%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : ALG047+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n022.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 15:33:54 EDT 2022 % Result : Theorem 7.44s 2.29s % Output : Proof 22.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : ALG047+1 : TPTP v8.1.0. Released v2.7.0. % 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.14/0.35 % Computer : n022.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Wed Jun 8 20:06:50 EDT 2022 % 0.14/0.35 % CPUTime : % 0.46/0.60 ____ _ % 0.46/0.60 ___ / __ \_____(_)___ ________ __________ % 0.46/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.46/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.46/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.46/0.60 % 0.46/0.60 A Theorem Prover for First-Order Logic % 0.46/0.61 (ePrincess v.1.0) % 0.46/0.61 % 0.46/0.61 (c) Philipp Rümmer, 2009-2015 % 0.46/0.61 (c) Peter Backeman, 2014-2015 % 0.46/0.61 (contributions by Angelo Brillout, Peter Baumgartner) % 0.46/0.61 Free software under GNU Lesser General Public License (LGPL). % 0.46/0.61 Bug reports to peter@backeman.se % 0.46/0.61 % 0.46/0.61 For more information, visit http://user.uu.se/~petba168/breu/ % 0.46/0.61 % 0.46/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.71/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 3.00/1.25 Prover 0: Preprocessing ... % 5.23/1.73 Prover 0: Constructing countermodel ... % 7.44/2.29 Prover 0: proved (1631ms) % 7.44/2.29 % 7.44/2.29 No countermodel exists, formula is valid % 7.44/2.29 % SZS status Theorem for theBenchmark % 7.44/2.29 % 7.44/2.29 Generating proof ... found it (size 6328) % 18.98/5.00 % 18.98/5.00 % SZS output start Proof for theBenchmark % 18.98/5.00 Assumed formulas after preprocessing and simplification: % 18.98/5.00 | (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] : (unit = e0 & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v15 = e4) & ~ (v14 = v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~ (v14 = e4) & ~ (v14 = e3) & ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v13 = e4) & ~ (v13 = e2) & ~ (v12 = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v12 = e4) & ~ (v12 = e1) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v11 = e4) & ~ (v11 = e3) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v10 = e3) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & ~ (v9 = e3) & ~ (v9 = e2) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v8 = e3) & ~ (v8 = e1) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v7 = e4) & ~ (v7 = e2) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v6 = e3) & ~ (v6 = e2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v5 = e2) & ~ (v4 = v0) & ~ (v4 = e2) & ~ (v4 = e1) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v3 = e4) & ~ (v3 = e1) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e3) & ~ (v2 = e1) & ~ (v1 = v0) & ~ (v1 = e2) & ~ (v1 = e1) & ~ (v0 = e1) & ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(v15, e4) = v71 & op(v14, e4) = v70 & op(v14, e3) = v69 & op(v13, e4) = v68 & op(v13, e2) = v67 & op(v12, e4) = v66 & op(v12, e1) = v65 & op(v11, e4) = v63 & op(v11, e3) = v64 & op(v10, e3) = v62 & op(v9, e3) = v61 & op(v9, e2) = v60 & op(v8, e3) = v59 & op(v8, e1) = v58 & op(v7, e4) = v56 & op(v7, e2) = v57 & op(v6, e3) = v54 & op(v6, e2) = v55 & op(v5, e2) = v53 & op(v4, e2) = v52 & op(v4, e1) = v51 & op(v3, e4) = v49 & op(v3, e1) = v50 & op(v2, e3) = v47 & op(v2, e1) = v48 & op(v1, e2) = v45 & op(v1, e1) = v46 & op(v0, e1) = v44 & op(e4, v15) = v43 & op(e4, v14) = v35 & op(e4, v13) = v28 & op(e4, v12) = v21 & op(e4, v11) = v42 & op(e4, v7) = v40 & op(e4, v3) = v38 & op(e4, e4) = v15 & op(e4, e3) = v14 & op(e4, e2) = v13 & op(e4, e1) = v12 & op(e4, e0) = e4 & op(e3, v14) = v36 & op(e3, v11) = v41 & op(e3, v10) = v34 & op(e3, v9) = v26 & op(e3, v8) = v19 & op(e3, v6) = v33 & op(e3, v2) = v31 & op(e3, e4) = v11 & op(e3, e3) = v10 & op(e3, e2) = v9 & op(e3, e1) = v8 & op(e3, e0) = e3 & op(e2, v13) = v29 & op(e2, v9) = v27 & op(e2, v7) = v39 & op(e2, v6) = v32 & op(e2, v5) = v25 & op(e2, v4) = v17 & op(e2, v1) = v24 & op(e2, e4) = v7 & op(e2, e3) = v6 & op(e2, e2) = v5 & op(e2, e1) = v4 & op(e2, e0) = e2 & op(e1, v12) = v22 & op(e1, v8) = v20 & op(e1, v4) = v18 & op(e1, v3) = v37 & op(e1, v2) = v30 & op(e1, v1) = v23 & op(e1, v0) = v16 & op(e1, e4) = v3 & op(e1, e3) = v2 & op(e1, e2) = v1 & op(e1, e1) = v0 & op(e1, e0) = e1 & op(e0, e4) = e4 & op(e0, e3) = e3 & op(e0, e2) = e2 & op(e0, e1) = e1 & op(e0, e0) = e0 & ! [v72] : ! [v73] : ! [v74] : ! [v75] : (v73 = v72 | ~ (op(v75, v74) = v73) | ~ (op(v75, v74) = v72)) & ( ~ (v69 = e4) | v70 = e3 | v14 = v11) & ( ~ (v67 = e4) | v68 = e2 | v13 = v7) & ( ~ (v65 = e4) | v66 = e1 | v12 = v3) & ( ~ (v63 = e3) | v64 = e4 | v14 = v11) & ( ~ (v60 = e3) | v61 = e2 | v9 = v6) & ( ~ (v58 = e3) | v59 = e1 | v8 = v2) & ( ~ (v56 = e2) | v57 = e4 | v13 = v7) & ( ~ (v54 = e2) | v55 = e3 | v9 = v6) & ( ~ (v51 = e2) | v52 = e1 | v4 = v1) & ( ~ (v49 = e1) | v50 = e4 | v12 = v3) & ( ~ (v47 = e1) | v48 = e3 | v8 = v2) & ( ~ (v45 = e1) | v46 = e2 | v4 = v1) & ( ~ (v15 = e3) | ~ (v10 = e4)) & ( ~ (v15 = e2) | ~ (v5 = e4)) & ( ~ (v15 = e1) | ~ (v0 = e4)) & ( ~ (v15 = e0) | v10 = e4 | v5 = e4 | v0 = e4 | (v9 = e4 & ~ (v11 = e2)) | (v8 = e4 & ~ (v11 = e1)) | (v6 = e4 & ~ (v7 = e3)) | (v4 = e4 & ~ (v7 = e1)) | (v2 = e4 & ~ (v3 = e3)) | (v1 = e4 & ~ (v3 = e2))) & ( ~ (v10 = e2) | ~ (v5 = e3)) & ( ~ (v10 = e1) | ~ (v0 = e3)) & ( ~ (v10 = e0) | v15 = e3 | v5 = e3 | v0 = e3 | (v13 = e3 & ~ (v14 = e2)) | (v12 = e3 & ~ (v14 = e1)) | (v7 = e3 & ~ (v6 = e4)) | (v4 = e3 & ~ (v6 = e1)) | (v3 = e3 & ~ (v2 = e4)) | (v1 = e3 & ~ (v2 = e2))) & ( ~ (v5 = e1) | ~ (v0 = e2)) & ( ~ (v5 = e0) | v15 = e2 | v10 = e2 | v0 = e2 | (v14 = e2 & ~ (v13 = e3)) | (v12 = e2 & ~ (v13 = e1)) | (v11 = e2 & ~ (v9 = e4)) | (v8 = e2 & ~ (v9 = e1)) | (v3 = e2 & ~ (v1 = e4)) | (v2 = e2 & ~ (v1 = e3))) & ( ~ (v0 = e0) | v15 = e1 | v10 = e1 | v5 = e1 | (v14 = e1 & ~ (v12 = e3)) | (v13 = e1 & ~ (v12 = e2)) | (v11 = e1 & ~ (v8 = e4)) | (v9 = e1 & ~ (v8 = e2)) | (v7 = e1 & ~ (v4 = e4)) | (v6 = e1 & ~ (v4 = e3))) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v15 = e3 | v15 = e2 | v15 = e1 | v10 = e4 | v10 = e2 | v10 = e1 | v5 = e4 | v5 = e3 | v5 = e1 | v0 = e4 | v0 = e3 | v0 = e2) & (v15 = e3 | v13 = e3 | v12 = e3) & (v15 = e3 | v7 = e3 | v3 = e3) & (v15 = e2 | v14 = e2 | v12 = e2) & (v15 = e2 | v11 = e2 | v3 = e2) & (v15 = e1 | v14 = e1 | v13 = e1) & (v15 = e1 | v11 = e1 | v7 = e1) & (v15 = e0 | v14 = e0 | v13 = e0 | v12 = e0) & (v15 = e0 | v11 = e0 | v7 = e0 | v3 = e0) & (v14 = e2 | v14 = e1 | v14 = e0) & (v14 = e2 | v10 = e2 | v2 = e2) & (v14 = e1 | v10 = e1 | v6 = e1) & (v14 = e0 | v10 = e0 | v6 = e0 | v2 = e0) & (v13 = e3 | v13 = e1 | v13 = e0) & (v13 = e3 | v5 = e3 | v1 = e3) & (v13 = e1 | v9 = e1 | v5 = e1) & (v13 = e0 | v9 = e0 | v5 = e0 | v1 = e0) & (v12 = e3 | v12 = e2 | v12 = e0) & (v12 = e3 | v4 = e3 | v0 = e3) & (v12 = e2 | v8 = e2 | v0 = e2) & (v12 = e0 | v8 = e0 | v4 = e0 | v0 = e0) & (v11 = e2 | v11 = e1 | v11 = e0) & (v11 = e2 | v10 = e2 | v8 = e2) & (v11 = e1 | v10 = e1 | v9 = e1) & (v11 = e0 | v10 = e0 | v9 = e0 | v8 = e0) & (v10 = e4 | v10 = e2 | v10 = e1 | v10 = e0) & (v10 = e4 | v9 = e4 | v8 = e4) & (v10 = e4 | v6 = e4 | v2 = e4) & (v9 = e4 | v9 = e1 | v9 = e0) & (v9 = e4 | v5 = e4 | v1 = e4) & (v8 = e4 | v8 = e2 | v8 = e0) & (v8 = e4 | v4 = e4 | v0 = e4) & (v7 = e3 | v7 = e1 | v7 = e0) & (v7 = e3 | v5 = e3 | v4 = e3) & (v7 = e1 | v6 = e1 | v5 = e1) & (v7 = e0 | v6 = e0 | v5 = e0 | v4 = e0) & (v6 = e4 | v6 = e1 | v6 = e0) & (v6 = e4 | v5 = e4 | v4 = e4) & (v5 = e4 | v5 = e3 | v5 = e1 | v5 = e0) & (v4 = e4 | v4 = e3 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 = e0) & (v3 = e3 | v1 = e3 | v0 = e3) & (v3 = e2 | v2 = e2 | v0 = e2) & (v3 = e0 | v2 = e0 | v1 = e0 | v0 = e0) & (v2 = e4 | v2 = e2 | v2 = e0) & (v2 = e4 | v1 = e4 | v0 = e4) & (v1 = e4 | v1 = e3 | v1 = e0) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e0) & ((v15 = e0 & v10 = e0 & v5 = e0 & v0 = e0) | (( ~ (v42 = e3) | v41 = e4) & ( ~ (v40 = e2) | v39 = e4) & ( ~ (v38 = e1) | v37 = e4)) | (( ~ (v36 = e4) | v35 = e3) & ( ~ (v33 = e2) | v32 = e3) & ( ~ (v31 = e1) | v30 = e3)) | (( ~ (v29 = e4) | v28 = e2) & ( ~ (v27 = e3) | v26 = e2) & ( ~ (v24 = e1) | v23 = e2)) | (( ~ (v22 = e4) | v21 = e1) & ( ~ (v20 = e3) | v19 = e1) & ( ~ (v18 = e2) | v17 = e1))) & (( ~ (v15 = e3) & ~ (v5 = e3) & ~ (v0 = e3)) | ( ~ (v15 = e2) & ~ (v10 = e2) & ~ (v0 = e2)) | ( ~ (v15 = e1) & ~ (v10 = e1) & ~ (v5 = e1)) | ( ~ (v10 = e4) & ~ (v5 = e4) & ~ (v0 = e4)))) % 19.27/5.06 | 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 yields: % 19.27/5.06 | (1) unit = e0 & ~ (all_0_56_56 = all_0_57_57) & ~ (all_0_56_56 = all_0_58_58) & ~ (all_0_56_56 = all_0_59_59) & ~ (all_0_56_56 = all_0_60_60) & ~ (all_0_56_56 = all_0_64_64) & ~ (all_0_56_56 = all_0_68_68) & ~ (all_0_56_56 = e4) & ~ (all_0_57_57 = all_0_58_58) & ~ (all_0_57_57 = all_0_59_59) & ~ (all_0_57_57 = all_0_61_61) & ~ (all_0_57_57 = all_0_65_65) & ~ (all_0_57_57 = all_0_69_69) & ~ (all_0_57_57 = e4) & ~ (all_0_57_57 = e3) & ~ (all_0_58_58 = all_0_59_59) & ~ (all_0_58_58 = all_0_62_62) & ~ (all_0_58_58 = all_0_66_66) & ~ (all_0_58_58 = all_0_70_70) & ~ (all_0_58_58 = e4) & ~ (all_0_58_58 = e2) & ~ (all_0_59_59 = all_0_63_63) & ~ (all_0_59_59 = all_0_67_67) & ~ (all_0_59_59 = all_0_71_71) & ~ (all_0_59_59 = e4) & ~ (all_0_59_59 = e1) & ~ (all_0_60_60 = all_0_61_61) & ~ (all_0_60_60 = all_0_62_62) & ~ (all_0_60_60 = all_0_63_63) & ~ (all_0_60_60 = all_0_64_64) & ~ (all_0_60_60 = all_0_68_68) & ~ (all_0_60_60 = e4) & ~ (all_0_60_60 = e3) & ~ (all_0_61_61 = all_0_62_62) & ~ (all_0_61_61 = all_0_63_63) & ~ (all_0_61_61 = all_0_65_65) & ~ (all_0_61_61 = all_0_69_69) & ~ (all_0_61_61 = e3) & ~ (all_0_62_62 = all_0_63_63) & ~ (all_0_62_62 = all_0_66_66) & ~ (all_0_62_62 = all_0_70_70) & ~ (all_0_62_62 = e3) & ~ (all_0_62_62 = e2) & ~ (all_0_63_63 = all_0_67_67) & ~ (all_0_63_63 = all_0_71_71) & ~ (all_0_63_63 = e3) & ~ (all_0_63_63 = e1) & ~ (all_0_64_64 = all_0_65_65) & ~ (all_0_64_64 = all_0_66_66) & ~ (all_0_64_64 = all_0_67_67) & ~ (all_0_64_64 = all_0_68_68) & ~ (all_0_64_64 = e4) & ~ (all_0_64_64 = e2) & ~ (all_0_65_65 = all_0_66_66) & ~ (all_0_65_65 = all_0_67_67) & ~ (all_0_65_65 = all_0_69_69) & ~ (all_0_65_65 = e3) & ~ (all_0_65_65 = e2) & ~ (all_0_66_66 = all_0_67_67) & ~ (all_0_66_66 = all_0_70_70) & ~ (all_0_66_66 = e2) & ~ (all_0_67_67 = all_0_71_71) & ~ (all_0_67_67 = e2) & ~ (all_0_67_67 = e1) & ~ (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 = e4) & ~ (all_0_68_68 = e1) & ~ (all_0_69_69 = all_0_70_70) & ~ (all_0_69_69 = all_0_71_71) & ~ (all_0_69_69 = e3) & ~ (all_0_69_69 = e1) & ~ (all_0_70_70 = all_0_71_71) & ~ (all_0_70_70 = e2) & ~ (all_0_70_70 = e1) & ~ (all_0_71_71 = e1) & ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(all_0_56_56, e4) = all_0_0_0 & op(all_0_57_57, e4) = all_0_1_1 & op(all_0_57_57, e3) = all_0_2_2 & op(all_0_58_58, e4) = all_0_3_3 & op(all_0_58_58, e2) = all_0_4_4 & op(all_0_59_59, e4) = all_0_5_5 & op(all_0_59_59, e1) = all_0_6_6 & op(all_0_60_60, e4) = all_0_8_8 & op(all_0_60_60, e3) = all_0_7_7 & op(all_0_61_61, e3) = all_0_9_9 & op(all_0_62_62, e3) = all_0_10_10 & op(all_0_62_62, e2) = all_0_11_11 & op(all_0_63_63, e3) = all_0_12_12 & op(all_0_63_63, e1) = all_0_13_13 & op(all_0_64_64, e4) = all_0_15_15 & op(all_0_64_64, e2) = all_0_14_14 & op(all_0_65_65, e3) = all_0_17_17 & op(all_0_65_65, e2) = all_0_16_16 & op(all_0_66_66, e2) = all_0_18_18 & op(all_0_67_67, e2) = all_0_19_19 & op(all_0_67_67, e1) = all_0_20_20 & op(all_0_68_68, e4) = all_0_22_22 & op(all_0_68_68, e1) = all_0_21_21 & op(all_0_69_69, e3) = all_0_24_24 & op(all_0_69_69, e1) = all_0_23_23 & op(all_0_70_70, e2) = all_0_26_26 & op(all_0_70_70, e1) = all_0_25_25 & op(all_0_71_71, e1) = all_0_27_27 & op(e4, all_0_56_56) = all_0_28_28 & op(e4, all_0_57_57) = all_0_36_36 & op(e4, all_0_58_58) = all_0_43_43 & op(e4, all_0_59_59) = all_0_50_50 & op(e4, all_0_60_60) = all_0_29_29 & op(e4, all_0_64_64) = all_0_31_31 & op(e4, all_0_68_68) = all_0_33_33 & op(e4, e4) = all_0_56_56 & op(e4, e3) = all_0_57_57 & op(e4, e2) = all_0_58_58 & op(e4, e1) = all_0_59_59 & op(e4, e0) = e4 & op(e3, all_0_57_57) = all_0_35_35 & op(e3, all_0_60_60) = all_0_30_30 & op(e3, all_0_61_61) = all_0_37_37 & op(e3, all_0_62_62) = all_0_45_45 & op(e3, all_0_63_63) = all_0_52_52 & op(e3, all_0_65_65) = all_0_38_38 & op(e3, all_0_69_69) = all_0_40_40 & op(e3, e4) = all_0_60_60 & op(e3, e3) = all_0_61_61 & op(e3, e2) = all_0_62_62 & op(e3, e1) = all_0_63_63 & op(e3, e0) = e3 & op(e2, all_0_58_58) = all_0_42_42 & op(e2, all_0_62_62) = all_0_44_44 & op(e2, all_0_64_64) = all_0_32_32 & op(e2, all_0_65_65) = all_0_39_39 & op(e2, all_0_66_66) = all_0_46_46 & op(e2, all_0_67_67) = all_0_54_54 & op(e2, all_0_70_70) = all_0_47_47 & op(e2, e4) = all_0_64_64 & op(e2, e3) = all_0_65_65 & op(e2, e2) = all_0_66_66 & op(e2, e1) = all_0_67_67 & op(e2, e0) = e2 & op(e1, all_0_59_59) = all_0_49_49 & op(e1, all_0_63_63) = all_0_51_51 & op(e1, all_0_67_67) = all_0_53_53 & op(e1, all_0_68_68) = all_0_34_34 & op(e1, all_0_69_69) = all_0_41_41 & op(e1, all_0_70_70) = all_0_48_48 & op(e1, all_0_71_71) = all_0_55_55 & op(e1, e4) = all_0_68_68 & op(e1, e3) = all_0_69_69 & op(e1, e2) = all_0_70_70 & op(e1, e1) = all_0_71_71 & op(e1, e0) = e1 & op(e0, e4) = e4 & op(e0, e3) = e3 & op(e0, e2) = e2 & op(e0, e1) = e1 & op(e0, e0) = e0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) & ( ~ (all_0_2_2 = e4) | all_0_1_1 = e3 | all_0_57_57 = all_0_60_60) & ( ~ (all_0_4_4 = e4) | all_0_3_3 = e2 | all_0_58_58 = all_0_64_64) & ( ~ (all_0_6_6 = e4) | all_0_5_5 = e1 | all_0_59_59 = all_0_68_68) & ( ~ (all_0_8_8 = e3) | all_0_7_7 = e4 | all_0_57_57 = all_0_60_60) & ( ~ (all_0_11_11 = e3) | all_0_10_10 = e2 | all_0_62_62 = all_0_65_65) & ( ~ (all_0_13_13 = e3) | all_0_12_12 = e1 | all_0_63_63 = all_0_69_69) & ( ~ (all_0_15_15 = e2) | all_0_14_14 = e4 | all_0_58_58 = all_0_64_64) & ( ~ (all_0_17_17 = e2) | all_0_16_16 = e3 | all_0_62_62 = all_0_65_65) & ( ~ (all_0_20_20 = e2) | all_0_19_19 = e1 | all_0_67_67 = all_0_70_70) & ( ~ (all_0_22_22 = e1) | all_0_21_21 = e4 | all_0_59_59 = all_0_68_68) & ( ~ (all_0_24_24 = e1) | all_0_23_23 = e3 | all_0_63_63 = all_0_69_69) & ( ~ (all_0_26_26 = e1) | all_0_25_25 = e2 | all_0_67_67 = all_0_70_70) & ( ~ (all_0_56_56 = e3) | ~ (all_0_61_61 = e4)) & ( ~ (all_0_56_56 = e2) | ~ (all_0_66_66 = e4)) & ( ~ (all_0_56_56 = e1) | ~ (all_0_71_71 = e4)) & ( ~ (all_0_56_56 = e0) | all_0_61_61 = e4 | all_0_66_66 = e4 | all_0_71_71 = e4 | (all_0_62_62 = e4 & ~ (all_0_60_60 = e2)) | (all_0_63_63 = e4 & ~ (all_0_60_60 = e1)) | (all_0_65_65 = e4 & ~ (all_0_64_64 = e3)) | (all_0_67_67 = e4 & ~ (all_0_64_64 = e1)) | (all_0_69_69 = e4 & ~ (all_0_68_68 = e3)) | (all_0_70_70 = e4 & ~ (all_0_68_68 = e2))) & ( ~ (all_0_61_61 = e2) | ~ (all_0_66_66 = e3)) & ( ~ (all_0_61_61 = e1) | ~ (all_0_71_71 = e3)) & ( ~ (all_0_61_61 = e0) | all_0_56_56 = e3 | all_0_66_66 = e3 | all_0_71_71 = e3 | (all_0_58_58 = e3 & ~ (all_0_57_57 = e2)) | (all_0_59_59 = e3 & ~ (all_0_57_57 = e1)) | (all_0_64_64 = e3 & ~ (all_0_65_65 = e4)) | (all_0_67_67 = e3 & ~ (all_0_65_65 = e1)) | (all_0_68_68 = e3 & ~ (all_0_69_69 = e4)) | (all_0_70_70 = e3 & ~ (all_0_69_69 = e2))) & ( ~ (all_0_66_66 = e1) | ~ (all_0_71_71 = e2)) & ( ~ (all_0_66_66 = e0) | all_0_56_56 = e2 | all_0_61_61 = e2 | all_0_71_71 = e2 | (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) | (all_0_60_60 = e2 & ~ (all_0_62_62 = e4)) | (all_0_63_63 = e2 & ~ (all_0_62_62 = e1)) | (all_0_68_68 = e2 & ~ (all_0_70_70 = e4)) | (all_0_69_69 = e2 & ~ (all_0_70_70 = e3))) & ( ~ (all_0_71_71 = e0) | all_0_56_56 = e1 | all_0_61_61 = e1 | all_0_66_66 = e1 | (all_0_57_57 = e1 & ~ (all_0_59_59 = e3)) | (all_0_58_58 = e1 & ~ (all_0_59_59 = e2)) | (all_0_60_60 = e1 & ~ (all_0_63_63 = e4)) | (all_0_62_62 = e1 & ~ (all_0_63_63 = e2)) | (all_0_64_64 = e1 & ~ (all_0_67_67 = e4)) | (all_0_65_65 = e1 & ~ (all_0_67_67 = e3))) & (all_0_56_56 = e3 | all_0_56_56 = e2 | all_0_56_56 = e1 | all_0_56_56 = e0) & (all_0_56_56 = e3 | all_0_56_56 = e2 | all_0_56_56 = e1 | all_0_61_61 = e4 | all_0_61_61 = e2 | all_0_61_61 = e1 | all_0_66_66 = e4 | all_0_66_66 = e3 | all_0_66_66 = e1 | all_0_71_71 = e4 | all_0_71_71 = e3 | all_0_71_71 = e2) & (all_0_56_56 = e3 | all_0_58_58 = e3 | all_0_59_59 = e3) & (all_0_56_56 = e3 | all_0_64_64 = e3 | all_0_68_68 = e3) & (all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_59_59 = e2) & (all_0_56_56 = e2 | all_0_60_60 = e2 | all_0_68_68 = e2) & (all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1) & (all_0_56_56 = e1 | all_0_60_60 = e1 | all_0_64_64 = e1) & (all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 | all_0_59_59 = e0) & (all_0_56_56 = e0 | all_0_60_60 = e0 | all_0_64_64 = e0 | all_0_68_68 = e0) & (all_0_57_57 = e2 | all_0_57_57 = e1 | all_0_57_57 = e0) & (all_0_57_57 = e2 | all_0_61_61 = e2 | all_0_69_69 = e2) & (all_0_57_57 = e1 | all_0_61_61 = e1 | all_0_65_65 = e1) & (all_0_57_57 = e0 | all_0_61_61 = e0 | all_0_65_65 = e0 | all_0_69_69 = e0) & (all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0) & (all_0_58_58 = e3 | all_0_66_66 = e3 | all_0_70_70 = e3) & (all_0_58_58 = e1 | all_0_62_62 = e1 | all_0_66_66 = e1) & (all_0_58_58 = e0 | all_0_62_62 = e0 | all_0_66_66 = e0 | all_0_70_70 = e0) & (all_0_59_59 = e3 | all_0_59_59 = e2 | all_0_59_59 = e0) & (all_0_59_59 = e3 | all_0_67_67 = e3 | all_0_71_71 = e3) & (all_0_59_59 = e2 | all_0_63_63 = e2 | all_0_71_71 = e2) & (all_0_59_59 = e0 | all_0_63_63 = e0 | all_0_67_67 = e0 | all_0_71_71 = e0) & (all_0_60_60 = e2 | all_0_60_60 = e1 | all_0_60_60 = e0) & (all_0_60_60 = e2 | all_0_61_61 = e2 | all_0_63_63 = e2) & (all_0_60_60 = e1 | all_0_61_61 = e1 | all_0_62_62 = e1) & (all_0_60_60 = e0 | all_0_61_61 = e0 | all_0_62_62 = e0 | all_0_63_63 = e0) & (all_0_61_61 = e4 | all_0_61_61 = e2 | all_0_61_61 = e1 | all_0_61_61 = e0) & (all_0_61_61 = e4 | all_0_62_62 = e4 | all_0_63_63 = e4) & (all_0_61_61 = e4 | all_0_65_65 = e4 | all_0_69_69 = e4) & (all_0_62_62 = e4 | all_0_62_62 = e1 | all_0_62_62 = e0) & (all_0_62_62 = e4 | all_0_66_66 = e4 | all_0_70_70 = e4) & (all_0_63_63 = e4 | all_0_63_63 = e2 | all_0_63_63 = e0) & (all_0_63_63 = e4 | all_0_67_67 = e4 | all_0_71_71 = e4) & (all_0_64_64 = e3 | all_0_64_64 = e1 | all_0_64_64 = e0) & (all_0_64_64 = e3 | all_0_66_66 = e3 | all_0_67_67 = e3) & (all_0_64_64 = e1 | all_0_65_65 = e1 | all_0_66_66 = e1) & (all_0_64_64 = e0 | all_0_65_65 = e0 | all_0_66_66 = e0 | all_0_67_67 = e0) & (all_0_65_65 = e4 | all_0_65_65 = e1 | all_0_65_65 = e0) & (all_0_65_65 = e4 | all_0_66_66 = e4 | all_0_67_67 = e4) & (all_0_66_66 = e4 | all_0_66_66 = e3 | all_0_66_66 = e1 | all_0_66_66 = e0) & (all_0_67_67 = e4 | all_0_67_67 = e3 | all_0_67_67 = e0) & (all_0_68_68 = e3 | all_0_68_68 = e2 | all_0_68_68 = e0) & (all_0_68_68 = e3 | all_0_70_70 = e3 | all_0_71_71 = e3) & (all_0_68_68 = e2 | all_0_69_69 = e2 | all_0_71_71 = e2) & (all_0_68_68 = e0 | all_0_69_69 = e0 | all_0_70_70 = e0 | all_0_71_71 = e0) & (all_0_69_69 = e4 | all_0_69_69 = e2 | all_0_69_69 = e0) & (all_0_69_69 = e4 | all_0_70_70 = e4 | all_0_71_71 = e4) & (all_0_70_70 = e4 | all_0_70_70 = e3 | all_0_70_70 = e0) & (all_0_71_71 = e4 | all_0_71_71 = e3 | all_0_71_71 = e2 | all_0_71_71 = e0) & ((all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) | (( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3)) | (( ~ (all_0_42_42 = e4) | all_0_43_43 = e2) & ( ~ (all_0_44_44 = e3) | all_0_45_45 = e2) & ( ~ (all_0_47_47 = e1) | all_0_48_48 = e2)) | (( ~ (all_0_49_49 = e4) | all_0_50_50 = e1) & ( ~ (all_0_51_51 = e3) | all_0_52_52 = e1) & ( ~ (all_0_53_53 = e2) | all_0_54_54 = e1))) & (( ~ (all_0_56_56 = e3) & ~ (all_0_66_66 = e3) & ~ (all_0_71_71 = e3)) | ( ~ (all_0_56_56 = e2) & ~ (all_0_61_61 = e2) & ~ (all_0_71_71 = e2)) | ( ~ (all_0_56_56 = e1) & ~ (all_0_61_61 = e1) & ~ (all_0_66_66 = e1)) | ( ~ (all_0_61_61 = e4) & ~ (all_0_66_66 = e4) & ~ (all_0_71_71 = e4))) % 19.34/5.07 | % 19.34/5.07 | Applying alpha-rule on (1) yields: % 19.34/5.07 | (2) all_0_57_57 = e0 | all_0_61_61 = e0 | all_0_65_65 = e0 | all_0_69_69 = e0 % 19.34/5.07 | (3) all_0_69_69 = e4 | all_0_69_69 = e2 | all_0_69_69 = e0 % 19.34/5.07 | (4) ~ (all_0_60_60 = e4) % 19.34/5.07 | (5) all_0_60_60 = e1 | all_0_61_61 = e1 | all_0_62_62 = e1 % 19.34/5.07 | (6) op(e2, e3) = all_0_65_65 % 19.34/5.07 | (7) ~ (all_0_70_70 = e2) % 19.34/5.07 | (8) ~ (all_0_56_56 = e3) | ~ (all_0_61_61 = e4) % 19.34/5.07 | (9) op(e1, e3) = all_0_69_69 % 19.34/5.07 | (10) all_0_67_67 = e4 | all_0_67_67 = e3 | all_0_67_67 = e0 % 19.34/5.07 | (11) op(e2, all_0_62_62) = all_0_44_44 % 19.34/5.07 | (12) ~ (all_0_56_56 = e0) | all_0_61_61 = e4 | all_0_66_66 = e4 | all_0_71_71 = e4 | (all_0_62_62 = e4 & ~ (all_0_60_60 = e2)) | (all_0_63_63 = e4 & ~ (all_0_60_60 = e1)) | (all_0_65_65 = e4 & ~ (all_0_64_64 = e3)) | (all_0_67_67 = e4 & ~ (all_0_64_64 = e1)) | (all_0_69_69 = e4 & ~ (all_0_68_68 = e3)) | (all_0_70_70 = e4 & ~ (all_0_68_68 = e2)) % 19.34/5.07 | (13) op(all_0_63_63, e1) = all_0_13_13 % 19.34/5.07 | (14) ~ (all_0_68_68 = e4) % 19.34/5.07 | (15) ~ (e3 = e1) % 19.34/5.07 | (16) op(e1, all_0_67_67) = all_0_53_53 % 19.34/5.07 | (17) ~ (e4 = e0) % 19.34/5.07 | (18) ~ (all_0_57_57 = all_0_69_69) % 19.34/5.07 | (19) ~ (all_0_67_67 = e1) % 19.34/5.07 | (20) op(e2, e2) = all_0_66_66 % 19.34/5.07 | (21) op(e3, all_0_65_65) = all_0_38_38 % 19.34/5.08 | (22) ~ (all_0_59_59 = all_0_67_67) % 19.34/5.08 | (23) all_0_66_66 = e4 | all_0_66_66 = e3 | all_0_66_66 = e1 | all_0_66_66 = e0 % 19.34/5.08 | (24) ~ (all_0_68_68 = all_0_71_71) % 19.34/5.08 | (25) op(e4, e1) = all_0_59_59 % 19.34/5.08 | (26) ~ (all_0_67_67 = all_0_71_71) % 19.34/5.08 | (27) all_0_56_56 = e3 | all_0_64_64 = e3 | all_0_68_68 = e3 % 19.34/5.08 | (28) ~ (all_0_59_59 = all_0_71_71) % 19.34/5.08 | (29) op(e2, all_0_66_66) = all_0_46_46 % 19.34/5.08 | (30) op(all_0_70_70, e2) = all_0_26_26 % 19.34/5.08 | (31) op(all_0_58_58, e2) = all_0_4_4 % 19.34/5.08 | (32) all_0_56_56 = e3 | all_0_56_56 = e2 | all_0_56_56 = e1 | all_0_61_61 = e4 | all_0_61_61 = e2 | all_0_61_61 = e1 | all_0_66_66 = e4 | all_0_66_66 = e3 | all_0_66_66 = e1 | all_0_71_71 = e4 | all_0_71_71 = e3 | all_0_71_71 = e2 % 19.34/5.08 | (33) all_0_68_68 = e3 | all_0_70_70 = e3 | all_0_71_71 = e3 % 19.34/5.08 | (34) ~ (all_0_2_2 = e4) | all_0_1_1 = e3 | all_0_57_57 = all_0_60_60 % 19.34/5.08 | (35) op(e2, all_0_70_70) = all_0_47_47 % 19.34/5.08 | (36) ~ (e3 = e0) % 19.34/5.08 | (37) op(e1, e4) = all_0_68_68 % 19.34/5.08 | (38) all_0_63_63 = e4 | all_0_67_67 = e4 | all_0_71_71 = e4 % 19.34/5.08 | (39) ~ (all_0_60_60 = all_0_61_61) % 19.34/5.08 | (40) ~ (all_0_61_61 = e2) | ~ (all_0_66_66 = e3) % 19.34/5.08 | (41) ~ (all_0_62_62 = e3) % 19.34/5.08 | (42) all_0_62_62 = e4 | all_0_66_66 = e4 | all_0_70_70 = e4 % 19.34/5.08 | (43) ~ (all_0_56_56 = all_0_58_58) % 19.34/5.08 | (44) ~ (all_0_61_61 = all_0_63_63) % 19.34/5.08 | (45) all_0_64_64 = e3 | all_0_64_64 = e1 | all_0_64_64 = e0 % 19.34/5.08 | (46) ~ (all_0_60_60 = e3) % 19.34/5.08 | (47) ~ (all_0_69_69 = all_0_71_71) % 19.34/5.08 | (48) ~ (e2 = e0) % 19.34/5.08 | (49) ~ (e4 = e2) % 19.34/5.08 | (50) ~ (all_0_56_56 = all_0_57_57) % 19.34/5.08 | (51) ~ (all_0_56_56 = all_0_68_68) % 19.34/5.08 | (52) op(all_0_67_67, e1) = all_0_20_20 % 19.34/5.08 | (53) all_0_62_62 = e4 | all_0_62_62 = e1 | all_0_62_62 = e0 % 19.34/5.08 | (54) all_0_58_58 = e3 | all_0_66_66 = e3 | all_0_70_70 = e3 % 19.34/5.08 | (55) op(e2, e0) = e2 % 19.34/5.08 | (56) ~ (all_0_56_56 = e1) | ~ (all_0_71_71 = e4) % 19.34/5.08 | (57) all_0_68_68 = e0 | all_0_69_69 = e0 | all_0_70_70 = e0 | all_0_71_71 = e0 % 19.34/5.08 | (58) all_0_59_59 = e3 | all_0_59_59 = e2 | all_0_59_59 = e0 % 19.34/5.08 | (59) ~ (all_0_6_6 = e4) | all_0_5_5 = e1 | all_0_59_59 = all_0_68_68 % 19.34/5.08 | (60) all_0_57_57 = e2 | all_0_61_61 = e2 | all_0_69_69 = e2 % 19.34/5.08 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 19.34/5.08 | (62) op(all_0_63_63, e3) = all_0_12_12 % 19.34/5.08 | (63) ~ (all_0_66_66 = e0) | all_0_56_56 = e2 | all_0_61_61 = e2 | all_0_71_71 = e2 | (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) | (all_0_60_60 = e2 & ~ (all_0_62_62 = e4)) | (all_0_63_63 = e2 & ~ (all_0_62_62 = e1)) | (all_0_68_68 = e2 & ~ (all_0_70_70 = e4)) | (all_0_69_69 = e2 & ~ (all_0_70_70 = e3)) % 19.34/5.08 | (64) op(e3, all_0_60_60) = all_0_30_30 % 19.34/5.08 | (65) op(e1, all_0_63_63) = all_0_51_51 % 19.34/5.08 | (66) ~ (all_0_65_65 = all_0_66_66) % 19.34/5.08 | (67) op(e3, all_0_57_57) = all_0_35_35 % 19.34/5.08 | (68) all_0_60_60 = e2 | all_0_60_60 = e1 | all_0_60_60 = e0 % 19.34/5.08 | (69) op(all_0_69_69, e3) = all_0_24_24 % 19.34/5.08 | (70) ~ (all_0_62_62 = all_0_63_63) % 19.34/5.08 | (71) ~ (all_0_57_57 = all_0_58_58) % 19.34/5.08 | (72) op(all_0_62_62, e3) = all_0_10_10 % 19.34/5.08 | (73) ~ (all_0_65_65 = all_0_69_69) % 19.34/5.08 | (74) all_0_61_61 = e4 | all_0_62_62 = e4 | all_0_63_63 = e4 % 19.34/5.08 | (75) ~ (all_0_65_65 = e3) % 19.34/5.08 | (76) ~ (all_0_60_60 = all_0_63_63) % 19.34/5.08 | (77) ~ (all_0_58_58 = e2) % 19.34/5.08 | (78) all_0_61_61 = e4 | all_0_61_61 = e2 | all_0_61_61 = e1 | all_0_61_61 = e0 % 19.34/5.08 | (79) op(all_0_69_69, e1) = all_0_23_23 % 19.34/5.08 | (80) ~ (all_0_66_66 = e1) | ~ (all_0_71_71 = e2) % 19.34/5.08 | (81) op(e1, e2) = all_0_70_70 % 19.34/5.08 | (82) ~ (all_0_66_66 = all_0_70_70) % 19.34/5.08 | (83) ~ (all_0_60_60 = all_0_68_68) % 19.34/5.08 | (84) op(e3, e2) = all_0_62_62 % 19.34/5.08 | (85) ~ (all_0_66_66 = all_0_67_67) % 19.34/5.08 | (86) op(e1, e0) = e1 % 19.34/5.08 | (87) ~ (all_0_61_61 = e3) % 19.34/5.08 | (88) op(all_0_60_60, e4) = all_0_8_8 % 19.34/5.08 | (89) op(e0, e1) = e1 % 19.34/5.08 | (90) op(e4, all_0_58_58) = all_0_43_43 % 19.34/5.08 | (91) ~ (all_0_57_57 = all_0_65_65) % 19.34/5.08 | (92) ~ (all_0_56_56 = e4) % 19.34/5.08 | (93) ~ (all_0_70_70 = e1) % 19.34/5.08 | (94) ~ (all_0_70_70 = all_0_71_71) % 19.34/5.08 | (95) op(all_0_70_70, e1) = all_0_25_25 % 19.34/5.08 | (96) ~ (all_0_59_59 = all_0_63_63) % 19.34/5.08 | (97) op(e3, all_0_62_62) = all_0_45_45 % 19.34/5.08 | (98) op(all_0_71_71, e1) = all_0_27_27 % 19.34/5.09 | (99) op(e0, e0) = e0 % 19.34/5.09 | (100) ~ (all_0_64_64 = all_0_66_66) % 19.34/5.09 | (101) ~ (all_0_65_65 = e2) % 19.34/5.09 | (102) op(e3, e3) = all_0_61_61 % 19.34/5.09 | (103) ~ (all_0_4_4 = e4) | all_0_3_3 = e2 | all_0_58_58 = all_0_64_64 % 19.34/5.09 | (104) ~ (all_0_61_61 = all_0_69_69) % 19.34/5.09 | (105) op(e3, all_0_69_69) = all_0_40_40 % 19.34/5.09 | (106) op(e4, e4) = all_0_56_56 % 19.34/5.09 | (107) ( ~ (all_0_56_56 = e3) & ~ (all_0_66_66 = e3) & ~ (all_0_71_71 = e3)) | ( ~ (all_0_56_56 = e2) & ~ (all_0_61_61 = e2) & ~ (all_0_71_71 = e2)) | ( ~ (all_0_56_56 = e1) & ~ (all_0_61_61 = e1) & ~ (all_0_66_66 = e1)) | ( ~ (all_0_61_61 = e4) & ~ (all_0_66_66 = e4) & ~ (all_0_71_71 = e4)) % 19.34/5.09 | (108) ~ (all_0_68_68 = e1) % 19.34/5.09 | (109) op(e4, e0) = e4 % 19.34/5.09 | (110) op(e0, e2) = e2 % 19.34/5.09 | (111) all_0_64_64 = e0 | all_0_65_65 = e0 | all_0_66_66 = e0 | all_0_67_67 = e0 % 19.34/5.09 | (112) all_0_68_68 = e2 | all_0_69_69 = e2 | all_0_71_71 = e2 % 19.34/5.09 | (113) op(all_0_68_68, e1) = all_0_21_21 % 19.34/5.09 | (114) ~ (all_0_56_56 = all_0_60_60) % 19.34/5.09 | (115) ~ (all_0_64_64 = e4) % 19.34/5.09 | (116) ~ (all_0_63_63 = all_0_67_67) % 19.34/5.09 | (117) op(all_0_56_56, e4) = all_0_0_0 % 19.34/5.09 | (118) ~ (all_0_17_17 = e2) | all_0_16_16 = e3 | all_0_62_62 = all_0_65_65 % 19.34/5.09 | (119) ~ (all_0_63_63 = e1) % 19.34/5.09 | (120) ~ (all_0_24_24 = e1) | all_0_23_23 = e3 | all_0_63_63 = all_0_69_69 % 19.34/5.09 | (121) op(e1, e1) = all_0_71_71 % 19.34/5.09 | (122) ~ (all_0_56_56 = all_0_64_64) % 19.34/5.09 | (123) op(all_0_59_59, e1) = all_0_6_6 % 19.34/5.09 | (124) ~ (all_0_57_57 = e3) % 19.34/5.09 | (125) all_0_71_71 = e4 | all_0_71_71 = e3 | all_0_71_71 = e2 | all_0_71_71 = e0 % 19.34/5.09 | (126) ~ (all_0_57_57 = all_0_61_61) % 19.34/5.09 | (127) ~ (all_0_56_56 = e2) | ~ (all_0_66_66 = e4) % 19.34/5.09 | (128) ~ (e3 = e2) % 19.34/5.09 | (129) op(e3, e1) = all_0_63_63 % 19.34/5.09 | (130) ~ (e4 = e3) % 19.34/5.09 | (131) all_0_56_56 = e3 | all_0_56_56 = e2 | all_0_56_56 = e1 | all_0_56_56 = e0 % 19.34/5.09 | (132) ~ (all_0_61_61 = e1) | ~ (all_0_71_71 = e3) % 19.34/5.09 | (133) op(e2, all_0_64_64) = all_0_32_32 % 19.34/5.09 | (134) op(all_0_57_57, e3) = all_0_2_2 % 19.34/5.09 | (135) ~ (all_0_62_62 = all_0_66_66) % 19.34/5.09 | (136) ~ (all_0_8_8 = e3) | all_0_7_7 = e4 | all_0_57_57 = all_0_60_60 % 19.34/5.09 | (137) op(e4, all_0_57_57) = all_0_36_36 % 19.34/5.09 | (138) all_0_65_65 = e4 | all_0_66_66 = e4 | all_0_67_67 = e4 % 19.34/5.09 | (139) ~ (all_0_67_67 = e2) % 19.34/5.09 | (140) all_0_63_63 = e4 | all_0_63_63 = e2 | all_0_63_63 = e0 % 19.34/5.09 | (141) ~ (all_0_57_57 = e4) % 19.34/5.09 | (142) all_0_58_58 = e0 | all_0_62_62 = e0 | all_0_66_66 = e0 | all_0_70_70 = e0 % 19.34/5.09 | (143) op(all_0_67_67, e2) = all_0_19_19 % 19.34/5.09 | (144) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 19.34/5.09 | (145) all_0_59_59 = e0 | all_0_63_63 = e0 | all_0_67_67 = e0 | all_0_71_71 = e0 % 19.34/5.09 | (146) op(e4, all_0_60_60) = all_0_29_29 % 19.34/5.09 | (147) all_0_59_59 = e2 | all_0_63_63 = e2 | all_0_71_71 = e2 % 19.34/5.09 | (148) ~ (all_0_71_71 = e0) | all_0_56_56 = e1 | all_0_61_61 = e1 | all_0_66_66 = e1 | (all_0_57_57 = e1 & ~ (all_0_59_59 = e3)) | (all_0_58_58 = e1 & ~ (all_0_59_59 = e2)) | (all_0_60_60 = e1 & ~ (all_0_63_63 = e4)) | (all_0_62_62 = e1 & ~ (all_0_63_63 = e2)) | (all_0_64_64 = e1 & ~ (all_0_67_67 = e4)) | (all_0_65_65 = e1 & ~ (all_0_67_67 = e3)) % 19.34/5.09 | (149) all_0_61_61 = e4 | all_0_65_65 = e4 | all_0_69_69 = e4 % 19.34/5.09 | (150) ~ (all_0_13_13 = e3) | all_0_12_12 = e1 | all_0_63_63 = all_0_69_69 % 19.34/5.09 | (151) ~ (all_0_61_61 = e0) | all_0_56_56 = e3 | all_0_66_66 = e3 | all_0_71_71 = e3 | (all_0_58_58 = e3 & ~ (all_0_57_57 = e2)) | (all_0_59_59 = e3 & ~ (all_0_57_57 = e1)) | (all_0_64_64 = e3 & ~ (all_0_65_65 = e4)) | (all_0_67_67 = e3 & ~ (all_0_65_65 = e1)) | (all_0_68_68 = e3 & ~ (all_0_69_69 = e4)) | (all_0_70_70 = e3 & ~ (all_0_69_69 = e2)) % 19.34/5.09 | (152) op(e4, all_0_64_64) = all_0_31_31 % 19.34/5.09 | (153) all_0_56_56 = e2 | all_0_60_60 = e2 | all_0_68_68 = e2 % 19.34/5.09 | (154) ~ (all_0_56_56 = all_0_59_59) % 19.34/5.09 | (155) ~ (all_0_64_64 = all_0_68_68) % 19.34/5.09 | (156) ~ (all_0_69_69 = e1) % 19.34/5.10 | (157) all_0_69_69 = e4 | all_0_70_70 = e4 | all_0_71_71 = e4 % 19.34/5.10 | (158) ~ (all_0_15_15 = e2) | all_0_14_14 = e4 | all_0_58_58 = all_0_64_64 % 19.34/5.10 | (159) op(all_0_58_58, e4) = all_0_3_3 % 19.34/5.10 | (160) op(e4, e2) = all_0_58_58 % 19.34/5.10 | (161) ~ (all_0_11_11 = e3) | all_0_10_10 = e2 | all_0_62_62 = all_0_65_65 % 19.34/5.10 | (162) op(all_0_66_66, e2) = all_0_18_18 % 19.34/5.10 | (163) op(e1, all_0_69_69) = all_0_41_41 % 19.34/5.10 | (164) ~ (all_0_65_65 = all_0_67_67) % 19.34/5.10 | (165) op(all_0_61_61, e3) = all_0_9_9 % 19.34/5.10 | (166) all_0_64_64 = e1 | all_0_65_65 = e1 | all_0_66_66 = e1 % 19.34/5.10 | (167) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 19.34/5.10 | (168) ~ (all_0_60_60 = all_0_62_62) % 19.34/5.10 | (169) op(e3, all_0_61_61) = all_0_37_37 % 19.34/5.10 | (170) all_0_64_64 = e3 | all_0_66_66 = e3 | all_0_67_67 = e3 % 19.34/5.10 | (171) ~ (all_0_59_59 = e1) % 19.34/5.10 | (172) all_0_56_56 = e1 | all_0_60_60 = e1 | all_0_64_64 = e1 % 19.34/5.10 | (173) op(e2, all_0_67_67) = all_0_54_54 % 19.34/5.10 | (174) ~ (all_0_26_26 = e1) | all_0_25_25 = e2 | all_0_67_67 = all_0_70_70 % 19.34/5.10 | (175) op(all_0_60_60, e3) = all_0_7_7 % 19.34/5.10 | (176) ~ (all_0_61_61 = all_0_65_65) % 19.34/5.10 | (177) all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_59_59 = e2 % 19.34/5.10 | (178) op(all_0_65_65, e2) = all_0_16_16 % 19.34/5.10 | (179) op(all_0_64_64, e4) = all_0_15_15 % 19.34/5.10 | (180) ~ (all_0_58_58 = all_0_62_62) % 19.34/5.10 | (181) all_0_70_70 = e4 | all_0_70_70 = e3 | all_0_70_70 = e0 % 19.34/5.10 | (182) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 | all_0_59_59 = e0 % 19.34/5.10 | (183) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) | (( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3)) | (( ~ (all_0_42_42 = e4) | all_0_43_43 = e2) & ( ~ (all_0_44_44 = e3) | all_0_45_45 = e2) & ( ~ (all_0_47_47 = e1) | all_0_48_48 = e2)) | (( ~ (all_0_49_49 = e4) | all_0_50_50 = e1) & ( ~ (all_0_51_51 = e3) | all_0_52_52 = e1) & ( ~ (all_0_53_53 = e2) | all_0_54_54 = e1)) % 19.34/5.10 | (184) ~ (e2 = e1) % 19.34/5.10 | (185) op(e2, e1) = all_0_67_67 % 19.34/5.10 | (186) op(e1, all_0_71_71) = all_0_55_55 % 19.34/5.10 | (187) op(all_0_59_59, e4) = all_0_5_5 % 19.34/5.10 | (188) op(all_0_65_65, e3) = all_0_17_17 % 19.34/5.10 | (189) ~ (all_0_61_61 = all_0_62_62) % 19.34/5.10 | (190) op(e4, all_0_68_68) = all_0_33_33 % 19.34/5.10 | (191) ~ (all_0_64_64 = all_0_65_65) % 19.34/5.10 | (192) op(e2, all_0_58_58) = all_0_42_42 % 19.34/5.10 | (193) ~ (e4 = e1) % 19.34/5.10 | (194) ~ (all_0_68_68 = all_0_69_69) % 19.34/5.10 | (195) op(e2, e4) = all_0_64_64 % 19.34/5.10 | (196) ~ (all_0_64_64 = all_0_67_67) % 19.34/5.10 | (197) op(e4, e3) = all_0_57_57 % 19.34/5.10 | (198) ~ (all_0_64_64 = e2) % 19.34/5.10 | (199) ~ (all_0_20_20 = e2) | all_0_19_19 = e1 | all_0_67_67 = all_0_70_70 % 19.34/5.10 | (200) ~ (all_0_71_71 = e1) % 19.34/5.10 | (201) all_0_57_57 = e2 | all_0_57_57 = e1 | all_0_57_57 = e0 % 19.34/5.10 | (202) ~ (all_0_59_59 = e4) % 19.34/5.10 | (203) op(e4, all_0_56_56) = all_0_28_28 % 19.34/5.10 | (204) ~ (e1 = e0) % 19.34/5.10 | (205) ~ (all_0_68_68 = all_0_70_70) % 19.34/5.10 | (206) all_0_56_56 = e0 | all_0_60_60 = e0 | all_0_64_64 = e0 | all_0_68_68 = e0 % 19.34/5.10 | (207) all_0_59_59 = e3 | all_0_67_67 = e3 | all_0_71_71 = e3 % 19.34/5.10 | (208) ~ (all_0_62_62 = all_0_70_70) % 19.34/5.10 | (209) all_0_56_56 = e3 | all_0_58_58 = e3 | all_0_59_59 = e3 % 19.34/5.10 | (210) all_0_58_58 = e1 | all_0_62_62 = e1 | all_0_66_66 = e1 % 19.34/5.10 | (211) unit = e0 % 19.34/5.11 | (212) ~ (all_0_22_22 = e1) | all_0_21_21 = e4 | all_0_59_59 = all_0_68_68 % 19.34/5.11 | (213) all_0_60_60 = e0 | all_0_61_61 = e0 | all_0_62_62 = e0 | all_0_63_63 = e0 % 19.34/5.11 | (214) ~ (all_0_58_58 = e4) % 19.34/5.11 | (215) op(e0, e4) = e4 % 19.34/5.11 | (216) ~ (all_0_58_58 = all_0_66_66) % 19.34/5.11 | (217) ~ (all_0_62_62 = e2) % 19.34/5.11 | (218) ~ (all_0_60_60 = all_0_64_64) % 19.34/5.11 | (219) op(e1, all_0_59_59) = all_0_49_49 % 19.34/5.11 | (220) ~ (all_0_63_63 = e3) % 19.34/5.11 | (221) ~ (all_0_69_69 = all_0_70_70) % 19.34/5.11 | (222) op(all_0_62_62, e2) = all_0_11_11 % 19.34/5.11 | (223) op(e1, all_0_68_68) = all_0_34_34 % 19.34/5.11 | (224) ~ (all_0_58_58 = all_0_70_70) % 19.34/5.11 | (225) op(e0, e3) = e3 % 19.34/5.11 | (226) ~ (all_0_63_63 = all_0_71_71) % 19.34/5.11 | (227) all_0_65_65 = e4 | all_0_65_65 = e1 | all_0_65_65 = e0 % 19.34/5.11 | (228) all_0_60_60 = e2 | all_0_61_61 = e2 | all_0_63_63 = e2 % 19.34/5.11 | (229) ~ (all_0_58_58 = all_0_59_59) % 19.34/5.11 | (230) all_0_57_57 = e1 | all_0_61_61 = e1 | all_0_65_65 = e1 % 19.34/5.11 | (231) op(e2, all_0_65_65) = all_0_39_39 % 19.58/5.11 | (232) ~ (all_0_66_66 = e2) % 19.58/5.11 | (233) ~ (all_0_57_57 = all_0_59_59) % 19.58/5.11 | (234) op(all_0_64_64, e2) = all_0_14_14 % 19.58/5.11 | (235) op(e3, all_0_63_63) = all_0_52_52 % 19.58/5.11 | (236) op(e4, all_0_59_59) = all_0_50_50 % 19.58/5.11 | (237) op(e3, e0) = e3 % 19.58/5.11 | (238) ~ (all_0_69_69 = e3) % 19.58/5.11 | (239) all_0_68_68 = e3 | all_0_68_68 = e2 | all_0_68_68 = e0 % 19.58/5.11 | (240) op(all_0_68_68, e4) = all_0_22_22 % 19.58/5.11 | (241) op(e1, all_0_70_70) = all_0_48_48 % 19.58/5.11 | (242) op(e3, e4) = all_0_60_60 % 19.58/5.11 | (243) op(all_0_57_57, e4) = all_0_1_1 % 19.58/5.11 | % 19.58/5.11 +-Applying beta-rule and splitting (40), into two cases. % 19.58/5.11 |-Branch one: % 19.58/5.11 | (244) ~ (all_0_61_61 = e2) % 19.58/5.11 | % 19.58/5.11 +-Applying beta-rule and splitting (56), into two cases. % 19.58/5.11 |-Branch one: % 19.58/5.11 | (245) ~ (all_0_56_56 = e1) % 19.58/5.11 | % 19.58/5.11 +-Applying beta-rule and splitting (132), into two cases. % 19.58/5.11 |-Branch one: % 19.58/5.11 | (246) ~ (all_0_61_61 = e1) % 19.58/5.11 | % 19.58/5.11 +-Applying beta-rule and splitting (127), into two cases. % 19.58/5.11 |-Branch one: % 19.58/5.11 | (247) ~ (all_0_56_56 = e2) % 19.58/5.11 | % 19.58/5.11 +-Applying beta-rule and splitting (80), into two cases. % 19.58/5.11 |-Branch one: % 19.58/5.11 | (248) ~ (all_0_66_66 = e1) % 19.58/5.11 | % 19.58/5.11 +-Applying beta-rule and splitting (8), into two cases. % 19.58/5.11 |-Branch one: % 19.58/5.11 | (249) ~ (all_0_56_56 = e3) % 19.58/5.11 | % 19.58/5.11 +-Applying beta-rule and splitting (131), into two cases. % 19.58/5.11 |-Branch one: % 19.58/5.11 | (250) all_0_56_56 = e3 % 19.58/5.11 | % 19.58/5.11 | Equations (250) can reduce 249 to: % 19.58/5.11 | (251) $false % 19.58/5.11 | % 19.58/5.11 |-The branch is then unsatisfiable % 19.58/5.11 |-Branch two: % 19.58/5.11 | (249) ~ (all_0_56_56 = e3) % 19.58/5.11 | (253) all_0_56_56 = e2 | all_0_56_56 = e1 | all_0_56_56 = e0 % 19.58/5.11 | % 19.58/5.12 +-Applying beta-rule and splitting (253), into two cases. % 19.58/5.12 |-Branch one: % 19.58/5.12 | (254) all_0_56_56 = e2 % 19.58/5.12 | % 19.58/5.12 | Equations (254) can reduce 247 to: % 19.58/5.12 | (251) $false % 19.58/5.12 | % 19.58/5.12 |-The branch is then unsatisfiable % 19.58/5.12 |-Branch two: % 19.58/5.12 | (247) ~ (all_0_56_56 = e2) % 19.58/5.12 | (257) all_0_56_56 = e1 | all_0_56_56 = e0 % 19.58/5.12 | % 19.58/5.12 +-Applying beta-rule and splitting (257), into two cases. % 19.58/5.12 |-Branch one: % 19.58/5.12 | (258) all_0_56_56 = e1 % 19.58/5.12 | % 19.58/5.12 | Equations (258) can reduce 245 to: % 19.58/5.12 | (251) $false % 19.58/5.12 | % 19.58/5.12 |-The branch is then unsatisfiable % 19.58/5.12 |-Branch two: % 19.58/5.12 | (245) ~ (all_0_56_56 = e1) % 19.58/5.12 | (261) all_0_56_56 = e0 % 19.58/5.12 | % 19.58/5.12 | Equations (261) can reduce 43 to: % 19.58/5.12 | (262) ~ (all_0_58_58 = e0) % 19.58/5.12 | % 19.58/5.12 | Simplifying 262 yields: % 19.58/5.12 | (263) ~ (all_0_58_58 = e0) % 19.58/5.12 | % 19.58/5.12 | Equations (261) can reduce 154 to: % 19.58/5.12 | (264) ~ (all_0_59_59 = e0) % 19.58/5.12 | % 19.58/5.12 | Simplifying 264 yields: % 19.58/5.12 | (265) ~ (all_0_59_59 = e0) % 19.58/5.12 | % 19.58/5.12 | Equations (261) can reduce 114 to: % 19.58/5.12 | (266) ~ (all_0_60_60 = e0) % 19.58/5.12 | % 19.58/5.12 | Simplifying 266 yields: % 19.58/5.12 | (267) ~ (all_0_60_60 = e0) % 19.58/5.12 | % 19.58/5.12 | Equations (261) can reduce 122 to: % 19.58/5.12 | (268) ~ (all_0_64_64 = e0) % 19.58/5.12 | % 19.58/5.12 | Simplifying 268 yields: % 19.58/5.12 | (269) ~ (all_0_64_64 = e0) % 19.58/5.12 | % 19.58/5.12 | Equations (261) can reduce 51 to: % 19.58/5.12 | (270) ~ (all_0_68_68 = e0) % 19.58/5.12 | % 19.58/5.12 | Simplifying 270 yields: % 19.58/5.12 | (271) ~ (all_0_68_68 = e0) % 19.58/5.12 | % 19.58/5.12 | Equations (261) can reduce 249 to: % 19.58/5.12 | (272) ~ (e3 = e0) % 19.58/5.12 | % 19.58/5.12 | Simplifying 272 yields: % 19.58/5.12 | (36) ~ (e3 = e0) % 19.58/5.12 | % 19.58/5.12 | Equations (261) can reduce 247 to: % 19.58/5.12 | (274) ~ (e2 = e0) % 19.58/5.12 | % 19.58/5.12 | Simplifying 274 yields: % 19.58/5.12 | (48) ~ (e2 = e0) % 19.58/5.12 | % 19.58/5.12 | Equations (261) can reduce 245 to: % 19.58/5.12 | (276) ~ (e1 = e0) % 19.58/5.12 | % 19.58/5.12 | Simplifying 276 yields: % 19.58/5.12 | (204) ~ (e1 = e0) % 19.58/5.12 | % 19.58/5.12 +-Applying beta-rule and splitting (68), into two cases. % 19.58/5.12 |-Branch one: % 19.58/5.12 | (278) all_0_60_60 = e2 % 19.58/5.12 | % 19.58/5.12 | Equations (278) can reduce 39 to: % 19.58/5.12 | (279) ~ (all_0_61_61 = e2) % 19.58/5.12 | % 19.58/5.12 | Simplifying 279 yields: % 19.58/5.12 | (244) ~ (all_0_61_61 = e2) % 19.58/5.12 | % 19.58/5.12 | Equations (278) can reduce 168 to: % 19.58/5.12 | (281) ~ (all_0_62_62 = e2) % 19.58/5.12 | % 19.58/5.12 | Simplifying 281 yields: % 19.58/5.12 | (217) ~ (all_0_62_62 = e2) % 19.58/5.12 | % 19.58/5.12 | Equations (278) can reduce 267 to: % 19.58/5.12 | (48) ~ (e2 = e0) % 19.58/5.12 | % 19.58/5.12 | From (278) and (175) follows: % 19.58/5.12 | (284) op(e2, e3) = all_0_7_7 % 19.58/5.12 | % 19.58/5.12 | From (278) and (64) follows: % 19.58/5.12 | (285) op(e3, e2) = all_0_30_30 % 19.58/5.12 | % 19.58/5.12 +-Applying beta-rule and splitting (172), into two cases. % 19.58/5.12 |-Branch one: % 19.58/5.12 | (258) all_0_56_56 = e1 % 19.58/5.12 | % 19.58/5.12 | Combining equations (258,261) yields a new equation: % 19.58/5.12 | (287) e1 = e0 % 19.58/5.12 | % 19.58/5.12 | Simplifying 287 yields: % 19.58/5.12 | (288) e1 = e0 % 19.58/5.12 | % 19.58/5.12 | Equations (288) can reduce 204 to: % 19.58/5.12 | (251) $false % 19.58/5.12 | % 19.58/5.12 |-The branch is then unsatisfiable % 19.58/5.12 |-Branch two: % 19.58/5.12 | (245) ~ (all_0_56_56 = e1) % 19.58/5.12 | (291) all_0_60_60 = e1 | all_0_64_64 = e1 % 19.58/5.12 | % 19.58/5.12 +-Applying beta-rule and splitting (239), into two cases. % 19.58/5.12 |-Branch one: % 19.58/5.12 | (292) all_0_68_68 = e3 % 19.58/5.12 | % 19.58/5.12 | Equations (292) can reduce 155 to: % 19.58/5.12 | (293) ~ (all_0_64_64 = e3) % 19.58/5.12 | % 19.58/5.12 | Equations (292) can reduce 194 to: % 19.58/5.12 | (294) ~ (all_0_69_69 = e3) % 19.58/5.12 | % 19.58/5.12 | Simplifying 294 yields: % 19.58/5.12 | (238) ~ (all_0_69_69 = e3) % 19.58/5.12 | % 19.58/5.12 | Equations (292) can reduce 24 to: % 19.58/5.12 | (296) ~ (all_0_71_71 = e3) % 19.58/5.12 | % 19.58/5.12 | Simplifying 296 yields: % 19.58/5.12 | (297) ~ (all_0_71_71 = e3) % 19.58/5.12 | % 19.58/5.12 | Equations (292) can reduce 271 to: % 19.58/5.12 | (36) ~ (e3 = e0) % 19.58/5.12 | % 19.58/5.12 | From (292) and (113) follows: % 19.58/5.12 | (299) op(e3, e1) = all_0_21_21 % 19.58/5.12 | % 19.58/5.12 | From (292) and (190) follows: % 19.58/5.12 | (300) op(e4, e3) = all_0_33_33 % 19.58/5.12 | % 19.58/5.12 | From (292) and (223) follows: % 19.58/5.12 | (301) op(e1, e3) = all_0_34_34 % 19.58/5.12 | % 19.58/5.12 +-Applying beta-rule and splitting (45), into two cases. % 19.58/5.12 |-Branch one: % 19.58/5.12 | (302) all_0_64_64 = e3 % 19.58/5.12 | % 19.58/5.13 | Equations (302) can reduce 293 to: % 19.58/5.13 | (251) $false % 19.58/5.13 | % 19.58/5.13 |-The branch is then unsatisfiable % 19.58/5.13 |-Branch two: % 19.58/5.13 | (293) ~ (all_0_64_64 = e3) % 19.58/5.13 | (305) all_0_64_64 = e1 | all_0_64_64 = e0 % 19.58/5.13 | % 19.58/5.13 +-Applying beta-rule and splitting (305), into two cases. % 19.58/5.13 |-Branch one: % 19.58/5.13 | (306) all_0_64_64 = e1 % 19.58/5.13 | % 19.58/5.13 | Equations (306) can reduce 191 to: % 19.58/5.13 | (307) ~ (all_0_65_65 = e1) % 19.58/5.13 | % 19.58/5.13 | Simplifying 307 yields: % 19.58/5.13 | (308) ~ (all_0_65_65 = e1) % 19.58/5.13 | % 19.58/5.13 | Equations (306) can reduce 100 to: % 19.58/5.13 | (309) ~ (all_0_66_66 = e1) % 19.58/5.13 | % 19.58/5.13 | Simplifying 309 yields: % 19.58/5.13 | (248) ~ (all_0_66_66 = e1) % 19.58/5.13 | % 19.58/5.13 | From (306) and (234) follows: % 19.58/5.13 | (311) op(e1, e2) = all_0_14_14 % 19.58/5.13 | % 19.58/5.13 | From (306) and (133) follows: % 19.58/5.13 | (312) op(e2, e1) = all_0_32_32 % 19.58/5.13 | % 19.58/5.13 +-Applying beta-rule and splitting (230), into two cases. % 19.58/5.13 |-Branch one: % 19.58/5.13 | (313) all_0_57_57 = e1 % 19.58/5.13 | % 19.58/5.13 | Equations (313) can reduce 71 to: % 19.58/5.13 | (314) ~ (all_0_58_58 = e1) % 19.58/5.13 | % 19.58/5.13 | Simplifying 314 yields: % 19.58/5.13 | (315) ~ (all_0_58_58 = e1) % 19.58/5.13 | % 19.58/5.13 | Equations (313) can reduce 91 to: % 19.58/5.13 | (307) ~ (all_0_65_65 = e1) % 19.58/5.13 | % 19.58/5.13 | Simplifying 307 yields: % 19.58/5.13 | (308) ~ (all_0_65_65 = e1) % 19.58/5.13 | % 19.58/5.13 | Equations (313) can reduce 18 to: % 19.58/5.13 | (318) ~ (all_0_69_69 = e1) % 19.58/5.13 | % 19.58/5.13 | Simplifying 318 yields: % 19.58/5.13 | (156) ~ (all_0_69_69 = e1) % 19.58/5.13 | % 19.58/5.13 | From (313) and (134) follows: % 19.58/5.13 | (320) op(e1, e3) = all_0_2_2 % 19.58/5.13 | % 19.58/5.13 | From (313) and (197) follows: % 19.58/5.13 | (321) op(e4, e3) = e1 % 19.58/5.13 | % 19.58/5.13 | From (313) and (67) follows: % 19.58/5.13 | (322) op(e3, e1) = all_0_35_35 % 19.58/5.13 | % 19.58/5.13 +-Applying beta-rule and splitting (210), into two cases. % 19.58/5.13 |-Branch one: % 19.58/5.13 | (323) all_0_58_58 = e1 % 19.58/5.13 | % 19.58/5.13 | Equations (323) can reduce 315 to: % 19.58/5.13 | (251) $false % 19.58/5.13 | % 19.58/5.13 |-The branch is then unsatisfiable % 19.58/5.13 |-Branch two: % 19.58/5.13 | (315) ~ (all_0_58_58 = e1) % 19.58/5.13 | (326) all_0_62_62 = e1 | all_0_66_66 = e1 % 19.58/5.13 | % 19.58/5.13 +-Applying beta-rule and splitting (326), into two cases. % 19.58/5.13 |-Branch one: % 19.58/5.13 | (327) all_0_62_62 = e1 % 19.58/5.13 | % 19.58/5.13 | Equations (327) can reduce 217 to: % 19.58/5.13 | (328) ~ (e2 = e1) % 19.58/5.13 | % 19.58/5.13 | Simplifying 328 yields: % 19.58/5.13 | (184) ~ (e2 = e1) % 19.58/5.13 | % 19.58/5.13 | From (327) and (72) follows: % 19.58/5.13 | (330) op(e1, e3) = all_0_10_10 % 19.58/5.13 | % 19.58/5.13 | From (327) and (222) follows: % 19.58/5.13 | (331) op(e1, e2) = all_0_11_11 % 19.58/5.13 | % 19.58/5.13 | From (327) and (97) follows: % 19.58/5.13 | (332) op(e3, e1) = all_0_45_45 % 19.58/5.13 | % 19.58/5.13 | From (327) and (84) follows: % 19.58/5.13 | (333) op(e3, e2) = e1 % 19.58/5.13 | % 19.58/5.13 | From (327) and (11) follows: % 19.58/5.13 | (334) op(e2, e1) = all_0_44_44 % 19.58/5.13 | % 19.58/5.13 +-Applying beta-rule and splitting (60), into two cases. % 19.58/5.13 |-Branch one: % 19.58/5.13 | (335) all_0_57_57 = e2 % 19.58/5.13 | % 19.58/5.13 | Combining equations (335,313) yields a new equation: % 19.58/5.13 | (336) e2 = e1 % 19.58/5.13 | % 19.58/5.13 | Simplifying 336 yields: % 19.58/5.13 | (337) e2 = e1 % 19.58/5.13 | % 19.58/5.13 | Equations (337) can reduce 184 to: % 19.58/5.13 | (251) $false % 19.58/5.13 | % 19.58/5.13 |-The branch is then unsatisfiable % 19.58/5.13 |-Branch two: % 19.58/5.13 | (339) ~ (all_0_57_57 = e2) % 19.58/5.13 | (340) all_0_61_61 = e2 | all_0_69_69 = e2 % 19.58/5.13 | % 19.58/5.13 +-Applying beta-rule and splitting (340), into two cases. % 19.58/5.13 |-Branch one: % 19.58/5.13 | (341) all_0_61_61 = e2 % 19.58/5.13 | % 19.58/5.13 | Equations (341) can reduce 244 to: % 19.58/5.13 | (251) $false % 19.58/5.13 | % 19.58/5.13 |-The branch is then unsatisfiable % 19.58/5.13 |-Branch two: % 19.58/5.13 | (244) ~ (all_0_61_61 = e2) % 19.58/5.13 | (344) all_0_69_69 = e2 % 19.58/5.13 | % 19.58/5.13 | Equations (344) can reduce 238 to: % 19.58/5.13 | (345) ~ (e3 = e2) % 19.58/5.13 | % 19.58/5.13 | Simplifying 345 yields: % 19.58/5.13 | (128) ~ (e3 = e2) % 19.58/5.13 | % 19.58/5.13 | Equations (344) can reduce 156 to: % 19.58/5.13 | (184) ~ (e2 = e1) % 19.58/5.13 | % 19.58/5.13 | From (344) and (69) follows: % 19.58/5.13 | (348) op(e2, e3) = all_0_24_24 % 19.58/5.13 | % 19.58/5.13 | From (344) and (79) follows: % 19.58/5.13 | (349) op(e2, e1) = all_0_23_23 % 19.58/5.13 | % 19.58/5.13 | From (344) and (105) follows: % 19.58/5.13 | (350) op(e3, e2) = all_0_40_40 % 19.58/5.13 | % 19.58/5.13 | From (344) and (163) follows: % 19.58/5.13 | (351) op(e1, e2) = all_0_41_41 % 19.58/5.13 | % 19.58/5.13 | From (344) and (9) follows: % 19.58/5.13 | (352) op(e1, e3) = e2 % 19.58/5.13 | % 19.58/5.13 +-Applying beta-rule and splitting (177), into two cases. % 19.58/5.13 |-Branch one: % 19.58/5.13 | (254) all_0_56_56 = e2 % 19.58/5.13 | % 19.58/5.13 | Combining equations (254,261) yields a new equation: % 19.58/5.13 | (354) e2 = e0 % 19.58/5.13 | % 19.58/5.13 | Simplifying 354 yields: % 19.58/5.13 | (355) e2 = e0 % 19.58/5.13 | % 19.58/5.13 | Equations (355) can reduce 48 to: % 19.58/5.13 | (251) $false % 19.58/5.13 | % 19.58/5.13 |-The branch is then unsatisfiable % 19.58/5.13 |-Branch two: % 19.58/5.13 | (247) ~ (all_0_56_56 = e2) % 19.58/5.13 | (358) all_0_57_57 = e2 | all_0_59_59 = e2 % 19.58/5.13 | % 19.58/5.13 +-Applying beta-rule and splitting (358), into two cases. % 19.58/5.13 |-Branch one: % 19.58/5.13 | (335) all_0_57_57 = e2 % 19.58/5.13 | % 19.58/5.13 | Combining equations (335,313) yields a new equation: % 19.58/5.13 | (336) e2 = e1 % 19.58/5.13 | % 19.58/5.13 | Simplifying 336 yields: % 19.58/5.13 | (337) e2 = e1 % 19.58/5.13 | % 19.58/5.13 | Equations (337) can reduce 184 to: % 19.58/5.13 | (251) $false % 19.58/5.13 | % 19.58/5.13 |-The branch is then unsatisfiable % 19.58/5.13 |-Branch two: % 19.58/5.13 | (339) ~ (all_0_57_57 = e2) % 19.58/5.13 | (364) all_0_59_59 = e2 % 19.58/5.13 | % 19.58/5.13 | Equations (364) can reduce 96 to: % 19.58/5.13 | (365) ~ (all_0_63_63 = e2) % 19.58/5.13 | % 19.58/5.13 | Simplifying 365 yields: % 19.58/5.13 | (366) ~ (all_0_63_63 = e2) % 19.58/5.13 | % 19.58/5.13 | Equations (364) can reduce 22 to: % 19.58/5.13 | (367) ~ (all_0_67_67 = e2) % 19.58/5.13 | % 19.58/5.13 | Simplifying 367 yields: % 19.58/5.13 | (139) ~ (all_0_67_67 = e2) % 19.58/5.13 | % 19.58/5.13 | Equations (364) can reduce 28 to: % 19.58/5.13 | (369) ~ (all_0_71_71 = e2) % 19.58/5.13 | % 19.58/5.13 | Simplifying 369 yields: % 19.58/5.13 | (370) ~ (all_0_71_71 = e2) % 19.58/5.13 | % 19.58/5.13 | Equations (364) can reduce 202 to: % 19.58/5.13 | (371) ~ (e4 = e2) % 19.58/5.13 | % 19.58/5.13 | Simplifying 371 yields: % 19.58/5.13 | (49) ~ (e4 = e2) % 19.58/5.13 | % 19.58/5.13 | From (364) and (123) follows: % 19.58/5.13 | (373) op(e2, e1) = all_0_6_6 % 19.58/5.13 | % 19.58/5.13 | From (364) and (219) follows: % 19.58/5.13 | (374) op(e1, e2) = all_0_49_49 % 19.58/5.13 | % 19.58/5.13 +-Applying beta-rule and splitting (207), into two cases. % 19.58/5.13 |-Branch one: % 19.58/5.13 | (375) all_0_59_59 = e3 % 19.58/5.13 | % 19.58/5.13 | Combining equations (364,375) yields a new equation: % 19.58/5.13 | (376) e3 = e2 % 19.58/5.13 | % 19.58/5.13 | Equations (376) can reduce 128 to: % 19.58/5.13 | (251) $false % 19.58/5.13 | % 19.58/5.13 |-The branch is then unsatisfiable % 19.58/5.13 |-Branch two: % 19.58/5.13 | (378) ~ (all_0_59_59 = e3) % 19.58/5.13 | (379) all_0_67_67 = e3 | all_0_71_71 = e3 % 19.58/5.13 | % 19.58/5.13 +-Applying beta-rule and splitting (379), into two cases. % 19.58/5.13 |-Branch one: % 19.58/5.13 | (380) all_0_67_67 = e3 % 19.58/5.13 | % 19.58/5.13 | Equations (380) can reduce 26 to: % 19.58/5.13 | (296) ~ (all_0_71_71 = e3) % 19.58/5.13 | % 19.58/5.13 | Simplifying 296 yields: % 19.58/5.13 | (297) ~ (all_0_71_71 = e3) % 19.58/5.13 | % 19.58/5.13 | Equations (380) can reduce 139 to: % 19.58/5.13 | (128) ~ (e3 = e2) % 19.58/5.13 | % 19.58/5.13 | From (380) and (143) follows: % 19.58/5.13 | (384) op(e3, e2) = all_0_19_19 % 19.58/5.13 | % 19.58/5.13 | From (380) and (52) follows: % 19.58/5.13 | (385) op(e3, e1) = all_0_20_20 % 19.58/5.13 | % 19.58/5.13 | From (380) and (173) follows: % 19.58/5.14 | (386) op(e2, e3) = all_0_54_54 % 19.58/5.14 | % 19.58/5.14 | From (380) and (185) follows: % 19.58/5.14 | (387) op(e2, e1) = e3 % 19.58/5.14 | % 19.58/5.14 | From (380) and (16) follows: % 19.58/5.14 | (388) op(e1, e3) = all_0_53_53 % 19.58/5.14 | % 19.58/5.14 +-Applying beta-rule and splitting (209), into two cases. % 19.58/5.14 |-Branch one: % 19.58/5.14 | (250) all_0_56_56 = e3 % 19.58/5.14 | % 19.58/5.14 | Combining equations (250,261) yields a new equation: % 19.58/5.14 | (390) e3 = e0 % 19.58/5.14 | % 19.58/5.14 | Simplifying 390 yields: % 19.58/5.14 | (391) e3 = e0 % 19.58/5.14 | % 19.58/5.14 | Equations (391) can reduce 36 to: % 19.58/5.14 | (251) $false % 19.58/5.14 | % 19.58/5.14 |-The branch is then unsatisfiable % 19.58/5.14 |-Branch two: % 19.58/5.14 | (249) ~ (all_0_56_56 = e3) % 19.58/5.14 | (394) all_0_58_58 = e3 | all_0_59_59 = e3 % 19.58/5.14 | % 19.58/5.14 +-Applying beta-rule and splitting (167), into two cases. % 19.58/5.14 |-Branch one: % 19.58/5.14 | (395) all_0_58_58 = e3 % 19.58/5.14 | % 19.58/5.14 | Equations (395) can reduce 224 to: % 19.58/5.14 | (396) ~ (all_0_70_70 = e3) % 19.58/5.14 | % 19.58/5.14 | Simplifying 396 yields: % 19.58/5.14 | (397) ~ (all_0_70_70 = e3) % 19.58/5.14 | % 19.58/5.14 | From (395) and (31) follows: % 19.58/5.14 | (398) op(e3, e2) = all_0_4_4 % 19.58/5.14 | % 19.58/5.14 | From (395) and (192) follows: % 19.58/5.14 | (399) op(e2, e3) = all_0_42_42 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e4, e3, e1, all_0_33_33 and discharging atoms op(e4, e3) = all_0_33_33, op(e4, e3) = e1, yields: % 19.58/5.14 | (400) all_0_33_33 = e1 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e3, e2, all_0_19_19, all_0_4_4 and discharging atoms op(e3, e2) = all_0_4_4, op(e3, e2) = all_0_19_19, yields: % 19.58/5.14 | (401) all_0_4_4 = all_0_19_19 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e3, e2, all_0_30_30, all_0_4_4 and discharging atoms op(e3, e2) = all_0_4_4, op(e3, e2) = all_0_30_30, yields: % 19.58/5.14 | (402) all_0_4_4 = all_0_30_30 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e3, e2, all_0_40_40, all_0_4_4 and discharging atoms op(e3, e2) = all_0_4_4, op(e3, e2) = all_0_40_40, yields: % 19.58/5.14 | (403) all_0_4_4 = all_0_40_40 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e3, e2, e1, all_0_19_19 and discharging atoms op(e3, e2) = all_0_19_19, op(e3, e2) = e1, yields: % 19.58/5.14 | (404) all_0_19_19 = e1 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e3, e1, all_0_21_21, all_0_63_63 and discharging atoms op(e3, e1) = all_0_21_21, op(e3, e1) = all_0_63_63, yields: % 19.58/5.14 | (405) all_0_21_21 = all_0_63_63 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e3, e1, all_0_21_21, all_0_20_20 and discharging atoms op(e3, e1) = all_0_20_20, op(e3, e1) = all_0_21_21, yields: % 19.58/5.14 | (406) all_0_20_20 = all_0_21_21 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e3, e1, all_0_35_35, all_0_20_20 and discharging atoms op(e3, e1) = all_0_20_20, op(e3, e1) = all_0_35_35, yields: % 19.58/5.14 | (407) all_0_20_20 = all_0_35_35 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e3, e1, all_0_45_45, all_0_21_21 and discharging atoms op(e3, e1) = all_0_21_21, op(e3, e1) = all_0_45_45, yields: % 19.58/5.14 | (408) all_0_21_21 = all_0_45_45 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e2, e3, all_0_7_7, all_0_65_65 and discharging atoms op(e2, e3) = all_0_7_7, op(e2, e3) = all_0_65_65, yields: % 19.58/5.14 | (409) all_0_7_7 = all_0_65_65 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e2, e3, all_0_42_42, all_0_7_7 and discharging atoms op(e2, e3) = all_0_7_7, op(e2, e3) = all_0_42_42, yields: % 19.58/5.14 | (410) all_0_7_7 = all_0_42_42 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e2, e3, all_0_42_42, all_0_24_24 and discharging atoms op(e2, e3) = all_0_24_24, op(e2, e3) = all_0_42_42, yields: % 19.58/5.14 | (411) all_0_24_24 = all_0_42_42 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e2, e3, all_0_54_54, all_0_24_24 and discharging atoms op(e2, e3) = all_0_24_24, op(e2, e3) = all_0_54_54, yields: % 19.58/5.14 | (412) all_0_24_24 = all_0_54_54 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e2, e1, all_0_23_23, all_0_6_6 and discharging atoms op(e2, e1) = all_0_6_6, op(e2, e1) = all_0_23_23, yields: % 19.58/5.14 | (413) all_0_6_6 = all_0_23_23 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e2, e1, all_0_32_32, all_0_6_6 and discharging atoms op(e2, e1) = all_0_6_6, op(e2, e1) = all_0_32_32, yields: % 19.58/5.14 | (414) all_0_6_6 = all_0_32_32 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e2, e1, all_0_44_44, all_0_32_32 and discharging atoms op(e2, e1) = all_0_32_32, op(e2, e1) = all_0_44_44, yields: % 19.58/5.14 | (415) all_0_32_32 = all_0_44_44 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e2, e1, e3, all_0_6_6 and discharging atoms op(e2, e1) = all_0_6_6, op(e2, e1) = e3, yields: % 19.58/5.14 | (416) all_0_6_6 = e3 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e1, e3, all_0_10_10, all_0_2_2 and discharging atoms op(e1, e3) = all_0_2_2, op(e1, e3) = all_0_10_10, yields: % 19.58/5.14 | (417) all_0_2_2 = all_0_10_10 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e1, e3, all_0_34_34, all_0_2_2 and discharging atoms op(e1, e3) = all_0_2_2, op(e1, e3) = all_0_34_34, yields: % 19.58/5.14 | (418) all_0_2_2 = all_0_34_34 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e1, e3, all_0_53_53, all_0_10_10 and discharging atoms op(e1, e3) = all_0_10_10, op(e1, e3) = all_0_53_53, yields: % 19.58/5.14 | (419) all_0_10_10 = all_0_53_53 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e1, e3, e2, all_0_2_2 and discharging atoms op(e1, e3) = all_0_2_2, op(e1, e3) = e2, yields: % 19.58/5.14 | (420) all_0_2_2 = e2 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e1, e2, all_0_14_14, all_0_11_11 and discharging atoms op(e1, e2) = all_0_11_11, op(e1, e2) = all_0_14_14, yields: % 19.58/5.14 | (421) all_0_11_11 = all_0_14_14 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e1, e2, all_0_41_41, all_0_70_70 and discharging atoms op(e1, e2) = all_0_41_41, op(e1, e2) = all_0_70_70, yields: % 19.58/5.14 | (422) all_0_41_41 = all_0_70_70 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e1, e2, all_0_41_41, all_0_11_11 and discharging atoms op(e1, e2) = all_0_11_11, op(e1, e2) = all_0_41_41, yields: % 19.58/5.14 | (423) all_0_11_11 = all_0_41_41 % 19.58/5.14 | % 19.58/5.14 | Instantiating formula (61) with e1, e2, all_0_49_49, all_0_11_11 and discharging atoms op(e1, e2) = all_0_11_11, op(e1, e2) = all_0_49_49, yields: % 19.58/5.14 | (424) all_0_11_11 = all_0_49_49 % 19.58/5.14 | % 19.58/5.14 | Combining equations (417,418) yields a new equation: % 19.58/5.14 | (425) all_0_10_10 = all_0_34_34 % 19.58/5.14 | % 19.58/5.14 | Simplifying 425 yields: % 19.58/5.14 | (426) all_0_10_10 = all_0_34_34 % 19.58/5.14 | % 19.58/5.14 | Combining equations (420,418) yields a new equation: % 19.58/5.14 | (427) all_0_34_34 = e2 % 19.58/5.14 | % 19.58/5.14 | Combining equations (401,402) yields a new equation: % 19.58/5.14 | (428) all_0_19_19 = all_0_30_30 % 19.58/5.14 | % 19.58/5.14 | Simplifying 428 yields: % 19.58/5.14 | (429) all_0_19_19 = all_0_30_30 % 19.58/5.14 | % 19.58/5.14 | Combining equations (403,402) yields a new equation: % 19.58/5.14 | (430) all_0_30_30 = all_0_40_40 % 19.58/5.14 | % 19.58/5.14 | Combining equations (414,413) yields a new equation: % 19.58/5.14 | (431) all_0_23_23 = all_0_32_32 % 19.58/5.14 | % 19.58/5.14 | Combining equations (416,413) yields a new equation: % 19.58/5.14 | (432) all_0_23_23 = e3 % 19.58/5.14 | % 19.58/5.14 | Combining equations (410,409) yields a new equation: % 19.58/5.14 | (433) all_0_42_42 = all_0_65_65 % 19.58/5.14 | % 19.58/5.14 | Simplifying 433 yields: % 19.58/5.14 | (434) all_0_42_42 = all_0_65_65 % 19.58/5.14 | % 19.58/5.14 | Combining equations (426,419) yields a new equation: % 19.58/5.14 | (435) all_0_34_34 = all_0_53_53 % 19.58/5.14 | % 19.58/5.14 | Simplifying 435 yields: % 19.58/5.14 | (436) all_0_34_34 = all_0_53_53 % 19.58/5.14 | % 19.58/5.14 | Combining equations (424,421) yields a new equation: % 19.58/5.14 | (437) all_0_14_14 = all_0_49_49 % 19.58/5.14 | % 19.58/5.14 | Combining equations (423,421) yields a new equation: % 19.58/5.14 | (438) all_0_14_14 = all_0_41_41 % 19.58/5.14 | % 19.58/5.14 | Combining equations (438,437) yields a new equation: % 19.58/5.14 | (439) all_0_41_41 = all_0_49_49 % 19.58/5.14 | % 19.58/5.14 | Simplifying 439 yields: % 19.58/5.14 | (440) all_0_41_41 = all_0_49_49 % 19.58/5.14 | % 19.58/5.14 | Combining equations (429,404) yields a new equation: % 19.58/5.14 | (441) all_0_30_30 = e1 % 19.58/5.14 | % 19.58/5.14 | Simplifying 441 yields: % 19.58/5.14 | (442) all_0_30_30 = e1 % 19.58/5.14 | % 19.58/5.14 | Combining equations (406,407) yields a new equation: % 19.58/5.14 | (443) all_0_21_21 = all_0_35_35 % 19.58/5.14 | % 19.58/5.14 | Simplifying 443 yields: % 19.58/5.14 | (444) all_0_21_21 = all_0_35_35 % 19.58/5.14 | % 19.58/5.14 | Combining equations (405,444) yields a new equation: % 19.58/5.14 | (445) all_0_35_35 = all_0_63_63 % 19.58/5.14 | % 19.58/5.15 | Combining equations (408,444) yields a new equation: % 19.58/5.15 | (446) all_0_35_35 = all_0_45_45 % 19.58/5.15 | % 19.58/5.15 | Combining equations (431,432) yields a new equation: % 19.58/5.15 | (447) all_0_32_32 = e3 % 19.58/5.15 | % 19.58/5.15 | Simplifying 447 yields: % 19.58/5.15 | (448) all_0_32_32 = e3 % 19.58/5.15 | % 19.58/5.15 | Combining equations (411,412) yields a new equation: % 19.58/5.15 | (449) all_0_42_42 = all_0_54_54 % 19.58/5.15 | % 19.58/5.15 | Simplifying 449 yields: % 19.58/5.15 | (450) all_0_42_42 = all_0_54_54 % 19.58/5.15 | % 19.58/5.15 | Combining equations (430,442) yields a new equation: % 19.58/5.15 | (451) all_0_40_40 = e1 % 19.58/5.15 | % 19.58/5.15 | Simplifying 451 yields: % 19.58/5.15 | (452) all_0_40_40 = e1 % 19.58/5.15 | % 19.58/5.15 | Combining equations (415,448) yields a new equation: % 19.58/5.15 | (453) all_0_44_44 = e3 % 19.58/5.15 | % 19.58/5.15 | Simplifying 453 yields: % 19.58/5.15 | (454) all_0_44_44 = e3 % 19.58/5.15 | % 19.58/5.15 | Combining equations (436,427) yields a new equation: % 19.58/5.15 | (455) all_0_53_53 = e2 % 19.58/5.15 | % 19.58/5.15 | Simplifying 455 yields: % 19.58/5.15 | (456) all_0_53_53 = e2 % 19.58/5.15 | % 19.58/5.15 | Combining equations (446,445) yields a new equation: % 19.76/5.15 | (457) all_0_45_45 = all_0_63_63 % 19.76/5.15 | % 19.76/5.15 | Simplifying 457 yields: % 19.76/5.15 | (458) all_0_45_45 = all_0_63_63 % 19.76/5.15 | % 19.76/5.15 | Combining equations (422,440) yields a new equation: % 19.76/5.15 | (459) all_0_49_49 = all_0_70_70 % 19.76/5.15 | % 19.76/5.15 | Combining equations (434,450) yields a new equation: % 19.76/5.15 | (460) all_0_54_54 = all_0_65_65 % 19.76/5.15 | % 19.76/5.15 | Combining equations (459,440) yields a new equation: % 19.76/5.15 | (422) all_0_41_41 = all_0_70_70 % 19.76/5.15 | % 19.76/5.15 +-Applying beta-rule and splitting (183), into two cases. % 19.76/5.15 |-Branch one: % 19.76/5.15 | (462) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) | (( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3)) | (( ~ (all_0_42_42 = e4) | all_0_43_43 = e2) & ( ~ (all_0_44_44 = e3) | all_0_45_45 = e2) & ( ~ (all_0_47_47 = e1) | all_0_48_48 = e2)) % 19.76/5.15 | % 19.76/5.15 +-Applying beta-rule and splitting (462), into two cases. % 19.76/5.15 |-Branch one: % 19.76/5.15 | (463) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) | (( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3)) % 19.76/5.15 | % 19.76/5.15 +-Applying beta-rule and splitting (463), into two cases. % 19.76/5.15 |-Branch one: % 19.76/5.15 | (464) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) % 19.76/5.15 | % 19.76/5.15 +-Applying beta-rule and splitting (464), into two cases. % 19.76/5.15 |-Branch one: % 19.76/5.15 | (465) all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0 % 19.76/5.15 | % 19.76/5.15 | Applying alpha-rule on (465) yields: % 19.76/5.15 | (261) all_0_56_56 = e0 % 19.76/5.15 | (467) all_0_61_61 = e0 % 19.76/5.15 | (468) all_0_66_66 = e0 % 19.76/5.15 | (469) all_0_71_71 = e0 % 19.76/5.15 | % 19.76/5.15 | Equations (469) can reduce 226 to: % 19.76/5.15 | (470) ~ (all_0_63_63 = e0) % 19.76/5.15 | % 19.76/5.15 | Equations (469) can reduce 94 to: % 19.76/5.15 | (471) ~ (all_0_70_70 = e0) % 19.76/5.15 | % 19.76/5.15 | Equations (469) can reduce 297 to: % 19.76/5.15 | (272) ~ (e3 = e0) % 19.76/5.15 | % 19.76/5.15 | Simplifying 272 yields: % 19.76/5.15 | (36) ~ (e3 = e0) % 19.76/5.15 | % 19.76/5.15 | Equations (469) can reduce 370 to: % 19.76/5.15 | (274) ~ (e2 = e0) % 19.76/5.15 | % 19.76/5.15 | Simplifying 274 yields: % 19.76/5.15 | (48) ~ (e2 = e0) % 19.76/5.15 | % 19.76/5.15 | Equations (469) can reduce 200 to: % 19.76/5.15 | (276) ~ (e1 = e0) % 19.76/5.15 | % 19.76/5.15 | Simplifying 276 yields: % 19.76/5.15 | (204) ~ (e1 = e0) % 19.76/5.15 | % 19.76/5.15 +-Applying beta-rule and splitting (157), into two cases. % 19.76/5.15 |-Branch one: % 19.76/5.15 | (478) all_0_69_69 = e4 % 19.76/5.15 | % 19.76/5.15 | Combining equations (478,344) yields a new equation: % 19.76/5.15 | (479) e4 = e2 % 19.76/5.15 | % 19.76/5.15 | Simplifying 479 yields: % 19.76/5.15 | (480) e4 = e2 % 19.76/5.15 | % 19.76/5.15 | Equations (480) can reduce 49 to: % 19.76/5.15 | (251) $false % 19.76/5.15 | % 19.76/5.15 |-The branch is then unsatisfiable % 19.76/5.15 |-Branch two: % 19.76/5.15 | (482) ~ (all_0_69_69 = e4) % 19.76/5.15 | (483) all_0_70_70 = e4 | all_0_71_71 = e4 % 19.76/5.15 | % 19.76/5.15 +-Applying beta-rule and splitting (32), into two cases. % 19.76/5.15 |-Branch one: % 19.76/5.15 | (250) all_0_56_56 = e3 % 19.76/5.15 | % 19.76/5.15 | Combining equations (261,250) yields a new equation: % 19.76/5.15 | (391) e3 = e0 % 19.76/5.15 | % 19.76/5.15 | Equations (391) can reduce 36 to: % 19.76/5.15 | (251) $false % 19.76/5.15 | % 19.76/5.15 |-The branch is then unsatisfiable % 19.76/5.15 |-Branch two: % 19.76/5.15 | (249) ~ (all_0_56_56 = e3) % 19.76/5.15 | (488) all_0_56_56 = e2 | all_0_56_56 = e1 | all_0_61_61 = e4 | all_0_61_61 = e2 | all_0_61_61 = e1 | all_0_66_66 = e4 | all_0_66_66 = e3 | all_0_66_66 = e1 | all_0_71_71 = e4 | all_0_71_71 = e3 | all_0_71_71 = e2 % 19.76/5.15 | % 19.76/5.15 | Equations (261) can reduce 249 to: % 19.76/5.15 | (272) ~ (e3 = e0) % 19.76/5.15 | % 19.76/5.15 | Simplifying 272 yields: % 19.76/5.15 | (36) ~ (e3 = e0) % 19.76/5.15 | % 19.76/5.15 +-Applying beta-rule and splitting (488), into two cases. % 19.76/5.15 |-Branch one: % 19.76/5.15 | (254) all_0_56_56 = e2 % 19.76/5.15 | % 19.76/5.15 | Combining equations (261,254) yields a new equation: % 19.76/5.15 | (355) e2 = e0 % 19.76/5.15 | % 19.76/5.15 | Equations (355) can reduce 48 to: % 19.76/5.15 | (251) $false % 19.76/5.15 | % 19.76/5.15 |-The branch is then unsatisfiable % 19.76/5.15 |-Branch two: % 19.76/5.15 | (247) ~ (all_0_56_56 = e2) % 19.76/5.15 | (495) all_0_56_56 = e1 | all_0_61_61 = e4 | all_0_61_61 = e2 | all_0_61_61 = e1 | all_0_66_66 = e4 | all_0_66_66 = e3 | all_0_66_66 = e1 | all_0_71_71 = e4 | all_0_71_71 = e3 | all_0_71_71 = e2 % 19.76/5.15 | % 19.76/5.15 | Equations (261) can reduce 247 to: % 19.76/5.15 | (274) ~ (e2 = e0) % 19.76/5.15 | % 19.76/5.15 | Simplifying 274 yields: % 19.76/5.15 | (48) ~ (e2 = e0) % 19.76/5.15 | % 19.76/5.15 +-Applying beta-rule and splitting (140), into two cases. % 19.76/5.15 |-Branch one: % 19.76/5.15 | (498) all_0_63_63 = e4 % 19.76/5.15 | % 19.76/5.15 | Equations (498) can reduce 470 to: % 19.76/5.15 | (17) ~ (e4 = e0) % 19.76/5.15 | % 19.76/5.15 +-Applying beta-rule and splitting (483), into two cases. % 19.76/5.15 |-Branch one: % 19.76/5.15 | (500) all_0_70_70 = e4 % 19.76/5.15 | % 19.76/5.15 | Equations (500) can reduce 471 to: % 19.76/5.15 | (17) ~ (e4 = e0) % 19.76/5.15 | % 19.76/5.15 +-Applying beta-rule and splitting (495), into two cases. % 19.76/5.15 |-Branch one: % 19.76/5.15 | (258) all_0_56_56 = e1 % 19.76/5.15 | % 19.76/5.15 | Combining equations (261,258) yields a new equation: % 19.76/5.15 | (288) e1 = e0 % 19.76/5.15 | % 19.76/5.15 | Equations (288) can reduce 204 to: % 19.76/5.15 | (251) $false % 19.76/5.15 | % 19.76/5.15 |-The branch is then unsatisfiable % 19.76/5.15 |-Branch two: % 19.76/5.15 | (245) ~ (all_0_56_56 = e1) % 19.76/5.15 | (506) all_0_61_61 = e4 | all_0_61_61 = e2 | all_0_61_61 = e1 | all_0_66_66 = e4 | all_0_66_66 = e3 | all_0_66_66 = e1 | all_0_71_71 = e4 | all_0_71_71 = e3 | all_0_71_71 = e2 % 19.76/5.15 | % 19.76/5.15 | Equations (261) can reduce 245 to: % 19.76/5.15 | (276) ~ (e1 = e0) % 19.76/5.15 | % 19.76/5.15 | Simplifying 276 yields: % 19.76/5.15 | (204) ~ (e1 = e0) % 19.76/5.15 | % 19.76/5.15 +-Applying beta-rule and splitting (506), into two cases. % 19.76/5.15 |-Branch one: % 19.76/5.15 | (509) all_0_61_61 = e4 % 19.76/5.15 | % 19.76/5.15 | Combining equations (467,509) yields a new equation: % 19.76/5.15 | (510) e4 = e0 % 19.76/5.15 | % 19.76/5.15 | Equations (510) can reduce 17 to: % 19.76/5.15 | (251) $false % 19.76/5.15 | % 19.76/5.15 |-The branch is then unsatisfiable % 19.76/5.15 |-Branch two: % 19.76/5.15 | (512) ~ (all_0_61_61 = e4) % 19.76/5.15 | (513) all_0_61_61 = e2 | all_0_61_61 = e1 | all_0_66_66 = e4 | all_0_66_66 = e3 | all_0_66_66 = e1 | all_0_71_71 = e4 | all_0_71_71 = e3 | all_0_71_71 = e2 % 19.76/5.15 | % 19.76/5.15 | Equations (467) can reduce 512 to: % 19.76/5.15 | (514) ~ (e4 = e0) % 19.76/5.15 | % 19.76/5.15 | Simplifying 514 yields: % 19.76/5.15 | (17) ~ (e4 = e0) % 19.76/5.15 | % 19.76/5.15 +-Applying beta-rule and splitting (513), into two cases. % 19.76/5.15 |-Branch one: % 19.76/5.15 | (341) all_0_61_61 = e2 % 19.76/5.15 | % 19.76/5.15 | Combining equations (467,341) yields a new equation: % 19.76/5.15 | (355) e2 = e0 % 19.76/5.15 | % 19.76/5.15 | Equations (355) can reduce 48 to: % 19.76/5.15 | (251) $false % 19.76/5.15 | % 19.76/5.15 |-The branch is then unsatisfiable % 19.76/5.15 |-Branch two: % 19.76/5.15 | (244) ~ (all_0_61_61 = e2) % 19.76/5.15 | (520) all_0_61_61 = e1 | all_0_66_66 = e4 | all_0_66_66 = e3 | all_0_66_66 = e1 | all_0_71_71 = e4 | all_0_71_71 = e3 | all_0_71_71 = e2 % 19.76/5.15 | % 19.76/5.15 | Equations (467) can reduce 244 to: % 19.76/5.15 | (274) ~ (e2 = e0) % 19.76/5.15 | % 19.76/5.15 | Simplifying 274 yields: % 19.76/5.15 | (48) ~ (e2 = e0) % 19.76/5.15 | % 19.76/5.15 +-Applying beta-rule and splitting (520), into two cases. % 19.76/5.15 |-Branch one: % 19.76/5.15 | (523) all_0_61_61 = e1 % 19.76/5.15 | % 19.76/5.15 | Combining equations (467,523) yields a new equation: % 19.76/5.15 | (288) e1 = e0 % 19.76/5.15 | % 19.76/5.15 | Equations (288) can reduce 204 to: % 19.76/5.15 | (251) $false % 19.76/5.15 | % 19.76/5.15 |-The branch is then unsatisfiable % 19.76/5.15 |-Branch two: % 19.76/5.15 | (246) ~ (all_0_61_61 = e1) % 19.76/5.15 | (527) all_0_66_66 = e4 | all_0_66_66 = e3 | all_0_66_66 = e1 | all_0_71_71 = e4 | all_0_71_71 = e3 | all_0_71_71 = e2 % 19.76/5.15 | % 19.76/5.15 | Equations (467) can reduce 246 to: % 19.76/5.15 | (276) ~ (e1 = e0) % 19.76/5.16 | % 19.76/5.16 | Simplifying 276 yields: % 19.76/5.16 | (204) ~ (e1 = e0) % 19.76/5.16 | % 19.76/5.16 +-Applying beta-rule and splitting (527), into two cases. % 19.76/5.16 |-Branch one: % 19.76/5.16 | (530) all_0_66_66 = e4 % 19.76/5.16 | % 19.76/5.16 | Combining equations (530,468) yields a new equation: % 19.76/5.16 | (531) e4 = e0 % 19.76/5.16 | % 19.76/5.16 | Simplifying 531 yields: % 19.76/5.16 | (510) e4 = e0 % 19.76/5.16 | % 19.76/5.16 | Equations (510) can reduce 17 to: % 19.76/5.16 | (251) $false % 19.76/5.16 | % 19.76/5.16 |-The branch is then unsatisfiable % 19.76/5.16 |-Branch two: % 19.76/5.16 | (534) ~ (all_0_66_66 = e4) % 19.76/5.16 | (535) all_0_66_66 = e3 | all_0_66_66 = e1 | all_0_71_71 = e4 | all_0_71_71 = e3 | all_0_71_71 = e2 % 19.76/5.16 | % 19.76/5.16 | Equations (468) can reduce 534 to: % 19.76/5.16 | (514) ~ (e4 = e0) % 19.76/5.16 | % 19.76/5.16 | Simplifying 514 yields: % 19.76/5.16 | (17) ~ (e4 = e0) % 19.76/5.16 | % 19.76/5.16 +-Applying beta-rule and splitting (535), into two cases. % 19.76/5.16 |-Branch one: % 19.76/5.16 | (538) all_0_66_66 = e3 % 19.76/5.16 | % 19.76/5.16 | Combining equations (538,468) yields a new equation: % 19.76/5.16 | (390) e3 = e0 % 19.76/5.16 | % 19.76/5.16 | Simplifying 390 yields: % 19.76/5.16 | (391) e3 = e0 % 19.76/5.16 | % 19.76/5.16 | Equations (391) can reduce 36 to: % 19.76/5.16 | (251) $false % 19.76/5.16 | % 19.76/5.16 |-The branch is then unsatisfiable % 19.76/5.16 |-Branch two: % 19.76/5.16 | (542) ~ (all_0_66_66 = e3) % 19.76/5.16 | (543) all_0_66_66 = e1 | all_0_71_71 = e4 | all_0_71_71 = e3 | all_0_71_71 = e2 % 19.76/5.16 | % 19.76/5.16 | Equations (468) can reduce 542 to: % 19.76/5.16 | (272) ~ (e3 = e0) % 19.76/5.16 | % 19.76/5.16 | Simplifying 272 yields: % 19.76/5.16 | (36) ~ (e3 = e0) % 19.76/5.16 | % 19.76/5.16 +-Applying beta-rule and splitting (543), into two cases. % 19.76/5.16 |-Branch one: % 19.76/5.16 | (546) all_0_66_66 = e1 % 19.76/5.16 | % 19.76/5.16 | Combining equations (546,468) yields a new equation: % 19.76/5.16 | (287) e1 = e0 % 19.76/5.16 | % 19.76/5.16 | Simplifying 287 yields: % 19.76/5.16 | (288) e1 = e0 % 19.76/5.16 | % 19.76/5.16 | Equations (288) can reduce 204 to: % 19.76/5.16 | (251) $false % 19.76/5.16 | % 19.76/5.16 |-The branch is then unsatisfiable % 19.76/5.16 |-Branch two: % 19.76/5.16 | (248) ~ (all_0_66_66 = e1) % 19.76/5.16 | (551) all_0_71_71 = e4 | all_0_71_71 = e3 | all_0_71_71 = e2 % 19.76/5.16 | % 19.76/5.16 +-Applying beta-rule and splitting (551), into two cases. % 19.76/5.16 |-Branch one: % 19.76/5.16 | (552) all_0_71_71 = e4 % 19.76/5.16 | % 19.76/5.16 | Combining equations (552,469) yields a new equation: % 19.76/5.16 | (531) e4 = e0 % 19.76/5.16 | % 19.76/5.16 | Simplifying 531 yields: % 19.76/5.16 | (510) e4 = e0 % 19.76/5.16 | % 19.76/5.16 | Equations (510) can reduce 17 to: % 19.76/5.16 | (251) $false % 19.76/5.16 | % 19.76/5.16 |-The branch is then unsatisfiable % 19.76/5.16 |-Branch two: % 19.76/5.16 | (556) ~ (all_0_71_71 = e4) % 19.76/5.16 | (557) all_0_71_71 = e3 | all_0_71_71 = e2 % 19.76/5.16 | % 19.76/5.16 +-Applying beta-rule and splitting (557), into two cases. % 19.76/5.16 |-Branch one: % 19.76/5.16 | (558) all_0_71_71 = e3 % 19.76/5.16 | % 19.76/5.16 | Combining equations (558,469) yields a new equation: % 19.76/5.16 | (390) e3 = e0 % 19.76/5.16 | % 19.76/5.16 | Simplifying 390 yields: % 19.76/5.16 | (391) e3 = e0 % 19.76/5.16 | % 19.76/5.16 | Equations (391) can reduce 36 to: % 19.76/5.16 | (251) $false % 19.76/5.16 | % 19.76/5.16 |-The branch is then unsatisfiable % 19.76/5.16 |-Branch two: % 19.76/5.16 | (297) ~ (all_0_71_71 = e3) % 19.76/5.16 | (563) all_0_71_71 = e2 % 19.76/5.16 | % 19.76/5.16 | Combining equations (563,469) yields a new equation: % 19.76/5.16 | (354) e2 = e0 % 19.76/5.16 | % 19.76/5.16 | Simplifying 354 yields: % 19.76/5.16 | (355) e2 = e0 % 19.76/5.16 | % 19.76/5.16 | Equations (355) can reduce 48 to: % 19.76/5.16 | (251) $false % 19.76/5.16 | % 19.76/5.16 |-The branch is then unsatisfiable % 19.76/5.16 |-Branch two: % 19.76/5.16 | (567) ~ (all_0_70_70 = e4) % 19.76/5.16 | (552) all_0_71_71 = e4 % 19.76/5.16 | % 19.76/5.16 | Combining equations (469,552) yields a new equation: % 19.76/5.16 | (510) e4 = e0 % 19.76/5.16 | % 19.76/5.16 | Equations (510) can reduce 17 to: % 19.76/5.16 | (251) $false % 19.76/5.16 | % 19.76/5.16 |-The branch is then unsatisfiable % 19.76/5.16 |-Branch two: % 19.76/5.16 | (571) ~ (all_0_63_63 = e4) % 19.76/5.16 | (572) all_0_63_63 = e2 | all_0_63_63 = e0 % 19.76/5.16 | % 19.76/5.16 +-Applying beta-rule and splitting (572), into two cases. % 19.76/5.16 |-Branch one: % 19.76/5.16 | (573) all_0_63_63 = e2 % 19.76/5.16 | % 19.76/5.16 | Equations (573) can reduce 366 to: % 19.76/5.16 | (251) $false % 19.76/5.16 | % 19.76/5.16 |-The branch is then unsatisfiable % 19.76/5.16 |-Branch two: % 19.76/5.16 | (366) ~ (all_0_63_63 = e2) % 19.76/5.16 | (576) all_0_63_63 = e0 % 19.76/5.16 | % 19.76/5.16 | Equations (576) can reduce 470 to: % 19.76/5.16 | (251) $false % 19.76/5.16 | % 19.76/5.16 |-The branch is then unsatisfiable % 19.76/5.16 |-Branch two: % 19.76/5.16 | (578) ( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4) % 19.76/5.16 | % 19.76/5.16 | Applying alpha-rule on (578) yields: % 19.76/5.16 | (579) ~ (all_0_29_29 = e3) | all_0_30_30 = e4 % 19.76/5.16 | (580) ~ (all_0_31_31 = e2) | all_0_32_32 = e4 % 19.76/5.16 | (581) ~ (all_0_33_33 = e1) | all_0_34_34 = e4 % 19.76/5.16 | % 19.76/5.16 +-Applying beta-rule and splitting (581), into two cases. % 19.76/5.16 |-Branch one: % 19.76/5.16 | (582) ~ (all_0_33_33 = e1) % 19.76/5.16 | % 19.76/5.16 | Equations (400) can reduce 582 to: % 19.76/5.16 | (251) $false % 19.76/5.16 | % 19.76/5.16 |-The branch is then unsatisfiable % 19.76/5.16 |-Branch two: % 19.76/5.16 | (400) all_0_33_33 = e1 % 19.76/5.16 | (585) all_0_34_34 = e4 % 19.76/5.16 | % 19.76/5.16 | Combining equations (427,585) yields a new equation: % 19.76/5.16 | (480) e4 = e2 % 19.76/5.16 | % 19.76/5.16 | Equations (480) can reduce 49 to: % 19.76/5.16 | (251) $false % 19.76/5.16 | % 19.76/5.16 |-The branch is then unsatisfiable % 19.76/5.16 |-Branch two: % 19.76/5.16 | (588) ( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3) % 19.76/5.16 | % 19.76/5.16 | Applying alpha-rule on (588) yields: % 19.76/5.16 | (589) ~ (all_0_35_35 = e4) | all_0_36_36 = e3 % 19.76/5.16 | (590) ~ (all_0_38_38 = e2) | all_0_39_39 = e3 % 19.76/5.16 | (591) ~ (all_0_40_40 = e1) | all_0_41_41 = e3 % 19.76/5.16 | % 19.76/5.16 +-Applying beta-rule and splitting (591), into two cases. % 19.76/5.16 |-Branch one: % 19.76/5.16 | (592) ~ (all_0_40_40 = e1) % 19.76/5.16 | % 19.76/5.16 | Equations (452) can reduce 592 to: % 19.76/5.16 | (251) $false % 19.76/5.16 | % 19.76/5.16 |-The branch is then unsatisfiable % 19.76/5.16 |-Branch two: % 19.76/5.16 | (452) all_0_40_40 = e1 % 19.76/5.16 | (595) all_0_41_41 = e3 % 19.76/5.16 | % 19.76/5.16 | Combining equations (422,595) yields a new equation: % 19.76/5.16 | (596) all_0_70_70 = e3 % 19.76/5.16 | % 19.76/5.16 | Simplifying 596 yields: % 19.76/5.16 | (597) all_0_70_70 = e3 % 19.76/5.16 | % 19.76/5.16 | Equations (597) can reduce 397 to: % 19.76/5.16 | (251) $false % 19.76/5.16 | % 19.76/5.16 |-The branch is then unsatisfiable % 19.76/5.16 |-Branch two: % 19.76/5.16 | (599) ( ~ (all_0_42_42 = e4) | all_0_43_43 = e2) & ( ~ (all_0_44_44 = e3) | all_0_45_45 = e2) & ( ~ (all_0_47_47 = e1) | all_0_48_48 = e2) % 19.76/5.16 | % 19.76/5.16 | Applying alpha-rule on (599) yields: % 19.76/5.16 | (600) ~ (all_0_42_42 = e4) | all_0_43_43 = e2 % 19.76/5.16 | (601) ~ (all_0_44_44 = e3) | all_0_45_45 = e2 % 19.76/5.16 | (602) ~ (all_0_47_47 = e1) | all_0_48_48 = e2 % 19.76/5.16 | % 19.76/5.17 +-Applying beta-rule and splitting (601), into two cases. % 19.76/5.17 |-Branch one: % 19.76/5.17 | (603) ~ (all_0_44_44 = e3) % 19.76/5.17 | % 19.76/5.17 | Equations (454) can reduce 603 to: % 19.76/5.17 | (251) $false % 19.76/5.17 | % 19.76/5.17 |-The branch is then unsatisfiable % 19.76/5.17 |-Branch two: % 19.76/5.17 | (454) all_0_44_44 = e3 % 19.76/5.17 | (606) all_0_45_45 = e2 % 19.76/5.17 | % 19.76/5.17 | Combining equations (458,606) yields a new equation: % 19.76/5.17 | (607) all_0_63_63 = e2 % 19.76/5.17 | % 19.76/5.17 | Simplifying 607 yields: % 19.76/5.17 | (573) all_0_63_63 = e2 % 19.76/5.17 | % 19.76/5.17 | Equations (573) can reduce 366 to: % 19.76/5.17 | (251) $false % 19.76/5.17 | % 19.76/5.17 |-The branch is then unsatisfiable % 19.76/5.17 |-Branch two: % 19.76/5.17 | (610) ( ~ (all_0_49_49 = e4) | all_0_50_50 = e1) & ( ~ (all_0_51_51 = e3) | all_0_52_52 = e1) & ( ~ (all_0_53_53 = e2) | all_0_54_54 = e1) % 19.76/5.17 | % 19.76/5.17 | Applying alpha-rule on (610) yields: % 19.76/5.17 | (611) ~ (all_0_49_49 = e4) | all_0_50_50 = e1 % 19.76/5.17 | (612) ~ (all_0_51_51 = e3) | all_0_52_52 = e1 % 19.76/5.17 | (613) ~ (all_0_53_53 = e2) | all_0_54_54 = e1 % 19.76/5.17 | % 19.76/5.17 +-Applying beta-rule and splitting (613), into two cases. % 19.76/5.17 |-Branch one: % 19.76/5.17 | (614) ~ (all_0_53_53 = e2) % 19.76/5.17 | % 19.76/5.17 | Equations (456) can reduce 614 to: % 19.76/5.17 | (251) $false % 19.76/5.17 | % 19.76/5.17 |-The branch is then unsatisfiable % 19.76/5.17 |-Branch two: % 19.76/5.17 | (456) all_0_53_53 = e2 % 19.76/5.17 | (617) all_0_54_54 = e1 % 19.76/5.17 | % 19.76/5.17 | Combining equations (460,617) yields a new equation: % 19.76/5.17 | (618) all_0_65_65 = e1 % 19.76/5.17 | % 19.76/5.17 | Simplifying 618 yields: % 19.76/5.17 | (619) all_0_65_65 = e1 % 19.76/5.17 | % 19.76/5.17 | Equations (619) can reduce 308 to: % 19.76/5.17 | (251) $false % 19.76/5.17 | % 19.76/5.17 |-The branch is then unsatisfiable % 19.76/5.17 |-Branch two: % 19.76/5.17 | (621) ~ (all_0_58_58 = e3) % 19.76/5.17 | (622) all_0_58_58 = e1 | all_0_58_58 = e0 % 19.76/5.17 | % 19.76/5.17 +-Applying beta-rule and splitting (394), into two cases. % 19.76/5.17 |-Branch one: % 19.76/5.17 | (395) all_0_58_58 = e3 % 19.76/5.17 | % 19.76/5.17 | Equations (395) can reduce 621 to: % 19.76/5.17 | (251) $false % 19.76/5.17 | % 19.76/5.17 |-The branch is then unsatisfiable % 19.76/5.17 |-Branch two: % 19.76/5.17 | (621) ~ (all_0_58_58 = e3) % 19.76/5.17 | (375) all_0_59_59 = e3 % 19.76/5.17 | % 19.76/5.17 | Combining equations (364,375) yields a new equation: % 19.76/5.17 | (376) e3 = e2 % 19.76/5.17 | % 19.76/5.17 | Equations (376) can reduce 128 to: % 19.76/5.17 | (251) $false % 19.76/5.17 | % 19.76/5.17 |-The branch is then unsatisfiable % 19.76/5.17 |-Branch two: % 19.76/5.17 | (629) ~ (all_0_67_67 = e3) % 19.76/5.17 | (558) all_0_71_71 = e3 % 19.76/5.17 | % 19.76/5.17 | Equations (558) can reduce 297 to: % 19.76/5.17 | (251) $false % 19.76/5.17 | % 19.76/5.17 |-The branch is then unsatisfiable % 19.76/5.17 |-Branch two: % 19.76/5.17 | (632) ~ (all_0_62_62 = e1) % 19.76/5.17 | (546) all_0_66_66 = e1 % 19.76/5.17 | % 19.76/5.17 | Equations (546) can reduce 248 to: % 19.76/5.17 | (251) $false % 19.76/5.17 | % 19.76/5.17 |-The branch is then unsatisfiable % 19.76/5.17 |-Branch two: % 19.76/5.17 | (635) ~ (all_0_57_57 = e1) % 19.76/5.17 | (636) all_0_61_61 = e1 | all_0_65_65 = e1 % 19.76/5.17 | % 19.76/5.17 +-Applying beta-rule and splitting (636), into two cases. % 19.76/5.17 |-Branch one: % 19.76/5.17 | (523) all_0_61_61 = e1 % 19.76/5.17 | % 19.76/5.17 | Equations (523) can reduce 246 to: % 19.76/5.17 | (251) $false % 19.76/5.17 | % 19.76/5.17 |-The branch is then unsatisfiable % 19.76/5.17 |-Branch two: % 19.76/5.17 | (246) ~ (all_0_61_61 = e1) % 19.76/5.17 | (619) all_0_65_65 = e1 % 19.76/5.17 | % 19.76/5.17 | Equations (619) can reduce 308 to: % 19.76/5.17 | (251) $false % 19.76/5.17 | % 19.76/5.17 |-The branch is then unsatisfiable % 19.76/5.17 |-Branch two: % 19.76/5.17 | (642) ~ (all_0_64_64 = e1) % 19.76/5.17 | (643) all_0_64_64 = e0 % 19.76/5.17 | % 19.76/5.17 | Equations (643) can reduce 269 to: % 19.76/5.17 | (251) $false % 19.76/5.17 | % 19.76/5.17 |-The branch is then unsatisfiable % 19.76/5.17 |-Branch two: % 19.76/5.17 | (645) ~ (all_0_68_68 = e3) % 19.76/5.17 | (646) all_0_68_68 = e2 | all_0_68_68 = e0 % 19.76/5.17 | % 19.76/5.17 +-Applying beta-rule and splitting (291), into two cases. % 19.76/5.17 |-Branch one: % 19.76/5.17 | (647) all_0_60_60 = e1 % 19.76/5.17 | % 19.76/5.17 | Combining equations (278,647) yields a new equation: % 19.76/5.17 | (336) e2 = e1 % 19.76/5.17 | % 19.76/5.17 | Simplifying 336 yields: % 19.76/5.17 | (337) e2 = e1 % 19.76/5.17 | % 19.76/5.17 | Equations (337) can reduce 184 to: % 19.76/5.17 | (251) $false % 19.76/5.17 | % 19.76/5.17 |-The branch is then unsatisfiable % 19.76/5.17 |-Branch two: % 19.76/5.17 | (651) ~ (all_0_60_60 = e1) % 19.76/5.17 | (306) all_0_64_64 = e1 % 19.76/5.17 | % 19.76/5.17 +-Applying beta-rule and splitting (27), into two cases. % 19.76/5.17 |-Branch one: % 19.76/5.17 | (250) all_0_56_56 = e3 % 19.76/5.17 | % 19.76/5.17 | Combining equations (250,261) yields a new equation: % 19.76/5.17 | (390) e3 = e0 % 19.76/5.17 | % 19.76/5.17 | Simplifying 390 yields: % 19.76/5.17 | (391) e3 = e0 % 19.76/5.17 | % 19.76/5.17 | Equations (391) can reduce 36 to: % 19.76/5.17 | (251) $false % 19.76/5.17 | % 19.76/5.17 |-The branch is then unsatisfiable % 19.76/5.17 |-Branch two: % 19.76/5.17 | (249) ~ (all_0_56_56 = e3) % 19.76/5.17 | (658) all_0_64_64 = e3 | all_0_68_68 = e3 % 19.76/5.17 | % 19.76/5.17 +-Applying beta-rule and splitting (658), into two cases. % 19.76/5.17 |-Branch one: % 19.76/5.17 | (302) all_0_64_64 = e3 % 19.76/5.17 | % 19.76/5.17 | Combining equations (302,306) yields a new equation: % 19.76/5.17 | (660) e3 = e1 % 19.76/5.17 | % 19.76/5.17 | Simplifying 660 yields: % 19.76/5.17 | (661) e3 = e1 % 19.76/5.17 | % 19.76/5.17 | Equations (661) can reduce 15 to: % 19.76/5.17 | (251) $false % 19.76/5.17 | % 19.76/5.17 |-The branch is then unsatisfiable % 19.76/5.17 |-Branch two: % 19.76/5.17 | (293) ~ (all_0_64_64 = e3) % 19.76/5.17 | (292) all_0_68_68 = e3 % 19.76/5.17 | % 19.76/5.17 | Equations (292) can reduce 645 to: % 19.76/5.17 | (251) $false % 19.76/5.17 | % 19.76/5.17 |-The branch is then unsatisfiable % 19.76/5.17 |-Branch two: % 19.76/5.17 | (666) ~ (all_0_60_60 = e2) % 19.76/5.17 | (667) all_0_60_60 = e1 | all_0_60_60 = e0 % 19.76/5.17 | % 19.76/5.17 +-Applying beta-rule and splitting (667), into two cases. % 19.76/5.17 |-Branch one: % 19.76/5.17 | (647) all_0_60_60 = e1 % 19.76/5.17 | % 19.76/5.17 | Equations (647) can reduce 39 to: % 19.76/5.17 | (669) ~ (all_0_61_61 = e1) % 19.76/5.17 | % 19.76/5.17 | Simplifying 669 yields: % 19.76/5.17 | (246) ~ (all_0_61_61 = e1) % 19.76/5.17 | % 19.76/5.17 | Equations (647) can reduce 76 to: % 19.76/5.17 | (671) ~ (all_0_63_63 = e1) % 19.76/5.17 | % 19.76/5.17 | Simplifying 671 yields: % 19.76/5.17 | (119) ~ (all_0_63_63 = e1) % 19.76/5.17 | % 19.76/5.17 | Equations (647) can reduce 218 to: % 19.76/5.17 | (673) ~ (all_0_64_64 = e1) % 19.76/5.17 | % 19.76/5.17 | Simplifying 673 yields: % 19.76/5.17 | (642) ~ (all_0_64_64 = e1) % 19.76/5.17 | % 19.76/5.17 | Equations (647) can reduce 83 to: % 19.76/5.17 | (675) ~ (all_0_68_68 = e1) % 19.76/5.17 | % 19.76/5.18 | Simplifying 675 yields: % 19.76/5.18 | (108) ~ (all_0_68_68 = e1) % 19.76/5.18 | % 19.76/5.18 | Equations (647) can reduce 666 to: % 19.76/5.18 | (328) ~ (e2 = e1) % 19.76/5.18 | % 19.76/5.18 | Simplifying 328 yields: % 19.76/5.18 | (184) ~ (e2 = e1) % 19.76/5.18 | % 19.76/5.18 | From (647) and (175) follows: % 19.76/5.18 | (679) op(e1, e3) = all_0_7_7 % 19.76/5.18 | % 19.76/5.18 | From (647) and (64) follows: % 19.76/5.18 | (680) op(e3, e1) = all_0_30_30 % 19.76/5.18 | % 19.76/5.18 +-Applying beta-rule and splitting (228), into two cases. % 19.76/5.18 |-Branch one: % 19.76/5.18 | (278) all_0_60_60 = e2 % 19.76/5.18 | % 19.76/5.18 | Combining equations (647,278) yields a new equation: % 19.76/5.18 | (337) e2 = e1 % 19.76/5.18 | % 19.76/5.18 | Equations (337) can reduce 184 to: % 19.76/5.18 | (251) $false % 19.76/5.18 | % 19.76/5.18 |-The branch is then unsatisfiable % 19.76/5.18 |-Branch two: % 19.76/5.18 | (666) ~ (all_0_60_60 = e2) % 19.76/5.18 | (685) all_0_61_61 = e2 | all_0_63_63 = e2 % 19.76/5.18 | % 19.76/5.18 | Equations (647) can reduce 666 to: % 19.76/5.18 | (328) ~ (e2 = e1) % 19.76/5.18 | % 19.76/5.18 | Simplifying 328 yields: % 19.76/5.18 | (184) ~ (e2 = e1) % 19.76/5.18 | % 19.76/5.18 +-Applying beta-rule and splitting (45), into two cases. % 19.76/5.18 |-Branch one: % 19.76/5.18 | (302) all_0_64_64 = e3 % 19.76/5.18 | % 19.76/5.18 | Equations (302) can reduce 191 to: % 19.76/5.18 | (689) ~ (all_0_65_65 = e3) % 19.76/5.18 | % 19.76/5.18 | Simplifying 689 yields: % 19.76/5.18 | (75) ~ (all_0_65_65 = e3) % 19.76/5.18 | % 19.76/5.18 | Equations (302) can reduce 100 to: % 19.76/5.18 | (691) ~ (all_0_66_66 = e3) % 19.76/5.18 | % 19.76/5.18 | Simplifying 691 yields: % 19.76/5.18 | (542) ~ (all_0_66_66 = e3) % 19.76/5.18 | % 19.76/5.18 | Equations (302) can reduce 155 to: % 19.76/5.18 | (693) ~ (all_0_68_68 = e3) % 19.76/5.18 | % 19.76/5.18 | Simplifying 693 yields: % 19.76/5.18 | (645) ~ (all_0_68_68 = e3) % 19.76/5.18 | % 19.76/5.18 | Equations (302) can reduce 642 to: % 19.76/5.18 | (15) ~ (e3 = e1) % 19.76/5.18 | % 19.76/5.18 | Equations (302) can reduce 269 to: % 19.76/5.18 | (36) ~ (e3 = e0) % 19.76/5.18 | % 19.76/5.18 | From (302) and (234) follows: % 19.76/5.18 | (697) op(e3, e2) = all_0_14_14 % 19.76/5.18 | % 19.76/5.18 | From (302) and (133) follows: % 19.76/5.18 | (698) op(e2, e3) = all_0_32_32 % 19.76/5.18 | % 19.76/5.18 +-Applying beta-rule and splitting (166), into two cases. % 19.76/5.18 |-Branch one: % 19.76/5.18 | (306) all_0_64_64 = e1 % 19.76/5.18 | % 19.76/5.18 | Combining equations (306,302) yields a new equation: % 19.76/5.18 | (661) e3 = e1 % 19.76/5.18 | % 19.76/5.18 | Equations (661) can reduce 15 to: % 19.76/5.18 | (251) $false % 19.76/5.18 | % 19.76/5.18 |-The branch is then unsatisfiable % 19.76/5.18 |-Branch two: % 19.76/5.18 | (642) ~ (all_0_64_64 = e1) % 19.76/5.18 | (703) all_0_65_65 = e1 | all_0_66_66 = e1 % 19.76/5.18 | % 19.76/5.18 +-Applying beta-rule and splitting (153), into two cases. % 19.76/5.18 |-Branch one: % 19.76/5.18 | (254) all_0_56_56 = e2 % 19.76/5.18 | % 19.76/5.18 | Combining equations (254,261) yields a new equation: % 19.76/5.18 | (354) e2 = e0 % 19.76/5.18 | % 19.76/5.18 | Simplifying 354 yields: % 19.76/5.18 | (355) e2 = e0 % 19.76/5.18 | % 19.76/5.18 | Equations (355) can reduce 48 to: % 19.76/5.18 | (251) $false % 19.76/5.18 | % 19.76/5.18 |-The branch is then unsatisfiable % 19.76/5.18 |-Branch two: % 19.76/5.18 | (247) ~ (all_0_56_56 = e2) % 19.76/5.18 | (709) all_0_60_60 = e2 | all_0_68_68 = e2 % 19.76/5.18 | % 19.76/5.18 +-Applying beta-rule and splitting (210), into two cases. % 19.76/5.18 |-Branch one: % 19.76/5.18 | (323) all_0_58_58 = e1 % 19.76/5.18 | % 19.76/5.18 | Equations (323) can reduce 71 to: % 19.76/5.18 | (635) ~ (all_0_57_57 = e1) % 19.76/5.18 | % 19.76/5.18 | Equations (323) can reduce 180 to: % 19.76/5.18 | (712) ~ (all_0_62_62 = e1) % 19.76/5.18 | % 19.76/5.18 | Simplifying 712 yields: % 19.76/5.18 | (632) ~ (all_0_62_62 = e1) % 19.76/5.18 | % 19.76/5.18 | Equations (323) can reduce 216 to: % 19.76/5.18 | (309) ~ (all_0_66_66 = e1) % 19.76/5.18 | % 19.76/5.18 | Simplifying 309 yields: % 19.76/5.18 | (248) ~ (all_0_66_66 = e1) % 19.76/5.18 | % 19.76/5.18 | Equations (323) can reduce 224 to: % 19.76/5.18 | (716) ~ (all_0_70_70 = e1) % 19.76/5.18 | % 19.76/5.18 | Simplifying 716 yields: % 19.76/5.18 | (93) ~ (all_0_70_70 = e1) % 19.76/5.18 | % 19.76/5.18 | From (323) and (31) follows: % 19.76/5.18 | (718) op(e1, e2) = all_0_4_4 % 19.76/5.18 | % 19.76/5.18 | From (323) and (160) follows: % 19.76/5.18 | (719) op(e4, e2) = e1 % 19.76/5.18 | % 19.76/5.18 +-Applying beta-rule and splitting (239), into two cases. % 19.76/5.18 |-Branch one: % 19.76/5.18 | (292) all_0_68_68 = e3 % 19.76/5.18 | % 19.76/5.18 | Equations (292) can reduce 645 to: % 19.76/5.18 | (251) $false % 19.76/5.18 | % 19.76/5.18 |-The branch is then unsatisfiable % 19.76/5.18 |-Branch two: % 19.76/5.18 | (645) ~ (all_0_68_68 = e3) % 19.76/5.18 | (646) all_0_68_68 = e2 | all_0_68_68 = e0 % 19.76/5.18 | % 19.76/5.18 +-Applying beta-rule and splitting (201), into two cases. % 19.76/5.18 |-Branch one: % 19.76/5.18 | (335) all_0_57_57 = e2 % 19.76/5.18 | % 19.76/5.18 | Equations (335) can reduce 126 to: % 19.76/5.18 | (279) ~ (all_0_61_61 = e2) % 19.76/5.18 | % 19.76/5.18 | Simplifying 279 yields: % 19.76/5.18 | (244) ~ (all_0_61_61 = e2) % 19.76/5.18 | % 19.76/5.18 | From (335) and (134) follows: % 19.76/5.18 | (727) op(e2, e3) = all_0_2_2 % 19.76/5.18 | % 19.76/5.18 | From (335) and (67) follows: % 19.76/5.18 | (728) op(e3, e2) = all_0_35_35 % 19.76/5.18 | % 19.76/5.18 +-Applying beta-rule and splitting (646), into two cases. % 19.76/5.18 |-Branch one: % 19.76/5.18 | (729) all_0_68_68 = e2 % 19.76/5.18 | % 19.76/5.18 | Equations (729) can reduce 194 to: % 19.76/5.18 | (730) ~ (all_0_69_69 = e2) % 19.76/5.18 | % 19.76/5.18 | Simplifying 730 yields: % 19.76/5.18 | (731) ~ (all_0_69_69 = e2) % 19.76/5.18 | % 19.76/5.18 | From (729) and (113) follows: % 19.76/5.18 | (732) op(e2, e1) = all_0_21_21 % 19.76/5.18 | % 19.76/5.18 | From (729) and (190) follows: % 19.76/5.18 | (733) op(e4, e2) = all_0_33_33 % 19.76/5.18 | % 19.76/5.18 | From (729) and (223) follows: % 19.76/5.18 | (734) op(e1, e2) = all_0_34_34 % 19.76/5.18 | % 19.76/5.18 +-Applying beta-rule and splitting (703), into two cases. % 19.76/5.18 |-Branch one: % 19.76/5.18 | (619) all_0_65_65 = e1 % 19.76/5.18 | % 19.76/5.18 | Equations (619) can reduce 75 to: % 19.76/5.18 | (736) ~ (e3 = e1) % 19.76/5.18 | % 19.76/5.18 | Simplifying 736 yields: % 19.76/5.18 | (15) ~ (e3 = e1) % 19.76/5.18 | % 19.76/5.18 | From (619) and (188) follows: % 19.76/5.18 | (738) op(e1, e3) = all_0_17_17 % 19.76/5.18 | % 19.76/5.18 | From (619) and (178) follows: % 19.76/5.18 | (739) op(e1, e2) = all_0_16_16 % 19.76/5.18 | % 19.76/5.18 | From (619) and (21) follows: % 19.76/5.18 | (740) op(e3, e1) = all_0_38_38 % 19.76/5.18 | % 19.76/5.18 | From (619) and (231) follows: % 19.76/5.18 | (741) op(e2, e1) = all_0_39_39 % 19.76/5.18 | % 19.76/5.18 | From (619) and (6) follows: % 19.76/5.18 | (742) op(e2, e3) = e1 % 19.76/5.18 | % 19.76/5.18 +-Applying beta-rule and splitting (685), into two cases. % 19.76/5.18 |-Branch one: % 19.76/5.18 | (341) all_0_61_61 = e2 % 19.76/5.18 | % 19.76/5.18 | Equations (341) can reduce 244 to: % 19.76/5.19 | (251) $false % 19.76/5.19 | % 19.76/5.19 |-The branch is then unsatisfiable % 19.76/5.19 |-Branch two: % 19.76/5.19 | (244) ~ (all_0_61_61 = e2) % 19.76/5.19 | (573) all_0_63_63 = e2 % 19.76/5.19 | % 19.76/5.19 | Equations (573) can reduce 226 to: % 19.76/5.19 | (369) ~ (all_0_71_71 = e2) % 19.76/5.19 | % 19.76/5.19 | Simplifying 369 yields: % 19.76/5.19 | (370) ~ (all_0_71_71 = e2) % 19.76/5.19 | % 19.76/5.19 | From (573) and (62) follows: % 19.76/5.19 | (749) op(e2, e3) = all_0_12_12 % 19.76/5.19 | % 19.76/5.19 | From (573) and (13) follows: % 19.76/5.19 | (750) op(e2, e1) = all_0_13_13 % 19.76/5.19 | % 19.76/5.19 | From (573) and (235) follows: % 19.76/5.19 | (751) op(e3, e2) = all_0_52_52 % 19.76/5.19 | % 19.76/5.19 | From (573) and (129) follows: % 19.76/5.19 | (752) op(e3, e1) = e2 % 19.76/5.19 | % 19.76/5.19 | From (573) and (65) follows: % 19.76/5.19 | (753) op(e1, e2) = all_0_51_51 % 19.76/5.19 | % 19.76/5.19 +-Applying beta-rule and splitting (54), into two cases. % 19.76/5.19 |-Branch one: % 19.76/5.19 | (395) all_0_58_58 = e3 % 19.76/5.19 | % 19.76/5.19 | Combining equations (323,395) yields a new equation: % 19.76/5.19 | (661) e3 = e1 % 19.76/5.19 | % 19.76/5.19 | Equations (661) can reduce 15 to: % 19.76/5.19 | (251) $false % 19.76/5.19 | % 19.76/5.19 |-The branch is then unsatisfiable % 19.76/5.19 |-Branch two: % 19.76/5.19 | (621) ~ (all_0_58_58 = e3) % 19.76/5.19 | (758) all_0_66_66 = e3 | all_0_70_70 = e3 % 19.76/5.19 | % 19.76/5.19 +-Applying beta-rule and splitting (758), into two cases. % 19.76/5.19 |-Branch one: % 19.76/5.19 | (538) all_0_66_66 = e3 % 19.76/5.19 | % 19.76/5.19 | Equations (538) can reduce 542 to: % 19.76/5.19 | (251) $false % 19.76/5.19 | % 19.76/5.19 |-The branch is then unsatisfiable % 19.76/5.19 |-Branch two: % 19.76/5.19 | (542) ~ (all_0_66_66 = e3) % 19.76/5.19 | (597) all_0_70_70 = e3 % 19.76/5.19 | % 19.76/5.19 | Equations (597) can reduce 93 to: % 19.76/5.19 | (15) ~ (e3 = e1) % 19.76/5.19 | % 19.76/5.19 | From (597) and (30) follows: % 19.76/5.19 | (764) op(e3, e2) = all_0_26_26 % 19.76/5.19 | % 19.76/5.19 | From (597) and (95) follows: % 19.76/5.19 | (765) op(e3, e1) = all_0_25_25 % 19.76/5.19 | % 19.76/5.19 | From (597) and (35) follows: % 19.76/5.19 | (766) op(e2, e3) = all_0_47_47 % 19.76/5.19 | % 19.76/5.19 | From (597) and (241) follows: % 19.76/5.19 | (767) op(e1, e3) = all_0_48_48 % 19.76/5.19 | % 19.76/5.19 | From (597) and (81) follows: % 19.76/5.19 | (768) op(e1, e2) = e3 % 19.76/5.19 | % 19.76/5.19 +-Applying beta-rule and splitting (207), into two cases. % 19.76/5.19 |-Branch one: % 19.76/5.19 | (375) all_0_59_59 = e3 % 19.76/5.19 | % 19.76/5.19 | Equations (375) can reduce 22 to: % 19.76/5.19 | (770) ~ (all_0_67_67 = e3) % 19.76/5.19 | % 19.76/5.19 | Simplifying 770 yields: % 19.76/5.19 | (629) ~ (all_0_67_67 = e3) % 19.76/5.19 | % 19.76/5.19 | Equations (375) can reduce 28 to: % 19.76/5.19 | (296) ~ (all_0_71_71 = e3) % 19.76/5.19 | % 19.76/5.19 | Simplifying 296 yields: % 19.76/5.19 | (297) ~ (all_0_71_71 = e3) % 19.76/5.19 | % 19.76/5.19 | Equations (375) can reduce 202 to: % 19.76/5.19 | (774) ~ (e4 = e3) % 19.76/5.19 | % 19.76/5.19 | Simplifying 774 yields: % 19.76/5.19 | (130) ~ (e4 = e3) % 19.76/5.19 | % 19.76/5.19 | From (375) and (123) follows: % 19.76/5.19 | (776) op(e3, e1) = all_0_6_6 % 19.76/5.19 | % 19.76/5.19 | Instantiating formula (61) with e4, e2, e1, all_0_33_33 and discharging atoms op(e4, e2) = all_0_33_33, op(e4, e2) = e1, yields: % 19.76/5.19 | (400) all_0_33_33 = e1 % 19.76/5.19 | % 19.76/5.19 | Instantiating formula (61) with e3, e2, all_0_14_14, all_0_62_62 and discharging atoms op(e3, e2) = all_0_14_14, op(e3, e2) = all_0_62_62, yields: % 19.76/5.19 | (778) all_0_14_14 = all_0_62_62 % 19.76/5.19 | % 19.76/5.19 | Instantiating formula (61) with e3, e2, all_0_26_26, all_0_14_14 and discharging atoms op(e3, e2) = all_0_14_14, op(e3, e2) = all_0_26_26, yields: % 19.76/5.19 | (779) all_0_14_14 = all_0_26_26 % 19.76/5.19 | % 19.76/5.19 | Instantiating formula (61) with e3, e2, all_0_35_35, all_0_26_26 and discharging atoms op(e3, e2) = all_0_26_26, op(e3, e2) = all_0_35_35, yields: % 19.76/5.19 | (780) all_0_26_26 = all_0_35_35 % 19.76/5.19 | % 19.76/5.19 | Instantiating formula (61) with e3, e2, all_0_52_52, all_0_35_35 and discharging atoms op(e3, e2) = all_0_35_35, op(e3, e2) = all_0_52_52, yields: % 19.76/5.19 | (781) all_0_35_35 = all_0_52_52 % 19.76/5.19 | % 19.76/5.19 | Instantiating formula (61) with e3, e1, all_0_25_25, all_0_6_6 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = all_0_25_25, yields: % 19.76/5.19 | (782) all_0_6_6 = all_0_25_25 % 19.76/5.19 | % 19.76/5.19 | Instantiating formula (61) with e3, e1, all_0_30_30, all_0_25_25 and discharging atoms op(e3, e1) = all_0_25_25, op(e3, e1) = all_0_30_30, yields: % 19.76/5.19 | (783) all_0_25_25 = all_0_30_30 % 19.76/5.19 | % 19.76/5.19 | Instantiating formula (61) with e3, e1, all_0_38_38, all_0_6_6 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = all_0_38_38, yields: % 19.76/5.19 | (784) all_0_6_6 = all_0_38_38 % 19.76/5.19 | % 19.76/5.19 | Instantiating formula (61) with e3, e1, e2, all_0_30_30 and discharging atoms op(e3, e1) = all_0_30_30, op(e3, e1) = e2, yields: % 19.76/5.19 | (785) all_0_30_30 = e2 % 19.76/5.19 | % 19.76/5.19 | Instantiating formula (61) with e2, e3, all_0_32_32, all_0_2_2 and discharging atoms op(e2, e3) = all_0_2_2, op(e2, e3) = all_0_32_32, yields: % 19.76/5.19 | (786) all_0_2_2 = all_0_32_32 % 19.76/5.19 | % 19.76/5.19 | Instantiating formula (61) with e2, e3, all_0_32_32, all_0_12_12 and discharging atoms op(e2, e3) = all_0_12_12, op(e2, e3) = all_0_32_32, yields: % 19.76/5.19 | (787) all_0_12_12 = all_0_32_32 % 19.76/5.19 | % 19.76/5.19 | Instantiating formula (61) with e2, e3, all_0_47_47, all_0_2_2 and discharging atoms op(e2, e3) = all_0_2_2, op(e2, e3) = all_0_47_47, yields: % 19.76/5.19 | (788) all_0_2_2 = all_0_47_47 % 19.76/5.19 | % 19.76/5.19 | Instantiating formula (61) with e2, e3, e1, all_0_12_12 and discharging atoms op(e2, e3) = all_0_12_12, op(e2, e3) = e1, yields: % 19.76/5.19 | (789) all_0_12_12 = e1 % 19.76/5.19 | % 19.76/5.19 | Instantiating formula (61) with e2, e1, all_0_13_13, all_0_67_67 and discharging atoms op(e2, e1) = all_0_13_13, op(e2, e1) = all_0_67_67, yields: % 19.76/5.19 | (790) all_0_13_13 = all_0_67_67 % 19.76/5.19 | % 19.76/5.19 | Instantiating formula (61) with e2, e1, all_0_21_21, all_0_13_13 and discharging atoms op(e2, e1) = all_0_13_13, op(e2, e1) = all_0_21_21, yields: % 19.76/5.19 | (791) all_0_13_13 = all_0_21_21 % 19.76/5.19 | % 19.76/5.19 | Instantiating formula (61) with e2, e1, all_0_39_39, all_0_21_21 and discharging atoms op(e2, e1) = all_0_21_21, op(e2, e1) = all_0_39_39, yields: % 19.76/5.19 | (792) all_0_21_21 = all_0_39_39 % 19.76/5.19 | % 19.76/5.19 | Instantiating formula (61) with e1, e3, all_0_7_7, all_0_69_69 and discharging atoms op(e1, e3) = all_0_7_7, op(e1, e3) = all_0_69_69, yields: % 19.76/5.19 | (793) all_0_7_7 = all_0_69_69 % 19.76/5.19 | % 19.76/5.19 | Instantiating formula (61) with e1, e3, all_0_17_17, all_0_7_7 and discharging atoms op(e1, e3) = all_0_7_7, op(e1, e3) = all_0_17_17, yields: % 19.76/5.19 | (794) all_0_7_7 = all_0_17_17 % 19.76/5.19 | % 19.76/5.19 | Instantiating formula (61) with e1, e3, all_0_48_48, all_0_17_17 and discharging atoms op(e1, e3) = all_0_17_17, op(e1, e3) = all_0_48_48, yields: % 19.76/5.19 | (795) all_0_17_17 = all_0_48_48 % 19.76/5.19 | % 19.76/5.19 | Instantiating formula (61) with e1, e2, all_0_16_16, all_0_4_4 and discharging atoms op(e1, e2) = all_0_4_4, op(e1, e2) = all_0_16_16, yields: % 19.76/5.19 | (796) all_0_4_4 = all_0_16_16 % 19.76/5.19 | % 19.76/5.19 | Instantiating formula (61) with e1, e2, all_0_34_34, all_0_16_16 and discharging atoms op(e1, e2) = all_0_16_16, op(e1, e2) = all_0_34_34, yields: % 19.76/5.19 | (797) all_0_16_16 = all_0_34_34 % 19.76/5.19 | % 19.76/5.19 | Instantiating formula (61) with e1, e2, all_0_51_51, all_0_4_4 and discharging atoms op(e1, e2) = all_0_4_4, op(e1, e2) = all_0_51_51, yields: % 19.76/5.19 | (798) all_0_4_4 = all_0_51_51 % 19.76/5.20 | % 19.76/5.20 | Instantiating formula (61) with e1, e2, e3, all_0_34_34 and discharging atoms op(e1, e2) = all_0_34_34, op(e1, e2) = e3, yields: % 19.76/5.20 | (799) all_0_34_34 = e3 % 19.76/5.20 | % 19.76/5.20 | Combining equations (786,788) yields a new equation: % 19.76/5.20 | (800) all_0_32_32 = all_0_47_47 % 19.76/5.20 | % 19.76/5.20 | Simplifying 800 yields: % 19.76/5.20 | (801) all_0_32_32 = all_0_47_47 % 19.76/5.20 | % 19.76/5.20 | Combining equations (796,798) yields a new equation: % 19.76/5.20 | (802) all_0_16_16 = all_0_51_51 % 19.76/5.20 | % 19.76/5.20 | Simplifying 802 yields: % 19.76/5.20 | (803) all_0_16_16 = all_0_51_51 % 19.76/5.20 | % 19.76/5.20 | Combining equations (782,784) yields a new equation: % 19.76/5.20 | (804) all_0_25_25 = all_0_38_38 % 19.76/5.20 | % 19.76/5.20 | Simplifying 804 yields: % 19.76/5.20 | (805) all_0_25_25 = all_0_38_38 % 19.76/5.20 | % 19.76/5.20 | Combining equations (794,793) yields a new equation: % 19.76/5.20 | (806) all_0_17_17 = all_0_69_69 % 19.76/5.20 | % 19.76/5.20 | Simplifying 806 yields: % 19.76/5.20 | (807) all_0_17_17 = all_0_69_69 % 19.76/5.20 | % 19.76/5.20 | Combining equations (787,789) yields a new equation: % 19.76/5.20 | (808) all_0_32_32 = e1 % 19.76/5.20 | % 19.76/5.20 | Simplifying 808 yields: % 19.76/5.20 | (809) all_0_32_32 = e1 % 19.76/5.20 | % 19.76/5.20 | Combining equations (791,790) yields a new equation: % 19.76/5.20 | (810) all_0_21_21 = all_0_67_67 % 19.76/5.20 | % 19.76/5.20 | Simplifying 810 yields: % 19.76/5.20 | (811) all_0_21_21 = all_0_67_67 % 19.76/5.20 | % 19.76/5.20 | Combining equations (779,778) yields a new equation: % 19.76/5.20 | (812) all_0_26_26 = all_0_62_62 % 19.76/5.20 | % 19.76/5.20 | Simplifying 812 yields: % 19.76/5.20 | (813) all_0_26_26 = all_0_62_62 % 19.76/5.20 | % 19.76/5.20 | Combining equations (797,803) yields a new equation: % 19.76/5.20 | (814) all_0_34_34 = all_0_51_51 % 19.76/5.20 | % 19.76/5.20 | Simplifying 814 yields: % 19.76/5.20 | (815) all_0_34_34 = all_0_51_51 % 19.76/5.20 | % 19.76/5.20 | Combining equations (795,807) yields a new equation: % 19.76/5.20 | (816) all_0_48_48 = all_0_69_69 % 19.76/5.20 | % 19.76/5.20 | Simplifying 816 yields: % 19.76/5.20 | (817) all_0_48_48 = all_0_69_69 % 19.76/5.20 | % 19.76/5.20 | Combining equations (792,811) yields a new equation: % 19.76/5.20 | (818) all_0_39_39 = all_0_67_67 % 19.76/5.20 | % 19.76/5.20 | Simplifying 818 yields: % 19.76/5.20 | (819) all_0_39_39 = all_0_67_67 % 19.76/5.20 | % 19.76/5.20 | Combining equations (783,805) yields a new equation: % 19.76/5.20 | (820) all_0_30_30 = all_0_38_38 % 19.76/5.20 | % 19.76/5.20 | Simplifying 820 yields: % 19.76/5.20 | (821) all_0_30_30 = all_0_38_38 % 19.76/5.20 | % 19.76/5.20 | Combining equations (780,813) yields a new equation: % 19.76/5.20 | (822) all_0_35_35 = all_0_62_62 % 19.76/5.20 | % 19.76/5.20 | Simplifying 822 yields: % 19.76/5.20 | (823) all_0_35_35 = all_0_62_62 % 19.76/5.20 | % 19.76/5.20 | Combining equations (785,821) yields a new equation: % 19.76/5.20 | (824) all_0_38_38 = e2 % 19.76/5.20 | % 19.76/5.20 | Combining equations (801,809) yields a new equation: % 19.76/5.20 | (825) all_0_47_47 = e1 % 19.76/5.20 | % 19.76/5.20 | Simplifying 825 yields: % 19.76/5.20 | (826) all_0_47_47 = e1 % 19.76/5.20 | % 19.76/5.20 | Combining equations (799,815) yields a new equation: % 19.76/5.20 | (827) all_0_51_51 = e3 % 19.76/5.20 | % 19.76/5.20 | Combining equations (823,781) yields a new equation: % 19.76/5.20 | (828) all_0_52_52 = all_0_62_62 % 19.76/5.20 | % 19.76/5.20 | Combining equations (827,815) yields a new equation: % 19.76/5.20 | (799) all_0_34_34 = e3 % 19.76/5.20 | % 19.76/5.20 +-Applying beta-rule and splitting (183), into two cases. % 19.76/5.20 |-Branch one: % 19.76/5.20 | (462) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) | (( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3)) | (( ~ (all_0_42_42 = e4) | all_0_43_43 = e2) & ( ~ (all_0_44_44 = e3) | all_0_45_45 = e2) & ( ~ (all_0_47_47 = e1) | all_0_48_48 = e2)) % 19.76/5.20 | % 19.76/5.20 +-Applying beta-rule and splitting (462), into two cases. % 19.76/5.20 |-Branch one: % 19.76/5.20 | (463) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) | (( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3)) % 19.76/5.20 | % 19.76/5.20 +-Applying beta-rule and splitting (463), into two cases. % 19.76/5.20 |-Branch one: % 19.76/5.20 | (464) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) % 19.76/5.20 | % 19.76/5.20 +-Applying beta-rule and splitting (464), into two cases. % 19.76/5.20 |-Branch one: % 19.76/5.20 | (465) all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0 % 19.76/5.20 | % 19.76/5.20 | Applying alpha-rule on (465) yields: % 19.76/5.20 | (261) all_0_56_56 = e0 % 19.76/5.20 | (467) all_0_61_61 = e0 % 19.76/5.20 | (468) all_0_66_66 = e0 % 19.76/5.20 | (469) all_0_71_71 = e0 % 19.76/5.20 | % 19.76/5.20 | Equations (468) can reduce 135 to: % 19.76/5.20 | (838) ~ (all_0_62_62 = e0) % 19.76/5.20 | % 19.76/5.20 | Equations (469) can reduce 297 to: % 19.76/5.20 | (272) ~ (e3 = e0) % 19.76/5.20 | % 19.76/5.20 | Simplifying 272 yields: % 19.76/5.20 | (36) ~ (e3 = e0) % 19.76/5.20 | % 19.76/5.20 | Equations (469) can reduce 370 to: % 19.76/5.20 | (274) ~ (e2 = e0) % 19.76/5.20 | % 19.76/5.20 | Simplifying 274 yields: % 19.76/5.20 | (48) ~ (e2 = e0) % 19.76/5.20 | % 19.76/5.20 | Equations (469) can reduce 200 to: % 19.76/5.20 | (276) ~ (e1 = e0) % 19.76/5.20 | % 19.76/5.20 | Simplifying 276 yields: % 19.76/5.20 | (204) ~ (e1 = e0) % 19.76/5.20 | % 19.76/5.20 +-Applying beta-rule and splitting (53), into two cases. % 19.76/5.20 |-Branch one: % 19.76/5.20 | (845) all_0_62_62 = e4 % 19.76/5.20 | % 19.76/5.20 | Equations (845) can reduce 838 to: % 19.76/5.20 | (17) ~ (e4 = e0) % 19.76/5.20 | % 19.76/5.20 +-Applying beta-rule and splitting (32), into two cases. % 19.76/5.20 |-Branch one: % 19.76/5.20 | (250) all_0_56_56 = e3 % 19.76/5.20 | % 19.76/5.20 | Combining equations (261,250) yields a new equation: % 19.76/5.20 | (391) e3 = e0 % 19.76/5.20 | % 19.76/5.20 | Equations (391) can reduce 36 to: % 19.76/5.20 | (251) $false % 19.76/5.20 | % 19.76/5.20 |-The branch is then unsatisfiable % 19.76/5.20 |-Branch two: % 19.76/5.20 | (249) ~ (all_0_56_56 = e3) % 19.76/5.20 | (488) all_0_56_56 = e2 | all_0_56_56 = e1 | all_0_61_61 = e4 | all_0_61_61 = e2 | all_0_61_61 = e1 | all_0_66_66 = e4 | all_0_66_66 = e3 | all_0_66_66 = e1 | all_0_71_71 = e4 | all_0_71_71 = e3 | all_0_71_71 = e2 % 19.76/5.20 | % 19.76/5.20 | Equations (261) can reduce 249 to: % 19.76/5.21 | (272) ~ (e3 = e0) % 19.76/5.21 | % 19.76/5.21 | Simplifying 272 yields: % 19.76/5.21 | (36) ~ (e3 = e0) % 19.76/5.21 | % 19.76/5.21 +-Applying beta-rule and splitting (488), into two cases. % 19.76/5.21 |-Branch one: % 19.76/5.21 | (254) all_0_56_56 = e2 % 19.76/5.21 | % 19.76/5.21 | Combining equations (261,254) yields a new equation: % 19.76/5.21 | (355) e2 = e0 % 19.76/5.21 | % 19.76/5.21 | Equations (355) can reduce 48 to: % 19.76/5.21 | (251) $false % 19.76/5.21 | % 19.76/5.21 |-The branch is then unsatisfiable % 19.76/5.21 |-Branch two: % 19.76/5.21 | (247) ~ (all_0_56_56 = e2) % 19.76/5.21 | (495) all_0_56_56 = e1 | all_0_61_61 = e4 | all_0_61_61 = e2 | all_0_61_61 = e1 | all_0_66_66 = e4 | all_0_66_66 = e3 | all_0_66_66 = e1 | all_0_71_71 = e4 | all_0_71_71 = e3 | all_0_71_71 = e2 % 19.76/5.21 | % 19.76/5.21 | Equations (261) can reduce 247 to: % 19.76/5.21 | (274) ~ (e2 = e0) % 19.76/5.21 | % 19.76/5.21 | Simplifying 274 yields: % 19.76/5.21 | (48) ~ (e2 = e0) % 19.76/5.21 | % 19.76/5.21 +-Applying beta-rule and splitting (495), into two cases. % 19.76/5.21 |-Branch one: % 19.76/5.21 | (258) all_0_56_56 = e1 % 19.76/5.21 | % 19.76/5.21 | Combining equations (261,258) yields a new equation: % 19.76/5.21 | (288) e1 = e0 % 19.76/5.21 | % 19.76/5.21 | Equations (288) can reduce 204 to: % 19.76/5.21 | (251) $false % 19.76/5.21 | % 19.76/5.21 |-The branch is then unsatisfiable % 19.76/5.21 |-Branch two: % 19.76/5.21 | (245) ~ (all_0_56_56 = e1) % 19.76/5.21 | (506) all_0_61_61 = e4 | all_0_61_61 = e2 | all_0_61_61 = e1 | all_0_66_66 = e4 | all_0_66_66 = e3 | all_0_66_66 = e1 | all_0_71_71 = e4 | all_0_71_71 = e3 | all_0_71_71 = e2 % 19.76/5.21 | % 19.76/5.21 | Equations (261) can reduce 245 to: % 19.76/5.21 | (276) ~ (e1 = e0) % 19.76/5.21 | % 19.76/5.21 | Simplifying 276 yields: % 19.76/5.21 | (204) ~ (e1 = e0) % 19.76/5.21 | % 19.76/5.21 +-Applying beta-rule and splitting (506), into two cases. % 19.76/5.21 |-Branch one: % 19.76/5.21 | (509) all_0_61_61 = e4 % 19.76/5.21 | % 19.76/5.21 | Combining equations (467,509) yields a new equation: % 19.76/5.21 | (510) e4 = e0 % 19.76/5.21 | % 19.76/5.21 | Equations (510) can reduce 17 to: % 19.76/5.21 | (251) $false % 19.76/5.21 | % 19.76/5.21 |-The branch is then unsatisfiable % 19.76/5.21 |-Branch two: % 19.76/5.21 | (512) ~ (all_0_61_61 = e4) % 19.76/5.21 | (513) all_0_61_61 = e2 | all_0_61_61 = e1 | all_0_66_66 = e4 | all_0_66_66 = e3 | all_0_66_66 = e1 | all_0_71_71 = e4 | all_0_71_71 = e3 | all_0_71_71 = e2 % 19.76/5.21 | % 19.76/5.21 | Equations (467) can reduce 512 to: % 19.76/5.21 | (514) ~ (e4 = e0) % 19.76/5.21 | % 19.76/5.21 | Simplifying 514 yields: % 19.76/5.21 | (17) ~ (e4 = e0) % 19.76/5.21 | % 19.76/5.21 +-Applying beta-rule and splitting (513), into two cases. % 19.76/5.21 |-Branch one: % 19.76/5.21 | (341) all_0_61_61 = e2 % 19.76/5.21 | % 19.76/5.21 | Combining equations (467,341) yields a new equation: % 19.76/5.21 | (355) e2 = e0 % 19.76/5.21 | % 19.76/5.21 | Equations (355) can reduce 48 to: % 19.76/5.21 | (251) $false % 19.76/5.21 | % 19.76/5.21 |-The branch is then unsatisfiable % 19.76/5.21 |-Branch two: % 19.76/5.21 | (244) ~ (all_0_61_61 = e2) % 19.76/5.21 | (520) all_0_61_61 = e1 | all_0_66_66 = e4 | all_0_66_66 = e3 | all_0_66_66 = e1 | all_0_71_71 = e4 | all_0_71_71 = e3 | all_0_71_71 = e2 % 19.76/5.21 | % 19.76/5.21 | Equations (467) can reduce 244 to: % 19.76/5.21 | (274) ~ (e2 = e0) % 19.76/5.21 | % 19.76/5.21 | Simplifying 274 yields: % 19.76/5.21 | (48) ~ (e2 = e0) % 19.76/5.21 | % 19.76/5.21 +-Applying beta-rule and splitting (520), into two cases. % 19.76/5.21 |-Branch one: % 19.76/5.21 | (523) all_0_61_61 = e1 % 19.76/5.21 | % 19.76/5.21 | Combining equations (467,523) yields a new equation: % 19.76/5.21 | (288) e1 = e0 % 19.76/5.21 | % 19.76/5.21 | Equations (288) can reduce 204 to: % 19.76/5.21 | (251) $false % 19.76/5.21 | % 19.76/5.21 |-The branch is then unsatisfiable % 19.76/5.21 |-Branch two: % 19.76/5.21 | (246) ~ (all_0_61_61 = e1) % 19.76/5.21 | (527) all_0_66_66 = e4 | all_0_66_66 = e3 | all_0_66_66 = e1 | all_0_71_71 = e4 | all_0_71_71 = e3 | all_0_71_71 = e2 % 19.76/5.21 | % 19.76/5.21 | Equations (467) can reduce 246 to: % 19.76/5.21 | (276) ~ (e1 = e0) % 19.76/5.21 | % 19.76/5.21 | Simplifying 276 yields: % 19.76/5.21 | (204) ~ (e1 = e0) % 19.76/5.21 | % 19.76/5.21 +-Applying beta-rule and splitting (527), into two cases. % 19.76/5.21 |-Branch one: % 19.76/5.21 | (530) all_0_66_66 = e4 % 19.76/5.21 | % 19.76/5.21 | Combining equations (468,530) yields a new equation: % 19.76/5.21 | (510) e4 = e0 % 19.76/5.21 | % 19.76/5.21 | Equations (510) can reduce 17 to: % 19.76/5.21 | (251) $false % 19.76/5.21 | % 19.76/5.21 |-The branch is then unsatisfiable % 19.76/5.21 |-Branch two: % 19.76/5.21 | (534) ~ (all_0_66_66 = e4) % 19.76/5.21 | (535) all_0_66_66 = e3 | all_0_66_66 = e1 | all_0_71_71 = e4 | all_0_71_71 = e3 | all_0_71_71 = e2 % 19.76/5.21 | % 19.76/5.21 | Equations (468) can reduce 534 to: % 19.76/5.21 | (514) ~ (e4 = e0) % 19.76/5.21 | % 19.76/5.21 | Simplifying 514 yields: % 19.76/5.21 | (17) ~ (e4 = e0) % 19.76/5.21 | % 19.76/5.21 +-Applying beta-rule and splitting (535), into two cases. % 19.76/5.21 |-Branch one: % 19.76/5.21 | (538) all_0_66_66 = e3 % 19.76/5.21 | % 19.76/5.21 | Combining equations (468,538) yields a new equation: % 19.76/5.21 | (391) e3 = e0 % 19.76/5.21 | % 19.76/5.21 | Equations (391) can reduce 36 to: % 19.76/5.21 | (251) $false % 19.76/5.21 | % 19.76/5.21 |-The branch is then unsatisfiable % 19.76/5.21 |-Branch two: % 19.76/5.21 | (542) ~ (all_0_66_66 = e3) % 19.76/5.21 | (543) all_0_66_66 = e1 | all_0_71_71 = e4 | all_0_71_71 = e3 | all_0_71_71 = e2 % 19.76/5.21 | % 19.76/5.21 | Equations (468) can reduce 542 to: % 19.76/5.21 | (272) ~ (e3 = e0) % 19.76/5.21 | % 19.76/5.21 | Simplifying 272 yields: % 19.76/5.21 | (36) ~ (e3 = e0) % 19.76/5.21 | % 19.76/5.21 +-Applying beta-rule and splitting (543), into two cases. % 19.76/5.21 |-Branch one: % 19.76/5.21 | (546) all_0_66_66 = e1 % 19.76/5.21 | % 19.76/5.21 | Combining equations (468,546) yields a new equation: % 19.76/5.21 | (288) e1 = e0 % 19.76/5.21 | % 19.76/5.21 | Equations (288) can reduce 204 to: % 19.76/5.21 | (251) $false % 19.76/5.21 | % 19.76/5.21 |-The branch is then unsatisfiable % 19.76/5.21 |-Branch two: % 19.76/5.21 | (248) ~ (all_0_66_66 = e1) % 19.76/5.21 | (551) all_0_71_71 = e4 | all_0_71_71 = e3 | all_0_71_71 = e2 % 19.76/5.21 | % 19.76/5.21 +-Applying beta-rule and splitting (551), into two cases. % 19.76/5.21 |-Branch one: % 19.76/5.21 | (552) all_0_71_71 = e4 % 19.76/5.21 | % 19.76/5.21 | Combining equations (469,552) yields a new equation: % 19.76/5.21 | (510) e4 = e0 % 19.76/5.21 | % 19.76/5.21 | Equations (510) can reduce 17 to: % 19.76/5.21 | (251) $false % 19.76/5.21 | % 19.76/5.21 |-The branch is then unsatisfiable % 19.76/5.21 |-Branch two: % 19.76/5.21 | (556) ~ (all_0_71_71 = e4) % 19.76/5.21 | (557) all_0_71_71 = e3 | all_0_71_71 = e2 % 19.76/5.21 | % 19.76/5.21 +-Applying beta-rule and splitting (557), into two cases. % 19.76/5.21 |-Branch one: % 19.76/5.21 | (558) all_0_71_71 = e3 % 19.76/5.21 | % 19.76/5.21 | Combining equations (469,558) yields a new equation: % 19.76/5.21 | (391) e3 = e0 % 19.76/5.21 | % 19.76/5.21 | Equations (391) can reduce 36 to: % 19.76/5.21 | (251) $false % 19.76/5.21 | % 19.76/5.21 |-The branch is then unsatisfiable % 19.76/5.21 |-Branch two: % 19.76/5.21 | (297) ~ (all_0_71_71 = e3) % 19.76/5.21 | (563) all_0_71_71 = e2 % 19.76/5.21 | % 19.76/5.21 | Combining equations (469,563) yields a new equation: % 19.76/5.21 | (355) e2 = e0 % 19.76/5.21 | % 19.76/5.21 | Equations (355) can reduce 48 to: % 19.76/5.21 | (251) $false % 19.76/5.21 | % 19.76/5.21 |-The branch is then unsatisfiable % 19.76/5.21 |-Branch two: % 19.76/5.21 | (920) ~ (all_0_62_62 = e4) % 19.76/5.21 | (921) all_0_62_62 = e1 | all_0_62_62 = e0 % 19.76/5.21 | % 19.76/5.21 +-Applying beta-rule and splitting (921), into two cases. % 19.76/5.21 |-Branch one: % 19.76/5.21 | (327) all_0_62_62 = e1 % 19.76/5.21 | % 19.76/5.21 | Equations (327) can reduce 632 to: % 19.76/5.21 | (251) $false % 19.76/5.21 | % 19.76/5.21 |-The branch is then unsatisfiable % 19.76/5.21 |-Branch two: % 19.76/5.21 | (632) ~ (all_0_62_62 = e1) % 19.76/5.21 | (925) all_0_62_62 = e0 % 19.76/5.21 | % 19.76/5.21 | Equations (925) can reduce 838 to: % 19.76/5.21 | (251) $false % 19.76/5.21 | % 19.76/5.21 |-The branch is then unsatisfiable % 19.76/5.21 |-Branch two: % 19.76/5.21 | (578) ( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4) % 19.76/5.21 | % 19.76/5.21 | Applying alpha-rule on (578) yields: % 19.76/5.21 | (579) ~ (all_0_29_29 = e3) | all_0_30_30 = e4 % 19.76/5.21 | (580) ~ (all_0_31_31 = e2) | all_0_32_32 = e4 % 19.76/5.21 | (581) ~ (all_0_33_33 = e1) | all_0_34_34 = e4 % 19.76/5.21 | % 19.76/5.21 +-Applying beta-rule and splitting (581), into two cases. % 19.76/5.21 |-Branch one: % 19.76/5.21 | (582) ~ (all_0_33_33 = e1) % 19.76/5.21 | % 19.76/5.21 | Equations (400) can reduce 582 to: % 19.76/5.21 | (251) $false % 19.76/5.21 | % 19.76/5.21 |-The branch is then unsatisfiable % 19.76/5.21 |-Branch two: % 19.76/5.21 | (400) all_0_33_33 = e1 % 19.76/5.21 | (585) all_0_34_34 = e4 % 19.76/5.21 | % 19.76/5.21 | Combining equations (799,585) yields a new equation: % 19.76/5.21 | (935) e4 = e3 % 19.76/5.21 | % 19.76/5.21 | Equations (935) can reduce 130 to: % 19.76/5.21 | (251) $false % 19.76/5.21 | % 19.76/5.21 |-The branch is then unsatisfiable % 19.76/5.21 |-Branch two: % 19.76/5.21 | (588) ( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3) % 19.76/5.21 | % 19.76/5.21 | Applying alpha-rule on (588) yields: % 19.76/5.21 | (589) ~ (all_0_35_35 = e4) | all_0_36_36 = e3 % 19.76/5.21 | (590) ~ (all_0_38_38 = e2) | all_0_39_39 = e3 % 19.76/5.21 | (591) ~ (all_0_40_40 = e1) | all_0_41_41 = e3 % 19.76/5.21 | % 19.76/5.21 +-Applying beta-rule and splitting (590), into two cases. % 19.76/5.21 |-Branch one: % 19.76/5.21 | (941) ~ (all_0_38_38 = e2) % 19.76/5.21 | % 19.76/5.21 | Equations (824) can reduce 941 to: % 19.76/5.21 | (251) $false % 19.76/5.21 | % 19.76/5.21 |-The branch is then unsatisfiable % 19.76/5.21 |-Branch two: % 19.76/5.21 | (824) all_0_38_38 = e2 % 19.76/5.21 | (944) all_0_39_39 = e3 % 19.76/5.21 | % 19.76/5.21 | Combining equations (819,944) yields a new equation: % 19.76/5.21 | (945) all_0_67_67 = e3 % 19.76/5.21 | % 19.76/5.21 | Simplifying 945 yields: % 19.76/5.21 | (380) all_0_67_67 = e3 % 19.76/5.21 | % 19.76/5.21 | Equations (380) can reduce 629 to: % 19.76/5.21 | (251) $false % 19.76/5.21 | % 19.76/5.21 |-The branch is then unsatisfiable % 19.76/5.21 |-Branch two: % 19.76/5.21 | (599) ( ~ (all_0_42_42 = e4) | all_0_43_43 = e2) & ( ~ (all_0_44_44 = e3) | all_0_45_45 = e2) & ( ~ (all_0_47_47 = e1) | all_0_48_48 = e2) % 19.76/5.21 | % 19.76/5.21 | Applying alpha-rule on (599) yields: % 19.76/5.21 | (600) ~ (all_0_42_42 = e4) | all_0_43_43 = e2 % 19.76/5.21 | (601) ~ (all_0_44_44 = e3) | all_0_45_45 = e2 % 19.76/5.21 | (602) ~ (all_0_47_47 = e1) | all_0_48_48 = e2 % 19.76/5.21 | % 19.76/5.21 +-Applying beta-rule and splitting (602), into two cases. % 19.76/5.21 |-Branch one: % 19.76/5.21 | (952) ~ (all_0_47_47 = e1) % 19.76/5.21 | % 19.76/5.21 | Equations (826) can reduce 952 to: % 19.76/5.21 | (251) $false % 19.76/5.21 | % 19.76/5.21 |-The branch is then unsatisfiable % 19.76/5.21 |-Branch two: % 19.76/5.21 | (826) all_0_47_47 = e1 % 19.76/5.21 | (955) all_0_48_48 = e2 % 19.76/5.21 | % 19.76/5.21 | Combining equations (817,955) yields a new equation: % 19.76/5.21 | (956) all_0_69_69 = e2 % 19.76/5.21 | % 19.76/5.21 | Simplifying 956 yields: % 19.76/5.21 | (344) all_0_69_69 = e2 % 19.76/5.21 | % 19.76/5.21 | Equations (344) can reduce 731 to: % 19.76/5.21 | (251) $false % 19.76/5.21 | % 19.76/5.21 |-The branch is then unsatisfiable % 19.76/5.21 |-Branch two: % 19.76/5.21 | (610) ( ~ (all_0_49_49 = e4) | all_0_50_50 = e1) & ( ~ (all_0_51_51 = e3) | all_0_52_52 = e1) & ( ~ (all_0_53_53 = e2) | all_0_54_54 = e1) % 19.76/5.21 | % 19.76/5.22 | Applying alpha-rule on (610) yields: % 19.76/5.22 | (611) ~ (all_0_49_49 = e4) | all_0_50_50 = e1 % 19.76/5.22 | (612) ~ (all_0_51_51 = e3) | all_0_52_52 = e1 % 19.76/5.22 | (613) ~ (all_0_53_53 = e2) | all_0_54_54 = e1 % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (612), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (963) ~ (all_0_51_51 = e3) % 19.76/5.22 | % 19.76/5.22 | Equations (827) can reduce 963 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (827) all_0_51_51 = e3 % 19.76/5.22 | (966) all_0_52_52 = e1 % 19.76/5.22 | % 19.76/5.22 | Combining equations (828,966) yields a new equation: % 19.76/5.22 | (967) all_0_62_62 = e1 % 19.76/5.22 | % 19.76/5.22 | Simplifying 967 yields: % 19.76/5.22 | (327) all_0_62_62 = e1 % 19.76/5.22 | % 19.76/5.22 | Equations (327) can reduce 632 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (378) ~ (all_0_59_59 = e3) % 19.76/5.22 | (379) all_0_67_67 = e3 | all_0_71_71 = e3 % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (209), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (250) all_0_56_56 = e3 % 19.76/5.22 | % 19.76/5.22 | Combining equations (250,261) yields a new equation: % 19.76/5.22 | (390) e3 = e0 % 19.76/5.22 | % 19.76/5.22 | Simplifying 390 yields: % 19.76/5.22 | (391) e3 = e0 % 19.76/5.22 | % 19.76/5.22 | Equations (391) can reduce 36 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (249) ~ (all_0_56_56 = e3) % 19.76/5.22 | (394) all_0_58_58 = e3 | all_0_59_59 = e3 % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (394), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (395) all_0_58_58 = e3 % 19.76/5.22 | % 19.76/5.22 | Combining equations (323,395) yields a new equation: % 19.76/5.22 | (661) e3 = e1 % 19.76/5.22 | % 19.76/5.22 | Equations (661) can reduce 15 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (621) ~ (all_0_58_58 = e3) % 19.76/5.22 | (375) all_0_59_59 = e3 % 19.76/5.22 | % 19.76/5.22 | Equations (375) can reduce 378 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (308) ~ (all_0_65_65 = e1) % 19.76/5.22 | (546) all_0_66_66 = e1 % 19.76/5.22 | % 19.76/5.22 | Equations (546) can reduce 248 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (987) ~ (all_0_68_68 = e2) % 19.76/5.22 | (988) all_0_68_68 = e0 % 19.76/5.22 | % 19.76/5.22 | Equations (988) can reduce 271 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (339) ~ (all_0_57_57 = e2) % 19.76/5.22 | (991) all_0_57_57 = e1 | all_0_57_57 = e0 % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (60), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (335) all_0_57_57 = e2 % 19.76/5.22 | % 19.76/5.22 | Equations (335) can reduce 339 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (339) ~ (all_0_57_57 = e2) % 19.76/5.22 | (340) all_0_61_61 = e2 | all_0_69_69 = e2 % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (230), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (313) all_0_57_57 = e1 % 19.76/5.22 | % 19.76/5.22 | Equations (313) can reduce 635 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (635) ~ (all_0_57_57 = e1) % 19.76/5.22 | (636) all_0_61_61 = e1 | all_0_65_65 = e1 % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (636), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (523) all_0_61_61 = e1 % 19.76/5.22 | % 19.76/5.22 | Equations (523) can reduce 246 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (246) ~ (all_0_61_61 = e1) % 19.76/5.22 | (619) all_0_65_65 = e1 % 19.76/5.22 | % 19.76/5.22 | Equations (619) can reduce 101 to: % 19.76/5.22 | (328) ~ (e2 = e1) % 19.76/5.22 | % 19.76/5.22 | Simplifying 328 yields: % 19.76/5.22 | (184) ~ (e2 = e1) % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (709), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (278) all_0_60_60 = e2 % 19.76/5.22 | % 19.76/5.22 | Combining equations (647,278) yields a new equation: % 19.76/5.22 | (337) e2 = e1 % 19.76/5.22 | % 19.76/5.22 | Equations (337) can reduce 184 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (666) ~ (all_0_60_60 = e2) % 19.76/5.22 | (729) all_0_68_68 = e2 % 19.76/5.22 | % 19.76/5.22 | Equations (729) can reduce 194 to: % 19.76/5.22 | (730) ~ (all_0_69_69 = e2) % 19.76/5.22 | % 19.76/5.22 | Simplifying 730 yields: % 19.76/5.22 | (731) ~ (all_0_69_69 = e2) % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (685), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (341) all_0_61_61 = e2 % 19.76/5.22 | % 19.76/5.22 | Equations (341) can reduce 244 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (244) ~ (all_0_61_61 = e2) % 19.76/5.22 | (573) all_0_63_63 = e2 % 19.76/5.22 | % 19.76/5.22 | Equations (573) can reduce 44 to: % 19.76/5.22 | (244) ~ (all_0_61_61 = e2) % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (340), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (341) all_0_61_61 = e2 % 19.76/5.22 | % 19.76/5.22 | Equations (341) can reduce 244 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (244) ~ (all_0_61_61 = e2) % 19.76/5.22 | (344) all_0_69_69 = e2 % 19.76/5.22 | % 19.76/5.22 | Equations (344) can reduce 731 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (315) ~ (all_0_58_58 = e1) % 19.76/5.22 | (326) all_0_62_62 = e1 | all_0_66_66 = e1 % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (685), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (341) all_0_61_61 = e2 % 19.76/5.22 | % 19.76/5.22 | Equations (341) can reduce 244 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (244) ~ (all_0_61_61 = e2) % 19.76/5.22 | (573) all_0_63_63 = e2 % 19.76/5.22 | % 19.76/5.22 | Equations (573) can reduce 96 to: % 19.76/5.22 | (1029) ~ (all_0_59_59 = e2) % 19.76/5.22 | % 19.76/5.22 | Equations (573) can reduce 44 to: % 19.76/5.22 | (244) ~ (all_0_61_61 = e2) % 19.76/5.22 | % 19.76/5.22 | Equations (573) can reduce 119 to: % 19.76/5.22 | (184) ~ (e2 = e1) % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (58), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (375) all_0_59_59 = e3 % 19.76/5.22 | % 19.76/5.22 | Equations (375) can reduce 233 to: % 19.76/5.22 | (124) ~ (all_0_57_57 = e3) % 19.76/5.22 | % 19.76/5.22 | Equations (375) can reduce 28 to: % 19.76/5.22 | (296) ~ (all_0_71_71 = e3) % 19.76/5.22 | % 19.76/5.22 | Simplifying 296 yields: % 19.76/5.22 | (297) ~ (all_0_71_71 = e3) % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (709), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (278) all_0_60_60 = e2 % 19.76/5.22 | % 19.76/5.22 | Combining equations (647,278) yields a new equation: % 19.76/5.22 | (337) e2 = e1 % 19.76/5.22 | % 19.76/5.22 | Equations (337) can reduce 184 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (666) ~ (all_0_60_60 = e2) % 19.76/5.22 | (729) all_0_68_68 = e2 % 19.76/5.22 | % 19.76/5.22 | Equations (729) can reduce 194 to: % 19.76/5.22 | (730) ~ (all_0_69_69 = e2) % 19.76/5.22 | % 19.76/5.22 | Simplifying 730 yields: % 19.76/5.22 | (731) ~ (all_0_69_69 = e2) % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (60), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (335) all_0_57_57 = e2 % 19.76/5.22 | % 19.76/5.22 | Equations (335) can reduce 124 to: % 19.76/5.22 | (345) ~ (e3 = e2) % 19.76/5.22 | % 19.76/5.22 | Simplifying 345 yields: % 19.76/5.22 | (128) ~ (e3 = e2) % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (33), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (292) all_0_68_68 = e3 % 19.76/5.22 | % 19.76/5.22 | Combining equations (729,292) yields a new equation: % 19.76/5.22 | (376) e3 = e2 % 19.76/5.22 | % 19.76/5.22 | Equations (376) can reduce 128 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (645) ~ (all_0_68_68 = e3) % 19.76/5.22 | (1050) all_0_70_70 = e3 | all_0_71_71 = e3 % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (1050), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (597) all_0_70_70 = e3 % 19.76/5.22 | % 19.76/5.22 | Equations (597) can reduce 224 to: % 19.76/5.22 | (621) ~ (all_0_58_58 = e3) % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (167), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (395) all_0_58_58 = e3 % 19.76/5.22 | % 19.76/5.22 | Equations (395) can reduce 621 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (621) ~ (all_0_58_58 = e3) % 19.76/5.22 | (622) all_0_58_58 = e1 | all_0_58_58 = e0 % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (622), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (323) all_0_58_58 = e1 % 19.76/5.22 | % 19.76/5.22 | Equations (323) can reduce 315 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (315) ~ (all_0_58_58 = e1) % 19.76/5.22 | (1060) all_0_58_58 = e0 % 19.76/5.22 | % 19.76/5.22 | Equations (1060) can reduce 263 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (397) ~ (all_0_70_70 = e3) % 19.76/5.22 | (558) all_0_71_71 = e3 % 19.76/5.22 | % 19.76/5.22 | Equations (558) can reduce 297 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (339) ~ (all_0_57_57 = e2) % 19.76/5.22 | (340) all_0_61_61 = e2 | all_0_69_69 = e2 % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (340), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (341) all_0_61_61 = e2 % 19.76/5.22 | % 19.76/5.22 | Equations (341) can reduce 244 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (244) ~ (all_0_61_61 = e2) % 19.76/5.22 | (344) all_0_69_69 = e2 % 19.76/5.22 | % 19.76/5.22 | Equations (344) can reduce 731 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (378) ~ (all_0_59_59 = e3) % 19.76/5.22 | (1073) all_0_59_59 = e2 | all_0_59_59 = e0 % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (1073), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (364) all_0_59_59 = e2 % 19.76/5.22 | % 19.76/5.22 | Equations (364) can reduce 1029 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (1029) ~ (all_0_59_59 = e2) % 19.76/5.22 | (1077) all_0_59_59 = e0 % 19.76/5.22 | % 19.76/5.22 | Equations (1077) can reduce 265 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (293) ~ (all_0_64_64 = e3) % 19.76/5.22 | (305) all_0_64_64 = e1 | all_0_64_64 = e0 % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (153), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (254) all_0_56_56 = e2 % 19.76/5.22 | % 19.76/5.22 | Combining equations (254,261) yields a new equation: % 19.76/5.22 | (354) e2 = e0 % 19.76/5.22 | % 19.76/5.22 | Simplifying 354 yields: % 19.76/5.22 | (355) e2 = e0 % 19.76/5.22 | % 19.76/5.22 | Equations (355) can reduce 48 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (247) ~ (all_0_56_56 = e2) % 19.76/5.22 | (709) all_0_60_60 = e2 | all_0_68_68 = e2 % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (709), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (278) all_0_60_60 = e2 % 19.76/5.22 | % 19.76/5.22 | Combining equations (647,278) yields a new equation: % 19.76/5.22 | (337) e2 = e1 % 19.76/5.22 | % 19.76/5.22 | Equations (337) can reduce 184 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (666) ~ (all_0_60_60 = e2) % 19.76/5.22 | (729) all_0_68_68 = e2 % 19.76/5.22 | % 19.76/5.22 | Equations (729) can reduce 194 to: % 19.76/5.22 | (730) ~ (all_0_69_69 = e2) % 19.76/5.22 | % 19.76/5.22 | Simplifying 730 yields: % 19.76/5.22 | (731) ~ (all_0_69_69 = e2) % 19.76/5.22 | % 19.76/5.22 | Equations (729) can reduce 108 to: % 19.76/5.22 | (184) ~ (e2 = e1) % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (60), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (335) all_0_57_57 = e2 % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (230), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (313) all_0_57_57 = e1 % 19.76/5.22 | % 19.76/5.22 | Combining equations (313,335) yields a new equation: % 19.76/5.22 | (337) e2 = e1 % 19.76/5.22 | % 19.76/5.22 | Equations (337) can reduce 184 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (635) ~ (all_0_57_57 = e1) % 19.76/5.22 | (636) all_0_61_61 = e1 | all_0_65_65 = e1 % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (636), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (523) all_0_61_61 = e1 % 19.76/5.22 | % 19.76/5.22 | Equations (523) can reduce 246 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (246) ~ (all_0_61_61 = e1) % 19.76/5.22 | (619) all_0_65_65 = e1 % 19.76/5.22 | % 19.76/5.22 | Equations (619) can reduce 191 to: % 19.76/5.22 | (642) ~ (all_0_64_64 = e1) % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (305), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (306) all_0_64_64 = e1 % 19.76/5.22 | % 19.76/5.22 | Equations (306) can reduce 642 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (642) ~ (all_0_64_64 = e1) % 19.76/5.22 | (643) all_0_64_64 = e0 % 19.76/5.22 | % 19.76/5.22 | Equations (643) can reduce 269 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (339) ~ (all_0_57_57 = e2) % 19.76/5.22 | (340) all_0_61_61 = e2 | all_0_69_69 = e2 % 19.76/5.22 | % 19.76/5.22 +-Applying beta-rule and splitting (340), into two cases. % 19.76/5.22 |-Branch one: % 19.76/5.22 | (341) all_0_61_61 = e2 % 19.76/5.22 | % 19.76/5.22 | Equations (341) can reduce 244 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (244) ~ (all_0_61_61 = e2) % 19.76/5.22 | (344) all_0_69_69 = e2 % 19.76/5.22 | % 19.76/5.22 | Equations (344) can reduce 731 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (651) ~ (all_0_60_60 = e1) % 19.76/5.22 | (1119) all_0_60_60 = e0 % 19.76/5.22 | % 19.76/5.22 | Equations (1119) can reduce 267 to: % 19.76/5.22 | (251) $false % 19.76/5.22 | % 19.76/5.22 |-The branch is then unsatisfiable % 19.76/5.22 |-Branch two: % 19.76/5.22 | (250) all_0_56_56 = e3 % 19.76/5.22 | (512) ~ (all_0_61_61 = e4) % 19.76/5.22 | % 19.76/5.22 | Equations (250) can reduce 50 to: % 19.76/5.23 | (1123) ~ (all_0_57_57 = e3) % 19.76/5.23 | % 19.76/5.23 | Simplifying 1123 yields: % 19.76/5.23 | (124) ~ (all_0_57_57 = e3) % 19.76/5.23 | % 19.76/5.23 | Equations (250) can reduce 43 to: % 19.76/5.23 | (1125) ~ (all_0_58_58 = e3) % 19.76/5.23 | % 19.76/5.23 | Simplifying 1125 yields: % 19.76/5.23 | (621) ~ (all_0_58_58 = e3) % 19.76/5.23 | % 19.76/5.23 | Equations (250) can reduce 154 to: % 19.76/5.23 | (1127) ~ (all_0_59_59 = e3) % 19.76/5.23 | % 19.76/5.23 | Simplifying 1127 yields: % 19.76/5.23 | (378) ~ (all_0_59_59 = e3) % 19.76/5.23 | % 19.76/5.23 | Equations (250) can reduce 122 to: % 19.76/5.23 | (1129) ~ (all_0_64_64 = e3) % 19.76/5.23 | % 19.76/5.23 | Simplifying 1129 yields: % 19.76/5.23 | (293) ~ (all_0_64_64 = e3) % 19.76/5.23 | % 19.76/5.23 | Equations (250) can reduce 51 to: % 19.76/5.23 | (693) ~ (all_0_68_68 = e3) % 19.76/5.23 | % 19.76/5.23 | Simplifying 693 yields: % 19.76/5.23 | (645) ~ (all_0_68_68 = e3) % 19.76/5.23 | % 19.76/5.23 | Equations (250) can reduce 247 to: % 19.76/5.23 | (128) ~ (e3 = e2) % 19.76/5.23 | % 19.76/5.23 | Equations (250) can reduce 245 to: % 19.76/5.23 | (15) ~ (e3 = e1) % 19.76/5.23 | % 19.76/5.23 +-Applying beta-rule and splitting (78), into two cases. % 19.76/5.23 |-Branch one: % 19.76/5.23 | (509) all_0_61_61 = e4 % 19.76/5.23 | % 19.76/5.23 | Equations (509) can reduce 512 to: % 19.76/5.23 | (251) $false % 19.76/5.23 | % 19.76/5.23 |-The branch is then unsatisfiable % 19.76/5.23 |-Branch two: % 19.76/5.23 | (512) ~ (all_0_61_61 = e4) % 19.76/5.23 | (1138) all_0_61_61 = e2 | all_0_61_61 = e1 | all_0_61_61 = e0 % 19.76/5.23 | % 19.76/5.23 +-Applying beta-rule and splitting (1138), into two cases. % 19.76/5.23 |-Branch one: % 19.76/5.23 | (341) all_0_61_61 = e2 % 19.76/5.23 | % 19.76/5.23 | Equations (341) can reduce 244 to: % 19.76/5.23 | (251) $false % 19.76/5.23 | % 19.76/5.23 |-The branch is then unsatisfiable % 19.76/5.23 |-Branch two: % 19.76/5.23 | (244) ~ (all_0_61_61 = e2) % 19.76/5.23 | (1142) all_0_61_61 = e1 | all_0_61_61 = e0 % 19.76/5.23 | % 19.76/5.23 +-Applying beta-rule and splitting (1142), into two cases. % 19.76/5.23 |-Branch one: % 19.76/5.23 | (523) all_0_61_61 = e1 % 19.76/5.23 | % 19.76/5.23 | Equations (523) can reduce 246 to: % 19.76/5.23 | (251) $false % 19.76/5.23 | % 19.76/5.23 |-The branch is then unsatisfiable % 19.76/5.23 |-Branch two: % 19.76/5.23 | (246) ~ (all_0_61_61 = e1) % 19.76/5.23 | (467) all_0_61_61 = e0 % 19.76/5.23 | % 19.76/5.23 | Equations (467) can reduce 126 to: % 19.76/5.23 | (1147) ~ (all_0_57_57 = e0) % 19.76/5.23 | % 19.76/5.23 | Equations (467) can reduce 39 to: % 19.76/5.23 | (267) ~ (all_0_60_60 = e0) % 19.76/5.23 | % 19.76/5.23 | Equations (467) can reduce 189 to: % 19.76/5.23 | (1149) ~ (all_0_62_62 = e0) % 19.76/5.23 | % 19.76/5.23 | Simplifying 1149 yields: % 19.76/5.23 | (838) ~ (all_0_62_62 = e0) % 19.76/5.23 | % 19.76/5.23 | Equations (467) can reduce 44 to: % 19.76/5.23 | (1151) ~ (all_0_63_63 = e0) % 19.76/5.23 | % 19.76/5.23 | Simplifying 1151 yields: % 19.76/5.23 | (470) ~ (all_0_63_63 = e0) % 19.76/5.23 | % 19.76/5.23 | Equations (467) can reduce 176 to: % 19.76/5.23 | (1153) ~ (all_0_65_65 = e0) % 19.76/5.23 | % 19.76/5.23 | Simplifying 1153 yields: % 19.76/5.23 | (1154) ~ (all_0_65_65 = e0) % 19.76/5.23 | % 19.76/5.23 | Equations (467) can reduce 104 to: % 19.76/5.23 | (1155) ~ (all_0_69_69 = e0) % 19.76/5.23 | % 19.76/5.23 | Simplifying 1155 yields: % 19.76/5.23 | (1156) ~ (all_0_69_69 = e0) % 19.76/5.23 | % 19.76/5.23 | Equations (467) can reduce 87 to: % 19.76/5.23 | (272) ~ (e3 = e0) % 19.76/5.23 | % 19.76/5.23 | Simplifying 272 yields: % 19.76/5.23 | (36) ~ (e3 = e0) % 19.76/5.23 | % 19.76/5.23 +-Applying beta-rule and splitting (201), into two cases. % 19.76/5.23 |-Branch one: % 19.76/5.23 | (335) all_0_57_57 = e2 % 19.76/5.23 | % 19.76/5.23 | Equations (335) can reduce 233 to: % 19.76/5.23 | (1160) ~ (all_0_59_59 = e2) % 19.76/5.23 | % 19.76/5.23 | Simplifying 1160 yields: % 19.76/5.23 | (1029) ~ (all_0_59_59 = e2) % 19.76/5.23 | % 19.76/5.23 | Equations (335) can reduce 91 to: % 19.76/5.23 | (1162) ~ (all_0_65_65 = e2) % 19.76/5.23 | % 19.76/5.23 | Simplifying 1162 yields: % 19.76/5.23 | (101) ~ (all_0_65_65 = e2) % 19.76/5.23 | % 19.76/5.23 | Equations (335) can reduce 18 to: % 19.76/5.23 | (730) ~ (all_0_69_69 = e2) % 19.76/5.23 | % 19.76/5.23 | Simplifying 730 yields: % 19.76/5.23 | (731) ~ (all_0_69_69 = e2) % 19.76/5.23 | % 19.76/5.23 | From (335) and (243) follows: % 19.76/5.23 | (1166) op(e2, e4) = all_0_1_1 % 19.76/5.23 | % 19.76/5.23 | From (335) and (137) follows: % 19.76/5.23 | (1167) op(e4, e2) = all_0_36_36 % 19.76/5.23 | % 19.76/5.23 | From (335) and (67) follows: % 19.76/5.23 | (728) op(e3, e2) = all_0_35_35 % 19.76/5.23 | % 19.76/5.23 +-Applying beta-rule and splitting (3), into two cases. % 19.76/5.23 |-Branch one: % 19.76/5.23 | (478) all_0_69_69 = e4 % 19.76/5.23 | % 19.76/5.23 | From (478) and (79) follows: % 19.76/5.23 | (1170) op(e4, e1) = all_0_23_23 % 19.76/5.23 | % 19.76/5.23 | From (478) and (163) follows: % 19.76/5.23 | (1171) op(e1, e4) = all_0_41_41 % 19.76/5.23 | % 19.76/5.23 +-Applying beta-rule and splitting (58), into two cases. % 19.76/5.23 |-Branch one: % 19.76/5.23 | (375) all_0_59_59 = e3 % 19.76/5.23 | % 19.76/5.23 | Equations (375) can reduce 378 to: % 19.76/5.23 | (251) $false % 19.76/5.23 | % 19.76/5.23 |-The branch is then unsatisfiable % 19.76/5.23 |-Branch two: % 19.76/5.23 | (378) ~ (all_0_59_59 = e3) % 19.76/5.23 | (1073) all_0_59_59 = e2 | all_0_59_59 = e0 % 19.76/5.23 | % 19.76/5.23 +-Applying beta-rule and splitting (1073), into two cases. % 19.76/5.23 |-Branch one: % 19.76/5.23 | (364) all_0_59_59 = e2 % 19.76/5.23 | % 19.76/5.23 | Equations (364) can reduce 1029 to: % 19.76/5.23 | (251) $false % 19.76/5.23 | % 19.76/5.23 |-The branch is then unsatisfiable % 19.76/5.23 |-Branch two: % 19.76/5.23 | (1029) ~ (all_0_59_59 = e2) % 19.76/5.23 | (1077) all_0_59_59 = e0 % 19.76/5.23 | % 19.76/5.23 | Equations (1077) can reduce 229 to: % 19.76/5.23 | (263) ~ (all_0_58_58 = e0) % 19.76/5.23 | % 19.76/5.23 | Equations (1077) can reduce 22 to: % 19.76/5.23 | (1181) ~ (all_0_67_67 = e0) % 19.76/5.23 | % 19.76/5.23 | Simplifying 1181 yields: % 19.76/5.23 | (1182) ~ (all_0_67_67 = e0) % 19.76/5.23 | % 19.76/5.23 | Equations (1077) can reduce 378 to: % 19.76/5.23 | (272) ~ (e3 = e0) % 19.76/5.23 | % 19.76/5.23 | Simplifying 272 yields: % 19.76/5.23 | (36) ~ (e3 = e0) % 19.76/5.23 | % 19.76/5.23 | From (1077) and (25) follows: % 19.76/5.23 | (1185) op(e4, e1) = e0 % 19.76/5.23 | % 19.76/5.23 +-Applying beta-rule and splitting (144), into two cases. % 19.76/5.23 |-Branch one: % 19.76/5.23 | (258) all_0_56_56 = e1 % 19.76/5.23 | % 19.76/5.23 | Combining equations (258,250) yields a new equation: % 19.76/5.23 | (661) e3 = e1 % 19.76/5.23 | % 19.76/5.23 | Equations (661) can reduce 15 to: % 19.76/5.23 | (251) $false % 19.76/5.23 | % 19.76/5.23 |-The branch is then unsatisfiable % 19.76/5.23 |-Branch two: % 19.76/5.23 | (245) ~ (all_0_56_56 = e1) % 19.76/5.23 | (1190) all_0_57_57 = e1 | all_0_58_58 = e1 % 19.76/5.23 | % 19.76/5.23 +-Applying beta-rule and splitting (230), into two cases. % 19.76/5.23 |-Branch one: % 19.76/5.23 | (313) all_0_57_57 = e1 % 19.76/5.23 | % 19.76/5.23 | Combining equations (313,335) yields a new equation: % 19.76/5.23 | (337) e2 = e1 % 19.76/5.23 | % 19.76/5.23 | Equations (337) can reduce 184 to: % 19.76/5.23 | (251) $false % 19.76/5.23 | % 19.76/5.23 |-The branch is then unsatisfiable % 19.76/5.23 |-Branch two: % 19.76/5.23 | (635) ~ (all_0_57_57 = e1) % 19.76/5.23 | (636) all_0_61_61 = e1 | all_0_65_65 = e1 % 19.76/5.23 | % 19.76/5.23 | Equations (335) can reduce 635 to: % 19.76/5.23 | (184) ~ (e2 = e1) % 19.76/5.23 | % 19.76/5.23 +-Applying beta-rule and splitting (1190), into two cases. % 19.76/5.23 |-Branch one: % 19.76/5.23 | (313) all_0_57_57 = e1 % 19.76/5.23 | % 19.76/5.23 | Combining equations (313,335) yields a new equation: % 19.76/5.23 | (337) e2 = e1 % 19.76/5.23 | % 19.76/5.23 | Equations (337) can reduce 184 to: % 19.76/5.23 | (251) $false % 19.76/5.23 | % 19.76/5.23 |-The branch is then unsatisfiable % 19.76/5.23 |-Branch two: % 19.76/5.23 | (635) ~ (all_0_57_57 = e1) % 19.76/5.23 | (323) all_0_58_58 = e1 % 19.76/5.23 | % 19.76/5.23 | Equations (323) can reduce 224 to: % 19.76/5.23 | (716) ~ (all_0_70_70 = e1) % 19.76/5.23 | % 19.76/5.23 | Simplifying 716 yields: % 19.76/5.23 | (93) ~ (all_0_70_70 = e1) % 19.76/5.23 | % 19.76/5.23 | Equations (323) can reduce 263 to: % 19.76/5.23 | (204) ~ (e1 = e0) % 19.76/5.23 | % 19.76/5.23 | From (323) and (159) follows: % 19.76/5.23 | (1205) op(e1, e4) = all_0_3_3 % 19.76/5.23 | % 19.76/5.23 | From (323) and (31) follows: % 19.76/5.23 | (718) op(e1, e2) = all_0_4_4 % 19.76/5.23 | % 19.76/5.23 | From (323) and (90) follows: % 19.76/5.23 | (1207) op(e4, e1) = all_0_43_43 % 19.76/5.23 | % 19.76/5.23 | From (323) and (160) follows: % 19.76/5.23 | (719) op(e4, e2) = e1 % 19.76/5.23 | % 19.76/5.23 | From (323) and (192) follows: % 19.76/5.23 | (1209) op(e2, e1) = all_0_42_42 % 19.76/5.23 | % 19.76/5.23 +-Applying beta-rule and splitting (636), into two cases. % 19.76/5.23 |-Branch one: % 19.76/5.23 | (523) all_0_61_61 = e1 % 19.76/5.23 | % 19.76/5.23 | Combining equations (467,523) yields a new equation: % 19.76/5.23 | (288) e1 = e0 % 19.76/5.23 | % 19.76/5.23 | Equations (288) can reduce 204 to: % 19.76/5.23 | (251) $false % 19.76/5.23 | % 19.76/5.23 |-The branch is then unsatisfiable % 19.76/5.23 |-Branch two: % 19.76/5.23 | (246) ~ (all_0_61_61 = e1) % 19.76/5.23 | (619) all_0_65_65 = e1 % 19.76/5.23 | % 19.76/5.23 | Equations (619) can reduce 191 to: % 19.76/5.23 | (642) ~ (all_0_64_64 = e1) % 19.76/5.23 | % 19.76/5.23 | Equations (619) can reduce 75 to: % 19.76/5.23 | (736) ~ (e3 = e1) % 19.76/5.23 | % 19.76/5.23 | Simplifying 736 yields: % 19.76/5.23 | (15) ~ (e3 = e1) % 19.76/5.23 | % 19.76/5.23 | Equations (619) can reduce 101 to: % 19.76/5.23 | (328) ~ (e2 = e1) % 19.76/5.23 | % 19.76/5.23 | Simplifying 328 yields: % 19.76/5.23 | (184) ~ (e2 = e1) % 19.76/5.23 | % 19.76/5.23 | From (619) and (178) follows: % 19.76/5.23 | (739) op(e1, e2) = all_0_16_16 % 19.76/5.23 | % 19.76/5.23 | From (619) and (231) follows: % 19.76/5.23 | (741) op(e2, e1) = all_0_39_39 % 19.76/5.23 | % 19.76/5.23 +-Applying beta-rule and splitting (172), into two cases. % 19.76/5.23 |-Branch one: % 19.76/5.23 | (258) all_0_56_56 = e1 % 19.76/5.23 | % 19.76/5.23 | Combining equations (258,250) yields a new equation: % 19.76/5.23 | (661) e3 = e1 % 19.76/5.23 | % 19.76/5.23 | Equations (661) can reduce 15 to: % 19.76/5.23 | (251) $false % 19.76/5.23 | % 19.76/5.23 |-The branch is then unsatisfiable % 19.76/5.23 |-Branch two: % 19.76/5.23 | (245) ~ (all_0_56_56 = e1) % 19.76/5.23 | (291) all_0_60_60 = e1 | all_0_64_64 = e1 % 19.76/5.23 | % 19.76/5.23 +-Applying beta-rule and splitting (291), into two cases. % 19.76/5.23 |-Branch one: % 19.76/5.23 | (647) all_0_60_60 = e1 % 19.76/5.23 | % 19.76/5.23 | Equations (647) can reduce 168 to: % 19.76/5.23 | (712) ~ (all_0_62_62 = e1) % 19.76/5.23 | % 19.76/5.23 | Simplifying 712 yields: % 19.76/5.23 | (632) ~ (all_0_62_62 = e1) % 19.76/5.23 | % 19.76/5.23 | Equations (647) can reduce 267 to: % 19.76/5.23 | (204) ~ (e1 = e0) % 19.76/5.23 | % 19.76/5.23 | From (647) and (88) follows: % 19.76/5.23 | (1231) op(e1, e4) = all_0_8_8 % 19.76/5.23 | % 19.76/5.23 | From (647) and (146) follows: % 19.76/5.23 | (1232) op(e4, e1) = all_0_29_29 % 19.76/5.23 | % 19.76/5.23 +-Applying beta-rule and splitting (53), into two cases. % 19.76/5.23 |-Branch one: % 19.76/5.23 | (845) all_0_62_62 = e4 % 19.76/5.23 | % 19.76/5.23 | Equations (845) can reduce 135 to: % 19.76/5.23 | (1234) ~ (all_0_66_66 = e4) % 19.76/5.23 | % 19.76/5.23 | Simplifying 1234 yields: % 19.76/5.23 | (534) ~ (all_0_66_66 = e4) % 19.76/5.23 | % 19.76/5.23 | Equations (845) can reduce 208 to: % 19.76/5.23 | (1236) ~ (all_0_70_70 = e4) % 19.76/5.23 | % 19.76/5.23 | Simplifying 1236 yields: % 19.76/5.23 | (567) ~ (all_0_70_70 = e4) % 19.76/5.23 | % 19.76/5.23 | Equations (845) can reduce 41 to: % 19.76/5.23 | (130) ~ (e4 = e3) % 19.76/5.23 | % 19.76/5.23 | Equations (845) can reduce 632 to: % 19.76/5.23 | (193) ~ (e4 = e1) % 19.76/5.23 | % 19.76/5.23 | From (845) and (222) follows: % 19.76/5.23 | (1240) op(e4, e2) = all_0_11_11 % 19.76/5.23 | % 19.76/5.23 | From (845) and (84) follows: % 19.76/5.23 | (1241) op(e3, e2) = e4 % 19.76/5.23 | % 19.76/5.23 | From (845) and (11) follows: % 19.76/5.23 | (1242) op(e2, e4) = all_0_44_44 % 19.76/5.23 | % 19.76/5.23 +-Applying beta-rule and splitting (138), into two cases. % 19.76/5.23 |-Branch one: % 19.76/5.23 | (1243) all_0_65_65 = e4 % 19.76/5.23 | % 19.76/5.23 | Combining equations (619,1243) yields a new equation: % 19.76/5.23 | (1244) e4 = e1 % 19.76/5.23 | % 19.76/5.23 | Equations (1244) can reduce 193 to: % 19.76/5.23 | (251) $false % 19.76/5.23 | % 19.76/5.23 |-The branch is then unsatisfiable % 19.76/5.23 |-Branch two: % 19.76/5.23 | (1246) ~ (all_0_65_65 = e4) % 19.76/5.23 | (1247) all_0_66_66 = e4 | all_0_67_67 = e4 % 19.76/5.23 | % 19.76/5.23 +-Applying beta-rule and splitting (1247), into two cases. % 19.76/5.23 |-Branch one: % 19.76/5.23 | (530) all_0_66_66 = e4 % 19.76/5.23 | % 19.76/5.23 | Equations (530) can reduce 534 to: % 19.76/5.23 | (251) $false % 19.76/5.23 | % 19.76/5.23 |-The branch is then unsatisfiable % 19.76/5.23 |-Branch two: % 19.76/5.23 | (534) ~ (all_0_66_66 = e4) % 19.76/5.23 | (1251) all_0_67_67 = e4 % 19.76/5.23 | % 19.76/5.23 | Equations (1251) can reduce 1182 to: % 19.76/5.23 | (17) ~ (e4 = e0) % 19.76/5.23 | % 19.76/5.23 | From (1251) and (143) follows: % 20.16/5.23 | (1253) op(e4, e2) = all_0_19_19 % 20.16/5.23 | % 20.16/5.23 | From (1251) and (52) follows: % 20.16/5.24 | (1254) op(e4, e1) = all_0_20_20 % 20.16/5.24 | % 20.16/5.24 | From (1251) and (173) follows: % 20.16/5.24 | (1255) op(e2, e4) = all_0_54_54 % 20.16/5.24 | % 20.16/5.24 | From (1251) and (185) follows: % 20.16/5.24 | (1256) op(e2, e1) = e4 % 20.16/5.24 | % 20.16/5.24 | From (1251) and (16) follows: % 20.16/5.24 | (1257) op(e1, e4) = all_0_53_53 % 20.16/5.24 | % 20.16/5.24 +-Applying beta-rule and splitting (228), into two cases. % 20.16/5.24 |-Branch one: % 20.16/5.24 | (278) all_0_60_60 = e2 % 20.16/5.24 | % 20.16/5.24 | Combining equations (647,278) yields a new equation: % 20.16/5.24 | (337) e2 = e1 % 20.16/5.24 | % 20.16/5.24 | Equations (337) can reduce 184 to: % 20.16/5.24 | (251) $false % 20.16/5.24 | % 20.16/5.24 |-The branch is then unsatisfiable % 20.16/5.24 |-Branch two: % 20.16/5.24 | (666) ~ (all_0_60_60 = e2) % 20.16/5.24 | (685) all_0_61_61 = e2 | all_0_63_63 = e2 % 20.16/5.24 | % 20.16/5.24 +-Applying beta-rule and splitting (170), into two cases. % 20.16/5.24 |-Branch one: % 20.16/5.24 | (302) all_0_64_64 = e3 % 20.16/5.24 | % 20.16/5.24 | Equations (302) can reduce 293 to: % 20.16/5.24 | (251) $false % 20.16/5.24 | % 20.16/5.24 |-The branch is then unsatisfiable % 20.16/5.24 |-Branch two: % 20.16/5.24 | (293) ~ (all_0_64_64 = e3) % 20.16/5.24 | (1266) all_0_66_66 = e3 | all_0_67_67 = e3 % 20.16/5.24 | % 20.16/5.24 +-Applying beta-rule and splitting (1266), into two cases. % 20.16/5.24 |-Branch one: % 20.16/5.24 | (538) all_0_66_66 = e3 % 20.16/5.24 | % 20.16/5.24 | Equations (538) can reduce 82 to: % 20.16/5.24 | (396) ~ (all_0_70_70 = e3) % 20.16/5.24 | % 20.16/5.24 | Simplifying 396 yields: % 20.16/5.24 | (397) ~ (all_0_70_70 = e3) % 20.16/5.24 | % 20.16/5.24 +-Applying beta-rule and splitting (181), into two cases. % 20.16/5.24 |-Branch one: % 20.16/5.24 | (500) all_0_70_70 = e4 % 20.16/5.24 | % 20.16/5.24 | Equations (500) can reduce 567 to: % 20.16/5.24 | (251) $false % 20.16/5.24 | % 20.16/5.24 |-The branch is then unsatisfiable % 20.16/5.24 |-Branch two: % 20.16/5.24 | (567) ~ (all_0_70_70 = e4) % 20.16/5.24 | (1273) all_0_70_70 = e3 | all_0_70_70 = e0 % 20.16/5.24 | % 20.16/5.24 +-Applying beta-rule and splitting (111), into two cases. % 20.16/5.24 |-Branch one: % 20.16/5.24 | (643) all_0_64_64 = e0 % 20.16/5.24 | % 20.16/5.24 | Equations (643) can reduce 155 to: % 20.16/5.24 | (270) ~ (all_0_68_68 = e0) % 20.16/5.24 | % 20.16/5.24 | Simplifying 270 yields: % 20.16/5.24 | (271) ~ (all_0_68_68 = e0) % 20.16/5.24 | % 20.16/5.24 | From (643) and (195) follows: % 20.16/5.24 | (1277) op(e2, e4) = e0 % 20.16/5.24 | % 20.16/5.24 +-Applying beta-rule and splitting (239), into two cases. % 20.16/5.24 |-Branch one: % 20.16/5.24 | (292) all_0_68_68 = e3 % 20.16/5.24 | % 20.16/5.24 | Equations (292) can reduce 645 to: % 20.16/5.24 | (251) $false % 20.16/5.24 | % 20.16/5.24 |-The branch is then unsatisfiable % 20.16/5.24 |-Branch two: % 20.16/5.24 | (645) ~ (all_0_68_68 = e3) % 20.16/5.24 | (646) all_0_68_68 = e2 | all_0_68_68 = e0 % 20.16/5.24 | % 20.16/5.24 +-Applying beta-rule and splitting (646), into two cases. % 20.16/5.24 |-Branch one: % 20.16/5.24 | (729) all_0_68_68 = e2 % 20.16/5.24 | % 20.16/5.24 | Equations (729) can reduce 205 to: % 20.16/5.24 | (1283) ~ (all_0_70_70 = e2) % 20.16/5.24 | % 20.16/5.24 | Simplifying 1283 yields: % 20.16/5.24 | (7) ~ (all_0_70_70 = e2) % 20.16/5.24 | % 20.16/5.24 | Equations (729) can reduce 645 to: % 20.16/5.24 | (345) ~ (e3 = e2) % 20.16/5.24 | % 20.16/5.24 | Simplifying 345 yields: % 20.16/5.24 | (128) ~ (e3 = e2) % 20.16/5.24 | % 20.16/5.24 | Equations (729) can reduce 271 to: % 20.16/5.24 | (48) ~ (e2 = e0) % 20.16/5.24 | % 20.16/5.24 | From (729) and (240) follows: % 20.16/5.24 | (1288) op(e2, e4) = all_0_22_22 % 20.16/5.24 | % 20.16/5.24 | From (729) and (113) follows: % 20.16/5.24 | (732) op(e2, e1) = all_0_21_21 % 20.16/5.24 | % 20.16/5.24 | From (729) and (190) follows: % 20.16/5.24 | (733) op(e4, e2) = all_0_33_33 % 20.16/5.24 | % 20.16/5.24 | From (729) and (223) follows: % 20.16/5.24 | (734) op(e1, e2) = all_0_34_34 % 20.16/5.24 | % 20.16/5.24 | From (729) and (37) follows: % 20.16/5.24 | (1292) op(e1, e4) = e2 % 20.16/5.24 | % 20.16/5.24 +-Applying beta-rule and splitting (33), into two cases. % 20.16/5.24 |-Branch one: % 20.16/5.24 | (292) all_0_68_68 = e3 % 20.16/5.24 | % 20.16/5.24 | Combining equations (729,292) yields a new equation: % 20.16/5.24 | (376) e3 = e2 % 20.16/5.24 | % 20.16/5.24 | Equations (376) can reduce 128 to: % 20.16/5.24 | (251) $false % 20.16/5.24 | % 20.16/5.24 |-The branch is then unsatisfiable % 20.16/5.24 |-Branch two: % 20.16/5.24 | (645) ~ (all_0_68_68 = e3) % 20.16/5.24 | (1050) all_0_70_70 = e3 | all_0_71_71 = e3 % 20.16/5.24 | % 20.16/5.24 +-Applying beta-rule and splitting (147), into two cases. % 20.16/5.24 |-Branch one: % 20.16/5.24 | (364) all_0_59_59 = e2 % 20.16/5.24 | % 20.16/5.24 | Combining equations (364,1077) yields a new equation: % 20.16/5.24 | (354) e2 = e0 % 20.16/5.24 | % 20.16/5.24 | Simplifying 354 yields: % 20.16/5.24 | (355) e2 = e0 % 20.16/5.24 | % 20.16/5.24 | Equations (355) can reduce 48 to: % 20.16/5.24 | (251) $false % 20.16/5.24 | % 20.16/5.24 |-The branch is then unsatisfiable % 20.16/5.24 |-Branch two: % 20.16/5.24 | (1029) ~ (all_0_59_59 = e2) % 20.16/5.24 | (1303) all_0_63_63 = e2 | all_0_71_71 = e2 % 20.16/5.24 | % 20.16/5.24 | Equations (1077) can reduce 1029 to: % 20.16/5.24 | (274) ~ (e2 = e0) % 20.16/5.24 | % 20.16/5.24 | Simplifying 274 yields: % 20.16/5.24 | (48) ~ (e2 = e0) % 20.16/5.24 | % 20.16/5.24 +-Applying beta-rule and splitting (1050), into two cases. % 20.16/5.24 |-Branch one: % 20.16/5.24 | (597) all_0_70_70 = e3 % 20.16/5.24 | % 20.16/5.24 | Equations (597) can reduce 397 to: % 20.16/5.24 | (251) $false % 20.16/5.24 | % 20.16/5.24 |-The branch is then unsatisfiable % 20.16/5.24 |-Branch two: % 20.16/5.24 | (397) ~ (all_0_70_70 = e3) % 20.16/5.24 | (558) all_0_71_71 = e3 % 20.16/5.24 | % 20.16/5.24 | Equations (558) can reduce 94 to: % 20.16/5.24 | (397) ~ (all_0_70_70 = e3) % 20.16/5.24 | % 20.16/5.24 | Equations (558) can reduce 200 to: % 20.16/5.24 | (15) ~ (e3 = e1) % 20.16/5.24 | % 20.16/5.24 +-Applying beta-rule and splitting (685), into two cases. % 20.16/5.24 |-Branch one: % 20.16/5.24 | (341) all_0_61_61 = e2 % 20.16/5.24 | % 20.16/5.24 | Combining equations (341,467) yields a new equation: % 20.16/5.24 | (354) e2 = e0 % 20.16/5.24 | % 20.16/5.24 | Simplifying 354 yields: % 20.16/5.24 | (355) e2 = e0 % 20.16/5.24 | % 20.16/5.24 | Equations (355) can reduce 48 to: % 20.16/5.24 | (251) $false % 20.16/5.24 | % 20.16/5.24 |-The branch is then unsatisfiable % 20.16/5.24 |-Branch two: % 20.16/5.24 | (244) ~ (all_0_61_61 = e2) % 20.16/5.24 | (573) all_0_63_63 = e2 % 20.16/5.24 | % 20.16/5.24 | From (573) and (13) follows: % 20.16/5.24 | (750) op(e2, e1) = all_0_13_13 % 20.16/5.24 | % 20.16/5.24 | From (573) and (65) follows: % 20.16/5.24 | (753) op(e1, e2) = all_0_51_51 % 20.16/5.24 | % 20.16/5.24 +-Applying beta-rule and splitting (1273), into two cases. % 20.16/5.24 |-Branch one: % 20.16/5.24 | (597) all_0_70_70 = e3 % 20.16/5.24 | % 20.16/5.24 | Equations (597) can reduce 397 to: % 20.16/5.24 | (251) $false % 20.16/5.24 | % 20.16/5.24 |-The branch is then unsatisfiable % 20.16/5.24 |-Branch two: % 20.16/5.24 | (397) ~ (all_0_70_70 = e3) % 20.16/5.24 | (1323) all_0_70_70 = e0 % 20.16/5.24 | % 20.16/5.24 | Equations (1323) can reduce 567 to: % 20.16/5.24 | (514) ~ (e4 = e0) % 20.16/5.24 | % 20.16/5.24 | Simplifying 514 yields: % 20.16/5.24 | (17) ~ (e4 = e0) % 20.16/5.24 | % 20.16/5.24 | Equations (1323) can reduce 397 to: % 20.16/5.24 | (272) ~ (e3 = e0) % 20.16/5.24 | % 20.16/5.24 | Simplifying 272 yields: % 20.16/5.24 | (36) ~ (e3 = e0) % 20.16/5.24 | % 20.16/5.24 | Equations (1323) can reduce 7 to: % 20.16/5.24 | (274) ~ (e2 = e0) % 20.16/5.24 | % 20.16/5.24 | Simplifying 274 yields: % 20.16/5.24 | (48) ~ (e2 = e0) % 20.16/5.24 | % 20.16/5.24 | Equations (1323) can reduce 93 to: % 20.16/5.24 | (276) ~ (e1 = e0) % 20.16/5.24 | % 20.16/5.24 | Simplifying 276 yields: % 20.16/5.24 | (204) ~ (e1 = e0) % 20.16/5.24 | % 20.16/5.24 | From (1323) and (81) follows: % 20.16/5.24 | (1332) op(e1, e2) = e0 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e4, e2, all_0_19_19, all_0_11_11 and discharging atoms op(e4, e2) = all_0_11_11, op(e4, e2) = all_0_19_19, yields: % 20.16/5.24 | (1333) all_0_11_11 = all_0_19_19 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e4, e2, all_0_33_33, all_0_11_11 and discharging atoms op(e4, e2) = all_0_11_11, op(e4, e2) = all_0_33_33, yields: % 20.16/5.24 | (1334) all_0_11_11 = all_0_33_33 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e4, e2, all_0_36_36, all_0_11_11 and discharging atoms op(e4, e2) = all_0_11_11, op(e4, e2) = all_0_36_36, yields: % 20.16/5.24 | (1335) all_0_11_11 = all_0_36_36 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e4, e2, e1, all_0_33_33 and discharging atoms op(e4, e2) = all_0_33_33, op(e4, e2) = e1, yields: % 20.16/5.24 | (400) all_0_33_33 = e1 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e4, e1, all_0_23_23, all_0_20_20 and discharging atoms op(e4, e1) = all_0_20_20, op(e4, e1) = all_0_23_23, yields: % 20.16/5.24 | (1337) all_0_20_20 = all_0_23_23 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e4, e1, all_0_29_29, all_0_20_20 and discharging atoms op(e4, e1) = all_0_20_20, op(e4, e1) = all_0_29_29, yields: % 20.16/5.24 | (1338) all_0_20_20 = all_0_29_29 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e4, e1, all_0_43_43, all_0_23_23 and discharging atoms op(e4, e1) = all_0_23_23, op(e4, e1) = all_0_43_43, yields: % 20.16/5.24 | (1339) all_0_23_23 = all_0_43_43 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e4, e1, e0, all_0_23_23 and discharging atoms op(e4, e1) = all_0_23_23, op(e4, e1) = e0, yields: % 20.16/5.24 | (1340) all_0_23_23 = e0 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e3, e2, e4, all_0_35_35 and discharging atoms op(e3, e2) = all_0_35_35, op(e3, e2) = e4, yields: % 20.16/5.24 | (1341) all_0_35_35 = e4 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e2, e4, all_0_22_22, all_0_1_1 and discharging atoms op(e2, e4) = all_0_1_1, op(e2, e4) = all_0_22_22, yields: % 20.16/5.24 | (1342) all_0_1_1 = all_0_22_22 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e2, e4, all_0_44_44, all_0_22_22 and discharging atoms op(e2, e4) = all_0_22_22, op(e2, e4) = all_0_44_44, yields: % 20.16/5.24 | (1343) all_0_22_22 = all_0_44_44 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e2, e4, all_0_54_54, all_0_1_1 and discharging atoms op(e2, e4) = all_0_1_1, op(e2, e4) = all_0_54_54, yields: % 20.16/5.24 | (1344) all_0_1_1 = all_0_54_54 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e2, e4, e0, all_0_22_22 and discharging atoms op(e2, e4) = all_0_22_22, op(e2, e4) = e0, yields: % 20.16/5.24 | (1345) all_0_22_22 = e0 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e2, e1, all_0_21_21, all_0_13_13 and discharging atoms op(e2, e1) = all_0_13_13, op(e2, e1) = all_0_21_21, yields: % 20.16/5.24 | (791) all_0_13_13 = all_0_21_21 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e2, e1, all_0_39_39, all_0_21_21 and discharging atoms op(e2, e1) = all_0_21_21, op(e2, e1) = all_0_39_39, yields: % 20.16/5.24 | (792) all_0_21_21 = all_0_39_39 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e2, e1, all_0_42_42, all_0_39_39 and discharging atoms op(e2, e1) = all_0_39_39, op(e2, e1) = all_0_42_42, yields: % 20.16/5.24 | (1348) all_0_39_39 = all_0_42_42 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e2, e1, e4, all_0_13_13 and discharging atoms op(e2, e1) = all_0_13_13, op(e2, e1) = e4, yields: % 20.16/5.24 | (1349) all_0_13_13 = e4 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e1, e4, all_0_8_8, all_0_3_3 and discharging atoms op(e1, e4) = all_0_3_3, op(e1, e4) = all_0_8_8, yields: % 20.16/5.24 | (1350) all_0_3_3 = all_0_8_8 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e1, e4, all_0_41_41, all_0_3_3 and discharging atoms op(e1, e4) = all_0_3_3, op(e1, e4) = all_0_41_41, yields: % 20.16/5.24 | (1351) all_0_3_3 = all_0_41_41 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e1, e4, all_0_53_53, all_0_8_8 and discharging atoms op(e1, e4) = all_0_8_8, op(e1, e4) = all_0_53_53, yields: % 20.16/5.24 | (1352) all_0_8_8 = all_0_53_53 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e1, e4, e2, all_0_8_8 and discharging atoms op(e1, e4) = all_0_8_8, op(e1, e4) = e2, yields: % 20.16/5.24 | (1353) all_0_8_8 = e2 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e1, e2, all_0_16_16, all_0_4_4 and discharging atoms op(e1, e2) = all_0_4_4, op(e1, e2) = all_0_16_16, yields: % 20.16/5.24 | (796) all_0_4_4 = all_0_16_16 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e1, e2, all_0_34_34, all_0_4_4 and discharging atoms op(e1, e2) = all_0_4_4, op(e1, e2) = all_0_34_34, yields: % 20.16/5.24 | (1355) all_0_4_4 = all_0_34_34 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e1, e2, all_0_51_51, all_0_34_34 and discharging atoms op(e1, e2) = all_0_34_34, op(e1, e2) = all_0_51_51, yields: % 20.16/5.24 | (815) all_0_34_34 = all_0_51_51 % 20.16/5.24 | % 20.16/5.24 | Instantiating formula (61) with e1, e2, e0, all_0_4_4 and discharging atoms op(e1, e2) = all_0_4_4, op(e1, e2) = e0, yields: % 20.16/5.24 | (1357) all_0_4_4 = e0 % 20.16/5.24 | % 20.16/5.25 | Combining equations (1342,1344) yields a new equation: % 20.16/5.25 | (1358) all_0_22_22 = all_0_54_54 % 20.16/5.25 | % 20.16/5.25 | Simplifying 1358 yields: % 20.16/5.25 | (1359) all_0_22_22 = all_0_54_54 % 20.16/5.25 | % 20.16/5.25 | Combining equations (1350,1351) yields a new equation: % 20.16/5.25 | (1360) all_0_8_8 = all_0_41_41 % 20.16/5.25 | % 20.16/5.25 | Simplifying 1360 yields: % 20.16/5.25 | (1361) all_0_8_8 = all_0_41_41 % 20.16/5.25 | % 20.16/5.25 | Combining equations (1357,796) yields a new equation: % 20.16/5.25 | (1362) all_0_16_16 = e0 % 20.16/5.25 | % 20.16/5.25 | Combining equations (1355,796) yields a new equation: % 20.16/5.25 | (797) all_0_16_16 = all_0_34_34 % 20.16/5.25 | % 20.16/5.25 | Combining equations (1353,1361) yields a new equation: % 20.16/5.25 | (1364) all_0_41_41 = e2 % 20.16/5.25 | % 20.16/5.25 | Combining equations (1352,1361) yields a new equation: % 20.16/5.25 | (1365) all_0_41_41 = all_0_53_53 % 20.16/5.25 | % 20.16/5.25 | Combining equations (1335,1333) yields a new equation: % 20.16/5.25 | (1366) all_0_19_19 = all_0_36_36 % 20.16/5.25 | % 20.16/5.25 | Combining equations (1334,1333) yields a new equation: % 20.16/5.25 | (1367) all_0_19_19 = all_0_33_33 % 20.16/5.25 | % 20.16/5.25 | Combining equations (791,1349) yields a new equation: % 20.16/5.25 | (1368) all_0_21_21 = e4 % 20.16/5.25 | % 20.16/5.25 | Simplifying 1368 yields: % 20.16/5.25 | (1369) all_0_21_21 = e4 % 20.16/5.25 | % 20.16/5.25 | Combining equations (797,1362) yields a new equation: % 20.16/5.25 | (1370) all_0_34_34 = e0 % 20.16/5.25 | % 20.16/5.25 | Simplifying 1370 yields: % 20.16/5.25 | (1371) all_0_34_34 = e0 % 20.16/5.25 | % 20.16/5.25 | Combining equations (1367,1366) yields a new equation: % 20.16/5.25 | (1372) all_0_33_33 = all_0_36_36 % 20.16/5.25 | % 20.16/5.25 | Simplifying 1372 yields: % 20.16/5.25 | (1373) all_0_33_33 = all_0_36_36 % 20.16/5.25 | % 20.16/5.25 | Combining equations (1337,1338) yields a new equation: % 20.16/5.25 | (1374) all_0_23_23 = all_0_29_29 % 20.16/5.25 | % 20.16/5.25 | Simplifying 1374 yields: % 20.16/5.25 | (1375) all_0_23_23 = all_0_29_29 % 20.16/5.25 | % 20.16/5.25 | Combining equations (792,1369) yields a new equation: % 20.16/5.25 | (1376) all_0_39_39 = e4 % 20.16/5.25 | % 20.16/5.25 | Simplifying 1376 yields: % 20.16/5.25 | (1377) all_0_39_39 = e4 % 20.16/5.25 | % 20.16/5.25 | Combining equations (1345,1343) yields a new equation: % 20.16/5.25 | (1378) all_0_44_44 = e0 % 20.16/5.25 | % 20.16/5.25 | Combining equations (1359,1343) yields a new equation: % 20.16/5.25 | (1379) all_0_44_44 = all_0_54_54 % 20.16/5.25 | % 20.16/5.25 | Combining equations (1339,1375) yields a new equation: % 20.16/5.25 | (1380) all_0_29_29 = all_0_43_43 % 20.16/5.25 | % 20.16/5.25 | Combining equations (1340,1375) yields a new equation: % 20.16/5.25 | (1381) all_0_29_29 = e0 % 20.16/5.25 | % 20.16/5.25 | Combining equations (1381,1380) yields a new equation: % 20.16/5.25 | (1382) all_0_43_43 = e0 % 20.16/5.25 | % 20.16/5.25 | Combining equations (400,1373) yields a new equation: % 20.16/5.25 | (1383) all_0_36_36 = e1 % 20.16/5.25 | % 20.16/5.25 | Combining equations (1371,815) yields a new equation: % 20.16/5.25 | (1384) all_0_51_51 = e0 % 20.16/5.25 | % 20.16/5.25 | Combining equations (1348,1377) yields a new equation: % 20.16/5.25 | (1385) all_0_42_42 = e4 % 20.16/5.25 | % 20.16/5.25 | Simplifying 1385 yields: % 20.16/5.25 | (1386) all_0_42_42 = e4 % 20.16/5.25 | % 20.16/5.25 | Combining equations (1364,1365) yields a new equation: % 20.16/5.25 | (456) all_0_53_53 = e2 % 20.16/5.25 | % 20.16/5.25 | Combining equations (1378,1379) yields a new equation: % 20.16/5.25 | (1388) all_0_54_54 = e0 % 20.16/5.25 | % 20.16/5.25 | Combining equations (1384,815) yields a new equation: % 20.16/5.25 | (1371) all_0_34_34 = e0 % 20.16/5.25 | % 20.16/5.25 | Combining equations (1383,1373) yields a new equation: % 20.16/5.25 | (400) all_0_33_33 = e1 % 20.16/5.25 | % 20.16/5.25 +-Applying beta-rule and splitting (183), into two cases. % 20.16/5.25 |-Branch one: % 20.16/5.25 | (462) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) | (( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3)) | (( ~ (all_0_42_42 = e4) | all_0_43_43 = e2) & ( ~ (all_0_44_44 = e3) | all_0_45_45 = e2) & ( ~ (all_0_47_47 = e1) | all_0_48_48 = e2)) % 20.16/5.25 | % 20.16/5.25 +-Applying beta-rule and splitting (462), into two cases. % 20.16/5.25 |-Branch one: % 20.16/5.25 | (463) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) | (( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3)) % 20.16/5.25 | % 20.16/5.25 +-Applying beta-rule and splitting (463), into two cases. % 20.16/5.25 |-Branch one: % 20.16/5.25 | (464) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) % 20.16/5.25 | % 20.16/5.25 +-Applying beta-rule and splitting (464), into two cases. % 20.16/5.25 |-Branch one: % 20.16/5.25 | (465) all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0 % 20.16/5.25 | % 20.16/5.25 | Applying alpha-rule on (465) yields: % 20.16/5.25 | (261) all_0_56_56 = e0 % 20.16/5.25 | (467) all_0_61_61 = e0 % 20.16/5.25 | (468) all_0_66_66 = e0 % 20.16/5.25 | (469) all_0_71_71 = e0 % 20.16/5.25 | % 20.16/5.25 | Combining equations (469,558) yields a new equation: % 20.16/5.25 | (391) e3 = e0 % 20.16/5.25 | % 20.16/5.25 | Equations (391) can reduce 36 to: % 20.16/5.25 | (251) $false % 20.16/5.25 | % 20.16/5.25 |-The branch is then unsatisfiable % 20.16/5.25 |-Branch two: % 20.16/5.25 | (578) ( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4) % 20.16/5.25 | % 20.16/5.25 | Applying alpha-rule on (578) yields: % 20.16/5.25 | (579) ~ (all_0_29_29 = e3) | all_0_30_30 = e4 % 20.16/5.25 | (580) ~ (all_0_31_31 = e2) | all_0_32_32 = e4 % 20.16/5.25 | (581) ~ (all_0_33_33 = e1) | all_0_34_34 = e4 % 20.16/5.25 | % 20.16/5.25 +-Applying beta-rule and splitting (581), into two cases. % 20.16/5.25 |-Branch one: % 20.16/5.25 | (582) ~ (all_0_33_33 = e1) % 20.16/5.25 | % 20.16/5.25 | Equations (400) can reduce 582 to: % 20.16/5.25 | (251) $false % 20.16/5.25 | % 20.16/5.25 |-The branch is then unsatisfiable % 20.16/5.25 |-Branch two: % 20.16/5.25 | (400) all_0_33_33 = e1 % 20.16/5.25 | (585) all_0_34_34 = e4 % 20.16/5.25 | % 20.16/5.25 | Combining equations (1371,585) yields a new equation: % 20.16/5.25 | (510) e4 = e0 % 20.16/5.25 | % 20.16/5.25 | Equations (510) can reduce 17 to: % 20.16/5.25 | (251) $false % 20.16/5.25 | % 20.16/5.25 |-The branch is then unsatisfiable % 20.16/5.25 |-Branch two: % 20.16/5.25 | (588) ( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3) % 20.16/5.25 | % 20.16/5.25 | Applying alpha-rule on (588) yields: % 20.16/5.25 | (589) ~ (all_0_35_35 = e4) | all_0_36_36 = e3 % 20.16/5.25 | (590) ~ (all_0_38_38 = e2) | all_0_39_39 = e3 % 20.16/5.25 | (591) ~ (all_0_40_40 = e1) | all_0_41_41 = e3 % 20.16/5.25 | % 20.16/5.25 +-Applying beta-rule and splitting (589), into two cases. % 20.16/5.25 |-Branch one: % 20.16/5.25 | (1415) ~ (all_0_35_35 = e4) % 20.16/5.25 | % 20.16/5.25 | Equations (1341) can reduce 1415 to: % 20.16/5.25 | (251) $false % 20.16/5.25 | % 20.16/5.25 |-The branch is then unsatisfiable % 20.16/5.25 |-Branch two: % 20.16/5.25 | (1341) all_0_35_35 = e4 % 20.16/5.25 | (1418) all_0_36_36 = e3 % 20.16/5.25 | % 20.16/5.25 | Combining equations (1418,1383) yields a new equation: % 20.16/5.25 | (660) e3 = e1 % 20.16/5.25 | % 20.16/5.25 | Simplifying 660 yields: % 20.16/5.25 | (661) e3 = e1 % 20.16/5.25 | % 20.16/5.25 | Equations (661) can reduce 15 to: % 20.16/5.25 | (251) $false % 20.16/5.25 | % 20.16/5.25 |-The branch is then unsatisfiable % 20.16/5.25 |-Branch two: % 20.16/5.25 | (599) ( ~ (all_0_42_42 = e4) | all_0_43_43 = e2) & ( ~ (all_0_44_44 = e3) | all_0_45_45 = e2) & ( ~ (all_0_47_47 = e1) | all_0_48_48 = e2) % 20.16/5.25 | % 20.16/5.25 | Applying alpha-rule on (599) yields: % 20.16/5.25 | (600) ~ (all_0_42_42 = e4) | all_0_43_43 = e2 % 20.16/5.25 | (601) ~ (all_0_44_44 = e3) | all_0_45_45 = e2 % 20.16/5.25 | (602) ~ (all_0_47_47 = e1) | all_0_48_48 = e2 % 20.16/5.25 | % 20.16/5.25 +-Applying beta-rule and splitting (600), into two cases. % 20.16/5.25 |-Branch one: % 20.16/5.25 | (1426) ~ (all_0_42_42 = e4) % 20.16/5.25 | % 20.16/5.25 | Equations (1386) can reduce 1426 to: % 20.16/5.25 | (251) $false % 20.16/5.25 | % 20.16/5.25 |-The branch is then unsatisfiable % 20.16/5.25 |-Branch two: % 20.16/5.25 | (1386) all_0_42_42 = e4 % 20.16/5.25 | (1429) all_0_43_43 = e2 % 20.16/5.25 | % 20.16/5.25 | Combining equations (1429,1382) yields a new equation: % 20.16/5.25 | (354) e2 = e0 % 20.16/5.25 | % 20.16/5.25 | Simplifying 354 yields: % 20.16/5.25 | (355) e2 = e0 % 20.16/5.25 | % 20.16/5.25 | Equations (355) can reduce 48 to: % 20.16/5.25 | (251) $false % 20.16/5.25 | % 20.16/5.25 |-The branch is then unsatisfiable % 20.16/5.25 |-Branch two: % 20.16/5.25 | (610) ( ~ (all_0_49_49 = e4) | all_0_50_50 = e1) & ( ~ (all_0_51_51 = e3) | all_0_52_52 = e1) & ( ~ (all_0_53_53 = e2) | all_0_54_54 = e1) % 20.16/5.25 | % 20.16/5.25 | Applying alpha-rule on (610) yields: % 20.16/5.25 | (611) ~ (all_0_49_49 = e4) | all_0_50_50 = e1 % 20.16/5.25 | (612) ~ (all_0_51_51 = e3) | all_0_52_52 = e1 % 20.16/5.25 | (613) ~ (all_0_53_53 = e2) | all_0_54_54 = e1 % 20.16/5.25 | % 20.16/5.25 +-Applying beta-rule and splitting (613), into two cases. % 20.16/5.25 |-Branch one: % 20.16/5.25 | (614) ~ (all_0_53_53 = e2) % 20.16/5.25 | % 20.16/5.25 | Equations (456) can reduce 614 to: % 20.16/5.25 | (251) $false % 20.16/5.25 | % 20.16/5.25 |-The branch is then unsatisfiable % 20.16/5.25 |-Branch two: % 20.16/5.25 | (456) all_0_53_53 = e2 % 20.16/5.25 | (617) all_0_54_54 = e1 % 20.16/5.25 | % 20.16/5.25 | Combining equations (1388,617) yields a new equation: % 20.16/5.25 | (288) e1 = e0 % 20.16/5.25 | % 20.16/5.25 | Equations (288) can reduce 204 to: % 20.16/5.25 | (251) $false % 20.16/5.25 | % 20.16/5.25 |-The branch is then unsatisfiable % 20.16/5.25 |-Branch two: % 20.16/5.25 | (987) ~ (all_0_68_68 = e2) % 20.16/5.25 | (988) all_0_68_68 = e0 % 20.16/5.25 | % 20.16/5.25 | Equations (988) can reduce 271 to: % 20.16/5.25 | (251) $false % 20.16/5.25 | % 20.16/5.25 |-The branch is then unsatisfiable % 20.16/5.25 |-Branch two: % 20.16/5.25 | (269) ~ (all_0_64_64 = e0) % 20.16/5.25 | (1447) all_0_65_65 = e0 | all_0_66_66 = e0 | all_0_67_67 = e0 % 20.16/5.26 | % 20.16/5.26 +-Applying beta-rule and splitting (1447), into two cases. % 20.16/5.26 |-Branch one: % 20.16/5.26 | (1448) all_0_65_65 = e0 % 20.16/5.26 | % 20.16/5.26 | Combining equations (619,1448) yields a new equation: % 20.16/5.26 | (287) e1 = e0 % 20.16/5.26 | % 20.16/5.26 | Simplifying 287 yields: % 20.16/5.26 | (288) e1 = e0 % 20.16/5.26 | % 20.16/5.26 | Equations (288) can reduce 204 to: % 20.16/5.26 | (251) $false % 20.16/5.26 | % 20.16/5.26 |-The branch is then unsatisfiable % 20.16/5.26 |-Branch two: % 20.16/5.26 | (1154) ~ (all_0_65_65 = e0) % 20.16/5.26 | (1453) all_0_66_66 = e0 | all_0_67_67 = e0 % 20.16/5.26 | % 20.16/5.26 +-Applying beta-rule and splitting (1453), into two cases. % 20.16/5.26 |-Branch one: % 20.16/5.26 | (468) all_0_66_66 = e0 % 20.16/5.26 | % 20.16/5.26 | Combining equations (468,538) yields a new equation: % 20.16/5.26 | (391) e3 = e0 % 20.16/5.26 | % 20.16/5.26 | Equations (391) can reduce 36 to: % 20.16/5.26 | (251) $false % 20.16/5.26 | % 20.16/5.26 |-The branch is then unsatisfiable % 20.16/5.26 |-Branch two: % 20.16/5.26 | (1457) ~ (all_0_66_66 = e0) % 20.16/5.26 | (1458) all_0_67_67 = e0 % 20.16/5.26 | % 20.16/5.26 | Combining equations (1458,1251) yields a new equation: % 20.16/5.26 | (510) e4 = e0 % 20.16/5.26 | % 20.16/5.26 | Equations (510) can reduce 17 to: % 20.16/5.26 | (251) $false % 20.16/5.26 | % 20.16/5.26 |-The branch is then unsatisfiable % 20.16/5.26 |-Branch two: % 20.16/5.26 | (542) ~ (all_0_66_66 = e3) % 20.16/5.26 | (380) all_0_67_67 = e3 % 20.16/5.26 | % 20.16/5.26 | Combining equations (1251,380) yields a new equation: % 20.16/5.26 | (1463) e4 = e3 % 20.16/5.26 | % 20.16/5.26 | Simplifying 1463 yields: % 20.16/5.26 | (935) e4 = e3 % 20.16/5.26 | % 20.16/5.26 | Equations (935) can reduce 130 to: % 20.16/5.26 | (251) $false % 20.16/5.26 | % 20.16/5.26 |-The branch is then unsatisfiable % 20.16/5.26 |-Branch two: % 20.16/5.26 | (920) ~ (all_0_62_62 = e4) % 20.16/5.26 | (921) all_0_62_62 = e1 | all_0_62_62 = e0 % 20.16/5.26 | % 20.16/5.26 +-Applying beta-rule and splitting (921), into two cases. % 20.16/5.26 |-Branch one: % 20.16/5.26 | (327) all_0_62_62 = e1 % 20.16/5.26 | % 20.16/5.26 | Equations (327) can reduce 632 to: % 20.16/5.26 | (251) $false % 20.16/5.26 | % 20.16/5.26 |-The branch is then unsatisfiable % 20.16/5.26 |-Branch two: % 20.16/5.26 | (632) ~ (all_0_62_62 = e1) % 20.16/5.26 | (925) all_0_62_62 = e0 % 20.16/5.26 | % 20.16/5.26 | Equations (925) can reduce 838 to: % 20.16/5.26 | (251) $false % 20.16/5.26 | % 20.16/5.26 |-The branch is then unsatisfiable % 20.16/5.26 |-Branch two: % 20.16/5.26 | (651) ~ (all_0_60_60 = e1) % 20.16/5.26 | (306) all_0_64_64 = e1 % 20.16/5.26 | % 20.16/5.26 | Equations (306) can reduce 642 to: % 20.16/5.26 | (251) $false % 20.16/5.26 | % 20.16/5.26 |-The branch is then unsatisfiable % 20.16/5.26 |-Branch two: % 20.16/5.26 | (482) ~ (all_0_69_69 = e4) % 20.16/5.26 | (1477) all_0_69_69 = e2 | all_0_69_69 = e0 % 20.16/5.26 | % 20.16/5.26 +-Applying beta-rule and splitting (1477), into two cases. % 20.16/5.26 |-Branch one: % 20.16/5.26 | (344) all_0_69_69 = e2 % 20.16/5.26 | % 20.16/5.26 | Equations (344) can reduce 731 to: % 20.16/5.26 | (251) $false % 20.16/5.26 | % 20.16/5.26 |-The branch is then unsatisfiable % 20.16/5.26 |-Branch two: % 20.16/5.26 | (731) ~ (all_0_69_69 = e2) % 20.16/5.26 | (1481) all_0_69_69 = e0 % 20.16/5.26 | % 20.16/5.26 | Equations (1481) can reduce 1156 to: % 20.16/5.26 | (251) $false % 20.16/5.26 | % 20.16/5.26 |-The branch is then unsatisfiable % 20.16/5.26 |-Branch two: % 20.16/5.26 | (339) ~ (all_0_57_57 = e2) % 20.16/5.26 | (991) all_0_57_57 = e1 | all_0_57_57 = e0 % 20.16/5.26 | % 20.16/5.26 +-Applying beta-rule and splitting (991), into two cases. % 20.16/5.26 |-Branch one: % 20.16/5.26 | (313) all_0_57_57 = e1 % 20.16/5.26 | % 20.16/5.26 | Equations (313) can reduce 71 to: % 20.16/5.26 | (314) ~ (all_0_58_58 = e1) % 20.16/5.26 | % 20.16/5.26 | Simplifying 314 yields: % 20.16/5.26 | (315) ~ (all_0_58_58 = e1) % 20.16/5.26 | % 20.16/5.26 | Equations (313) can reduce 124 to: % 20.16/5.26 | (736) ~ (e3 = e1) % 20.16/5.26 | % 20.16/5.26 | Simplifying 736 yields: % 20.16/5.26 | (15) ~ (e3 = e1) % 20.16/5.26 | % 20.16/5.26 | Equations (313) can reduce 1147 to: % 20.16/5.26 | (204) ~ (e1 = e0) % 20.16/5.26 | % 20.16/5.26 | From (313) and (243) follows: % 20.16/5.26 | (1491) op(e1, e4) = all_0_1_1 % 20.16/5.26 | % 20.16/5.26 | From (313) and (137) follows: % 20.16/5.26 | (1492) op(e4, e1) = all_0_36_36 % 20.16/5.26 | % 20.16/5.26 | From (313) and (67) follows: % 20.16/5.26 | (322) op(e3, e1) = all_0_35_35 % 20.16/5.26 | % 20.16/5.26 +-Applying beta-rule and splitting (210), into two cases. % 20.16/5.26 |-Branch one: % 20.16/5.26 | (323) all_0_58_58 = e1 % 20.16/5.26 | % 20.16/5.26 | Equations (323) can reduce 315 to: % 20.16/5.26 | (251) $false % 20.16/5.26 | % 20.16/5.26 |-The branch is then unsatisfiable % 20.16/5.26 |-Branch two: % 20.16/5.26 | (315) ~ (all_0_58_58 = e1) % 20.16/5.26 | (326) all_0_62_62 = e1 | all_0_66_66 = e1 % 20.16/5.26 | % 20.16/5.26 +-Applying beta-rule and splitting (177), into two cases. % 20.16/5.26 |-Branch one: % 20.16/5.26 | (254) all_0_56_56 = e2 % 20.16/5.26 | % 20.16/5.26 | Combining equations (254,250) yields a new equation: % 20.16/5.26 | (376) e3 = e2 % 20.16/5.26 | % 20.16/5.26 | Equations (376) can reduce 128 to: % 20.16/5.26 | (251) $false % 20.16/5.26 | % 20.16/5.26 |-The branch is then unsatisfiable % 20.16/5.26 |-Branch two: % 20.16/5.26 | (247) ~ (all_0_56_56 = e2) % 20.16/5.26 | (358) all_0_57_57 = e2 | all_0_59_59 = e2 % 20.16/5.26 | % 20.16/5.26 +-Applying beta-rule and splitting (166), into two cases. % 20.16/5.26 |-Branch one: % 20.16/5.26 | (306) all_0_64_64 = e1 % 20.16/5.26 | % 20.16/5.26 | Equations (306) can reduce 218 to: % 20.16/5.26 | (651) ~ (all_0_60_60 = e1) % 20.16/5.26 | % 20.16/5.26 | Equations (306) can reduce 191 to: % 20.16/5.26 | (307) ~ (all_0_65_65 = e1) % 20.16/5.26 | % 20.16/5.26 | Simplifying 307 yields: % 20.16/5.26 | (308) ~ (all_0_65_65 = e1) % 20.16/5.26 | % 20.16/5.26 | Equations (306) can reduce 100 to: % 20.16/5.26 | (309) ~ (all_0_66_66 = e1) % 20.16/5.26 | % 20.16/5.26 | Simplifying 309 yields: % 20.16/5.26 | (248) ~ (all_0_66_66 = e1) % 20.16/5.26 | % 20.16/5.26 | Equations (306) can reduce 196 to: % 20.16/5.26 | (1509) ~ (all_0_67_67 = e1) % 20.16/5.26 | % 20.16/5.26 | Simplifying 1509 yields: % 20.16/5.26 | (19) ~ (all_0_67_67 = e1) % 20.16/5.26 | % 20.16/5.26 | From (306) and (179) follows: % 20.16/5.26 | (1511) op(e1, e4) = all_0_15_15 % 20.16/5.26 | % 20.16/5.26 | From (306) and (234) follows: % 20.16/5.26 | (311) op(e1, e2) = all_0_14_14 % 20.16/5.26 | % 20.16/5.26 | From (306) and (152) follows: % 20.16/5.26 | (1513) op(e4, e1) = all_0_31_31 % 20.16/5.26 | % 20.16/5.26 | From (306) and (133) follows: % 20.16/5.26 | (312) op(e2, e1) = all_0_32_32 % 20.16/5.26 | % 20.16/5.26 | From (306) and (195) follows: % 20.16/5.26 | (1515) op(e2, e4) = e1 % 20.16/5.26 | % 20.16/5.26 +-Applying beta-rule and splitting (206), into two cases. % 20.16/5.26 |-Branch one: % 20.16/5.26 | (261) all_0_56_56 = e0 % 20.16/5.26 | % 20.16/5.26 | Combining equations (261,250) yields a new equation: % 20.16/5.26 | (391) e3 = e0 % 20.16/5.26 | % 20.16/5.26 | Equations (391) can reduce 36 to: % 20.16/5.26 | (251) $false % 20.16/5.26 | % 20.16/5.26 |-The branch is then unsatisfiable % 20.16/5.26 |-Branch two: % 20.16/5.26 | (1519) ~ (all_0_56_56 = e0) % 20.16/5.26 | (1520) all_0_60_60 = e0 | all_0_64_64 = e0 | all_0_68_68 = e0 % 20.16/5.26 | % 20.16/5.26 +-Applying beta-rule and splitting (1520), into two cases. % 20.16/5.26 |-Branch one: % 20.16/5.26 | (1119) all_0_60_60 = e0 % 20.16/5.26 | % 20.16/5.26 | Equations (1119) can reduce 267 to: % 20.16/5.26 | (251) $false % 20.16/5.26 | % 20.16/5.26 |-The branch is then unsatisfiable % 20.16/5.26 |-Branch two: % 20.16/5.26 | (267) ~ (all_0_60_60 = e0) % 20.16/5.26 | (1524) all_0_64_64 = e0 | all_0_68_68 = e0 % 20.16/5.26 | % 20.16/5.26 +-Applying beta-rule and splitting (1524), into two cases. % 20.16/5.26 |-Branch one: % 20.16/5.26 | (643) all_0_64_64 = e0 % 20.16/5.26 | % 20.16/5.26 | Combining equations (643,306) yields a new equation: % 20.16/5.26 | (288) e1 = e0 % 20.16/5.26 | % 20.16/5.26 | Equations (288) can reduce 204 to: % 20.16/5.26 | (251) $false % 20.16/5.26 | % 20.16/5.26 |-The branch is then unsatisfiable % 20.16/5.26 |-Branch two: % 20.16/5.26 | (269) ~ (all_0_64_64 = e0) % 20.16/5.26 | (988) all_0_68_68 = e0 % 20.16/5.26 | % 20.16/5.26 | Equations (988) can reduce 83 to: % 20.16/5.26 | (267) ~ (all_0_60_60 = e0) % 20.16/5.26 | % 20.16/5.26 | Equations (988) can reduce 24 to: % 20.16/5.26 | (1531) ~ (all_0_71_71 = e0) % 20.16/5.26 | % 20.16/5.26 | Simplifying 1531 yields: % 20.16/5.26 | (1532) ~ (all_0_71_71 = e0) % 20.16/5.26 | % 20.16/5.26 | From (988) and (37) follows: % 20.16/5.26 | (1533) op(e1, e4) = e0 % 20.16/5.26 | % 20.16/5.26 +-Applying beta-rule and splitting (68), into two cases. % 20.16/5.26 |-Branch one: % 20.16/5.26 | (278) all_0_60_60 = e2 % 20.16/5.26 | % 20.16/5.26 | Equations (278) can reduce 168 to: % 20.16/5.26 | (281) ~ (all_0_62_62 = e2) % 20.16/5.26 | % 20.16/5.26 | Simplifying 281 yields: % 20.16/5.26 | (217) ~ (all_0_62_62 = e2) % 20.16/5.26 | % 20.16/5.26 | Equations (278) can reduce 267 to: % 20.16/5.26 | (48) ~ (e2 = e0) % 20.16/5.26 | % 20.16/5.26 | From (278) and (88) follows: % 20.16/5.26 | (1538) op(e2, e4) = all_0_8_8 % 20.16/5.26 | % 20.16/5.26 | From (278) and (146) follows: % 20.16/5.26 | (1539) op(e4, e2) = all_0_29_29 % 20.16/5.26 | % 20.16/5.26 +-Applying beta-rule and splitting (326), into two cases. % 20.16/5.26 |-Branch one: % 20.16/5.26 | (327) all_0_62_62 = e1 % 20.16/5.26 | % 20.16/5.26 | Equations (327) can reduce 180 to: % 20.16/5.26 | (315) ~ (all_0_58_58 = e1) % 20.16/5.26 | % 20.16/5.26 | Equations (327) can reduce 135 to: % 20.16/5.26 | (309) ~ (all_0_66_66 = e1) % 20.16/5.26 | % 20.16/5.26 | Simplifying 309 yields: % 20.16/5.26 | (248) ~ (all_0_66_66 = e1) % 20.16/5.26 | % 20.16/5.26 | Equations (327) can reduce 217 to: % 20.16/5.26 | (328) ~ (e2 = e1) % 20.16/5.26 | % 20.16/5.26 | Simplifying 328 yields: % 20.16/5.26 | (184) ~ (e2 = e1) % 20.16/5.26 | % 20.16/5.26 | From (327) and (222) follows: % 20.16/5.26 | (331) op(e1, e2) = all_0_11_11 % 20.16/5.26 | % 20.16/5.26 +-Applying beta-rule and splitting (358), into two cases. % 20.16/5.26 |-Branch one: % 20.16/5.26 | (335) all_0_57_57 = e2 % 20.16/5.26 | % 20.16/5.26 | Combining equations (335,313) yields a new equation: % 20.16/5.26 | (336) e2 = e1 % 20.16/5.26 | % 20.16/5.26 | Simplifying 336 yields: % 20.16/5.26 | (337) e2 = e1 % 20.16/5.26 | % 20.16/5.26 | Equations (337) can reduce 184 to: % 20.16/5.26 | (251) $false % 20.16/5.26 | % 20.16/5.26 |-The branch is then unsatisfiable % 20.16/5.26 |-Branch two: % 20.16/5.26 | (339) ~ (all_0_57_57 = e2) % 20.16/5.26 | (364) all_0_59_59 = e2 % 20.16/5.26 | % 20.16/5.26 | Equations (364) can reduce 229 to: % 20.16/5.26 | (77) ~ (all_0_58_58 = e2) % 20.16/5.26 | % 20.16/5.26 | Equations (364) can reduce 96 to: % 20.16/5.26 | (365) ~ (all_0_63_63 = e2) % 20.16/5.26 | % 20.16/5.26 | Simplifying 365 yields: % 20.16/5.26 | (366) ~ (all_0_63_63 = e2) % 20.16/5.26 | % 20.16/5.26 | Equations (364) can reduce 22 to: % 20.16/5.26 | (367) ~ (all_0_67_67 = e2) % 20.16/5.26 | % 20.16/5.26 | Simplifying 367 yields: % 20.16/5.26 | (139) ~ (all_0_67_67 = e2) % 20.16/5.26 | % 20.16/5.26 | Equations (364) can reduce 28 to: % 20.16/5.26 | (369) ~ (all_0_71_71 = e2) % 20.16/5.26 | % 20.16/5.26 | Simplifying 369 yields: % 20.16/5.26 | (370) ~ (all_0_71_71 = e2) % 20.16/5.26 | % 20.16/5.26 | From (364) and (187) follows: % 20.16/5.26 | (1560) op(e2, e4) = all_0_5_5 % 20.16/5.26 | % 20.16/5.26 | From (364) and (123) follows: % 20.16/5.26 | (373) op(e2, e1) = all_0_6_6 % 20.16/5.26 | % 20.16/5.26 | From (364) and (236) follows: % 20.16/5.26 | (1562) op(e4, e2) = all_0_50_50 % 20.16/5.26 | % 20.16/5.26 | From (364) and (25) follows: % 20.16/5.26 | (1563) op(e4, e1) = e2 % 20.16/5.26 | % 20.16/5.26 | From (364) and (219) follows: % 20.16/5.26 | (374) op(e1, e2) = all_0_49_49 % 20.16/5.26 | % 20.16/5.26 +-Applying beta-rule and splitting (112), into two cases. % 20.16/5.26 |-Branch one: % 20.16/5.26 | (729) all_0_68_68 = e2 % 20.16/5.26 | % 20.16/5.26 | Combining equations (729,988) yields a new equation: % 20.16/5.26 | (354) e2 = e0 % 20.16/5.26 | % 20.16/5.26 | Simplifying 354 yields: % 20.16/5.26 | (355) e2 = e0 % 20.16/5.26 | % 20.16/5.26 | Equations (355) can reduce 48 to: % 20.16/5.26 | (251) $false % 20.16/5.26 | % 20.16/5.26 |-The branch is then unsatisfiable % 20.16/5.26 |-Branch two: % 20.16/5.26 | (987) ~ (all_0_68_68 = e2) % 20.16/5.26 | (1570) all_0_69_69 = e2 | all_0_71_71 = e2 % 20.16/5.26 | % 20.16/5.26 +-Applying beta-rule and splitting (1570), into two cases. % 20.16/5.26 |-Branch one: % 20.16/5.26 | (344) all_0_69_69 = e2 % 20.16/5.26 | % 20.16/5.26 | Equations (344) can reduce 47 to: % 20.16/5.26 | (369) ~ (all_0_71_71 = e2) % 20.16/5.26 | % 20.16/5.26 | Simplifying 369 yields: % 20.16/5.26 | (370) ~ (all_0_71_71 = e2) % 20.16/5.26 | % 20.16/5.26 | From (344) and (79) follows: % 20.16/5.26 | (349) op(e2, e1) = all_0_23_23 % 20.16/5.26 | % 20.16/5.26 | From (344) and (163) follows: % 20.16/5.26 | (351) op(e1, e2) = all_0_41_41 % 20.16/5.26 | % 20.16/5.26 +-Applying beta-rule and splitting (227), into two cases. % 20.16/5.26 |-Branch one: % 20.16/5.26 | (1243) all_0_65_65 = e4 % 20.16/5.26 | % 20.16/5.26 | From (1243) and (178) follows: % 20.16/5.26 | (1577) op(e4, e2) = all_0_16_16 % 20.16/5.26 | % 20.16/5.26 | From (1243) and (231) follows: % 20.16/5.26 | (1578) op(e2, e4) = all_0_39_39 % 20.16/5.26 | % 20.16/5.26 +-Applying beta-rule and splitting (140), into two cases. % 20.16/5.26 |-Branch one: % 20.16/5.26 | (498) all_0_63_63 = e4 % 20.16/5.26 | % 20.16/5.26 | Equations (498) can reduce 116 to: % 20.16/5.26 | (1580) ~ (all_0_67_67 = e4) % 20.16/5.26 | % 20.16/5.26 | Simplifying 1580 yields: % 20.16/5.26 | (1581) ~ (all_0_67_67 = e4) % 20.16/5.26 | % 20.16/5.26 | Equations (498) can reduce 226 to: % 20.16/5.27 | (1582) ~ (all_0_71_71 = e4) % 20.16/5.27 | % 20.16/5.27 | Simplifying 1582 yields: % 20.16/5.27 | (556) ~ (all_0_71_71 = e4) % 20.16/5.27 | % 20.16/5.27 | Equations (498) can reduce 366 to: % 20.16/5.27 | (49) ~ (e4 = e2) % 20.16/5.27 | % 20.16/5.27 | From (498) and (13) follows: % 20.16/5.27 | (1585) op(e4, e1) = all_0_13_13 % 20.16/5.27 | % 20.16/5.27 | From (498) and (129) follows: % 20.16/5.27 | (1586) op(e3, e1) = e4 % 20.16/5.27 | % 20.16/5.27 | From (498) and (65) follows: % 20.16/5.27 | (1587) op(e1, e4) = all_0_51_51 % 20.16/5.27 | % 20.16/5.27 +-Applying beta-rule and splitting (157), into two cases. % 20.16/5.27 |-Branch one: % 20.16/5.27 | (478) all_0_69_69 = e4 % 20.16/5.27 | % 20.16/5.27 | Combining equations (344,478) yields a new equation: % 20.16/5.27 | (480) e4 = e2 % 20.16/5.27 | % 20.16/5.27 | Equations (480) can reduce 49 to: % 20.16/5.27 | (251) $false % 20.16/5.27 | % 20.16/5.27 |-The branch is then unsatisfiable % 20.16/5.27 |-Branch two: % 20.16/5.27 | (482) ~ (all_0_69_69 = e4) % 20.16/5.27 | (483) all_0_70_70 = e4 | all_0_71_71 = e4 % 20.16/5.27 | % 20.16/5.27 +-Applying beta-rule and splitting (167), into two cases. % 20.16/5.27 |-Branch one: % 20.16/5.27 | (395) all_0_58_58 = e3 % 20.16/5.27 | % 20.16/5.27 | Equations (395) can reduce 621 to: % 20.16/5.27 | (251) $false % 20.16/5.27 | % 20.16/5.27 |-The branch is then unsatisfiable % 20.16/5.27 |-Branch two: % 20.16/5.27 | (621) ~ (all_0_58_58 = e3) % 20.16/5.27 | (622) all_0_58_58 = e1 | all_0_58_58 = e0 % 20.16/5.27 | % 20.16/5.27 +-Applying beta-rule and splitting (622), into two cases. % 20.16/5.27 |-Branch one: % 20.16/5.27 | (323) all_0_58_58 = e1 % 20.16/5.27 | % 20.16/5.27 | Equations (323) can reduce 315 to: % 20.16/5.27 | (251) $false % 20.16/5.27 | % 20.16/5.27 |-The branch is then unsatisfiable % 20.16/5.27 |-Branch two: % 20.16/5.27 | (315) ~ (all_0_58_58 = e1) % 20.16/5.27 | (1060) all_0_58_58 = e0 % 20.16/5.27 | % 20.16/5.27 | Equations (1060) can reduce 216 to: % 20.16/5.27 | (1601) ~ (all_0_66_66 = e0) % 20.16/5.27 | % 20.16/5.27 | Simplifying 1601 yields: % 20.16/5.27 | (1457) ~ (all_0_66_66 = e0) % 20.16/5.27 | % 20.16/5.27 | From (1060) and (160) follows: % 20.16/5.27 | (1603) op(e4, e2) = e0 % 20.16/5.27 | % 20.16/5.27 +-Applying beta-rule and splitting (483), into two cases. % 20.16/5.27 |-Branch one: % 20.16/5.27 | (500) all_0_70_70 = e4 % 20.16/5.27 | % 20.16/5.27 | Equations (500) can reduce 82 to: % 20.16/5.27 | (534) ~ (all_0_66_66 = e4) % 20.16/5.27 | % 20.16/5.27 | From (500) and (30) follows: % 20.16/5.27 | (1606) op(e4, e2) = all_0_26_26 % 20.16/5.27 | % 20.16/5.27 | From (500) and (95) follows: % 20.16/5.27 | (1607) op(e4, e1) = all_0_25_25 % 20.16/5.27 | % 20.16/5.27 | From (500) and (35) follows: % 20.16/5.27 | (1608) op(e2, e4) = all_0_47_47 % 20.16/5.27 | % 20.16/5.27 | From (500) and (241) follows: % 20.16/5.27 | (1609) op(e1, e4) = all_0_48_48 % 20.16/5.27 | % 20.16/5.27 | From (500) and (81) follows: % 20.16/5.27 | (1610) op(e1, e2) = e4 % 20.16/5.27 | % 20.16/5.27 +-Applying beta-rule and splitting (23), into two cases. % 20.16/5.27 |-Branch one: % 20.16/5.27 | (530) all_0_66_66 = e4 % 20.16/5.27 | % 20.16/5.27 | Equations (530) can reduce 534 to: % 20.16/5.27 | (251) $false % 20.16/5.27 | % 20.16/5.27 |-The branch is then unsatisfiable % 20.16/5.27 |-Branch two: % 20.16/5.27 | (534) ~ (all_0_66_66 = e4) % 20.16/5.27 | (1614) all_0_66_66 = e3 | all_0_66_66 = e1 | all_0_66_66 = e0 % 20.16/5.27 | % 20.16/5.27 +-Applying beta-rule and splitting (1614), into two cases. % 20.16/5.27 |-Branch one: % 20.16/5.27 | (538) all_0_66_66 = e3 % 20.16/5.27 | % 20.16/5.27 | Equations (538) can reduce 85 to: % 20.16/5.27 | (770) ~ (all_0_67_67 = e3) % 20.16/5.27 | % 20.16/5.27 | Simplifying 770 yields: % 20.16/5.27 | (629) ~ (all_0_67_67 = e3) % 20.16/5.27 | % 20.16/5.27 | Equations (538) can reduce 232 to: % 20.16/5.27 | (128) ~ (e3 = e2) % 20.16/5.27 | % 20.16/5.27 +-Applying beta-rule and splitting (207), into two cases. % 20.16/5.27 |-Branch one: % 20.16/5.27 | (375) all_0_59_59 = e3 % 20.16/5.27 | % 20.16/5.27 | Combining equations (375,364) yields a new equation: % 20.16/5.27 | (1620) e3 = e2 % 20.16/5.27 | % 20.16/5.27 | Simplifying 1620 yields: % 20.16/5.27 | (376) e3 = e2 % 20.16/5.27 | % 20.16/5.27 | Equations (376) can reduce 128 to: % 20.16/5.27 | (251) $false % 20.16/5.27 | % 20.16/5.27 |-The branch is then unsatisfiable % 20.16/5.27 |-Branch two: % 20.16/5.27 | (378) ~ (all_0_59_59 = e3) % 20.16/5.27 | (379) all_0_67_67 = e3 | all_0_71_71 = e3 % 20.16/5.27 | % 20.16/5.27 +-Applying beta-rule and splitting (379), into two cases. % 20.16/5.27 |-Branch one: % 20.16/5.27 | (380) all_0_67_67 = e3 % 20.16/5.27 | % 20.16/5.27 | Equations (380) can reduce 629 to: % 20.16/5.27 | (251) $false % 20.16/5.27 | % 20.16/5.27 |-The branch is then unsatisfiable % 20.16/5.27 |-Branch two: % 20.16/5.27 | (629) ~ (all_0_67_67 = e3) % 20.16/5.27 | (558) all_0_71_71 = e3 % 20.16/5.27 | % 20.16/5.27 | Equations (558) can reduce 26 to: % 20.16/5.27 | (629) ~ (all_0_67_67 = e3) % 20.16/5.27 | % 20.16/5.27 | Equations (558) can reduce 370 to: % 20.16/5.27 | (128) ~ (e3 = e2) % 20.16/5.27 | % 20.16/5.27 +-Applying beta-rule and splitting (10), into two cases. % 20.16/5.27 |-Branch one: % 20.16/5.27 | (1251) all_0_67_67 = e4 % 20.16/5.27 | % 20.16/5.27 | Equations (1251) can reduce 1581 to: % 20.16/5.27 | (251) $false % 20.16/5.27 | % 20.16/5.27 |-The branch is then unsatisfiable % 20.16/5.27 |-Branch two: % 20.16/5.27 | (1581) ~ (all_0_67_67 = e4) % 20.16/5.27 | (1634) all_0_67_67 = e3 | all_0_67_67 = e0 % 20.16/5.27 | % 20.16/5.27 +-Applying beta-rule and splitting (1634), into two cases. % 20.16/5.27 |-Branch one: % 20.16/5.27 | (380) all_0_67_67 = e3 % 20.16/5.27 | % 20.16/5.27 | Equations (380) can reduce 629 to: % 20.16/5.27 | (251) $false % 20.16/5.27 | % 20.16/5.27 |-The branch is then unsatisfiable % 20.16/5.27 |-Branch two: % 20.16/5.27 | (629) ~ (all_0_67_67 = e3) % 20.16/5.27 | (1458) all_0_67_67 = e0 % 20.16/5.27 | % 20.16/5.27 | Equations (1458) can reduce 1581 to: % 20.16/5.27 | (514) ~ (e4 = e0) % 20.16/5.27 | % 20.16/5.27 | Simplifying 514 yields: % 20.16/5.27 | (17) ~ (e4 = e0) % 20.16/5.27 | % 20.16/5.27 | Equations (1458) can reduce 629 to: % 20.16/5.27 | (272) ~ (e3 = e0) % 20.16/5.27 | % 20.16/5.27 | Simplifying 272 yields: % 20.16/5.27 | (36) ~ (e3 = e0) % 20.16/5.27 | % 20.16/5.27 | Equations (1458) can reduce 139 to: % 20.16/5.27 | (274) ~ (e2 = e0) % 20.16/5.27 | % 20.16/5.27 | Simplifying 274 yields: % 20.16/5.27 | (48) ~ (e2 = e0) % 20.16/5.27 | % 20.16/5.27 | Equations (1458) can reduce 19 to: % 20.16/5.27 | (276) ~ (e1 = e0) % 20.16/5.27 | % 20.16/5.27 | Simplifying 276 yields: % 20.16/5.27 | (204) ~ (e1 = e0) % 20.16/5.27 | % 20.16/5.27 | From (1458) and (185) follows: % 20.16/5.27 | (1647) op(e2, e1) = e0 % 20.16/5.27 | % 20.16/5.27 | Instantiating formula (61) with e4, e2, all_0_26_26, all_0_16_16 and discharging atoms op(e4, e2) = all_0_16_16, op(e4, e2) = all_0_26_26, yields: % 20.16/5.27 | (1648) all_0_16_16 = all_0_26_26 % 20.16/5.27 | % 20.16/5.27 | Instantiating formula (61) with e4, e2, all_0_29_29, all_0_16_16 and discharging atoms op(e4, e2) = all_0_16_16, op(e4, e2) = all_0_29_29, yields: % 20.16/5.27 | (1649) all_0_16_16 = all_0_29_29 % 20.16/5.27 | % 20.16/5.27 | Instantiating formula (61) with e4, e2, all_0_50_50, all_0_16_16 and discharging atoms op(e4, e2) = all_0_16_16, op(e4, e2) = all_0_50_50, yields: % 20.16/5.27 | (1650) all_0_16_16 = all_0_50_50 % 20.16/5.27 | % 20.16/5.27 | Instantiating formula (61) with e4, e2, e0, all_0_29_29 and discharging atoms op(e4, e2) = all_0_29_29, op(e4, e2) = e0, yields: % 20.16/5.27 | (1381) all_0_29_29 = e0 % 20.16/5.27 | % 20.16/5.27 | Instantiating formula (61) with e4, e1, all_0_25_25, all_0_13_13 and discharging atoms op(e4, e1) = all_0_13_13, op(e4, e1) = all_0_25_25, yields: % 20.16/5.27 | (1652) all_0_13_13 = all_0_25_25 % 20.16/5.27 | % 20.16/5.27 | Instantiating formula (61) with e4, e1, all_0_31_31, all_0_13_13 and discharging atoms op(e4, e1) = all_0_13_13, op(e4, e1) = all_0_31_31, yields: % 20.16/5.27 | (1653) all_0_13_13 = all_0_31_31 % 20.16/5.27 | % 20.16/5.27 | Instantiating formula (61) with e4, e1, all_0_36_36, all_0_25_25 and discharging atoms op(e4, e1) = all_0_25_25, op(e4, e1) = all_0_36_36, yields: % 20.16/5.27 | (1654) all_0_25_25 = all_0_36_36 % 20.16/5.27 | % 20.16/5.27 | Instantiating formula (61) with e4, e1, e2, all_0_25_25 and discharging atoms op(e4, e1) = all_0_25_25, op(e4, e1) = e2, yields: % 20.16/5.27 | (1655) all_0_25_25 = e2 % 20.16/5.27 | % 20.16/5.27 | Instantiating formula (61) with e3, e1, e4, all_0_35_35 and discharging atoms op(e3, e1) = all_0_35_35, op(e3, e1) = e4, yields: % 20.16/5.27 | (1341) all_0_35_35 = e4 % 20.16/5.27 | % 20.16/5.27 | Instantiating formula (61) with e2, e4, all_0_8_8, all_0_5_5 and discharging atoms op(e2, e4) = all_0_5_5, op(e2, e4) = all_0_8_8, yields: % 20.16/5.27 | (1657) all_0_5_5 = all_0_8_8 % 20.16/5.27 | % 20.16/5.27 | Instantiating formula (61) with e2, e4, all_0_39_39, all_0_5_5 and discharging atoms op(e2, e4) = all_0_5_5, op(e2, e4) = all_0_39_39, yields: % 20.16/5.27 | (1658) all_0_5_5 = all_0_39_39 % 20.16/5.27 | % 20.16/5.27 | Instantiating formula (61) with e2, e4, all_0_47_47, all_0_5_5 and discharging atoms op(e2, e4) = all_0_5_5, op(e2, e4) = all_0_47_47, yields: % 20.16/5.27 | (1659) all_0_5_5 = all_0_47_47 % 20.16/5.27 | % 20.16/5.27 | Instantiating formula (61) with e2, e4, e1, all_0_5_5 and discharging atoms op(e2, e4) = all_0_5_5, op(e2, e4) = e1, yields: % 20.16/5.27 | (1660) all_0_5_5 = e1 % 20.16/5.27 | % 20.16/5.27 | Instantiating formula (61) with e2, e1, all_0_23_23, all_0_6_6 and discharging atoms op(e2, e1) = all_0_6_6, op(e2, e1) = all_0_23_23, yields: % 20.16/5.27 | (413) all_0_6_6 = all_0_23_23 % 20.16/5.27 | % 20.16/5.27 | Instantiating formula (61) with e2, e1, all_0_32_32, all_0_23_23 and discharging atoms op(e2, e1) = all_0_23_23, op(e2, e1) = all_0_32_32, yields: % 20.16/5.27 | (431) all_0_23_23 = all_0_32_32 % 20.16/5.27 | % 20.16/5.27 | Instantiating formula (61) with e2, e1, e0, all_0_6_6 and discharging atoms op(e2, e1) = all_0_6_6, op(e2, e1) = e0, yields: % 20.16/5.27 | (1663) all_0_6_6 = e0 % 20.16/5.27 | % 20.16/5.27 | Instantiating formula (61) with e1, e4, all_0_15_15, all_0_1_1 and discharging atoms op(e1, e4) = all_0_1_1, op(e1, e4) = all_0_15_15, yields: % 20.16/5.27 | (1664) all_0_1_1 = all_0_15_15 % 20.16/5.27 | % 20.16/5.27 | Instantiating formula (61) with e1, e4, all_0_48_48, all_0_1_1 and discharging atoms op(e1, e4) = all_0_1_1, op(e1, e4) = all_0_48_48, yields: % 20.16/5.27 | (1665) all_0_1_1 = all_0_48_48 % 20.16/5.27 | % 20.16/5.27 | Instantiating formula (61) with e1, e4, all_0_51_51, all_0_15_15 and discharging atoms op(e1, e4) = all_0_15_15, op(e1, e4) = all_0_51_51, yields: % 20.16/5.27 | (1666) all_0_15_15 = all_0_51_51 % 20.16/5.27 | % 20.16/5.27 | Instantiating formula (61) with e1, e4, e0, all_0_15_15 and discharging atoms op(e1, e4) = all_0_15_15, op(e1, e4) = e0, yields: % 20.16/5.27 | (1667) all_0_15_15 = e0 % 20.16/5.27 | % 20.16/5.27 | Instantiating formula (61) with e1, e2, all_0_14_14, all_0_11_11 and discharging atoms op(e1, e2) = all_0_11_11, op(e1, e2) = all_0_14_14, yields: % 20.16/5.27 | (421) all_0_11_11 = all_0_14_14 % 20.16/5.27 | % 20.16/5.27 | Instantiating formula (61) with e1, e2, all_0_41_41, all_0_11_11 and discharging atoms op(e1, e2) = all_0_11_11, op(e1, e2) = all_0_41_41, yields: % 20.16/5.27 | (423) all_0_11_11 = all_0_41_41 % 20.16/5.27 | % 20.16/5.27 | Instantiating formula (61) with e1, e2, all_0_49_49, all_0_14_14 and discharging atoms op(e1, e2) = all_0_14_14, op(e1, e2) = all_0_49_49, yields: % 20.16/5.27 | (437) all_0_14_14 = all_0_49_49 % 20.16/5.27 | % 20.16/5.27 | Instantiating formula (61) with e1, e2, e4, all_0_11_11 and discharging atoms op(e1, e2) = all_0_11_11, op(e1, e2) = e4, yields: % 20.16/5.27 | (1671) all_0_11_11 = e4 % 20.16/5.27 | % 20.16/5.27 | Combining equations (1664,1665) yields a new equation: % 20.16/5.27 | (1672) all_0_15_15 = all_0_48_48 % 20.16/5.27 | % 20.16/5.27 | Simplifying 1672 yields: % 20.16/5.27 | (1673) all_0_15_15 = all_0_48_48 % 20.16/5.27 | % 20.16/5.27 | Combining equations (1658,1657) yields a new equation: % 20.16/5.27 | (1674) all_0_8_8 = all_0_39_39 % 20.16/5.27 | % 20.16/5.27 | Combining equations (1660,1657) yields a new equation: % 20.16/5.27 | (1675) all_0_8_8 = e1 % 20.16/5.27 | % 20.16/5.27 | Combining equations (1659,1657) yields a new equation: % 20.16/5.27 | (1676) all_0_8_8 = all_0_47_47 % 20.16/5.27 | % 20.16/5.27 | Combining equations (413,1663) yields a new equation: % 20.16/5.27 | (1677) all_0_23_23 = e0 % 20.16/5.27 | % 20.16/5.27 | Simplifying 1677 yields: % 20.16/5.27 | (1340) all_0_23_23 = e0 % 20.16/5.27 | % 20.16/5.27 | Combining equations (1675,1674) yields a new equation: % 20.16/5.27 | (1679) all_0_39_39 = e1 % 20.16/5.27 | % 20.16/5.27 | Combining equations (1676,1674) yields a new equation: % 20.16/5.27 | (1680) all_0_39_39 = all_0_47_47 % 20.16/5.27 | % 20.16/5.28 | Combining equations (421,423) yields a new equation: % 20.16/5.28 | (1681) all_0_14_14 = all_0_41_41 % 20.16/5.28 | % 20.16/5.28 | Simplifying 1681 yields: % 20.16/5.28 | (438) all_0_14_14 = all_0_41_41 % 20.16/5.28 | % 20.16/5.28 | Combining equations (1671,423) yields a new equation: % 20.16/5.28 | (1683) all_0_41_41 = e4 % 20.16/5.28 | % 20.16/5.28 | Combining equations (1652,1653) yields a new equation: % 20.16/5.28 | (1684) all_0_25_25 = all_0_31_31 % 20.16/5.28 | % 20.16/5.28 | Simplifying 1684 yields: % 20.16/5.28 | (1685) all_0_25_25 = all_0_31_31 % 20.16/5.28 | % 20.16/5.28 | Combining equations (438,437) yields a new equation: % 20.16/5.28 | (439) all_0_41_41 = all_0_49_49 % 20.16/5.28 | % 20.16/5.28 | Simplifying 439 yields: % 20.16/5.28 | (440) all_0_41_41 = all_0_49_49 % 20.16/5.28 | % 20.16/5.28 | Combining equations (1667,1673) yields a new equation: % 20.16/5.28 | (1688) all_0_48_48 = e0 % 20.16/5.28 | % 20.16/5.28 | Combining equations (1666,1673) yields a new equation: % 20.16/5.28 | (1689) all_0_48_48 = all_0_51_51 % 20.16/5.28 | % 20.16/5.28 | Combining equations (1650,1648) yields a new equation: % 20.16/5.28 | (1690) all_0_26_26 = all_0_50_50 % 20.16/5.28 | % 20.16/5.28 | Combining equations (1649,1648) yields a new equation: % 20.16/5.28 | (1691) all_0_26_26 = all_0_29_29 % 20.16/5.28 | % 20.16/5.28 | Combining equations (431,1340) yields a new equation: % 20.16/5.28 | (1692) all_0_32_32 = e0 % 20.16/5.28 | % 20.16/5.28 | Simplifying 1692 yields: % 20.16/5.28 | (1693) all_0_32_32 = e0 % 20.16/5.28 | % 20.16/5.28 | Combining equations (1655,1685) yields a new equation: % 20.16/5.28 | (1694) all_0_31_31 = e2 % 20.16/5.28 | % 20.16/5.28 | Combining equations (1654,1685) yields a new equation: % 20.16/5.28 | (1695) all_0_31_31 = all_0_36_36 % 20.16/5.28 | % 20.16/5.28 | Combining equations (1691,1690) yields a new equation: % 20.16/5.28 | (1696) all_0_29_29 = all_0_50_50 % 20.16/5.28 | % 20.16/5.28 | Simplifying 1696 yields: % 20.16/5.28 | (1697) all_0_29_29 = all_0_50_50 % 20.16/5.28 | % 20.16/5.28 | Combining equations (1697,1381) yields a new equation: % 20.16/5.28 | (1698) all_0_50_50 = e0 % 20.16/5.28 | % 20.16/5.28 | Simplifying 1698 yields: % 20.16/5.28 | (1699) all_0_50_50 = e0 % 20.16/5.28 | % 20.16/5.28 | Combining equations (1694,1695) yields a new equation: % 20.16/5.28 | (1700) all_0_36_36 = e2 % 20.16/5.28 | % 20.16/5.28 | Combining equations (1679,1680) yields a new equation: % 20.16/5.28 | (826) all_0_47_47 = e1 % 20.16/5.28 | % 20.16/5.28 | Combining equations (440,1683) yields a new equation: % 20.16/5.28 | (1702) all_0_49_49 = e4 % 20.16/5.28 | % 20.16/5.28 | Simplifying 1702 yields: % 20.16/5.28 | (1703) all_0_49_49 = e4 % 20.16/5.28 | % 20.16/5.28 | Combining equations (1688,1689) yields a new equation: % 20.16/5.28 | (1384) all_0_51_51 = e0 % 20.16/5.28 | % 20.16/5.28 | Combining equations (1384,1689) yields a new equation: % 20.16/5.28 | (1688) all_0_48_48 = e0 % 20.16/5.28 | % 20.16/5.28 | Combining equations (1700,1695) yields a new equation: % 20.16/5.28 | (1694) all_0_31_31 = e2 % 20.16/5.28 | % 20.16/5.28 +-Applying beta-rule and splitting (183), into two cases. % 20.16/5.28 |-Branch one: % 20.16/5.28 | (462) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) | (( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3)) | (( ~ (all_0_42_42 = e4) | all_0_43_43 = e2) & ( ~ (all_0_44_44 = e3) | all_0_45_45 = e2) & ( ~ (all_0_47_47 = e1) | all_0_48_48 = e2)) % 20.16/5.28 | % 20.16/5.28 +-Applying beta-rule and splitting (462), into two cases. % 20.16/5.28 |-Branch one: % 20.16/5.28 | (463) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) | (( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3)) % 20.16/5.28 | % 20.16/5.28 +-Applying beta-rule and splitting (463), into two cases. % 20.16/5.28 |-Branch one: % 20.16/5.28 | (464) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) % 20.16/5.28 | % 20.16/5.28 +-Applying beta-rule and splitting (464), into two cases. % 20.16/5.28 |-Branch one: % 20.16/5.28 | (465) all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0 % 20.16/5.28 | % 20.16/5.28 | Applying alpha-rule on (465) yields: % 20.16/5.28 | (261) all_0_56_56 = e0 % 20.16/5.28 | (467) all_0_61_61 = e0 % 20.16/5.28 | (468) all_0_66_66 = e0 % 20.16/5.28 | (469) all_0_71_71 = e0 % 20.16/5.28 | % 20.16/5.28 | Combining equations (469,558) yields a new equation: % 20.16/5.28 | (391) e3 = e0 % 20.16/5.28 | % 20.16/5.28 | Equations (391) can reduce 36 to: % 20.16/5.28 | (251) $false % 20.16/5.28 | % 20.16/5.28 |-The branch is then unsatisfiable % 20.16/5.28 |-Branch two: % 20.16/5.28 | (578) ( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4) % 20.16/5.28 | % 20.16/5.28 | Applying alpha-rule on (578) yields: % 20.16/5.28 | (579) ~ (all_0_29_29 = e3) | all_0_30_30 = e4 % 20.16/5.28 | (580) ~ (all_0_31_31 = e2) | all_0_32_32 = e4 % 20.16/5.28 | (581) ~ (all_0_33_33 = e1) | all_0_34_34 = e4 % 20.16/5.28 | % 20.16/5.28 +-Applying beta-rule and splitting (580), into two cases. % 20.16/5.28 |-Branch one: % 20.16/5.28 | (1721) ~ (all_0_31_31 = e2) % 20.16/5.28 | % 20.16/5.28 | Equations (1694) can reduce 1721 to: % 20.16/5.28 | (251) $false % 20.16/5.28 | % 20.16/5.28 |-The branch is then unsatisfiable % 20.16/5.28 |-Branch two: % 20.16/5.28 | (1694) all_0_31_31 = e2 % 20.16/5.28 | (1724) all_0_32_32 = e4 % 20.16/5.28 | % 20.16/5.28 | Combining equations (1693,1724) yields a new equation: % 20.16/5.28 | (510) e4 = e0 % 20.16/5.28 | % 20.16/5.28 | Equations (510) can reduce 17 to: % 20.16/5.28 | (251) $false % 20.16/5.28 | % 20.16/5.28 |-The branch is then unsatisfiable % 20.16/5.28 |-Branch two: % 20.16/5.28 | (588) ( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3) % 20.16/5.28 | % 20.16/5.28 | Applying alpha-rule on (588) yields: % 20.16/5.28 | (589) ~ (all_0_35_35 = e4) | all_0_36_36 = e3 % 20.16/5.28 | (590) ~ (all_0_38_38 = e2) | all_0_39_39 = e3 % 20.16/5.28 | (591) ~ (all_0_40_40 = e1) | all_0_41_41 = e3 % 20.16/5.28 | % 20.16/5.28 +-Applying beta-rule and splitting (589), into two cases. % 20.16/5.28 |-Branch one: % 20.16/5.28 | (1415) ~ (all_0_35_35 = e4) % 20.16/5.28 | % 20.16/5.28 | Equations (1341) can reduce 1415 to: % 20.16/5.28 | (251) $false % 20.16/5.28 | % 20.16/5.28 |-The branch is then unsatisfiable % 20.16/5.28 |-Branch two: % 20.16/5.28 | (1341) all_0_35_35 = e4 % 20.16/5.28 | (1418) all_0_36_36 = e3 % 20.16/5.28 | % 20.16/5.28 | Combining equations (1418,1700) yields a new equation: % 20.16/5.28 | (1620) e3 = e2 % 20.16/5.28 | % 20.16/5.28 | Simplifying 1620 yields: % 20.16/5.28 | (376) e3 = e2 % 20.16/5.28 | % 20.16/5.28 | Equations (376) can reduce 128 to: % 20.16/5.28 | (251) $false % 20.16/5.28 | % 20.16/5.28 |-The branch is then unsatisfiable % 20.16/5.28 |-Branch two: % 20.16/5.28 | (599) ( ~ (all_0_42_42 = e4) | all_0_43_43 = e2) & ( ~ (all_0_44_44 = e3) | all_0_45_45 = e2) & ( ~ (all_0_47_47 = e1) | all_0_48_48 = e2) % 20.16/5.28 | % 20.16/5.28 | Applying alpha-rule on (599) yields: % 20.16/5.28 | (600) ~ (all_0_42_42 = e4) | all_0_43_43 = e2 % 20.16/5.28 | (601) ~ (all_0_44_44 = e3) | all_0_45_45 = e2 % 20.16/5.28 | (602) ~ (all_0_47_47 = e1) | all_0_48_48 = e2 % 20.16/5.28 | % 20.16/5.28 +-Applying beta-rule and splitting (602), into two cases. % 20.16/5.28 |-Branch one: % 20.16/5.28 | (952) ~ (all_0_47_47 = e1) % 20.16/5.28 | % 20.16/5.28 | Equations (826) can reduce 952 to: % 20.16/5.28 | (251) $false % 20.16/5.28 | % 20.16/5.28 |-The branch is then unsatisfiable % 20.16/5.28 |-Branch two: % 20.16/5.28 | (826) all_0_47_47 = e1 % 20.16/5.28 | (955) all_0_48_48 = e2 % 20.16/5.28 | % 20.16/5.28 | Combining equations (955,1688) yields a new equation: % 20.16/5.28 | (354) e2 = e0 % 20.16/5.28 | % 20.16/5.28 | Simplifying 354 yields: % 20.16/5.28 | (355) e2 = e0 % 20.16/5.28 | % 20.16/5.28 | Equations (355) can reduce 48 to: % 20.16/5.28 | (251) $false % 20.16/5.28 | % 20.16/5.28 |-The branch is then unsatisfiable % 20.16/5.28 |-Branch two: % 20.16/5.28 | (610) ( ~ (all_0_49_49 = e4) | all_0_50_50 = e1) & ( ~ (all_0_51_51 = e3) | all_0_52_52 = e1) & ( ~ (all_0_53_53 = e2) | all_0_54_54 = e1) % 20.16/5.28 | % 20.16/5.28 | Applying alpha-rule on (610) yields: % 20.16/5.28 | (611) ~ (all_0_49_49 = e4) | all_0_50_50 = e1 % 20.16/5.28 | (612) ~ (all_0_51_51 = e3) | all_0_52_52 = e1 % 20.16/5.28 | (613) ~ (all_0_53_53 = e2) | all_0_54_54 = e1 % 20.16/5.28 | % 20.16/5.28 +-Applying beta-rule and splitting (611), into two cases. % 20.16/5.28 |-Branch one: % 20.16/5.28 | (1753) ~ (all_0_49_49 = e4) % 20.16/5.28 | % 20.16/5.28 | Equations (1703) can reduce 1753 to: % 20.16/5.28 | (251) $false % 20.16/5.28 | % 20.16/5.28 |-The branch is then unsatisfiable % 20.16/5.28 |-Branch two: % 20.16/5.28 | (1703) all_0_49_49 = e4 % 20.16/5.28 | (1756) all_0_50_50 = e1 % 20.16/5.28 | % 20.16/5.28 | Combining equations (1756,1699) yields a new equation: % 20.16/5.28 | (287) e1 = e0 % 20.16/5.28 | % 20.16/5.28 | Simplifying 287 yields: % 20.16/5.28 | (288) e1 = e0 % 20.16/5.28 | % 20.16/5.28 | Equations (288) can reduce 204 to: % 20.16/5.28 | (251) $false % 20.16/5.28 | % 20.16/5.28 |-The branch is then unsatisfiable % 20.16/5.28 |-Branch two: % 20.16/5.28 | (542) ~ (all_0_66_66 = e3) % 20.16/5.28 | (1761) all_0_66_66 = e1 | all_0_66_66 = e0 % 20.16/5.28 | % 20.16/5.28 +-Applying beta-rule and splitting (1761), into two cases. % 20.16/5.28 |-Branch one: % 20.16/5.28 | (546) all_0_66_66 = e1 % 20.16/5.28 | % 20.16/5.28 | Equations (546) can reduce 248 to: % 20.16/5.28 | (251) $false % 20.16/5.28 | % 20.16/5.28 |-The branch is then unsatisfiable % 20.16/5.28 |-Branch two: % 20.16/5.28 | (248) ~ (all_0_66_66 = e1) % 20.16/5.28 | (468) all_0_66_66 = e0 % 20.16/5.28 | % 20.16/5.28 | Equations (468) can reduce 1457 to: % 20.16/5.28 | (251) $false % 20.16/5.28 | % 20.16/5.28 |-The branch is then unsatisfiable % 20.16/5.28 |-Branch two: % 20.16/5.28 | (567) ~ (all_0_70_70 = e4) % 20.16/5.28 | (552) all_0_71_71 = e4 % 20.16/5.28 | % 20.16/5.28 | Equations (552) can reduce 556 to: % 20.16/5.28 | (251) $false % 20.16/5.28 | % 20.16/5.28 |-The branch is then unsatisfiable % 20.16/5.28 |-Branch two: % 20.16/5.28 | (571) ~ (all_0_63_63 = e4) % 20.16/5.28 | (572) all_0_63_63 = e2 | all_0_63_63 = e0 % 20.16/5.28 | % 20.16/5.28 +-Applying beta-rule and splitting (167), into two cases. % 20.16/5.28 |-Branch one: % 20.16/5.28 | (395) all_0_58_58 = e3 % 20.16/5.29 | % 20.16/5.29 | Equations (395) can reduce 621 to: % 20.16/5.29 | (251) $false % 20.16/5.29 | % 20.16/5.29 |-The branch is then unsatisfiable % 20.16/5.29 |-Branch two: % 20.16/5.29 | (621) ~ (all_0_58_58 = e3) % 20.16/5.29 | (622) all_0_58_58 = e1 | all_0_58_58 = e0 % 20.16/5.29 | % 20.16/5.29 +-Applying beta-rule and splitting (622), into two cases. % 20.16/5.29 |-Branch one: % 20.16/5.29 | (323) all_0_58_58 = e1 % 20.16/5.29 | % 20.16/5.29 | Equations (323) can reduce 315 to: % 20.16/5.29 | (251) $false % 20.16/5.29 | % 20.16/5.29 |-The branch is then unsatisfiable % 20.16/5.29 |-Branch two: % 20.16/5.29 | (315) ~ (all_0_58_58 = e1) % 20.16/5.29 | (1060) all_0_58_58 = e0 % 20.16/5.29 | % 20.16/5.29 | Equations (1060) can reduce 77 to: % 20.16/5.29 | (274) ~ (e2 = e0) % 20.38/5.29 | % 20.38/5.29 | Simplifying 274 yields: % 20.38/5.29 | (48) ~ (e2 = e0) % 20.38/5.29 | % 20.38/5.29 +-Applying beta-rule and splitting (145), into two cases. % 20.38/5.29 |-Branch one: % 20.38/5.29 | (1077) all_0_59_59 = e0 % 20.38/5.29 | % 20.38/5.29 | Combining equations (1077,364) yields a new equation: % 20.38/5.29 | (355) e2 = e0 % 20.38/5.29 | % 20.38/5.29 | Equations (355) can reduce 48 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (265) ~ (all_0_59_59 = e0) % 20.38/5.29 | (1786) all_0_63_63 = e0 | all_0_67_67 = e0 | all_0_71_71 = e0 % 20.38/5.29 | % 20.38/5.29 +-Applying beta-rule and splitting (1786), into two cases. % 20.38/5.29 |-Branch one: % 20.38/5.29 | (576) all_0_63_63 = e0 % 20.38/5.29 | % 20.38/5.29 | Equations (576) can reduce 470 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (470) ~ (all_0_63_63 = e0) % 20.38/5.29 | (1790) all_0_67_67 = e0 | all_0_71_71 = e0 % 20.38/5.29 | % 20.38/5.29 +-Applying beta-rule and splitting (1790), into two cases. % 20.38/5.29 |-Branch one: % 20.38/5.29 | (1458) all_0_67_67 = e0 % 20.38/5.29 | % 20.38/5.29 | Equations (1458) can reduce 116 to: % 20.38/5.29 | (470) ~ (all_0_63_63 = e0) % 20.38/5.29 | % 20.38/5.29 +-Applying beta-rule and splitting (572), into two cases. % 20.38/5.29 |-Branch one: % 20.38/5.29 | (573) all_0_63_63 = e2 % 20.38/5.29 | % 20.38/5.29 | Equations (573) can reduce 366 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (366) ~ (all_0_63_63 = e2) % 20.38/5.29 | (576) all_0_63_63 = e0 % 20.38/5.29 | % 20.38/5.29 | Equations (576) can reduce 470 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (1182) ~ (all_0_67_67 = e0) % 20.38/5.29 | (469) all_0_71_71 = e0 % 20.38/5.29 | % 20.38/5.29 | Equations (469) can reduce 1532 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (1246) ~ (all_0_65_65 = e4) % 20.38/5.29 | (1802) all_0_65_65 = e1 | all_0_65_65 = e0 % 20.38/5.29 | % 20.38/5.29 +-Applying beta-rule and splitting (1802), into two cases. % 20.38/5.29 |-Branch one: % 20.38/5.29 | (619) all_0_65_65 = e1 % 20.38/5.29 | % 20.38/5.29 | Equations (619) can reduce 308 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (308) ~ (all_0_65_65 = e1) % 20.38/5.29 | (1448) all_0_65_65 = e0 % 20.38/5.29 | % 20.38/5.29 | Equations (1448) can reduce 1154 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (731) ~ (all_0_69_69 = e2) % 20.38/5.29 | (563) all_0_71_71 = e2 % 20.38/5.29 | % 20.38/5.29 | Equations (563) can reduce 370 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (632) ~ (all_0_62_62 = e1) % 20.38/5.29 | (546) all_0_66_66 = e1 % 20.38/5.29 | % 20.38/5.29 | Equations (546) can reduce 248 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (666) ~ (all_0_60_60 = e2) % 20.38/5.29 | (667) all_0_60_60 = e1 | all_0_60_60 = e0 % 20.38/5.29 | % 20.38/5.29 +-Applying beta-rule and splitting (667), into two cases. % 20.38/5.29 |-Branch one: % 20.38/5.29 | (647) all_0_60_60 = e1 % 20.38/5.29 | % 20.38/5.29 | Equations (647) can reduce 651 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (651) ~ (all_0_60_60 = e1) % 20.38/5.29 | (1119) all_0_60_60 = e0 % 20.38/5.29 | % 20.38/5.29 | Equations (1119) can reduce 267 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (642) ~ (all_0_64_64 = e1) % 20.38/5.29 | (703) all_0_65_65 = e1 | all_0_66_66 = e1 % 20.38/5.29 | % 20.38/5.29 +-Applying beta-rule and splitting (172), into two cases. % 20.38/5.29 |-Branch one: % 20.38/5.29 | (258) all_0_56_56 = e1 % 20.38/5.29 | % 20.38/5.29 | Combining equations (258,250) yields a new equation: % 20.38/5.29 | (661) e3 = e1 % 20.38/5.29 | % 20.38/5.29 | Equations (661) can reduce 15 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (245) ~ (all_0_56_56 = e1) % 20.38/5.29 | (291) all_0_60_60 = e1 | all_0_64_64 = e1 % 20.38/5.29 | % 20.38/5.29 +-Applying beta-rule and splitting (291), into two cases. % 20.38/5.29 |-Branch one: % 20.38/5.29 | (647) all_0_60_60 = e1 % 20.38/5.29 | % 20.38/5.29 | Equations (647) can reduce 168 to: % 20.38/5.29 | (712) ~ (all_0_62_62 = e1) % 20.38/5.29 | % 20.38/5.29 | Simplifying 712 yields: % 20.38/5.29 | (632) ~ (all_0_62_62 = e1) % 20.38/5.29 | % 20.38/5.29 +-Applying beta-rule and splitting (326), into two cases. % 20.38/5.29 |-Branch one: % 20.38/5.29 | (327) all_0_62_62 = e1 % 20.38/5.29 | % 20.38/5.29 | Equations (327) can reduce 632 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (632) ~ (all_0_62_62 = e1) % 20.38/5.29 | (546) all_0_66_66 = e1 % 20.38/5.29 | % 20.38/5.29 | Equations (546) can reduce 248 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (651) ~ (all_0_60_60 = e1) % 20.38/5.29 | (306) all_0_64_64 = e1 % 20.38/5.29 | % 20.38/5.29 | Equations (306) can reduce 642 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (635) ~ (all_0_57_57 = e1) % 20.38/5.29 | (1840) all_0_57_57 = e0 % 20.38/5.29 | % 20.38/5.29 | Equations (1840) can reduce 1147 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (546) all_0_66_66 = e1 % 20.38/5.29 | (370) ~ (all_0_71_71 = e2) % 20.38/5.29 | % 20.38/5.29 | Equations (546) can reduce 100 to: % 20.38/5.29 | (642) ~ (all_0_64_64 = e1) % 20.38/5.29 | % 20.38/5.29 | Equations (546) can reduce 66 to: % 20.38/5.29 | (308) ~ (all_0_65_65 = e1) % 20.38/5.29 | % 20.38/5.29 | Equations (546) can reduce 232 to: % 20.38/5.29 | (328) ~ (e2 = e1) % 20.38/5.29 | % 20.38/5.29 | Simplifying 328 yields: % 20.38/5.29 | (184) ~ (e2 = e1) % 20.38/5.29 | % 20.38/5.29 +-Applying beta-rule and splitting (230), into two cases. % 20.38/5.29 |-Branch one: % 20.38/5.29 | (313) all_0_57_57 = e1 % 20.38/5.29 | % 20.38/5.29 | Equations (313) can reduce 50 to: % 20.38/5.29 | (245) ~ (all_0_56_56 = e1) % 20.38/5.29 | % 20.38/5.29 | Equations (313) can reduce 233 to: % 20.38/5.29 | (1850) ~ (all_0_59_59 = e1) % 20.38/5.29 | % 20.38/5.29 | Simplifying 1850 yields: % 20.38/5.29 | (171) ~ (all_0_59_59 = e1) % 20.38/5.29 | % 20.38/5.29 | Equations (313) can reduce 18 to: % 20.38/5.29 | (318) ~ (all_0_69_69 = e1) % 20.38/5.29 | % 20.38/5.29 | Simplifying 318 yields: % 20.38/5.29 | (156) ~ (all_0_69_69 = e1) % 20.38/5.29 | % 20.38/5.29 +-Applying beta-rule and splitting (60), into two cases. % 20.38/5.29 |-Branch one: % 20.38/5.29 | (335) all_0_57_57 = e2 % 20.38/5.29 | % 20.38/5.29 | Combining equations (335,313) yields a new equation: % 20.38/5.29 | (336) e2 = e1 % 20.38/5.29 | % 20.38/5.29 | Simplifying 336 yields: % 20.38/5.29 | (337) e2 = e1 % 20.38/5.29 | % 20.38/5.29 | Equations (337) can reduce 184 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (339) ~ (all_0_57_57 = e2) % 20.38/5.29 | (340) all_0_61_61 = e2 | all_0_69_69 = e2 % 20.38/5.29 | % 20.38/5.29 +-Applying beta-rule and splitting (5), into two cases. % 20.38/5.29 |-Branch one: % 20.38/5.29 | (647) all_0_60_60 = e1 % 20.38/5.29 | % 20.38/5.29 +-Applying beta-rule and splitting (340), into two cases. % 20.38/5.29 |-Branch one: % 20.38/5.29 | (341) all_0_61_61 = e2 % 20.38/5.29 | % 20.38/5.29 | Equations (341) can reduce 244 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (244) ~ (all_0_61_61 = e2) % 20.38/5.29 | (344) all_0_69_69 = e2 % 20.38/5.29 | % 20.38/5.29 | Equations (344) can reduce 104 to: % 20.38/5.29 | (244) ~ (all_0_61_61 = e2) % 20.38/5.29 | % 20.38/5.29 | Equations (344) can reduce 156 to: % 20.38/5.29 | (184) ~ (e2 = e1) % 20.38/5.29 | % 20.38/5.29 +-Applying beta-rule and splitting (177), into two cases. % 20.38/5.29 |-Branch one: % 20.38/5.29 | (254) all_0_56_56 = e2 % 20.38/5.29 | % 20.38/5.29 | Equations (254) can reduce 247 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (247) ~ (all_0_56_56 = e2) % 20.38/5.29 | (358) all_0_57_57 = e2 | all_0_59_59 = e2 % 20.38/5.29 | % 20.38/5.29 +-Applying beta-rule and splitting (358), into two cases. % 20.38/5.29 |-Branch one: % 20.38/5.29 | (335) all_0_57_57 = e2 % 20.38/5.29 | % 20.38/5.29 | Combining equations (335,313) yields a new equation: % 20.38/5.29 | (336) e2 = e1 % 20.38/5.29 | % 20.38/5.29 | Simplifying 336 yields: % 20.38/5.29 | (337) e2 = e1 % 20.38/5.29 | % 20.38/5.29 | Equations (337) can reduce 184 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (339) ~ (all_0_57_57 = e2) % 20.38/5.29 | (364) all_0_59_59 = e2 % 20.38/5.29 | % 20.38/5.29 | Equations (364) can reduce 96 to: % 20.38/5.29 | (365) ~ (all_0_63_63 = e2) % 20.38/5.29 | % 20.38/5.29 | Simplifying 365 yields: % 20.38/5.29 | (366) ~ (all_0_63_63 = e2) % 20.38/5.29 | % 20.38/5.29 | Equations (364) can reduce 171 to: % 20.38/5.29 | (184) ~ (e2 = e1) % 20.38/5.29 | % 20.38/5.29 +-Applying beta-rule and splitting (228), into two cases. % 20.38/5.29 |-Branch one: % 20.38/5.29 | (278) all_0_60_60 = e2 % 20.38/5.29 | % 20.38/5.29 | Combining equations (647,278) yields a new equation: % 20.38/5.29 | (337) e2 = e1 % 20.38/5.29 | % 20.38/5.29 | Equations (337) can reduce 184 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (666) ~ (all_0_60_60 = e2) % 20.38/5.29 | (685) all_0_61_61 = e2 | all_0_63_63 = e2 % 20.38/5.29 | % 20.38/5.29 +-Applying beta-rule and splitting (685), into two cases. % 20.38/5.29 |-Branch one: % 20.38/5.29 | (341) all_0_61_61 = e2 % 20.38/5.29 | % 20.38/5.29 | Equations (341) can reduce 244 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (244) ~ (all_0_61_61 = e2) % 20.38/5.29 | (573) all_0_63_63 = e2 % 20.38/5.29 | % 20.38/5.29 | Equations (573) can reduce 366 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (651) ~ (all_0_60_60 = e1) % 20.38/5.29 | (1891) all_0_61_61 = e1 | all_0_62_62 = e1 % 20.38/5.29 | % 20.38/5.29 +-Applying beta-rule and splitting (172), into two cases. % 20.38/5.29 |-Branch one: % 20.38/5.29 | (258) all_0_56_56 = e1 % 20.38/5.29 | % 20.38/5.29 | Equations (258) can reduce 245 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (245) ~ (all_0_56_56 = e1) % 20.38/5.29 | (291) all_0_60_60 = e1 | all_0_64_64 = e1 % 20.38/5.29 | % 20.38/5.29 +-Applying beta-rule and splitting (291), into two cases. % 20.38/5.29 |-Branch one: % 20.38/5.29 | (647) all_0_60_60 = e1 % 20.38/5.29 | % 20.38/5.29 | Equations (647) can reduce 651 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (651) ~ (all_0_60_60 = e1) % 20.38/5.29 | (306) all_0_64_64 = e1 % 20.38/5.29 | % 20.38/5.29 | Equations (306) can reduce 642 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (635) ~ (all_0_57_57 = e1) % 20.38/5.29 | (636) all_0_61_61 = e1 | all_0_65_65 = e1 % 20.38/5.29 | % 20.38/5.29 +-Applying beta-rule and splitting (636), into two cases. % 20.38/5.29 |-Branch one: % 20.38/5.29 | (523) all_0_61_61 = e1 % 20.38/5.29 | % 20.38/5.29 | Equations (523) can reduce 246 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (246) ~ (all_0_61_61 = e1) % 20.38/5.29 | (619) all_0_65_65 = e1 % 20.38/5.29 | % 20.38/5.29 | Equations (619) can reduce 308 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (254) all_0_56_56 = e2 % 20.38/5.29 | (534) ~ (all_0_66_66 = e4) % 20.38/5.29 | % 20.38/5.29 | Equations (254) can reduce 50 to: % 20.38/5.29 | (1910) ~ (all_0_57_57 = e2) % 20.38/5.29 | % 20.38/5.29 | Simplifying 1910 yields: % 20.38/5.29 | (339) ~ (all_0_57_57 = e2) % 20.38/5.29 | % 20.38/5.29 | Equations (254) can reduce 43 to: % 20.38/5.29 | (1912) ~ (all_0_58_58 = e2) % 20.38/5.29 | % 20.38/5.29 | Simplifying 1912 yields: % 20.38/5.29 | (77) ~ (all_0_58_58 = e2) % 20.38/5.29 | % 20.38/5.29 | Equations (254) can reduce 154 to: % 20.38/5.29 | (1160) ~ (all_0_59_59 = e2) % 20.38/5.29 | % 20.38/5.29 | Simplifying 1160 yields: % 20.38/5.29 | (1029) ~ (all_0_59_59 = e2) % 20.38/5.29 | % 20.38/5.29 | Equations (254) can reduce 122 to: % 20.38/5.29 | (1916) ~ (all_0_64_64 = e2) % 20.38/5.29 | % 20.38/5.29 | Simplifying 1916 yields: % 20.38/5.29 | (198) ~ (all_0_64_64 = e2) % 20.38/5.29 | % 20.38/5.29 +-Applying beta-rule and splitting (60), into two cases. % 20.38/5.29 |-Branch one: % 20.38/5.29 | (335) all_0_57_57 = e2 % 20.38/5.29 | % 20.38/5.29 | Equations (335) can reduce 339 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (339) ~ (all_0_57_57 = e2) % 20.38/5.29 | (340) all_0_61_61 = e2 | all_0_69_69 = e2 % 20.38/5.29 | % 20.38/5.29 +-Applying beta-rule and splitting (340), into two cases. % 20.38/5.29 |-Branch one: % 20.38/5.29 | (341) all_0_61_61 = e2 % 20.38/5.29 | % 20.38/5.29 | Equations (341) can reduce 244 to: % 20.38/5.29 | (251) $false % 20.38/5.29 | % 20.38/5.29 |-The branch is then unsatisfiable % 20.38/5.29 |-Branch two: % 20.38/5.29 | (244) ~ (all_0_61_61 = e2) % 20.38/5.29 | (344) all_0_69_69 = e2 % 20.38/5.29 | % 20.38/5.29 | Equations (344) can reduce 18 to: % 20.38/5.29 | (339) ~ (all_0_57_57 = e2) % 20.38/5.29 | % 20.38/5.29 | Equations (344) can reduce 194 to: % 20.38/5.29 | (987) ~ (all_0_68_68 = e2) % 20.38/5.29 | % 20.38/5.29 | Equations (344) can reduce 221 to: % 20.38/5.30 | (1283) ~ (all_0_70_70 = e2) % 20.38/5.30 | % 20.38/5.30 | Simplifying 1283 yields: % 20.38/5.30 | (7) ~ (all_0_70_70 = e2) % 20.38/5.30 | % 20.38/5.30 | Equations (344) can reduce 47 to: % 20.38/5.30 | (369) ~ (all_0_71_71 = e2) % 20.38/5.30 | % 20.38/5.30 | Simplifying 369 yields: % 20.38/5.30 | (370) ~ (all_0_71_71 = e2) % 20.38/5.30 | % 20.38/5.30 | From (344) and (105) follows: % 20.38/5.30 | (350) op(e3, e2) = all_0_40_40 % 20.38/5.30 | % 20.38/5.30 | From (344) and (163) follows: % 20.38/5.30 | (351) op(e1, e2) = all_0_41_41 % 20.38/5.30 | % 20.38/5.30 +-Applying beta-rule and splitting (147), into two cases. % 20.38/5.30 |-Branch one: % 20.38/5.30 | (364) all_0_59_59 = e2 % 20.38/5.30 | % 20.38/5.30 | Equations (364) can reduce 1029 to: % 20.38/5.30 | (251) $false % 20.38/5.30 | % 20.38/5.30 |-The branch is then unsatisfiable % 20.38/5.30 |-Branch two: % 20.38/5.30 | (1029) ~ (all_0_59_59 = e2) % 20.38/5.30 | (1303) all_0_63_63 = e2 | all_0_71_71 = e2 % 20.38/5.30 | % 20.38/5.30 +-Applying beta-rule and splitting (1303), into two cases. % 20.38/5.30 |-Branch one: % 20.38/5.30 | (573) all_0_63_63 = e2 % 20.38/5.30 | % 20.38/5.30 | Equations (573) can reduce 96 to: % 20.38/5.30 | (1029) ~ (all_0_59_59 = e2) % 20.38/5.30 | % 20.38/5.30 | Equations (573) can reduce 76 to: % 20.38/5.30 | (666) ~ (all_0_60_60 = e2) % 20.38/5.30 | % 20.38/5.30 | Equations (573) can reduce 44 to: % 20.38/5.30 | (244) ~ (all_0_61_61 = e2) % 20.38/5.30 | % 20.38/5.30 | Equations (573) can reduce 70 to: % 20.38/5.30 | (217) ~ (all_0_62_62 = e2) % 20.38/5.30 | % 20.38/5.30 | Equations (573) can reduce 226 to: % 20.38/5.30 | (369) ~ (all_0_71_71 = e2) % 20.38/5.30 | % 20.38/5.30 | Simplifying 369 yields: % 20.38/5.30 | (370) ~ (all_0_71_71 = e2) % 20.38/5.30 | % 20.38/5.30 | Equations (573) can reduce 220 to: % 20.38/5.30 | (345) ~ (e3 = e2) % 20.38/5.30 | % 20.38/5.30 | Simplifying 345 yields: % 20.38/5.30 | (128) ~ (e3 = e2) % 20.38/5.30 | % 20.38/5.30 | Equations (573) can reduce 119 to: % 20.38/5.30 | (184) ~ (e2 = e1) % 20.38/5.30 | % 20.38/5.30 | From (573) and (235) follows: % 20.38/5.30 | (751) op(e3, e2) = all_0_52_52 % 20.38/5.30 | % 20.38/5.30 | From (573) and (129) follows: % 20.38/5.30 | (752) op(e3, e1) = e2 % 20.38/5.30 | % 20.38/5.30 | From (573) and (65) follows: % 20.38/5.30 | (753) op(e1, e2) = all_0_51_51 % 20.38/5.30 | % 20.38/5.30 | Instantiating formula (61) with e3, e2, all_0_40_40, all_0_62_62 and discharging atoms op(e3, e2) = all_0_40_40, op(e3, e2) = all_0_62_62, yields: % 20.38/5.30 | (1951) all_0_40_40 = all_0_62_62 % 20.38/5.30 | % 20.38/5.30 | Instantiating formula (61) with e3, e2, all_0_52_52, all_0_40_40 and discharging atoms op(e3, e2) = all_0_40_40, op(e3, e2) = all_0_52_52, yields: % 20.38/5.30 | (1952) all_0_40_40 = all_0_52_52 % 20.38/5.30 | % 20.38/5.30 | Instantiating formula (61) with e1, e2, all_0_41_41, all_0_70_70 and discharging atoms op(e1, e2) = all_0_41_41, op(e1, e2) = all_0_70_70, yields: % 20.38/5.30 | (422) all_0_41_41 = all_0_70_70 % 20.38/5.30 | % 20.38/5.30 | Instantiating formula (61) with e1, e2, all_0_51_51, all_0_41_41 and discharging atoms op(e1, e2) = all_0_41_41, op(e1, e2) = all_0_51_51, yields: % 20.38/5.30 | (1954) all_0_41_41 = all_0_51_51 % 20.38/5.30 | % 20.38/5.30 | Combining equations (1952,1951) yields a new equation: % 20.38/5.30 | (1955) all_0_52_52 = all_0_62_62 % 20.38/5.30 | % 20.38/5.30 | Simplifying 1955 yields: % 20.38/5.30 | (828) all_0_52_52 = all_0_62_62 % 20.38/5.30 | % 20.38/5.30 | Combining equations (1954,422) yields a new equation: % 20.38/5.30 | (1957) all_0_51_51 = all_0_70_70 % 20.38/5.30 | % 20.38/5.30 | Simplifying 1957 yields: % 20.38/5.30 | (1958) all_0_51_51 = all_0_70_70 % 20.38/5.30 | % 20.38/5.30 | From (828) and (751) follows: % 20.38/5.30 | (84) op(e3, e2) = all_0_62_62 % 20.38/5.30 | % 20.38/5.30 | From (1958) and (753) follows: % 20.38/5.30 | (81) op(e1, e2) = all_0_70_70 % 20.38/5.30 | % 20.38/5.30 +-Applying beta-rule and splitting (42), into two cases. % 20.38/5.30 |-Branch one: % 20.38/5.30 | (845) all_0_62_62 = e4 % 20.38/5.30 | % 20.38/5.30 | Equations (845) can reduce 189 to: % 20.38/5.30 | (512) ~ (all_0_61_61 = e4) % 20.38/5.30 | % 20.38/5.30 | Equations (845) can reduce 208 to: % 20.38/5.30 | (1236) ~ (all_0_70_70 = e4) % 20.38/5.30 | % 20.38/5.30 | Simplifying 1236 yields: % 20.38/5.30 | (567) ~ (all_0_70_70 = e4) % 20.38/5.30 | % 20.38/5.30 | Equations (845) can reduce 217 to: % 20.38/5.30 | (49) ~ (e4 = e2) % 20.38/5.30 | % 20.38/5.30 | From (845) and (84) follows: % 20.38/5.30 | (1241) op(e3, e2) = e4 % 20.38/5.30 | % 20.38/5.30 +-Applying beta-rule and splitting (157), into two cases. % 20.38/5.30 |-Branch one: % 20.38/5.30 | (478) all_0_69_69 = e4 % 20.38/5.30 | % 20.38/5.30 | Combining equations (478,344) yields a new equation: % 20.38/5.30 | (479) e4 = e2 % 20.38/5.30 | % 20.38/5.30 | Simplifying 479 yields: % 20.38/5.30 | (480) e4 = e2 % 20.38/5.30 | % 20.38/5.30 | Equations (480) can reduce 49 to: % 20.38/5.30 | (251) $false % 20.38/5.30 | % 20.38/5.30 |-The branch is then unsatisfiable % 20.38/5.30 |-Branch two: % 20.38/5.30 | (482) ~ (all_0_69_69 = e4) % 20.38/5.30 | (483) all_0_70_70 = e4 | all_0_71_71 = e4 % 20.38/5.30 | % 20.38/5.30 +-Applying beta-rule and splitting (149), into two cases. % 20.38/5.30 |-Branch one: % 20.38/5.30 | (509) all_0_61_61 = e4 % 20.38/5.30 | % 20.38/5.30 | Equations (509) can reduce 512 to: % 20.38/5.30 | (251) $false % 20.38/5.30 | % 20.38/5.30 |-The branch is then unsatisfiable % 20.38/5.30 |-Branch two: % 20.38/5.30 | (512) ~ (all_0_61_61 = e4) % 20.38/5.30 | (1976) all_0_65_65 = e4 | all_0_69_69 = e4 % 20.38/5.30 | % 20.38/5.30 +-Applying beta-rule and splitting (483), into two cases. % 20.38/5.30 |-Branch one: % 20.38/5.30 | (500) all_0_70_70 = e4 % 20.38/5.30 | % 20.38/5.30 | Equations (500) can reduce 567 to: % 20.38/5.30 | (251) $false % 20.38/5.30 | % 20.38/5.30 |-The branch is then unsatisfiable % 20.38/5.30 |-Branch two: % 20.38/5.30 | (567) ~ (all_0_70_70 = e4) % 20.38/5.30 | (552) all_0_71_71 = e4 % 20.38/5.30 | % 20.38/5.30 | Equations (552) can reduce 370 to: % 20.38/5.30 | (49) ~ (e4 = e2) % 20.38/5.30 | % 20.38/5.30 | Equations (552) can reduce 200 to: % 20.38/5.30 | (193) ~ (e4 = e1) % 20.38/5.30 | % 20.38/5.30 +-Applying beta-rule and splitting (138), into two cases. % 20.38/5.30 |-Branch one: % 20.38/5.30 | (1243) all_0_65_65 = e4 % 20.38/5.30 | % 20.38/5.30 | Equations (1243) can reduce 91 to: % 20.38/5.30 | (141) ~ (all_0_57_57 = e4) % 20.38/5.30 | % 20.38/5.30 | Equations (1243) can reduce 191 to: % 20.38/5.30 | (115) ~ (all_0_64_64 = e4) % 20.38/5.30 | % 20.38/5.30 | Equations (1243) can reduce 66 to: % 20.38/5.30 | (1234) ~ (all_0_66_66 = e4) % 20.38/5.30 | % 20.38/5.30 | Simplifying 1234 yields: % 20.38/5.30 | (534) ~ (all_0_66_66 = e4) % 20.38/5.30 | % 20.38/5.30 | Equations (1243) can reduce 164 to: % 20.38/5.30 | (1580) ~ (all_0_67_67 = e4) % 20.38/5.30 | % 20.38/5.30 | Simplifying 1580 yields: % 20.38/5.30 | (1581) ~ (all_0_67_67 = e4) % 20.38/5.30 | % 20.38/5.30 | Equations (1243) can reduce 75 to: % 20.38/5.30 | (130) ~ (e4 = e3) % 20.38/5.30 | % 20.38/5.30 +-Applying beta-rule and splitting (5), into two cases. % 20.38/5.30 |-Branch one: % 20.38/5.30 | (647) all_0_60_60 = e1 % 20.38/5.30 | % 20.38/5.30 | Equations (647) can reduce 218 to: % 20.38/5.30 | (673) ~ (all_0_64_64 = e1) % 20.38/5.30 | % 20.38/5.30 | Simplifying 673 yields: % 20.38/5.30 | (642) ~ (all_0_64_64 = e1) % 20.38/5.30 | % 20.38/5.30 | Equations (647) can reduce 83 to: % 20.38/5.30 | (675) ~ (all_0_68_68 = e1) % 20.38/5.30 | % 20.38/5.30 | Simplifying 675 yields: % 20.38/5.30 | (108) ~ (all_0_68_68 = e1) % 20.38/5.30 | % 20.38/5.30 | From (647) and (64) follows: % 20.38/5.30 | (680) op(e3, e1) = all_0_30_30 % 20.38/5.30 | % 20.38/5.30 +-Applying beta-rule and splitting (213), into two cases. % 20.38/5.30 |-Branch one: % 20.38/5.30 | (1119) all_0_60_60 = e0 % 20.38/5.30 | % 20.38/5.30 | Combining equations (647,1119) yields a new equation: % 20.38/5.30 | (287) e1 = e0 % 20.38/5.30 | % 20.38/5.30 | Simplifying 287 yields: % 20.38/5.30 | (288) e1 = e0 % 20.38/5.30 | % 20.38/5.30 | Equations (288) can reduce 204 to: % 20.38/5.30 | (251) $false % 20.38/5.30 | % 20.38/5.30 |-The branch is then unsatisfiable % 20.38/5.30 |-Branch two: % 20.38/5.30 | (267) ~ (all_0_60_60 = e0) % 20.38/5.30 | (2002) all_0_61_61 = e0 | all_0_62_62 = e0 | all_0_63_63 = e0 % 20.38/5.30 | % 20.38/5.30 +-Applying beta-rule and splitting (2002), into two cases. % 20.38/5.30 |-Branch one: % 20.38/5.30 | (467) all_0_61_61 = e0 % 20.38/5.30 | % 20.38/5.30 | Equations (467) can reduce 126 to: % 20.38/5.30 | (1147) ~ (all_0_57_57 = e0) % 20.38/5.30 | % 20.38/5.30 | Equations (467) can reduce 87 to: % 20.38/5.30 | (272) ~ (e3 = e0) % 20.38/5.30 | % 20.38/5.30 | Simplifying 272 yields: % 20.38/5.30 | (36) ~ (e3 = e0) % 20.38/5.30 | % 20.38/5.30 +-Applying beta-rule and splitting (230), into two cases. % 20.38/5.30 |-Branch one: % 20.38/5.30 | (313) all_0_57_57 = e1 % 20.38/5.30 | % 20.38/5.30 | Equations (313) can reduce 233 to: % 20.38/5.30 | (1850) ~ (all_0_59_59 = e1) % 20.38/5.30 | % 20.38/5.30 | Simplifying 1850 yields: % 20.38/5.30 | (171) ~ (all_0_59_59 = e1) % 20.38/5.30 | % 20.38/5.30 | Equations (313) can reduce 141 to: % 20.38/5.30 | (2010) ~ (e4 = e1) % 20.38/5.30 | % 20.38/5.30 | Simplifying 2010 yields: % 20.38/5.30 | (193) ~ (e4 = e1) % 20.38/5.30 | % 20.38/5.30 | From (313) and (67) follows: % 20.38/5.30 | (322) op(e3, e1) = all_0_35_35 % 20.38/5.30 | % 20.38/5.30 +-Applying beta-rule and splitting (166), into two cases. % 20.38/5.30 |-Branch one: % 20.38/5.30 | (306) all_0_64_64 = e1 % 20.38/5.30 | % 20.38/5.30 | Equations (306) can reduce 642 to: % 20.38/5.30 | (251) $false % 20.38/5.30 | % 20.38/5.30 |-The branch is then unsatisfiable % 20.38/5.30 |-Branch two: % 20.38/5.30 | (642) ~ (all_0_64_64 = e1) % 20.38/5.30 | (703) all_0_65_65 = e1 | all_0_66_66 = e1 % 20.38/5.30 | % 20.38/5.30 +-Applying beta-rule and splitting (703), into two cases. % 20.38/5.30 |-Branch one: % 20.38/5.30 | (619) all_0_65_65 = e1 % 20.38/5.30 | % 20.38/5.30 | Combining equations (1243,619) yields a new equation: % 20.38/5.30 | (2018) e4 = e1 % 20.38/5.30 | % 20.38/5.30 | Simplifying 2018 yields: % 20.38/5.30 | (1244) e4 = e1 % 20.38/5.30 | % 20.38/5.30 | Equations (1244) can reduce 193 to: % 20.38/5.30 | (251) $false % 20.38/5.30 | % 20.38/5.30 |-The branch is then unsatisfiable % 20.38/5.30 |-Branch two: % 20.38/5.30 | (308) ~ (all_0_65_65 = e1) % 20.38/5.30 | (546) all_0_66_66 = e1 % 20.38/5.30 | % 20.38/5.30 | Equations (546) can reduce 216 to: % 20.38/5.30 | (315) ~ (all_0_58_58 = e1) % 20.38/5.30 | % 20.38/5.30 | Equations (546) can reduce 100 to: % 20.38/5.30 | (642) ~ (all_0_64_64 = e1) % 20.38/5.30 | % 20.38/5.30 | Equations (546) can reduce 534 to: % 20.38/5.30 | (2010) ~ (e4 = e1) % 20.38/5.30 | % 20.38/5.30 | Simplifying 2010 yields: % 20.38/5.30 | (193) ~ (e4 = e1) % 20.38/5.30 | % 20.38/5.30 | Instantiating formula (61) with e3, e1, all_0_30_30, e2 and discharging atoms op(e3, e1) = all_0_30_30, op(e3, e1) = e2, yields: % 20.38/5.30 | (785) all_0_30_30 = e2 % 20.38/5.30 | % 20.38/5.30 | Instantiating formula (61) with e3, e1, all_0_35_35, all_0_30_30 and discharging atoms op(e3, e1) = all_0_30_30, op(e3, e1) = all_0_35_35, yields: % 20.38/5.30 | (2028) all_0_30_30 = all_0_35_35 % 20.38/5.30 | % 20.38/5.30 | Combining equations (785,2028) yields a new equation: % 20.38/5.30 | (2029) all_0_35_35 = e2 % 20.38/5.30 | % 20.38/5.30 | From (2029) and (322) follows: % 20.38/5.30 | (752) op(e3, e1) = e2 % 20.38/5.30 | % 20.38/5.30 +-Applying beta-rule and splitting (33), into two cases. % 20.38/5.30 |-Branch one: % 20.38/5.30 | (292) all_0_68_68 = e3 % 20.38/5.30 | % 20.38/5.30 | Equations (292) can reduce 155 to: % 20.38/5.30 | (293) ~ (all_0_64_64 = e3) % 20.38/5.30 | % 20.38/5.30 | Equations (292) can reduce 205 to: % 20.38/5.30 | (396) ~ (all_0_70_70 = e3) % 20.38/5.30 | % 20.38/5.30 | Simplifying 396 yields: % 20.38/5.30 | (397) ~ (all_0_70_70 = e3) % 20.38/5.30 | % 20.38/5.30 | Equations (292) can reduce 108 to: % 20.38/5.30 | (15) ~ (e3 = e1) % 20.38/5.30 | % 20.38/5.30 +-Applying beta-rule and splitting (54), into two cases. % 20.38/5.30 |-Branch one: % 20.38/5.30 | (395) all_0_58_58 = e3 % 20.38/5.30 | % 20.38/5.30 | Equations (395) can reduce 224 to: % 20.38/5.30 | (396) ~ (all_0_70_70 = e3) % 20.38/5.30 | % 20.38/5.30 | Simplifying 396 yields: % 20.38/5.30 | (397) ~ (all_0_70_70 = e3) % 20.38/5.30 | % 20.38/5.30 | Equations (395) can reduce 315 to: % 20.38/5.30 | (15) ~ (e3 = e1) % 20.38/5.30 | % 20.38/5.30 | From (395) and (31) follows: % 20.38/5.30 | (398) op(e3, e2) = all_0_4_4 % 20.38/5.30 | % 20.38/5.30 +-Applying beta-rule and splitting (170), into two cases. % 20.38/5.30 |-Branch one: % 20.38/5.30 | (302) all_0_64_64 = e3 % 20.38/5.30 | % 20.38/5.30 | Equations (302) can reduce 293 to: % 20.38/5.30 | (251) $false % 20.38/5.30 | % 20.38/5.30 |-The branch is then unsatisfiable % 20.38/5.30 |-Branch two: % 20.38/5.30 | (293) ~ (all_0_64_64 = e3) % 20.38/5.30 | (1266) all_0_66_66 = e3 | all_0_67_67 = e3 % 20.38/5.30 | % 20.38/5.30 +-Applying beta-rule and splitting (57), into two cases. % 20.38/5.30 |-Branch one: % 20.38/5.30 | (988) all_0_68_68 = e0 % 20.38/5.30 | % 20.38/5.30 | Combining equations (988,292) yields a new equation: % 20.38/5.30 | (391) e3 = e0 % 20.38/5.30 | % 20.38/5.30 | Equations (391) can reduce 36 to: % 20.38/5.30 | (251) $false % 20.38/5.30 | % 20.38/5.30 |-The branch is then unsatisfiable % 20.38/5.30 |-Branch two: % 20.38/5.30 | (271) ~ (all_0_68_68 = e0) % 20.38/5.31 | (2049) all_0_69_69 = e0 | all_0_70_70 = e0 | all_0_71_71 = e0 % 20.38/5.31 | % 20.38/5.31 | Equations (292) can reduce 271 to: % 20.38/5.31 | (36) ~ (e3 = e0) % 20.38/5.31 | % 20.38/5.31 +-Applying beta-rule and splitting (45), into two cases. % 20.38/5.31 |-Branch one: % 20.38/5.31 | (302) all_0_64_64 = e3 % 20.38/5.31 | % 20.38/5.31 | Equations (302) can reduce 293 to: % 20.38/5.31 | (251) $false % 20.38/5.31 | % 20.38/5.31 |-The branch is then unsatisfiable % 20.38/5.31 |-Branch two: % 20.38/5.31 | (293) ~ (all_0_64_64 = e3) % 20.38/5.31 | (305) all_0_64_64 = e1 | all_0_64_64 = e0 % 20.38/5.31 | % 20.38/5.31 +-Applying beta-rule and splitting (142), into two cases. % 20.38/5.31 |-Branch one: % 20.38/5.31 | (1060) all_0_58_58 = e0 % 20.38/5.31 | % 20.38/5.31 | Combining equations (1060,395) yields a new equation: % 20.38/5.31 | (391) e3 = e0 % 20.38/5.31 | % 20.38/5.31 | Equations (391) can reduce 36 to: % 20.38/5.31 | (251) $false % 20.38/5.31 | % 20.38/5.31 |-The branch is then unsatisfiable % 20.38/5.31 |-Branch two: % 20.38/5.31 | (263) ~ (all_0_58_58 = e0) % 20.38/5.31 | (2059) all_0_62_62 = e0 | all_0_66_66 = e0 | all_0_70_70 = e0 % 20.38/5.31 | % 20.38/5.31 +-Applying beta-rule and splitting (1266), into two cases. % 20.38/5.31 |-Branch one: % 20.38/5.31 | (538) all_0_66_66 = e3 % 20.38/5.31 | % 20.38/5.31 | Combining equations (546,538) yields a new equation: % 20.38/5.31 | (661) e3 = e1 % 20.38/5.31 | % 20.38/5.31 | Equations (661) can reduce 15 to: % 20.38/5.31 | (251) $false % 20.38/5.31 | % 20.38/5.31 |-The branch is then unsatisfiable % 20.38/5.31 |-Branch two: % 20.38/5.31 | (542) ~ (all_0_66_66 = e3) % 20.38/5.31 | (380) all_0_67_67 = e3 % 20.38/5.31 | % 20.38/5.31 | From (380) and (143) follows: % 20.38/5.31 | (384) op(e3, e2) = all_0_19_19 % 20.38/5.31 | % 20.38/5.31 | From (380) and (52) follows: % 20.38/5.31 | (385) op(e3, e1) = all_0_20_20 % 20.38/5.31 | % 20.38/5.31 +-Applying beta-rule and splitting (305), into two cases. % 20.38/5.31 |-Branch one: % 20.38/5.31 | (306) all_0_64_64 = e1 % 20.38/5.31 | % 20.38/5.31 | Equations (306) can reduce 642 to: % 20.38/5.31 | (251) $false % 20.38/5.31 | % 20.38/5.31 |-The branch is then unsatisfiable % 20.38/5.31 |-Branch two: % 20.38/5.31 | (642) ~ (all_0_64_64 = e1) % 20.38/5.31 | (643) all_0_64_64 = e0 % 20.38/5.31 | % 20.38/5.31 | Equations (643) can reduce 115 to: % 20.38/5.31 | (514) ~ (e4 = e0) % 20.38/5.31 | % 20.38/5.31 | Simplifying 514 yields: % 20.38/5.31 | (17) ~ (e4 = e0) % 20.38/5.31 | % 20.38/5.31 | Equations (643) can reduce 198 to: % 20.38/5.31 | (274) ~ (e2 = e0) % 20.38/5.31 | % 20.38/5.31 | Simplifying 274 yields: % 20.38/5.31 | (48) ~ (e2 = e0) % 20.38/5.31 | % 20.38/5.31 +-Applying beta-rule and splitting (2049), into two cases. % 20.38/5.31 |-Branch one: % 20.38/5.31 | (1481) all_0_69_69 = e0 % 20.38/5.31 | % 20.38/5.31 | Combining equations (344,1481) yields a new equation: % 20.38/5.31 | (354) e2 = e0 % 20.38/5.31 | % 20.38/5.31 | Simplifying 354 yields: % 20.38/5.31 | (355) e2 = e0 % 20.38/5.31 | % 20.38/5.31 | Equations (355) can reduce 48 to: % 20.38/5.31 | (251) $false % 20.38/5.31 | % 20.38/5.31 |-The branch is then unsatisfiable % 20.38/5.31 |-Branch two: % 20.38/5.31 | (1156) ~ (all_0_69_69 = e0) % 20.38/5.31 | (2080) all_0_70_70 = e0 | all_0_71_71 = e0 % 20.38/5.31 | % 20.38/5.31 +-Applying beta-rule and splitting (2059), into two cases. % 20.38/5.31 |-Branch one: % 20.38/5.31 | (925) all_0_62_62 = e0 % 20.38/5.31 | % 20.38/5.31 | Combining equations (845,925) yields a new equation: % 20.38/5.31 | (531) e4 = e0 % 20.38/5.31 | % 20.38/5.31 | Simplifying 531 yields: % 20.38/5.31 | (510) e4 = e0 % 20.38/5.31 | % 20.38/5.31 | Equations (510) can reduce 17 to: % 20.38/5.31 | (251) $false % 20.38/5.31 | % 20.38/5.31 |-The branch is then unsatisfiable % 20.38/5.31 |-Branch two: % 20.38/5.31 | (838) ~ (all_0_62_62 = e0) % 20.38/5.31 | (2086) all_0_66_66 = e0 | all_0_70_70 = e0 % 20.38/5.31 | % 20.38/5.31 | Equations (845) can reduce 838 to: % 20.38/5.31 | (17) ~ (e4 = e0) % 20.38/5.31 | % 20.38/5.31 +-Applying beta-rule and splitting (2080), into two cases. % 20.38/5.31 |-Branch one: % 20.38/5.31 | (1323) all_0_70_70 = e0 % 20.38/5.31 | % 20.38/5.31 | Equations (1323) can reduce 397 to: % 20.38/5.31 | (272) ~ (e3 = e0) % 20.38/5.31 | % 20.38/5.31 | Simplifying 272 yields: % 20.38/5.31 | (36) ~ (e3 = e0) % 20.38/5.31 | % 20.38/5.31 | Instantiating formula (61) with e3, e2, all_0_4_4, e4 and discharging atoms op(e3, e2) = all_0_4_4, op(e3, e2) = e4, yields: % 20.38/5.31 | (2091) all_0_4_4 = e4 % 20.38/5.31 | % 20.38/5.31 | Instantiating formula (61) with e3, e2, all_0_19_19, all_0_4_4 and discharging atoms op(e3, e2) = all_0_4_4, op(e3, e2) = all_0_19_19, yields: % 20.38/5.31 | (401) all_0_4_4 = all_0_19_19 % 20.38/5.31 | % 20.38/5.31 | Instantiating formula (61) with e3, e1, all_0_20_20, e2 and discharging atoms op(e3, e1) = all_0_20_20, op(e3, e1) = e2, yields: % 20.38/5.31 | (2093) all_0_20_20 = e2 % 20.38/5.31 | % 20.38/5.31 | Combining equations (2091,401) yields a new equation: % 20.38/5.31 | (2094) all_0_19_19 = e4 % 20.38/5.31 | % 20.38/5.31 +-Applying beta-rule and splitting (199), into two cases. % 20.38/5.31 |-Branch one: % 20.38/5.31 | (2095) ~ (all_0_20_20 = e2) % 20.38/5.31 | % 20.38/5.31 | Equations (2093) can reduce 2095 to: % 20.38/5.31 | (251) $false % 20.38/5.31 | % 20.38/5.31 |-The branch is then unsatisfiable % 20.38/5.31 |-Branch two: % 20.38/5.31 | (2093) all_0_20_20 = e2 % 20.38/5.31 | (2098) all_0_19_19 = e1 | all_0_67_67 = all_0_70_70 % 20.38/5.31 | % 20.38/5.31 +-Applying beta-rule and splitting (2098), into two cases. % 20.38/5.31 |-Branch one: % 20.38/5.31 | (404) all_0_19_19 = e1 % 20.38/5.31 | % 20.38/5.31 | Combining equations (404,2094) yields a new equation: % 20.38/5.31 | (1244) e4 = e1 % 20.38/5.31 | % 20.38/5.31 | Equations (1244) can reduce 193 to: % 20.38/5.31 | (251) $false % 20.38/5.31 | % 20.38/5.31 |-The branch is then unsatisfiable % 20.38/5.31 |-Branch two: % 20.38/5.31 | (2102) ~ (all_0_19_19 = e1) % 20.38/5.31 | (2103) all_0_67_67 = all_0_70_70 % 20.38/5.31 | % 20.38/5.31 | Combining equations (2103,380) yields a new equation: % 20.38/5.31 | (596) all_0_70_70 = e3 % 20.38/5.31 | % 20.38/5.31 | Simplifying 596 yields: % 20.38/5.31 | (597) all_0_70_70 = e3 % 20.38/5.31 | % 20.38/5.31 | Combining equations (597,1323) yields a new equation: % 20.38/5.31 | (390) e3 = e0 % 20.38/5.31 | % 20.38/5.31 | Simplifying 390 yields: % 20.38/5.31 | (391) e3 = e0 % 20.38/5.31 | % 20.38/5.31 | Equations (391) can reduce 36 to: % 20.38/5.31 | (251) $false % 20.38/5.31 | % 20.38/5.31 |-The branch is then unsatisfiable % 20.38/5.31 |-Branch two: % 20.38/5.31 | (471) ~ (all_0_70_70 = e0) % 20.38/5.31 | (469) all_0_71_71 = e0 % 20.38/5.31 | % 20.38/5.31 | Combining equations (469,552) yields a new equation: % 20.38/5.31 | (510) e4 = e0 % 20.38/5.31 | % 20.38/5.31 | Equations (510) can reduce 17 to: % 20.38/5.31 | (251) $false % 20.38/5.31 | % 20.38/5.31 |-The branch is then unsatisfiable % 20.38/5.31 |-Branch two: % 20.38/5.31 | (621) ~ (all_0_58_58 = e3) % 20.38/5.31 | (758) all_0_66_66 = e3 | all_0_70_70 = e3 % 20.38/5.31 | % 20.38/5.31 +-Applying beta-rule and splitting (758), into two cases. % 20.38/5.31 |-Branch one: % 20.38/5.31 | (538) all_0_66_66 = e3 % 20.38/5.31 | % 20.38/5.31 | Combining equations (546,538) yields a new equation: % 20.38/5.31 | (661) e3 = e1 % 20.38/5.31 | % 20.38/5.31 | Equations (661) can reduce 15 to: % 20.38/5.31 | (251) $false % 20.38/5.31 | % 20.38/5.31 |-The branch is then unsatisfiable % 20.38/5.31 |-Branch two: % 20.38/5.31 | (542) ~ (all_0_66_66 = e3) % 20.38/5.31 | (597) all_0_70_70 = e3 % 20.38/5.31 | % 20.38/5.31 | Equations (597) can reduce 397 to: % 20.38/5.31 | (251) $false % 20.38/5.31 | % 20.38/5.31 |-The branch is then unsatisfiable % 20.38/5.31 |-Branch two: % 20.38/5.31 | (645) ~ (all_0_68_68 = e3) % 20.38/5.31 | (1050) all_0_70_70 = e3 | all_0_71_71 = e3 % 20.38/5.31 | % 20.38/5.31 +-Applying beta-rule and splitting (239), into two cases. % 20.38/5.31 |-Branch one: % 20.38/5.31 | (292) all_0_68_68 = e3 % 20.38/5.31 | % 20.38/5.31 | Equations (292) can reduce 645 to: % 20.38/5.31 | (251) $false % 20.38/5.31 | % 20.38/5.31 |-The branch is then unsatisfiable % 20.38/5.31 |-Branch two: % 20.38/5.31 | (645) ~ (all_0_68_68 = e3) % 20.38/5.31 | (646) all_0_68_68 = e2 | all_0_68_68 = e0 % 20.38/5.31 | % 20.38/5.31 +-Applying beta-rule and splitting (1050), into two cases. % 20.38/5.31 |-Branch one: % 20.38/5.31 | (597) all_0_70_70 = e3 % 20.38/5.31 | % 20.38/5.31 | Equations (597) can reduce 224 to: % 20.38/5.31 | (621) ~ (all_0_58_58 = e3) % 20.38/5.31 | % 20.38/5.31 | Equations (597) can reduce 7 to: % 20.38/5.31 | (128) ~ (e3 = e2) % 20.38/5.31 | % 20.38/5.31 +-Applying beta-rule and splitting (167), into two cases. % 20.38/5.31 |-Branch one: % 20.38/5.31 | (395) all_0_58_58 = e3 % 20.38/5.31 | % 20.38/5.31 | Equations (395) can reduce 621 to: % 20.38/5.31 | (251) $false % 20.38/5.31 | % 20.38/5.31 |-The branch is then unsatisfiable % 20.38/5.31 |-Branch two: % 20.38/5.31 | (621) ~ (all_0_58_58 = e3) % 20.38/5.31 | (622) all_0_58_58 = e1 | all_0_58_58 = e0 % 20.38/5.31 | % 20.38/5.31 +-Applying beta-rule and splitting (209), into two cases. % 20.38/5.31 |-Branch one: % 20.38/5.31 | (250) all_0_56_56 = e3 % 20.38/5.31 | % 20.38/5.31 | Combining equations (250,254) yields a new equation: % 20.38/5.31 | (1620) e3 = e2 % 20.38/5.31 | % 20.38/5.31 | Simplifying 1620 yields: % 20.38/5.31 | (376) e3 = e2 % 20.38/5.31 | % 20.38/5.31 | Equations (376) can reduce 128 to: % 20.38/5.31 | (251) $false % 20.38/5.31 | % 20.38/5.31 |-The branch is then unsatisfiable % 20.38/5.31 |-Branch two: % 20.38/5.31 | (249) ~ (all_0_56_56 = e3) % 20.38/5.31 | (394) all_0_58_58 = e3 | all_0_59_59 = e3 % 20.38/5.31 | % 20.38/5.31 +-Applying beta-rule and splitting (394), into two cases. % 20.38/5.31 |-Branch one: % 20.38/5.31 | (395) all_0_58_58 = e3 % 20.38/5.31 | % 20.38/5.31 | Equations (395) can reduce 621 to: % 20.38/5.31 | (251) $false % 20.38/5.31 | % 20.38/5.31 |-The branch is then unsatisfiable % 20.38/5.31 |-Branch two: % 20.38/5.31 | (621) ~ (all_0_58_58 = e3) % 20.38/5.31 | (375) all_0_59_59 = e3 % 20.38/5.31 | % 20.38/5.31 | Equations (375) can reduce 229 to: % 20.38/5.31 | (621) ~ (all_0_58_58 = e3) % 20.38/5.31 | % 20.38/5.31 | Equations (375) can reduce 22 to: % 20.38/5.31 | (770) ~ (all_0_67_67 = e3) % 20.38/5.31 | % 20.38/5.31 | Simplifying 770 yields: % 20.38/5.31 | (629) ~ (all_0_67_67 = e3) % 20.38/5.31 | % 20.38/5.31 | Equations (375) can reduce 171 to: % 20.38/5.31 | (15) ~ (e3 = e1) % 20.38/5.31 | % 20.38/5.31 +-Applying beta-rule and splitting (170), into two cases. % 20.38/5.31 |-Branch one: % 20.38/5.31 | (302) all_0_64_64 = e3 % 20.38/5.31 | % 20.38/5.31 | Equations (302) can reduce 196 to: % 20.38/5.31 | (770) ~ (all_0_67_67 = e3) % 20.38/5.31 | % 20.38/5.31 | Simplifying 770 yields: % 20.38/5.31 | (629) ~ (all_0_67_67 = e3) % 20.38/5.31 | % 20.38/5.31 | Equations (302) can reduce 115 to: % 20.38/5.31 | (774) ~ (e4 = e3) % 20.38/5.31 | % 20.38/5.31 | Simplifying 774 yields: % 20.38/5.31 | (130) ~ (e4 = e3) % 20.38/5.31 | % 20.38/5.31 | Equations (302) can reduce 198 to: % 20.38/5.31 | (128) ~ (e3 = e2) % 20.38/5.31 | % 20.38/5.31 | Equations (302) can reduce 642 to: % 20.38/5.31 | (15) ~ (e3 = e1) % 20.38/5.31 | % 20.38/5.31 +-Applying beta-rule and splitting (10), into two cases. % 20.38/5.31 |-Branch one: % 20.38/5.31 | (1251) all_0_67_67 = e4 % 20.38/5.31 | % 20.38/5.31 | Equations (1251) can reduce 1581 to: % 20.38/5.31 | (251) $false % 20.38/5.31 | % 20.38/5.31 |-The branch is then unsatisfiable % 20.38/5.31 |-Branch two: % 20.38/5.31 | (1581) ~ (all_0_67_67 = e4) % 20.38/5.31 | (1634) all_0_67_67 = e3 | all_0_67_67 = e0 % 20.38/5.31 | % 20.38/5.31 +-Applying beta-rule and splitting (57), into two cases. % 20.38/5.31 |-Branch one: % 20.38/5.31 | (988) all_0_68_68 = e0 % 20.38/5.31 | % 20.38/5.31 +-Applying beta-rule and splitting (622), into two cases. % 20.38/5.31 |-Branch one: % 20.38/5.31 | (323) all_0_58_58 = e1 % 20.38/5.31 | % 20.38/5.31 | Equations (323) can reduce 315 to: % 20.38/5.31 | (251) $false % 20.38/5.31 | % 20.38/5.31 |-The branch is then unsatisfiable % 20.38/5.31 |-Branch two: % 20.38/5.31 | (315) ~ (all_0_58_58 = e1) % 20.38/5.31 | (1060) all_0_58_58 = e0 % 20.38/5.31 | % 20.38/5.31 +-Applying beta-rule and splitting (151), into two cases. % 20.38/5.31 |-Branch one: % 20.38/5.31 | (2164) ~ (all_0_61_61 = e0) % 20.38/5.31 | % 20.38/5.31 | Equations (467) can reduce 2164 to: % 20.38/5.31 | (251) $false % 20.38/5.31 | % 20.38/5.31 |-The branch is then unsatisfiable % 20.38/5.31 |-Branch two: % 20.38/5.31 | (467) all_0_61_61 = e0 % 20.38/5.31 | (2167) all_0_56_56 = e3 | all_0_66_66 = e3 | all_0_71_71 = e3 | (all_0_58_58 = e3 & ~ (all_0_57_57 = e2)) | (all_0_59_59 = e3 & ~ (all_0_57_57 = e1)) | (all_0_64_64 = e3 & ~ (all_0_65_65 = e4)) | (all_0_67_67 = e3 & ~ (all_0_65_65 = e1)) | (all_0_68_68 = e3 & ~ (all_0_69_69 = e4)) | (all_0_70_70 = e3 & ~ (all_0_69_69 = e2)) % 20.38/5.31 | % 20.38/5.31 +-Applying beta-rule and splitting (1634), into two cases. % 20.38/5.31 |-Branch one: % 20.38/5.31 | (380) all_0_67_67 = e3 % 20.38/5.31 | % 20.38/5.31 | Equations (380) can reduce 629 to: % 20.38/5.31 | (251) $false % 20.38/5.31 | % 20.38/5.31 |-The branch is then unsatisfiable % 20.38/5.31 |-Branch two: % 20.38/5.31 | (629) ~ (all_0_67_67 = e3) % 20.38/5.31 | (1458) all_0_67_67 = e0 % 20.38/5.31 | % 20.38/5.31 | Equations (1458) can reduce 629 to: % 20.38/5.31 | (272) ~ (e3 = e0) % 20.38/5.31 | % 20.38/5.31 | Simplifying 272 yields: % 20.38/5.31 | (36) ~ (e3 = e0) % 20.38/5.31 | % 20.38/5.31 +-Applying beta-rule and splitting (2167), into two cases. % 20.38/5.31 |-Branch one: % 20.38/5.31 | (250) all_0_56_56 = e3 % 20.38/5.31 | % 20.38/5.31 | Combining equations (250,254) yields a new equation: % 20.38/5.31 | (1620) e3 = e2 % 20.38/5.31 | % 20.38/5.31 | Simplifying 1620 yields: % 20.38/5.31 | (376) e3 = e2 % 20.38/5.31 | % 20.38/5.31 | Equations (376) can reduce 128 to: % 20.38/5.31 | (251) $false % 20.38/5.31 | % 20.38/5.31 |-The branch is then unsatisfiable % 20.38/5.31 |-Branch two: % 20.38/5.31 | (249) ~ (all_0_56_56 = e3) % 20.38/5.31 | (2179) all_0_66_66 = e3 | all_0_71_71 = e3 | (all_0_58_58 = e3 & ~ (all_0_57_57 = e2)) | (all_0_59_59 = e3 & ~ (all_0_57_57 = e1)) | (all_0_64_64 = e3 & ~ (all_0_65_65 = e4)) | (all_0_67_67 = e3 & ~ (all_0_65_65 = e1)) | (all_0_68_68 = e3 & ~ (all_0_69_69 = e4)) | (all_0_70_70 = e3 & ~ (all_0_69_69 = e2)) % 20.38/5.31 | % 20.38/5.31 +-Applying beta-rule and splitting (2179), into two cases. % 20.38/5.31 |-Branch one: % 20.38/5.31 | (538) all_0_66_66 = e3 % 20.38/5.31 | % 20.38/5.31 | Combining equations (538,546) yields a new equation: % 20.38/5.31 | (660) e3 = e1 % 20.38/5.31 | % 20.38/5.31 | Simplifying 660 yields: % 20.38/5.31 | (661) e3 = e1 % 20.38/5.31 | % 20.38/5.31 | Equations (661) can reduce 15 to: % 20.38/5.31 | (251) $false % 20.38/5.31 | % 20.38/5.32 |-The branch is then unsatisfiable % 20.38/5.32 |-Branch two: % 20.38/5.32 | (542) ~ (all_0_66_66 = e3) % 20.38/5.32 | (2185) all_0_71_71 = e3 | (all_0_58_58 = e3 & ~ (all_0_57_57 = e2)) | (all_0_59_59 = e3 & ~ (all_0_57_57 = e1)) | (all_0_64_64 = e3 & ~ (all_0_65_65 = e4)) | (all_0_67_67 = e3 & ~ (all_0_65_65 = e1)) | (all_0_68_68 = e3 & ~ (all_0_69_69 = e4)) | (all_0_70_70 = e3 & ~ (all_0_69_69 = e2)) % 20.38/5.32 | % 20.38/5.32 +-Applying beta-rule and splitting (2185), into two cases. % 20.38/5.32 |-Branch one: % 20.38/5.32 | (558) all_0_71_71 = e3 % 20.38/5.32 | % 20.38/5.32 | Combining equations (558,552) yields a new equation: % 20.38/5.32 | (935) e4 = e3 % 20.38/5.32 | % 20.38/5.32 | Equations (935) can reduce 130 to: % 20.38/5.32 | (251) $false % 20.38/5.32 | % 20.38/5.32 |-The branch is then unsatisfiable % 20.38/5.32 |-Branch two: % 20.38/5.32 | (297) ~ (all_0_71_71 = e3) % 20.38/5.32 | (2190) (all_0_58_58 = e3 & ~ (all_0_57_57 = e2)) | (all_0_59_59 = e3 & ~ (all_0_57_57 = e1)) | (all_0_64_64 = e3 & ~ (all_0_65_65 = e4)) | (all_0_67_67 = e3 & ~ (all_0_65_65 = e1)) | (all_0_68_68 = e3 & ~ (all_0_69_69 = e4)) | (all_0_70_70 = e3 & ~ (all_0_69_69 = e2)) % 20.38/5.32 | % 20.38/5.32 +-Applying beta-rule and splitting (2190), into two cases. % 20.38/5.32 |-Branch one: % 20.38/5.32 | (2191) (all_0_58_58 = e3 & ~ (all_0_57_57 = e2)) | (all_0_59_59 = e3 & ~ (all_0_57_57 = e1)) | (all_0_64_64 = e3 & ~ (all_0_65_65 = e4)) | (all_0_67_67 = e3 & ~ (all_0_65_65 = e1)) | (all_0_68_68 = e3 & ~ (all_0_69_69 = e4)) % 20.38/5.32 | % 20.38/5.32 +-Applying beta-rule and splitting (2191), into two cases. % 20.38/5.32 |-Branch one: % 20.38/5.32 | (2192) (all_0_58_58 = e3 & ~ (all_0_57_57 = e2)) | (all_0_59_59 = e3 & ~ (all_0_57_57 = e1)) | (all_0_64_64 = e3 & ~ (all_0_65_65 = e4)) | (all_0_67_67 = e3 & ~ (all_0_65_65 = e1)) % 20.38/5.32 | % 20.38/5.32 +-Applying beta-rule and splitting (2192), into two cases. % 20.38/5.32 |-Branch one: % 20.38/5.32 | (2193) (all_0_58_58 = e3 & ~ (all_0_57_57 = e2)) | (all_0_59_59 = e3 & ~ (all_0_57_57 = e1)) | (all_0_64_64 = e3 & ~ (all_0_65_65 = e4)) % 20.38/5.32 | % 20.38/5.32 +-Applying beta-rule and splitting (2193), into two cases. % 20.38/5.32 |-Branch one: % 20.38/5.32 | (2194) (all_0_58_58 = e3 & ~ (all_0_57_57 = e2)) | (all_0_59_59 = e3 & ~ (all_0_57_57 = e1)) % 20.38/5.32 | % 20.38/5.32 +-Applying beta-rule and splitting (2194), into two cases. % 20.38/5.32 |-Branch one: % 20.38/5.32 | (2195) all_0_58_58 = e3 & ~ (all_0_57_57 = e2) % 20.38/5.32 | % 20.38/5.32 | Applying alpha-rule on (2195) yields: % 20.38/5.32 | (395) all_0_58_58 = e3 % 20.38/5.32 | (339) ~ (all_0_57_57 = e2) % 20.38/5.32 | % 20.38/5.32 | Combining equations (1060,395) yields a new equation: % 20.38/5.32 | (391) e3 = e0 % 20.38/5.32 | % 20.38/5.32 | Equations (391) can reduce 36 to: % 20.38/5.32 | (251) $false % 20.38/5.32 | % 20.38/5.32 |-The branch is then unsatisfiable % 20.38/5.32 |-Branch two: % 20.38/5.32 | (2200) all_0_59_59 = e3 & ~ (all_0_57_57 = e1) % 20.38/5.32 | % 20.38/5.32 | Applying alpha-rule on (2200) yields: % 20.38/5.32 | (375) all_0_59_59 = e3 % 20.38/5.32 | (635) ~ (all_0_57_57 = e1) % 20.38/5.32 | % 20.38/5.32 | Equations (313) can reduce 635 to: % 20.38/5.32 | (251) $false % 20.38/5.32 | % 20.38/5.32 |-The branch is then unsatisfiable % 20.38/5.32 |-Branch two: % 20.38/5.32 | (2204) all_0_64_64 = e3 & ~ (all_0_65_65 = e4) % 20.38/5.32 | % 20.38/5.32 | Applying alpha-rule on (2204) yields: % 20.38/5.32 | (302) all_0_64_64 = e3 % 20.38/5.32 | (1246) ~ (all_0_65_65 = e4) % 20.38/5.32 | % 20.38/5.32 | Equations (1243) can reduce 1246 to: % 20.38/5.32 | (251) $false % 20.38/5.32 | % 20.38/5.32 |-The branch is then unsatisfiable % 20.38/5.32 |-Branch two: % 20.38/5.32 | (2208) all_0_67_67 = e3 & ~ (all_0_65_65 = e1) % 20.38/5.32 | % 20.38/5.32 | Applying alpha-rule on (2208) yields: % 20.38/5.32 | (380) all_0_67_67 = e3 % 20.38/5.32 | (308) ~ (all_0_65_65 = e1) % 20.38/5.32 | % 20.38/5.32 | Combining equations (1458,380) yields a new equation: % 20.38/5.32 | (391) e3 = e0 % 20.38/5.32 | % 20.38/5.32 | Equations (391) can reduce 36 to: % 20.38/5.32 | (251) $false % 20.38/5.32 | % 20.38/5.32 |-The branch is then unsatisfiable % 20.38/5.32 |-Branch two: % 20.38/5.32 | (2213) all_0_68_68 = e3 & ~ (all_0_69_69 = e4) % 20.38/5.32 | % 20.38/5.32 | Applying alpha-rule on (2213) yields: % 20.38/5.32 | (292) all_0_68_68 = e3 % 20.38/5.32 | (482) ~ (all_0_69_69 = e4) % 20.38/5.32 | % 20.38/5.32 | Combining equations (988,292) yields a new equation: % 20.38/5.32 | (391) e3 = e0 % 20.38/5.32 | % 20.38/5.32 | Equations (391) can reduce 36 to: % 20.38/5.32 | (251) $false % 20.38/5.32 | % 20.38/5.32 |-The branch is then unsatisfiable % 20.38/5.32 |-Branch two: % 20.38/5.32 | (2218) all_0_70_70 = e3 & ~ (all_0_69_69 = e2) % 20.38/5.32 | % 20.38/5.32 | Applying alpha-rule on (2218) yields: % 20.38/5.32 | (597) all_0_70_70 = e3 % 20.38/5.32 | (731) ~ (all_0_69_69 = e2) % 20.38/5.32 | % 20.38/5.32 | Equations (344) can reduce 731 to: % 20.38/5.32 | (251) $false % 20.38/5.32 | % 20.38/5.32 |-The branch is then unsatisfiable % 20.38/5.32 |-Branch two: % 20.38/5.32 | (271) ~ (all_0_68_68 = e0) % 20.38/5.32 | (2049) all_0_69_69 = e0 | all_0_70_70 = e0 | all_0_71_71 = e0 % 20.38/5.32 | % 20.38/5.32 +-Applying beta-rule and splitting (646), into two cases. % 20.38/5.32 |-Branch one: % 20.38/5.32 | (729) all_0_68_68 = e2 % 20.38/5.32 | % 20.38/5.32 | Equations (729) can reduce 987 to: % 20.38/5.32 | (251) $false % 20.38/5.32 | % 20.38/5.32 |-The branch is then unsatisfiable % 20.38/5.32 |-Branch two: % 20.38/5.32 | (987) ~ (all_0_68_68 = e2) % 20.38/5.32 | (988) all_0_68_68 = e0 % 20.38/5.32 | % 20.38/5.32 | Equations (988) can reduce 271 to: % 20.38/5.32 | (251) $false % 20.38/5.32 | % 20.38/5.32 |-The branch is then unsatisfiable % 20.38/5.32 |-Branch two: % 20.38/5.32 | (293) ~ (all_0_64_64 = e3) % 20.38/5.32 | (1266) all_0_66_66 = e3 | all_0_67_67 = e3 % 20.38/5.32 | % 20.38/5.32 +-Applying beta-rule and splitting (10), into two cases. % 20.38/5.32 |-Branch one: % 20.38/5.32 | (1251) all_0_67_67 = e4 % 20.38/5.32 | % 20.38/5.32 | Equations (1251) can reduce 1581 to: % 20.38/5.32 | (251) $false % 20.38/5.32 | % 20.38/5.32 |-The branch is then unsatisfiable % 20.38/5.32 |-Branch two: % 20.38/5.32 | (1581) ~ (all_0_67_67 = e4) % 20.38/5.32 | (1634) all_0_67_67 = e3 | all_0_67_67 = e0 % 20.38/5.32 | % 20.38/5.32 +-Applying beta-rule and splitting (1634), into two cases. % 20.38/5.32 |-Branch one: % 20.38/5.32 | (380) all_0_67_67 = e3 % 20.38/5.32 | % 20.38/5.32 | Equations (380) can reduce 629 to: % 20.38/5.32 | (251) $false % 20.38/5.32 | % 20.38/5.32 |-The branch is then unsatisfiable % 20.38/5.32 |-Branch two: % 20.38/5.32 | (629) ~ (all_0_67_67 = e3) % 20.38/5.32 | (1458) all_0_67_67 = e0 % 20.38/5.32 | % 20.38/5.32 +-Applying beta-rule and splitting (622), into two cases. % 20.38/5.32 |-Branch one: % 20.38/5.32 | (323) all_0_58_58 = e1 % 20.38/5.32 | % 20.38/5.32 | Equations (323) can reduce 315 to: % 20.38/5.32 | (251) $false % 20.38/5.32 | % 20.38/5.32 |-The branch is then unsatisfiable % 20.38/5.32 |-Branch two: % 20.38/5.32 | (315) ~ (all_0_58_58 = e1) % 20.38/5.32 | (1060) all_0_58_58 = e0 % 20.38/5.32 | % 20.38/5.32 | Equations (1060) can reduce 621 to: % 20.38/5.32 | (272) ~ (e3 = e0) % 20.38/5.32 | % 20.38/5.32 | Simplifying 272 yields: % 20.38/5.32 | (36) ~ (e3 = e0) % 20.38/5.32 | % 20.38/5.32 +-Applying beta-rule and splitting (1266), into two cases. % 20.38/5.32 |-Branch one: % 20.38/5.32 | (538) all_0_66_66 = e3 % 20.38/5.32 | % 20.38/5.32 | Combining equations (546,538) yields a new equation: % 20.38/5.32 | (661) e3 = e1 % 20.38/5.32 | % 20.38/5.32 | Equations (661) can reduce 15 to: % 20.38/5.32 | (251) $false % 20.38/5.32 | % 20.38/5.32 |-The branch is then unsatisfiable % 20.38/5.32 |-Branch two: % 20.38/5.32 | (542) ~ (all_0_66_66 = e3) % 20.38/5.32 | (380) all_0_67_67 = e3 % 20.38/5.32 | % 20.38/5.32 | Combining equations (1458,380) yields a new equation: % 20.38/5.32 | (391) e3 = e0 % 20.38/5.32 | % 20.38/5.32 | Equations (391) can reduce 36 to: % 20.38/5.32 | (251) $false % 20.38/5.32 | % 20.38/5.32 |-The branch is then unsatisfiable % 20.38/5.32 |-Branch two: % 20.38/5.32 | (397) ~ (all_0_70_70 = e3) % 20.38/5.32 | (558) all_0_71_71 = e3 % 20.38/5.32 | % 20.38/5.32 | Combining equations (558,552) yields a new equation: % 20.38/5.32 | (935) e4 = e3 % 20.38/5.32 | % 20.38/5.32 | Equations (935) can reduce 130 to: % 20.38/5.32 | (251) $false % 20.38/5.32 | % 20.38/5.32 |-The branch is then unsatisfiable % 20.38/5.32 |-Branch two: % 20.38/5.32 | (635) ~ (all_0_57_57 = e1) % 20.38/5.32 | (636) all_0_61_61 = e1 | all_0_65_65 = e1 % 20.38/5.32 | % 20.38/5.32 +-Applying beta-rule and splitting (201), into two cases. % 20.38/5.32 |-Branch one: % 20.38/5.32 | (335) all_0_57_57 = e2 % 20.38/5.32 | % 20.38/5.32 | Equations (335) can reduce 339 to: % 20.38/5.32 | (251) $false % 20.38/5.32 | % 20.38/5.32 |-The branch is then unsatisfiable % 20.38/5.32 |-Branch two: % 20.38/5.32 | (339) ~ (all_0_57_57 = e2) % 20.38/5.32 | (991) all_0_57_57 = e1 | all_0_57_57 = e0 % 20.38/5.32 | % 20.38/5.32 +-Applying beta-rule and splitting (991), into two cases. % 20.38/5.32 |-Branch one: % 20.38/5.32 | (313) all_0_57_57 = e1 % 20.38/5.32 | % 20.38/5.32 | Equations (313) can reduce 635 to: % 20.38/5.32 | (251) $false % 20.38/5.32 | % 20.38/5.32 |-The branch is then unsatisfiable % 20.38/5.32 |-Branch two: % 20.38/5.32 | (635) ~ (all_0_57_57 = e1) % 20.38/5.32 | (1840) all_0_57_57 = e0 % 20.38/5.32 | % 20.38/5.32 | Equations (1840) can reduce 1147 to: % 20.38/5.32 | (251) $false % 20.38/5.32 | % 20.38/5.32 |-The branch is then unsatisfiable % 20.38/5.32 |-Branch two: % 20.38/5.32 | (2164) ~ (all_0_61_61 = e0) % 20.38/5.32 | (2268) all_0_62_62 = e0 | all_0_63_63 = e0 % 20.38/5.32 | % 20.38/5.32 +-Applying beta-rule and splitting (2268), into two cases. % 20.38/5.32 |-Branch one: % 20.38/5.32 | (925) all_0_62_62 = e0 % 20.38/5.32 | % 20.38/5.32 | Combining equations (845,925) yields a new equation: % 20.38/5.32 | (531) e4 = e0 % 20.38/5.32 | % 20.38/5.32 | Simplifying 531 yields: % 20.38/5.32 | (510) e4 = e0 % 20.38/5.32 | % 20.38/5.32 | Equations (510) can reduce 17 to: % 20.38/5.32 | (251) $false % 20.38/5.32 | % 20.38/5.32 |-The branch is then unsatisfiable % 20.38/5.32 |-Branch two: % 20.38/5.32 | (838) ~ (all_0_62_62 = e0) % 20.38/5.32 | (576) all_0_63_63 = e0 % 20.38/5.32 | % 20.38/5.32 | Combining equations (573,576) yields a new equation: % 20.38/5.32 | (354) e2 = e0 % 20.38/5.32 | % 20.38/5.32 | Simplifying 354 yields: % 20.38/5.32 | (355) e2 = e0 % 20.38/5.32 | % 20.38/5.32 | Equations (355) can reduce 48 to: % 20.38/5.32 | (251) $false % 20.38/5.32 | % 20.38/5.32 |-The branch is then unsatisfiable % 20.38/5.32 |-Branch two: % 20.38/5.32 | (651) ~ (all_0_60_60 = e1) % 20.38/5.32 | (1891) all_0_61_61 = e1 | all_0_62_62 = e1 % 20.38/5.32 | % 20.38/5.32 +-Applying beta-rule and splitting (1891), into two cases. % 20.38/5.32 |-Branch one: % 20.38/5.32 | (523) all_0_61_61 = e1 % 20.38/5.32 | % 20.38/5.32 | Equations (523) can reduce 246 to: % 20.38/5.32 | (251) $false % 20.38/5.32 | % 20.38/5.32 |-The branch is then unsatisfiable % 20.38/5.32 |-Branch two: % 20.38/5.32 | (246) ~ (all_0_61_61 = e1) % 20.38/5.32 | (327) all_0_62_62 = e1 % 20.38/5.32 | % 20.38/5.32 | Combining equations (845,327) yields a new equation: % 20.38/5.32 | (2018) e4 = e1 % 20.38/5.32 | % 20.38/5.32 | Simplifying 2018 yields: % 20.38/5.32 | (1244) e4 = e1 % 20.38/5.32 | % 20.38/5.32 | Equations (1244) can reduce 193 to: % 20.38/5.32 | (251) $false % 20.38/5.32 | % 20.38/5.32 |-The branch is then unsatisfiable % 20.38/5.32 |-Branch two: % 20.38/5.32 | (1246) ~ (all_0_65_65 = e4) % 20.38/5.32 | (1247) all_0_66_66 = e4 | all_0_67_67 = e4 % 20.38/5.32 | % 20.38/5.32 +-Applying beta-rule and splitting (1976), into two cases. % 20.38/5.32 |-Branch one: % 20.38/5.32 | (1243) all_0_65_65 = e4 % 20.38/5.33 | % 20.38/5.33 | Equations (1243) can reduce 1246 to: % 20.38/5.33 | (251) $false % 20.38/5.33 | % 20.38/5.33 |-The branch is then unsatisfiable % 20.38/5.33 |-Branch two: % 20.38/5.33 | (1246) ~ (all_0_65_65 = e4) % 20.38/5.33 | (478) all_0_69_69 = e4 % 20.38/5.33 | % 20.38/5.33 | Combining equations (344,478) yields a new equation: % 20.38/5.33 | (480) e4 = e2 % 20.38/5.33 | % 20.38/5.33 | Equations (480) can reduce 49 to: % 20.38/5.33 | (251) $false % 20.38/5.33 | % 20.38/5.33 |-The branch is then unsatisfiable % 20.38/5.33 |-Branch two: % 20.38/5.33 | (920) ~ (all_0_62_62 = e4) % 20.38/5.33 | (2296) all_0_66_66 = e4 | all_0_70_70 = e4 % 20.38/5.33 | % 20.38/5.33 +-Applying beta-rule and splitting (2296), into two cases. % 20.38/5.33 |-Branch one: % 20.38/5.33 | (530) all_0_66_66 = e4 % 20.38/5.33 | % 20.38/5.33 | Equations (530) can reduce 534 to: % 20.38/5.33 | (251) $false % 20.38/5.33 | % 20.38/5.33 |-The branch is then unsatisfiable % 20.38/5.33 |-Branch two: % 20.38/5.33 | (534) ~ (all_0_66_66 = e4) % 20.38/5.33 | (500) all_0_70_70 = e4 % 20.38/5.33 | % 20.38/5.33 | Equations (500) can reduce 224 to: % 20.38/5.33 | (214) ~ (all_0_58_58 = e4) % 20.38/5.33 | % 20.38/5.33 | Equations (500) can reduce 208 to: % 20.38/5.33 | (920) ~ (all_0_62_62 = e4) % 20.38/5.33 | % 20.38/5.33 | Equations (500) can reduce 205 to: % 20.38/5.33 | (14) ~ (all_0_68_68 = e4) % 20.38/5.33 | % 20.38/5.33 | Equations (500) can reduce 94 to: % 20.38/5.33 | (1582) ~ (all_0_71_71 = e4) % 20.38/5.33 | % 20.38/5.33 | Simplifying 1582 yields: % 20.38/5.33 | (556) ~ (all_0_71_71 = e4) % 20.38/5.33 | % 20.38/5.33 | Equations (500) can reduce 7 to: % 20.38/5.33 | (49) ~ (e4 = e2) % 20.38/5.33 | % 20.38/5.33 | From (500) and (241) follows: % 20.38/5.33 | (1609) op(e1, e4) = all_0_48_48 % 20.38/5.33 | % 20.38/5.33 | From (500) and (81) follows: % 20.38/5.33 | (1610) op(e1, e2) = e4 % 20.38/5.33 | % 20.38/5.33 +-Applying beta-rule and splitting (74), into two cases. % 20.38/5.33 |-Branch one: % 20.38/5.33 | (509) all_0_61_61 = e4 % 20.38/5.33 | % 20.38/5.33 | Equations (509) can reduce 189 to: % 20.38/5.33 | (2310) ~ (all_0_62_62 = e4) % 20.38/5.33 | % 20.38/5.33 | Simplifying 2310 yields: % 20.38/5.33 | (920) ~ (all_0_62_62 = e4) % 20.38/5.33 | % 20.38/5.33 | Equations (509) can reduce 87 to: % 20.38/5.33 | (130) ~ (e4 = e3) % 20.38/5.33 | % 20.38/5.33 | Equations (509) can reduce 244 to: % 20.38/5.33 | (49) ~ (e4 = e2) % 20.38/5.33 | % 20.38/5.33 +-Applying beta-rule and splitting (38), into two cases. % 20.38/5.33 |-Branch one: % 20.38/5.33 | (498) all_0_63_63 = e4 % 20.38/5.33 | % 20.38/5.33 | Combining equations (498,573) yields a new equation: % 20.38/5.33 | (479) e4 = e2 % 20.38/5.33 | % 20.38/5.33 | Simplifying 479 yields: % 20.38/5.33 | (480) e4 = e2 % 20.38/5.33 | % 20.38/5.33 | Equations (480) can reduce 49 to: % 20.38/5.33 | (251) $false % 20.38/5.33 | % 20.38/5.33 |-The branch is then unsatisfiable % 20.38/5.33 |-Branch two: % 20.38/5.33 | (571) ~ (all_0_63_63 = e4) % 20.38/5.33 | (2319) all_0_67_67 = e4 | all_0_71_71 = e4 % 20.38/5.33 | % 20.38/5.33 +-Applying beta-rule and splitting (2319), into two cases. % 20.38/5.33 |-Branch one: % 20.38/5.33 | (1251) all_0_67_67 = e4 % 20.38/5.33 | % 20.38/5.33 | Equations (1251) can reduce 22 to: % 20.38/5.33 | (202) ~ (all_0_59_59 = e4) % 20.38/5.33 | % 20.38/5.33 | Equations (1251) can reduce 196 to: % 20.38/5.33 | (115) ~ (all_0_64_64 = e4) % 20.38/5.33 | % 20.38/5.33 | Equations (1251) can reduce 164 to: % 20.38/5.33 | (1246) ~ (all_0_65_65 = e4) % 20.38/5.33 | % 20.38/5.33 | From (1251) and (16) follows: % 20.38/5.33 | (1257) op(e1, e4) = all_0_53_53 % 20.38/5.33 | % 20.38/5.33 | Instantiating formula (61) with e1, e4, all_0_48_48, all_0_68_68 and discharging atoms op(e1, e4) = all_0_48_48, op(e1, e4) = all_0_68_68, yields: % 20.38/5.33 | (2325) all_0_48_48 = all_0_68_68 % 20.38/5.33 | % 20.38/5.33 | Instantiating formula (61) with e1, e4, all_0_53_53, all_0_48_48 and discharging atoms op(e1, e4) = all_0_48_48, op(e1, e4) = all_0_53_53, yields: % 20.38/5.33 | (2326) all_0_48_48 = all_0_53_53 % 20.38/5.33 | % 20.38/5.33 | Combining equations (2325,2326) yields a new equation: % 20.38/5.33 | (2327) all_0_53_53 = all_0_68_68 % 20.38/5.33 | % 20.38/5.33 | From (2327) and (1257) follows: % 20.38/5.33 | (37) op(e1, e4) = all_0_68_68 % 20.38/5.33 | % 20.38/5.33 +-Applying beta-rule and splitting (209), into two cases. % 20.38/5.33 |-Branch one: % 20.38/5.33 | (250) all_0_56_56 = e3 % 20.38/5.33 | % 20.38/5.33 | Combining equations (250,254) yields a new equation: % 20.38/5.33 | (1620) e3 = e2 % 20.38/5.33 | % 20.38/5.33 | Simplifying 1620 yields: % 20.38/5.33 | (376) e3 = e2 % 20.38/5.33 | % 20.38/5.33 | Equations (376) can reduce 128 to: % 20.38/5.33 | (251) $false % 20.38/5.33 | % 20.38/5.33 |-The branch is then unsatisfiable % 20.38/5.33 |-Branch two: % 20.38/5.33 | (249) ~ (all_0_56_56 = e3) % 20.38/5.33 | (394) all_0_58_58 = e3 | all_0_59_59 = e3 % 20.38/5.33 | % 20.38/5.33 | Equations (254) can reduce 249 to: % 20.38/5.33 | (345) ~ (e3 = e2) % 20.38/5.33 | % 20.38/5.33 | Simplifying 345 yields: % 20.38/5.33 | (128) ~ (e3 = e2) % 20.38/5.33 | % 20.38/5.33 +-Applying beta-rule and splitting (170), into two cases. % 20.38/5.33 |-Branch one: % 20.38/5.33 | (302) all_0_64_64 = e3 % 20.38/5.33 | % 20.38/5.33 | Equations (302) can reduce 100 to: % 20.38/5.33 | (691) ~ (all_0_66_66 = e3) % 20.38/5.33 | % 20.38/5.33 | Simplifying 691 yields: % 20.38/5.33 | (542) ~ (all_0_66_66 = e3) % 20.38/5.33 | % 20.38/5.33 +-Applying beta-rule and splitting (172), into two cases. % 20.38/5.33 |-Branch one: % 20.38/5.33 | (258) all_0_56_56 = e1 % 20.38/5.33 | % 20.38/5.33 | Combining equations (254,258) yields a new equation: % 20.38/5.33 | (336) e2 = e1 % 20.38/5.33 | % 20.38/5.33 | Simplifying 336 yields: % 20.38/5.33 | (337) e2 = e1 % 20.38/5.33 | % 20.38/5.33 | Equations (337) can reduce 184 to: % 20.38/5.33 | (251) $false % 20.38/5.33 | % 20.38/5.33 |-The branch is then unsatisfiable % 20.38/5.33 |-Branch two: % 20.38/5.33 | (245) ~ (all_0_56_56 = e1) % 20.38/5.33 | (291) all_0_60_60 = e1 | all_0_64_64 = e1 % 20.38/5.33 | % 20.38/5.33 +-Applying beta-rule and splitting (54), into two cases. % 20.38/5.33 |-Branch one: % 20.38/5.33 | (395) all_0_58_58 = e3 % 20.38/5.33 | % 20.38/5.33 | Equations (395) can reduce 71 to: % 20.38/5.33 | (124) ~ (all_0_57_57 = e3) % 20.38/5.33 | % 20.38/5.33 | Equations (395) can reduce 229 to: % 20.38/5.33 | (1127) ~ (all_0_59_59 = e3) % 20.38/5.33 | % 20.38/5.33 | Simplifying 1127 yields: % 20.38/5.33 | (378) ~ (all_0_59_59 = e3) % 20.38/5.33 | % 20.38/5.33 | Equations (395) can reduce 214 to: % 20.38/5.33 | (774) ~ (e4 = e3) % 20.38/5.33 | % 20.38/5.33 | Simplifying 774 yields: % 20.38/5.33 | (130) ~ (e4 = e3) % 20.38/5.33 | % 20.38/5.33 +-Applying beta-rule and splitting (291), into two cases. % 20.38/5.33 |-Branch one: % 20.38/5.33 | (647) all_0_60_60 = e1 % 20.38/5.33 | % 20.38/5.33 | Equations (647) can reduce 666 to: % 20.38/5.33 | (328) ~ (e2 = e1) % 20.38/5.33 | % 20.38/5.33 | Simplifying 328 yields: % 20.38/5.33 | (184) ~ (e2 = e1) % 20.38/5.33 | % 20.38/5.33 +-Applying beta-rule and splitting (207), into two cases. % 20.38/5.33 |-Branch one: % 20.38/5.33 | (375) all_0_59_59 = e3 % 20.38/5.33 | % 20.38/5.33 | Equations (375) can reduce 378 to: % 20.38/5.33 | (251) $false % 20.38/5.33 | % 20.38/5.33 |-The branch is then unsatisfiable % 20.38/5.33 |-Branch two: % 20.38/5.33 | (378) ~ (all_0_59_59 = e3) % 20.38/5.33 | (379) all_0_67_67 = e3 | all_0_71_71 = e3 % 20.38/5.33 | % 20.38/5.33 +-Applying beta-rule and splitting (379), into two cases. % 20.38/5.33 |-Branch one: % 20.38/5.33 | (380) all_0_67_67 = e3 % 20.38/5.33 | % 20.38/5.33 | Combining equations (380,1251) yields a new equation: % 20.38/5.33 | (935) e4 = e3 % 20.38/5.33 | % 20.38/5.33 | Equations (935) can reduce 130 to: % 20.38/5.33 | (251) $false % 20.38/5.33 | % 20.38/5.33 |-The branch is then unsatisfiable % 20.38/5.33 |-Branch two: % 20.38/5.33 | (629) ~ (all_0_67_67 = e3) % 20.38/5.33 | (558) all_0_71_71 = e3 % 20.38/5.33 | % 20.38/5.33 | Equations (558) can reduce 200 to: % 20.38/5.33 | (15) ~ (e3 = e1) % 20.38/5.33 | % 20.38/5.33 +-Applying beta-rule and splitting (144), into two cases. % 20.38/5.33 |-Branch one: % 20.38/5.33 | (258) all_0_56_56 = e1 % 20.38/5.33 | % 20.38/5.33 | Combining equations (258,254) yields a new equation: % 20.38/5.33 | (337) e2 = e1 % 20.38/5.33 | % 20.38/5.33 | Equations (337) can reduce 184 to: % 20.38/5.33 | (251) $false % 20.38/5.33 | % 20.38/5.33 |-The branch is then unsatisfiable % 20.38/5.33 |-Branch two: % 20.38/5.33 | (245) ~ (all_0_56_56 = e1) % 20.38/5.33 | (1190) all_0_57_57 = e1 | all_0_58_58 = e1 % 20.38/5.33 | % 20.38/5.33 +-Applying beta-rule and splitting (1190), into two cases. % 20.38/5.33 |-Branch one: % 20.38/5.33 | (313) all_0_57_57 = e1 % 20.38/5.33 | % 20.38/5.33 | Equations (313) can reduce 91 to: % 20.38/5.33 | (307) ~ (all_0_65_65 = e1) % 20.38/5.33 | % 20.38/5.33 | Simplifying 307 yields: % 20.38/5.33 | (308) ~ (all_0_65_65 = e1) % 20.38/5.33 | % 20.38/5.33 | Equations (313) can reduce 124 to: % 20.38/5.33 | (736) ~ (e3 = e1) % 20.38/5.33 | % 20.38/5.33 | Simplifying 736 yields: % 20.38/5.33 | (15) ~ (e3 = e1) % 20.38/5.33 | % 20.38/5.33 +-Applying beta-rule and splitting (166), into two cases. % 20.38/5.33 |-Branch one: % 20.38/5.33 | (306) all_0_64_64 = e1 % 20.38/5.33 | % 20.38/5.33 | Combining equations (306,302) yields a new equation: % 20.38/5.33 | (661) e3 = e1 % 20.38/5.33 | % 20.38/5.33 | Equations (661) can reduce 15 to: % 20.38/5.33 | (251) $false % 20.38/5.33 | % 20.38/5.33 |-The branch is then unsatisfiable % 20.38/5.33 |-Branch two: % 20.38/5.33 | (642) ~ (all_0_64_64 = e1) % 20.38/5.33 | (703) all_0_65_65 = e1 | all_0_66_66 = e1 % 20.38/5.33 | % 20.38/5.33 +-Applying beta-rule and splitting (703), into two cases. % 20.38/5.33 |-Branch one: % 20.38/5.33 | (619) all_0_65_65 = e1 % 20.38/5.33 | % 20.38/5.33 | Equations (619) can reduce 308 to: % 20.38/5.33 | (251) $false % 20.38/5.33 | % 20.38/5.33 |-The branch is then unsatisfiable % 20.38/5.33 |-Branch two: % 20.38/5.33 | (308) ~ (all_0_65_65 = e1) % 20.38/5.33 | (546) all_0_66_66 = e1 % 20.38/5.33 | % 20.38/5.33 +-Applying beta-rule and splitting (107), into two cases. % 20.38/5.33 |-Branch one: % 20.38/5.33 | (2384) ( ~ (all_0_56_56 = e3) & ~ (all_0_66_66 = e3) & ~ (all_0_71_71 = e3)) | ( ~ (all_0_56_56 = e2) & ~ (all_0_61_61 = e2) & ~ (all_0_71_71 = e2)) | ( ~ (all_0_56_56 = e1) & ~ (all_0_61_61 = e1) & ~ (all_0_66_66 = e1)) % 20.38/5.33 | % 20.38/5.33 +-Applying beta-rule and splitting (2384), into two cases. % 20.38/5.33 |-Branch one: % 20.38/5.33 | (2385) ( ~ (all_0_56_56 = e3) & ~ (all_0_66_66 = e3) & ~ (all_0_71_71 = e3)) | ( ~ (all_0_56_56 = e2) & ~ (all_0_61_61 = e2) & ~ (all_0_71_71 = e2)) % 20.38/5.33 | % 20.38/5.33 +-Applying beta-rule and splitting (2385), into two cases. % 20.38/5.33 |-Branch one: % 20.38/5.33 | (2386) ~ (all_0_56_56 = e3) & ~ (all_0_66_66 = e3) & ~ (all_0_71_71 = e3) % 20.38/5.33 | % 20.38/5.33 | Applying alpha-rule on (2386) yields: % 20.38/5.33 | (249) ~ (all_0_56_56 = e3) % 20.38/5.33 | (542) ~ (all_0_66_66 = e3) % 20.38/5.33 | (297) ~ (all_0_71_71 = e3) % 20.38/5.33 | % 20.38/5.33 | Equations (558) can reduce 297 to: % 20.38/5.33 | (251) $false % 20.38/5.33 | % 20.38/5.33 |-The branch is then unsatisfiable % 20.38/5.33 |-Branch two: % 20.38/5.33 | (2391) ~ (all_0_56_56 = e2) & ~ (all_0_61_61 = e2) & ~ (all_0_71_71 = e2) % 20.38/5.33 | % 20.38/5.33 | Applying alpha-rule on (2391) yields: % 20.38/5.33 | (247) ~ (all_0_56_56 = e2) % 20.38/5.33 | (244) ~ (all_0_61_61 = e2) % 20.38/5.33 | (370) ~ (all_0_71_71 = e2) % 20.38/5.33 | % 20.38/5.33 | Equations (254) can reduce 247 to: % 20.38/5.33 | (251) $false % 20.38/5.33 | % 20.38/5.33 |-The branch is then unsatisfiable % 20.38/5.33 |-Branch two: % 20.38/5.33 | (2396) ~ (all_0_56_56 = e1) & ~ (all_0_61_61 = e1) & ~ (all_0_66_66 = e1) % 20.38/5.33 | % 20.38/5.33 | Applying alpha-rule on (2396) yields: % 20.38/5.33 | (245) ~ (all_0_56_56 = e1) % 20.38/5.33 | (246) ~ (all_0_61_61 = e1) % 20.38/5.33 | (248) ~ (all_0_66_66 = e1) % 20.38/5.33 | % 20.38/5.33 | Equations (546) can reduce 248 to: % 20.38/5.33 | (251) $false % 20.38/5.33 | % 20.38/5.33 |-The branch is then unsatisfiable % 20.38/5.33 |-Branch two: % 20.38/5.33 | (2401) ~ (all_0_61_61 = e4) & ~ (all_0_66_66 = e4) & ~ (all_0_71_71 = e4) % 20.38/5.33 | % 20.38/5.33 | Applying alpha-rule on (2401) yields: % 20.38/5.33 | (512) ~ (all_0_61_61 = e4) % 20.38/5.33 | (534) ~ (all_0_66_66 = e4) % 20.38/5.33 | (556) ~ (all_0_71_71 = e4) % 20.38/5.33 | % 20.38/5.33 | Equations (509) can reduce 512 to: % 20.38/5.33 | (251) $false % 20.38/5.33 | % 20.38/5.33 |-The branch is then unsatisfiable % 20.38/5.33 |-Branch two: % 20.38/5.33 | (635) ~ (all_0_57_57 = e1) % 20.38/5.33 | (323) all_0_58_58 = e1 % 20.38/5.33 | % 20.38/5.33 | Combining equations (395,323) yields a new equation: % 20.38/5.33 | (660) e3 = e1 % 20.38/5.33 | % 20.38/5.33 | Simplifying 660 yields: % 20.38/5.33 | (661) e3 = e1 % 20.38/5.33 | % 20.38/5.33 | Equations (661) can reduce 15 to: % 20.38/5.33 | (251) $false % 20.38/5.33 | % 20.38/5.33 |-The branch is then unsatisfiable % 20.38/5.33 |-Branch two: % 20.38/5.33 | (651) ~ (all_0_60_60 = e1) % 20.38/5.33 | (306) all_0_64_64 = e1 % 20.38/5.33 | % 20.38/5.33 | Combining equations (302,306) yields a new equation: % 20.38/5.33 | (660) e3 = e1 % 20.38/5.33 | % 20.38/5.33 | Simplifying 660 yields: % 20.38/5.33 | (661) e3 = e1 % 20.38/5.33 | % 20.38/5.33 | Equations (661) can reduce 15 to: % 20.38/5.33 | (251) $false % 20.38/5.33 | % 20.38/5.33 |-The branch is then unsatisfiable % 20.38/5.33 |-Branch two: % 20.38/5.33 | (621) ~ (all_0_58_58 = e3) % 20.38/5.33 | (758) all_0_66_66 = e3 | all_0_70_70 = e3 % 20.38/5.33 | % 20.38/5.33 +-Applying beta-rule and splitting (394), into two cases. % 20.38/5.33 |-Branch one: % 20.38/5.33 | (395) all_0_58_58 = e3 % 20.38/5.33 | % 20.38/5.33 | Equations (395) can reduce 621 to: % 20.38/5.33 | (251) $false % 20.38/5.33 | % 20.38/5.33 |-The branch is then unsatisfiable % 20.38/5.33 |-Branch two: % 20.38/5.33 | (621) ~ (all_0_58_58 = e3) % 20.38/5.33 | (375) all_0_59_59 = e3 % 20.38/5.34 | % 20.38/5.34 | Equations (375) can reduce 202 to: % 20.38/5.34 | (774) ~ (e4 = e3) % 20.38/5.34 | % 20.38/5.34 | Simplifying 774 yields: % 20.38/5.34 | (130) ~ (e4 = e3) % 20.38/5.34 | % 20.38/5.34 +-Applying beta-rule and splitting (758), into two cases. % 20.38/5.34 |-Branch one: % 20.38/5.34 | (538) all_0_66_66 = e3 % 20.38/5.34 | % 20.38/5.34 | Equations (538) can reduce 542 to: % 20.38/5.34 | (251) $false % 20.38/5.34 | % 20.38/5.34 |-The branch is then unsatisfiable % 20.38/5.34 |-Branch two: % 20.38/5.34 | (542) ~ (all_0_66_66 = e3) % 20.38/5.34 | (597) all_0_70_70 = e3 % 20.38/5.34 | % 20.38/5.34 | Combining equations (597,500) yields a new equation: % 20.38/5.34 | (935) e4 = e3 % 20.38/5.34 | % 20.38/5.34 | Equations (935) can reduce 130 to: % 20.38/5.34 | (251) $false % 20.38/5.34 | % 20.38/5.34 |-The branch is then unsatisfiable % 20.38/5.34 |-Branch two: % 20.38/5.34 | (293) ~ (all_0_64_64 = e3) % 20.38/5.34 | (1266) all_0_66_66 = e3 | all_0_67_67 = e3 % 20.38/5.34 | % 20.38/5.34 +-Applying beta-rule and splitting (27), into two cases. % 20.38/5.34 |-Branch one: % 20.38/5.34 | (250) all_0_56_56 = e3 % 20.38/5.34 | % 20.38/5.34 | Combining equations (250,254) yields a new equation: % 20.38/5.34 | (1620) e3 = e2 % 20.38/5.34 | % 20.38/5.34 | Simplifying 1620 yields: % 20.38/5.34 | (376) e3 = e2 % 20.38/5.34 | % 20.38/5.34 | Equations (376) can reduce 128 to: % 20.38/5.34 | (251) $false % 20.38/5.34 | % 20.38/5.34 |-The branch is then unsatisfiable % 20.38/5.34 |-Branch two: % 20.38/5.34 | (249) ~ (all_0_56_56 = e3) % 20.38/5.34 | (658) all_0_64_64 = e3 | all_0_68_68 = e3 % 20.38/5.34 | % 20.38/5.34 +-Applying beta-rule and splitting (1266), into two cases. % 20.38/5.34 |-Branch one: % 20.38/5.34 | (538) all_0_66_66 = e3 % 20.38/5.34 | % 20.38/5.34 | Equations (538) can reduce 100 to: % 20.38/5.34 | (293) ~ (all_0_64_64 = e3) % 20.38/5.34 | % 20.38/5.34 +-Applying beta-rule and splitting (658), into two cases. % 20.38/5.34 |-Branch one: % 20.38/5.34 | (302) all_0_64_64 = e3 % 20.38/5.34 | % 20.38/5.34 | Equations (302) can reduce 293 to: % 20.38/5.34 | (251) $false % 20.38/5.34 | % 20.38/5.34 |-The branch is then unsatisfiable % 20.38/5.34 |-Branch two: % 20.38/5.34 | (293) ~ (all_0_64_64 = e3) % 20.38/5.34 | (292) all_0_68_68 = e3 % 20.38/5.34 | % 20.38/5.34 | Equations (292) can reduce 155 to: % 20.38/5.34 | (293) ~ (all_0_64_64 = e3) % 20.38/5.34 | % 20.38/5.34 | Equations (292) can reduce 24 to: % 20.38/5.34 | (296) ~ (all_0_71_71 = e3) % 20.38/5.34 | % 20.38/5.34 | Simplifying 296 yields: % 20.38/5.34 | (297) ~ (all_0_71_71 = e3) % 20.38/5.34 | % 20.38/5.34 | Equations (292) can reduce 14 to: % 20.38/5.34 | (774) ~ (e4 = e3) % 20.38/5.34 | % 20.38/5.34 | Simplifying 774 yields: % 20.38/5.34 | (130) ~ (e4 = e3) % 20.38/5.34 | % 20.38/5.34 | From (292) and (37) follows: % 20.38/5.34 | (2449) op(e1, e4) = e3 % 20.38/5.34 | % 20.38/5.34 +-Applying beta-rule and splitting (57), into two cases. % 20.38/5.34 |-Branch one: % 20.38/5.34 | (988) all_0_68_68 = e0 % 20.38/5.34 | % 20.38/5.34 | Combining equations (292,988) yields a new equation: % 20.38/5.34 | (390) e3 = e0 % 20.38/5.34 | % 20.38/5.34 | Simplifying 390 yields: % 20.38/5.34 | (391) e3 = e0 % 20.38/5.34 | % 20.38/5.34 | Equations (391) can reduce 36 to: % 20.38/5.34 | (251) $false % 20.38/5.34 | % 20.38/5.34 |-The branch is then unsatisfiable % 20.38/5.34 |-Branch two: % 20.38/5.34 | (271) ~ (all_0_68_68 = e0) % 20.38/5.34 | (2049) all_0_69_69 = e0 | all_0_70_70 = e0 | all_0_71_71 = e0 % 20.38/5.34 | % 20.38/5.34 +-Applying beta-rule and splitting (2049), into two cases. % 20.38/5.34 |-Branch one: % 20.38/5.34 | (1481) all_0_69_69 = e0 % 20.38/5.34 | % 20.38/5.34 | Combining equations (344,1481) yields a new equation: % 20.38/5.34 | (354) e2 = e0 % 20.38/5.34 | % 20.38/5.34 | Simplifying 354 yields: % 20.38/5.34 | (355) e2 = e0 % 20.38/5.34 | % 20.38/5.34 | Equations (355) can reduce 48 to: % 20.38/5.34 | (251) $false % 20.38/5.34 | % 20.38/5.34 |-The branch is then unsatisfiable % 20.38/5.34 |-Branch two: % 20.38/5.34 | (1156) ~ (all_0_69_69 = e0) % 20.38/5.34 | (2080) all_0_70_70 = e0 | all_0_71_71 = e0 % 20.38/5.34 | % 20.38/5.34 +-Applying beta-rule and splitting (207), into two cases. % 20.38/5.34 |-Branch one: % 20.38/5.34 | (375) all_0_59_59 = e3 % 20.38/5.34 | % 20.38/5.34 | Equations (375) can reduce 233 to: % 20.38/5.34 | (124) ~ (all_0_57_57 = e3) % 20.38/5.34 | % 20.38/5.34 | Equations (375) can reduce 229 to: % 20.38/5.34 | (621) ~ (all_0_58_58 = e3) % 20.38/5.34 | % 20.38/5.34 | Equations (375) can reduce 1029 to: % 20.38/5.34 | (128) ~ (e3 = e2) % 20.38/5.34 | % 20.38/5.34 | Equations (375) can reduce 171 to: % 20.38/5.34 | (15) ~ (e3 = e1) % 20.38/5.34 | % 20.38/5.34 +-Applying beta-rule and splitting (2080), into two cases. % 20.38/5.34 |-Branch one: % 20.38/5.34 | (1323) all_0_70_70 = e0 % 20.38/5.34 | % 20.38/5.34 | Combining equations (1323,500) yields a new equation: % 20.38/5.34 | (510) e4 = e0 % 20.38/5.34 | % 20.38/5.34 | Equations (510) can reduce 17 to: % 20.38/5.34 | (251) $false % 20.38/5.34 | % 20.38/5.34 |-The branch is then unsatisfiable % 20.38/5.34 |-Branch two: % 20.38/5.34 | (471) ~ (all_0_70_70 = e0) % 20.38/5.34 | (469) all_0_71_71 = e0 % 20.38/5.34 | % 20.38/5.34 +-Applying beta-rule and splitting (167), into two cases. % 20.38/5.34 |-Branch one: % 20.38/5.34 | (395) all_0_58_58 = e3 % 20.38/5.34 | % 20.38/5.34 | Equations (395) can reduce 621 to: % 20.38/5.34 | (251) $false % 20.38/5.34 | % 20.38/5.34 |-The branch is then unsatisfiable % 20.38/5.34 |-Branch two: % 20.38/5.34 | (621) ~ (all_0_58_58 = e3) % 20.38/5.34 | (622) all_0_58_58 = e1 | all_0_58_58 = e0 % 20.38/5.34 | % 20.38/5.34 +-Applying beta-rule and splitting (210), into two cases. % 20.38/5.34 |-Branch one: % 20.38/5.34 | (323) all_0_58_58 = e1 % 20.38/5.34 | % 20.38/5.34 | Equations (323) can reduce 180 to: % 20.38/5.34 | (712) ~ (all_0_62_62 = e1) % 20.38/5.34 | % 20.38/5.34 | Simplifying 712 yields: % 20.38/5.34 | (632) ~ (all_0_62_62 = e1) % 20.38/5.34 | % 20.38/5.34 | Equations (323) can reduce 214 to: % 20.38/5.34 | (2010) ~ (e4 = e1) % 20.38/5.34 | % 20.38/5.34 | Simplifying 2010 yields: % 20.38/5.34 | (193) ~ (e4 = e1) % 20.38/5.34 | % 20.38/5.34 | From (323) and (159) follows: % 20.38/5.34 | (1205) op(e1, e4) = all_0_3_3 % 20.38/5.34 | % 20.38/5.34 | From (323) and (31) follows: % 20.38/5.34 | (718) op(e1, e2) = all_0_4_4 % 20.38/5.34 | % 20.38/5.34 +-Applying beta-rule and splitting (5), into two cases. % 20.38/5.34 |-Branch one: % 20.38/5.34 | (647) all_0_60_60 = e1 % 20.38/5.34 | % 20.38/5.34 | Equations (647) can reduce 218 to: % 20.38/5.34 | (673) ~ (all_0_64_64 = e1) % 20.38/5.34 | % 20.38/5.34 | Simplifying 673 yields: % 20.38/5.34 | (642) ~ (all_0_64_64 = e1) % 20.38/5.34 | % 20.38/5.34 | From (647) and (88) follows: % 20.38/5.34 | (1231) op(e1, e4) = all_0_8_8 % 20.38/5.34 | % 20.38/5.34 +-Applying beta-rule and splitting (45), into two cases. % 20.38/5.34 |-Branch one: % 20.38/5.34 | (302) all_0_64_64 = e3 % 20.38/5.34 | % 20.38/5.34 | Equations (302) can reduce 293 to: % 20.38/5.34 | (251) $false % 20.38/5.34 | % 20.38/5.34 |-The branch is then unsatisfiable % 20.38/5.34 |-Branch two: % 20.38/5.34 | (293) ~ (all_0_64_64 = e3) % 20.38/5.34 | (305) all_0_64_64 = e1 | all_0_64_64 = e0 % 20.38/5.34 | % 20.38/5.34 +-Applying beta-rule and splitting (305), into two cases. % 20.38/5.34 |-Branch one: % 20.38/5.34 | (306) all_0_64_64 = e1 % 20.38/5.34 | % 20.38/5.34 | Equations (306) can reduce 642 to: % 20.38/5.34 | (251) $false % 20.38/5.34 | % 20.38/5.34 |-The branch is then unsatisfiable % 20.38/5.34 |-Branch two: % 20.38/5.34 | (642) ~ (all_0_64_64 = e1) % 20.38/5.34 | (643) all_0_64_64 = e0 % 20.38/5.34 | % 20.38/5.34 | Equations (643) can reduce 191 to: % 20.38/5.34 | (1153) ~ (all_0_65_65 = e0) % 20.38/5.34 | % 20.38/5.34 | Simplifying 1153 yields: % 20.38/5.34 | (1154) ~ (all_0_65_65 = e0) % 20.38/5.34 | % 20.38/5.34 | Equations (643) can reduce 115 to: % 20.38/5.34 | (514) ~ (e4 = e0) % 20.38/5.34 | % 20.38/5.34 | Simplifying 514 yields: % 20.38/5.34 | (17) ~ (e4 = e0) % 20.38/5.34 | % 20.38/5.34 | Equations (643) can reduce 198 to: % 20.38/5.34 | (274) ~ (e2 = e0) % 20.38/5.34 | % 20.38/5.34 | Simplifying 274 yields: % 20.38/5.34 | (48) ~ (e2 = e0) % 20.38/5.34 | % 20.38/5.34 +-Applying beta-rule and splitting (227), into two cases. % 20.38/5.34 |-Branch one: % 20.38/5.34 | (1243) all_0_65_65 = e4 % 20.38/5.34 | % 20.38/5.34 | Equations (1243) can reduce 1246 to: % 20.38/5.34 | (251) $false % 20.38/5.34 | % 20.38/5.34 |-The branch is then unsatisfiable % 20.38/5.34 |-Branch two: % 20.38/5.34 | (1246) ~ (all_0_65_65 = e4) % 20.38/5.34 | (1802) all_0_65_65 = e1 | all_0_65_65 = e0 % 20.38/5.34 | % 20.38/5.34 +-Applying beta-rule and splitting (2), into two cases. % 20.38/5.34 |-Branch one: % 20.38/5.34 | (1840) all_0_57_57 = e0 % 20.38/5.34 | % 20.38/5.34 | Equations (1840) can reduce 91 to: % 20.38/5.34 | (1153) ~ (all_0_65_65 = e0) % 20.38/5.34 | % 20.38/5.34 | Simplifying 1153 yields: % 20.38/5.34 | (1154) ~ (all_0_65_65 = e0) % 20.38/5.34 | % 20.38/5.34 +-Applying beta-rule and splitting (1802), into two cases. % 20.38/5.34 |-Branch one: % 20.38/5.34 | (619) all_0_65_65 = e1 % 20.38/5.34 | % 20.38/5.34 | Equations (619) can reduce 1154 to: % 20.38/5.34 | (204) ~ (e1 = e0) % 20.38/5.34 | % 20.38/5.34 | Instantiating formula (61) with e1, e4, all_0_3_3, e3 and discharging atoms op(e1, e4) = all_0_3_3, op(e1, e4) = e3, yields: % 20.38/5.34 | (2510) all_0_3_3 = e3 % 20.38/5.34 | % 20.38/5.34 | Instantiating formula (61) with e1, e4, all_0_8_8, all_0_3_3 and discharging atoms op(e1, e4) = all_0_3_3, op(e1, e4) = all_0_8_8, yields: % 20.38/5.34 | (1350) all_0_3_3 = all_0_8_8 % 20.38/5.34 | % 20.38/5.34 | Instantiating formula (61) with e1, e2, all_0_4_4, e4 and discharging atoms op(e1, e2) = all_0_4_4, op(e1, e2) = e4, yields: % 20.38/5.34 | (2091) all_0_4_4 = e4 % 20.38/5.34 | % 20.38/5.34 | Combining equations (2510,1350) yields a new equation: % 20.38/5.34 | (2513) all_0_8_8 = e3 % 20.38/5.34 | % 20.38/5.34 | Combining equations (2513,1350) yields a new equation: % 20.38/5.34 | (2510) all_0_3_3 = e3 % 20.38/5.34 | % 20.38/5.34 +-Applying beta-rule and splitting (103), into two cases. % 20.38/5.34 |-Branch one: % 20.38/5.34 | (2515) ~ (all_0_4_4 = e4) % 20.38/5.34 | % 20.38/5.34 | Equations (2091) can reduce 2515 to: % 20.38/5.34 | (251) $false % 20.38/5.34 | % 20.38/5.34 |-The branch is then unsatisfiable % 20.38/5.34 |-Branch two: % 20.38/5.34 | (2091) all_0_4_4 = e4 % 20.38/5.34 | (2518) all_0_3_3 = e2 | all_0_58_58 = all_0_64_64 % 20.38/5.34 | % 20.38/5.34 +-Applying beta-rule and splitting (2518), into two cases. % 20.38/5.34 |-Branch one: % 20.38/5.34 | (2519) all_0_3_3 = e2 % 20.38/5.34 | % 20.38/5.34 | Combining equations (2519,2510) yields a new equation: % 20.38/5.34 | (376) e3 = e2 % 20.38/5.34 | % 20.38/5.34 | Equations (376) can reduce 128 to: % 20.38/5.34 | (251) $false % 20.38/5.34 | % 20.38/5.34 |-The branch is then unsatisfiable % 20.38/5.34 |-Branch two: % 20.38/5.34 | (2522) ~ (all_0_3_3 = e2) % 20.38/5.34 | (2523) all_0_58_58 = all_0_64_64 % 20.38/5.34 | % 20.38/5.34 | Combining equations (323,2523) yields a new equation: % 20.38/5.34 | (306) all_0_64_64 = e1 % 20.38/5.34 | % 20.38/5.34 | Combining equations (306,643) yields a new equation: % 20.38/5.34 | (287) e1 = e0 % 20.38/5.34 | % 20.38/5.34 | Simplifying 287 yields: % 20.38/5.34 | (288) e1 = e0 % 20.38/5.34 | % 20.38/5.34 | Equations (288) can reduce 204 to: % 20.38/5.34 | (251) $false % 20.38/5.34 | % 20.38/5.34 |-The branch is then unsatisfiable % 20.38/5.34 |-Branch two: % 20.38/5.34 | (308) ~ (all_0_65_65 = e1) % 20.38/5.34 | (1448) all_0_65_65 = e0 % 20.38/5.34 | % 20.38/5.34 | Equations (1448) can reduce 1154 to: % 20.38/5.34 | (251) $false % 20.38/5.34 | % 20.38/5.34 |-The branch is then unsatisfiable % 20.38/5.34 |-Branch two: % 20.38/5.34 | (1147) ~ (all_0_57_57 = e0) % 20.38/5.34 | (2532) all_0_61_61 = e0 | all_0_65_65 = e0 | all_0_69_69 = e0 % 20.38/5.34 | % 20.38/5.34 +-Applying beta-rule and splitting (1802), into two cases. % 20.38/5.34 |-Branch one: % 20.38/5.34 | (619) all_0_65_65 = e1 % 20.38/5.34 | % 20.38/5.34 | Equations (619) can reduce 1154 to: % 20.38/5.34 | (204) ~ (e1 = e0) % 20.38/5.34 | % 20.38/5.34 +-Applying beta-rule and splitting (2532), into two cases. % 20.38/5.34 |-Branch one: % 20.38/5.34 | (467) all_0_61_61 = e0 % 20.38/5.34 | % 20.38/5.34 | Combining equations (509,467) yields a new equation: % 20.38/5.34 | (531) e4 = e0 % 20.38/5.34 | % 20.38/5.34 | Simplifying 531 yields: % 20.38/5.34 | (510) e4 = e0 % 20.38/5.34 | % 20.38/5.34 | Equations (510) can reduce 17 to: % 20.38/5.34 | (251) $false % 20.38/5.34 | % 20.38/5.34 |-The branch is then unsatisfiable % 20.38/5.34 |-Branch two: % 20.38/5.34 | (2164) ~ (all_0_61_61 = e0) % 20.38/5.34 | (2540) all_0_65_65 = e0 | all_0_69_69 = e0 % 20.38/5.34 | % 20.38/5.34 +-Applying beta-rule and splitting (2540), into two cases. % 20.38/5.34 |-Branch one: % 20.38/5.34 | (1448) all_0_65_65 = e0 % 20.38/5.34 | % 20.38/5.35 | Combining equations (619,1448) yields a new equation: % 20.38/5.35 | (287) e1 = e0 % 20.38/5.35 | % 20.38/5.35 | Simplifying 287 yields: % 20.38/5.35 | (288) e1 = e0 % 20.38/5.35 | % 20.38/5.35 | Equations (288) can reduce 204 to: % 20.38/5.35 | (251) $false % 20.38/5.35 | % 20.38/5.35 |-The branch is then unsatisfiable % 20.38/5.35 |-Branch two: % 20.38/5.35 | (1154) ~ (all_0_65_65 = e0) % 20.38/5.35 | (1481) all_0_69_69 = e0 % 20.38/5.35 | % 20.38/5.35 | Combining equations (1481,344) yields a new equation: % 20.38/5.35 | (355) e2 = e0 % 20.38/5.35 | % 20.38/5.35 | Equations (355) can reduce 48 to: % 20.38/5.35 | (251) $false % 20.38/5.35 | % 20.38/5.35 |-The branch is then unsatisfiable % 20.38/5.35 |-Branch two: % 20.38/5.35 | (308) ~ (all_0_65_65 = e1) % 20.38/5.35 | (1448) all_0_65_65 = e0 % 20.38/5.35 | % 20.38/5.35 | Equations (1448) can reduce 1154 to: % 20.38/5.35 | (251) $false % 20.38/5.35 | % 20.38/5.35 |-The branch is then unsatisfiable % 20.38/5.35 |-Branch two: % 20.38/5.35 | (651) ~ (all_0_60_60 = e1) % 20.38/5.35 | (1891) all_0_61_61 = e1 | all_0_62_62 = e1 % 20.38/5.35 | % 20.38/5.35 +-Applying beta-rule and splitting (1891), into two cases. % 20.38/5.35 |-Branch one: % 20.38/5.35 | (523) all_0_61_61 = e1 % 20.38/5.35 | % 20.38/5.35 | Combining equations (523,509) yields a new equation: % 20.38/5.35 | (1244) e4 = e1 % 20.38/5.35 | % 20.38/5.35 | Equations (1244) can reduce 193 to: % 20.38/5.35 | (251) $false % 20.38/5.35 | % 20.38/5.35 |-The branch is then unsatisfiable % 20.38/5.35 |-Branch two: % 20.38/5.35 | (246) ~ (all_0_61_61 = e1) % 20.38/5.35 | (327) all_0_62_62 = e1 % 20.38/5.35 | % 20.38/5.35 | Equations (327) can reduce 632 to: % 20.38/5.35 | (251) $false % 20.38/5.35 | % 20.38/5.35 |-The branch is then unsatisfiable % 20.38/5.35 |-Branch two: % 20.38/5.35 | (315) ~ (all_0_58_58 = e1) % 20.38/5.35 | (326) all_0_62_62 = e1 | all_0_66_66 = e1 % 20.38/5.35 | % 20.38/5.35 +-Applying beta-rule and splitting (622), into two cases. % 20.38/5.35 |-Branch one: % 20.38/5.35 | (323) all_0_58_58 = e1 % 20.38/5.35 | % 20.38/5.35 | Equations (323) can reduce 315 to: % 20.38/5.35 | (251) $false % 20.38/5.35 | % 20.38/5.35 |-The branch is then unsatisfiable % 20.38/5.35 |-Branch two: % 20.38/5.35 | (315) ~ (all_0_58_58 = e1) % 20.38/5.35 | (1060) all_0_58_58 = e0 % 20.38/5.35 | % 20.38/5.35 | Equations (1060) can reduce 71 to: % 20.38/5.35 | (1147) ~ (all_0_57_57 = e0) % 20.38/5.35 | % 20.38/5.35 | Equations (1060) can reduce 180 to: % 20.38/5.35 | (1149) ~ (all_0_62_62 = e0) % 20.38/5.35 | % 20.38/5.35 | Simplifying 1149 yields: % 20.38/5.35 | (838) ~ (all_0_62_62 = e0) % 20.38/5.35 | % 20.38/5.35 | Equations (1060) can reduce 77 to: % 20.38/5.35 | (274) ~ (e2 = e0) % 20.38/5.35 | % 20.38/5.35 | Simplifying 274 yields: % 20.38/5.35 | (48) ~ (e2 = e0) % 20.38/5.35 | % 20.38/5.35 +-Applying beta-rule and splitting (213), into two cases. % 20.38/5.35 |-Branch one: % 20.38/5.35 | (1119) all_0_60_60 = e0 % 20.38/5.35 | % 20.38/5.35 | Equations (1119) can reduce 168 to: % 20.38/5.35 | (1149) ~ (all_0_62_62 = e0) % 20.38/5.35 | % 20.38/5.35 | Simplifying 1149 yields: % 20.63/5.35 | (838) ~ (all_0_62_62 = e0) % 20.63/5.35 | % 20.63/5.35 +-Applying beta-rule and splitting (45), into two cases. % 20.63/5.35 |-Branch one: % 20.63/5.35 | (302) all_0_64_64 = e3 % 20.63/5.35 | % 20.63/5.35 | Equations (302) can reduce 293 to: % 20.63/5.35 | (251) $false % 20.63/5.35 | % 20.63/5.35 |-The branch is then unsatisfiable % 20.63/5.35 |-Branch two: % 20.63/5.35 | (293) ~ (all_0_64_64 = e3) % 20.63/5.35 | (305) all_0_64_64 = e1 | all_0_64_64 = e0 % 20.63/5.35 | % 20.63/5.35 +-Applying beta-rule and splitting (53), into two cases. % 20.63/5.35 |-Branch one: % 20.63/5.35 | (845) all_0_62_62 = e4 % 20.63/5.35 | % 20.63/5.35 | Equations (845) can reduce 920 to: % 20.63/5.35 | (251) $false % 20.63/5.35 | % 20.63/5.35 |-The branch is then unsatisfiable % 20.63/5.35 |-Branch two: % 20.63/5.35 | (920) ~ (all_0_62_62 = e4) % 20.63/5.35 | (921) all_0_62_62 = e1 | all_0_62_62 = e0 % 20.63/5.35 | % 20.63/5.35 +-Applying beta-rule and splitting (148), into two cases. % 20.63/5.35 |-Branch one: % 20.63/5.35 | (1532) ~ (all_0_71_71 = e0) % 20.63/5.35 | % 20.63/5.35 | Equations (469) can reduce 1532 to: % 20.63/5.35 | (251) $false % 20.63/5.35 | % 20.63/5.35 |-The branch is then unsatisfiable % 20.63/5.35 |-Branch two: % 20.63/5.35 | (469) all_0_71_71 = e0 % 20.63/5.35 | (2585) all_0_56_56 = e1 | all_0_61_61 = e1 | all_0_66_66 = e1 | (all_0_57_57 = e1 & ~ (all_0_59_59 = e3)) | (all_0_58_58 = e1 & ~ (all_0_59_59 = e2)) | (all_0_60_60 = e1 & ~ (all_0_63_63 = e4)) | (all_0_62_62 = e1 & ~ (all_0_63_63 = e2)) | (all_0_64_64 = e1 & ~ (all_0_67_67 = e4)) | (all_0_65_65 = e1 & ~ (all_0_67_67 = e3)) % 20.63/5.35 | % 20.63/5.35 +-Applying beta-rule and splitting (201), into two cases. % 20.63/5.35 |-Branch one: % 20.63/5.35 | (335) all_0_57_57 = e2 % 20.63/5.35 | % 20.63/5.35 | Equations (335) can reduce 339 to: % 20.63/5.35 | (251) $false % 20.63/5.35 | % 20.63/5.35 |-The branch is then unsatisfiable % 20.63/5.35 |-Branch two: % 20.63/5.35 | (339) ~ (all_0_57_57 = e2) % 20.63/5.35 | (991) all_0_57_57 = e1 | all_0_57_57 = e0 % 20.63/5.35 | % 20.63/5.35 +-Applying beta-rule and splitting (921), into two cases. % 20.63/5.35 |-Branch one: % 20.63/5.35 | (327) all_0_62_62 = e1 % 20.63/5.35 | % 20.63/5.35 | Equations (327) can reduce 920 to: % 20.63/5.35 | (2010) ~ (e4 = e1) % 20.63/5.35 | % 20.63/5.35 | Simplifying 2010 yields: % 20.63/5.35 | (193) ~ (e4 = e1) % 20.63/5.35 | % 20.63/5.35 | Equations (327) can reduce 217 to: % 20.63/5.35 | (328) ~ (e2 = e1) % 20.63/5.35 | % 20.63/5.35 | Simplifying 328 yields: % 20.63/5.35 | (184) ~ (e2 = e1) % 20.63/5.35 | % 20.63/5.35 +-Applying beta-rule and splitting (2585), into two cases. % 20.63/5.35 |-Branch one: % 20.63/5.35 | (258) all_0_56_56 = e1 % 20.63/5.35 | % 20.63/5.35 | Combining equations (258,254) yields a new equation: % 20.63/5.35 | (337) e2 = e1 % 20.63/5.35 | % 20.63/5.35 | Equations (337) can reduce 184 to: % 20.63/5.35 | (251) $false % 20.63/5.35 | % 20.63/5.35 |-The branch is then unsatisfiable % 20.63/5.35 |-Branch two: % 20.63/5.35 | (245) ~ (all_0_56_56 = e1) % 20.63/5.35 | (2599) all_0_61_61 = e1 | all_0_66_66 = e1 | (all_0_57_57 = e1 & ~ (all_0_59_59 = e3)) | (all_0_58_58 = e1 & ~ (all_0_59_59 = e2)) | (all_0_60_60 = e1 & ~ (all_0_63_63 = e4)) | (all_0_62_62 = e1 & ~ (all_0_63_63 = e2)) | (all_0_64_64 = e1 & ~ (all_0_67_67 = e4)) | (all_0_65_65 = e1 & ~ (all_0_67_67 = e3)) % 20.63/5.35 | % 20.63/5.35 +-Applying beta-rule and splitting (2), into two cases. % 20.63/5.35 |-Branch one: % 20.63/5.35 | (1840) all_0_57_57 = e0 % 20.63/5.35 | % 20.63/5.35 | Equations (1840) can reduce 1147 to: % 20.63/5.35 | (251) $false % 20.63/5.35 | % 20.63/5.35 |-The branch is then unsatisfiable % 20.63/5.35 |-Branch two: % 20.63/5.35 | (1147) ~ (all_0_57_57 = e0) % 20.63/5.35 | (2532) all_0_61_61 = e0 | all_0_65_65 = e0 | all_0_69_69 = e0 % 20.63/5.35 | % 20.63/5.35 +-Applying beta-rule and splitting (2599), into two cases. % 20.63/5.35 |-Branch one: % 20.63/5.35 | (523) all_0_61_61 = e1 % 20.63/5.35 | % 20.63/5.35 | Combining equations (523,509) yields a new equation: % 20.63/5.35 | (1244) e4 = e1 % 20.63/5.35 | % 20.63/5.35 | Equations (1244) can reduce 193 to: % 20.63/5.35 | (251) $false % 20.63/5.35 | % 20.63/5.35 |-The branch is then unsatisfiable % 20.63/5.35 |-Branch two: % 20.63/5.35 | (246) ~ (all_0_61_61 = e1) % 20.63/5.35 | (2608) all_0_66_66 = e1 | (all_0_57_57 = e1 & ~ (all_0_59_59 = e3)) | (all_0_58_58 = e1 & ~ (all_0_59_59 = e2)) | (all_0_60_60 = e1 & ~ (all_0_63_63 = e4)) | (all_0_62_62 = e1 & ~ (all_0_63_63 = e2)) | (all_0_64_64 = e1 & ~ (all_0_67_67 = e4)) | (all_0_65_65 = e1 & ~ (all_0_67_67 = e3)) % 20.63/5.35 | % 20.63/5.35 +-Applying beta-rule and splitting (991), into two cases. % 20.63/5.35 |-Branch one: % 20.63/5.35 | (313) all_0_57_57 = e1 % 20.63/5.35 | % 20.63/5.35 | Equations (313) can reduce 91 to: % 20.63/5.35 | (307) ~ (all_0_65_65 = e1) % 20.63/5.35 | % 20.63/5.35 | Simplifying 307 yields: % 20.63/5.35 | (308) ~ (all_0_65_65 = e1) % 20.63/5.35 | % 20.63/5.35 | Equations (313) can reduce 124 to: % 20.63/5.35 | (736) ~ (e3 = e1) % 20.63/5.35 | % 20.63/5.35 | Simplifying 736 yields: % 20.63/5.35 | (15) ~ (e3 = e1) % 20.63/5.35 | % 20.63/5.35 +-Applying beta-rule and splitting (227), into two cases. % 20.63/5.35 |-Branch one: % 20.63/5.35 | (1243) all_0_65_65 = e4 % 20.63/5.35 | % 20.63/5.35 | Equations (1243) can reduce 1246 to: % 20.63/5.35 | (251) $false % 20.63/5.35 | % 20.63/5.35 |-The branch is then unsatisfiable % 20.63/5.35 |-Branch two: % 20.63/5.35 | (1246) ~ (all_0_65_65 = e4) % 20.63/5.35 | (1802) all_0_65_65 = e1 | all_0_65_65 = e0 % 20.63/5.35 | % 20.63/5.35 +-Applying beta-rule and splitting (166), into two cases. % 20.63/5.35 |-Branch one: % 20.63/5.35 | (306) all_0_64_64 = e1 % 20.63/5.35 | % 20.63/5.35 | Equations (306) can reduce 191 to: % 20.63/5.35 | (307) ~ (all_0_65_65 = e1) % 20.63/5.35 | % 20.63/5.35 | Simplifying 307 yields: % 20.63/5.35 | (308) ~ (all_0_65_65 = e1) % 20.63/5.35 | % 20.63/5.35 | Equations (306) can reduce 293 to: % 20.63/5.35 | (736) ~ (e3 = e1) % 20.63/5.35 | % 20.63/5.35 | Simplifying 736 yields: % 20.63/5.35 | (15) ~ (e3 = e1) % 20.63/5.35 | % 20.63/5.35 +-Applying beta-rule and splitting (1802), into two cases. % 20.63/5.35 |-Branch one: % 20.63/5.35 | (619) all_0_65_65 = e1 % 20.63/5.35 | % 20.63/5.35 | Equations (619) can reduce 308 to: % 20.63/5.35 | (251) $false % 20.63/5.35 | % 20.63/5.35 |-The branch is then unsatisfiable % 20.63/5.35 |-Branch two: % 20.63/5.35 | (308) ~ (all_0_65_65 = e1) % 20.63/5.35 | (1448) all_0_65_65 = e0 % 20.63/5.35 | % 20.63/5.35 | Equations (1448) can reduce 308 to: % 20.63/5.35 | (276) ~ (e1 = e0) % 20.63/5.35 | % 20.63/5.35 | Simplifying 276 yields: % 20.63/5.35 | (204) ~ (e1 = e0) % 20.63/5.35 | % 20.63/5.35 +-Applying beta-rule and splitting (2608), into two cases. % 20.63/5.35 |-Branch one: % 20.63/5.35 | (546) all_0_66_66 = e1 % 20.63/5.35 | % 20.63/5.35 | Combining equations (546,538) yields a new equation: % 20.63/5.35 | (661) e3 = e1 % 20.63/5.35 | % 20.63/5.35 | Equations (661) can reduce 15 to: % 20.63/5.35 | (251) $false % 20.63/5.35 | % 20.63/5.35 |-The branch is then unsatisfiable % 20.63/5.35 |-Branch two: % 20.63/5.35 | (248) ~ (all_0_66_66 = e1) % 20.63/5.35 | (2633) (all_0_57_57 = e1 & ~ (all_0_59_59 = e3)) | (all_0_58_58 = e1 & ~ (all_0_59_59 = e2)) | (all_0_60_60 = e1 & ~ (all_0_63_63 = e4)) | (all_0_62_62 = e1 & ~ (all_0_63_63 = e2)) | (all_0_64_64 = e1 & ~ (all_0_67_67 = e4)) | (all_0_65_65 = e1 & ~ (all_0_67_67 = e3)) % 20.63/5.35 | % 20.63/5.35 +-Applying beta-rule and splitting (2633), into two cases. % 20.63/5.35 |-Branch one: % 20.63/5.35 | (2634) (all_0_57_57 = e1 & ~ (all_0_59_59 = e3)) | (all_0_58_58 = e1 & ~ (all_0_59_59 = e2)) | (all_0_60_60 = e1 & ~ (all_0_63_63 = e4)) | (all_0_62_62 = e1 & ~ (all_0_63_63 = e2)) | (all_0_64_64 = e1 & ~ (all_0_67_67 = e4)) % 20.63/5.35 | % 20.63/5.35 +-Applying beta-rule and splitting (2634), into two cases. % 20.63/5.35 |-Branch one: % 20.63/5.35 | (2635) (all_0_57_57 = e1 & ~ (all_0_59_59 = e3)) | (all_0_58_58 = e1 & ~ (all_0_59_59 = e2)) | (all_0_60_60 = e1 & ~ (all_0_63_63 = e4)) | (all_0_62_62 = e1 & ~ (all_0_63_63 = e2)) % 20.63/5.35 | % 20.63/5.35 +-Applying beta-rule and splitting (2635), into two cases. % 20.63/5.35 |-Branch one: % 20.63/5.35 | (2636) (all_0_57_57 = e1 & ~ (all_0_59_59 = e3)) | (all_0_58_58 = e1 & ~ (all_0_59_59 = e2)) | (all_0_60_60 = e1 & ~ (all_0_63_63 = e4)) % 20.63/5.35 | % 20.63/5.35 +-Applying beta-rule and splitting (2636), into two cases. % 20.63/5.35 |-Branch one: % 20.63/5.35 | (2637) (all_0_57_57 = e1 & ~ (all_0_59_59 = e3)) | (all_0_58_58 = e1 & ~ (all_0_59_59 = e2)) % 20.63/5.35 | % 20.63/5.35 +-Applying beta-rule and splitting (2637), into two cases. % 20.63/5.35 |-Branch one: % 20.63/5.35 | (2638) all_0_57_57 = e1 & ~ (all_0_59_59 = e3) % 20.63/5.35 | % 20.63/5.35 | Applying alpha-rule on (2638) yields: % 20.63/5.35 | (313) all_0_57_57 = e1 % 20.63/5.35 | (378) ~ (all_0_59_59 = e3) % 20.63/5.35 | % 20.63/5.35 | Equations (375) can reduce 378 to: % 20.63/5.35 | (251) $false % 20.63/5.35 | % 20.63/5.35 |-The branch is then unsatisfiable % 20.63/5.35 |-Branch two: % 20.63/5.35 | (2642) all_0_58_58 = e1 & ~ (all_0_59_59 = e2) % 20.63/5.35 | % 20.63/5.35 | Applying alpha-rule on (2642) yields: % 20.63/5.35 | (323) all_0_58_58 = e1 % 20.63/5.35 | (1029) ~ (all_0_59_59 = e2) % 20.63/5.35 | % 20.63/5.35 | Combining equations (1060,323) yields a new equation: % 20.63/5.35 | (288) e1 = e0 % 20.63/5.35 | % 20.63/5.35 | Equations (288) can reduce 204 to: % 20.63/5.35 | (251) $false % 20.63/5.35 | % 20.63/5.35 |-The branch is then unsatisfiable % 20.63/5.35 |-Branch two: % 20.63/5.35 | (2647) all_0_60_60 = e1 & ~ (all_0_63_63 = e4) % 20.63/5.35 | % 20.63/5.35 | Applying alpha-rule on (2647) yields: % 20.63/5.35 | (647) all_0_60_60 = e1 % 20.63/5.35 | (571) ~ (all_0_63_63 = e4) % 20.63/5.35 | % 20.63/5.35 | Combining equations (1119,647) yields a new equation: % 20.63/5.35 | (288) e1 = e0 % 20.63/5.35 | % 20.63/5.35 | Equations (288) can reduce 204 to: % 20.63/5.35 | (251) $false % 20.63/5.35 | % 20.63/5.35 |-The branch is then unsatisfiable % 20.63/5.35 |-Branch two: % 20.63/5.36 | (2652) all_0_62_62 = e1 & ~ (all_0_63_63 = e2) % 20.63/5.36 | % 20.63/5.36 | Applying alpha-rule on (2652) yields: % 20.63/5.36 | (327) all_0_62_62 = e1 % 20.63/5.36 | (366) ~ (all_0_63_63 = e2) % 20.63/5.36 | % 20.63/5.36 | Equations (573) can reduce 366 to: % 20.63/5.36 | (251) $false % 20.63/5.36 | % 20.63/5.36 |-The branch is then unsatisfiable % 20.63/5.36 |-Branch two: % 20.63/5.36 | (2656) all_0_64_64 = e1 & ~ (all_0_67_67 = e4) % 20.63/5.36 | % 20.63/5.36 | Applying alpha-rule on (2656) yields: % 20.63/5.36 | (306) all_0_64_64 = e1 % 20.63/5.36 | (1581) ~ (all_0_67_67 = e4) % 20.63/5.36 | % 20.63/5.36 | Equations (1251) can reduce 1581 to: % 20.63/5.36 | (251) $false % 20.63/5.36 | % 20.63/5.36 |-The branch is then unsatisfiable % 20.63/5.36 |-Branch two: % 20.63/5.36 | (2660) all_0_65_65 = e1 & ~ (all_0_67_67 = e3) % 20.63/5.36 | % 20.63/5.36 | Applying alpha-rule on (2660) yields: % 20.63/5.36 | (619) all_0_65_65 = e1 % 20.63/5.36 | (629) ~ (all_0_67_67 = e3) % 20.63/5.36 | % 20.63/5.36 | Combining equations (1448,619) yields a new equation: % 20.63/5.36 | (288) e1 = e0 % 20.63/5.36 | % 20.63/5.36 | Equations (288) can reduce 204 to: % 20.63/5.36 | (251) $false % 20.63/5.36 | % 20.63/5.36 |-The branch is then unsatisfiable % 20.63/5.36 |-Branch two: % 20.63/5.36 | (642) ~ (all_0_64_64 = e1) % 20.63/5.36 | (703) all_0_65_65 = e1 | all_0_66_66 = e1 % 20.63/5.36 | % 20.63/5.36 +-Applying beta-rule and splitting (1802), into two cases. % 20.63/5.36 |-Branch one: % 20.63/5.36 | (619) all_0_65_65 = e1 % 20.63/5.36 | % 20.63/5.36 | Equations (619) can reduce 308 to: % 20.63/5.36 | (251) $false % 20.63/5.36 | % 20.63/5.36 |-The branch is then unsatisfiable % 20.63/5.36 |-Branch two: % 20.63/5.36 | (308) ~ (all_0_65_65 = e1) % 20.63/5.36 | (1448) all_0_65_65 = e0 % 20.63/5.36 | % 20.63/5.36 | Equations (1448) can reduce 308 to: % 20.63/5.36 | (276) ~ (e1 = e0) % 20.63/5.36 | % 20.63/5.36 | Simplifying 276 yields: % 20.63/5.36 | (204) ~ (e1 = e0) % 20.63/5.36 | % 20.63/5.36 +-Applying beta-rule and splitting (703), into two cases. % 20.63/5.36 |-Branch one: % 20.63/5.36 | (619) all_0_65_65 = e1 % 20.63/5.36 | % 20.63/5.36 | Combining equations (1448,619) yields a new equation: % 20.63/5.36 | (288) e1 = e0 % 20.63/5.36 | % 20.63/5.36 | Equations (288) can reduce 204 to: % 20.63/5.36 | (251) $false % 20.63/5.36 | % 20.63/5.36 |-The branch is then unsatisfiable % 20.63/5.36 |-Branch two: % 20.63/5.36 | (308) ~ (all_0_65_65 = e1) % 20.63/5.36 | (546) all_0_66_66 = e1 % 20.63/5.36 | % 20.63/5.36 | Combining equations (538,546) yields a new equation: % 20.63/5.36 | (660) e3 = e1 % 20.63/5.36 | % 20.63/5.36 | Simplifying 660 yields: % 20.63/5.36 | (661) e3 = e1 % 20.63/5.36 | % 20.63/5.36 | Equations (661) can reduce 15 to: % 20.63/5.36 | (251) $false % 20.63/5.36 | % 20.63/5.36 |-The branch is then unsatisfiable % 20.63/5.36 |-Branch two: % 20.63/5.36 | (635) ~ (all_0_57_57 = e1) % 20.63/5.36 | (1840) all_0_57_57 = e0 % 20.63/5.36 | % 20.63/5.36 | Equations (1840) can reduce 1147 to: % 20.63/5.36 | (251) $false % 20.63/5.36 | % 20.63/5.36 |-The branch is then unsatisfiable % 20.63/5.36 |-Branch two: % 20.63/5.36 | (632) ~ (all_0_62_62 = e1) % 20.63/5.36 | (925) all_0_62_62 = e0 % 20.63/5.36 | % 20.63/5.36 | Equations (925) can reduce 838 to: % 20.63/5.36 | (251) $false % 20.63/5.36 | % 20.63/5.36 |-The branch is then unsatisfiable % 20.63/5.36 |-Branch two: % 20.63/5.36 | (267) ~ (all_0_60_60 = e0) % 20.63/5.36 | (2002) all_0_61_61 = e0 | all_0_62_62 = e0 | all_0_63_63 = e0 % 20.63/5.36 | % 20.63/5.36 +-Applying beta-rule and splitting (206), into two cases. % 20.63/5.36 |-Branch one: % 20.63/5.36 | (261) all_0_56_56 = e0 % 20.63/5.36 | % 20.63/5.36 | Combining equations (261,254) yields a new equation: % 20.63/5.36 | (355) e2 = e0 % 20.63/5.36 | % 20.63/5.36 | Equations (355) can reduce 48 to: % 20.63/5.36 | (251) $false % 20.63/5.36 | % 20.63/5.36 |-The branch is then unsatisfiable % 20.63/5.36 |-Branch two: % 20.63/5.36 | (1519) ~ (all_0_56_56 = e0) % 20.63/5.36 | (1520) all_0_60_60 = e0 | all_0_64_64 = e0 | all_0_68_68 = e0 % 20.63/5.36 | % 20.63/5.36 +-Applying beta-rule and splitting (144), into two cases. % 20.63/5.36 |-Branch one: % 20.63/5.36 | (258) all_0_56_56 = e1 % 20.63/5.36 | % 20.63/5.36 | Combining equations (258,254) yields a new equation: % 20.63/5.36 | (337) e2 = e1 % 20.63/5.36 | % 20.67/5.36 | Equations (337) can reduce 184 to: % 20.67/5.36 | (251) $false % 20.67/5.36 | % 20.67/5.36 |-The branch is then unsatisfiable % 20.67/5.36 |-Branch two: % 20.67/5.36 | (245) ~ (all_0_56_56 = e1) % 20.67/5.36 | (1190) all_0_57_57 = e1 | all_0_58_58 = e1 % 20.67/5.36 | % 20.67/5.36 +-Applying beta-rule and splitting (326), into two cases. % 20.67/5.36 |-Branch one: % 20.67/5.36 | (327) all_0_62_62 = e1 % 20.67/5.36 | % 20.67/5.36 | Equations (327) can reduce 838 to: % 20.67/5.36 | (204) ~ (e1 = e0) % 20.67/5.36 | % 20.67/5.36 +-Applying beta-rule and splitting (68), into two cases. % 20.67/5.36 |-Branch one: % 20.67/5.36 | (278) all_0_60_60 = e2 % 20.67/5.36 | % 20.67/5.36 | Equations (278) can reduce 666 to: % 20.67/5.36 | (251) $false % 20.67/5.36 | % 20.67/5.36 |-The branch is then unsatisfiable % 20.67/5.36 |-Branch two: % 20.67/5.36 | (666) ~ (all_0_60_60 = e2) % 20.67/5.36 | (667) all_0_60_60 = e1 | all_0_60_60 = e0 % 20.67/5.36 | % 20.67/5.36 +-Applying beta-rule and splitting (1190), into two cases. % 20.67/5.36 |-Branch one: % 20.67/5.36 | (313) all_0_57_57 = e1 % 20.67/5.36 | % 20.67/5.36 | Equations (313) can reduce 91 to: % 20.67/5.36 | (307) ~ (all_0_65_65 = e1) % 20.67/5.36 | % 20.67/5.36 | Simplifying 307 yields: % 20.67/5.36 | (308) ~ (all_0_65_65 = e1) % 20.67/5.36 | % 20.67/5.36 | Equations (313) can reduce 124 to: % 20.67/5.36 | (736) ~ (e3 = e1) % 20.67/5.36 | % 20.67/5.36 | Simplifying 736 yields: % 20.67/5.36 | (15) ~ (e3 = e1) % 20.67/5.36 | % 20.67/5.36 +-Applying beta-rule and splitting (166), into two cases. % 20.67/5.36 |-Branch one: % 20.67/5.36 | (306) all_0_64_64 = e1 % 20.67/5.36 | % 20.67/5.36 | Equations (306) can reduce 218 to: % 20.67/5.36 | (651) ~ (all_0_60_60 = e1) % 20.67/5.36 | % 20.67/5.36 +-Applying beta-rule and splitting (1520), into two cases. % 20.67/5.36 |-Branch one: % 20.67/5.36 | (1119) all_0_60_60 = e0 % 20.67/5.36 | % 20.67/5.36 | Equations (1119) can reduce 267 to: % 20.67/5.36 | (251) $false % 20.67/5.36 | % 20.67/5.36 |-The branch is then unsatisfiable % 20.67/5.36 |-Branch two: % 20.67/5.36 | (267) ~ (all_0_60_60 = e0) % 20.67/5.36 | (1524) all_0_64_64 = e0 | all_0_68_68 = e0 % 20.67/5.36 | % 20.67/5.36 +-Applying beta-rule and splitting (667), into two cases. % 20.67/5.36 |-Branch one: % 20.67/5.36 | (647) all_0_60_60 = e1 % 20.67/5.36 | % 20.67/5.36 | Equations (647) can reduce 651 to: % 20.67/5.36 | (251) $false % 20.67/5.36 | % 20.67/5.36 |-The branch is then unsatisfiable % 20.67/5.36 |-Branch two: % 20.67/5.36 | (651) ~ (all_0_60_60 = e1) % 20.67/5.36 | (1119) all_0_60_60 = e0 % 20.67/5.36 | % 20.67/5.36 | Equations (1119) can reduce 267 to: % 20.67/5.36 | (251) $false % 20.67/5.36 | % 20.67/5.36 |-The branch is then unsatisfiable % 20.67/5.36 |-Branch two: % 20.67/5.36 | (642) ~ (all_0_64_64 = e1) % 20.67/5.36 | (703) all_0_65_65 = e1 | all_0_66_66 = e1 % 20.67/5.36 | % 20.67/5.36 +-Applying beta-rule and splitting (703), into two cases. % 20.67/5.36 |-Branch one: % 20.67/5.36 | (619) all_0_65_65 = e1 % 20.67/5.36 | % 20.67/5.36 | Equations (619) can reduce 308 to: % 20.67/5.36 | (251) $false % 20.67/5.36 | % 20.67/5.36 |-The branch is then unsatisfiable % 20.67/5.36 |-Branch two: % 20.67/5.36 | (308) ~ (all_0_65_65 = e1) % 20.67/5.36 | (546) all_0_66_66 = e1 % 20.67/5.36 | % 20.67/5.36 | Combining equations (538,546) yields a new equation: % 20.67/5.36 | (660) e3 = e1 % 20.67/5.36 | % 20.67/5.36 | Simplifying 660 yields: % 20.67/5.36 | (661) e3 = e1 % 20.67/5.36 | % 20.67/5.36 | Equations (661) can reduce 15 to: % 20.67/5.36 | (251) $false % 20.67/5.36 | % 20.67/5.36 |-The branch is then unsatisfiable % 20.67/5.36 |-Branch two: % 20.67/5.36 | (635) ~ (all_0_57_57 = e1) % 20.67/5.36 | (323) all_0_58_58 = e1 % 20.67/5.36 | % 20.67/5.36 | Combining equations (323,1060) yields a new equation: % 20.67/5.36 | (287) e1 = e0 % 20.67/5.36 | % 20.67/5.36 | Simplifying 287 yields: % 20.67/5.36 | (288) e1 = e0 % 20.67/5.36 | % 20.67/5.36 | Equations (288) can reduce 204 to: % 20.67/5.36 | (251) $false % 20.67/5.36 | % 20.67/5.36 |-The branch is then unsatisfiable % 20.67/5.36 |-Branch two: % 20.67/5.36 | (632) ~ (all_0_62_62 = e1) % 20.67/5.36 | (546) all_0_66_66 = e1 % 20.67/5.36 | % 20.67/5.36 | Combining equations (538,546) yields a new equation: % 20.67/5.36 | (660) e3 = e1 % 20.67/5.36 | % 20.67/5.36 | Simplifying 660 yields: % 20.67/5.36 | (661) e3 = e1 % 20.67/5.36 | % 20.67/5.36 | Equations (661) can reduce 15 to: % 20.67/5.36 | (251) $false % 20.67/5.36 | % 20.67/5.36 |-The branch is then unsatisfiable % 20.67/5.36 |-Branch two: % 20.67/5.36 | (378) ~ (all_0_59_59 = e3) % 20.67/5.36 | (379) all_0_67_67 = e3 | all_0_71_71 = e3 % 20.67/5.36 | % 20.67/5.36 +-Applying beta-rule and splitting (379), into two cases. % 20.67/5.36 |-Branch one: % 20.67/5.36 | (380) all_0_67_67 = e3 % 20.67/5.36 | % 20.67/5.36 | Combining equations (1251,380) yields a new equation: % 20.67/5.36 | (1463) e4 = e3 % 20.67/5.36 | % 20.67/5.36 | Simplifying 1463 yields: % 20.67/5.36 | (935) e4 = e3 % 20.67/5.36 | % 20.67/5.36 | Equations (935) can reduce 130 to: % 20.67/5.36 | (251) $false % 20.67/5.36 | % 20.67/5.36 |-The branch is then unsatisfiable % 20.67/5.36 |-Branch two: % 20.67/5.36 | (629) ~ (all_0_67_67 = e3) % 20.67/5.36 | (558) all_0_71_71 = e3 % 20.67/5.36 | % 20.67/5.36 | Equations (558) can reduce 297 to: % 20.67/5.36 | (251) $false % 20.67/5.36 | % 20.67/5.36 |-The branch is then unsatisfiable % 20.67/5.36 |-Branch two: % 20.67/5.36 | (542) ~ (all_0_66_66 = e3) % 20.67/5.36 | (380) all_0_67_67 = e3 % 20.67/5.36 | % 20.67/5.36 | Combining equations (1251,380) yields a new equation: % 20.67/5.36 | (1463) e4 = e3 % 20.67/5.36 | % 20.67/5.36 | Simplifying 1463 yields: % 20.67/5.36 | (935) e4 = e3 % 20.67/5.36 | % 20.67/5.36 | Equations (935) can reduce 130 to: % 20.67/5.36 | (251) $false % 20.67/5.36 | % 20.67/5.36 |-The branch is then unsatisfiable % 20.67/5.36 |-Branch two: % 20.67/5.36 | (1581) ~ (all_0_67_67 = e4) % 20.67/5.36 | (552) all_0_71_71 = e4 % 20.67/5.36 | % 20.67/5.36 | Equations (552) can reduce 556 to: % 20.67/5.36 | (251) $false % 20.67/5.36 | % 20.67/5.36 |-The branch is then unsatisfiable % 20.67/5.36 |-Branch two: % 20.67/5.36 | (512) ~ (all_0_61_61 = e4) % 20.67/5.36 | (2758) all_0_62_62 = e4 | all_0_63_63 = e4 % 20.67/5.36 | % 20.67/5.36 +-Applying beta-rule and splitting (2758), into two cases. % 20.67/5.36 |-Branch one: % 20.67/5.36 | (845) all_0_62_62 = e4 % 20.67/5.36 | % 20.67/5.36 | Equations (845) can reduce 920 to: % 20.67/5.36 | (251) $false % 20.67/5.36 | % 20.67/5.36 |-The branch is then unsatisfiable % 20.67/5.36 |-Branch two: % 20.67/5.36 | (920) ~ (all_0_62_62 = e4) % 20.67/5.36 | (498) all_0_63_63 = e4 % 20.67/5.36 | % 20.67/5.36 | Combining equations (573,498) yields a new equation: % 20.67/5.36 | (480) e4 = e2 % 20.67/5.36 | % 20.67/5.36 | Equations (480) can reduce 49 to: % 20.67/5.36 | (251) $false % 20.67/5.36 | % 20.67/5.36 |-The branch is then unsatisfiable % 20.67/5.36 |-Branch two: % 20.67/5.36 | (366) ~ (all_0_63_63 = e2) % 20.67/5.36 | (563) all_0_71_71 = e2 % 20.67/5.36 | % 20.67/5.36 | Equations (563) can reduce 370 to: % 20.67/5.36 | (251) $false % 20.67/5.36 | % 20.67/5.36 |-The branch is then unsatisfiable % 20.67/5.37 |-Branch two: % 20.67/5.37 | (523) all_0_61_61 = e1 % 20.67/5.37 | (297) ~ (all_0_71_71 = e3) % 20.67/5.37 | % 20.67/5.37 | Equations (523) can reduce 126 to: % 20.67/5.37 | (635) ~ (all_0_57_57 = e1) % 20.67/5.37 | % 20.67/5.37 | Equations (523) can reduce 39 to: % 20.67/5.37 | (651) ~ (all_0_60_60 = e1) % 20.67/5.37 | % 20.67/5.37 | Equations (523) can reduce 104 to: % 20.67/5.37 | (318) ~ (all_0_69_69 = e1) % 20.67/5.37 | % 20.67/5.37 | Simplifying 318 yields: % 20.67/5.37 | (156) ~ (all_0_69_69 = e1) % 20.67/5.37 | % 20.67/5.37 | Equations (523) can reduce 87 to: % 20.67/5.37 | (736) ~ (e3 = e1) % 20.67/5.37 | % 20.67/5.37 | Simplifying 736 yields: % 20.67/5.37 | (15) ~ (e3 = e1) % 20.67/5.37 | % 20.67/5.37 +-Applying beta-rule and splitting (144), into two cases. % 20.67/5.37 |-Branch one: % 20.67/5.37 | (258) all_0_56_56 = e1 % 20.67/5.37 | % 20.67/5.37 | Equations (258) can reduce 245 to: % 20.67/5.37 | (251) $false % 20.67/5.37 | % 20.67/5.37 |-The branch is then unsatisfiable % 20.67/5.37 |-Branch two: % 20.67/5.37 | (245) ~ (all_0_56_56 = e1) % 20.67/5.37 | (1190) all_0_57_57 = e1 | all_0_58_58 = e1 % 20.67/5.37 | % 20.67/5.37 +-Applying beta-rule and splitting (172), into two cases. % 20.67/5.37 |-Branch one: % 20.67/5.37 | (258) all_0_56_56 = e1 % 20.67/5.37 | % 20.67/5.37 | Equations (258) can reduce 245 to: % 20.67/5.37 | (251) $false % 20.67/5.37 | % 20.67/5.37 |-The branch is then unsatisfiable % 20.67/5.37 |-Branch two: % 20.67/5.37 | (245) ~ (all_0_56_56 = e1) % 20.67/5.37 | (291) all_0_60_60 = e1 | all_0_64_64 = e1 % 20.67/5.37 | % 20.67/5.37 +-Applying beta-rule and splitting (1190), into two cases. % 20.67/5.37 |-Branch one: % 20.67/5.37 | (313) all_0_57_57 = e1 % 20.67/5.37 | % 20.67/5.37 | Equations (313) can reduce 635 to: % 20.67/5.37 | (251) $false % 20.67/5.37 | % 20.67/5.37 |-The branch is then unsatisfiable % 20.67/5.37 |-Branch two: % 20.67/5.37 | (635) ~ (all_0_57_57 = e1) % 20.67/5.37 | (323) all_0_58_58 = e1 % 20.67/5.37 | % 20.67/5.37 | Equations (323) can reduce 71 to: % 20.67/5.37 | (635) ~ (all_0_57_57 = e1) % 20.67/5.37 | % 20.67/5.37 | Equations (323) can reduce 229 to: % 20.67/5.37 | (1850) ~ (all_0_59_59 = e1) % 20.67/5.37 | % 20.67/5.37 | Simplifying 1850 yields: % 20.67/5.37 | (171) ~ (all_0_59_59 = e1) % 20.67/5.37 | % 20.67/5.37 | Equations (323) can reduce 180 to: % 20.67/5.37 | (712) ~ (all_0_62_62 = e1) % 20.67/5.37 | % 20.67/5.37 | Simplifying 712 yields: % 20.67/5.37 | (632) ~ (all_0_62_62 = e1) % 20.67/5.37 | % 20.67/5.37 | Equations (323) can reduce 224 to: % 20.67/5.37 | (716) ~ (all_0_70_70 = e1) % 20.67/5.37 | % 20.67/5.37 | Simplifying 716 yields: % 20.67/5.37 | (93) ~ (all_0_70_70 = e1) % 20.67/5.37 | % 20.67/5.37 | From (323) and (90) follows: % 20.67/5.37 | (1207) op(e4, e1) = all_0_43_43 % 20.67/5.37 | % 20.67/5.37 | From (323) and (160) follows: % 20.67/5.37 | (719) op(e4, e2) = e1 % 20.67/5.37 | % 20.67/5.37 | From (323) and (192) follows: % 20.67/5.37 | (1209) op(e2, e1) = all_0_42_42 % 20.67/5.37 | % 20.67/5.37 +-Applying beta-rule and splitting (291), into two cases. % 20.67/5.37 |-Branch one: % 20.67/5.37 | (647) all_0_60_60 = e1 % 20.67/5.37 | % 20.67/5.37 | Equations (647) can reduce 651 to: % 20.67/5.37 | (251) $false % 20.67/5.37 | % 20.67/5.37 |-The branch is then unsatisfiable % 20.67/5.37 |-Branch two: % 20.67/5.37 | (651) ~ (all_0_60_60 = e1) % 20.67/5.37 | (306) all_0_64_64 = e1 % 20.67/5.37 | % 20.67/5.37 | Equations (306) can reduce 122 to: % 20.67/5.37 | (245) ~ (all_0_56_56 = e1) % 20.67/5.37 | % 20.67/5.37 | Equations (306) can reduce 218 to: % 20.67/5.37 | (651) ~ (all_0_60_60 = e1) % 20.67/5.37 | % 20.67/5.37 | Equations (306) can reduce 191 to: % 20.67/5.37 | (307) ~ (all_0_65_65 = e1) % 20.67/5.37 | % 20.67/5.37 | Simplifying 307 yields: % 20.67/5.37 | (308) ~ (all_0_65_65 = e1) % 20.67/5.37 | % 20.67/5.37 | Equations (306) can reduce 100 to: % 20.67/5.37 | (309) ~ (all_0_66_66 = e1) % 20.67/5.37 | % 20.67/5.37 | Simplifying 309 yields: % 20.67/5.37 | (248) ~ (all_0_66_66 = e1) % 20.67/5.37 | % 20.67/5.37 | Equations (306) can reduce 196 to: % 20.67/5.37 | (1509) ~ (all_0_67_67 = e1) % 20.67/5.37 | % 20.67/5.37 | Simplifying 1509 yields: % 20.67/5.37 | (19) ~ (all_0_67_67 = e1) % 20.67/5.37 | % 20.67/5.37 | Equations (306) can reduce 155 to: % 20.67/5.37 | (675) ~ (all_0_68_68 = e1) % 20.67/5.37 | % 20.67/5.37 | Simplifying 675 yields: % 20.67/5.37 | (108) ~ (all_0_68_68 = e1) % 20.67/5.37 | % 20.67/5.37 | Equations (306) can reduce 115 to: % 20.67/5.37 | (2010) ~ (e4 = e1) % 20.67/5.37 | % 20.67/5.37 | Simplifying 2010 yields: % 20.67/5.37 | (193) ~ (e4 = e1) % 20.67/5.37 | % 20.67/5.37 | Equations (306) can reduce 198 to: % 20.67/5.37 | (328) ~ (e2 = e1) % 20.67/5.37 | % 20.67/5.37 | Simplifying 328 yields: % 20.67/5.37 | (184) ~ (e2 = e1) % 20.67/5.37 | % 20.67/5.37 | From (306) and (152) follows: % 20.67/5.37 | (1513) op(e4, e1) = all_0_31_31 % 20.67/5.37 | % 20.67/5.37 | From (306) and (133) follows: % 20.67/5.37 | (312) op(e2, e1) = all_0_32_32 % 20.67/5.37 | % 20.67/5.37 | From (306) and (195) follows: % 20.67/5.37 | (1515) op(e2, e4) = e1 % 20.67/5.37 | % 20.67/5.37 | Instantiating formula (61) with e4, e1, all_0_31_31, all_0_59_59 and discharging atoms op(e4, e1) = all_0_31_31, op(e4, e1) = all_0_59_59, yields: % 20.67/5.37 | (2819) all_0_31_31 = all_0_59_59 % 20.67/5.37 | % 20.67/5.37 | Instantiating formula (61) with e4, e1, all_0_43_43, all_0_31_31 and discharging atoms op(e4, e1) = all_0_31_31, op(e4, e1) = all_0_43_43, yields: % 20.67/5.37 | (2820) all_0_31_31 = all_0_43_43 % 20.67/5.37 | % 20.67/5.37 | Instantiating formula (61) with e2, e1, all_0_32_32, all_0_67_67 and discharging atoms op(e2, e1) = all_0_32_32, op(e2, e1) = all_0_67_67, yields: % 20.67/5.37 | (2821) all_0_32_32 = all_0_67_67 % 20.67/5.37 | % 20.67/5.37 | Instantiating formula (61) with e2, e1, all_0_42_42, all_0_32_32 and discharging atoms op(e2, e1) = all_0_32_32, op(e2, e1) = all_0_42_42, yields: % 20.67/5.37 | (2822) all_0_32_32 = all_0_42_42 % 20.67/5.37 | % 20.67/5.37 | Combining equations (2820,2819) yields a new equation: % 20.67/5.37 | (2823) all_0_43_43 = all_0_59_59 % 20.67/5.37 | % 20.67/5.37 | Simplifying 2823 yields: % 20.67/5.37 | (2824) all_0_43_43 = all_0_59_59 % 20.67/5.37 | % 20.67/5.37 | Combining equations (2821,2822) yields a new equation: % 20.67/5.37 | (2825) all_0_42_42 = all_0_67_67 % 20.67/5.37 | % 20.67/5.37 | From (2824) and (1207) follows: % 20.67/5.37 | (25) op(e4, e1) = all_0_59_59 % 20.67/5.37 | % 20.67/5.37 | From (2825) and (1209) follows: % 20.67/5.37 | (185) op(e2, e1) = all_0_67_67 % 20.67/5.37 | % 20.67/5.37 +-Applying beta-rule and splitting (127), into two cases. % 20.67/5.37 |-Branch one: % 20.67/5.37 | (247) ~ (all_0_56_56 = e2) % 20.67/5.37 | % 20.67/5.37 +-Applying beta-rule and splitting (207), into two cases. % 20.67/5.37 |-Branch one: % 20.67/5.37 | (375) all_0_59_59 = e3 % 20.67/5.37 | % 20.67/5.37 | Equations (375) can reduce 154 to: % 20.67/5.37 | (249) ~ (all_0_56_56 = e3) % 20.67/5.37 | % 20.67/5.37 | Equations (375) can reduce 233 to: % 20.67/5.37 | (124) ~ (all_0_57_57 = e3) % 20.67/5.37 | % 20.67/5.37 | Equations (375) can reduce 171 to: % 20.67/5.37 | (15) ~ (e3 = e1) % 20.67/5.37 | % 20.67/5.37 | From (375) and (25) follows: % 20.67/5.37 | (2833) op(e4, e1) = e3 % 20.67/5.37 | % 20.67/5.37 +-Applying beta-rule and splitting (27), into two cases. % 20.67/5.37 |-Branch one: % 20.67/5.37 | (250) all_0_56_56 = e3 % 20.67/5.37 | % 20.67/5.37 | Equations (250) can reduce 249 to: % 20.67/5.37 | (251) $false % 20.67/5.37 | % 20.67/5.37 |-The branch is then unsatisfiable % 20.67/5.37 |-Branch two: % 20.67/5.37 | (249) ~ (all_0_56_56 = e3) % 20.67/5.37 | (658) all_0_64_64 = e3 | all_0_68_68 = e3 % 20.67/5.37 | % 20.67/5.37 +-Applying beta-rule and splitting (658), into two cases. % 20.67/5.37 |-Branch one: % 20.67/5.37 | (302) all_0_64_64 = e3 % 20.67/5.37 | % 20.67/5.37 | Combining equations (302,306) yields a new equation: % 20.67/5.37 | (660) e3 = e1 % 20.67/5.37 | % 20.67/5.37 | Simplifying 660 yields: % 20.67/5.37 | (661) e3 = e1 % 20.67/5.37 | % 20.67/5.37 | Equations (661) can reduce 15 to: % 20.67/5.37 | (251) $false % 20.67/5.37 | % 20.67/5.37 |-The branch is then unsatisfiable % 20.67/5.37 |-Branch two: % 20.67/5.37 | (293) ~ (all_0_64_64 = e3) % 20.67/5.37 | (292) all_0_68_68 = e3 % 20.67/5.37 | % 20.67/5.37 | Equations (292) can reduce 51 to: % 20.67/5.37 | (249) ~ (all_0_56_56 = e3) % 20.67/5.37 | % 20.67/5.37 | Equations (292) can reduce 83 to: % 20.67/5.37 | (46) ~ (all_0_60_60 = e3) % 20.67/5.37 | % 20.67/5.37 | Equations (292) can reduce 194 to: % 20.67/5.37 | (294) ~ (all_0_69_69 = e3) % 20.67/5.37 | % 20.67/5.37 | Simplifying 294 yields: % 20.67/5.37 | (238) ~ (all_0_69_69 = e3) % 20.67/5.37 | % 20.67/5.37 | Equations (292) can reduce 205 to: % 20.67/5.37 | (396) ~ (all_0_70_70 = e3) % 20.67/5.37 | % 20.67/5.37 | Simplifying 396 yields: % 20.67/5.37 | (397) ~ (all_0_70_70 = e3) % 20.67/5.37 | % 20.67/5.37 | Equations (292) can reduce 24 to: % 20.67/5.37 | (296) ~ (all_0_71_71 = e3) % 20.67/5.37 | % 20.67/5.37 | Simplifying 296 yields: % 20.67/5.37 | (297) ~ (all_0_71_71 = e3) % 20.67/5.37 | % 20.67/5.37 | Equations (292) can reduce 108 to: % 20.67/5.37 | (15) ~ (e3 = e1) % 20.67/5.37 | % 20.67/5.37 +-Applying beta-rule and splitting (131), into two cases. % 20.67/5.37 |-Branch one: % 20.67/5.37 | (250) all_0_56_56 = e3 % 20.67/5.37 | % 20.67/5.37 | Equations (250) can reduce 249 to: % 20.67/5.37 | (251) $false % 20.67/5.37 | % 20.67/5.37 |-The branch is then unsatisfiable % 20.67/5.37 |-Branch two: % 20.67/5.37 | (249) ~ (all_0_56_56 = e3) % 20.67/5.37 | (253) all_0_56_56 = e2 | all_0_56_56 = e1 | all_0_56_56 = e0 % 20.67/5.37 | % 20.67/5.37 +-Applying beta-rule and splitting (54), into two cases. % 20.67/5.37 |-Branch one: % 20.67/5.37 | (395) all_0_58_58 = e3 % 20.67/5.37 | % 20.67/5.37 | Combining equations (323,395) yields a new equation: % 20.67/5.37 | (661) e3 = e1 % 20.67/5.37 | % 20.67/5.37 | Equations (661) can reduce 15 to: % 20.67/5.37 | (251) $false % 20.67/5.37 | % 20.67/5.37 |-The branch is then unsatisfiable % 20.67/5.37 |-Branch two: % 20.67/5.37 | (621) ~ (all_0_58_58 = e3) % 20.67/5.37 | (758) all_0_66_66 = e3 | all_0_70_70 = e3 % 20.67/5.37 | % 20.67/5.37 +-Applying beta-rule and splitting (177), into two cases. % 20.67/5.37 |-Branch one: % 20.67/5.37 | (254) all_0_56_56 = e2 % 20.67/5.37 | % 20.67/5.37 | Equations (254) can reduce 247 to: % 20.67/5.37 | (251) $false % 20.67/5.37 | % 20.67/5.37 |-The branch is then unsatisfiable % 20.67/5.37 |-Branch two: % 20.67/5.37 | (247) ~ (all_0_56_56 = e2) % 20.67/5.37 | (358) all_0_57_57 = e2 | all_0_59_59 = e2 % 20.67/5.37 | % 20.67/5.37 +-Applying beta-rule and splitting (253), into two cases. % 20.67/5.37 |-Branch one: % 20.67/5.37 | (254) all_0_56_56 = e2 % 20.67/5.37 | % 20.67/5.37 | Equations (254) can reduce 247 to: % 20.67/5.37 | (251) $false % 20.67/5.37 | % 20.67/5.37 |-The branch is then unsatisfiable % 20.67/5.37 |-Branch two: % 20.67/5.37 | (247) ~ (all_0_56_56 = e2) % 20.67/5.37 | (257) all_0_56_56 = e1 | all_0_56_56 = e0 % 20.67/5.37 | % 20.67/5.37 +-Applying beta-rule and splitting (257), into two cases. % 20.67/5.37 |-Branch one: % 20.67/5.37 | (258) all_0_56_56 = e1 % 20.67/5.37 | % 20.67/5.37 | Equations (258) can reduce 245 to: % 20.67/5.37 | (251) $false % 20.67/5.37 | % 20.67/5.37 |-The branch is then unsatisfiable % 20.67/5.37 |-Branch two: % 20.67/5.37 | (245) ~ (all_0_56_56 = e1) % 20.67/5.37 | (261) all_0_56_56 = e0 % 20.67/5.37 | % 20.67/5.37 | Equations (261) can reduce 50 to: % 20.67/5.37 | (2874) ~ (all_0_57_57 = e0) % 20.67/5.37 | % 20.67/5.37 | Simplifying 2874 yields: % 20.67/5.37 | (1147) ~ (all_0_57_57 = e0) % 20.67/5.37 | % 20.67/5.37 | Equations (261) can reduce 114 to: % 20.67/5.37 | (266) ~ (all_0_60_60 = e0) % 20.67/5.37 | % 20.67/5.37 | Simplifying 266 yields: % 20.67/5.37 | (267) ~ (all_0_60_60 = e0) % 20.67/5.37 | % 20.67/5.37 | Equations (261) can reduce 92 to: % 20.67/5.37 | (514) ~ (e4 = e0) % 20.67/5.37 | % 20.67/5.37 | Simplifying 514 yields: % 20.67/5.37 | (17) ~ (e4 = e0) % 20.67/5.37 | % 20.67/5.37 | Equations (261) can reduce 247 to: % 20.67/5.37 | (274) ~ (e2 = e0) % 20.67/5.37 | % 20.67/5.37 | Simplifying 274 yields: % 20.67/5.37 | (48) ~ (e2 = e0) % 20.67/5.37 | % 20.67/5.37 | Equations (261) can reduce 245 to: % 20.67/5.37 | (276) ~ (e1 = e0) % 20.67/5.37 | % 20.67/5.37 | Simplifying 276 yields: % 20.67/5.37 | (204) ~ (e1 = e0) % 20.67/5.37 | % 20.67/5.37 +-Applying beta-rule and splitting (758), into two cases. % 20.67/5.37 |-Branch one: % 20.67/5.37 | (538) all_0_66_66 = e3 % 20.67/5.37 | % 20.67/5.37 | Equations (538) can reduce 135 to: % 20.67/5.37 | (41) ~ (all_0_62_62 = e3) % 20.67/5.37 | % 20.67/5.37 | Equations (538) can reduce 85 to: % 20.67/5.37 | (770) ~ (all_0_67_67 = e3) % 20.67/5.37 | % 20.67/5.37 | Simplifying 770 yields: % 20.67/5.37 | (629) ~ (all_0_67_67 = e3) % 20.67/5.37 | % 20.67/5.37 | Equations (538) can reduce 82 to: % 20.67/5.37 | (396) ~ (all_0_70_70 = e3) % 20.67/5.37 | % 20.67/5.37 | Simplifying 396 yields: % 20.67/5.37 | (397) ~ (all_0_70_70 = e3) % 20.67/5.37 | % 20.67/5.37 +-Applying beta-rule and splitting (201), into two cases. % 20.67/5.37 |-Branch one: % 20.67/5.37 | (335) all_0_57_57 = e2 % 20.67/5.37 | % 20.67/5.37 | Equations (335) can reduce 18 to: % 20.67/5.37 | (730) ~ (all_0_69_69 = e2) % 20.67/5.37 | % 20.67/5.37 | Simplifying 730 yields: % 20.67/5.37 | (731) ~ (all_0_69_69 = e2) % 20.67/5.37 | % 20.67/5.37 | Equations (335) can reduce 124 to: % 20.67/5.37 | (345) ~ (e3 = e2) % 20.67/5.37 | % 20.67/5.37 | Simplifying 345 yields: % 20.67/5.37 | (128) ~ (e3 = e2) % 20.67/5.37 | % 20.67/5.37 | Equations (335) can reduce 1147 to: % 20.67/5.37 | (48) ~ (e2 = e0) % 20.67/5.37 | % 20.67/5.37 | From (335) and (137) follows: % 20.67/5.37 | (1167) op(e4, e2) = all_0_36_36 % 20.67/5.37 | % 20.67/5.37 +-Applying beta-rule and splitting (68), into two cases. % 20.67/5.37 |-Branch one: % 20.67/5.37 | (278) all_0_60_60 = e2 % 20.67/5.37 | % 20.67/5.37 | Equations (278) can reduce 168 to: % 20.67/5.37 | (281) ~ (all_0_62_62 = e2) % 20.67/5.37 | % 20.67/5.37 | Simplifying 281 yields: % 20.67/5.37 | (217) ~ (all_0_62_62 = e2) % 20.67/5.37 | % 20.67/5.37 | Equations (278) can reduce 46 to: % 20.67/5.37 | (345) ~ (e3 = e2) % 20.67/5.37 | % 20.67/5.37 | Simplifying 345 yields: % 20.67/5.37 | (128) ~ (e3 = e2) % 20.67/5.37 | % 20.67/5.37 | Equations (278) can reduce 267 to: % 20.67/5.37 | (48) ~ (e2 = e0) % 20.67/5.37 | % 20.67/5.37 | From (278) and (146) follows: % 20.67/5.37 | (1539) op(e4, e2) = all_0_29_29 % 20.67/5.37 | % 20.67/5.37 +-Applying beta-rule and splitting (112), into two cases. % 20.67/5.37 |-Branch one: % 20.67/5.37 | (729) all_0_68_68 = e2 % 20.67/5.37 | % 20.67/5.37 | Combining equations (729,292) yields a new equation: % 20.67/5.37 | (376) e3 = e2 % 20.67/5.37 | % 20.67/5.37 | Equations (376) can reduce 128 to: % 20.67/5.37 | (251) $false % 20.67/5.37 | % 20.67/5.37 |-The branch is then unsatisfiable % 20.67/5.37 |-Branch two: % 20.67/5.37 | (987) ~ (all_0_68_68 = e2) % 20.67/5.37 | (1570) all_0_69_69 = e2 | all_0_71_71 = e2 % 20.67/5.37 | % 20.67/5.37 +-Applying beta-rule and splitting (1570), into two cases. % 20.67/5.37 |-Branch one: % 20.67/5.37 | (344) all_0_69_69 = e2 % 20.67/5.37 | % 20.67/5.37 | Equations (344) can reduce 731 to: % 20.67/5.37 | (251) $false % 20.67/5.37 | % 20.67/5.37 |-The branch is then unsatisfiable % 20.67/5.37 |-Branch two: % 20.67/5.37 | (731) ~ (all_0_69_69 = e2) % 20.67/5.37 | (563) all_0_71_71 = e2 % 20.67/5.37 | % 20.67/5.38 | Equations (563) can reduce 226 to: % 20.67/5.38 | (366) ~ (all_0_63_63 = e2) % 20.67/5.38 | % 20.67/5.38 | Equations (563) can reduce 47 to: % 20.67/5.38 | (731) ~ (all_0_69_69 = e2) % 20.67/5.38 | % 20.67/5.38 | Equations (563) can reduce 297 to: % 20.67/5.38 | (345) ~ (e3 = e2) % 20.67/5.38 | % 20.67/5.38 | Simplifying 345 yields: % 20.67/5.38 | (128) ~ (e3 = e2) % 20.67/5.38 | % 20.67/5.38 | Instantiating formula (61) with e4, e2, all_0_29_29, e1 and discharging atoms op(e4, e2) = all_0_29_29, op(e4, e2) = e1, yields: % 20.67/5.38 | (2917) all_0_29_29 = e1 % 20.67/5.38 | % 20.67/5.38 | Instantiating formula (61) with e4, e2, all_0_36_36, all_0_29_29 and discharging atoms op(e4, e2) = all_0_29_29, op(e4, e2) = all_0_36_36, yields: % 20.67/5.38 | (2918) all_0_29_29 = all_0_36_36 % 20.67/5.38 | % 20.67/5.38 | Combining equations (2917,2918) yields a new equation: % 20.67/5.38 | (1383) all_0_36_36 = e1 % 20.67/5.38 | % 20.67/5.38 | From (1383) and (1167) follows: % 20.67/5.38 | (719) op(e4, e2) = e1 % 20.67/5.38 | % 20.67/5.38 +-Applying beta-rule and splitting (227), into two cases. % 20.67/5.38 |-Branch one: % 20.67/5.38 | (1243) all_0_65_65 = e4 % 20.67/5.38 | % 20.67/5.38 | Equations (1243) can reduce 164 to: % 20.67/5.38 | (1580) ~ (all_0_67_67 = e4) % 20.67/5.38 | % 20.67/5.38 | Simplifying 1580 yields: % 20.67/5.38 | (1581) ~ (all_0_67_67 = e4) % 20.67/5.38 | % 20.67/5.38 | Equations (1243) can reduce 73 to: % 20.67/5.38 | (2924) ~ (all_0_69_69 = e4) % 20.67/5.38 | % 20.67/5.38 | Simplifying 2924 yields: % 20.67/5.38 | (482) ~ (all_0_69_69 = e4) % 20.67/5.38 | % 20.67/5.38 | From (1243) and (178) follows: % 20.67/5.38 | (1577) op(e4, e2) = all_0_16_16 % 20.67/5.38 | % 20.67/5.38 +-Applying beta-rule and splitting (157), into two cases. % 20.67/5.38 |-Branch one: % 20.67/5.38 | (478) all_0_69_69 = e4 % 20.67/5.38 | % 20.67/5.38 | Equations (478) can reduce 482 to: % 20.67/5.38 | (251) $false % 20.67/5.38 | % 20.67/5.38 |-The branch is then unsatisfiable % 20.67/5.38 |-Branch two: % 20.67/5.38 | (482) ~ (all_0_69_69 = e4) % 20.67/5.38 | (483) all_0_70_70 = e4 | all_0_71_71 = e4 % 20.67/5.38 | % 20.67/5.38 +-Applying beta-rule and splitting (38), into two cases. % 20.67/5.38 |-Branch one: % 20.67/5.38 | (498) all_0_63_63 = e4 % 20.67/5.38 | % 20.67/5.38 | Equations (498) can reduce 70 to: % 20.67/5.38 | (920) ~ (all_0_62_62 = e4) % 20.67/5.38 | % 20.67/5.38 | Equations (498) can reduce 116 to: % 20.67/5.38 | (1580) ~ (all_0_67_67 = e4) % 20.67/5.38 | % 20.67/5.38 | Simplifying 1580 yields: % 20.67/5.38 | (1581) ~ (all_0_67_67 = e4) % 20.67/5.38 | % 20.67/5.38 | From (498) and (13) follows: % 20.67/5.38 | (1585) op(e4, e1) = all_0_13_13 % 20.67/5.38 | % 20.67/5.38 +-Applying beta-rule and splitting (3), into two cases. % 20.67/5.38 |-Branch one: % 20.67/5.38 | (478) all_0_69_69 = e4 % 20.67/5.38 | % 20.67/5.38 | Equations (478) can reduce 482 to: % 20.67/5.38 | (251) $false % 20.67/5.38 | % 20.67/5.38 |-The branch is then unsatisfiable % 20.67/5.38 |-Branch two: % 20.67/5.38 | (482) ~ (all_0_69_69 = e4) % 20.67/5.38 | (1477) all_0_69_69 = e2 | all_0_69_69 = e0 % 20.67/5.38 | % 20.67/5.38 +-Applying beta-rule and splitting (1477), into two cases. % 20.67/5.38 |-Branch one: % 20.67/5.38 | (344) all_0_69_69 = e2 % 20.67/5.38 | % 20.67/5.38 | Equations (344) can reduce 731 to: % 20.67/5.38 | (251) $false % 20.67/5.38 | % 20.67/5.38 |-The branch is then unsatisfiable % 20.67/5.38 |-Branch two: % 20.67/5.38 | (731) ~ (all_0_69_69 = e2) % 20.67/5.38 | (1481) all_0_69_69 = e0 % 20.67/5.38 | % 20.67/5.38 | Equations (1481) can reduce 221 to: % 20.67/5.38 | (2944) ~ (all_0_70_70 = e0) % 20.67/5.38 | % 20.67/5.38 | Simplifying 2944 yields: % 20.67/5.38 | (471) ~ (all_0_70_70 = e0) % 20.67/5.38 | % 20.67/5.38 +-Applying beta-rule and splitting (10), into two cases. % 20.67/5.38 |-Branch one: % 20.67/5.38 | (1251) all_0_67_67 = e4 % 20.67/5.38 | % 20.67/5.38 | Equations (1251) can reduce 1581 to: % 20.67/5.38 | (251) $false % 20.67/5.38 | % 20.67/5.38 |-The branch is then unsatisfiable % 20.67/5.38 |-Branch two: % 20.67/5.38 | (1581) ~ (all_0_67_67 = e4) % 20.67/5.38 | (1634) all_0_67_67 = e3 | all_0_67_67 = e0 % 20.67/5.38 | % 20.67/5.38 +-Applying beta-rule and splitting (42), into two cases. % 20.67/5.38 |-Branch one: % 20.67/5.38 | (845) all_0_62_62 = e4 % 20.67/5.38 | % 20.67/5.38 | Equations (845) can reduce 920 to: % 20.67/5.38 | (251) $false % 20.67/5.38 | % 20.67/5.38 |-The branch is then unsatisfiable % 20.67/5.38 |-Branch two: % 20.67/5.38 | (920) ~ (all_0_62_62 = e4) % 20.67/5.38 | (2296) all_0_66_66 = e4 | all_0_70_70 = e4 % 20.67/5.38 | % 20.67/5.38 +-Applying beta-rule and splitting (53), into two cases. % 20.67/5.38 |-Branch one: % 20.67/5.38 | (845) all_0_62_62 = e4 % 20.67/5.38 | % 20.67/5.38 | Equations (845) can reduce 920 to: % 20.67/5.38 | (251) $false % 20.67/5.38 | % 20.67/5.38 |-The branch is then unsatisfiable % 20.67/5.38 |-Branch two: % 20.67/5.38 | (920) ~ (all_0_62_62 = e4) % 20.67/5.38 | (921) all_0_62_62 = e1 | all_0_62_62 = e0 % 20.67/5.38 | % 20.67/5.38 +-Applying beta-rule and splitting (181), into two cases. % 20.67/5.38 |-Branch one: % 20.67/5.38 | (500) all_0_70_70 = e4 % 20.67/5.38 | % 20.67/5.38 | Equations (500) can reduce 208 to: % 20.67/5.38 | (920) ~ (all_0_62_62 = e4) % 20.67/5.38 | % 20.67/5.38 | From (500) and (30) follows: % 20.67/5.38 | (1606) op(e4, e2) = all_0_26_26 % 20.67/5.38 | % 20.67/5.38 | From (500) and (95) follows: % 20.67/5.38 | (1607) op(e4, e1) = all_0_25_25 % 20.67/5.38 | % 20.67/5.38 +-Applying beta-rule and splitting (1634), into two cases. % 20.67/5.38 |-Branch one: % 20.67/5.38 | (380) all_0_67_67 = e3 % 20.67/5.38 | % 20.67/5.38 | Equations (380) can reduce 629 to: % 20.67/5.38 | (251) $false % 20.67/5.38 | % 20.67/5.38 |-The branch is then unsatisfiable % 20.67/5.38 |-Branch two: % 20.67/5.38 | (629) ~ (all_0_67_67 = e3) % 20.67/5.38 | (1458) all_0_67_67 = e0 % 20.67/5.38 | % 20.67/5.38 +-Applying beta-rule and splitting (921), into two cases. % 20.67/5.38 |-Branch one: % 20.67/5.38 | (327) all_0_62_62 = e1 % 20.67/5.38 | % 20.67/5.38 | Equations (327) can reduce 632 to: % 20.67/5.38 | (251) $false % 20.67/5.38 | % 20.67/5.38 |-The branch is then unsatisfiable % 20.67/5.38 |-Branch two: % 20.67/5.38 | (632) ~ (all_0_62_62 = e1) % 20.67/5.38 | (925) all_0_62_62 = e0 % 20.67/5.38 | % 20.67/5.38 | Equations (925) can reduce 920 to: % 20.67/5.38 | (514) ~ (e4 = e0) % 20.67/5.38 | % 20.67/5.38 | Simplifying 514 yields: % 20.67/5.38 | (17) ~ (e4 = e0) % 20.67/5.38 | % 20.67/5.38 | Instantiating formula (61) with e4, e2, all_0_16_16, e1 and discharging atoms op(e4, e2) = all_0_16_16, op(e4, e2) = e1, yields: % 20.67/5.38 | (2972) all_0_16_16 = e1 % 20.67/5.38 | % 20.67/5.38 | Instantiating formula (61) with e4, e2, all_0_26_26, all_0_16_16 and discharging atoms op(e4, e2) = all_0_16_16, op(e4, e2) = all_0_26_26, yields: % 20.67/5.38 | (1648) all_0_16_16 = all_0_26_26 % 20.67/5.38 | % 20.67/5.38 | Instantiating formula (61) with e4, e1, all_0_13_13, e3 and discharging atoms op(e4, e1) = all_0_13_13, op(e4, e1) = e3, yields: % 20.67/5.38 | (2974) all_0_13_13 = e3 % 20.67/5.38 | % 20.67/5.38 | Instantiating formula (61) with e4, e1, all_0_25_25, all_0_13_13 and discharging atoms op(e4, e1) = all_0_13_13, op(e4, e1) = all_0_25_25, yields: % 20.67/5.38 | (1652) all_0_13_13 = all_0_25_25 % 20.67/5.38 | % 20.67/5.38 | Combining equations (1652,2974) yields a new equation: % 20.67/5.38 | (2976) all_0_25_25 = e3 % 20.67/5.38 | % 20.67/5.38 | Simplifying 2976 yields: % 20.67/5.38 | (2977) all_0_25_25 = e3 % 20.67/5.38 | % 20.67/5.38 | Combining equations (2972,1648) yields a new equation: % 20.67/5.38 | (2978) all_0_26_26 = e1 % 20.67/5.38 | % 20.67/5.38 +-Applying beta-rule and splitting (174), into two cases. % 20.67/5.38 |-Branch one: % 20.67/5.38 | (2979) ~ (all_0_26_26 = e1) % 20.67/5.38 | % 20.67/5.38 | Equations (2978) can reduce 2979 to: % 20.67/5.38 | (251) $false % 20.67/5.38 | % 20.67/5.38 |-The branch is then unsatisfiable % 20.67/5.38 |-Branch two: % 20.67/5.38 | (2978) all_0_26_26 = e1 % 20.67/5.38 | (2982) all_0_25_25 = e2 | all_0_67_67 = all_0_70_70 % 20.67/5.38 | % 20.67/5.38 +-Applying beta-rule and splitting (2982), into two cases. % 20.67/5.38 |-Branch one: % 20.67/5.38 | (1655) all_0_25_25 = e2 % 20.67/5.38 | % 20.67/5.38 | Combining equations (1655,2977) yields a new equation: % 20.67/5.38 | (376) e3 = e2 % 20.67/5.38 | % 20.67/5.38 | Equations (376) can reduce 128 to: % 20.67/5.38 | (251) $false % 20.67/5.38 | % 20.67/5.38 |-The branch is then unsatisfiable % 20.67/5.38 |-Branch two: % 20.67/5.38 | (2986) ~ (all_0_25_25 = e2) % 20.67/5.38 | (2103) all_0_67_67 = all_0_70_70 % 20.67/5.38 | % 20.67/5.38 | Combining equations (2103,1458) yields a new equation: % 20.67/5.38 | (2988) all_0_70_70 = e0 % 20.67/5.38 | % 20.67/5.38 | Simplifying 2988 yields: % 20.67/5.38 | (1323) all_0_70_70 = e0 % 20.67/5.38 | % 20.67/5.38 | Combining equations (1323,500) yields a new equation: % 20.67/5.38 | (510) e4 = e0 % 20.67/5.38 | % 20.67/5.38 | Equations (510) can reduce 17 to: % 20.67/5.38 | (251) $false % 20.67/5.38 | % 20.67/5.38 |-The branch is then unsatisfiable % 20.67/5.38 |-Branch two: % 20.67/5.38 | (567) ~ (all_0_70_70 = e4) % 20.67/5.38 | (1273) all_0_70_70 = e3 | all_0_70_70 = e0 % 20.67/5.38 | % 20.67/5.38 +-Applying beta-rule and splitting (1273), into two cases. % 20.67/5.38 |-Branch one: % 20.67/5.38 | (597) all_0_70_70 = e3 % 20.67/5.38 | % 20.67/5.38 | Equations (597) can reduce 397 to: % 20.67/5.38 | (251) $false % 20.67/5.38 | % 20.67/5.38 |-The branch is then unsatisfiable % 20.67/5.38 |-Branch two: % 20.67/5.38 | (397) ~ (all_0_70_70 = e3) % 20.67/5.38 | (1323) all_0_70_70 = e0 % 20.67/5.38 | % 20.67/5.38 | Equations (1323) can reduce 471 to: % 20.67/5.38 | (251) $false % 20.67/5.38 | % 20.67/5.38 |-The branch is then unsatisfiable % 20.67/5.38 |-Branch two: % 20.67/5.38 | (571) ~ (all_0_63_63 = e4) % 20.67/5.38 | (2319) all_0_67_67 = e4 | all_0_71_71 = e4 % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (10), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (1251) all_0_67_67 = e4 % 20.67/5.39 | % 20.67/5.39 | Equations (1251) can reduce 1581 to: % 20.67/5.39 | (251) $false % 20.67/5.39 | % 20.67/5.39 |-The branch is then unsatisfiable % 20.67/5.39 |-Branch two: % 20.67/5.39 | (1581) ~ (all_0_67_67 = e4) % 20.67/5.39 | (1634) all_0_67_67 = e3 | all_0_67_67 = e0 % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (140), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (498) all_0_63_63 = e4 % 20.67/5.39 | % 20.67/5.39 | Equations (498) can reduce 571 to: % 20.67/5.39 | (251) $false % 20.67/5.39 | % 20.67/5.39 |-The branch is then unsatisfiable % 20.67/5.39 |-Branch two: % 20.67/5.39 | (571) ~ (all_0_63_63 = e4) % 20.67/5.39 | (572) all_0_63_63 = e2 | all_0_63_63 = e0 % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (572), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (573) all_0_63_63 = e2 % 20.67/5.39 | % 20.67/5.39 | Equations (573) can reduce 366 to: % 20.67/5.39 | (251) $false % 20.67/5.39 | % 20.67/5.39 |-The branch is then unsatisfiable % 20.67/5.39 |-Branch two: % 20.67/5.39 | (366) ~ (all_0_63_63 = e2) % 20.67/5.39 | (576) all_0_63_63 = e0 % 20.67/5.39 | % 20.67/5.39 | Equations (576) can reduce 116 to: % 20.67/5.39 | (1181) ~ (all_0_67_67 = e0) % 20.67/5.39 | % 20.67/5.39 | Simplifying 1181 yields: % 20.67/5.39 | (1182) ~ (all_0_67_67 = e0) % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (1634), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (380) all_0_67_67 = e3 % 20.67/5.39 | % 20.67/5.39 | Equations (380) can reduce 629 to: % 20.67/5.39 | (251) $false % 20.67/5.39 | % 20.67/5.39 |-The branch is then unsatisfiable % 20.67/5.39 |-Branch two: % 20.67/5.39 | (629) ~ (all_0_67_67 = e3) % 20.67/5.39 | (1458) all_0_67_67 = e0 % 20.67/5.39 | % 20.67/5.39 | Equations (1458) can reduce 1182 to: % 20.67/5.39 | (251) $false % 20.67/5.39 | % 20.67/5.39 |-The branch is then unsatisfiable % 20.67/5.39 |-Branch two: % 20.67/5.39 | (1246) ~ (all_0_65_65 = e4) % 20.67/5.39 | (1802) all_0_65_65 = e1 | all_0_65_65 = e0 % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (149), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (509) all_0_61_61 = e4 % 20.67/5.39 | % 20.67/5.39 | Combining equations (523,509) yields a new equation: % 20.67/5.39 | (1244) e4 = e1 % 20.67/5.39 | % 20.67/5.39 | Equations (1244) can reduce 193 to: % 20.67/5.39 | (251) $false % 20.67/5.39 | % 20.67/5.39 |-The branch is then unsatisfiable % 20.67/5.39 |-Branch two: % 20.67/5.39 | (512) ~ (all_0_61_61 = e4) % 20.67/5.39 | (1976) all_0_65_65 = e4 | all_0_69_69 = e4 % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (138), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (1243) all_0_65_65 = e4 % 20.67/5.39 | % 20.67/5.39 | Equations (1243) can reduce 1246 to: % 20.67/5.39 | (251) $false % 20.67/5.39 | % 20.67/5.39 |-The branch is then unsatisfiable % 20.67/5.39 |-Branch two: % 20.67/5.39 | (1246) ~ (all_0_65_65 = e4) % 20.67/5.39 | (1247) all_0_66_66 = e4 | all_0_67_67 = e4 % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (1976), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (1243) all_0_65_65 = e4 % 20.67/5.39 | % 20.67/5.39 | Equations (1243) can reduce 1246 to: % 20.67/5.39 | (251) $false % 20.67/5.39 | % 20.67/5.39 |-The branch is then unsatisfiable % 20.67/5.39 |-Branch two: % 20.67/5.39 | (1246) ~ (all_0_65_65 = e4) % 20.67/5.39 | (478) all_0_69_69 = e4 % 20.67/5.39 | % 20.67/5.39 | Equations (478) can reduce 221 to: % 20.67/5.39 | (1236) ~ (all_0_70_70 = e4) % 20.67/5.39 | % 20.67/5.39 | Simplifying 1236 yields: % 20.67/5.39 | (567) ~ (all_0_70_70 = e4) % 20.67/5.39 | % 20.67/5.39 | Equations (478) can reduce 238 to: % 20.67/5.39 | (130) ~ (e4 = e3) % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (1247), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (530) all_0_66_66 = e4 % 20.67/5.39 | % 20.67/5.39 | Combining equations (538,530) yields a new equation: % 20.67/5.39 | (935) e4 = e3 % 20.67/5.39 | % 20.67/5.39 | Equations (935) can reduce 130 to: % 20.67/5.39 | (251) $false % 20.67/5.39 | % 20.67/5.39 |-The branch is then unsatisfiable % 20.67/5.39 |-Branch two: % 20.67/5.39 | (534) ~ (all_0_66_66 = e4) % 20.67/5.39 | (1251) all_0_67_67 = e4 % 20.67/5.39 | % 20.67/5.39 | Equations (1251) can reduce 164 to: % 20.67/5.39 | (1246) ~ (all_0_65_65 = e4) % 20.67/5.39 | % 20.67/5.39 | Equations (1251) can reduce 629 to: % 20.67/5.39 | (130) ~ (e4 = e3) % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (181), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (500) all_0_70_70 = e4 % 20.67/5.39 | % 20.67/5.39 | Equations (500) can reduce 567 to: % 20.67/5.39 | (251) $false % 20.67/5.39 | % 20.67/5.39 |-The branch is then unsatisfiable % 20.67/5.39 |-Branch two: % 20.67/5.39 | (567) ~ (all_0_70_70 = e4) % 20.67/5.39 | (1273) all_0_70_70 = e3 | all_0_70_70 = e0 % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (12), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (1519) ~ (all_0_56_56 = e0) % 20.67/5.39 | % 20.67/5.39 | Equations (261) can reduce 1519 to: % 20.67/5.39 | (251) $false % 20.67/5.39 | % 20.67/5.39 |-The branch is then unsatisfiable % 20.67/5.39 |-Branch two: % 20.67/5.39 | (261) all_0_56_56 = e0 % 20.67/5.39 | (3052) all_0_61_61 = e4 | all_0_66_66 = e4 | all_0_71_71 = e4 | (all_0_62_62 = e4 & ~ (all_0_60_60 = e2)) | (all_0_63_63 = e4 & ~ (all_0_60_60 = e1)) | (all_0_65_65 = e4 & ~ (all_0_64_64 = e3)) | (all_0_67_67 = e4 & ~ (all_0_64_64 = e1)) | (all_0_69_69 = e4 & ~ (all_0_68_68 = e3)) | (all_0_70_70 = e4 & ~ (all_0_68_68 = e2)) % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (42), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (845) all_0_62_62 = e4 % 20.67/5.39 | % 20.67/5.39 | Equations (845) can reduce 208 to: % 20.67/5.39 | (1236) ~ (all_0_70_70 = e4) % 20.67/5.39 | % 20.67/5.39 | Simplifying 1236 yields: % 20.67/5.39 | (567) ~ (all_0_70_70 = e4) % 20.67/5.39 | % 20.67/5.39 | Equations (845) can reduce 41 to: % 20.67/5.39 | (130) ~ (e4 = e3) % 20.67/5.39 | % 20.67/5.39 | Equations (845) can reduce 217 to: % 20.67/5.39 | (49) ~ (e4 = e2) % 20.67/5.39 | % 20.67/5.39 | Equations (845) can reduce 632 to: % 20.67/5.39 | (193) ~ (e4 = e1) % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (213), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (1119) all_0_60_60 = e0 % 20.67/5.39 | % 20.67/5.39 | Combining equations (1119,278) yields a new equation: % 20.67/5.39 | (355) e2 = e0 % 20.67/5.39 | % 20.67/5.39 | Equations (355) can reduce 48 to: % 20.67/5.39 | (251) $false % 20.67/5.39 | % 20.67/5.39 |-The branch is then unsatisfiable % 20.67/5.39 |-Branch two: % 20.67/5.39 | (267) ~ (all_0_60_60 = e0) % 20.67/5.39 | (2002) all_0_61_61 = e0 | all_0_62_62 = e0 | all_0_63_63 = e0 % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (2002), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (467) all_0_61_61 = e0 % 20.67/5.39 | % 20.67/5.39 | Combining equations (467,523) yields a new equation: % 20.67/5.39 | (288) e1 = e0 % 20.67/5.39 | % 20.67/5.39 | Equations (288) can reduce 204 to: % 20.67/5.39 | (251) $false % 20.67/5.39 | % 20.67/5.39 |-The branch is then unsatisfiable % 20.67/5.39 |-Branch two: % 20.67/5.39 | (2164) ~ (all_0_61_61 = e0) % 20.67/5.39 | (2268) all_0_62_62 = e0 | all_0_63_63 = e0 % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (2268), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (925) all_0_62_62 = e0 % 20.67/5.39 | % 20.67/5.39 | Combining equations (845,925) yields a new equation: % 20.67/5.39 | (531) e4 = e0 % 20.67/5.39 | % 20.67/5.39 | Simplifying 531 yields: % 20.67/5.39 | (510) e4 = e0 % 20.67/5.39 | % 20.67/5.39 | Equations (510) can reduce 17 to: % 20.67/5.39 | (251) $false % 20.67/5.39 | % 20.67/5.39 |-The branch is then unsatisfiable % 20.67/5.39 |-Branch two: % 20.67/5.39 | (838) ~ (all_0_62_62 = e0) % 20.67/5.39 | (576) all_0_63_63 = e0 % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (1273), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (597) all_0_70_70 = e3 % 20.67/5.39 | % 20.67/5.39 | Equations (597) can reduce 397 to: % 20.67/5.39 | (251) $false % 20.67/5.39 | % 20.67/5.39 |-The branch is then unsatisfiable % 20.67/5.39 |-Branch two: % 20.67/5.39 | (397) ~ (all_0_70_70 = e3) % 20.67/5.39 | (1323) all_0_70_70 = e0 % 20.67/5.39 | % 20.67/5.39 | Equations (1323) can reduce 567 to: % 20.67/5.39 | (514) ~ (e4 = e0) % 20.67/5.39 | % 20.67/5.39 | Simplifying 514 yields: % 20.67/5.39 | (17) ~ (e4 = e0) % 20.67/5.39 | % 20.67/5.39 | Equations (1323) can reduce 397 to: % 20.67/5.39 | (272) ~ (e3 = e0) % 20.67/5.39 | % 20.67/5.39 | Simplifying 272 yields: % 20.67/5.39 | (36) ~ (e3 = e0) % 20.67/5.39 | % 20.67/5.39 | Equations (1323) can reduce 93 to: % 20.67/5.39 | (276) ~ (e1 = e0) % 20.67/5.39 | % 20.67/5.39 | Simplifying 276 yields: % 20.67/5.39 | (204) ~ (e1 = e0) % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (111), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (643) all_0_64_64 = e0 % 20.67/5.39 | % 20.67/5.39 | Combining equations (306,643) yields a new equation: % 20.67/5.39 | (287) e1 = e0 % 20.67/5.39 | % 20.67/5.39 | Simplifying 287 yields: % 20.67/5.39 | (288) e1 = e0 % 20.67/5.39 | % 20.67/5.39 | Equations (288) can reduce 204 to: % 20.67/5.39 | (251) $false % 20.67/5.39 | % 20.67/5.39 |-The branch is then unsatisfiable % 20.67/5.39 |-Branch two: % 20.67/5.39 | (269) ~ (all_0_64_64 = e0) % 20.67/5.39 | (1447) all_0_65_65 = e0 | all_0_66_66 = e0 | all_0_67_67 = e0 % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (3052), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (509) all_0_61_61 = e4 % 20.67/5.39 | % 20.67/5.39 | Combining equations (523,509) yields a new equation: % 20.67/5.39 | (1244) e4 = e1 % 20.67/5.39 | % 20.67/5.39 | Equations (1244) can reduce 193 to: % 20.67/5.39 | (251) $false % 20.67/5.39 | % 20.67/5.39 |-The branch is then unsatisfiable % 20.67/5.39 |-Branch two: % 20.67/5.39 | (512) ~ (all_0_61_61 = e4) % 20.67/5.39 | (3095) all_0_66_66 = e4 | all_0_71_71 = e4 | (all_0_62_62 = e4 & ~ (all_0_60_60 = e2)) | (all_0_63_63 = e4 & ~ (all_0_60_60 = e1)) | (all_0_65_65 = e4 & ~ (all_0_64_64 = e3)) | (all_0_67_67 = e4 & ~ (all_0_64_64 = e1)) | (all_0_69_69 = e4 & ~ (all_0_68_68 = e3)) | (all_0_70_70 = e4 & ~ (all_0_68_68 = e2)) % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (1447), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (1448) all_0_65_65 = e0 % 20.67/5.39 | % 20.67/5.39 | Equations (1448) can reduce 1246 to: % 20.67/5.39 | (514) ~ (e4 = e0) % 20.67/5.39 | % 20.67/5.39 | Simplifying 514 yields: % 20.67/5.39 | (17) ~ (e4 = e0) % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (3095), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (530) all_0_66_66 = e4 % 20.67/5.39 | % 20.67/5.39 | Combining equations (530,538) yields a new equation: % 20.67/5.39 | (1463) e4 = e3 % 20.67/5.39 | % 20.67/5.39 | Simplifying 1463 yields: % 20.67/5.39 | (935) e4 = e3 % 20.67/5.39 | % 20.67/5.39 | Equations (935) can reduce 130 to: % 20.67/5.39 | (251) $false % 20.67/5.39 | % 20.67/5.39 |-The branch is then unsatisfiable % 20.67/5.39 |-Branch two: % 20.67/5.39 | (534) ~ (all_0_66_66 = e4) % 20.67/5.39 | (3104) all_0_71_71 = e4 | (all_0_62_62 = e4 & ~ (all_0_60_60 = e2)) | (all_0_63_63 = e4 & ~ (all_0_60_60 = e1)) | (all_0_65_65 = e4 & ~ (all_0_64_64 = e3)) | (all_0_67_67 = e4 & ~ (all_0_64_64 = e1)) | (all_0_69_69 = e4 & ~ (all_0_68_68 = e3)) | (all_0_70_70 = e4 & ~ (all_0_68_68 = e2)) % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (3104), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (552) all_0_71_71 = e4 % 20.67/5.39 | % 20.67/5.39 | Combining equations (552,563) yields a new equation: % 20.67/5.39 | (479) e4 = e2 % 20.67/5.39 | % 20.67/5.39 | Simplifying 479 yields: % 20.67/5.39 | (480) e4 = e2 % 20.67/5.39 | % 20.67/5.39 | Equations (480) can reduce 49 to: % 20.67/5.39 | (251) $false % 20.67/5.39 | % 20.67/5.39 |-The branch is then unsatisfiable % 20.67/5.39 |-Branch two: % 20.67/5.39 | (556) ~ (all_0_71_71 = e4) % 20.67/5.39 | (3110) (all_0_62_62 = e4 & ~ (all_0_60_60 = e2)) | (all_0_63_63 = e4 & ~ (all_0_60_60 = e1)) | (all_0_65_65 = e4 & ~ (all_0_64_64 = e3)) | (all_0_67_67 = e4 & ~ (all_0_64_64 = e1)) | (all_0_69_69 = e4 & ~ (all_0_68_68 = e3)) | (all_0_70_70 = e4 & ~ (all_0_68_68 = e2)) % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (3110), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (3111) (all_0_62_62 = e4 & ~ (all_0_60_60 = e2)) | (all_0_63_63 = e4 & ~ (all_0_60_60 = e1)) | (all_0_65_65 = e4 & ~ (all_0_64_64 = e3)) | (all_0_67_67 = e4 & ~ (all_0_64_64 = e1)) | (all_0_69_69 = e4 & ~ (all_0_68_68 = e3)) % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (3111), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (3112) (all_0_62_62 = e4 & ~ (all_0_60_60 = e2)) | (all_0_63_63 = e4 & ~ (all_0_60_60 = e1)) | (all_0_65_65 = e4 & ~ (all_0_64_64 = e3)) | (all_0_67_67 = e4 & ~ (all_0_64_64 = e1)) % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (3112), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (3113) (all_0_62_62 = e4 & ~ (all_0_60_60 = e2)) | (all_0_63_63 = e4 & ~ (all_0_60_60 = e1)) | (all_0_65_65 = e4 & ~ (all_0_64_64 = e3)) % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (3113), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (3114) (all_0_62_62 = e4 & ~ (all_0_60_60 = e2)) | (all_0_63_63 = e4 & ~ (all_0_60_60 = e1)) % 20.67/5.39 | % 20.67/5.39 +-Applying beta-rule and splitting (3114), into two cases. % 20.67/5.39 |-Branch one: % 20.67/5.39 | (3115) all_0_62_62 = e4 & ~ (all_0_60_60 = e2) % 20.67/5.39 | % 20.67/5.39 | Applying alpha-rule on (3115) yields: % 20.67/5.39 | (845) all_0_62_62 = e4 % 20.67/5.39 | (666) ~ (all_0_60_60 = e2) % 20.67/5.39 | % 20.67/5.39 | Equations (278) can reduce 666 to: % 20.67/5.39 | (251) $false % 20.67/5.39 | % 20.67/5.39 |-The branch is then unsatisfiable % 20.67/5.39 |-Branch two: % 20.67/5.39 | (3119) all_0_63_63 = e4 & ~ (all_0_60_60 = e1) % 20.67/5.39 | % 20.67/5.40 | Applying alpha-rule on (3119) yields: % 20.67/5.40 | (498) all_0_63_63 = e4 % 20.67/5.40 | (651) ~ (all_0_60_60 = e1) % 20.67/5.40 | % 20.67/5.40 | Combining equations (576,498) yields a new equation: % 20.67/5.40 | (510) e4 = e0 % 20.67/5.40 | % 20.67/5.40 | Equations (510) can reduce 17 to: % 20.67/5.40 | (251) $false % 20.67/5.40 | % 20.67/5.40 |-The branch is then unsatisfiable % 20.67/5.40 |-Branch two: % 20.67/5.40 | (3124) all_0_65_65 = e4 & ~ (all_0_64_64 = e3) % 20.67/5.40 | % 20.67/5.40 | Applying alpha-rule on (3124) yields: % 20.67/5.40 | (1243) all_0_65_65 = e4 % 20.67/5.40 | (293) ~ (all_0_64_64 = e3) % 20.67/5.40 | % 20.67/5.40 | Combining equations (1448,1243) yields a new equation: % 20.67/5.40 | (510) e4 = e0 % 20.67/5.40 | % 20.67/5.40 | Equations (510) can reduce 17 to: % 20.67/5.40 | (251) $false % 20.67/5.40 | % 20.67/5.40 |-The branch is then unsatisfiable % 20.67/5.40 |-Branch two: % 20.67/5.40 | (3129) all_0_67_67 = e4 & ~ (all_0_64_64 = e1) % 20.67/5.40 | % 20.67/5.40 | Applying alpha-rule on (3129) yields: % 20.67/5.40 | (1251) all_0_67_67 = e4 % 20.67/5.40 | (642) ~ (all_0_64_64 = e1) % 20.67/5.40 | % 20.67/5.40 | Equations (306) can reduce 642 to: % 20.67/5.40 | (251) $false % 20.67/5.40 | % 20.67/5.40 |-The branch is then unsatisfiable % 20.67/5.40 |-Branch two: % 20.67/5.40 | (3133) all_0_69_69 = e4 & ~ (all_0_68_68 = e3) % 20.67/5.40 | % 20.67/5.40 | Applying alpha-rule on (3133) yields: % 20.67/5.40 | (478) all_0_69_69 = e4 % 20.67/5.40 | (645) ~ (all_0_68_68 = e3) % 20.67/5.40 | % 20.67/5.40 | Equations (292) can reduce 645 to: % 20.67/5.40 | (251) $false % 20.67/5.40 | % 20.67/5.40 |-The branch is then unsatisfiable % 20.67/5.40 |-Branch two: % 20.67/5.40 | (3137) all_0_70_70 = e4 & ~ (all_0_68_68 = e2) % 20.67/5.40 | % 20.67/5.40 | Applying alpha-rule on (3137) yields: % 20.67/5.40 | (500) all_0_70_70 = e4 % 20.67/5.40 | (987) ~ (all_0_68_68 = e2) % 20.67/5.40 | % 20.67/5.40 | Combining equations (1323,500) yields a new equation: % 20.67/5.40 | (510) e4 = e0 % 20.67/5.40 | % 20.67/5.40 | Equations (510) can reduce 17 to: % 20.67/5.40 | (251) $false % 20.67/5.40 | % 20.67/5.40 |-The branch is then unsatisfiable % 20.67/5.40 |-Branch two: % 20.67/5.40 | (1154) ~ (all_0_65_65 = e0) % 20.67/5.40 | (1453) all_0_66_66 = e0 | all_0_67_67 = e0 % 20.67/5.40 | % 20.67/5.40 +-Applying beta-rule and splitting (1453), into two cases. % 20.67/5.40 |-Branch one: % 20.67/5.40 | (468) all_0_66_66 = e0 % 20.67/5.40 | % 20.67/5.40 | Combining equations (538,468) yields a new equation: % 20.67/5.40 | (390) e3 = e0 % 20.67/5.40 | % 20.67/5.40 | Simplifying 390 yields: % 20.67/5.40 | (391) e3 = e0 % 20.67/5.40 | % 20.67/5.40 | Equations (391) can reduce 36 to: % 20.67/5.40 | (251) $false % 20.67/5.40 | % 20.67/5.40 |-The branch is then unsatisfiable % 20.67/5.40 |-Branch two: % 20.67/5.40 | (1457) ~ (all_0_66_66 = e0) % 20.67/5.40 | (1458) all_0_67_67 = e0 % 20.67/5.40 | % 20.67/5.40 | Combining equations (1251,1458) yields a new equation: % 20.67/5.40 | (531) e4 = e0 % 20.67/5.40 | % 20.67/5.40 | Simplifying 531 yields: % 20.67/5.40 | (510) e4 = e0 % 20.67/5.40 | % 20.67/5.40 | Equations (510) can reduce 17 to: % 20.67/5.40 | (251) $false % 20.67/5.40 | % 20.67/5.40 |-The branch is then unsatisfiable % 20.67/5.40 |-Branch two: % 20.67/5.40 | (920) ~ (all_0_62_62 = e4) % 20.67/5.40 | (2296) all_0_66_66 = e4 | all_0_70_70 = e4 % 20.67/5.40 | % 20.67/5.40 +-Applying beta-rule and splitting (2296), into two cases. % 20.67/5.40 |-Branch one: % 20.67/5.40 | (530) all_0_66_66 = e4 % 20.67/5.40 | % 20.67/5.40 | Combining equations (538,530) yields a new equation: % 20.67/5.40 | (935) e4 = e3 % 20.67/5.40 | % 20.67/5.40 | Equations (935) can reduce 130 to: % 20.67/5.40 | (251) $false % 20.67/5.40 | % 20.67/5.40 |-The branch is then unsatisfiable % 20.67/5.40 |-Branch two: % 20.67/5.40 | (534) ~ (all_0_66_66 = e4) % 20.67/5.40 | (500) all_0_70_70 = e4 % 20.67/5.40 | % 20.67/5.40 | Equations (500) can reduce 567 to: % 20.67/5.40 | (251) $false % 20.67/5.40 | % 20.67/5.40 |-The branch is then unsatisfiable % 20.67/5.40 |-Branch two: % 20.67/5.40 | (666) ~ (all_0_60_60 = e2) % 20.67/5.40 | (667) all_0_60_60 = e1 | all_0_60_60 = e0 % 20.67/5.40 | % 20.67/5.40 +-Applying beta-rule and splitting (153), into two cases. % 20.67/5.40 |-Branch one: % 20.67/5.40 | (254) all_0_56_56 = e2 % 20.67/5.40 | % 20.67/5.40 | Combining equations (254,261) yields a new equation: % 20.67/5.40 | (354) e2 = e0 % 20.67/5.40 | % 20.67/5.40 | Simplifying 354 yields: % 20.67/5.40 | (355) e2 = e0 % 20.67/5.40 | % 20.67/5.40 | Equations (355) can reduce 48 to: % 20.67/5.40 | (251) $false % 20.67/5.40 | % 20.67/5.40 |-The branch is then unsatisfiable % 20.67/5.40 |-Branch two: % 20.67/5.40 | (247) ~ (all_0_56_56 = e2) % 20.67/5.40 | (709) all_0_60_60 = e2 | all_0_68_68 = e2 % 20.67/5.40 | % 20.67/5.40 +-Applying beta-rule and splitting (228), into two cases. % 20.67/5.40 |-Branch one: % 20.67/5.40 | (278) all_0_60_60 = e2 % 20.67/5.40 | % 20.67/5.40 | Equations (278) can reduce 666 to: % 20.67/5.40 | (251) $false % 20.67/5.40 | % 20.67/5.40 |-The branch is then unsatisfiable % 20.67/5.40 |-Branch two: % 20.67/5.40 | (666) ~ (all_0_60_60 = e2) % 20.67/5.40 | (685) all_0_61_61 = e2 | all_0_63_63 = e2 % 20.67/5.40 | % 20.67/5.40 +-Applying beta-rule and splitting (709), into two cases. % 20.67/5.40 |-Branch one: % 20.67/5.40 | (278) all_0_60_60 = e2 % 20.67/5.40 | % 20.67/5.40 | Equations (278) can reduce 666 to: % 20.67/5.40 | (251) $false % 20.67/5.40 | % 20.67/5.40 |-The branch is then unsatisfiable % 20.67/5.40 |-Branch two: % 20.67/5.40 | (666) ~ (all_0_60_60 = e2) % 20.67/5.40 | (729) all_0_68_68 = e2 % 20.67/5.40 | % 20.67/5.40 | Combining equations (292,729) yields a new equation: % 20.67/5.40 | (1620) e3 = e2 % 20.67/5.40 | % 20.67/5.40 | Simplifying 1620 yields: % 20.67/5.40 | (376) e3 = e2 % 20.67/5.40 | % 20.67/5.40 | Equations (376) can reduce 128 to: % 20.67/5.40 | (251) $false % 20.67/5.40 | % 20.67/5.40 |-The branch is then unsatisfiable % 20.67/5.40 |-Branch two: % 20.67/5.40 | (339) ~ (all_0_57_57 = e2) % 20.67/5.40 | (991) all_0_57_57 = e1 | all_0_57_57 = e0 % 20.67/5.40 | % 20.67/5.40 +-Applying beta-rule and splitting (60), into two cases. % 20.67/5.40 |-Branch one: % 20.67/5.40 | (335) all_0_57_57 = e2 % 20.67/5.40 | % 20.67/5.40 | Equations (335) can reduce 339 to: % 20.67/5.40 | (251) $false % 20.67/5.40 | % 20.67/5.40 |-The branch is then unsatisfiable % 20.67/5.40 |-Branch two: % 20.67/5.40 | (339) ~ (all_0_57_57 = e2) % 20.67/5.40 | (340) all_0_61_61 = e2 | all_0_69_69 = e2 % 20.67/5.40 | % 20.67/5.40 +-Applying beta-rule and splitting (340), into two cases. % 20.67/5.40 |-Branch one: % 20.67/5.40 | (341) all_0_61_61 = e2 % 20.67/5.40 | % 20.67/5.40 | Combining equations (523,341) yields a new equation: % 20.67/5.40 | (337) e2 = e1 % 20.67/5.40 | % 20.67/5.40 | Equations (337) can reduce 184 to: % 20.67/5.40 | (251) $false % 20.67/5.40 | % 20.67/5.40 |-The branch is then unsatisfiable % 20.67/5.40 |-Branch two: % 20.67/5.40 | (244) ~ (all_0_61_61 = e2) % 20.67/5.40 | (344) all_0_69_69 = e2 % 20.67/5.40 | % 20.67/5.40 +-Applying beta-rule and splitting (2), into two cases. % 20.67/5.40 |-Branch one: % 20.67/5.40 | (1840) all_0_57_57 = e0 % 20.67/5.40 | % 20.67/5.40 | Equations (1840) can reduce 1147 to: % 20.67/5.40 | (251) $false % 20.67/5.40 | % 20.67/5.40 |-The branch is then unsatisfiable % 20.67/5.40 |-Branch two: % 20.67/5.40 | (1147) ~ (all_0_57_57 = e0) % 20.67/5.40 | (2532) all_0_61_61 = e0 | all_0_65_65 = e0 | all_0_69_69 = e0 % 20.67/5.40 | % 20.67/5.40 +-Applying beta-rule and splitting (2532), into two cases. % 20.67/5.40 |-Branch one: % 20.67/5.40 | (467) all_0_61_61 = e0 % 20.67/5.40 | % 20.67/5.40 | Combining equations (523,467) yields a new equation: % 20.67/5.40 | (287) e1 = e0 % 20.67/5.40 | % 20.67/5.40 | Simplifying 287 yields: % 20.67/5.40 | (288) e1 = e0 % 20.67/5.40 | % 20.67/5.40 | Equations (288) can reduce 204 to: % 20.67/5.40 | (251) $false % 20.67/5.40 | % 20.67/5.40 |-The branch is then unsatisfiable % 20.67/5.40 |-Branch two: % 20.67/5.40 | (2164) ~ (all_0_61_61 = e0) % 20.67/5.40 | (2540) all_0_65_65 = e0 | all_0_69_69 = e0 % 20.67/5.40 | % 20.67/5.40 +-Applying beta-rule and splitting (2540), into two cases. % 20.67/5.40 |-Branch one: % 20.67/5.40 | (1448) all_0_65_65 = e0 % 20.67/5.40 | % 20.67/5.40 +-Applying beta-rule and splitting (149), into two cases. % 20.67/5.40 |-Branch one: % 20.67/5.40 | (509) all_0_61_61 = e4 % 20.67/5.40 | % 20.67/5.40 | Combining equations (523,509) yields a new equation: % 20.67/5.40 | (1244) e4 = e1 % 20.67/5.40 | % 20.67/5.40 | Equations (1244) can reduce 193 to: % 20.67/5.40 | (251) $false % 20.67/5.40 | % 20.67/5.40 |-The branch is then unsatisfiable % 20.67/5.40 |-Branch two: % 20.67/5.40 | (512) ~ (all_0_61_61 = e4) % 20.67/5.40 | (1976) all_0_65_65 = e4 | all_0_69_69 = e4 % 20.67/5.40 | % 20.67/5.40 +-Applying beta-rule and splitting (1976), into two cases. % 20.67/5.40 |-Branch one: % 20.67/5.40 | (1243) all_0_65_65 = e4 % 20.67/5.40 | % 20.67/5.40 | Combining equations (1448,1243) yields a new equation: % 20.67/5.40 | (510) e4 = e0 % 20.67/5.40 | % 20.67/5.40 | Equations (510) can reduce 17 to: % 20.67/5.40 | (251) $false % 20.67/5.40 | % 20.67/5.40 |-The branch is then unsatisfiable % 20.67/5.40 |-Branch two: % 20.67/5.40 | (1246) ~ (all_0_65_65 = e4) % 20.67/5.40 | (478) all_0_69_69 = e4 % 20.67/5.40 | % 20.67/5.40 | Combining equations (478,344) yields a new equation: % 20.67/5.40 | (479) e4 = e2 % 20.67/5.40 | % 20.67/5.40 | Simplifying 479 yields: % 20.67/5.40 | (480) e4 = e2 % 20.67/5.40 | % 20.67/5.40 | Equations (480) can reduce 49 to: % 20.67/5.40 | (251) $false % 20.67/5.40 | % 20.67/5.40 |-The branch is then unsatisfiable % 20.67/5.40 |-Branch two: % 20.67/5.40 | (1154) ~ (all_0_65_65 = e0) % 20.67/5.40 | (1481) all_0_69_69 = e0 % 20.67/5.40 | % 20.67/5.40 | Combining equations (344,1481) yields a new equation: % 20.67/5.40 | (354) e2 = e0 % 20.67/5.40 | % 20.67/5.40 | Simplifying 354 yields: % 20.67/5.40 | (355) e2 = e0 % 20.67/5.40 | % 20.67/5.40 | Equations (355) can reduce 48 to: % 20.67/5.40 | (251) $false % 20.67/5.40 | % 20.67/5.40 |-The branch is then unsatisfiable % 20.67/5.40 |-Branch two: % 20.67/5.40 | (542) ~ (all_0_66_66 = e3) % 20.67/5.40 | (597) all_0_70_70 = e3 % 20.67/5.40 | % 20.67/5.40 | Equations (597) can reduce 397 to: % 20.67/5.40 | (251) $false % 20.67/5.40 | % 20.67/5.40 |-The branch is then unsatisfiable % 20.67/5.40 |-Branch two: % 20.67/5.40 | (378) ~ (all_0_59_59 = e3) % 20.67/5.40 | (379) all_0_67_67 = e3 | all_0_71_71 = e3 % 20.67/5.40 | % 20.67/5.40 +-Applying beta-rule and splitting (379), into two cases. % 20.67/5.40 |-Branch one: % 20.67/5.40 | (380) all_0_67_67 = e3 % 20.67/5.40 | % 20.67/5.40 | Equations (380) can reduce 164 to: % 20.67/5.40 | (75) ~ (all_0_65_65 = e3) % 20.67/5.40 | % 20.67/5.40 | Equations (380) can reduce 85 to: % 20.67/5.40 | (542) ~ (all_0_66_66 = e3) % 20.67/5.40 | % 20.67/5.40 | Equations (380) can reduce 19 to: % 20.67/5.40 | (15) ~ (e3 = e1) % 20.67/5.40 | % 20.67/5.40 | From (380) and (185) follows: % 20.67/5.40 | (387) op(e2, e1) = e3 % 20.67/5.40 | % 20.67/5.40 +-Applying beta-rule and splitting (54), into two cases. % 20.67/5.40 |-Branch one: % 20.67/5.40 | (395) all_0_58_58 = e3 % 20.67/5.40 | % 20.67/5.40 | Combining equations (323,395) yields a new equation: % 20.67/5.40 | (661) e3 = e1 % 20.67/5.41 | % 20.67/5.41 | Equations (661) can reduce 15 to: % 20.67/5.41 | (251) $false % 20.67/5.41 | % 20.67/5.41 |-The branch is then unsatisfiable % 20.67/5.41 |-Branch two: % 20.67/5.41 | (621) ~ (all_0_58_58 = e3) % 20.67/5.41 | (758) all_0_66_66 = e3 | all_0_70_70 = e3 % 20.67/5.41 | % 20.67/5.41 +-Applying beta-rule and splitting (758), into two cases. % 20.67/5.41 |-Branch one: % 20.67/5.41 | (538) all_0_66_66 = e3 % 20.67/5.41 | % 20.67/5.41 | Equations (538) can reduce 542 to: % 20.67/5.41 | (251) $false % 20.67/5.41 | % 20.67/5.41 |-The branch is then unsatisfiable % 20.67/5.41 |-Branch two: % 20.67/5.41 | (542) ~ (all_0_66_66 = e3) % 20.67/5.41 | (597) all_0_70_70 = e3 % 20.67/5.41 | % 20.67/5.41 | Equations (597) can reduce 208 to: % 20.67/5.41 | (41) ~ (all_0_62_62 = e3) % 20.67/5.41 | % 20.67/5.41 | Equations (597) can reduce 82 to: % 20.67/5.41 | (542) ~ (all_0_66_66 = e3) % 20.67/5.41 | % 20.67/5.41 | Equations (597) can reduce 205 to: % 20.67/5.41 | (645) ~ (all_0_68_68 = e3) % 20.67/5.41 | % 20.67/5.41 | Equations (597) can reduce 221 to: % 20.67/5.41 | (238) ~ (all_0_69_69 = e3) % 20.67/5.41 | % 20.67/5.41 | Equations (597) can reduce 94 to: % 20.67/5.41 | (296) ~ (all_0_71_71 = e3) % 20.67/5.41 | % 20.67/5.41 | Simplifying 296 yields: % 20.67/5.41 | (297) ~ (all_0_71_71 = e3) % 20.67/5.41 | % 20.67/5.41 | Equations (597) can reduce 93 to: % 20.67/5.41 | (15) ~ (e3 = e1) % 20.67/5.41 | % 20.67/5.41 +-Applying beta-rule and splitting (209), into two cases. % 20.67/5.41 |-Branch one: % 20.67/5.41 | (250) all_0_56_56 = e3 % 20.67/5.41 | % 20.67/5.41 | Equations (250) can reduce 50 to: % 20.67/5.41 | (1123) ~ (all_0_57_57 = e3) % 20.67/5.41 | % 20.67/5.41 | Simplifying 1123 yields: % 20.67/5.41 | (124) ~ (all_0_57_57 = e3) % 20.67/5.41 | % 20.67/5.41 | Equations (250) can reduce 154 to: % 20.67/5.41 | (1127) ~ (all_0_59_59 = e3) % 20.67/5.41 | % 20.67/5.41 | Simplifying 1127 yields: % 20.67/5.41 | (378) ~ (all_0_59_59 = e3) % 20.67/5.41 | % 20.67/5.41 | Equations (250) can reduce 51 to: % 20.67/5.41 | (693) ~ (all_0_68_68 = e3) % 20.67/5.41 | % 20.67/5.41 | Simplifying 693 yields: % 20.67/5.41 | (645) ~ (all_0_68_68 = e3) % 20.67/5.41 | % 20.67/5.41 | Equations (250) can reduce 247 to: % 20.67/5.41 | (128) ~ (e3 = e2) % 20.67/5.41 | % 20.67/5.41 +-Applying beta-rule and splitting (227), into two cases. % 20.67/5.41 |-Branch one: % 20.67/5.41 | (1243) all_0_65_65 = e4 % 20.67/5.41 | % 20.67/5.41 | Equations (1243) can reduce 66 to: % 20.67/5.41 | (1234) ~ (all_0_66_66 = e4) % 20.67/5.41 | % 20.67/5.41 | Simplifying 1234 yields: % 20.67/5.41 | (534) ~ (all_0_66_66 = e4) % 20.67/5.41 | % 20.67/5.41 | Equations (1243) can reduce 73 to: % 20.67/5.41 | (2924) ~ (all_0_69_69 = e4) % 20.67/5.41 | % 20.67/5.41 | Simplifying 2924 yields: % 20.67/5.41 | (482) ~ (all_0_69_69 = e4) % 20.67/5.41 | % 20.67/5.41 | Equations (1243) can reduce 75 to: % 20.67/5.41 | (130) ~ (e4 = e3) % 20.67/5.41 | % 20.67/5.41 | From (1243) and (231) follows: % 20.67/5.41 | (1578) op(e2, e4) = all_0_39_39 % 20.67/5.41 | % 20.67/5.41 +-Applying beta-rule and splitting (157), into two cases. % 20.67/5.41 |-Branch one: % 20.67/5.41 | (478) all_0_69_69 = e4 % 20.67/5.41 | % 20.67/5.41 | Equations (478) can reduce 482 to: % 20.67/5.41 | (251) $false % 20.67/5.41 | % 20.67/5.41 |-The branch is then unsatisfiable % 20.67/5.41 |-Branch two: % 20.67/5.41 | (482) ~ (all_0_69_69 = e4) % 20.67/5.41 | (483) all_0_70_70 = e4 | all_0_71_71 = e4 % 20.67/5.41 | % 20.67/5.41 +-Applying beta-rule and splitting (111), into two cases. % 20.67/5.41 |-Branch one: % 20.67/5.41 | (643) all_0_64_64 = e0 % 20.67/5.41 | % 20.67/5.41 | Combining equations (306,643) yields a new equation: % 20.67/5.41 | (287) e1 = e0 % 20.67/5.41 | % 20.67/5.41 | Simplifying 287 yields: % 20.67/5.41 | (288) e1 = e0 % 20.67/5.41 | % 20.67/5.41 | Equations (288) can reduce 204 to: % 20.67/5.41 | (251) $false % 20.67/5.41 | % 20.67/5.41 |-The branch is then unsatisfiable % 20.67/5.41 |-Branch two: % 20.67/5.41 | (269) ~ (all_0_64_64 = e0) % 20.67/5.41 | (1447) all_0_65_65 = e0 | all_0_66_66 = e0 | all_0_67_67 = e0 % 20.67/5.41 | % 20.67/5.41 +-Applying beta-rule and splitting (42), into two cases. % 20.67/5.41 |-Branch one: % 20.67/5.41 | (845) all_0_62_62 = e4 % 20.67/5.41 | % 20.67/5.41 | Equations (845) can reduce 41 to: % 20.67/5.41 | (130) ~ (e4 = e3) % 20.67/5.41 | % 20.67/5.41 | From (845) and (11) follows: % 20.67/5.41 | (1242) op(e2, e4) = all_0_44_44 % 20.67/5.41 | % 20.67/5.41 +-Applying beta-rule and splitting (1447), into two cases. % 20.67/5.41 |-Branch one: % 20.67/5.41 | (1448) all_0_65_65 = e0 % 20.67/5.41 | % 20.67/5.41 | Combining equations (1243,1448) yields a new equation: % 20.67/5.41 | (531) e4 = e0 % 20.67/5.41 | % 20.67/5.41 | Simplifying 531 yields: % 20.67/5.41 | (510) e4 = e0 % 20.67/5.41 | % 20.67/5.41 | Equations (510) can reduce 17 to: % 20.67/5.41 | (251) $false % 20.67/5.41 | % 20.67/5.41 |-The branch is then unsatisfiable % 20.67/5.41 |-Branch two: % 20.67/5.41 | (1154) ~ (all_0_65_65 = e0) % 20.67/5.41 | (1453) all_0_66_66 = e0 | all_0_67_67 = e0 % 20.67/5.41 | % 20.67/5.41 +-Applying beta-rule and splitting (1453), into two cases. % 20.67/5.41 |-Branch one: % 20.67/5.41 | (468) all_0_66_66 = e0 % 20.67/5.41 | % 20.67/5.41 +-Applying beta-rule and splitting (483), into two cases. % 20.67/5.41 |-Branch one: % 20.67/5.41 | (500) all_0_70_70 = e4 % 20.67/5.41 | % 20.67/5.41 | Combining equations (500,597) yields a new equation: % 20.67/5.41 | (1463) e4 = e3 % 20.67/5.41 | % 20.87/5.41 | Simplifying 1463 yields: % 20.87/5.41 | (935) e4 = e3 % 20.87/5.41 | % 20.87/5.41 | Equations (935) can reduce 130 to: % 20.87/5.41 | (251) $false % 20.87/5.41 | % 20.87/5.41 |-The branch is then unsatisfiable % 20.87/5.41 |-Branch two: % 20.87/5.41 | (567) ~ (all_0_70_70 = e4) % 20.87/5.41 | (552) all_0_71_71 = e4 % 20.87/5.41 | % 20.87/5.41 | Equations (552) can reduce 226 to: % 20.87/5.41 | (571) ~ (all_0_63_63 = e4) % 20.87/5.41 | % 20.87/5.41 | Equations (552) can reduce 24 to: % 20.87/5.41 | (14) ~ (all_0_68_68 = e4) % 20.87/5.41 | % 20.87/5.41 | Equations (552) can reduce 47 to: % 20.87/5.41 | (482) ~ (all_0_69_69 = e4) % 20.87/5.41 | % 20.87/5.41 | Equations (552) can reduce 297 to: % 20.87/5.41 | (130) ~ (e4 = e3) % 20.87/5.41 | % 20.87/5.41 | Instantiating formula (61) with e2, e4, all_0_39_39, e1 and discharging atoms op(e2, e4) = all_0_39_39, op(e2, e4) = e1, yields: % 20.87/5.41 | (1679) all_0_39_39 = e1 % 20.87/5.41 | % 20.87/5.41 | Instantiating formula (61) with e2, e4, all_0_44_44, all_0_39_39 and discharging atoms op(e2, e4) = all_0_39_39, op(e2, e4) = all_0_44_44, yields: % 20.87/5.41 | (3292) all_0_39_39 = all_0_44_44 % 20.87/5.41 | % 20.87/5.41 | Combining equations (1679,3292) yields a new equation: % 20.87/5.41 | (3293) all_0_44_44 = e1 % 20.87/5.41 | % 20.87/5.41 | From (3293) and (1242) follows: % 20.87/5.41 | (1515) op(e2, e4) = e1 % 20.87/5.41 | % 20.87/5.41 +-Applying beta-rule and splitting (239), into two cases. % 20.87/5.41 |-Branch one: % 20.87/5.41 | (292) all_0_68_68 = e3 % 20.87/5.41 | % 20.87/5.41 | Equations (292) can reduce 645 to: % 20.87/5.41 | (251) $false % 20.87/5.41 | % 20.87/5.41 |-The branch is then unsatisfiable % 20.87/5.41 |-Branch two: % 20.87/5.41 | (645) ~ (all_0_68_68 = e3) % 20.87/5.41 | (646) all_0_68_68 = e2 | all_0_68_68 = e0 % 20.87/5.41 | % 20.87/5.41 +-Applying beta-rule and splitting (3), into two cases. % 20.87/5.41 |-Branch one: % 20.87/5.41 | (478) all_0_69_69 = e4 % 20.87/5.41 | % 20.87/5.41 | Equations (478) can reduce 482 to: % 20.87/5.41 | (251) $false % 20.87/5.41 | % 20.87/5.41 |-The branch is then unsatisfiable % 20.87/5.41 |-Branch two: % 20.87/5.41 | (482) ~ (all_0_69_69 = e4) % 20.87/5.41 | (1477) all_0_69_69 = e2 | all_0_69_69 = e0 % 20.87/5.41 | % 20.87/5.41 +-Applying beta-rule and splitting (58), into two cases. % 20.87/5.41 |-Branch one: % 20.87/5.41 | (375) all_0_59_59 = e3 % 20.87/5.41 | % 20.87/5.41 | Equations (375) can reduce 378 to: % 20.87/5.41 | (251) $false % 20.87/5.41 | % 20.87/5.41 |-The branch is then unsatisfiable % 20.87/5.41 |-Branch two: % 20.87/5.41 | (378) ~ (all_0_59_59 = e3) % 20.87/5.41 | (1073) all_0_59_59 = e2 | all_0_59_59 = e0 % 20.87/5.41 | % 20.87/5.41 +-Applying beta-rule and splitting (201), into two cases. % 20.87/5.41 |-Branch one: % 20.87/5.41 | (335) all_0_57_57 = e2 % 20.87/5.41 | % 20.87/5.41 | Equations (335) can reduce 18 to: % 20.87/5.41 | (730) ~ (all_0_69_69 = e2) % 20.87/5.41 | % 20.87/5.41 | Simplifying 730 yields: % 20.87/5.41 | (731) ~ (all_0_69_69 = e2) % 20.87/5.41 | % 20.87/5.41 | From (335) and (243) follows: % 20.87/5.41 | (1166) op(e2, e4) = all_0_1_1 % 20.87/5.41 | % 20.87/5.41 +-Applying beta-rule and splitting (1477), into two cases. % 20.87/5.41 |-Branch one: % 20.87/5.41 | (344) all_0_69_69 = e2 % 20.87/5.41 | % 20.87/5.41 | Equations (344) can reduce 731 to: % 20.87/5.41 | (251) $false % 20.87/5.41 | % 20.87/5.41 |-The branch is then unsatisfiable % 20.87/5.41 |-Branch two: % 20.87/5.41 | (731) ~ (all_0_69_69 = e2) % 20.87/5.41 | (1481) all_0_69_69 = e0 % 20.87/5.41 | % 20.87/5.41 | Equations (1481) can reduce 194 to: % 20.87/5.41 | (271) ~ (all_0_68_68 = e0) % 20.87/5.41 | % 20.87/5.41 +-Applying beta-rule and splitting (646), into two cases. % 20.87/5.41 |-Branch one: % 20.87/5.41 | (729) all_0_68_68 = e2 % 20.87/5.41 | % 20.87/5.41 | Equations (729) can reduce 83 to: % 20.87/5.41 | (666) ~ (all_0_60_60 = e2) % 20.87/5.41 | % 20.87/5.41 | From (729) and (240) follows: % 20.87/5.41 | (1288) op(e2, e4) = all_0_22_22 % 20.87/5.41 | % 20.87/5.41 | From (729) and (113) follows: % 20.87/5.41 | (732) op(e2, e1) = all_0_21_21 % 20.87/5.41 | % 20.87/5.41 +-Applying beta-rule and splitting (68), into two cases. % 20.87/5.41 |-Branch one: % 20.87/5.41 | (278) all_0_60_60 = e2 % 20.87/5.41 | % 20.87/5.41 | Equations (278) can reduce 666 to: % 20.87/5.41 | (251) $false % 20.87/5.41 | % 20.87/5.41 |-The branch is then unsatisfiable % 20.87/5.41 |-Branch two: % 20.87/5.41 | (666) ~ (all_0_60_60 = e2) % 20.87/5.41 | (667) all_0_60_60 = e1 | all_0_60_60 = e0 % 20.87/5.41 | % 20.87/5.41 +-Applying beta-rule and splitting (667), into two cases. % 20.87/5.41 |-Branch one: % 20.87/5.41 | (647) all_0_60_60 = e1 % 20.87/5.41 | % 20.87/5.41 | Equations (647) can reduce 651 to: % 20.87/5.41 | (251) $false % 20.87/5.41 | % 20.87/5.41 |-The branch is then unsatisfiable % 20.87/5.41 |-Branch two: % 20.87/5.41 | (651) ~ (all_0_60_60 = e1) % 20.87/5.41 | (1119) all_0_60_60 = e0 % 20.87/5.41 | % 20.87/5.41 | Equations (1119) can reduce 76 to: % 20.87/5.41 | (1151) ~ (all_0_63_63 = e0) % 20.87/5.41 | % 20.87/5.41 | Simplifying 1151 yields: % 20.87/5.41 | (470) ~ (all_0_63_63 = e0) % 20.87/5.41 | % 20.87/5.41 +-Applying beta-rule and splitting (140), into two cases. % 20.87/5.41 |-Branch one: % 20.87/5.41 | (498) all_0_63_63 = e4 % 20.87/5.41 | % 20.87/5.41 | Equations (498) can reduce 571 to: % 20.87/5.41 | (251) $false % 20.87/5.41 | % 20.87/5.41 |-The branch is then unsatisfiable % 20.87/5.41 |-Branch two: % 20.87/5.41 | (571) ~ (all_0_63_63 = e4) % 20.87/5.41 | (572) all_0_63_63 = e2 | all_0_63_63 = e0 % 20.87/5.41 | % 20.87/5.41 +-Applying beta-rule and splitting (572), into two cases. % 20.87/5.41 |-Branch one: % 20.87/5.41 | (573) all_0_63_63 = e2 % 20.87/5.41 | % 20.87/5.41 | Equations (573) can reduce 96 to: % 20.87/5.41 | (1029) ~ (all_0_59_59 = e2) % 20.87/5.41 | % 20.87/5.41 | From (573) and (13) follows: % 20.87/5.41 | (750) op(e2, e1) = all_0_13_13 % 20.87/5.41 | % 20.87/5.41 +-Applying beta-rule and splitting (1073), into two cases. % 20.87/5.41 |-Branch one: % 20.87/5.41 | (364) all_0_59_59 = e2 % 20.87/5.41 | % 20.87/5.41 | Equations (364) can reduce 1029 to: % 20.87/5.41 | (251) $false % 20.87/5.41 | % 20.87/5.41 |-The branch is then unsatisfiable % 20.87/5.41 |-Branch two: % 20.87/5.41 | (1029) ~ (all_0_59_59 = e2) % 20.87/5.41 | (1077) all_0_59_59 = e0 % 20.87/5.41 | % 20.87/5.41 | Equations (1077) can reduce 1029 to: % 20.87/5.41 | (274) ~ (e2 = e0) % 20.87/5.41 | % 20.87/5.41 | Simplifying 274 yields: % 20.87/5.41 | (48) ~ (e2 = e0) % 20.87/5.41 | % 20.87/5.41 | Instantiating formula (61) with e2, e4, all_0_1_1, e1 and discharging atoms op(e2, e4) = all_0_1_1, op(e2, e4) = e1, yields: % 20.87/5.41 | (3343) all_0_1_1 = e1 % 20.87/5.41 | % 20.87/5.41 | Instantiating formula (61) with e2, e4, all_0_22_22, all_0_1_1 and discharging atoms op(e2, e4) = all_0_1_1, op(e2, e4) = all_0_22_22, yields: % 20.87/5.41 | (1342) all_0_1_1 = all_0_22_22 % 20.87/5.41 | % 20.87/5.41 | Instantiating formula (61) with e2, e1, all_0_13_13, e3 and discharging atoms op(e2, e1) = all_0_13_13, op(e2, e1) = e3, yields: % 20.87/5.41 | (2974) all_0_13_13 = e3 % 20.87/5.41 | % 20.87/5.41 | Instantiating formula (61) with e2, e1, all_0_21_21, all_0_13_13 and discharging atoms op(e2, e1) = all_0_13_13, op(e2, e1) = all_0_21_21, yields: % 20.87/5.41 | (791) all_0_13_13 = all_0_21_21 % 20.87/5.41 | % 20.87/5.41 | Combining equations (3343,1342) yields a new equation: % 20.87/5.41 | (3347) all_0_22_22 = e1 % 20.87/5.41 | % 20.87/5.41 | Combining equations (791,2974) yields a new equation: % 20.87/5.41 | (3348) all_0_21_21 = e3 % 20.87/5.41 | % 20.87/5.41 | Simplifying 3348 yields: % 20.87/5.41 | (3349) all_0_21_21 = e3 % 20.87/5.41 | % 20.87/5.41 +-Applying beta-rule and splitting (212), into two cases. % 20.87/5.41 |-Branch one: % 20.87/5.41 | (3350) ~ (all_0_22_22 = e1) % 20.87/5.41 | % 20.87/5.41 | Equations (3347) can reduce 3350 to: % 20.87/5.41 | (251) $false % 20.87/5.41 | % 20.87/5.41 |-The branch is then unsatisfiable % 20.87/5.41 |-Branch two: % 20.87/5.42 | (3347) all_0_22_22 = e1 % 20.87/5.42 | (3353) all_0_21_21 = e4 | all_0_59_59 = all_0_68_68 % 20.87/5.42 | % 20.87/5.42 +-Applying beta-rule and splitting (3353), into two cases. % 20.87/5.42 |-Branch one: % 20.87/5.42 | (1369) all_0_21_21 = e4 % 20.87/5.42 | % 20.87/5.42 | Combining equations (1369,3349) yields a new equation: % 20.87/5.42 | (1463) e4 = e3 % 20.87/5.42 | % 20.87/5.42 | Simplifying 1463 yields: % 20.87/5.42 | (935) e4 = e3 % 20.87/5.42 | % 20.87/5.42 | Equations (935) can reduce 130 to: % 20.87/5.42 | (251) $false % 20.87/5.42 | % 20.87/5.42 |-The branch is then unsatisfiable % 20.87/5.42 |-Branch two: % 20.87/5.42 | (3358) ~ (all_0_21_21 = e4) % 20.87/5.42 | (3359) all_0_59_59 = all_0_68_68 % 20.87/5.42 | % 20.87/5.42 | Combining equations (1077,3359) yields a new equation: % 20.87/5.42 | (988) all_0_68_68 = e0 % 20.87/5.42 | % 20.87/5.42 | Combining equations (729,988) yields a new equation: % 20.87/5.42 | (354) e2 = e0 % 20.87/5.42 | % 20.87/5.42 | Simplifying 354 yields: % 20.87/5.42 | (355) e2 = e0 % 20.87/5.42 | % 20.87/5.42 | Equations (355) can reduce 48 to: % 20.87/5.42 | (251) $false % 20.87/5.42 | % 20.87/5.42 |-The branch is then unsatisfiable % 20.87/5.42 |-Branch two: % 20.87/5.42 | (366) ~ (all_0_63_63 = e2) % 20.87/5.42 | (576) all_0_63_63 = e0 % 20.87/5.42 | % 20.87/5.42 | Equations (576) can reduce 470 to: % 20.87/5.42 | (251) $false % 20.87/5.42 | % 20.87/5.42 |-The branch is then unsatisfiable % 20.87/5.42 |-Branch two: % 20.87/5.42 | (987) ~ (all_0_68_68 = e2) % 20.87/5.42 | (988) all_0_68_68 = e0 % 20.87/5.42 | % 20.87/5.42 | Equations (988) can reduce 271 to: % 20.87/5.42 | (251) $false % 20.87/5.42 | % 20.87/5.42 |-The branch is then unsatisfiable % 20.87/5.42 |-Branch two: % 20.87/5.42 | (339) ~ (all_0_57_57 = e2) % 20.87/5.42 | (991) all_0_57_57 = e1 | all_0_57_57 = e0 % 20.87/5.42 | % 20.87/5.42 +-Applying beta-rule and splitting (177), into two cases. % 20.87/5.42 |-Branch one: % 20.87/5.42 | (254) all_0_56_56 = e2 % 20.87/5.42 | % 20.87/5.42 | Combining equations (254,250) yields a new equation: % 20.87/5.42 | (376) e3 = e2 % 20.87/5.42 | % 20.87/5.42 | Equations (376) can reduce 128 to: % 20.87/5.42 | (251) $false % 20.87/5.42 | % 20.87/5.42 |-The branch is then unsatisfiable % 20.87/5.42 |-Branch two: % 20.87/5.42 | (247) ~ (all_0_56_56 = e2) % 20.87/5.42 | (358) all_0_57_57 = e2 | all_0_59_59 = e2 % 20.87/5.42 | % 20.87/5.42 +-Applying beta-rule and splitting (991), into two cases. % 20.87/5.42 |-Branch one: % 20.87/5.42 | (313) all_0_57_57 = e1 % 20.87/5.42 | % 20.87/5.42 | Equations (313) can reduce 635 to: % 20.87/5.42 | (251) $false % 20.87/5.42 | % 20.87/5.42 |-The branch is then unsatisfiable % 20.87/5.42 |-Branch two: % 20.87/5.42 | (635) ~ (all_0_57_57 = e1) % 20.87/5.42 | (1840) all_0_57_57 = e0 % 20.87/5.42 | % 20.87/5.42 | Equations (1840) can reduce 233 to: % 20.87/5.42 | (264) ~ (all_0_59_59 = e0) % 20.87/5.42 | % 20.87/5.42 | Simplifying 264 yields: % 20.87/5.42 | (265) ~ (all_0_59_59 = e0) % 20.87/5.42 | % 20.87/5.42 | Equations (1840) can reduce 18 to: % 20.87/5.42 | (1155) ~ (all_0_69_69 = e0) % 20.87/5.42 | % 20.87/5.42 | Simplifying 1155 yields: % 20.87/5.42 | (1156) ~ (all_0_69_69 = e0) % 20.87/5.42 | % 20.87/5.42 | Equations (1840) can reduce 124 to: % 20.87/5.42 | (272) ~ (e3 = e0) % 20.87/5.42 | % 20.87/5.42 | Simplifying 272 yields: % 20.87/5.42 | (36) ~ (e3 = e0) % 20.87/5.42 | % 20.87/5.42 | Equations (1840) can reduce 339 to: % 20.87/5.42 | (274) ~ (e2 = e0) % 20.87/5.42 | % 20.87/5.42 | Simplifying 274 yields: % 20.87/5.42 | (48) ~ (e2 = e0) % 20.87/5.42 | % 20.87/5.42 | Equations (1840) can reduce 635 to: % 20.87/5.42 | (276) ~ (e1 = e0) % 20.87/5.42 | % 20.87/5.42 | Simplifying 276 yields: % 20.87/5.42 | (204) ~ (e1 = e0) % 20.87/5.42 | % 20.87/5.42 +-Applying beta-rule and splitting (358), into two cases. % 20.87/5.42 |-Branch one: % 20.87/5.42 | (335) all_0_57_57 = e2 % 20.87/5.42 | % 20.87/5.42 | Combining equations (335,1840) yields a new equation: % 20.87/5.42 | (354) e2 = e0 % 20.87/5.42 | % 20.87/5.42 | Simplifying 354 yields: % 20.87/5.42 | (355) e2 = e0 % 20.87/5.42 | % 20.87/5.42 | Equations (355) can reduce 48 to: % 20.87/5.42 | (251) $false % 20.87/5.42 | % 20.87/5.42 |-The branch is then unsatisfiable % 20.87/5.42 |-Branch two: % 20.87/5.42 | (339) ~ (all_0_57_57 = e2) % 20.87/5.42 | (364) all_0_59_59 = e2 % 20.87/5.42 | % 20.87/5.42 | Equations (364) can reduce 96 to: % 20.87/5.42 | (365) ~ (all_0_63_63 = e2) % 20.87/5.42 | % 20.87/5.42 | Simplifying 365 yields: % 20.87/5.42 | (366) ~ (all_0_63_63 = e2) % 20.87/5.42 | % 20.87/5.42 | Equations (364) can reduce 171 to: % 20.87/5.42 | (184) ~ (e2 = e1) % 20.87/5.42 | % 20.87/5.42 | Equations (364) can reduce 265 to: % 20.87/5.42 | (48) ~ (e2 = e0) % 20.87/5.42 | % 20.87/5.42 +-Applying beta-rule and splitting (228), into two cases. % 20.87/5.42 |-Branch one: % 20.87/5.42 | (278) all_0_60_60 = e2 % 20.87/5.42 | % 20.87/5.42 | Equations (278) can reduce 76 to: % 20.87/5.42 | (365) ~ (all_0_63_63 = e2) % 20.87/5.42 | % 20.87/5.42 | Simplifying 365 yields: % 20.87/5.42 | (366) ~ (all_0_63_63 = e2) % 20.87/5.42 | % 20.87/5.42 | Equations (278) can reduce 651 to: % 20.87/5.42 | (184) ~ (e2 = e1) % 20.87/5.42 | % 20.87/5.42 +-Applying beta-rule and splitting (60), into two cases. % 20.87/5.42 |-Branch one: % 20.87/5.42 | (335) all_0_57_57 = e2 % 20.87/5.42 | % 20.87/5.42 | Combining equations (335,1840) yields a new equation: % 20.87/5.42 | (354) e2 = e0 % 20.87/5.42 | % 20.87/5.42 | Simplifying 354 yields: % 20.87/5.42 | (355) e2 = e0 % 20.87/5.42 | % 20.87/5.42 | Equations (355) can reduce 48 to: % 20.87/5.42 | (251) $false % 20.87/5.42 | % 20.87/5.42 |-The branch is then unsatisfiable % 20.87/5.42 |-Branch two: % 20.87/5.42 | (339) ~ (all_0_57_57 = e2) % 20.87/5.42 | (340) all_0_61_61 = e2 | all_0_69_69 = e2 % 20.87/5.42 | % 20.87/5.42 +-Applying beta-rule and splitting (206), into two cases. % 20.87/5.42 |-Branch one: % 20.87/5.42 | (261) all_0_56_56 = e0 % 20.87/5.42 | % 20.87/5.42 | Combining equations (261,250) yields a new equation: % 20.87/5.42 | (391) e3 = e0 % 20.87/5.42 | % 20.87/5.42 | Equations (391) can reduce 36 to: % 20.87/5.42 | (251) $false % 20.87/5.42 | % 20.87/5.42 |-The branch is then unsatisfiable % 20.87/5.42 |-Branch two: % 20.87/5.42 | (1519) ~ (all_0_56_56 = e0) % 20.87/5.42 | (1520) all_0_60_60 = e0 | all_0_64_64 = e0 | all_0_68_68 = e0 % 20.87/5.42 | % 20.87/5.42 +-Applying beta-rule and splitting (340), into two cases. % 20.87/5.42 |-Branch one: % 20.87/5.42 | (341) all_0_61_61 = e2 % 20.87/5.42 | % 20.87/5.42 | Combining equations (341,523) yields a new equation: % 20.87/5.42 | (336) e2 = e1 % 20.87/5.42 | % 20.87/5.42 | Simplifying 336 yields: % 20.87/5.42 | (337) e2 = e1 % 20.87/5.42 | % 20.87/5.42 | Equations (337) can reduce 184 to: % 20.87/5.42 | (251) $false % 20.87/5.42 | % 20.87/5.42 |-The branch is then unsatisfiable % 20.87/5.42 |-Branch two: % 20.87/5.42 | (244) ~ (all_0_61_61 = e2) % 20.87/5.42 | (344) all_0_69_69 = e2 % 20.87/5.42 | % 20.87/5.42 | Equations (344) can reduce 194 to: % 20.87/5.42 | (987) ~ (all_0_68_68 = e2) % 20.87/5.42 | % 20.87/5.42 | Equations (344) can reduce 482 to: % 20.87/5.42 | (371) ~ (e4 = e2) % 20.87/5.42 | % 20.87/5.42 | Simplifying 371 yields: % 20.87/5.42 | (49) ~ (e4 = e2) % 20.87/5.42 | % 20.87/5.42 | Equations (344) can reduce 238 to: % 20.87/5.42 | (345) ~ (e3 = e2) % 20.87/5.42 | % 20.87/5.42 | Simplifying 345 yields: % 20.87/5.42 | (128) ~ (e3 = e2) % 20.87/5.42 | % 20.87/5.42 | Equations (344) can reduce 156 to: % 20.87/5.42 | (184) ~ (e2 = e1) % 20.87/5.42 | % 20.87/5.42 | Equations (344) can reduce 1156 to: % 20.87/5.42 | (48) ~ (e2 = e0) % 20.87/5.42 | % 20.87/5.42 +-Applying beta-rule and splitting (1520), into two cases. % 20.87/5.42 |-Branch one: % 20.87/5.42 | (1119) all_0_60_60 = e0 % 20.87/5.42 | % 20.87/5.42 | Combining equations (1119,278) yields a new equation: % 20.87/5.42 | (355) e2 = e0 % 20.87/5.42 | % 20.87/5.42 | Equations (355) can reduce 48 to: % 20.87/5.42 | (251) $false % 20.87/5.42 | % 20.87/5.42 |-The branch is then unsatisfiable % 20.87/5.42 |-Branch two: % 20.87/5.42 | (267) ~ (all_0_60_60 = e0) % 20.87/5.42 | (1524) all_0_64_64 = e0 | all_0_68_68 = e0 % 20.87/5.42 | % 20.87/5.42 +-Applying beta-rule and splitting (1524), into two cases. % 20.87/5.42 |-Branch one: % 20.87/5.42 | (643) all_0_64_64 = e0 % 20.87/5.42 | % 20.87/5.42 | Combining equations (306,643) yields a new equation: % 20.87/5.42 | (287) e1 = e0 % 20.87/5.42 | % 20.87/5.42 | Simplifying 287 yields: % 20.87/5.42 | (288) e1 = e0 % 20.87/5.42 | % 20.87/5.42 | Equations (288) can reduce 204 to: % 20.87/5.42 | (251) $false % 20.87/5.42 | % 20.87/5.42 |-The branch is then unsatisfiable % 20.87/5.42 |-Branch two: % 20.87/5.42 | (269) ~ (all_0_64_64 = e0) % 20.87/5.42 | (988) all_0_68_68 = e0 % 20.87/5.42 | % 20.87/5.42 | Equations (988) can reduce 14 to: % 20.87/5.42 | (514) ~ (e4 = e0) % 20.87/5.42 | % 20.87/5.42 | Simplifying 514 yields: % 20.87/5.42 | (17) ~ (e4 = e0) % 20.87/5.42 | % 20.87/5.42 | Equations (988) can reduce 987 to: % 20.87/5.42 | (274) ~ (e2 = e0) % 20.87/5.42 | % 20.87/5.42 | Simplifying 274 yields: % 20.87/5.42 | (48) ~ (e2 = e0) % 20.87/5.42 | % 20.87/5.42 | Equations (988) can reduce 108 to: % 20.87/5.42 | (276) ~ (e1 = e0) % 20.87/5.42 | % 20.87/5.42 | Simplifying 276 yields: % 20.87/5.42 | (204) ~ (e1 = e0) % 20.87/5.42 | % 20.87/5.42 +-Applying beta-rule and splitting (145), into two cases. % 20.87/5.42 |-Branch one: % 20.87/5.42 | (1077) all_0_59_59 = e0 % 20.87/5.42 | % 20.87/5.42 | Combining equations (1077,364) yields a new equation: % 20.87/5.42 | (355) e2 = e0 % 20.87/5.42 | % 20.87/5.42 | Equations (355) can reduce 48 to: % 20.87/5.42 | (251) $false % 20.87/5.42 | % 20.87/5.42 |-The branch is then unsatisfiable % 20.87/5.42 |-Branch two: % 20.87/5.42 | (265) ~ (all_0_59_59 = e0) % 20.87/5.42 | (1786) all_0_63_63 = e0 | all_0_67_67 = e0 | all_0_71_71 = e0 % 20.87/5.42 | % 20.87/5.42 | Equations (364) can reduce 265 to: % 20.87/5.42 | (48) ~ (e2 = e0) % 20.87/5.42 | % 20.87/5.42 +-Applying beta-rule and splitting (213), into two cases. % 20.87/5.42 |-Branch one: % 20.87/5.42 | (1119) all_0_60_60 = e0 % 20.87/5.42 | % 20.87/5.42 | Combining equations (278,1119) yields a new equation: % 20.87/5.42 | (354) e2 = e0 % 20.87/5.42 | % 20.87/5.42 | Simplifying 354 yields: % 20.87/5.42 | (355) e2 = e0 % 20.87/5.42 | % 20.87/5.42 | Equations (355) can reduce 48 to: % 20.87/5.42 | (251) $false % 20.87/5.42 | % 20.87/5.42 |-The branch is then unsatisfiable % 20.87/5.42 |-Branch two: % 20.87/5.42 | (267) ~ (all_0_60_60 = e0) % 20.87/5.42 | (2002) all_0_61_61 = e0 | all_0_62_62 = e0 | all_0_63_63 = e0 % 20.87/5.42 | % 20.87/5.42 +-Applying beta-rule and splitting (2002), into two cases. % 20.87/5.42 |-Branch one: % 20.87/5.42 | (467) all_0_61_61 = e0 % 20.87/5.42 | % 20.87/5.42 | Combining equations (523,467) yields a new equation: % 20.87/5.42 | (287) e1 = e0 % 20.87/5.42 | % 20.87/5.42 | Simplifying 287 yields: % 20.87/5.42 | (288) e1 = e0 % 20.87/5.42 | % 20.87/5.42 | Equations (288) can reduce 204 to: % 20.87/5.42 | (251) $false % 20.87/5.42 | % 20.87/5.42 |-The branch is then unsatisfiable % 20.87/5.42 |-Branch two: % 20.87/5.42 | (2164) ~ (all_0_61_61 = e0) % 20.87/5.42 | (2268) all_0_62_62 = e0 | all_0_63_63 = e0 % 20.87/5.42 | % 20.87/5.42 +-Applying beta-rule and splitting (2268), into two cases. % 20.87/5.42 |-Branch one: % 20.87/5.42 | (925) all_0_62_62 = e0 % 20.87/5.42 | % 20.87/5.42 | Combining equations (845,925) yields a new equation: % 20.87/5.42 | (531) e4 = e0 % 20.87/5.42 | % 20.87/5.42 | Simplifying 531 yields: % 20.87/5.42 | (510) e4 = e0 % 20.87/5.42 | % 20.87/5.42 | Equations (510) can reduce 17 to: % 20.87/5.42 | (251) $false % 20.87/5.42 | % 20.87/5.42 |-The branch is then unsatisfiable % 20.87/5.42 |-Branch two: % 20.87/5.42 | (838) ~ (all_0_62_62 = e0) % 20.87/5.42 | (576) all_0_63_63 = e0 % 20.87/5.42 | % 20.87/5.42 | Equations (576) can reduce 366 to: % 20.87/5.42 | (274) ~ (e2 = e0) % 20.87/5.42 | % 20.87/5.42 | Simplifying 274 yields: % 20.87/5.42 | (48) ~ (e2 = e0) % 20.87/5.42 | % 20.87/5.42 +-Applying beta-rule and splitting (63), into two cases. % 20.87/5.42 |-Branch one: % 20.87/5.42 | (1457) ~ (all_0_66_66 = e0) % 20.87/5.42 | % 20.87/5.42 | Equations (468) can reduce 1457 to: % 20.87/5.42 | (251) $false % 20.87/5.42 | % 20.87/5.42 |-The branch is then unsatisfiable % 20.87/5.42 |-Branch two: % 20.87/5.42 | (468) all_0_66_66 = e0 % 20.87/5.42 | (3475) all_0_56_56 = e2 | all_0_61_61 = e2 | all_0_71_71 = e2 | (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) | (all_0_60_60 = e2 & ~ (all_0_62_62 = e4)) | (all_0_63_63 = e2 & ~ (all_0_62_62 = e1)) | (all_0_68_68 = e2 & ~ (all_0_70_70 = e4)) | (all_0_69_69 = e2 & ~ (all_0_70_70 = e3)) % 20.87/5.42 | % 20.87/5.42 +-Applying beta-rule and splitting (3475), into two cases. % 20.87/5.42 |-Branch one: % 20.87/5.42 | (254) all_0_56_56 = e2 % 20.87/5.42 | % 20.87/5.42 | Combining equations (254,250) yields a new equation: % 20.87/5.42 | (376) e3 = e2 % 20.87/5.42 | % 20.87/5.42 | Equations (376) can reduce 128 to: % 20.87/5.42 | (251) $false % 20.87/5.42 | % 20.87/5.42 |-The branch is then unsatisfiable % 20.87/5.42 |-Branch two: % 20.87/5.42 | (247) ~ (all_0_56_56 = e2) % 20.87/5.42 | (3480) all_0_61_61 = e2 | all_0_71_71 = e2 | (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) | (all_0_60_60 = e2 & ~ (all_0_62_62 = e4)) | (all_0_63_63 = e2 & ~ (all_0_62_62 = e1)) | (all_0_68_68 = e2 & ~ (all_0_70_70 = e4)) | (all_0_69_69 = e2 & ~ (all_0_70_70 = e3)) % 20.87/5.42 | % 20.87/5.43 +-Applying beta-rule and splitting (3480), into two cases. % 20.87/5.43 |-Branch one: % 20.87/5.43 | (341) all_0_61_61 = e2 % 20.87/5.43 | % 20.87/5.43 | Combining equations (523,341) yields a new equation: % 20.87/5.43 | (337) e2 = e1 % 20.87/5.43 | % 20.87/5.43 | Equations (337) can reduce 184 to: % 20.87/5.43 | (251) $false % 20.87/5.43 | % 20.87/5.43 |-The branch is then unsatisfiable % 20.87/5.43 |-Branch two: % 20.87/5.43 | (244) ~ (all_0_61_61 = e2) % 20.87/5.43 | (3485) all_0_71_71 = e2 | (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) | (all_0_60_60 = e2 & ~ (all_0_62_62 = e4)) | (all_0_63_63 = e2 & ~ (all_0_62_62 = e1)) | (all_0_68_68 = e2 & ~ (all_0_70_70 = e4)) | (all_0_69_69 = e2 & ~ (all_0_70_70 = e3)) % 20.87/5.43 | % 20.87/5.43 +-Applying beta-rule and splitting (3485), into two cases. % 20.87/5.43 |-Branch one: % 20.87/5.43 | (563) all_0_71_71 = e2 % 20.87/5.43 | % 20.87/5.43 | Combining equations (563,552) yields a new equation: % 20.87/5.43 | (480) e4 = e2 % 20.87/5.43 | % 20.87/5.43 | Equations (480) can reduce 49 to: % 20.87/5.43 | (251) $false % 20.87/5.43 | % 20.87/5.43 |-The branch is then unsatisfiable % 20.87/5.43 |-Branch two: % 20.87/5.43 | (370) ~ (all_0_71_71 = e2) % 20.87/5.43 | (3490) (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) | (all_0_60_60 = e2 & ~ (all_0_62_62 = e4)) | (all_0_63_63 = e2 & ~ (all_0_62_62 = e1)) | (all_0_68_68 = e2 & ~ (all_0_70_70 = e4)) | (all_0_69_69 = e2 & ~ (all_0_70_70 = e3)) % 20.87/5.43 | % 20.87/5.43 +-Applying beta-rule and splitting (3490), into two cases. % 20.87/5.43 |-Branch one: % 20.87/5.43 | (3491) (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) | (all_0_60_60 = e2 & ~ (all_0_62_62 = e4)) | (all_0_63_63 = e2 & ~ (all_0_62_62 = e1)) | (all_0_68_68 = e2 & ~ (all_0_70_70 = e4)) % 20.87/5.43 | % 20.87/5.43 +-Applying beta-rule and splitting (3491), into two cases. % 20.87/5.43 |-Branch one: % 20.87/5.43 | (3492) (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) | (all_0_60_60 = e2 & ~ (all_0_62_62 = e4)) | (all_0_63_63 = e2 & ~ (all_0_62_62 = e1)) % 20.87/5.43 | % 20.87/5.43 +-Applying beta-rule and splitting (3492), into two cases. % 20.87/5.43 |-Branch one: % 20.87/5.43 | (3493) (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) | (all_0_60_60 = e2 & ~ (all_0_62_62 = e4)) % 20.87/5.43 | % 20.87/5.43 +-Applying beta-rule and splitting (3493), into two cases. % 20.87/5.43 |-Branch one: % 20.87/5.43 | (3494) (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) % 20.87/5.43 | % 20.87/5.43 +-Applying beta-rule and splitting (3494), into two cases. % 20.87/5.43 |-Branch one: % 20.87/5.43 | (3495) all_0_57_57 = e2 & ~ (all_0_58_58 = e3) % 20.87/5.43 | % 20.87/5.43 | Applying alpha-rule on (3495) yields: % 20.87/5.43 | (335) all_0_57_57 = e2 % 20.87/5.43 | (621) ~ (all_0_58_58 = e3) % 20.87/5.43 | % 20.87/5.43 | Combining equations (335,1840) yields a new equation: % 20.87/5.43 | (354) e2 = e0 % 20.87/5.43 | % 20.87/5.43 | Simplifying 354 yields: % 20.87/5.43 | (355) e2 = e0 % 20.87/5.43 | % 20.87/5.43 | Equations (355) can reduce 48 to: % 20.87/5.43 | (251) $false % 20.87/5.43 | % 20.87/5.43 |-The branch is then unsatisfiable % 20.87/5.43 |-Branch two: % 20.87/5.43 | (3501) all_0_59_59 = e2 & ~ (all_0_58_58 = e1) % 20.87/5.43 | % 20.87/5.43 | Applying alpha-rule on (3501) yields: % 20.87/5.43 | (364) all_0_59_59 = e2 % 20.87/5.43 | (315) ~ (all_0_58_58 = e1) % 20.87/5.43 | % 20.87/5.43 | Equations (323) can reduce 315 to: % 20.87/5.43 | (251) $false % 20.87/5.43 | % 20.87/5.43 |-The branch is then unsatisfiable % 20.87/5.43 |-Branch two: % 20.87/5.43 | (3505) all_0_60_60 = e2 & ~ (all_0_62_62 = e4) % 20.87/5.43 | % 20.87/5.43 | Applying alpha-rule on (3505) yields: % 20.87/5.43 | (278) all_0_60_60 = e2 % 20.87/5.43 | (920) ~ (all_0_62_62 = e4) % 20.87/5.43 | % 20.87/5.43 | Equations (845) can reduce 920 to: % 20.87/5.43 | (251) $false % 20.87/5.43 | % 20.87/5.43 |-The branch is then unsatisfiable % 20.87/5.43 |-Branch two: % 20.87/5.43 | (3509) all_0_63_63 = e2 & ~ (all_0_62_62 = e1) % 20.87/5.43 | % 20.87/5.43 | Applying alpha-rule on (3509) yields: % 20.87/5.43 | (573) all_0_63_63 = e2 % 20.87/5.43 | (632) ~ (all_0_62_62 = e1) % 20.87/5.43 | % 20.87/5.43 | Combining equations (576,573) yields a new equation: % 20.87/5.43 | (355) e2 = e0 % 20.87/5.43 | % 20.87/5.43 | Equations (355) can reduce 48 to: % 20.87/5.43 | (251) $false % 20.87/5.43 | % 20.87/5.43 |-The branch is then unsatisfiable % 20.87/5.43 |-Branch two: % 20.87/5.43 | (3514) all_0_68_68 = e2 & ~ (all_0_70_70 = e4) % 20.87/5.43 | % 20.87/5.43 | Applying alpha-rule on (3514) yields: % 20.87/5.43 | (729) all_0_68_68 = e2 % 20.87/5.43 | (567) ~ (all_0_70_70 = e4) % 20.87/5.43 | % 20.87/5.43 | Combining equations (988,729) yields a new equation: % 20.87/5.43 | (355) e2 = e0 % 20.87/5.43 | % 20.87/5.43 | Equations (355) can reduce 48 to: % 20.87/5.43 | (251) $false % 20.87/5.43 | % 20.87/5.43 |-The branch is then unsatisfiable % 20.87/5.43 |-Branch two: % 20.87/5.43 | (3519) all_0_69_69 = e2 & ~ (all_0_70_70 = e3) % 20.87/5.43 | % 20.87/5.43 | Applying alpha-rule on (3519) yields: % 20.87/5.43 | (344) all_0_69_69 = e2 % 20.87/5.43 | (397) ~ (all_0_70_70 = e3) % 20.87/5.43 | % 20.87/5.43 | Equations (597) can reduce 397 to: % 20.87/5.43 | (251) $false % 20.87/5.43 | % 20.87/5.43 |-The branch is then unsatisfiable % 20.87/5.43 |-Branch two: % 20.87/5.43 | (666) ~ (all_0_60_60 = e2) % 20.87/5.43 | (685) all_0_61_61 = e2 | all_0_63_63 = e2 % 20.87/5.43 | % 20.87/5.43 +-Applying beta-rule and splitting (68), into two cases. % 20.87/5.43 |-Branch one: % 20.87/5.43 | (278) all_0_60_60 = e2 % 20.87/5.43 | % 20.87/5.43 | Equations (278) can reduce 666 to: % 20.87/5.43 | (251) $false % 20.87/5.43 | % 20.87/5.43 |-The branch is then unsatisfiable % 20.87/5.43 |-Branch two: % 20.87/5.43 | (666) ~ (all_0_60_60 = e2) % 20.87/5.43 | (667) all_0_60_60 = e1 | all_0_60_60 = e0 % 20.87/5.43 | % 20.87/5.43 +-Applying beta-rule and splitting (60), into two cases. % 20.87/5.43 |-Branch one: % 20.87/5.43 | (335) all_0_57_57 = e2 % 20.87/5.43 | % 20.87/5.43 | Combining equations (335,1840) yields a new equation: % 20.87/5.43 | (354) e2 = e0 % 20.87/5.43 | % 20.87/5.43 | Simplifying 354 yields: % 20.87/5.43 | (355) e2 = e0 % 20.87/5.43 | % 20.87/5.43 | Equations (355) can reduce 48 to: % 20.87/5.43 | (251) $false % 20.87/5.43 | % 20.87/5.43 |-The branch is then unsatisfiable % 20.87/5.43 |-Branch two: % 20.87/5.43 | (339) ~ (all_0_57_57 = e2) % 20.87/5.43 | (340) all_0_61_61 = e2 | all_0_69_69 = e2 % 20.87/5.43 | % 20.87/5.43 +-Applying beta-rule and splitting (667), into two cases. % 20.87/5.43 |-Branch one: % 20.87/5.43 | (647) all_0_60_60 = e1 % 20.87/5.43 | % 20.87/5.43 | Equations (647) can reduce 651 to: % 20.87/5.43 | (251) $false % 20.87/5.43 | % 20.87/5.43 |-The branch is then unsatisfiable % 20.87/5.43 |-Branch two: % 20.87/5.43 | (651) ~ (all_0_60_60 = e1) % 20.87/5.43 | (1119) all_0_60_60 = e0 % 20.87/5.43 | % 20.87/5.43 +-Applying beta-rule and splitting (340), into two cases. % 20.87/5.43 |-Branch one: % 20.87/5.43 | (341) all_0_61_61 = e2 % 20.87/5.43 | % 20.87/5.43 | Combining equations (341,523) yields a new equation: % 20.87/5.43 | (336) e2 = e1 % 20.87/5.43 | % 20.87/5.43 | Simplifying 336 yields: % 20.87/5.43 | (337) e2 = e1 % 20.87/5.43 | % 20.87/5.43 | Equations (337) can reduce 184 to: % 20.87/5.43 | (251) $false % 20.87/5.43 | % 20.87/5.43 |-The branch is then unsatisfiable % 20.87/5.43 |-Branch two: % 20.87/5.43 | (244) ~ (all_0_61_61 = e2) % 20.87/5.43 | (344) all_0_69_69 = e2 % 20.87/5.43 | % 20.87/5.43 | Equations (344) can reduce 194 to: % 20.87/5.43 | (987) ~ (all_0_68_68 = e2) % 20.87/5.43 | % 20.87/5.43 | Equations (344) can reduce 482 to: % 20.87/5.43 | (371) ~ (e4 = e2) % 20.87/5.43 | % 20.87/5.43 | Simplifying 371 yields: % 20.87/5.43 | (49) ~ (e4 = e2) % 20.87/5.43 | % 20.87/5.43 | Equations (344) can reduce 238 to: % 20.87/5.43 | (345) ~ (e3 = e2) % 20.87/5.43 | % 20.87/5.43 | Simplifying 345 yields: % 20.87/5.43 | (128) ~ (e3 = e2) % 20.87/5.43 | % 20.87/5.43 | Equations (344) can reduce 156 to: % 20.87/5.43 | (184) ~ (e2 = e1) % 20.87/5.43 | % 20.87/5.43 | Equations (344) can reduce 1156 to: % 20.87/5.43 | (48) ~ (e2 = e0) % 20.87/5.43 | % 20.87/5.43 +-Applying beta-rule and splitting (63), into two cases. % 20.87/5.43 |-Branch one: % 20.87/5.43 | (1457) ~ (all_0_66_66 = e0) % 20.87/5.43 | % 20.87/5.43 | Equations (468) can reduce 1457 to: % 20.87/5.43 | (251) $false % 20.87/5.43 | % 20.87/5.43 |-The branch is then unsatisfiable % 20.87/5.43 |-Branch two: % 20.87/5.43 | (468) all_0_66_66 = e0 % 20.87/5.43 | (3475) all_0_56_56 = e2 | all_0_61_61 = e2 | all_0_71_71 = e2 | (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) | (all_0_60_60 = e2 & ~ (all_0_62_62 = e4)) | (all_0_63_63 = e2 & ~ (all_0_62_62 = e1)) | (all_0_68_68 = e2 & ~ (all_0_70_70 = e4)) | (all_0_69_69 = e2 & ~ (all_0_70_70 = e3)) % 20.87/5.43 | % 20.87/5.43 +-Applying beta-rule and splitting (3475), into two cases. % 20.87/5.43 |-Branch one: % 20.87/5.43 | (254) all_0_56_56 = e2 % 20.87/5.43 | % 20.87/5.43 | Combining equations (254,250) yields a new equation: % 20.87/5.43 | (376) e3 = e2 % 20.87/5.43 | % 20.87/5.43 | Equations (376) can reduce 128 to: % 20.87/5.43 | (251) $false % 20.87/5.43 | % 20.87/5.43 |-The branch is then unsatisfiable % 20.87/5.43 |-Branch two: % 20.87/5.43 | (247) ~ (all_0_56_56 = e2) % 20.87/5.43 | (3480) all_0_61_61 = e2 | all_0_71_71 = e2 | (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) | (all_0_60_60 = e2 & ~ (all_0_62_62 = e4)) | (all_0_63_63 = e2 & ~ (all_0_62_62 = e1)) | (all_0_68_68 = e2 & ~ (all_0_70_70 = e4)) | (all_0_69_69 = e2 & ~ (all_0_70_70 = e3)) % 20.87/5.43 | % 20.87/5.43 +-Applying beta-rule and splitting (3480), into two cases. % 20.87/5.43 |-Branch one: % 20.87/5.43 | (341) all_0_61_61 = e2 % 20.87/5.43 | % 20.87/5.43 | Combining equations (341,523) yields a new equation: % 20.87/5.43 | (336) e2 = e1 % 20.87/5.43 | % 20.87/5.43 | Simplifying 336 yields: % 20.87/5.43 | (337) e2 = e1 % 20.87/5.43 | % 20.87/5.43 | Equations (337) can reduce 184 to: % 20.87/5.43 | (251) $false % 20.87/5.43 | % 20.87/5.43 |-The branch is then unsatisfiable % 20.87/5.43 |-Branch two: % 20.87/5.43 | (244) ~ (all_0_61_61 = e2) % 20.87/5.43 | (3485) all_0_71_71 = e2 | (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) | (all_0_60_60 = e2 & ~ (all_0_62_62 = e4)) | (all_0_63_63 = e2 & ~ (all_0_62_62 = e1)) | (all_0_68_68 = e2 & ~ (all_0_70_70 = e4)) | (all_0_69_69 = e2 & ~ (all_0_70_70 = e3)) % 20.87/5.43 | % 20.87/5.43 +-Applying beta-rule and splitting (3485), into two cases. % 20.87/5.43 |-Branch one: % 20.87/5.43 | (563) all_0_71_71 = e2 % 20.87/5.43 | % 20.87/5.44 | Combining equations (552,563) yields a new equation: % 20.87/5.44 | (479) e4 = e2 % 20.87/5.44 | % 20.87/5.44 | Simplifying 479 yields: % 20.87/5.44 | (480) e4 = e2 % 20.87/5.44 | % 20.87/5.44 | Equations (480) can reduce 49 to: % 20.87/5.44 | (251) $false % 20.87/5.44 | % 20.87/5.44 |-The branch is then unsatisfiable % 20.87/5.44 |-Branch two: % 20.87/5.44 | (370) ~ (all_0_71_71 = e2) % 20.87/5.44 | (3490) (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) | (all_0_60_60 = e2 & ~ (all_0_62_62 = e4)) | (all_0_63_63 = e2 & ~ (all_0_62_62 = e1)) | (all_0_68_68 = e2 & ~ (all_0_70_70 = e4)) | (all_0_69_69 = e2 & ~ (all_0_70_70 = e3)) % 20.87/5.44 | % 20.87/5.44 +-Applying beta-rule and splitting (3490), into two cases. % 20.87/5.44 |-Branch one: % 20.87/5.44 | (3491) (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) | (all_0_60_60 = e2 & ~ (all_0_62_62 = e4)) | (all_0_63_63 = e2 & ~ (all_0_62_62 = e1)) | (all_0_68_68 = e2 & ~ (all_0_70_70 = e4)) % 20.87/5.44 | % 20.87/5.44 +-Applying beta-rule and splitting (3491), into two cases. % 20.87/5.44 |-Branch one: % 20.87/5.44 | (3492) (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) | (all_0_60_60 = e2 & ~ (all_0_62_62 = e4)) | (all_0_63_63 = e2 & ~ (all_0_62_62 = e1)) % 20.87/5.44 | % 20.87/5.44 +-Applying beta-rule and splitting (3492), into two cases. % 20.87/5.44 |-Branch one: % 20.87/5.44 | (3493) (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) | (all_0_60_60 = e2 & ~ (all_0_62_62 = e4)) % 20.87/5.44 | % 20.87/5.44 +-Applying beta-rule and splitting (3493), into two cases. % 20.87/5.44 |-Branch one: % 20.87/5.44 | (3494) (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) % 20.87/5.44 | % 20.87/5.44 +-Applying beta-rule and splitting (3494), into two cases. % 20.87/5.44 |-Branch one: % 20.87/5.44 | (3495) all_0_57_57 = e2 & ~ (all_0_58_58 = e3) % 20.87/5.44 | % 20.87/5.44 | Applying alpha-rule on (3495) yields: % 20.87/5.44 | (335) all_0_57_57 = e2 % 20.87/5.44 | (621) ~ (all_0_58_58 = e3) % 20.87/5.44 | % 20.87/5.44 | Combining equations (335,1840) yields a new equation: % 20.87/5.44 | (354) e2 = e0 % 20.87/5.44 | % 20.87/5.44 | Simplifying 354 yields: % 20.87/5.44 | (355) e2 = e0 % 20.87/5.44 | % 20.87/5.44 | Equations (355) can reduce 48 to: % 20.87/5.44 | (251) $false % 20.87/5.44 | % 20.87/5.44 |-The branch is then unsatisfiable % 20.87/5.44 |-Branch two: % 20.87/5.44 | (3501) all_0_59_59 = e2 & ~ (all_0_58_58 = e1) % 20.87/5.44 | % 20.87/5.44 | Applying alpha-rule on (3501) yields: % 20.87/5.44 | (364) all_0_59_59 = e2 % 20.87/5.44 | (315) ~ (all_0_58_58 = e1) % 20.87/5.44 | % 20.87/5.44 | Equations (323) can reduce 315 to: % 20.87/5.44 | (251) $false % 20.87/5.44 | % 20.87/5.44 |-The branch is then unsatisfiable % 20.87/5.44 |-Branch two: % 20.87/5.44 | (3505) all_0_60_60 = e2 & ~ (all_0_62_62 = e4) % 20.87/5.44 | % 20.87/5.44 | Applying alpha-rule on (3505) yields: % 20.87/5.44 | (278) all_0_60_60 = e2 % 20.87/5.44 | (920) ~ (all_0_62_62 = e4) % 20.87/5.44 | % 20.87/5.44 | Combining equations (278,1119) yields a new equation: % 20.87/5.44 | (354) e2 = e0 % 20.87/5.44 | % 20.87/5.44 | Simplifying 354 yields: % 20.87/5.44 | (355) e2 = e0 % 20.87/5.44 | % 20.87/5.44 | Equations (355) can reduce 48 to: % 20.87/5.44 | (251) $false % 20.87/5.44 | % 20.87/5.44 |-The branch is then unsatisfiable % 20.87/5.44 |-Branch two: % 20.87/5.44 | (3509) all_0_63_63 = e2 & ~ (all_0_62_62 = e1) % 20.87/5.44 | % 20.87/5.44 | Applying alpha-rule on (3509) yields: % 20.87/5.44 | (573) all_0_63_63 = e2 % 20.87/5.44 | (632) ~ (all_0_62_62 = e1) % 20.87/5.44 | % 20.87/5.44 | Equations (573) can reduce 366 to: % 20.87/5.44 | (251) $false % 20.87/5.44 | % 20.87/5.44 |-The branch is then unsatisfiable % 20.87/5.44 |-Branch two: % 20.87/5.44 | (3514) all_0_68_68 = e2 & ~ (all_0_70_70 = e4) % 20.87/5.44 | % 20.87/5.44 | Applying alpha-rule on (3514) yields: % 20.87/5.44 | (729) all_0_68_68 = e2 % 20.87/5.44 | (567) ~ (all_0_70_70 = e4) % 20.87/5.44 | % 20.87/5.44 | Equations (729) can reduce 987 to: % 20.87/5.44 | (251) $false % 20.87/5.44 | % 20.87/5.44 |-The branch is then unsatisfiable % 20.87/5.44 |-Branch two: % 20.87/5.44 | (3519) all_0_69_69 = e2 & ~ (all_0_70_70 = e3) % 20.87/5.44 | % 20.87/5.44 | Applying alpha-rule on (3519) yields: % 20.87/5.44 | (344) all_0_69_69 = e2 % 20.87/5.44 | (397) ~ (all_0_70_70 = e3) % 20.87/5.44 | % 20.87/5.44 | Equations (597) can reduce 397 to: % 20.87/5.44 | (251) $false % 20.87/5.44 | % 20.87/5.44 |-The branch is then unsatisfiable % 20.87/5.44 |-Branch two: % 20.87/5.44 | (1457) ~ (all_0_66_66 = e0) % 20.87/5.44 | (1458) all_0_67_67 = e0 % 20.87/5.44 | % 20.87/5.44 | Combining equations (380,1458) yields a new equation: % 20.87/5.44 | (390) e3 = e0 % 20.87/5.44 | % 20.87/5.44 | Simplifying 390 yields: % 20.87/5.44 | (391) e3 = e0 % 20.87/5.44 | % 20.87/5.44 | Equations (391) can reduce 36 to: % 20.87/5.44 | (251) $false % 20.87/5.44 | % 20.87/5.44 |-The branch is then unsatisfiable % 20.87/5.44 |-Branch two: % 20.87/5.44 | (920) ~ (all_0_62_62 = e4) % 20.87/5.44 | (2296) all_0_66_66 = e4 | all_0_70_70 = e4 % 20.87/5.44 | % 20.87/5.44 +-Applying beta-rule and splitting (2296), into two cases. % 20.87/5.44 |-Branch one: % 20.87/5.44 | (530) all_0_66_66 = e4 % 20.87/5.44 | % 20.87/5.44 | Equations (530) can reduce 534 to: % 20.87/5.44 | (251) $false % 20.87/5.44 | % 20.87/5.44 |-The branch is then unsatisfiable % 20.87/5.44 |-Branch two: % 20.87/5.44 | (534) ~ (all_0_66_66 = e4) % 20.87/5.44 | (500) all_0_70_70 = e4 % 20.87/5.44 | % 20.87/5.44 | Combining equations (500,597) yields a new equation: % 20.87/5.44 | (1463) e4 = e3 % 20.87/5.44 | % 20.87/5.44 | Simplifying 1463 yields: % 20.87/5.44 | (935) e4 = e3 % 20.87/5.44 | % 20.87/5.44 | Equations (935) can reduce 130 to: % 20.87/5.44 | (251) $false % 20.87/5.44 | % 20.87/5.44 |-The branch is then unsatisfiable % 20.87/5.44 |-Branch two: % 20.87/5.44 | (1246) ~ (all_0_65_65 = e4) % 20.87/5.44 | (1802) all_0_65_65 = e1 | all_0_65_65 = e0 % 20.87/5.44 | % 20.87/5.44 +-Applying beta-rule and splitting (1802), into two cases. % 20.87/5.44 |-Branch one: % 20.87/5.44 | (619) all_0_65_65 = e1 % 20.87/5.44 | % 20.87/5.44 | Equations (619) can reduce 308 to: % 20.87/5.44 | (251) $false % 20.87/5.44 | % 20.87/5.44 |-The branch is then unsatisfiable % 20.87/5.44 |-Branch two: % 20.87/5.44 | (308) ~ (all_0_65_65 = e1) % 20.87/5.44 | (1448) all_0_65_65 = e0 % 20.87/5.44 | % 20.87/5.44 | Equations (1448) can reduce 91 to: % 20.87/5.44 | (1147) ~ (all_0_57_57 = e0) % 20.87/5.44 | % 20.87/5.44 | Equations (1448) can reduce 66 to: % 20.87/5.44 | (1601) ~ (all_0_66_66 = e0) % 20.87/5.44 | % 20.87/5.44 | Simplifying 1601 yields: % 20.87/5.44 | (1457) ~ (all_0_66_66 = e0) % 20.87/5.44 | % 20.87/5.44 | Equations (1448) can reduce 75 to: % 20.87/5.44 | (272) ~ (e3 = e0) % 20.87/5.44 | % 20.87/5.44 | Simplifying 272 yields: % 20.87/5.44 | (36) ~ (e3 = e0) % 20.87/5.44 | % 20.87/5.44 | Equations (1448) can reduce 308 to: % 20.87/5.44 | (276) ~ (e1 = e0) % 20.87/5.44 | % 20.87/5.44 | Simplifying 276 yields: % 20.87/5.44 | (204) ~ (e1 = e0) % 20.87/5.44 | % 20.87/5.44 +-Applying beta-rule and splitting (201), into two cases. % 20.87/5.44 |-Branch one: % 20.87/5.44 | (335) all_0_57_57 = e2 % 20.87/5.44 | % 20.87/5.44 | Equations (335) can reduce 233 to: % 20.87/5.44 | (1160) ~ (all_0_59_59 = e2) % 20.87/5.44 | % 20.87/5.44 | Simplifying 1160 yields: % 20.87/5.44 | (1029) ~ (all_0_59_59 = e2) % 20.87/5.44 | % 20.87/5.44 +-Applying beta-rule and splitting (142), into two cases. % 20.87/5.44 |-Branch one: % 20.87/5.44 | (1060) all_0_58_58 = e0 % 20.87/5.44 | % 20.87/5.44 | Combining equations (1060,323) yields a new equation: % 20.87/5.44 | (288) e1 = e0 % 20.87/5.44 | % 20.87/5.44 | Equations (288) can reduce 204 to: % 20.87/5.44 | (251) $false % 20.87/5.44 | % 20.87/5.44 |-The branch is then unsatisfiable % 20.87/5.44 |-Branch two: % 20.87/5.44 | (263) ~ (all_0_58_58 = e0) % 20.87/5.44 | (2059) all_0_62_62 = e0 | all_0_66_66 = e0 | all_0_70_70 = e0 % 20.87/5.44 | % 20.87/5.44 +-Applying beta-rule and splitting (2059), into two cases. % 20.87/5.44 |-Branch one: % 20.87/5.44 | (925) all_0_62_62 = e0 % 20.87/5.44 | % 20.87/5.45 | Equations (925) can reduce 168 to: % 20.87/5.45 | (267) ~ (all_0_60_60 = e0) % 20.87/5.45 | % 20.87/5.45 | Equations (925) can reduce 135 to: % 20.87/5.45 | (1601) ~ (all_0_66_66 = e0) % 20.87/5.45 | % 20.87/5.45 | Simplifying 1601 yields: % 20.87/5.45 | (1457) ~ (all_0_66_66 = e0) % 20.87/5.45 | % 20.87/5.45 +-Applying beta-rule and splitting (58), into two cases. % 20.87/5.45 |-Branch one: % 20.87/5.45 | (375) all_0_59_59 = e3 % 20.87/5.45 | % 20.87/5.45 | Equations (375) can reduce 378 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (378) ~ (all_0_59_59 = e3) % 20.87/5.45 | (1073) all_0_59_59 = e2 | all_0_59_59 = e0 % 20.87/5.45 | % 20.87/5.45 +-Applying beta-rule and splitting (68), into two cases. % 20.87/5.45 |-Branch one: % 20.87/5.45 | (278) all_0_60_60 = e2 % 20.87/5.45 | % 20.87/5.45 | Equations (278) can reduce 76 to: % 20.87/5.45 | (365) ~ (all_0_63_63 = e2) % 20.87/5.45 | % 20.87/5.45 | Simplifying 365 yields: % 20.87/5.45 | (366) ~ (all_0_63_63 = e2) % 20.87/5.45 | % 20.87/5.45 +-Applying beta-rule and splitting (1073), into two cases. % 20.87/5.45 |-Branch one: % 20.87/5.45 | (364) all_0_59_59 = e2 % 20.87/5.45 | % 20.87/5.45 | Equations (364) can reduce 1029 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (1029) ~ (all_0_59_59 = e2) % 20.87/5.45 | (1077) all_0_59_59 = e0 % 20.87/5.45 | % 20.87/5.45 | Equations (1077) can reduce 1029 to: % 20.87/5.45 | (274) ~ (e2 = e0) % 20.87/5.45 | % 20.87/5.45 | Simplifying 274 yields: % 20.87/5.45 | (48) ~ (e2 = e0) % 20.87/5.45 | % 20.87/5.45 +-Applying beta-rule and splitting (23), into two cases. % 20.87/5.45 |-Branch one: % 20.87/5.45 | (530) all_0_66_66 = e4 % 20.87/5.45 | % 20.87/5.45 +-Applying beta-rule and splitting (147), into two cases. % 20.87/5.45 |-Branch one: % 20.87/5.45 | (364) all_0_59_59 = e2 % 20.87/5.45 | % 20.87/5.45 | Combining equations (1077,364) yields a new equation: % 20.87/5.45 | (355) e2 = e0 % 20.87/5.45 | % 20.87/5.45 | Equations (355) can reduce 48 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (1029) ~ (all_0_59_59 = e2) % 20.87/5.45 | (1303) all_0_63_63 = e2 | all_0_71_71 = e2 % 20.87/5.45 | % 20.87/5.45 +-Applying beta-rule and splitting (1303), into two cases. % 20.87/5.45 |-Branch one: % 20.87/5.45 | (573) all_0_63_63 = e2 % 20.87/5.45 | % 20.87/5.45 | Equations (573) can reduce 366 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (366) ~ (all_0_63_63 = e2) % 20.87/5.45 | (563) all_0_71_71 = e2 % 20.87/5.45 | % 20.87/5.45 +-Applying beta-rule and splitting (107), into two cases. % 20.87/5.45 |-Branch one: % 20.87/5.45 | (2384) ( ~ (all_0_56_56 = e3) & ~ (all_0_66_66 = e3) & ~ (all_0_71_71 = e3)) | ( ~ (all_0_56_56 = e2) & ~ (all_0_61_61 = e2) & ~ (all_0_71_71 = e2)) | ( ~ (all_0_56_56 = e1) & ~ (all_0_61_61 = e1) & ~ (all_0_66_66 = e1)) % 20.87/5.45 | % 20.87/5.45 +-Applying beta-rule and splitting (2384), into two cases. % 20.87/5.45 |-Branch one: % 20.87/5.45 | (2385) ( ~ (all_0_56_56 = e3) & ~ (all_0_66_66 = e3) & ~ (all_0_71_71 = e3)) | ( ~ (all_0_56_56 = e2) & ~ (all_0_61_61 = e2) & ~ (all_0_71_71 = e2)) % 20.87/5.45 | % 20.87/5.45 +-Applying beta-rule and splitting (2385), into two cases. % 20.87/5.45 |-Branch one: % 20.87/5.45 | (2386) ~ (all_0_56_56 = e3) & ~ (all_0_66_66 = e3) & ~ (all_0_71_71 = e3) % 20.87/5.45 | % 20.87/5.45 | Applying alpha-rule on (2386) yields: % 20.87/5.45 | (249) ~ (all_0_56_56 = e3) % 20.87/5.45 | (542) ~ (all_0_66_66 = e3) % 20.87/5.45 | (297) ~ (all_0_71_71 = e3) % 20.87/5.45 | % 20.87/5.45 | Equations (250) can reduce 249 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (2391) ~ (all_0_56_56 = e2) & ~ (all_0_61_61 = e2) & ~ (all_0_71_71 = e2) % 20.87/5.45 | % 20.87/5.45 | Applying alpha-rule on (2391) yields: % 20.87/5.45 | (247) ~ (all_0_56_56 = e2) % 20.87/5.45 | (244) ~ (all_0_61_61 = e2) % 20.87/5.45 | (370) ~ (all_0_71_71 = e2) % 20.87/5.45 | % 20.87/5.45 | Equations (563) can reduce 370 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (2396) ~ (all_0_56_56 = e1) & ~ (all_0_61_61 = e1) & ~ (all_0_66_66 = e1) % 20.87/5.45 | % 20.87/5.45 | Applying alpha-rule on (2396) yields: % 20.87/5.45 | (245) ~ (all_0_56_56 = e1) % 20.87/5.45 | (246) ~ (all_0_61_61 = e1) % 20.87/5.45 | (248) ~ (all_0_66_66 = e1) % 20.87/5.45 | % 20.87/5.45 | Equations (523) can reduce 246 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (2401) ~ (all_0_61_61 = e4) & ~ (all_0_66_66 = e4) & ~ (all_0_71_71 = e4) % 20.87/5.45 | % 20.87/5.45 | Applying alpha-rule on (2401) yields: % 20.87/5.45 | (512) ~ (all_0_61_61 = e4) % 20.87/5.45 | (534) ~ (all_0_66_66 = e4) % 20.87/5.45 | (556) ~ (all_0_71_71 = e4) % 20.87/5.45 | % 20.87/5.45 | Equations (530) can reduce 534 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (534) ~ (all_0_66_66 = e4) % 20.87/5.45 | (1614) all_0_66_66 = e3 | all_0_66_66 = e1 | all_0_66_66 = e0 % 20.87/5.45 | % 20.87/5.45 +-Applying beta-rule and splitting (1614), into two cases. % 20.87/5.45 |-Branch one: % 20.87/5.45 | (538) all_0_66_66 = e3 % 20.87/5.45 | % 20.87/5.45 | Equations (538) can reduce 542 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (542) ~ (all_0_66_66 = e3) % 20.87/5.45 | (1761) all_0_66_66 = e1 | all_0_66_66 = e0 % 20.87/5.45 | % 20.87/5.45 +-Applying beta-rule and splitting (1761), into two cases. % 20.87/5.45 |-Branch one: % 20.87/5.45 | (546) all_0_66_66 = e1 % 20.87/5.45 | % 20.87/5.45 | Equations (546) can reduce 248 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (248) ~ (all_0_66_66 = e1) % 20.87/5.45 | (468) all_0_66_66 = e0 % 20.87/5.45 | % 20.87/5.45 | Equations (468) can reduce 1457 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (666) ~ (all_0_60_60 = e2) % 20.87/5.45 | (667) all_0_60_60 = e1 | all_0_60_60 = e0 % 20.87/5.45 | % 20.87/5.45 +-Applying beta-rule and splitting (667), into two cases. % 20.87/5.45 |-Branch one: % 20.87/5.45 | (647) all_0_60_60 = e1 % 20.87/5.45 | % 20.87/5.45 | Equations (647) can reduce 651 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (651) ~ (all_0_60_60 = e1) % 20.87/5.45 | (1119) all_0_60_60 = e0 % 20.87/5.45 | % 20.87/5.45 | Equations (1119) can reduce 267 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (838) ~ (all_0_62_62 = e0) % 20.87/5.45 | (2086) all_0_66_66 = e0 | all_0_70_70 = e0 % 20.87/5.45 | % 20.87/5.45 +-Applying beta-rule and splitting (2086), into two cases. % 20.87/5.45 |-Branch one: % 20.87/5.45 | (468) all_0_66_66 = e0 % 20.87/5.45 | % 20.87/5.45 | Equations (468) can reduce 1457 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (1457) ~ (all_0_66_66 = e0) % 20.87/5.45 | (1323) all_0_70_70 = e0 % 20.87/5.45 | % 20.87/5.45 | Combining equations (1323,597) yields a new equation: % 20.87/5.45 | (391) e3 = e0 % 20.87/5.45 | % 20.87/5.45 | Equations (391) can reduce 36 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (339) ~ (all_0_57_57 = e2) % 20.87/5.45 | (991) all_0_57_57 = e1 | all_0_57_57 = e0 % 20.87/5.45 | % 20.87/5.45 +-Applying beta-rule and splitting (991), into two cases. % 20.87/5.45 |-Branch one: % 20.87/5.45 | (313) all_0_57_57 = e1 % 20.87/5.45 | % 20.87/5.45 | Equations (313) can reduce 635 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (635) ~ (all_0_57_57 = e1) % 20.87/5.45 | (1840) all_0_57_57 = e0 % 20.87/5.45 | % 20.87/5.45 | Equations (1840) can reduce 1147 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (249) ~ (all_0_56_56 = e3) % 20.87/5.45 | (394) all_0_58_58 = e3 | all_0_59_59 = e3 % 20.87/5.45 | % 20.87/5.45 +-Applying beta-rule and splitting (131), into two cases. % 20.87/5.45 |-Branch one: % 20.87/5.45 | (250) all_0_56_56 = e3 % 20.87/5.45 | % 20.87/5.45 | Equations (250) can reduce 249 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (249) ~ (all_0_56_56 = e3) % 20.87/5.45 | (253) all_0_56_56 = e2 | all_0_56_56 = e1 | all_0_56_56 = e0 % 20.87/5.45 | % 20.87/5.45 +-Applying beta-rule and splitting (253), into two cases. % 20.87/5.45 |-Branch one: % 20.87/5.45 | (254) all_0_56_56 = e2 % 20.87/5.45 | % 20.87/5.45 | Equations (254) can reduce 247 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (247) ~ (all_0_56_56 = e2) % 20.87/5.45 | (257) all_0_56_56 = e1 | all_0_56_56 = e0 % 20.87/5.45 | % 20.87/5.45 +-Applying beta-rule and splitting (257), into two cases. % 20.87/5.45 |-Branch one: % 20.87/5.45 | (258) all_0_56_56 = e1 % 20.87/5.45 | % 20.87/5.45 | Equations (258) can reduce 245 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (245) ~ (all_0_56_56 = e1) % 20.87/5.45 | (261) all_0_56_56 = e0 % 20.87/5.45 | % 20.87/5.45 | Equations (261) can reduce 249 to: % 20.87/5.45 | (272) ~ (e3 = e0) % 20.87/5.45 | % 20.87/5.45 | Simplifying 272 yields: % 20.87/5.45 | (36) ~ (e3 = e0) % 20.87/5.45 | % 20.87/5.45 +-Applying beta-rule and splitting (27), into two cases. % 20.87/5.45 |-Branch one: % 20.87/5.45 | (250) all_0_56_56 = e3 % 20.87/5.45 | % 20.87/5.45 | Combining equations (250,261) yields a new equation: % 20.87/5.45 | (390) e3 = e0 % 20.87/5.45 | % 20.87/5.45 | Simplifying 390 yields: % 20.87/5.45 | (391) e3 = e0 % 20.87/5.45 | % 20.87/5.45 | Equations (391) can reduce 36 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (249) ~ (all_0_56_56 = e3) % 20.87/5.45 | (658) all_0_64_64 = e3 | all_0_68_68 = e3 % 20.87/5.45 | % 20.87/5.45 +-Applying beta-rule and splitting (239), into two cases. % 20.87/5.45 |-Branch one: % 20.87/5.45 | (292) all_0_68_68 = e3 % 20.87/5.45 | % 20.87/5.45 | Equations (292) can reduce 645 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (645) ~ (all_0_68_68 = e3) % 20.87/5.45 | (646) all_0_68_68 = e2 | all_0_68_68 = e0 % 20.87/5.45 | % 20.87/5.45 +-Applying beta-rule and splitting (658), into two cases. % 20.87/5.45 |-Branch one: % 20.87/5.45 | (302) all_0_64_64 = e3 % 20.87/5.45 | % 20.87/5.45 | Combining equations (306,302) yields a new equation: % 20.87/5.45 | (661) e3 = e1 % 20.87/5.45 | % 20.87/5.45 | Equations (661) can reduce 15 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (293) ~ (all_0_64_64 = e3) % 20.87/5.45 | (292) all_0_68_68 = e3 % 20.87/5.45 | % 20.87/5.45 | Equations (292) can reduce 645 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (629) ~ (all_0_67_67 = e3) % 20.87/5.45 | (558) all_0_71_71 = e3 % 20.87/5.45 | % 20.87/5.45 | Equations (558) can reduce 297 to: % 20.87/5.45 | (251) $false % 20.87/5.45 | % 20.87/5.45 |-The branch is then unsatisfiable % 20.87/5.45 |-Branch two: % 20.87/5.45 | (254) all_0_56_56 = e2 % 20.87/5.45 | (534) ~ (all_0_66_66 = e4) % 20.87/5.45 | % 20.87/5.45 | Equations (254) can reduce 114 to: % 20.87/5.45 | (3759) ~ (all_0_60_60 = e2) % 20.87/5.45 | % 20.87/5.45 | Simplifying 3759 yields: % 20.87/5.45 | (666) ~ (all_0_60_60 = e2) % 20.87/5.45 | % 20.87/5.45 | Equations (254) can reduce 51 to: % 20.87/5.45 | (3761) ~ (all_0_68_68 = e2) % 20.87/5.45 | % 20.87/5.45 | Simplifying 3761 yields: % 20.87/5.45 | (987) ~ (all_0_68_68 = e2) % 20.87/5.45 | % 20.87/5.45 | Equations (254) can reduce 245 to: % 20.87/5.45 | (184) ~ (e2 = e1) % 20.87/5.45 | % 20.87/5.46 +-Applying beta-rule and splitting (228), into two cases. % 20.87/5.46 |-Branch one: % 20.87/5.46 | (278) all_0_60_60 = e2 % 20.87/5.46 | % 20.87/5.46 | Equations (278) can reduce 666 to: % 20.87/5.46 | (251) $false % 20.87/5.46 | % 20.87/5.46 |-The branch is then unsatisfiable % 20.87/5.46 |-Branch two: % 20.87/5.46 | (666) ~ (all_0_60_60 = e2) % 20.87/5.46 | (685) all_0_61_61 = e2 | all_0_63_63 = e2 % 20.87/5.46 | % 20.87/5.46 +-Applying beta-rule and splitting (68), into two cases. % 20.87/5.46 |-Branch one: % 20.87/5.46 | (278) all_0_60_60 = e2 % 20.87/5.46 | % 20.87/5.46 | Equations (278) can reduce 666 to: % 20.87/5.46 | (251) $false % 20.87/5.46 | % 20.87/5.46 |-The branch is then unsatisfiable % 20.87/5.46 |-Branch two: % 20.87/5.46 | (666) ~ (all_0_60_60 = e2) % 20.87/5.46 | (667) all_0_60_60 = e1 | all_0_60_60 = e0 % 20.87/5.46 | % 20.87/5.46 +-Applying beta-rule and splitting (685), into two cases. % 20.87/5.46 |-Branch one: % 20.87/5.46 | (341) all_0_61_61 = e2 % 20.87/5.46 | % 20.87/5.46 | Combining equations (523,341) yields a new equation: % 20.87/5.46 | (337) e2 = e1 % 20.87/5.46 | % 20.87/5.46 | Equations (337) can reduce 184 to: % 20.87/5.46 | (251) $false % 20.87/5.46 | % 20.87/5.46 |-The branch is then unsatisfiable % 20.87/5.46 |-Branch two: % 20.87/5.46 | (244) ~ (all_0_61_61 = e2) % 20.87/5.46 | (573) all_0_63_63 = e2 % 20.87/5.46 | % 20.87/5.46 | Equations (573) can reduce 70 to: % 20.87/5.46 | (217) ~ (all_0_62_62 = e2) % 20.87/5.46 | % 20.87/5.46 | Equations (573) can reduce 226 to: % 20.87/5.46 | (369) ~ (all_0_71_71 = e2) % 20.87/5.46 | % 20.87/5.46 | Simplifying 369 yields: % 20.87/5.46 | (370) ~ (all_0_71_71 = e2) % 20.87/5.46 | % 20.87/5.46 | Equations (573) can reduce 220 to: % 20.87/5.46 | (345) ~ (e3 = e2) % 20.87/5.46 | % 20.87/5.46 | Simplifying 345 yields: % 20.87/5.46 | (128) ~ (e3 = e2) % 20.87/5.46 | % 20.87/5.46 +-Applying beta-rule and splitting (209), into two cases. % 20.87/5.46 |-Branch one: % 20.87/5.46 | (250) all_0_56_56 = e3 % 20.87/5.46 | % 20.87/5.46 | Combining equations (254,250) yields a new equation: % 20.87/5.46 | (376) e3 = e2 % 20.87/5.46 | % 20.87/5.46 | Equations (376) can reduce 128 to: % 20.87/5.46 | (251) $false % 20.87/5.46 | % 20.87/5.46 |-The branch is then unsatisfiable % 20.87/5.46 |-Branch two: % 20.87/5.46 | (249) ~ (all_0_56_56 = e3) % 20.87/5.46 | (394) all_0_58_58 = e3 | all_0_59_59 = e3 % 20.87/5.46 | % 20.87/5.46 +-Applying beta-rule and splitting (394), into two cases. % 20.87/5.46 |-Branch one: % 20.87/5.46 | (395) all_0_58_58 = e3 % 20.87/5.46 | % 20.87/5.46 | Combining equations (323,395) yields a new equation: % 20.87/5.46 | (661) e3 = e1 % 20.87/5.46 | % 20.87/5.46 | Equations (661) can reduce 15 to: % 20.87/5.46 | (251) $false % 20.87/5.46 | % 20.87/5.46 |-The branch is then unsatisfiable % 20.87/5.46 |-Branch two: % 20.87/5.46 | (621) ~ (all_0_58_58 = e3) % 20.87/5.46 | (375) all_0_59_59 = e3 % 20.87/5.46 | % 20.87/5.46 | Equations (375) can reduce 233 to: % 20.87/5.46 | (124) ~ (all_0_57_57 = e3) % 20.87/5.46 | % 20.87/5.46 | Equations (375) can reduce 22 to: % 20.87/5.46 | (770) ~ (all_0_67_67 = e3) % 20.87/5.46 | % 20.87/5.46 | Simplifying 770 yields: % 20.87/5.46 | (629) ~ (all_0_67_67 = e3) % 20.87/5.46 | % 20.87/5.46 | Equations (375) can reduce 28 to: % 20.87/5.46 | (296) ~ (all_0_71_71 = e3) % 20.87/5.46 | % 20.87/5.46 | Simplifying 296 yields: % 20.87/5.46 | (297) ~ (all_0_71_71 = e3) % 20.87/5.46 | % 20.87/5.46 | Equations (375) can reduce 171 to: % 20.87/5.46 | (15) ~ (e3 = e1) % 20.87/5.46 | % 20.87/5.46 +-Applying beta-rule and splitting (182), into two cases. % 20.87/5.46 |-Branch one: % 20.87/5.46 | (261) all_0_56_56 = e0 % 20.87/5.46 | % 20.87/5.46 | Combining equations (254,261) yields a new equation: % 20.87/5.46 | (354) e2 = e0 % 20.87/5.46 | % 20.87/5.46 | Simplifying 354 yields: % 20.87/5.46 | (355) e2 = e0 % 20.87/5.46 | % 20.87/5.46 | Equations (355) can reduce 48 to: % 20.87/5.46 | (251) $false % 20.87/5.46 | % 20.87/5.46 |-The branch is then unsatisfiable % 20.87/5.46 |-Branch two: % 20.87/5.46 | (1519) ~ (all_0_56_56 = e0) % 20.87/5.46 | (3803) all_0_57_57 = e0 | all_0_58_58 = e0 | all_0_59_59 = e0 % 20.87/5.46 | % 20.87/5.46 +-Applying beta-rule and splitting (170), into two cases. % 20.87/5.46 |-Branch one: % 20.87/5.46 | (302) all_0_64_64 = e3 % 20.87/5.46 | % 20.87/5.46 | Combining equations (302,306) yields a new equation: % 20.87/5.46 | (660) e3 = e1 % 20.87/5.46 | % 20.87/5.46 | Simplifying 660 yields: % 20.87/5.46 | (661) e3 = e1 % 20.87/5.46 | % 20.87/5.46 | Equations (661) can reduce 15 to: % 20.87/5.46 | (251) $false % 20.87/5.46 | % 20.87/5.46 |-The branch is then unsatisfiable % 20.87/5.46 |-Branch two: % 20.87/5.46 | (293) ~ (all_0_64_64 = e3) % 20.87/5.46 | (1266) all_0_66_66 = e3 | all_0_67_67 = e3 % 20.87/5.46 | % 20.87/5.46 +-Applying beta-rule and splitting (1266), into two cases. % 20.87/5.46 |-Branch one: % 20.87/5.46 | (538) all_0_66_66 = e3 % 20.87/5.46 | % 20.87/5.46 | Equations (538) can reduce 82 to: % 20.87/5.46 | (396) ~ (all_0_70_70 = e3) % 20.87/5.46 | % 20.87/5.46 | Simplifying 396 yields: % 20.87/5.46 | (397) ~ (all_0_70_70 = e3) % 20.87/5.46 | % 20.87/5.46 +-Applying beta-rule and splitting (33), into two cases. % 20.87/5.46 |-Branch one: % 20.87/5.46 | (292) all_0_68_68 = e3 % 20.87/5.46 | % 20.87/5.46 | Equations (292) can reduce 83 to: % 20.87/5.46 | (46) ~ (all_0_60_60 = e3) % 20.87/5.46 | % 20.87/5.46 | Equations (292) can reduce 987 to: % 20.87/5.46 | (128) ~ (e3 = e2) % 20.87/5.46 | % 20.87/5.46 +-Applying beta-rule and splitting (667), into two cases. % 20.87/5.46 |-Branch one: % 20.87/5.46 | (647) all_0_60_60 = e1 % 20.87/5.46 | % 20.87/5.46 | Equations (647) can reduce 651 to: % 20.87/5.46 | (251) $false % 20.87/5.46 | % 20.87/5.46 |-The branch is then unsatisfiable % 20.87/5.46 |-Branch two: % 20.87/5.46 | (651) ~ (all_0_60_60 = e1) % 20.87/5.46 | (1119) all_0_60_60 = e0 % 20.87/5.46 | % 20.87/5.46 | Equations (1119) can reduce 168 to: % 20.87/5.46 | (1149) ~ (all_0_62_62 = e0) % 20.87/5.46 | % 20.87/5.46 | Simplifying 1149 yields: % 20.87/5.46 | (838) ~ (all_0_62_62 = e0) % 20.87/5.46 | % 20.87/5.46 | Equations (1119) can reduce 46 to: % 20.87/5.46 | (272) ~ (e3 = e0) % 20.87/5.46 | % 20.87/5.46 | Simplifying 272 yields: % 20.87/5.46 | (36) ~ (e3 = e0) % 20.87/5.46 | % 20.87/5.46 | Equations (1119) can reduce 651 to: % 20.87/5.46 | (276) ~ (e1 = e0) % 20.87/5.46 | % 20.87/5.46 | Simplifying 276 yields: % 20.87/5.46 | (204) ~ (e1 = e0) % 20.87/5.46 | % 20.87/5.46 +-Applying beta-rule and splitting (53), into two cases. % 20.87/5.46 |-Branch one: % 20.87/5.46 | (845) all_0_62_62 = e4 % 20.87/5.46 | % 20.87/5.46 | Equations (845) can reduce 208 to: % 20.87/5.46 | (1236) ~ (all_0_70_70 = e4) % 20.87/5.46 | % 20.87/5.46 | Simplifying 1236 yields: % 20.87/5.46 | (567) ~ (all_0_70_70 = e4) % 20.87/5.46 | % 20.87/5.46 | Equations (845) can reduce 217 to: % 20.87/5.46 | (49) ~ (e4 = e2) % 20.87/5.46 | % 20.87/5.46 +-Applying beta-rule and splitting (112), into two cases. % 20.87/5.46 |-Branch one: % 20.87/5.46 | (729) all_0_68_68 = e2 % 20.87/5.46 | % 20.87/5.46 | Combining equations (292,729) yields a new equation: % 20.87/5.46 | (1620) e3 = e2 % 20.87/5.46 | % 20.87/5.46 | Simplifying 1620 yields: % 20.87/5.46 | (376) e3 = e2 % 20.87/5.46 | % 20.87/5.46 | Equations (376) can reduce 128 to: % 20.87/5.46 | (251) $false % 20.87/5.46 | % 20.87/5.46 |-The branch is then unsatisfiable % 20.87/5.46 |-Branch two: % 20.87/5.46 | (987) ~ (all_0_68_68 = e2) % 20.87/5.46 | (1570) all_0_69_69 = e2 | all_0_71_71 = e2 % 20.87/5.46 | % 20.87/5.46 +-Applying beta-rule and splitting (3803), into two cases. % 20.87/5.46 |-Branch one: % 20.87/5.46 | (1840) all_0_57_57 = e0 % 20.87/5.46 | % 20.87/5.46 | Equations (1840) can reduce 141 to: % 20.87/5.46 | (514) ~ (e4 = e0) % 20.87/5.46 | % 20.87/5.46 | Simplifying 514 yields: % 20.87/5.46 | (17) ~ (e4 = e0) % 20.87/5.46 | % 20.87/5.46 | Equations (1840) can reduce 124 to: % 20.87/5.46 | (272) ~ (e3 = e0) % 20.87/5.46 | % 20.87/5.46 | Simplifying 272 yields: % 20.87/5.46 | (36) ~ (e3 = e0) % 20.87/5.46 | % 20.87/5.46 | Equations (1840) can reduce 635 to: % 20.87/5.46 | (276) ~ (e1 = e0) % 20.87/5.46 | % 20.87/5.46 | Simplifying 276 yields: % 20.87/5.46 | (204) ~ (e1 = e0) % 20.87/5.46 | % 20.87/5.46 +-Applying beta-rule and splitting (1570), into two cases. % 20.87/5.46 |-Branch one: % 20.87/5.46 | (344) all_0_69_69 = e2 % 20.87/5.46 | % 20.87/5.46 +-Applying beta-rule and splitting (157), into two cases. % 20.87/5.46 |-Branch one: % 20.87/5.46 | (478) all_0_69_69 = e4 % 20.87/5.46 | % 20.87/5.46 | Combining equations (478,344) yields a new equation: % 20.87/5.46 | (479) e4 = e2 % 20.87/5.46 | % 20.87/5.46 | Simplifying 479 yields: % 20.87/5.46 | (480) e4 = e2 % 20.87/5.46 | % 20.87/5.46 | Equations (480) can reduce 49 to: % 20.87/5.46 | (251) $false % 20.87/5.46 | % 20.87/5.46 |-The branch is then unsatisfiable % 20.87/5.46 |-Branch two: % 20.87/5.46 | (482) ~ (all_0_69_69 = e4) % 20.87/5.46 | (483) all_0_70_70 = e4 | all_0_71_71 = e4 % 20.87/5.46 | % 20.87/5.46 +-Applying beta-rule and splitting (142), into two cases. % 20.87/5.46 |-Branch one: % 20.87/5.46 | (1060) all_0_58_58 = e0 % 20.87/5.46 | % 20.87/5.46 | Combining equations (323,1060) yields a new equation: % 20.87/5.46 | (287) e1 = e0 % 20.87/5.46 | % 20.87/5.46 | Simplifying 287 yields: % 20.87/5.46 | (288) e1 = e0 % 20.87/5.46 | % 20.87/5.46 | Equations (288) can reduce 204 to: % 20.87/5.46 | (251) $false % 20.87/5.46 | % 20.87/5.46 |-The branch is then unsatisfiable % 20.87/5.46 |-Branch two: % 20.87/5.46 | (263) ~ (all_0_58_58 = e0) % 20.87/5.46 | (2059) all_0_62_62 = e0 | all_0_66_66 = e0 | all_0_70_70 = e0 % 20.87/5.46 | % 20.87/5.46 +-Applying beta-rule and splitting (2059), into two cases. % 20.87/5.46 |-Branch one: % 20.87/5.46 | (925) all_0_62_62 = e0 % 20.87/5.46 | % 20.87/5.46 | Combining equations (925,845) yields a new equation: % 20.87/5.46 | (510) e4 = e0 % 20.87/5.46 | % 20.87/5.46 | Equations (510) can reduce 17 to: % 20.87/5.46 | (251) $false % 20.87/5.46 | % 20.87/5.46 |-The branch is then unsatisfiable % 20.87/5.46 |-Branch two: % 20.87/5.46 | (838) ~ (all_0_62_62 = e0) % 20.87/5.46 | (2086) all_0_66_66 = e0 | all_0_70_70 = e0 % 20.87/5.46 | % 20.87/5.46 +-Applying beta-rule and splitting (2086), into two cases. % 20.87/5.46 |-Branch one: % 20.87/5.46 | (468) all_0_66_66 = e0 % 20.87/5.46 | % 20.87/5.46 | Combining equations (538,468) yields a new equation: % 20.87/5.46 | (390) e3 = e0 % 20.87/5.46 | % 20.87/5.46 | Simplifying 390 yields: % 20.87/5.46 | (391) e3 = e0 % 20.87/5.46 | % 20.87/5.46 | Equations (391) can reduce 36 to: % 20.87/5.46 | (251) $false % 20.87/5.46 | % 20.87/5.46 |-The branch is then unsatisfiable % 20.87/5.46 |-Branch two: % 20.87/5.46 | (1457) ~ (all_0_66_66 = e0) % 20.87/5.46 | (1323) all_0_70_70 = e0 % 20.87/5.46 | % 20.87/5.46 | Equations (1323) can reduce 567 to: % 20.87/5.46 | (514) ~ (e4 = e0) % 20.87/5.46 | % 20.87/5.46 | Simplifying 514 yields: % 20.87/5.46 | (17) ~ (e4 = e0) % 20.87/5.46 | % 20.87/5.46 +-Applying beta-rule and splitting (107), into two cases. % 20.87/5.46 |-Branch one: % 20.87/5.46 | (2384) ( ~ (all_0_56_56 = e3) & ~ (all_0_66_66 = e3) & ~ (all_0_71_71 = e3)) | ( ~ (all_0_56_56 = e2) & ~ (all_0_61_61 = e2) & ~ (all_0_71_71 = e2)) | ( ~ (all_0_56_56 = e1) & ~ (all_0_61_61 = e1) & ~ (all_0_66_66 = e1)) % 20.87/5.46 | % 20.87/5.46 +-Applying beta-rule and splitting (2384), into two cases. % 20.87/5.46 |-Branch one: % 20.87/5.46 | (2385) ( ~ (all_0_56_56 = e3) & ~ (all_0_66_66 = e3) & ~ (all_0_71_71 = e3)) | ( ~ (all_0_56_56 = e2) & ~ (all_0_61_61 = e2) & ~ (all_0_71_71 = e2)) % 20.87/5.46 | % 20.87/5.46 +-Applying beta-rule and splitting (2385), into two cases. % 20.87/5.46 |-Branch one: % 20.87/5.46 | (2386) ~ (all_0_56_56 = e3) & ~ (all_0_66_66 = e3) & ~ (all_0_71_71 = e3) % 20.87/5.46 | % 20.87/5.46 | Applying alpha-rule on (2386) yields: % 20.87/5.46 | (249) ~ (all_0_56_56 = e3) % 20.87/5.46 | (542) ~ (all_0_66_66 = e3) % 20.87/5.46 | (297) ~ (all_0_71_71 = e3) % 20.87/5.46 | % 20.87/5.46 | Equations (538) can reduce 542 to: % 20.87/5.46 | (251) $false % 20.87/5.46 | % 20.87/5.46 |-The branch is then unsatisfiable % 20.87/5.46 |-Branch two: % 20.87/5.46 | (2391) ~ (all_0_56_56 = e2) & ~ (all_0_61_61 = e2) & ~ (all_0_71_71 = e2) % 20.87/5.46 | % 20.87/5.46 | Applying alpha-rule on (2391) yields: % 20.87/5.46 | (247) ~ (all_0_56_56 = e2) % 20.87/5.46 | (244) ~ (all_0_61_61 = e2) % 20.87/5.46 | (370) ~ (all_0_71_71 = e2) % 20.87/5.46 | % 20.87/5.46 | Equations (254) can reduce 247 to: % 20.87/5.46 | (251) $false % 20.87/5.46 | % 20.87/5.46 |-The branch is then unsatisfiable % 20.87/5.46 |-Branch two: % 20.87/5.46 | (2396) ~ (all_0_56_56 = e1) & ~ (all_0_61_61 = e1) & ~ (all_0_66_66 = e1) % 20.87/5.46 | % 20.87/5.46 | Applying alpha-rule on (2396) yields: % 20.87/5.46 | (245) ~ (all_0_56_56 = e1) % 20.87/5.46 | (246) ~ (all_0_61_61 = e1) % 20.87/5.46 | (248) ~ (all_0_66_66 = e1) % 20.87/5.46 | % 20.87/5.46 | Equations (523) can reduce 246 to: % 20.87/5.46 | (251) $false % 20.87/5.46 | % 20.87/5.46 |-The branch is then unsatisfiable % 20.87/5.46 |-Branch two: % 20.87/5.46 | (2401) ~ (all_0_61_61 = e4) & ~ (all_0_66_66 = e4) & ~ (all_0_71_71 = e4) % 20.87/5.46 | % 20.87/5.46 | Applying alpha-rule on (2401) yields: % 20.87/5.46 | (512) ~ (all_0_61_61 = e4) % 20.87/5.46 | (534) ~ (all_0_66_66 = e4) % 20.87/5.46 | (556) ~ (all_0_71_71 = e4) % 20.87/5.46 | % 20.87/5.46 +-Applying beta-rule and splitting (483), into two cases. % 20.87/5.46 |-Branch one: % 20.87/5.46 | (500) all_0_70_70 = e4 % 20.87/5.46 | % 20.87/5.46 | Combining equations (500,1323) yields a new equation: % 20.87/5.46 | (531) e4 = e0 % 20.87/5.46 | % 20.87/5.46 | Simplifying 531 yields: % 20.87/5.46 | (510) e4 = e0 % 20.87/5.46 | % 20.87/5.46 | Equations (510) can reduce 17 to: % 20.87/5.46 | (251) $false % 20.87/5.46 | % 20.87/5.46 |-The branch is then unsatisfiable % 20.87/5.46 |-Branch two: % 20.87/5.46 | (567) ~ (all_0_70_70 = e4) % 20.87/5.46 | (552) all_0_71_71 = e4 % 20.87/5.46 | % 20.87/5.46 | Equations (552) can reduce 556 to: % 20.87/5.46 | (251) $false % 20.87/5.46 | % 20.87/5.46 |-The branch is then unsatisfiable % 21.12/5.46 |-Branch two: % 21.12/5.46 | (731) ~ (all_0_69_69 = e2) % 21.12/5.46 | (563) all_0_71_71 = e2 % 21.12/5.46 | % 21.12/5.46 | Equations (563) can reduce 370 to: % 21.12/5.46 | (251) $false % 21.12/5.46 | % 21.12/5.46 |-The branch is then unsatisfiable % 21.12/5.46 |-Branch two: % 21.12/5.46 | (1147) ~ (all_0_57_57 = e0) % 21.12/5.46 | (3901) all_0_58_58 = e0 | all_0_59_59 = e0 % 21.12/5.46 | % 21.12/5.46 +-Applying beta-rule and splitting (3901), into two cases. % 21.12/5.46 |-Branch one: % 21.12/5.46 | (1060) all_0_58_58 = e0 % 21.12/5.46 | % 21.12/5.46 | Combining equations (323,1060) yields a new equation: % 21.12/5.46 | (287) e1 = e0 % 21.12/5.46 | % 21.12/5.46 | Simplifying 287 yields: % 21.12/5.46 | (288) e1 = e0 % 21.12/5.46 | % 21.12/5.46 | Equations (288) can reduce 204 to: % 21.12/5.46 | (251) $false % 21.12/5.46 | % 21.12/5.46 |-The branch is then unsatisfiable % 21.12/5.46 |-Branch two: % 21.12/5.46 | (263) ~ (all_0_58_58 = e0) % 21.12/5.46 | (1077) all_0_59_59 = e0 % 21.12/5.46 | % 21.12/5.47 | Combining equations (375,1077) yields a new equation: % 21.12/5.47 | (390) e3 = e0 % 21.12/5.47 | % 21.12/5.47 | Simplifying 390 yields: % 21.12/5.47 | (391) e3 = e0 % 21.12/5.47 | % 21.12/5.47 | Equations (391) can reduce 36 to: % 21.12/5.47 | (251) $false % 21.12/5.47 | % 21.12/5.47 |-The branch is then unsatisfiable % 21.12/5.47 |-Branch two: % 21.12/5.47 | (920) ~ (all_0_62_62 = e4) % 21.12/5.47 | (921) all_0_62_62 = e1 | all_0_62_62 = e0 % 21.12/5.47 | % 21.12/5.47 +-Applying beta-rule and splitting (921), into two cases. % 21.12/5.47 |-Branch one: % 21.12/5.47 | (327) all_0_62_62 = e1 % 21.12/5.47 | % 21.12/5.47 | Equations (327) can reduce 632 to: % 21.12/5.47 | (251) $false % 21.12/5.47 | % 21.12/5.47 |-The branch is then unsatisfiable % 21.12/5.47 |-Branch two: % 21.12/5.47 | (632) ~ (all_0_62_62 = e1) % 21.12/5.47 | (925) all_0_62_62 = e0 % 21.12/5.47 | % 21.12/5.47 | Equations (925) can reduce 838 to: % 21.12/5.47 | (251) $false % 21.12/5.47 | % 21.12/5.47 |-The branch is then unsatisfiable % 21.12/5.47 |-Branch two: % 21.12/5.47 | (645) ~ (all_0_68_68 = e3) % 21.12/5.47 | (1050) all_0_70_70 = e3 | all_0_71_71 = e3 % 21.12/5.47 | % 21.12/5.47 +-Applying beta-rule and splitting (1050), into two cases. % 21.12/5.47 |-Branch one: % 21.12/5.47 | (597) all_0_70_70 = e3 % 21.12/5.47 | % 21.12/5.47 | Equations (597) can reduce 397 to: % 21.12/5.47 | (251) $false % 21.12/5.47 | % 21.12/5.47 |-The branch is then unsatisfiable % 21.12/5.47 |-Branch two: % 21.12/5.47 | (397) ~ (all_0_70_70 = e3) % 21.12/5.47 | (558) all_0_71_71 = e3 % 21.12/5.47 | % 21.12/5.47 | Equations (558) can reduce 297 to: % 21.12/5.47 | (251) $false % 21.12/5.47 | % 21.12/5.47 |-The branch is then unsatisfiable % 21.12/5.47 |-Branch two: % 21.12/5.47 | (542) ~ (all_0_66_66 = e3) % 21.12/5.47 | (380) all_0_67_67 = e3 % 21.12/5.47 | % 21.12/5.47 | Equations (380) can reduce 629 to: % 21.12/5.47 | (251) $false % 21.12/5.47 | % 21.12/5.47 |-The branch is then unsatisfiable % 21.12/5.47 |-Branch two: % 21.12/5.47 | (258) all_0_56_56 = e1 % 21.12/5.47 | (556) ~ (all_0_71_71 = e4) % 21.12/5.47 | % 21.12/5.47 | Equations (258) can reduce 50 to: % 21.12/5.47 | (3930) ~ (all_0_57_57 = e1) % 21.12/5.47 | % 21.12/5.47 | Simplifying 3930 yields: % 21.12/5.47 | (635) ~ (all_0_57_57 = e1) % 21.12/5.47 | % 21.12/5.47 | Equations (258) can reduce 43 to: % 21.12/5.47 | (314) ~ (all_0_58_58 = e1) % 21.12/5.47 | % 21.12/5.47 | Simplifying 314 yields: % 21.12/5.47 | (315) ~ (all_0_58_58 = e1) % 21.12/5.47 | % 21.12/5.47 | Equations (258) can reduce 154 to: % 21.12/5.47 | (1850) ~ (all_0_59_59 = e1) % 21.12/5.47 | % 21.12/5.47 | Simplifying 1850 yields: % 21.12/5.47 | (171) ~ (all_0_59_59 = e1) % 21.12/5.47 | % 21.12/5.47 | Equations (258) can reduce 51 to: % 21.12/5.47 | (675) ~ (all_0_68_68 = e1) % 21.12/5.47 | % 21.12/5.47 | Simplifying 675 yields: % 21.12/5.47 | (108) ~ (all_0_68_68 = e1) % 21.12/5.47 | % 21.12/5.47 | Equations (258) can reduce 92 to: % 21.12/5.47 | (2010) ~ (e4 = e1) % 21.12/5.47 | % 21.12/5.47 | Simplifying 2010 yields: % 21.12/5.47 | (193) ~ (e4 = e1) % 21.12/5.47 | % 21.12/5.47 +-Applying beta-rule and splitting (80), into two cases. % 21.12/5.47 |-Branch one: % 21.12/5.47 | (248) ~ (all_0_66_66 = e1) % 21.12/5.47 | % 21.12/5.47 +-Applying beta-rule and splitting (210), into two cases. % 21.12/5.47 |-Branch one: % 21.12/5.47 | (323) all_0_58_58 = e1 % 21.12/5.47 | % 21.12/5.47 | Equations (323) can reduce 315 to: % 21.12/5.47 | (251) $false % 21.12/5.47 | % 21.12/5.47 |-The branch is then unsatisfiable % 21.12/5.47 |-Branch two: % 21.12/5.47 | (315) ~ (all_0_58_58 = e1) % 21.12/5.47 | (326) all_0_62_62 = e1 | all_0_66_66 = e1 % 21.12/5.47 | % 21.12/5.47 +-Applying beta-rule and splitting (326), into two cases. % 21.12/5.47 |-Branch one: % 21.12/5.47 | (327) all_0_62_62 = e1 % 21.12/5.47 | % 21.12/5.47 | Equations (327) can reduce 180 to: % 21.12/5.47 | (315) ~ (all_0_58_58 = e1) % 21.12/5.47 | % 21.12/5.47 | Equations (327) can reduce 168 to: % 21.12/5.47 | (651) ~ (all_0_60_60 = e1) % 21.12/5.47 | % 21.12/5.47 | Equations (327) can reduce 189 to: % 21.12/5.47 | (246) ~ (all_0_61_61 = e1) % 21.12/5.47 | % 21.12/5.47 | Equations (327) can reduce 70 to: % 21.12/5.47 | (671) ~ (all_0_63_63 = e1) % 21.12/5.47 | % 21.12/5.47 | Simplifying 671 yields: % 21.12/5.47 | (119) ~ (all_0_63_63 = e1) % 21.12/5.47 | % 21.12/5.47 | Equations (327) can reduce 208 to: % 21.12/5.47 | (716) ~ (all_0_70_70 = e1) % 21.12/5.47 | % 21.12/5.47 | Simplifying 716 yields: % 21.12/5.47 | (93) ~ (all_0_70_70 = e1) % 21.12/5.47 | % 21.12/5.47 | From (327) and (97) follows: % 21.12/5.47 | (332) op(e3, e1) = all_0_45_45 % 21.12/5.47 | % 21.12/5.47 +-Applying beta-rule and splitting (230), into two cases. % 21.12/5.47 |-Branch one: % 21.12/5.47 | (313) all_0_57_57 = e1 % 21.12/5.47 | % 21.12/5.47 | Equations (313) can reduce 635 to: % 21.12/5.47 | (251) $false % 21.12/5.47 | % 21.12/5.47 |-The branch is then unsatisfiable % 21.12/5.47 |-Branch two: % 21.12/5.47 | (635) ~ (all_0_57_57 = e1) % 21.12/5.47 | (636) all_0_61_61 = e1 | all_0_65_65 = e1 % 21.12/5.47 | % 21.12/5.47 +-Applying beta-rule and splitting (636), into two cases. % 21.12/5.47 |-Branch one: % 21.12/5.47 | (523) all_0_61_61 = e1 % 21.12/5.47 | % 21.12/5.47 | Equations (523) can reduce 246 to: % 21.12/5.47 | (251) $false % 21.12/5.47 | % 21.12/5.47 |-The branch is then unsatisfiable % 21.12/5.47 |-Branch two: % 21.12/5.47 | (246) ~ (all_0_61_61 = e1) % 21.12/5.47 | (619) all_0_65_65 = e1 % 21.12/5.47 | % 21.12/5.47 | Equations (619) can reduce 91 to: % 21.12/5.47 | (635) ~ (all_0_57_57 = e1) % 21.12/5.47 | % 21.12/5.47 | Equations (619) can reduce 176 to: % 21.12/5.47 | (246) ~ (all_0_61_61 = e1) % 21.12/5.47 | % 21.12/5.47 | Equations (619) can reduce 191 to: % 21.12/5.47 | (642) ~ (all_0_64_64 = e1) % 21.12/5.47 | % 21.12/5.47 | Equations (619) can reduce 66 to: % 21.12/5.47 | (309) ~ (all_0_66_66 = e1) % 21.12/5.47 | % 21.12/5.47 | Simplifying 309 yields: % 21.12/5.47 | (248) ~ (all_0_66_66 = e1) % 21.12/5.47 | % 21.12/5.47 | Equations (619) can reduce 164 to: % 21.12/5.47 | (1509) ~ (all_0_67_67 = e1) % 21.12/5.47 | % 21.12/5.47 | Simplifying 1509 yields: % 21.12/5.47 | (19) ~ (all_0_67_67 = e1) % 21.12/5.47 | % 21.12/5.47 | Equations (619) can reduce 73 to: % 21.12/5.47 | (318) ~ (all_0_69_69 = e1) % 21.12/5.47 | % 21.12/5.47 | Simplifying 318 yields: % 21.12/5.47 | (156) ~ (all_0_69_69 = e1) % 21.12/5.47 | % 21.12/5.47 | Equations (619) can reduce 75 to: % 21.12/5.47 | (736) ~ (e3 = e1) % 21.12/5.47 | % 21.12/5.47 | Simplifying 736 yields: % 21.12/5.47 | (15) ~ (e3 = e1) % 21.12/5.47 | % 21.12/5.47 | Equations (619) can reduce 101 to: % 21.12/5.47 | (328) ~ (e2 = e1) % 21.12/5.47 | % 21.12/5.47 | Simplifying 328 yields: % 21.12/5.47 | (184) ~ (e2 = e1) % 21.12/5.47 | % 21.12/5.47 | From (619) and (21) follows: % 21.12/5.47 | (740) op(e3, e1) = all_0_38_38 % 21.12/5.47 | % 21.12/5.47 | From (619) and (6) follows: % 21.12/5.47 | (742) op(e2, e3) = e1 % 21.12/5.47 | % 21.12/5.47 | Instantiating formula (61) with e3, e1, all_0_38_38, all_0_63_63 and discharging atoms op(e3, e1) = all_0_38_38, op(e3, e1) = all_0_63_63, yields: % 21.12/5.47 | (3977) all_0_38_38 = all_0_63_63 % 21.12/5.47 | % 21.12/5.47 | Instantiating formula (61) with e3, e1, all_0_45_45, all_0_38_38 and discharging atoms op(e3, e1) = all_0_38_38, op(e3, e1) = all_0_45_45, yields: % 21.12/5.47 | (3978) all_0_38_38 = all_0_45_45 % 21.12/5.47 | % 21.12/5.47 | Combining equations (3978,3977) yields a new equation: % 21.12/5.47 | (457) all_0_45_45 = all_0_63_63 % 21.12/5.47 | % 21.12/5.47 | Simplifying 457 yields: % 21.12/5.47 | (458) all_0_45_45 = all_0_63_63 % 21.12/5.47 | % 21.12/5.47 | From (458) and (332) follows: % 21.12/5.47 | (129) op(e3, e1) = all_0_63_63 % 21.12/5.47 | % 21.12/5.47 +-Applying beta-rule and splitting (68), into two cases. % 21.12/5.47 |-Branch one: % 21.12/5.47 | (278) all_0_60_60 = e2 % 21.12/5.47 | % 21.12/5.47 | Equations (278) can reduce 76 to: % 21.12/5.47 | (365) ~ (all_0_63_63 = e2) % 21.12/5.47 | % 21.12/5.47 | Simplifying 365 yields: % 21.12/5.47 | (366) ~ (all_0_63_63 = e2) % 21.12/5.47 | % 21.12/5.47 | Equations (278) can reduce 83 to: % 21.12/5.47 | (3761) ~ (all_0_68_68 = e2) % 21.12/5.47 | % 21.12/5.47 | Simplifying 3761 yields: % 21.12/5.47 | (987) ~ (all_0_68_68 = e2) % 21.12/5.47 | % 21.12/5.47 | Equations (278) can reduce 651 to: % 21.12/5.47 | (184) ~ (e2 = e1) % 21.12/5.47 | % 21.12/5.47 | From (278) and (88) follows: % 21.12/5.47 | (1538) op(e2, e4) = all_0_8_8 % 21.12/5.47 | % 21.12/5.47 | From (278) and (175) follows: % 21.12/5.47 | (284) op(e2, e3) = all_0_7_7 % 21.12/5.47 | % 21.12/5.47 | From (278) and (242) follows: % 21.12/5.47 | (3990) op(e3, e4) = e2 % 21.12/5.47 | % 21.12/5.47 | Instantiating formula (61) with e2, e4, all_0_8_8, all_0_64_64 and discharging atoms op(e2, e4) = all_0_8_8, op(e2, e4) = all_0_64_64, yields: % 21.12/5.47 | (3991) all_0_8_8 = all_0_64_64 % 21.12/5.47 | % 21.12/5.47 | Instantiating formula (61) with e2, e3, all_0_7_7, e1 and discharging atoms op(e2, e3) = all_0_7_7, op(e2, e3) = e1, yields: % 21.12/5.47 | (3992) all_0_7_7 = e1 % 21.12/5.47 | % 21.12/5.47 +-Applying beta-rule and splitting (60), into two cases. % 21.12/5.47 |-Branch one: % 21.12/5.47 | (335) all_0_57_57 = e2 % 21.12/5.47 | % 21.12/5.47 | Equations (335) can reduce 233 to: % 21.12/5.47 | (1160) ~ (all_0_59_59 = e2) % 21.12/5.47 | % 21.12/5.47 | Simplifying 1160 yields: % 21.12/5.47 | (1029) ~ (all_0_59_59 = e2) % 21.12/5.47 | % 21.12/5.47 | Equations (335) can reduce 126 to: % 21.12/5.47 | (279) ~ (all_0_61_61 = e2) % 21.12/5.47 | % 21.12/5.47 | Simplifying 279 yields: % 21.12/5.47 | (244) ~ (all_0_61_61 = e2) % 21.12/5.47 | % 21.12/5.47 +-Applying beta-rule and splitting (147), into two cases. % 21.12/5.47 |-Branch one: % 21.12/5.47 | (364) all_0_59_59 = e2 % 21.12/5.47 | % 21.12/5.47 | Equations (364) can reduce 1029 to: % 21.12/5.47 | (251) $false % 21.12/5.47 | % 21.12/5.47 |-The branch is then unsatisfiable % 21.12/5.47 |-Branch two: % 21.12/5.47 | (1029) ~ (all_0_59_59 = e2) % 21.12/5.47 | (1303) all_0_63_63 = e2 | all_0_71_71 = e2 % 21.12/5.47 | % 21.12/5.47 +-Applying beta-rule and splitting (1303), into two cases. % 21.12/5.47 |-Branch one: % 21.12/5.47 | (573) all_0_63_63 = e2 % 21.12/5.47 | % 21.12/5.47 | Equations (573) can reduce 366 to: % 21.12/5.47 | (251) $false % 21.12/5.47 | % 21.12/5.47 |-The branch is then unsatisfiable % 21.12/5.47 |-Branch two: % 21.12/5.47 | (366) ~ (all_0_63_63 = e2) % 21.12/5.47 | (563) all_0_71_71 = e2 % 21.12/5.47 | % 21.12/5.47 | Equations (563) can reduce 28 to: % 21.12/5.47 | (1029) ~ (all_0_59_59 = e2) % 21.12/5.47 | % 21.12/5.47 | Equations (563) can reduce 226 to: % 21.12/5.47 | (366) ~ (all_0_63_63 = e2) % 21.12/5.47 | % 21.12/5.47 | Equations (563) can reduce 26 to: % 21.12/5.47 | (139) ~ (all_0_67_67 = e2) % 21.12/5.47 | % 21.12/5.47 | Equations (563) can reduce 24 to: % 21.12/5.47 | (987) ~ (all_0_68_68 = e2) % 21.12/5.47 | % 21.12/5.47 | Equations (563) can reduce 47 to: % 21.12/5.47 | (731) ~ (all_0_69_69 = e2) % 21.12/5.47 | % 21.12/5.47 | Equations (563) can reduce 200 to: % 21.12/5.47 | (184) ~ (e2 = e1) % 21.12/5.47 | % 21.12/5.47 +-Applying beta-rule and splitting (149), into two cases. % 21.12/5.47 |-Branch one: % 21.12/5.47 | (509) all_0_61_61 = e4 % 21.12/5.47 | % 21.12/5.47 | Equations (509) can reduce 44 to: % 21.12/5.47 | (4013) ~ (all_0_63_63 = e4) % 21.12/5.47 | % 21.12/5.47 | Simplifying 4013 yields: % 21.12/5.47 | (571) ~ (all_0_63_63 = e4) % 21.12/5.47 | % 21.12/5.47 +-Applying beta-rule and splitting (140), into two cases. % 21.12/5.47 |-Branch one: % 21.12/5.47 | (498) all_0_63_63 = e4 % 21.12/5.47 | % 21.12/5.47 | Equations (498) can reduce 571 to: % 21.12/5.47 | (251) $false % 21.12/5.47 | % 21.12/5.47 |-The branch is then unsatisfiable % 21.12/5.47 |-Branch two: % 21.12/5.47 | (571) ~ (all_0_63_63 = e4) % 21.12/5.47 | (572) all_0_63_63 = e2 | all_0_63_63 = e0 % 21.12/5.47 | % 21.12/5.47 +-Applying beta-rule and splitting (572), into two cases. % 21.12/5.47 |-Branch one: % 21.12/5.47 | (573) all_0_63_63 = e2 % 21.12/5.47 | % 21.12/5.47 | Equations (573) can reduce 366 to: % 21.12/5.47 | (251) $false % 21.12/5.47 | % 21.12/5.47 |-The branch is then unsatisfiable % 21.12/5.47 |-Branch two: % 21.12/5.47 | (366) ~ (all_0_63_63 = e2) % 21.12/5.47 | (576) all_0_63_63 = e0 % 21.12/5.47 | % 21.12/5.47 | Equations (576) can reduce 96 to: % 21.12/5.47 | (265) ~ (all_0_59_59 = e0) % 21.12/5.47 | % 21.12/5.47 | Equations (576) can reduce 116 to: % 21.12/5.47 | (1181) ~ (all_0_67_67 = e0) % 21.12/5.47 | % 21.12/5.47 | Simplifying 1181 yields: % 21.12/5.47 | (1182) ~ (all_0_67_67 = e0) % 21.12/5.47 | % 21.12/5.47 | Equations (576) can reduce 366 to: % 21.12/5.47 | (274) ~ (e2 = e0) % 21.12/5.47 | % 21.12/5.47 | Simplifying 274 yields: % 21.12/5.47 | (48) ~ (e2 = e0) % 21.12/5.47 | % 21.12/5.47 | Equations (576) can reduce 119 to: % 21.12/5.47 | (276) ~ (e1 = e0) % 21.12/5.47 | % 21.12/5.47 | Simplifying 276 yields: % 21.12/5.47 | (204) ~ (e1 = e0) % 21.12/5.47 | % 21.12/5.47 +-Applying beta-rule and splitting (58), into two cases. % 21.12/5.47 |-Branch one: % 21.12/5.47 | (375) all_0_59_59 = e3 % 21.12/5.47 | % 21.12/5.47 | Equations (375) can reduce 229 to: % 21.12/5.47 | (621) ~ (all_0_58_58 = e3) % 21.12/5.47 | % 21.12/5.47 | Equations (375) can reduce 22 to: % 21.12/5.47 | (770) ~ (all_0_67_67 = e3) % 21.12/5.47 | % 21.12/5.47 | Simplifying 770 yields: % 21.12/5.47 | (629) ~ (all_0_67_67 = e3) % 21.12/5.47 | % 21.12/5.47 +-Applying beta-rule and splitting (10), into two cases. % 21.12/5.47 |-Branch one: % 21.12/5.47 | (1251) all_0_67_67 = e4 % 21.12/5.47 | % 21.12/5.47 | Equations (1251) can reduce 85 to: % 21.12/5.47 | (534) ~ (all_0_66_66 = e4) % 21.12/5.47 | % 21.12/5.47 | Equations (1251) can reduce 19 to: % 21.12/5.47 | (193) ~ (e4 = e1) % 21.12/5.47 | % 21.12/5.47 +-Applying beta-rule and splitting (42), into two cases. % 21.12/5.47 |-Branch one: % 21.12/5.47 | (845) all_0_62_62 = e4 % 21.12/5.47 | % 21.12/5.47 | Combining equations (327,845) yields a new equation: % 21.12/5.47 | (1244) e4 = e1 % 21.12/5.47 | % 21.12/5.47 | Equations (1244) can reduce 193 to: % 21.12/5.47 | (251) $false % 21.12/5.47 | % 21.12/5.47 |-The branch is then unsatisfiable % 21.12/5.47 |-Branch two: % 21.12/5.47 | (920) ~ (all_0_62_62 = e4) % 21.12/5.47 | (2296) all_0_66_66 = e4 | all_0_70_70 = e4 % 21.12/5.48 | % 21.12/5.48 +-Applying beta-rule and splitting (2296), into two cases. % 21.12/5.48 |-Branch one: % 21.12/5.48 | (530) all_0_66_66 = e4 % 21.12/5.48 | % 21.12/5.48 | Equations (530) can reduce 534 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (534) ~ (all_0_66_66 = e4) % 21.12/5.48 | (500) all_0_70_70 = e4 % 21.12/5.48 | % 21.12/5.48 | Equations (500) can reduce 205 to: % 21.12/5.48 | (14) ~ (all_0_68_68 = e4) % 21.12/5.48 | % 21.12/5.48 | Equations (500) can reduce 221 to: % 21.12/5.48 | (482) ~ (all_0_69_69 = e4) % 21.12/5.48 | % 21.12/5.48 +-Applying beta-rule and splitting (3), into two cases. % 21.12/5.48 |-Branch one: % 21.12/5.48 | (478) all_0_69_69 = e4 % 21.12/5.48 | % 21.12/5.48 | Equations (478) can reduce 482 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (482) ~ (all_0_69_69 = e4) % 21.12/5.48 | (1477) all_0_69_69 = e2 | all_0_69_69 = e0 % 21.12/5.48 | % 21.12/5.48 +-Applying beta-rule and splitting (107), into two cases. % 21.12/5.48 |-Branch one: % 21.12/5.48 | (2384) ( ~ (all_0_56_56 = e3) & ~ (all_0_66_66 = e3) & ~ (all_0_71_71 = e3)) | ( ~ (all_0_56_56 = e2) & ~ (all_0_61_61 = e2) & ~ (all_0_71_71 = e2)) | ( ~ (all_0_56_56 = e1) & ~ (all_0_61_61 = e1) & ~ (all_0_66_66 = e1)) % 21.12/5.48 | % 21.12/5.48 +-Applying beta-rule and splitting (2384), into two cases. % 21.12/5.48 |-Branch one: % 21.12/5.48 | (2385) ( ~ (all_0_56_56 = e3) & ~ (all_0_66_66 = e3) & ~ (all_0_71_71 = e3)) | ( ~ (all_0_56_56 = e2) & ~ (all_0_61_61 = e2) & ~ (all_0_71_71 = e2)) % 21.12/5.48 | % 21.12/5.48 +-Applying beta-rule and splitting (2385), into two cases. % 21.12/5.48 |-Branch one: % 21.12/5.48 | (2386) ~ (all_0_56_56 = e3) & ~ (all_0_66_66 = e3) & ~ (all_0_71_71 = e3) % 21.12/5.48 | % 21.12/5.48 | Applying alpha-rule on (2386) yields: % 21.12/5.48 | (249) ~ (all_0_56_56 = e3) % 21.12/5.48 | (542) ~ (all_0_66_66 = e3) % 21.12/5.48 | (297) ~ (all_0_71_71 = e3) % 21.12/5.48 | % 21.12/5.48 +-Applying beta-rule and splitting (182), into two cases. % 21.12/5.48 |-Branch one: % 21.12/5.48 | (261) all_0_56_56 = e0 % 21.12/5.48 | % 21.12/5.48 | Combining equations (261,258) yields a new equation: % 21.12/5.48 | (288) e1 = e0 % 21.12/5.48 | % 21.12/5.48 | Equations (288) can reduce 204 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (1519) ~ (all_0_56_56 = e0) % 21.12/5.48 | (3803) all_0_57_57 = e0 | all_0_58_58 = e0 | all_0_59_59 = e0 % 21.12/5.48 | % 21.12/5.48 +-Applying beta-rule and splitting (33), into two cases. % 21.12/5.48 |-Branch one: % 21.12/5.48 | (292) all_0_68_68 = e3 % 21.12/5.48 | % 21.12/5.48 | Equations (292) can reduce 155 to: % 21.12/5.48 | (293) ~ (all_0_64_64 = e3) % 21.12/5.48 | % 21.12/5.48 | Equations (292) can reduce 14 to: % 21.12/5.48 | (774) ~ (e4 = e3) % 21.12/5.48 | % 21.12/5.48 | Simplifying 774 yields: % 21.12/5.48 | (130) ~ (e4 = e3) % 21.12/5.48 | % 21.12/5.48 +-Applying beta-rule and splitting (167), into two cases. % 21.12/5.48 |-Branch one: % 21.12/5.48 | (395) all_0_58_58 = e3 % 21.12/5.48 | % 21.12/5.48 | Equations (395) can reduce 621 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (621) ~ (all_0_58_58 = e3) % 21.12/5.48 | (622) all_0_58_58 = e1 | all_0_58_58 = e0 % 21.12/5.48 | % 21.12/5.48 +-Applying beta-rule and splitting (45), into two cases. % 21.12/5.48 |-Branch one: % 21.12/5.48 | (302) all_0_64_64 = e3 % 21.12/5.48 | % 21.12/5.48 | Equations (302) can reduce 293 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (293) ~ (all_0_64_64 = e3) % 21.12/5.48 | (305) all_0_64_64 = e1 | all_0_64_64 = e0 % 21.12/5.48 | % 21.12/5.48 +-Applying beta-rule and splitting (3803), into two cases. % 21.12/5.48 |-Branch one: % 21.12/5.48 | (1840) all_0_57_57 = e0 % 21.12/5.48 | % 21.12/5.48 | Combining equations (335,1840) yields a new equation: % 21.12/5.48 | (354) e2 = e0 % 21.12/5.48 | % 21.12/5.48 | Simplifying 354 yields: % 21.12/5.48 | (355) e2 = e0 % 21.12/5.48 | % 21.12/5.48 | Equations (355) can reduce 48 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (1147) ~ (all_0_57_57 = e0) % 21.12/5.48 | (3901) all_0_58_58 = e0 | all_0_59_59 = e0 % 21.12/5.48 | % 21.12/5.48 +-Applying beta-rule and splitting (305), into two cases. % 21.12/5.48 |-Branch one: % 21.12/5.48 | (306) all_0_64_64 = e1 % 21.12/5.48 | % 21.12/5.48 | Equations (306) can reduce 642 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (642) ~ (all_0_64_64 = e1) % 21.12/5.48 | (643) all_0_64_64 = e0 % 21.12/5.48 | % 21.12/5.48 | Equations (643) can reduce 293 to: % 21.12/5.48 | (272) ~ (e3 = e0) % 21.12/5.48 | % 21.12/5.48 | Simplifying 272 yields: % 21.12/5.48 | (36) ~ (e3 = e0) % 21.12/5.48 | % 21.12/5.48 +-Applying beta-rule and splitting (3901), into two cases. % 21.12/5.48 |-Branch one: % 21.12/5.48 | (1060) all_0_58_58 = e0 % 21.12/5.48 | % 21.12/5.48 | Equations (1060) can reduce 621 to: % 21.12/5.48 | (272) ~ (e3 = e0) % 21.12/5.48 | % 21.12/5.48 | Simplifying 272 yields: % 21.12/5.48 | (36) ~ (e3 = e0) % 21.12/5.48 | % 21.12/5.48 +-Applying beta-rule and splitting (170), into two cases. % 21.12/5.48 |-Branch one: % 21.12/5.48 | (302) all_0_64_64 = e3 % 21.12/5.48 | % 21.12/5.48 | Combining equations (302,643) yields a new equation: % 21.12/5.48 | (390) e3 = e0 % 21.12/5.48 | % 21.12/5.48 | Simplifying 390 yields: % 21.12/5.48 | (391) e3 = e0 % 21.12/5.48 | % 21.12/5.48 | Equations (391) can reduce 36 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (293) ~ (all_0_64_64 = e3) % 21.12/5.48 | (1266) all_0_66_66 = e3 | all_0_67_67 = e3 % 21.12/5.48 | % 21.12/5.48 +-Applying beta-rule and splitting (1266), into two cases. % 21.12/5.48 |-Branch one: % 21.12/5.48 | (538) all_0_66_66 = e3 % 21.12/5.48 | % 21.12/5.48 | Equations (538) can reduce 542 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (542) ~ (all_0_66_66 = e3) % 21.12/5.48 | (380) all_0_67_67 = e3 % 21.12/5.48 | % 21.12/5.48 | Combining equations (1251,380) yields a new equation: % 21.12/5.48 | (1463) e4 = e3 % 21.12/5.48 | % 21.12/5.48 | Simplifying 1463 yields: % 21.12/5.48 | (935) e4 = e3 % 21.12/5.48 | % 21.12/5.48 | Equations (935) can reduce 130 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (263) ~ (all_0_58_58 = e0) % 21.12/5.48 | (1077) all_0_59_59 = e0 % 21.12/5.48 | % 21.12/5.48 | Combining equations (375,1077) yields a new equation: % 21.12/5.48 | (390) e3 = e0 % 21.12/5.48 | % 21.12/5.48 | Simplifying 390 yields: % 21.12/5.48 | (391) e3 = e0 % 21.12/5.48 | % 21.12/5.48 | Equations (391) can reduce 36 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (645) ~ (all_0_68_68 = e3) % 21.12/5.48 | (1050) all_0_70_70 = e3 | all_0_71_71 = e3 % 21.12/5.48 | % 21.12/5.48 +-Applying beta-rule and splitting (239), into two cases. % 21.12/5.48 |-Branch one: % 21.12/5.48 | (292) all_0_68_68 = e3 % 21.12/5.48 | % 21.12/5.48 | Equations (292) can reduce 645 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (645) ~ (all_0_68_68 = e3) % 21.12/5.48 | (646) all_0_68_68 = e2 | all_0_68_68 = e0 % 21.12/5.48 | % 21.12/5.48 +-Applying beta-rule and splitting (646), into two cases. % 21.12/5.48 |-Branch one: % 21.12/5.48 | (729) all_0_68_68 = e2 % 21.12/5.48 | % 21.12/5.48 | Equations (729) can reduce 987 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (987) ~ (all_0_68_68 = e2) % 21.12/5.48 | (988) all_0_68_68 = e0 % 21.12/5.48 | % 21.12/5.48 | Equations (988) can reduce 194 to: % 21.12/5.48 | (1155) ~ (all_0_69_69 = e0) % 21.12/5.48 | % 21.12/5.48 | Simplifying 1155 yields: % 21.12/5.48 | (1156) ~ (all_0_69_69 = e0) % 21.12/5.48 | % 21.12/5.48 +-Applying beta-rule and splitting (1477), into two cases. % 21.12/5.48 |-Branch one: % 21.12/5.48 | (344) all_0_69_69 = e2 % 21.12/5.48 | % 21.12/5.48 | Equations (344) can reduce 731 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (731) ~ (all_0_69_69 = e2) % 21.12/5.48 | (1481) all_0_69_69 = e0 % 21.12/5.48 | % 21.12/5.48 | Equations (1481) can reduce 1156 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (2391) ~ (all_0_56_56 = e2) & ~ (all_0_61_61 = e2) & ~ (all_0_71_71 = e2) % 21.12/5.48 | % 21.12/5.48 | Applying alpha-rule on (2391) yields: % 21.12/5.48 | (247) ~ (all_0_56_56 = e2) % 21.12/5.48 | (244) ~ (all_0_61_61 = e2) % 21.12/5.48 | (370) ~ (all_0_71_71 = e2) % 21.12/5.48 | % 21.12/5.48 | Equations (563) can reduce 370 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (2396) ~ (all_0_56_56 = e1) & ~ (all_0_61_61 = e1) & ~ (all_0_66_66 = e1) % 21.12/5.48 | % 21.12/5.48 | Applying alpha-rule on (2396) yields: % 21.12/5.48 | (245) ~ (all_0_56_56 = e1) % 21.12/5.48 | (246) ~ (all_0_61_61 = e1) % 21.12/5.48 | (248) ~ (all_0_66_66 = e1) % 21.12/5.48 | % 21.12/5.48 | Equations (258) can reduce 245 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (2401) ~ (all_0_61_61 = e4) & ~ (all_0_66_66 = e4) & ~ (all_0_71_71 = e4) % 21.12/5.48 | % 21.12/5.48 | Applying alpha-rule on (2401) yields: % 21.12/5.48 | (512) ~ (all_0_61_61 = e4) % 21.12/5.48 | (534) ~ (all_0_66_66 = e4) % 21.12/5.48 | (556) ~ (all_0_71_71 = e4) % 21.12/5.48 | % 21.12/5.48 | Equations (509) can reduce 512 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (1581) ~ (all_0_67_67 = e4) % 21.12/5.48 | (1634) all_0_67_67 = e3 | all_0_67_67 = e0 % 21.12/5.48 | % 21.12/5.48 +-Applying beta-rule and splitting (1634), into two cases. % 21.12/5.48 |-Branch one: % 21.12/5.48 | (380) all_0_67_67 = e3 % 21.12/5.48 | % 21.12/5.48 | Equations (380) can reduce 629 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (629) ~ (all_0_67_67 = e3) % 21.12/5.48 | (1458) all_0_67_67 = e0 % 21.12/5.48 | % 21.12/5.48 | Equations (1458) can reduce 1182 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (378) ~ (all_0_59_59 = e3) % 21.12/5.48 | (1073) all_0_59_59 = e2 | all_0_59_59 = e0 % 21.12/5.48 | % 21.12/5.48 +-Applying beta-rule and splitting (1073), into two cases. % 21.12/5.48 |-Branch one: % 21.12/5.48 | (364) all_0_59_59 = e2 % 21.12/5.48 | % 21.12/5.48 | Equations (364) can reduce 1029 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (1029) ~ (all_0_59_59 = e2) % 21.12/5.48 | (1077) all_0_59_59 = e0 % 21.12/5.48 | % 21.12/5.48 | Equations (1077) can reduce 265 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (512) ~ (all_0_61_61 = e4) % 21.12/5.48 | (1976) all_0_65_65 = e4 | all_0_69_69 = e4 % 21.12/5.48 | % 21.12/5.48 +-Applying beta-rule and splitting (1976), into two cases. % 21.12/5.48 |-Branch one: % 21.12/5.48 | (1243) all_0_65_65 = e4 % 21.12/5.48 | % 21.12/5.48 | Combining equations (619,1243) yields a new equation: % 21.12/5.48 | (1244) e4 = e1 % 21.12/5.48 | % 21.12/5.48 | Equations (1244) can reduce 193 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (1246) ~ (all_0_65_65 = e4) % 21.12/5.48 | (478) all_0_69_69 = e4 % 21.12/5.48 | % 21.12/5.48 | Equations (478) can reduce 104 to: % 21.12/5.48 | (512) ~ (all_0_61_61 = e4) % 21.12/5.48 | % 21.12/5.48 | Equations (478) can reduce 221 to: % 21.12/5.48 | (1236) ~ (all_0_70_70 = e4) % 21.12/5.48 | % 21.12/5.48 | Simplifying 1236 yields: % 21.12/5.48 | (567) ~ (all_0_70_70 = e4) % 21.12/5.48 | % 21.12/5.48 | Equations (478) can reduce 156 to: % 21.12/5.48 | (193) ~ (e4 = e1) % 21.12/5.48 | % 21.12/5.48 | From (478) and (105) follows: % 21.12/5.48 | (4165) op(e3, e4) = all_0_40_40 % 21.12/5.48 | % 21.12/5.48 +-Applying beta-rule and splitting (42), into two cases. % 21.12/5.48 |-Branch one: % 21.12/5.48 | (845) all_0_62_62 = e4 % 21.12/5.48 | % 21.12/5.48 | Combining equations (327,845) yields a new equation: % 21.12/5.48 | (1244) e4 = e1 % 21.12/5.48 | % 21.12/5.48 | Equations (1244) can reduce 193 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (920) ~ (all_0_62_62 = e4) % 21.12/5.48 | (2296) all_0_66_66 = e4 | all_0_70_70 = e4 % 21.12/5.48 | % 21.12/5.48 +-Applying beta-rule and splitting (2296), into two cases. % 21.12/5.48 |-Branch one: % 21.12/5.48 | (530) all_0_66_66 = e4 % 21.12/5.48 | % 21.12/5.48 | Equations (530) can reduce 82 to: % 21.12/5.48 | (1236) ~ (all_0_70_70 = e4) % 21.12/5.48 | % 21.12/5.48 | Simplifying 1236 yields: % 21.12/5.48 | (567) ~ (all_0_70_70 = e4) % 21.12/5.48 | % 21.12/5.48 +-Applying beta-rule and splitting (78), into two cases. % 21.12/5.48 |-Branch one: % 21.12/5.48 | (509) all_0_61_61 = e4 % 21.12/5.48 | % 21.12/5.48 | Equations (509) can reduce 512 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (512) ~ (all_0_61_61 = e4) % 21.12/5.48 | (1138) all_0_61_61 = e2 | all_0_61_61 = e1 | all_0_61_61 = e0 % 21.12/5.48 | % 21.12/5.48 +-Applying beta-rule and splitting (1138), into two cases. % 21.12/5.48 |-Branch one: % 21.12/5.48 | (341) all_0_61_61 = e2 % 21.12/5.48 | % 21.12/5.48 | Equations (341) can reduce 244 to: % 21.12/5.48 | (251) $false % 21.12/5.48 | % 21.12/5.48 |-The branch is then unsatisfiable % 21.12/5.48 |-Branch two: % 21.12/5.48 | (244) ~ (all_0_61_61 = e2) % 21.12/5.49 | (1142) all_0_61_61 = e1 | all_0_61_61 = e0 % 21.12/5.49 | % 21.12/5.49 +-Applying beta-rule and splitting (1142), into two cases. % 21.12/5.49 |-Branch one: % 21.12/5.49 | (523) all_0_61_61 = e1 % 21.12/5.49 | % 21.12/5.49 | Equations (523) can reduce 246 to: % 21.12/5.49 | (251) $false % 21.12/5.49 | % 21.12/5.49 |-The branch is then unsatisfiable % 21.12/5.49 |-Branch two: % 21.12/5.49 | (246) ~ (all_0_61_61 = e1) % 21.12/5.49 | (467) all_0_61_61 = e0 % 21.12/5.49 | % 21.12/5.49 | Equations (467) can reduce 44 to: % 21.12/5.49 | (1151) ~ (all_0_63_63 = e0) % 21.12/5.49 | % 21.12/5.49 | Simplifying 1151 yields: % 21.12/5.49 | (470) ~ (all_0_63_63 = e0) % 21.12/5.49 | % 21.12/5.49 +-Applying beta-rule and splitting (140), into two cases. % 21.12/5.49 |-Branch one: % 21.12/5.49 | (498) all_0_63_63 = e4 % 21.12/5.49 | % 21.12/5.49 | Equations (498) can reduce 96 to: % 21.12/5.49 | (202) ~ (all_0_59_59 = e4) % 21.12/5.49 | % 21.12/5.49 | Equations (498) can reduce 116 to: % 21.12/5.49 | (1580) ~ (all_0_67_67 = e4) % 21.12/5.49 | % 21.12/5.49 | Simplifying 1580 yields: % 21.12/5.49 | (1581) ~ (all_0_67_67 = e4) % 21.12/5.49 | % 21.12/5.49 | From (498) and (235) follows: % 21.12/5.49 | (4192) op(e3, e4) = all_0_52_52 % 21.12/5.49 | % 21.12/5.49 | From (498) and (129) follows: % 21.12/5.49 | (1586) op(e3, e1) = e4 % 21.12/5.49 | % 21.12/5.49 | Instantiating formula (61) with e3, e4, all_0_40_40, e2 and discharging atoms op(e3, e4) = all_0_40_40, op(e3, e4) = e2, yields: % 21.12/5.49 | (4194) all_0_40_40 = e2 % 21.12/5.49 | % 21.12/5.49 | Instantiating formula (61) with e3, e4, all_0_52_52, all_0_40_40 and discharging atoms op(e3, e4) = all_0_40_40, op(e3, e4) = all_0_52_52, yields: % 21.12/5.49 | (1952) all_0_40_40 = all_0_52_52 % 21.12/5.49 | % 21.12/5.49 | Combining equations (4194,1952) yields a new equation: % 21.12/5.49 | (4196) all_0_52_52 = e2 % 21.12/5.49 | % 21.12/5.49 | From (4196) and (4192) follows: % 21.12/5.49 | (3990) op(e3, e4) = e2 % 21.12/5.49 | % 21.12/5.49 +-Applying beta-rule and splitting (181), into two cases. % 21.12/5.49 |-Branch one: % 21.12/5.49 | (500) all_0_70_70 = e4 % 21.12/5.49 | % 21.12/5.49 | Equations (500) can reduce 567 to: % 21.12/5.49 | (251) $false % 21.12/5.49 | % 21.12/5.49 |-The branch is then unsatisfiable % 21.12/5.49 |-Branch two: % 21.12/5.49 | (567) ~ (all_0_70_70 = e4) % 21.12/5.49 | (1273) all_0_70_70 = e3 | all_0_70_70 = e0 % 21.12/5.49 | % 21.12/5.49 +-Applying beta-rule and splitting (207), into two cases. % 21.12/5.49 |-Branch one: % 21.12/5.49 | (375) all_0_59_59 = e3 % 21.12/5.49 | % 21.12/5.49 | Equations (375) can reduce 22 to: % 21.12/5.49 | (770) ~ (all_0_67_67 = e3) % 21.12/5.49 | % 21.12/5.49 | Simplifying 770 yields: % 21.12/5.49 | (629) ~ (all_0_67_67 = e3) % 21.12/5.49 | % 21.12/5.49 | From (375) and (187) follows: % 21.12/5.49 | (4205) op(e3, e4) = all_0_5_5 % 21.12/5.49 | % 21.12/5.49 | From (375) and (123) follows: % 21.12/5.49 | (776) op(e3, e1) = all_0_6_6 % 21.12/5.49 | % 21.12/5.49 +-Applying beta-rule and splitting (10), into two cases. % 21.12/5.49 |-Branch one: % 21.12/5.49 | (1251) all_0_67_67 = e4 % 21.12/5.49 | % 21.12/5.49 | Equations (1251) can reduce 1581 to: % 21.12/5.49 | (251) $false % 21.12/5.49 | % 21.12/5.49 |-The branch is then unsatisfiable % 21.12/5.49 |-Branch two: % 21.12/5.49 | (1581) ~ (all_0_67_67 = e4) % 21.12/5.49 | (1634) all_0_67_67 = e3 | all_0_67_67 = e0 % 21.12/5.49 | % 21.12/5.49 +-Applying beta-rule and splitting (1634), into two cases. % 21.12/5.49 |-Branch one: % 21.12/5.49 | (380) all_0_67_67 = e3 % 21.12/5.49 | % 21.12/5.49 | Equations (380) can reduce 629 to: % 21.12/5.49 | (251) $false % 21.12/5.49 | % 21.12/5.49 |-The branch is then unsatisfiable % 21.12/5.49 |-Branch two: % 21.12/5.49 | (629) ~ (all_0_67_67 = e3) % 21.12/5.49 | (1458) all_0_67_67 = e0 % 21.12/5.49 | % 21.12/5.49 | Equations (1458) can reduce 196 to: % 21.12/5.49 | (269) ~ (all_0_64_64 = e0) % 21.12/5.49 | % 21.12/5.49 | Equations (1458) can reduce 139 to: % 21.12/5.49 | (274) ~ (e2 = e0) % 21.12/5.49 | % 21.12/5.49 | Simplifying 274 yields: % 21.12/5.49 | (48) ~ (e2 = e0) % 21.12/5.49 | % 21.12/5.49 | Equations (1458) can reduce 19 to: % 21.12/5.49 | (276) ~ (e1 = e0) % 21.12/5.49 | % 21.12/5.49 | Simplifying 276 yields: % 21.12/5.49 | (204) ~ (e1 = e0) % 21.12/5.49 | % 21.12/5.49 +-Applying beta-rule and splitting (206), into two cases. % 21.12/5.49 |-Branch one: % 21.12/5.49 | (261) all_0_56_56 = e0 % 21.12/5.49 | % 21.12/5.49 | Combining equations (261,258) yields a new equation: % 21.12/5.49 | (288) e1 = e0 % 21.12/5.49 | % 21.12/5.49 | Equations (288) can reduce 204 to: % 21.12/5.49 | (251) $false % 21.12/5.49 | % 21.12/5.49 |-The branch is then unsatisfiable % 21.12/5.49 |-Branch two: % 21.12/5.49 | (1519) ~ (all_0_56_56 = e0) % 21.12/5.49 | (1520) all_0_60_60 = e0 | all_0_64_64 = e0 | all_0_68_68 = e0 % 21.12/5.49 | % 21.12/5.49 +-Applying beta-rule and splitting (1520), into two cases. % 21.12/5.49 |-Branch one: % 21.12/5.49 | (1119) all_0_60_60 = e0 % 21.12/5.49 | % 21.12/5.49 | Combining equations (1119,278) yields a new equation: % 21.12/5.49 | (355) e2 = e0 % 21.12/5.49 | % 21.12/5.49 | Equations (355) can reduce 48 to: % 21.12/5.49 | (251) $false % 21.12/5.49 | % 21.12/5.49 |-The branch is then unsatisfiable % 21.12/5.49 |-Branch two: % 21.12/5.49 | (267) ~ (all_0_60_60 = e0) % 21.12/5.49 | (1524) all_0_64_64 = e0 | all_0_68_68 = e0 % 21.12/5.49 | % 21.12/5.49 +-Applying beta-rule and splitting (1524), into two cases. % 21.12/5.49 |-Branch one: % 21.12/5.49 | (643) all_0_64_64 = e0 % 21.12/5.49 | % 21.12/5.49 | Equations (643) can reduce 269 to: % 21.12/5.49 | (251) $false % 21.12/5.49 | % 21.12/5.49 |-The branch is then unsatisfiable % 21.12/5.49 |-Branch two: % 21.12/5.49 | (269) ~ (all_0_64_64 = e0) % 21.12/5.49 | (988) all_0_68_68 = e0 % 21.12/5.49 | % 21.12/5.49 | Equations (988) can reduce 205 to: % 21.12/5.49 | (2944) ~ (all_0_70_70 = e0) % 21.12/5.49 | % 21.12/5.49 | Simplifying 2944 yields: % 21.12/5.49 | (471) ~ (all_0_70_70 = e0) % 21.12/5.49 | % 21.12/5.49 +-Applying beta-rule and splitting (1273), into two cases. % 21.12/5.49 |-Branch one: % 21.12/5.49 | (597) all_0_70_70 = e3 % 21.12/5.49 | % 21.12/5.49 | Equations (597) can reduce 224 to: % 21.12/5.49 | (621) ~ (all_0_58_58 = e3) % 21.12/5.49 | % 21.12/5.49 | Equations (597) can reduce 93 to: % 21.12/5.49 | (15) ~ (e3 = e1) % 21.12/5.49 | % 21.12/5.49 | Equations (597) can reduce 471 to: % 21.12/5.49 | (36) ~ (e3 = e0) % 21.12/5.49 | % 21.12/5.49 +-Applying beta-rule and splitting (27), into two cases. % 21.12/5.49 |-Branch one: % 21.12/5.49 | (250) all_0_56_56 = e3 % 21.12/5.49 | % 21.12/5.49 | Combining equations (250,258) yields a new equation: % 21.12/5.49 | (660) e3 = e1 % 21.12/5.49 | % 21.12/5.49 | Simplifying 660 yields: % 21.12/5.49 | (661) e3 = e1 % 21.12/5.49 | % 21.12/5.49 | Equations (661) can reduce 15 to: % 21.12/5.49 | (251) $false % 21.12/5.49 | % 21.12/5.49 |-The branch is then unsatisfiable % 21.12/5.49 |-Branch two: % 21.12/5.49 | (249) ~ (all_0_56_56 = e3) % 21.12/5.49 | (658) all_0_64_64 = e3 | all_0_68_68 = e3 % 21.12/5.49 | % 21.12/5.49 +-Applying beta-rule and splitting (45), into two cases. % 21.12/5.49 |-Branch one: % 21.12/5.49 | (302) all_0_64_64 = e3 % 21.12/5.49 | % 21.12/5.49 | From (302) and (179) follows: % 21.12/5.49 | (4247) op(e3, e4) = all_0_15_15 % 21.12/5.49 | % 21.12/5.49 +-Applying beta-rule and splitting (167), into two cases. % 21.12/5.49 |-Branch one: % 21.12/5.49 | (395) all_0_58_58 = e3 % 21.12/5.49 | % 21.12/5.49 | Equations (395) can reduce 621 to: % 21.12/5.49 | (251) $false % 21.12/5.49 | % 21.12/5.49 |-The branch is then unsatisfiable % 21.12/5.49 |-Branch two: % 21.12/5.49 | (621) ~ (all_0_58_58 = e3) % 21.12/5.49 | (622) all_0_58_58 = e1 | all_0_58_58 = e0 % 21.12/5.49 | % 21.12/5.49 +-Applying beta-rule and splitting (622), into two cases. % 21.12/5.49 |-Branch one: % 21.12/5.49 | (323) all_0_58_58 = e1 % 21.12/5.49 | % 21.12/5.49 | Equations (323) can reduce 315 to: % 21.12/5.49 | (251) $false % 21.12/5.49 | % 21.12/5.49 |-The branch is then unsatisfiable % 21.12/5.49 |-Branch two: % 21.12/5.49 | (315) ~ (all_0_58_58 = e1) % 21.12/5.49 | (1060) all_0_58_58 = e0 % 21.12/5.49 | % 21.12/5.49 | Equations (1060) can reduce 621 to: % 21.12/5.49 | (272) ~ (e3 = e0) % 21.12/5.49 | % 21.12/5.49 | Simplifying 272 yields: % 21.12/5.49 | (36) ~ (e3 = e0) % 21.12/5.49 | % 21.12/5.49 | Instantiating formula (61) with e3, e4, all_0_5_5, e2 and discharging atoms op(e3, e4) = all_0_5_5, op(e3, e4) = e2, yields: % 21.12/5.49 | (4258) all_0_5_5 = e2 % 21.12/5.49 | % 21.12/5.49 | Instantiating formula (61) with e3, e4, all_0_15_15, all_0_5_5 and discharging atoms op(e3, e4) = all_0_5_5, op(e3, e4) = all_0_15_15, yields: % 21.12/5.49 | (4259) all_0_5_5 = all_0_15_15 % 21.12/5.49 | % 21.12/5.49 | Instantiating formula (61) with e3, e1, all_0_6_6, e4 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = e4, yields: % 21.12/5.49 | (4260) all_0_6_6 = e4 % 21.12/5.49 | % 21.12/5.49 | Combining equations (4258,4259) yields a new equation: % 21.12/5.49 | (4261) all_0_15_15 = e2 % 21.12/5.49 | % 21.12/5.49 | Combining equations (4261,4259) yields a new equation: % 21.12/5.49 | (4258) all_0_5_5 = e2 % 21.12/5.49 | % 21.12/5.49 +-Applying beta-rule and splitting (59), into two cases. % 21.12/5.49 |-Branch one: % 21.12/5.49 | (4263) ~ (all_0_6_6 = e4) % 21.12/5.49 | % 21.12/5.49 | Equations (4260) can reduce 4263 to: % 21.12/5.49 | (251) $false % 21.12/5.49 | % 21.12/5.49 |-The branch is then unsatisfiable % 21.12/5.49 |-Branch two: % 21.12/5.49 | (4260) all_0_6_6 = e4 % 21.12/5.49 | (4266) all_0_5_5 = e1 | all_0_59_59 = all_0_68_68 % 21.12/5.49 | % 21.12/5.49 +-Applying beta-rule and splitting (4266), into two cases. % 21.12/5.49 |-Branch one: % 21.12/5.49 | (1660) all_0_5_5 = e1 % 21.12/5.49 | % 21.12/5.49 | Combining equations (1660,4258) yields a new equation: % 21.12/5.49 | (337) e2 = e1 % 21.12/5.49 | % 21.12/5.49 | Equations (337) can reduce 184 to: % 21.12/5.49 | (251) $false % 21.12/5.49 | % 21.12/5.49 |-The branch is then unsatisfiable % 21.12/5.49 |-Branch two: % 21.12/5.49 | (4270) ~ (all_0_5_5 = e1) % 21.12/5.49 | (3359) all_0_59_59 = all_0_68_68 % 21.12/5.49 | % 21.12/5.49 | Combining equations (375,3359) yields a new equation: % 21.12/5.49 | (292) all_0_68_68 = e3 % 21.12/5.49 | % 21.12/5.49 | Combining equations (988,292) yields a new equation: % 21.12/5.49 | (391) e3 = e0 % 21.12/5.49 | % 21.12/5.49 | Equations (391) can reduce 36 to: % 21.12/5.49 | (251) $false % 21.12/5.49 | % 21.12/5.49 |-The branch is then unsatisfiable % 21.12/5.49 |-Branch two: % 21.12/5.49 | (293) ~ (all_0_64_64 = e3) % 21.12/5.49 | (305) all_0_64_64 = e1 | all_0_64_64 = e0 % 21.12/5.49 | % 21.12/5.49 +-Applying beta-rule and splitting (658), into two cases. % 21.12/5.49 |-Branch one: % 21.12/5.49 | (302) all_0_64_64 = e3 % 21.12/5.49 | % 21.12/5.49 | Equations (302) can reduce 293 to: % 21.12/5.49 | (251) $false % 21.12/5.49 | % 21.12/5.49 |-The branch is then unsatisfiable % 21.12/5.49 |-Branch two: % 21.12/5.49 | (293) ~ (all_0_64_64 = e3) % 21.12/5.49 | (292) all_0_68_68 = e3 % 21.12/5.49 | % 21.12/5.49 | Combining equations (988,292) yields a new equation: % 21.12/5.49 | (391) e3 = e0 % 21.12/5.49 | % 21.12/5.49 | Equations (391) can reduce 36 to: % 21.12/5.49 | (251) $false % 21.12/5.49 | % 21.12/5.49 |-The branch is then unsatisfiable % 21.12/5.49 |-Branch two: % 21.12/5.49 | (397) ~ (all_0_70_70 = e3) % 21.12/5.49 | (1323) all_0_70_70 = e0 % 21.12/5.49 | % 21.12/5.49 | Equations (1323) can reduce 471 to: % 21.12/5.49 | (251) $false % 21.12/5.49 | % 21.12/5.49 |-The branch is then unsatisfiable % 21.12/5.49 |-Branch two: % 21.12/5.49 | (378) ~ (all_0_59_59 = e3) % 21.12/5.49 | (379) all_0_67_67 = e3 | all_0_71_71 = e3 % 21.12/5.49 | % 21.12/5.49 +-Applying beta-rule and splitting (58), into two cases. % 21.12/5.49 |-Branch one: % 21.12/5.49 | (375) all_0_59_59 = e3 % 21.12/5.49 | % 21.12/5.49 | Equations (375) can reduce 378 to: % 21.12/5.49 | (251) $false % 21.12/5.49 | % 21.12/5.49 |-The branch is then unsatisfiable % 21.12/5.49 |-Branch two: % 21.12/5.49 | (378) ~ (all_0_59_59 = e3) % 21.12/5.49 | (1073) all_0_59_59 = e2 | all_0_59_59 = e0 % 21.12/5.49 | % 21.12/5.49 +-Applying beta-rule and splitting (1073), into two cases. % 21.12/5.49 |-Branch one: % 21.12/5.49 | (364) all_0_59_59 = e2 % 21.12/5.49 | % 21.12/5.49 | Equations (364) can reduce 1029 to: % 21.12/5.49 | (251) $false % 21.12/5.49 | % 21.12/5.50 |-The branch is then unsatisfiable % 21.12/5.50 |-Branch two: % 21.12/5.50 | (1029) ~ (all_0_59_59 = e2) % 21.12/5.50 | (1077) all_0_59_59 = e0 % 21.12/5.50 | % 21.12/5.50 | Equations (1077) can reduce 229 to: % 21.12/5.50 | (263) ~ (all_0_58_58 = e0) % 21.12/5.50 | % 21.12/5.50 | Equations (1077) can reduce 22 to: % 21.12/5.50 | (1181) ~ (all_0_67_67 = e0) % 21.12/5.50 | % 21.12/5.50 | Simplifying 1181 yields: % 21.12/5.50 | (1182) ~ (all_0_67_67 = e0) % 21.12/5.50 | % 21.12/5.50 | Equations (1077) can reduce 202 to: % 21.12/5.50 | (514) ~ (e4 = e0) % 21.12/5.50 | % 21.12/5.50 | Simplifying 514 yields: % 21.12/5.50 | (17) ~ (e4 = e0) % 21.12/5.50 | % 21.12/5.50 | Equations (1077) can reduce 171 to: % 21.12/5.50 | (276) ~ (e1 = e0) % 21.12/5.50 | % 21.12/5.50 | Simplifying 276 yields: % 21.12/5.50 | (204) ~ (e1 = e0) % 21.12/5.50 | % 21.12/5.50 +-Applying beta-rule and splitting (142), into two cases. % 21.12/5.50 |-Branch one: % 21.12/5.50 | (1060) all_0_58_58 = e0 % 21.12/5.50 | % 21.12/5.50 | Equations (1060) can reduce 263 to: % 21.12/5.50 | (251) $false % 21.12/5.50 | % 21.12/5.50 |-The branch is then unsatisfiable % 21.12/5.50 |-Branch two: % 21.12/5.50 | (263) ~ (all_0_58_58 = e0) % 21.12/5.50 | (2059) all_0_62_62 = e0 | all_0_66_66 = e0 | all_0_70_70 = e0 % 21.12/5.50 | % 21.12/5.50 +-Applying beta-rule and splitting (10), into two cases. % 21.12/5.50 |-Branch one: % 21.12/5.50 | (1251) all_0_67_67 = e4 % 21.12/5.50 | % 21.12/5.50 | Equations (1251) can reduce 1581 to: % 21.12/5.50 | (251) $false % 21.12/5.50 | % 21.12/5.50 |-The branch is then unsatisfiable % 21.12/5.50 |-Branch two: % 21.12/5.50 | (1581) ~ (all_0_67_67 = e4) % 21.12/5.50 | (1634) all_0_67_67 = e3 | all_0_67_67 = e0 % 21.12/5.50 | % 21.12/5.50 +-Applying beta-rule and splitting (2059), into two cases. % 21.12/5.50 |-Branch one: % 21.12/5.50 | (925) all_0_62_62 = e0 % 21.12/5.50 | % 21.12/5.50 | Combining equations (327,925) yields a new equation: % 21.12/5.50 | (287) e1 = e0 % 21.12/5.50 | % 21.12/5.50 | Simplifying 287 yields: % 21.12/5.50 | (288) e1 = e0 % 21.12/5.50 | % 21.12/5.50 | Equations (288) can reduce 204 to: % 21.12/5.50 | (251) $false % 21.12/5.50 | % 21.12/5.50 |-The branch is then unsatisfiable % 21.12/5.50 |-Branch two: % 21.12/5.50 | (838) ~ (all_0_62_62 = e0) % 21.12/5.50 | (2086) all_0_66_66 = e0 | all_0_70_70 = e0 % 21.12/5.50 | % 21.12/5.50 +-Applying beta-rule and splitting (2086), into two cases. % 21.12/5.50 |-Branch one: % 21.12/5.50 | (468) all_0_66_66 = e0 % 21.12/5.50 | % 21.12/5.50 | Combining equations (468,530) yields a new equation: % 21.12/5.50 | (510) e4 = e0 % 21.12/5.50 | % 21.12/5.50 | Equations (510) can reduce 17 to: % 21.12/5.50 | (251) $false % 21.12/5.50 | % 21.12/5.50 |-The branch is then unsatisfiable % 21.12/5.50 |-Branch two: % 21.12/5.50 | (1457) ~ (all_0_66_66 = e0) % 21.12/5.50 | (1323) all_0_70_70 = e0 % 21.12/5.50 | % 21.12/5.50 | Equations (1323) can reduce 205 to: % 21.12/5.50 | (271) ~ (all_0_68_68 = e0) % 21.12/5.50 | % 21.12/5.50 +-Applying beta-rule and splitting (239), into two cases. % 21.12/5.50 |-Branch one: % 21.12/5.50 | (292) all_0_68_68 = e3 % 21.12/5.50 | % 21.12/5.50 | Equations (292) can reduce 155 to: % 21.12/5.50 | (293) ~ (all_0_64_64 = e3) % 21.12/5.50 | % 21.12/5.50 +-Applying beta-rule and splitting (45), into two cases. % 21.12/5.50 |-Branch one: % 21.12/5.50 | (302) all_0_64_64 = e3 % 21.12/5.50 | % 21.12/5.50 | Equations (302) can reduce 293 to: % 21.12/5.50 | (251) $false % 21.12/5.50 | % 21.12/5.50 |-The branch is then unsatisfiable % 21.12/5.50 |-Branch two: % 21.12/5.50 | (293) ~ (all_0_64_64 = e3) % 21.12/5.50 | (305) all_0_64_64 = e1 | all_0_64_64 = e0 % 21.12/5.50 | % 21.12/5.50 +-Applying beta-rule and splitting (1634), into two cases. % 21.12/5.50 |-Branch one: % 21.12/5.50 | (380) all_0_67_67 = e3 % 21.12/5.50 | % 21.12/5.50 | Equations (380) can reduce 196 to: % 21.12/5.50 | (293) ~ (all_0_64_64 = e3) % 21.12/5.50 | % 21.12/5.50 | Equations (380) can reduce 1581 to: % 21.12/5.50 | (774) ~ (e4 = e3) % 21.12/5.50 | % 21.12/5.50 | Simplifying 774 yields: % 21.12/5.50 | (130) ~ (e4 = e3) % 21.12/5.50 | % 21.12/5.50 | Equations (380) can reduce 139 to: % 21.12/5.50 | (128) ~ (e3 = e2) % 21.12/5.50 | % 21.12/5.50 | Equations (380) can reduce 19 to: % 21.12/5.50 | (15) ~ (e3 = e1) % 21.12/5.50 | % 21.12/5.50 +-Applying beta-rule and splitting (305), into two cases. % 21.12/5.50 |-Branch one: % 21.12/5.50 | (306) all_0_64_64 = e1 % 21.12/5.50 | % 21.12/5.50 | Equations (306) can reduce 642 to: % 21.12/5.50 | (251) $false % 21.12/5.50 | % 21.12/5.50 |-The branch is then unsatisfiable % 21.12/5.50 |-Branch two: % 21.12/5.50 | (642) ~ (all_0_64_64 = e1) % 21.12/5.50 | (643) all_0_64_64 = e0 % 21.12/5.50 | % 21.12/5.50 | Equations (643) can reduce 293 to: % 21.12/5.50 | (272) ~ (e3 = e0) % 21.12/5.50 | % 21.12/5.50 | Simplifying 272 yields: % 21.12/5.50 | (36) ~ (e3 = e0) % 21.12/5.50 | % 21.12/5.50 +-Applying beta-rule and splitting (151), into two cases. % 21.12/5.50 |-Branch one: % 21.12/5.50 | (2164) ~ (all_0_61_61 = e0) % 21.12/5.50 | % 21.12/5.50 | Equations (467) can reduce 2164 to: % 21.12/5.50 | (251) $false % 21.12/5.50 | % 21.12/5.50 |-The branch is then unsatisfiable % 21.12/5.50 |-Branch two: % 21.12/5.50 | (467) all_0_61_61 = e0 % 21.12/5.50 | (2167) all_0_56_56 = e3 | all_0_66_66 = e3 | all_0_71_71 = e3 | (all_0_58_58 = e3 & ~ (all_0_57_57 = e2)) | (all_0_59_59 = e3 & ~ (all_0_57_57 = e1)) | (all_0_64_64 = e3 & ~ (all_0_65_65 = e4)) | (all_0_67_67 = e3 & ~ (all_0_65_65 = e1)) | (all_0_68_68 = e3 & ~ (all_0_69_69 = e4)) | (all_0_70_70 = e3 & ~ (all_0_69_69 = e2)) % 21.12/5.50 | % 21.12/5.50 +-Applying beta-rule and splitting (2167), into two cases. % 21.12/5.50 |-Branch one: % 21.12/5.50 | (250) all_0_56_56 = e3 % 21.12/5.50 | % 21.12/5.50 | Combining equations (250,258) yields a new equation: % 21.12/5.50 | (660) e3 = e1 % 21.12/5.50 | % 21.12/5.50 | Simplifying 660 yields: % 21.12/5.50 | (661) e3 = e1 % 21.12/5.50 | % 21.12/5.50 | Equations (661) can reduce 15 to: % 21.12/5.50 | (251) $false % 21.12/5.50 | % 21.12/5.50 |-The branch is then unsatisfiable % 21.12/5.50 |-Branch two: % 21.12/5.50 | (249) ~ (all_0_56_56 = e3) % 21.12/5.50 | (2179) all_0_66_66 = e3 | all_0_71_71 = e3 | (all_0_58_58 = e3 & ~ (all_0_57_57 = e2)) | (all_0_59_59 = e3 & ~ (all_0_57_57 = e1)) | (all_0_64_64 = e3 & ~ (all_0_65_65 = e4)) | (all_0_67_67 = e3 & ~ (all_0_65_65 = e1)) | (all_0_68_68 = e3 & ~ (all_0_69_69 = e4)) | (all_0_70_70 = e3 & ~ (all_0_69_69 = e2)) % 21.12/5.50 | % 21.12/5.50 +-Applying beta-rule and splitting (2179), into two cases. % 21.12/5.50 |-Branch one: % 21.12/5.50 | (538) all_0_66_66 = e3 % 21.12/5.50 | % 21.12/5.50 | Combining equations (538,530) yields a new equation: % 21.12/5.50 | (935) e4 = e3 % 21.12/5.50 | % 21.12/5.50 | Equations (935) can reduce 130 to: % 21.12/5.50 | (251) $false % 21.12/5.50 | % 21.12/5.50 |-The branch is then unsatisfiable % 21.12/5.50 |-Branch two: % 21.12/5.50 | (542) ~ (all_0_66_66 = e3) % 21.12/5.50 | (2185) all_0_71_71 = e3 | (all_0_58_58 = e3 & ~ (all_0_57_57 = e2)) | (all_0_59_59 = e3 & ~ (all_0_57_57 = e1)) | (all_0_64_64 = e3 & ~ (all_0_65_65 = e4)) | (all_0_67_67 = e3 & ~ (all_0_65_65 = e1)) | (all_0_68_68 = e3 & ~ (all_0_69_69 = e4)) | (all_0_70_70 = e3 & ~ (all_0_69_69 = e2)) % 21.12/5.50 | % 21.12/5.50 +-Applying beta-rule and splitting (2185), into two cases. % 21.12/5.50 |-Branch one: % 21.12/5.50 | (558) all_0_71_71 = e3 % 21.12/5.50 | % 21.12/5.50 | Combining equations (558,563) yields a new equation: % 21.12/5.50 | (1620) e3 = e2 % 21.12/5.50 | % 21.12/5.50 | Simplifying 1620 yields: % 21.12/5.50 | (376) e3 = e2 % 21.12/5.50 | % 21.12/5.50 | Equations (376) can reduce 128 to: % 21.12/5.50 | (251) $false % 21.12/5.50 | % 21.12/5.50 |-The branch is then unsatisfiable % 21.12/5.50 |-Branch two: % 21.12/5.50 | (297) ~ (all_0_71_71 = e3) % 21.12/5.50 | (2190) (all_0_58_58 = e3 & ~ (all_0_57_57 = e2)) | (all_0_59_59 = e3 & ~ (all_0_57_57 = e1)) | (all_0_64_64 = e3 & ~ (all_0_65_65 = e4)) | (all_0_67_67 = e3 & ~ (all_0_65_65 = e1)) | (all_0_68_68 = e3 & ~ (all_0_69_69 = e4)) | (all_0_70_70 = e3 & ~ (all_0_69_69 = e2)) % 21.12/5.50 | % 21.12/5.50 +-Applying beta-rule and splitting (2190), into two cases. % 21.12/5.50 |-Branch one: % 21.12/5.50 | (2191) (all_0_58_58 = e3 & ~ (all_0_57_57 = e2)) | (all_0_59_59 = e3 & ~ (all_0_57_57 = e1)) | (all_0_64_64 = e3 & ~ (all_0_65_65 = e4)) | (all_0_67_67 = e3 & ~ (all_0_65_65 = e1)) | (all_0_68_68 = e3 & ~ (all_0_69_69 = e4)) % 21.12/5.50 | % 21.12/5.50 +-Applying beta-rule and splitting (2191), into two cases. % 21.12/5.50 |-Branch one: % 21.12/5.50 | (2192) (all_0_58_58 = e3 & ~ (all_0_57_57 = e2)) | (all_0_59_59 = e3 & ~ (all_0_57_57 = e1)) | (all_0_64_64 = e3 & ~ (all_0_65_65 = e4)) | (all_0_67_67 = e3 & ~ (all_0_65_65 = e1)) % 21.12/5.50 | % 21.12/5.50 +-Applying beta-rule and splitting (2192), into two cases. % 21.12/5.50 |-Branch one: % 21.12/5.50 | (2193) (all_0_58_58 = e3 & ~ (all_0_57_57 = e2)) | (all_0_59_59 = e3 & ~ (all_0_57_57 = e1)) | (all_0_64_64 = e3 & ~ (all_0_65_65 = e4)) % 21.12/5.50 | % 21.12/5.50 +-Applying beta-rule and splitting (2193), into two cases. % 21.12/5.50 |-Branch one: % 21.12/5.50 | (2194) (all_0_58_58 = e3 & ~ (all_0_57_57 = e2)) | (all_0_59_59 = e3 & ~ (all_0_57_57 = e1)) % 21.12/5.50 | % 21.12/5.50 +-Applying beta-rule and splitting (2194), into two cases. % 21.12/5.50 |-Branch one: % 21.12/5.50 | (2195) all_0_58_58 = e3 & ~ (all_0_57_57 = e2) % 21.12/5.50 | % 21.12/5.50 | Applying alpha-rule on (2195) yields: % 21.12/5.50 | (395) all_0_58_58 = e3 % 21.12/5.50 | (339) ~ (all_0_57_57 = e2) % 21.12/5.50 | % 21.12/5.50 | Equations (335) can reduce 339 to: % 21.12/5.50 | (251) $false % 21.12/5.50 | % 21.12/5.50 |-The branch is then unsatisfiable % 21.12/5.50 |-Branch two: % 21.12/5.50 | (2200) all_0_59_59 = e3 & ~ (all_0_57_57 = e1) % 21.12/5.50 | % 21.12/5.50 | Applying alpha-rule on (2200) yields: % 21.12/5.50 | (375) all_0_59_59 = e3 % 21.12/5.50 | (635) ~ (all_0_57_57 = e1) % 21.12/5.50 | % 21.12/5.50 | Combining equations (375,1077) yields a new equation: % 21.12/5.50 | (390) e3 = e0 % 21.12/5.50 | % 21.12/5.50 | Simplifying 390 yields: % 21.12/5.50 | (391) e3 = e0 % 21.12/5.50 | % 21.12/5.50 | Equations (391) can reduce 36 to: % 21.12/5.50 | (251) $false % 21.12/5.50 | % 21.12/5.50 |-The branch is then unsatisfiable % 21.12/5.50 |-Branch two: % 21.12/5.50 | (2204) all_0_64_64 = e3 & ~ (all_0_65_65 = e4) % 21.12/5.50 | % 21.12/5.50 | Applying alpha-rule on (2204) yields: % 21.12/5.50 | (302) all_0_64_64 = e3 % 21.12/5.50 | (1246) ~ (all_0_65_65 = e4) % 21.12/5.50 | % 21.12/5.50 | Combining equations (643,302) yields a new equation: % 21.12/5.50 | (391) e3 = e0 % 21.12/5.50 | % 21.12/5.50 | Equations (391) can reduce 36 to: % 21.12/5.50 | (251) $false % 21.12/5.50 | % 21.12/5.50 |-The branch is then unsatisfiable % 21.12/5.50 |-Branch two: % 21.12/5.50 | (2208) all_0_67_67 = e3 & ~ (all_0_65_65 = e1) % 21.12/5.50 | % 21.12/5.50 | Applying alpha-rule on (2208) yields: % 21.12/5.50 | (380) all_0_67_67 = e3 % 21.12/5.50 | (308) ~ (all_0_65_65 = e1) % 21.12/5.50 | % 21.12/5.50 | Equations (619) can reduce 308 to: % 21.12/5.50 | (251) $false % 21.12/5.50 | % 21.12/5.50 |-The branch is then unsatisfiable % 21.12/5.50 |-Branch two: % 21.12/5.50 | (2213) all_0_68_68 = e3 & ~ (all_0_69_69 = e4) % 21.12/5.50 | % 21.12/5.50 | Applying alpha-rule on (2213) yields: % 21.12/5.50 | (292) all_0_68_68 = e3 % 21.12/5.50 | (482) ~ (all_0_69_69 = e4) % 21.12/5.50 | % 21.12/5.50 | Equations (478) can reduce 482 to: % 21.12/5.50 | (251) $false % 21.12/5.50 | % 21.12/5.50 |-The branch is then unsatisfiable % 21.12/5.50 |-Branch two: % 21.12/5.50 | (2218) all_0_70_70 = e3 & ~ (all_0_69_69 = e2) % 21.12/5.50 | % 21.12/5.50 | Applying alpha-rule on (2218) yields: % 21.12/5.50 | (597) all_0_70_70 = e3 % 21.12/5.50 | (731) ~ (all_0_69_69 = e2) % 21.12/5.50 | % 21.12/5.50 | Combining equations (1323,597) yields a new equation: % 21.12/5.50 | (391) e3 = e0 % 21.12/5.50 | % 21.12/5.50 | Equations (391) can reduce 36 to: % 21.12/5.50 | (251) $false % 21.12/5.50 | % 21.12/5.50 |-The branch is then unsatisfiable % 21.12/5.50 |-Branch two: % 21.12/5.50 | (629) ~ (all_0_67_67 = e3) % 21.12/5.50 | (1458) all_0_67_67 = e0 % 21.12/5.50 | % 21.12/5.50 | Equations (1458) can reduce 1182 to: % 21.12/5.50 | (251) $false % 21.12/5.50 | % 21.12/5.50 |-The branch is then unsatisfiable % 21.12/5.50 |-Branch two: % 21.12/5.50 | (645) ~ (all_0_68_68 = e3) % 21.12/5.50 | (646) all_0_68_68 = e2 | all_0_68_68 = e0 % 21.12/5.50 | % 21.12/5.50 +-Applying beta-rule and splitting (646), into two cases. % 21.12/5.50 |-Branch one: % 21.12/5.50 | (729) all_0_68_68 = e2 % 21.12/5.50 | % 21.12/5.50 | Equations (729) can reduce 987 to: % 21.12/5.50 | (251) $false % 21.12/5.50 | % 21.12/5.50 |-The branch is then unsatisfiable % 21.12/5.50 |-Branch two: % 21.12/5.50 | (987) ~ (all_0_68_68 = e2) % 21.12/5.50 | (988) all_0_68_68 = e0 % 21.12/5.50 | % 21.12/5.50 | Equations (988) can reduce 271 to: % 21.12/5.50 | (251) $false % 21.12/5.50 | % 21.12/5.50 |-The branch is then unsatisfiable % 21.12/5.50 |-Branch two: % 21.12/5.50 | (571) ~ (all_0_63_63 = e4) % 21.12/5.50 | (572) all_0_63_63 = e2 | all_0_63_63 = e0 % 21.12/5.50 | % 21.12/5.50 +-Applying beta-rule and splitting (572), into two cases. % 21.12/5.50 |-Branch one: % 21.12/5.50 | (573) all_0_63_63 = e2 % 21.12/5.50 | % 21.12/5.50 | Equations (573) can reduce 366 to: % 21.12/5.50 | (251) $false % 21.12/5.50 | % 21.12/5.50 |-The branch is then unsatisfiable % 21.12/5.50 |-Branch two: % 21.12/5.50 | (366) ~ (all_0_63_63 = e2) % 21.12/5.50 | (576) all_0_63_63 = e0 % 21.12/5.50 | % 21.12/5.50 | Equations (576) can reduce 470 to: % 21.12/5.50 | (251) $false % 21.12/5.50 | % 21.12/5.50 |-The branch is then unsatisfiable % 21.12/5.50 |-Branch two: % 21.12/5.50 | (534) ~ (all_0_66_66 = e4) % 21.12/5.50 | (500) all_0_70_70 = e4 % 21.12/5.50 | % 21.12/5.50 | Equations (500) can reduce 567 to: % 21.12/5.50 | (251) $false % 21.12/5.50 | % 21.12/5.50 |-The branch is then unsatisfiable % 21.12/5.50 |-Branch two: % 21.12/5.50 | (339) ~ (all_0_57_57 = e2) % 21.12/5.50 | (340) all_0_61_61 = e2 | all_0_69_69 = e2 % 21.12/5.50 | % 21.12/5.50 +-Applying beta-rule and splitting (136), into two cases. % 21.12/5.50 |-Branch one: % 21.12/5.50 | (4416) ~ (all_0_8_8 = e3) % 21.12/5.50 | % 21.12/5.50 | Equations (3991) can reduce 4416 to: % 21.12/5.51 | (293) ~ (all_0_64_64 = e3) % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (177), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (254) all_0_56_56 = e2 % 21.12/5.51 | % 21.12/5.51 | Combining equations (258,254) yields a new equation: % 21.12/5.51 | (337) e2 = e1 % 21.12/5.51 | % 21.12/5.51 | Equations (337) can reduce 184 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (247) ~ (all_0_56_56 = e2) % 21.12/5.51 | (358) all_0_57_57 = e2 | all_0_59_59 = e2 % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (27), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (250) all_0_56_56 = e3 % 21.12/5.51 | % 21.12/5.51 | Combining equations (258,250) yields a new equation: % 21.12/5.51 | (661) e3 = e1 % 21.12/5.51 | % 21.12/5.51 | Equations (661) can reduce 15 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (249) ~ (all_0_56_56 = e3) % 21.12/5.51 | (658) all_0_64_64 = e3 | all_0_68_68 = e3 % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (658), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (302) all_0_64_64 = e3 % 21.12/5.51 | % 21.12/5.51 | Equations (302) can reduce 293 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (293) ~ (all_0_64_64 = e3) % 21.12/5.51 | (292) all_0_68_68 = e3 % 21.12/5.51 | % 21.12/5.51 | Equations (292) can reduce 155 to: % 21.12/5.51 | (293) ~ (all_0_64_64 = e3) % 21.12/5.51 | % 21.12/5.51 | Equations (292) can reduce 24 to: % 21.12/5.51 | (296) ~ (all_0_71_71 = e3) % 21.12/5.51 | % 21.12/5.51 | Simplifying 296 yields: % 21.12/5.51 | (297) ~ (all_0_71_71 = e3) % 21.12/5.51 | % 21.12/5.51 | Equations (292) can reduce 987 to: % 21.12/5.51 | (128) ~ (e3 = e2) % 21.12/5.51 | % 21.12/5.51 | Equations (292) can reduce 108 to: % 21.12/5.51 | (15) ~ (e3 = e1) % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (358), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (335) all_0_57_57 = e2 % 21.12/5.51 | % 21.12/5.51 | Equations (335) can reduce 339 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (339) ~ (all_0_57_57 = e2) % 21.12/5.51 | (364) all_0_59_59 = e2 % 21.12/5.51 | % 21.12/5.51 | Equations (364) can reduce 233 to: % 21.12/5.51 | (339) ~ (all_0_57_57 = e2) % 21.12/5.51 | % 21.12/5.51 | Equations (364) can reduce 229 to: % 21.12/5.51 | (77) ~ (all_0_58_58 = e2) % 21.12/5.51 | % 21.12/5.51 | Equations (364) can reduce 28 to: % 21.12/5.51 | (369) ~ (all_0_71_71 = e2) % 21.12/5.51 | % 21.12/5.51 | Simplifying 369 yields: % 21.12/5.51 | (370) ~ (all_0_71_71 = e2) % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (125), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (552) all_0_71_71 = e4 % 21.12/5.51 | % 21.12/5.51 | Equations (552) can reduce 556 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (556) ~ (all_0_71_71 = e4) % 21.12/5.51 | (4448) all_0_71_71 = e3 | all_0_71_71 = e2 | all_0_71_71 = e0 % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (209), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (250) all_0_56_56 = e3 % 21.12/5.51 | % 21.12/5.51 | Combining equations (250,258) yields a new equation: % 21.12/5.51 | (660) e3 = e1 % 21.12/5.51 | % 21.12/5.51 | Simplifying 660 yields: % 21.12/5.51 | (661) e3 = e1 % 21.12/5.51 | % 21.12/5.51 | Equations (661) can reduce 15 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (249) ~ (all_0_56_56 = e3) % 21.12/5.51 | (394) all_0_58_58 = e3 | all_0_59_59 = e3 % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (394), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (395) all_0_58_58 = e3 % 21.12/5.51 | % 21.12/5.51 | Equations (395) can reduce 216 to: % 21.12/5.51 | (691) ~ (all_0_66_66 = e3) % 21.12/5.51 | % 21.12/5.51 | Simplifying 691 yields: % 21.12/5.51 | (542) ~ (all_0_66_66 = e3) % 21.12/5.51 | % 21.12/5.51 | Equations (395) can reduce 77 to: % 21.12/5.51 | (128) ~ (e3 = e2) % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (170), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (302) all_0_64_64 = e3 % 21.12/5.51 | % 21.12/5.51 | Equations (302) can reduce 293 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (293) ~ (all_0_64_64 = e3) % 21.12/5.51 | (1266) all_0_66_66 = e3 | all_0_67_67 = e3 % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (182), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (261) all_0_56_56 = e0 % 21.12/5.51 | % 21.12/5.51 | Combining equations (258,261) yields a new equation: % 21.12/5.51 | (287) e1 = e0 % 21.12/5.51 | % 21.12/5.51 | Simplifying 287 yields: % 21.12/5.51 | (288) e1 = e0 % 21.12/5.51 | % 21.12/5.51 | Equations (288) can reduce 204 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (1519) ~ (all_0_56_56 = e0) % 21.12/5.51 | (3803) all_0_57_57 = e0 | all_0_58_58 = e0 | all_0_59_59 = e0 % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (45), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (302) all_0_64_64 = e3 % 21.12/5.51 | % 21.12/5.51 | Equations (302) can reduce 293 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (293) ~ (all_0_64_64 = e3) % 21.12/5.51 | (305) all_0_64_64 = e1 | all_0_64_64 = e0 % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (305), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (306) all_0_64_64 = e1 % 21.12/5.51 | % 21.12/5.51 | Equations (306) can reduce 642 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (642) ~ (all_0_64_64 = e1) % 21.12/5.51 | (643) all_0_64_64 = e0 % 21.12/5.51 | % 21.12/5.51 | Equations (643) can reduce 100 to: % 21.12/5.51 | (1601) ~ (all_0_66_66 = e0) % 21.12/5.51 | % 21.12/5.51 | Simplifying 1601 yields: % 21.12/5.51 | (1457) ~ (all_0_66_66 = e0) % 21.12/5.51 | % 21.12/5.51 | Equations (643) can reduce 196 to: % 21.12/5.51 | (1181) ~ (all_0_67_67 = e0) % 21.12/5.51 | % 21.12/5.51 | Simplifying 1181 yields: % 21.12/5.51 | (1182) ~ (all_0_67_67 = e0) % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (201), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (335) all_0_57_57 = e2 % 21.12/5.51 | % 21.12/5.51 | Equations (335) can reduce 339 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (339) ~ (all_0_57_57 = e2) % 21.12/5.51 | (991) all_0_57_57 = e1 | all_0_57_57 = e0 % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (23), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (530) all_0_66_66 = e4 % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (112), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (729) all_0_68_68 = e2 % 21.12/5.51 | % 21.12/5.51 | Combining equations (729,292) yields a new equation: % 21.12/5.51 | (376) e3 = e2 % 21.12/5.51 | % 21.12/5.51 | Equations (376) can reduce 128 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (987) ~ (all_0_68_68 = e2) % 21.12/5.51 | (1570) all_0_69_69 = e2 | all_0_71_71 = e2 % 21.12/5.51 | % 21.12/5.51 | Equations (292) can reduce 987 to: % 21.12/5.51 | (128) ~ (e3 = e2) % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (207), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (375) all_0_59_59 = e3 % 21.12/5.51 | % 21.12/5.51 | Combining equations (364,375) yields a new equation: % 21.12/5.51 | (376) e3 = e2 % 21.12/5.51 | % 21.12/5.51 | Equations (376) can reduce 128 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (378) ~ (all_0_59_59 = e3) % 21.12/5.51 | (379) all_0_67_67 = e3 | all_0_71_71 = e3 % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (3803), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (1840) all_0_57_57 = e0 % 21.12/5.51 | % 21.12/5.51 | Equations (1840) can reduce 141 to: % 21.12/5.51 | (514) ~ (e4 = e0) % 21.12/5.51 | % 21.12/5.51 | Simplifying 514 yields: % 21.12/5.51 | (17) ~ (e4 = e0) % 21.12/5.51 | % 21.12/5.51 | Equations (1840) can reduce 635 to: % 21.12/5.51 | (276) ~ (e1 = e0) % 21.12/5.51 | % 21.12/5.51 | Simplifying 276 yields: % 21.12/5.51 | (204) ~ (e1 = e0) % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (379), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (380) all_0_67_67 = e3 % 21.12/5.51 | % 21.12/5.51 | Equations (380) can reduce 26 to: % 21.12/5.51 | (296) ~ (all_0_71_71 = e3) % 21.12/5.51 | % 21.12/5.51 | Simplifying 296 yields: % 21.12/5.51 | (297) ~ (all_0_71_71 = e3) % 21.12/5.51 | % 21.12/5.51 | Equations (380) can reduce 1182 to: % 21.12/5.51 | (36) ~ (e3 = e0) % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (1570), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (344) all_0_69_69 = e2 % 21.12/5.51 | % 21.12/5.51 | Equations (344) can reduce 47 to: % 21.12/5.51 | (369) ~ (all_0_71_71 = e2) % 21.12/5.51 | % 21.12/5.51 | Simplifying 369 yields: % 21.12/5.51 | (370) ~ (all_0_71_71 = e2) % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (142), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (1060) all_0_58_58 = e0 % 21.12/5.51 | % 21.12/5.51 | Combining equations (395,1060) yields a new equation: % 21.12/5.51 | (390) e3 = e0 % 21.12/5.51 | % 21.12/5.51 | Simplifying 390 yields: % 21.12/5.51 | (391) e3 = e0 % 21.12/5.51 | % 21.12/5.51 | Equations (391) can reduce 36 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (263) ~ (all_0_58_58 = e0) % 21.12/5.51 | (2059) all_0_62_62 = e0 | all_0_66_66 = e0 | all_0_70_70 = e0 % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (2059), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (925) all_0_62_62 = e0 % 21.12/5.51 | % 21.12/5.51 | Combining equations (327,925) yields a new equation: % 21.12/5.51 | (287) e1 = e0 % 21.12/5.51 | % 21.12/5.51 | Simplifying 287 yields: % 21.12/5.51 | (288) e1 = e0 % 21.12/5.51 | % 21.12/5.51 | Equations (288) can reduce 204 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (838) ~ (all_0_62_62 = e0) % 21.12/5.51 | (2086) all_0_66_66 = e0 | all_0_70_70 = e0 % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (2086), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (468) all_0_66_66 = e0 % 21.12/5.51 | % 21.12/5.51 | Combining equations (530,468) yields a new equation: % 21.12/5.51 | (531) e4 = e0 % 21.12/5.51 | % 21.12/5.51 | Simplifying 531 yields: % 21.12/5.51 | (510) e4 = e0 % 21.12/5.51 | % 21.12/5.51 | Equations (510) can reduce 17 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (1457) ~ (all_0_66_66 = e0) % 21.12/5.51 | (1323) all_0_70_70 = e0 % 21.12/5.51 | % 21.12/5.51 | Equations (1323) can reduce 94 to: % 21.12/5.51 | (1531) ~ (all_0_71_71 = e0) % 21.12/5.51 | % 21.12/5.51 | Simplifying 1531 yields: % 21.12/5.51 | (1532) ~ (all_0_71_71 = e0) % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (4448), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (558) all_0_71_71 = e3 % 21.12/5.51 | % 21.12/5.51 | Equations (558) can reduce 297 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (297) ~ (all_0_71_71 = e3) % 21.12/5.51 | (4532) all_0_71_71 = e2 | all_0_71_71 = e0 % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (4532), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (563) all_0_71_71 = e2 % 21.12/5.51 | % 21.12/5.51 | Equations (563) can reduce 370 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (370) ~ (all_0_71_71 = e2) % 21.12/5.51 | (469) all_0_71_71 = e0 % 21.12/5.51 | % 21.12/5.51 | Equations (469) can reduce 1532 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (731) ~ (all_0_69_69 = e2) % 21.12/5.51 | (563) all_0_71_71 = e2 % 21.12/5.51 | % 21.12/5.51 | Equations (563) can reduce 370 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (629) ~ (all_0_67_67 = e3) % 21.12/5.51 | (558) all_0_71_71 = e3 % 21.12/5.51 | % 21.12/5.51 | Equations (558) can reduce 297 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (1147) ~ (all_0_57_57 = e0) % 21.12/5.51 | (3901) all_0_58_58 = e0 | all_0_59_59 = e0 % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (991), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (313) all_0_57_57 = e1 % 21.12/5.51 | % 21.12/5.51 | Equations (313) can reduce 635 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (635) ~ (all_0_57_57 = e1) % 21.12/5.51 | (1840) all_0_57_57 = e0 % 21.12/5.51 | % 21.12/5.51 | Equations (1840) can reduce 1147 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (534) ~ (all_0_66_66 = e4) % 21.12/5.51 | (1614) all_0_66_66 = e3 | all_0_66_66 = e1 | all_0_66_66 = e0 % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (1614), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (538) all_0_66_66 = e3 % 21.12/5.51 | % 21.12/5.51 | Equations (538) can reduce 542 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (542) ~ (all_0_66_66 = e3) % 21.12/5.51 | (1761) all_0_66_66 = e1 | all_0_66_66 = e0 % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (1761), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (546) all_0_66_66 = e1 % 21.12/5.51 | % 21.12/5.51 | Equations (546) can reduce 248 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (248) ~ (all_0_66_66 = e1) % 21.12/5.51 | (468) all_0_66_66 = e0 % 21.12/5.51 | % 21.12/5.51 | Equations (468) can reduce 1457 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (621) ~ (all_0_58_58 = e3) % 21.12/5.51 | (375) all_0_59_59 = e3 % 21.12/5.51 | % 21.12/5.51 | Combining equations (364,375) yields a new equation: % 21.12/5.51 | (376) e3 = e2 % 21.12/5.51 | % 21.12/5.51 | Equations (376) can reduce 128 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (2513) all_0_8_8 = e3 % 21.12/5.51 | (4567) all_0_7_7 = e4 | all_0_57_57 = all_0_60_60 % 21.12/5.51 | % 21.12/5.51 +-Applying beta-rule and splitting (4567), into two cases. % 21.12/5.51 |-Branch one: % 21.12/5.51 | (4568) all_0_7_7 = e4 % 21.12/5.51 | % 21.12/5.51 | Combining equations (4568,3992) yields a new equation: % 21.12/5.51 | (2018) e4 = e1 % 21.12/5.51 | % 21.12/5.51 | Simplifying 2018 yields: % 21.12/5.51 | (1244) e4 = e1 % 21.12/5.51 | % 21.12/5.51 | Equations (1244) can reduce 193 to: % 21.12/5.51 | (251) $false % 21.12/5.51 | % 21.12/5.51 |-The branch is then unsatisfiable % 21.12/5.51 |-Branch two: % 21.12/5.51 | (4572) ~ (all_0_7_7 = e4) % 21.12/5.51 | (4573) all_0_57_57 = all_0_60_60 % 21.12/5.51 | % 21.12/5.52 | Combining equations (278,4573) yields a new equation: % 21.12/5.52 | (335) all_0_57_57 = e2 % 21.12/5.52 | % 21.12/5.52 | Equations (335) can reduce 339 to: % 21.12/5.52 | (251) $false % 21.12/5.52 | % 21.12/5.52 |-The branch is then unsatisfiable % 21.12/5.52 |-Branch two: % 21.12/5.52 | (666) ~ (all_0_60_60 = e2) % 21.12/5.52 | (667) all_0_60_60 = e1 | all_0_60_60 = e0 % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (153), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (254) all_0_56_56 = e2 % 21.12/5.52 | % 21.12/5.52 | Combining equations (254,258) yields a new equation: % 21.12/5.52 | (336) e2 = e1 % 21.12/5.52 | % 21.12/5.52 | Simplifying 336 yields: % 21.12/5.52 | (337) e2 = e1 % 21.12/5.52 | % 21.12/5.52 | Equations (337) can reduce 184 to: % 21.12/5.52 | (251) $false % 21.12/5.52 | % 21.12/5.52 |-The branch is then unsatisfiable % 21.12/5.52 |-Branch two: % 21.12/5.52 | (247) ~ (all_0_56_56 = e2) % 21.12/5.52 | (709) all_0_60_60 = e2 | all_0_68_68 = e2 % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (228), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (278) all_0_60_60 = e2 % 21.12/5.52 | % 21.12/5.52 | Equations (278) can reduce 666 to: % 21.12/5.52 | (251) $false % 21.12/5.52 | % 21.12/5.52 |-The branch is then unsatisfiable % 21.12/5.52 |-Branch two: % 21.12/5.52 | (666) ~ (all_0_60_60 = e2) % 21.12/5.52 | (685) all_0_61_61 = e2 | all_0_63_63 = e2 % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (709), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (278) all_0_60_60 = e2 % 21.12/5.52 | % 21.12/5.52 | Equations (278) can reduce 666 to: % 21.12/5.52 | (251) $false % 21.12/5.52 | % 21.12/5.52 |-The branch is then unsatisfiable % 21.12/5.52 |-Branch two: % 21.12/5.52 | (666) ~ (all_0_60_60 = e2) % 21.12/5.52 | (729) all_0_68_68 = e2 % 21.12/5.52 | % 21.12/5.52 | Equations (729) can reduce 83 to: % 21.12/5.52 | (666) ~ (all_0_60_60 = e2) % 21.12/5.52 | % 21.12/5.52 | Equations (729) can reduce 155 to: % 21.12/5.52 | (198) ~ (all_0_64_64 = e2) % 21.12/5.52 | % 21.12/5.52 | Equations (729) can reduce 194 to: % 21.12/5.52 | (730) ~ (all_0_69_69 = e2) % 21.12/5.52 | % 21.12/5.52 | Simplifying 730 yields: % 21.12/5.52 | (731) ~ (all_0_69_69 = e2) % 21.12/5.52 | % 21.12/5.52 | Equations (729) can reduce 205 to: % 21.12/5.52 | (1283) ~ (all_0_70_70 = e2) % 21.12/5.52 | % 21.12/5.52 | Simplifying 1283 yields: % 21.12/5.52 | (7) ~ (all_0_70_70 = e2) % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (60), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (335) all_0_57_57 = e2 % 21.12/5.52 | % 21.12/5.52 | Equations (335) can reduce 126 to: % 21.12/5.52 | (279) ~ (all_0_61_61 = e2) % 21.12/5.52 | % 21.12/5.52 | Simplifying 279 yields: % 21.12/5.52 | (244) ~ (all_0_61_61 = e2) % 21.12/5.52 | % 21.12/5.52 | Equations (335) can reduce 18 to: % 21.12/5.52 | (730) ~ (all_0_69_69 = e2) % 21.12/5.52 | % 21.12/5.52 | Simplifying 730 yields: % 21.12/5.52 | (731) ~ (all_0_69_69 = e2) % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (667), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (647) all_0_60_60 = e1 % 21.12/5.52 | % 21.12/5.52 | Equations (647) can reduce 651 to: % 21.12/5.52 | (251) $false % 21.12/5.52 | % 21.12/5.52 |-The branch is then unsatisfiable % 21.12/5.52 |-Branch two: % 21.12/5.52 | (651) ~ (all_0_60_60 = e1) % 21.12/5.52 | (1119) all_0_60_60 = e0 % 21.12/5.52 | % 21.12/5.52 | Equations (1119) can reduce 39 to: % 21.12/5.52 | (4607) ~ (all_0_61_61 = e0) % 21.12/5.52 | % 21.12/5.52 | Simplifying 4607 yields: % 21.12/5.52 | (2164) ~ (all_0_61_61 = e0) % 21.12/5.52 | % 21.12/5.52 | Equations (1119) can reduce 76 to: % 21.12/5.52 | (1151) ~ (all_0_63_63 = e0) % 21.12/5.52 | % 21.12/5.52 | Simplifying 1151 yields: % 21.12/5.52 | (470) ~ (all_0_63_63 = e0) % 21.12/5.52 | % 21.12/5.52 | Equations (1119) can reduce 218 to: % 21.12/5.52 | (268) ~ (all_0_64_64 = e0) % 21.12/5.52 | % 21.12/5.52 | Simplifying 268 yields: % 21.12/5.52 | (269) ~ (all_0_64_64 = e0) % 21.12/5.52 | % 21.12/5.52 | Equations (1119) can reduce 666 to: % 21.12/5.52 | (274) ~ (e2 = e0) % 21.12/5.52 | % 21.12/5.52 | Simplifying 274 yields: % 21.12/5.52 | (48) ~ (e2 = e0) % 21.12/5.52 | % 21.12/5.52 | Equations (1119) can reduce 651 to: % 21.12/5.52 | (276) ~ (e1 = e0) % 21.12/5.52 | % 21.12/5.52 | Simplifying 276 yields: % 21.12/5.52 | (204) ~ (e1 = e0) % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (78), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (509) all_0_61_61 = e4 % 21.12/5.52 | % 21.12/5.52 | Equations (509) can reduce 44 to: % 21.12/5.52 | (4013) ~ (all_0_63_63 = e4) % 21.12/5.52 | % 21.12/5.52 | Simplifying 4013 yields: % 21.12/5.52 | (571) ~ (all_0_63_63 = e4) % 21.12/5.52 | % 21.12/5.52 | Equations (509) can reduce 104 to: % 21.12/5.52 | (2924) ~ (all_0_69_69 = e4) % 21.12/5.52 | % 21.12/5.52 | Simplifying 2924 yields: % 21.12/5.52 | (482) ~ (all_0_69_69 = e4) % 21.12/5.52 | % 21.12/5.52 | Equations (509) can reduce 2164 to: % 21.12/5.52 | (17) ~ (e4 = e0) % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (38), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (498) all_0_63_63 = e4 % 21.12/5.52 | % 21.12/5.52 | Equations (498) can reduce 571 to: % 21.12/5.52 | (251) $false % 21.12/5.52 | % 21.12/5.52 |-The branch is then unsatisfiable % 21.12/5.52 |-Branch two: % 21.12/5.52 | (571) ~ (all_0_63_63 = e4) % 21.12/5.52 | (2319) all_0_67_67 = e4 | all_0_71_71 = e4 % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (2319), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (1251) all_0_67_67 = e4 % 21.12/5.52 | % 21.12/5.52 | Equations (1251) can reduce 116 to: % 21.12/5.52 | (571) ~ (all_0_63_63 = e4) % 21.12/5.52 | % 21.12/5.52 | Equations (1251) can reduce 85 to: % 21.12/5.52 | (534) ~ (all_0_66_66 = e4) % 21.12/5.52 | % 21.12/5.52 | Equations (1251) can reduce 19 to: % 21.12/5.52 | (193) ~ (e4 = e1) % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (3), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (478) all_0_69_69 = e4 % 21.12/5.52 | % 21.12/5.52 | Equations (478) can reduce 482 to: % 21.12/5.52 | (251) $false % 21.12/5.52 | % 21.12/5.52 |-The branch is then unsatisfiable % 21.12/5.52 |-Branch two: % 21.12/5.52 | (482) ~ (all_0_69_69 = e4) % 21.12/5.52 | (1477) all_0_69_69 = e2 | all_0_69_69 = e0 % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (140), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (498) all_0_63_63 = e4 % 21.12/5.52 | % 21.12/5.52 | Equations (498) can reduce 571 to: % 21.12/5.52 | (251) $false % 21.12/5.52 | % 21.12/5.52 |-The branch is then unsatisfiable % 21.12/5.52 |-Branch two: % 21.12/5.52 | (571) ~ (all_0_63_63 = e4) % 21.12/5.52 | (572) all_0_63_63 = e2 | all_0_63_63 = e0 % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (2), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (1840) all_0_57_57 = e0 % 21.12/5.52 | % 21.12/5.52 | Combining equations (335,1840) yields a new equation: % 21.12/5.52 | (354) e2 = e0 % 21.12/5.52 | % 21.12/5.52 | Simplifying 354 yields: % 21.12/5.52 | (355) e2 = e0 % 21.12/5.52 | % 21.12/5.52 | Equations (355) can reduce 48 to: % 21.12/5.52 | (251) $false % 21.12/5.52 | % 21.12/5.52 |-The branch is then unsatisfiable % 21.12/5.52 |-Branch two: % 21.12/5.52 | (1147) ~ (all_0_57_57 = e0) % 21.12/5.52 | (2532) all_0_61_61 = e0 | all_0_65_65 = e0 | all_0_69_69 = e0 % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (572), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (573) all_0_63_63 = e2 % 21.12/5.52 | % 21.12/5.52 | Equations (573) can reduce 226 to: % 21.12/5.52 | (369) ~ (all_0_71_71 = e2) % 21.12/5.52 | % 21.12/5.52 | Simplifying 369 yields: % 21.12/5.52 | (370) ~ (all_0_71_71 = e2) % 21.12/5.52 | % 21.12/5.52 | Equations (573) can reduce 119 to: % 21.12/5.52 | (184) ~ (e2 = e1) % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (2532), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (467) all_0_61_61 = e0 % 21.12/5.52 | % 21.12/5.52 | Combining equations (509,467) yields a new equation: % 21.12/5.52 | (531) e4 = e0 % 21.12/5.52 | % 21.12/5.52 | Simplifying 531 yields: % 21.12/5.52 | (510) e4 = e0 % 21.12/5.52 | % 21.12/5.52 | Equations (510) can reduce 17 to: % 21.12/5.52 | (251) $false % 21.12/5.52 | % 21.12/5.52 |-The branch is then unsatisfiable % 21.12/5.52 |-Branch two: % 21.12/5.52 | (2164) ~ (all_0_61_61 = e0) % 21.12/5.52 | (2540) all_0_65_65 = e0 | all_0_69_69 = e0 % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (2540), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (1448) all_0_65_65 = e0 % 21.12/5.52 | % 21.12/5.52 | Combining equations (619,1448) yields a new equation: % 21.12/5.52 | (287) e1 = e0 % 21.12/5.52 | % 21.12/5.52 | Simplifying 287 yields: % 21.12/5.52 | (288) e1 = e0 % 21.12/5.52 | % 21.12/5.52 | Equations (288) can reduce 204 to: % 21.12/5.52 | (251) $false % 21.12/5.52 | % 21.12/5.52 |-The branch is then unsatisfiable % 21.12/5.52 |-Branch two: % 21.12/5.52 | (1154) ~ (all_0_65_65 = e0) % 21.12/5.52 | (1481) all_0_69_69 = e0 % 21.12/5.52 | % 21.12/5.52 | Equations (1481) can reduce 221 to: % 21.12/5.52 | (2944) ~ (all_0_70_70 = e0) % 21.12/5.52 | % 21.12/5.52 | Simplifying 2944 yields: % 21.12/5.52 | (471) ~ (all_0_70_70 = e0) % 21.12/5.52 | % 21.12/5.52 | Equations (1481) can reduce 47 to: % 21.12/5.52 | (1531) ~ (all_0_71_71 = e0) % 21.12/5.52 | % 21.12/5.52 | Simplifying 1531 yields: % 21.12/5.52 | (1532) ~ (all_0_71_71 = e0) % 21.12/5.52 | % 21.12/5.52 | Equations (1481) can reduce 482 to: % 21.12/5.52 | (514) ~ (e4 = e0) % 21.12/5.52 | % 21.12/5.52 | Simplifying 514 yields: % 21.12/5.52 | (17) ~ (e4 = e0) % 21.12/5.52 | % 21.12/5.52 | Equations (1481) can reduce 731 to: % 21.12/5.52 | (274) ~ (e2 = e0) % 21.12/5.52 | % 21.12/5.52 | Simplifying 274 yields: % 21.12/5.52 | (48) ~ (e2 = e0) % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (145), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (1077) all_0_59_59 = e0 % 21.12/5.52 | % 21.12/5.52 | Equations (1077) can reduce 229 to: % 21.12/5.52 | (263) ~ (all_0_58_58 = e0) % 21.12/5.52 | % 21.12/5.52 | Equations (1077) can reduce 28 to: % 21.12/5.52 | (1531) ~ (all_0_71_71 = e0) % 21.12/5.52 | % 21.12/5.52 | Simplifying 1531 yields: % 21.12/5.52 | (1532) ~ (all_0_71_71 = e0) % 21.12/5.52 | % 21.12/5.52 | Equations (1077) can reduce 171 to: % 21.12/5.52 | (276) ~ (e1 = e0) % 21.12/5.52 | % 21.12/5.52 | Simplifying 276 yields: % 21.12/5.52 | (204) ~ (e1 = e0) % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (45), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (302) all_0_64_64 = e3 % 21.12/5.52 | % 21.12/5.52 | Equations (302) can reduce 198 to: % 21.12/5.52 | (128) ~ (e3 = e2) % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (42), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (845) all_0_62_62 = e4 % 21.12/5.52 | % 21.12/5.52 | Combining equations (327,845) yields a new equation: % 21.12/5.52 | (1244) e4 = e1 % 21.12/5.52 | % 21.12/5.52 | Equations (1244) can reduce 193 to: % 21.12/5.52 | (251) $false % 21.12/5.52 | % 21.12/5.52 |-The branch is then unsatisfiable % 21.12/5.52 |-Branch two: % 21.12/5.52 | (920) ~ (all_0_62_62 = e4) % 21.12/5.52 | (2296) all_0_66_66 = e4 | all_0_70_70 = e4 % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (2296), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (530) all_0_66_66 = e4 % 21.12/5.52 | % 21.12/5.52 | Equations (530) can reduce 534 to: % 21.12/5.52 | (251) $false % 21.12/5.52 | % 21.12/5.52 |-The branch is then unsatisfiable % 21.12/5.52 |-Branch two: % 21.12/5.52 | (534) ~ (all_0_66_66 = e4) % 21.12/5.52 | (500) all_0_70_70 = e4 % 21.12/5.52 | % 21.12/5.52 | Equations (500) can reduce 224 to: % 21.12/5.52 | (214) ~ (all_0_58_58 = e4) % 21.12/5.52 | % 21.12/5.52 | Equations (500) can reduce 7 to: % 21.12/5.52 | (49) ~ (e4 = e2) % 21.12/5.52 | % 21.12/5.52 | Equations (500) can reduce 471 to: % 21.12/5.52 | (17) ~ (e4 = e0) % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (33), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (292) all_0_68_68 = e3 % 21.12/5.52 | % 21.12/5.52 | Combining equations (292,729) yields a new equation: % 21.12/5.52 | (1620) e3 = e2 % 21.12/5.52 | % 21.12/5.52 | Simplifying 1620 yields: % 21.12/5.52 | (376) e3 = e2 % 21.12/5.52 | % 21.12/5.52 | Equations (376) can reduce 128 to: % 21.12/5.52 | (251) $false % 21.12/5.52 | % 21.12/5.52 |-The branch is then unsatisfiable % 21.12/5.52 |-Branch two: % 21.12/5.52 | (645) ~ (all_0_68_68 = e3) % 21.12/5.52 | (1050) all_0_70_70 = e3 | all_0_71_71 = e3 % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (167), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (395) all_0_58_58 = e3 % 21.12/5.52 | % 21.12/5.52 | Equations (395) can reduce 214 to: % 21.12/5.52 | (774) ~ (e4 = e3) % 21.12/5.52 | % 21.12/5.52 | Simplifying 774 yields: % 21.12/5.52 | (130) ~ (e4 = e3) % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (63), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (1457) ~ (all_0_66_66 = e0) % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (1050), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (597) all_0_70_70 = e3 % 21.12/5.52 | % 21.12/5.52 | Combining equations (597,500) yields a new equation: % 21.12/5.52 | (935) e4 = e3 % 21.12/5.52 | % 21.12/5.52 | Equations (935) can reduce 130 to: % 21.12/5.52 | (251) $false % 21.12/5.52 | % 21.12/5.52 |-The branch is then unsatisfiable % 21.12/5.52 |-Branch two: % 21.12/5.52 | (397) ~ (all_0_70_70 = e3) % 21.12/5.52 | (558) all_0_71_71 = e3 % 21.12/5.52 | % 21.12/5.52 | Equations (558) can reduce 1532 to: % 21.12/5.52 | (36) ~ (e3 = e0) % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (142), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (1060) all_0_58_58 = e0 % 21.12/5.52 | % 21.12/5.52 | Combining equations (395,1060) yields a new equation: % 21.12/5.52 | (390) e3 = e0 % 21.12/5.52 | % 21.12/5.52 | Simplifying 390 yields: % 21.12/5.52 | (391) e3 = e0 % 21.12/5.52 | % 21.12/5.52 | Equations (391) can reduce 36 to: % 21.12/5.52 | (251) $false % 21.12/5.52 | % 21.12/5.52 |-The branch is then unsatisfiable % 21.12/5.52 |-Branch two: % 21.12/5.52 | (263) ~ (all_0_58_58 = e0) % 21.12/5.52 | (2059) all_0_62_62 = e0 | all_0_66_66 = e0 | all_0_70_70 = e0 % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (2059), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (925) all_0_62_62 = e0 % 21.12/5.52 | % 21.12/5.52 | Combining equations (327,925) yields a new equation: % 21.12/5.52 | (287) e1 = e0 % 21.12/5.52 | % 21.12/5.52 | Simplifying 287 yields: % 21.12/5.52 | (288) e1 = e0 % 21.12/5.52 | % 21.12/5.52 | Equations (288) can reduce 204 to: % 21.12/5.52 | (251) $false % 21.12/5.52 | % 21.12/5.52 |-The branch is then unsatisfiable % 21.12/5.52 |-Branch two: % 21.12/5.52 | (838) ~ (all_0_62_62 = e0) % 21.12/5.52 | (2086) all_0_66_66 = e0 | all_0_70_70 = e0 % 21.12/5.52 | % 21.12/5.52 +-Applying beta-rule and splitting (2086), into two cases. % 21.12/5.52 |-Branch one: % 21.12/5.52 | (468) all_0_66_66 = e0 % 21.12/5.52 | % 21.12/5.52 | Equations (468) can reduce 1457 to: % 21.12/5.52 | (251) $false % 21.12/5.52 | % 21.12/5.52 |-The branch is then unsatisfiable % 21.12/5.52 |-Branch two: % 21.12/5.52 | (1457) ~ (all_0_66_66 = e0) % 21.12/5.52 | (1323) all_0_70_70 = e0 % 21.12/5.52 | % 21.12/5.52 | Combining equations (500,1323) yields a new equation: % 21.12/5.52 | (531) e4 = e0 % 21.12/5.52 | % 21.12/5.52 | Simplifying 531 yields: % 21.12/5.52 | (510) e4 = e0 % 21.12/5.52 | % 21.12/5.52 | Equations (510) can reduce 17 to: % 21.12/5.52 | (251) $false % 21.12/5.52 | % 21.12/5.52 |-The branch is then unsatisfiable % 21.12/5.52 |-Branch two: % 21.12/5.52 | (468) all_0_66_66 = e0 % 21.12/5.52 | (3475) all_0_56_56 = e2 | all_0_61_61 = e2 | all_0_71_71 = e2 | (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) | (all_0_60_60 = e2 & ~ (all_0_62_62 = e4)) | (all_0_63_63 = e2 & ~ (all_0_62_62 = e1)) | (all_0_68_68 = e2 & ~ (all_0_70_70 = e4)) | (all_0_69_69 = e2 & ~ (all_0_70_70 = e3)) % 21.12/5.53 | % 21.12/5.53 | Equations (468) can reduce 232 to: % 21.12/5.53 | (274) ~ (e2 = e0) % 21.12/5.53 | % 21.12/5.53 | Simplifying 274 yields: % 21.12/5.53 | (48) ~ (e2 = e0) % 21.12/5.53 | % 21.12/5.53 +-Applying beta-rule and splitting (3475), into two cases. % 21.12/5.53 |-Branch one: % 21.12/5.53 | (254) all_0_56_56 = e2 % 21.12/5.53 | % 21.12/5.53 | Combining equations (254,258) yields a new equation: % 21.12/5.53 | (336) e2 = e1 % 21.12/5.53 | % 21.12/5.53 | Simplifying 336 yields: % 21.12/5.53 | (337) e2 = e1 % 21.12/5.53 | % 21.12/5.53 | Equations (337) can reduce 184 to: % 21.12/5.53 | (251) $false % 21.12/5.53 | % 21.12/5.53 |-The branch is then unsatisfiable % 21.12/5.53 |-Branch two: % 21.12/5.53 | (247) ~ (all_0_56_56 = e2) % 21.12/5.53 | (3480) all_0_61_61 = e2 | all_0_71_71 = e2 | (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) | (all_0_60_60 = e2 & ~ (all_0_62_62 = e4)) | (all_0_63_63 = e2 & ~ (all_0_62_62 = e1)) | (all_0_68_68 = e2 & ~ (all_0_70_70 = e4)) | (all_0_69_69 = e2 & ~ (all_0_70_70 = e3)) % 21.12/5.53 | % 21.12/5.53 +-Applying beta-rule and splitting (3480), into two cases. % 21.12/5.53 |-Branch one: % 21.12/5.53 | (341) all_0_61_61 = e2 % 21.12/5.53 | % 21.12/5.53 | Combining equations (509,341) yields a new equation: % 21.12/5.53 | (479) e4 = e2 % 21.12/5.53 | % 21.12/5.53 | Simplifying 479 yields: % 21.12/5.53 | (480) e4 = e2 % 21.12/5.53 | % 21.12/5.53 | Equations (480) can reduce 49 to: % 21.12/5.53 | (251) $false % 21.12/5.53 | % 21.12/5.53 |-The branch is then unsatisfiable % 21.12/5.53 |-Branch two: % 21.12/5.53 | (244) ~ (all_0_61_61 = e2) % 21.12/5.53 | (3485) all_0_71_71 = e2 | (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) | (all_0_60_60 = e2 & ~ (all_0_62_62 = e4)) | (all_0_63_63 = e2 & ~ (all_0_62_62 = e1)) | (all_0_68_68 = e2 & ~ (all_0_70_70 = e4)) | (all_0_69_69 = e2 & ~ (all_0_70_70 = e3)) % 21.12/5.53 | % 21.12/5.53 +-Applying beta-rule and splitting (3485), into two cases. % 21.12/5.53 |-Branch one: % 21.12/5.53 | (563) all_0_71_71 = e2 % 21.12/5.53 | % 21.12/5.53 | Equations (563) can reduce 370 to: % 21.12/5.53 | (251) $false % 21.12/5.53 | % 21.12/5.53 |-The branch is then unsatisfiable % 21.12/5.53 |-Branch two: % 21.12/5.53 | (370) ~ (all_0_71_71 = e2) % 21.12/5.53 | (3490) (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) | (all_0_60_60 = e2 & ~ (all_0_62_62 = e4)) | (all_0_63_63 = e2 & ~ (all_0_62_62 = e1)) | (all_0_68_68 = e2 & ~ (all_0_70_70 = e4)) | (all_0_69_69 = e2 & ~ (all_0_70_70 = e3)) % 21.12/5.53 | % 21.12/5.53 +-Applying beta-rule and splitting (3490), into two cases. % 21.12/5.53 |-Branch one: % 21.12/5.53 | (3491) (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) | (all_0_60_60 = e2 & ~ (all_0_62_62 = e4)) | (all_0_63_63 = e2 & ~ (all_0_62_62 = e1)) | (all_0_68_68 = e2 & ~ (all_0_70_70 = e4)) % 21.12/5.53 | % 21.12/5.53 +-Applying beta-rule and splitting (3491), into two cases. % 21.12/5.53 |-Branch one: % 21.12/5.53 | (3492) (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) | (all_0_60_60 = e2 & ~ (all_0_62_62 = e4)) | (all_0_63_63 = e2 & ~ (all_0_62_62 = e1)) % 21.12/5.53 | % 21.12/5.53 +-Applying beta-rule and splitting (3492), into two cases. % 21.12/5.53 |-Branch one: % 21.12/5.53 | (3493) (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) | (all_0_60_60 = e2 & ~ (all_0_62_62 = e4)) % 21.12/5.53 | % 21.12/5.53 +-Applying beta-rule and splitting (3493), into two cases. % 21.12/5.53 |-Branch one: % 21.12/5.53 | (3494) (all_0_57_57 = e2 & ~ (all_0_58_58 = e3)) | (all_0_59_59 = e2 & ~ (all_0_58_58 = e1)) % 21.12/5.53 | % 21.12/5.53 +-Applying beta-rule and splitting (3494), into two cases. % 21.12/5.53 |-Branch one: % 21.12/5.53 | (3495) all_0_57_57 = e2 & ~ (all_0_58_58 = e3) % 21.12/5.53 | % 21.12/5.53 | Applying alpha-rule on (3495) yields: % 21.12/5.53 | (335) all_0_57_57 = e2 % 21.12/5.53 | (621) ~ (all_0_58_58 = e3) % 21.12/5.53 | % 21.12/5.53 | Equations (395) can reduce 621 to: % 21.12/5.53 | (251) $false % 21.12/5.53 | % 21.12/5.53 |-The branch is then unsatisfiable % 21.12/5.53 |-Branch two: % 21.12/5.53 | (3501) all_0_59_59 = e2 & ~ (all_0_58_58 = e1) % 21.12/5.53 | % 21.12/5.53 | Applying alpha-rule on (3501) yields: % 21.12/5.53 | (364) all_0_59_59 = e2 % 21.12/5.53 | (315) ~ (all_0_58_58 = e1) % 21.12/5.53 | % 21.12/5.53 | Combining equations (364,1077) yields a new equation: % 21.12/5.53 | (354) e2 = e0 % 21.12/5.53 | % 21.12/5.53 | Simplifying 354 yields: % 21.12/5.53 | (355) e2 = e0 % 21.12/5.53 | % 21.12/5.53 | Equations (355) can reduce 48 to: % 21.12/5.53 | (251) $false % 21.12/5.53 | % 21.12/5.53 |-The branch is then unsatisfiable % 21.12/5.53 |-Branch two: % 21.12/5.53 | (3505) all_0_60_60 = e2 & ~ (all_0_62_62 = e4) % 21.12/5.53 | % 21.12/5.53 | Applying alpha-rule on (3505) yields: % 21.12/5.53 | (278) all_0_60_60 = e2 % 21.12/5.53 | (920) ~ (all_0_62_62 = e4) % 21.12/5.53 | % 21.12/5.53 | Combining equations (278,1119) yields a new equation: % 21.12/5.53 | (354) e2 = e0 % 21.12/5.53 | % 21.12/5.53 | Simplifying 354 yields: % 21.12/5.53 | (355) e2 = e0 % 21.12/5.53 | % 21.12/5.53 | Equations (355) can reduce 48 to: % 21.12/5.53 | (251) $false % 21.12/5.53 | % 21.12/5.53 |-The branch is then unsatisfiable % 21.12/5.53 |-Branch two: % 21.12/5.53 | (3509) all_0_63_63 = e2 & ~ (all_0_62_62 = e1) % 21.12/5.53 | % 21.12/5.53 | Applying alpha-rule on (3509) yields: % 21.12/5.53 | (573) all_0_63_63 = e2 % 21.12/5.53 | (632) ~ (all_0_62_62 = e1) % 21.12/5.53 | % 21.12/5.53 | Equations (327) can reduce 632 to: % 21.12/5.53 | (251) $false % 21.12/5.53 | % 21.12/5.53 |-The branch is then unsatisfiable % 21.12/5.53 |-Branch two: % 21.12/5.53 | (3514) all_0_68_68 = e2 & ~ (all_0_70_70 = e4) % 21.12/5.53 | % 21.12/5.53 | Applying alpha-rule on (3514) yields: % 21.12/5.53 | (729) all_0_68_68 = e2 % 21.12/5.53 | (567) ~ (all_0_70_70 = e4) % 21.12/5.53 | % 21.12/5.53 | Equations (500) can reduce 567 to: % 21.12/5.53 | (251) $false % 21.12/5.53 | % 21.12/5.53 |-The branch is then unsatisfiable % 21.12/5.53 |-Branch two: % 21.12/5.53 | (3519) all_0_69_69 = e2 & ~ (all_0_70_70 = e3) % 21.12/5.53 | % 21.12/5.53 | Applying alpha-rule on (3519) yields: % 21.12/5.53 | (344) all_0_69_69 = e2 % 21.12/5.53 | (397) ~ (all_0_70_70 = e3) % 21.12/5.53 | % 21.12/5.53 | Combining equations (1481,344) yields a new equation: % 21.12/5.53 | (355) e2 = e0 % 21.12/5.53 | % 21.12/5.53 | Equations (355) can reduce 48 to: % 21.12/5.53 | (251) $false % 21.12/5.53 | % 21.12/5.53 |-The branch is then unsatisfiable % 21.12/5.53 |-Branch two: % 21.12/5.53 | (621) ~ (all_0_58_58 = e3) % 21.12/5.53 | (622) all_0_58_58 = e1 | all_0_58_58 = e0 % 21.12/5.53 | % 21.12/5.53 +-Applying beta-rule and splitting (622), into two cases. % 21.12/5.53 |-Branch one: % 21.12/5.53 | (323) all_0_58_58 = e1 % 21.12/5.53 | % 21.12/5.53 | Equations (323) can reduce 315 to: % 21.12/5.53 | (251) $false % 21.12/5.53 | % 21.12/5.53 |-The branch is then unsatisfiable % 21.12/5.53 |-Branch two: % 21.12/5.53 | (315) ~ (all_0_58_58 = e1) % 21.12/5.53 | (1060) all_0_58_58 = e0 % 21.12/5.53 | % 21.12/5.53 | Equations (1060) can reduce 263 to: % 21.12/5.53 | (251) $false % 21.12/5.53 | % 21.12/5.53 |-The branch is then unsatisfiable % 21.12/5.53 |-Branch two: % 21.12/5.53 | (293) ~ (all_0_64_64 = e3) % 21.12/5.53 | (305) all_0_64_64 = e1 | all_0_64_64 = e0 % 21.12/5.53 | % 21.12/5.53 +-Applying beta-rule and splitting (305), into two cases. % 21.12/5.53 |-Branch one: % 21.12/5.53 | (306) all_0_64_64 = e1 % 21.12/5.53 | % 21.12/5.53 | Equations (306) can reduce 642 to: % 21.12/5.53 | (251) $false % 21.12/5.53 | % 21.12/5.53 |-The branch is then unsatisfiable % 21.12/5.53 |-Branch two: % 21.12/5.53 | (642) ~ (all_0_64_64 = e1) % 21.12/5.53 | (643) all_0_64_64 = e0 % 21.12/5.53 | % 21.12/5.53 | Equations (643) can reduce 269 to: % 21.12/5.53 | (251) $false % 21.12/5.53 | % 21.12/5.53 |-The branch is then unsatisfiable % 21.12/5.53 |-Branch two: % 21.12/5.53 | (265) ~ (all_0_59_59 = e0) % 21.12/5.53 | (1786) all_0_63_63 = e0 | all_0_67_67 = e0 | all_0_71_71 = e0 % 21.12/5.53 | % 21.12/5.53 +-Applying beta-rule and splitting (1786), into two cases. % 21.12/5.53 |-Branch one: % 21.12/5.53 | (576) all_0_63_63 = e0 % 21.12/5.53 | % 21.12/5.53 | Combining equations (573,576) yields a new equation: % 21.12/5.53 | (354) e2 = e0 % 21.12/5.53 | % 21.12/5.53 | Simplifying 354 yields: % 21.12/5.53 | (355) e2 = e0 % 21.12/5.53 | % 21.12/5.53 | Equations (355) can reduce 48 to: % 21.12/5.53 | (251) $false % 21.12/5.53 | % 21.12/5.53 |-The branch is then unsatisfiable % 21.12/5.53 |-Branch two: % 21.12/5.53 | (470) ~ (all_0_63_63 = e0) % 21.12/5.53 | (1790) all_0_67_67 = e0 | all_0_71_71 = e0 % 21.12/5.53 | % 21.12/5.53 +-Applying beta-rule and splitting (1790), into two cases. % 21.12/5.53 |-Branch one: % 21.12/5.53 | (1458) all_0_67_67 = e0 % 21.12/5.53 | % 21.12/5.53 | Combining equations (1251,1458) yields a new equation: % 21.12/5.53 | (531) e4 = e0 % 21.12/5.53 | % 21.12/5.53 | Simplifying 531 yields: % 21.12/5.53 | (510) e4 = e0 % 21.12/5.53 | % 21.12/5.53 | Equations (510) can reduce 17 to: % 21.12/5.53 | (251) $false % 21.12/5.53 | % 21.12/5.53 |-The branch is then unsatisfiable % 21.12/5.53 |-Branch two: % 21.12/5.53 | (1182) ~ (all_0_67_67 = e0) % 21.12/5.53 | (469) all_0_71_71 = e0 % 21.12/5.53 | % 21.12/5.53 | Equations (469) can reduce 1532 to: % 21.12/5.53 | (251) $false % 21.12/5.53 | % 21.12/5.53 |-The branch is then unsatisfiable % 21.12/5.53 |-Branch two: % 21.12/5.53 | (366) ~ (all_0_63_63 = e2) % 21.12/5.53 | (576) all_0_63_63 = e0 % 21.12/5.53 | % 21.12/5.53 | Equations (576) can reduce 470 to: % 21.12/5.53 | (251) $false % 21.12/5.53 | % 21.12/5.53 |-The branch is then unsatisfiable % 21.12/5.53 |-Branch two: % 21.12/5.53 | (1581) ~ (all_0_67_67 = e4) % 21.12/5.53 | (552) all_0_71_71 = e4 % 21.12/5.53 | % 21.12/5.53 | Equations (552) can reduce 556 to: % 21.12/5.53 | (251) $false % 21.12/5.53 | % 21.12/5.53 |-The branch is then unsatisfiable % 21.12/5.53 |-Branch two: % 21.12/5.53 | (512) ~ (all_0_61_61 = e4) % 21.12/5.53 | (1138) all_0_61_61 = e2 | all_0_61_61 = e1 | all_0_61_61 = e0 % 21.12/5.53 | % 21.12/5.53 +-Applying beta-rule and splitting (1138), into two cases. % 21.12/5.53 |-Branch one: % 21.12/5.53 | (341) all_0_61_61 = e2 % 21.12/5.53 | % 21.12/5.53 | Equations (341) can reduce 244 to: % 21.12/5.53 | (251) $false % 21.12/5.53 | % 21.12/5.53 |-The branch is then unsatisfiable % 21.12/5.53 |-Branch two: % 21.12/5.53 | (244) ~ (all_0_61_61 = e2) % 21.12/5.53 | (1142) all_0_61_61 = e1 | all_0_61_61 = e0 % 21.12/5.53 | % 21.12/5.53 +-Applying beta-rule and splitting (1142), into two cases. % 21.12/5.53 |-Branch one: % 21.12/5.53 | (523) all_0_61_61 = e1 % 21.12/5.53 | % 21.12/5.53 | Equations (523) can reduce 246 to: % 21.12/5.53 | (251) $false % 21.12/5.53 | % 21.12/5.53 |-The branch is then unsatisfiable % 21.12/5.53 |-Branch two: % 21.12/5.53 | (246) ~ (all_0_61_61 = e1) % 21.12/5.53 | (467) all_0_61_61 = e0 % 21.12/5.53 | % 21.12/5.53 | Equations (467) can reduce 2164 to: % 21.12/5.53 | (251) $false % 21.12/5.53 | % 21.12/5.53 |-The branch is then unsatisfiable % 21.12/5.53 |-Branch two: % 21.12/5.53 | (339) ~ (all_0_57_57 = e2) % 21.12/5.53 | (340) all_0_61_61 = e2 | all_0_69_69 = e2 % 21.12/5.53 | % 21.12/5.53 +-Applying beta-rule and splitting (340), into two cases. % 21.12/5.53 |-Branch one: % 21.12/5.53 | (341) all_0_61_61 = e2 % 21.12/5.53 | % 21.12/5.53 | Equations (341) can reduce 244 to: % 21.12/5.53 | (251) $false % 21.12/5.53 | % 21.12/5.53 |-The branch is then unsatisfiable % 21.12/5.53 |-Branch two: % 21.12/5.53 | (244) ~ (all_0_61_61 = e2) % 21.12/5.53 | (344) all_0_69_69 = e2 % 21.12/5.53 | % 21.12/5.53 | Equations (344) can reduce 731 to: % 21.12/5.53 | (251) $false % 21.12/5.53 | % 21.12/5.53 |-The branch is then unsatisfiable % 21.12/5.53 |-Branch two: % 21.12/5.53 | (632) ~ (all_0_62_62 = e1) % 21.12/5.53 | (546) all_0_66_66 = e1 % 21.12/5.53 | % 21.12/5.53 | Equations (546) can reduce 248 to: % 21.12/5.53 | (251) $false % 21.12/5.53 | % 21.12/5.53 |-The branch is then unsatisfiable % 21.12/5.53 |-Branch two: % 21.12/5.54 | (546) all_0_66_66 = e1 % 21.12/5.54 | (370) ~ (all_0_71_71 = e2) % 21.12/5.54 | % 21.12/5.54 | Equations (546) can reduce 216 to: % 21.12/5.54 | (315) ~ (all_0_58_58 = e1) % 21.12/5.54 | % 21.12/5.54 | Equations (546) can reduce 100 to: % 21.12/5.54 | (642) ~ (all_0_64_64 = e1) % 21.12/5.54 | % 21.12/5.54 | Equations (546) can reduce 66 to: % 21.12/5.54 | (308) ~ (all_0_65_65 = e1) % 21.12/5.54 | % 21.12/5.54 | Equations (546) can reduce 82 to: % 21.12/5.54 | (716) ~ (all_0_70_70 = e1) % 21.12/5.54 | % 21.12/5.54 | Simplifying 716 yields: % 21.12/5.54 | (93) ~ (all_0_70_70 = e1) % 21.12/5.54 | % 21.12/5.54 +-Applying beta-rule and splitting (230), into two cases. % 21.12/5.54 |-Branch one: % 21.12/5.54 | (313) all_0_57_57 = e1 % 21.12/5.54 | % 21.12/5.54 | Equations (313) can reduce 635 to: % 21.12/5.54 | (251) $false % 21.12/5.54 | % 21.12/5.54 |-The branch is then unsatisfiable % 21.12/5.54 |-Branch two: % 21.12/5.54 | (635) ~ (all_0_57_57 = e1) % 21.12/5.54 | (636) all_0_61_61 = e1 | all_0_65_65 = e1 % 21.12/5.54 | % 21.12/5.54 +-Applying beta-rule and splitting (636), into two cases. % 21.12/5.54 |-Branch one: % 21.12/5.54 | (523) all_0_61_61 = e1 % 21.12/5.54 | % 21.12/5.54 | Equations (523) can reduce 126 to: % 21.12/5.54 | (635) ~ (all_0_57_57 = e1) % 21.12/5.54 | % 21.12/5.54 | Equations (523) can reduce 39 to: % 21.12/5.54 | (651) ~ (all_0_60_60 = e1) % 21.12/5.54 | % 21.12/5.54 | Equations (523) can reduce 189 to: % 21.12/5.54 | (712) ~ (all_0_62_62 = e1) % 21.12/5.54 | % 21.12/5.54 | Simplifying 712 yields: % 21.12/5.54 | (632) ~ (all_0_62_62 = e1) % 21.12/5.54 | % 21.12/5.54 | Equations (523) can reduce 44 to: % 21.12/5.54 | (671) ~ (all_0_63_63 = e1) % 21.12/5.54 | % 21.12/5.54 | Simplifying 671 yields: % 21.12/5.54 | (119) ~ (all_0_63_63 = e1) % 21.12/5.54 | % 21.12/5.54 | Equations (523) can reduce 176 to: % 21.12/5.54 | (307) ~ (all_0_65_65 = e1) % 21.12/5.54 | % 21.12/5.54 | Simplifying 307 yields: % 21.12/5.54 | (308) ~ (all_0_65_65 = e1) % 21.12/5.54 | % 21.12/5.54 | Equations (523) can reduce 104 to: % 21.12/5.54 | (318) ~ (all_0_69_69 = e1) % 21.12/5.54 | % 21.12/5.54 | Simplifying 318 yields: % 21.12/5.54 | (156) ~ (all_0_69_69 = e1) % 21.12/5.54 | % 21.12/5.54 | Equations (523) can reduce 87 to: % 21.12/5.54 | (736) ~ (e3 = e1) % 21.12/5.54 | % 21.12/5.54 | Simplifying 736 yields: % 21.12/5.54 | (15) ~ (e3 = e1) % 21.12/5.54 | % 21.12/5.54 +-Applying beta-rule and splitting (132), into two cases. % 21.12/5.54 |-Branch one: % 21.12/5.54 | (246) ~ (all_0_61_61 = e1) % 21.12/5.54 | % 21.12/5.54 | Equations (523) can reduce 246 to: % 21.12/5.54 | (251) $false % 21.12/5.54 | % 21.12/5.54 |-The branch is then unsatisfiable % 21.12/5.54 |-Branch two: % 21.12/5.54 | (523) all_0_61_61 = e1 % 21.12/5.54 | (297) ~ (all_0_71_71 = e3) % 21.12/5.54 | % 21.12/5.54 +-Applying beta-rule and splitting (125), into two cases. % 21.12/5.54 |-Branch one: % 21.12/5.54 | (552) all_0_71_71 = e4 % 21.12/5.54 | % 21.12/5.54 | Equations (552) can reduce 556 to: % 21.12/5.54 | (251) $false % 21.12/5.54 | % 21.12/5.54 |-The branch is then unsatisfiable % 21.12/5.54 |-Branch two: % 21.12/5.54 | (556) ~ (all_0_71_71 = e4) % 21.12/5.54 | (4448) all_0_71_71 = e3 | all_0_71_71 = e2 | all_0_71_71 = e0 % 21.12/5.54 | % 21.12/5.54 +-Applying beta-rule and splitting (4448), into two cases. % 21.12/5.54 |-Branch one: % 21.12/5.54 | (558) all_0_71_71 = e3 % 21.12/5.54 | % 21.12/5.54 | Equations (558) can reduce 297 to: % 21.12/5.54 | (251) $false % 21.12/5.54 | % 21.12/5.54 |-The branch is then unsatisfiable % 21.12/5.54 |-Branch two: % 21.12/5.54 | (297) ~ (all_0_71_71 = e3) % 21.12/5.54 | (4532) all_0_71_71 = e2 | all_0_71_71 = e0 % 21.12/5.54 | % 21.12/5.54 +-Applying beta-rule and splitting (4532), into two cases. % 21.12/5.54 |-Branch one: % 21.12/5.54 | (563) all_0_71_71 = e2 % 21.12/5.54 | % 21.12/5.54 | Equations (563) can reduce 370 to: % 21.12/5.54 | (251) $false % 21.12/5.54 | % 21.12/5.54 |-The branch is then unsatisfiable % 21.12/5.54 |-Branch two: % 21.12/5.54 | (370) ~ (all_0_71_71 = e2) % 21.12/5.54 | (469) all_0_71_71 = e0 % 21.12/5.54 | % 21.12/5.54 | Equations (469) can reduce 28 to: % 21.12/5.54 | (265) ~ (all_0_59_59 = e0) % 21.12/5.54 | % 21.12/5.54 | Equations (469) can reduce 226 to: % 21.12/5.54 | (470) ~ (all_0_63_63 = e0) % 21.12/5.54 | % 21.12/5.54 | Equations (469) can reduce 26 to: % 21.12/5.54 | (1182) ~ (all_0_67_67 = e0) % 21.12/5.54 | % 21.12/5.54 | Equations (469) can reduce 47 to: % 21.12/5.54 | (1156) ~ (all_0_69_69 = e0) % 21.12/5.54 | % 21.12/5.54 | Equations (469) can reduce 94 to: % 21.12/5.54 | (471) ~ (all_0_70_70 = e0) % 21.12/5.54 | % 21.12/5.54 | Equations (469) can reduce 297 to: % 21.12/5.54 | (272) ~ (e3 = e0) % 21.12/5.54 | % 21.12/5.54 | Simplifying 272 yields: % 21.12/5.54 | (36) ~ (e3 = e0) % 21.12/5.54 | % 21.12/5.54 +-Applying beta-rule and splitting (207), into two cases. % 21.12/5.54 |-Branch one: % 21.12/5.54 | (375) all_0_59_59 = e3 % 21.12/5.54 | % 21.12/5.54 | Equations (375) can reduce 229 to: % 21.12/5.54 | (621) ~ (all_0_58_58 = e3) % 21.12/5.54 | % 21.12/5.54 | Equations (375) can reduce 22 to: % 21.12/5.54 | (770) ~ (all_0_67_67 = e3) % 21.12/5.54 | % 21.12/5.54 | Simplifying 770 yields: % 21.12/5.54 | (629) ~ (all_0_67_67 = e3) % 21.12/5.54 | % 21.12/5.54 | Equations (375) can reduce 171 to: % 21.12/5.54 | (15) ~ (e3 = e1) % 21.12/5.54 | % 21.12/5.54 | From (375) and (187) follows: % 21.12/5.54 | (4205) op(e3, e4) = all_0_5_5 % 21.12/5.54 | % 21.12/5.54 +-Applying beta-rule and splitting (10), into two cases. % 21.12/5.54 |-Branch one: % 21.12/5.54 | (1251) all_0_67_67 = e4 % 21.12/5.54 | % 21.12/5.54 | Equations (1251) can reduce 116 to: % 21.12/5.54 | (571) ~ (all_0_63_63 = e4) % 21.12/5.54 | % 21.12/5.54 | Equations (1251) can reduce 196 to: % 21.12/5.54 | (115) ~ (all_0_64_64 = e4) % 21.12/5.54 | % 21.12/5.54 | Equations (1251) can reduce 629 to: % 21.12/5.54 | (130) ~ (e4 = e3) % 21.12/5.54 | % 21.12/5.54 | Equations (1251) can reduce 1182 to: % 21.12/5.54 | (17) ~ (e4 = e0) % 21.12/5.54 | % 21.12/5.54 | From (1251) and (143) follows: % 21.12/5.54 | (1253) op(e4, e2) = all_0_19_19 % 21.12/5.54 | % 21.12/5.54 | From (1251) and (173) follows: % 21.12/5.54 | (1255) op(e2, e4) = all_0_54_54 % 21.12/5.54 | % 21.12/5.54 | From (1251) and (16) follows: % 21.12/5.54 | (1257) op(e1, e4) = all_0_53_53 % 21.12/5.54 | % 21.12/5.54 +-Applying beta-rule and splitting (140), into two cases. % 21.12/5.54 |-Branch one: % 21.12/5.54 | (498) all_0_63_63 = e4 % 21.12/5.54 | % 21.12/5.54 | Equations (498) can reduce 571 to: % 21.12/5.54 | (251) $false % 21.12/5.54 | % 21.12/5.54 |-The branch is then unsatisfiable % 21.12/5.54 |-Branch two: % 21.12/5.54 | (571) ~ (all_0_63_63 = e4) % 21.12/5.54 | (572) all_0_63_63 = e2 | all_0_63_63 = e0 % 21.12/5.54 | % 21.12/5.54 +-Applying beta-rule and splitting (54), into two cases. % 21.12/5.54 |-Branch one: % 21.12/5.54 | (395) all_0_58_58 = e3 % 21.12/5.54 | % 21.12/5.54 | Equations (395) can reduce 621 to: % 21.12/5.54 | (251) $false % 21.12/5.54 | % 21.12/5.54 |-The branch is then unsatisfiable % 21.12/5.54 |-Branch two: % 21.12/5.54 | (621) ~ (all_0_58_58 = e3) % 21.12/5.54 | (758) all_0_66_66 = e3 | all_0_70_70 = e3 % 21.12/5.54 | % 21.12/5.54 +-Applying beta-rule and splitting (572), into two cases. % 21.12/5.54 |-Branch one: % 21.12/5.54 | (573) all_0_63_63 = e2 % 21.12/5.54 | % 21.12/5.54 | Equations (573) can reduce 76 to: % 21.12/5.54 | (666) ~ (all_0_60_60 = e2) % 21.12/5.54 | % 21.12/5.54 | Equations (573) can reduce 119 to: % 21.12/5.54 | (184) ~ (e2 = e1) % 21.12/5.54 | % 21.12/5.54 | From (573) and (62) follows: % 21.12/5.54 | (749) op(e2, e3) = all_0_12_12 % 21.12/5.54 | % 21.12/5.54 +-Applying beta-rule and splitting (170), into two cases. % 21.12/5.54 |-Branch one: % 21.12/5.54 | (302) all_0_64_64 = e3 % 21.12/5.54 | % 21.12/5.54 | Equations (302) can reduce 218 to: % 21.12/5.54 | (46) ~ (all_0_60_60 = e3) % 21.12/5.54 | % 21.12/5.54 | Equations (302) can reduce 115 to: % 21.12/5.54 | (774) ~ (e4 = e3) % 21.12/5.54 | % 21.12/5.54 | Simplifying 774 yields: % 21.12/5.54 | (130) ~ (e4 = e3) % 21.12/5.54 | % 21.12/5.54 | Equations (302) can reduce 642 to: % 21.12/5.54 | (15) ~ (e3 = e1) % 21.12/5.54 | % 21.12/5.54 | From (302) and (179) follows: % 21.12/5.54 | (4247) op(e3, e4) = all_0_15_15 % 21.12/5.54 | % 21.12/5.54 | From (302) and (234) follows: % 21.12/5.54 | (697) op(e3, e2) = all_0_14_14 % 21.12/5.54 | % 21.12/5.54 | From (302) and (152) follows: % 21.12/5.54 | (4913) op(e4, e3) = all_0_31_31 % 21.12/5.54 | % 21.12/5.54 | From (302) and (133) follows: % 21.12/5.54 | (698) op(e2, e3) = all_0_32_32 % 21.12/5.54 | % 21.12/5.54 | From (302) and (195) follows: % 21.12/5.54 | (4915) op(e2, e4) = e3 % 21.12/5.54 | % 21.12/5.54 +-Applying beta-rule and splitting (758), into two cases. % 21.12/5.54 |-Branch one: % 21.12/5.54 | (538) all_0_66_66 = e3 % 21.12/5.54 | % 21.12/5.54 | Combining equations (546,538) yields a new equation: % 21.12/5.54 | (661) e3 = e1 % 21.12/5.54 | % 21.12/5.54 | Equations (661) can reduce 15 to: % 21.12/5.54 | (251) $false % 21.12/5.54 | % 21.12/5.54 |-The branch is then unsatisfiable % 21.12/5.54 |-Branch two: % 21.12/5.54 | (542) ~ (all_0_66_66 = e3) % 21.12/5.54 | (597) all_0_70_70 = e3 % 21.12/5.54 | % 21.12/5.54 | Equations (597) can reduce 224 to: % 21.12/5.54 | (621) ~ (all_0_58_58 = e3) % 21.12/5.54 | % 21.12/5.54 | Equations (597) can reduce 205 to: % 21.12/5.54 | (645) ~ (all_0_68_68 = e3) % 21.12/5.54 | % 21.12/5.54 | Equations (597) can reduce 7 to: % 21.12/5.54 | (128) ~ (e3 = e2) % 21.12/5.54 | % 21.12/5.54 | Equations (597) can reduce 93 to: % 21.12/5.54 | (15) ~ (e3 = e1) % 21.12/5.54 | % 21.12/5.54 | From (597) and (35) follows: % 21.12/5.54 | (766) op(e2, e3) = all_0_47_47 % 21.12/5.54 | % 21.12/5.54 +-Applying beta-rule and splitting (157), into two cases. % 21.12/5.54 |-Branch one: % 21.12/5.54 | (478) all_0_69_69 = e4 % 21.12/5.54 | % 21.12/5.54 | Equations (478) can reduce 194 to: % 21.12/5.54 | (14) ~ (all_0_68_68 = e4) % 21.12/5.54 | % 21.12/5.54 | Equations (478) can reduce 156 to: % 21.12/5.54 | (193) ~ (e4 = e1) % 21.12/5.54 | % 21.12/5.54 | From (478) and (69) follows: % 21.12/5.54 | (4929) op(e4, e3) = all_0_24_24 % 21.12/5.54 | % 21.12/5.54 | From (478) and (105) follows: % 21.12/5.54 | (4165) op(e3, e4) = all_0_40_40 % 21.12/5.54 | % 21.12/5.54 | From (478) and (163) follows: % 21.12/5.54 | (1171) op(e1, e4) = all_0_41_41 % 21.12/5.54 | % 21.12/5.54 +-Applying beta-rule and splitting (68), into two cases. % 21.12/5.54 |-Branch one: % 21.12/5.54 | (278) all_0_60_60 = e2 % 21.12/5.54 | % 21.12/5.54 | Equations (278) can reduce 666 to: % 21.12/5.54 | (251) $false % 21.12/5.54 | % 21.12/5.54 |-The branch is then unsatisfiable % 21.12/5.54 |-Branch two: % 21.12/5.54 | (666) ~ (all_0_60_60 = e2) % 21.12/5.54 | (667) all_0_60_60 = e1 | all_0_60_60 = e0 % 21.12/5.54 | % 21.12/5.54 +-Applying beta-rule and splitting (153), into two cases. % 21.12/5.54 |-Branch one: % 21.12/5.54 | (254) all_0_56_56 = e2 % 21.12/5.54 | % 21.12/5.54 | Combining equations (254,258) yields a new equation: % 21.12/5.54 | (336) e2 = e1 % 21.12/5.54 | % 21.12/5.54 | Simplifying 336 yields: % 21.12/5.54 | (337) e2 = e1 % 21.12/5.54 | % 21.12/5.54 | Equations (337) can reduce 184 to: % 21.12/5.54 | (251) $false % 21.12/5.54 | % 21.12/5.54 |-The branch is then unsatisfiable % 21.12/5.54 |-Branch two: % 21.12/5.54 | (247) ~ (all_0_56_56 = e2) % 21.12/5.54 | (709) all_0_60_60 = e2 | all_0_68_68 = e2 % 21.12/5.54 | % 21.12/5.54 | Equations (258) can reduce 247 to: % 21.12/5.54 | (328) ~ (e2 = e1) % 21.12/5.54 | % 21.12/5.54 | Simplifying 328 yields: % 21.12/5.54 | (184) ~ (e2 = e1) % 21.12/5.54 | % 21.12/5.54 +-Applying beta-rule and splitting (177), into two cases. % 21.12/5.54 |-Branch one: % 21.12/5.54 | (254) all_0_56_56 = e2 % 21.12/5.54 | % 21.12/5.54 | Combining equations (254,258) yields a new equation: % 21.12/5.54 | (336) e2 = e1 % 21.12/5.54 | % 21.12/5.54 | Simplifying 336 yields: % 21.12/5.54 | (337) e2 = e1 % 21.12/5.54 | % 21.12/5.54 | Equations (337) can reduce 184 to: % 21.12/5.54 | (251) $false % 21.12/5.54 | % 21.12/5.54 |-The branch is then unsatisfiable % 21.12/5.54 |-Branch two: % 21.12/5.54 | (247) ~ (all_0_56_56 = e2) % 21.12/5.54 | (358) all_0_57_57 = e2 | all_0_59_59 = e2 % 21.12/5.54 | % 21.12/5.54 +-Applying beta-rule and splitting (667), into two cases. % 21.12/5.54 |-Branch one: % 21.12/5.54 | (647) all_0_60_60 = e1 % 21.12/5.54 | % 21.12/5.54 | Equations (647) can reduce 651 to: % 21.12/5.54 | (251) $false % 21.12/5.54 | % 21.12/5.54 |-The branch is then unsatisfiable % 21.12/5.54 |-Branch two: % 21.12/5.54 | (651) ~ (all_0_60_60 = e1) % 21.12/5.54 | (1119) all_0_60_60 = e0 % 21.12/5.54 | % 21.12/5.54 | Equations (1119) can reduce 83 to: % 21.12/5.54 | (270) ~ (all_0_68_68 = e0) % 21.12/5.54 | % 21.12/5.54 | Simplifying 270 yields: % 21.12/5.54 | (271) ~ (all_0_68_68 = e0) % 21.12/5.54 | % 21.12/5.54 | Equations (1119) can reduce 4 to: % 21.12/5.54 | (514) ~ (e4 = e0) % 21.12/5.54 | % 21.12/5.54 | Simplifying 514 yields: % 21.12/5.54 | (17) ~ (e4 = e0) % 21.12/5.54 | % 21.12/5.54 | Equations (1119) can reduce 46 to: % 21.12/5.54 | (272) ~ (e3 = e0) % 21.12/5.54 | % 21.12/5.54 | Simplifying 272 yields: % 21.12/5.54 | (36) ~ (e3 = e0) % 21.12/5.54 | % 21.12/5.54 | Equations (1119) can reduce 651 to: % 21.12/5.54 | (276) ~ (e1 = e0) % 21.12/5.54 | % 21.12/5.54 | Simplifying 276 yields: % 21.12/5.54 | (204) ~ (e1 = e0) % 21.12/5.54 | % 21.12/5.54 | From (1119) and (242) follows: % 21.12/5.54 | (4962) op(e3, e4) = e0 % 21.12/5.54 | % 21.12/5.54 +-Applying beta-rule and splitting (358), into two cases. % 21.12/5.54 |-Branch one: % 21.12/5.54 | (335) all_0_57_57 = e2 % 21.12/5.54 | % 21.12/5.54 | Equations (335) can reduce 71 to: % 21.12/5.54 | (1912) ~ (all_0_58_58 = e2) % 21.12/5.54 | % 21.12/5.54 | Simplifying 1912 yields: % 21.12/5.54 | (77) ~ (all_0_58_58 = e2) % 21.12/5.54 | % 21.12/5.54 | From (335) and (243) follows: % 21.12/5.54 | (1166) op(e2, e4) = all_0_1_1 % 21.12/5.54 | % 21.12/5.54 | From (335) and (134) follows: % 21.12/5.54 | (727) op(e2, e3) = all_0_2_2 % 21.12/5.54 | % 21.12/5.54 | From (335) and (137) follows: % 21.12/5.54 | (1167) op(e4, e2) = all_0_36_36 % 21.12/5.54 | % 21.12/5.54 | From (335) and (197) follows: % 21.12/5.54 | (4969) op(e4, e3) = e2 % 21.12/5.54 | % 21.12/5.54 | From (335) and (67) follows: % 21.12/5.54 | (728) op(e3, e2) = all_0_35_35 % 21.12/5.54 | % 21.12/5.54 +-Applying beta-rule and splitting (239), into two cases. % 21.12/5.54 |-Branch one: % 21.12/5.54 | (292) all_0_68_68 = e3 % 21.12/5.55 | % 21.12/5.55 | Equations (292) can reduce 645 to: % 21.12/5.55 | (251) $false % 21.12/5.55 | % 21.12/5.55 |-The branch is then unsatisfiable % 21.12/5.55 |-Branch two: % 21.12/5.55 | (645) ~ (all_0_68_68 = e3) % 21.12/5.55 | (646) all_0_68_68 = e2 | all_0_68_68 = e0 % 21.12/5.55 | % 21.12/5.55 +-Applying beta-rule and splitting (646), into two cases. % 21.12/5.55 |-Branch one: % 21.12/5.55 | (729) all_0_68_68 = e2 % 21.12/5.55 | % 21.12/5.55 | Equations (729) can reduce 14 to: % 21.12/5.55 | (371) ~ (e4 = e2) % 21.12/5.55 | % 21.12/5.55 | Simplifying 371 yields: % 21.12/5.55 | (49) ~ (e4 = e2) % 21.12/5.55 | % 21.12/5.55 | From (729) and (240) follows: % 21.12/5.55 | (1288) op(e2, e4) = all_0_22_22 % 21.12/5.55 | % 21.12/5.55 | From (729) and (190) follows: % 21.12/5.55 | (733) op(e4, e2) = all_0_33_33 % 21.12/5.55 | % 21.12/5.55 | From (729) and (37) follows: % 21.12/5.55 | (1292) op(e1, e4) = e2 % 21.12/5.55 | % 21.12/5.55 +-Applying beta-rule and splitting (111), into two cases. % 21.12/5.55 |-Branch one: % 21.12/5.55 | (643) all_0_64_64 = e0 % 21.12/5.55 | % 21.12/5.55 | Combining equations (302,643) yields a new equation: % 21.12/5.55 | (390) e3 = e0 % 21.12/5.55 | % 21.12/5.55 | Simplifying 390 yields: % 21.12/5.55 | (391) e3 = e0 % 21.12/5.55 | % 21.12/5.55 | Equations (391) can reduce 36 to: % 21.12/5.55 | (251) $false % 21.12/5.55 | % 21.12/5.55 |-The branch is then unsatisfiable % 21.12/5.55 |-Branch two: % 21.12/5.55 | (269) ~ (all_0_64_64 = e0) % 21.12/5.55 | (1447) all_0_65_65 = e0 | all_0_66_66 = e0 | all_0_67_67 = e0 % 21.12/5.55 | % 21.12/5.55 +-Applying beta-rule and splitting (1447), into two cases. % 21.12/5.55 |-Branch one: % 21.12/5.55 | (1448) all_0_65_65 = e0 % 21.12/5.55 | % 21.12/5.55 | From (1448) and (6) follows: % 21.12/5.55 | (4988) op(e2, e3) = e0 % 21.12/5.55 | % 21.12/5.55 +-Applying beta-rule and splitting (53), into two cases. % 21.12/5.55 |-Branch one: % 21.12/5.55 | (845) all_0_62_62 = e4 % 21.12/5.55 | % 21.12/5.55 | Equations (845) can reduce 180 to: % 21.12/5.55 | (214) ~ (all_0_58_58 = e4) % 21.12/5.55 | % 21.12/5.55 | From (845) and (222) follows: % 21.12/5.55 | (1240) op(e4, e2) = all_0_11_11 % 21.12/5.55 | % 21.12/5.55 | From (845) and (97) follows: % 21.12/5.55 | (4992) op(e3, e4) = all_0_45_45 % 21.12/5.55 | % 21.12/5.55 | From (845) and (84) follows: % 21.12/5.55 | (1241) op(e3, e2) = e4 % 21.12/5.55 | % 21.12/5.55 | From (845) and (11) follows: % 21.12/5.55 | (1242) op(e2, e4) = all_0_44_44 % 21.12/5.55 | % 21.12/5.55 +-Applying beta-rule and splitting (142), into two cases. % 21.12/5.55 |-Branch one: % 21.12/5.55 | (1060) all_0_58_58 = e0 % 21.12/5.55 | % 21.12/5.55 | Equations (1060) can reduce 214 to: % 21.12/5.55 | (514) ~ (e4 = e0) % 21.12/5.55 | % 21.12/5.55 | Simplifying 514 yields: % 21.12/5.55 | (17) ~ (e4 = e0) % 21.12/5.55 | % 21.12/5.55 | Equations (1060) can reduce 621 to: % 21.12/5.55 | (272) ~ (e3 = e0) % 21.12/5.55 | % 21.12/5.55 | Simplifying 272 yields: % 21.12/5.55 | (36) ~ (e3 = e0) % 21.12/5.55 | % 21.12/5.55 | Equations (1060) can reduce 77 to: % 21.12/5.55 | (274) ~ (e2 = e0) % 21.12/5.55 | % 21.12/5.55 | Simplifying 274 yields: % 21.12/5.55 | (48) ~ (e2 = e0) % 21.12/5.55 | % 21.12/5.55 | Equations (1060) can reduce 315 to: % 21.12/5.55 | (276) ~ (e1 = e0) % 21.12/5.55 | % 21.12/5.55 | Simplifying 276 yields: % 21.12/5.55 | (204) ~ (e1 = e0) % 21.12/5.55 | % 21.12/5.55 | From (1060) and (160) follows: % 21.12/5.55 | (1603) op(e4, e2) = e0 % 21.12/5.55 | % 21.12/5.55 | Instantiating formula (61) with e4, e3, all_0_31_31, all_0_24_24 and discharging atoms op(e4, e3) = all_0_24_24, op(e4, e3) = all_0_31_31, yields: % 21.12/5.55 | (5005) all_0_24_24 = all_0_31_31 % 21.12/5.55 | % 21.12/5.55 | Instantiating formula (61) with e4, e3, e2, all_0_24_24 and discharging atoms op(e4, e3) = all_0_24_24, op(e4, e3) = e2, yields: % 21.12/5.55 | (5006) all_0_24_24 = e2 % 21.12/5.55 | % 21.12/5.55 | Instantiating formula (61) with e4, e2, all_0_19_19, all_0_11_11 and discharging atoms op(e4, e2) = all_0_11_11, op(e4, e2) = all_0_19_19, yields: % 21.12/5.55 | (1333) all_0_11_11 = all_0_19_19 % 21.12/5.55 | % 21.12/5.55 | Instantiating formula (61) with e4, e2, all_0_33_33, all_0_11_11 and discharging atoms op(e4, e2) = all_0_11_11, op(e4, e2) = all_0_33_33, yields: % 21.12/5.55 | (1334) all_0_11_11 = all_0_33_33 % 21.12/5.55 | % 21.12/5.55 | Instantiating formula (61) with e4, e2, all_0_36_36, all_0_19_19 and discharging atoms op(e4, e2) = all_0_19_19, op(e4, e2) = all_0_36_36, yields: % 21.12/5.55 | (1366) all_0_19_19 = all_0_36_36 % 21.12/5.55 | % 21.12/5.55 | Instantiating formula (61) with e4, e2, e0, all_0_11_11 and discharging atoms op(e4, e2) = all_0_11_11, op(e4, e2) = e0, yields: % 21.12/5.55 | (5010) all_0_11_11 = e0 % 21.12/5.55 | % 21.12/5.55 | Instantiating formula (61) with e3, e4, all_0_15_15, all_0_5_5 and discharging atoms op(e3, e4) = all_0_5_5, op(e3, e4) = all_0_15_15, yields: % 21.12/5.55 | (4259) all_0_5_5 = all_0_15_15 % 21.12/5.55 | % 21.12/5.55 | Instantiating formula (61) with e3, e4, all_0_40_40, all_0_15_15 and discharging atoms op(e3, e4) = all_0_15_15, op(e3, e4) = all_0_40_40, yields: % 21.12/5.55 | (5012) all_0_15_15 = all_0_40_40 % 21.12/5.55 | % 21.12/5.55 | Instantiating formula (61) with e3, e4, all_0_45_45, all_0_40_40 and discharging atoms op(e3, e4) = all_0_40_40, op(e3, e4) = all_0_45_45, yields: % 21.12/5.55 | (5013) all_0_40_40 = all_0_45_45 % 21.12/5.55 | % 21.12/5.55 | Instantiating formula (61) with e3, e4, e0, all_0_5_5 and discharging atoms op(e3, e4) = all_0_5_5, op(e3, e4) = e0, yields: % 21.12/5.55 | (5014) all_0_5_5 = e0 % 21.12/5.55 | % 21.12/5.55 | Instantiating formula (61) with e3, e2, all_0_35_35, all_0_14_14 and discharging atoms op(e3, e2) = all_0_14_14, op(e3, e2) = all_0_35_35, yields: % 21.12/5.55 | (5015) all_0_14_14 = all_0_35_35 % 21.12/5.55 | % 21.12/5.55 | Instantiating formula (61) with e3, e2, e4, all_0_14_14 and discharging atoms op(e3, e2) = all_0_14_14, op(e3, e2) = e4, yields: % 21.12/5.55 | (5016) all_0_14_14 = e4 % 21.12/5.55 | % 21.12/5.55 | Instantiating formula (61) with e2, e4, all_0_22_22, all_0_1_1 and discharging atoms op(e2, e4) = all_0_1_1, op(e2, e4) = all_0_22_22, yields: % 21.12/5.55 | (1342) all_0_1_1 = all_0_22_22 % 21.12/5.55 | % 21.12/5.55 | Instantiating formula (61) with e2, e4, all_0_44_44, all_0_22_22 and discharging atoms op(e2, e4) = all_0_22_22, op(e2, e4) = all_0_44_44, yields: % 21.12/5.55 | (1343) all_0_22_22 = all_0_44_44 % 21.12/5.55 | % 21.12/5.55 | Instantiating formula (61) with e2, e4, all_0_54_54, all_0_1_1 and discharging atoms op(e2, e4) = all_0_1_1, op(e2, e4) = all_0_54_54, yields: % 21.12/5.55 | (1344) all_0_1_1 = all_0_54_54 % 21.12/5.55 | % 21.12/5.55 | Instantiating formula (61) with e2, e4, e3, all_0_44_44 and discharging atoms op(e2, e4) = all_0_44_44, op(e2, e4) = e3, yields: % 21.12/5.55 | (454) all_0_44_44 = e3 % 21.12/5.55 | % 21.12/5.55 | Instantiating formula (61) with e2, e3, all_0_12_12, all_0_2_2 and discharging atoms op(e2, e3) = all_0_2_2, op(e2, e3) = all_0_12_12, yields: % 21.12/5.55 | (5021) all_0_2_2 = all_0_12_12 % 21.12/5.55 | % 21.12/5.55 | Instantiating formula (61) with e2, e3, all_0_32_32, all_0_2_2 and discharging atoms op(e2, e3) = all_0_2_2, op(e2, e3) = all_0_32_32, yields: % 21.12/5.55 | (786) all_0_2_2 = all_0_32_32 % 21.12/5.55 | % 21.12/5.55 | Instantiating formula (61) with e2, e3, all_0_47_47, all_0_12_12 and discharging atoms op(e2, e3) = all_0_12_12, op(e2, e3) = all_0_47_47, yields: % 21.12/5.55 | (5023) all_0_12_12 = all_0_47_47 % 21.12/5.55 | % 21.12/5.55 | Instantiating formula (61) with e2, e3, e0, all_0_2_2 and discharging atoms op(e2, e3) = all_0_2_2, op(e2, e3) = e0, yields: % 21.12/5.55 | (5024) all_0_2_2 = e0 % 21.12/5.55 | % 21.12/5.55 | Instantiating formula (61) with e1, e4, all_0_53_53, all_0_41_41 and discharging atoms op(e1, e4) = all_0_41_41, op(e1, e4) = all_0_53_53, yields: % 21.12/5.55 | (1365) all_0_41_41 = all_0_53_53 % 21.12/5.55 | % 21.12/5.55 | Instantiating formula (61) with e1, e4, e2, all_0_41_41 and discharging atoms op(e1, e4) = all_0_41_41, op(e1, e4) = e2, yields: % 21.12/5.55 | (1364) all_0_41_41 = e2 % 21.12/5.55 | % 21.12/5.55 | Combining equations (1342,1344) yields a new equation: % 21.12/5.55 | (1358) all_0_22_22 = all_0_54_54 % 21.57/5.55 | % 21.57/5.55 | Simplifying 1358 yields: % 21.57/5.55 | (1359) all_0_22_22 = all_0_54_54 % 21.57/5.55 | % 21.57/5.55 | Combining equations (5021,786) yields a new equation: % 21.57/5.55 | (5029) all_0_12_12 = all_0_32_32 % 21.57/5.55 | % 21.57/5.55 | Simplifying 5029 yields: % 21.57/5.55 | (787) all_0_12_12 = all_0_32_32 % 21.57/5.55 | % 21.57/5.55 | Combining equations (5024,786) yields a new equation: % 21.57/5.55 | (1693) all_0_32_32 = e0 % 21.57/5.55 | % 21.57/5.55 | Combining equations (4259,5014) yields a new equation: % 21.57/5.55 | (5032) all_0_15_15 = e0 % 21.57/5.55 | % 21.57/5.55 | Simplifying 5032 yields: % 21.57/5.55 | (1667) all_0_15_15 = e0 % 21.57/5.55 | % 21.57/5.55 | Combining equations (1333,1334) yields a new equation: % 21.57/5.55 | (5034) all_0_19_19 = all_0_33_33 % 21.57/5.55 | % 21.57/5.55 | Simplifying 5034 yields: % 21.57/5.55 | (1367) all_0_19_19 = all_0_33_33 % 21.57/5.55 | % 21.57/5.55 | Combining equations (5010,1334) yields a new equation: % 21.57/5.55 | (5036) all_0_33_33 = e0 % 21.57/5.55 | % 21.57/5.55 | Combining equations (787,5023) yields a new equation: % 21.57/5.56 | (800) all_0_32_32 = all_0_47_47 % 21.57/5.56 | % 21.57/5.56 | Simplifying 800 yields: % 21.57/5.56 | (801) all_0_32_32 = all_0_47_47 % 21.57/5.56 | % 21.57/5.56 | Combining equations (5016,5015) yields a new equation: % 21.57/5.56 | (1341) all_0_35_35 = e4 % 21.57/5.56 | % 21.57/5.56 | Combining equations (5012,1667) yields a new equation: % 21.57/5.56 | (5040) all_0_40_40 = e0 % 21.57/5.56 | % 21.57/5.56 | Simplifying 5040 yields: % 21.57/5.56 | (5041) all_0_40_40 = e0 % 21.57/5.56 | % 21.57/5.56 | Combining equations (1367,1366) yields a new equation: % 21.57/5.56 | (1372) all_0_33_33 = all_0_36_36 % 21.57/5.56 | % 21.57/5.56 | Simplifying 1372 yields: % 21.57/5.56 | (1373) all_0_33_33 = all_0_36_36 % 21.57/5.56 | % 21.57/5.56 | Combining equations (1343,1359) yields a new equation: % 21.57/5.56 | (5044) all_0_44_44 = all_0_54_54 % 21.57/5.56 | % 21.57/5.56 | Simplifying 5044 yields: % 21.57/5.56 | (1379) all_0_44_44 = all_0_54_54 % 21.57/5.56 | % 21.57/5.56 | Combining equations (5005,5006) yields a new equation: % 21.57/5.56 | (5046) all_0_31_31 = e2 % 21.57/5.56 | % 21.57/5.56 | Simplifying 5046 yields: % 21.57/5.56 | (1694) all_0_31_31 = e2 % 21.57/5.56 | % 21.57/5.56 | Combining equations (1693,801) yields a new equation: % 21.57/5.56 | (5048) all_0_47_47 = e0 % 21.57/5.56 | % 21.57/5.56 | Combining equations (5036,1373) yields a new equation: % 21.57/5.56 | (5049) all_0_36_36 = e0 % 21.57/5.56 | % 21.57/5.56 | Combining equations (5013,5041) yields a new equation: % 21.57/5.56 | (5050) all_0_45_45 = e0 % 21.57/5.56 | % 21.57/5.56 | Simplifying 5050 yields: % 21.57/5.56 | (5051) all_0_45_45 = e0 % 21.57/5.56 | % 21.57/5.56 | Combining equations (1365,1364) yields a new equation: % 21.57/5.56 | (455) all_0_53_53 = e2 % 21.57/5.56 | % 21.57/5.56 | Simplifying 455 yields: % 21.57/5.56 | (456) all_0_53_53 = e2 % 21.57/5.56 | % 21.57/5.56 | Combining equations (454,1379) yields a new equation: % 21.57/5.56 | (5054) all_0_54_54 = e3 % 21.57/5.56 | % 21.57/5.56 | Combining equations (5054,1379) yields a new equation: % 21.57/5.56 | (454) all_0_44_44 = e3 % 21.57/5.56 | % 21.57/5.56 | Combining equations (5048,801) yields a new equation: % 21.57/5.56 | (1693) all_0_32_32 = e0 % 21.57/5.56 | % 21.57/5.56 +-Applying beta-rule and splitting (183), into two cases. % 21.57/5.56 |-Branch one: % 21.57/5.56 | (462) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) | (( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3)) | (( ~ (all_0_42_42 = e4) | all_0_43_43 = e2) & ( ~ (all_0_44_44 = e3) | all_0_45_45 = e2) & ( ~ (all_0_47_47 = e1) | all_0_48_48 = e2)) % 21.57/5.56 | % 21.57/5.56 +-Applying beta-rule and splitting (462), into two cases. % 21.57/5.56 |-Branch one: % 21.57/5.56 | (463) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) | (( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3)) % 21.57/5.56 | % 21.57/5.56 +-Applying beta-rule and splitting (463), into two cases. % 21.57/5.56 |-Branch one: % 21.57/5.56 | (464) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) % 21.57/5.56 | % 21.57/5.56 +-Applying beta-rule and splitting (464), into two cases. % 21.57/5.56 |-Branch one: % 21.57/5.56 | (465) all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0 % 21.57/5.56 | % 21.57/5.56 | Applying alpha-rule on (465) yields: % 21.57/5.56 | (261) all_0_56_56 = e0 % 21.57/5.56 | (467) all_0_61_61 = e0 % 21.57/5.56 | (468) all_0_66_66 = e0 % 21.57/5.56 | (469) all_0_71_71 = e0 % 21.57/5.56 | % 21.57/5.56 | Combining equations (468,546) yields a new equation: % 21.57/5.56 | (288) e1 = e0 % 21.57/5.56 | % 21.57/5.56 | Equations (288) can reduce 204 to: % 21.57/5.56 | (251) $false % 21.57/5.56 | % 21.57/5.56 |-The branch is then unsatisfiable % 21.57/5.56 |-Branch two: % 21.57/5.56 | (578) ( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4) % 21.57/5.56 | % 21.57/5.56 | Applying alpha-rule on (578) yields: % 21.57/5.56 | (579) ~ (all_0_29_29 = e3) | all_0_30_30 = e4 % 21.57/5.56 | (580) ~ (all_0_31_31 = e2) | all_0_32_32 = e4 % 21.57/5.56 | (581) ~ (all_0_33_33 = e1) | all_0_34_34 = e4 % 21.57/5.56 | % 21.57/5.56 +-Applying beta-rule and splitting (580), into two cases. % 21.57/5.56 |-Branch one: % 21.57/5.56 | (1721) ~ (all_0_31_31 = e2) % 21.57/5.56 | % 21.57/5.56 | Equations (1694) can reduce 1721 to: % 21.57/5.56 | (251) $false % 21.57/5.56 | % 21.57/5.56 |-The branch is then unsatisfiable % 21.57/5.56 |-Branch two: % 21.57/5.56 | (1694) all_0_31_31 = e2 % 21.57/5.56 | (1724) all_0_32_32 = e4 % 21.57/5.56 | % 21.57/5.56 | Combining equations (1693,1724) yields a new equation: % 21.57/5.56 | (510) e4 = e0 % 21.57/5.56 | % 21.57/5.56 | Equations (510) can reduce 17 to: % 21.57/5.56 | (251) $false % 21.57/5.56 | % 21.57/5.56 |-The branch is then unsatisfiable % 21.57/5.56 |-Branch two: % 21.57/5.56 | (588) ( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3) % 21.57/5.56 | % 21.57/5.56 | Applying alpha-rule on (588) yields: % 21.57/5.56 | (589) ~ (all_0_35_35 = e4) | all_0_36_36 = e3 % 21.57/5.56 | (590) ~ (all_0_38_38 = e2) | all_0_39_39 = e3 % 21.57/5.56 | (591) ~ (all_0_40_40 = e1) | all_0_41_41 = e3 % 21.57/5.56 | % 21.57/5.56 +-Applying beta-rule and splitting (589), into two cases. % 21.57/5.56 |-Branch one: % 21.57/5.56 | (1415) ~ (all_0_35_35 = e4) % 21.57/5.56 | % 21.57/5.56 | Equations (1341) can reduce 1415 to: % 21.57/5.56 | (251) $false % 21.57/5.56 | % 21.57/5.56 |-The branch is then unsatisfiable % 21.57/5.56 |-Branch two: % 21.57/5.56 | (1341) all_0_35_35 = e4 % 21.57/5.56 | (1418) all_0_36_36 = e3 % 21.57/5.56 | % 21.57/5.56 | Combining equations (1418,5049) yields a new equation: % 21.57/5.56 | (390) e3 = e0 % 21.57/5.56 | % 21.57/5.56 | Simplifying 390 yields: % 21.57/5.56 | (391) e3 = e0 % 21.57/5.56 | % 21.57/5.56 | Equations (391) can reduce 36 to: % 21.57/5.56 | (251) $false % 21.57/5.56 | % 21.57/5.56 |-The branch is then unsatisfiable % 21.57/5.56 |-Branch two: % 21.57/5.56 | (599) ( ~ (all_0_42_42 = e4) | all_0_43_43 = e2) & ( ~ (all_0_44_44 = e3) | all_0_45_45 = e2) & ( ~ (all_0_47_47 = e1) | all_0_48_48 = e2) % 21.57/5.56 | % 21.57/5.56 | Applying alpha-rule on (599) yields: % 21.57/5.56 | (600) ~ (all_0_42_42 = e4) | all_0_43_43 = e2 % 21.57/5.56 | (601) ~ (all_0_44_44 = e3) | all_0_45_45 = e2 % 21.57/5.56 | (602) ~ (all_0_47_47 = e1) | all_0_48_48 = e2 % 21.57/5.56 | % 21.57/5.56 +-Applying beta-rule and splitting (601), into two cases. % 21.57/5.56 |-Branch one: % 21.57/5.56 | (603) ~ (all_0_44_44 = e3) % 21.57/5.56 | % 21.57/5.56 | Equations (454) can reduce 603 to: % 21.57/5.56 | (251) $false % 21.57/5.56 | % 21.57/5.56 |-The branch is then unsatisfiable % 21.57/5.56 |-Branch two: % 21.57/5.56 | (454) all_0_44_44 = e3 % 21.57/5.56 | (606) all_0_45_45 = e2 % 21.57/5.56 | % 21.57/5.56 | Combining equations (606,5051) yields a new equation: % 21.57/5.56 | (354) e2 = e0 % 21.57/5.56 | % 21.57/5.56 | Simplifying 354 yields: % 21.57/5.56 | (355) e2 = e0 % 21.57/5.56 | % 21.57/5.56 | Equations (355) can reduce 48 to: % 21.57/5.56 | (251) $false % 21.57/5.56 | % 21.57/5.56 |-The branch is then unsatisfiable % 21.57/5.56 |-Branch two: % 21.57/5.56 | (610) ( ~ (all_0_49_49 = e4) | all_0_50_50 = e1) & ( ~ (all_0_51_51 = e3) | all_0_52_52 = e1) & ( ~ (all_0_53_53 = e2) | all_0_54_54 = e1) % 21.57/5.56 | % 21.57/5.56 | Applying alpha-rule on (610) yields: % 21.57/5.56 | (611) ~ (all_0_49_49 = e4) | all_0_50_50 = e1 % 21.57/5.56 | (612) ~ (all_0_51_51 = e3) | all_0_52_52 = e1 % 21.57/5.56 | (613) ~ (all_0_53_53 = e2) | all_0_54_54 = e1 % 21.57/5.56 | % 21.57/5.56 +-Applying beta-rule and splitting (613), into two cases. % 21.57/5.56 |-Branch one: % 21.57/5.56 | (614) ~ (all_0_53_53 = e2) % 21.57/5.56 | % 21.57/5.56 | Equations (456) can reduce 614 to: % 21.57/5.56 | (251) $false % 21.57/5.56 | % 21.57/5.56 |-The branch is then unsatisfiable % 21.57/5.56 |-Branch two: % 21.57/5.56 | (456) all_0_53_53 = e2 % 21.57/5.56 | (617) all_0_54_54 = e1 % 21.57/5.57 | % 21.57/5.57 | Combining equations (5054,617) yields a new equation: % 21.57/5.57 | (660) e3 = e1 % 21.57/5.57 | % 21.57/5.57 | Simplifying 660 yields: % 21.57/5.57 | (661) e3 = e1 % 21.57/5.57 | % 21.57/5.57 | Equations (661) can reduce 15 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (263) ~ (all_0_58_58 = e0) % 21.57/5.57 | (2059) all_0_62_62 = e0 | all_0_66_66 = e0 | all_0_70_70 = e0 % 21.57/5.57 | % 21.57/5.57 +-Applying beta-rule and splitting (167), into two cases. % 21.57/5.57 |-Branch one: % 21.57/5.57 | (395) all_0_58_58 = e3 % 21.57/5.57 | % 21.57/5.57 | Equations (395) can reduce 621 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (621) ~ (all_0_58_58 = e3) % 21.57/5.57 | (622) all_0_58_58 = e1 | all_0_58_58 = e0 % 21.57/5.57 | % 21.57/5.57 +-Applying beta-rule and splitting (622), into two cases. % 21.57/5.57 |-Branch one: % 21.57/5.57 | (323) all_0_58_58 = e1 % 21.57/5.57 | % 21.57/5.57 | Equations (323) can reduce 315 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (315) ~ (all_0_58_58 = e1) % 21.57/5.57 | (1060) all_0_58_58 = e0 % 21.57/5.57 | % 21.57/5.57 | Equations (1060) can reduce 263 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (920) ~ (all_0_62_62 = e4) % 21.57/5.57 | (921) all_0_62_62 = e1 | all_0_62_62 = e0 % 21.57/5.57 | % 21.57/5.57 +-Applying beta-rule and splitting (42), into two cases. % 21.57/5.57 |-Branch one: % 21.57/5.57 | (845) all_0_62_62 = e4 % 21.57/5.57 | % 21.57/5.57 | Equations (845) can reduce 920 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (920) ~ (all_0_62_62 = e4) % 21.57/5.57 | (2296) all_0_66_66 = e4 | all_0_70_70 = e4 % 21.57/5.57 | % 21.57/5.57 +-Applying beta-rule and splitting (74), into two cases. % 21.57/5.57 |-Branch one: % 21.57/5.57 | (509) all_0_61_61 = e4 % 21.57/5.57 | % 21.57/5.57 | Combining equations (509,523) yields a new equation: % 21.57/5.57 | (2018) e4 = e1 % 21.57/5.57 | % 21.57/5.57 | Simplifying 2018 yields: % 21.57/5.57 | (1244) e4 = e1 % 21.57/5.57 | % 21.57/5.57 | Equations (1244) can reduce 193 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (512) ~ (all_0_61_61 = e4) % 21.57/5.57 | (2758) all_0_62_62 = e4 | all_0_63_63 = e4 % 21.57/5.57 | % 21.57/5.57 +-Applying beta-rule and splitting (2758), into two cases. % 21.57/5.57 |-Branch one: % 21.57/5.57 | (845) all_0_62_62 = e4 % 21.57/5.57 | % 21.57/5.57 | Equations (845) can reduce 920 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (920) ~ (all_0_62_62 = e4) % 21.57/5.57 | (498) all_0_63_63 = e4 % 21.57/5.57 | % 21.57/5.57 | Combining equations (498,573) yields a new equation: % 21.57/5.57 | (479) e4 = e2 % 21.57/5.57 | % 21.57/5.57 | Simplifying 479 yields: % 21.57/5.57 | (480) e4 = e2 % 21.57/5.57 | % 21.57/5.57 | Equations (480) can reduce 49 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (1154) ~ (all_0_65_65 = e0) % 21.57/5.57 | (1453) all_0_66_66 = e0 | all_0_67_67 = e0 % 21.57/5.57 | % 21.57/5.57 +-Applying beta-rule and splitting (1453), into two cases. % 21.57/5.57 |-Branch one: % 21.57/5.57 | (468) all_0_66_66 = e0 % 21.57/5.57 | % 21.57/5.57 | Combining equations (546,468) yields a new equation: % 21.57/5.57 | (287) e1 = e0 % 21.57/5.57 | % 21.57/5.57 | Simplifying 287 yields: % 21.57/5.57 | (288) e1 = e0 % 21.57/5.57 | % 21.57/5.57 | Equations (288) can reduce 204 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (1457) ~ (all_0_66_66 = e0) % 21.57/5.57 | (1458) all_0_67_67 = e0 % 21.57/5.57 | % 21.57/5.57 | Combining equations (1251,1458) yields a new equation: % 21.57/5.57 | (531) e4 = e0 % 21.57/5.57 | % 21.57/5.57 | Simplifying 531 yields: % 21.57/5.57 | (510) e4 = e0 % 21.57/5.57 | % 21.57/5.57 | Equations (510) can reduce 17 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (987) ~ (all_0_68_68 = e2) % 21.57/5.57 | (988) all_0_68_68 = e0 % 21.57/5.57 | % 21.57/5.57 | Equations (988) can reduce 271 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (339) ~ (all_0_57_57 = e2) % 21.57/5.57 | (364) all_0_59_59 = e2 % 21.57/5.57 | % 21.57/5.57 | Combining equations (364,375) yields a new equation: % 21.57/5.57 | (376) e3 = e2 % 21.57/5.57 | % 21.57/5.57 | Equations (376) can reduce 128 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (482) ~ (all_0_69_69 = e4) % 21.57/5.57 | (483) all_0_70_70 = e4 | all_0_71_71 = e4 % 21.57/5.57 | % 21.57/5.57 +-Applying beta-rule and splitting (483), into two cases. % 21.57/5.57 |-Branch one: % 21.57/5.57 | (500) all_0_70_70 = e4 % 21.57/5.57 | % 21.57/5.57 | Combining equations (597,500) yields a new equation: % 21.57/5.57 | (935) e4 = e3 % 21.57/5.57 | % 21.57/5.57 | Equations (935) can reduce 130 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (567) ~ (all_0_70_70 = e4) % 21.57/5.57 | (552) all_0_71_71 = e4 % 21.57/5.57 | % 21.57/5.57 | Combining equations (552,469) yields a new equation: % 21.57/5.57 | (531) e4 = e0 % 21.57/5.57 | % 21.57/5.57 | Simplifying 531 yields: % 21.57/5.57 | (510) e4 = e0 % 21.57/5.57 | % 21.57/5.57 | Equations (510) can reduce 17 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (293) ~ (all_0_64_64 = e3) % 21.57/5.57 | (1266) all_0_66_66 = e3 | all_0_67_67 = e3 % 21.57/5.57 | % 21.57/5.57 +-Applying beta-rule and splitting (758), into two cases. % 21.57/5.57 |-Branch one: % 21.57/5.57 | (538) all_0_66_66 = e3 % 21.57/5.57 | % 21.57/5.57 | Combining equations (538,546) yields a new equation: % 21.57/5.57 | (660) e3 = e1 % 21.57/5.57 | % 21.57/5.57 | Simplifying 660 yields: % 21.57/5.57 | (661) e3 = e1 % 21.57/5.57 | % 21.57/5.57 | Equations (661) can reduce 15 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (542) ~ (all_0_66_66 = e3) % 21.57/5.57 | (597) all_0_70_70 = e3 % 21.57/5.57 | % 21.57/5.57 | Equations (597) can reduce 93 to: % 21.57/5.57 | (15) ~ (e3 = e1) % 21.57/5.57 | % 21.57/5.57 +-Applying beta-rule and splitting (1266), into two cases. % 21.57/5.57 |-Branch one: % 21.57/5.57 | (538) all_0_66_66 = e3 % 21.57/5.57 | % 21.57/5.57 | Combining equations (546,538) yields a new equation: % 21.57/5.57 | (661) e3 = e1 % 21.57/5.57 | % 21.57/5.57 | Equations (661) can reduce 15 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (542) ~ (all_0_66_66 = e3) % 21.57/5.57 | (380) all_0_67_67 = e3 % 21.57/5.57 | % 21.57/5.57 | Combining equations (1251,380) yields a new equation: % 21.57/5.57 | (1463) e4 = e3 % 21.57/5.57 | % 21.57/5.57 | Simplifying 1463 yields: % 21.57/5.57 | (935) e4 = e3 % 21.57/5.57 | % 21.57/5.57 | Equations (935) can reduce 130 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (366) ~ (all_0_63_63 = e2) % 21.57/5.57 | (576) all_0_63_63 = e0 % 21.57/5.57 | % 21.57/5.57 | Equations (576) can reduce 470 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (1581) ~ (all_0_67_67 = e4) % 21.57/5.57 | (1634) all_0_67_67 = e3 | all_0_67_67 = e0 % 21.57/5.57 | % 21.57/5.57 +-Applying beta-rule and splitting (138), into two cases. % 21.57/5.57 |-Branch one: % 21.57/5.57 | (1243) all_0_65_65 = e4 % 21.57/5.57 | % 21.57/5.57 | Equations (1243) can reduce 73 to: % 21.57/5.57 | (2924) ~ (all_0_69_69 = e4) % 21.57/5.57 | % 21.57/5.57 | Simplifying 2924 yields: % 21.57/5.57 | (482) ~ (all_0_69_69 = e4) % 21.57/5.57 | % 21.57/5.57 +-Applying beta-rule and splitting (3), into two cases. % 21.57/5.57 |-Branch one: % 21.57/5.57 | (478) all_0_69_69 = e4 % 21.57/5.57 | % 21.57/5.57 | Equations (478) can reduce 482 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (482) ~ (all_0_69_69 = e4) % 21.57/5.57 | (1477) all_0_69_69 = e2 | all_0_69_69 = e0 % 21.57/5.57 | % 21.57/5.57 +-Applying beta-rule and splitting (1477), into two cases. % 21.57/5.57 |-Branch one: % 21.57/5.57 | (344) all_0_69_69 = e2 % 21.57/5.57 | % 21.57/5.57 | Equations (344) can reduce 18 to: % 21.57/5.57 | (339) ~ (all_0_57_57 = e2) % 21.57/5.57 | % 21.57/5.57 +-Applying beta-rule and splitting (167), into two cases. % 21.57/5.57 |-Branch one: % 21.57/5.57 | (395) all_0_58_58 = e3 % 21.57/5.57 | % 21.57/5.57 | Equations (395) can reduce 621 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (621) ~ (all_0_58_58 = e3) % 21.57/5.57 | (622) all_0_58_58 = e1 | all_0_58_58 = e0 % 21.57/5.57 | % 21.57/5.57 +-Applying beta-rule and splitting (622), into two cases. % 21.57/5.57 |-Branch one: % 21.57/5.57 | (323) all_0_58_58 = e1 % 21.57/5.57 | % 21.57/5.57 | Equations (323) can reduce 315 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (315) ~ (all_0_58_58 = e1) % 21.57/5.57 | (1060) all_0_58_58 = e0 % 21.57/5.57 | % 21.57/5.57 | Equations (1060) can reduce 71 to: % 21.57/5.57 | (1147) ~ (all_0_57_57 = e0) % 21.57/5.57 | % 21.57/5.57 +-Applying beta-rule and splitting (201), into two cases. % 21.57/5.57 |-Branch one: % 21.57/5.57 | (335) all_0_57_57 = e2 % 21.57/5.57 | % 21.57/5.57 | Equations (335) can reduce 339 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (339) ~ (all_0_57_57 = e2) % 21.57/5.57 | (991) all_0_57_57 = e1 | all_0_57_57 = e0 % 21.57/5.57 | % 21.57/5.57 +-Applying beta-rule and splitting (991), into two cases. % 21.57/5.57 |-Branch one: % 21.57/5.57 | (313) all_0_57_57 = e1 % 21.57/5.57 | % 21.57/5.57 | Equations (313) can reduce 635 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (635) ~ (all_0_57_57 = e1) % 21.57/5.57 | (1840) all_0_57_57 = e0 % 21.57/5.57 | % 21.57/5.57 | Equations (1840) can reduce 1147 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (731) ~ (all_0_69_69 = e2) % 21.57/5.57 | (1481) all_0_69_69 = e0 % 21.57/5.57 | % 21.57/5.57 | Equations (1481) can reduce 1156 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (1246) ~ (all_0_65_65 = e4) % 21.57/5.57 | (1247) all_0_66_66 = e4 | all_0_67_67 = e4 % 21.57/5.57 | % 21.57/5.57 +-Applying beta-rule and splitting (227), into two cases. % 21.57/5.57 |-Branch one: % 21.57/5.57 | (1243) all_0_65_65 = e4 % 21.57/5.57 | % 21.57/5.57 | Equations (1243) can reduce 1246 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (1246) ~ (all_0_65_65 = e4) % 21.57/5.57 | (1802) all_0_65_65 = e1 | all_0_65_65 = e0 % 21.57/5.57 | % 21.57/5.57 +-Applying beta-rule and splitting (1802), into two cases. % 21.57/5.57 |-Branch one: % 21.57/5.57 | (619) all_0_65_65 = e1 % 21.57/5.57 | % 21.57/5.57 | Equations (619) can reduce 308 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (308) ~ (all_0_65_65 = e1) % 21.57/5.57 | (1448) all_0_65_65 = e0 % 21.57/5.57 | % 21.57/5.57 | Equations (1448) can reduce 191 to: % 21.57/5.57 | (269) ~ (all_0_64_64 = e0) % 21.57/5.57 | % 21.57/5.57 | Equations (1448) can reduce 164 to: % 21.57/5.57 | (1181) ~ (all_0_67_67 = e0) % 21.57/5.57 | % 21.57/5.57 | Simplifying 1181 yields: % 21.57/5.57 | (1182) ~ (all_0_67_67 = e0) % 21.57/5.57 | % 21.57/5.57 +-Applying beta-rule and splitting (45), into two cases. % 21.57/5.57 |-Branch one: % 21.57/5.57 | (302) all_0_64_64 = e3 % 21.57/5.57 | % 21.57/5.57 | Equations (302) can reduce 196 to: % 21.57/5.57 | (770) ~ (all_0_67_67 = e3) % 21.57/5.57 | % 21.57/5.57 | Simplifying 770 yields: % 21.57/5.57 | (629) ~ (all_0_67_67 = e3) % 21.57/5.57 | % 21.57/5.57 +-Applying beta-rule and splitting (1634), into two cases. % 21.57/5.57 |-Branch one: % 21.57/5.57 | (380) all_0_67_67 = e3 % 21.57/5.57 | % 21.57/5.57 | Equations (380) can reduce 629 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (629) ~ (all_0_67_67 = e3) % 21.57/5.57 | (1458) all_0_67_67 = e0 % 21.57/5.57 | % 21.57/5.57 | Equations (1458) can reduce 1182 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (293) ~ (all_0_64_64 = e3) % 21.57/5.57 | (305) all_0_64_64 = e1 | all_0_64_64 = e0 % 21.57/5.57 | % 21.57/5.57 +-Applying beta-rule and splitting (305), into two cases. % 21.57/5.57 |-Branch one: % 21.57/5.57 | (306) all_0_64_64 = e1 % 21.57/5.57 | % 21.57/5.57 | Equations (306) can reduce 642 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (642) ~ (all_0_64_64 = e1) % 21.57/5.57 | (643) all_0_64_64 = e0 % 21.57/5.57 | % 21.57/5.57 | Equations (643) can reduce 269 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (378) ~ (all_0_59_59 = e3) % 21.57/5.57 | (379) all_0_67_67 = e3 | all_0_71_71 = e3 % 21.57/5.57 | % 21.57/5.57 +-Applying beta-rule and splitting (209), into two cases. % 21.57/5.57 |-Branch one: % 21.57/5.57 | (250) all_0_56_56 = e3 % 21.57/5.57 | % 21.57/5.57 | Combining equations (250,258) yields a new equation: % 21.57/5.57 | (660) e3 = e1 % 21.57/5.57 | % 21.57/5.57 | Simplifying 660 yields: % 21.57/5.57 | (661) e3 = e1 % 21.57/5.57 | % 21.57/5.57 | Equations (661) can reduce 15 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (249) ~ (all_0_56_56 = e3) % 21.57/5.57 | (394) all_0_58_58 = e3 | all_0_59_59 = e3 % 21.57/5.57 | % 21.57/5.57 +-Applying beta-rule and splitting (58), into two cases. % 21.57/5.57 |-Branch one: % 21.57/5.57 | (375) all_0_59_59 = e3 % 21.57/5.57 | % 21.57/5.57 | Equations (375) can reduce 378 to: % 21.57/5.57 | (251) $false % 21.57/5.57 | % 21.57/5.57 |-The branch is then unsatisfiable % 21.57/5.57 |-Branch two: % 21.57/5.57 | (378) ~ (all_0_59_59 = e3) % 21.57/5.58 | (1073) all_0_59_59 = e2 | all_0_59_59 = e0 % 21.57/5.58 | % 21.57/5.58 +-Applying beta-rule and splitting (1073), into two cases. % 21.57/5.58 |-Branch one: % 21.57/5.58 | (364) all_0_59_59 = e2 % 21.57/5.58 | % 21.57/5.58 | Equations (364) can reduce 233 to: % 21.57/5.58 | (339) ~ (all_0_57_57 = e2) % 21.57/5.58 | % 21.57/5.58 | Equations (364) can reduce 22 to: % 21.57/5.58 | (367) ~ (all_0_67_67 = e2) % 21.57/5.58 | % 21.57/5.58 | Simplifying 367 yields: % 21.57/5.58 | (139) ~ (all_0_67_67 = e2) % 21.57/5.58 | % 21.57/5.58 | Equations (364) can reduce 171 to: % 21.57/5.58 | (184) ~ (e2 = e1) % 21.57/5.58 | % 21.57/5.58 | From (364) and (236) follows: % 21.57/5.58 | (1562) op(e4, e2) = all_0_50_50 % 21.57/5.58 | % 21.57/5.58 | From (364) and (219) follows: % 21.57/5.58 | (374) op(e1, e2) = all_0_49_49 % 21.57/5.58 | % 21.57/5.58 +-Applying beta-rule and splitting (228), into two cases. % 21.57/5.58 |-Branch one: % 21.57/5.58 | (278) all_0_60_60 = e2 % 21.57/5.58 | % 21.57/5.58 | Equations (278) can reduce 218 to: % 21.57/5.58 | (1916) ~ (all_0_64_64 = e2) % 21.57/5.58 | % 21.57/5.58 | Simplifying 1916 yields: % 21.57/5.58 | (198) ~ (all_0_64_64 = e2) % 21.57/5.58 | % 21.57/5.58 | Equations (278) can reduce 651 to: % 21.57/5.58 | (184) ~ (e2 = e1) % 21.57/5.58 | % 21.57/5.58 | From (278) and (88) follows: % 21.57/5.58 | (1538) op(e2, e4) = all_0_8_8 % 21.57/5.58 | % 21.57/5.58 | From (278) and (175) follows: % 21.57/5.58 | (284) op(e2, e3) = all_0_7_7 % 21.57/5.58 | % 21.57/5.58 | From (278) and (146) follows: % 21.57/5.58 | (1539) op(e4, e2) = all_0_29_29 % 21.57/5.58 | % 21.57/5.58 | From (278) and (64) follows: % 21.57/5.58 | (285) op(e3, e2) = all_0_30_30 % 21.57/5.58 | % 21.57/5.58 | From (278) and (242) follows: % 21.57/5.58 | (3990) op(e3, e4) = e2 % 21.57/5.58 | % 21.57/5.58 +-Applying beta-rule and splitting (379), into two cases. % 21.57/5.58 |-Branch one: % 21.57/5.58 | (380) all_0_67_67 = e3 % 21.57/5.58 | % 21.57/5.58 | Equations (380) can reduce 196 to: % 21.57/5.58 | (293) ~ (all_0_64_64 = e3) % 21.57/5.58 | % 21.57/5.58 | From (380) and (143) follows: % 21.57/5.58 | (384) op(e3, e2) = all_0_19_19 % 21.57/5.58 | % 21.57/5.58 +-Applying beta-rule and splitting (45), into two cases. % 21.57/5.58 |-Branch one: % 21.57/5.58 | (302) all_0_64_64 = e3 % 21.57/5.58 | % 21.57/5.58 | Equations (302) can reduce 293 to: % 21.57/5.58 | (251) $false % 21.57/5.58 | % 21.57/5.58 |-The branch is then unsatisfiable % 21.57/5.58 |-Branch two: % 21.57/5.58 | (293) ~ (all_0_64_64 = e3) % 21.57/5.58 | (305) all_0_64_64 = e1 | all_0_64_64 = e0 % 21.57/5.58 | % 21.57/5.58 +-Applying beta-rule and splitting (201), into two cases. % 21.57/5.58 |-Branch one: % 21.57/5.58 | (335) all_0_57_57 = e2 % 21.57/5.58 | % 21.57/5.58 | Equations (335) can reduce 339 to: % 21.57/5.58 | (251) $false % 21.57/5.58 | % 21.57/5.58 |-The branch is then unsatisfiable % 21.57/5.58 |-Branch two: % 21.57/5.58 | (339) ~ (all_0_57_57 = e2) % 21.57/5.58 | (991) all_0_57_57 = e1 | all_0_57_57 = e0 % 21.57/5.58 | % 21.57/5.58 +-Applying beta-rule and splitting (991), into two cases. % 21.57/5.58 |-Branch one: % 21.57/5.58 | (313) all_0_57_57 = e1 % 21.57/5.58 | % 21.57/5.58 | Equations (313) can reduce 635 to: % 21.57/5.58 | (251) $false % 21.57/5.58 | % 21.57/5.58 |-The branch is then unsatisfiable % 21.57/5.58 |-Branch two: % 21.57/5.58 | (635) ~ (all_0_57_57 = e1) % 21.57/5.58 | (1840) all_0_57_57 = e0 % 21.57/5.58 | % 21.57/5.58 | Equations (1840) can reduce 71 to: % 21.57/5.58 | (262) ~ (all_0_58_58 = e0) % 21.57/5.58 | % 21.57/5.58 | Simplifying 262 yields: % 21.57/5.58 | (263) ~ (all_0_58_58 = e0) % 21.57/5.58 | % 21.57/5.58 | Equations (1840) can reduce 18 to: % 21.57/5.58 | (1155) ~ (all_0_69_69 = e0) % 21.57/5.58 | % 21.57/5.58 | Simplifying 1155 yields: % 21.57/5.58 | (1156) ~ (all_0_69_69 = e0) % 21.57/5.58 | % 21.57/5.58 | From (1840) and (197) follows: % 21.57/5.58 | (5295) op(e4, e3) = e0 % 21.57/5.58 | % 21.57/5.58 +-Applying beta-rule and splitting (142), into two cases. % 21.57/5.58 |-Branch one: % 21.57/5.58 | (1060) all_0_58_58 = e0 % 21.57/5.58 | % 21.57/5.58 | Equations (1060) can reduce 263 to: % 21.57/5.58 | (251) $false % 21.57/5.58 | % 21.57/5.58 |-The branch is then unsatisfiable % 21.57/5.58 |-Branch two: % 21.57/5.58 | (263) ~ (all_0_58_58 = e0) % 21.57/5.58 | (2059) all_0_62_62 = e0 | all_0_66_66 = e0 | all_0_70_70 = e0 % 21.57/5.58 | % 21.57/5.58 +-Applying beta-rule and splitting (227), into two cases. % 21.57/5.58 |-Branch one: % 21.57/5.58 | (1243) all_0_65_65 = e4 % 21.57/5.58 | % 21.57/5.58 | Equations (1243) can reduce 191 to: % 21.57/5.58 | (115) ~ (all_0_64_64 = e4) % 21.57/5.58 | % 21.57/5.58 | From (1243) and (188) follows: % 21.57/5.58 | (5302) op(e4, e3) = all_0_17_17 % 21.57/5.58 | % 21.57/5.58 | From (1243) and (178) follows: % 21.57/5.58 | (1577) op(e4, e2) = all_0_16_16 % 21.57/5.58 | % 21.57/5.58 | From (1243) and (21) follows: % 21.57/5.58 | (5304) op(e3, e4) = all_0_38_38 % 21.57/5.58 | % 21.57/5.58 | From (1243) and (231) follows: % 21.57/5.58 | (1578) op(e2, e4) = all_0_39_39 % 21.57/5.58 | % 21.57/5.58 | From (1243) and (6) follows: % 21.57/5.58 | (5306) op(e2, e3) = e4 % 21.57/5.58 | % 21.57/5.58 +-Applying beta-rule and splitting (305), into two cases. % 21.57/5.58 |-Branch one: % 21.57/5.58 | (306) all_0_64_64 = e1 % 21.57/5.58 | % 21.57/5.58 | Equations (306) can reduce 642 to: % 21.57/5.58 | (251) $false % 21.57/5.58 | % 21.57/5.58 |-The branch is then unsatisfiable % 21.57/5.58 |-Branch two: % 21.57/5.58 | (642) ~ (all_0_64_64 = e1) % 21.57/5.58 | (643) all_0_64_64 = e0 % 21.57/5.58 | % 21.57/5.58 | Equations (643) can reduce 155 to: % 21.57/5.58 | (270) ~ (all_0_68_68 = e0) % 21.57/5.58 | % 21.57/5.58 | Simplifying 270 yields: % 21.57/5.58 | (271) ~ (all_0_68_68 = e0) % 21.57/5.58 | % 21.57/5.58 | Equations (643) can reduce 115 to: % 21.57/5.58 | (514) ~ (e4 = e0) % 21.57/5.58 | % 21.57/5.58 | Simplifying 514 yields: % 21.57/5.58 | (17) ~ (e4 = e0) % 21.57/5.58 | % 21.57/5.58 | Equations (643) can reduce 198 to: % 21.57/5.58 | (274) ~ (e2 = e0) % 21.57/5.58 | % 21.57/5.58 | Simplifying 274 yields: % 21.57/5.58 | (48) ~ (e2 = e0) % 21.57/5.58 | % 21.57/5.58 | Equations (643) can reduce 642 to: % 21.57/5.58 | (276) ~ (e1 = e0) % 21.57/5.58 | % 21.57/5.58 | Simplifying 276 yields: % 21.57/5.58 | (204) ~ (e1 = e0) % 21.57/5.58 | % 21.57/5.58 | From (643) and (195) follows: % 21.57/5.58 | (1277) op(e2, e4) = e0 % 21.57/5.58 | % 21.57/5.58 +-Applying beta-rule and splitting (60), into two cases. % 21.57/5.58 |-Branch one: % 21.57/5.58 | (335) all_0_57_57 = e2 % 21.57/5.58 | % 21.57/5.58 | Combining equations (335,1840) yields a new equation: % 21.57/5.58 | (354) e2 = e0 % 21.57/5.58 | % 21.57/5.58 | Simplifying 354 yields: % 21.57/5.58 | (355) e2 = e0 % 21.57/5.58 | % 21.57/5.58 | Equations (355) can reduce 48 to: % 21.57/5.58 | (251) $false % 21.57/5.58 | % 21.57/5.58 |-The branch is then unsatisfiable % 21.57/5.58 |-Branch two: % 21.57/5.58 | (339) ~ (all_0_57_57 = e2) % 21.57/5.58 | (340) all_0_61_61 = e2 | all_0_69_69 = e2 % 21.57/5.58 | % 21.57/5.58 | Equations (1840) can reduce 339 to: % 21.57/5.58 | (274) ~ (e2 = e0) % 21.57/5.58 | % 21.57/5.58 | Simplifying 274 yields: % 21.57/5.58 | (48) ~ (e2 = e0) % 21.57/5.58 | % 21.57/5.58 +-Applying beta-rule and splitting (167), into two cases. % 21.57/5.58 |-Branch one: % 21.57/5.58 | (395) all_0_58_58 = e3 % 21.57/5.58 | % 21.57/5.58 | Equations (395) can reduce 180 to: % 21.57/5.58 | (5329) ~ (all_0_62_62 = e3) % 21.57/5.58 | % 21.57/5.58 | Simplifying 5329 yields: % 21.57/5.58 | (41) ~ (all_0_62_62 = e3) % 21.57/5.58 | % 21.57/5.58 | Equations (395) can reduce 224 to: % 21.57/5.58 | (396) ~ (all_0_70_70 = e3) % 21.57/5.58 | % 21.57/5.58 | Simplifying 396 yields: % 21.57/5.58 | (397) ~ (all_0_70_70 = e3) % 21.57/5.58 | % 21.57/5.58 | Equations (395) can reduce 214 to: % 21.57/5.58 | (774) ~ (e4 = e3) % 21.57/5.58 | % 21.57/5.58 | Simplifying 774 yields: % 21.57/5.58 | (130) ~ (e4 = e3) % 21.57/5.58 | % 21.57/5.58 | From (395) and (159) follows: % 21.57/5.58 | (5335) op(e3, e4) = all_0_3_3 % 21.57/5.58 | % 21.57/5.58 | From (395) and (31) follows: % 21.57/5.58 | (398) op(e3, e2) = all_0_4_4 % 21.57/5.58 | % 21.57/5.58 | From (395) and (90) follows: % 21.57/5.58 | (5337) op(e4, e3) = all_0_43_43 % 21.57/5.58 | % 21.57/5.58 | From (395) and (160) follows: % 21.57/5.58 | (5338) op(e4, e2) = e3 % 21.57/5.58 | % 21.57/5.58 | From (395) and (192) follows: % 21.57/5.58 | (399) op(e2, e3) = all_0_42_42 % 21.57/5.58 | % 21.57/5.58 +-Applying beta-rule and splitting (38), into two cases. % 21.57/5.58 |-Branch one: % 21.57/5.58 | (498) all_0_63_63 = e4 % 21.57/5.58 | % 21.57/5.58 | Equations (498) can reduce 70 to: % 21.57/5.58 | (920) ~ (all_0_62_62 = e4) % 21.57/5.58 | % 21.57/5.58 | Equations (498) can reduce 119 to: % 21.57/5.58 | (193) ~ (e4 = e1) % 21.57/5.58 | % 21.57/5.58 | From (498) and (62) follows: % 21.57/5.58 | (5343) op(e4, e3) = all_0_12_12 % 21.57/5.58 | % 21.57/5.58 +-Applying beta-rule and splitting (42), into two cases. % 21.57/5.58 |-Branch one: % 21.57/5.58 | (845) all_0_62_62 = e4 % 21.57/5.58 | % 21.57/5.58 | Equations (845) can reduce 920 to: % 21.57/5.58 | (251) $false % 21.57/5.58 | % 21.57/5.58 |-The branch is then unsatisfiable % 21.57/5.58 |-Branch two: % 21.57/5.58 | (920) ~ (all_0_62_62 = e4) % 21.57/5.58 | (2296) all_0_66_66 = e4 | all_0_70_70 = e4 % 21.57/5.58 | % 21.57/5.58 +-Applying beta-rule and splitting (2296), into two cases. % 21.57/5.58 |-Branch one: % 21.57/5.58 | (530) all_0_66_66 = e4 % 21.57/5.58 | % 21.57/5.58 | Combining equations (530,546) yields a new equation: % 21.57/5.58 | (2018) e4 = e1 % 21.57/5.58 | % 21.57/5.58 | Simplifying 2018 yields: % 21.57/5.58 | (1244) e4 = e1 % 21.57/5.58 | % 21.57/5.58 | Equations (1244) can reduce 193 to: % 21.57/5.58 | (251) $false % 21.57/5.58 | % 21.57/5.58 |-The branch is then unsatisfiable % 21.57/5.58 |-Branch two: % 21.57/5.58 | (534) ~ (all_0_66_66 = e4) % 21.57/5.58 | (500) all_0_70_70 = e4 % 21.57/5.58 | % 21.57/5.58 | Equations (500) can reduce 208 to: % 21.57/5.58 | (920) ~ (all_0_62_62 = e4) % 21.57/5.58 | % 21.57/5.58 | Equations (500) can reduce 397 to: % 21.57/5.58 | (130) ~ (e4 = e3) % 21.57/5.58 | % 21.57/5.58 | Equations (500) can reduce 471 to: % 21.57/5.58 | (17) ~ (e4 = e0) % 21.57/5.58 | % 21.57/5.58 | From (500) and (30) follows: % 21.57/5.58 | (1606) op(e4, e2) = all_0_26_26 % 21.57/5.58 | % 21.57/5.58 | From (500) and (81) follows: % 21.57/5.58 | (1610) op(e1, e2) = e4 % 21.57/5.58 | % 21.57/5.58 +-Applying beta-rule and splitting (213), into two cases. % 21.57/5.58 |-Branch one: % 21.57/5.58 | (1119) all_0_60_60 = e0 % 21.57/5.58 | % 21.57/5.58 | Combining equations (1119,278) yields a new equation: % 21.57/5.58 | (355) e2 = e0 % 21.57/5.58 | % 21.57/5.58 | Equations (355) can reduce 48 to: % 21.57/5.58 | (251) $false % 21.57/5.58 | % 21.57/5.58 |-The branch is then unsatisfiable % 21.57/5.58 |-Branch two: % 21.57/5.58 | (267) ~ (all_0_60_60 = e0) % 21.57/5.58 | (2002) all_0_61_61 = e0 | all_0_62_62 = e0 | all_0_63_63 = e0 % 21.57/5.58 | % 21.57/5.58 +-Applying beta-rule and splitting (2002), into two cases. % 21.57/5.58 |-Branch one: % 21.57/5.58 | (467) all_0_61_61 = e0 % 21.57/5.58 | % 21.57/5.58 | Combining equations (467,523) yields a new equation: % 21.57/5.58 | (288) e1 = e0 % 21.57/5.58 | % 21.57/5.58 | Equations (288) can reduce 204 to: % 21.57/5.58 | (251) $false % 21.57/5.58 | % 21.57/5.58 |-The branch is then unsatisfiable % 21.57/5.58 |-Branch two: % 21.57/5.58 | (2164) ~ (all_0_61_61 = e0) % 21.57/5.59 | (2268) all_0_62_62 = e0 | all_0_63_63 = e0 % 21.57/5.59 | % 21.57/5.59 +-Applying beta-rule and splitting (2268), into two cases. % 21.57/5.59 |-Branch one: % 21.57/5.59 | (925) all_0_62_62 = e0 % 21.57/5.59 | % 21.57/5.59 | Equations (925) can reduce 920 to: % 21.57/5.59 | (514) ~ (e4 = e0) % 21.57/5.59 | % 21.57/5.59 | Simplifying 514 yields: % 21.57/5.59 | (17) ~ (e4 = e0) % 21.57/5.59 | % 21.57/5.59 | Equations (925) can reduce 41 to: % 21.57/5.59 | (272) ~ (e3 = e0) % 21.57/5.59 | % 21.57/5.59 | Simplifying 272 yields: % 21.57/5.59 | (36) ~ (e3 = e0) % 21.57/5.59 | % 21.57/5.59 | Equations (925) can reduce 632 to: % 21.57/5.59 | (276) ~ (e1 = e0) % 21.57/5.59 | % 21.57/5.59 | Simplifying 276 yields: % 21.57/5.59 | (204) ~ (e1 = e0) % 21.57/5.59 | % 21.57/5.59 | From (925) and (84) follows: % 21.57/5.59 | (5376) op(e3, e2) = e0 % 21.57/5.59 | % 21.57/5.59 +-Applying beta-rule and splitting (340), into two cases. % 21.57/5.59 |-Branch one: % 21.57/5.59 | (341) all_0_61_61 = e2 % 21.57/5.59 | % 21.57/5.59 | Combining equations (341,523) yields a new equation: % 21.57/5.59 | (336) e2 = e1 % 21.57/5.59 | % 21.57/5.59 | Simplifying 336 yields: % 21.57/5.59 | (337) e2 = e1 % 21.57/5.59 | % 21.57/5.59 | Equations (337) can reduce 184 to: % 21.57/5.59 | (251) $false % 21.57/5.59 | % 21.57/5.59 |-The branch is then unsatisfiable % 21.57/5.59 |-Branch two: % 21.57/5.59 | (244) ~ (all_0_61_61 = e2) % 21.57/5.59 | (344) all_0_69_69 = e2 % 21.57/5.59 | % 21.57/5.59 | Equations (344) can reduce 1156 to: % 21.57/5.59 | (48) ~ (e2 = e0) % 21.57/5.59 | % 21.57/5.59 | From (344) and (69) follows: % 21.57/5.59 | (348) op(e2, e3) = all_0_24_24 % 21.57/5.59 | % 21.57/5.59 | From (344) and (163) follows: % 21.57/5.59 | (351) op(e1, e2) = all_0_41_41 % 21.57/5.59 | % 21.57/5.59 +-Applying beta-rule and splitting (33), into two cases. % 21.57/5.59 |-Branch one: % 21.57/5.59 | (292) all_0_68_68 = e3 % 21.57/5.59 | % 21.57/5.59 | Equations (292) can reduce 108 to: % 21.57/5.59 | (15) ~ (e3 = e1) % 21.57/5.59 | % 21.57/5.59 | Equations (292) can reduce 271 to: % 21.57/5.59 | (36) ~ (e3 = e0) % 21.57/5.59 | % 21.57/5.59 | From (292) and (190) follows: % 21.57/5.59 | (300) op(e4, e3) = all_0_33_33 % 21.57/5.59 | % 21.57/5.59 | Instantiating formula (61) with e4, e3, all_0_33_33, all_0_12_12 and discharging atoms op(e4, e3) = all_0_12_12, op(e4, e3) = all_0_33_33, yields: % 21.57/5.59 | (5390) all_0_12_12 = all_0_33_33 % 21.57/5.59 | % 21.57/5.59 | Instantiating formula (61) with e4, e3, all_0_33_33, all_0_17_17 and discharging atoms op(e4, e3) = all_0_17_17, op(e4, e3) = all_0_33_33, yields: % 21.57/5.59 | (5391) all_0_17_17 = all_0_33_33 % 21.57/5.59 | % 21.57/5.59 | Instantiating formula (61) with e4, e3, all_0_43_43, all_0_12_12 and discharging atoms op(e4, e3) = all_0_12_12, op(e4, e3) = all_0_43_43, yields: % 21.57/5.59 | (5392) all_0_12_12 = all_0_43_43 % 21.57/5.59 | % 21.57/5.59 | Instantiating formula (61) with e4, e3, e0, all_0_17_17 and discharging atoms op(e4, e3) = all_0_17_17, op(e4, e3) = e0, yields: % 21.57/5.59 | (5393) all_0_17_17 = e0 % 21.57/5.59 | % 21.57/5.59 | Instantiating formula (61) with e4, e2, all_0_26_26, all_0_16_16 and discharging atoms op(e4, e2) = all_0_16_16, op(e4, e2) = all_0_26_26, yields: % 21.57/5.59 | (1648) all_0_16_16 = all_0_26_26 % 21.57/5.59 | % 21.57/5.59 | Instantiating formula (61) with e4, e2, all_0_29_29, all_0_16_16 and discharging atoms op(e4, e2) = all_0_16_16, op(e4, e2) = all_0_29_29, yields: % 21.57/5.59 | (1649) all_0_16_16 = all_0_29_29 % 21.57/5.59 | % 21.57/5.59 | Instantiating formula (61) with e4, e2, all_0_50_50, all_0_26_26 and discharging atoms op(e4, e2) = all_0_26_26, op(e4, e2) = all_0_50_50, yields: % 21.57/5.59 | (1690) all_0_26_26 = all_0_50_50 % 21.57/5.59 | % 21.57/5.59 | Instantiating formula (61) with e4, e2, e3, all_0_16_16 and discharging atoms op(e4, e2) = all_0_16_16, op(e4, e2) = e3, yields: % 21.57/5.59 | (5397) all_0_16_16 = e3 % 21.57/5.59 | % 21.57/5.59 | Instantiating formula (61) with e3, e4, all_0_38_38, all_0_3_3 and discharging atoms op(e3, e4) = all_0_3_3, op(e3, e4) = all_0_38_38, yields: % 21.57/5.59 | (5398) all_0_3_3 = all_0_38_38 % 21.57/5.59 | % 21.57/5.59 | Instantiating formula (61) with e3, e4, e2, all_0_3_3 and discharging atoms op(e3, e4) = all_0_3_3, op(e3, e4) = e2, yields: % 21.57/5.59 | (2519) all_0_3_3 = e2 % 21.57/5.59 | % 21.57/5.59 | Instantiating formula (61) with e3, e2, all_0_19_19, all_0_4_4 and discharging atoms op(e3, e2) = all_0_4_4, op(e3, e2) = all_0_19_19, yields: % 21.57/5.59 | (401) all_0_4_4 = all_0_19_19 % 21.57/5.59 | % 21.57/5.59 | Instantiating formula (61) with e3, e2, all_0_30_30, all_0_4_4 and discharging atoms op(e3, e2) = all_0_4_4, op(e3, e2) = all_0_30_30, yields: % 21.57/5.59 | (402) all_0_4_4 = all_0_30_30 % 21.57/5.59 | % 21.57/5.59 | Instantiating formula (61) with e3, e2, e0, all_0_19_19 and discharging atoms op(e3, e2) = all_0_19_19, op(e3, e2) = e0, yields: % 21.57/5.59 | (5402) all_0_19_19 = e0 % 21.57/5.59 | % 21.57/5.59 | Instantiating formula (61) with e2, e4, all_0_39_39, all_0_8_8 and discharging atoms op(e2, e4) = all_0_8_8, op(e2, e4) = all_0_39_39, yields: % 21.57/5.59 | (1674) all_0_8_8 = all_0_39_39 % 21.57/5.59 | % 21.57/5.59 | Instantiating formula (61) with e2, e4, e0, all_0_8_8 and discharging atoms op(e2, e4) = all_0_8_8, op(e2, e4) = e0, yields: % 21.57/5.59 | (5404) all_0_8_8 = e0 % 21.57/5.59 | % 21.57/5.59 | Instantiating formula (61) with e2, e3, all_0_24_24, all_0_7_7 and discharging atoms op(e2, e3) = all_0_7_7, op(e2, e3) = all_0_24_24, yields: % 21.57/5.59 | (5405) all_0_7_7 = all_0_24_24 % 21.57/5.59 | % 21.57/5.59 | Instantiating formula (61) with e2, e3, all_0_42_42, all_0_7_7 and discharging atoms op(e2, e3) = all_0_7_7, op(e2, e3) = all_0_42_42, yields: % 21.57/5.59 | (410) all_0_7_7 = all_0_42_42 % 21.57/5.59 | % 21.57/5.59 | Instantiating formula (61) with e2, e3, e4, all_0_24_24 and discharging atoms op(e2, e3) = all_0_24_24, op(e2, e3) = e4, yields: % 21.57/5.59 | (5407) all_0_24_24 = e4 % 21.57/5.59 | % 21.57/5.59 | Instantiating formula (61) with e1, e2, all_0_49_49, all_0_41_41 and discharging atoms op(e1, e2) = all_0_41_41, op(e1, e2) = all_0_49_49, yields: % 21.57/5.59 | (440) all_0_41_41 = all_0_49_49 % 21.57/5.59 | % 21.57/5.59 | Instantiating formula (61) with e1, e2, e4, all_0_41_41 and discharging atoms op(e1, e2) = all_0_41_41, op(e1, e2) = e4, yields: % 21.57/5.59 | (1683) all_0_41_41 = e4 % 21.57/5.59 | % 21.57/5.59 | Combining equations (5398,2519) yields a new equation: % 21.57/5.59 | (5410) all_0_38_38 = e2 % 21.57/5.59 | % 21.57/5.59 | Simplifying 5410 yields: % 21.57/5.59 | (824) all_0_38_38 = e2 % 21.57/5.59 | % 21.57/5.59 | Combining equations (401,402) yields a new equation: % 21.57/5.59 | (428) all_0_19_19 = all_0_30_30 % 21.57/5.59 | % 21.57/5.59 | Simplifying 428 yields: % 21.57/5.59 | (429) all_0_19_19 = all_0_30_30 % 21.57/5.59 | % 21.57/5.59 | Combining equations (5405,410) yields a new equation: % 21.57/5.59 | (5414) all_0_24_24 = all_0_42_42 % 21.57/5.59 | % 21.57/5.59 | Simplifying 5414 yields: % 21.57/5.59 | (411) all_0_24_24 = all_0_42_42 % 21.57/5.59 | % 21.57/5.59 | Combining equations (5404,1674) yields a new equation: % 21.57/5.59 | (5416) all_0_39_39 = e0 % 21.57/5.59 | % 21.57/5.59 | Combining equations (5390,5392) yields a new equation: % 21.57/5.59 | (5417) all_0_33_33 = all_0_43_43 % 21.57/5.59 | % 21.57/5.59 | Simplifying 5417 yields: % 21.57/5.59 | (5418) all_0_33_33 = all_0_43_43 % 21.57/5.59 | % 21.57/5.59 | Combining equations (1648,1649) yields a new equation: % 21.57/5.59 | (5419) all_0_26_26 = all_0_29_29 % 21.57/5.59 | % 21.57/5.59 | Simplifying 5419 yields: % 21.57/5.59 | (1691) all_0_26_26 = all_0_29_29 % 21.57/5.59 | % 21.57/5.59 | Combining equations (5397,1649) yields a new equation: % 21.57/5.59 | (5421) all_0_29_29 = e3 % 21.57/5.59 | % 21.57/5.59 | Combining equations (5391,5393) yields a new equation: % 21.57/5.59 | (5422) all_0_33_33 = e0 % 21.57/5.59 | % 21.57/5.59 | Simplifying 5422 yields: % 21.57/5.59 | (5036) all_0_33_33 = e0 % 21.57/5.59 | % 21.57/5.59 | Combining equations (429,5402) yields a new equation: % 21.57/5.59 | (5424) all_0_30_30 = e0 % 21.57/5.59 | % 21.57/5.59 | Simplifying 5424 yields: % 21.57/5.59 | (5425) all_0_30_30 = e0 % 21.57/5.59 | % 21.57/5.59 | Combining equations (411,5407) yields a new equation: % 21.57/5.59 | (1385) all_0_42_42 = e4 % 21.57/5.59 | % 21.57/5.59 | Simplifying 1385 yields: % 21.57/5.59 | (1386) all_0_42_42 = e4 % 21.57/5.59 | % 21.57/5.59 | Combining equations (1691,1690) yields a new equation: % 21.57/5.59 | (1696) all_0_29_29 = all_0_50_50 % 21.57/5.59 | % 21.57/5.59 | Simplifying 1696 yields: % 21.57/5.59 | (1697) all_0_29_29 = all_0_50_50 % 21.57/5.60 | % 21.57/5.60 | Combining equations (5421,1697) yields a new equation: % 21.57/5.60 | (5430) all_0_50_50 = e3 % 21.57/5.60 | % 21.57/5.60 | Combining equations (5036,5418) yields a new equation: % 21.57/5.60 | (1382) all_0_43_43 = e0 % 21.57/5.60 | % 21.57/5.60 | Combining equations (440,1683) yields a new equation: % 21.57/5.60 | (1702) all_0_49_49 = e4 % 21.57/5.60 | % 21.57/5.60 | Simplifying 1702 yields: % 21.57/5.60 | (1703) all_0_49_49 = e4 % 21.57/5.60 | % 21.57/5.60 | Combining equations (5430,1697) yields a new equation: % 21.57/5.60 | (5421) all_0_29_29 = e3 % 21.57/5.60 | % 21.57/5.60 +-Applying beta-rule and splitting (183), into two cases. % 21.57/5.60 |-Branch one: % 21.57/5.60 | (462) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) | (( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3)) | (( ~ (all_0_42_42 = e4) | all_0_43_43 = e2) & ( ~ (all_0_44_44 = e3) | all_0_45_45 = e2) & ( ~ (all_0_47_47 = e1) | all_0_48_48 = e2)) % 21.57/5.60 | % 21.57/5.60 +-Applying beta-rule and splitting (462), into two cases. % 21.57/5.60 |-Branch one: % 21.57/5.60 | (463) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) | (( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3)) % 21.57/5.60 | % 21.57/5.60 +-Applying beta-rule and splitting (463), into two cases. % 21.57/5.60 |-Branch one: % 21.57/5.60 | (464) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) % 21.57/5.60 | % 21.57/5.60 +-Applying beta-rule and splitting (464), into two cases. % 21.57/5.60 |-Branch one: % 21.57/5.60 | (465) all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0 % 21.57/5.60 | % 21.57/5.60 | Applying alpha-rule on (465) yields: % 21.57/5.60 | (261) all_0_56_56 = e0 % 21.57/5.60 | (467) all_0_61_61 = e0 % 21.57/5.60 | (468) all_0_66_66 = e0 % 21.57/5.60 | (469) all_0_71_71 = e0 % 21.57/5.60 | % 21.57/5.60 | Combining equations (468,546) yields a new equation: % 21.57/5.60 | (288) e1 = e0 % 21.57/5.60 | % 21.57/5.60 | Equations (288) can reduce 204 to: % 21.57/5.60 | (251) $false % 21.57/5.60 | % 21.57/5.60 |-The branch is then unsatisfiable % 21.57/5.60 |-Branch two: % 21.57/5.60 | (578) ( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4) % 21.57/5.60 | % 21.57/5.60 | Applying alpha-rule on (578) yields: % 21.57/5.60 | (579) ~ (all_0_29_29 = e3) | all_0_30_30 = e4 % 21.57/5.60 | (580) ~ (all_0_31_31 = e2) | all_0_32_32 = e4 % 21.57/5.60 | (581) ~ (all_0_33_33 = e1) | all_0_34_34 = e4 % 21.57/5.60 | % 21.57/5.60 +-Applying beta-rule and splitting (579), into two cases. % 21.57/5.60 |-Branch one: % 21.57/5.60 | (5449) ~ (all_0_29_29 = e3) % 21.57/5.60 | % 21.57/5.60 | Equations (5421) can reduce 5449 to: % 21.57/5.60 | (251) $false % 21.57/5.60 | % 21.57/5.60 |-The branch is then unsatisfiable % 21.57/5.60 |-Branch two: % 21.57/5.60 | (5421) all_0_29_29 = e3 % 21.57/5.60 | (5452) all_0_30_30 = e4 % 21.57/5.60 | % 21.57/5.60 | Combining equations (5425,5452) yields a new equation: % 21.57/5.60 | (510) e4 = e0 % 21.57/5.60 | % 21.57/5.60 | Equations (510) can reduce 17 to: % 21.57/5.60 | (251) $false % 21.57/5.60 | % 21.57/5.60 |-The branch is then unsatisfiable % 21.57/5.60 |-Branch two: % 21.57/5.60 | (588) ( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3) % 21.57/5.60 | % 21.57/5.60 | Applying alpha-rule on (588) yields: % 21.57/5.60 | (589) ~ (all_0_35_35 = e4) | all_0_36_36 = e3 % 21.57/5.60 | (590) ~ (all_0_38_38 = e2) | all_0_39_39 = e3 % 21.57/5.60 | (591) ~ (all_0_40_40 = e1) | all_0_41_41 = e3 % 21.57/5.60 | % 21.57/5.60 +-Applying beta-rule and splitting (590), into two cases. % 21.57/5.60 |-Branch one: % 21.57/5.60 | (941) ~ (all_0_38_38 = e2) % 21.57/5.60 | % 21.57/5.60 | Equations (824) can reduce 941 to: % 21.57/5.60 | (251) $false % 21.57/5.60 | % 21.57/5.60 |-The branch is then unsatisfiable % 21.57/5.60 |-Branch two: % 21.57/5.60 | (824) all_0_38_38 = e2 % 21.57/5.60 | (944) all_0_39_39 = e3 % 21.57/5.60 | % 21.57/5.60 | Combining equations (944,5416) yields a new equation: % 21.57/5.60 | (390) e3 = e0 % 21.57/5.60 | % 21.57/5.60 | Simplifying 390 yields: % 21.57/5.60 | (391) e3 = e0 % 21.57/5.60 | % 21.57/5.60 | Equations (391) can reduce 36 to: % 21.57/5.60 | (251) $false % 21.57/5.60 | % 21.57/5.60 |-The branch is then unsatisfiable % 21.57/5.60 |-Branch two: % 21.57/5.60 | (599) ( ~ (all_0_42_42 = e4) | all_0_43_43 = e2) & ( ~ (all_0_44_44 = e3) | all_0_45_45 = e2) & ( ~ (all_0_47_47 = e1) | all_0_48_48 = e2) % 21.57/5.60 | % 21.57/5.60 | Applying alpha-rule on (599) yields: % 21.57/5.60 | (600) ~ (all_0_42_42 = e4) | all_0_43_43 = e2 % 21.57/5.60 | (601) ~ (all_0_44_44 = e3) | all_0_45_45 = e2 % 21.57/5.60 | (602) ~ (all_0_47_47 = e1) | all_0_48_48 = e2 % 21.57/5.60 | % 21.57/5.60 +-Applying beta-rule and splitting (600), into two cases. % 21.57/5.60 |-Branch one: % 21.57/5.60 | (1426) ~ (all_0_42_42 = e4) % 21.57/5.60 | % 21.57/5.60 | Equations (1386) can reduce 1426 to: % 21.57/5.60 | (251) $false % 21.57/5.60 | % 21.57/5.60 |-The branch is then unsatisfiable % 21.57/5.60 |-Branch two: % 21.57/5.60 | (1386) all_0_42_42 = e4 % 21.57/5.60 | (1429) all_0_43_43 = e2 % 21.57/5.60 | % 21.57/5.60 | Combining equations (1429,1382) yields a new equation: % 21.57/5.60 | (354) e2 = e0 % 21.57/5.60 | % 21.57/5.60 | Simplifying 354 yields: % 21.57/5.60 | (355) e2 = e0 % 21.57/5.60 | % 21.57/5.60 | Equations (355) can reduce 48 to: % 21.57/5.60 | (251) $false % 21.57/5.60 | % 21.57/5.60 |-The branch is then unsatisfiable % 21.57/5.60 |-Branch two: % 21.57/5.60 | (610) ( ~ (all_0_49_49 = e4) | all_0_50_50 = e1) & ( ~ (all_0_51_51 = e3) | all_0_52_52 = e1) & ( ~ (all_0_53_53 = e2) | all_0_54_54 = e1) % 21.57/5.60 | % 21.57/5.60 | Applying alpha-rule on (610) yields: % 21.57/5.60 | (611) ~ (all_0_49_49 = e4) | all_0_50_50 = e1 % 21.57/5.60 | (612) ~ (all_0_51_51 = e3) | all_0_52_52 = e1 % 21.57/5.60 | (613) ~ (all_0_53_53 = e2) | all_0_54_54 = e1 % 21.57/5.60 | % 21.57/5.60 +-Applying beta-rule and splitting (611), into two cases. % 21.57/5.60 |-Branch one: % 21.57/5.60 | (1753) ~ (all_0_49_49 = e4) % 21.57/5.60 | % 21.57/5.60 | Equations (1703) can reduce 1753 to: % 21.57/5.60 | (251) $false % 21.57/5.60 | % 21.57/5.60 |-The branch is then unsatisfiable % 21.57/5.60 |-Branch two: % 21.57/5.60 | (1703) all_0_49_49 = e4 % 21.57/5.60 | (1756) all_0_50_50 = e1 % 21.57/5.60 | % 21.57/5.60 | Combining equations (1756,5430) yields a new equation: % 21.57/5.60 | (661) e3 = e1 % 21.57/5.60 | % 21.57/5.60 | Equations (661) can reduce 15 to: % 21.57/5.60 | (251) $false % 21.57/5.60 | % 21.57/5.60 |-The branch is then unsatisfiable % 21.57/5.60 |-Branch two: % 21.57/5.60 | (645) ~ (all_0_68_68 = e3) % 21.57/5.60 | (1050) all_0_70_70 = e3 | all_0_71_71 = e3 % 21.57/5.60 | % 21.57/5.60 +-Applying beta-rule and splitting (1050), into two cases. % 21.57/5.60 |-Branch one: % 21.57/5.60 | (597) all_0_70_70 = e3 % 21.57/5.60 | % 21.57/5.60 | Combining equations (500,597) yields a new equation: % 21.57/5.60 | (1463) e4 = e3 % 21.57/5.60 | % 21.57/5.60 | Simplifying 1463 yields: % 21.57/5.60 | (935) e4 = e3 % 21.57/5.60 | % 21.57/5.60 | Equations (935) can reduce 130 to: % 21.57/5.60 | (251) $false % 21.57/5.60 | % 21.57/5.60 |-The branch is then unsatisfiable % 21.57/5.60 |-Branch two: % 21.57/5.60 | (397) ~ (all_0_70_70 = e3) % 21.57/5.60 | (558) all_0_71_71 = e3 % 21.57/5.60 | % 21.57/5.60 | Combining equations (558,469) yields a new equation: % 21.57/5.60 | (390) e3 = e0 % 21.57/5.60 | % 21.57/5.60 | Simplifying 390 yields: % 21.57/5.60 | (391) e3 = e0 % 21.57/5.60 | % 21.57/5.60 | Equations (391) can reduce 36 to: % 21.57/5.60 | (251) $false % 21.57/5.60 | % 21.57/5.60 |-The branch is then unsatisfiable % 21.57/5.60 |-Branch two: % 21.57/5.60 | (838) ~ (all_0_62_62 = e0) % 21.57/5.60 | (576) all_0_63_63 = e0 % 21.57/5.60 | % 21.57/5.60 | Combining equations (498,576) yields a new equation: % 21.57/5.60 | (531) e4 = e0 % 21.57/5.60 | % 21.57/5.60 | Simplifying 531 yields: % 21.57/5.60 | (510) e4 = e0 % 21.57/5.60 | % 21.57/5.60 | Equations (510) can reduce 17 to: % 21.57/5.60 | (251) $false % 21.57/5.60 | % 21.57/5.60 |-The branch is then unsatisfiable % 21.57/5.60 |-Branch two: % 21.57/5.60 | (571) ~ (all_0_63_63 = e4) % 21.57/5.60 | (2319) all_0_67_67 = e4 | all_0_71_71 = e4 % 21.57/5.60 | % 21.57/5.60 +-Applying beta-rule and splitting (2319), into two cases. % 21.57/5.60 |-Branch one: % 21.57/5.60 | (1251) all_0_67_67 = e4 % 21.57/5.60 | % 21.57/5.60 | Combining equations (1251,380) yields a new equation: % 21.57/5.60 | (1463) e4 = e3 % 21.57/5.60 | % 21.57/5.60 | Simplifying 1463 yields: % 21.57/5.60 | (935) e4 = e3 % 21.57/5.60 | % 21.57/5.60 | Equations (935) can reduce 130 to: % 21.57/5.60 | (251) $false % 21.57/5.60 | % 21.57/5.60 |-The branch is then unsatisfiable % 21.57/5.60 |-Branch two: % 21.57/5.60 | (1581) ~ (all_0_67_67 = e4) % 21.57/5.60 | (552) all_0_71_71 = e4 % 21.57/5.60 | % 21.57/5.60 | Combining equations (469,552) yields a new equation: % 21.57/5.60 | (510) e4 = e0 % 21.57/5.60 | % 21.57/5.60 | Equations (510) can reduce 17 to: % 21.57/5.60 | (251) $false % 21.57/5.60 | % 21.57/5.60 |-The branch is then unsatisfiable % 21.57/5.60 |-Branch two: % 21.57/5.60 | (621) ~ (all_0_58_58 = e3) % 21.57/5.60 | (622) all_0_58_58 = e1 | all_0_58_58 = e0 % 21.57/5.60 | % 21.57/5.60 +-Applying beta-rule and splitting (2059), into two cases. % 21.57/5.60 |-Branch one: % 21.57/5.60 | (925) all_0_62_62 = e0 % 21.57/5.60 | % 21.57/5.60 | Equations (925) can reduce 180 to: % 21.57/5.60 | (263) ~ (all_0_58_58 = e0) % 21.57/5.60 | % 21.57/5.60 +-Applying beta-rule and splitting (622), into two cases. % 21.57/5.60 |-Branch one: % 21.57/5.60 | (323) all_0_58_58 = e1 % 21.57/5.60 | % 21.57/5.60 | Equations (323) can reduce 315 to: % 21.57/5.60 | (251) $false % 21.57/5.60 | % 21.57/5.60 |-The branch is then unsatisfiable % 21.80/5.60 |-Branch two: % 21.80/5.60 | (315) ~ (all_0_58_58 = e1) % 21.80/5.60 | (1060) all_0_58_58 = e0 % 21.80/5.60 | % 21.80/5.60 | Equations (1060) can reduce 263 to: % 21.80/5.60 | (251) $false % 21.80/5.60 | % 21.80/5.60 |-The branch is then unsatisfiable % 21.80/5.60 |-Branch two: % 21.80/5.60 | (838) ~ (all_0_62_62 = e0) % 21.80/5.60 | (2086) all_0_66_66 = e0 | all_0_70_70 = e0 % 21.80/5.60 | % 21.80/5.60 +-Applying beta-rule and splitting (2086), into two cases. % 21.80/5.60 |-Branch one: % 21.80/5.60 | (468) all_0_66_66 = e0 % 21.80/5.60 | % 21.80/5.60 | Combining equations (546,468) yields a new equation: % 21.80/5.60 | (287) e1 = e0 % 21.80/5.60 | % 21.80/5.60 | Simplifying 287 yields: % 21.80/5.60 | (288) e1 = e0 % 21.80/5.60 | % 21.80/5.60 | Equations (288) can reduce 204 to: % 21.80/5.60 | (251) $false % 21.80/5.60 | % 21.80/5.60 |-The branch is then unsatisfiable % 21.80/5.60 |-Branch two: % 21.80/5.60 | (1457) ~ (all_0_66_66 = e0) % 21.80/5.60 | (1323) all_0_70_70 = e0 % 21.80/5.60 | % 21.80/5.60 | Equations (1323) can reduce 471 to: % 21.80/5.60 | (251) $false % 21.80/5.60 | % 21.80/5.60 |-The branch is then unsatisfiable % 21.80/5.60 |-Branch two: % 21.80/5.60 | (1246) ~ (all_0_65_65 = e4) % 21.80/5.60 | (1802) all_0_65_65 = e1 | all_0_65_65 = e0 % 21.80/5.60 | % 21.80/5.60 +-Applying beta-rule and splitting (305), into two cases. % 21.80/5.60 |-Branch one: % 21.80/5.60 | (306) all_0_64_64 = e1 % 21.80/5.60 | % 21.80/5.60 | Equations (306) can reduce 642 to: % 21.80/5.60 | (251) $false % 21.80/5.60 | % 21.80/5.60 |-The branch is then unsatisfiable % 21.80/5.60 |-Branch two: % 21.80/5.60 | (642) ~ (all_0_64_64 = e1) % 21.80/5.60 | (643) all_0_64_64 = e0 % 21.80/5.60 | % 21.80/5.60 | Equations (643) can reduce 191 to: % 21.80/5.60 | (1153) ~ (all_0_65_65 = e0) % 21.80/5.60 | % 21.80/5.60 | Simplifying 1153 yields: % 21.80/5.60 | (1154) ~ (all_0_65_65 = e0) % 21.80/5.60 | % 21.80/5.60 +-Applying beta-rule and splitting (1802), into two cases. % 21.80/5.60 |-Branch one: % 21.80/5.60 | (619) all_0_65_65 = e1 % 21.80/5.60 | % 21.80/5.60 | Equations (619) can reduce 308 to: % 21.80/5.60 | (251) $false % 21.80/5.60 | % 21.80/5.60 |-The branch is then unsatisfiable % 21.80/5.60 |-Branch two: % 21.80/5.60 | (308) ~ (all_0_65_65 = e1) % 21.80/5.60 | (1448) all_0_65_65 = e0 % 21.80/5.60 | % 21.80/5.60 | Equations (1448) can reduce 1154 to: % 21.80/5.60 | (251) $false % 21.80/5.60 | % 21.80/5.60 |-The branch is then unsatisfiable % 21.80/5.61 |-Branch two: % 21.80/5.61 | (629) ~ (all_0_67_67 = e3) % 21.80/5.61 | (558) all_0_71_71 = e3 % 21.80/5.61 | % 21.80/5.61 | Combining equations (558,469) yields a new equation: % 21.80/5.61 | (390) e3 = e0 % 21.80/5.61 | % 21.80/5.61 | Simplifying 390 yields: % 21.80/5.61 | (391) e3 = e0 % 21.80/5.61 | % 21.80/5.61 | Equations (391) can reduce 36 to: % 21.80/5.61 | (251) $false % 21.80/5.61 | % 21.80/5.61 |-The branch is then unsatisfiable % 21.80/5.61 |-Branch two: % 21.80/5.61 | (666) ~ (all_0_60_60 = e2) % 21.80/5.61 | (685) all_0_61_61 = e2 | all_0_63_63 = e2 % 21.80/5.61 | % 21.80/5.61 +-Applying beta-rule and splitting (201), into two cases. % 21.80/5.61 |-Branch one: % 21.80/5.61 | (335) all_0_57_57 = e2 % 21.80/5.61 | % 21.80/5.61 | Equations (335) can reduce 339 to: % 21.80/5.61 | (251) $false % 21.80/5.61 | % 21.80/5.61 |-The branch is then unsatisfiable % 21.80/5.61 |-Branch two: % 21.80/5.61 | (339) ~ (all_0_57_57 = e2) % 21.80/5.61 | (991) all_0_57_57 = e1 | all_0_57_57 = e0 % 21.80/5.61 | % 21.80/5.61 +-Applying beta-rule and splitting (60), into two cases. % 21.80/5.61 |-Branch one: % 21.80/5.61 | (335) all_0_57_57 = e2 % 21.80/5.61 | % 21.80/5.61 | Equations (335) can reduce 339 to: % 21.80/5.61 | (251) $false % 21.80/5.61 | % 21.80/5.61 |-The branch is then unsatisfiable % 21.80/5.61 |-Branch two: % 21.80/5.61 | (339) ~ (all_0_57_57 = e2) % 21.80/5.61 | (340) all_0_61_61 = e2 | all_0_69_69 = e2 % 21.80/5.61 | % 21.80/5.61 +-Applying beta-rule and splitting (340), into two cases. % 21.80/5.61 |-Branch one: % 21.80/5.61 | (341) all_0_61_61 = e2 % 21.80/5.61 | % 21.80/5.61 | Combining equations (523,341) yields a new equation: % 21.80/5.61 | (337) e2 = e1 % 21.80/5.61 | % 21.80/5.61 | Equations (337) can reduce 184 to: % 21.80/5.61 | (251) $false % 21.80/5.61 | % 21.80/5.61 |-The branch is then unsatisfiable % 21.80/5.61 |-Branch two: % 21.80/5.61 | (244) ~ (all_0_61_61 = e2) % 21.80/5.61 | (344) all_0_69_69 = e2 % 21.80/5.61 | % 21.80/5.61 | Equations (344) can reduce 194 to: % 21.80/5.61 | (987) ~ (all_0_68_68 = e2) % 21.80/5.61 | % 21.80/5.61 | Equations (344) can reduce 156 to: % 21.80/5.61 | (184) ~ (e2 = e1) % 21.80/5.61 | % 21.80/5.61 +-Applying beta-rule and splitting (991), into two cases. % 21.80/5.61 |-Branch one: % 21.80/5.61 | (313) all_0_57_57 = e1 % 21.80/5.61 | % 21.80/5.61 | Equations (313) can reduce 635 to: % 21.80/5.61 | (251) $false % 21.80/5.61 | % 21.80/5.61 |-The branch is then unsatisfiable % 21.80/5.61 |-Branch two: % 21.80/5.61 | (635) ~ (all_0_57_57 = e1) % 21.80/5.61 | (1840) all_0_57_57 = e0 % 21.80/5.61 | % 21.80/5.61 | Equations (1840) can reduce 71 to: % 21.80/5.61 | (262) ~ (all_0_58_58 = e0) % 21.80/5.61 | % 21.80/5.61 | Simplifying 262 yields: % 21.80/5.61 | (263) ~ (all_0_58_58 = e0) % 21.80/5.61 | % 21.80/5.61 | Equations (1840) can reduce 124 to: % 21.80/5.61 | (272) ~ (e3 = e0) % 21.80/5.61 | % 21.80/5.61 | Simplifying 272 yields: % 21.80/5.61 | (36) ~ (e3 = e0) % 21.80/5.61 | % 21.80/5.61 +-Applying beta-rule and splitting (379), into two cases. % 21.80/5.61 |-Branch one: % 21.80/5.61 | (380) all_0_67_67 = e3 % 21.80/5.61 | % 21.80/5.61 | Equations (380) can reduce 139 to: % 21.80/5.61 | (128) ~ (e3 = e2) % 21.80/5.61 | % 21.80/5.61 +-Applying beta-rule and splitting (68), into two cases. % 21.80/5.61 |-Branch one: % 21.80/5.61 | (278) all_0_60_60 = e2 % 21.80/5.61 | % 21.80/5.61 | Equations (278) can reduce 666 to: % 21.80/5.61 | (251) $false % 21.80/5.61 | % 21.80/5.61 |-The branch is then unsatisfiable % 21.80/5.61 |-Branch two: % 21.80/5.61 | (666) ~ (all_0_60_60 = e2) % 21.80/5.61 | (667) all_0_60_60 = e1 | all_0_60_60 = e0 % 21.80/5.61 | % 21.80/5.61 +-Applying beta-rule and splitting (394), into two cases. % 21.80/5.61 |-Branch one: % 21.80/5.61 | (395) all_0_58_58 = e3 % 21.80/5.61 | % 21.80/5.61 | Equations (395) can reduce 224 to: % 21.80/5.61 | (396) ~ (all_0_70_70 = e3) % 21.80/5.61 | % 21.80/5.61 | Simplifying 396 yields: % 21.80/5.61 | (397) ~ (all_0_70_70 = e3) % 21.80/5.61 | % 21.80/5.61 | Equations (395) can reduce 263 to: % 21.80/5.61 | (36) ~ (e3 = e0) % 21.80/5.61 | % 21.80/5.61 +-Applying beta-rule and splitting (33), into two cases. % 21.80/5.61 |-Branch one: % 21.80/5.61 | (292) all_0_68_68 = e3 % 21.80/5.61 | % 21.80/5.61 | Equations (292) can reduce 987 to: % 21.80/5.61 | (128) ~ (e3 = e2) % 21.80/5.61 | % 21.80/5.61 +-Applying beta-rule and splitting (153), into two cases. % 21.80/5.61 |-Branch one: % 21.80/5.61 | (254) all_0_56_56 = e2 % 21.80/5.61 | % 21.80/5.61 | Combining equations (254,258) yields a new equation: % 21.80/5.61 | (336) e2 = e1 % 21.80/5.61 | % 21.80/5.61 | Simplifying 336 yields: % 21.80/5.61 | (337) e2 = e1 % 21.80/5.61 | % 21.80/5.61 | Equations (337) can reduce 184 to: % 21.80/5.61 | (251) $false % 21.80/5.61 | % 21.80/5.61 |-The branch is then unsatisfiable % 21.80/5.61 |-Branch two: % 21.80/5.61 | (247) ~ (all_0_56_56 = e2) % 21.80/5.61 | (709) all_0_60_60 = e2 | all_0_68_68 = e2 % 21.80/5.61 | % 21.80/5.61 +-Applying beta-rule and splitting (667), into two cases. % 21.80/5.61 |-Branch one: % 21.80/5.61 | (647) all_0_60_60 = e1 % 21.80/5.61 | % 21.80/5.61 | Equations (647) can reduce 651 to: % 21.80/5.61 | (251) $false % 21.80/5.61 | % 21.80/5.61 |-The branch is then unsatisfiable % 21.80/5.61 |-Branch two: % 21.80/5.61 | (651) ~ (all_0_60_60 = e1) % 21.80/5.61 | (1119) all_0_60_60 = e0 % 21.80/5.61 | % 21.80/5.61 | Equations (1119) can reduce 666 to: % 21.80/5.61 | (274) ~ (e2 = e0) % 21.80/5.61 | % 21.80/5.61 | Simplifying 274 yields: % 21.80/5.61 | (48) ~ (e2 = e0) % 21.80/5.61 | % 21.80/5.61 +-Applying beta-rule and splitting (709), into two cases. % 21.80/5.61 |-Branch one: % 21.80/5.61 | (278) all_0_60_60 = e2 % 21.80/5.61 | % 21.80/5.61 | Combining equations (278,1119) yields a new equation: % 21.80/5.61 | (354) e2 = e0 % 21.80/5.61 | % 21.80/5.61 | Simplifying 354 yields: % 21.80/5.61 | (355) e2 = e0 % 21.80/5.61 | % 21.80/5.61 | Equations (355) can reduce 48 to: % 21.80/5.61 | (251) $false % 21.80/5.61 | % 21.80/5.61 |-The branch is then unsatisfiable % 21.80/5.61 |-Branch two: % 21.80/5.61 | (666) ~ (all_0_60_60 = e2) % 21.80/5.61 | (729) all_0_68_68 = e2 % 21.80/5.61 | % 21.80/5.61 | Combining equations (292,729) yields a new equation: % 21.80/5.61 | (1620) e3 = e2 % 21.80/5.61 | % 21.80/5.61 | Simplifying 1620 yields: % 21.80/5.61 | (376) e3 = e2 % 21.80/5.61 | % 21.80/5.61 | Equations (376) can reduce 128 to: % 21.80/5.61 | (251) $false % 21.80/5.61 | % 21.80/5.61 |-The branch is then unsatisfiable % 21.80/5.61 |-Branch two: % 21.80/5.61 | (645) ~ (all_0_68_68 = e3) % 21.80/5.61 | (1050) all_0_70_70 = e3 | all_0_71_71 = e3 % 21.80/5.61 | % 21.80/5.61 +-Applying beta-rule and splitting (1050), into two cases. % 21.80/5.61 |-Branch one: % 21.80/5.61 | (597) all_0_70_70 = e3 % 21.80/5.61 | % 21.80/5.61 | Equations (597) can reduce 397 to: % 21.80/5.61 | (251) $false % 21.80/5.61 | % 21.80/5.61 |-The branch is then unsatisfiable % 21.80/5.61 |-Branch two: % 21.80/5.61 | (397) ~ (all_0_70_70 = e3) % 21.80/5.61 | (558) all_0_71_71 = e3 % 21.80/5.61 | % 21.80/5.61 | Combining equations (469,558) yields a new equation: % 21.80/5.61 | (391) e3 = e0 % 21.80/5.61 | % 21.80/5.61 | Equations (391) can reduce 36 to: % 21.80/5.61 | (251) $false % 21.80/5.61 | % 21.80/5.61 |-The branch is then unsatisfiable % 21.80/5.61 |-Branch two: % 21.80/5.61 | (621) ~ (all_0_58_58 = e3) % 21.80/5.61 | (375) all_0_59_59 = e3 % 21.80/5.61 | % 21.80/5.61 | Combining equations (364,375) yields a new equation: % 21.80/5.61 | (376) e3 = e2 % 21.80/5.61 | % 21.80/5.61 | Equations (376) can reduce 128 to: % 21.80/5.61 | (251) $false % 21.80/5.61 | % 21.80/5.61 |-The branch is then unsatisfiable % 21.80/5.61 |-Branch two: % 21.80/5.61 | (629) ~ (all_0_67_67 = e3) % 21.80/5.61 | (558) all_0_71_71 = e3 % 21.80/5.61 | % 21.80/5.61 | Combining equations (558,469) yields a new equation: % 21.80/5.61 | (390) e3 = e0 % 21.80/5.61 | % 21.80/5.61 | Simplifying 390 yields: % 21.80/5.61 | (391) e3 = e0 % 21.80/5.61 | % 21.80/5.61 | Equations (391) can reduce 36 to: % 21.80/5.61 | (251) $false % 21.80/5.61 | % 21.80/5.61 |-The branch is then unsatisfiable % 21.80/5.61 |-Branch two: % 21.80/5.61 | (1029) ~ (all_0_59_59 = e2) % 21.80/5.61 | (1077) all_0_59_59 = e0 % 21.80/5.61 | % 21.80/5.61 | Equations (1077) can reduce 265 to: % 21.80/5.61 | (251) $false % 21.80/5.61 | % 21.80/5.61 |-The branch is then unsatisfiable % 21.80/5.61 |-Branch two: % 21.80/5.61 | (246) ~ (all_0_61_61 = e1) % 21.80/5.61 | (619) all_0_65_65 = e1 % 21.80/5.61 | % 21.80/5.61 | Equations (619) can reduce 308 to: % 21.80/5.61 | (251) $false % 21.80/5.61 | % 21.80/5.61 |-The branch is then unsatisfiable % 21.80/5.61 |-Branch two: % 21.80/5.61 | (341) all_0_61_61 = e2 % 21.80/5.61 | (542) ~ (all_0_66_66 = e3) % 21.80/5.61 | % 21.80/5.61 | Equations (341) can reduce 126 to: % 21.80/5.61 | (339) ~ (all_0_57_57 = e2) % 21.80/5.61 | % 21.80/5.61 | Equations (341) can reduce 189 to: % 21.80/5.61 | (281) ~ (all_0_62_62 = e2) % 21.80/5.61 | % 21.80/5.61 | Simplifying 281 yields: % 21.80/5.61 | (217) ~ (all_0_62_62 = e2) % 21.80/5.61 | % 21.80/5.61 | Equations (341) can reduce 176 to: % 21.80/5.61 | (1162) ~ (all_0_65_65 = e2) % 21.80/5.61 | % 21.80/5.61 | Simplifying 1162 yields: % 21.80/5.61 | (101) ~ (all_0_65_65 = e2) % 21.80/5.61 | % 21.80/5.61 | Equations (341) can reduce 104 to: % 21.80/5.61 | (730) ~ (all_0_69_69 = e2) % 21.80/5.61 | % 21.80/5.61 | Simplifying 730 yields: % 21.80/5.61 | (731) ~ (all_0_69_69 = e2) % 21.80/5.61 | % 21.80/5.61 | Equations (341) can reduce 87 to: % 21.80/5.61 | (345) ~ (e3 = e2) % 21.80/5.61 | % 21.80/5.61 | Simplifying 345 yields: % 21.80/5.61 | (128) ~ (e3 = e2) % 21.80/5.61 | % 21.80/5.61 +-Applying beta-rule and splitting (127), into two cases. % 21.80/5.61 |-Branch one: % 21.80/5.61 | (247) ~ (all_0_56_56 = e2) % 21.80/5.61 | % 21.80/5.61 +-Applying beta-rule and splitting (177), into two cases. % 21.80/5.61 |-Branch one: % 21.80/5.61 | (254) all_0_56_56 = e2 % 21.80/5.61 | % 21.80/5.61 | Equations (254) can reduce 247 to: % 21.80/5.61 | (251) $false % 21.80/5.61 | % 21.80/5.61 |-The branch is then unsatisfiable % 21.80/5.61 |-Branch two: % 21.80/5.61 | (247) ~ (all_0_56_56 = e2) % 21.80/5.61 | (358) all_0_57_57 = e2 | all_0_59_59 = e2 % 21.80/5.61 | % 21.80/5.61 +-Applying beta-rule and splitting (358), into two cases. % 21.80/5.61 |-Branch one: % 21.80/5.61 | (335) all_0_57_57 = e2 % 21.80/5.61 | % 21.80/5.61 | Equations (335) can reduce 339 to: % 21.80/5.61 | (251) $false % 21.80/5.61 | % 21.80/5.61 |-The branch is then unsatisfiable % 21.80/5.61 |-Branch two: % 21.80/5.61 | (339) ~ (all_0_57_57 = e2) % 21.80/5.61 | (364) all_0_59_59 = e2 % 21.80/5.61 | % 21.80/5.61 | Equations (364) can reduce 233 to: % 21.80/5.61 | (339) ~ (all_0_57_57 = e2) % 21.80/5.61 | % 21.80/5.61 | Equations (364) can reduce 229 to: % 21.80/5.61 | (77) ~ (all_0_58_58 = e2) % 21.80/5.61 | % 21.80/5.61 | Equations (364) can reduce 96 to: % 21.80/5.61 | (365) ~ (all_0_63_63 = e2) % 21.80/5.61 | % 21.80/5.61 | Simplifying 365 yields: % 21.80/5.61 | (366) ~ (all_0_63_63 = e2) % 21.80/5.61 | % 21.80/5.61 | Equations (364) can reduce 22 to: % 21.80/5.61 | (367) ~ (all_0_67_67 = e2) % 21.80/5.61 | % 21.80/5.61 | Simplifying 367 yields: % 21.80/5.61 | (139) ~ (all_0_67_67 = e2) % 21.80/5.61 | % 21.80/5.61 | Equations (364) can reduce 28 to: % 21.80/5.61 | (369) ~ (all_0_71_71 = e2) % 21.80/5.61 | % 21.80/5.61 | Simplifying 369 yields: % 21.80/5.61 | (370) ~ (all_0_71_71 = e2) % 21.80/5.61 | % 21.80/5.61 | From (364) and (236) follows: % 21.80/5.61 | (1562) op(e4, e2) = all_0_50_50 % 21.80/5.61 | % 21.80/5.61 | From (364) and (25) follows: % 21.80/5.61 | (1563) op(e4, e1) = e2 % 21.80/5.61 | % 21.80/5.61 | From (364) and (219) follows: % 21.80/5.61 | (374) op(e1, e2) = all_0_49_49 % 21.80/5.61 | % 21.80/5.61 +-Applying beta-rule and splitting (112), into two cases. % 21.80/5.61 |-Branch one: % 21.80/5.61 | (729) all_0_68_68 = e2 % 21.80/5.61 | % 21.80/5.61 | Equations (729) can reduce 51 to: % 21.80/5.61 | (247) ~ (all_0_56_56 = e2) % 21.80/5.61 | % 21.80/5.61 | Equations (729) can reduce 83 to: % 21.80/5.61 | (666) ~ (all_0_60_60 = e2) % 21.80/5.61 | % 21.80/5.61 | Equations (729) can reduce 155 to: % 21.80/5.61 | (198) ~ (all_0_64_64 = e2) % 21.80/5.61 | % 21.80/5.61 | Equations (729) can reduce 194 to: % 21.80/5.61 | (730) ~ (all_0_69_69 = e2) % 21.80/5.61 | % 21.80/5.61 | Simplifying 730 yields: % 21.80/5.61 | (731) ~ (all_0_69_69 = e2) % 21.80/5.61 | % 21.80/5.61 | Equations (729) can reduce 205 to: % 21.80/5.61 | (1283) ~ (all_0_70_70 = e2) % 21.80/5.61 | % 21.80/5.61 | Simplifying 1283 yields: % 21.80/5.61 | (7) ~ (all_0_70_70 = e2) % 21.80/5.61 | % 21.80/5.61 | Equations (729) can reduce 14 to: % 21.80/5.61 | (371) ~ (e4 = e2) % 21.80/5.61 | % 21.80/5.61 | Simplifying 371 yields: % 21.80/5.61 | (49) ~ (e4 = e2) % 21.80/5.61 | % 21.80/5.61 | From (729) and (190) follows: % 21.80/5.61 | (733) op(e4, e2) = all_0_33_33 % 21.80/5.61 | % 21.80/5.61 | From (729) and (223) follows: % 21.80/5.61 | (734) op(e1, e2) = all_0_34_34 % 21.80/5.61 | % 21.80/5.61 | Instantiating formula (61) with e4, e2, all_0_33_33, all_0_58_58 and discharging atoms op(e4, e2) = all_0_33_33, op(e4, e2) = all_0_58_58, yields: % 21.80/5.61 | (5673) all_0_33_33 = all_0_58_58 % 21.80/5.61 | % 21.80/5.61 | Instantiating formula (61) with e4, e2, all_0_50_50, all_0_33_33 and discharging atoms op(e4, e2) = all_0_33_33, op(e4, e2) = all_0_50_50, yields: % 21.80/5.61 | (5674) all_0_33_33 = all_0_50_50 % 21.80/5.61 | % 21.80/5.61 | Instantiating formula (61) with e1, e2, all_0_34_34, all_0_70_70 and discharging atoms op(e1, e2) = all_0_34_34, op(e1, e2) = all_0_70_70, yields: % 21.80/5.61 | (5675) all_0_34_34 = all_0_70_70 % 21.80/5.61 | % 21.80/5.61 | Instantiating formula (61) with e1, e2, all_0_49_49, all_0_34_34 and discharging atoms op(e1, e2) = all_0_34_34, op(e1, e2) = all_0_49_49, yields: % 21.80/5.61 | (5676) all_0_34_34 = all_0_49_49 % 21.80/5.61 | % 21.80/5.61 | Combining equations (5674,5673) yields a new equation: % 21.80/5.61 | (5677) all_0_50_50 = all_0_58_58 % 21.80/5.61 | % 21.80/5.61 | Simplifying 5677 yields: % 21.80/5.61 | (5678) all_0_50_50 = all_0_58_58 % 21.80/5.61 | % 21.80/5.61 | Combining equations (5676,5675) yields a new equation: % 21.80/5.61 | (5679) all_0_49_49 = all_0_70_70 % 21.80/5.61 | % 21.80/5.61 | Simplifying 5679 yields: % 21.80/5.61 | (459) all_0_49_49 = all_0_70_70 % 21.80/5.61 | % 21.80/5.61 | From (5678) and (1562) follows: % 21.80/5.61 | (160) op(e4, e2) = all_0_58_58 % 21.80/5.61 | % 21.80/5.61 | From (459) and (374) follows: % 21.80/5.61 | (81) op(e1, e2) = all_0_70_70 % 21.80/5.61 | % 21.80/5.61 +-Applying beta-rule and splitting (56), into two cases. % 21.80/5.61 |-Branch one: % 21.80/5.61 | (245) ~ (all_0_56_56 = e1) % 21.80/5.61 | % 21.80/5.61 +-Applying beta-rule and splitting (172), into two cases. % 21.80/5.61 |-Branch one: % 21.80/5.61 | (258) all_0_56_56 = e1 % 21.80/5.61 | % 21.80/5.61 | Equations (258) can reduce 245 to: % 21.80/5.61 | (251) $false % 21.80/5.61 | % 21.80/5.61 |-The branch is then unsatisfiable % 21.80/5.61 |-Branch two: % 21.80/5.61 | (245) ~ (all_0_56_56 = e1) % 21.80/5.61 | (291) all_0_60_60 = e1 | all_0_64_64 = e1 % 21.80/5.61 | % 21.80/5.61 +-Applying beta-rule and splitting (74), into two cases. % 21.80/5.61 |-Branch one: % 21.80/5.61 | (509) all_0_61_61 = e4 % 21.80/5.61 | % 21.80/5.61 | Combining equations (341,509) yields a new equation: % 21.80/5.61 | (480) e4 = e2 % 21.80/5.61 | % 21.80/5.61 | Equations (480) can reduce 49 to: % 21.80/5.61 | (251) $false % 21.80/5.61 | % 21.80/5.61 |-The branch is then unsatisfiable % 21.80/5.61 |-Branch two: % 21.80/5.61 | (512) ~ (all_0_61_61 = e4) % 21.80/5.62 | (2758) all_0_62_62 = e4 | all_0_63_63 = e4 % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (27), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (250) all_0_56_56 = e3 % 21.80/5.62 | % 21.80/5.62 | Equations (250) can reduce 50 to: % 21.80/5.62 | (1123) ~ (all_0_57_57 = e3) % 21.80/5.62 | % 21.80/5.62 | Simplifying 1123 yields: % 21.80/5.62 | (124) ~ (all_0_57_57 = e3) % 21.80/5.62 | % 21.80/5.62 | Equations (250) can reduce 114 to: % 21.80/5.62 | (5696) ~ (all_0_60_60 = e3) % 21.80/5.62 | % 21.80/5.62 | Simplifying 5696 yields: % 21.80/5.62 | (46) ~ (all_0_60_60 = e3) % 21.80/5.62 | % 21.80/5.62 | Equations (250) can reduce 122 to: % 21.80/5.62 | (1129) ~ (all_0_64_64 = e3) % 21.80/5.62 | % 21.80/5.62 | Simplifying 1129 yields: % 21.80/5.62 | (293) ~ (all_0_64_64 = e3) % 21.80/5.62 | % 21.80/5.62 | Equations (250) can reduce 92 to: % 21.80/5.62 | (774) ~ (e4 = e3) % 21.80/5.62 | % 21.80/5.62 | Simplifying 774 yields: % 21.80/5.62 | (130) ~ (e4 = e3) % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (170), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (302) all_0_64_64 = e3 % 21.80/5.62 | % 21.80/5.62 | Equations (302) can reduce 293 to: % 21.80/5.62 | (251) $false % 21.80/5.62 | % 21.80/5.62 |-The branch is then unsatisfiable % 21.80/5.62 |-Branch two: % 21.80/5.62 | (293) ~ (all_0_64_64 = e3) % 21.80/5.62 | (1266) all_0_66_66 = e3 | all_0_67_67 = e3 % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (1266), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (538) all_0_66_66 = e3 % 21.80/5.62 | % 21.80/5.62 | Equations (538) can reduce 542 to: % 21.80/5.62 | (251) $false % 21.80/5.62 | % 21.80/5.62 |-The branch is then unsatisfiable % 21.80/5.62 |-Branch two: % 21.80/5.62 | (542) ~ (all_0_66_66 = e3) % 21.80/5.62 | (380) all_0_67_67 = e3 % 21.80/5.62 | % 21.80/5.62 | Equations (380) can reduce 116 to: % 21.80/5.62 | (220) ~ (all_0_63_63 = e3) % 21.80/5.62 | % 21.80/5.62 | Equations (380) can reduce 26 to: % 21.80/5.62 | (296) ~ (all_0_71_71 = e3) % 21.80/5.62 | % 21.80/5.62 | Simplifying 296 yields: % 21.80/5.62 | (297) ~ (all_0_71_71 = e3) % 21.80/5.62 | % 21.80/5.62 | Equations (380) can reduce 139 to: % 21.80/5.62 | (128) ~ (e3 = e2) % 21.80/5.62 | % 21.80/5.62 | From (380) and (16) follows: % 21.80/5.62 | (388) op(e1, e3) = all_0_53_53 % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (33), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (292) all_0_68_68 = e3 % 21.80/5.62 | % 21.80/5.62 | Combining equations (292,729) yields a new equation: % 21.80/5.62 | (1620) e3 = e2 % 21.80/5.62 | % 21.80/5.62 | Simplifying 1620 yields: % 21.80/5.62 | (376) e3 = e2 % 21.80/5.62 | % 21.80/5.62 | Equations (376) can reduce 128 to: % 21.80/5.62 | (251) $false % 21.80/5.62 | % 21.80/5.62 |-The branch is then unsatisfiable % 21.80/5.62 |-Branch two: % 21.80/5.62 | (645) ~ (all_0_68_68 = e3) % 21.80/5.62 | (1050) all_0_70_70 = e3 | all_0_71_71 = e3 % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (1050), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (597) all_0_70_70 = e3 % 21.80/5.62 | % 21.80/5.62 | Equations (597) can reduce 224 to: % 21.80/5.62 | (621) ~ (all_0_58_58 = e3) % 21.80/5.62 | % 21.80/5.62 | From (597) and (241) follows: % 21.80/5.62 | (767) op(e1, e3) = all_0_48_48 % 21.80/5.62 | % 21.80/5.62 | From (597) and (81) follows: % 21.80/5.62 | (768) op(e1, e2) = e3 % 21.80/5.62 | % 21.80/5.62 | Instantiating formula (61) with e1, e3, all_0_48_48, all_0_69_69 and discharging atoms op(e1, e3) = all_0_48_48, op(e1, e3) = all_0_69_69, yields: % 21.80/5.62 | (817) all_0_48_48 = all_0_69_69 % 21.80/5.62 | % 21.80/5.62 | Instantiating formula (61) with e1, e3, all_0_53_53, all_0_48_48 and discharging atoms op(e1, e3) = all_0_48_48, op(e1, e3) = all_0_53_53, yields: % 21.80/5.62 | (2326) all_0_48_48 = all_0_53_53 % 21.80/5.62 | % 21.80/5.62 | Combining equations (817,2326) yields a new equation: % 21.80/5.62 | (5727) all_0_53_53 = all_0_69_69 % 21.80/5.62 | % 21.80/5.62 | From (5727) and (388) follows: % 21.80/5.62 | (9) op(e1, e3) = all_0_69_69 % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (201), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (335) all_0_57_57 = e2 % 21.80/5.62 | % 21.80/5.62 | Equations (335) can reduce 339 to: % 21.80/5.62 | (251) $false % 21.80/5.62 | % 21.80/5.62 |-The branch is then unsatisfiable % 21.80/5.62 |-Branch two: % 21.80/5.62 | (339) ~ (all_0_57_57 = e2) % 21.80/5.62 | (991) all_0_57_57 = e1 | all_0_57_57 = e0 % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (140), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (498) all_0_63_63 = e4 % 21.80/5.62 | % 21.80/5.62 | Equations (498) can reduce 76 to: % 21.80/5.62 | (4) ~ (all_0_60_60 = e4) % 21.80/5.62 | % 21.80/5.62 | Equations (498) can reduce 70 to: % 21.80/5.62 | (920) ~ (all_0_62_62 = e4) % 21.80/5.62 | % 21.80/5.62 | Equations (498) can reduce 220 to: % 21.80/5.62 | (130) ~ (e4 = e3) % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (42), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (845) all_0_62_62 = e4 % 21.80/5.62 | % 21.80/5.62 | Equations (845) can reduce 920 to: % 21.80/5.62 | (251) $false % 21.80/5.62 | % 21.80/5.62 |-The branch is then unsatisfiable % 21.80/5.62 |-Branch two: % 21.80/5.62 | (920) ~ (all_0_62_62 = e4) % 21.80/5.62 | (2296) all_0_66_66 = e4 | all_0_70_70 = e4 % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (2296), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (530) all_0_66_66 = e4 % 21.80/5.62 | % 21.80/5.62 | Equations (530) can reduce 135 to: % 21.80/5.62 | (920) ~ (all_0_62_62 = e4) % 21.80/5.62 | % 21.80/5.62 | Equations (530) can reduce 66 to: % 21.80/5.62 | (1246) ~ (all_0_65_65 = e4) % 21.80/5.62 | % 21.80/5.62 | Equations (530) can reduce 232 to: % 21.80/5.62 | (49) ~ (e4 = e2) % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (149), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (509) all_0_61_61 = e4 % 21.80/5.62 | % 21.80/5.62 | Combining equations (509,341) yields a new equation: % 21.80/5.62 | (479) e4 = e2 % 21.80/5.62 | % 21.80/5.62 | Simplifying 479 yields: % 21.80/5.62 | (480) e4 = e2 % 21.80/5.62 | % 21.80/5.62 | Equations (480) can reduce 49 to: % 21.80/5.62 | (251) $false % 21.80/5.62 | % 21.80/5.62 |-The branch is then unsatisfiable % 21.80/5.62 |-Branch two: % 21.80/5.62 | (512) ~ (all_0_61_61 = e4) % 21.80/5.62 | (1976) all_0_65_65 = e4 | all_0_69_69 = e4 % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (1976), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (1243) all_0_65_65 = e4 % 21.80/5.62 | % 21.80/5.62 | Equations (1243) can reduce 1246 to: % 21.80/5.62 | (251) $false % 21.80/5.62 | % 21.80/5.62 |-The branch is then unsatisfiable % 21.80/5.62 |-Branch two: % 21.80/5.62 | (1246) ~ (all_0_65_65 = e4) % 21.80/5.62 | (478) all_0_69_69 = e4 % 21.80/5.62 | % 21.80/5.62 | Equations (478) can reduce 73 to: % 21.80/5.62 | (1246) ~ (all_0_65_65 = e4) % 21.80/5.62 | % 21.80/5.62 | Equations (478) can reduce 731 to: % 21.80/5.62 | (49) ~ (e4 = e2) % 21.80/5.62 | % 21.80/5.62 | From (478) and (9) follows: % 21.80/5.62 | (5757) op(e1, e3) = e4 % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (145), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (1077) all_0_59_59 = e0 % 21.80/5.62 | % 21.80/5.62 | Combining equations (364,1077) yields a new equation: % 21.80/5.62 | (354) e2 = e0 % 21.80/5.62 | % 21.80/5.62 | Simplifying 354 yields: % 21.80/5.62 | (355) e2 = e0 % 21.80/5.62 | % 21.80/5.62 | Equations (355) can reduce 48 to: % 21.80/5.62 | (251) $false % 21.80/5.62 | % 21.80/5.62 |-The branch is then unsatisfiable % 21.80/5.62 |-Branch two: % 21.80/5.62 | (265) ~ (all_0_59_59 = e0) % 21.80/5.62 | (1786) all_0_63_63 = e0 | all_0_67_67 = e0 | all_0_71_71 = e0 % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (1786), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (576) all_0_63_63 = e0 % 21.80/5.62 | % 21.80/5.62 | Combining equations (498,576) yields a new equation: % 21.80/5.62 | (531) e4 = e0 % 21.80/5.62 | % 21.80/5.62 | Simplifying 531 yields: % 21.80/5.62 | (510) e4 = e0 % 21.80/5.62 | % 21.80/5.62 | Equations (510) can reduce 17 to: % 21.80/5.62 | (251) $false % 21.80/5.62 | % 21.80/5.62 |-The branch is then unsatisfiable % 21.80/5.62 |-Branch two: % 21.80/5.62 | (470) ~ (all_0_63_63 = e0) % 21.80/5.62 | (1790) all_0_67_67 = e0 | all_0_71_71 = e0 % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (1790), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (1458) all_0_67_67 = e0 % 21.80/5.62 | % 21.80/5.62 | Combining equations (380,1458) yields a new equation: % 21.80/5.62 | (390) e3 = e0 % 21.80/5.62 | % 21.80/5.62 | Simplifying 390 yields: % 21.80/5.62 | (391) e3 = e0 % 21.80/5.62 | % 21.80/5.62 | Equations (391) can reduce 36 to: % 21.80/5.62 | (251) $false % 21.80/5.62 | % 21.80/5.62 |-The branch is then unsatisfiable % 21.80/5.62 |-Branch two: % 21.80/5.62 | (1182) ~ (all_0_67_67 = e0) % 21.80/5.62 | (469) all_0_71_71 = e0 % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (53), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (845) all_0_62_62 = e4 % 21.80/5.62 | % 21.80/5.62 | Equations (845) can reduce 920 to: % 21.80/5.62 | (251) $false % 21.80/5.62 | % 21.80/5.62 |-The branch is then unsatisfiable % 21.80/5.62 |-Branch two: % 21.80/5.62 | (920) ~ (all_0_62_62 = e4) % 21.80/5.62 | (921) all_0_62_62 = e1 | all_0_62_62 = e0 % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (227), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (1243) all_0_65_65 = e4 % 21.80/5.62 | % 21.80/5.62 | Equations (1243) can reduce 1246 to: % 21.80/5.62 | (251) $false % 21.80/5.62 | % 21.80/5.62 |-The branch is then unsatisfiable % 21.80/5.62 |-Branch two: % 21.80/5.62 | (1246) ~ (all_0_65_65 = e4) % 21.80/5.62 | (1802) all_0_65_65 = e1 | all_0_65_65 = e0 % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (167), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (395) all_0_58_58 = e3 % 21.80/5.62 | % 21.80/5.62 | Equations (395) can reduce 621 to: % 21.80/5.62 | (251) $false % 21.80/5.62 | % 21.80/5.62 |-The branch is then unsatisfiable % 21.80/5.62 |-Branch two: % 21.80/5.62 | (621) ~ (all_0_58_58 = e3) % 21.80/5.62 | (622) all_0_58_58 = e1 | all_0_58_58 = e0 % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (210), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (323) all_0_58_58 = e1 % 21.80/5.62 | % 21.80/5.62 | Equations (323) can reduce 71 to: % 21.80/5.62 | (635) ~ (all_0_57_57 = e1) % 21.80/5.62 | % 21.80/5.62 | Equations (323) can reduce 180 to: % 21.80/5.62 | (712) ~ (all_0_62_62 = e1) % 21.80/5.62 | % 21.80/5.62 | Simplifying 712 yields: % 21.80/5.62 | (632) ~ (all_0_62_62 = e1) % 21.80/5.62 | % 21.80/5.62 | Equations (323) can reduce 77 to: % 21.80/5.62 | (328) ~ (e2 = e1) % 21.80/5.62 | % 21.80/5.62 | Simplifying 328 yields: % 21.80/5.62 | (184) ~ (e2 = e1) % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (991), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (313) all_0_57_57 = e1 % 21.80/5.62 | % 21.80/5.62 | Equations (313) can reduce 635 to: % 21.80/5.62 | (251) $false % 21.80/5.62 | % 21.80/5.62 |-The branch is then unsatisfiable % 21.80/5.62 |-Branch two: % 21.80/5.62 | (635) ~ (all_0_57_57 = e1) % 21.80/5.62 | (1840) all_0_57_57 = e0 % 21.80/5.62 | % 21.80/5.62 | Equations (1840) can reduce 124 to: % 21.80/5.62 | (272) ~ (e3 = e0) % 21.80/5.62 | % 21.80/5.62 | Simplifying 272 yields: % 21.80/5.62 | (36) ~ (e3 = e0) % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (5), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (647) all_0_60_60 = e1 % 21.80/5.62 | % 21.80/5.62 | Equations (647) can reduce 168 to: % 21.80/5.62 | (712) ~ (all_0_62_62 = e1) % 21.80/5.62 | % 21.80/5.62 | Simplifying 712 yields: % 21.80/5.62 | (632) ~ (all_0_62_62 = e1) % 21.80/5.62 | % 21.80/5.62 | Equations (647) can reduce 218 to: % 21.80/5.62 | (673) ~ (all_0_64_64 = e1) % 21.80/5.62 | % 21.80/5.62 | Simplifying 673 yields: % 21.80/5.62 | (642) ~ (all_0_64_64 = e1) % 21.80/5.62 | % 21.80/5.62 | Equations (647) can reduce 4 to: % 21.80/5.62 | (2010) ~ (e4 = e1) % 21.80/5.62 | % 21.80/5.62 | Simplifying 2010 yields: % 21.80/5.62 | (193) ~ (e4 = e1) % 21.80/5.62 | % 21.80/5.62 | Equations (647) can reduce 46 to: % 21.80/5.62 | (736) ~ (e3 = e1) % 21.80/5.62 | % 21.80/5.62 | Simplifying 736 yields: % 21.80/5.62 | (15) ~ (e3 = e1) % 21.80/5.62 | % 21.80/5.62 | Equations (647) can reduce 666 to: % 21.80/5.62 | (328) ~ (e2 = e1) % 21.80/5.62 | % 21.80/5.62 | Simplifying 328 yields: % 21.80/5.62 | (184) ~ (e2 = e1) % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (111), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (643) all_0_64_64 = e0 % 21.80/5.62 | % 21.80/5.62 | Equations (643) can reduce 642 to: % 21.80/5.62 | (276) ~ (e1 = e0) % 21.80/5.62 | % 21.80/5.62 | Simplifying 276 yields: % 21.80/5.62 | (204) ~ (e1 = e0) % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (230), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (313) all_0_57_57 = e1 % 21.80/5.62 | % 21.80/5.62 | Combining equations (313,1840) yields a new equation: % 21.80/5.62 | (287) e1 = e0 % 21.80/5.62 | % 21.80/5.62 | Simplifying 287 yields: % 21.80/5.62 | (288) e1 = e0 % 21.80/5.62 | % 21.80/5.62 | Equations (288) can reduce 204 to: % 21.80/5.62 | (251) $false % 21.80/5.62 | % 21.80/5.62 |-The branch is then unsatisfiable % 21.80/5.62 |-Branch two: % 21.80/5.62 | (635) ~ (all_0_57_57 = e1) % 21.80/5.62 | (636) all_0_61_61 = e1 | all_0_65_65 = e1 % 21.80/5.62 | % 21.80/5.62 | Equations (1840) can reduce 635 to: % 21.80/5.62 | (276) ~ (e1 = e0) % 21.80/5.62 | % 21.80/5.62 | Simplifying 276 yields: % 21.80/5.62 | (204) ~ (e1 = e0) % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (148), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (1532) ~ (all_0_71_71 = e0) % 21.80/5.62 | % 21.80/5.62 | Equations (469) can reduce 1532 to: % 21.80/5.62 | (251) $false % 21.80/5.62 | % 21.80/5.62 |-The branch is then unsatisfiable % 21.80/5.62 |-Branch two: % 21.80/5.62 | (469) all_0_71_71 = e0 % 21.80/5.62 | (2585) all_0_56_56 = e1 | all_0_61_61 = e1 | all_0_66_66 = e1 | (all_0_57_57 = e1 & ~ (all_0_59_59 = e3)) | (all_0_58_58 = e1 & ~ (all_0_59_59 = e2)) | (all_0_60_60 = e1 & ~ (all_0_63_63 = e4)) | (all_0_62_62 = e1 & ~ (all_0_63_63 = e2)) | (all_0_64_64 = e1 & ~ (all_0_67_67 = e4)) | (all_0_65_65 = e1 & ~ (all_0_67_67 = e3)) % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (2585), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (258) all_0_56_56 = e1 % 21.80/5.62 | % 21.80/5.62 | Combining equations (258,250) yields a new equation: % 21.80/5.62 | (661) e3 = e1 % 21.80/5.62 | % 21.80/5.62 | Equations (661) can reduce 15 to: % 21.80/5.62 | (251) $false % 21.80/5.62 | % 21.80/5.62 |-The branch is then unsatisfiable % 21.80/5.62 |-Branch two: % 21.80/5.62 | (245) ~ (all_0_56_56 = e1) % 21.80/5.62 | (2599) all_0_61_61 = e1 | all_0_66_66 = e1 | (all_0_57_57 = e1 & ~ (all_0_59_59 = e3)) | (all_0_58_58 = e1 & ~ (all_0_59_59 = e2)) | (all_0_60_60 = e1 & ~ (all_0_63_63 = e4)) | (all_0_62_62 = e1 & ~ (all_0_63_63 = e2)) | (all_0_64_64 = e1 & ~ (all_0_67_67 = e4)) | (all_0_65_65 = e1 & ~ (all_0_67_67 = e3)) % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (2599), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (523) all_0_61_61 = e1 % 21.80/5.62 | % 21.80/5.62 | Combining equations (523,341) yields a new equation: % 21.80/5.62 | (337) e2 = e1 % 21.80/5.62 | % 21.80/5.62 | Equations (337) can reduce 184 to: % 21.80/5.62 | (251) $false % 21.80/5.62 | % 21.80/5.62 |-The branch is then unsatisfiable % 21.80/5.62 |-Branch two: % 21.80/5.62 | (246) ~ (all_0_61_61 = e1) % 21.80/5.62 | (2608) all_0_66_66 = e1 | (all_0_57_57 = e1 & ~ (all_0_59_59 = e3)) | (all_0_58_58 = e1 & ~ (all_0_59_59 = e2)) | (all_0_60_60 = e1 & ~ (all_0_63_63 = e4)) | (all_0_62_62 = e1 & ~ (all_0_63_63 = e2)) | (all_0_64_64 = e1 & ~ (all_0_67_67 = e4)) | (all_0_65_65 = e1 & ~ (all_0_67_67 = e3)) % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (2608), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (546) all_0_66_66 = e1 % 21.80/5.62 | % 21.80/5.62 | Combining equations (546,530) yields a new equation: % 21.80/5.62 | (1244) e4 = e1 % 21.80/5.62 | % 21.80/5.62 | Equations (1244) can reduce 193 to: % 21.80/5.62 | (251) $false % 21.80/5.62 | % 21.80/5.62 |-The branch is then unsatisfiable % 21.80/5.62 |-Branch two: % 21.80/5.62 | (248) ~ (all_0_66_66 = e1) % 21.80/5.62 | (2633) (all_0_57_57 = e1 & ~ (all_0_59_59 = e3)) | (all_0_58_58 = e1 & ~ (all_0_59_59 = e2)) | (all_0_60_60 = e1 & ~ (all_0_63_63 = e4)) | (all_0_62_62 = e1 & ~ (all_0_63_63 = e2)) | (all_0_64_64 = e1 & ~ (all_0_67_67 = e4)) | (all_0_65_65 = e1 & ~ (all_0_67_67 = e3)) % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (2633), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (2634) (all_0_57_57 = e1 & ~ (all_0_59_59 = e3)) | (all_0_58_58 = e1 & ~ (all_0_59_59 = e2)) | (all_0_60_60 = e1 & ~ (all_0_63_63 = e4)) | (all_0_62_62 = e1 & ~ (all_0_63_63 = e2)) | (all_0_64_64 = e1 & ~ (all_0_67_67 = e4)) % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (2634), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (2635) (all_0_57_57 = e1 & ~ (all_0_59_59 = e3)) | (all_0_58_58 = e1 & ~ (all_0_59_59 = e2)) | (all_0_60_60 = e1 & ~ (all_0_63_63 = e4)) | (all_0_62_62 = e1 & ~ (all_0_63_63 = e2)) % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (2635), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (2636) (all_0_57_57 = e1 & ~ (all_0_59_59 = e3)) | (all_0_58_58 = e1 & ~ (all_0_59_59 = e2)) | (all_0_60_60 = e1 & ~ (all_0_63_63 = e4)) % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (2636), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (2637) (all_0_57_57 = e1 & ~ (all_0_59_59 = e3)) | (all_0_58_58 = e1 & ~ (all_0_59_59 = e2)) % 21.80/5.62 | % 21.80/5.62 +-Applying beta-rule and splitting (2637), into two cases. % 21.80/5.62 |-Branch one: % 21.80/5.62 | (2638) all_0_57_57 = e1 & ~ (all_0_59_59 = e3) % 21.80/5.62 | % 21.80/5.62 | Applying alpha-rule on (2638) yields: % 21.80/5.62 | (313) all_0_57_57 = e1 % 21.80/5.62 | (378) ~ (all_0_59_59 = e3) % 21.80/5.62 | % 21.80/5.62 | Combining equations (313,1840) yields a new equation: % 21.80/5.62 | (287) e1 = e0 % 21.80/5.62 | % 21.80/5.62 | Simplifying 287 yields: % 21.80/5.62 | (288) e1 = e0 % 21.80/5.62 | % 21.80/5.63 | Equations (288) can reduce 204 to: % 21.80/5.63 | (251) $false % 21.80/5.63 | % 21.80/5.63 |-The branch is then unsatisfiable % 21.80/5.63 |-Branch two: % 21.80/5.63 | (2642) all_0_58_58 = e1 & ~ (all_0_59_59 = e2) % 21.80/5.63 | % 21.80/5.63 | Applying alpha-rule on (2642) yields: % 21.80/5.63 | (323) all_0_58_58 = e1 % 21.80/5.63 | (1029) ~ (all_0_59_59 = e2) % 21.80/5.63 | % 21.80/5.63 | Equations (364) can reduce 1029 to: % 21.80/5.63 | (251) $false % 21.80/5.63 | % 21.80/5.63 |-The branch is then unsatisfiable % 21.80/5.63 |-Branch two: % 21.80/5.63 | (2647) all_0_60_60 = e1 & ~ (all_0_63_63 = e4) % 21.80/5.63 | % 21.80/5.63 | Applying alpha-rule on (2647) yields: % 21.80/5.63 | (647) all_0_60_60 = e1 % 21.80/5.63 | (571) ~ (all_0_63_63 = e4) % 21.80/5.63 | % 21.80/5.63 | Equations (498) can reduce 571 to: % 21.80/5.63 | (251) $false % 21.80/5.63 | % 21.80/5.63 |-The branch is then unsatisfiable % 21.80/5.63 |-Branch two: % 21.80/5.63 | (2652) all_0_62_62 = e1 & ~ (all_0_63_63 = e2) % 21.80/5.63 | % 21.80/5.63 | Applying alpha-rule on (2652) yields: % 21.80/5.63 | (327) all_0_62_62 = e1 % 21.80/5.63 | (366) ~ (all_0_63_63 = e2) % 21.80/5.63 | % 21.80/5.63 | Equations (327) can reduce 632 to: % 21.80/5.63 | (251) $false % 21.80/5.63 | % 21.80/5.63 |-The branch is then unsatisfiable % 21.80/5.63 |-Branch two: % 21.80/5.63 | (2656) all_0_64_64 = e1 & ~ (all_0_67_67 = e4) % 21.80/5.63 | % 21.80/5.63 | Applying alpha-rule on (2656) yields: % 21.80/5.63 | (306) all_0_64_64 = e1 % 21.80/5.63 | (1581) ~ (all_0_67_67 = e4) % 21.80/5.63 | % 21.80/5.63 | Combining equations (643,306) yields a new equation: % 21.80/5.63 | (288) e1 = e0 % 21.80/5.63 | % 21.80/5.63 | Equations (288) can reduce 204 to: % 21.80/5.63 | (251) $false % 21.80/5.63 | % 21.80/5.63 |-The branch is then unsatisfiable % 21.80/5.63 |-Branch two: % 21.80/5.63 | (2660) all_0_65_65 = e1 & ~ (all_0_67_67 = e3) % 21.80/5.63 | % 21.80/5.63 | Applying alpha-rule on (2660) yields: % 21.80/5.63 | (619) all_0_65_65 = e1 % 21.80/5.63 | (629) ~ (all_0_67_67 = e3) % 21.80/5.63 | % 21.80/5.63 | Equations (380) can reduce 629 to: % 21.80/5.63 | (251) $false % 21.80/5.63 | % 21.80/5.63 |-The branch is then unsatisfiable % 21.80/5.63 |-Branch two: % 21.80/5.63 | (269) ~ (all_0_64_64 = e0) % 21.80/5.63 | (1447) all_0_65_65 = e0 | all_0_66_66 = e0 | all_0_67_67 = e0 % 21.80/5.63 | % 21.80/5.63 +-Applying beta-rule and splitting (206), into two cases. % 21.80/5.63 |-Branch one: % 21.80/5.63 | (261) all_0_56_56 = e0 % 21.80/5.63 | % 21.80/5.63 | Combining equations (261,250) yields a new equation: % 21.80/5.63 | (391) e3 = e0 % 21.80/5.63 | % 21.80/5.63 | Equations (391) can reduce 36 to: % 21.80/5.63 | (251) $false % 21.80/5.63 | % 21.80/5.63 |-The branch is then unsatisfiable % 21.80/5.63 |-Branch two: % 21.80/5.63 | (1519) ~ (all_0_56_56 = e0) % 21.80/5.63 | (1520) all_0_60_60 = e0 | all_0_64_64 = e0 | all_0_68_68 = e0 % 21.80/5.63 | % 21.80/5.63 +-Applying beta-rule and splitting (921), into two cases. % 21.80/5.63 |-Branch one: % 21.80/5.63 | (327) all_0_62_62 = e1 % 21.80/5.63 | % 21.80/5.63 | Equations (327) can reduce 632 to: % 21.80/5.63 | (251) $false % 21.80/5.63 | % 21.80/5.63 |-The branch is then unsatisfiable % 21.80/5.63 |-Branch two: % 21.80/5.63 | (632) ~ (all_0_62_62 = e1) % 21.80/5.63 | (925) all_0_62_62 = e0 % 21.80/5.63 | % 21.80/5.63 | Equations (925) can reduce 217 to: % 21.80/5.63 | (274) ~ (e2 = e0) % 21.80/5.63 | % 21.80/5.63 | Simplifying 274 yields: % 21.80/5.63 | (48) ~ (e2 = e0) % 21.80/5.63 | % 21.80/5.63 | Equations (925) can reduce 632 to: % 21.80/5.63 | (276) ~ (e1 = e0) % 21.80/5.63 | % 21.80/5.63 | Simplifying 276 yields: % 21.80/5.63 | (204) ~ (e1 = e0) % 21.80/5.63 | % 21.80/5.63 +-Applying beta-rule and splitting (1520), into two cases. % 21.80/5.63 |-Branch one: % 21.80/5.63 | (1119) all_0_60_60 = e0 % 21.80/5.63 | % 21.80/5.63 | Combining equations (647,1119) yields a new equation: % 21.80/5.63 | (287) e1 = e0 % 21.80/5.63 | % 21.80/5.63 | Simplifying 287 yields: % 21.80/5.63 | (288) e1 = e0 % 21.80/5.63 | % 21.80/5.63 | Equations (288) can reduce 204 to: % 21.80/5.63 | (251) $false % 21.80/5.63 | % 21.80/5.63 |-The branch is then unsatisfiable % 21.80/5.63 |-Branch two: % 21.80/5.63 | (267) ~ (all_0_60_60 = e0) % 21.80/5.63 | (1524) all_0_64_64 = e0 | all_0_68_68 = e0 % 21.80/5.63 | % 21.80/5.63 +-Applying beta-rule and splitting (1524), into two cases. % 21.80/5.63 |-Branch one: % 21.80/5.63 | (643) all_0_64_64 = e0 % 21.80/5.63 | % 21.80/5.63 | Equations (643) can reduce 269 to: % 21.80/5.63 | (251) $false % 21.80/5.63 | % 21.80/5.63 |-The branch is then unsatisfiable % 21.80/5.63 |-Branch two: % 21.80/5.63 | (269) ~ (all_0_64_64 = e0) % 21.80/5.63 | (988) all_0_68_68 = e0 % 21.80/5.63 | % 21.80/5.63 | Combining equations (729,988) yields a new equation: % 21.80/5.63 | (354) e2 = e0 % 21.80/5.63 | % 21.80/5.63 | Simplifying 354 yields: % 21.80/5.63 | (355) e2 = e0 % 21.80/5.63 | % 21.80/5.63 | Equations (355) can reduce 48 to: % 21.80/5.63 | (251) $false % 21.80/5.63 | % 21.80/5.63 |-The branch is then unsatisfiable % 21.80/5.63 |-Branch two: % 21.80/5.63 | (651) ~ (all_0_60_60 = e1) % 21.80/5.63 | (1891) all_0_61_61 = e1 | all_0_62_62 = e1 % 21.80/5.63 | % 21.80/5.63 +-Applying beta-rule and splitting (1891), into two cases. % 21.80/5.63 |-Branch one: % 21.80/5.63 | (523) all_0_61_61 = e1 % 21.80/5.63 | % 21.80/5.63 | Combining equations (523,341) yields a new equation: % 21.80/5.63 | (337) e2 = e1 % 21.80/5.63 | % 21.80/5.63 | Equations (337) can reduce 184 to: % 21.80/5.63 | (251) $false % 21.80/5.63 | % 21.80/5.63 |-The branch is then unsatisfiable % 21.80/5.63 |-Branch two: % 21.80/5.63 | (246) ~ (all_0_61_61 = e1) % 21.80/5.63 | (327) all_0_62_62 = e1 % 21.80/5.63 | % 21.80/5.63 | Equations (327) can reduce 632 to: % 21.80/5.63 | (251) $false % 21.80/5.63 | % 21.80/5.63 |-The branch is then unsatisfiable % 21.80/5.63 |-Branch two: % 21.80/5.63 | (315) ~ (all_0_58_58 = e1) % 21.80/5.63 | (326) all_0_62_62 = e1 | all_0_66_66 = e1 % 21.80/5.63 | % 21.80/5.63 +-Applying beta-rule and splitting (622), into two cases. % 21.80/5.63 |-Branch one: % 21.80/5.63 | (323) all_0_58_58 = e1 % 21.80/5.63 | % 21.80/5.63 | Equations (323) can reduce 315 to: % 21.80/5.63 | (251) $false % 21.80/5.63 | % 21.80/5.63 |-The branch is then unsatisfiable % 21.80/5.63 |-Branch two: % 21.80/5.63 | (315) ~ (all_0_58_58 = e1) % 21.80/5.63 | (1060) all_0_58_58 = e0 % 21.80/5.63 | % 21.80/5.63 | Equations (1060) can reduce 71 to: % 21.80/5.63 | (1147) ~ (all_0_57_57 = e0) % 21.80/5.63 | % 21.80/5.63 | Equations (1060) can reduce 180 to: % 21.80/5.63 | (1149) ~ (all_0_62_62 = e0) % 21.80/5.63 | % 21.80/5.63 | Simplifying 1149 yields: % 21.80/5.63 | (838) ~ (all_0_62_62 = e0) % 21.80/5.63 | % 21.80/5.63 +-Applying beta-rule and splitting (991), into two cases. % 21.80/5.63 |-Branch one: % 21.80/5.63 | (313) all_0_57_57 = e1 % 21.80/5.63 | % 21.80/5.63 | Equations (313) can reduce 91 to: % 21.80/5.63 | (307) ~ (all_0_65_65 = e1) % 21.80/5.63 | % 21.80/5.63 | Simplifying 307 yields: % 21.80/5.63 | (308) ~ (all_0_65_65 = e1) % 21.80/5.63 | % 21.80/5.63 | From (313) and (134) follows: % 21.80/5.63 | (320) op(e1, e3) = all_0_2_2 % 21.80/5.63 | % 21.80/5.63 +-Applying beta-rule and splitting (166), into two cases. % 21.80/5.63 |-Branch one: % 21.80/5.63 | (306) all_0_64_64 = e1 % 21.80/5.63 | % 21.80/5.63 | Equations (306) can reduce 191 to: % 21.80/5.63 | (307) ~ (all_0_65_65 = e1) % 21.80/5.63 | % 21.80/5.63 | Simplifying 307 yields: % 21.80/5.63 | (308) ~ (all_0_65_65 = e1) % 21.80/5.63 | % 21.80/5.63 +-Applying beta-rule and splitting (68), into two cases. % 21.80/5.63 |-Branch one: % 21.80/5.63 | (278) all_0_60_60 = e2 % 21.80/5.63 | % 21.80/5.63 | Equations (278) can reduce 666 to: % 21.80/5.63 | (251) $false % 21.80/5.63 | % 21.80/5.63 |-The branch is then unsatisfiable % 21.80/5.63 |-Branch two: % 21.80/5.63 | (666) ~ (all_0_60_60 = e2) % 21.80/5.63 | (667) all_0_60_60 = e1 | all_0_60_60 = e0 % 21.80/5.63 | % 21.80/5.63 +-Applying beta-rule and splitting (921), into two cases. % 21.80/5.63 |-Branch one: % 21.80/5.63 | (327) all_0_62_62 = e1 % 21.80/5.63 | % 21.80/5.63 | Equations (327) can reduce 168 to: % 21.80/5.63 | (651) ~ (all_0_60_60 = e1) % 21.80/5.63 | % 21.80/5.63 | From (327) and (72) follows: % 21.80/5.63 | (330) op(e1, e3) = all_0_10_10 % 21.80/5.63 | % 21.80/5.63 | From (327) and (222) follows: % 21.80/5.63 | (331) op(e1, e2) = all_0_11_11 % 21.80/5.63 | % 21.80/5.63 +-Applying beta-rule and splitting (667), into two cases. % 21.80/5.63 |-Branch one: % 21.80/5.63 | (647) all_0_60_60 = e1 % 21.80/5.63 | % 21.80/5.63 | Equations (647) can reduce 651 to: % 21.80/5.63 | (251) $false % 21.80/5.63 | % 21.80/5.63 |-The branch is then unsatisfiable % 21.80/5.63 |-Branch two: % 21.80/5.63 | (651) ~ (all_0_60_60 = e1) % 21.80/5.63 | (1119) all_0_60_60 = e0 % 21.80/5.63 | % 21.80/5.63 | Equations (1119) can reduce 4 to: % 21.80/5.63 | (514) ~ (e4 = e0) % 21.80/5.63 | % 21.80/5.63 | Simplifying 514 yields: % 21.80/5.63 | (17) ~ (e4 = e0) % 21.80/5.63 | % 21.80/5.63 | Equations (1119) can reduce 46 to: % 21.80/5.63 | (272) ~ (e3 = e0) % 21.80/5.63 | % 21.80/5.63 | Simplifying 272 yields: % 21.80/5.63 | (36) ~ (e3 = e0) % 21.80/5.63 | % 21.80/5.63 | Equations (1119) can reduce 651 to: % 21.80/5.63 | (276) ~ (e1 = e0) % 21.80/5.63 | % 21.80/5.63 | Simplifying 276 yields: % 21.80/5.63 | (204) ~ (e1 = e0) % 21.80/5.63 | % 21.80/5.63 +-Applying beta-rule and splitting (111), into two cases. % 21.80/5.63 |-Branch one: % 21.80/5.63 | (643) all_0_64_64 = e0 % 21.80/5.63 | % 21.80/5.63 | Combining equations (306,643) yields a new equation: % 21.80/5.63 | (287) e1 = e0 % 21.80/5.63 | % 21.80/5.63 | Simplifying 287 yields: % 21.80/5.63 | (288) e1 = e0 % 21.80/5.63 | % 21.80/5.63 | Equations (288) can reduce 204 to: % 21.80/5.63 | (251) $false % 21.80/5.63 | % 21.80/5.63 |-The branch is then unsatisfiable % 21.80/5.63 |-Branch two: % 21.80/5.63 | (269) ~ (all_0_64_64 = e0) % 21.80/5.63 | (1447) all_0_65_65 = e0 | all_0_66_66 = e0 | all_0_67_67 = e0 % 21.80/5.63 | % 21.80/5.63 +-Applying beta-rule and splitting (1447), into two cases. % 21.80/5.63 |-Branch one: % 21.80/5.63 | (1448) all_0_65_65 = e0 % 21.80/5.63 | % 21.80/5.63 | Equations (1448) can reduce 308 to: % 21.80/5.63 | (276) ~ (e1 = e0) % 21.80/5.63 | % 21.80/5.63 | Simplifying 276 yields: % 21.80/5.63 | (204) ~ (e1 = e0) % 21.80/5.63 | % 21.80/5.63 | Instantiating formula (61) with e1, e3, all_0_2_2, e4 and discharging atoms op(e1, e3) = all_0_2_2, op(e1, e3) = e4, yields: % 21.80/5.63 | (5951) all_0_2_2 = e4 % 21.80/5.63 | % 21.80/5.63 | Instantiating formula (61) with e1, e3, all_0_10_10, all_0_2_2 and discharging atoms op(e1, e3) = all_0_2_2, op(e1, e3) = all_0_10_10, yields: % 21.80/5.63 | (417) all_0_2_2 = all_0_10_10 % 21.80/5.63 | % 21.80/5.63 | Instantiating formula (61) with e1, e2, all_0_11_11, e3 and discharging atoms op(e1, e2) = all_0_11_11, op(e1, e2) = e3, yields: % 21.80/5.63 | (5953) all_0_11_11 = e3 % 21.80/5.63 | % 21.80/5.63 | Combining equations (5951,417) yields a new equation: % 21.80/5.63 | (5954) all_0_10_10 = e4 % 21.80/5.63 | % 21.80/5.63 +-Applying beta-rule and splitting (161), into two cases. % 21.80/5.63 |-Branch one: % 21.80/5.63 | (5955) ~ (all_0_11_11 = e3) % 21.80/5.63 | % 21.80/5.63 | Equations (5953) can reduce 5955 to: % 21.80/5.63 | (251) $false % 21.80/5.63 | % 21.80/5.63 |-The branch is then unsatisfiable % 21.80/5.63 |-Branch two: % 21.80/5.63 | (5953) all_0_11_11 = e3 % 21.80/5.63 | (5958) all_0_10_10 = e2 | all_0_62_62 = all_0_65_65 % 21.80/5.63 | % 21.80/5.63 +-Applying beta-rule and splitting (5958), into two cases. % 21.80/5.63 |-Branch one: % 21.80/5.63 | (5959) all_0_10_10 = e2 % 21.80/5.63 | % 21.80/5.63 | Combining equations (5959,5954) yields a new equation: % 21.80/5.63 | (480) e4 = e2 % 21.80/5.63 | % 21.80/5.63 | Equations (480) can reduce 49 to: % 21.80/5.63 | (251) $false % 21.80/5.63 | % 21.80/5.63 |-The branch is then unsatisfiable % 21.80/5.63 |-Branch two: % 21.80/5.63 | (5962) ~ (all_0_10_10 = e2) % 21.80/5.63 | (5963) all_0_62_62 = all_0_65_65 % 21.80/5.63 | % 21.80/5.63 | Combining equations (327,5963) yields a new equation: % 21.80/5.63 | (619) all_0_65_65 = e1 % 21.80/5.63 | % 21.80/5.63 | Combining equations (1448,619) yields a new equation: % 21.80/5.63 | (288) e1 = e0 % 21.80/5.63 | % 21.80/5.63 | Equations (288) can reduce 204 to: % 21.80/5.63 | (251) $false % 21.80/5.63 | % 21.80/5.63 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (1154) ~ (all_0_65_65 = e0) % 21.80/5.64 | (1453) all_0_66_66 = e0 | all_0_67_67 = e0 % 21.80/5.64 | % 21.80/5.64 +-Applying beta-rule and splitting (1453), into two cases. % 21.80/5.64 |-Branch one: % 21.80/5.64 | (468) all_0_66_66 = e0 % 21.80/5.64 | % 21.80/5.64 | Combining equations (530,468) yields a new equation: % 21.80/5.64 | (531) e4 = e0 % 21.80/5.64 | % 21.80/5.64 | Simplifying 531 yields: % 21.80/5.64 | (510) e4 = e0 % 21.80/5.64 | % 21.80/5.64 | Equations (510) can reduce 17 to: % 21.80/5.64 | (251) $false % 21.80/5.64 | % 21.80/5.64 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (1457) ~ (all_0_66_66 = e0) % 21.80/5.64 | (1458) all_0_67_67 = e0 % 21.80/5.64 | % 21.80/5.64 | Combining equations (380,1458) yields a new equation: % 21.80/5.64 | (390) e3 = e0 % 21.80/5.64 | % 21.80/5.64 | Simplifying 390 yields: % 21.80/5.64 | (391) e3 = e0 % 21.80/5.64 | % 21.80/5.64 | Equations (391) can reduce 36 to: % 21.80/5.64 | (251) $false % 21.80/5.64 | % 21.80/5.64 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (632) ~ (all_0_62_62 = e1) % 21.80/5.64 | (925) all_0_62_62 = e0 % 21.80/5.64 | % 21.80/5.64 | Equations (925) can reduce 838 to: % 21.80/5.64 | (251) $false % 21.80/5.64 | % 21.80/5.64 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (642) ~ (all_0_64_64 = e1) % 21.80/5.64 | (703) all_0_65_65 = e1 | all_0_66_66 = e1 % 21.80/5.64 | % 21.80/5.64 +-Applying beta-rule and splitting (1802), into two cases. % 21.80/5.64 |-Branch one: % 21.80/5.64 | (619) all_0_65_65 = e1 % 21.80/5.64 | % 21.80/5.64 | Equations (619) can reduce 308 to: % 21.80/5.64 | (251) $false % 21.80/5.64 | % 21.80/5.64 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (308) ~ (all_0_65_65 = e1) % 21.80/5.64 | (1448) all_0_65_65 = e0 % 21.80/5.64 | % 21.80/5.64 +-Applying beta-rule and splitting (921), into two cases. % 21.80/5.64 |-Branch one: % 21.80/5.64 | (327) all_0_62_62 = e1 % 21.80/5.64 | % 21.80/5.64 | Equations (327) can reduce 920 to: % 21.80/5.64 | (2010) ~ (e4 = e1) % 21.80/5.64 | % 21.80/5.64 | Simplifying 2010 yields: % 21.80/5.64 | (193) ~ (e4 = e1) % 21.80/5.64 | % 21.80/5.64 | Equations (327) can reduce 838 to: % 21.80/5.64 | (204) ~ (e1 = e0) % 21.80/5.64 | % 21.80/5.64 +-Applying beta-rule and splitting (703), into two cases. % 21.80/5.64 |-Branch one: % 21.80/5.64 | (619) all_0_65_65 = e1 % 21.80/5.64 | % 21.80/5.64 | Combining equations (1448,619) yields a new equation: % 21.80/5.64 | (288) e1 = e0 % 21.80/5.64 | % 21.80/5.64 | Equations (288) can reduce 204 to: % 21.80/5.64 | (251) $false % 21.80/5.64 | % 21.80/5.64 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (308) ~ (all_0_65_65 = e1) % 21.80/5.64 | (546) all_0_66_66 = e1 % 21.80/5.64 | % 21.80/5.64 | Combining equations (546,530) yields a new equation: % 21.80/5.64 | (1244) e4 = e1 % 21.80/5.64 | % 21.80/5.64 | Equations (1244) can reduce 193 to: % 21.80/5.64 | (251) $false % 21.80/5.64 | % 21.80/5.64 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (632) ~ (all_0_62_62 = e1) % 21.80/5.64 | (925) all_0_62_62 = e0 % 21.80/5.64 | % 21.80/5.64 | Equations (925) can reduce 838 to: % 21.80/5.64 | (251) $false % 21.80/5.64 | % 21.80/5.64 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (635) ~ (all_0_57_57 = e1) % 21.80/5.64 | (1840) all_0_57_57 = e0 % 21.80/5.64 | % 21.80/5.64 | Equations (1840) can reduce 1147 to: % 21.80/5.64 | (251) $false % 21.80/5.64 | % 21.80/5.64 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (534) ~ (all_0_66_66 = e4) % 21.80/5.64 | (500) all_0_70_70 = e4 % 21.80/5.64 | % 21.80/5.64 | Combining equations (500,597) yields a new equation: % 21.80/5.64 | (1463) e4 = e3 % 21.80/5.64 | % 21.80/5.64 | Simplifying 1463 yields: % 21.80/5.64 | (935) e4 = e3 % 21.80/5.64 | % 21.80/5.64 | Equations (935) can reduce 130 to: % 21.80/5.64 | (251) $false % 21.80/5.64 | % 21.80/5.64 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (571) ~ (all_0_63_63 = e4) % 21.80/5.64 | (572) all_0_63_63 = e2 | all_0_63_63 = e0 % 21.80/5.64 | % 21.80/5.64 +-Applying beta-rule and splitting (38), into two cases. % 21.80/5.64 |-Branch one: % 21.80/5.64 | (498) all_0_63_63 = e4 % 21.80/5.64 | % 21.80/5.64 | Equations (498) can reduce 571 to: % 21.80/5.64 | (251) $false % 21.80/5.64 | % 21.80/5.64 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (571) ~ (all_0_63_63 = e4) % 21.80/5.64 | (2319) all_0_67_67 = e4 | all_0_71_71 = e4 % 21.80/5.64 | % 21.80/5.64 +-Applying beta-rule and splitting (572), into two cases. % 21.80/5.64 |-Branch one: % 21.80/5.64 | (573) all_0_63_63 = e2 % 21.80/5.64 | % 21.80/5.64 | Equations (573) can reduce 366 to: % 21.80/5.64 | (251) $false % 21.80/5.64 | % 21.80/5.64 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (366) ~ (all_0_63_63 = e2) % 21.80/5.64 | (576) all_0_63_63 = e0 % 21.80/5.64 | % 21.80/5.64 | Equations (576) can reduce 76 to: % 21.80/5.64 | (267) ~ (all_0_60_60 = e0) % 21.80/5.64 | % 21.80/5.64 | Equations (576) can reduce 226 to: % 21.80/5.64 | (1531) ~ (all_0_71_71 = e0) % 21.80/5.64 | % 21.80/5.64 | Simplifying 1531 yields: % 21.80/5.64 | (1532) ~ (all_0_71_71 = e0) % 21.80/5.64 | % 21.80/5.64 | Equations (576) can reduce 220 to: % 21.80/5.64 | (272) ~ (e3 = e0) % 21.80/5.64 | % 21.80/5.64 | Simplifying 272 yields: % 21.80/5.64 | (36) ~ (e3 = e0) % 21.80/5.64 | % 21.80/5.64 | Equations (576) can reduce 366 to: % 21.80/5.64 | (274) ~ (e2 = e0) % 21.80/5.64 | % 21.80/5.64 | Simplifying 274 yields: % 21.80/5.64 | (48) ~ (e2 = e0) % 21.80/5.64 | % 21.80/5.64 +-Applying beta-rule and splitting (206), into two cases. % 21.80/5.64 |-Branch one: % 21.80/5.64 | (261) all_0_56_56 = e0 % 21.80/5.64 | % 21.80/5.64 | Combining equations (250,261) yields a new equation: % 21.80/5.64 | (390) e3 = e0 % 21.80/5.64 | % 21.80/5.64 | Simplifying 390 yields: % 21.80/5.64 | (391) e3 = e0 % 21.80/5.64 | % 21.80/5.64 | Equations (391) can reduce 36 to: % 21.80/5.64 | (251) $false % 21.80/5.64 | % 21.80/5.64 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (1519) ~ (all_0_56_56 = e0) % 21.80/5.64 | (1520) all_0_60_60 = e0 | all_0_64_64 = e0 | all_0_68_68 = e0 % 21.80/5.64 | % 21.80/5.64 +-Applying beta-rule and splitting (1520), into two cases. % 21.80/5.64 |-Branch one: % 21.80/5.64 | (1119) all_0_60_60 = e0 % 21.80/5.64 | % 21.80/5.64 | Equations (1119) can reduce 267 to: % 21.80/5.64 | (251) $false % 21.80/5.64 | % 21.80/5.64 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (267) ~ (all_0_60_60 = e0) % 21.80/5.64 | (1524) all_0_64_64 = e0 | all_0_68_68 = e0 % 21.80/5.64 | % 21.80/5.64 +-Applying beta-rule and splitting (57), into two cases. % 21.80/5.64 |-Branch one: % 21.80/5.64 | (988) all_0_68_68 = e0 % 21.80/5.64 | % 21.80/5.64 | Combining equations (729,988) yields a new equation: % 21.80/5.64 | (354) e2 = e0 % 21.80/5.64 | % 21.80/5.64 | Simplifying 354 yields: % 21.80/5.64 | (355) e2 = e0 % 21.80/5.64 | % 21.80/5.64 | Equations (355) can reduce 48 to: % 21.80/5.64 | (251) $false % 21.80/5.64 | % 21.80/5.64 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (271) ~ (all_0_68_68 = e0) % 21.80/5.64 | (2049) all_0_69_69 = e0 | all_0_70_70 = e0 | all_0_71_71 = e0 % 21.80/5.64 | % 21.80/5.64 | Equations (729) can reduce 271 to: % 21.80/5.64 | (48) ~ (e2 = e0) % 21.80/5.64 | % 21.80/5.64 +-Applying beta-rule and splitting (2319), into two cases. % 21.80/5.64 |-Branch one: % 21.80/5.64 | (1251) all_0_67_67 = e4 % 21.80/5.64 | % 21.80/5.64 | Combining equations (1251,380) yields a new equation: % 21.80/5.64 | (1463) e4 = e3 % 21.80/5.64 | % 21.80/5.64 | Simplifying 1463 yields: % 21.80/5.64 | (935) e4 = e3 % 21.80/5.64 | % 21.80/5.64 | Equations (935) can reduce 130 to: % 21.80/5.64 | (251) $false % 21.80/5.64 | % 21.80/5.64 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (1581) ~ (all_0_67_67 = e4) % 21.80/5.64 | (552) all_0_71_71 = e4 % 21.80/5.64 | % 21.80/5.64 | Equations (552) can reduce 47 to: % 21.80/5.64 | (482) ~ (all_0_69_69 = e4) % 21.80/5.64 | % 21.80/5.64 | Equations (552) can reduce 200 to: % 21.80/5.64 | (193) ~ (e4 = e1) % 21.80/5.64 | % 21.80/5.64 | Equations (552) can reduce 1532 to: % 21.80/5.64 | (17) ~ (e4 = e0) % 21.80/5.64 | % 21.80/5.64 +-Applying beta-rule and splitting (2758), into two cases. % 21.80/5.64 |-Branch one: % 21.80/5.64 | (845) all_0_62_62 = e4 % 21.80/5.64 | % 21.80/5.64 | Equations (845) can reduce 180 to: % 21.80/5.64 | (214) ~ (all_0_58_58 = e4) % 21.80/5.64 | % 21.80/5.64 | Equations (845) can reduce 217 to: % 21.80/5.64 | (49) ~ (e4 = e2) % 21.80/5.64 | % 21.80/5.64 +-Applying beta-rule and splitting (5), into two cases. % 21.80/5.64 |-Branch one: % 21.80/5.64 | (647) all_0_60_60 = e1 % 21.80/5.64 | % 21.80/5.64 | Equations (647) can reduce 218 to: % 21.80/5.64 | (673) ~ (all_0_64_64 = e1) % 21.80/5.64 | % 21.80/5.64 | Simplifying 673 yields: % 21.80/5.64 | (642) ~ (all_0_64_64 = e1) % 21.80/5.64 | % 21.80/5.64 | Equations (647) can reduce 46 to: % 21.80/5.64 | (736) ~ (e3 = e1) % 21.80/5.64 | % 21.80/5.64 | Simplifying 736 yields: % 21.80/5.64 | (15) ~ (e3 = e1) % 21.80/5.64 | % 21.80/5.64 +-Applying beta-rule and splitting (149), into two cases. % 21.80/5.64 |-Branch one: % 21.80/5.64 | (509) all_0_61_61 = e4 % 21.80/5.64 | % 21.80/5.64 | Combining equations (341,509) yields a new equation: % 21.80/5.64 | (480) e4 = e2 % 21.80/5.64 | % 21.80/5.64 | Equations (480) can reduce 49 to: % 21.80/5.64 | (251) $false % 21.80/5.64 | % 21.80/5.64 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (512) ~ (all_0_61_61 = e4) % 21.80/5.64 | (1976) all_0_65_65 = e4 | all_0_69_69 = e4 % 21.80/5.64 | % 21.80/5.64 +-Applying beta-rule and splitting (1524), into two cases. % 21.80/5.64 |-Branch one: % 21.80/5.64 | (643) all_0_64_64 = e0 % 21.80/5.64 | % 21.80/5.64 | Equations (643) can reduce 642 to: % 21.80/5.64 | (276) ~ (e1 = e0) % 21.80/5.64 | % 21.80/5.64 | Simplifying 276 yields: % 21.80/5.64 | (204) ~ (e1 = e0) % 21.80/5.64 | % 21.80/5.64 +-Applying beta-rule and splitting (1976), into two cases. % 21.80/5.64 |-Branch one: % 21.80/5.64 | (1243) all_0_65_65 = e4 % 21.80/5.64 | % 21.80/5.64 | Equations (1243) can reduce 91 to: % 21.80/5.64 | (141) ~ (all_0_57_57 = e4) % 21.80/5.64 | % 21.80/5.64 +-Applying beta-rule and splitting (230), into two cases. % 21.80/5.64 |-Branch one: % 21.80/5.64 | (313) all_0_57_57 = e1 % 21.80/5.64 | % 21.80/5.64 | Equations (313) can reduce 141 to: % 21.80/5.64 | (2010) ~ (e4 = e1) % 21.80/5.64 | % 21.80/5.64 | Simplifying 2010 yields: % 21.80/5.64 | (193) ~ (e4 = e1) % 21.80/5.64 | % 21.80/5.64 +-Applying beta-rule and splitting (166), into two cases. % 21.80/5.64 |-Branch one: % 21.80/5.64 | (306) all_0_64_64 = e1 % 21.80/5.64 | % 21.80/5.64 | Combining equations (306,643) yields a new equation: % 21.80/5.64 | (287) e1 = e0 % 21.80/5.64 | % 21.80/5.64 | Simplifying 287 yields: % 21.80/5.64 | (288) e1 = e0 % 21.80/5.64 | % 21.80/5.64 | Equations (288) can reduce 204 to: % 21.80/5.64 | (251) $false % 21.80/5.64 | % 21.80/5.64 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (642) ~ (all_0_64_64 = e1) % 21.80/5.64 | (703) all_0_65_65 = e1 | all_0_66_66 = e1 % 21.80/5.64 | % 21.80/5.64 +-Applying beta-rule and splitting (703), into two cases. % 21.80/5.64 |-Branch one: % 21.80/5.64 | (619) all_0_65_65 = e1 % 21.80/5.64 | % 21.80/5.64 | Combining equations (619,1243) yields a new equation: % 21.80/5.64 | (1244) e4 = e1 % 21.80/5.64 | % 21.80/5.64 | Equations (1244) can reduce 193 to: % 21.80/5.64 | (251) $false % 21.80/5.64 | % 21.80/5.64 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (308) ~ (all_0_65_65 = e1) % 21.80/5.64 | (546) all_0_66_66 = e1 % 21.80/5.64 | % 21.80/5.64 +-Applying beta-rule and splitting (107), into two cases. % 21.80/5.64 |-Branch one: % 21.80/5.64 | (2384) ( ~ (all_0_56_56 = e3) & ~ (all_0_66_66 = e3) & ~ (all_0_71_71 = e3)) | ( ~ (all_0_56_56 = e2) & ~ (all_0_61_61 = e2) & ~ (all_0_71_71 = e2)) | ( ~ (all_0_56_56 = e1) & ~ (all_0_61_61 = e1) & ~ (all_0_66_66 = e1)) % 21.80/5.64 | % 21.80/5.64 +-Applying beta-rule and splitting (2384), into two cases. % 21.80/5.64 |-Branch one: % 21.80/5.64 | (2385) ( ~ (all_0_56_56 = e3) & ~ (all_0_66_66 = e3) & ~ (all_0_71_71 = e3)) | ( ~ (all_0_56_56 = e2) & ~ (all_0_61_61 = e2) & ~ (all_0_71_71 = e2)) % 21.80/5.64 | % 21.80/5.64 +-Applying beta-rule and splitting (2385), into two cases. % 21.80/5.64 |-Branch one: % 21.80/5.64 | (2386) ~ (all_0_56_56 = e3) & ~ (all_0_66_66 = e3) & ~ (all_0_71_71 = e3) % 21.80/5.64 | % 21.80/5.64 | Applying alpha-rule on (2386) yields: % 21.80/5.64 | (249) ~ (all_0_56_56 = e3) % 21.80/5.64 | (542) ~ (all_0_66_66 = e3) % 21.80/5.64 | (297) ~ (all_0_71_71 = e3) % 21.80/5.64 | % 21.80/5.64 | Equations (250) can reduce 249 to: % 21.80/5.64 | (251) $false % 21.80/5.64 | % 21.80/5.64 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (2391) ~ (all_0_56_56 = e2) & ~ (all_0_61_61 = e2) & ~ (all_0_71_71 = e2) % 21.80/5.64 | % 21.80/5.64 | Applying alpha-rule on (2391) yields: % 21.80/5.64 | (247) ~ (all_0_56_56 = e2) % 21.80/5.64 | (244) ~ (all_0_61_61 = e2) % 21.80/5.64 | (370) ~ (all_0_71_71 = e2) % 21.80/5.64 | % 21.80/5.64 | Equations (341) can reduce 244 to: % 21.80/5.64 | (251) $false % 21.80/5.64 | % 21.80/5.64 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (2396) ~ (all_0_56_56 = e1) & ~ (all_0_61_61 = e1) & ~ (all_0_66_66 = e1) % 21.80/5.64 | % 21.80/5.64 | Applying alpha-rule on (2396) yields: % 21.80/5.64 | (245) ~ (all_0_56_56 = e1) % 21.80/5.64 | (246) ~ (all_0_61_61 = e1) % 21.80/5.64 | (248) ~ (all_0_66_66 = e1) % 21.80/5.64 | % 21.80/5.64 | Equations (546) can reduce 248 to: % 21.80/5.64 | (251) $false % 21.80/5.64 | % 21.80/5.64 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (2401) ~ (all_0_61_61 = e4) & ~ (all_0_66_66 = e4) & ~ (all_0_71_71 = e4) % 21.80/5.64 | % 21.80/5.64 | Applying alpha-rule on (2401) yields: % 21.80/5.64 | (512) ~ (all_0_61_61 = e4) % 21.80/5.64 | (534) ~ (all_0_66_66 = e4) % 21.80/5.64 | (556) ~ (all_0_71_71 = e4) % 21.80/5.64 | % 21.80/5.64 | Equations (552) can reduce 556 to: % 21.80/5.64 | (251) $false % 21.80/5.64 | % 21.80/5.64 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (635) ~ (all_0_57_57 = e1) % 21.80/5.64 | (636) all_0_61_61 = e1 | all_0_65_65 = e1 % 21.80/5.64 | % 21.80/5.64 +-Applying beta-rule and splitting (144), into two cases. % 21.80/5.64 |-Branch one: % 21.80/5.64 | (258) all_0_56_56 = e1 % 21.80/5.64 | % 21.80/5.64 | Combining equations (258,250) yields a new equation: % 21.80/5.64 | (661) e3 = e1 % 21.80/5.64 | % 21.80/5.64 | Equations (661) can reduce 15 to: % 21.80/5.64 | (251) $false % 21.80/5.64 | % 21.80/5.64 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (245) ~ (all_0_56_56 = e1) % 21.80/5.64 | (1190) all_0_57_57 = e1 | all_0_58_58 = e1 % 21.80/5.64 | % 21.80/5.64 +-Applying beta-rule and splitting (1190), into two cases. % 21.80/5.64 |-Branch one: % 21.80/5.64 | (313) all_0_57_57 = e1 % 21.80/5.64 | % 21.80/5.64 | Equations (313) can reduce 635 to: % 21.80/5.64 | (251) $false % 21.80/5.64 | % 21.80/5.64 |-The branch is then unsatisfiable % 21.80/5.64 |-Branch two: % 21.80/5.64 | (635) ~ (all_0_57_57 = e1) % 21.80/5.64 | (323) all_0_58_58 = e1 % 21.80/5.64 | % 21.80/5.64 | Equations (323) can reduce 214 to: % 21.80/5.64 | (2010) ~ (e4 = e1) % 21.80/5.64 | % 21.80/5.64 | Simplifying 2010 yields: % 21.80/5.64 | (193) ~ (e4 = e1) % 21.80/5.64 | % 21.80/5.64 | Equations (323) can reduce 77 to: % 21.80/5.64 | (328) ~ (e2 = e1) % 21.80/5.64 | % 21.80/5.64 | Simplifying 328 yields: % 21.80/5.64 | (184) ~ (e2 = e1) % 21.80/5.64 | % 21.80/5.64 +-Applying beta-rule and splitting (636), into two cases. % 21.80/5.64 |-Branch one: % 21.80/5.64 | (523) all_0_61_61 = e1 % 21.80/5.64 | % 21.80/5.64 | Combining equations (341,523) yields a new equation: % 21.80/5.64 | (336) e2 = e1 % 21.80/5.64 | % 21.80/5.64 | Simplifying 336 yields: % 21.80/5.64 | (337) e2 = e1 % 21.80/5.64 | % 21.80/5.65 | Equations (337) can reduce 184 to: % 21.80/5.65 | (251) $false % 21.80/5.65 | % 21.80/5.65 |-The branch is then unsatisfiable % 21.80/5.65 |-Branch two: % 21.80/5.65 | (246) ~ (all_0_61_61 = e1) % 21.80/5.65 | (619) all_0_65_65 = e1 % 21.80/5.65 | % 21.80/5.65 | Combining equations (1243,619) yields a new equation: % 21.80/5.65 | (2018) e4 = e1 % 21.80/5.65 | % 21.80/5.65 | Simplifying 2018 yields: % 21.80/5.65 | (1244) e4 = e1 % 21.80/5.65 | % 21.80/5.65 | Equations (1244) can reduce 193 to: % 21.80/5.65 | (251) $false % 21.80/5.65 | % 21.80/5.65 |-The branch is then unsatisfiable % 21.80/5.65 |-Branch two: % 21.80/5.65 | (1246) ~ (all_0_65_65 = e4) % 21.80/5.65 | (478) all_0_69_69 = e4 % 21.80/5.65 | % 21.80/5.65 | Equations (478) can reduce 482 to: % 21.80/5.65 | (251) $false % 21.80/5.65 | % 21.80/5.65 |-The branch is then unsatisfiable % 21.80/5.65 |-Branch two: % 21.80/5.65 | (269) ~ (all_0_64_64 = e0) % 21.80/5.65 | (988) all_0_68_68 = e0 % 21.80/5.65 | % 21.80/5.65 | Combining equations (729,988) yields a new equation: % 21.80/5.65 | (354) e2 = e0 % 21.80/5.65 | % 21.80/5.65 | Simplifying 354 yields: % 21.80/5.65 | (355) e2 = e0 % 21.80/5.65 | % 21.80/5.65 | Equations (355) can reduce 48 to: % 21.80/5.65 | (251) $false % 21.80/5.65 | % 21.80/5.65 |-The branch is then unsatisfiable % 21.80/5.65 |-Branch two: % 21.80/5.65 | (651) ~ (all_0_60_60 = e1) % 21.80/5.65 | (1891) all_0_61_61 = e1 | all_0_62_62 = e1 % 21.80/5.65 | % 21.80/5.65 +-Applying beta-rule and splitting (107), into two cases. % 21.80/5.65 |-Branch one: % 21.80/5.65 | (2384) ( ~ (all_0_56_56 = e3) & ~ (all_0_66_66 = e3) & ~ (all_0_71_71 = e3)) | ( ~ (all_0_56_56 = e2) & ~ (all_0_61_61 = e2) & ~ (all_0_71_71 = e2)) | ( ~ (all_0_56_56 = e1) & ~ (all_0_61_61 = e1) & ~ (all_0_66_66 = e1)) % 21.80/5.65 | % 21.80/5.65 +-Applying beta-rule and splitting (2384), into two cases. % 21.80/5.65 |-Branch one: % 21.80/5.65 | (2385) ( ~ (all_0_56_56 = e3) & ~ (all_0_66_66 = e3) & ~ (all_0_71_71 = e3)) | ( ~ (all_0_56_56 = e2) & ~ (all_0_61_61 = e2) & ~ (all_0_71_71 = e2)) % 21.80/5.65 | % 21.80/5.65 +-Applying beta-rule and splitting (2385), into two cases. % 21.80/5.65 |-Branch one: % 21.80/5.65 | (2386) ~ (all_0_56_56 = e3) & ~ (all_0_66_66 = e3) & ~ (all_0_71_71 = e3) % 21.80/5.65 | % 21.80/5.65 | Applying alpha-rule on (2386) yields: % 21.80/5.65 | (249) ~ (all_0_56_56 = e3) % 21.80/5.65 | (542) ~ (all_0_66_66 = e3) % 21.80/5.65 | (297) ~ (all_0_71_71 = e3) % 21.80/5.65 | % 21.80/5.65 | Equations (250) can reduce 249 to: % 21.80/5.65 | (251) $false % 21.80/5.65 | % 21.80/5.65 |-The branch is then unsatisfiable % 21.80/5.65 |-Branch two: % 21.80/5.65 | (2391) ~ (all_0_56_56 = e2) & ~ (all_0_61_61 = e2) & ~ (all_0_71_71 = e2) % 21.80/5.65 | % 21.80/5.65 | Applying alpha-rule on (2391) yields: % 21.80/5.65 | (247) ~ (all_0_56_56 = e2) % 21.80/5.65 | (244) ~ (all_0_61_61 = e2) % 21.80/5.65 | (370) ~ (all_0_71_71 = e2) % 21.80/5.65 | % 21.80/5.65 | Equations (341) can reduce 244 to: % 21.80/5.65 | (251) $false % 21.80/5.65 | % 21.80/5.65 |-The branch is then unsatisfiable % 21.80/5.65 |-Branch two: % 21.80/5.65 | (2396) ~ (all_0_56_56 = e1) & ~ (all_0_61_61 = e1) & ~ (all_0_66_66 = e1) % 21.80/5.65 | % 21.80/5.65 | Applying alpha-rule on (2396) yields: % 21.80/5.65 | (245) ~ (all_0_56_56 = e1) % 21.80/5.65 | (246) ~ (all_0_61_61 = e1) % 21.80/5.65 | (248) ~ (all_0_66_66 = e1) % 21.80/5.65 | % 21.80/5.65 | Equations (341) can reduce 246 to: % 21.80/5.65 | (184) ~ (e2 = e1) % 21.80/5.65 | % 21.80/5.65 +-Applying beta-rule and splitting (1891), into two cases. % 21.80/5.65 |-Branch one: % 21.80/5.65 | (523) all_0_61_61 = e1 % 21.80/5.65 | % 21.80/5.65 | Combining equations (341,523) yields a new equation: % 21.80/5.65 | (336) e2 = e1 % 21.80/5.65 | % 21.80/5.65 | Simplifying 336 yields: % 21.80/5.65 | (337) e2 = e1 % 21.80/5.65 | % 21.80/5.65 | Equations (337) can reduce 184 to: % 21.80/5.65 | (251) $false % 21.80/5.65 | % 21.80/5.65 |-The branch is then unsatisfiable % 21.80/5.65 |-Branch two: % 21.80/5.65 | (246) ~ (all_0_61_61 = e1) % 21.80/5.65 | (327) all_0_62_62 = e1 % 21.80/5.65 | % 21.80/5.65 | Combining equations (845,327) yields a new equation: % 21.80/5.65 | (2018) e4 = e1 % 21.80/5.65 | % 21.93/5.65 | Simplifying 2018 yields: % 21.93/5.65 | (1244) e4 = e1 % 21.93/5.65 | % 21.93/5.65 | Equations (1244) can reduce 193 to: % 21.93/5.65 | (251) $false % 21.93/5.65 | % 21.93/5.65 |-The branch is then unsatisfiable % 21.93/5.65 |-Branch two: % 21.93/5.65 | (2401) ~ (all_0_61_61 = e4) & ~ (all_0_66_66 = e4) & ~ (all_0_71_71 = e4) % 21.93/5.65 | % 21.93/5.65 | Applying alpha-rule on (2401) yields: % 21.93/5.65 | (512) ~ (all_0_61_61 = e4) % 21.93/5.65 | (534) ~ (all_0_66_66 = e4) % 21.93/5.65 | (556) ~ (all_0_71_71 = e4) % 21.93/5.65 | % 21.93/5.65 | Equations (552) can reduce 556 to: % 21.93/5.65 | (251) $false % 21.93/5.65 | % 21.93/5.65 |-The branch is then unsatisfiable % 21.93/5.65 |-Branch two: % 21.93/5.65 | (920) ~ (all_0_62_62 = e4) % 21.93/5.65 | (498) all_0_63_63 = e4 % 21.93/5.65 | % 21.93/5.65 | Combining equations (576,498) yields a new equation: % 21.93/5.65 | (510) e4 = e0 % 21.93/5.65 | % 21.93/5.65 | Equations (510) can reduce 17 to: % 21.93/5.65 | (251) $false % 21.93/5.65 | % 21.93/5.65 |-The branch is then unsatisfiable % 21.93/5.65 |-Branch two: % 21.93/5.65 | (397) ~ (all_0_70_70 = e3) % 21.93/5.65 | (558) all_0_71_71 = e3 % 21.93/5.65 | % 21.93/5.65 | Equations (558) can reduce 297 to: % 21.93/5.65 | (251) $false % 21.93/5.65 | % 21.93/5.65 |-The branch is then unsatisfiable % 21.93/5.65 |-Branch two: % 21.93/5.65 | (249) ~ (all_0_56_56 = e3) % 21.93/5.65 | (658) all_0_64_64 = e3 | all_0_68_68 = e3 % 21.93/5.65 | % 21.93/5.65 +-Applying beta-rule and splitting (658), into two cases. % 21.93/5.65 |-Branch one: % 21.93/5.65 | (302) all_0_64_64 = e3 % 21.93/5.65 | % 21.93/5.65 | Equations (302) can reduce 218 to: % 21.93/5.65 | (46) ~ (all_0_60_60 = e3) % 21.93/5.65 | % 21.93/5.65 | Equations (302) can reduce 191 to: % 21.93/5.65 | (689) ~ (all_0_65_65 = e3) % 21.93/5.65 | % 21.93/5.65 | Simplifying 689 yields: % 21.93/5.65 | (75) ~ (all_0_65_65 = e3) % 21.93/5.65 | % 21.93/5.65 | Equations (302) can reduce 100 to: % 21.93/5.65 | (691) ~ (all_0_66_66 = e3) % 21.93/5.65 | % 21.93/5.65 | Simplifying 691 yields: % 21.93/5.65 | (542) ~ (all_0_66_66 = e3) % 21.93/5.65 | % 21.93/5.65 | Equations (302) can reduce 196 to: % 21.93/5.65 | (770) ~ (all_0_67_67 = e3) % 21.93/5.65 | % 21.93/5.65 | Simplifying 770 yields: % 21.93/5.65 | (629) ~ (all_0_67_67 = e3) % 21.93/5.65 | % 21.93/5.65 | Equations (302) can reduce 198 to: % 21.93/5.65 | (128) ~ (e3 = e2) % 21.93/5.65 | % 21.93/5.65 +-Applying beta-rule and splitting (207), into two cases. % 21.93/5.65 |-Branch one: % 21.93/5.65 | (375) all_0_59_59 = e3 % 21.93/5.65 | % 21.93/5.65 | Combining equations (364,375) yields a new equation: % 21.93/5.65 | (376) e3 = e2 % 21.93/5.65 | % 21.93/5.65 | Equations (376) can reduce 128 to: % 21.93/5.65 | (251) $false % 21.93/5.65 | % 21.93/5.65 |-The branch is then unsatisfiable % 21.93/5.65 |-Branch two: % 21.93/5.65 | (378) ~ (all_0_59_59 = e3) % 21.93/5.65 | (379) all_0_67_67 = e3 | all_0_71_71 = e3 % 21.93/5.65 | % 21.93/5.65 +-Applying beta-rule and splitting (379), into two cases. % 21.93/5.65 |-Branch one: % 21.93/5.65 | (380) all_0_67_67 = e3 % 21.93/5.65 | % 21.93/5.65 | Equations (380) can reduce 629 to: % 21.93/5.65 | (251) $false % 21.93/5.65 | % 21.93/5.65 |-The branch is then unsatisfiable % 21.93/5.65 |-Branch two: % 21.93/5.65 | (629) ~ (all_0_67_67 = e3) % 21.93/5.65 | (558) all_0_71_71 = e3 % 21.93/5.65 | % 21.93/5.65 | Equations (558) can reduce 47 to: % 21.93/5.65 | (238) ~ (all_0_69_69 = e3) % 21.93/5.65 | % 21.93/5.65 | Equations (558) can reduce 94 to: % 21.93/5.65 | (397) ~ (all_0_70_70 = e3) % 21.93/5.65 | % 21.93/5.65 | Equations (558) can reduce 200 to: % 21.93/5.65 | (15) ~ (e3 = e1) % 21.93/5.65 | % 21.93/5.65 +-Applying beta-rule and splitting (54), into two cases. % 21.93/5.65 |-Branch one: % 21.93/5.65 | (395) all_0_58_58 = e3 % 21.93/5.65 | % 21.93/5.65 | Equations (395) can reduce 43 to: % 21.93/5.65 | (249) ~ (all_0_56_56 = e3) % 21.93/5.65 | % 21.93/5.65 | Equations (395) can reduce 71 to: % 21.93/5.65 | (124) ~ (all_0_57_57 = e3) % 21.93/5.65 | % 21.93/5.65 | Equations (395) can reduce 180 to: % 21.93/5.65 | (5329) ~ (all_0_62_62 = e3) % 21.93/5.65 | % 21.93/5.65 | Simplifying 5329 yields: % 21.93/5.65 | (41) ~ (all_0_62_62 = e3) % 21.93/5.65 | % 21.93/5.65 | Equations (395) can reduce 216 to: % 21.93/5.65 | (691) ~ (all_0_66_66 = e3) % 21.93/5.65 | % 21.93/5.65 | Simplifying 691 yields: % 21.93/5.65 | (542) ~ (all_0_66_66 = e3) % 21.93/5.65 | % 21.93/5.65 | Equations (395) can reduce 224 to: % 21.93/5.65 | (396) ~ (all_0_70_70 = e3) % 21.93/5.65 | % 21.93/5.65 | Simplifying 396 yields: % 21.93/5.65 | (397) ~ (all_0_70_70 = e3) % 21.93/5.65 | % 21.93/5.65 | Equations (395) can reduce 214 to: % 21.93/5.65 | (774) ~ (e4 = e3) % 21.93/5.65 | % 21.93/5.65 | Simplifying 774 yields: % 21.93/5.65 | (130) ~ (e4 = e3) % 21.93/5.65 | % 21.93/5.65 | From (395) and (160) follows: % 21.93/5.65 | (5338) op(e4, e2) = e3 % 21.93/5.65 | % 21.93/5.65 +-Applying beta-rule and splitting (291), into two cases. % 21.93/5.65 |-Branch one: % 21.93/5.65 | (647) all_0_60_60 = e1 % 21.93/5.65 | % 21.93/5.65 | Equations (647) can reduce 114 to: % 21.93/5.65 | (245) ~ (all_0_56_56 = e1) % 21.93/5.65 | % 21.93/5.65 | Equations (647) can reduce 168 to: % 21.93/5.65 | (712) ~ (all_0_62_62 = e1) % 21.93/5.65 | % 21.93/5.65 | Simplifying 712 yields: % 21.93/5.65 | (632) ~ (all_0_62_62 = e1) % 21.93/5.65 | % 21.93/5.65 | Equations (647) can reduce 76 to: % 21.93/5.65 | (671) ~ (all_0_63_63 = e1) % 21.93/5.65 | % 21.93/5.65 | Simplifying 671 yields: % 21.93/5.65 | (119) ~ (all_0_63_63 = e1) % 21.93/5.65 | % 21.93/5.65 | Equations (647) can reduce 46 to: % 21.93/5.65 | (736) ~ (e3 = e1) % 21.93/5.65 | % 21.93/5.65 | Simplifying 736 yields: % 21.93/5.65 | (15) ~ (e3 = e1) % 21.93/5.65 | % 21.93/5.65 | From (647) and (146) follows: % 21.93/5.65 | (1232) op(e4, e1) = all_0_29_29 % 21.93/5.65 | % 21.93/5.65 +-Applying beta-rule and splitting (144), into two cases. % 21.93/5.65 |-Branch one: % 21.93/5.65 | (258) all_0_56_56 = e1 % 21.93/5.65 | % 21.93/5.65 | Equations (258) can reduce 245 to: % 21.93/5.65 | (251) $false % 21.93/5.65 | % 21.93/5.65 |-The branch is then unsatisfiable % 21.93/5.65 |-Branch two: % 21.93/5.65 | (245) ~ (all_0_56_56 = e1) % 21.93/5.65 | (1190) all_0_57_57 = e1 | all_0_58_58 = e1 % 21.93/5.65 | % 21.93/5.65 +-Applying beta-rule and splitting (1190), into two cases. % 21.93/5.65 |-Branch one: % 21.93/5.65 | (313) all_0_57_57 = e1 % 21.93/5.65 | % 21.93/5.65 | Equations (313) can reduce 18 to: % 21.93/5.65 | (318) ~ (all_0_69_69 = e1) % 21.93/5.65 | % 21.93/5.65 | Simplifying 318 yields: % 21.93/5.65 | (156) ~ (all_0_69_69 = e1) % 21.93/5.65 | % 21.93/5.65 | Equations (313) can reduce 124 to: % 21.93/5.65 | (736) ~ (e3 = e1) % 21.93/5.65 | % 21.93/5.65 | Simplifying 736 yields: % 21.93/5.65 | (15) ~ (e3 = e1) % 21.93/5.65 | % 21.93/5.65 | From (313) and (137) follows: % 21.93/5.65 | (1492) op(e4, e1) = all_0_36_36 % 21.93/5.65 | % 21.93/5.65 +-Applying beta-rule and splitting (210), into two cases. % 21.93/5.65 |-Branch one: % 21.93/5.65 | (323) all_0_58_58 = e1 % 21.93/5.65 | % 21.93/5.65 | Combining equations (395,323) yields a new equation: % 21.93/5.65 | (660) e3 = e1 % 21.93/5.65 | % 21.93/5.65 | Simplifying 660 yields: % 21.93/5.65 | (661) e3 = e1 % 21.93/5.65 | % 21.93/5.65 | Equations (661) can reduce 15 to: % 21.93/5.65 | (251) $false % 21.93/5.65 | % 21.93/5.65 |-The branch is then unsatisfiable % 21.93/5.65 |-Branch two: % 21.93/5.65 | (315) ~ (all_0_58_58 = e1) % 21.93/5.65 | (326) all_0_62_62 = e1 | all_0_66_66 = e1 % 21.93/5.65 | % 21.93/5.65 +-Applying beta-rule and splitting (326), into two cases. % 21.93/5.65 |-Branch one: % 21.93/5.65 | (327) all_0_62_62 = e1 % 21.93/5.65 | % 21.93/5.65 | Equations (327) can reduce 632 to: % 21.93/5.65 | (251) $false % 21.93/5.65 | % 21.93/5.65 |-The branch is then unsatisfiable % 21.93/5.65 |-Branch two: % 21.93/5.65 | (632) ~ (all_0_62_62 = e1) % 21.93/5.65 | (546) all_0_66_66 = e1 % 21.93/5.65 | % 21.93/5.65 | Equations (546) can reduce 135 to: % 21.93/5.65 | (632) ~ (all_0_62_62 = e1) % 21.93/5.65 | % 21.93/5.65 | Equations (546) can reduce 66 to: % 21.93/5.65 | (308) ~ (all_0_65_65 = e1) % 21.93/5.65 | % 21.93/5.65 | Equations (546) can reduce 542 to: % 21.93/5.65 | (736) ~ (e3 = e1) % 21.93/5.65 | % 21.93/5.65 | Simplifying 736 yields: % 21.93/5.65 | (15) ~ (e3 = e1) % 21.93/5.65 | % 21.93/5.65 +-Applying beta-rule and splitting (206), into two cases. % 21.93/5.65 |-Branch one: % 21.93/5.65 | (261) all_0_56_56 = e0 % 21.93/5.65 | % 21.93/5.65 | Equations (261) can reduce 92 to: % 21.93/5.65 | (514) ~ (e4 = e0) % 21.93/5.65 | % 21.93/5.65 | Simplifying 514 yields: % 21.93/5.65 | (17) ~ (e4 = e0) % 21.93/5.65 | % 21.93/5.65 | Equations (261) can reduce 249 to: % 21.93/5.65 | (272) ~ (e3 = e0) % 21.93/5.65 | % 21.93/5.65 | Simplifying 272 yields: % 21.93/5.65 | (36) ~ (e3 = e0) % 21.93/5.65 | % 21.93/5.65 | Equations (261) can reduce 247 to: % 21.93/5.65 | (274) ~ (e2 = e0) % 21.93/5.65 | % 21.93/5.65 | Simplifying 274 yields: % 21.93/5.65 | (48) ~ (e2 = e0) % 21.93/5.65 | % 21.93/5.65 | Instantiating formula (61) with e4, e1, all_0_29_29, e2 and discharging atoms op(e4, e1) = all_0_29_29, op(e4, e1) = e2, yields: % 21.93/5.65 | (6253) all_0_29_29 = e2 % 21.93/5.65 | % 21.93/5.65 | Instantiating formula (61) with e4, e1, all_0_36_36, all_0_29_29 and discharging atoms op(e4, e1) = all_0_29_29, op(e4, e1) = all_0_36_36, yields: % 21.93/5.65 | (2918) all_0_29_29 = all_0_36_36 % 21.93/5.65 | % 21.93/5.65 | Combining equations (6253,2918) yields a new equation: % 21.93/5.65 | (1700) all_0_36_36 = e2 % 21.93/5.65 | % 21.93/5.65 | From (1700) and (1492) follows: % 21.93/5.65 | (1563) op(e4, e1) = e2 % 21.93/5.65 | % 21.93/5.65 +-Applying beta-rule and splitting (3), into two cases. % 21.93/5.65 |-Branch one: % 21.93/5.65 | (478) all_0_69_69 = e4 % 21.93/5.65 | % 21.93/5.65 | Equations (478) can reduce 73 to: % 21.93/5.65 | (1246) ~ (all_0_65_65 = e4) % 21.93/5.65 | % 21.93/5.65 | Equations (478) can reduce 221 to: % 21.93/5.65 | (1236) ~ (all_0_70_70 = e4) % 21.93/5.65 | % 21.93/5.65 | Simplifying 1236 yields: % 21.93/5.65 | (567) ~ (all_0_70_70 = e4) % 21.93/5.65 | % 21.93/5.65 +-Applying beta-rule and splitting (227), into two cases. % 21.93/5.65 |-Branch one: % 21.93/5.65 | (1243) all_0_65_65 = e4 % 21.93/5.65 | % 21.93/5.66 | Equations (1243) can reduce 1246 to: % 21.93/5.66 | (251) $false % 21.93/5.66 | % 21.93/5.66 |-The branch is then unsatisfiable % 21.93/5.66 |-Branch two: % 21.93/5.66 | (1246) ~ (all_0_65_65 = e4) % 21.93/5.66 | (1802) all_0_65_65 = e1 | all_0_65_65 = e0 % 21.93/5.66 | % 21.93/5.66 +-Applying beta-rule and splitting (181), into two cases. % 21.93/5.66 |-Branch one: % 21.93/5.66 | (500) all_0_70_70 = e4 % 21.93/5.66 | % 21.93/5.66 | Equations (500) can reduce 567 to: % 21.93/5.66 | (251) $false % 21.93/5.66 | % 21.93/5.66 |-The branch is then unsatisfiable % 21.93/5.66 |-Branch two: % 21.93/5.66 | (567) ~ (all_0_70_70 = e4) % 21.93/5.66 | (1273) all_0_70_70 = e3 | all_0_70_70 = e0 % 21.93/5.66 | % 21.93/5.66 +-Applying beta-rule and splitting (1802), into two cases. % 21.93/5.66 |-Branch one: % 21.93/5.66 | (619) all_0_65_65 = e1 % 21.93/5.66 | % 21.93/5.66 | Equations (619) can reduce 308 to: % 21.93/5.66 | (251) $false % 21.93/5.66 | % 21.93/5.66 |-The branch is then unsatisfiable % 21.93/5.66 |-Branch two: % 21.93/5.66 | (308) ~ (all_0_65_65 = e1) % 21.93/5.66 | (1448) all_0_65_65 = e0 % 21.93/5.66 | % 21.93/5.66 +-Applying beta-rule and splitting (1273), into two cases. % 21.93/5.66 |-Branch one: % 21.93/5.66 | (597) all_0_70_70 = e3 % 21.93/5.66 | % 21.93/5.66 | Equations (597) can reduce 397 to: % 21.93/5.66 | (251) $false % 21.93/5.66 | % 21.93/5.66 |-The branch is then unsatisfiable % 21.93/5.66 |-Branch two: % 21.93/5.66 | (397) ~ (all_0_70_70 = e3) % 21.93/5.66 | (1323) all_0_70_70 = e0 % 21.93/5.66 | % 21.93/5.66 | Equations (1323) can reduce 567 to: % 21.93/5.66 | (514) ~ (e4 = e0) % 21.93/5.66 | % 21.93/5.66 | Simplifying 514 yields: % 21.93/5.66 | (17) ~ (e4 = e0) % 21.93/5.66 | % 21.93/5.66 +-Applying beta-rule and splitting (53), into two cases. % 21.93/5.66 |-Branch one: % 21.93/5.66 | (845) all_0_62_62 = e4 % 21.93/5.66 | % 21.93/5.66 | Equations (845) can reduce 70 to: % 21.93/5.66 | (4013) ~ (all_0_63_63 = e4) % 21.93/5.66 | % 21.93/5.66 | Simplifying 4013 yields: % 21.93/5.66 | (571) ~ (all_0_63_63 = e4) % 21.93/5.66 | % 21.93/5.66 | Equations (845) can reduce 41 to: % 21.93/5.66 | (130) ~ (e4 = e3) % 21.93/5.66 | % 21.93/5.66 | From (845) and (222) follows: % 21.93/5.66 | (1240) op(e4, e2) = all_0_11_11 % 21.93/5.66 | % 21.93/5.66 +-Applying beta-rule and splitting (38), into two cases. % 21.93/5.66 |-Branch one: % 21.93/5.66 | (498) all_0_63_63 = e4 % 21.93/5.66 | % 21.93/5.66 | Equations (498) can reduce 571 to: % 21.93/5.66 | (251) $false % 21.93/5.66 | % 21.93/5.66 |-The branch is then unsatisfiable % 21.93/5.66 |-Branch two: % 21.93/5.66 | (571) ~ (all_0_63_63 = e4) % 21.93/5.66 | (2319) all_0_67_67 = e4 | all_0_71_71 = e4 % 21.93/5.66 | % 21.93/5.66 +-Applying beta-rule and splitting (10), into two cases. % 21.93/5.66 |-Branch one: % 21.93/5.66 | (1251) all_0_67_67 = e4 % 21.93/5.66 | % 21.93/5.66 | Equations (1251) can reduce 116 to: % 21.93/5.66 | (571) ~ (all_0_63_63 = e4) % 21.93/5.66 | % 21.93/5.66 | From (1251) and (143) follows: % 21.93/5.66 | (1253) op(e4, e2) = all_0_19_19 % 21.93/5.66 | % 21.93/5.66 | From (1251) and (52) follows: % 21.93/5.66 | (1254) op(e4, e1) = all_0_20_20 % 21.93/5.66 | % 21.93/5.66 +-Applying beta-rule and splitting (140), into two cases. % 21.93/5.66 |-Branch one: % 21.93/5.66 | (498) all_0_63_63 = e4 % 21.93/5.66 | % 21.93/5.66 | Equations (498) can reduce 571 to: % 21.93/5.66 | (251) $false % 21.93/5.66 | % 21.93/5.66 |-The branch is then unsatisfiable % 21.93/5.66 |-Branch two: % 21.93/5.66 | (571) ~ (all_0_63_63 = e4) % 21.93/5.66 | (572) all_0_63_63 = e2 | all_0_63_63 = e0 % 21.93/5.66 | % 21.93/5.66 +-Applying beta-rule and splitting (572), into two cases. % 21.93/5.66 |-Branch one: % 21.93/5.66 | (573) all_0_63_63 = e2 % 21.93/5.66 | % 21.93/5.66 | Equations (573) can reduce 366 to: % 21.93/5.66 | (251) $false % 21.93/5.66 | % 21.93/5.66 |-The branch is then unsatisfiable % 21.93/5.66 |-Branch two: % 21.93/5.66 | (366) ~ (all_0_63_63 = e2) % 21.93/5.66 | (576) all_0_63_63 = e0 % 21.93/5.66 | % 21.93/5.66 | Equations (576) can reduce 571 to: % 21.93/5.66 | (514) ~ (e4 = e0) % 21.93/5.66 | % 21.93/5.66 | Simplifying 514 yields: % 21.93/5.66 | (17) ~ (e4 = e0) % 21.93/5.66 | % 21.93/5.66 | Instantiating formula (61) with e4, e2, all_0_11_11, e3 and discharging atoms op(e4, e2) = all_0_11_11, op(e4, e2) = e3, yields: % 21.93/5.66 | (5953) all_0_11_11 = e3 % 21.93/5.66 | % 21.93/5.66 | Instantiating formula (61) with e4, e2, all_0_19_19, all_0_11_11 and discharging atoms op(e4, e2) = all_0_11_11, op(e4, e2) = all_0_19_19, yields: % 21.93/5.66 | (1333) all_0_11_11 = all_0_19_19 % 21.93/5.66 | % 21.93/5.66 | Instantiating formula (61) with e4, e1, all_0_20_20, e2 and discharging atoms op(e4, e1) = all_0_20_20, op(e4, e1) = e2, yields: % 21.93/5.66 | (2093) all_0_20_20 = e2 % 21.93/5.66 | % 21.93/5.66 | Combining equations (5953,1333) yields a new equation: % 21.93/5.66 | (6305) all_0_19_19 = e3 % 21.93/5.66 | % 21.93/5.66 +-Applying beta-rule and splitting (199), into two cases. % 21.93/5.66 |-Branch one: % 21.93/5.66 | (2095) ~ (all_0_20_20 = e2) % 21.93/5.66 | % 21.93/5.66 | Equations (2093) can reduce 2095 to: % 21.93/5.66 | (251) $false % 21.93/5.66 | % 21.93/5.66 |-The branch is then unsatisfiable % 21.93/5.66 |-Branch two: % 21.93/5.66 | (2093) all_0_20_20 = e2 % 21.93/5.66 | (2098) all_0_19_19 = e1 | all_0_67_67 = all_0_70_70 % 21.93/5.66 | % 21.93/5.66 +-Applying beta-rule and splitting (2098), into two cases. % 21.93/5.66 |-Branch one: % 21.93/5.66 | (404) all_0_19_19 = e1 % 21.93/5.66 | % 21.93/5.66 | Combining equations (404,6305) yields a new equation: % 21.93/5.66 | (661) e3 = e1 % 21.93/5.66 | % 21.93/5.66 | Equations (661) can reduce 15 to: % 21.93/5.66 | (251) $false % 21.93/5.66 | % 21.93/5.66 |-The branch is then unsatisfiable % 21.93/5.66 |-Branch two: % 21.93/5.66 | (2102) ~ (all_0_19_19 = e1) % 21.93/5.66 | (2103) all_0_67_67 = all_0_70_70 % 21.93/5.66 | % 21.93/5.66 | Combining equations (2103,1251) yields a new equation: % 21.93/5.66 | (6315) all_0_70_70 = e4 % 21.93/5.66 | % 21.93/5.66 | Simplifying 6315 yields: % 21.93/5.66 | (500) all_0_70_70 = e4 % 21.93/5.66 | % 21.93/5.66 | Combining equations (500,1323) yields a new equation: % 21.93/5.66 | (531) e4 = e0 % 21.93/5.66 | % 21.93/5.66 | Simplifying 531 yields: % 21.93/5.66 | (510) e4 = e0 % 21.93/5.66 | % 21.93/5.66 | Equations (510) can reduce 17 to: % 21.93/5.66 | (251) $false % 21.93/5.66 | % 21.93/5.66 |-The branch is then unsatisfiable % 21.93/5.66 |-Branch two: % 21.93/5.66 | (1581) ~ (all_0_67_67 = e4) % 21.93/5.66 | (1634) all_0_67_67 = e3 | all_0_67_67 = e0 % 21.93/5.66 | % 21.93/5.66 +-Applying beta-rule and splitting (2319), into two cases. % 21.93/5.66 |-Branch one: % 21.93/5.66 | (1251) all_0_67_67 = e4 % 21.93/5.66 | % 21.93/5.66 | Equations (1251) can reduce 1581 to: % 21.93/5.66 | (251) $false % 21.93/5.66 | % 21.93/5.66 |-The branch is then unsatisfiable % 21.93/5.66 |-Branch two: % 21.93/5.66 | (1581) ~ (all_0_67_67 = e4) % 21.93/5.66 | (552) all_0_71_71 = e4 % 21.93/5.66 | % 21.93/5.66 | Combining equations (558,552) yields a new equation: % 21.93/5.66 | (935) e4 = e3 % 21.93/5.66 | % 21.93/5.66 | Equations (935) can reduce 130 to: % 21.93/5.66 | (251) $false % 21.93/5.66 | % 21.93/5.66 |-The branch is then unsatisfiable % 21.93/5.66 |-Branch two: % 21.93/5.66 | (920) ~ (all_0_62_62 = e4) % 21.93/5.66 | (921) all_0_62_62 = e1 | all_0_62_62 = e0 % 21.93/5.66 | % 21.93/5.66 +-Applying beta-rule and splitting (42), into two cases. % 21.93/5.66 |-Branch one: % 21.93/5.66 | (845) all_0_62_62 = e4 % 21.93/5.66 | % 21.93/5.66 | Equations (845) can reduce 920 to: % 21.93/5.66 | (251) $false % 21.93/5.66 | % 21.93/5.66 |-The branch is then unsatisfiable % 21.93/5.66 |-Branch two: % 21.93/5.66 | (920) ~ (all_0_62_62 = e4) % 21.93/5.66 | (2296) all_0_66_66 = e4 | all_0_70_70 = e4 % 21.93/5.66 | % 21.93/5.66 +-Applying beta-rule and splitting (138), into two cases. % 21.93/5.66 |-Branch one: % 21.93/5.66 | (1243) all_0_65_65 = e4 % 21.93/5.66 | % 21.93/5.66 | Combining equations (1448,1243) yields a new equation: % 21.93/5.66 | (510) e4 = e0 % 21.93/5.66 | % 21.93/5.66 | Equations (510) can reduce 17 to: % 21.93/5.66 | (251) $false % 21.93/5.66 | % 21.93/5.66 |-The branch is then unsatisfiable % 21.93/5.66 |-Branch two: % 21.93/5.66 | (1246) ~ (all_0_65_65 = e4) % 21.93/5.66 | (1247) all_0_66_66 = e4 | all_0_67_67 = e4 % 21.93/5.66 | % 21.93/5.66 | Equations (1448) can reduce 1246 to: % 21.93/5.66 | (514) ~ (e4 = e0) % 21.93/5.66 | % 21.93/5.66 | Simplifying 514 yields: % 21.93/5.66 | (17) ~ (e4 = e0) % 21.93/5.66 | % 21.93/5.66 +-Applying beta-rule and splitting (38), into two cases. % 21.93/5.66 |-Branch one: % 21.93/5.66 | (498) all_0_63_63 = e4 % 21.93/5.66 | % 21.93/5.66 | Equations (498) can reduce 119 to: % 21.93/5.66 | (193) ~ (e4 = e1) % 21.93/5.66 | % 21.93/5.66 +-Applying beta-rule and splitting (2296), into two cases. % 21.93/5.66 |-Branch one: % 21.93/5.66 | (530) all_0_66_66 = e4 % 21.93/5.66 | % 21.93/5.66 | Combining equations (546,530) yields a new equation: % 21.93/5.66 | (1244) e4 = e1 % 21.93/5.66 | % 21.93/5.66 | Equations (1244) can reduce 193 to: % 21.93/5.66 | (251) $false % 21.93/5.66 | % 21.93/5.66 |-The branch is then unsatisfiable % 21.93/5.66 |-Branch two: % 21.93/5.66 | (534) ~ (all_0_66_66 = e4) % 21.93/5.66 | (500) all_0_70_70 = e4 % 21.93/5.66 | % 21.93/5.66 | Combining equations (1323,500) yields a new equation: % 21.93/5.66 | (510) e4 = e0 % 21.93/5.66 | % 21.93/5.66 | Equations (510) can reduce 17 to: % 21.93/5.66 | (251) $false % 21.93/5.66 | % 21.93/5.66 |-The branch is then unsatisfiable % 21.93/5.66 |-Branch two: % 21.93/5.66 | (571) ~ (all_0_63_63 = e4) % 21.93/5.66 | (2319) all_0_67_67 = e4 | all_0_71_71 = e4 % 21.93/5.66 | % 21.93/5.66 +-Applying beta-rule and splitting (140), into two cases. % 21.93/5.66 |-Branch one: % 21.93/5.66 | (498) all_0_63_63 = e4 % 21.93/5.66 | % 21.93/5.66 | Equations (498) can reduce 571 to: % 21.93/5.66 | (251) $false % 21.93/5.66 | % 21.93/5.66 |-The branch is then unsatisfiable % 21.93/5.66 |-Branch two: % 21.93/5.66 | (571) ~ (all_0_63_63 = e4) % 21.93/5.66 | (572) all_0_63_63 = e2 | all_0_63_63 = e0 % 21.93/5.66 | % 21.93/5.66 +-Applying beta-rule and splitting (572), into two cases. % 21.93/5.66 |-Branch one: % 21.93/5.66 | (573) all_0_63_63 = e2 % 21.93/5.66 | % 21.93/5.66 | Equations (573) can reduce 366 to: % 21.93/5.66 | (251) $false % 21.93/5.66 | % 21.93/5.66 |-The branch is then unsatisfiable % 21.93/5.66 |-Branch two: % 21.93/5.66 | (366) ~ (all_0_63_63 = e2) % 21.93/5.66 | (576) all_0_63_63 = e0 % 21.93/5.66 | % 21.93/5.66 | Equations (576) can reduce 571 to: % 21.93/5.66 | (514) ~ (e4 = e0) % 21.93/5.66 | % 21.93/5.66 | Simplifying 514 yields: % 21.93/5.66 | (17) ~ (e4 = e0) % 21.93/5.66 | % 21.93/5.66 +-Applying beta-rule and splitting (2758), into two cases. % 21.93/5.66 |-Branch one: % 21.93/5.66 | (845) all_0_62_62 = e4 % 21.93/5.66 | % 21.93/5.66 | Equations (845) can reduce 920 to: % 21.93/5.66 | (251) $false % 21.93/5.66 | % 21.93/5.66 |-The branch is then unsatisfiable % 21.93/5.66 |-Branch two: % 21.93/5.66 | (920) ~ (all_0_62_62 = e4) % 21.93/5.66 | (498) all_0_63_63 = e4 % 21.93/5.66 | % 21.93/5.66 | Combining equations (576,498) yields a new equation: % 21.93/5.66 | (510) e4 = e0 % 21.93/5.66 | % 21.93/5.66 | Equations (510) can reduce 17 to: % 21.93/5.66 | (251) $false % 21.93/5.66 | % 21.93/5.66 |-The branch is then unsatisfiable % 21.93/5.66 |-Branch two: % 21.93/5.66 | (482) ~ (all_0_69_69 = e4) % 21.93/5.66 | (1477) all_0_69_69 = e2 | all_0_69_69 = e0 % 21.93/5.66 | % 21.93/5.66 +-Applying beta-rule and splitting (157), into two cases. % 21.93/5.66 |-Branch one: % 21.93/5.66 | (478) all_0_69_69 = e4 % 21.93/5.66 | % 21.93/5.66 | Equations (478) can reduce 482 to: % 21.93/5.66 | (251) $false % 21.93/5.66 | % 21.93/5.66 |-The branch is then unsatisfiable % 21.93/5.66 |-Branch two: % 21.93/5.66 | (482) ~ (all_0_69_69 = e4) % 21.93/5.66 | (483) all_0_70_70 = e4 | all_0_71_71 = e4 % 21.93/5.66 | % 21.93/5.66 +-Applying beta-rule and splitting (483), into two cases. % 21.93/5.66 |-Branch one: % 21.93/5.66 | (500) all_0_70_70 = e4 % 21.93/5.66 | % 21.93/5.66 | Equations (500) can reduce 208 to: % 21.93/5.66 | (920) ~ (all_0_62_62 = e4) % 21.93/5.66 | % 21.93/5.66 +-Applying beta-rule and splitting (2758), into two cases. % 21.93/5.66 |-Branch one: % 21.93/5.66 | (845) all_0_62_62 = e4 % 21.93/5.66 | % 21.93/5.66 | Equations (845) can reduce 920 to: % 21.93/5.66 | (251) $false % 21.93/5.66 | % 21.93/5.66 |-The branch is then unsatisfiable % 21.93/5.66 |-Branch two: % 21.93/5.66 | (920) ~ (all_0_62_62 = e4) % 21.93/5.66 | (498) all_0_63_63 = e4 % 21.93/5.66 | % 21.93/5.66 | Equations (498) can reduce 70 to: % 21.93/5.66 | (920) ~ (all_0_62_62 = e4) % 21.93/5.66 | % 21.93/5.66 +-Applying beta-rule and splitting (53), into two cases. % 21.93/5.66 |-Branch one: % 21.93/5.66 | (845) all_0_62_62 = e4 % 21.93/5.66 | % 21.93/5.66 | Equations (845) can reduce 920 to: % 21.93/5.66 | (251) $false % 21.93/5.66 | % 21.93/5.66 |-The branch is then unsatisfiable % 21.93/5.66 |-Branch two: % 21.93/5.66 | (920) ~ (all_0_62_62 = e4) % 21.93/5.66 | (921) all_0_62_62 = e1 | all_0_62_62 = e0 % 21.93/5.66 | % 21.93/5.66 +-Applying beta-rule and splitting (138), into two cases. % 21.93/5.66 |-Branch one: % 21.93/5.66 | (1243) all_0_65_65 = e4 % 21.93/5.66 | % 21.93/5.66 | Equations (1243) can reduce 73 to: % 21.93/5.67 | (2924) ~ (all_0_69_69 = e4) % 21.93/5.67 | % 21.93/5.67 | Simplifying 2924 yields: % 21.93/5.67 | (482) ~ (all_0_69_69 = e4) % 21.93/5.67 | % 21.93/5.67 | Equations (1243) can reduce 75 to: % 21.93/5.67 | (130) ~ (e4 = e3) % 21.93/5.67 | % 21.93/5.67 | Equations (1243) can reduce 101 to: % 21.93/5.67 | (49) ~ (e4 = e2) % 21.93/5.67 | % 21.93/5.67 | Equations (1243) can reduce 308 to: % 21.93/5.67 | (193) ~ (e4 = e1) % 21.93/5.67 | % 21.93/5.67 +-Applying beta-rule and splitting (57), into two cases. % 21.93/5.67 |-Branch one: % 21.93/5.67 | (988) all_0_68_68 = e0 % 21.93/5.67 | % 21.93/5.67 | Combining equations (729,988) yields a new equation: % 21.93/5.67 | (354) e2 = e0 % 21.93/5.67 | % 21.93/5.67 | Simplifying 354 yields: % 21.93/5.67 | (355) e2 = e0 % 21.93/5.67 | % 21.93/5.67 | Equations (355) can reduce 48 to: % 21.93/5.67 | (251) $false % 21.93/5.67 | % 21.93/5.67 |-The branch is then unsatisfiable % 21.93/5.67 |-Branch two: % 21.93/5.67 | (271) ~ (all_0_68_68 = e0) % 21.93/5.67 | (2049) all_0_69_69 = e0 | all_0_70_70 = e0 | all_0_71_71 = e0 % 21.93/5.67 | % 21.93/5.67 +-Applying beta-rule and splitting (2049), into two cases. % 21.93/5.67 |-Branch one: % 21.93/5.67 | (1481) all_0_69_69 = e0 % 21.93/5.67 | % 21.93/5.67 | Equations (1481) can reduce 482 to: % 21.93/5.67 | (514) ~ (e4 = e0) % 21.93/5.67 | % 21.93/5.67 | Simplifying 514 yields: % 21.93/5.67 | (17) ~ (e4 = e0) % 21.93/5.67 | % 21.93/5.67 | Equations (1481) can reduce 238 to: % 21.93/5.67 | (272) ~ (e3 = e0) % 21.93/5.67 | % 21.93/5.67 | Simplifying 272 yields: % 21.93/5.67 | (36) ~ (e3 = e0) % 21.93/5.67 | % 21.93/5.67 | Equations (1481) can reduce 156 to: % 21.93/5.67 | (276) ~ (e1 = e0) % 21.93/5.67 | % 21.93/5.67 | Simplifying 276 yields: % 21.93/5.67 | (204) ~ (e1 = e0) % 21.93/5.67 | % 21.93/5.67 +-Applying beta-rule and splitting (213), into two cases. % 21.93/5.67 |-Branch one: % 21.93/5.67 | (1119) all_0_60_60 = e0 % 21.93/5.67 | % 21.93/5.67 | Combining equations (1119,647) yields a new equation: % 21.93/5.67 | (288) e1 = e0 % 21.93/5.67 | % 21.93/5.67 | Equations (288) can reduce 204 to: % 21.93/5.67 | (251) $false % 21.93/5.67 | % 21.93/5.67 |-The branch is then unsatisfiable % 21.93/5.67 |-Branch two: % 21.93/5.67 | (267) ~ (all_0_60_60 = e0) % 21.93/5.67 | (2002) all_0_61_61 = e0 | all_0_62_62 = e0 | all_0_63_63 = e0 % 21.93/5.67 | % 21.93/5.67 | Equations (647) can reduce 267 to: % 21.93/5.67 | (204) ~ (e1 = e0) % 21.93/5.67 | % 21.93/5.67 +-Applying beta-rule and splitting (111), into two cases. % 21.93/5.67 |-Branch one: % 21.93/5.67 | (643) all_0_64_64 = e0 % 21.93/5.67 | % 21.93/5.67 | Combining equations (302,643) yields a new equation: % 21.93/5.67 | (390) e3 = e0 % 21.93/5.67 | % 21.93/5.67 | Simplifying 390 yields: % 21.93/5.67 | (391) e3 = e0 % 21.93/5.67 | % 21.93/5.67 | Equations (391) can reduce 36 to: % 21.93/5.67 | (251) $false % 21.93/5.67 | % 21.93/5.67 |-The branch is then unsatisfiable % 21.93/5.67 |-Branch two: % 21.93/5.67 | (269) ~ (all_0_64_64 = e0) % 21.93/5.67 | (1447) all_0_65_65 = e0 | all_0_66_66 = e0 | all_0_67_67 = e0 % 21.93/5.67 | % 21.93/5.67 +-Applying beta-rule and splitting (1447), into two cases. % 21.93/5.67 |-Branch one: % 21.93/5.67 | (1448) all_0_65_65 = e0 % 21.93/5.67 | % 21.93/5.67 | Combining equations (1448,1243) yields a new equation: % 21.93/5.67 | (510) e4 = e0 % 21.93/5.67 | % 21.93/5.67 | Equations (510) can reduce 17 to: % 21.93/5.67 | (251) $false % 21.93/5.67 | % 21.93/5.67 |-The branch is then unsatisfiable % 21.93/5.67 |-Branch two: % 21.93/5.67 | (1154) ~ (all_0_65_65 = e0) % 21.93/5.67 | (1453) all_0_66_66 = e0 | all_0_67_67 = e0 % 21.93/5.67 | % 21.93/5.67 +-Applying beta-rule and splitting (1453), into two cases. % 21.93/5.67 |-Branch one: % 21.93/5.67 | (468) all_0_66_66 = e0 % 21.93/5.67 | % 21.93/5.67 | Combining equations (546,468) yields a new equation: % 21.93/5.67 | (287) e1 = e0 % 21.93/5.67 | % 21.93/5.67 | Simplifying 287 yields: % 21.93/5.67 | (288) e1 = e0 % 21.93/5.67 | % 21.93/5.67 | Equations (288) can reduce 204 to: % 21.93/5.67 | (251) $false % 21.93/5.67 | % 21.93/5.67 |-The branch is then unsatisfiable % 21.93/5.67 |-Branch two: % 21.93/5.67 | (1457) ~ (all_0_66_66 = e0) % 21.93/5.67 | (1458) all_0_67_67 = e0 % 21.93/5.67 | % 21.93/5.67 +-Applying beta-rule and splitting (921), into two cases. % 21.93/5.67 |-Branch one: % 21.93/5.67 | (327) all_0_62_62 = e1 % 21.93/5.67 | % 21.93/5.67 | Equations (327) can reduce 632 to: % 21.93/5.67 | (251) $false % 21.93/5.67 | % 21.93/5.67 |-The branch is then unsatisfiable % 21.93/5.67 |-Branch two: % 21.93/5.67 | (632) ~ (all_0_62_62 = e1) % 21.93/5.67 | (925) all_0_62_62 = e0 % 21.93/5.67 | % 21.93/5.67 | Equations (925) can reduce 920 to: % 21.93/5.67 | (514) ~ (e4 = e0) % 21.93/5.67 | % 21.93/5.67 | Simplifying 514 yields: % 21.93/5.67 | (17) ~ (e4 = e0) % 21.93/5.67 | % 21.93/5.67 +-Applying beta-rule and splitting (12), into two cases. % 21.93/5.67 |-Branch one: % 21.93/5.67 | (1519) ~ (all_0_56_56 = e0) % 21.93/5.67 | % 21.93/5.67 | Equations (261) can reduce 1519 to: % 21.93/5.67 | (251) $false % 21.93/5.67 | % 21.93/5.67 |-The branch is then unsatisfiable % 21.93/5.67 |-Branch two: % 21.93/5.67 | (261) all_0_56_56 = e0 % 21.93/5.67 | (3052) all_0_61_61 = e4 | all_0_66_66 = e4 | all_0_71_71 = e4 | (all_0_62_62 = e4 & ~ (all_0_60_60 = e2)) | (all_0_63_63 = e4 & ~ (all_0_60_60 = e1)) | (all_0_65_65 = e4 & ~ (all_0_64_64 = e3)) | (all_0_67_67 = e4 & ~ (all_0_64_64 = e1)) | (all_0_69_69 = e4 & ~ (all_0_68_68 = e3)) | (all_0_70_70 = e4 & ~ (all_0_68_68 = e2)) % 21.93/5.67 | % 21.93/5.67 +-Applying beta-rule and splitting (3052), into two cases. % 21.93/5.67 |-Branch one: % 21.93/5.67 | (509) all_0_61_61 = e4 % 21.93/5.67 | % 21.93/5.67 | Combining equations (341,509) yields a new equation: % 21.93/5.67 | (480) e4 = e2 % 21.93/5.67 | % 21.93/5.67 | Equations (480) can reduce 49 to: % 21.93/5.67 | (251) $false % 21.93/5.67 | % 21.93/5.67 |-The branch is then unsatisfiable % 21.93/5.67 |-Branch two: % 21.93/5.67 | (512) ~ (all_0_61_61 = e4) % 21.93/5.67 | (3095) all_0_66_66 = e4 | all_0_71_71 = e4 | (all_0_62_62 = e4 & ~ (all_0_60_60 = e2)) | (all_0_63_63 = e4 & ~ (all_0_60_60 = e1)) | (all_0_65_65 = e4 & ~ (all_0_64_64 = e3)) | (all_0_67_67 = e4 & ~ (all_0_64_64 = e1)) | (all_0_69_69 = e4 & ~ (all_0_68_68 = e3)) | (all_0_70_70 = e4 & ~ (all_0_68_68 = e2)) % 21.93/5.67 | % 21.93/5.67 +-Applying beta-rule and splitting (3095), into two cases. % 21.93/5.67 |-Branch one: % 21.93/5.67 | (530) all_0_66_66 = e4 % 21.93/5.67 | % 21.93/5.67 | Combining equations (530,546) yields a new equation: % 21.93/5.67 | (2018) e4 = e1 % 21.93/5.67 | % 21.93/5.67 | Simplifying 2018 yields: % 21.93/5.67 | (1244) e4 = e1 % 21.93/5.67 | % 21.93/5.67 | Equations (1244) can reduce 193 to: % 21.93/5.67 | (251) $false % 21.93/5.67 | % 21.93/5.67 |-The branch is then unsatisfiable % 21.93/5.67 |-Branch two: % 21.93/5.67 | (534) ~ (all_0_66_66 = e4) % 21.93/5.67 | (3104) all_0_71_71 = e4 | (all_0_62_62 = e4 & ~ (all_0_60_60 = e2)) | (all_0_63_63 = e4 & ~ (all_0_60_60 = e1)) | (all_0_65_65 = e4 & ~ (all_0_64_64 = e3)) | (all_0_67_67 = e4 & ~ (all_0_64_64 = e1)) | (all_0_69_69 = e4 & ~ (all_0_68_68 = e3)) | (all_0_70_70 = e4 & ~ (all_0_68_68 = e2)) % 21.93/5.67 | % 21.93/5.67 +-Applying beta-rule and splitting (3104), into two cases. % 21.93/5.67 |-Branch one: % 21.93/5.67 | (552) all_0_71_71 = e4 % 21.93/5.67 | % 21.93/5.67 | Combining equations (552,558) yields a new equation: % 21.93/5.67 | (1463) e4 = e3 % 21.93/5.67 | % 21.93/5.67 | Simplifying 1463 yields: % 21.93/5.67 | (935) e4 = e3 % 21.93/5.67 | % 21.93/5.67 | Equations (935) can reduce 130 to: % 21.93/5.67 | (251) $false % 21.93/5.67 | % 21.93/5.67 |-The branch is then unsatisfiable % 21.93/5.67 |-Branch two: % 21.93/5.67 | (556) ~ (all_0_71_71 = e4) % 21.93/5.67 | (3110) (all_0_62_62 = e4 & ~ (all_0_60_60 = e2)) | (all_0_63_63 = e4 & ~ (all_0_60_60 = e1)) | (all_0_65_65 = e4 & ~ (all_0_64_64 = e3)) | (all_0_67_67 = e4 & ~ (all_0_64_64 = e1)) | (all_0_69_69 = e4 & ~ (all_0_68_68 = e3)) | (all_0_70_70 = e4 & ~ (all_0_68_68 = e2)) % 21.93/5.67 | % 21.93/5.67 +-Applying beta-rule and splitting (3110), into two cases. % 21.93/5.67 |-Branch one: % 21.93/5.67 | (3111) (all_0_62_62 = e4 & ~ (all_0_60_60 = e2)) | (all_0_63_63 = e4 & ~ (all_0_60_60 = e1)) | (all_0_65_65 = e4 & ~ (all_0_64_64 = e3)) | (all_0_67_67 = e4 & ~ (all_0_64_64 = e1)) | (all_0_69_69 = e4 & ~ (all_0_68_68 = e3)) % 21.93/5.67 | % 21.93/5.67 +-Applying beta-rule and splitting (3111), into two cases. % 21.93/5.67 |-Branch one: % 21.93/5.67 | (3112) (all_0_62_62 = e4 & ~ (all_0_60_60 = e2)) | (all_0_63_63 = e4 & ~ (all_0_60_60 = e1)) | (all_0_65_65 = e4 & ~ (all_0_64_64 = e3)) | (all_0_67_67 = e4 & ~ (all_0_64_64 = e1)) % 21.93/5.67 | % 21.93/5.67 +-Applying beta-rule and splitting (3112), into two cases. % 21.93/5.67 |-Branch one: % 21.93/5.67 | (3113) (all_0_62_62 = e4 & ~ (all_0_60_60 = e2)) | (all_0_63_63 = e4 & ~ (all_0_60_60 = e1)) | (all_0_65_65 = e4 & ~ (all_0_64_64 = e3)) % 21.93/5.67 | % 21.93/5.67 +-Applying beta-rule and splitting (3113), into two cases. % 21.93/5.67 |-Branch one: % 21.93/5.67 | (3114) (all_0_62_62 = e4 & ~ (all_0_60_60 = e2)) | (all_0_63_63 = e4 & ~ (all_0_60_60 = e1)) % 21.93/5.67 | % 21.93/5.67 +-Applying beta-rule and splitting (3114), into two cases. % 21.93/5.67 |-Branch one: % 21.93/5.67 | (3115) all_0_62_62 = e4 & ~ (all_0_60_60 = e2) % 21.93/5.67 | % 21.93/5.67 | Applying alpha-rule on (3115) yields: % 21.93/5.67 | (845) all_0_62_62 = e4 % 21.93/5.67 | (666) ~ (all_0_60_60 = e2) % 21.93/5.67 | % 21.93/5.67 | Combining equations (925,845) yields a new equation: % 21.93/5.67 | (510) e4 = e0 % 21.93/5.67 | % 21.93/5.67 | Equations (510) can reduce 17 to: % 21.93/5.67 | (251) $false % 21.93/5.67 | % 21.93/5.67 |-The branch is then unsatisfiable % 21.93/5.67 |-Branch two: % 21.93/5.67 | (3119) all_0_63_63 = e4 & ~ (all_0_60_60 = e1) % 21.93/5.67 | % 21.93/5.67 | Applying alpha-rule on (3119) yields: % 21.93/5.67 | (498) all_0_63_63 = e4 % 21.93/5.67 | (651) ~ (all_0_60_60 = e1) % 21.93/5.67 | % 21.93/5.67 | Equations (647) can reduce 651 to: % 21.93/5.67 | (251) $false % 21.93/5.67 | % 21.93/5.67 |-The branch is then unsatisfiable % 21.93/5.67 |-Branch two: % 21.93/5.67 | (3124) all_0_65_65 = e4 & ~ (all_0_64_64 = e3) % 21.93/5.67 | % 21.93/5.67 | Applying alpha-rule on (3124) yields: % 21.93/5.67 | (1243) all_0_65_65 = e4 % 21.93/5.67 | (293) ~ (all_0_64_64 = e3) % 21.93/5.67 | % 21.93/5.67 | Equations (302) can reduce 293 to: % 21.93/5.67 | (251) $false % 21.93/5.67 | % 21.93/5.67 |-The branch is then unsatisfiable % 21.93/5.67 |-Branch two: % 21.93/5.67 | (3129) all_0_67_67 = e4 & ~ (all_0_64_64 = e1) % 21.93/5.67 | % 21.93/5.67 | Applying alpha-rule on (3129) yields: % 21.93/5.67 | (1251) all_0_67_67 = e4 % 21.93/5.67 | (642) ~ (all_0_64_64 = e1) % 21.93/5.67 | % 21.93/5.67 | Combining equations (1458,1251) yields a new equation: % 21.93/5.67 | (510) e4 = e0 % 21.93/5.67 | % 21.93/5.67 | Equations (510) can reduce 17 to: % 21.93/5.67 | (251) $false % 21.93/5.67 | % 21.93/5.67 |-The branch is then unsatisfiable % 21.93/5.67 |-Branch two: % 21.93/5.67 | (3133) all_0_69_69 = e4 & ~ (all_0_68_68 = e3) % 21.93/5.67 | % 21.93/5.67 | Applying alpha-rule on (3133) yields: % 21.93/5.67 | (478) all_0_69_69 = e4 % 21.93/5.67 | (645) ~ (all_0_68_68 = e3) % 21.93/5.67 | % 21.93/5.67 | Combining equations (1481,478) yields a new equation: % 21.93/5.67 | (510) e4 = e0 % 21.93/5.67 | % 21.93/5.67 | Equations (510) can reduce 17 to: % 21.93/5.67 | (251) $false % 21.93/5.67 | % 21.93/5.67 |-The branch is then unsatisfiable % 21.93/5.67 |-Branch two: % 21.93/5.67 | (3137) all_0_70_70 = e4 & ~ (all_0_68_68 = e2) % 21.93/5.67 | % 21.93/5.67 | Applying alpha-rule on (3137) yields: % 21.93/5.67 | (500) all_0_70_70 = e4 % 21.93/5.67 | (987) ~ (all_0_68_68 = e2) % 21.93/5.67 | % 21.93/5.67 | Equations (729) can reduce 987 to: % 21.93/5.67 | (251) $false % 21.93/5.67 | % 21.93/5.67 |-The branch is then unsatisfiable % 21.93/5.67 |-Branch two: % 21.93/5.67 | (1156) ~ (all_0_69_69 = e0) % 21.93/5.67 | (2080) all_0_70_70 = e0 | all_0_71_71 = e0 % 21.93/5.67 | % 21.93/5.67 +-Applying beta-rule and splitting (2080), into two cases. % 21.93/5.67 |-Branch one: % 21.93/5.67 | (1323) all_0_70_70 = e0 % 21.93/5.67 | % 21.93/5.67 | Combining equations (500,1323) yields a new equation: % 21.93/5.67 | (531) e4 = e0 % 21.93/5.67 | % 21.93/5.67 | Simplifying 531 yields: % 21.93/5.67 | (510) e4 = e0 % 21.93/5.67 | % 21.93/5.67 | Equations (510) can reduce 17 to: % 21.93/5.67 | (251) $false % 21.93/5.67 | % 21.93/5.67 |-The branch is then unsatisfiable % 21.93/5.67 |-Branch two: % 21.93/5.67 | (471) ~ (all_0_70_70 = e0) % 21.93/5.67 | (469) all_0_71_71 = e0 % 21.93/5.67 | % 21.93/5.67 | Combining equations (469,558) yields a new equation: % 21.93/5.67 | (391) e3 = e0 % 21.93/5.67 | % 21.93/5.67 | Equations (391) can reduce 36 to: % 21.93/5.67 | (251) $false % 21.93/5.67 | % 21.93/5.67 |-The branch is then unsatisfiable % 21.93/5.67 |-Branch two: % 21.93/5.67 | (1246) ~ (all_0_65_65 = e4) % 21.93/5.67 | (1247) all_0_66_66 = e4 | all_0_67_67 = e4 % 21.93/5.67 | % 21.93/5.67 +-Applying beta-rule and splitting (227), into two cases. % 21.93/5.67 |-Branch one: % 21.93/5.67 | (1243) all_0_65_65 = e4 % 21.93/5.67 | % 21.93/5.67 | Equations (1243) can reduce 1246 to: % 21.93/5.67 | (251) $false % 21.93/5.67 | % 21.93/5.67 |-The branch is then unsatisfiable % 21.93/5.67 |-Branch two: % 21.93/5.67 | (1246) ~ (all_0_65_65 = e4) % 21.93/5.67 | (1802) all_0_65_65 = e1 | all_0_65_65 = e0 % 21.93/5.67 | % 21.93/5.67 +-Applying beta-rule and splitting (1802), into two cases. % 21.93/5.67 |-Branch one: % 21.93/5.67 | (619) all_0_65_65 = e1 % 21.93/5.67 | % 21.93/5.67 | Equations (619) can reduce 308 to: % 21.93/5.67 | (251) $false % 21.93/5.67 | % 21.93/5.67 |-The branch is then unsatisfiable % 21.93/5.67 |-Branch two: % 21.93/5.67 | (308) ~ (all_0_65_65 = e1) % 21.93/5.67 | (1448) all_0_65_65 = e0 % 21.93/5.67 | % 21.93/5.67 | Equations (1448) can reduce 73 to: % 21.93/5.67 | (1155) ~ (all_0_69_69 = e0) % 21.93/5.67 | % 21.93/5.67 | Simplifying 1155 yields: % 21.93/5.67 | (1156) ~ (all_0_69_69 = e0) % 21.93/5.67 | % 21.93/5.67 +-Applying beta-rule and splitting (1477), into two cases. % 21.93/5.67 |-Branch one: % 21.93/5.67 | (344) all_0_69_69 = e2 % 21.93/5.67 | % 21.93/5.67 | Equations (344) can reduce 731 to: % 21.93/5.67 | (251) $false % 21.93/5.67 | % 21.93/5.67 |-The branch is then unsatisfiable % 21.93/5.67 |-Branch two: % 21.93/5.67 | (731) ~ (all_0_69_69 = e2) % 21.93/5.67 | (1481) all_0_69_69 = e0 % 21.93/5.67 | % 21.93/5.67 | Equations (1481) can reduce 1156 to: % 21.93/5.67 | (251) $false % 21.93/5.67 | % 21.93/5.67 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (567) ~ (all_0_70_70 = e4) % 21.93/5.68 | (552) all_0_71_71 = e4 % 21.93/5.68 | % 21.93/5.68 | Combining equations (552,558) yields a new equation: % 21.93/5.68 | (1463) e4 = e3 % 21.93/5.68 | % 21.93/5.68 | Simplifying 1463 yields: % 21.93/5.68 | (935) e4 = e3 % 21.93/5.68 | % 21.93/5.68 | Equations (935) can reduce 130 to: % 21.93/5.68 | (251) $false % 21.93/5.68 | % 21.93/5.68 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (1519) ~ (all_0_56_56 = e0) % 21.93/5.68 | (1520) all_0_60_60 = e0 | all_0_64_64 = e0 | all_0_68_68 = e0 % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (1520), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (1119) all_0_60_60 = e0 % 21.93/5.68 | % 21.93/5.68 | Combining equations (647,1119) yields a new equation: % 21.93/5.68 | (287) e1 = e0 % 21.93/5.68 | % 21.93/5.68 | Simplifying 287 yields: % 21.93/5.68 | (288) e1 = e0 % 21.93/5.68 | % 21.93/5.68 | Equations (288) can reduce 204 to: % 21.93/5.68 | (251) $false % 21.93/5.68 | % 21.93/5.68 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (267) ~ (all_0_60_60 = e0) % 21.93/5.68 | (1524) all_0_64_64 = e0 | all_0_68_68 = e0 % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (1524), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (643) all_0_64_64 = e0 % 21.93/5.68 | % 21.93/5.68 | Combining equations (302,643) yields a new equation: % 21.93/5.68 | (390) e3 = e0 % 21.93/5.68 | % 21.93/5.68 | Simplifying 390 yields: % 21.93/5.68 | (391) e3 = e0 % 21.93/5.68 | % 21.93/5.68 | Equations (391) can reduce 36 to: % 21.93/5.68 | (251) $false % 21.93/5.68 | % 21.93/5.68 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (269) ~ (all_0_64_64 = e0) % 21.93/5.68 | (988) all_0_68_68 = e0 % 21.93/5.68 | % 21.93/5.68 | Combining equations (729,988) yields a new equation: % 21.93/5.68 | (354) e2 = e0 % 21.93/5.68 | % 21.93/5.68 | Simplifying 354 yields: % 21.93/5.68 | (355) e2 = e0 % 21.93/5.68 | % 21.93/5.68 | Equations (355) can reduce 48 to: % 21.93/5.68 | (251) $false % 21.93/5.68 | % 21.93/5.68 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (635) ~ (all_0_57_57 = e1) % 21.93/5.68 | (323) all_0_58_58 = e1 % 21.93/5.68 | % 21.93/5.68 | Combining equations (323,395) yields a new equation: % 21.93/5.68 | (661) e3 = e1 % 21.93/5.68 | % 21.93/5.68 | Equations (661) can reduce 15 to: % 21.93/5.68 | (251) $false % 21.93/5.68 | % 21.93/5.68 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (651) ~ (all_0_60_60 = e1) % 21.93/5.68 | (306) all_0_64_64 = e1 % 21.93/5.68 | % 21.93/5.68 | Combining equations (306,302) yields a new equation: % 21.93/5.68 | (661) e3 = e1 % 21.93/5.68 | % 21.93/5.68 | Equations (661) can reduce 15 to: % 21.93/5.68 | (251) $false % 21.93/5.68 | % 21.93/5.68 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (621) ~ (all_0_58_58 = e3) % 21.93/5.68 | (758) all_0_66_66 = e3 | all_0_70_70 = e3 % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (758), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (538) all_0_66_66 = e3 % 21.93/5.68 | % 21.93/5.68 | Equations (538) can reduce 542 to: % 21.93/5.68 | (251) $false % 21.93/5.68 | % 21.93/5.68 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (542) ~ (all_0_66_66 = e3) % 21.93/5.68 | (597) all_0_70_70 = e3 % 21.93/5.68 | % 21.93/5.68 | Equations (597) can reduce 397 to: % 21.93/5.68 | (251) $false % 21.93/5.68 | % 21.93/5.68 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (293) ~ (all_0_64_64 = e3) % 21.93/5.68 | (292) all_0_68_68 = e3 % 21.93/5.68 | % 21.93/5.68 | Combining equations (729,292) yields a new equation: % 21.93/5.68 | (376) e3 = e2 % 21.93/5.68 | % 21.93/5.68 | Equations (376) can reduce 128 to: % 21.93/5.68 | (251) $false % 21.93/5.68 | % 21.93/5.68 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (258) all_0_56_56 = e1 % 21.93/5.68 | (556) ~ (all_0_71_71 = e4) % 21.93/5.68 | % 21.93/5.68 | Equations (258) can reduce 50 to: % 21.93/5.68 | (3930) ~ (all_0_57_57 = e1) % 21.93/5.68 | % 21.93/5.68 | Simplifying 3930 yields: % 21.93/5.68 | (635) ~ (all_0_57_57 = e1) % 21.93/5.68 | % 21.93/5.68 | Equations (258) can reduce 114 to: % 21.93/5.68 | (6557) ~ (all_0_60_60 = e1) % 21.93/5.68 | % 21.93/5.68 | Simplifying 6557 yields: % 21.93/5.68 | (651) ~ (all_0_60_60 = e1) % 21.93/5.68 | % 21.93/5.68 | Equations (258) can reduce 247 to: % 21.93/5.68 | (328) ~ (e2 = e1) % 21.93/5.68 | % 21.93/5.68 | Simplifying 328 yields: % 21.93/5.68 | (184) ~ (e2 = e1) % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (230), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (313) all_0_57_57 = e1 % 21.93/5.68 | % 21.93/5.68 | Equations (313) can reduce 635 to: % 21.93/5.68 | (251) $false % 21.93/5.68 | % 21.93/5.68 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (635) ~ (all_0_57_57 = e1) % 21.93/5.68 | (636) all_0_61_61 = e1 | all_0_65_65 = e1 % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (636), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (523) all_0_61_61 = e1 % 21.93/5.68 | % 21.93/5.68 | Combining equations (341,523) yields a new equation: % 21.93/5.68 | (336) e2 = e1 % 21.93/5.68 | % 21.93/5.68 | Simplifying 336 yields: % 21.93/5.68 | (337) e2 = e1 % 21.93/5.68 | % 21.93/5.68 | Equations (337) can reduce 184 to: % 21.93/5.68 | (251) $false % 21.93/5.68 | % 21.93/5.68 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (246) ~ (all_0_61_61 = e1) % 21.93/5.68 | (619) all_0_65_65 = e1 % 21.93/5.68 | % 21.93/5.68 | Equations (619) can reduce 73 to: % 21.93/5.68 | (318) ~ (all_0_69_69 = e1) % 21.93/5.68 | % 21.93/5.68 | Simplifying 318 yields: % 21.93/5.68 | (156) ~ (all_0_69_69 = e1) % 21.93/5.68 | % 21.93/5.68 | Equations (619) can reduce 75 to: % 21.93/5.68 | (736) ~ (e3 = e1) % 21.93/5.68 | % 21.93/5.68 | Simplifying 736 yields: % 21.93/5.68 | (15) ~ (e3 = e1) % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (68), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (278) all_0_60_60 = e2 % 21.93/5.68 | % 21.93/5.68 | Equations (278) can reduce 666 to: % 21.93/5.68 | (251) $false % 21.93/5.68 | % 21.93/5.68 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (666) ~ (all_0_60_60 = e2) % 21.93/5.68 | (667) all_0_60_60 = e1 | all_0_60_60 = e0 % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (149), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (509) all_0_61_61 = e4 % 21.93/5.68 | % 21.93/5.68 | Combining equations (509,341) yields a new equation: % 21.93/5.68 | (479) e4 = e2 % 21.93/5.68 | % 21.93/5.68 | Simplifying 479 yields: % 21.93/5.68 | (480) e4 = e2 % 21.93/5.68 | % 21.93/5.68 | Equations (480) can reduce 49 to: % 21.93/5.68 | (251) $false % 21.93/5.68 | % 21.93/5.68 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (512) ~ (all_0_61_61 = e4) % 21.93/5.68 | (1976) all_0_65_65 = e4 | all_0_69_69 = e4 % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (209), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (250) all_0_56_56 = e3 % 21.93/5.68 | % 21.93/5.68 | Combining equations (258,250) yields a new equation: % 21.93/5.68 | (661) e3 = e1 % 21.93/5.68 | % 21.93/5.68 | Equations (661) can reduce 15 to: % 21.93/5.68 | (251) $false % 21.93/5.68 | % 21.93/5.68 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (249) ~ (all_0_56_56 = e3) % 21.93/5.68 | (394) all_0_58_58 = e3 | all_0_59_59 = e3 % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (394), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (395) all_0_58_58 = e3 % 21.93/5.68 | % 21.93/5.68 | Equations (395) can reduce 180 to: % 21.93/5.68 | (5329) ~ (all_0_62_62 = e3) % 21.93/5.68 | % 21.93/5.68 | Simplifying 5329 yields: % 21.93/5.68 | (41) ~ (all_0_62_62 = e3) % 21.93/5.68 | % 21.93/5.68 | Equations (395) can reduce 224 to: % 21.93/5.68 | (396) ~ (all_0_70_70 = e3) % 21.93/5.68 | % 21.93/5.68 | Simplifying 396 yields: % 21.93/5.68 | (397) ~ (all_0_70_70 = e3) % 21.93/5.68 | % 21.93/5.68 | Equations (395) can reduce 77 to: % 21.93/5.68 | (128) ~ (e3 = e2) % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (667), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (647) all_0_60_60 = e1 % 21.93/5.68 | % 21.93/5.68 | Equations (647) can reduce 651 to: % 21.93/5.68 | (251) $false % 21.93/5.68 | % 21.93/5.68 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (651) ~ (all_0_60_60 = e1) % 21.93/5.68 | (1119) all_0_60_60 = e0 % 21.93/5.68 | % 21.93/5.68 | Equations (1119) can reduce 168 to: % 21.93/5.68 | (1149) ~ (all_0_62_62 = e0) % 21.93/5.68 | % 21.93/5.68 | Simplifying 1149 yields: % 21.93/5.68 | (838) ~ (all_0_62_62 = e0) % 21.93/5.68 | % 21.93/5.68 | Equations (1119) can reduce 76 to: % 21.93/5.68 | (1151) ~ (all_0_63_63 = e0) % 21.93/5.68 | % 21.93/5.68 | Simplifying 1151 yields: % 21.93/5.68 | (470) ~ (all_0_63_63 = e0) % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (140), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (498) all_0_63_63 = e4 % 21.93/5.68 | % 21.93/5.68 | Equations (498) can reduce 70 to: % 21.93/5.68 | (920) ~ (all_0_62_62 = e4) % 21.93/5.68 | % 21.93/5.68 | Equations (498) can reduce 116 to: % 21.93/5.68 | (1580) ~ (all_0_67_67 = e4) % 21.93/5.68 | % 21.93/5.68 | Simplifying 1580 yields: % 21.93/5.68 | (1581) ~ (all_0_67_67 = e4) % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (53), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (845) all_0_62_62 = e4 % 21.93/5.68 | % 21.93/5.68 | Equations (845) can reduce 920 to: % 21.93/5.68 | (251) $false % 21.93/5.68 | % 21.93/5.68 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (920) ~ (all_0_62_62 = e4) % 21.93/5.68 | (921) all_0_62_62 = e1 | all_0_62_62 = e0 % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (921), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (327) all_0_62_62 = e1 % 21.93/5.68 | % 21.93/5.68 | Equations (327) can reduce 920 to: % 21.93/5.68 | (2010) ~ (e4 = e1) % 21.93/5.68 | % 21.93/5.68 | Simplifying 2010 yields: % 21.93/5.68 | (193) ~ (e4 = e1) % 21.93/5.68 | % 21.93/5.68 | Equations (327) can reduce 41 to: % 21.93/5.68 | (736) ~ (e3 = e1) % 21.93/5.68 | % 21.93/5.68 | Simplifying 736 yields: % 21.93/5.68 | (15) ~ (e3 = e1) % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (27), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (250) all_0_56_56 = e3 % 21.93/5.68 | % 21.93/5.68 | Combining equations (250,258) yields a new equation: % 21.93/5.68 | (660) e3 = e1 % 21.93/5.68 | % 21.93/5.68 | Simplifying 660 yields: % 21.93/5.68 | (661) e3 = e1 % 21.93/5.68 | % 21.93/5.68 | Equations (661) can reduce 15 to: % 21.93/5.68 | (251) $false % 21.93/5.68 | % 21.93/5.68 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (249) ~ (all_0_56_56 = e3) % 21.93/5.68 | (658) all_0_64_64 = e3 | all_0_68_68 = e3 % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (33), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (292) all_0_68_68 = e3 % 21.93/5.68 | % 21.93/5.68 | Combining equations (292,729) yields a new equation: % 21.93/5.68 | (1620) e3 = e2 % 21.93/5.68 | % 21.93/5.68 | Simplifying 1620 yields: % 21.93/5.68 | (376) e3 = e2 % 21.93/5.68 | % 21.93/5.68 | Equations (376) can reduce 128 to: % 21.93/5.68 | (251) $false % 21.93/5.68 | % 21.93/5.68 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (645) ~ (all_0_68_68 = e3) % 21.93/5.68 | (1050) all_0_70_70 = e3 | all_0_71_71 = e3 % 21.93/5.68 | % 21.93/5.68 | Equations (729) can reduce 645 to: % 21.93/5.68 | (345) ~ (e3 = e2) % 21.93/5.68 | % 21.93/5.68 | Simplifying 345 yields: % 21.93/5.68 | (128) ~ (e3 = e2) % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (658), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (302) all_0_64_64 = e3 % 21.93/5.68 | % 21.93/5.68 | Equations (302) can reduce 196 to: % 21.93/5.68 | (770) ~ (all_0_67_67 = e3) % 21.93/5.68 | % 21.93/5.68 | Simplifying 770 yields: % 21.93/5.68 | (629) ~ (all_0_67_67 = e3) % 21.93/5.68 | % 21.93/5.68 | Equations (302) can reduce 198 to: % 21.93/5.68 | (128) ~ (e3 = e2) % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (3), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (478) all_0_69_69 = e4 % 21.93/5.68 | % 21.93/5.68 | Equations (478) can reduce 221 to: % 21.93/5.68 | (1236) ~ (all_0_70_70 = e4) % 21.93/5.68 | % 21.93/5.68 | Simplifying 1236 yields: % 21.93/5.68 | (567) ~ (all_0_70_70 = e4) % 21.93/5.68 | % 21.93/5.68 | Equations (478) can reduce 156 to: % 21.93/5.68 | (193) ~ (e4 = e1) % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (181), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (500) all_0_70_70 = e4 % 21.93/5.68 | % 21.93/5.68 | Equations (500) can reduce 567 to: % 21.93/5.68 | (251) $false % 21.93/5.68 | % 21.93/5.68 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (567) ~ (all_0_70_70 = e4) % 21.93/5.68 | (1273) all_0_70_70 = e3 | all_0_70_70 = e0 % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (10), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (1251) all_0_67_67 = e4 % 21.93/5.68 | % 21.93/5.68 | Equations (1251) can reduce 1581 to: % 21.93/5.68 | (251) $false % 21.93/5.68 | % 21.93/5.68 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (1581) ~ (all_0_67_67 = e4) % 21.93/5.68 | (1634) all_0_67_67 = e3 | all_0_67_67 = e0 % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (42), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (845) all_0_62_62 = e4 % 21.93/5.68 | % 21.93/5.68 | Combining equations (845,327) yields a new equation: % 21.93/5.68 | (2018) e4 = e1 % 21.93/5.68 | % 21.93/5.68 | Simplifying 2018 yields: % 21.93/5.68 | (1244) e4 = e1 % 21.93/5.68 | % 21.93/5.68 | Equations (1244) can reduce 193 to: % 21.93/5.68 | (251) $false % 21.93/5.68 | % 21.93/5.68 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (920) ~ (all_0_62_62 = e4) % 21.93/5.68 | (2296) all_0_66_66 = e4 | all_0_70_70 = e4 % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (207), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (375) all_0_59_59 = e3 % 21.93/5.68 | % 21.93/5.68 | Combining equations (364,375) yields a new equation: % 21.93/5.68 | (376) e3 = e2 % 21.93/5.68 | % 21.93/5.68 | Equations (376) can reduce 128 to: % 21.93/5.68 | (251) $false % 21.93/5.68 | % 21.93/5.68 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (378) ~ (all_0_59_59 = e3) % 21.93/5.68 | (379) all_0_67_67 = e3 | all_0_71_71 = e3 % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (1273), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (597) all_0_70_70 = e3 % 21.93/5.68 | % 21.93/5.68 | Equations (597) can reduce 397 to: % 21.93/5.68 | (251) $false % 21.93/5.68 | % 21.93/5.68 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (397) ~ (all_0_70_70 = e3) % 21.93/5.68 | (1323) all_0_70_70 = e0 % 21.93/5.68 | % 21.93/5.68 | Equations (1323) can reduce 94 to: % 21.93/5.68 | (1531) ~ (all_0_71_71 = e0) % 21.93/5.68 | % 21.93/5.68 | Simplifying 1531 yields: % 21.93/5.68 | (1532) ~ (all_0_71_71 = e0) % 21.93/5.68 | % 21.93/5.68 | Equations (1323) can reduce 567 to: % 21.93/5.68 | (514) ~ (e4 = e0) % 21.93/5.68 | % 21.93/5.68 | Simplifying 514 yields: % 21.93/5.68 | (17) ~ (e4 = e0) % 21.93/5.68 | % 21.93/5.68 | Equations (1323) can reduce 7 to: % 21.93/5.68 | (274) ~ (e2 = e0) % 21.93/5.68 | % 21.93/5.68 | Simplifying 274 yields: % 21.93/5.68 | (48) ~ (e2 = e0) % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (379), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (380) all_0_67_67 = e3 % 21.93/5.68 | % 21.93/5.68 | Equations (380) can reduce 629 to: % 21.93/5.68 | (251) $false % 21.93/5.68 | % 21.93/5.68 |-The branch is then unsatisfiable % 21.93/5.68 |-Branch two: % 21.93/5.68 | (629) ~ (all_0_67_67 = e3) % 21.93/5.68 | (558) all_0_71_71 = e3 % 21.93/5.68 | % 21.93/5.68 | Equations (558) can reduce 1532 to: % 21.93/5.68 | (36) ~ (e3 = e0) % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (107), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (2384) ( ~ (all_0_56_56 = e3) & ~ (all_0_66_66 = e3) & ~ (all_0_71_71 = e3)) | ( ~ (all_0_56_56 = e2) & ~ (all_0_61_61 = e2) & ~ (all_0_71_71 = e2)) | ( ~ (all_0_56_56 = e1) & ~ (all_0_61_61 = e1) & ~ (all_0_66_66 = e1)) % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (2384), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (2385) ( ~ (all_0_56_56 = e3) & ~ (all_0_66_66 = e3) & ~ (all_0_71_71 = e3)) | ( ~ (all_0_56_56 = e2) & ~ (all_0_61_61 = e2) & ~ (all_0_71_71 = e2)) % 21.93/5.68 | % 21.93/5.68 +-Applying beta-rule and splitting (2385), into two cases. % 21.93/5.68 |-Branch one: % 21.93/5.68 | (2386) ~ (all_0_56_56 = e3) & ~ (all_0_66_66 = e3) & ~ (all_0_71_71 = e3) % 21.93/5.68 | % 21.93/5.68 | Applying alpha-rule on (2386) yields: % 21.93/5.68 | (249) ~ (all_0_56_56 = e3) % 21.93/5.68 | (542) ~ (all_0_66_66 = e3) % 21.93/5.68 | (297) ~ (all_0_71_71 = e3) % 21.93/5.68 | % 21.93/5.68 | Equations (558) can reduce 297 to: % 21.93/5.68 | (251) $false % 21.93/5.69 | % 21.93/5.69 |-The branch is then unsatisfiable % 21.93/5.69 |-Branch two: % 21.93/5.69 | (2391) ~ (all_0_56_56 = e2) & ~ (all_0_61_61 = e2) & ~ (all_0_71_71 = e2) % 21.93/5.69 | % 21.93/5.69 | Applying alpha-rule on (2391) yields: % 21.93/5.69 | (247) ~ (all_0_56_56 = e2) % 21.93/5.69 | (244) ~ (all_0_61_61 = e2) % 21.93/5.69 | (370) ~ (all_0_71_71 = e2) % 21.93/5.69 | % 21.93/5.69 | Equations (341) can reduce 244 to: % 21.93/5.69 | (251) $false % 21.93/5.69 | % 21.93/5.69 |-The branch is then unsatisfiable % 21.93/5.69 |-Branch two: % 21.93/5.69 | (2396) ~ (all_0_56_56 = e1) & ~ (all_0_61_61 = e1) & ~ (all_0_66_66 = e1) % 21.93/5.69 | % 21.93/5.69 | Applying alpha-rule on (2396) yields: % 21.93/5.69 | (245) ~ (all_0_56_56 = e1) % 21.93/5.69 | (246) ~ (all_0_61_61 = e1) % 21.93/5.69 | (248) ~ (all_0_66_66 = e1) % 21.93/5.69 | % 21.93/5.69 | Equations (258) can reduce 245 to: % 21.93/5.69 | (251) $false % 21.93/5.69 | % 21.93/5.69 |-The branch is then unsatisfiable % 21.93/5.69 |-Branch two: % 21.93/5.69 | (2401) ~ (all_0_61_61 = e4) & ~ (all_0_66_66 = e4) & ~ (all_0_71_71 = e4) % 21.93/5.69 | % 21.93/5.69 | Applying alpha-rule on (2401) yields: % 21.93/5.69 | (512) ~ (all_0_61_61 = e4) % 21.93/5.69 | (534) ~ (all_0_66_66 = e4) % 21.93/5.69 | (556) ~ (all_0_71_71 = e4) % 21.93/5.69 | % 21.93/5.69 +-Applying beta-rule and splitting (145), into two cases. % 21.93/5.69 |-Branch one: % 21.93/5.69 | (1077) all_0_59_59 = e0 % 21.93/5.69 | % 21.93/5.69 | Combining equations (1077,364) yields a new equation: % 21.93/5.69 | (355) e2 = e0 % 21.93/5.69 | % 21.93/5.69 | Equations (355) can reduce 48 to: % 21.93/5.69 | (251) $false % 21.93/5.69 | % 21.93/5.69 |-The branch is then unsatisfiable % 21.93/5.69 |-Branch two: % 21.93/5.69 | (265) ~ (all_0_59_59 = e0) % 21.93/5.69 | (1786) all_0_63_63 = e0 | all_0_67_67 = e0 | all_0_71_71 = e0 % 21.93/5.69 | % 21.93/5.69 +-Applying beta-rule and splitting (111), into two cases. % 21.93/5.69 |-Branch one: % 21.93/5.69 | (643) all_0_64_64 = e0 % 21.93/5.69 | % 21.93/5.69 | Combining equations (302,643) yields a new equation: % 21.93/5.69 | (390) e3 = e0 % 21.93/5.69 | % 21.93/5.69 | Simplifying 390 yields: % 21.93/5.69 | (391) e3 = e0 % 21.93/5.69 | % 21.93/5.69 | Equations (391) can reduce 36 to: % 21.93/5.69 | (251) $false % 21.93/5.69 | % 21.93/5.69 |-The branch is then unsatisfiable % 21.93/5.69 |-Branch two: % 21.93/5.69 | (269) ~ (all_0_64_64 = e0) % 21.93/5.69 | (1447) all_0_65_65 = e0 | all_0_66_66 = e0 | all_0_67_67 = e0 % 21.93/5.69 | % 21.93/5.69 | Equations (302) can reduce 269 to: % 21.93/5.69 | (36) ~ (e3 = e0) % 21.93/5.69 | % 21.93/5.69 +-Applying beta-rule and splitting (1786), into two cases. % 21.93/5.69 |-Branch one: % 21.93/5.69 | (576) all_0_63_63 = e0 % 21.93/5.69 | % 21.93/5.69 | Combining equations (498,576) yields a new equation: % 21.93/5.69 | (531) e4 = e0 % 21.93/5.69 | % 21.93/5.69 | Simplifying 531 yields: % 21.93/5.69 | (510) e4 = e0 % 21.93/5.69 | % 21.93/5.69 | Equations (510) can reduce 17 to: % 21.93/5.69 | (251) $false % 21.93/5.69 | % 21.93/5.69 |-The branch is then unsatisfiable % 21.93/5.69 |-Branch two: % 21.93/5.69 | (470) ~ (all_0_63_63 = e0) % 21.93/5.69 | (1790) all_0_67_67 = e0 | all_0_71_71 = e0 % 21.93/5.69 | % 21.93/5.69 +-Applying beta-rule and splitting (1790), into two cases. % 21.93/5.69 |-Branch one: % 21.93/5.69 | (1458) all_0_67_67 = e0 % 21.93/5.69 | % 21.93/5.69 | Equations (1458) can reduce 1581 to: % 21.93/5.69 | (514) ~ (e4 = e0) % 21.93/5.69 | % 21.93/5.69 | Simplifying 514 yields: % 21.93/5.69 | (17) ~ (e4 = e0) % 21.93/5.69 | % 21.93/5.69 +-Applying beta-rule and splitting (23), into two cases. % 21.93/5.69 |-Branch one: % 21.93/5.69 | (530) all_0_66_66 = e4 % 21.93/5.69 | % 21.93/5.69 | Equations (530) can reduce 534 to: % 21.93/5.69 | (251) $false % 21.93/5.69 | % 21.93/5.69 |-The branch is then unsatisfiable % 21.93/5.69 |-Branch two: % 21.93/5.69 | (534) ~ (all_0_66_66 = e4) % 21.93/5.69 | (1614) all_0_66_66 = e3 | all_0_66_66 = e1 | all_0_66_66 = e0 % 21.93/5.69 | % 21.93/5.69 +-Applying beta-rule and splitting (2296), into two cases. % 21.93/5.69 |-Branch one: % 21.93/5.69 | (530) all_0_66_66 = e4 % 21.93/5.69 | % 21.93/5.69 | Equations (530) can reduce 534 to: % 21.93/5.69 | (251) $false % 21.93/5.69 | % 21.93/5.69 |-The branch is then unsatisfiable % 21.93/5.69 |-Branch two: % 21.93/5.69 | (534) ~ (all_0_66_66 = e4) % 21.93/5.69 | (500) all_0_70_70 = e4 % 21.93/5.69 | % 21.93/5.69 | Combining equations (1323,500) yields a new equation: % 21.93/5.69 | (510) e4 = e0 % 21.93/5.69 | % 21.93/5.69 | Equations (510) can reduce 17 to: % 21.93/5.69 | (251) $false % 21.93/5.69 | % 21.93/5.69 |-The branch is then unsatisfiable % 21.93/5.69 |-Branch two: % 21.93/5.69 | (1182) ~ (all_0_67_67 = e0) % 21.93/5.69 | (469) all_0_71_71 = e0 % 21.93/5.69 | % 21.93/5.69 | Combining equations (469,558) yields a new equation: % 21.93/5.69 | (391) e3 = e0 % 21.93/5.69 | % 21.93/5.69 | Equations (391) can reduce 36 to: % 21.93/5.69 | (251) $false % 21.93/5.69 | % 21.93/5.69 |-The branch is then unsatisfiable % 21.93/5.69 |-Branch two: % 21.93/5.69 | (482) ~ (all_0_69_69 = e4) % 21.93/5.69 | (1477) all_0_69_69 = e2 | all_0_69_69 = e0 % 21.93/5.69 | % 21.93/5.69 +-Applying beta-rule and splitting (1976), into two cases. % 21.93/5.69 |-Branch one: % 21.93/5.69 | (1243) all_0_65_65 = e4 % 21.93/5.69 | % 21.93/5.69 | Combining equations (619,1243) yields a new equation: % 21.93/5.69 | (1244) e4 = e1 % 21.93/5.69 | % 21.93/5.69 | Equations (1244) can reduce 193 to: % 21.93/5.69 | (251) $false % 21.93/5.69 | % 21.93/5.69 |-The branch is then unsatisfiable % 21.93/5.69 |-Branch two: % 21.93/5.69 | (1246) ~ (all_0_65_65 = e4) % 21.93/5.69 | (478) all_0_69_69 = e4 % 21.93/5.69 | % 21.93/5.69 | Equations (478) can reduce 482 to: % 21.93/5.69 | (251) $false % 21.93/5.69 | % 21.93/5.69 |-The branch is then unsatisfiable % 21.93/5.69 |-Branch two: % 21.93/5.69 | (293) ~ (all_0_64_64 = e3) % 21.93/5.69 | (292) all_0_68_68 = e3 % 21.93/5.69 | % 21.93/5.69 | Combining equations (292,729) yields a new equation: % 21.93/5.69 | (1620) e3 = e2 % 21.93/5.69 | % 21.93/5.69 | Simplifying 1620 yields: % 21.93/5.69 | (376) e3 = e2 % 21.93/5.69 | % 21.93/5.69 | Equations (376) can reduce 128 to: % 21.93/5.69 | (251) $false % 21.93/5.69 | % 21.93/5.69 |-The branch is then unsatisfiable % 21.93/5.69 |-Branch two: % 21.93/5.69 | (632) ~ (all_0_62_62 = e1) % 21.93/5.69 | (925) all_0_62_62 = e0 % 21.93/5.69 | % 21.93/5.69 | Equations (925) can reduce 838 to: % 21.93/5.69 | (251) $false % 21.93/5.69 | % 21.93/5.69 |-The branch is then unsatisfiable % 21.93/5.69 |-Branch two: % 21.93/5.69 | (571) ~ (all_0_63_63 = e4) % 21.93/5.69 | (572) all_0_63_63 = e2 | all_0_63_63 = e0 % 21.93/5.69 | % 21.93/5.69 +-Applying beta-rule and splitting (572), into two cases. % 21.93/5.69 |-Branch one: % 21.93/5.69 | (573) all_0_63_63 = e2 % 21.93/5.69 | % 21.93/5.69 | Equations (573) can reduce 366 to: % 21.93/5.69 | (251) $false % 21.93/5.69 | % 21.93/5.69 |-The branch is then unsatisfiable % 21.93/5.69 |-Branch two: % 21.93/5.69 | (366) ~ (all_0_63_63 = e2) % 21.93/5.69 | (576) all_0_63_63 = e0 % 21.93/5.69 | % 21.93/5.69 | Equations (576) can reduce 470 to: % 21.93/5.69 | (251) $false % 21.93/5.69 | % 21.93/5.69 |-The branch is then unsatisfiable % 21.93/5.69 |-Branch two: % 21.93/5.69 | (621) ~ (all_0_58_58 = e3) % 21.93/5.69 | (375) all_0_59_59 = e3 % 21.93/5.69 | % 21.93/5.69 | Combining equations (364,375) yields a new equation: % 21.93/5.69 | (376) e3 = e2 % 21.93/5.69 | % 21.93/5.69 | Equations (376) can reduce 128 to: % 21.93/5.69 | (251) $false % 21.93/5.69 | % 21.93/5.69 |-The branch is then unsatisfiable % 21.93/5.69 |-Branch two: % 21.93/5.69 | (987) ~ (all_0_68_68 = e2) % 21.93/5.69 | (1570) all_0_69_69 = e2 | all_0_71_71 = e2 % 21.93/5.69 | % 21.93/5.69 +-Applying beta-rule and splitting (1570), into two cases. % 21.93/5.69 |-Branch one: % 21.93/5.69 | (344) all_0_69_69 = e2 % 21.93/5.69 | % 21.93/5.69 | Equations (344) can reduce 731 to: % 21.93/5.69 | (251) $false % 21.93/5.69 | % 21.93/5.69 |-The branch is then unsatisfiable % 21.93/5.69 |-Branch two: % 21.93/5.69 | (731) ~ (all_0_69_69 = e2) % 21.93/5.69 | (563) all_0_71_71 = e2 % 21.93/5.69 | % 21.93/5.69 | Equations (563) can reduce 370 to: % 21.93/5.69 | (251) $false % 21.93/5.69 | % 21.93/5.69 |-The branch is then unsatisfiable % 21.93/5.69 |-Branch two: % 21.93/5.69 | (254) all_0_56_56 = e2 % 21.93/5.69 | (534) ~ (all_0_66_66 = e4) % 21.93/5.69 | % 21.93/5.69 | Equations (254) can reduce 50 to: % 21.93/5.69 | (1910) ~ (all_0_57_57 = e2) % 21.93/5.69 | % 21.93/5.69 | Simplifying 1910 yields: % 21.93/5.69 | (339) ~ (all_0_57_57 = e2) % 21.93/5.69 | % 21.93/5.69 | Equations (254) can reduce 43 to: % 21.93/5.69 | (1912) ~ (all_0_58_58 = e2) % 21.93/5.69 | % 21.93/5.69 | Simplifying 1912 yields: % 21.93/5.69 | (77) ~ (all_0_58_58 = e2) % 21.93/5.69 | % 21.93/5.69 | Equations (254) can reduce 114 to: % 21.93/5.69 | (3759) ~ (all_0_60_60 = e2) % 21.93/5.69 | % 21.93/5.69 | Simplifying 3759 yields: % 21.93/5.69 | (666) ~ (all_0_60_60 = e2) % 21.93/5.69 | % 21.93/5.69 | Equations (254) can reduce 122 to: % 21.93/5.69 | (1916) ~ (all_0_64_64 = e2) % 21.93/5.69 | % 21.93/5.69 | Simplifying 1916 yields: % 21.93/5.69 | (198) ~ (all_0_64_64 = e2) % 21.93/5.69 | % 21.93/5.69 | Equations (254) can reduce 51 to: % 21.93/5.69 | (3761) ~ (all_0_68_68 = e2) % 21.93/5.69 | % 21.93/5.69 | Simplifying 3761 yields: % 21.93/5.69 | (987) ~ (all_0_68_68 = e2) % 21.93/5.69 | % 21.93/5.69 +-Applying beta-rule and splitting (112), into two cases. % 21.93/5.69 |-Branch one: % 21.93/5.69 | (729) all_0_68_68 = e2 % 21.93/5.69 | % 21.93/5.69 | Equations (729) can reduce 987 to: % 21.93/5.69 | (251) $false % 21.93/5.69 | % 21.93/5.69 |-The branch is then unsatisfiable % 21.93/5.69 |-Branch two: % 21.93/5.69 | (987) ~ (all_0_68_68 = e2) % 21.93/5.69 | (1570) all_0_69_69 = e2 | all_0_71_71 = e2 % 21.93/5.69 | % 21.93/5.69 +-Applying beta-rule and splitting (1570), into two cases. % 21.93/5.69 |-Branch one: % 21.93/5.69 | (344) all_0_69_69 = e2 % 21.93/5.69 | % 21.93/5.69 | Equations (344) can reduce 731 to: % 21.93/5.69 | (251) $false % 21.93/5.69 | % 21.93/5.69 |-The branch is then unsatisfiable % 21.93/5.69 |-Branch two: % 21.93/5.69 | (731) ~ (all_0_69_69 = e2) % 21.93/5.69 | (563) all_0_71_71 = e2 % 21.93/5.69 | % 21.93/5.69 | Equations (563) can reduce 28 to: % 21.93/5.69 | (1029) ~ (all_0_59_59 = e2) % 21.93/5.69 | % 21.93/5.69 | Equations (563) can reduce 226 to: % 21.93/5.69 | (366) ~ (all_0_63_63 = e2) % 21.93/5.69 | % 21.93/5.69 | Equations (563) can reduce 26 to: % 21.93/5.69 | (139) ~ (all_0_67_67 = e2) % 21.93/5.69 | % 21.93/5.69 | Equations (563) can reduce 24 to: % 21.93/5.69 | (987) ~ (all_0_68_68 = e2) % 21.93/5.69 | % 21.93/5.69 | Equations (563) can reduce 47 to: % 21.93/5.69 | (731) ~ (all_0_69_69 = e2) % 21.93/5.69 | % 21.93/5.69 | Equations (563) can reduce 94 to: % 21.93/5.69 | (7) ~ (all_0_70_70 = e2) % 21.93/5.69 | % 21.93/5.69 +-Applying beta-rule and splitting (80), into two cases. % 21.93/5.69 |-Branch one: % 21.93/5.69 | (248) ~ (all_0_66_66 = e1) % 21.93/5.69 | % 21.93/5.69 +-Applying beta-rule and splitting (23), into two cases. % 21.93/5.69 |-Branch one: % 21.93/5.69 | (530) all_0_66_66 = e4 % 21.93/5.69 | % 21.93/5.69 | Equations (530) can reduce 534 to: % 21.93/5.69 | (251) $false % 21.93/5.69 | % 21.93/5.69 |-The branch is then unsatisfiable % 21.93/5.69 |-Branch two: % 21.93/5.69 | (534) ~ (all_0_66_66 = e4) % 21.93/5.69 | (1614) all_0_66_66 = e3 | all_0_66_66 = e1 | all_0_66_66 = e0 % 21.93/5.69 | % 21.93/5.69 +-Applying beta-rule and splitting (1614), into two cases. % 21.93/5.69 |-Branch one: % 21.93/5.69 | (538) all_0_66_66 = e3 % 21.93/5.69 | % 21.93/5.69 | Equations (538) can reduce 542 to: % 21.93/5.69 | (251) $false % 21.93/5.69 | % 21.93/5.69 |-The branch is then unsatisfiable % 21.93/5.69 |-Branch two: % 21.93/5.69 | (542) ~ (all_0_66_66 = e3) % 21.93/5.69 | (1761) all_0_66_66 = e1 | all_0_66_66 = e0 % 21.93/5.69 | % 21.93/5.69 +-Applying beta-rule and splitting (1761), into two cases. % 21.93/5.69 |-Branch one: % 21.93/5.69 | (546) all_0_66_66 = e1 % 21.93/5.69 | % 21.93/5.69 | Equations (546) can reduce 248 to: % 21.93/5.69 | (251) $false % 21.93/5.69 | % 21.93/5.69 |-The branch is then unsatisfiable % 21.93/5.69 |-Branch two: % 21.93/5.69 | (248) ~ (all_0_66_66 = e1) % 21.93/5.69 | (468) all_0_66_66 = e0 % 21.93/5.69 | % 21.93/5.69 | Equations (468) can reduce 216 to: % 21.93/5.69 | (263) ~ (all_0_58_58 = e0) % 21.93/5.69 | % 21.93/5.69 | Equations (468) can reduce 135 to: % 21.93/5.69 | (838) ~ (all_0_62_62 = e0) % 21.93/5.69 | % 21.93/5.69 | Equations (468) can reduce 100 to: % 21.93/5.69 | (269) ~ (all_0_64_64 = e0) % 21.93/5.69 | % 21.93/5.69 | Equations (468) can reduce 66 to: % 21.93/5.69 | (1154) ~ (all_0_65_65 = e0) % 21.93/5.69 | % 21.93/5.69 | Equations (468) can reduce 85 to: % 21.93/5.69 | (1181) ~ (all_0_67_67 = e0) % 21.93/5.69 | % 21.93/5.69 | Simplifying 1181 yields: % 21.93/5.69 | (1182) ~ (all_0_67_67 = e0) % 21.93/5.69 | % 21.93/5.69 | Equations (468) can reduce 82 to: % 21.93/5.69 | (2944) ~ (all_0_70_70 = e0) % 21.93/5.69 | % 21.93/5.69 | Simplifying 2944 yields: % 21.93/5.69 | (471) ~ (all_0_70_70 = e0) % 21.93/5.69 | % 21.93/5.69 | Equations (468) can reduce 534 to: % 21.93/5.69 | (514) ~ (e4 = e0) % 21.93/5.69 | % 21.93/5.69 | Simplifying 514 yields: % 21.93/5.69 | (17) ~ (e4 = e0) % 21.93/5.69 | % 21.93/5.69 | Equations (468) can reduce 542 to: % 21.93/5.69 | (272) ~ (e3 = e0) % 21.93/5.69 | % 21.93/5.69 | Simplifying 272 yields: % 21.93/5.69 | (36) ~ (e3 = e0) % 21.93/5.69 | % 21.93/5.69 +-Applying beta-rule and splitting (138), into two cases. % 21.93/5.69 |-Branch one: % 21.93/5.69 | (1243) all_0_65_65 = e4 % 21.93/5.69 | % 21.93/5.69 | Equations (1243) can reduce 164 to: % 21.93/5.69 | (1580) ~ (all_0_67_67 = e4) % 21.93/5.69 | % 21.93/5.69 | Simplifying 1580 yields: % 21.93/5.69 | (1581) ~ (all_0_67_67 = e4) % 21.93/5.69 | % 21.93/5.69 | Equations (1243) can reduce 73 to: % 21.93/5.69 | (2924) ~ (all_0_69_69 = e4) % 21.93/5.69 | % 21.93/5.69 | Simplifying 2924 yields: % 21.93/5.69 | (482) ~ (all_0_69_69 = e4) % 21.93/5.69 | % 21.93/5.69 | Equations (1243) can reduce 101 to: % 21.93/5.69 | (49) ~ (e4 = e2) % 21.93/5.69 | % 21.93/5.69 | From (1243) and (188) follows: % 21.93/5.69 | (5302) op(e4, e3) = all_0_17_17 % 21.93/5.69 | % 21.93/5.69 | From (1243) and (21) follows: % 21.93/5.69 | (5304) op(e3, e4) = all_0_38_38 % 21.93/5.69 | % 21.93/5.69 | From (1243) and (6) follows: % 21.93/5.70 | (5306) op(e2, e3) = e4 % 21.93/5.70 | % 21.93/5.70 +-Applying beta-rule and splitting (230), into two cases. % 21.93/5.70 |-Branch one: % 21.93/5.70 | (313) all_0_57_57 = e1 % 21.93/5.70 | % 21.93/5.70 | Equations (313) can reduce 233 to: % 21.93/5.70 | (1850) ~ (all_0_59_59 = e1) % 21.93/5.70 | % 21.93/5.70 | Simplifying 1850 yields: % 21.93/5.70 | (171) ~ (all_0_59_59 = e1) % 21.93/5.70 | % 21.93/5.70 | From (313) and (243) follows: % 21.93/5.70 | (1491) op(e1, e4) = all_0_1_1 % 21.93/5.70 | % 21.93/5.70 | From (313) and (134) follows: % 21.93/5.70 | (320) op(e1, e3) = all_0_2_2 % 21.93/5.70 | % 21.93/5.70 | From (313) and (137) follows: % 21.93/5.70 | (1492) op(e4, e1) = all_0_36_36 % 21.93/5.70 | % 21.93/5.70 | From (313) and (197) follows: % 21.93/5.70 | (321) op(e4, e3) = e1 % 21.93/5.70 | % 21.93/5.70 | From (313) and (67) follows: % 21.93/5.70 | (322) op(e3, e1) = all_0_35_35 % 21.93/5.70 | % 21.93/5.70 +-Applying beta-rule and splitting (167), into two cases. % 21.93/5.70 |-Branch one: % 21.93/5.70 | (395) all_0_58_58 = e3 % 21.93/5.70 | % 21.93/5.70 | Equations (395) can reduce 224 to: % 21.93/5.70 | (396) ~ (all_0_70_70 = e3) % 21.93/5.70 | % 21.93/5.70 | Simplifying 396 yields: % 21.93/5.70 | (397) ~ (all_0_70_70 = e3) % 21.93/5.70 | % 21.93/5.70 | Equations (395) can reduce 77 to: % 21.93/5.70 | (128) ~ (e3 = e2) % 21.93/5.70 | % 21.93/5.70 | Equations (395) can reduce 263 to: % 21.93/5.70 | (36) ~ (e3 = e0) % 21.93/5.70 | % 21.93/5.70 | From (395) and (159) follows: % 21.93/5.70 | (5335) op(e3, e4) = all_0_3_3 % 21.93/5.70 | % 21.93/5.70 | From (395) and (90) follows: % 21.93/5.70 | (5337) op(e4, e3) = all_0_43_43 % 21.93/5.70 | % 21.93/5.70 | From (395) and (192) follows: % 21.93/5.70 | (399) op(e2, e3) = all_0_42_42 % 21.93/5.70 | % 21.93/5.70 +-Applying beta-rule and splitting (33), into two cases. % 21.93/5.70 |-Branch one: % 21.93/5.70 | (292) all_0_68_68 = e3 % 21.93/5.70 | % 21.93/5.70 | Equations (292) can reduce 83 to: % 21.93/5.70 | (46) ~ (all_0_60_60 = e3) % 21.93/5.70 | % 21.93/5.70 | Equations (292) can reduce 155 to: % 21.93/5.70 | (293) ~ (all_0_64_64 = e3) % 21.93/5.70 | % 21.93/5.70 | From (292) and (240) follows: % 21.93/5.70 | (6842) op(e3, e4) = all_0_22_22 % 21.93/5.70 | % 21.93/5.70 | From (292) and (113) follows: % 21.93/5.70 | (299) op(e3, e1) = all_0_21_21 % 21.93/5.70 | % 21.93/5.70 | From (292) and (190) follows: % 21.93/5.70 | (300) op(e4, e3) = all_0_33_33 % 21.93/5.70 | % 21.93/5.70 | From (292) and (223) follows: % 21.93/5.70 | (301) op(e1, e3) = all_0_34_34 % 21.93/5.70 | % 21.93/5.70 | From (292) and (37) follows: % 21.93/5.70 | (2449) op(e1, e4) = e3 % 21.93/5.70 | % 21.93/5.70 +-Applying beta-rule and splitting (170), into two cases. % 21.93/5.70 |-Branch one: % 21.93/5.70 | (302) all_0_64_64 = e3 % 21.93/5.70 | % 21.93/5.70 | Equations (302) can reduce 293 to: % 21.93/5.70 | (251) $false % 21.93/5.70 | % 21.93/5.70 |-The branch is then unsatisfiable % 21.93/5.70 |-Branch two: % 21.93/5.70 | (293) ~ (all_0_64_64 = e3) % 21.93/5.70 | (1266) all_0_66_66 = e3 | all_0_67_67 = e3 % 21.93/5.70 | % 21.93/5.70 +-Applying beta-rule and splitting (1266), into two cases. % 21.93/5.70 |-Branch one: % 21.93/5.70 | (538) all_0_66_66 = e3 % 21.93/5.70 | % 21.93/5.70 | Combining equations (468,538) yields a new equation: % 21.93/5.70 | (391) e3 = e0 % 21.93/5.70 | % 21.93/5.70 | Equations (391) can reduce 36 to: % 21.93/5.70 | (251) $false % 21.93/5.70 | % 21.93/5.70 |-The branch is then unsatisfiable % 21.93/5.70 |-Branch two: % 21.93/5.70 | (542) ~ (all_0_66_66 = e3) % 21.93/5.70 | (380) all_0_67_67 = e3 % 21.93/5.70 | % 21.93/5.70 | Equations (380) can reduce 22 to: % 21.93/5.70 | (378) ~ (all_0_59_59 = e3) % 21.93/5.70 | % 21.93/5.70 | From (380) and (52) follows: % 21.93/5.70 | (385) op(e3, e1) = all_0_20_20 % 21.93/5.70 | % 21.93/5.70 | From (380) and (173) follows: % 21.93/5.70 | (386) op(e2, e3) = all_0_54_54 % 21.93/5.70 | % 21.93/5.70 +-Applying beta-rule and splitting (157), into two cases. % 21.93/5.70 |-Branch one: % 21.93/5.70 | (478) all_0_69_69 = e4 % 21.93/5.70 | % 21.93/5.70 | Equations (478) can reduce 482 to: % 21.93/5.70 | (251) $false % 21.93/5.70 | % 21.93/5.70 |-The branch is then unsatisfiable % 21.93/5.70 |-Branch two: % 21.93/5.70 | (482) ~ (all_0_69_69 = e4) % 21.93/5.70 | (483) all_0_70_70 = e4 | all_0_71_71 = e4 % 21.93/5.70 | % 21.93/5.70 +-Applying beta-rule and splitting (483), into two cases. % 21.93/5.70 |-Branch one: % 21.93/5.70 | (500) all_0_70_70 = e4 % 21.93/5.70 | % 21.93/5.70 | Equations (500) can reduce 208 to: % 21.93/5.70 | (920) ~ (all_0_62_62 = e4) % 21.93/5.70 | % 21.93/5.70 | Equations (500) can reduce 221 to: % 21.93/5.70 | (482) ~ (all_0_69_69 = e4) % 21.93/5.70 | % 21.93/5.70 | Equations (500) can reduce 7 to: % 21.93/5.70 | (49) ~ (e4 = e2) % 21.93/5.70 | % 21.93/5.70 | From (500) and (95) follows: % 21.93/5.70 | (1607) op(e4, e1) = all_0_25_25 % 21.93/5.70 | % 21.93/5.70 | From (500) and (241) follows: % 21.93/5.70 | (1609) op(e1, e4) = all_0_48_48 % 21.93/5.70 | % 21.93/5.70 +-Applying beta-rule and splitting (74), into two cases. % 21.93/5.70 |-Branch one: % 21.93/5.70 | (509) all_0_61_61 = e4 % 21.93/5.70 | % 21.93/5.70 | Combining equations (509,341) yields a new equation: % 21.93/5.70 | (479) e4 = e2 % 21.93/5.70 | % 21.93/5.70 | Simplifying 479 yields: % 21.93/5.70 | (480) e4 = e2 % 21.93/5.70 | % 21.93/5.70 | Equations (480) can reduce 49 to: % 21.93/5.70 | (251) $false % 21.93/5.70 | % 21.93/5.70 |-The branch is then unsatisfiable % 21.93/5.70 |-Branch two: % 21.93/5.70 | (512) ~ (all_0_61_61 = e4) % 21.93/5.70 | (2758) all_0_62_62 = e4 | all_0_63_63 = e4 % 21.93/5.70 | % 21.93/5.70 +-Applying beta-rule and splitting (3), into two cases. % 21.93/5.70 |-Branch one: % 21.93/5.70 | (478) all_0_69_69 = e4 % 21.93/5.70 | % 21.93/5.70 | Equations (478) can reduce 482 to: % 21.93/5.70 | (251) $false % 21.93/5.70 | % 21.93/5.70 |-The branch is then unsatisfiable % 21.93/5.70 |-Branch two: % 21.93/5.70 | (482) ~ (all_0_69_69 = e4) % 21.93/5.70 | (1477) all_0_69_69 = e2 | all_0_69_69 = e0 % 21.93/5.70 | % 21.93/5.70 +-Applying beta-rule and splitting (1477), into two cases. % 21.93/5.70 |-Branch one: % 21.93/5.70 | (344) all_0_69_69 = e2 % 21.93/5.70 | % 21.93/5.70 | Equations (344) can reduce 731 to: % 21.93/5.70 | (251) $false % 21.93/5.70 | % 21.93/5.70 |-The branch is then unsatisfiable % 21.93/5.70 |-Branch two: % 21.93/5.70 | (731) ~ (all_0_69_69 = e2) % 21.93/5.70 | (1481) all_0_69_69 = e0 % 21.93/5.70 | % 21.93/5.70 | Equations (1481) can reduce 482 to: % 21.93/5.70 | (514) ~ (e4 = e0) % 21.93/5.70 | % 21.93/5.70 | Simplifying 514 yields: % 21.93/5.70 | (17) ~ (e4 = e0) % 21.93/5.70 | % 21.93/5.70 | Equations (1481) can reduce 731 to: % 21.93/5.70 | (274) ~ (e2 = e0) % 21.93/5.70 | % 21.93/5.70 | Simplifying 274 yields: % 21.93/5.70 | (48) ~ (e2 = e0) % 21.93/5.70 | % 21.93/5.70 | From (1481) and (9) follows: % 21.93/5.70 | (6887) op(e1, e3) = e0 % 21.93/5.70 | % 21.93/5.70 +-Applying beta-rule and splitting (58), into two cases. % 21.93/5.70 |-Branch one: % 21.93/5.70 | (375) all_0_59_59 = e3 % 21.93/5.70 | % 21.93/5.70 | Equations (375) can reduce 378 to: % 21.93/5.70 | (251) $false % 21.93/5.70 | % 21.93/5.70 |-The branch is then unsatisfiable % 21.93/5.70 |-Branch two: % 21.93/5.70 | (378) ~ (all_0_59_59 = e3) % 21.93/5.70 | (1073) all_0_59_59 = e2 | all_0_59_59 = e0 % 21.93/5.70 | % 21.93/5.70 +-Applying beta-rule and splitting (53), into two cases. % 21.93/5.70 |-Branch one: % 21.93/5.70 | (845) all_0_62_62 = e4 % 21.93/5.70 | % 21.93/5.70 | Equations (845) can reduce 920 to: % 21.93/5.70 | (251) $false % 21.93/5.70 | % 21.93/5.70 |-The branch is then unsatisfiable % 21.93/5.70 |-Branch two: % 21.93/5.70 | (920) ~ (all_0_62_62 = e4) % 21.93/5.70 | (921) all_0_62_62 = e1 | all_0_62_62 = e0 % 21.93/5.70 | % 21.93/5.70 +-Applying beta-rule and splitting (921), into two cases. % 21.93/5.70 |-Branch one: % 21.93/5.70 | (327) all_0_62_62 = e1 % 21.93/5.70 | % 21.93/5.70 | Equations (327) can reduce 70 to: % 21.93/5.70 | (671) ~ (all_0_63_63 = e1) % 21.93/5.70 | % 21.93/5.70 | Simplifying 671 yields: % 21.93/5.70 | (119) ~ (all_0_63_63 = e1) % 21.93/5.70 | % 21.93/5.70 | Equations (327) can reduce 920 to: % 21.93/5.70 | (2010) ~ (e4 = e1) % 21.93/5.70 | % 21.93/5.70 | Simplifying 2010 yields: % 21.93/5.70 | (193) ~ (e4 = e1) % 21.93/5.70 | % 21.93/5.70 | Equations (327) can reduce 838 to: % 21.93/5.70 | (204) ~ (e1 = e0) % 21.93/5.70 | % 21.93/5.70 | From (327) and (72) follows: % 21.93/5.70 | (330) op(e1, e3) = all_0_10_10 % 21.93/5.70 | % 21.93/5.70 +-Applying beta-rule and splitting (38), into two cases. % 21.93/5.70 |-Branch one: % 21.93/5.70 | (498) all_0_63_63 = e4 % 21.93/5.70 | % 21.93/5.70 | Equations (498) can reduce 96 to: % 21.93/5.70 | (202) ~ (all_0_59_59 = e4) % 21.93/5.70 | % 21.93/5.70 | Equations (498) can reduce 76 to: % 21.93/5.70 | (4) ~ (all_0_60_60 = e4) % 21.93/5.70 | % 21.93/5.70 | Equations (498) can reduce 119 to: % 21.93/5.70 | (193) ~ (e4 = e1) % 21.93/5.70 | % 21.93/5.70 | From (498) and (62) follows: % 21.93/5.70 | (5343) op(e4, e3) = all_0_12_12 % 21.93/5.70 | % 21.93/5.70 | From (498) and (13) follows: % 21.93/5.70 | (1585) op(e4, e1) = all_0_13_13 % 21.93/5.70 | % 21.93/5.70 | From (498) and (235) follows: % 21.93/5.70 | (4192) op(e3, e4) = all_0_52_52 % 21.93/5.70 | % 21.93/5.70 | From (498) and (129) follows: % 21.93/5.70 | (1586) op(e3, e1) = e4 % 21.93/5.70 | % 21.93/5.70 | From (498) and (65) follows: % 21.93/5.70 | (1587) op(e1, e4) = all_0_51_51 % 21.93/5.70 | % 21.93/5.70 +-Applying beta-rule and splitting (166), into two cases. % 21.93/5.70 |-Branch one: % 21.93/5.70 | (306) all_0_64_64 = e1 % 21.93/5.70 | % 21.93/5.70 | Equations (306) can reduce 198 to: % 21.93/5.70 | (328) ~ (e2 = e1) % 21.93/5.70 | % 21.93/5.70 | Simplifying 328 yields: % 21.93/5.70 | (184) ~ (e2 = e1) % 21.93/5.70 | % 21.93/5.70 | Equations (306) can reduce 269 to: % 21.93/5.70 | (204) ~ (e1 = e0) % 21.93/5.70 | % 21.93/5.70 | From (306) and (179) follows: % 21.93/5.70 | (1511) op(e1, e4) = all_0_15_15 % 21.93/5.70 | % 21.93/5.70 | From (306) and (152) follows: % 21.93/5.70 | (1513) op(e4, e1) = all_0_31_31 % 21.93/5.70 | % 21.93/5.70 +-Applying beta-rule and splitting (213), into two cases. % 21.93/5.70 |-Branch one: % 21.93/5.70 | (1119) all_0_60_60 = e0 % 21.93/5.70 | % 21.93/5.70 | Equations (1119) can reduce 4 to: % 21.93/5.70 | (514) ~ (e4 = e0) % 21.93/5.70 | % 21.93/5.70 | Simplifying 514 yields: % 21.93/5.70 | (17) ~ (e4 = e0) % 21.93/5.70 | % 21.93/5.70 | Equations (1119) can reduce 46 to: % 21.93/5.70 | (272) ~ (e3 = e0) % 21.93/5.70 | % 21.93/5.70 | Simplifying 272 yields: % 21.93/5.70 | (36) ~ (e3 = e0) % 21.93/5.70 | % 21.93/5.70 | Equations (1119) can reduce 666 to: % 21.93/5.70 | (274) ~ (e2 = e0) % 21.93/5.70 | % 21.93/5.70 | Simplifying 274 yields: % 21.93/5.70 | (48) ~ (e2 = e0) % 21.93/5.70 | % 21.93/5.70 | From (1119) and (242) follows: % 21.93/5.70 | (4962) op(e3, e4) = e0 % 21.93/5.70 | % 21.93/5.70 +-Applying beta-rule and splitting (145), into two cases. % 21.93/5.70 |-Branch one: % 21.93/5.70 | (1077) all_0_59_59 = e0 % 21.93/5.70 | % 21.93/5.70 | Equations (1077) can reduce 202 to: % 21.93/5.70 | (514) ~ (e4 = e0) % 21.93/5.70 | % 21.93/5.70 | Simplifying 514 yields: % 21.93/5.70 | (17) ~ (e4 = e0) % 21.93/5.70 | % 21.93/5.70 | Equations (1077) can reduce 378 to: % 21.93/5.70 | (272) ~ (e3 = e0) % 21.93/5.70 | % 21.93/5.70 | Simplifying 272 yields: % 21.93/5.70 | (36) ~ (e3 = e0) % 21.93/5.70 | % 21.93/5.70 | Equations (1077) can reduce 1029 to: % 21.93/5.70 | (274) ~ (e2 = e0) % 21.93/5.70 | % 21.93/5.70 | Simplifying 274 yields: % 21.93/5.70 | (48) ~ (e2 = e0) % 21.93/5.70 | % 21.93/5.70 | Equations (1077) can reduce 171 to: % 21.93/5.70 | (276) ~ (e1 = e0) % 21.93/5.70 | % 21.93/5.70 | Simplifying 276 yields: % 21.93/5.70 | (204) ~ (e1 = e0) % 21.93/5.70 | % 21.93/5.70 | From (1077) and (25) follows: % 21.93/5.70 | (1185) op(e4, e1) = e0 % 21.93/5.70 | % 21.93/5.70 | Instantiating formula (61) with e4, e3, all_0_17_17, all_0_12_12 and discharging atoms op(e4, e3) = all_0_12_12, op(e4, e3) = all_0_17_17, yields: % 21.93/5.70 | (6936) all_0_12_12 = all_0_17_17 % 21.93/5.70 | % 21.93/5.70 | Instantiating formula (61) with e4, e3, all_0_33_33, all_0_17_17 and discharging atoms op(e4, e3) = all_0_17_17, op(e4, e3) = all_0_33_33, yields: % 21.93/5.70 | (5391) all_0_17_17 = all_0_33_33 % 21.93/5.70 | % 21.93/5.70 | Instantiating formula (61) with e4, e3, all_0_43_43, all_0_33_33 and discharging atoms op(e4, e3) = all_0_33_33, op(e4, e3) = all_0_43_43, yields: % 21.93/5.70 | (5418) all_0_33_33 = all_0_43_43 % 21.93/5.70 | % 21.93/5.70 | Instantiating formula (61) with e4, e3, e1, all_0_12_12 and discharging atoms op(e4, e3) = all_0_12_12, op(e4, e3) = e1, yields: % 21.93/5.70 | (789) all_0_12_12 = e1 % 21.93/5.70 | % 21.93/5.70 | Instantiating formula (61) with e4, e1, all_0_25_25, all_0_13_13 and discharging atoms op(e4, e1) = all_0_13_13, op(e4, e1) = all_0_25_25, yields: % 21.93/5.70 | (1652) all_0_13_13 = all_0_25_25 % 21.93/5.70 | % 21.93/5.70 | Instantiating formula (61) with e4, e1, all_0_31_31, all_0_13_13 and discharging atoms op(e4, e1) = all_0_13_13, op(e4, e1) = all_0_31_31, yields: % 21.93/5.70 | (1653) all_0_13_13 = all_0_31_31 % 21.93/5.70 | % 21.93/5.70 | Instantiating formula (61) with e4, e1, all_0_36_36, all_0_25_25 and discharging atoms op(e4, e1) = all_0_25_25, op(e4, e1) = all_0_36_36, yields: % 21.93/5.70 | (1654) all_0_25_25 = all_0_36_36 % 21.93/5.70 | % 21.93/5.70 | Instantiating formula (61) with e4, e1, e0, all_0_25_25 and discharging atoms op(e4, e1) = all_0_25_25, op(e4, e1) = e0, yields: % 21.93/5.70 | (6943) all_0_25_25 = e0 % 21.93/5.70 | % 21.93/5.71 | Instantiating formula (61) with e3, e4, all_0_22_22, all_0_3_3 and discharging atoms op(e3, e4) = all_0_3_3, op(e3, e4) = all_0_22_22, yields: % 21.93/5.71 | (6944) all_0_3_3 = all_0_22_22 % 21.93/5.71 | % 21.93/5.71 | Instantiating formula (61) with e3, e4, all_0_38_38, all_0_22_22 and discharging atoms op(e3, e4) = all_0_22_22, op(e3, e4) = all_0_38_38, yields: % 21.93/5.71 | (6945) all_0_22_22 = all_0_38_38 % 21.93/5.71 | % 21.93/5.71 | Instantiating formula (61) with e3, e4, all_0_52_52, all_0_38_38 and discharging atoms op(e3, e4) = all_0_38_38, op(e3, e4) = all_0_52_52, yields: % 21.93/5.71 | (6946) all_0_38_38 = all_0_52_52 % 21.93/5.71 | % 21.93/5.71 | Instantiating formula (61) with e3, e4, e0, all_0_3_3 and discharging atoms op(e3, e4) = all_0_3_3, op(e3, e4) = e0, yields: % 21.93/5.71 | (6947) all_0_3_3 = e0 % 21.93/5.71 | % 21.93/5.71 | Instantiating formula (61) with e3, e1, all_0_21_21, all_0_20_20 and discharging atoms op(e3, e1) = all_0_20_20, op(e3, e1) = all_0_21_21, yields: % 21.93/5.71 | (406) all_0_20_20 = all_0_21_21 % 21.93/5.71 | % 21.93/5.71 | Instantiating formula (61) with e3, e1, all_0_35_35, all_0_21_21 and discharging atoms op(e3, e1) = all_0_21_21, op(e3, e1) = all_0_35_35, yields: % 21.93/5.71 | (444) all_0_21_21 = all_0_35_35 % 21.93/5.71 | % 21.93/5.71 | Instantiating formula (61) with e3, e1, e4, all_0_20_20 and discharging atoms op(e3, e1) = all_0_20_20, op(e3, e1) = e4, yields: % 21.93/5.71 | (6950) all_0_20_20 = e4 % 21.93/5.71 | % 21.93/5.71 | Instantiating formula (61) with e2, e3, all_0_54_54, all_0_42_42 and discharging atoms op(e2, e3) = all_0_42_42, op(e2, e3) = all_0_54_54, yields: % 21.93/5.71 | (450) all_0_42_42 = all_0_54_54 % 21.93/5.71 | % 21.93/5.71 | Instantiating formula (61) with e2, e3, e4, all_0_42_42 and discharging atoms op(e2, e3) = all_0_42_42, op(e2, e3) = e4, yields: % 21.93/5.71 | (1386) all_0_42_42 = e4 % 21.93/5.71 | % 21.93/5.71 | Instantiating formula (61) with e1, e4, all_0_15_15, all_0_1_1 and discharging atoms op(e1, e4) = all_0_1_1, op(e1, e4) = all_0_15_15, yields: % 21.93/5.71 | (1664) all_0_1_1 = all_0_15_15 % 21.93/5.71 | % 21.93/5.71 | Instantiating formula (61) with e1, e4, all_0_48_48, all_0_1_1 and discharging atoms op(e1, e4) = all_0_1_1, op(e1, e4) = all_0_48_48, yields: % 21.93/5.71 | (1665) all_0_1_1 = all_0_48_48 % 21.93/5.71 | % 21.93/5.71 | Instantiating formula (61) with e1, e4, all_0_51_51, all_0_15_15 and discharging atoms op(e1, e4) = all_0_15_15, op(e1, e4) = all_0_51_51, yields: % 21.93/5.71 | (1666) all_0_15_15 = all_0_51_51 % 21.93/5.71 | % 21.93/5.71 | Instantiating formula (61) with e1, e4, e3, all_0_15_15 and discharging atoms op(e1, e4) = all_0_15_15, op(e1, e4) = e3, yields: % 21.93/5.71 | (6956) all_0_15_15 = e3 % 21.93/5.71 | % 21.93/5.71 | Instantiating formula (61) with e1, e3, all_0_10_10, all_0_2_2 and discharging atoms op(e1, e3) = all_0_2_2, op(e1, e3) = all_0_10_10, yields: % 21.93/5.71 | (417) all_0_2_2 = all_0_10_10 % 21.93/5.71 | % 21.93/5.71 | Instantiating formula (61) with e1, e3, all_0_34_34, all_0_2_2 and discharging atoms op(e1, e3) = all_0_2_2, op(e1, e3) = all_0_34_34, yields: % 21.93/5.71 | (418) all_0_2_2 = all_0_34_34 % 21.93/5.71 | % 21.93/5.71 | Instantiating formula (61) with e1, e3, e0, all_0_2_2 and discharging atoms op(e1, e3) = all_0_2_2, op(e1, e3) = e0, yields: % 21.93/5.71 | (5024) all_0_2_2 = e0 % 21.93/5.71 | % 21.93/5.71 | Combining equations (1664,1665) yields a new equation: % 21.93/5.71 | (1672) all_0_15_15 = all_0_48_48 % 21.93/5.71 | % 21.93/5.71 | Simplifying 1672 yields: % 21.93/5.71 | (1673) all_0_15_15 = all_0_48_48 % 21.93/5.71 | % 21.93/5.71 | Combining equations (5024,417) yields a new equation: % 21.93/5.71 | (6962) all_0_10_10 = e0 % 21.93/5.71 | % 21.93/5.71 | Combining equations (418,417) yields a new equation: % 21.93/5.71 | (426) all_0_10_10 = all_0_34_34 % 21.93/5.71 | % 21.93/5.71 | Combining equations (6944,6947) yields a new equation: % 21.93/5.71 | (6964) all_0_22_22 = e0 % 21.93/5.71 | % 21.93/5.71 | Simplifying 6964 yields: % 21.93/5.71 | (1345) all_0_22_22 = e0 % 21.93/5.71 | % 21.93/5.71 | Combining equations (426,6962) yields a new equation: % 21.93/5.71 | (1370) all_0_34_34 = e0 % 21.93/5.71 | % 21.93/5.71 | Simplifying 1370 yields: % 21.93/5.71 | (1371) all_0_34_34 = e0 % 21.93/5.71 | % 21.93/5.71 | Combining equations (6936,789) yields a new equation: % 21.93/5.71 | (6968) all_0_17_17 = e1 % 21.93/5.71 | % 21.93/5.71 | Simplifying 6968 yields: % 21.93/5.71 | (6969) all_0_17_17 = e1 % 21.93/5.71 | % 21.93/5.71 | Combining equations (1652,1653) yields a new equation: % 21.93/5.71 | (1684) all_0_25_25 = all_0_31_31 % 21.93/5.71 | % 21.93/5.71 | Simplifying 1684 yields: % 21.93/5.71 | (1685) all_0_25_25 = all_0_31_31 % 21.93/5.71 | % 21.93/5.71 | Combining equations (6956,1673) yields a new equation: % 21.93/5.71 | (6972) all_0_48_48 = e3 % 21.93/5.71 | % 21.93/5.71 | Combining equations (1666,1673) yields a new equation: % 21.93/5.71 | (1689) all_0_48_48 = all_0_51_51 % 21.93/5.71 | % 21.93/5.71 | Combining equations (5391,6969) yields a new equation: % 21.93/5.71 | (6974) all_0_33_33 = e1 % 21.93/5.71 | % 21.93/5.71 | Simplifying 6974 yields: % 21.93/5.71 | (400) all_0_33_33 = e1 % 21.93/5.71 | % 21.93/5.71 | Combining equations (406,6950) yields a new equation: % 21.93/5.71 | (1368) all_0_21_21 = e4 % 21.93/5.71 | % 21.93/5.71 | Simplifying 1368 yields: % 21.93/5.71 | (1369) all_0_21_21 = e4 % 21.93/5.71 | % 21.93/5.71 | Combining equations (444,1369) yields a new equation: % 21.93/5.71 | (6978) all_0_35_35 = e4 % 21.93/5.71 | % 21.93/5.71 | Simplifying 6978 yields: % 21.93/5.71 | (1341) all_0_35_35 = e4 % 21.93/5.71 | % 21.93/5.71 | Combining equations (6945,1345) yields a new equation: % 21.93/5.71 | (6980) all_0_38_38 = e0 % 21.93/5.71 | % 21.93/5.71 | Simplifying 6980 yields: % 21.93/5.71 | (6981) all_0_38_38 = e0 % 21.93/5.71 | % 21.93/5.71 | Combining equations (6943,1685) yields a new equation: % 21.93/5.71 | (6982) all_0_31_31 = e0 % 21.93/5.71 | % 21.93/5.71 | Combining equations (1654,1685) yields a new equation: % 21.93/5.71 | (1695) all_0_31_31 = all_0_36_36 % 21.93/5.71 | % 21.93/5.71 | Combining equations (6982,1695) yields a new equation: % 21.93/5.71 | (5049) all_0_36_36 = e0 % 21.93/5.71 | % 21.93/5.71 | Combining equations (5418,400) yields a new equation: % 21.93/5.71 | (6985) all_0_43_43 = e1 % 21.93/5.71 | % 21.93/5.71 | Simplifying 6985 yields: % 21.93/5.71 | (6986) all_0_43_43 = e1 % 21.93/5.71 | % 21.93/5.72 | Combining equations (6981,6946) yields a new equation: % 21.93/5.72 | (6987) all_0_52_52 = e0 % 21.93/5.72 | % 21.93/5.72 | Combining equations (1386,450) yields a new equation: % 21.93/5.72 | (6988) all_0_54_54 = e4 % 21.93/5.72 | % 21.93/5.72 | Combining equations (1689,6972) yields a new equation: % 21.93/5.72 | (6989) all_0_51_51 = e3 % 21.93/5.72 | % 21.93/5.72 | Simplifying 6989 yields: % 21.93/5.72 | (827) all_0_51_51 = e3 % 21.93/5.72 | % 21.93/5.72 | Combining equations (6988,450) yields a new equation: % 21.93/5.72 | (1386) all_0_42_42 = e4 % 21.93/5.72 | % 21.93/5.72 +-Applying beta-rule and splitting (183), into two cases. % 21.93/5.72 |-Branch one: % 21.93/5.72 | (462) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) | (( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3)) | (( ~ (all_0_42_42 = e4) | all_0_43_43 = e2) & ( ~ (all_0_44_44 = e3) | all_0_45_45 = e2) & ( ~ (all_0_47_47 = e1) | all_0_48_48 = e2)) % 21.93/5.72 | % 21.93/5.72 +-Applying beta-rule and splitting (462), into two cases. % 21.93/5.72 |-Branch one: % 21.93/5.72 | (463) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) | (( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3)) % 21.93/5.72 | % 21.93/5.72 +-Applying beta-rule and splitting (463), into two cases. % 21.93/5.72 |-Branch one: % 21.93/5.72 | (464) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) % 21.93/5.72 | % 21.93/5.72 +-Applying beta-rule and splitting (464), into two cases. % 21.93/5.72 |-Branch one: % 21.93/5.72 | (465) all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0 % 21.93/5.72 | % 21.93/5.72 | Applying alpha-rule on (465) yields: % 21.93/5.72 | (261) all_0_56_56 = e0 % 21.93/5.72 | (467) all_0_61_61 = e0 % 21.93/5.72 | (468) all_0_66_66 = e0 % 21.93/5.72 | (469) all_0_71_71 = e0 % 21.93/5.72 | % 21.93/5.72 | Combining equations (563,469) yields a new equation: % 21.93/5.72 | (354) e2 = e0 % 21.93/5.72 | % 21.93/5.72 | Simplifying 354 yields: % 21.93/5.72 | (355) e2 = e0 % 21.93/5.72 | % 21.93/5.72 | Equations (355) can reduce 48 to: % 21.93/5.72 | (251) $false % 21.93/5.72 | % 21.93/5.72 |-The branch is then unsatisfiable % 21.93/5.72 |-Branch two: % 21.93/5.72 | (578) ( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4) % 21.93/5.72 | % 21.93/5.72 | Applying alpha-rule on (578) yields: % 21.93/5.72 | (579) ~ (all_0_29_29 = e3) | all_0_30_30 = e4 % 21.93/5.72 | (580) ~ (all_0_31_31 = e2) | all_0_32_32 = e4 % 21.93/5.72 | (581) ~ (all_0_33_33 = e1) | all_0_34_34 = e4 % 21.93/5.72 | % 21.93/5.72 +-Applying beta-rule and splitting (581), into two cases. % 21.93/5.72 |-Branch one: % 21.93/5.72 | (582) ~ (all_0_33_33 = e1) % 21.93/5.72 | % 21.93/5.72 | Equations (400) can reduce 582 to: % 21.93/5.72 | (251) $false % 21.93/5.72 | % 21.93/5.72 |-The branch is then unsatisfiable % 21.93/5.72 |-Branch two: % 21.93/5.72 | (400) all_0_33_33 = e1 % 21.93/5.72 | (585) all_0_34_34 = e4 % 21.93/5.72 | % 21.93/5.72 | Combining equations (1371,585) yields a new equation: % 21.93/5.72 | (510) e4 = e0 % 21.93/5.72 | % 21.93/5.72 | Equations (510) can reduce 17 to: % 21.93/5.72 | (251) $false % 21.93/5.72 | % 21.93/5.72 |-The branch is then unsatisfiable % 21.93/5.72 |-Branch two: % 21.93/5.72 | (588) ( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3) % 21.93/5.72 | % 21.93/5.72 | Applying alpha-rule on (588) yields: % 21.93/5.72 | (589) ~ (all_0_35_35 = e4) | all_0_36_36 = e3 % 21.93/5.72 | (590) ~ (all_0_38_38 = e2) | all_0_39_39 = e3 % 21.93/5.72 | (591) ~ (all_0_40_40 = e1) | all_0_41_41 = e3 % 21.93/5.72 | % 21.93/5.72 +-Applying beta-rule and splitting (589), into two cases. % 21.93/5.72 |-Branch one: % 21.93/5.72 | (1415) ~ (all_0_35_35 = e4) % 21.93/5.72 | % 21.93/5.72 | Equations (1341) can reduce 1415 to: % 21.93/5.72 | (251) $false % 21.93/5.72 | % 21.93/5.72 |-The branch is then unsatisfiable % 21.93/5.72 |-Branch two: % 21.93/5.72 | (1341) all_0_35_35 = e4 % 21.93/5.72 | (1418) all_0_36_36 = e3 % 21.93/5.72 | % 21.93/5.72 | Combining equations (1418,5049) yields a new equation: % 21.93/5.72 | (390) e3 = e0 % 21.93/5.72 | % 21.93/5.72 | Simplifying 390 yields: % 21.93/5.72 | (391) e3 = e0 % 21.93/5.72 | % 21.93/5.72 | Equations (391) can reduce 36 to: % 21.93/5.72 | (251) $false % 21.93/5.72 | % 21.93/5.72 |-The branch is then unsatisfiable % 21.93/5.72 |-Branch two: % 21.93/5.72 | (599) ( ~ (all_0_42_42 = e4) | all_0_43_43 = e2) & ( ~ (all_0_44_44 = e3) | all_0_45_45 = e2) & ( ~ (all_0_47_47 = e1) | all_0_48_48 = e2) % 21.93/5.72 | % 21.93/5.72 | Applying alpha-rule on (599) yields: % 21.93/5.72 | (600) ~ (all_0_42_42 = e4) | all_0_43_43 = e2 % 21.93/5.72 | (601) ~ (all_0_44_44 = e3) | all_0_45_45 = e2 % 21.93/5.72 | (602) ~ (all_0_47_47 = e1) | all_0_48_48 = e2 % 21.93/5.72 | % 21.93/5.72 +-Applying beta-rule and splitting (600), into two cases. % 21.93/5.72 |-Branch one: % 21.93/5.72 | (1426) ~ (all_0_42_42 = e4) % 21.93/5.72 | % 21.93/5.72 | Equations (1386) can reduce 1426 to: % 21.93/5.72 | (251) $false % 21.93/5.72 | % 21.93/5.72 |-The branch is then unsatisfiable % 21.93/5.72 |-Branch two: % 21.93/5.72 | (1386) all_0_42_42 = e4 % 21.93/5.72 | (1429) all_0_43_43 = e2 % 21.93/5.72 | % 21.93/5.72 | Combining equations (1429,6986) yields a new equation: % 21.93/5.72 | (336) e2 = e1 % 21.93/5.72 | % 21.93/5.72 | Simplifying 336 yields: % 21.93/5.72 | (337) e2 = e1 % 21.93/5.72 | % 21.93/5.72 | Equations (337) can reduce 184 to: % 21.93/5.72 | (251) $false % 21.93/5.72 | % 21.93/5.72 |-The branch is then unsatisfiable % 21.93/5.72 |-Branch two: % 21.93/5.72 | (610) ( ~ (all_0_49_49 = e4) | all_0_50_50 = e1) & ( ~ (all_0_51_51 = e3) | all_0_52_52 = e1) & ( ~ (all_0_53_53 = e2) | all_0_54_54 = e1) % 21.93/5.72 | % 21.93/5.72 | Applying alpha-rule on (610) yields: % 21.93/5.72 | (611) ~ (all_0_49_49 = e4) | all_0_50_50 = e1 % 21.93/5.72 | (612) ~ (all_0_51_51 = e3) | all_0_52_52 = e1 % 21.93/5.72 | (613) ~ (all_0_53_53 = e2) | all_0_54_54 = e1 % 21.93/5.72 | % 21.93/5.72 +-Applying beta-rule and splitting (612), into two cases. % 21.93/5.72 |-Branch one: % 21.93/5.72 | (963) ~ (all_0_51_51 = e3) % 21.93/5.72 | % 21.93/5.72 | Equations (827) can reduce 963 to: % 21.93/5.72 | (251) $false % 21.93/5.72 | % 21.93/5.72 |-The branch is then unsatisfiable % 21.93/5.72 |-Branch two: % 21.93/5.72 | (827) all_0_51_51 = e3 % 21.93/5.72 | (966) all_0_52_52 = e1 % 21.93/5.72 | % 21.93/5.72 | Combining equations (966,6987) yields a new equation: % 21.93/5.72 | (287) e1 = e0 % 21.93/5.72 | % 21.93/5.72 | Simplifying 287 yields: % 21.93/5.72 | (288) e1 = e0 % 21.93/5.72 | % 21.93/5.72 | Equations (288) can reduce 204 to: % 21.93/5.72 | (251) $false % 21.93/5.72 | % 21.93/5.72 |-The branch is then unsatisfiable % 21.93/5.72 |-Branch two: % 21.93/5.72 | (265) ~ (all_0_59_59 = e0) % 21.93/5.72 | (1786) all_0_63_63 = e0 | all_0_67_67 = e0 | all_0_71_71 = e0 % 21.93/5.72 | % 21.93/5.72 +-Applying beta-rule and splitting (1786), into two cases. % 21.93/5.72 |-Branch one: % 21.93/5.72 | (576) all_0_63_63 = e0 % 21.93/5.72 | % 21.93/5.72 | Combining equations (498,576) yields a new equation: % 21.93/5.72 | (531) e4 = e0 % 21.93/5.72 | % 21.93/5.72 | Simplifying 531 yields: % 21.93/5.72 | (510) e4 = e0 % 21.93/5.72 | % 21.93/5.72 | Equations (510) can reduce 17 to: % 21.93/5.72 | (251) $false % 21.93/5.72 | % 21.93/5.72 |-The branch is then unsatisfiable % 21.93/5.72 |-Branch two: % 21.93/5.72 | (470) ~ (all_0_63_63 = e0) % 21.93/5.72 | (1790) all_0_67_67 = e0 | all_0_71_71 = e0 % 21.93/5.72 | % 21.93/5.72 +-Applying beta-rule and splitting (1790), into two cases. % 21.93/5.72 |-Branch one: % 21.93/5.72 | (1458) all_0_67_67 = e0 % 21.93/5.72 | % 21.93/5.72 | Combining equations (380,1458) yields a new equation: % 21.93/5.72 | (390) e3 = e0 % 21.93/5.72 | % 21.93/5.72 | Simplifying 390 yields: % 21.93/5.72 | (391) e3 = e0 % 21.93/5.72 | % 21.93/5.72 | Equations (391) can reduce 36 to: % 21.93/5.72 | (251) $false % 21.93/5.72 | % 21.93/5.72 |-The branch is then unsatisfiable % 21.93/5.72 |-Branch two: % 21.93/5.72 | (1182) ~ (all_0_67_67 = e0) % 21.93/5.72 | (469) all_0_71_71 = e0 % 21.93/5.72 | % 21.93/5.72 | Combining equations (469,563) yields a new equation: % 21.93/5.72 | (355) e2 = e0 % 21.93/5.72 | % 21.93/5.72 | Equations (355) can reduce 48 to: % 21.93/5.72 | (251) $false % 21.93/5.72 | % 21.93/5.72 |-The branch is then unsatisfiable % 21.93/5.72 |-Branch two: % 21.93/5.72 | (267) ~ (all_0_60_60 = e0) % 21.93/5.72 | (2002) all_0_61_61 = e0 | all_0_62_62 = e0 | all_0_63_63 = e0 % 21.93/5.72 | % 21.93/5.72 +-Applying beta-rule and splitting (2002), into two cases. % 21.93/5.72 |-Branch one: % 21.93/5.72 | (467) all_0_61_61 = e0 % 21.93/5.72 | % 21.93/5.72 | Combining equations (467,341) yields a new equation: % 21.93/5.72 | (355) e2 = e0 % 21.93/5.72 | % 21.93/5.72 | Equations (355) can reduce 48 to: % 21.93/5.72 | (251) $false % 21.93/5.72 | % 21.93/5.72 |-The branch is then unsatisfiable % 21.93/5.72 |-Branch two: % 21.93/5.72 | (2164) ~ (all_0_61_61 = e0) % 21.93/5.72 | (2268) all_0_62_62 = e0 | all_0_63_63 = e0 % 21.93/5.72 | % 21.93/5.72 +-Applying beta-rule and splitting (2268), into two cases. % 21.93/5.72 |-Branch one: % 21.93/5.72 | (925) all_0_62_62 = e0 % 21.93/5.72 | % 21.93/5.72 | Combining equations (925,327) yields a new equation: % 21.93/5.72 | (288) e1 = e0 % 21.93/5.72 | % 21.93/5.72 | Equations (288) can reduce 204 to: % 21.93/5.72 | (251) $false % 21.93/5.72 | % 21.93/5.72 |-The branch is then unsatisfiable % 21.93/5.72 |-Branch two: % 21.93/5.72 | (838) ~ (all_0_62_62 = e0) % 21.93/5.72 | (576) all_0_63_63 = e0 % 21.93/5.72 | % 21.93/5.72 | Combining equations (576,498) yields a new equation: % 21.93/5.72 | (510) e4 = e0 % 21.93/5.72 | % 21.93/5.72 | Equations (510) can reduce 17 to: % 21.93/5.72 | (251) $false % 21.93/5.72 | % 21.93/5.72 |-The branch is then unsatisfiable % 21.93/5.72 |-Branch two: % 21.93/5.72 | (642) ~ (all_0_64_64 = e1) % 21.93/5.72 | (703) all_0_65_65 = e1 | all_0_66_66 = e1 % 21.93/5.72 | % 21.93/5.72 +-Applying beta-rule and splitting (703), into two cases. % 21.93/5.72 |-Branch one: % 21.93/5.72 | (619) all_0_65_65 = e1 % 21.93/5.72 | % 21.93/5.72 | Combining equations (1243,619) yields a new equation: % 21.93/5.72 | (2018) e4 = e1 % 21.93/5.72 | % 21.93/5.72 | Simplifying 2018 yields: % 21.93/5.72 | (1244) e4 = e1 % 21.93/5.72 | % 21.93/5.72 | Equations (1244) can reduce 193 to: % 21.93/5.72 | (251) $false % 21.93/5.72 | % 21.93/5.72 |-The branch is then unsatisfiable % 21.93/5.72 |-Branch two: % 21.93/5.72 | (308) ~ (all_0_65_65 = e1) % 21.93/5.72 | (546) all_0_66_66 = e1 % 21.93/5.72 | % 21.93/5.72 | Combining equations (468,546) yields a new equation: % 21.93/5.72 | (288) e1 = e0 % 21.93/5.72 | % 21.93/5.72 | Equations (288) can reduce 204 to: % 21.93/5.72 | (251) $false % 21.93/5.72 | % 21.93/5.72 |-The branch is then unsatisfiable % 21.93/5.72 |-Branch two: % 21.93/5.72 | (571) ~ (all_0_63_63 = e4) % 21.93/5.72 | (2319) all_0_67_67 = e4 | all_0_71_71 = e4 % 21.93/5.72 | % 21.93/5.72 +-Applying beta-rule and splitting (140), into two cases. % 21.93/5.72 |-Branch one: % 21.93/5.72 | (498) all_0_63_63 = e4 % 21.93/5.72 | % 21.93/5.72 | Equations (498) can reduce 571 to: % 21.93/5.72 | (251) $false % 21.93/5.72 | % 21.93/5.72 |-The branch is then unsatisfiable % 21.93/5.72 |-Branch two: % 21.93/5.72 | (571) ~ (all_0_63_63 = e4) % 21.93/5.72 | (572) all_0_63_63 = e2 | all_0_63_63 = e0 % 21.93/5.72 | % 21.93/5.72 +-Applying beta-rule and splitting (2758), into two cases. % 21.93/5.72 |-Branch one: % 21.93/5.72 | (845) all_0_62_62 = e4 % 21.93/5.72 | % 21.93/5.72 | Combining equations (845,327) yields a new equation: % 21.93/5.72 | (2018) e4 = e1 % 21.93/5.72 | % 21.93/5.72 | Simplifying 2018 yields: % 21.93/5.72 | (1244) e4 = e1 % 21.93/5.72 | % 21.93/5.72 | Equations (1244) can reduce 193 to: % 21.93/5.72 | (251) $false % 21.93/5.72 | % 21.93/5.72 |-The branch is then unsatisfiable % 21.93/5.72 |-Branch two: % 21.93/5.72 | (920) ~ (all_0_62_62 = e4) % 21.93/5.72 | (498) all_0_63_63 = e4 % 21.93/5.72 | % 21.93/5.72 | Equations (498) can reduce 571 to: % 21.93/5.72 | (251) $false % 21.93/5.72 | % 21.93/5.72 |-The branch is then unsatisfiable % 21.93/5.72 |-Branch two: % 21.93/5.72 | (632) ~ (all_0_62_62 = e1) % 21.93/5.72 | (925) all_0_62_62 = e0 % 21.93/5.72 | % 21.93/5.72 | Equations (925) can reduce 838 to: % 21.93/5.72 | (251) $false % 21.93/5.72 | % 21.93/5.72 |-The branch is then unsatisfiable % 21.93/5.72 |-Branch two: % 21.93/5.72 | (567) ~ (all_0_70_70 = e4) % 21.93/5.72 | (552) all_0_71_71 = e4 % 21.93/5.72 | % 21.93/5.72 | Combining equations (552,563) yields a new equation: % 21.93/5.72 | (479) e4 = e2 % 21.93/5.72 | % 21.93/5.72 | Simplifying 479 yields: % 21.93/5.72 | (480) e4 = e2 % 21.93/5.72 | % 21.93/5.72 | Equations (480) can reduce 49 to: % 21.93/5.72 | (251) $false % 21.93/5.72 | % 21.93/5.72 |-The branch is then unsatisfiable % 21.93/5.72 |-Branch two: % 21.93/5.72 | (645) ~ (all_0_68_68 = e3) % 21.93/5.72 | (1050) all_0_70_70 = e3 | all_0_71_71 = e3 % 21.93/5.72 | % 21.93/5.72 +-Applying beta-rule and splitting (1050), into two cases. % 21.93/5.72 |-Branch one: % 21.93/5.72 | (597) all_0_70_70 = e3 % 21.93/5.72 | % 21.93/5.72 | Equations (597) can reduce 397 to: % 21.93/5.72 | (251) $false % 21.93/5.72 | % 21.93/5.72 |-The branch is then unsatisfiable % 21.93/5.72 |-Branch two: % 21.93/5.72 | (397) ~ (all_0_70_70 = e3) % 21.93/5.72 | (558) all_0_71_71 = e3 % 21.93/5.72 | % 21.93/5.72 | Combining equations (563,558) yields a new equation: % 21.93/5.72 | (376) e3 = e2 % 21.93/5.72 | % 21.93/5.72 | Equations (376) can reduce 128 to: % 21.93/5.72 | (251) $false % 21.93/5.72 | % 21.93/5.72 |-The branch is then unsatisfiable % 21.93/5.72 |-Branch two: % 21.93/5.73 | (621) ~ (all_0_58_58 = e3) % 21.93/5.73 | (622) all_0_58_58 = e1 | all_0_58_58 = e0 % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (54), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (395) all_0_58_58 = e3 % 21.93/5.73 | % 21.93/5.73 | Equations (395) can reduce 621 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (621) ~ (all_0_58_58 = e3) % 21.93/5.73 | (758) all_0_66_66 = e3 | all_0_70_70 = e3 % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (157), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (478) all_0_69_69 = e4 % 21.93/5.73 | % 21.93/5.73 | Equations (478) can reduce 482 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (482) ~ (all_0_69_69 = e4) % 21.93/5.73 | (483) all_0_70_70 = e4 | all_0_71_71 = e4 % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (3), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (478) all_0_69_69 = e4 % 21.93/5.73 | % 21.93/5.73 | Equations (478) can reduce 482 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (482) ~ (all_0_69_69 = e4) % 21.93/5.73 | (1477) all_0_69_69 = e2 | all_0_69_69 = e0 % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (483), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (500) all_0_70_70 = e4 % 21.93/5.73 | % 21.93/5.73 | Equations (500) can reduce 208 to: % 21.93/5.73 | (920) ~ (all_0_62_62 = e4) % 21.93/5.73 | % 21.93/5.73 | Equations (500) can reduce 221 to: % 21.93/5.73 | (482) ~ (all_0_69_69 = e4) % 21.93/5.73 | % 21.93/5.73 | Equations (500) can reduce 7 to: % 21.93/5.73 | (49) ~ (e4 = e2) % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (1477), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (344) all_0_69_69 = e2 % 21.93/5.73 | % 21.93/5.73 | Equations (344) can reduce 731 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (731) ~ (all_0_69_69 = e2) % 21.93/5.73 | (1481) all_0_69_69 = e0 % 21.93/5.73 | % 21.93/5.73 | Equations (1481) can reduce 194 to: % 21.93/5.73 | (271) ~ (all_0_68_68 = e0) % 21.93/5.73 | % 21.93/5.73 | Equations (1481) can reduce 482 to: % 21.93/5.73 | (514) ~ (e4 = e0) % 21.93/5.73 | % 21.93/5.73 | Simplifying 514 yields: % 21.93/5.73 | (17) ~ (e4 = e0) % 21.93/5.73 | % 21.93/5.73 | Equations (1481) can reduce 731 to: % 21.93/5.73 | (274) ~ (e2 = e0) % 21.93/5.73 | % 21.93/5.73 | Simplifying 274 yields: % 21.93/5.73 | (48) ~ (e2 = e0) % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (33), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (292) all_0_68_68 = e3 % 21.93/5.73 | % 21.93/5.73 | Equations (292) can reduce 155 to: % 21.93/5.73 | (293) ~ (all_0_64_64 = e3) % 21.93/5.73 | % 21.93/5.73 | Equations (292) can reduce 271 to: % 21.93/5.73 | (36) ~ (e3 = e0) % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (170), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (302) all_0_64_64 = e3 % 21.93/5.73 | % 21.93/5.73 | Equations (302) can reduce 293 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (293) ~ (all_0_64_64 = e3) % 21.93/5.73 | (1266) all_0_66_66 = e3 | all_0_67_67 = e3 % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (1266), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (538) all_0_66_66 = e3 % 21.93/5.73 | % 21.93/5.73 | Combining equations (468,538) yields a new equation: % 21.93/5.73 | (391) e3 = e0 % 21.93/5.73 | % 21.93/5.73 | Equations (391) can reduce 36 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (542) ~ (all_0_66_66 = e3) % 21.93/5.73 | (380) all_0_67_67 = e3 % 21.93/5.73 | % 21.93/5.73 | Equations (380) can reduce 22 to: % 21.93/5.73 | (378) ~ (all_0_59_59 = e3) % 21.93/5.73 | % 21.93/5.73 | Equations (380) can reduce 1581 to: % 21.93/5.73 | (774) ~ (e4 = e3) % 21.93/5.73 | % 21.93/5.73 | Simplifying 774 yields: % 21.93/5.73 | (130) ~ (e4 = e3) % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (58), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (375) all_0_59_59 = e3 % 21.93/5.73 | % 21.93/5.73 | Equations (375) can reduce 378 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (378) ~ (all_0_59_59 = e3) % 21.93/5.73 | (1073) all_0_59_59 = e2 | all_0_59_59 = e0 % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (1073), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (364) all_0_59_59 = e2 % 21.93/5.73 | % 21.93/5.73 | Equations (364) can reduce 1029 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (1029) ~ (all_0_59_59 = e2) % 21.93/5.73 | (1077) all_0_59_59 = e0 % 21.93/5.73 | % 21.93/5.73 | Equations (1077) can reduce 378 to: % 21.93/5.73 | (272) ~ (e3 = e0) % 21.93/5.73 | % 21.93/5.73 | Simplifying 272 yields: % 21.93/5.73 | (36) ~ (e3 = e0) % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (758), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (538) all_0_66_66 = e3 % 21.93/5.73 | % 21.93/5.73 | Combining equations (468,538) yields a new equation: % 21.93/5.73 | (391) e3 = e0 % 21.93/5.73 | % 21.93/5.73 | Equations (391) can reduce 36 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (542) ~ (all_0_66_66 = e3) % 21.93/5.73 | (597) all_0_70_70 = e3 % 21.93/5.73 | % 21.93/5.73 | Combining equations (500,597) yields a new equation: % 21.93/5.73 | (1463) e4 = e3 % 21.93/5.73 | % 21.93/5.73 | Simplifying 1463 yields: % 21.93/5.73 | (935) e4 = e3 % 21.93/5.73 | % 21.93/5.73 | Equations (935) can reduce 130 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (645) ~ (all_0_68_68 = e3) % 21.93/5.73 | (1050) all_0_70_70 = e3 | all_0_71_71 = e3 % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (182), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (261) all_0_56_56 = e0 % 21.93/5.73 | % 21.93/5.73 | Combining equations (261,254) yields a new equation: % 21.93/5.73 | (355) e2 = e0 % 21.93/5.73 | % 21.93/5.73 | Equations (355) can reduce 48 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (1519) ~ (all_0_56_56 = e0) % 21.93/5.73 | (3803) all_0_57_57 = e0 | all_0_58_58 = e0 | all_0_59_59 = e0 % 21.93/5.73 | % 21.93/5.73 | Equations (254) can reduce 1519 to: % 21.93/5.73 | (48) ~ (e2 = e0) % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (53), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (845) all_0_62_62 = e4 % 21.93/5.73 | % 21.93/5.73 | Equations (845) can reduce 920 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (920) ~ (all_0_62_62 = e4) % 21.93/5.73 | (921) all_0_62_62 = e1 | all_0_62_62 = e0 % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (921), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (327) all_0_62_62 = e1 % 21.93/5.73 | % 21.93/5.73 | Equations (327) can reduce 920 to: % 21.93/5.73 | (2010) ~ (e4 = e1) % 21.93/5.73 | % 21.93/5.73 | Simplifying 2010 yields: % 21.93/5.73 | (193) ~ (e4 = e1) % 21.93/5.73 | % 21.93/5.73 | Equations (327) can reduce 838 to: % 21.93/5.73 | (204) ~ (e1 = e0) % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (74), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (509) all_0_61_61 = e4 % 21.93/5.73 | % 21.93/5.73 | Combining equations (509,341) yields a new equation: % 21.93/5.73 | (479) e4 = e2 % 21.93/5.73 | % 21.93/5.73 | Simplifying 479 yields: % 21.93/5.73 | (480) e4 = e2 % 21.93/5.73 | % 21.93/5.73 | Equations (480) can reduce 49 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (512) ~ (all_0_61_61 = e4) % 21.93/5.73 | (2758) all_0_62_62 = e4 | all_0_63_63 = e4 % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (2758), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (845) all_0_62_62 = e4 % 21.93/5.73 | % 21.93/5.73 | Combining equations (327,845) yields a new equation: % 21.93/5.73 | (1244) e4 = e1 % 21.93/5.73 | % 21.93/5.73 | Equations (1244) can reduce 193 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (920) ~ (all_0_62_62 = e4) % 21.93/5.73 | (498) all_0_63_63 = e4 % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (213), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (1119) all_0_60_60 = e0 % 21.93/5.73 | % 21.93/5.73 | Equations (1119) can reduce 83 to: % 21.93/5.73 | (270) ~ (all_0_68_68 = e0) % 21.93/5.73 | % 21.93/5.73 | Simplifying 270 yields: % 21.93/5.73 | (271) ~ (all_0_68_68 = e0) % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (239), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (292) all_0_68_68 = e3 % 21.93/5.73 | % 21.93/5.73 | Equations (292) can reduce 645 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (645) ~ (all_0_68_68 = e3) % 21.93/5.73 | (646) all_0_68_68 = e2 | all_0_68_68 = e0 % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (646), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (729) all_0_68_68 = e2 % 21.93/5.73 | % 21.93/5.73 | Equations (729) can reduce 987 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (987) ~ (all_0_68_68 = e2) % 21.93/5.73 | (988) all_0_68_68 = e0 % 21.93/5.73 | % 21.93/5.73 | Equations (988) can reduce 271 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (267) ~ (all_0_60_60 = e0) % 21.93/5.73 | (2002) all_0_61_61 = e0 | all_0_62_62 = e0 | all_0_63_63 = e0 % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (2002), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (467) all_0_61_61 = e0 % 21.93/5.73 | % 21.93/5.73 | Combining equations (467,341) yields a new equation: % 21.93/5.73 | (355) e2 = e0 % 21.93/5.73 | % 21.93/5.73 | Equations (355) can reduce 48 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (2164) ~ (all_0_61_61 = e0) % 21.93/5.73 | (2268) all_0_62_62 = e0 | all_0_63_63 = e0 % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (2268), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (925) all_0_62_62 = e0 % 21.93/5.73 | % 21.93/5.73 | Combining equations (925,327) yields a new equation: % 21.93/5.73 | (288) e1 = e0 % 21.93/5.73 | % 21.93/5.73 | Equations (288) can reduce 204 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (838) ~ (all_0_62_62 = e0) % 21.93/5.73 | (576) all_0_63_63 = e0 % 21.93/5.73 | % 21.93/5.73 | Combining equations (498,576) yields a new equation: % 21.93/5.73 | (531) e4 = e0 % 21.93/5.73 | % 21.93/5.73 | Simplifying 531 yields: % 21.93/5.73 | (510) e4 = e0 % 21.93/5.73 | % 21.93/5.73 | Equations (510) can reduce 17 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (632) ~ (all_0_62_62 = e1) % 21.93/5.73 | (925) all_0_62_62 = e0 % 21.93/5.73 | % 21.93/5.73 | Equations (925) can reduce 838 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (567) ~ (all_0_70_70 = e4) % 21.93/5.73 | (552) all_0_71_71 = e4 % 21.93/5.73 | % 21.93/5.73 | Combining equations (552,563) yields a new equation: % 21.93/5.73 | (479) e4 = e2 % 21.93/5.73 | % 21.93/5.73 | Simplifying 479 yields: % 21.93/5.73 | (480) e4 = e2 % 21.93/5.73 | % 21.93/5.73 | Equations (480) can reduce 49 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (635) ~ (all_0_57_57 = e1) % 21.93/5.73 | (636) all_0_61_61 = e1 | all_0_65_65 = e1 % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (201), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (335) all_0_57_57 = e2 % 21.93/5.73 | % 21.93/5.73 | Equations (335) can reduce 339 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (339) ~ (all_0_57_57 = e2) % 21.93/5.73 | (991) all_0_57_57 = e1 | all_0_57_57 = e0 % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (157), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (478) all_0_69_69 = e4 % 21.93/5.73 | % 21.93/5.73 | Equations (478) can reduce 482 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (482) ~ (all_0_69_69 = e4) % 21.93/5.73 | (483) all_0_70_70 = e4 | all_0_71_71 = e4 % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (3), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (478) all_0_69_69 = e4 % 21.93/5.73 | % 21.93/5.73 | Equations (478) can reduce 482 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (482) ~ (all_0_69_69 = e4) % 21.93/5.73 | (1477) all_0_69_69 = e2 | all_0_69_69 = e0 % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (10), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (1251) all_0_67_67 = e4 % 21.93/5.73 | % 21.93/5.73 | Equations (1251) can reduce 1581 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (1581) ~ (all_0_67_67 = e4) % 21.93/5.73 | (1634) all_0_67_67 = e3 | all_0_67_67 = e0 % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (38), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (498) all_0_63_63 = e4 % 21.93/5.73 | % 21.93/5.73 | Equations (498) can reduce 70 to: % 21.93/5.73 | (920) ~ (all_0_62_62 = e4) % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (53), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (845) all_0_62_62 = e4 % 21.93/5.73 | % 21.93/5.73 | Equations (845) can reduce 920 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (920) ~ (all_0_62_62 = e4) % 21.93/5.73 | (921) all_0_62_62 = e1 | all_0_62_62 = e0 % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (921), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (327) all_0_62_62 = e1 % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (1477), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (344) all_0_69_69 = e2 % 21.93/5.73 | % 21.93/5.73 | Equations (344) can reduce 731 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (731) ~ (all_0_69_69 = e2) % 21.93/5.73 | (1481) all_0_69_69 = e0 % 21.93/5.73 | % 21.93/5.73 | Equations (1481) can reduce 194 to: % 21.93/5.73 | (271) ~ (all_0_68_68 = e0) % 21.93/5.73 | % 21.93/5.73 | Equations (1481) can reduce 482 to: % 21.93/5.73 | (514) ~ (e4 = e0) % 21.93/5.73 | % 21.93/5.73 | Simplifying 514 yields: % 21.93/5.73 | (17) ~ (e4 = e0) % 21.93/5.73 | % 21.93/5.73 | Equations (1481) can reduce 731 to: % 21.93/5.73 | (274) ~ (e2 = e0) % 21.93/5.73 | % 21.93/5.73 | Simplifying 274 yields: % 21.93/5.73 | (48) ~ (e2 = e0) % 21.93/5.73 | % 21.93/5.73 | Equations (1481) can reduce 156 to: % 21.93/5.73 | (276) ~ (e1 = e0) % 21.93/5.73 | % 21.93/5.73 | Simplifying 276 yields: % 21.93/5.73 | (204) ~ (e1 = e0) % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (239), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (292) all_0_68_68 = e3 % 21.93/5.73 | % 21.93/5.73 | Equations (292) can reduce 83 to: % 21.93/5.73 | (46) ~ (all_0_60_60 = e3) % 21.93/5.73 | % 21.93/5.73 | Equations (292) can reduce 205 to: % 21.93/5.73 | (396) ~ (all_0_70_70 = e3) % 21.93/5.73 | % 21.93/5.73 | Simplifying 396 yields: % 21.93/5.73 | (397) ~ (all_0_70_70 = e3) % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (213), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (1119) all_0_60_60 = e0 % 21.93/5.73 | % 21.93/5.73 | Equations (1119) can reduce 46 to: % 21.93/5.73 | (272) ~ (e3 = e0) % 21.93/5.73 | % 21.93/5.73 | Simplifying 272 yields: % 21.93/5.73 | (36) ~ (e3 = e0) % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (54), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (395) all_0_58_58 = e3 % 21.93/5.73 | % 21.93/5.73 | Equations (395) can reduce 229 to: % 21.93/5.73 | (1127) ~ (all_0_59_59 = e3) % 21.93/5.73 | % 21.93/5.73 | Simplifying 1127 yields: % 21.93/5.73 | (378) ~ (all_0_59_59 = e3) % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (58), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (375) all_0_59_59 = e3 % 21.93/5.73 | % 21.93/5.73 | Equations (375) can reduce 378 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (378) ~ (all_0_59_59 = e3) % 21.93/5.73 | (1073) all_0_59_59 = e2 | all_0_59_59 = e0 % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (1073), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (364) all_0_59_59 = e2 % 21.93/5.73 | % 21.93/5.73 | Equations (364) can reduce 1029 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (1029) ~ (all_0_59_59 = e2) % 21.93/5.73 | (1077) all_0_59_59 = e0 % 21.93/5.73 | % 21.93/5.73 | Equations (1077) can reduce 233 to: % 21.93/5.73 | (1147) ~ (all_0_57_57 = e0) % 21.93/5.73 | % 21.93/5.73 +-Applying beta-rule and splitting (991), into two cases. % 21.93/5.73 |-Branch one: % 21.93/5.73 | (313) all_0_57_57 = e1 % 21.93/5.73 | % 21.93/5.73 | Equations (313) can reduce 635 to: % 21.93/5.73 | (251) $false % 21.93/5.73 | % 21.93/5.73 |-The branch is then unsatisfiable % 21.93/5.73 |-Branch two: % 21.93/5.73 | (635) ~ (all_0_57_57 = e1) % 21.93/5.74 | (1840) all_0_57_57 = e0 % 21.93/5.74 | % 21.93/5.74 | Equations (1840) can reduce 1147 to: % 21.93/5.74 | (251) $false % 21.93/5.74 | % 21.93/5.74 |-The branch is then unsatisfiable % 21.93/5.74 |-Branch two: % 21.93/5.74 | (621) ~ (all_0_58_58 = e3) % 21.93/5.74 | (758) all_0_66_66 = e3 | all_0_70_70 = e3 % 21.93/5.74 | % 21.93/5.74 +-Applying beta-rule and splitting (758), into two cases. % 21.93/5.74 |-Branch one: % 21.93/5.74 | (538) all_0_66_66 = e3 % 21.93/5.74 | % 21.93/5.74 | Combining equations (468,538) yields a new equation: % 21.93/5.74 | (391) e3 = e0 % 21.93/5.74 | % 21.93/5.74 | Equations (391) can reduce 36 to: % 21.93/5.74 | (251) $false % 21.93/5.74 | % 21.93/5.74 |-The branch is then unsatisfiable % 21.93/5.74 |-Branch two: % 21.93/5.74 | (542) ~ (all_0_66_66 = e3) % 21.93/5.74 | (597) all_0_70_70 = e3 % 21.93/5.74 | % 21.93/5.74 | Equations (597) can reduce 397 to: % 21.93/5.74 | (251) $false % 21.93/5.74 | % 21.93/5.74 |-The branch is then unsatisfiable % 21.93/5.74 |-Branch two: % 21.93/5.74 | (267) ~ (all_0_60_60 = e0) % 21.93/5.74 | (2002) all_0_61_61 = e0 | all_0_62_62 = e0 | all_0_63_63 = e0 % 21.93/5.74 | % 21.93/5.74 +-Applying beta-rule and splitting (2002), into two cases. % 21.93/5.74 |-Branch one: % 21.93/5.74 | (467) all_0_61_61 = e0 % 21.93/5.74 | % 21.93/5.74 | Combining equations (467,341) yields a new equation: % 21.93/5.74 | (355) e2 = e0 % 21.93/5.74 | % 21.93/5.74 | Equations (355) can reduce 48 to: % 21.93/5.74 | (251) $false % 21.93/5.74 | % 21.93/5.74 |-The branch is then unsatisfiable % 21.93/5.74 |-Branch two: % 21.93/5.74 | (2164) ~ (all_0_61_61 = e0) % 21.93/5.74 | (2268) all_0_62_62 = e0 | all_0_63_63 = e0 % 21.93/5.74 | % 21.93/5.74 +-Applying beta-rule and splitting (2268), into two cases. % 21.93/5.74 |-Branch one: % 21.93/5.74 | (925) all_0_62_62 = e0 % 21.93/5.74 | % 21.93/5.74 | Combining equations (925,327) yields a new equation: % 21.93/5.74 | (288) e1 = e0 % 21.93/5.74 | % 21.93/5.74 | Equations (288) can reduce 204 to: % 21.93/5.74 | (251) $false % 21.93/5.74 | % 21.93/5.74 |-The branch is then unsatisfiable % 21.93/5.74 |-Branch two: % 21.93/5.74 | (838) ~ (all_0_62_62 = e0) % 21.93/5.74 | (576) all_0_63_63 = e0 % 21.93/5.74 | % 21.93/5.74 | Combining equations (576,498) yields a new equation: % 21.93/5.74 | (510) e4 = e0 % 21.93/5.74 | % 21.93/5.74 | Equations (510) can reduce 17 to: % 21.93/5.74 | (251) $false % 21.93/5.74 | % 21.93/5.74 |-The branch is then unsatisfiable % 21.93/5.74 |-Branch two: % 21.93/5.74 | (645) ~ (all_0_68_68 = e3) % 21.93/5.74 | (646) all_0_68_68 = e2 | all_0_68_68 = e0 % 21.93/5.74 | % 21.93/5.74 +-Applying beta-rule and splitting (646), into two cases. % 21.93/5.74 |-Branch one: % 21.93/5.74 | (729) all_0_68_68 = e2 % 21.93/5.74 | % 21.93/5.74 | Equations (729) can reduce 987 to: % 21.93/5.74 | (251) $false % 21.93/5.74 | % 21.93/5.74 |-The branch is then unsatisfiable % 21.93/5.74 |-Branch two: % 21.93/5.74 | (987) ~ (all_0_68_68 = e2) % 21.93/5.74 | (988) all_0_68_68 = e0 % 21.93/5.74 | % 21.93/5.74 | Equations (988) can reduce 271 to: % 21.93/5.74 | (251) $false % 21.93/5.74 | % 21.93/5.74 |-The branch is then unsatisfiable % 21.93/5.74 |-Branch two: % 21.93/5.74 | (632) ~ (all_0_62_62 = e1) % 21.93/5.74 | (925) all_0_62_62 = e0 % 21.93/5.74 | % 21.93/5.74 | Equations (925) can reduce 838 to: % 21.93/5.74 | (251) $false % 21.93/5.74 | % 21.93/5.74 |-The branch is then unsatisfiable % 21.93/5.74 |-Branch two: % 21.93/5.74 | (571) ~ (all_0_63_63 = e4) % 21.93/5.74 | (2319) all_0_67_67 = e4 | all_0_71_71 = e4 % 21.93/5.74 | % 21.93/5.74 +-Applying beta-rule and splitting (1634), into two cases. % 21.93/5.74 |-Branch one: % 21.93/5.74 | (380) all_0_67_67 = e3 % 21.93/5.74 | % 21.93/5.74 | Equations (380) can reduce 1581 to: % 21.93/5.74 | (774) ~ (e4 = e3) % 21.93/5.74 | % 21.93/5.74 | Simplifying 774 yields: % 21.93/5.74 | (130) ~ (e4 = e3) % 21.93/5.74 | % 21.93/5.74 +-Applying beta-rule and splitting (2319), into two cases. % 21.93/5.74 |-Branch one: % 21.93/5.74 | (1251) all_0_67_67 = e4 % 21.93/5.74 | % 21.93/5.74 | Combining equations (380,1251) yields a new equation: % 21.93/5.74 | (935) e4 = e3 % 21.93/5.74 | % 21.93/5.74 | Equations (935) can reduce 130 to: % 21.93/5.74 | (251) $false % 21.93/5.74 | % 21.93/5.74 |-The branch is then unsatisfiable % 21.93/5.74 |-Branch two: % 21.93/5.74 | (1581) ~ (all_0_67_67 = e4) % 21.93/5.74 | (552) all_0_71_71 = e4 % 21.93/5.74 | % 21.93/5.74 | Combining equations (563,552) yields a new equation: % 21.93/5.74 | (480) e4 = e2 % 21.93/5.74 | % 21.93/5.74 | Equations (480) can reduce 49 to: % 21.93/5.74 | (251) $false % 21.93/5.74 | % 21.93/5.74 |-The branch is then unsatisfiable % 21.93/5.74 |-Branch two: % 21.93/5.74 | (629) ~ (all_0_67_67 = e3) % 21.93/5.74 | (1458) all_0_67_67 = e0 % 21.93/5.74 | % 21.93/5.74 | Equations (1458) can reduce 1182 to: % 21.93/5.74 | (251) $false % 21.93/5.74 | % 21.93/5.74 |-The branch is then unsatisfiable % 21.93/5.74 |-Branch two: % 21.93/5.74 | (1246) ~ (all_0_65_65 = e4) % 21.93/5.74 | (1247) all_0_66_66 = e4 | all_0_67_67 = e4 % 21.93/5.74 | % 21.93/5.74 +-Applying beta-rule and splitting (1247), into two cases. % 21.93/5.74 |-Branch one: % 21.93/5.74 | (530) all_0_66_66 = e4 % 21.93/5.74 | % 21.93/5.74 | Combining equations (468,530) yields a new equation: % 21.93/5.74 | (510) e4 = e0 % 21.93/5.74 | % 21.93/5.74 | Equations (510) can reduce 17 to: % 21.93/5.74 | (251) $false % 21.93/5.74 | % 21.93/5.74 |-The branch is then unsatisfiable % 21.93/5.74 |-Branch two: % 21.93/5.74 | (534) ~ (all_0_66_66 = e4) % 21.93/5.74 | (1251) all_0_67_67 = e4 % 21.93/5.74 | % 21.93/5.74 | Equations (1251) can reduce 22 to: % 21.93/5.74 | (202) ~ (all_0_59_59 = e4) % 21.93/5.74 | % 21.93/5.74 | Equations (1251) can reduce 116 to: % 21.93/5.74 | (571) ~ (all_0_63_63 = e4) % 21.93/5.74 | % 21.93/5.74 | Equations (1251) can reduce 164 to: % 21.93/5.74 | (1246) ~ (all_0_65_65 = e4) % 21.93/5.74 | % 21.93/5.74 | Equations (1251) can reduce 139 to: % 21.93/5.74 | (49) ~ (e4 = e2) % 21.93/5.74 | % 21.93/5.74 | Equations (1251) can reduce 1182 to: % 21.93/5.74 | (17) ~ (e4 = e0) % 21.93/5.74 | % 21.93/5.74 | From (1251) and (52) follows: % 21.93/5.74 | (1254) op(e4, e1) = all_0_20_20 % 21.93/5.74 | % 21.93/5.74 | From (1251) and (185) follows: % 21.93/5.74 | (1256) op(e2, e1) = e4 % 21.93/5.74 | % 21.93/5.74 | From (1251) and (16) follows: % 21.93/5.74 | (1257) op(e1, e4) = all_0_53_53 % 21.93/5.74 | % 21.93/5.74 +-Applying beta-rule and splitting (170), into two cases. % 21.93/5.74 |-Branch one: % 21.93/5.74 | (302) all_0_64_64 = e3 % 21.93/5.74 | % 21.93/5.74 | Equations (302) can reduce 218 to: % 21.93/5.74 | (46) ~ (all_0_60_60 = e3) % 21.93/5.74 | % 21.93/5.74 | Equations (302) can reduce 198 to: % 21.93/5.74 | (128) ~ (e3 = e2) % 21.93/5.74 | % 21.93/5.74 | Equations (302) can reduce 269 to: % 21.93/5.74 | (36) ~ (e3 = e0) % 21.93/5.74 | % 21.93/5.74 | From (302) and (179) follows: % 21.93/5.74 | (4247) op(e3, e4) = all_0_15_15 % 21.93/5.74 | % 21.93/5.74 | From (302) and (152) follows: % 21.93/5.74 | (4913) op(e4, e3) = all_0_31_31 % 21.93/5.74 | % 21.93/5.74 +-Applying beta-rule and splitting (227), into two cases. % 21.93/5.74 |-Branch one: % 21.93/5.74 | (1243) all_0_65_65 = e4 % 21.93/5.74 | % 21.93/5.74 | Equations (1243) can reduce 1246 to: % 21.93/5.74 | (251) $false % 21.93/5.74 | % 21.93/5.74 |-The branch is then unsatisfiable % 21.93/5.74 |-Branch two: % 21.93/5.74 | (1246) ~ (all_0_65_65 = e4) % 21.93/5.74 | (1802) all_0_65_65 = e1 | all_0_65_65 = e0 % 21.93/5.74 | % 21.93/5.74 +-Applying beta-rule and splitting (140), into two cases. % 21.93/5.74 |-Branch one: % 21.93/5.74 | (498) all_0_63_63 = e4 % 21.93/5.74 | % 21.93/5.74 | Equations (498) can reduce 571 to: % 21.93/5.74 | (251) $false % 21.93/5.74 | % 21.93/5.74 |-The branch is then unsatisfiable % 21.93/5.74 |-Branch two: % 21.93/5.74 | (571) ~ (all_0_63_63 = e4) % 21.93/5.74 | (572) all_0_63_63 = e2 | all_0_63_63 = e0 % 21.93/5.74 | % 21.93/5.74 +-Applying beta-rule and splitting (207), into two cases. % 21.93/5.74 |-Branch one: % 21.93/5.74 | (375) all_0_59_59 = e3 % 21.93/5.74 | % 21.93/5.74 | Equations (375) can reduce 233 to: % 21.93/5.74 | (124) ~ (all_0_57_57 = e3) % 21.93/5.74 | % 21.93/5.74 | Equations (375) can reduce 229 to: % 21.93/5.74 | (621) ~ (all_0_58_58 = e3) % 21.93/5.74 | % 21.93/5.74 | Equations (375) can reduce 202 to: % 21.93/5.74 | (774) ~ (e4 = e3) % 21.93/5.74 | % 21.93/5.74 | Simplifying 774 yields: % 21.93/5.74 | (130) ~ (e4 = e3) % 21.93/5.74 | % 21.93/5.74 | From (375) and (187) follows: % 21.93/5.74 | (4205) op(e3, e4) = all_0_5_5 % 21.93/5.74 | % 21.93/5.74 | From (375) and (123) follows: % 21.93/5.74 | (776) op(e3, e1) = all_0_6_6 % 21.93/5.74 | % 21.93/5.74 | From (375) and (236) follows: % 21.93/5.74 | (7380) op(e4, e3) = all_0_50_50 % 21.93/5.74 | % 21.93/5.74 | From (375) and (25) follows: % 21.93/5.74 | (2833) op(e4, e1) = e3 % 21.93/5.74 | % 21.93/5.74 | From (375) and (219) follows: % 22.26/5.74 | (7382) op(e1, e3) = all_0_49_49 % 22.26/5.74 | % 22.26/5.74 +-Applying beta-rule and splitting (54), into two cases. % 22.26/5.74 |-Branch one: % 22.26/5.74 | (395) all_0_58_58 = e3 % 22.26/5.74 | % 22.26/5.74 | Equations (395) can reduce 621 to: % 22.26/5.74 | (251) $false % 22.26/5.74 | % 22.26/5.74 |-The branch is then unsatisfiable % 22.26/5.74 |-Branch two: % 22.26/5.74 | (621) ~ (all_0_58_58 = e3) % 22.26/5.74 | (758) all_0_66_66 = e3 | all_0_70_70 = e3 % 22.26/5.74 | % 22.26/5.74 +-Applying beta-rule and splitting (758), into two cases. % 22.26/5.74 |-Branch one: % 22.26/5.74 | (538) all_0_66_66 = e3 % 22.26/5.74 | % 22.26/5.74 | Combining equations (538,468) yields a new equation: % 22.26/5.74 | (390) e3 = e0 % 22.26/5.74 | % 22.26/5.74 | Simplifying 390 yields: % 22.26/5.74 | (391) e3 = e0 % 22.26/5.74 | % 22.26/5.74 | Equations (391) can reduce 36 to: % 22.26/5.74 | (251) $false % 22.26/5.74 | % 22.26/5.74 |-The branch is then unsatisfiable % 22.26/5.74 |-Branch two: % 22.26/5.74 | (542) ~ (all_0_66_66 = e3) % 22.26/5.74 | (597) all_0_70_70 = e3 % 22.26/5.74 | % 22.26/5.74 | Equations (597) can reduce 208 to: % 22.26/5.74 | (41) ~ (all_0_62_62 = e3) % 22.26/5.74 | % 22.26/5.74 | Equations (597) can reduce 205 to: % 22.26/5.74 | (645) ~ (all_0_68_68 = e3) % 22.26/5.74 | % 22.26/5.74 | Equations (597) can reduce 7 to: % 22.26/5.74 | (128) ~ (e3 = e2) % 22.26/5.74 | % 22.26/5.74 | From (597) and (95) follows: % 22.26/5.74 | (765) op(e3, e1) = all_0_25_25 % 22.26/5.74 | % 22.26/5.74 | From (597) and (241) follows: % 22.26/5.74 | (767) op(e1, e3) = all_0_48_48 % 22.26/5.74 | % 22.26/5.74 +-Applying beta-rule and splitting (42), into two cases. % 22.26/5.74 |-Branch one: % 22.26/5.74 | (845) all_0_62_62 = e4 % 22.26/5.74 | % 22.26/5.74 | Equations (845) can reduce 41 to: % 22.26/5.74 | (130) ~ (e4 = e3) % 22.26/5.74 | % 22.26/5.74 | Equations (845) can reduce 217 to: % 22.26/5.74 | (49) ~ (e4 = e2) % 22.26/5.74 | % 22.26/5.74 | From (845) and (72) follows: % 22.26/5.74 | (7401) op(e4, e3) = all_0_10_10 % 22.26/5.74 | % 22.26/5.74 +-Applying beta-rule and splitting (157), into two cases. % 22.26/5.74 |-Branch one: % 22.26/5.74 | (478) all_0_69_69 = e4 % 22.26/5.74 | % 22.26/5.74 | Equations (478) can reduce 18 to: % 22.26/5.74 | (141) ~ (all_0_57_57 = e4) % 22.26/5.74 | % 22.26/5.74 | Equations (478) can reduce 73 to: % 22.26/5.74 | (1246) ~ (all_0_65_65 = e4) % 22.26/5.74 | % 22.26/5.74 | From (478) and (69) follows: % 22.26/5.74 | (4929) op(e4, e3) = all_0_24_24 % 22.26/5.74 | % 22.26/5.74 | From (478) and (79) follows: % 22.26/5.74 | (1170) op(e4, e1) = all_0_23_23 % 22.26/5.74 | % 22.26/5.74 | From (478) and (105) follows: % 22.26/5.74 | (4165) op(e3, e4) = all_0_40_40 % 22.26/5.74 | % 22.26/5.74 | From (478) and (163) follows: % 22.26/5.74 | (1171) op(e1, e4) = all_0_41_41 % 22.26/5.74 | % 22.26/5.74 | From (478) and (9) follows: % 22.26/5.74 | (5757) op(e1, e3) = e4 % 22.26/5.74 | % 22.26/5.74 +-Applying beta-rule and splitting (572), into two cases. % 22.26/5.74 |-Branch one: % 22.26/5.74 | (573) all_0_63_63 = e2 % 22.26/5.74 | % 22.26/5.74 | Equations (573) can reduce 366 to: % 22.26/5.74 | (251) $false % 22.26/5.74 | % 22.26/5.74 |-The branch is then unsatisfiable % 22.26/5.74 |-Branch two: % 22.26/5.74 | (366) ~ (all_0_63_63 = e2) % 22.26/5.74 | (576) all_0_63_63 = e0 % 22.26/5.74 | % 22.26/5.74 | From (576) and (129) follows: % 22.26/5.74 | (7414) op(e3, e1) = e0 % 22.26/5.74 | % 22.26/5.74 +-Applying beta-rule and splitting (239), into two cases. % 22.26/5.74 |-Branch one: % 22.26/5.74 | (292) all_0_68_68 = e3 % 22.26/5.74 | % 22.26/5.74 | Equations (292) can reduce 645 to: % 22.26/5.74 | (251) $false % 22.26/5.74 | % 22.26/5.74 |-The branch is then unsatisfiable % 22.26/5.74 |-Branch two: % 22.26/5.74 | (645) ~ (all_0_68_68 = e3) % 22.26/5.74 | (646) all_0_68_68 = e2 | all_0_68_68 = e0 % 22.26/5.74 | % 22.26/5.74 +-Applying beta-rule and splitting (68), into two cases. % 22.26/5.74 |-Branch one: % 22.26/5.74 | (278) all_0_60_60 = e2 % 22.26/5.74 | % 22.26/5.74 | Equations (278) can reduce 666 to: % 22.26/5.74 | (251) $false % 22.26/5.74 | % 22.26/5.74 |-The branch is then unsatisfiable % 22.26/5.74 |-Branch two: % 22.26/5.74 | (666) ~ (all_0_60_60 = e2) % 22.26/5.74 | (667) all_0_60_60 = e1 | all_0_60_60 = e0 % 22.26/5.74 | % 22.26/5.74 +-Applying beta-rule and splitting (646), into two cases. % 22.26/5.74 |-Branch one: % 22.26/5.74 | (729) all_0_68_68 = e2 % 22.26/5.74 | % 22.26/5.74 | Equations (729) can reduce 987 to: % 22.26/5.74 | (251) $false % 22.26/5.74 | % 22.26/5.74 |-The branch is then unsatisfiable % 22.26/5.74 |-Branch two: % 22.26/5.74 | (987) ~ (all_0_68_68 = e2) % 22.26/5.74 | (988) all_0_68_68 = e0 % 22.26/5.74 | % 22.26/5.74 | Equations (988) can reduce 83 to: % 22.26/5.74 | (267) ~ (all_0_60_60 = e0) % 22.26/5.74 | % 22.26/5.74 | From (988) and (37) follows: % 22.26/5.75 | (1533) op(e1, e4) = e0 % 22.26/5.75 | % 22.26/5.75 +-Applying beta-rule and splitting (667), into two cases. % 22.26/5.75 |-Branch one: % 22.26/5.75 | (647) all_0_60_60 = e1 % 22.26/5.75 | % 22.26/5.75 | Equations (647) can reduce 46 to: % 22.26/5.75 | (736) ~ (e3 = e1) % 22.26/5.75 | % 22.26/5.75 | Simplifying 736 yields: % 22.26/5.75 | (15) ~ (e3 = e1) % 22.26/5.75 | % 22.26/5.75 | Equations (647) can reduce 267 to: % 22.26/5.75 | (204) ~ (e1 = e0) % 22.26/5.75 | % 22.26/5.75 | From (647) and (88) follows: % 22.26/5.75 | (1231) op(e1, e4) = all_0_8_8 % 22.26/5.75 | % 22.26/5.75 | From (647) and (175) follows: % 22.26/5.75 | (679) op(e1, e3) = all_0_7_7 % 22.26/5.75 | % 22.26/5.75 | From (647) and (146) follows: % 22.26/5.75 | (1232) op(e4, e1) = all_0_29_29 % 22.26/5.75 | % 22.26/5.75 | From (647) and (64) follows: % 22.26/5.75 | (680) op(e3, e1) = all_0_30_30 % 22.26/5.75 | % 22.26/5.75 | From (647) and (242) follows: % 22.26/5.75 | (7437) op(e3, e4) = e1 % 22.26/5.75 | % 22.26/5.75 +-Applying beta-rule and splitting (166), into two cases. % 22.26/5.75 |-Branch one: % 22.26/5.75 | (306) all_0_64_64 = e1 % 22.26/5.75 | % 22.26/5.75 | Combining equations (302,306) yields a new equation: % 22.26/5.75 | (660) e3 = e1 % 22.26/5.75 | % 22.26/5.75 | Simplifying 660 yields: % 22.26/5.75 | (661) e3 = e1 % 22.26/5.75 | % 22.26/5.75 | Equations (661) can reduce 15 to: % 22.26/5.75 | (251) $false % 22.26/5.75 | % 22.26/5.75 |-The branch is then unsatisfiable % 22.26/5.75 |-Branch two: % 22.26/5.75 | (642) ~ (all_0_64_64 = e1) % 22.26/5.75 | (703) all_0_65_65 = e1 | all_0_66_66 = e1 % 22.26/5.75 | % 22.26/5.75 +-Applying beta-rule and splitting (703), into two cases. % 22.26/5.75 |-Branch one: % 22.26/5.75 | (619) all_0_65_65 = e1 % 22.26/5.75 | % 22.26/5.75 | Equations (619) can reduce 91 to: % 22.26/5.75 | (635) ~ (all_0_57_57 = e1) % 22.26/5.75 | % 22.26/5.75 | Equations (619) can reduce 1246 to: % 22.26/5.75 | (2010) ~ (e4 = e1) % 22.26/5.75 | % 22.26/5.75 | Simplifying 2010 yields: % 22.26/5.75 | (193) ~ (e4 = e1) % 22.26/5.75 | % 22.26/5.75 | From (619) and (188) follows: % 22.26/5.75 | (738) op(e1, e3) = all_0_17_17 % 22.26/5.75 | % 22.26/5.75 | From (619) and (231) follows: % 22.26/5.75 | (741) op(e2, e1) = all_0_39_39 % 22.26/5.75 | % 22.26/5.75 +-Applying beta-rule and splitting (201), into two cases. % 22.26/5.75 |-Branch one: % 22.26/5.75 | (335) all_0_57_57 = e2 % 22.26/5.75 | % 22.26/5.75 | Equations (335) can reduce 339 to: % 22.26/5.75 | (251) $false % 22.26/5.75 | % 22.26/5.75 |-The branch is then unsatisfiable % 22.26/5.75 |-Branch two: % 22.26/5.75 | (339) ~ (all_0_57_57 = e2) % 22.26/5.75 | (991) all_0_57_57 = e1 | all_0_57_57 = e0 % 22.26/5.75 | % 22.26/5.75 +-Applying beta-rule and splitting (991), into two cases. % 22.26/5.75 |-Branch one: % 22.26/5.75 | (313) all_0_57_57 = e1 % 22.26/5.75 | % 22.26/5.75 | Equations (313) can reduce 635 to: % 22.26/5.75 | (251) $false % 22.26/5.75 | % 22.26/5.75 |-The branch is then unsatisfiable % 22.26/5.75 |-Branch two: % 22.26/5.75 | (635) ~ (all_0_57_57 = e1) % 22.26/5.75 | (1840) all_0_57_57 = e0 % 22.26/5.75 | % 22.26/5.75 | Equations (1840) can reduce 71 to: % 22.26/5.75 | (262) ~ (all_0_58_58 = e0) % 22.26/5.75 | % 22.26/5.75 | Simplifying 262 yields: % 22.26/5.75 | (263) ~ (all_0_58_58 = e0) % 22.26/5.75 | % 22.26/5.75 | Equations (1840) can reduce 141 to: % 22.26/5.75 | (514) ~ (e4 = e0) % 22.26/5.75 | % 22.26/5.75 | Simplifying 514 yields: % 22.26/5.75 | (17) ~ (e4 = e0) % 22.26/5.75 | % 22.26/5.75 | Equations (1840) can reduce 124 to: % 22.26/5.75 | (272) ~ (e3 = e0) % 22.26/5.75 | % 22.26/5.75 | Simplifying 272 yields: % 22.26/5.75 | (36) ~ (e3 = e0) % 22.26/5.75 | % 22.26/5.75 | Equations (1840) can reduce 339 to: % 22.26/5.75 | (274) ~ (e2 = e0) % 22.26/5.75 | % 22.26/5.75 | Simplifying 274 yields: % 22.26/5.75 | (48) ~ (e2 = e0) % 22.26/5.75 | % 22.26/5.75 | Equations (1840) can reduce 635 to: % 22.26/5.75 | (276) ~ (e1 = e0) % 22.26/5.75 | % 22.26/5.75 | Simplifying 276 yields: % 22.26/5.75 | (204) ~ (e1 = e0) % 22.26/5.75 | % 22.26/5.75 | From (1840) and (197) follows: % 22.26/5.75 | (5295) op(e4, e3) = e0 % 22.26/5.75 | % 22.26/5.75 +-Applying beta-rule and splitting (210), into two cases. % 22.26/5.75 |-Branch one: % 22.26/5.75 | (323) all_0_58_58 = e1 % 22.26/5.75 | % 22.26/5.75 | Equations (323) can reduce 263 to: % 22.26/5.75 | (204) ~ (e1 = e0) % 22.26/5.75 | % 22.26/5.75 | From (323) and (159) follows: % 22.26/5.75 | (1205) op(e1, e4) = all_0_3_3 % 22.26/5.75 | % 22.26/5.75 | From (323) and (90) follows: % 22.26/5.75 | (1207) op(e4, e1) = all_0_43_43 % 22.26/5.75 | % 22.26/5.75 | From (323) and (192) follows: % 22.26/5.75 | (1209) op(e2, e1) = all_0_42_42 % 22.26/5.75 | % 22.26/5.75 | Instantiating formula (61) with e4, e3, all_0_24_24, all_0_10_10 and discharging atoms op(e4, e3) = all_0_10_10, op(e4, e3) = all_0_24_24, yields: % 22.26/5.75 | (7474) all_0_10_10 = all_0_24_24 % 22.26/5.75 | % 22.26/5.75 | Instantiating formula (61) with e4, e3, all_0_31_31, all_0_24_24 and discharging atoms op(e4, e3) = all_0_24_24, op(e4, e3) = all_0_31_31, yields: % 22.26/5.75 | (5005) all_0_24_24 = all_0_31_31 % 22.26/5.75 | % 22.26/5.75 | Instantiating formula (61) with e4, e3, all_0_50_50, all_0_31_31 and discharging atoms op(e4, e3) = all_0_31_31, op(e4, e3) = all_0_50_50, yields: % 22.26/5.75 | (7476) all_0_31_31 = all_0_50_50 % 22.26/5.75 | % 22.26/5.75 | Instantiating formula (61) with e4, e3, e0, all_0_10_10 and discharging atoms op(e4, e3) = all_0_10_10, op(e4, e3) = e0, yields: % 22.26/5.75 | (6962) all_0_10_10 = e0 % 22.26/5.75 | % 22.26/5.75 | Instantiating formula (61) with e4, e1, all_0_23_23, all_0_20_20 and discharging atoms op(e4, e1) = all_0_20_20, op(e4, e1) = all_0_23_23, yields: % 22.26/5.75 | (1337) all_0_20_20 = all_0_23_23 % 22.26/5.75 | % 22.26/5.75 | Instantiating formula (61) with e4, e1, all_0_29_29, all_0_20_20 and discharging atoms op(e4, e1) = all_0_20_20, op(e4, e1) = all_0_29_29, yields: % 22.26/5.75 | (1338) all_0_20_20 = all_0_29_29 % 22.26/5.75 | % 22.26/5.75 | Instantiating formula (61) with e4, e1, all_0_43_43, all_0_23_23 and discharging atoms op(e4, e1) = all_0_23_23, op(e4, e1) = all_0_43_43, yields: % 22.26/5.75 | (1339) all_0_23_23 = all_0_43_43 % 22.26/5.75 | % 22.26/5.75 | Instantiating formula (61) with e4, e1, e3, all_0_23_23 and discharging atoms op(e4, e1) = all_0_23_23, op(e4, e1) = e3, yields: % 22.26/5.75 | (432) all_0_23_23 = e3 % 22.26/5.75 | % 22.26/5.75 | Instantiating formula (61) with e3, e4, all_0_15_15, all_0_5_5 and discharging atoms op(e3, e4) = all_0_5_5, op(e3, e4) = all_0_15_15, yields: % 22.26/5.75 | (4259) all_0_5_5 = all_0_15_15 % 22.26/5.75 | % 22.26/5.75 | Instantiating formula (61) with e3, e4, all_0_40_40, all_0_15_15 and discharging atoms op(e3, e4) = all_0_15_15, op(e3, e4) = all_0_40_40, yields: % 22.26/5.75 | (5012) all_0_15_15 = all_0_40_40 % 22.26/5.75 | % 22.26/5.75 | Instantiating formula (61) with e3, e4, e1, all_0_5_5 and discharging atoms op(e3, e4) = all_0_5_5, op(e3, e4) = e1, yields: % 22.26/5.75 | (1660) all_0_5_5 = e1 % 22.26/5.75 | % 22.26/5.75 | Instantiating formula (61) with e3, e1, all_0_25_25, all_0_6_6 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = all_0_25_25, yields: % 22.26/5.75 | (782) all_0_6_6 = all_0_25_25 % 22.26/5.75 | % 22.26/5.75 | Instantiating formula (61) with e3, e1, all_0_30_30, all_0_25_25 and discharging atoms op(e3, e1) = all_0_25_25, op(e3, e1) = all_0_30_30, yields: % 22.26/5.75 | (783) all_0_25_25 = all_0_30_30 % 22.26/5.75 | % 22.26/5.75 | Instantiating formula (61) with e3, e1, e0, all_0_6_6 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = e0, yields: % 22.26/5.75 | (1663) all_0_6_6 = e0 % 22.26/5.75 | % 22.26/5.75 | Instantiating formula (61) with e2, e1, all_0_42_42, all_0_39_39 and discharging atoms op(e2, e1) = all_0_39_39, op(e2, e1) = all_0_42_42, yields: % 22.26/5.75 | (1348) all_0_39_39 = all_0_42_42 % 22.26/5.75 | % 22.26/5.75 | Instantiating formula (61) with e2, e1, e4, all_0_39_39 and discharging atoms op(e2, e1) = all_0_39_39, op(e2, e1) = e4, yields: % 22.26/5.75 | (1377) all_0_39_39 = e4 % 22.26/5.75 | % 22.26/5.75 | Instantiating formula (61) with e1, e4, all_0_8_8, all_0_3_3 and discharging atoms op(e1, e4) = all_0_3_3, op(e1, e4) = all_0_8_8, yields: % 22.26/5.75 | (1350) all_0_3_3 = all_0_8_8 % 22.26/5.75 | % 22.26/5.75 | Instantiating formula (61) with e1, e4, all_0_41_41, all_0_3_3 and discharging atoms op(e1, e4) = all_0_3_3, op(e1, e4) = all_0_41_41, yields: % 22.26/5.75 | (1351) all_0_3_3 = all_0_41_41 % 22.26/5.75 | % 22.26/5.75 | Instantiating formula (61) with e1, e4, all_0_53_53, all_0_3_3 and discharging atoms op(e1, e4) = all_0_3_3, op(e1, e4) = all_0_53_53, yields: % 22.26/5.75 | (7492) all_0_3_3 = all_0_53_53 % 22.26/5.75 | % 22.26/5.75 | Instantiating formula (61) with e1, e4, e0, all_0_41_41 and discharging atoms op(e1, e4) = all_0_41_41, op(e1, e4) = e0, yields: % 22.26/5.75 | (7493) all_0_41_41 = e0 % 22.26/5.75 | % 22.26/5.75 | Instantiating formula (61) with e1, e3, all_0_17_17, all_0_7_7 and discharging atoms op(e1, e3) = all_0_7_7, op(e1, e3) = all_0_17_17, yields: % 22.26/5.75 | (794) all_0_7_7 = all_0_17_17 % 22.26/5.75 | % 22.26/5.75 | Instantiating formula (61) with e1, e3, all_0_48_48, all_0_7_7 and discharging atoms op(e1, e3) = all_0_7_7, op(e1, e3) = all_0_48_48, yields: % 22.26/5.75 | (7495) all_0_7_7 = all_0_48_48 % 22.26/5.75 | % 22.26/5.75 | Instantiating formula (61) 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: % 22.26/5.75 | (7496) all_0_48_48 = all_0_49_49 % 22.26/5.75 | % 22.26/5.75 | Instantiating formula (61) with e1, e3, e4, all_0_7_7 and discharging atoms op(e1, e3) = all_0_7_7, op(e1, e3) = e4, yields: % 22.26/5.75 | (4568) all_0_7_7 = e4 % 22.26/5.75 | % 22.26/5.75 | Combining equations (1351,1350) yields a new equation: % 22.26/5.75 | (1361) all_0_8_8 = all_0_41_41 % 22.26/5.75 | % 22.26/5.75 | Combining equations (7492,1350) yields a new equation: % 22.26/5.75 | (1352) all_0_8_8 = all_0_53_53 % 22.26/5.75 | % 22.26/5.75 | Combining equations (4259,1660) yields a new equation: % 22.26/5.75 | (7500) all_0_15_15 = e1 % 22.26/5.75 | % 22.26/5.75 | Simplifying 7500 yields: % 22.26/5.75 | (7501) all_0_15_15 = e1 % 22.26/5.75 | % 22.26/5.75 | Combining equations (782,1663) yields a new equation: % 22.26/5.75 | (7502) all_0_25_25 = e0 % 22.26/5.75 | % 22.26/5.75 | Simplifying 7502 yields: % 22.26/5.75 | (6943) all_0_25_25 = e0 % 22.26/5.75 | % 22.26/5.75 | Combining equations (4568,794) yields a new equation: % 22.26/5.75 | (7504) all_0_17_17 = e4 % 22.26/5.75 | % 22.26/5.75 | Combining equations (7495,794) yields a new equation: % 22.26/5.75 | (795) all_0_17_17 = all_0_48_48 % 22.26/5.75 | % 22.26/5.75 | Combining equations (1361,1352) yields a new equation: % 22.26/5.76 | (7506) all_0_41_41 = all_0_53_53 % 22.26/5.76 | % 22.26/5.76 | Simplifying 7506 yields: % 22.26/5.76 | (1365) all_0_41_41 = all_0_53_53 % 22.26/5.76 | % 22.26/5.76 | Combining equations (7474,6962) yields a new equation: % 22.26/5.76 | (7508) all_0_24_24 = e0 % 22.26/5.76 | % 22.26/5.76 | Simplifying 7508 yields: % 22.26/5.76 | (7509) all_0_24_24 = e0 % 22.26/5.76 | % 22.26/5.76 | Combining equations (5012,7501) yields a new equation: % 22.26/5.76 | (451) all_0_40_40 = e1 % 22.26/5.76 | % 22.26/5.76 | Simplifying 451 yields: % 22.26/5.76 | (452) all_0_40_40 = e1 % 22.26/5.76 | % 22.26/5.76 | Combining equations (795,7504) yields a new equation: % 22.26/5.76 | (7512) all_0_48_48 = e4 % 22.26/5.76 | % 22.26/5.76 | Simplifying 7512 yields: % 22.26/5.76 | (7513) all_0_48_48 = e4 % 22.26/5.76 | % 22.26/5.76 | Combining equations (1337,1338) yields a new equation: % 22.26/5.76 | (1374) all_0_23_23 = all_0_29_29 % 22.26/5.76 | % 22.26/5.76 | Simplifying 1374 yields: % 22.26/5.76 | (1375) all_0_23_23 = all_0_29_29 % 22.26/5.76 | % 22.26/5.76 | Combining equations (1339,1375) yields a new equation: % 22.26/5.76 | (1380) all_0_29_29 = all_0_43_43 % 22.26/5.76 | % 22.26/5.76 | Combining equations (432,1375) yields a new equation: % 22.26/5.76 | (5421) all_0_29_29 = e3 % 22.26/5.76 | % 22.26/5.76 | Combining equations (5005,7509) yields a new equation: % 22.26/5.76 | (7518) all_0_31_31 = e0 % 22.26/5.76 | % 22.26/5.76 | Simplifying 7518 yields: % 22.26/5.76 | (6982) all_0_31_31 = e0 % 22.26/5.76 | % 22.26/5.76 | Combining equations (783,6943) yields a new equation: % 22.26/5.76 | (5424) all_0_30_30 = e0 % 22.26/5.76 | % 22.26/5.76 | Simplifying 5424 yields: % 22.26/5.76 | (5425) all_0_30_30 = e0 % 22.26/5.76 | % 22.26/5.76 | Combining equations (1380,5421) yields a new equation: % 22.26/5.76 | (7522) all_0_43_43 = e3 % 22.26/5.76 | % 22.26/5.76 | Simplifying 7522 yields: % 22.26/5.76 | (7523) all_0_43_43 = e3 % 22.26/5.76 | % 22.26/5.76 | Combining equations (7476,6982) yields a new equation: % 22.26/5.76 | (1698) all_0_50_50 = e0 % 22.26/5.76 | % 22.26/5.76 | Simplifying 1698 yields: % 22.26/5.76 | (1699) all_0_50_50 = e0 % 22.26/5.76 | % 22.26/5.76 | Combining equations (1377,1348) yields a new equation: % 22.26/5.76 | (1386) all_0_42_42 = e4 % 22.26/5.76 | % 22.26/5.76 | Combining equations (7493,1365) yields a new equation: % 22.26/5.76 | (7527) all_0_53_53 = e0 % 22.26/5.76 | % 22.26/5.76 | Combining equations (7496,7513) yields a new equation: % 22.26/5.76 | (1702) all_0_49_49 = e4 % 22.26/5.76 | % 22.26/5.76 | Simplifying 1702 yields: % 22.26/5.76 | (1703) all_0_49_49 = e4 % 22.26/5.76 | % 22.26/5.76 | Combining equations (7527,1365) yields a new equation: % 22.26/5.76 | (7493) all_0_41_41 = e0 % 22.26/5.76 | % 22.26/5.76 +-Applying beta-rule and splitting (183), into two cases. % 22.26/5.76 |-Branch one: % 22.26/5.76 | (462) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) | (( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3)) | (( ~ (all_0_42_42 = e4) | all_0_43_43 = e2) & ( ~ (all_0_44_44 = e3) | all_0_45_45 = e2) & ( ~ (all_0_47_47 = e1) | all_0_48_48 = e2)) % 22.26/5.76 | % 22.26/5.76 +-Applying beta-rule and splitting (462), into two cases. % 22.26/5.76 |-Branch one: % 22.26/5.76 | (463) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) | (( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3)) % 22.26/5.76 | % 22.26/5.76 +-Applying beta-rule and splitting (463), into two cases. % 22.26/5.76 |-Branch one: % 22.26/5.76 | (464) (all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0) | (( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4)) % 22.26/5.76 | % 22.26/5.76 +-Applying beta-rule and splitting (464), into two cases. % 22.26/5.76 |-Branch one: % 22.26/5.76 | (465) all_0_56_56 = e0 & all_0_61_61 = e0 & all_0_66_66 = e0 & all_0_71_71 = e0 % 22.26/5.76 | % 22.26/5.76 | Applying alpha-rule on (465) yields: % 22.26/5.76 | (261) all_0_56_56 = e0 % 22.26/5.76 | (467) all_0_61_61 = e0 % 22.26/5.76 | (468) all_0_66_66 = e0 % 22.26/5.76 | (469) all_0_71_71 = e0 % 22.26/5.76 | % 22.26/5.76 | Combining equations (563,469) yields a new equation: % 22.26/5.76 | (354) e2 = e0 % 22.26/5.76 | % 22.26/5.76 | Simplifying 354 yields: % 22.26/5.76 | (355) e2 = e0 % 22.26/5.76 | % 22.26/5.76 | Equations (355) can reduce 48 to: % 22.26/5.76 | (251) $false % 22.26/5.76 | % 22.26/5.76 |-The branch is then unsatisfiable % 22.26/5.76 |-Branch two: % 22.26/5.76 | (578) ( ~ (all_0_29_29 = e3) | all_0_30_30 = e4) & ( ~ (all_0_31_31 = e2) | all_0_32_32 = e4) & ( ~ (all_0_33_33 = e1) | all_0_34_34 = e4) % 22.26/5.76 | % 22.26/5.76 | Applying alpha-rule on (578) yields: % 22.26/5.76 | (579) ~ (all_0_29_29 = e3) | all_0_30_30 = e4 % 22.26/5.76 | (580) ~ (all_0_31_31 = e2) | all_0_32_32 = e4 % 22.26/5.76 | (581) ~ (all_0_33_33 = e1) | all_0_34_34 = e4 % 22.26/5.76 | % 22.26/5.76 +-Applying beta-rule and splitting (579), into two cases. % 22.26/5.76 |-Branch one: % 22.26/5.76 | (5449) ~ (all_0_29_29 = e3) % 22.26/5.76 | % 22.26/5.76 | Equations (5421) can reduce 5449 to: % 22.26/5.76 | (251) $false % 22.26/5.76 | % 22.26/5.76 |-The branch is then unsatisfiable % 22.26/5.76 |-Branch two: % 22.26/5.76 | (5421) all_0_29_29 = e3 % 22.26/5.76 | (5452) all_0_30_30 = e4 % 22.26/5.76 | % 22.26/5.77 | Combining equations (5425,5452) yields a new equation: % 22.26/5.77 | (510) e4 = e0 % 22.26/5.77 | % 22.26/5.77 | Equations (510) can reduce 17 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (588) ( ~ (all_0_35_35 = e4) | all_0_36_36 = e3) & ( ~ (all_0_38_38 = e2) | all_0_39_39 = e3) & ( ~ (all_0_40_40 = e1) | all_0_41_41 = e3) % 22.26/5.77 | % 22.26/5.77 | Applying alpha-rule on (588) yields: % 22.26/5.77 | (589) ~ (all_0_35_35 = e4) | all_0_36_36 = e3 % 22.26/5.77 | (590) ~ (all_0_38_38 = e2) | all_0_39_39 = e3 % 22.26/5.77 | (591) ~ (all_0_40_40 = e1) | all_0_41_41 = e3 % 22.26/5.77 | % 22.26/5.77 +-Applying beta-rule and splitting (591), into two cases. % 22.26/5.77 |-Branch one: % 22.26/5.77 | (592) ~ (all_0_40_40 = e1) % 22.26/5.77 | % 22.26/5.77 | Equations (452) can reduce 592 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (452) all_0_40_40 = e1 % 22.26/5.77 | (595) all_0_41_41 = e3 % 22.26/5.77 | % 22.26/5.77 | Combining equations (595,7493) yields a new equation: % 22.26/5.77 | (390) e3 = e0 % 22.26/5.77 | % 22.26/5.77 | Simplifying 390 yields: % 22.26/5.77 | (391) e3 = e0 % 22.26/5.77 | % 22.26/5.77 | Equations (391) can reduce 36 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (599) ( ~ (all_0_42_42 = e4) | all_0_43_43 = e2) & ( ~ (all_0_44_44 = e3) | all_0_45_45 = e2) & ( ~ (all_0_47_47 = e1) | all_0_48_48 = e2) % 22.26/5.77 | % 22.26/5.77 | Applying alpha-rule on (599) yields: % 22.26/5.77 | (600) ~ (all_0_42_42 = e4) | all_0_43_43 = e2 % 22.26/5.77 | (601) ~ (all_0_44_44 = e3) | all_0_45_45 = e2 % 22.26/5.77 | (602) ~ (all_0_47_47 = e1) | all_0_48_48 = e2 % 22.26/5.77 | % 22.26/5.77 +-Applying beta-rule and splitting (600), into two cases. % 22.26/5.77 |-Branch one: % 22.26/5.77 | (1426) ~ (all_0_42_42 = e4) % 22.26/5.77 | % 22.26/5.77 | Equations (1386) can reduce 1426 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (1386) all_0_42_42 = e4 % 22.26/5.77 | (1429) all_0_43_43 = e2 % 22.26/5.77 | % 22.26/5.77 | Combining equations (1429,7523) yields a new equation: % 22.26/5.77 | (376) e3 = e2 % 22.26/5.77 | % 22.26/5.77 | Equations (376) can reduce 128 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (610) ( ~ (all_0_49_49 = e4) | all_0_50_50 = e1) & ( ~ (all_0_51_51 = e3) | all_0_52_52 = e1) & ( ~ (all_0_53_53 = e2) | all_0_54_54 = e1) % 22.26/5.77 | % 22.26/5.77 | Applying alpha-rule on (610) yields: % 22.26/5.77 | (611) ~ (all_0_49_49 = e4) | all_0_50_50 = e1 % 22.26/5.77 | (612) ~ (all_0_51_51 = e3) | all_0_52_52 = e1 % 22.26/5.77 | (613) ~ (all_0_53_53 = e2) | all_0_54_54 = e1 % 22.26/5.77 | % 22.26/5.77 +-Applying beta-rule and splitting (611), into two cases. % 22.26/5.77 |-Branch one: % 22.26/5.77 | (1753) ~ (all_0_49_49 = e4) % 22.26/5.77 | % 22.26/5.77 | Equations (1703) can reduce 1753 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (1703) all_0_49_49 = e4 % 22.26/5.77 | (1756) all_0_50_50 = e1 % 22.26/5.77 | % 22.26/5.77 | Combining equations (1756,1699) yields a new equation: % 22.26/5.77 | (287) e1 = e0 % 22.26/5.77 | % 22.26/5.77 | Simplifying 287 yields: % 22.26/5.77 | (288) e1 = e0 % 22.26/5.77 | % 22.26/5.77 | Equations (288) can reduce 204 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (315) ~ (all_0_58_58 = e1) % 22.26/5.77 | (326) all_0_62_62 = e1 | all_0_66_66 = e1 % 22.26/5.77 | % 22.26/5.77 +-Applying beta-rule and splitting (326), into two cases. % 22.26/5.77 |-Branch one: % 22.26/5.77 | (327) all_0_62_62 = e1 % 22.26/5.77 | % 22.26/5.77 | Combining equations (845,327) yields a new equation: % 22.26/5.77 | (2018) e4 = e1 % 22.26/5.77 | % 22.26/5.77 | Simplifying 2018 yields: % 22.26/5.77 | (1244) e4 = e1 % 22.26/5.77 | % 22.26/5.77 | Equations (1244) can reduce 193 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (632) ~ (all_0_62_62 = e1) % 22.26/5.77 | (546) all_0_66_66 = e1 % 22.26/5.77 | % 22.26/5.77 | Combining equations (468,546) yields a new equation: % 22.26/5.77 | (288) e1 = e0 % 22.26/5.77 | % 22.26/5.77 | Equations (288) can reduce 204 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (308) ~ (all_0_65_65 = e1) % 22.26/5.77 | (546) all_0_66_66 = e1 % 22.26/5.77 | % 22.26/5.77 | Combining equations (468,546) yields a new equation: % 22.26/5.77 | (288) e1 = e0 % 22.26/5.77 | % 22.26/5.77 | Equations (288) can reduce 204 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (651) ~ (all_0_60_60 = e1) % 22.26/5.77 | (1119) all_0_60_60 = e0 % 22.26/5.77 | % 22.26/5.77 | Equations (1119) can reduce 267 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (482) ~ (all_0_69_69 = e4) % 22.26/5.77 | (483) all_0_70_70 = e4 | all_0_71_71 = e4 % 22.26/5.77 | % 22.26/5.77 +-Applying beta-rule and splitting (483), into two cases. % 22.26/5.77 |-Branch one: % 22.26/5.77 | (500) all_0_70_70 = e4 % 22.26/5.77 | % 22.26/5.77 | Combining equations (597,500) yields a new equation: % 22.26/5.77 | (935) e4 = e3 % 22.26/5.77 | % 22.26/5.77 | Equations (935) can reduce 130 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (567) ~ (all_0_70_70 = e4) % 22.26/5.77 | (552) all_0_71_71 = e4 % 22.26/5.77 | % 22.26/5.77 | Combining equations (552,563) yields a new equation: % 22.26/5.77 | (479) e4 = e2 % 22.26/5.77 | % 22.26/5.77 | Simplifying 479 yields: % 22.26/5.77 | (480) e4 = e2 % 22.26/5.77 | % 22.26/5.77 | Equations (480) can reduce 49 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (920) ~ (all_0_62_62 = e4) % 22.26/5.77 | (2296) all_0_66_66 = e4 | all_0_70_70 = e4 % 22.26/5.77 | % 22.26/5.77 +-Applying beta-rule and splitting (2296), into two cases. % 22.26/5.77 |-Branch one: % 22.26/5.77 | (530) all_0_66_66 = e4 % 22.26/5.77 | % 22.26/5.77 | Combining equations (468,530) yields a new equation: % 22.26/5.77 | (510) e4 = e0 % 22.26/5.77 | % 22.26/5.77 | Equations (510) can reduce 17 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (534) ~ (all_0_66_66 = e4) % 22.26/5.77 | (500) all_0_70_70 = e4 % 22.26/5.77 | % 22.26/5.77 | Combining equations (597,500) yields a new equation: % 22.26/5.77 | (935) e4 = e3 % 22.26/5.77 | % 22.26/5.77 | Equations (935) can reduce 130 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (378) ~ (all_0_59_59 = e3) % 22.26/5.77 | (379) all_0_67_67 = e3 | all_0_71_71 = e3 % 22.26/5.77 | % 22.26/5.77 +-Applying beta-rule and splitting (74), into two cases. % 22.26/5.77 |-Branch one: % 22.26/5.77 | (509) all_0_61_61 = e4 % 22.26/5.77 | % 22.26/5.77 | Combining equations (509,341) yields a new equation: % 22.26/5.77 | (479) e4 = e2 % 22.26/5.77 | % 22.26/5.77 | Simplifying 479 yields: % 22.26/5.77 | (480) e4 = e2 % 22.26/5.77 | % 22.26/5.77 | Equations (480) can reduce 49 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (512) ~ (all_0_61_61 = e4) % 22.26/5.77 | (2758) all_0_62_62 = e4 | all_0_63_63 = e4 % 22.26/5.77 | % 22.26/5.77 | Equations (341) can reduce 512 to: % 22.26/5.77 | (371) ~ (e4 = e2) % 22.26/5.77 | % 22.26/5.77 | Simplifying 371 yields: % 22.26/5.77 | (49) ~ (e4 = e2) % 22.26/5.77 | % 22.26/5.77 +-Applying beta-rule and splitting (149), into two cases. % 22.26/5.77 |-Branch one: % 22.26/5.77 | (509) all_0_61_61 = e4 % 22.26/5.77 | % 22.26/5.77 | Combining equations (509,341) yields a new equation: % 22.26/5.77 | (479) e4 = e2 % 22.26/5.77 | % 22.26/5.77 | Simplifying 479 yields: % 22.26/5.77 | (480) e4 = e2 % 22.26/5.77 | % 22.26/5.77 | Equations (480) can reduce 49 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (512) ~ (all_0_61_61 = e4) % 22.26/5.77 | (1976) all_0_65_65 = e4 | all_0_69_69 = e4 % 22.26/5.77 | % 22.26/5.77 +-Applying beta-rule and splitting (572), into two cases. % 22.26/5.77 |-Branch one: % 22.26/5.77 | (573) all_0_63_63 = e2 % 22.26/5.77 | % 22.26/5.77 | Equations (573) can reduce 366 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (366) ~ (all_0_63_63 = e2) % 22.26/5.77 | (576) all_0_63_63 = e0 % 22.26/5.77 | % 22.26/5.77 | Equations (576) can reduce 571 to: % 22.26/5.77 | (514) ~ (e4 = e0) % 22.26/5.77 | % 22.26/5.77 | Simplifying 514 yields: % 22.26/5.77 | (17) ~ (e4 = e0) % 22.26/5.77 | % 22.26/5.77 | Equations (576) can reduce 366 to: % 22.26/5.77 | (274) ~ (e2 = e0) % 22.26/5.77 | % 22.26/5.77 | Simplifying 274 yields: % 22.26/5.77 | (48) ~ (e2 = e0) % 22.26/5.77 | % 22.26/5.77 | Equations (576) can reduce 119 to: % 22.26/5.77 | (276) ~ (e1 = e0) % 22.26/5.77 | % 22.26/5.77 | Simplifying 276 yields: % 22.26/5.77 | (204) ~ (e1 = e0) % 22.26/5.77 | % 22.26/5.77 +-Applying beta-rule and splitting (1976), into two cases. % 22.26/5.77 |-Branch one: % 22.26/5.77 | (1243) all_0_65_65 = e4 % 22.26/5.77 | % 22.26/5.77 | Equations (1243) can reduce 1246 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (1246) ~ (all_0_65_65 = e4) % 22.26/5.77 | (478) all_0_69_69 = e4 % 22.26/5.77 | % 22.26/5.77 | Equations (478) can reduce 18 to: % 22.26/5.77 | (141) ~ (all_0_57_57 = e4) % 22.26/5.77 | % 22.26/5.77 | Equations (478) can reduce 194 to: % 22.26/5.77 | (14) ~ (all_0_68_68 = e4) % 22.26/5.77 | % 22.26/5.77 +-Applying beta-rule and splitting (2), into two cases. % 22.26/5.77 |-Branch one: % 22.26/5.77 | (1840) all_0_57_57 = e0 % 22.26/5.77 | % 22.26/5.77 | Equations (1840) can reduce 141 to: % 22.26/5.77 | (514) ~ (e4 = e0) % 22.26/5.77 | % 22.26/5.77 | Simplifying 514 yields: % 22.26/5.77 | (17) ~ (e4 = e0) % 22.26/5.77 | % 22.26/5.77 | Equations (1840) can reduce 339 to: % 22.26/5.77 | (274) ~ (e2 = e0) % 22.26/5.77 | % 22.26/5.77 | Simplifying 274 yields: % 22.26/5.77 | (48) ~ (e2 = e0) % 22.26/5.77 | % 22.26/5.77 +-Applying beta-rule and splitting (57), into two cases. % 22.26/5.77 |-Branch one: % 22.26/5.77 | (988) all_0_68_68 = e0 % 22.26/5.77 | % 22.26/5.77 | Equations (988) can reduce 14 to: % 22.26/5.77 | (514) ~ (e4 = e0) % 22.26/5.77 | % 22.26/5.77 | Simplifying 514 yields: % 22.26/5.77 | (17) ~ (e4 = e0) % 22.26/5.77 | % 22.26/5.77 +-Applying beta-rule and splitting (2758), into two cases. % 22.26/5.77 |-Branch one: % 22.26/5.77 | (845) all_0_62_62 = e4 % 22.26/5.77 | % 22.26/5.77 | Equations (845) can reduce 41 to: % 22.26/5.77 | (130) ~ (e4 = e3) % 22.26/5.77 | % 22.26/5.77 +-Applying beta-rule and splitting (379), into two cases. % 22.26/5.77 |-Branch one: % 22.26/5.77 | (380) all_0_67_67 = e3 % 22.26/5.77 | % 22.26/5.77 | Combining equations (1251,380) yields a new equation: % 22.26/5.77 | (1463) e4 = e3 % 22.26/5.77 | % 22.26/5.77 | Simplifying 1463 yields: % 22.26/5.77 | (935) e4 = e3 % 22.26/5.77 | % 22.26/5.77 | Equations (935) can reduce 130 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (629) ~ (all_0_67_67 = e3) % 22.26/5.77 | (558) all_0_71_71 = e3 % 22.26/5.77 | % 22.26/5.77 | Combining equations (558,563) yields a new equation: % 22.26/5.77 | (1620) e3 = e2 % 22.26/5.77 | % 22.26/5.77 | Simplifying 1620 yields: % 22.26/5.77 | (376) e3 = e2 % 22.26/5.77 | % 22.26/5.77 | Equations (376) can reduce 128 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (920) ~ (all_0_62_62 = e4) % 22.26/5.77 | (498) all_0_63_63 = e4 % 22.26/5.77 | % 22.26/5.77 | Combining equations (498,576) yields a new equation: % 22.26/5.77 | (531) e4 = e0 % 22.26/5.77 | % 22.26/5.77 | Simplifying 531 yields: % 22.26/5.77 | (510) e4 = e0 % 22.26/5.77 | % 22.26/5.77 | Equations (510) can reduce 17 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (271) ~ (all_0_68_68 = e0) % 22.26/5.77 | (2049) all_0_69_69 = e0 | all_0_70_70 = e0 | all_0_71_71 = e0 % 22.26/5.77 | % 22.26/5.77 +-Applying beta-rule and splitting (2049), into two cases. % 22.26/5.77 |-Branch one: % 22.26/5.77 | (1481) all_0_69_69 = e0 % 22.26/5.77 | % 22.26/5.77 | Combining equations (478,1481) yields a new equation: % 22.26/5.77 | (531) e4 = e0 % 22.26/5.77 | % 22.26/5.77 | Simplifying 531 yields: % 22.26/5.77 | (510) e4 = e0 % 22.26/5.77 | % 22.26/5.77 | Equations (510) can reduce 17 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (1156) ~ (all_0_69_69 = e0) % 22.26/5.77 | (2080) all_0_70_70 = e0 | all_0_71_71 = e0 % 22.26/5.77 | % 22.26/5.77 +-Applying beta-rule and splitting (2080), into two cases. % 22.26/5.77 |-Branch one: % 22.26/5.77 | (1323) all_0_70_70 = e0 % 22.26/5.77 | % 22.26/5.77 | Equations (1323) can reduce 471 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (471) ~ (all_0_70_70 = e0) % 22.26/5.77 | (469) all_0_71_71 = e0 % 22.26/5.77 | % 22.26/5.77 | Combining equations (469,563) yields a new equation: % 22.26/5.77 | (355) e2 = e0 % 22.26/5.77 | % 22.26/5.77 | Equations (355) can reduce 48 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (1147) ~ (all_0_57_57 = e0) % 22.26/5.77 | (2532) all_0_61_61 = e0 | all_0_65_65 = e0 | all_0_69_69 = e0 % 22.26/5.77 | % 22.26/5.77 +-Applying beta-rule and splitting (166), into two cases. % 22.26/5.77 |-Branch one: % 22.26/5.77 | (306) all_0_64_64 = e1 % 22.26/5.77 | % 22.26/5.77 | Combining equations (302,306) yields a new equation: % 22.26/5.77 | (660) e3 = e1 % 22.26/5.77 | % 22.26/5.77 | Simplifying 660 yields: % 22.26/5.77 | (661) e3 = e1 % 22.26/5.77 | % 22.26/5.77 | Equations (661) can reduce 15 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (642) ~ (all_0_64_64 = e1) % 22.26/5.77 | (703) all_0_65_65 = e1 | all_0_66_66 = e1 % 22.26/5.77 | % 22.26/5.77 +-Applying beta-rule and splitting (2532), into two cases. % 22.26/5.77 |-Branch one: % 22.26/5.77 | (467) all_0_61_61 = e0 % 22.26/5.77 | % 22.26/5.77 | Combining equations (467,341) yields a new equation: % 22.26/5.77 | (355) e2 = e0 % 22.26/5.77 | % 22.26/5.77 | Equations (355) can reduce 48 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (2164) ~ (all_0_61_61 = e0) % 22.26/5.77 | (2540) all_0_65_65 = e0 | all_0_69_69 = e0 % 22.26/5.77 | % 22.26/5.77 +-Applying beta-rule and splitting (703), into two cases. % 22.26/5.77 |-Branch one: % 22.26/5.77 | (619) all_0_65_65 = e1 % 22.26/5.77 | % 22.26/5.77 | Equations (619) can reduce 1154 to: % 22.26/5.77 | (204) ~ (e1 = e0) % 22.26/5.77 | % 22.26/5.77 +-Applying beta-rule and splitting (2540), into two cases. % 22.26/5.77 |-Branch one: % 22.26/5.77 | (1448) all_0_65_65 = e0 % 22.26/5.77 | % 22.26/5.77 | Combining equations (619,1448) yields a new equation: % 22.26/5.77 | (287) e1 = e0 % 22.26/5.77 | % 22.26/5.77 | Simplifying 287 yields: % 22.26/5.77 | (288) e1 = e0 % 22.26/5.77 | % 22.26/5.77 | Equations (288) can reduce 204 to: % 22.26/5.77 | (251) $false % 22.26/5.77 | % 22.26/5.77 |-The branch is then unsatisfiable % 22.26/5.77 |-Branch two: % 22.26/5.77 | (1154) ~ (all_0_65_65 = e0) % 22.26/5.78 | (1481) all_0_69_69 = e0 % 22.26/5.78 | % 22.26/5.78 | Combining equations (478,1481) yields a new equation: % 22.26/5.78 | (531) e4 = e0 % 22.26/5.78 | % 22.26/5.78 | Simplifying 531 yields: % 22.26/5.78 | (510) e4 = e0 % 22.26/5.78 | % 22.26/5.78 | Equations (510) can reduce 17 to: % 22.26/5.78 | (251) $false % 22.26/5.78 | % 22.26/5.78 |-The branch is then unsatisfiable % 22.26/5.78 |-Branch two: % 22.26/5.78 | (308) ~ (all_0_65_65 = e1) % 22.26/5.78 | (546) all_0_66_66 = e1 % 22.26/5.78 | % 22.26/5.78 | Combining equations (468,546) yields a new equation: % 22.26/5.78 | (288) e1 = e0 % 22.26/5.78 | % 22.26/5.78 | Equations (288) can reduce 204 to: % 22.26/5.78 | (251) $false % 22.26/5.78 | % 22.26/5.78 |-The branch is then unsatisfiable % 22.26/5.78 |-Branch two: % 22.26/5.78 | (293) ~ (all_0_64_64 = e3) % 22.26/5.78 | (1266) all_0_66_66 = e3 | all_0_67_67 = e3 % 22.26/5.78 | % 22.26/5.78 +-Applying beta-rule and splitting (1266), into two cases. % 22.26/5.78 |-Branch one: % 22.26/5.78 | (538) all_0_66_66 = e3 % 22.26/5.78 | % 22.26/5.78 | Combining equations (468,538) yields a new equation: % 22.26/5.78 | (391) e3 = e0 % 22.26/5.78 | % 22.26/5.78 | Equations (391) can reduce 36 to: % 22.26/5.78 | (251) $false % 22.26/5.78 | % 22.26/5.78 |-The branch is then unsatisfiable % 22.26/5.78 |-Branch two: % 22.26/5.78 | (542) ~ (all_0_66_66 = e3) % 22.26/5.78 | (380) all_0_67_67 = e3 % 22.26/5.78 | % 22.26/5.78 | Combining equations (1251,380) yields a new equation: % 22.26/5.78 | (1463) e4 = e3 % 22.26/5.78 | % 22.26/5.78 | Simplifying 1463 yields: % 22.26/5.78 | (935) e4 = e3 % 22.26/5.78 | % 22.26/5.78 | Equations (935) can reduce 130 to: % 22.26/5.78 | (251) $false % 22.26/5.78 | % 22.26/5.78 |-The branch is then unsatisfiable % 22.26/5.78 |-Branch two: % 22.26/5.78 | (546) all_0_66_66 = e1 % 22.26/5.78 | (370) ~ (all_0_71_71 = e2) % 22.26/5.78 | % 22.26/5.78 | Equations (563) can reduce 370 to: % 22.26/5.78 | (251) $false % 22.26/5.78 | % 22.26/5.78 |-The branch is then unsatisfiable % 22.26/5.78 % SZS output end Proof for theBenchmark % 22.26/5.78 % 22.26/5.78 5161ms %------------------------------------------------------------------------------