%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : ALG065+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 15:34:10 EDT 2022 % Result : Theorem 6.69s 2.08s % Output : Proof 14.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : ALG065+1 : TPTP v8.1.0. Released v2.7.0. % 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n022.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Wed Jun 8 02:09:35 EDT 2022 % 0.12/0.33 % CPUTime : % 0.50/0.60 ____ _ % 0.50/0.60 ___ / __ \_____(_)___ ________ __________ % 0.50/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.50/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.50/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.50/0.60 % 0.50/0.60 A Theorem Prover for First-Order Logic % 0.50/0.61 (ePrincess v.1.0) % 0.50/0.61 % 0.50/0.61 (c) Philipp Rümmer, 2009-2015 % 0.50/0.61 (c) Peter Backeman, 2014-2015 % 0.50/0.61 (contributions by Angelo Brillout, Peter Baumgartner) % 0.50/0.61 Free software under GNU Lesser General Public License (LGPL). % 0.50/0.61 Bug reports to peter@backeman.se % 0.50/0.61 % 0.50/0.61 For more information, visit http://user.uu.se/~petba168/breu/ % 0.50/0.61 % 0.50/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.66/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.67/1.16 Prover 0: Preprocessing ... % 4.36/1.53 Prover 0: Constructing countermodel ... % 6.69/2.08 Prover 0: proved (1417ms) % 6.69/2.08 % 6.69/2.08 No countermodel exists, formula is valid % 6.69/2.08 % SZS status Theorem for theBenchmark % 6.69/2.08 % 6.69/2.08 Generating proof ... found it (size 2377) % 13.12/3.60 % 13.12/3.60 % SZS output start Proof for theBenchmark % 13.12/3.60 Assumed formulas after preprocessing and simplification: % 13.12/3.60 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : ? [v48] : ? [v49] : ? [v50] : ? [v51] : ? [v52] : ? [v53] : ? [v54] : ? [v55] : ? [v56] : ? [v57] : ? [v58] : ( ~ (v20 = v19) & ~ (v20 = v18) & ~ (v20 = v17) & ~ (v20 = v16) & ~ (v20 = v7) & ~ (v20 = v4) & ~ (v20 = e3) & ~ (v20 = e2) & ~ (v20 = e1) & ~ (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v15) & ~ (v19 = v11) & ~ (v19 = v6) & ~ (v19 = v3) & ~ (v19 = e1) & ~ (v18 = v17) & ~ (v18 = v13) & ~ (v18 = v9) & ~ (v18 = v1) & ~ (v18 = e1) & ~ (v18 = e0) & ~ (v17 = v12) & ~ (v17 = v8) & ~ (v17 = v0) & ~ (v17 = e1) & ~ (v16 = v15) & ~ (v16 = v14) & ~ (v16 = v13) & ~ (v16 = v12) & ~ (v16 = v7) & ~ (v16 = v4) & ~ (v16 = e3) & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v6) & ~ (v15 = v3) & ~ (v15 = e4) & ~ (v14 = v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v5) & ~ (v14 = v2) & ~ (v14 = e1) & ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v1) & ~ (v13 = e0) & ~ (v12 = v8) & ~ (v12 = v0) & ~ (v12 = e1) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v8) & ~ (v11 = v6) & ~ (v11 = v3) & ~ (v11 = e3) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v5) & ~ (v10 = v2) & ~ (v10 = e4) & ~ (v10 = e3) & ~ (v10 = e1) & ~ (v9 = v8) & ~ (v9 = v1) & ~ (v9 = e3) & ~ (v9 = e0) & ~ (v8 = v0) & ~ (v8 = e3) & ~ (v8 = e1) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = e3) & ~ (v7 = e1) & ~ (v7 = e0) & ~ (v6 = v5) & ~ (v6 = v3) & ~ (v6 = e1) & ~ (v6 = e0) & ~ (v5 = v2) & ~ (v5 = e1) & ~ (v5 = e0) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) & ~ (v4 = e3) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e1) & ~ (v1 = v0) & ~ (v1 = e0) & ~ (v0 = e1) & ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0 & op(e4, v20) = v58 & op(e4, v19) = v50 & op(e4, v18) = v34 & op(e4, v17) = v26 & op(e4, v16) = v57 & op(e4, v7) = v55 & op(e4, v4) = v53 & op(e4, unit) = e4 & op(e4, e4) = v20 & op(e4, e3) = v19 & op(e4, e2) = e1 & op(e4, e1) = v18 & op(e4, e0) = v17 & op(e3, v19) = v51 & op(e3, v16) = v56 & op(e3, v15) = v49 & op(e3, v14) = v41 & op(e3, v13) = v32 & op(e3, v12) = v24 & op(e3, v11) = v48 & op(e3, v6) = v46 & op(e3, v3) = v44 & op(e3, unit) = e3 & op(e3, e4) = v16 & op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, v14) = v42 & op(e2, v11) = v47 & op(e2, v10) = v40 & op(e2, v9) = v30 & op(e2, v8) = v22 & op(e2, v5) = v39 & op(e2, v2) = v37 & op(e2, unit) = e2 & op(e2, e4) = e3 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, v18) = v35 & op(e1, v13) = v33 & op(e1, v9) = v31 & op(e1, v7) = v54 & op(e1, v6) = v45 & op(e1, v5) = v38 & op(e1, v1) = v29 & op(e1, unit) = e1 & op(e1, e4) = v7 & op(e1, e3) = v6 & op(e1, e2) = v5 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, v17) = v27 & op(e0, v12) = v25 & op(e0, v8) = v23 & op(e0, v4) = v52 & op(e0, v3) = v43 & op(e0, v2) = v36 & op(e0, v1) = v28 & op(e0, v0) = v21 & op(e0, unit) = e0 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & ! [v59] : ! [v60] : ! [v61] : ! [v62] : (v60 = v59 | ~ (op(v62, v61) = v60) | ~ (op(v62, v61) = v59)) & ( ~ (v20 = e0) | v17 = e4) & ( ~ (v15 = e2) | v14 = e3) & ( ~ (v15 = e1) | v13 = e3) & ( ~ (v15 = e0) | v12 = e3) & ( ~ (v10 = e0) | v8 = e2) & ( ~ (v0 = e4) | v4 = e0) & ( ~ (v0 = e3) | v3 = e0) & ( ~ (v0 = e2) | v2 = e0) & (v20 = e4 | v20 = e0) & (v20 = e4 | v19 = e4 | v18 = e4 | v17 = e4) & (v20 = e4 | v16 = e4 | v7 = e4 | v4 = e4) & (v20 = e0 | v19 = e0 | v17 = e0) & (v20 = e0 | v16 = e0 | v4 = e0) & (v19 = e4 | v19 = e3 | v19 = e2 | v19 = e0) & (v19 = e4 | v11 = e4 | v6 = e4 | v3 = e4) & (v19 = e3 | v18 = e3 | v17 = e3) & (v19 = e3 | v15 = e3 | v6 = e3 | v3 = e3) & (v19 = e2 | v18 = e2 | v17 = e2) & (v19 = e2 | v15 = e2 | v11 = e2 | v6 = e2 | v3 = e2) & (v19 = e0 | v15 = e0 | v11 = e0 | v3 = e0) & (v18 = e4 | v18 = e3 | v18 = e2) & (v18 = e4 | v13 = e4 | v9 = e4 | v1 = e4) & (v18 = e3 | v13 = e3 | v1 = e3) & (v18 = e2 | v13 = e2 | v9 = e2 | v1 = e2) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e0) & (v17 = e4 | v12 = e4 | v8 = e4 | v0 = e4) & (v17 = e3 | v12 = e3 | v0 = e3) & (v17 = e2 | v12 = e2 | v8 = e2 | v0 = e2) & (v17 = e0 | v12 = e0 | v8 = e0 | v0 = e0) & (v16 = e4 | v16 = e2 | v16 = e1 | v16 = e0) & (v16 = e4 | v14 = e4 | v13 = e4 | v12 = e4) & (v16 = e2 | v15 = e2 | v14 = e2 | v13 = e2 | v12 = e2) & (v16 = e2 | v7 = e2 | v4 = e2) & (v16 = e1 | v15 = e1 | v13 = e1) & (v16 = e1 | v4 = e1) & (v16 = e0 | v15 = e0 | v14 = e0 | v12 = e0) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v15 = e3 | v14 = e3 | v13 = e3 | v12 = e3) & (v15 = e1 | v11 = e1 | v3 = e1) & (v14 = e4 | v14 = e3 | v14 = e2 | v14 = e0) & (v14 = e4 | v5 = e4 | v2 = e4) & (v14 = e3 | v5 = e3 | v2 = e3) & (v14 = e2 | v10 = e2 | v5 = e2 | v2 = e2) & (v14 = e0 | v10 = e0 | v2 = e0) & (v13 = e4 | v13 = e3 | v13 = e2 | v13 = e1) & (v13 = e1 | v9 = e1 | v1 = e1) & (v12 = e4 | v12 = e3 | v12 = e2 | v12 = e0) & (v11 = e4 | v11 = e2 | v11 = e1 | v11 = e0) & (v11 = e4 | v9 = e4 | v8 = e4) & (v11 = e2 | v10 = e2 | v9 = e2 | v8 = e2) & (v11 = e1 | v9 = e1) & (v11 = e0 | v10 = e0 | v8 = e0) & (v10 = e2 | v10 = e0) & (v9 = e4 | v9 = e2 | v9 = e1) & (v8 = e4 | v8 = e2 | v8 = e0) & (v7 = e4 | v7 = e2) & (v7 = e4 | v6 = e4 | v5 = e4) & (v7 = e2 | v6 = e2 | v5 = e2) & (v6 = e4 | v6 = e3 | v6 = e2) & (v6 = e3 | v5 = e3) & (v5 = e4 | v5 = e3 | v5 = e2) & (v4 = e4 | v4 = e2 | v4 = e1 | v4 = e0) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 = e4 | v0 = e4) & (v4 = e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v1 = e1) & (v4 = e0 | v3 = e0 | v2 = e0 | v0 = e0) & (v3 = e4 | v3 = e3 | v3 = e2 | v3 = e1 | v3 = e0) & (v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e0) & (v1 = e4 | v1 = e3 | v1 = e2 | v1 = e1) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0) & ((v57 = e3 & ~ (v56 = e4)) | (v55 = e1 & ~ (v54 = e4)) | (v53 = e0 & ~ (v52 = e4)) | (v19 = e2 & ~ (v11 = e4))) & ((v51 = e4 & ~ (v50 = e3)) | (v48 = e2 & ~ (v47 = e3)) | (v46 = e1 & ~ (v45 = e3)) | (v44 = e0 & ~ (v43 = e3))) & ((v42 = e3 & ~ (v41 = e2)) | (v39 = e1 & ~ (v38 = e2)) | (v37 = e0 & ~ (v36 = e2)) | (v9 = e4 & ~ (v18 = e2))) & ((v35 = e4 & ~ (v34 = e1)) | (v33 = e3 & ~ (v32 = e1)) | (v31 = e2 & ~ (v30 = e1)) | (v29 = e0 & ~ (v28 = e1))) & ((v27 = e4 & ~ (v26 = e0)) | (v25 = e3 & ~ (v24 = e0)) | (v23 = e2 & ~ (v22 = e0)))) % 13.28/3.66 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20, all_0_21_21, all_0_22_22, all_0_23_23, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27, all_0_28_28, all_0_29_29, all_0_30_30, all_0_31_31, all_0_32_32, all_0_33_33, all_0_34_34, all_0_35_35, all_0_36_36, all_0_37_37, all_0_38_38, all_0_39_39, all_0_40_40, all_0_41_41, all_0_42_42, all_0_43_43, all_0_44_44, all_0_45_45, all_0_46_46, all_0_47_47, all_0_48_48, all_0_49_49, all_0_50_50, all_0_51_51, all_0_52_52, all_0_53_53, all_0_54_54, all_0_55_55, all_0_56_56, all_0_57_57, all_0_58_58 yields: % 13.28/3.66 | (1) ~ (all_0_38_38 = all_0_39_39) & ~ (all_0_38_38 = all_0_40_40) & ~ (all_0_38_38 = all_0_41_41) & ~ (all_0_38_38 = all_0_42_42) & ~ (all_0_38_38 = all_0_51_51) & ~ (all_0_38_38 = all_0_54_54) & ~ (all_0_38_38 = e3) & ~ (all_0_38_38 = e2) & ~ (all_0_38_38 = e1) & ~ (all_0_39_39 = all_0_40_40) & ~ (all_0_39_39 = all_0_41_41) & ~ (all_0_39_39 = all_0_43_43) & ~ (all_0_39_39 = all_0_47_47) & ~ (all_0_39_39 = all_0_52_52) & ~ (all_0_39_39 = all_0_55_55) & ~ (all_0_39_39 = e1) & ~ (all_0_40_40 = all_0_41_41) & ~ (all_0_40_40 = all_0_45_45) & ~ (all_0_40_40 = all_0_49_49) & ~ (all_0_40_40 = all_0_57_57) & ~ (all_0_40_40 = e1) & ~ (all_0_40_40 = e0) & ~ (all_0_41_41 = all_0_46_46) & ~ (all_0_41_41 = all_0_50_50) & ~ (all_0_41_41 = all_0_58_58) & ~ (all_0_41_41 = e1) & ~ (all_0_42_42 = all_0_43_43) & ~ (all_0_42_42 = all_0_44_44) & ~ (all_0_42_42 = all_0_45_45) & ~ (all_0_42_42 = all_0_46_46) & ~ (all_0_42_42 = all_0_51_51) & ~ (all_0_42_42 = all_0_54_54) & ~ (all_0_42_42 = e3) & ~ (all_0_43_43 = all_0_44_44) & ~ (all_0_43_43 = all_0_45_45) & ~ (all_0_43_43 = all_0_46_46) & ~ (all_0_43_43 = all_0_47_47) & ~ (all_0_43_43 = all_0_52_52) & ~ (all_0_43_43 = all_0_55_55) & ~ (all_0_43_43 = e4) & ~ (all_0_44_44 = all_0_45_45) & ~ (all_0_44_44 = all_0_46_46) & ~ (all_0_44_44 = all_0_48_48) & ~ (all_0_44_44 = all_0_53_53) & ~ (all_0_44_44 = all_0_56_56) & ~ (all_0_44_44 = e1) & ~ (all_0_45_45 = all_0_46_46) & ~ (all_0_45_45 = all_0_49_49) & ~ (all_0_45_45 = all_0_57_57) & ~ (all_0_45_45 = e0) & ~ (all_0_46_46 = all_0_50_50) & ~ (all_0_46_46 = all_0_58_58) & ~ (all_0_46_46 = e1) & ~ (all_0_47_47 = all_0_48_48) & ~ (all_0_47_47 = all_0_49_49) & ~ (all_0_47_47 = all_0_50_50) & ~ (all_0_47_47 = all_0_52_52) & ~ (all_0_47_47 = all_0_55_55) & ~ (all_0_47_47 = e3) & ~ (all_0_48_48 = all_0_49_49) & ~ (all_0_48_48 = all_0_50_50) & ~ (all_0_48_48 = all_0_53_53) & ~ (all_0_48_48 = all_0_56_56) & ~ (all_0_48_48 = e4) & ~ (all_0_48_48 = e3) & ~ (all_0_48_48 = e1) & ~ (all_0_49_49 = all_0_50_50) & ~ (all_0_49_49 = all_0_57_57) & ~ (all_0_49_49 = e3) & ~ (all_0_49_49 = e0) & ~ (all_0_50_50 = all_0_58_58) & ~ (all_0_50_50 = e3) & ~ (all_0_50_50 = e1) & ~ (all_0_51_51 = all_0_52_52) & ~ (all_0_51_51 = all_0_53_53) & ~ (all_0_51_51 = all_0_54_54) & ~ (all_0_51_51 = e3) & ~ (all_0_51_51 = e1) & ~ (all_0_51_51 = e0) & ~ (all_0_52_52 = all_0_53_53) & ~ (all_0_52_52 = all_0_55_55) & ~ (all_0_52_52 = e1) & ~ (all_0_52_52 = e0) & ~ (all_0_53_53 = all_0_56_56) & ~ (all_0_53_53 = e1) & ~ (all_0_53_53 = e0) & ~ (all_0_54_54 = all_0_55_55) & ~ (all_0_54_54 = all_0_56_56) & ~ (all_0_54_54 = all_0_57_57) & ~ (all_0_54_54 = all_0_58_58) & ~ (all_0_54_54 = e3) & ~ (all_0_55_55 = all_0_56_56) & ~ (all_0_55_55 = all_0_57_57) & ~ (all_0_55_55 = all_0_58_58) & ~ (all_0_56_56 = all_0_57_57) & ~ (all_0_56_56 = all_0_58_58) & ~ (all_0_56_56 = e1) & ~ (all_0_57_57 = all_0_58_58) & ~ (all_0_57_57 = e0) & ~ (all_0_58_58 = e1) & ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0 & op(e4, all_0_38_38) = all_0_0_0 & op(e4, all_0_39_39) = all_0_8_8 & op(e4, all_0_40_40) = all_0_24_24 & op(e4, all_0_41_41) = all_0_32_32 & op(e4, all_0_42_42) = all_0_1_1 & op(e4, all_0_51_51) = all_0_3_3 & op(e4, all_0_54_54) = all_0_5_5 & op(e4, unit) = e4 & op(e4, e4) = all_0_38_38 & op(e4, e3) = all_0_39_39 & op(e4, e2) = e1 & op(e4, e1) = all_0_40_40 & op(e4, e0) = all_0_41_41 & op(e3, all_0_39_39) = all_0_7_7 & op(e3, all_0_42_42) = all_0_2_2 & op(e3, all_0_43_43) = all_0_9_9 & op(e3, all_0_44_44) = all_0_17_17 & op(e3, all_0_45_45) = all_0_26_26 & op(e3, all_0_46_46) = all_0_34_34 & op(e3, all_0_47_47) = all_0_10_10 & op(e3, all_0_52_52) = all_0_12_12 & op(e3, all_0_55_55) = all_0_14_14 & op(e3, unit) = e3 & op(e3, e4) = all_0_42_42 & op(e3, e3) = all_0_43_43 & op(e3, e2) = all_0_44_44 & op(e3, e1) = all_0_45_45 & op(e3, e0) = all_0_46_46 & op(e2, all_0_44_44) = all_0_16_16 & op(e2, all_0_47_47) = all_0_11_11 & op(e2, all_0_48_48) = all_0_18_18 & op(e2, all_0_49_49) = all_0_28_28 & op(e2, all_0_50_50) = all_0_36_36 & op(e2, all_0_53_53) = all_0_19_19 & op(e2, all_0_56_56) = all_0_21_21 & op(e2, unit) = e2 & op(e2, e4) = e3 & op(e2, e3) = all_0_47_47 & op(e2, e2) = all_0_48_48 & op(e2, e1) = all_0_49_49 & op(e2, e0) = all_0_50_50 & op(e1, all_0_40_40) = all_0_23_23 & op(e1, all_0_45_45) = all_0_25_25 & op(e1, all_0_49_49) = all_0_27_27 & op(e1, all_0_51_51) = all_0_4_4 & op(e1, all_0_52_52) = all_0_13_13 & op(e1, all_0_53_53) = all_0_20_20 & op(e1, all_0_57_57) = all_0_29_29 & op(e1, unit) = e1 & op(e1, e4) = all_0_51_51 & op(e1, e3) = all_0_52_52 & op(e1, e2) = all_0_53_53 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, all_0_41_41) = all_0_31_31 & op(e0, all_0_46_46) = all_0_33_33 & op(e0, all_0_50_50) = all_0_35_35 & op(e0, all_0_54_54) = all_0_6_6 & op(e0, all_0_55_55) = all_0_15_15 & op(e0, all_0_56_56) = all_0_22_22 & op(e0, all_0_57_57) = all_0_30_30 & op(e0, all_0_58_58) = all_0_37_37 & op(e0, unit) = e0 & op(e0, e4) = all_0_54_54 & op(e0, e3) = all_0_55_55 & op(e0, e2) = all_0_56_56 & op(e0, e1) = all_0_57_57 & op(e0, e0) = all_0_58_58 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) & ( ~ (all_0_38_38 = e0) | all_0_41_41 = e4) & ( ~ (all_0_43_43 = e2) | all_0_44_44 = e3) & ( ~ (all_0_43_43 = e1) | all_0_45_45 = e3) & ( ~ (all_0_43_43 = e0) | all_0_46_46 = e3) & ( ~ (all_0_48_48 = e0) | all_0_50_50 = e2) & ( ~ (all_0_58_58 = e4) | all_0_54_54 = e0) & ( ~ (all_0_58_58 = e3) | all_0_55_55 = e0) & ( ~ (all_0_58_58 = e2) | all_0_56_56 = e0) & (all_0_38_38 = e4 | all_0_38_38 = e0) & (all_0_38_38 = e4 | all_0_39_39 = e4 | all_0_40_40 = e4 | all_0_41_41 = e4) & (all_0_38_38 = e4 | all_0_42_42 = e4 | all_0_51_51 = e4 | all_0_54_54 = e4) & (all_0_38_38 = e0 | all_0_39_39 = e0 | all_0_41_41 = e0) & (all_0_38_38 = e0 | all_0_42_42 = e0 | all_0_54_54 = e0) & (all_0_39_39 = e4 | all_0_39_39 = e3 | all_0_39_39 = e2 | all_0_39_39 = e0) & (all_0_39_39 = e4 | all_0_47_47 = e4 | all_0_52_52 = e4 | all_0_55_55 = e4) & (all_0_39_39 = e3 | all_0_40_40 = e3 | all_0_41_41 = e3) & (all_0_39_39 = e3 | all_0_43_43 = e3 | all_0_52_52 = e3 | all_0_55_55 = e3) & (all_0_39_39 = e2 | all_0_40_40 = e2 | all_0_41_41 = e2) & (all_0_39_39 = e2 | all_0_43_43 = e2 | all_0_47_47 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2) & (all_0_39_39 = e0 | all_0_43_43 = e0 | all_0_47_47 = e0 | all_0_55_55 = e0) & (all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e2) & (all_0_40_40 = e4 | all_0_45_45 = e4 | all_0_49_49 = e4 | all_0_57_57 = e4) & (all_0_40_40 = e3 | all_0_45_45 = e3 | all_0_57_57 = e3) & (all_0_40_40 = e2 | all_0_45_45 = e2 | all_0_49_49 = e2 | all_0_57_57 = e2) & (all_0_41_41 = e4 | all_0_41_41 = e3 | all_0_41_41 = e2 | all_0_41_41 = e0) & (all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_58_58 = e4) & (all_0_41_41 = e3 | all_0_46_46 = e3 | all_0_58_58 = e3) & (all_0_41_41 = e2 | all_0_46_46 = e2 | all_0_50_50 = e2 | all_0_58_58 = e2) & (all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_50_50 = e0 | all_0_58_58 = e0) & (all_0_42_42 = e4 | all_0_42_42 = e2 | all_0_42_42 = e1 | all_0_42_42 = e0) & (all_0_42_42 = e4 | all_0_44_44 = e4 | all_0_45_45 = e4 | all_0_46_46 = e4) & (all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2) & (all_0_42_42 = e2 | all_0_51_51 = e2 | all_0_54_54 = e2) & (all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_45_45 = e1) & (all_0_42_42 = e1 | all_0_54_54 = e1) & (all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 | all_0_46_46 = e0) & (all_0_43_43 = e3 | all_0_43_43 = e2 | all_0_43_43 = e1 | all_0_43_43 = e0) & (all_0_43_43 = e3 | all_0_44_44 = e3 | all_0_45_45 = e3 | all_0_46_46 = e3) & (all_0_43_43 = e1 | all_0_47_47 = e1 | all_0_55_55 = e1) & (all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e2 | all_0_44_44 = e0) & (all_0_44_44 = e4 | all_0_53_53 = e4 | all_0_56_56 = e4) & (all_0_44_44 = e3 | all_0_53_53 = e3 | all_0_56_56 = e3) & (all_0_44_44 = e2 | all_0_48_48 = e2 | all_0_53_53 = e2 | all_0_56_56 = e2) & (all_0_44_44 = e0 | all_0_48_48 = e0 | all_0_56_56 = e0) & (all_0_45_45 = e4 | all_0_45_45 = e3 | all_0_45_45 = e2 | all_0_45_45 = e1) & (all_0_45_45 = e1 | all_0_49_49 = e1 | all_0_57_57 = e1) & (all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e2 | all_0_46_46 = e0) & (all_0_47_47 = e4 | all_0_47_47 = e2 | all_0_47_47 = e1 | all_0_47_47 = e0) & (all_0_47_47 = e4 | all_0_49_49 = e4 | all_0_50_50 = e4) & (all_0_47_47 = e2 | all_0_48_48 = e2 | all_0_49_49 = e2 | all_0_50_50 = e2) & (all_0_47_47 = e1 | all_0_49_49 = e1) & (all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_50_50 = e0) & (all_0_48_48 = e2 | all_0_48_48 = e0) & (all_0_49_49 = e4 | all_0_49_49 = e2 | all_0_49_49 = e1) & (all_0_50_50 = e4 | all_0_50_50 = e2 | all_0_50_50 = e0) & (all_0_51_51 = e4 | all_0_51_51 = e2) & (all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4) & (all_0_51_51 = e2 | all_0_52_52 = e2 | all_0_53_53 = e2) & (all_0_52_52 = e4 | all_0_52_52 = e3 | all_0_52_52 = e2) & (all_0_52_52 = e3 | all_0_53_53 = e3) & (all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e2) & (all_0_54_54 = e4 | all_0_54_54 = e2 | all_0_54_54 = e1 | all_0_54_54 = e0) & (all_0_54_54 = e4 | all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4) & (all_0_54_54 = e2 | all_0_55_55 = e2 | all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2) & (all_0_54_54 = e1 | all_0_55_55 = e1 | all_0_57_57 = e1) & (all_0_54_54 = e0 | all_0_55_55 = e0 | all_0_56_56 = e0 | all_0_58_58 = e0) & (all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e2 | all_0_55_55 = e1 | all_0_55_55 = e0) & (all_0_55_55 = e3 | all_0_56_56 = e3 | all_0_57_57 = e3 | all_0_58_58 = e3) & (all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e2 | all_0_56_56 = e0) & (all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e2 | all_0_57_57 = e1) & (all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e2 | all_0_58_58 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0) & ((all_0_1_1 = e3 & ~ (all_0_2_2 = e4)) | (all_0_3_3 = e1 & ~ (all_0_4_4 = e4)) | (all_0_5_5 = e0 & ~ (all_0_6_6 = e4)) | (all_0_39_39 = e2 & ~ (all_0_47_47 = e4))) & ((all_0_7_7 = e4 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e2 & ~ (all_0_11_11 = e3)) | (all_0_12_12 = e1 & ~ (all_0_13_13 = e3)) | (all_0_14_14 = e0 & ~ (all_0_15_15 = e3))) & ((all_0_16_16 = e3 & ~ (all_0_17_17 = e2)) | (all_0_19_19 = e1 & ~ (all_0_20_20 = e2)) | (all_0_21_21 = e0 & ~ (all_0_22_22 = e2)) | (all_0_49_49 = e4 & ~ (all_0_40_40 = e2))) & ((all_0_23_23 = e4 & ~ (all_0_24_24 = e1)) | (all_0_25_25 = e3 & ~ (all_0_26_26 = e1)) | (all_0_27_27 = e2 & ~ (all_0_28_28 = e1)) | (all_0_29_29 = e0 & ~ (all_0_30_30 = e1))) & ((all_0_31_31 = e4 & ~ (all_0_32_32 = e0)) | (all_0_33_33 = e3 & ~ (all_0_34_34 = e0)) | (all_0_35_35 = e2 & ~ (all_0_36_36 = e0))) % 13.28/3.67 | % 13.28/3.67 | Applying alpha-rule on (1) yields: % 13.28/3.67 | (2) op(e4, all_0_40_40) = all_0_24_24 % 13.28/3.67 | (3) op(e4, all_0_38_38) = all_0_0_0 % 13.28/3.67 | (4) ~ (all_0_38_38 = e1) % 13.28/3.67 | (5) op(e4, e2) = e1 % 13.28/3.67 | (6) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e2 | all_0_46_46 = e0 % 13.28/3.67 | (7) all_0_52_52 = e3 | all_0_53_53 = e3 % 13.28/3.67 | (8) all_0_44_44 = e3 | all_0_53_53 = e3 | all_0_56_56 = e3 % 13.28/3.67 | (9) all_0_54_54 = e4 | all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 13.28/3.67 | (10) ~ (all_0_49_49 = all_0_57_57) % 13.28/3.67 | (11) all_0_39_39 = e4 | all_0_39_39 = e3 | all_0_39_39 = e2 | all_0_39_39 = e0 % 13.28/3.67 | (12) ~ (e4 = e0) % 13.28/3.67 | (13) ~ (all_0_50_50 = all_0_58_58) % 13.28/3.67 | (14) ~ (all_0_48_48 = all_0_50_50) % 13.28/3.67 | (15) ~ (all_0_40_40 = all_0_45_45) % 13.28/3.67 | (16) ~ (all_0_39_39 = all_0_40_40) % 13.28/3.67 | (17) ~ (all_0_53_53 = e0) % 13.28/3.67 | (18) all_0_39_39 = e2 | all_0_43_43 = e2 | all_0_47_47 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2 % 13.28/3.67 | (19) ~ (all_0_51_51 = e3) % 13.28/3.67 | (20) ~ (all_0_38_38 = all_0_41_41) % 13.28/3.68 | (21) ~ (all_0_38_38 = e3) % 13.28/3.68 | (22) op(e0, all_0_54_54) = all_0_6_6 % 13.28/3.68 | (23) all_0_39_39 = e0 | all_0_43_43 = e0 | all_0_47_47 = e0 | all_0_55_55 = e0 % 13.28/3.68 | (24) ~ (all_0_58_58 = e4) | all_0_54_54 = e0 % 13.28/3.68 | (25) ~ (all_0_50_50 = e3) % 13.28/3.68 | (26) op(e1, unit) = e1 % 13.28/3.68 | (27) ~ (all_0_38_38 = all_0_42_42) % 13.28/3.68 | (28) all_0_39_39 = e3 | all_0_40_40 = e3 | all_0_41_41 = e3 % 13.28/3.68 | (29) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 13.28/3.68 | (30) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 | all_0_46_46 = e0 % 13.28/3.68 | (31) op(e2, all_0_48_48) = all_0_18_18 % 13.28/3.68 | (32) op(unit, e3) = e3 % 13.28/3.68 | (33) all_0_49_49 = e4 | all_0_49_49 = e2 | all_0_49_49 = e1 % 13.28/3.68 | (34) ~ (all_0_47_47 = all_0_48_48) % 13.28/3.68 | (35) op(e2, e1) = all_0_49_49 % 13.28/3.68 | (36) (all_0_1_1 = e3 & ~ (all_0_2_2 = e4)) | (all_0_3_3 = e1 & ~ (all_0_4_4 = e4)) | (all_0_5_5 = e0 & ~ (all_0_6_6 = e4)) | (all_0_39_39 = e2 & ~ (all_0_47_47 = e4)) % 13.28/3.68 | (37) op(e0, all_0_55_55) = all_0_15_15 % 13.28/3.68 | (38) op(e1, all_0_52_52) = all_0_13_13 % 13.28/3.68 | (39) ~ (e4 = e3) % 13.28/3.68 | (40) ~ (all_0_43_43 = e4) % 13.28/3.68 | (41) op(e2, e3) = all_0_47_47 % 13.28/3.68 | (42) op(e1, all_0_40_40) = all_0_23_23 % 13.28/3.68 | (43) all_0_41_41 = e4 | all_0_41_41 = e3 | all_0_41_41 = e2 | all_0_41_41 = e0 % 13.28/3.68 | (44) all_0_55_55 = e3 | all_0_56_56 = e3 | all_0_57_57 = e3 | all_0_58_58 = e3 % 13.28/3.68 | (45) op(e3, e2) = all_0_44_44 % 13.28/3.68 | (46) all_0_54_54 = e1 | all_0_55_55 = e1 | all_0_57_57 = e1 % 13.28/3.68 | (47) all_0_44_44 = e2 | all_0_48_48 = e2 | all_0_53_53 = e2 | all_0_56_56 = e2 % 13.28/3.68 | (48) op(e4, e0) = all_0_41_41 % 13.28/3.68 | (49) all_0_51_51 = e2 | all_0_52_52 = e2 | all_0_53_53 = e2 % 13.28/3.68 | (50) ~ (all_0_55_55 = all_0_57_57) % 13.28/3.68 | (51) op(e4, all_0_51_51) = all_0_3_3 % 13.28/3.68 | (52) ~ (all_0_52_52 = all_0_53_53) % 13.28/3.68 | (53) op(e1, all_0_45_45) = all_0_25_25 % 13.28/3.68 | (54) ~ (all_0_58_58 = e3) | all_0_55_55 = e0 % 13.28/3.68 | (55) ~ (all_0_41_41 = all_0_46_46) % 13.28/3.68 | (56) (all_0_7_7 = e4 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e2 & ~ (all_0_11_11 = e3)) | (all_0_12_12 = e1 & ~ (all_0_13_13 = e3)) | (all_0_14_14 = e0 & ~ (all_0_15_15 = e3)) % 13.28/3.68 | (57) all_0_40_40 = e4 | all_0_45_45 = e4 | all_0_49_49 = e4 | all_0_57_57 = e4 % 13.28/3.68 | (58) ~ (all_0_44_44 = all_0_45_45) % 13.28/3.68 | (59) op(e1, e3) = all_0_52_52 % 13.28/3.68 | (60) op(e0, all_0_50_50) = all_0_35_35 % 13.28/3.68 | (61) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e2 | all_0_44_44 = e0 % 13.28/3.68 | (62) all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2 % 13.28/3.68 | (63) ~ (e2 = e0) % 13.28/3.68 | (64) ~ (all_0_43_43 = all_0_55_55) % 13.28/3.68 | (65) all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_50_50 = e0 | all_0_58_58 = e0 % 13.28/3.68 | (66) all_0_43_43 = e3 | all_0_44_44 = e3 | all_0_45_45 = e3 | all_0_46_46 = e3 % 13.28/3.68 | (67) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0 % 13.28/3.68 | (68) ~ (all_0_52_52 = e1) % 13.28/3.68 | (69) op(e0, e2) = all_0_56_56 % 13.28/3.68 | (70) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e2 % 13.28/3.68 | (71) all_0_50_50 = e4 | all_0_50_50 = e2 | all_0_50_50 = e0 % 13.28/3.68 | (72) op(e0, all_0_58_58) = all_0_37_37 % 13.28/3.68 | (73) op(e0, all_0_41_41) = all_0_31_31 % 13.28/3.68 | (74) op(e0, e4) = all_0_54_54 % 13.28/3.68 | (75) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e2 | all_0_58_58 = e0 % 13.28/3.68 | (76) op(e2, e2) = all_0_48_48 % 13.28/3.68 | (77) ~ (all_0_48_48 = all_0_56_56) % 13.28/3.68 | (78) ~ (e3 = e0) % 13.28/3.68 | (79) op(e2, e0) = all_0_50_50 % 13.28/3.68 | (80) ~ (all_0_51_51 = all_0_53_53) % 13.28/3.68 | (81) ~ (all_0_43_43 = e2) | all_0_44_44 = e3 % 13.28/3.68 | (82) ~ (all_0_38_38 = e0) | all_0_41_41 = e4 % 13.28/3.68 | (83) op(e3, e3) = all_0_43_43 % 13.28/3.68 | (84) op(e4, all_0_54_54) = all_0_5_5 % 13.28/3.68 | (85) ~ (all_0_56_56 = e1) % 13.28/3.68 | (86) ~ (all_0_49_49 = e0) % 13.28/3.68 | (87) ~ (all_0_46_46 = all_0_50_50) % 13.28/3.68 | (88) op(e0, unit) = e0 % 13.28/3.68 | (89) op(unit, e1) = e1 % 13.28/3.68 | (90) ~ (all_0_49_49 = all_0_50_50) % 13.28/3.68 | (91) op(e3, all_0_39_39) = all_0_7_7 % 13.28/3.68 | (92) ~ (all_0_42_42 = all_0_45_45) % 13.28/3.68 | (93) op(e3, all_0_55_55) = all_0_14_14 % 13.28/3.68 | (94) ~ (all_0_40_40 = e0) % 13.28/3.68 | (95) all_0_43_43 = e3 | all_0_43_43 = e2 | all_0_43_43 = e1 | all_0_43_43 = e0 % 13.28/3.68 | (96) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e2 % 13.28/3.69 | (97) op(e2, all_0_50_50) = all_0_36_36 % 13.28/3.69 | (98) ~ (all_0_39_39 = all_0_52_52) % 13.28/3.69 | (99) all_0_41_41 = e2 | all_0_46_46 = e2 | all_0_50_50 = e2 | all_0_58_58 = e2 % 13.28/3.69 | (100) ~ (all_0_45_45 = all_0_49_49) % 13.28/3.69 | (101) ~ (all_0_47_47 = all_0_52_52) % 13.28/3.69 | (102) op(e3, e0) = all_0_46_46 % 13.28/3.69 | (103) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_50_50 = e0 % 13.28/3.69 | (104) op(e3, all_0_43_43) = all_0_9_9 % 13.28/3.69 | (105) ~ (all_0_57_57 = e0) % 13.28/3.69 | (106) ~ (all_0_53_53 = e1) % 13.28/3.69 | (107) ~ (all_0_55_55 = all_0_56_56) % 13.28/3.69 | (108) ~ (all_0_51_51 = all_0_52_52) % 13.28/3.69 | (109) all_0_45_45 = e1 | all_0_49_49 = e1 | all_0_57_57 = e1 % 13.28/3.69 | (110) op(e1, e4) = all_0_51_51 % 13.28/3.69 | (111) ~ (all_0_48_48 = e0) | all_0_50_50 = e2 % 13.28/3.69 | (112) ~ (all_0_44_44 = all_0_53_53) % 13.28/3.69 | (113) op(e3, e1) = all_0_45_45 % 13.28/3.69 | (114) ~ (all_0_39_39 = all_0_47_47) % 13.28/3.69 | (115) all_0_40_40 = e2 | all_0_45_45 = e2 | all_0_49_49 = e2 | all_0_57_57 = e2 % 13.28/3.69 | (116) all_0_39_39 = e4 | all_0_47_47 = e4 | all_0_52_52 = e4 | all_0_55_55 = e4 % 13.28/3.69 | (117) ~ (all_0_54_54 = e3) % 13.28/3.69 | (118) ~ (all_0_40_40 = all_0_49_49) % 13.28/3.69 | (119) op(e0, e1) = all_0_57_57 % 13.28/3.69 | (120) all_0_54_54 = e0 | all_0_55_55 = e0 | all_0_56_56 = e0 | all_0_58_58 = e0 % 13.28/3.69 | (121) ~ (all_0_44_44 = all_0_46_46) % 13.28/3.69 | (122) all_0_48_48 = e2 | all_0_48_48 = e0 % 13.28/3.69 | (123) op(e3, all_0_44_44) = all_0_17_17 % 13.28/3.69 | (124) ~ (all_0_50_50 = e1) % 13.28/3.69 | (125) all_0_47_47 = e2 | all_0_48_48 = e2 | all_0_49_49 = e2 | all_0_50_50 = e2 % 13.28/3.69 | (126) ~ (all_0_55_55 = all_0_58_58) % 13.28/3.69 | (127) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e2 | all_0_55_55 = e1 | all_0_55_55 = e0 % 13.28/3.69 | (128) op(e4, all_0_39_39) = all_0_8_8 % 13.28/3.69 | (129) all_0_45_45 = e4 | all_0_45_45 = e3 | all_0_45_45 = e2 | all_0_45_45 = e1 % 13.28/3.69 | (130) ~ (all_0_48_48 = all_0_53_53) % 13.28/3.69 | (131) op(e2, all_0_49_49) = all_0_28_28 % 13.28/3.69 | (132) all_0_47_47 = e4 | all_0_47_47 = e2 | all_0_47_47 = e1 | all_0_47_47 = e0 % 13.28/3.69 | (133) all_0_41_41 = e3 | all_0_46_46 = e3 | all_0_58_58 = e3 % 13.28/3.69 | (134) ~ (all_0_47_47 = all_0_50_50) % 13.28/3.69 | (135) op(e0, e0) = all_0_58_58 % 13.28/3.69 | (136) all_0_38_38 = e4 | all_0_42_42 = e4 | all_0_51_51 = e4 | all_0_54_54 = e4 % 13.28/3.69 | (137) ~ (all_0_42_42 = all_0_54_54) % 13.28/3.69 | (138) ~ (all_0_39_39 = all_0_41_41) % 13.28/3.69 | (139) ~ (all_0_46_46 = all_0_58_58) % 13.28/3.69 | (140) all_0_47_47 = e1 | all_0_49_49 = e1 % 13.28/3.69 | (141) op(e0, all_0_46_46) = all_0_33_33 % 13.28/3.69 | (142) op(e3, all_0_42_42) = all_0_2_2 % 13.28/3.69 | (143) ~ (all_0_41_41 = all_0_58_58) % 13.28/3.69 | (144) all_0_42_42 = e4 | all_0_42_42 = e2 | all_0_42_42 = e1 | all_0_42_42 = e0 % 13.28/3.69 | (145) op(e4, unit) = e4 % 13.28/3.69 | (146) op(e3, all_0_45_45) = all_0_26_26 % 13.28/3.69 | (147) ~ (all_0_42_42 = all_0_46_46) % 13.28/3.69 | (148) op(e3, all_0_46_46) = all_0_34_34 % 13.28/3.69 | (149) ~ (all_0_45_45 = e0) % 13.28/3.69 | (150) ~ (e1 = e0) % 13.28/3.69 | (151) ~ (all_0_38_38 = all_0_40_40) % 13.28/3.69 | (152) ~ (all_0_38_38 = all_0_51_51) % 13.28/3.69 | (153) ~ (all_0_39_39 = all_0_43_43) % 13.28/3.69 | (154) ~ (e3 = e1) % 13.28/3.69 | (155) all_0_44_44 = e4 | all_0_53_53 = e4 | all_0_56_56 = e4 % 13.28/3.69 | (156) ~ (all_0_42_42 = all_0_43_43) % 13.28/3.69 | (157) ~ (e2 = e1) % 13.28/3.69 | (158) ~ (all_0_43_43 = e1) | all_0_45_45 = e3 % 13.28/3.69 | (159) op(e4, all_0_42_42) = all_0_1_1 % 13.28/3.69 | (160) op(e2, e4) = e3 % 13.28/3.70 | (161) op(e0, all_0_56_56) = all_0_22_22 % 13.28/3.70 | (162) ~ (all_0_39_39 = e1) % 13.28/3.70 | (163) all_0_42_42 = e4 | all_0_44_44 = e4 | all_0_45_45 = e4 | all_0_46_46 = e4 % 13.28/3.70 | (164) op(e1, e1) = e0 % 13.28/3.70 | (165) op(e0, e3) = all_0_55_55 % 13.28/3.70 | (166) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e2 | all_0_57_57 = e1 % 13.28/3.70 | (167) ~ (all_0_44_44 = all_0_48_48) % 13.28/3.70 | (168) ~ (all_0_54_54 = all_0_58_58) % 13.28/3.70 | (169) op(e1, e0) = e1 % 13.28/3.70 | (170) op(unit, e0) = e0 % 13.28/3.70 | (171) op(e2, all_0_44_44) = all_0_16_16 % 13.28/3.70 | (172) (all_0_31_31 = e4 & ~ (all_0_32_32 = e0)) | (all_0_33_33 = e3 & ~ (all_0_34_34 = e0)) | (all_0_35_35 = e2 & ~ (all_0_36_36 = e0)) % 13.28/3.70 | (173) ~ (all_0_43_43 = all_0_44_44) % 13.28/3.70 | (174) ~ (all_0_41_41 = all_0_50_50) % 13.28/3.70 | (175) op(e3, all_0_47_47) = all_0_10_10 % 13.28/3.70 | (176) all_0_54_54 = e4 | all_0_54_54 = e2 | all_0_54_54 = e1 | all_0_54_54 = e0 % 13.28/3.70 | (177) op(e2, all_0_47_47) = all_0_11_11 % 13.28/3.70 | (178) all_0_38_38 = e0 | all_0_39_39 = e0 | all_0_41_41 = e0 % 13.28/3.70 | (179) op(unit, e4) = e4 % 13.28/3.70 | (180) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 13.28/3.70 | (181) all_0_52_52 = e4 | all_0_52_52 = e3 | all_0_52_52 = e2 % 13.28/3.70 | (182) op(e1, all_0_49_49) = all_0_27_27 % 13.28/3.70 | (183) ~ (all_0_40_40 = all_0_57_57) % 13.28/3.70 | (184) op(e4, e3) = all_0_39_39 % 13.28/3.70 | (185) op(e2, all_0_56_56) = all_0_21_21 % 13.28/3.70 | (186) ~ (all_0_52_52 = e0) % 13.28/3.70 | (187) ~ (all_0_54_54 = all_0_57_57) % 13.28/3.70 | (188) ~ (all_0_51_51 = e0) % 13.28/3.70 | (189) ~ (all_0_44_44 = all_0_56_56) % 13.28/3.70 | (190) ~ (all_0_43_43 = e0) | all_0_46_46 = e3 % 13.28/3.70 | (191) ~ (all_0_47_47 = all_0_49_49) % 13.28/3.70 | (192) ~ (all_0_46_46 = e1) % 13.28/3.70 | (193) op(e2, unit) = e2 % 13.28/3.70 | (194) ~ (all_0_42_42 = all_0_51_51) % 13.28/3.70 | (195) ~ (all_0_51_51 = e1) % 13.28/3.70 | (196) all_0_39_39 = e3 | all_0_43_43 = e3 | all_0_52_52 = e3 | all_0_55_55 = e3 % 13.28/3.70 | (197) all_0_38_38 = e4 | all_0_38_38 = e0 % 13.28/3.70 | (198) ~ (all_0_43_43 = all_0_47_47) % 13.28/3.70 | (199) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e2 | all_0_56_56 = e0 % 13.28/3.70 | (200) ~ (all_0_54_54 = all_0_56_56) % 13.28/3.70 | (201) op(e1, all_0_57_57) = all_0_29_29 % 13.28/3.70 | (202) ~ (all_0_38_38 = all_0_39_39) % 13.28/3.70 | (203) ~ (all_0_42_42 = e3) % 13.28/3.70 | (204) ~ (all_0_43_43 = all_0_45_45) % 13.28/3.70 | (205) all_0_42_42 = e1 | all_0_54_54 = e1 % 13.28/3.70 | (206) ~ (all_0_44_44 = e1) % 13.28/3.70 | (207) ~ (all_0_39_39 = all_0_55_55) % 13.28/3.70 | (208) ~ (all_0_47_47 = e3) % 13.28/3.70 | (209) op(e2, all_0_53_53) = all_0_19_19 % 13.28/3.70 | (210) ~ (all_0_48_48 = e4) % 13.28/3.70 | (211) ~ (all_0_51_51 = all_0_54_54) % 13.28/3.70 | (212) op(e3, e4) = all_0_42_42 % 13.28/3.70 | (213) op(e3, unit) = e3 % 13.69/3.71 | (214) op(e3, all_0_52_52) = all_0_12_12 % 13.69/3.71 | (215) ~ (all_0_38_38 = all_0_54_54) % 13.69/3.71 | (216) all_0_39_39 = e2 | all_0_40_40 = e2 | all_0_41_41 = e2 % 13.69/3.71 | (217) ~ (all_0_48_48 = all_0_49_49) % 13.69/3.71 | (218) ~ (all_0_49_49 = e3) % 13.69/3.71 | (219) all_0_47_47 = e4 | all_0_49_49 = e4 | all_0_50_50 = e4 % 13.69/3.71 | (220) ~ (all_0_45_45 = all_0_57_57) % 13.69/3.71 | (221) ~ (all_0_56_56 = all_0_57_57) % 13.69/3.71 | (222) ~ (all_0_38_38 = e2) % 13.69/3.71 | (223) all_0_38_38 = e0 | all_0_42_42 = e0 | all_0_54_54 = e0 % 13.69/3.71 | (224) ~ (all_0_41_41 = e1) % 13.69/3.71 | (225) op(e1, all_0_53_53) = all_0_20_20 % 13.69/3.71 | (226) op(e4, e4) = all_0_38_38 % 13.69/3.71 | (227) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_45_45 = e1 % 13.69/3.71 | (228) ~ (e3 = e2) % 13.69/3.71 | (229) ~ (all_0_40_40 = e1) % 13.69/3.71 | (230) all_0_40_40 = e3 | all_0_45_45 = e3 | all_0_57_57 = e3 % 13.69/3.71 | (231) ~ (all_0_42_42 = all_0_44_44) % 13.69/3.71 | (232) ~ (all_0_52_52 = all_0_55_55) % 13.69/3.71 | (233) ~ (all_0_54_54 = all_0_55_55) % 13.69/3.71 | (234) all_0_42_42 = e2 | all_0_51_51 = e2 | all_0_54_54 = e2 % 13.69/3.71 | (235) all_0_43_43 = e1 | all_0_47_47 = e1 | all_0_55_55 = e1 % 13.69/3.71 | (236) ~ (all_0_43_43 = all_0_52_52) % 13.69/3.71 | (237) op(e1, e2) = all_0_53_53 % 13.69/3.71 | (238) op(e4, all_0_41_41) = all_0_32_32 % 13.69/3.71 | (239) ~ (e4 = e2) % 13.69/3.71 | (240) ~ (all_0_45_45 = all_0_46_46) % 13.69/3.71 | (241) op(e4, e1) = all_0_40_40 % 13.69/3.71 | (242) all_0_44_44 = e0 | all_0_48_48 = e0 | all_0_56_56 = e0 % 13.69/3.71 | (243) ~ (all_0_56_56 = all_0_58_58) % 13.69/3.71 | (244) all_0_51_51 = e4 | all_0_51_51 = e2 % 13.69/3.71 | (245) ~ (all_0_57_57 = all_0_58_58) % 13.69/3.71 | (246) ~ (all_0_48_48 = e3) % 13.69/3.71 | (247) ~ (all_0_47_47 = all_0_55_55) % 13.69/3.71 | (248) (all_0_23_23 = e4 & ~ (all_0_24_24 = e1)) | (all_0_25_25 = e3 & ~ (all_0_26_26 = e1)) | (all_0_27_27 = e2 & ~ (all_0_28_28 = e1)) | (all_0_29_29 = e0 & ~ (all_0_30_30 = e1)) % 13.69/3.71 | (249) ~ (all_0_48_48 = e1) % 13.69/3.71 | (250) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_58_58 = e4 % 13.69/3.71 | (251) op(e1, all_0_51_51) = all_0_4_4 % 13.69/3.71 | (252) ~ (all_0_58_58 = e2) | all_0_56_56 = e0 % 13.69/3.71 | (253) ~ (all_0_53_53 = all_0_56_56) % 13.69/3.71 | (254) (all_0_16_16 = e3 & ~ (all_0_17_17 = e2)) | (all_0_19_19 = e1 & ~ (all_0_20_20 = e2)) | (all_0_21_21 = e0 & ~ (all_0_22_22 = e2)) | (all_0_49_49 = e4 & ~ (all_0_40_40 = e2)) % 13.69/3.71 | (255) ~ (all_0_43_43 = all_0_46_46) % 13.69/3.71 | (256) op(unit, e2) = e2 % 13.69/3.71 | (257) ~ (all_0_58_58 = e1) % 13.69/3.71 | (258) ~ (all_0_40_40 = all_0_41_41) % 13.69/3.71 | (259) op(e0, all_0_57_57) = all_0_30_30 % 13.69/3.71 | (260) all_0_54_54 = e2 | all_0_55_55 = e2 | all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2 % 13.69/3.71 | (261) ~ (e4 = e1) % 13.69/3.71 | (262) all_0_38_38 = e4 | all_0_39_39 = e4 | all_0_40_40 = e4 | all_0_41_41 = e4 % 13.69/3.72 | % 13.69/3.72 +-Applying beta-rule and splitting (111), into two cases. % 13.69/3.72 |-Branch one: % 13.69/3.72 | (263) ~ (all_0_48_48 = e0) % 13.69/3.72 | % 13.69/3.72 +-Applying beta-rule and splitting (122), into two cases. % 13.69/3.72 |-Branch one: % 13.69/3.72 | (264) all_0_48_48 = e2 % 13.69/3.72 | % 13.69/3.72 | Equations (264) can reduce 167 to: % 13.69/3.72 | (265) ~ (all_0_44_44 = e2) % 13.69/3.72 | % 13.69/3.72 | Equations (264) can reduce 217 to: % 13.69/3.72 | (266) ~ (all_0_49_49 = e2) % 13.69/3.72 | % 13.69/3.72 | Simplifying 266 yields: % 13.69/3.72 | (267) ~ (all_0_49_49 = e2) % 13.69/3.72 | % 13.69/3.72 | Equations (264) can reduce 14 to: % 13.69/3.72 | (268) ~ (all_0_50_50 = e2) % 13.69/3.72 | % 13.69/3.72 | Simplifying 268 yields: % 13.69/3.72 | (269) ~ (all_0_50_50 = e2) % 13.69/3.72 | % 13.69/3.72 | Equations (264) can reduce 130 to: % 13.69/3.72 | (270) ~ (all_0_53_53 = e2) % 13.69/3.72 | % 13.69/3.72 | Simplifying 270 yields: % 13.69/3.72 | (271) ~ (all_0_53_53 = e2) % 13.69/3.72 | % 13.69/3.72 | Equations (264) can reduce 77 to: % 13.69/3.72 | (272) ~ (all_0_56_56 = e2) % 13.69/3.72 | % 13.69/3.72 | Simplifying 272 yields: % 13.69/3.72 | (273) ~ (all_0_56_56 = e2) % 13.69/3.72 | % 13.69/3.72 | Equations (264) can reduce 210 to: % 13.69/3.72 | (274) ~ (e4 = e2) % 13.69/3.72 | % 13.69/3.72 | Simplifying 274 yields: % 13.69/3.72 | (239) ~ (e4 = e2) % 13.69/3.72 | % 13.69/3.72 +-Applying beta-rule and splitting (244), into two cases. % 13.69/3.72 |-Branch one: % 13.69/3.72 | (276) all_0_51_51 = e2 % 13.69/3.72 | % 13.69/3.72 | Equations (276) can reduce 194 to: % 13.69/3.72 | (277) ~ (all_0_42_42 = e2) % 13.69/3.72 | % 13.69/3.72 | Equations (276) can reduce 108 to: % 13.69/3.72 | (278) ~ (all_0_52_52 = e2) % 13.69/3.72 | % 13.69/3.72 | Simplifying 278 yields: % 13.69/3.72 | (279) ~ (all_0_52_52 = e2) % 13.69/3.72 | % 13.69/3.72 | Equations (276) can reduce 80 to: % 13.69/3.72 | (270) ~ (all_0_53_53 = e2) % 13.69/3.72 | % 13.69/3.72 | Simplifying 270 yields: % 13.69/3.72 | (271) ~ (all_0_53_53 = e2) % 13.69/3.72 | % 13.69/3.72 | Equations (276) can reduce 211 to: % 13.69/3.72 | (282) ~ (all_0_54_54 = e2) % 13.69/3.72 | % 13.69/3.72 | Simplifying 282 yields: % 13.69/3.72 | (283) ~ (all_0_54_54 = e2) % 13.69/3.72 | % 13.69/3.72 | Equations (276) can reduce 19 to: % 13.69/3.72 | (284) ~ (e3 = e2) % 13.69/3.72 | % 13.69/3.72 | Simplifying 284 yields: % 13.69/3.72 | (228) ~ (e3 = e2) % 13.69/3.72 | % 13.69/3.72 | Equations (276) can reduce 195 to: % 13.69/3.72 | (157) ~ (e2 = e1) % 13.69/3.72 | % 13.69/3.72 | Equations (276) can reduce 188 to: % 13.69/3.72 | (63) ~ (e2 = e0) % 13.69/3.72 | % 13.69/3.72 +-Applying beta-rule and splitting (81), into two cases. % 13.69/3.72 |-Branch one: % 13.69/3.72 | (288) ~ (all_0_43_43 = e2) % 13.69/3.72 | % 13.69/3.73 +-Applying beta-rule and splitting (252), into two cases. % 13.69/3.73 |-Branch one: % 13.69/3.73 | (289) ~ (all_0_58_58 = e2) % 13.69/3.73 | % 13.69/3.73 +-Applying beta-rule and splitting (190), into two cases. % 13.69/3.73 |-Branch one: % 13.69/3.73 | (290) ~ (all_0_43_43 = e0) % 13.69/3.73 | % 13.69/3.73 +-Applying beta-rule and splitting (82), into two cases. % 13.69/3.73 |-Branch one: % 13.69/3.73 | (291) ~ (all_0_38_38 = e0) % 13.69/3.73 | % 13.69/3.73 +-Applying beta-rule and splitting (197), into two cases. % 13.69/3.73 |-Branch one: % 13.69/3.73 | (292) all_0_38_38 = e4 % 13.69/3.73 | % 13.69/3.73 | Equations (292) can reduce 202 to: % 13.69/3.73 | (293) ~ (all_0_39_39 = e4) % 13.69/3.73 | % 13.69/3.73 | Simplifying 293 yields: % 13.69/3.73 | (294) ~ (all_0_39_39 = e4) % 13.69/3.73 | % 13.69/3.73 | Equations (292) can reduce 27 to: % 13.69/3.73 | (295) ~ (all_0_42_42 = e4) % 13.69/3.73 | % 13.69/3.73 | Simplifying 295 yields: % 13.69/3.73 | (296) ~ (all_0_42_42 = e4) % 13.69/3.73 | % 13.69/3.73 | Equations (292) can reduce 215 to: % 13.69/3.73 | (297) ~ (all_0_54_54 = e4) % 13.69/3.73 | % 13.69/3.73 | Simplifying 297 yields: % 13.69/3.73 | (298) ~ (all_0_54_54 = e4) % 13.69/3.73 | % 13.69/3.73 | Equations (292) can reduce 21 to: % 13.69/3.73 | (39) ~ (e4 = e3) % 13.69/3.73 | % 13.69/3.73 | Equations (292) can reduce 291 to: % 13.69/3.73 | (12) ~ (e4 = e0) % 13.69/3.73 | % 13.69/3.73 +-Applying beta-rule and splitting (24), into two cases. % 13.69/3.73 |-Branch one: % 13.69/3.73 | (301) ~ (all_0_58_58 = e4) % 13.69/3.73 | % 13.69/3.73 +-Applying beta-rule and splitting (54), into two cases. % 13.69/3.73 |-Branch one: % 13.69/3.73 | (302) ~ (all_0_58_58 = e3) % 13.69/3.73 | % 13.69/3.73 +-Applying beta-rule and splitting (75), into two cases. % 13.69/3.73 |-Branch one: % 13.69/3.73 | (303) all_0_58_58 = e2 % 13.69/3.73 | % 13.69/3.73 | Equations (303) can reduce 289 to: % 13.69/3.73 | (304) $false % 13.69/3.73 | % 13.69/3.73 |-The branch is then unsatisfiable % 13.69/3.73 |-Branch two: % 13.69/3.73 | (289) ~ (all_0_58_58 = e2) % 13.69/3.73 | (306) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e0 % 13.69/3.73 | % 13.69/3.73 +-Applying beta-rule and splitting (306), into two cases. % 13.69/3.73 |-Branch one: % 13.69/3.73 | (307) all_0_58_58 = e4 % 13.69/3.73 | % 13.69/3.73 | Equations (307) can reduce 301 to: % 13.69/3.73 | (304) $false % 13.69/3.73 | % 13.69/3.73 |-The branch is then unsatisfiable % 13.69/3.73 |-Branch two: % 13.69/3.73 | (301) ~ (all_0_58_58 = e4) % 13.69/3.73 | (310) all_0_58_58 = e3 | all_0_58_58 = e0 % 13.69/3.73 | % 13.69/3.73 +-Applying beta-rule and splitting (310), into two cases. % 13.69/3.73 |-Branch one: % 13.69/3.73 | (311) all_0_58_58 = e0 % 13.69/3.73 | % 13.69/3.73 | Equations (311) can reduce 143 to: % 13.69/3.73 | (312) ~ (all_0_41_41 = e0) % 13.69/3.73 | % 13.69/3.73 | Equations (311) can reduce 168 to: % 13.69/3.73 | (313) ~ (all_0_54_54 = e0) % 13.69/3.73 | % 13.69/3.73 | Equations (311) can reduce 243 to: % 13.69/3.73 | (314) ~ (all_0_56_56 = e0) % 13.69/3.73 | % 13.69/3.73 | Equations (311) can reduce 301 to: % 13.69/3.73 | (315) ~ (e4 = e0) % 13.69/3.73 | % 13.69/3.73 | Simplifying 315 yields: % 13.69/3.73 | (12) ~ (e4 = e0) % 13.69/3.73 | % 13.69/3.73 +-Applying beta-rule and splitting (178), into two cases. % 13.69/3.73 |-Branch one: % 13.69/3.73 | (317) all_0_38_38 = e0 % 13.69/3.73 | % 13.69/3.73 | Combining equations (292,317) yields a new equation: % 13.69/3.73 | (318) e4 = e0 % 13.69/3.73 | % 13.69/3.73 | Simplifying 318 yields: % 13.69/3.73 | (319) e4 = e0 % 13.69/3.73 | % 13.69/3.73 | Equations (319) can reduce 12 to: % 13.69/3.73 | (304) $false % 13.69/3.73 | % 13.69/3.73 |-The branch is then unsatisfiable % 13.69/3.73 |-Branch two: % 13.69/3.73 | (291) ~ (all_0_38_38 = e0) % 13.69/3.73 | (322) all_0_39_39 = e0 | all_0_41_41 = e0 % 13.69/3.73 | % 13.69/3.73 +-Applying beta-rule and splitting (23), into two cases. % 13.69/3.73 |-Branch one: % 13.69/3.73 | (323) all_0_39_39 = e0 % 13.69/3.73 | % 13.69/3.73 | Equations (323) can reduce 294 to: % 13.69/3.73 | (315) ~ (e4 = e0) % 13.69/3.73 | % 13.69/3.73 | Simplifying 315 yields: % 13.69/3.73 | (12) ~ (e4 = e0) % 13.69/3.73 | % 13.69/3.73 +-Applying beta-rule and splitting (223), into two cases. % 13.69/3.73 |-Branch one: % 13.69/3.73 | (317) all_0_38_38 = e0 % 13.69/3.73 | % 13.69/3.73 | Combining equations (292,317) yields a new equation: % 13.69/3.73 | (318) e4 = e0 % 13.69/3.73 | % 13.69/3.73 | Simplifying 318 yields: % 13.69/3.73 | (319) e4 = e0 % 13.69/3.73 | % 13.69/3.73 | Equations (319) can reduce 12 to: % 13.69/3.73 | (304) $false % 13.69/3.73 | % 13.69/3.73 |-The branch is then unsatisfiable % 13.69/3.73 |-Branch two: % 13.69/3.73 | (291) ~ (all_0_38_38 = e0) % 13.69/3.73 | (331) all_0_42_42 = e0 | all_0_54_54 = e0 % 13.69/3.73 | % 13.69/3.74 +-Applying beta-rule and splitting (331), into two cases. % 13.69/3.74 |-Branch one: % 13.69/3.74 | (332) all_0_42_42 = e0 % 13.69/3.74 | % 13.69/3.74 | Equations (332) can reduce 231 to: % 13.69/3.74 | (333) ~ (all_0_44_44 = e0) % 13.69/3.74 | % 13.69/3.74 | Simplifying 333 yields: % 13.69/3.74 | (334) ~ (all_0_44_44 = e0) % 13.69/3.74 | % 13.69/3.74 | Equations (332) can reduce 277 to: % 13.69/3.74 | (335) ~ (e2 = e0) % 13.69/3.74 | % 13.69/3.74 | Simplifying 335 yields: % 13.69/3.74 | (63) ~ (e2 = e0) % 13.69/3.74 | % 13.69/3.74 +-Applying beta-rule and splitting (242), into two cases. % 13.69/3.74 |-Branch one: % 13.69/3.74 | (337) all_0_44_44 = e0 % 13.69/3.74 | % 13.69/3.74 | Equations (337) can reduce 334 to: % 13.69/3.74 | (304) $false % 13.69/3.74 | % 13.69/3.74 |-The branch is then unsatisfiable % 13.69/3.74 |-Branch two: % 13.69/3.74 | (334) ~ (all_0_44_44 = e0) % 13.69/3.74 | (340) all_0_48_48 = e0 | all_0_56_56 = e0 % 13.69/3.74 | % 13.69/3.74 +-Applying beta-rule and splitting (340), into two cases. % 13.69/3.74 |-Branch one: % 13.69/3.74 | (341) all_0_48_48 = e0 % 13.69/3.74 | % 13.69/3.74 | Combining equations (264,341) yields a new equation: % 13.69/3.74 | (342) e2 = e0 % 13.69/3.74 | % 13.69/3.74 | Simplifying 342 yields: % 13.69/3.74 | (343) e2 = e0 % 13.69/3.74 | % 13.69/3.74 | Equations (343) can reduce 63 to: % 13.69/3.74 | (304) $false % 13.69/3.74 | % 13.69/3.74 |-The branch is then unsatisfiable % 13.69/3.74 |-Branch two: % 13.69/3.74 | (263) ~ (all_0_48_48 = e0) % 13.69/3.74 | (346) all_0_56_56 = e0 % 13.69/3.74 | % 13.69/3.74 | Equations (346) can reduce 314 to: % 13.69/3.74 | (304) $false % 13.69/3.74 | % 13.69/3.74 |-The branch is then unsatisfiable % 13.69/3.74 |-Branch two: % 13.69/3.74 | (348) ~ (all_0_42_42 = e0) % 13.69/3.74 | (349) all_0_54_54 = e0 % 13.69/3.74 | % 13.69/3.74 | Equations (349) can reduce 313 to: % 13.69/3.74 | (304) $false % 13.69/3.74 | % 13.69/3.74 |-The branch is then unsatisfiable % 13.69/3.74 |-Branch two: % 13.69/3.74 | (351) ~ (all_0_39_39 = e0) % 13.69/3.74 | (352) all_0_43_43 = e0 | all_0_47_47 = e0 | all_0_55_55 = e0 % 13.69/3.74 | % 13.69/3.74 +-Applying beta-rule and splitting (322), into two cases. % 13.69/3.74 |-Branch one: % 13.69/3.74 | (323) all_0_39_39 = e0 % 13.69/3.74 | % 13.69/3.74 | Equations (323) can reduce 351 to: % 13.69/3.74 | (304) $false % 13.69/3.74 | % 13.69/3.74 |-The branch is then unsatisfiable % 13.69/3.74 |-Branch two: % 13.69/3.74 | (351) ~ (all_0_39_39 = e0) % 13.69/3.74 | (356) all_0_41_41 = e0 % 13.69/3.74 | % 13.69/3.74 | Equations (356) can reduce 312 to: % 13.69/3.74 | (304) $false % 13.69/3.74 | % 13.69/3.74 |-The branch is then unsatisfiable % 13.69/3.74 |-Branch two: % 13.69/3.74 | (358) ~ (all_0_58_58 = e0) % 13.69/3.74 | (359) all_0_58_58 = e3 % 13.69/3.74 | % 13.69/3.74 | Equations (359) can reduce 302 to: % 13.69/3.74 | (304) $false % 13.69/3.74 | % 13.69/3.74 |-The branch is then unsatisfiable % 13.69/3.74 |-Branch two: % 13.69/3.74 | (359) all_0_58_58 = e3 % 13.69/3.74 | (362) all_0_55_55 = e0 % 13.69/3.74 | % 13.69/3.74 | Equations (362) can reduce 207 to: % 13.69/3.74 | (351) ~ (all_0_39_39 = e0) % 13.69/3.74 | % 13.69/3.74 | Equations (362) can reduce 247 to: % 13.69/3.74 | (364) ~ (all_0_47_47 = e0) % 13.69/3.74 | % 13.69/3.74 | Equations (362) can reduce 107 to: % 13.69/3.74 | (365) ~ (all_0_56_56 = e0) % 13.69/3.74 | % 13.69/3.74 | Simplifying 365 yields: % 13.69/3.74 | (314) ~ (all_0_56_56 = e0) % 13.69/3.74 | % 13.69/3.74 +-Applying beta-rule and splitting (242), into two cases. % 13.69/3.74 |-Branch one: % 13.69/3.74 | (337) all_0_44_44 = e0 % 13.69/3.74 | % 13.69/3.74 | Equations (337) can reduce 265 to: % 13.69/3.74 | (335) ~ (e2 = e0) % 13.69/3.74 | % 13.69/3.74 | Simplifying 335 yields: % 13.69/3.74 | (63) ~ (e2 = e0) % 13.69/3.74 | % 13.69/3.74 +-Applying beta-rule and splitting (103), into two cases. % 13.69/3.74 |-Branch one: % 13.69/3.74 | (370) all_0_47_47 = e0 % 13.69/3.74 | % 13.69/3.74 | Equations (370) can reduce 364 to: % 13.69/3.74 | (304) $false % 13.69/3.74 | % 13.69/3.74 |-The branch is then unsatisfiable % 13.69/3.74 |-Branch two: % 13.69/3.74 | (364) ~ (all_0_47_47 = e0) % 13.69/3.74 | (373) all_0_48_48 = e0 | all_0_50_50 = e0 % 13.69/3.74 | % 13.69/3.74 +-Applying beta-rule and splitting (373), into two cases. % 13.69/3.74 |-Branch one: % 13.69/3.74 | (341) all_0_48_48 = e0 % 13.69/3.74 | % 13.69/3.74 | Combining equations (264,341) yields a new equation: % 13.69/3.74 | (342) e2 = e0 % 13.69/3.74 | % 13.69/3.74 | Simplifying 342 yields: % 13.69/3.74 | (343) e2 = e0 % 13.69/3.74 | % 13.69/3.74 | Equations (343) can reduce 63 to: % 13.69/3.74 | (304) $false % 13.69/3.74 | % 13.69/3.74 |-The branch is then unsatisfiable % 13.69/3.74 |-Branch two: % 13.69/3.74 | (263) ~ (all_0_48_48 = e0) % 13.69/3.74 | (379) all_0_50_50 = e0 % 13.69/3.74 | % 13.69/3.74 | Equations (379) can reduce 174 to: % 13.69/3.74 | (312) ~ (all_0_41_41 = e0) % 13.69/3.74 | % 13.69/3.74 +-Applying beta-rule and splitting (178), into two cases. % 13.69/3.74 |-Branch one: % 13.69/3.74 | (317) all_0_38_38 = e0 % 13.69/3.74 | % 13.69/3.74 | Combining equations (292,317) yields a new equation: % 13.69/3.74 | (318) e4 = e0 % 13.69/3.74 | % 13.69/3.74 | Simplifying 318 yields: % 13.69/3.74 | (319) e4 = e0 % 13.69/3.74 | % 13.69/3.74 | Equations (319) can reduce 12 to: % 13.69/3.74 | (304) $false % 13.69/3.74 | % 13.69/3.74 |-The branch is then unsatisfiable % 13.69/3.74 |-Branch two: % 13.69/3.74 | (291) ~ (all_0_38_38 = e0) % 13.69/3.74 | (322) all_0_39_39 = e0 | all_0_41_41 = e0 % 13.69/3.74 | % 13.69/3.74 +-Applying beta-rule and splitting (322), into two cases. % 13.69/3.74 |-Branch one: % 13.69/3.74 | (323) all_0_39_39 = e0 % 13.69/3.74 | % 13.69/3.74 | Equations (323) can reduce 351 to: % 13.69/3.74 | (304) $false % 13.69/3.74 | % 13.69/3.74 |-The branch is then unsatisfiable % 13.69/3.74 |-Branch two: % 13.69/3.74 | (351) ~ (all_0_39_39 = e0) % 13.69/3.74 | (356) all_0_41_41 = e0 % 13.69/3.74 | % 13.69/3.74 | Equations (356) can reduce 312 to: % 13.69/3.74 | (304) $false % 13.69/3.74 | % 13.69/3.74 |-The branch is then unsatisfiable % 13.69/3.74 |-Branch two: % 13.69/3.74 | (334) ~ (all_0_44_44 = e0) % 13.69/3.74 | (340) all_0_48_48 = e0 | all_0_56_56 = e0 % 13.69/3.74 | % 13.69/3.74 +-Applying beta-rule and splitting (340), into two cases. % 13.69/3.74 |-Branch one: % 13.69/3.74 | (341) all_0_48_48 = e0 % 13.69/3.74 | % 13.69/3.74 | Combining equations (264,341) yields a new equation: % 13.69/3.74 | (342) e2 = e0 % 13.69/3.74 | % 13.69/3.74 | Simplifying 342 yields: % 13.69/3.74 | (343) e2 = e0 % 13.69/3.75 | % 13.69/3.75 | Equations (343) can reduce 63 to: % 13.69/3.75 | (304) $false % 13.69/3.75 | % 13.69/3.75 |-The branch is then unsatisfiable % 13.69/3.75 |-Branch two: % 13.69/3.75 | (263) ~ (all_0_48_48 = e0) % 13.69/3.75 | (346) all_0_56_56 = e0 % 13.69/3.75 | % 13.69/3.75 | Equations (346) can reduce 314 to: % 13.69/3.75 | (304) $false % 13.69/3.75 | % 13.69/3.75 |-The branch is then unsatisfiable % 13.69/3.75 |-Branch two: % 13.69/3.75 | (307) all_0_58_58 = e4 % 13.69/3.75 | (349) all_0_54_54 = e0 % 13.69/3.75 | % 13.69/3.75 | Equations (307) can reduce 139 to: % 13.69/3.75 | (403) ~ (all_0_46_46 = e4) % 13.69/3.75 | % 13.69/3.75 | Equations (349) can reduce 200 to: % 13.69/3.75 | (365) ~ (all_0_56_56 = e0) % 13.69/3.75 | % 13.69/3.75 | Simplifying 365 yields: % 13.69/3.75 | (314) ~ (all_0_56_56 = e0) % 13.69/3.75 | % 13.69/3.75 | Equations (349) can reduce 298 to: % 13.69/3.75 | (315) ~ (e4 = e0) % 13.69/3.75 | % 13.69/3.75 | Simplifying 315 yields: % 13.69/3.75 | (12) ~ (e4 = e0) % 13.69/3.75 | % 13.69/3.75 | Equations (349) can reduce 283 to: % 13.69/3.75 | (335) ~ (e2 = e0) % 13.69/3.75 | % 13.69/3.75 | Simplifying 335 yields: % 13.69/3.75 | (63) ~ (e2 = e0) % 13.69/3.75 | % 13.69/3.75 | Equations (307) can reduce 243 to: % 13.69/3.75 | (410) ~ (all_0_56_56 = e4) % 13.69/3.75 | % 13.69/3.75 +-Applying beta-rule and splitting (242), into two cases. % 13.69/3.75 |-Branch one: % 13.69/3.75 | (337) all_0_44_44 = e0 % 13.69/3.75 | % 13.69/3.75 | Equations (337) can reduce 173 to: % 13.69/3.75 | (290) ~ (all_0_43_43 = e0) % 13.69/3.75 | % 13.69/3.75 | Equations (337) can reduce 189 to: % 13.69/3.75 | (365) ~ (all_0_56_56 = e0) % 13.69/3.75 | % 13.69/3.75 | Simplifying 365 yields: % 13.69/3.75 | (314) ~ (all_0_56_56 = e0) % 13.69/3.75 | % 13.69/3.75 +-Applying beta-rule and splitting (163), into two cases. % 13.69/3.75 |-Branch one: % 13.69/3.75 | (415) all_0_42_42 = e4 % 13.69/3.75 | % 13.69/3.75 | Equations (415) can reduce 296 to: % 13.69/3.75 | (304) $false % 13.69/3.75 | % 13.69/3.75 |-The branch is then unsatisfiable % 13.69/3.75 |-Branch two: % 13.69/3.75 | (296) ~ (all_0_42_42 = e4) % 13.69/3.75 | (418) all_0_44_44 = e4 | all_0_45_45 = e4 | all_0_46_46 = e4 % 13.69/3.75 | % 13.69/3.75 +-Applying beta-rule and splitting (418), into two cases. % 13.69/3.75 |-Branch one: % 13.69/3.75 | (419) all_0_44_44 = e4 % 13.69/3.75 | % 13.69/3.75 | Combining equations (337,419) yields a new equation: % 13.69/3.75 | (319) e4 = e0 % 13.69/3.75 | % 13.69/3.75 | Equations (319) can reduce 12 to: % 13.69/3.75 | (304) $false % 13.69/3.75 | % 13.69/3.75 |-The branch is then unsatisfiable % 13.69/3.75 |-Branch two: % 13.69/3.75 | (422) ~ (all_0_44_44 = e4) % 13.69/3.75 | (423) all_0_45_45 = e4 | all_0_46_46 = e4 % 13.69/3.75 | % 13.69/3.75 +-Applying beta-rule and splitting (423), into two cases. % 13.69/3.75 |-Branch one: % 13.69/3.75 | (424) all_0_45_45 = e4 % 13.69/3.75 | % 13.69/3.75 +-Applying beta-rule and splitting (158), into two cases. % 13.69/3.75 |-Branch one: % 13.69/3.75 | (425) ~ (all_0_43_43 = e1) % 13.69/3.75 | % 13.69/3.75 +-Applying beta-rule and splitting (95), into two cases. % 13.69/3.75 |-Branch one: % 13.69/3.75 | (426) all_0_43_43 = e2 % 13.69/3.75 | % 13.69/3.75 | Equations (426) can reduce 288 to: % 13.69/3.75 | (304) $false % 13.69/3.75 | % 13.69/3.75 |-The branch is then unsatisfiable % 13.69/3.75 |-Branch two: % 13.69/3.75 | (288) ~ (all_0_43_43 = e2) % 13.69/3.75 | (429) all_0_43_43 = e3 | all_0_43_43 = e1 | all_0_43_43 = e0 % 13.69/3.75 | % 13.69/3.75 +-Applying beta-rule and splitting (429), into two cases. % 13.69/3.75 |-Branch one: % 13.69/3.75 | (430) all_0_43_43 = e0 % 13.69/3.75 | % 13.69/3.75 | Equations (430) can reduce 290 to: % 13.69/3.75 | (304) $false % 13.69/3.75 | % 13.69/3.75 |-The branch is then unsatisfiable % 13.69/3.75 |-Branch two: % 13.69/3.75 | (290) ~ (all_0_43_43 = e0) % 13.69/3.75 | (433) all_0_43_43 = e3 | all_0_43_43 = e1 % 13.69/3.75 | % 13.69/3.75 +-Applying beta-rule and splitting (433), into two cases. % 13.69/3.75 |-Branch one: % 13.69/3.75 | (434) all_0_43_43 = e3 % 13.69/3.75 | % 13.69/3.75 | Equations (434) can reduce 236 to: % 13.69/3.75 | (435) ~ (all_0_52_52 = e3) % 13.69/3.75 | % 13.69/3.75 | Simplifying 435 yields: % 13.69/3.75 | (436) ~ (all_0_52_52 = e3) % 13.69/3.75 | % 13.69/3.75 +-Applying beta-rule and splitting (7), into two cases. % 13.69/3.75 |-Branch one: % 13.69/3.75 | (437) all_0_52_52 = e3 % 13.69/3.75 | % 13.69/3.75 | Equations (437) can reduce 436 to: % 13.69/3.75 | (304) $false % 13.69/3.75 | % 13.69/3.75 |-The branch is then unsatisfiable % 13.69/3.75 |-Branch two: % 13.69/3.75 | (436) ~ (all_0_52_52 = e3) % 13.69/3.75 | (440) all_0_53_53 = e3 % 13.69/3.75 | % 13.69/3.75 | Equations (440) can reduce 253 to: % 13.69/3.75 | (441) ~ (all_0_56_56 = e3) % 13.69/3.75 | % 13.69/3.75 | Simplifying 441 yields: % 13.69/3.75 | (442) ~ (all_0_56_56 = e3) % 13.69/3.75 | % 13.69/3.75 +-Applying beta-rule and splitting (199), into two cases. % 13.69/3.75 |-Branch one: % 13.69/3.75 | (443) all_0_56_56 = e2 % 13.69/3.75 | % 13.69/3.75 | Equations (443) can reduce 273 to: % 13.69/3.75 | (304) $false % 13.69/3.75 | % 13.69/3.75 |-The branch is then unsatisfiable % 13.69/3.75 |-Branch two: % 13.69/3.75 | (273) ~ (all_0_56_56 = e2) % 13.69/3.75 | (446) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0 % 13.69/3.75 | % 13.69/3.75 +-Applying beta-rule and splitting (446), into two cases. % 13.69/3.75 |-Branch one: % 13.69/3.75 | (447) all_0_56_56 = e4 % 13.69/3.75 | % 13.69/3.75 | Equations (447) can reduce 410 to: % 13.69/3.75 | (304) $false % 13.69/3.75 | % 13.69/3.75 |-The branch is then unsatisfiable % 13.69/3.75 |-Branch two: % 13.69/3.75 | (410) ~ (all_0_56_56 = e4) % 13.69/3.75 | (450) all_0_56_56 = e3 | all_0_56_56 = e0 % 13.69/3.75 | % 13.69/3.75 +-Applying beta-rule and splitting (450), into two cases. % 13.69/3.75 |-Branch one: % 13.69/3.75 | (346) all_0_56_56 = e0 % 13.69/3.75 | % 13.69/3.75 | Equations (346) can reduce 314 to: % 13.69/3.75 | (304) $false % 13.69/3.75 | % 13.69/3.75 |-The branch is then unsatisfiable % 13.69/3.75 |-Branch two: % 13.69/3.75 | (314) ~ (all_0_56_56 = e0) % 13.69/3.75 | (454) all_0_56_56 = e3 % 13.69/3.75 | % 13.69/3.75 | Equations (454) can reduce 442 to: % 13.69/3.75 | (304) $false % 13.69/3.75 | % 13.69/3.75 |-The branch is then unsatisfiable % 13.69/3.75 |-Branch two: % 13.69/3.75 | (456) ~ (all_0_43_43 = e3) % 13.69/3.75 | (457) all_0_43_43 = e1 % 13.69/3.75 | % 13.69/3.75 | Equations (457) can reduce 425 to: % 13.69/3.75 | (304) $false % 13.69/3.75 | % 13.69/3.75 |-The branch is then unsatisfiable % 13.69/3.75 |-Branch two: % 13.69/3.75 | (457) all_0_43_43 = e1 % 13.69/3.75 | (460) all_0_45_45 = e3 % 13.69/3.75 | % 13.69/3.75 | Combining equations (424,460) yields a new equation: % 13.69/3.75 | (461) e4 = e3 % 13.69/3.75 | % 13.69/3.75 | Simplifying 461 yields: % 13.69/3.75 | (462) e4 = e3 % 13.69/3.75 | % 13.69/3.75 | Equations (462) can reduce 39 to: % 13.69/3.75 | (304) $false % 13.69/3.75 | % 13.69/3.75 |-The branch is then unsatisfiable % 13.69/3.75 |-Branch two: % 13.69/3.75 | (464) ~ (all_0_45_45 = e4) % 13.69/3.75 | (465) all_0_46_46 = e4 % 13.69/3.75 | % 13.69/3.76 | Equations (465) can reduce 403 to: % 13.69/3.76 | (304) $false % 13.69/3.76 | % 13.69/3.76 |-The branch is then unsatisfiable % 13.69/3.76 |-Branch two: % 13.69/3.76 | (334) ~ (all_0_44_44 = e0) % 13.69/3.76 | (340) all_0_48_48 = e0 | all_0_56_56 = e0 % 13.69/3.76 | % 13.69/3.76 +-Applying beta-rule and splitting (340), into two cases. % 13.69/3.76 |-Branch one: % 13.69/3.76 | (341) all_0_48_48 = e0 % 13.69/3.76 | % 13.69/3.76 | Combining equations (264,341) yields a new equation: % 13.69/3.76 | (342) e2 = e0 % 13.69/3.76 | % 13.69/3.76 | Simplifying 342 yields: % 13.69/3.76 | (343) e2 = e0 % 13.69/3.76 | % 13.69/3.76 | Equations (343) can reduce 63 to: % 13.69/3.76 | (304) $false % 13.69/3.76 | % 13.69/3.76 |-The branch is then unsatisfiable % 13.69/3.76 |-Branch two: % 13.69/3.76 | (263) ~ (all_0_48_48 = e0) % 13.69/3.76 | (346) all_0_56_56 = e0 % 13.69/3.76 | % 13.69/3.76 | Equations (346) can reduce 314 to: % 13.69/3.76 | (304) $false % 13.69/3.76 | % 13.69/3.76 |-The branch is then unsatisfiable % 13.69/3.76 |-Branch two: % 13.69/3.76 | (476) ~ (all_0_38_38 = e4) % 13.69/3.76 | (317) all_0_38_38 = e0 % 13.69/3.76 | % 13.69/3.76 | Equations (317) can reduce 291 to: % 13.69/3.76 | (304) $false % 13.69/3.76 | % 13.69/3.76 |-The branch is then unsatisfiable % 13.69/3.76 |-Branch two: % 13.69/3.76 | (317) all_0_38_38 = e0 % 13.69/3.76 | (480) all_0_41_41 = e4 % 13.69/3.76 | % 13.69/3.76 | Equations (317) can reduce 202 to: % 13.69/3.76 | (481) ~ (all_0_39_39 = e0) % 13.69/3.76 | % 13.69/3.76 | Simplifying 481 yields: % 13.69/3.76 | (351) ~ (all_0_39_39 = e0) % 13.69/3.76 | % 13.69/3.76 | Equations (480) can reduce 138 to: % 13.69/3.76 | (294) ~ (all_0_39_39 = e4) % 13.69/3.76 | % 13.69/3.76 | Equations (480) can reduce 258 to: % 13.69/3.76 | (484) ~ (all_0_40_40 = e4) % 13.69/3.76 | % 13.69/3.76 | Equations (480) can reduce 55 to: % 13.69/3.76 | (485) ~ (all_0_46_46 = e4) % 13.69/3.76 | % 13.69/3.76 | Simplifying 485 yields: % 13.69/3.76 | (403) ~ (all_0_46_46 = e4) % 13.69/3.76 | % 13.69/3.76 | Equations (480) can reduce 174 to: % 13.69/3.76 | (487) ~ (all_0_50_50 = e4) % 13.69/3.76 | % 13.69/3.76 | Simplifying 487 yields: % 13.69/3.76 | (488) ~ (all_0_50_50 = e4) % 13.69/3.76 | % 13.69/3.76 | Equations (480) can reduce 143 to: % 13.69/3.76 | (489) ~ (all_0_58_58 = e4) % 13.69/3.76 | % 13.69/3.76 | Simplifying 489 yields: % 13.69/3.76 | (301) ~ (all_0_58_58 = e4) % 13.69/3.76 | % 13.69/3.76 | Equations (480) can reduce 224 to: % 13.69/3.76 | (261) ~ (e4 = e1) % 13.69/3.76 | % 13.69/3.76 +-Applying beta-rule and splitting (71), into two cases. % 13.69/3.76 |-Branch one: % 13.69/3.76 | (492) all_0_50_50 = e2 % 13.69/3.76 | % 13.69/3.76 | Equations (492) can reduce 269 to: % 13.69/3.76 | (304) $false % 13.69/3.76 | % 13.69/3.76 |-The branch is then unsatisfiable % 13.69/3.76 |-Branch two: % 13.69/3.76 | (269) ~ (all_0_50_50 = e2) % 13.69/3.76 | (495) all_0_50_50 = e4 | all_0_50_50 = e0 % 13.69/3.76 | % 13.69/3.76 +-Applying beta-rule and splitting (495), into two cases. % 13.69/3.76 |-Branch one: % 13.69/3.76 | (496) all_0_50_50 = e4 % 13.69/3.76 | % 13.69/3.76 | Equations (496) can reduce 488 to: % 13.69/3.76 | (304) $false % 13.69/3.76 | % 13.69/3.76 |-The branch is then unsatisfiable % 13.69/3.76 |-Branch two: % 13.69/3.76 | (488) ~ (all_0_50_50 = e4) % 13.69/3.76 | (379) all_0_50_50 = e0 % 13.69/3.76 | % 13.69/3.76 | Equations (379) can reduce 134 to: % 13.69/3.76 | (364) ~ (all_0_47_47 = e0) % 13.69/3.76 | % 13.69/3.76 | Equations (379) can reduce 90 to: % 13.69/3.76 | (86) ~ (all_0_49_49 = e0) % 13.69/3.76 | % 13.69/3.76 | Equations (379) can reduce 488 to: % 13.69/3.76 | (315) ~ (e4 = e0) % 13.69/3.76 | % 13.69/3.76 | Simplifying 315 yields: % 13.69/3.76 | (12) ~ (e4 = e0) % 13.69/3.76 | % 13.69/3.76 | Equations (379) can reduce 269 to: % 13.69/3.76 | (335) ~ (e2 = e0) % 13.69/3.76 | % 13.69/3.76 | Simplifying 335 yields: % 13.69/3.76 | (63) ~ (e2 = e0) % 13.69/3.76 | % 13.69/3.76 +-Applying beta-rule and splitting (23), into two cases. % 13.69/3.76 |-Branch one: % 13.69/3.76 | (323) all_0_39_39 = e0 % 13.69/3.76 | % 13.69/3.76 | Equations (323) can reduce 351 to: % 13.69/3.76 | (304) $false % 13.69/3.76 | % 13.69/3.76 |-The branch is then unsatisfiable % 13.69/3.76 |-Branch two: % 13.69/3.76 | (351) ~ (all_0_39_39 = e0) % 13.69/3.76 | (352) all_0_43_43 = e0 | all_0_47_47 = e0 | all_0_55_55 = e0 % 13.69/3.76 | % 13.69/3.76 +-Applying beta-rule and splitting (352), into two cases. % 13.69/3.76 |-Branch one: % 13.69/3.76 | (430) all_0_43_43 = e0 % 13.69/3.76 | % 13.69/3.76 | Equations (430) can reduce 290 to: % 13.69/3.76 | (304) $false % 13.69/3.76 | % 13.69/3.76 |-The branch is then unsatisfiable % 13.69/3.76 |-Branch two: % 13.69/3.76 | (290) ~ (all_0_43_43 = e0) % 13.69/3.76 | (513) all_0_47_47 = e0 | all_0_55_55 = e0 % 13.69/3.76 | % 13.69/3.76 +-Applying beta-rule and splitting (513), into two cases. % 13.69/3.76 |-Branch one: % 13.69/3.76 | (370) all_0_47_47 = e0 % 13.69/3.76 | % 13.69/3.76 | Equations (370) can reduce 364 to: % 13.69/3.76 | (304) $false % 13.69/3.76 | % 13.69/3.76 |-The branch is then unsatisfiable % 13.69/3.76 |-Branch two: % 13.69/3.76 | (364) ~ (all_0_47_47 = e0) % 13.69/3.76 | (362) all_0_55_55 = e0 % 13.69/3.76 | % 13.69/3.76 | Equations (362) can reduce 207 to: % 13.69/3.76 | (351) ~ (all_0_39_39 = e0) % 13.69/3.76 | % 13.69/3.76 | Equations (362) can reduce 232 to: % 13.69/3.76 | (186) ~ (all_0_52_52 = e0) % 13.69/3.76 | % 13.69/3.76 | Equations (362) can reduce 233 to: % 13.69/3.76 | (313) ~ (all_0_54_54 = e0) % 13.69/3.76 | % 13.69/3.76 | Equations (362) can reduce 107 to: % 13.69/3.76 | (365) ~ (all_0_56_56 = e0) % 13.69/3.76 | % 13.69/3.76 | Simplifying 365 yields: % 13.69/3.76 | (314) ~ (all_0_56_56 = e0) % 13.69/3.76 | % 13.69/3.76 | Equations (362) can reduce 50 to: % 13.69/3.76 | (523) ~ (all_0_57_57 = e0) % 13.69/3.76 | % 13.69/3.76 | Simplifying 523 yields: % 13.69/3.76 | (105) ~ (all_0_57_57 = e0) % 13.69/3.76 | % 13.69/3.76 | Equations (362) can reduce 126 to: % 13.69/3.76 | (525) ~ (all_0_58_58 = e0) % 13.69/3.76 | % 13.69/3.76 | Simplifying 525 yields: % 13.69/3.76 | (358) ~ (all_0_58_58 = e0) % 13.69/3.76 | % 13.69/3.76 | From (362) and (93) follows: % 13.69/3.76 | (527) op(e3, e0) = all_0_14_14 % 13.69/3.76 | % 13.69/3.76 +-Applying beta-rule and splitting (242), into two cases. % 13.69/3.76 |-Branch one: % 13.69/3.76 | (337) all_0_44_44 = e0 % 13.69/3.76 | % 13.69/3.76 | Equations (337) can reduce 231 to: % 13.69/3.76 | (348) ~ (all_0_42_42 = e0) % 13.69/3.76 | % 13.69/3.76 | Equations (337) can reduce 173 to: % 13.69/3.76 | (290) ~ (all_0_43_43 = e0) % 13.69/3.76 | % 13.69/3.76 | Equations (337) can reduce 189 to: % 13.69/3.76 | (365) ~ (all_0_56_56 = e0) % 13.69/3.76 | % 13.69/3.76 | Simplifying 365 yields: % 13.69/3.76 | (314) ~ (all_0_56_56 = e0) % 13.69/3.76 | % 13.69/3.76 | Equations (337) can reduce 265 to: % 13.69/3.76 | (335) ~ (e2 = e0) % 13.69/3.76 | % 13.69/3.76 | Simplifying 335 yields: % 13.69/3.76 | (63) ~ (e2 = e0) % 13.69/3.76 | % 13.69/3.76 | Equations (337) can reduce 206 to: % 13.69/3.76 | (535) ~ (e1 = e0) % 13.69/3.76 | % 13.69/3.76 | Simplifying 535 yields: % 13.69/3.76 | (150) ~ (e1 = e0) % 13.69/3.76 | % 13.69/3.76 | From (337) and (123) follows: % 13.69/3.76 | (537) op(e3, e0) = all_0_17_17 % 13.69/3.76 | % 13.69/3.76 | From (337) and (45) follows: % 13.69/3.76 | (538) op(e3, e2) = e0 % 13.69/3.76 | % 13.69/3.76 +-Applying beta-rule and splitting (99), into two cases. % 13.69/3.76 |-Branch one: % 13.69/3.76 | (539) all_0_41_41 = e2 % 13.69/3.76 | % 13.69/3.76 | Combining equations (539,480) yields a new equation: % 13.69/3.76 | (540) e4 = e2 % 13.69/3.76 | % 13.69/3.76 | Equations (540) can reduce 239 to: % 13.69/3.76 | (304) $false % 13.69/3.76 | % 13.69/3.76 |-The branch is then unsatisfiable % 13.69/3.76 |-Branch two: % 13.69/3.76 | (542) ~ (all_0_41_41 = e2) % 13.69/3.76 | (543) all_0_46_46 = e2 | all_0_50_50 = e2 | all_0_58_58 = e2 % 13.69/3.76 | % 13.69/3.76 +-Applying beta-rule and splitting (543), into two cases. % 13.69/3.76 |-Branch one: % 13.69/3.76 | (544) all_0_46_46 = e2 % 13.69/3.76 | % 13.69/3.76 | Equations (544) can reduce 147 to: % 13.69/3.76 | (277) ~ (all_0_42_42 = e2) % 13.69/3.76 | % 13.69/3.76 | Equations (544) can reduce 255 to: % 13.69/3.76 | (288) ~ (all_0_43_43 = e2) % 13.69/3.76 | % 13.69/3.76 | Equations (544) can reduce 139 to: % 13.69/3.76 | (547) ~ (all_0_58_58 = e2) % 13.69/3.76 | % 13.69/3.76 | Simplifying 547 yields: % 13.69/3.76 | (289) ~ (all_0_58_58 = e2) % 13.69/3.76 | % 13.69/3.76 | Equations (544) can reduce 403 to: % 13.69/3.76 | (274) ~ (e4 = e2) % 13.69/3.76 | % 13.69/3.76 | Simplifying 274 yields: % 13.69/3.76 | (239) ~ (e4 = e2) % 13.69/3.76 | % 13.69/3.76 | From (544) and (148) follows: % 13.69/3.76 | (551) op(e3, e2) = all_0_34_34 % 13.69/3.76 | % 13.69/3.76 | From (544) and (102) follows: % 13.69/3.77 | (552) op(e3, e0) = e2 % 13.69/3.77 | % 13.69/3.77 +-Applying beta-rule and splitting (75), into two cases. % 13.69/3.77 |-Branch one: % 13.69/3.77 | (303) all_0_58_58 = e2 % 13.69/3.77 | % 13.69/3.77 | Equations (303) can reduce 289 to: % 13.69/3.77 | (304) $false % 13.69/3.77 | % 13.69/3.77 |-The branch is then unsatisfiable % 13.69/3.77 |-Branch two: % 13.69/3.77 | (289) ~ (all_0_58_58 = e2) % 13.69/3.77 | (306) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e0 % 13.69/3.77 | % 13.69/3.77 +-Applying beta-rule and splitting (306), into two cases. % 13.69/3.77 |-Branch one: % 13.69/3.77 | (307) all_0_58_58 = e4 % 13.69/3.77 | % 13.69/3.77 | Equations (307) can reduce 301 to: % 13.69/3.77 | (304) $false % 13.69/3.77 | % 13.69/3.77 |-The branch is then unsatisfiable % 13.69/3.77 |-Branch two: % 13.69/3.77 | (301) ~ (all_0_58_58 = e4) % 13.69/3.77 | (310) all_0_58_58 = e3 | all_0_58_58 = e0 % 13.69/3.77 | % 13.69/3.77 +-Applying beta-rule and splitting (310), into two cases. % 13.69/3.77 |-Branch one: % 13.69/3.77 | (311) all_0_58_58 = e0 % 13.69/3.77 | % 13.69/3.77 | Equations (311) can reduce 358 to: % 13.69/3.77 | (304) $false % 13.69/3.77 | % 13.69/3.77 |-The branch is then unsatisfiable % 13.69/3.77 |-Branch two: % 13.69/3.77 | (358) ~ (all_0_58_58 = e0) % 13.69/3.77 | (359) all_0_58_58 = e3 % 13.69/3.77 | % 13.69/3.77 | Equations (359) can reduce 243 to: % 13.69/3.77 | (442) ~ (all_0_56_56 = e3) % 13.69/3.77 | % 13.69/3.77 | Equations (359) can reduce 301 to: % 13.69/3.77 | (566) ~ (e4 = e3) % 13.69/3.77 | % 13.69/3.77 | Simplifying 566 yields: % 13.69/3.77 | (39) ~ (e4 = e3) % 13.69/3.77 | % 13.69/3.77 | Equations (359) can reduce 289 to: % 13.69/3.77 | (228) ~ (e3 = e2) % 13.69/3.77 | % 13.69/3.77 | Equations (359) can reduce 358 to: % 13.69/3.77 | (78) ~ (e3 = e0) % 13.69/3.77 | % 13.69/3.77 +-Applying beta-rule and splitting (8), into two cases. % 13.69/3.77 |-Branch one: % 13.69/3.77 | (570) all_0_44_44 = e3 % 13.69/3.77 | % 13.69/3.77 | Combining equations (570,337) yields a new equation: % 13.69/3.77 | (571) e3 = e0 % 13.69/3.77 | % 13.69/3.77 | Simplifying 571 yields: % 13.69/3.77 | (572) e3 = e0 % 13.69/3.77 | % 13.69/3.77 | Equations (572) can reduce 78 to: % 13.69/3.77 | (304) $false % 13.69/3.77 | % 13.69/3.77 |-The branch is then unsatisfiable % 13.69/3.77 |-Branch two: % 13.69/3.77 | (574) ~ (all_0_44_44 = e3) % 13.69/3.77 | (575) all_0_53_53 = e3 | all_0_56_56 = e3 % 13.69/3.77 | % 13.69/3.77 +-Applying beta-rule and splitting (18), into two cases. % 13.69/3.77 |-Branch one: % 13.69/3.77 | (576) all_0_39_39 = e2 % 13.69/3.77 | % 13.69/3.77 | Equations (576) can reduce 114 to: % 13.69/3.77 | (577) ~ (all_0_47_47 = e2) % 13.69/3.77 | % 13.69/3.77 | Simplifying 577 yields: % 13.69/3.77 | (578) ~ (all_0_47_47 = e2) % 13.69/3.77 | % 13.69/3.77 | Equations (576) can reduce 98 to: % 13.69/3.77 | (278) ~ (all_0_52_52 = e2) % 13.69/3.77 | % 13.69/3.77 | Simplifying 278 yields: % 13.69/3.77 | (279) ~ (all_0_52_52 = e2) % 13.69/3.77 | % 13.69/3.77 | Equations (576) can reduce 294 to: % 13.69/3.77 | (274) ~ (e4 = e2) % 13.69/3.77 | % 13.69/3.77 | Simplifying 274 yields: % 13.69/3.77 | (239) ~ (e4 = e2) % 13.69/3.77 | % 13.69/3.77 | Equations (576) can reduce 162 to: % 13.69/3.77 | (157) ~ (e2 = e1) % 13.69/3.77 | % 13.69/3.77 | Equations (576) can reduce 351 to: % 13.69/3.77 | (63) ~ (e2 = e0) % 13.69/3.77 | % 13.69/3.77 | From (576) and (91) follows: % 13.69/3.77 | (585) op(e3, e2) = all_0_7_7 % 13.69/3.77 | % 13.69/3.77 +-Applying beta-rule and splitting (260), into two cases. % 13.69/3.77 |-Branch one: % 13.69/3.77 | (586) all_0_54_54 = e2 % 13.69/3.77 | % 13.69/3.77 | Equations (586) can reduce 283 to: % 13.69/3.77 | (304) $false % 13.69/3.77 | % 13.69/3.77 |-The branch is then unsatisfiable % 13.69/3.77 |-Branch two: % 13.69/3.77 | (283) ~ (all_0_54_54 = e2) % 13.69/3.77 | (589) all_0_55_55 = e2 | all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2 % 13.69/3.77 | % 13.69/3.77 +-Applying beta-rule and splitting (589), into two cases. % 13.69/3.77 |-Branch one: % 13.69/3.77 | (590) all_0_55_55 = e2 % 13.69/3.77 | % 13.69/3.77 | Combining equations (590,362) yields a new equation: % 13.69/3.77 | (342) e2 = e0 % 13.69/3.77 | % 13.69/3.77 | Simplifying 342 yields: % 13.69/3.77 | (343) e2 = e0 % 13.69/3.77 | % 13.69/3.77 | Equations (343) can reduce 63 to: % 13.69/3.77 | (304) $false % 13.69/3.77 | % 13.69/3.77 |-The branch is then unsatisfiable % 13.69/3.77 |-Branch two: % 13.69/3.77 | (594) ~ (all_0_55_55 = e2) % 13.69/3.77 | (595) all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2 % 13.69/3.77 | % 13.69/3.77 +-Applying beta-rule and splitting (595), into two cases. % 13.69/3.77 |-Branch one: % 13.69/3.77 | (443) all_0_56_56 = e2 % 13.69/3.77 | % 13.69/3.77 | Equations (443) can reduce 273 to: % 13.69/3.77 | (304) $false % 13.69/3.77 | % 13.69/3.77 |-The branch is then unsatisfiable % 13.69/3.77 |-Branch two: % 13.69/3.77 | (273) ~ (all_0_56_56 = e2) % 13.69/3.77 | (599) all_0_57_57 = e2 | all_0_58_58 = e2 % 13.69/3.77 | % 13.69/3.77 +-Applying beta-rule and splitting (599), into two cases. % 13.69/3.77 |-Branch one: % 13.69/3.77 | (600) all_0_57_57 = e2 % 13.69/3.77 | % 13.69/3.77 | Equations (600) can reduce 220 to: % 13.69/3.77 | (601) ~ (all_0_45_45 = e2) % 13.69/3.77 | % 13.69/3.77 | Equations (600) can reduce 221 to: % 13.69/3.77 | (273) ~ (all_0_56_56 = e2) % 13.69/3.77 | % 13.69/3.77 | Equations (600) can reduce 105 to: % 13.69/3.77 | (63) ~ (e2 = e0) % 13.69/3.77 | % 13.69/3.77 +-Applying beta-rule and splitting (46), into two cases. % 13.69/3.77 |-Branch one: % 13.69/3.77 | (604) all_0_54_54 = e1 % 13.69/3.77 | % 13.69/3.77 | Equations (604) can reduce 137 to: % 13.69/3.77 | (605) ~ (all_0_42_42 = e1) % 13.69/3.77 | % 13.69/3.77 +-Applying beta-rule and splitting (9), into two cases. % 13.69/3.77 |-Branch one: % 13.69/3.77 | (606) all_0_54_54 = e4 % 13.69/3.77 | % 13.69/3.77 | Combining equations (604,606) yields a new equation: % 13.69/3.77 | (607) e4 = e1 % 13.69/3.77 | % 13.69/3.77 | Equations (607) can reduce 261 to: % 13.69/3.77 | (304) $false % 13.69/3.77 | % 13.69/3.77 |-The branch is then unsatisfiable % 13.69/3.77 |-Branch two: % 13.69/3.77 | (298) ~ (all_0_54_54 = e4) % 13.69/3.77 | (610) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 13.69/3.77 | % 13.69/3.77 +-Applying beta-rule and splitting (610), into two cases. % 13.69/3.77 |-Branch one: % 13.69/3.77 | (611) all_0_55_55 = e4 % 13.69/3.77 | % 13.69/3.77 | Combining equations (362,611) yields a new equation: % 13.69/3.77 | (319) e4 = e0 % 13.69/3.77 | % 13.69/3.77 | Equations (319) can reduce 12 to: % 13.69/3.77 | (304) $false % 13.69/3.77 | % 13.69/3.77 |-The branch is then unsatisfiable % 13.69/3.77 |-Branch two: % 13.69/3.77 | (614) ~ (all_0_55_55 = e4) % 13.69/3.77 | (615) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 13.69/3.77 | % 13.69/3.77 +-Applying beta-rule and splitting (615), into two cases. % 13.69/3.77 |-Branch one: % 13.69/3.77 | (447) all_0_56_56 = e4 % 13.69/3.77 | % 13.69/3.77 | Equations (447) can reduce 253 to: % 13.69/3.77 | (617) ~ (all_0_53_53 = e4) % 13.69/3.77 | % 13.69/3.77 | Equations (447) can reduce 273 to: % 13.69/3.77 | (239) ~ (e4 = e2) % 13.69/3.77 | % 13.69/3.77 +-Applying beta-rule and splitting (96), into two cases. % 13.69/3.77 |-Branch one: % 13.69/3.77 | (619) all_0_53_53 = e2 % 13.69/3.77 | % 13.69/3.77 | Equations (619) can reduce 271 to: % 13.69/3.77 | (304) $false % 13.69/3.77 | % 13.69/3.77 |-The branch is then unsatisfiable % 13.69/3.77 |-Branch two: % 13.69/3.77 | (271) ~ (all_0_53_53 = e2) % 13.69/3.77 | (622) all_0_53_53 = e4 | all_0_53_53 = e3 % 13.69/3.77 | % 13.69/3.77 +-Applying beta-rule and splitting (622), into two cases. % 13.69/3.77 |-Branch one: % 13.69/3.77 | (623) all_0_53_53 = e4 % 13.69/3.77 | % 13.69/3.77 | Equations (623) can reduce 617 to: % 13.69/3.77 | (304) $false % 13.69/3.77 | % 13.69/3.77 |-The branch is then unsatisfiable % 13.69/3.77 |-Branch two: % 13.69/3.77 | (617) ~ (all_0_53_53 = e4) % 13.69/3.77 | (440) all_0_53_53 = e3 % 13.69/3.77 | % 13.69/3.77 +-Applying beta-rule and splitting (29), into two cases. % 13.69/3.77 |-Branch one: % 13.69/3.77 | (627) all_0_51_51 = e4 % 13.69/3.77 | % 13.69/3.77 | Combining equations (276,627) yields a new equation: % 13.69/3.77 | (540) e4 = e2 % 13.69/3.77 | % 13.69/3.77 | Equations (540) can reduce 239 to: % 13.69/3.77 | (304) $false % 13.69/3.77 | % 13.69/3.77 |-The branch is then unsatisfiable % 13.69/3.77 |-Branch two: % 13.69/3.77 | (630) ~ (all_0_51_51 = e4) % 13.69/3.77 | (631) all_0_52_52 = e4 | all_0_53_53 = e4 % 13.69/3.77 | % 13.69/3.77 +-Applying beta-rule and splitting (144), into two cases. % 13.69/3.77 |-Branch one: % 13.69/3.77 | (632) all_0_42_42 = e2 % 13.69/3.77 | % 13.69/3.77 | Equations (632) can reduce 277 to: % 13.69/3.77 | (304) $false % 13.69/3.77 | % 13.69/3.77 |-The branch is then unsatisfiable % 13.69/3.77 |-Branch two: % 13.69/3.77 | (277) ~ (all_0_42_42 = e2) % 13.69/3.77 | (635) all_0_42_42 = e4 | all_0_42_42 = e1 | all_0_42_42 = e0 % 13.69/3.77 | % 13.69/3.77 +-Applying beta-rule and splitting (635), into two cases. % 13.69/3.77 |-Branch one: % 13.69/3.77 | (415) all_0_42_42 = e4 % 13.69/3.77 | % 13.69/3.77 | Equations (415) can reduce 92 to: % 13.69/3.77 | (637) ~ (all_0_45_45 = e4) % 13.69/3.77 | % 13.69/3.77 | Simplifying 637 yields: % 13.69/3.77 | (464) ~ (all_0_45_45 = e4) % 13.69/3.77 | % 13.69/3.77 | Equations (415) can reduce 203 to: % 13.69/3.77 | (39) ~ (e4 = e3) % 13.69/3.77 | % 13.69/3.77 | From (415) and (142) follows: % 13.69/3.77 | (640) op(e3, e4) = all_0_2_2 % 13.69/3.77 | % 13.69/3.77 | From (415) and (212) follows: % 13.69/3.77 | (641) op(e3, e4) = e4 % 13.69/3.77 | % 13.69/3.77 +-Applying beta-rule and splitting (631), into two cases. % 13.69/3.77 |-Branch one: % 13.69/3.77 | (642) all_0_52_52 = e4 % 13.69/3.77 | % 13.69/3.77 | Equations (642) can reduce 279 to: % 13.69/3.77 | (239) ~ (e4 = e2) % 13.69/3.77 | % 13.69/3.77 | Equations (642) can reduce 68 to: % 13.69/3.77 | (261) ~ (e4 = e1) % 13.69/3.77 | % 13.69/3.77 | From (642) and (214) follows: % 13.69/3.77 | (645) op(e3, e4) = all_0_12_12 % 13.69/3.77 | % 13.69/3.77 +-Applying beta-rule and splitting (57), into two cases. % 13.69/3.77 |-Branch one: % 13.69/3.77 | (646) all_0_40_40 = e4 % 13.69/3.77 | % 13.69/3.77 | Equations (646) can reduce 484 to: % 13.69/3.77 | (304) $false % 13.69/3.77 | % 13.69/3.77 |-The branch is then unsatisfiable % 13.69/3.77 |-Branch two: % 13.69/3.77 | (484) ~ (all_0_40_40 = e4) % 13.69/3.77 | (649) all_0_45_45 = e4 | all_0_49_49 = e4 | all_0_57_57 = e4 % 13.69/3.77 | % 13.69/3.77 +-Applying beta-rule and splitting (649), into two cases. % 13.69/3.77 |-Branch one: % 13.69/3.77 | (424) all_0_45_45 = e4 % 13.69/3.77 | % 13.69/3.77 | Equations (424) can reduce 464 to: % 13.69/3.77 | (304) $false % 13.69/3.77 | % 13.69/3.77 |-The branch is then unsatisfiable % 13.69/3.77 |-Branch two: % 13.69/3.77 | (464) ~ (all_0_45_45 = e4) % 13.69/3.77 | (653) all_0_49_49 = e4 | all_0_57_57 = e4 % 13.69/3.77 | % 13.69/3.77 +-Applying beta-rule and splitting (653), into two cases. % 13.69/3.77 |-Branch one: % 13.69/3.77 | (654) all_0_49_49 = e4 % 13.69/3.77 | % 13.69/3.77 | Equations (654) can reduce 100 to: % 13.69/3.77 | (464) ~ (all_0_45_45 = e4) % 13.69/3.77 | % 13.69/3.77 | Equations (654) can reduce 191 to: % 13.69/3.77 | (656) ~ (all_0_47_47 = e4) % 13.69/3.77 | % 13.69/3.77 | Equations (654) can reduce 86 to: % 13.69/3.77 | (12) ~ (e4 = e0) % 13.69/3.77 | % 13.69/3.77 +-Applying beta-rule and splitting (140), into two cases. % 13.69/3.77 |-Branch one: % 13.69/3.77 | (658) all_0_47_47 = e1 % 13.69/3.77 | % 13.69/3.77 | Equations (658) can reduce 656 to: % 13.69/3.77 | (659) ~ (e4 = e1) % 13.69/3.77 | % 13.69/3.77 | Simplifying 659 yields: % 13.69/3.77 | (261) ~ (e4 = e1) % 13.69/3.77 | % 13.69/3.77 | Equations (658) can reduce 578 to: % 13.69/3.77 | (661) ~ (e2 = e1) % 13.69/3.77 | % 13.69/3.77 | Simplifying 661 yields: % 13.69/3.77 | (157) ~ (e2 = e1) % 13.69/3.77 | % 13.69/3.77 | From (658) and (175) follows: % 13.69/3.77 | (663) op(e3, e1) = all_0_10_10 % 13.69/3.77 | % 13.69/3.77 +-Applying beta-rule and splitting (109), into two cases. % 13.69/3.77 |-Branch one: % 13.69/3.77 | (664) all_0_45_45 = e1 % 13.69/3.77 | % 13.69/3.77 | Equations (664) can reduce 464 to: % 13.69/3.77 | (659) ~ (e4 = e1) % 13.69/3.77 | % 13.69/3.77 | Simplifying 659 yields: % 13.69/3.77 | (261) ~ (e4 = e1) % 13.69/3.77 | % 13.69/3.77 | Equations (664) can reduce 601 to: % 13.69/3.77 | (661) ~ (e2 = e1) % 13.69/3.77 | % 13.69/3.77 | Simplifying 661 yields: % 13.69/3.77 | (157) ~ (e2 = e1) % 13.69/3.77 | % 13.69/3.77 | From (664) and (113) follows: % 13.69/3.77 | (669) op(e3, e1) = e1 % 13.69/3.78 | % 13.69/3.78 | Instantiating formula (180) with e3, e4, all_0_12_12, all_0_2_2 and discharging atoms op(e3, e4) = all_0_2_2, op(e3, e4) = all_0_12_12, yields: % 13.69/3.78 | (670) all_0_2_2 = all_0_12_12 % 13.69/3.78 | % 13.69/3.78 | Instantiating formula (180) with e3, e4, e4, all_0_2_2 and discharging atoms op(e3, e4) = all_0_2_2, op(e3, e4) = e4, yields: % 13.69/3.78 | (671) all_0_2_2 = e4 % 13.69/3.78 | % 13.69/3.78 | Instantiating formula (180) with e3, e2, all_0_34_34, all_0_7_7 and discharging atoms op(e3, e2) = all_0_7_7, op(e3, e2) = all_0_34_34, yields: % 13.69/3.78 | (672) all_0_7_7 = all_0_34_34 % 13.69/3.78 | % 13.69/3.78 | Instantiating formula (180) with e3, e2, e0, all_0_7_7 and discharging atoms op(e3, e2) = all_0_7_7, op(e3, e2) = e0, yields: % 13.69/3.78 | (673) all_0_7_7 = e0 % 13.69/3.78 | % 13.69/3.78 | Instantiating formula (180) with e3, e1, e1, all_0_10_10 and discharging atoms op(e3, e1) = all_0_10_10, op(e3, e1) = e1, yields: % 13.69/3.78 | (674) all_0_10_10 = e1 % 13.69/3.78 | % 13.69/3.78 | Instantiating formula (180) with e3, e0, all_0_17_17, all_0_14_14 and discharging atoms op(e3, e0) = all_0_14_14, op(e3, e0) = all_0_17_17, yields: % 13.69/3.78 | (675) all_0_14_14 = all_0_17_17 % 13.69/3.78 | % 13.69/3.78 | Instantiating formula (180) with e3, e0, e2, all_0_14_14 and discharging atoms op(e3, e0) = all_0_14_14, op(e3, e0) = e2, yields: % 13.69/3.78 | (676) all_0_14_14 = e2 % 13.69/3.78 | % 13.69/3.78 | Combining equations (670,671) yields a new equation: % 13.69/3.78 | (677) all_0_12_12 = e4 % 13.69/3.78 | % 13.69/3.78 | Simplifying 677 yields: % 13.69/3.78 | (678) all_0_12_12 = e4 % 13.69/3.78 | % 13.69/3.78 | Combining equations (673,672) yields a new equation: % 13.69/3.78 | (679) all_0_34_34 = e0 % 13.69/3.78 | % 13.69/3.78 | Combining equations (676,675) yields a new equation: % 13.69/3.78 | (680) all_0_17_17 = e2 % 13.69/3.78 | % 13.69/3.78 | Combining equations (680,675) yields a new equation: % 13.69/3.78 | (676) all_0_14_14 = e2 % 13.69/3.78 | % 13.69/3.78 | Combining equations (679,672) yields a new equation: % 13.69/3.78 | (673) all_0_7_7 = e0 % 13.69/3.78 | % 14.04/3.78 +-Applying beta-rule and splitting (56), into two cases. % 14.04/3.78 |-Branch one: % 14.04/3.78 | (683) (all_0_7_7 = e4 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e2 & ~ (all_0_11_11 = e3)) | (all_0_12_12 = e1 & ~ (all_0_13_13 = e3)) % 14.04/3.78 | % 14.04/3.78 +-Applying beta-rule and splitting (683), into two cases. % 14.04/3.78 |-Branch one: % 14.04/3.78 | (684) (all_0_7_7 = e4 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e2 & ~ (all_0_11_11 = e3)) % 14.04/3.78 | % 14.04/3.78 +-Applying beta-rule and splitting (684), into two cases. % 14.04/3.78 |-Branch one: % 14.04/3.78 | (685) all_0_7_7 = e4 & ~ (all_0_8_8 = e3) % 14.04/3.78 | % 14.04/3.78 | Applying alpha-rule on (685) yields: % 14.04/3.78 | (686) all_0_7_7 = e4 % 14.04/3.78 | (687) ~ (all_0_8_8 = e3) % 14.04/3.78 | % 14.04/3.78 | Combining equations (686,673) yields a new equation: % 14.04/3.78 | (318) e4 = e0 % 14.04/3.78 | % 14.04/3.78 | Simplifying 318 yields: % 14.04/3.78 | (319) e4 = e0 % 14.04/3.78 | % 14.04/3.78 | Equations (319) can reduce 12 to: % 14.04/3.78 | (304) $false % 14.04/3.78 | % 14.04/3.78 |-The branch is then unsatisfiable % 14.04/3.78 |-Branch two: % 14.04/3.78 | (691) all_0_10_10 = e2 & ~ (all_0_11_11 = e3) % 14.04/3.78 | % 14.04/3.78 | Applying alpha-rule on (691) yields: % 14.04/3.78 | (692) all_0_10_10 = e2 % 14.04/3.78 | (693) ~ (all_0_11_11 = e3) % 14.04/3.78 | % 14.04/3.78 | Combining equations (692,674) yields a new equation: % 14.04/3.78 | (694) e2 = e1 % 14.04/3.78 | % 14.04/3.78 | Simplifying 694 yields: % 14.04/3.78 | (695) e2 = e1 % 14.04/3.78 | % 14.04/3.78 | Equations (695) can reduce 157 to: % 14.04/3.78 | (304) $false % 14.04/3.78 | % 14.04/3.78 |-The branch is then unsatisfiable % 14.04/3.78 |-Branch two: % 14.04/3.78 | (697) all_0_12_12 = e1 & ~ (all_0_13_13 = e3) % 14.04/3.78 | % 14.04/3.78 | Applying alpha-rule on (697) yields: % 14.04/3.78 | (698) all_0_12_12 = e1 % 14.04/3.78 | (699) ~ (all_0_13_13 = e3) % 14.04/3.78 | % 14.04/3.78 | Combining equations (698,678) yields a new equation: % 14.04/3.78 | (607) e4 = e1 % 14.04/3.78 | % 14.04/3.78 | Equations (607) can reduce 261 to: % 14.04/3.78 | (304) $false % 14.04/3.78 | % 14.04/3.78 |-The branch is then unsatisfiable % 14.04/3.78 |-Branch two: % 14.04/3.78 | (702) all_0_14_14 = e0 & ~ (all_0_15_15 = e3) % 14.04/3.78 | % 14.04/3.78 | Applying alpha-rule on (702) yields: % 14.04/3.78 | (703) all_0_14_14 = e0 % 14.04/3.78 | (704) ~ (all_0_15_15 = e3) % 14.04/3.78 | % 14.04/3.78 | Combining equations (703,676) yields a new equation: % 14.04/3.78 | (343) e2 = e0 % 14.04/3.78 | % 14.04/3.78 | Equations (343) can reduce 63 to: % 14.04/3.78 | (304) $false % 14.04/3.78 | % 14.04/3.78 |-The branch is then unsatisfiable % 14.04/3.78 |-Branch two: % 14.04/3.78 | (707) ~ (all_0_45_45 = e1) % 14.04/3.78 | (708) all_0_49_49 = e1 | all_0_57_57 = e1 % 14.04/3.78 | % 14.04/3.78 +-Applying beta-rule and splitting (708), into two cases. % 14.04/3.78 |-Branch one: % 14.04/3.78 | (709) all_0_49_49 = e1 % 14.04/3.78 | % 14.04/3.78 | Combining equations (654,709) yields a new equation: % 14.04/3.78 | (710) e4 = e1 % 14.04/3.78 | % 14.04/3.78 | Simplifying 710 yields: % 14.04/3.78 | (607) e4 = e1 % 14.04/3.78 | % 14.04/3.78 | Equations (607) can reduce 261 to: % 14.04/3.78 | (304) $false % 14.04/3.78 | % 14.04/3.78 |-The branch is then unsatisfiable % 14.04/3.78 |-Branch two: % 14.04/3.78 | (713) ~ (all_0_49_49 = e1) % 14.04/3.78 | (714) all_0_57_57 = e1 % 14.04/3.78 | % 14.04/3.78 | Combining equations (714,600) yields a new equation: % 14.04/3.78 | (695) e2 = e1 % 14.04/3.78 | % 14.04/3.78 | Equations (695) can reduce 157 to: % 14.04/3.78 | (304) $false % 14.04/3.78 | % 14.04/3.78 |-The branch is then unsatisfiable % 14.04/3.78 |-Branch two: % 14.04/3.78 | (717) ~ (all_0_47_47 = e1) % 14.04/3.78 | (709) all_0_49_49 = e1 % 14.04/3.78 | % 14.04/3.78 | Combining equations (654,709) yields a new equation: % 14.04/3.78 | (710) e4 = e1 % 14.04/3.78 | % 14.04/3.78 | Simplifying 710 yields: % 14.04/3.78 | (607) e4 = e1 % 14.04/3.78 | % 14.04/3.78 | Equations (607) can reduce 261 to: % 14.04/3.78 | (304) $false % 14.04/3.78 | % 14.04/3.78 |-The branch is then unsatisfiable % 14.04/3.78 |-Branch two: % 14.04/3.78 | (722) ~ (all_0_49_49 = e4) % 14.04/3.78 | (723) all_0_57_57 = e4 % 14.04/3.78 | % 14.04/3.78 | Combining equations (723,600) yields a new equation: % 14.04/3.78 | (724) e4 = e2 % 14.04/3.78 | % 14.04/3.78 | Simplifying 724 yields: % 14.04/3.78 | (540) e4 = e2 % 14.04/3.78 | % 14.04/3.78 | Equations (540) can reduce 239 to: % 14.04/3.78 | (304) $false % 14.04/3.78 | % 14.04/3.78 |-The branch is then unsatisfiable % 14.04/3.78 |-Branch two: % 14.04/3.78 | (727) ~ (all_0_52_52 = e4) % 14.04/3.78 | (623) all_0_53_53 = e4 % 14.04/3.78 | % 14.04/3.78 | Combining equations (440,623) yields a new equation: % 14.04/3.78 | (462) e4 = e3 % 14.04/3.78 | % 14.04/3.78 | Equations (462) can reduce 39 to: % 14.04/3.78 | (304) $false % 14.04/3.78 | % 14.04/3.78 |-The branch is then unsatisfiable % 14.04/3.78 |-Branch two: % 14.04/3.78 | (296) ~ (all_0_42_42 = e4) % 14.04/3.78 | (732) all_0_42_42 = e1 | all_0_42_42 = e0 % 14.04/3.78 | % 14.04/3.78 +-Applying beta-rule and splitting (732), into two cases. % 14.04/3.78 |-Branch one: % 14.04/3.78 | (332) all_0_42_42 = e0 % 14.04/3.78 | % 14.04/3.78 | Equations (332) can reduce 348 to: % 14.04/3.78 | (304) $false % 14.04/3.78 | % 14.04/3.78 |-The branch is then unsatisfiable % 14.04/3.78 |-Branch two: % 14.04/3.78 | (348) ~ (all_0_42_42 = e0) % 14.04/3.78 | (736) all_0_42_42 = e1 % 14.04/3.78 | % 14.04/3.78 | Equations (736) can reduce 605 to: % 14.04/3.78 | (304) $false % 14.04/3.78 | % 14.04/3.78 |-The branch is then unsatisfiable % 14.04/3.78 |-Branch two: % 14.04/3.78 | (410) ~ (all_0_56_56 = e4) % 14.04/3.78 | (739) all_0_57_57 = e4 | all_0_58_58 = e4 % 14.04/3.78 | % 14.04/3.78 +-Applying beta-rule and splitting (739), into two cases. % 14.04/3.78 |-Branch one: % 14.04/3.78 | (723) all_0_57_57 = e4 % 14.04/3.78 | % 14.04/3.78 | Combining equations (600,723) yields a new equation: % 14.04/3.78 | (540) e4 = e2 % 14.04/3.78 | % 14.04/3.78 | Equations (540) can reduce 239 to: % 14.04/3.78 | (304) $false % 14.04/3.78 | % 14.04/3.78 |-The branch is then unsatisfiable % 14.04/3.78 |-Branch two: % 14.04/3.78 | (743) ~ (all_0_57_57 = e4) % 14.04/3.78 | (307) all_0_58_58 = e4 % 14.04/3.78 | % 14.04/3.78 | Combining equations (359,307) yields a new equation: % 14.04/3.78 | (462) e4 = e3 % 14.04/3.78 | % 14.04/3.78 | Equations (462) can reduce 39 to: % 14.04/3.78 | (304) $false % 14.04/3.78 | % 14.04/3.78 |-The branch is then unsatisfiable % 14.04/3.78 |-Branch two: % 14.04/3.78 | (747) ~ (all_0_54_54 = e1) % 14.04/3.78 | (748) all_0_55_55 = e1 | all_0_57_57 = e1 % 14.04/3.78 | % 14.04/3.78 +-Applying beta-rule and splitting (748), into two cases. % 14.04/3.78 |-Branch one: % 14.04/3.78 | (749) all_0_55_55 = e1 % 14.04/3.78 | % 14.04/3.78 | Combining equations (362,749) yields a new equation: % 14.04/3.78 | (750) e1 = e0 % 14.04/3.78 | % 14.04/3.78 | Equations (750) can reduce 150 to: % 14.04/3.78 | (304) $false % 14.04/3.78 | % 14.04/3.78 |-The branch is then unsatisfiable % 14.04/3.78 |-Branch two: % 14.04/3.78 | (752) ~ (all_0_55_55 = e1) % 14.04/3.78 | (714) all_0_57_57 = e1 % 14.04/3.78 | % 14.04/3.78 | Combining equations (600,714) yields a new equation: % 14.04/3.78 | (694) e2 = e1 % 14.04/3.78 | % 14.04/3.78 | Simplifying 694 yields: % 14.04/3.78 | (695) e2 = e1 % 14.04/3.78 | % 14.04/3.78 | Equations (695) can reduce 157 to: % 14.04/3.78 | (304) $false % 14.04/3.78 | % 14.04/3.78 |-The branch is then unsatisfiable % 14.04/3.78 |-Branch two: % 14.04/3.78 | (757) ~ (all_0_57_57 = e2) % 14.04/3.78 | (303) all_0_58_58 = e2 % 14.04/3.78 | % 14.04/3.78 | Combining equations (359,303) yields a new equation: % 14.04/3.78 | (759) e3 = e2 % 14.04/3.78 | % 14.04/3.78 | Simplifying 759 yields: % 14.04/3.78 | (760) e3 = e2 % 14.04/3.78 | % 14.04/3.78 | Equations (760) can reduce 228 to: % 14.04/3.78 | (304) $false % 14.04/3.78 | % 14.04/3.78 |-The branch is then unsatisfiable % 14.04/3.78 |-Branch two: % 14.04/3.78 | (762) ~ (all_0_39_39 = e2) % 14.04/3.78 | (763) all_0_43_43 = e2 | all_0_47_47 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2 % 14.04/3.78 | % 14.04/3.78 +-Applying beta-rule and splitting (216), into two cases. % 14.04/3.78 |-Branch one: % 14.04/3.78 | (576) all_0_39_39 = e2 % 14.04/3.78 | % 14.04/3.78 | Equations (576) can reduce 762 to: % 14.04/3.78 | (304) $false % 14.04/3.78 | % 14.04/3.78 |-The branch is then unsatisfiable % 14.04/3.78 |-Branch two: % 14.04/3.78 | (762) ~ (all_0_39_39 = e2) % 14.04/3.78 | (767) all_0_40_40 = e2 | all_0_41_41 = e2 % 14.04/3.78 | % 14.04/3.78 +-Applying beta-rule and splitting (575), into two cases. % 14.04/3.78 |-Branch one: % 14.04/3.78 | (440) all_0_53_53 = e3 % 14.04/3.78 | % 14.04/3.78 | Equations (440) can reduce 52 to: % 14.04/3.78 | (436) ~ (all_0_52_52 = e3) % 14.04/3.78 | % 14.04/3.78 +-Applying beta-rule and splitting (767), into two cases. % 14.04/3.78 |-Branch one: % 14.04/3.78 | (770) all_0_40_40 = e2 % 14.04/3.78 | % 14.04/3.78 | Equations (770) can reduce 16 to: % 14.04/3.78 | (762) ~ (all_0_39_39 = e2) % 14.04/3.78 | % 14.04/3.78 +-Applying beta-rule and splitting (181), into two cases. % 14.04/3.78 |-Branch one: % 14.04/3.78 | (772) all_0_52_52 = e2 % 14.04/3.78 | % 14.04/3.78 | Equations (772) can reduce 279 to: % 14.04/3.78 | (304) $false % 14.04/3.78 | % 14.04/3.78 |-The branch is then unsatisfiable % 14.04/3.78 |-Branch two: % 14.04/3.78 | (279) ~ (all_0_52_52 = e2) % 14.04/3.78 | (775) all_0_52_52 = e4 | all_0_52_52 = e3 % 14.04/3.78 | % 14.04/3.78 +-Applying beta-rule and splitting (775), into two cases. % 14.04/3.78 |-Branch one: % 14.04/3.78 | (642) all_0_52_52 = e4 % 14.04/3.78 | % 14.04/3.78 | Equations (642) can reduce 98 to: % 14.04/3.78 | (294) ~ (all_0_39_39 = e4) % 14.04/3.78 | % 14.04/3.78 | Equations (642) can reduce 101 to: % 14.04/3.78 | (656) ~ (all_0_47_47 = e4) % 14.04/3.78 | % 14.04/3.78 | Equations (642) can reduce 68 to: % 14.04/3.78 | (261) ~ (e4 = e1) % 14.04/3.78 | % 14.04/3.78 | Equations (642) can reduce 186 to: % 14.04/3.78 | (12) ~ (e4 = e0) % 14.04/3.78 | % 14.04/3.79 +-Applying beta-rule and splitting (219), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (781) all_0_47_47 = e4 % 14.04/3.79 | % 14.04/3.79 | Equations (781) can reduce 656 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (656) ~ (all_0_47_47 = e4) % 14.04/3.79 | (784) all_0_49_49 = e4 | all_0_50_50 = e4 % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (784), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (654) all_0_49_49 = e4 % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (28), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (786) all_0_39_39 = e3 % 14.04/3.79 | % 14.04/3.79 | Equations (786) can reduce 153 to: % 14.04/3.79 | (787) ~ (all_0_43_43 = e3) % 14.04/3.79 | % 14.04/3.79 | Simplifying 787 yields: % 14.04/3.79 | (456) ~ (all_0_43_43 = e3) % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (140), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (658) all_0_47_47 = e1 % 14.04/3.79 | % 14.04/3.79 | Equations (658) can reduce 198 to: % 14.04/3.79 | (425) ~ (all_0_43_43 = e1) % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (95), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (426) all_0_43_43 = e2 % 14.04/3.79 | % 14.04/3.79 | Equations (426) can reduce 288 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (288) ~ (all_0_43_43 = e2) % 14.04/3.79 | (429) all_0_43_43 = e3 | all_0_43_43 = e1 | all_0_43_43 = e0 % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (429), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (430) all_0_43_43 = e0 % 14.04/3.79 | % 14.04/3.79 | Equations (430) can reduce 290 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (290) ~ (all_0_43_43 = e0) % 14.04/3.79 | (433) all_0_43_43 = e3 | all_0_43_43 = e1 % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (433), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (434) all_0_43_43 = e3 % 14.04/3.79 | % 14.04/3.79 | Equations (434) can reduce 456 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (456) ~ (all_0_43_43 = e3) % 14.04/3.79 | (457) all_0_43_43 = e1 % 14.04/3.79 | % 14.04/3.79 | Equations (457) can reduce 425 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (717) ~ (all_0_47_47 = e1) % 14.04/3.79 | (709) all_0_49_49 = e1 % 14.04/3.79 | % 14.04/3.79 | Combining equations (654,709) yields a new equation: % 14.04/3.79 | (710) e4 = e1 % 14.04/3.79 | % 14.04/3.79 | Simplifying 710 yields: % 14.04/3.79 | (607) e4 = e1 % 14.04/3.79 | % 14.04/3.79 | Equations (607) can reduce 261 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (809) ~ (all_0_39_39 = e3) % 14.04/3.79 | (810) all_0_40_40 = e3 | all_0_41_41 = e3 % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (11), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (576) all_0_39_39 = e2 % 14.04/3.79 | % 14.04/3.79 | Equations (576) can reduce 762 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (762) ~ (all_0_39_39 = e2) % 14.04/3.79 | (814) all_0_39_39 = e4 | all_0_39_39 = e3 | all_0_39_39 = e0 % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (814), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (815) all_0_39_39 = e4 % 14.04/3.79 | % 14.04/3.79 | Equations (815) can reduce 294 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (294) ~ (all_0_39_39 = e4) % 14.04/3.79 | (818) all_0_39_39 = e3 | all_0_39_39 = e0 % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (818), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (323) all_0_39_39 = e0 % 14.04/3.79 | % 14.04/3.79 | Equations (323) can reduce 351 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (351) ~ (all_0_39_39 = e0) % 14.04/3.79 | (786) all_0_39_39 = e3 % 14.04/3.79 | % 14.04/3.79 | Equations (786) can reduce 809 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (722) ~ (all_0_49_49 = e4) % 14.04/3.79 | (496) all_0_50_50 = e4 % 14.04/3.79 | % 14.04/3.79 | Combining equations (496,379) yields a new equation: % 14.04/3.79 | (318) e4 = e0 % 14.04/3.79 | % 14.04/3.79 | Simplifying 318 yields: % 14.04/3.79 | (319) e4 = e0 % 14.04/3.79 | % 14.04/3.79 | Equations (319) can reduce 12 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (727) ~ (all_0_52_52 = e4) % 14.04/3.79 | (437) all_0_52_52 = e3 % 14.04/3.79 | % 14.04/3.79 | Equations (437) can reduce 436 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (832) ~ (all_0_40_40 = e2) % 14.04/3.79 | (539) all_0_41_41 = e2 % 14.04/3.79 | % 14.04/3.79 | Combining equations (539,480) yields a new equation: % 14.04/3.79 | (540) e4 = e2 % 14.04/3.79 | % 14.04/3.79 | Equations (540) can reduce 239 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (836) ~ (all_0_53_53 = e3) % 14.04/3.79 | (454) all_0_56_56 = e3 % 14.04/3.79 | % 14.04/3.79 | Equations (454) can reduce 442 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (839) ~ (all_0_46_46 = e2) % 14.04/3.79 | (840) all_0_50_50 = e2 | all_0_58_58 = e2 % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (75), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (303) all_0_58_58 = e2 % 14.04/3.79 | % 14.04/3.79 | Equations (303) can reduce 289 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (289) ~ (all_0_58_58 = e2) % 14.04/3.79 | (306) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e0 % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (62), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (632) all_0_42_42 = e2 % 14.04/3.79 | % 14.04/3.79 | Equations (632) can reduce 277 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (277) ~ (all_0_42_42 = e2) % 14.04/3.79 | (848) all_0_43_43 = e2 | all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2 % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (848), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (426) all_0_43_43 = e2 % 14.04/3.79 | % 14.04/3.79 | Equations (426) can reduce 288 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (288) ~ (all_0_43_43 = e2) % 14.04/3.79 | (852) all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2 % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (852), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (853) all_0_44_44 = e2 % 14.04/3.79 | % 14.04/3.79 | Combining equations (337,853) yields a new equation: % 14.04/3.79 | (343) e2 = e0 % 14.04/3.79 | % 14.04/3.79 | Equations (343) can reduce 63 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (265) ~ (all_0_44_44 = e2) % 14.04/3.79 | (857) all_0_45_45 = e2 | all_0_46_46 = e2 % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (857), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (858) all_0_45_45 = e2 % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (158), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (425) ~ (all_0_43_43 = e1) % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (227), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (736) all_0_42_42 = e1 % 14.04/3.79 | % 14.04/3.79 | Equations (736) can reduce 137 to: % 14.04/3.79 | (861) ~ (all_0_54_54 = e1) % 14.04/3.79 | % 14.04/3.79 | Simplifying 861 yields: % 14.04/3.79 | (747) ~ (all_0_54_54 = e1) % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (306), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (307) all_0_58_58 = e4 % 14.04/3.79 | % 14.04/3.79 | Equations (307) can reduce 301 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (301) ~ (all_0_58_58 = e4) % 14.04/3.79 | (310) all_0_58_58 = e3 | all_0_58_58 = e0 % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (310), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (311) all_0_58_58 = e0 % 14.04/3.79 | % 14.04/3.79 | Equations (311) can reduce 358 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (358) ~ (all_0_58_58 = e0) % 14.04/3.79 | (359) all_0_58_58 = e3 % 14.04/3.79 | % 14.04/3.79 | Equations (359) can reduce 243 to: % 14.04/3.79 | (442) ~ (all_0_56_56 = e3) % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (199), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (443) all_0_56_56 = e2 % 14.04/3.79 | % 14.04/3.79 | Equations (443) can reduce 273 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (273) ~ (all_0_56_56 = e2) % 14.04/3.79 | (446) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0 % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (446), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (447) all_0_56_56 = e4 % 14.04/3.79 | % 14.04/3.79 | Equations (447) can reduce 200 to: % 14.04/3.79 | (298) ~ (all_0_54_54 = e4) % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (176), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (586) all_0_54_54 = e2 % 14.04/3.79 | % 14.04/3.79 | Equations (586) can reduce 283 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (283) ~ (all_0_54_54 = e2) % 14.04/3.79 | (881) all_0_54_54 = e4 | all_0_54_54 = e1 | all_0_54_54 = e0 % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (881), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (606) all_0_54_54 = e4 % 14.04/3.79 | % 14.04/3.79 | Equations (606) can reduce 298 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (298) ~ (all_0_54_54 = e4) % 14.04/3.79 | (885) all_0_54_54 = e1 | all_0_54_54 = e0 % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (885), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (349) all_0_54_54 = e0 % 14.04/3.79 | % 14.04/3.79 | Equations (349) can reduce 313 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (313) ~ (all_0_54_54 = e0) % 14.04/3.79 | (604) all_0_54_54 = e1 % 14.04/3.79 | % 14.04/3.79 | Equations (604) can reduce 747 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (410) ~ (all_0_56_56 = e4) % 14.04/3.79 | (450) all_0_56_56 = e3 | all_0_56_56 = e0 % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (450), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (346) all_0_56_56 = e0 % 14.04/3.79 | % 14.04/3.79 | Equations (346) can reduce 314 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (314) ~ (all_0_56_56 = e0) % 14.04/3.79 | (454) all_0_56_56 = e3 % 14.04/3.79 | % 14.04/3.79 | Equations (454) can reduce 442 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (605) ~ (all_0_42_42 = e1) % 14.04/3.79 | (899) all_0_43_43 = e1 | all_0_45_45 = e1 % 14.04/3.79 | % 14.04/3.79 +-Applying beta-rule and splitting (899), into two cases. % 14.04/3.79 |-Branch one: % 14.04/3.79 | (457) all_0_43_43 = e1 % 14.04/3.79 | % 14.04/3.79 | Equations (457) can reduce 425 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (425) ~ (all_0_43_43 = e1) % 14.04/3.79 | (664) all_0_45_45 = e1 % 14.04/3.79 | % 14.04/3.79 | Combining equations (858,664) yields a new equation: % 14.04/3.79 | (694) e2 = e1 % 14.04/3.79 | % 14.04/3.79 | Simplifying 694 yields: % 14.04/3.79 | (695) e2 = e1 % 14.04/3.79 | % 14.04/3.79 | Equations (695) can reduce 157 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (457) all_0_43_43 = e1 % 14.04/3.79 | (460) all_0_45_45 = e3 % 14.04/3.79 | % 14.04/3.79 | Combining equations (858,460) yields a new equation: % 14.04/3.79 | (760) e3 = e2 % 14.04/3.79 | % 14.04/3.79 | Equations (760) can reduce 228 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (601) ~ (all_0_45_45 = e2) % 14.04/3.79 | (544) all_0_46_46 = e2 % 14.04/3.79 | % 14.04/3.79 | Equations (544) can reduce 839 to: % 14.04/3.79 | (304) $false % 14.04/3.79 | % 14.04/3.79 |-The branch is then unsatisfiable % 14.04/3.79 |-Branch two: % 14.04/3.79 | (334) ~ (all_0_44_44 = e0) % 14.04/3.79 | (340) all_0_48_48 = e0 | all_0_56_56 = e0 % 14.04/3.79 | % 14.04/3.80 +-Applying beta-rule and splitting (340), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (341) all_0_48_48 = e0 % 14.04/3.80 | % 14.04/3.80 | Combining equations (264,341) yields a new equation: % 14.04/3.80 | (342) e2 = e0 % 14.04/3.80 | % 14.04/3.80 | Simplifying 342 yields: % 14.04/3.80 | (343) e2 = e0 % 14.04/3.80 | % 14.04/3.80 | Equations (343) can reduce 63 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (263) ~ (all_0_48_48 = e0) % 14.04/3.80 | (346) all_0_56_56 = e0 % 14.04/3.80 | % 14.04/3.80 | Equations (346) can reduce 314 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (430) all_0_43_43 = e0 % 14.04/3.80 | (924) all_0_46_46 = e3 % 14.04/3.80 | % 14.04/3.80 | Equations (430) can reduce 173 to: % 14.04/3.80 | (333) ~ (all_0_44_44 = e0) % 14.04/3.80 | % 14.04/3.80 | Simplifying 333 yields: % 14.04/3.80 | (334) ~ (all_0_44_44 = e0) % 14.04/3.80 | % 14.04/3.80 | Equations (430) can reduce 198 to: % 14.04/3.80 | (927) ~ (all_0_47_47 = e0) % 14.04/3.80 | % 14.04/3.80 | Simplifying 927 yields: % 14.04/3.80 | (364) ~ (all_0_47_47 = e0) % 14.04/3.80 | % 14.04/3.80 | Equations (430) can reduce 64 to: % 14.04/3.80 | (929) ~ (all_0_55_55 = e0) % 14.04/3.80 | % 14.04/3.80 | Simplifying 929 yields: % 14.04/3.80 | (930) ~ (all_0_55_55 = e0) % 14.04/3.80 | % 14.04/3.80 | Equations (430) can reduce 288 to: % 14.04/3.80 | (335) ~ (e2 = e0) % 14.04/3.80 | % 14.04/3.80 | Simplifying 335 yields: % 14.04/3.80 | (63) ~ (e2 = e0) % 14.04/3.80 | % 14.04/3.80 | Equations (924) can reduce 139 to: % 14.04/3.80 | (933) ~ (all_0_58_58 = e3) % 14.04/3.80 | % 14.04/3.80 | Simplifying 933 yields: % 14.04/3.80 | (302) ~ (all_0_58_58 = e3) % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (242), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (337) all_0_44_44 = e0 % 14.04/3.80 | % 14.04/3.80 | Equations (337) can reduce 334 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (334) ~ (all_0_44_44 = e0) % 14.04/3.80 | (340) all_0_48_48 = e0 | all_0_56_56 = e0 % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (62), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (632) all_0_42_42 = e2 % 14.04/3.80 | % 14.04/3.80 | Equations (632) can reduce 277 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (277) ~ (all_0_42_42 = e2) % 14.04/3.80 | (848) all_0_43_43 = e2 | all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2 % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (848), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (426) all_0_43_43 = e2 % 14.04/3.80 | % 14.04/3.80 | Combining equations (430,426) yields a new equation: % 14.04/3.80 | (343) e2 = e0 % 14.04/3.80 | % 14.04/3.80 | Equations (343) can reduce 63 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (288) ~ (all_0_43_43 = e2) % 14.04/3.80 | (852) all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2 % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (852), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (853) all_0_44_44 = e2 % 14.04/3.80 | % 14.04/3.80 | Equations (853) can reduce 265 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (265) ~ (all_0_44_44 = e2) % 14.04/3.80 | (857) all_0_45_45 = e2 | all_0_46_46 = e2 % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (103), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (370) all_0_47_47 = e0 % 14.04/3.80 | % 14.04/3.80 | Equations (370) can reduce 364 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (364) ~ (all_0_47_47 = e0) % 14.04/3.80 | (373) all_0_48_48 = e0 | all_0_50_50 = e0 % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (857), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (858) all_0_45_45 = e2 % 14.04/3.80 | % 14.04/3.80 | Equations (858) can reduce 15 to: % 14.04/3.80 | (832) ~ (all_0_40_40 = e2) % 14.04/3.80 | % 14.04/3.80 | Equations (858) can reduce 220 to: % 14.04/3.80 | (958) ~ (all_0_57_57 = e2) % 14.04/3.80 | % 14.04/3.80 | Simplifying 958 yields: % 14.04/3.80 | (757) ~ (all_0_57_57 = e2) % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (260), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (586) all_0_54_54 = e2 % 14.04/3.80 | % 14.04/3.80 | Equations (586) can reduce 283 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (283) ~ (all_0_54_54 = e2) % 14.04/3.80 | (589) all_0_55_55 = e2 | all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2 % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (589), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (590) all_0_55_55 = e2 % 14.04/3.80 | % 14.04/3.80 | Equations (590) can reduce 207 to: % 14.04/3.80 | (762) ~ (all_0_39_39 = e2) % 14.04/3.80 | % 14.04/3.80 | Equations (590) can reduce 126 to: % 14.04/3.80 | (547) ~ (all_0_58_58 = e2) % 14.04/3.80 | % 14.04/3.80 | Simplifying 547 yields: % 14.04/3.80 | (289) ~ (all_0_58_58 = e2) % 14.04/3.80 | % 14.04/3.80 | Equations (590) can reduce 930 to: % 14.04/3.80 | (63) ~ (e2 = e0) % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (373), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (341) all_0_48_48 = e0 % 14.04/3.80 | % 14.04/3.80 | Combining equations (264,341) yields a new equation: % 14.04/3.80 | (342) e2 = e0 % 14.04/3.80 | % 14.04/3.80 | Simplifying 342 yields: % 14.04/3.80 | (343) e2 = e0 % 14.04/3.80 | % 14.04/3.80 | Equations (343) can reduce 63 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (263) ~ (all_0_48_48 = e0) % 14.04/3.80 | (379) all_0_50_50 = e0 % 14.04/3.80 | % 14.04/3.80 | Equations (379) can reduce 174 to: % 14.04/3.80 | (312) ~ (all_0_41_41 = e0) % 14.04/3.80 | % 14.04/3.80 | Equations (379) can reduce 13 to: % 14.04/3.80 | (525) ~ (all_0_58_58 = e0) % 14.04/3.80 | % 14.04/3.80 | Simplifying 525 yields: % 14.04/3.80 | (358) ~ (all_0_58_58 = e0) % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (75), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (303) all_0_58_58 = e2 % 14.04/3.80 | % 14.04/3.80 | Equations (303) can reduce 289 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (289) ~ (all_0_58_58 = e2) % 14.04/3.80 | (306) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e0 % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (306), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (307) all_0_58_58 = e4 % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (24), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (301) ~ (all_0_58_58 = e4) % 14.04/3.80 | % 14.04/3.80 | Equations (307) can reduce 301 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (307) all_0_58_58 = e4 % 14.04/3.80 | (349) all_0_54_54 = e0 % 14.04/3.80 | % 14.04/3.80 | Equations (349) can reduce 200 to: % 14.04/3.80 | (365) ~ (all_0_56_56 = e0) % 14.04/3.80 | % 14.04/3.80 | Simplifying 365 yields: % 14.04/3.80 | (314) ~ (all_0_56_56 = e0) % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (216), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (576) all_0_39_39 = e2 % 14.04/3.80 | % 14.04/3.80 | Equations (576) can reduce 762 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (762) ~ (all_0_39_39 = e2) % 14.04/3.80 | (767) all_0_40_40 = e2 | all_0_41_41 = e2 % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (43), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (539) all_0_41_41 = e2 % 14.04/3.80 | % 14.04/3.80 | Equations (539) can reduce 312 to: % 14.04/3.80 | (63) ~ (e2 = e0) % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (340), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (341) all_0_48_48 = e0 % 14.04/3.80 | % 14.04/3.80 | Combining equations (264,341) yields a new equation: % 14.04/3.80 | (342) e2 = e0 % 14.04/3.80 | % 14.04/3.80 | Simplifying 342 yields: % 14.04/3.80 | (343) e2 = e0 % 14.04/3.80 | % 14.04/3.80 | Equations (343) can reduce 63 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (263) ~ (all_0_48_48 = e0) % 14.04/3.80 | (346) all_0_56_56 = e0 % 14.04/3.80 | % 14.04/3.80 | Equations (346) can reduce 314 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (542) ~ (all_0_41_41 = e2) % 14.04/3.80 | (1003) all_0_41_41 = e4 | all_0_41_41 = e3 | all_0_41_41 = e0 % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (767), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (770) all_0_40_40 = e2 % 14.04/3.80 | % 14.04/3.80 | Equations (770) can reduce 832 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (832) ~ (all_0_40_40 = e2) % 14.04/3.80 | (539) all_0_41_41 = e2 % 14.04/3.80 | % 14.04/3.80 | Equations (539) can reduce 542 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (301) ~ (all_0_58_58 = e4) % 14.04/3.80 | (310) all_0_58_58 = e3 | all_0_58_58 = e0 % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (310), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (311) all_0_58_58 = e0 % 14.04/3.80 | % 14.04/3.80 | Equations (311) can reduce 358 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (358) ~ (all_0_58_58 = e0) % 14.04/3.80 | (359) all_0_58_58 = e3 % 14.04/3.80 | % 14.04/3.80 | Equations (359) can reduce 302 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (594) ~ (all_0_55_55 = e2) % 14.04/3.80 | (595) all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2 % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (595), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (443) all_0_56_56 = e2 % 14.04/3.80 | % 14.04/3.80 | Equations (443) can reduce 273 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (273) ~ (all_0_56_56 = e2) % 14.04/3.80 | (599) all_0_57_57 = e2 | all_0_58_58 = e2 % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (599), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (600) all_0_57_57 = e2 % 14.04/3.80 | % 14.04/3.80 | Equations (600) can reduce 757 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (757) ~ (all_0_57_57 = e2) % 14.04/3.80 | (303) all_0_58_58 = e2 % 14.04/3.80 | % 14.04/3.80 | Equations (303) can reduce 289 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (601) ~ (all_0_45_45 = e2) % 14.04/3.80 | (544) all_0_46_46 = e2 % 14.04/3.80 | % 14.04/3.80 | Combining equations (924,544) yields a new equation: % 14.04/3.80 | (759) e3 = e2 % 14.04/3.80 | % 14.04/3.80 | Simplifying 759 yields: % 14.04/3.80 | (760) e3 = e2 % 14.04/3.80 | % 14.04/3.80 | Equations (760) can reduce 228 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (303) all_0_58_58 = e2 % 14.04/3.80 | (346) all_0_56_56 = e0 % 14.04/3.80 | % 14.04/3.80 | Equations (303) can reduce 143 to: % 14.04/3.80 | (542) ~ (all_0_41_41 = e2) % 14.04/3.80 | % 14.04/3.80 | Equations (303) can reduce 139 to: % 14.04/3.80 | (839) ~ (all_0_46_46 = e2) % 14.04/3.80 | % 14.04/3.80 | Equations (346) can reduce 200 to: % 14.04/3.80 | (313) ~ (all_0_54_54 = e0) % 14.04/3.80 | % 14.04/3.80 | Equations (303) can reduce 168 to: % 14.04/3.80 | (283) ~ (all_0_54_54 = e2) % 14.04/3.80 | % 14.04/3.80 | From (346) and (185) follows: % 14.04/3.80 | (1038) op(e2, e0) = all_0_21_21 % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (18), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (576) all_0_39_39 = e2 % 14.04/3.80 | % 14.04/3.80 | Equations (576) can reduce 202 to: % 14.04/3.80 | (222) ~ (all_0_38_38 = e2) % 14.04/3.80 | % 14.04/3.80 | Equations (576) can reduce 138 to: % 14.04/3.80 | (1041) ~ (all_0_41_41 = e2) % 14.04/3.80 | % 14.04/3.80 | Simplifying 1041 yields: % 14.04/3.80 | (542) ~ (all_0_41_41 = e2) % 14.04/3.80 | % 14.04/3.80 | Equations (576) can reduce 153 to: % 14.04/3.80 | (1043) ~ (all_0_43_43 = e2) % 14.04/3.80 | % 14.04/3.80 | Simplifying 1043 yields: % 14.04/3.80 | (288) ~ (all_0_43_43 = e2) % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (62), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (632) all_0_42_42 = e2 % 14.04/3.80 | % 14.04/3.80 | Equations (632) can reduce 277 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (277) ~ (all_0_42_42 = e2) % 14.04/3.80 | (848) all_0_43_43 = e2 | all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2 % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (848), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (426) all_0_43_43 = e2 % 14.04/3.80 | % 14.04/3.80 | Equations (426) can reduce 288 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (288) ~ (all_0_43_43 = e2) % 14.04/3.80 | (852) all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2 % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (852), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (853) all_0_44_44 = e2 % 14.04/3.80 | % 14.04/3.80 | Equations (853) can reduce 265 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (265) ~ (all_0_44_44 = e2) % 14.04/3.80 | (857) all_0_45_45 = e2 | all_0_46_46 = e2 % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (857), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (858) all_0_45_45 = e2 % 14.04/3.80 | % 14.04/3.80 | Equations (858) can reduce 15 to: % 14.04/3.80 | (832) ~ (all_0_40_40 = e2) % 14.04/3.80 | % 14.04/3.80 | Equations (858) can reduce 204 to: % 14.04/3.80 | (288) ~ (all_0_43_43 = e2) % 14.04/3.80 | % 14.04/3.80 | Equations (858) can reduce 240 to: % 14.04/3.80 | (1060) ~ (all_0_46_46 = e2) % 14.04/3.80 | % 14.04/3.80 | Simplifying 1060 yields: % 14.04/3.80 | (839) ~ (all_0_46_46 = e2) % 14.04/3.80 | % 14.04/3.80 | Equations (858) can reduce 100 to: % 14.04/3.80 | (266) ~ (all_0_49_49 = e2) % 14.04/3.80 | % 14.04/3.80 | Simplifying 266 yields: % 14.04/3.80 | (267) ~ (all_0_49_49 = e2) % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (158), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (425) ~ (all_0_43_43 = e1) % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (227), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (736) all_0_42_42 = e1 % 14.04/3.80 | % 14.04/3.80 | Equations (736) can reduce 27 to: % 14.04/3.80 | (4) ~ (all_0_38_38 = e1) % 14.04/3.80 | % 14.04/3.80 | Equations (736) can reduce 137 to: % 14.04/3.80 | (861) ~ (all_0_54_54 = e1) % 14.04/3.80 | % 14.04/3.80 | Simplifying 861 yields: % 14.04/3.80 | (747) ~ (all_0_54_54 = e1) % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (176), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (586) all_0_54_54 = e2 % 14.04/3.80 | % 14.04/3.80 | Equations (586) can reduce 283 to: % 14.04/3.80 | (304) $false % 14.04/3.80 | % 14.04/3.80 |-The branch is then unsatisfiable % 14.04/3.80 |-Branch two: % 14.04/3.80 | (283) ~ (all_0_54_54 = e2) % 14.04/3.80 | (881) all_0_54_54 = e4 | all_0_54_54 = e1 | all_0_54_54 = e0 % 14.04/3.80 | % 14.04/3.80 +-Applying beta-rule and splitting (881), into two cases. % 14.04/3.80 |-Branch one: % 14.04/3.80 | (606) all_0_54_54 = e4 % 14.04/3.80 | % 14.04/3.80 | Equations (606) can reduce 215 to: % 14.04/3.80 | (476) ~ (all_0_38_38 = e4) % 14.04/3.80 | % 14.04/3.80 | Equations (606) can reduce 187 to: % 14.04/3.80 | (1075) ~ (all_0_57_57 = e4) % 14.04/3.80 | % 14.04/3.80 | Simplifying 1075 yields: % 14.04/3.80 | (743) ~ (all_0_57_57 = e4) % 14.04/3.80 | % 14.04/3.80 | From (606) and (84) follows: % 14.04/3.80 | (1077) op(e4, e4) = all_0_5_5 % 14.04/3.81 | % 14.04/3.81 +-Applying beta-rule and splitting (197), into two cases. % 14.04/3.81 |-Branch one: % 14.04/3.81 | (292) all_0_38_38 = e4 % 14.04/3.81 | % 14.04/3.81 | Equations (292) can reduce 476 to: % 14.04/3.81 | (304) $false % 14.04/3.81 | % 14.04/3.81 |-The branch is then unsatisfiable % 14.04/3.81 |-Branch two: % 14.04/3.81 | (476) ~ (all_0_38_38 = e4) % 14.04/3.81 | (317) all_0_38_38 = e0 % 14.04/3.81 | % 14.04/3.81 | Equations (317) can reduce 151 to: % 14.04/3.81 | (1082) ~ (all_0_40_40 = e0) % 14.04/3.81 | % 14.04/3.81 | Simplifying 1082 yields: % 14.04/3.81 | (94) ~ (all_0_40_40 = e0) % 14.04/3.81 | % 14.04/3.81 | Equations (317) can reduce 222 to: % 14.04/3.81 | (335) ~ (e2 = e0) % 14.04/3.81 | % 14.04/3.81 | Simplifying 335 yields: % 14.04/3.81 | (63) ~ (e2 = e0) % 14.04/3.81 | % 14.04/3.81 | Equations (317) can reduce 4 to: % 14.04/3.81 | (535) ~ (e1 = e0) % 14.04/3.81 | % 14.04/3.81 | Simplifying 535 yields: % 14.04/3.81 | (150) ~ (e1 = e0) % 14.04/3.81 | % 14.04/3.81 | From (317) and (226) follows: % 14.04/3.81 | (1088) op(e4, e4) = e0 % 14.04/3.81 | % 14.04/3.81 +-Applying beta-rule and splitting (82), into two cases. % 14.04/3.81 |-Branch one: % 14.04/3.81 | (291) ~ (all_0_38_38 = e0) % 14.04/3.81 | % 14.04/3.81 | Equations (317) can reduce 291 to: % 14.04/3.81 | (304) $false % 14.04/3.81 | % 14.04/3.81 |-The branch is then unsatisfiable % 14.04/3.81 |-Branch two: % 14.04/3.81 | (317) all_0_38_38 = e0 % 14.04/3.81 | (480) all_0_41_41 = e4 % 14.04/3.81 | % 14.04/3.81 | Equations (480) can reduce 258 to: % 14.04/3.81 | (484) ~ (all_0_40_40 = e4) % 14.04/3.81 | % 14.04/3.81 | Equations (480) can reduce 542 to: % 14.04/3.81 | (239) ~ (e4 = e2) % 14.04/3.81 | % 14.04/3.81 | Equations (480) can reduce 224 to: % 14.04/3.81 | (261) ~ (e4 = e1) % 14.04/3.81 | % 14.04/3.81 | From (480) and (238) follows: % 14.04/3.81 | (1096) op(e4, e4) = all_0_32_32 % 14.04/3.81 | % 14.04/3.81 +-Applying beta-rule and splitting (57), into two cases. % 14.04/3.81 |-Branch one: % 14.04/3.81 | (646) all_0_40_40 = e4 % 14.04/3.81 | % 14.04/3.81 | Equations (646) can reduce 484 to: % 14.04/3.81 | (304) $false % 14.04/3.81 | % 14.04/3.81 |-The branch is then unsatisfiable % 14.04/3.81 |-Branch two: % 14.04/3.81 | (484) ~ (all_0_40_40 = e4) % 14.04/3.81 | (649) all_0_45_45 = e4 | all_0_49_49 = e4 | all_0_57_57 = e4 % 14.04/3.81 | % 14.04/3.81 +-Applying beta-rule and splitting (70), into two cases. % 14.04/3.81 |-Branch one: % 14.04/3.81 | (770) all_0_40_40 = e2 % 14.04/3.81 | % 14.04/3.81 | Equations (770) can reduce 832 to: % 14.04/3.81 | (304) $false % 14.04/3.81 | % 14.04/3.81 |-The branch is then unsatisfiable % 14.04/3.81 |-Branch two: % 14.04/3.81 | (832) ~ (all_0_40_40 = e2) % 14.04/3.81 | (1104) all_0_40_40 = e4 | all_0_40_40 = e3 % 14.04/3.81 | % 14.04/3.81 +-Applying beta-rule and splitting (649), into two cases. % 14.04/3.81 |-Branch one: % 14.04/3.81 | (424) all_0_45_45 = e4 % 14.04/3.81 | % 14.04/3.81 | Combining equations (858,424) yields a new equation: % 14.04/3.81 | (540) e4 = e2 % 14.04/3.81 | % 14.04/3.81 | Equations (540) can reduce 239 to: % 14.04/3.81 | (304) $false % 14.04/3.81 | % 14.04/3.81 |-The branch is then unsatisfiable % 14.04/3.81 |-Branch two: % 14.04/3.81 | (464) ~ (all_0_45_45 = e4) % 14.04/3.81 | (653) all_0_49_49 = e4 | all_0_57_57 = e4 % 14.04/3.81 | % 14.04/3.81 +-Applying beta-rule and splitting (1104), into two cases. % 14.04/3.81 |-Branch one: % 14.04/3.81 | (646) all_0_40_40 = e4 % 14.04/3.81 | % 14.04/3.81 | Equations (646) can reduce 484 to: % 14.04/3.81 | (304) $false % 14.04/3.81 | % 14.04/3.81 |-The branch is then unsatisfiable % 14.04/3.81 |-Branch two: % 14.04/3.81 | (484) ~ (all_0_40_40 = e4) % 14.04/3.81 | (1113) all_0_40_40 = e3 % 14.04/3.81 | % 14.04/3.81 | Equations (1113) can reduce 183 to: % 14.04/3.81 | (1114) ~ (all_0_57_57 = e3) % 14.04/3.81 | % 14.04/3.81 | Simplifying 1114 yields: % 14.04/3.81 | (1115) ~ (all_0_57_57 = e3) % 14.04/3.81 | % 14.04/3.81 | Equations (1113) can reduce 484 to: % 14.04/3.81 | (566) ~ (e4 = e3) % 14.04/3.81 | % 14.04/3.81 | Simplifying 566 yields: % 14.04/3.81 | (39) ~ (e4 = e3) % 14.04/3.81 | % 14.04/3.81 | Equations (1113) can reduce 832 to: % 14.04/3.81 | (228) ~ (e3 = e2) % 14.04/3.81 | % 14.04/3.81 | Equations (1113) can reduce 94 to: % 14.04/3.81 | (78) ~ (e3 = e0) % 14.04/3.81 | % 14.04/3.81 +-Applying beta-rule and splitting (133), into two cases. % 14.04/3.81 |-Branch one: % 14.04/3.81 | (1120) all_0_41_41 = e3 % 14.04/3.81 | % 14.04/3.81 | Combining equations (1120,480) yields a new equation: % 14.04/3.81 | (462) e4 = e3 % 14.04/3.81 | % 14.04/3.81 | Equations (462) can reduce 39 to: % 14.04/3.81 | (304) $false % 14.04/3.81 | % 14.04/3.81 |-The branch is then unsatisfiable % 14.04/3.81 |-Branch two: % 14.04/3.81 | (1123) ~ (all_0_41_41 = e3) % 14.04/3.81 | (1124) all_0_46_46 = e3 | all_0_58_58 = e3 % 14.04/3.81 | % 14.04/3.81 +-Applying beta-rule and splitting (1124), into two cases. % 14.04/3.81 |-Branch one: % 14.04/3.81 | (924) all_0_46_46 = e3 % 14.04/3.81 | % 14.04/3.81 | Equations (924) can reduce 839 to: % 14.04/3.81 | (228) ~ (e3 = e2) % 14.04/3.81 | % 14.04/3.81 | From (924) and (148) follows: % 14.04/3.81 | (1127) op(e3, e3) = all_0_34_34 % 14.04/3.81 | % 14.04/3.81 +-Applying beta-rule and splitting (653), into two cases. % 14.04/3.81 |-Branch one: % 14.04/3.81 | (654) all_0_49_49 = e4 % 14.04/3.81 | % 14.04/3.81 +-Applying beta-rule and splitting (140), into two cases. % 14.04/3.81 |-Branch one: % 14.04/3.81 | (658) all_0_47_47 = e1 % 14.04/3.81 | % 14.04/3.81 | Equations (658) can reduce 198 to: % 14.04/3.81 | (425) ~ (all_0_43_43 = e1) % 14.04/3.81 | % 14.04/3.81 +-Applying beta-rule and splitting (44), into two cases. % 14.04/3.81 |-Branch one: % 14.04/3.81 | (1131) all_0_55_55 = e3 % 14.04/3.81 | % 14.04/3.81 | Equations (1131) can reduce 64 to: % 14.04/3.81 | (456) ~ (all_0_43_43 = e3) % 14.04/3.81 | % 14.04/3.81 | From (1131) and (93) follows: % 14.04/3.81 | (1133) op(e3, e3) = all_0_14_14 % 14.04/3.81 | % 14.04/3.81 +-Applying beta-rule and splitting (103), into two cases. % 14.04/3.81 |-Branch one: % 14.04/3.81 | (370) all_0_47_47 = e0 % 14.04/3.81 | % 14.04/3.81 | Combining equations (658,370) yields a new equation: % 14.04/3.81 | (1135) e1 = e0 % 14.04/3.81 | % 14.04/3.81 | Simplifying 1135 yields: % 14.04/3.81 | (750) e1 = e0 % 14.04/3.81 | % 14.04/3.81 | Equations (750) can reduce 150 to: % 14.04/3.81 | (304) $false % 14.04/3.81 | % 14.04/3.81 |-The branch is then unsatisfiable % 14.04/3.81 |-Branch two: % 14.04/3.81 | (364) ~ (all_0_47_47 = e0) % 14.04/3.81 | (373) all_0_48_48 = e0 | all_0_50_50 = e0 % 14.04/3.81 | % 14.04/3.81 +-Applying beta-rule and splitting (373), into two cases. % 14.04/3.81 |-Branch one: % 14.04/3.81 | (341) all_0_48_48 = e0 % 14.04/3.81 | % 14.04/3.81 | Combining equations (264,341) yields a new equation: % 14.04/3.81 | (342) e2 = e0 % 14.04/3.81 | % 14.04/3.81 | Simplifying 342 yields: % 14.04/3.81 | (343) e2 = e0 % 14.04/3.81 | % 14.04/3.81 | Equations (343) can reduce 63 to: % 14.04/3.81 | (304) $false % 14.04/3.81 | % 14.04/3.81 |-The branch is then unsatisfiable % 14.04/3.81 |-Branch two: % 14.04/3.81 | (263) ~ (all_0_48_48 = e0) % 14.04/3.81 | (379) all_0_50_50 = e0 % 14.04/3.81 | % 14.04/3.81 | From (379) and (97) follows: % 14.04/3.81 | (1146) op(e2, e0) = all_0_36_36 % 14.04/3.81 | % 14.04/3.81 | From (379) and (79) follows: % 14.04/3.81 | (1147) op(e2, e0) = e0 % 14.04/3.81 | % 14.04/3.81 +-Applying beta-rule and splitting (95), into two cases. % 14.04/3.81 |-Branch one: % 14.04/3.81 | (426) all_0_43_43 = e2 % 14.04/3.81 | % 14.04/3.81 | Equations (426) can reduce 288 to: % 14.04/3.81 | (304) $false % 14.04/3.81 | % 14.04/3.81 |-The branch is then unsatisfiable % 14.04/3.81 |-Branch two: % 14.04/3.81 | (288) ~ (all_0_43_43 = e2) % 14.04/3.81 | (429) all_0_43_43 = e3 | all_0_43_43 = e1 | all_0_43_43 = e0 % 14.04/3.81 | % 14.04/3.81 +-Applying beta-rule and splitting (429), into two cases. % 14.04/3.81 |-Branch one: % 14.04/3.81 | (430) all_0_43_43 = e0 % 14.04/3.81 | % 14.04/3.81 | From (430) and (83) follows: % 14.04/3.81 | (1153) op(e3, e3) = e0 % 14.04/3.81 | % 14.04/3.81 | Instantiating formula (180) with e4, e4, all_0_32_32, all_0_5_5 and discharging atoms op(e4, e4) = all_0_5_5, op(e4, e4) = all_0_32_32, yields: % 14.04/3.81 | (1154) all_0_5_5 = all_0_32_32 % 14.04/3.81 | % 14.04/3.81 | Instantiating formula (180) with e4, e4, e0, all_0_5_5 and discharging atoms op(e4, e4) = all_0_5_5, op(e4, e4) = e0, yields: % 14.04/3.81 | (1155) all_0_5_5 = e0 % 14.04/3.81 | % 14.04/3.81 | Instantiating formula (180) with e3, e3, all_0_34_34, all_0_14_14 and discharging atoms op(e3, e3) = all_0_14_14, op(e3, e3) = all_0_34_34, yields: % 14.04/3.81 | (1156) all_0_14_14 = all_0_34_34 % 14.04/3.81 | % 14.04/3.81 | Instantiating formula (180) with e3, e3, e0, all_0_14_14 and discharging atoms op(e3, e3) = all_0_14_14, op(e3, e3) = e0, yields: % 14.04/3.81 | (703) all_0_14_14 = e0 % 14.04/3.81 | % 14.04/3.81 | Instantiating formula (180) with e2, e0, all_0_36_36, all_0_21_21 and discharging atoms op(e2, e0) = all_0_21_21, op(e2, e0) = all_0_36_36, yields: % 14.04/3.81 | (1158) all_0_21_21 = all_0_36_36 % 14.04/3.81 | % 14.04/3.81 | Instantiating formula (180) with e2, e0, e0, all_0_21_21 and discharging atoms op(e2, e0) = all_0_21_21, op(e2, e0) = e0, yields: % 14.04/3.81 | (1159) all_0_21_21 = e0 % 14.04/3.81 | % 14.04/3.81 | Combining equations (1155,1154) yields a new equation: % 14.04/3.81 | (1160) all_0_32_32 = e0 % 14.04/3.81 | % 14.04/3.81 | Combining equations (703,1156) yields a new equation: % 14.04/3.81 | (679) all_0_34_34 = e0 % 14.04/3.81 | % 14.04/3.81 | Combining equations (1159,1158) yields a new equation: % 14.04/3.81 | (1162) all_0_36_36 = e0 % 14.04/3.81 | % 14.04/3.81 +-Applying beta-rule and splitting (172), into two cases. % 14.04/3.81 |-Branch one: % 14.04/3.81 | (1163) (all_0_31_31 = e4 & ~ (all_0_32_32 = e0)) | (all_0_33_33 = e3 & ~ (all_0_34_34 = e0)) % 14.04/3.81 | % 14.04/3.81 +-Applying beta-rule and splitting (1163), into two cases. % 14.04/3.81 |-Branch one: % 14.04/3.81 | (1164) all_0_31_31 = e4 & ~ (all_0_32_32 = e0) % 14.04/3.81 | % 14.04/3.81 | Applying alpha-rule on (1164) yields: % 14.04/3.81 | (1165) all_0_31_31 = e4 % 14.04/3.81 | (1166) ~ (all_0_32_32 = e0) % 14.04/3.81 | % 14.04/3.81 | Equations (1160) can reduce 1166 to: % 14.04/3.81 | (304) $false % 14.04/3.81 | % 14.04/3.81 |-The branch is then unsatisfiable % 14.04/3.81 |-Branch two: % 14.04/3.81 | (1168) all_0_33_33 = e3 & ~ (all_0_34_34 = e0) % 14.04/3.81 | % 14.04/3.81 | Applying alpha-rule on (1168) yields: % 14.04/3.81 | (1169) all_0_33_33 = e3 % 14.04/3.81 | (1170) ~ (all_0_34_34 = e0) % 14.04/3.81 | % 14.04/3.81 | Equations (679) can reduce 1170 to: % 14.04/3.81 | (304) $false % 14.04/3.81 | % 14.04/3.81 |-The branch is then unsatisfiable % 14.04/3.81 |-Branch two: % 14.04/3.81 | (1172) all_0_35_35 = e2 & ~ (all_0_36_36 = e0) % 14.04/3.81 | % 14.04/3.81 | Applying alpha-rule on (1172) yields: % 14.04/3.81 | (1173) all_0_35_35 = e2 % 14.04/3.81 | (1174) ~ (all_0_36_36 = e0) % 14.04/3.81 | % 14.04/3.81 | Equations (1162) can reduce 1174 to: % 14.04/3.81 | (304) $false % 14.04/3.81 | % 14.04/3.81 |-The branch is then unsatisfiable % 14.04/3.81 |-Branch two: % 14.04/3.81 | (290) ~ (all_0_43_43 = e0) % 14.04/3.81 | (433) all_0_43_43 = e3 | all_0_43_43 = e1 % 14.04/3.81 | % 14.04/3.81 +-Applying beta-rule and splitting (433), into two cases. % 14.04/3.81 |-Branch one: % 14.04/3.81 | (434) all_0_43_43 = e3 % 14.04/3.81 | % 14.04/3.81 | Equations (434) can reduce 456 to: % 14.04/3.81 | (304) $false % 14.04/3.81 | % 14.04/3.81 |-The branch is then unsatisfiable % 14.04/3.81 |-Branch two: % 14.04/3.81 | (456) ~ (all_0_43_43 = e3) % 14.04/3.81 | (457) all_0_43_43 = e1 % 14.04/3.81 | % 14.04/3.81 | Equations (457) can reduce 425 to: % 14.04/3.81 | (304) $false % 14.04/3.81 | % 14.04/3.81 |-The branch is then unsatisfiable % 14.04/3.81 |-Branch two: % 14.04/3.81 | (1183) ~ (all_0_55_55 = e3) % 14.04/3.81 | (1184) all_0_56_56 = e3 | all_0_57_57 = e3 | all_0_58_58 = e3 % 14.04/3.81 | % 14.04/3.81 +-Applying beta-rule and splitting (1184), into two cases. % 14.04/3.81 |-Branch one: % 14.04/3.81 | (454) all_0_56_56 = e3 % 14.04/3.81 | % 14.04/3.81 | Combining equations (346,454) yields a new equation: % 14.04/3.81 | (572) e3 = e0 % 14.04/3.81 | % 14.04/3.81 | Equations (572) can reduce 78 to: % 14.04/3.81 | (304) $false % 14.04/3.81 | % 14.04/3.81 |-The branch is then unsatisfiable % 14.04/3.81 |-Branch two: % 14.04/3.81 | (442) ~ (all_0_56_56 = e3) % 14.04/3.81 | (1189) all_0_57_57 = e3 | all_0_58_58 = e3 % 14.04/3.81 | % 14.04/3.81 +-Applying beta-rule and splitting (1189), into two cases. % 14.04/3.81 |-Branch one: % 14.04/3.81 | (1190) all_0_57_57 = e3 % 14.04/3.81 | % 14.04/3.81 | Equations (1190) can reduce 1115 to: % 14.04/3.81 | (304) $false % 14.04/3.81 | % 14.04/3.81 |-The branch is then unsatisfiable % 14.04/3.81 |-Branch two: % 14.04/3.81 | (1115) ~ (all_0_57_57 = e3) % 14.04/3.81 | (359) all_0_58_58 = e3 % 14.04/3.81 | % 14.04/3.81 | Combining equations (359,303) yields a new equation: % 14.04/3.81 | (759) e3 = e2 % 14.04/3.81 | % 14.04/3.81 | Simplifying 759 yields: % 14.04/3.81 | (760) e3 = e2 % 14.04/3.81 | % 14.04/3.81 | Equations (760) can reduce 228 to: % 14.04/3.81 | (304) $false % 14.04/3.81 | % 14.04/3.81 |-The branch is then unsatisfiable % 14.04/3.81 |-Branch two: % 14.04/3.81 | (717) ~ (all_0_47_47 = e1) % 14.04/3.81 | (709) all_0_49_49 = e1 % 14.04/3.81 | % 14.04/3.81 | Combining equations (654,709) yields a new equation: % 14.04/3.81 | (710) e4 = e1 % 14.04/3.81 | % 14.04/3.81 | Simplifying 710 yields: % 14.04/3.81 | (607) e4 = e1 % 14.04/3.81 | % 14.04/3.81 | Equations (607) can reduce 261 to: % 14.04/3.81 | (304) $false % 14.04/3.81 | % 14.04/3.81 |-The branch is then unsatisfiable % 14.04/3.81 |-Branch two: % 14.04/3.81 | (722) ~ (all_0_49_49 = e4) % 14.04/3.81 | (723) all_0_57_57 = e4 % 14.04/3.81 | % 14.04/3.81 | Equations (723) can reduce 743 to: % 14.04/3.81 | (304) $false % 14.04/3.81 | % 14.04/3.81 |-The branch is then unsatisfiable % 14.04/3.81 |-Branch two: % 14.04/3.81 | (1205) ~ (all_0_46_46 = e3) % 14.04/3.81 | (359) all_0_58_58 = e3 % 14.04/3.81 | % 14.04/3.81 | Combining equations (359,303) yields a new equation: % 14.04/3.81 | (759) e3 = e2 % 14.04/3.81 | % 14.04/3.81 | Simplifying 759 yields: % 14.04/3.81 | (760) e3 = e2 % 14.04/3.82 | % 14.04/3.82 | Equations (760) can reduce 228 to: % 14.04/3.82 | (304) $false % 14.04/3.82 | % 14.04/3.82 |-The branch is then unsatisfiable % 14.04/3.82 |-Branch two: % 14.04/3.82 | (298) ~ (all_0_54_54 = e4) % 14.04/3.82 | (885) all_0_54_54 = e1 | all_0_54_54 = e0 % 14.04/3.82 | % 14.04/3.82 +-Applying beta-rule and splitting (885), into two cases. % 14.04/3.82 |-Branch one: % 14.04/3.82 | (349) all_0_54_54 = e0 % 14.04/3.82 | % 14.04/3.82 | Equations (349) can reduce 313 to: % 14.04/3.82 | (304) $false % 14.04/3.82 | % 14.04/3.82 |-The branch is then unsatisfiable % 14.04/3.82 |-Branch two: % 14.04/3.82 | (313) ~ (all_0_54_54 = e0) % 14.04/3.82 | (604) all_0_54_54 = e1 % 14.04/3.82 | % 14.04/3.82 | Equations (604) can reduce 747 to: % 14.04/3.82 | (304) $false % 14.04/3.82 | % 14.04/3.82 |-The branch is then unsatisfiable % 14.04/3.82 |-Branch two: % 14.04/3.82 | (605) ~ (all_0_42_42 = e1) % 14.04/3.82 | (899) all_0_43_43 = e1 | all_0_45_45 = e1 % 14.04/3.82 | % 14.04/3.82 +-Applying beta-rule and splitting (205), into two cases. % 14.04/3.82 |-Branch one: % 14.04/3.82 | (736) all_0_42_42 = e1 % 14.04/3.82 | % 14.04/3.82 | Equations (736) can reduce 605 to: % 14.04/3.82 | (304) $false % 14.04/3.82 | % 14.04/3.82 |-The branch is then unsatisfiable % 14.04/3.82 |-Branch two: % 14.04/3.82 | (605) ~ (all_0_42_42 = e1) % 14.04/3.82 | (604) all_0_54_54 = e1 % 14.04/3.82 | % 14.04/3.82 | Equations (604) can reduce 187 to: % 14.04/3.82 | (1223) ~ (all_0_57_57 = e1) % 14.04/3.82 | % 14.04/3.82 | Simplifying 1223 yields: % 14.04/3.82 | (1224) ~ (all_0_57_57 = e1) % 14.04/3.82 | % 14.04/3.82 | Equations (604) can reduce 283 to: % 14.04/3.82 | (661) ~ (e2 = e1) % 14.04/3.82 | % 14.04/3.82 | Simplifying 661 yields: % 14.04/3.82 | (157) ~ (e2 = e1) % 14.04/3.82 | % 14.04/3.82 +-Applying beta-rule and splitting (109), into two cases. % 14.04/3.82 |-Branch one: % 14.04/3.82 | (664) all_0_45_45 = e1 % 14.04/3.82 | % 14.04/3.82 | Combining equations (664,858) yields a new equation: % 14.04/3.82 | (695) e2 = e1 % 14.04/3.82 | % 14.04/3.82 | Equations (695) can reduce 157 to: % 14.04/3.82 | (304) $false % 14.04/3.82 | % 14.04/3.82 |-The branch is then unsatisfiable % 14.04/3.82 |-Branch two: % 14.04/3.82 | (707) ~ (all_0_45_45 = e1) % 14.04/3.82 | (708) all_0_49_49 = e1 | all_0_57_57 = e1 % 14.04/3.82 | % 14.04/3.82 +-Applying beta-rule and splitting (708), into two cases. % 14.04/3.82 |-Branch one: % 14.04/3.82 | (709) all_0_49_49 = e1 % 14.04/3.82 | % 14.04/3.82 | Equations (709) can reduce 267 to: % 14.04/3.82 | (661) ~ (e2 = e1) % 14.04/3.82 | % 14.04/3.82 | Simplifying 661 yields: % 14.04/3.82 | (157) ~ (e2 = e1) % 14.04/3.82 | % 14.04/3.82 +-Applying beta-rule and splitting (235), into two cases. % 14.04/3.82 |-Branch one: % 14.04/3.82 | (457) all_0_43_43 = e1 % 14.04/3.82 | % 14.04/3.82 | Equations (457) can reduce 425 to: % 14.04/3.82 | (304) $false % 14.04/3.82 | % 14.04/3.82 |-The branch is then unsatisfiable % 14.04/3.82 |-Branch two: % 14.04/3.82 | (425) ~ (all_0_43_43 = e1) % 14.04/3.82 | (1238) all_0_47_47 = e1 | all_0_55_55 = e1 % 14.04/3.82 | % 14.04/3.82 +-Applying beta-rule and splitting (899), into two cases. % 14.04/3.82 |-Branch one: % 14.04/3.82 | (457) all_0_43_43 = e1 % 14.04/3.82 | % 14.04/3.82 | Equations (457) can reduce 425 to: % 14.04/3.82 | (304) $false % 14.04/3.82 | % 14.04/3.82 |-The branch is then unsatisfiable % 14.04/3.82 |-Branch two: % 14.04/3.82 | (425) ~ (all_0_43_43 = e1) % 14.04/3.82 | (664) all_0_45_45 = e1 % 14.04/3.82 | % 14.04/3.82 | Combining equations (664,858) yields a new equation: % 14.04/3.82 | (695) e2 = e1 % 14.04/3.82 | % 14.04/3.82 | Equations (695) can reduce 157 to: % 14.04/3.82 | (304) $false % 14.04/3.82 | % 14.04/3.82 |-The branch is then unsatisfiable % 14.04/3.82 |-Branch two: % 14.04/3.82 | (713) ~ (all_0_49_49 = e1) % 14.04/3.82 | (714) all_0_57_57 = e1 % 14.04/3.82 | % 14.04/3.82 | Equations (714) can reduce 1224 to: % 14.04/3.82 | (304) $false % 14.04/3.82 | % 14.04/3.82 |-The branch is then unsatisfiable % 14.04/3.82 |-Branch two: % 14.04/3.82 | (457) all_0_43_43 = e1 % 14.04/3.82 | (460) all_0_45_45 = e3 % 14.04/3.82 | % 14.04/3.82 | Combining equations (460,858) yields a new equation: % 14.04/3.82 | (759) e3 = e2 % 14.04/3.82 | % 14.04/3.82 | Simplifying 759 yields: % 14.04/3.82 | (760) e3 = e2 % 14.04/3.82 | % 14.04/3.82 | Equations (760) can reduce 228 to: % 14.04/3.82 | (304) $false % 14.04/3.82 | % 14.04/3.82 |-The branch is then unsatisfiable % 14.04/3.82 |-Branch two: % 14.04/3.82 | (601) ~ (all_0_45_45 = e2) % 14.04/3.82 | (544) all_0_46_46 = e2 % 14.04/3.82 | % 14.04/3.82 | Equations (544) can reduce 839 to: % 14.04/3.82 | (304) $false % 14.04/3.82 | % 14.04/3.82 |-The branch is then unsatisfiable % 14.04/3.82 |-Branch two: % 14.04/3.82 | (762) ~ (all_0_39_39 = e2) % 14.04/3.82 | (763) all_0_43_43 = e2 | all_0_47_47 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2 % 14.04/3.82 | % 14.04/3.82 +-Applying beta-rule and splitting (763), into two cases. % 14.04/3.82 |-Branch one: % 14.04/3.82 | (426) all_0_43_43 = e2 % 14.04/3.82 | % 14.04/3.82 | Equations (426) can reduce 288 to: % 14.04/3.82 | (304) $false % 14.04/3.82 | % 14.04/3.82 |-The branch is then unsatisfiable % 14.04/3.82 |-Branch two: % 14.04/3.82 | (288) ~ (all_0_43_43 = e2) % 14.04/3.82 | (1261) all_0_47_47 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2 % 14.04/3.82 | % 14.04/3.82 +-Applying beta-rule and splitting (62), into two cases. % 14.04/3.82 |-Branch one: % 14.04/3.82 | (632) all_0_42_42 = e2 % 14.04/3.82 | % 14.04/3.82 | Equations (632) can reduce 277 to: % 14.04/3.82 | (304) $false % 14.04/3.82 | % 14.04/3.82 |-The branch is then unsatisfiable % 14.04/3.82 |-Branch two: % 14.04/3.82 | (277) ~ (all_0_42_42 = e2) % 14.04/3.82 | (848) all_0_43_43 = e2 | all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2 % 14.04/3.82 | % 14.04/3.82 +-Applying beta-rule and splitting (848), into two cases. % 14.04/3.82 |-Branch one: % 14.04/3.82 | (426) all_0_43_43 = e2 % 14.04/3.82 | % 14.04/3.82 | Equations (426) can reduce 288 to: % 14.04/3.82 | (304) $false % 14.04/3.82 | % 14.04/3.82 |-The branch is then unsatisfiable % 14.04/3.82 |-Branch two: % 14.04/3.82 | (288) ~ (all_0_43_43 = e2) % 14.04/3.82 | (852) all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2 % 14.04/3.82 | % 14.04/3.82 +-Applying beta-rule and splitting (852), into two cases. % 14.04/3.82 |-Branch one: % 14.04/3.82 | (853) all_0_44_44 = e2 % 14.04/3.82 | % 14.04/3.82 | Equations (853) can reduce 265 to: % 14.04/3.82 | (304) $false % 14.04/3.82 | % 14.04/3.82 |-The branch is then unsatisfiable % 14.04/3.82 |-Branch two: % 14.04/3.82 | (265) ~ (all_0_44_44 = e2) % 14.04/3.82 | (857) all_0_45_45 = e2 | all_0_46_46 = e2 % 14.04/3.82 | % 14.04/3.82 +-Applying beta-rule and splitting (857), into two cases. % 14.04/3.82 |-Branch one: % 14.04/3.82 | (858) all_0_45_45 = e2 % 14.04/3.82 | % 14.04/3.82 | Equations (858) can reduce 15 to: % 14.04/3.82 | (832) ~ (all_0_40_40 = e2) % 14.04/3.82 | % 14.04/3.82 +-Applying beta-rule and splitting (216), into two cases. % 14.04/3.82 |-Branch one: % 14.04/3.82 | (576) all_0_39_39 = e2 % 14.04/3.82 | % 14.04/3.82 | Equations (576) can reduce 762 to: % 14.04/3.82 | (304) $false % 14.04/3.82 | % 14.04/3.82 |-The branch is then unsatisfiable % 14.04/3.82 |-Branch two: % 14.04/3.82 | (762) ~ (all_0_39_39 = e2) % 14.04/3.82 | (767) all_0_40_40 = e2 | all_0_41_41 = e2 % 14.04/3.82 | % 14.04/3.82 +-Applying beta-rule and splitting (767), into two cases. % 14.04/3.82 |-Branch one: % 14.04/3.82 | (770) all_0_40_40 = e2 % 14.04/3.82 | % 14.04/3.82 | Equations (770) can reduce 832 to: % 14.04/3.82 | (304) $false % 14.04/3.82 | % 14.04/3.82 |-The branch is then unsatisfiable % 14.04/3.82 |-Branch two: % 14.04/3.82 | (832) ~ (all_0_40_40 = e2) % 14.04/3.82 | (539) all_0_41_41 = e2 % 14.04/3.82 | % 14.04/3.82 | Equations (539) can reduce 542 to: % 14.04/3.82 | (304) $false % 14.04/3.82 | % 14.04/3.82 |-The branch is then unsatisfiable % 14.04/3.82 |-Branch two: % 14.04/3.82 | (601) ~ (all_0_45_45 = e2) % 14.04/3.82 | (544) all_0_46_46 = e2 % 14.04/3.82 | % 14.04/3.82 | Equations (544) can reduce 839 to: % 14.04/3.82 | (304) $false % 14.04/3.82 | % 14.04/3.82 |-The branch is then unsatisfiable % 14.04/3.82 |-Branch two: % 14.04/3.82 | (426) all_0_43_43 = e2 % 14.04/3.82 | (570) all_0_44_44 = e3 % 14.04/3.82 | % 14.04/3.82 | Equations (426) can reduce 153 to: % 14.04/3.82 | (762) ~ (all_0_39_39 = e2) % 14.04/3.82 | % 14.04/3.82 | Equations (426) can reduce 255 to: % 14.04/3.82 | (1060) ~ (all_0_46_46 = e2) % 14.04/3.82 | % 14.04/3.82 | Simplifying 1060 yields: % 14.04/3.82 | (839) ~ (all_0_46_46 = e2) % 14.04/3.82 | % 14.04/3.82 | Equations (426) can reduce 236 to: % 14.04/3.82 | (278) ~ (all_0_52_52 = e2) % 14.04/3.82 | % 14.04/3.82 | Simplifying 278 yields: % 14.04/3.82 | (279) ~ (all_0_52_52 = e2) % 14.04/3.82 | % 14.04/3.82 | Equations (426) can reduce 40 to: % 14.04/3.82 | (274) ~ (e4 = e2) % 14.04/3.82 | % 14.04/3.82 | Simplifying 274 yields: % 14.04/3.82 | (239) ~ (e4 = e2) % 14.04/3.82 | % 14.04/3.82 | Equations (570) can reduce 121 to: % 14.04/3.82 | (1297) ~ (all_0_46_46 = e3) % 14.04/3.82 | % 14.04/3.82 | Simplifying 1297 yields: % 14.04/3.82 | (1205) ~ (all_0_46_46 = e3) % 14.04/3.82 | % 14.04/3.82 | Equations (570) can reduce 112 to: % 14.04/3.82 | (1299) ~ (all_0_53_53 = e3) % 14.04/3.82 | % 14.04/3.82 | Simplifying 1299 yields: % 14.04/3.82 | (836) ~ (all_0_53_53 = e3) % 14.04/3.82 | % 14.04/3.82 | Equations (570) can reduce 189 to: % 14.04/3.82 | (441) ~ (all_0_56_56 = e3) % 14.04/3.82 | % 14.04/3.82 | Simplifying 441 yields: % 14.04/3.82 | (442) ~ (all_0_56_56 = e3) % 14.04/3.82 | % 14.04/3.82 +-Applying beta-rule and splitting (7), into two cases. % 14.04/3.82 |-Branch one: % 14.04/3.82 | (437) all_0_52_52 = e3 % 14.04/3.82 | % 14.04/3.82 | Equations (437) can reduce 101 to: % 14.04/3.82 | (208) ~ (all_0_47_47 = e3) % 14.04/3.82 | % 14.04/3.82 | Equations (437) can reduce 52 to: % 14.04/3.82 | (1299) ~ (all_0_53_53 = e3) % 14.04/3.82 | % 14.04/3.82 | Simplifying 1299 yields: % 14.04/3.82 | (836) ~ (all_0_53_53 = e3) % 14.04/3.82 | % 14.04/3.82 | Equations (437) can reduce 279 to: % 14.04/3.82 | (228) ~ (e3 = e2) % 14.04/3.82 | % 14.04/3.82 +-Applying beta-rule and splitting (29), into two cases. % 14.04/3.82 |-Branch one: % 14.04/3.82 | (627) all_0_51_51 = e4 % 14.04/3.82 | % 14.04/3.82 | Combining equations (276,627) yields a new equation: % 14.04/3.82 | (540) e4 = e2 % 14.04/3.82 | % 14.04/3.82 | Equations (540) can reduce 239 to: % 14.04/3.82 | (304) $false % 14.04/3.82 | % 14.04/3.82 |-The branch is then unsatisfiable % 14.04/3.82 |-Branch two: % 14.04/3.82 | (630) ~ (all_0_51_51 = e4) % 14.04/3.82 | (631) all_0_52_52 = e4 | all_0_53_53 = e4 % 14.04/3.82 | % 14.04/3.82 +-Applying beta-rule and splitting (631), into two cases. % 14.04/3.82 |-Branch one: % 14.04/3.82 | (642) all_0_52_52 = e4 % 14.04/3.82 | % 14.04/3.82 | Combining equations (437,642) yields a new equation: % 14.04/3.82 | (462) e4 = e3 % 14.04/3.82 | % 14.04/3.82 | Equations (462) can reduce 39 to: % 14.04/3.82 | (304) $false % 14.04/3.82 | % 14.04/3.82 |-The branch is then unsatisfiable % 14.04/3.82 |-Branch two: % 14.04/3.82 | (727) ~ (all_0_52_52 = e4) % 14.04/3.82 | (623) all_0_53_53 = e4 % 14.04/3.82 | % 14.04/3.82 | Equations (623) can reduce 253 to: % 14.04/3.82 | (1318) ~ (all_0_56_56 = e4) % 14.04/3.82 | % 14.04/3.82 | Simplifying 1318 yields: % 14.04/3.82 | (410) ~ (all_0_56_56 = e4) % 14.04/3.82 | % 14.04/3.82 | Equations (623) can reduce 836 to: % 14.04/3.82 | (39) ~ (e4 = e3) % 14.04/3.82 | % 14.04/3.82 +-Applying beta-rule and splitting (199), into two cases. % 14.04/3.82 |-Branch one: % 14.04/3.82 | (443) all_0_56_56 = e2 % 14.04/3.82 | % 14.04/3.82 | Equations (443) can reduce 273 to: % 14.04/3.82 | (304) $false % 14.04/3.82 | % 14.04/3.82 |-The branch is then unsatisfiable % 14.04/3.82 |-Branch two: % 14.04/3.82 | (273) ~ (all_0_56_56 = e2) % 14.04/3.82 | (446) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0 % 14.04/3.82 | % 14.04/3.82 +-Applying beta-rule and splitting (446), into two cases. % 14.04/3.82 |-Branch one: % 14.04/3.82 | (447) all_0_56_56 = e4 % 14.04/3.82 | % 14.04/3.82 | Equations (447) can reduce 410 to: % 14.04/3.82 | (304) $false % 14.04/3.82 | % 14.04/3.82 |-The branch is then unsatisfiable % 14.04/3.82 |-Branch two: % 14.04/3.82 | (410) ~ (all_0_56_56 = e4) % 14.04/3.82 | (450) all_0_56_56 = e3 | all_0_56_56 = e0 % 14.04/3.82 | % 14.04/3.82 +-Applying beta-rule and splitting (450), into two cases. % 14.04/3.82 |-Branch one: % 14.04/3.82 | (346) all_0_56_56 = e0 % 14.04/3.82 | % 14.04/3.82 | Equations (346) can reduce 200 to: % 14.04/3.82 | (313) ~ (all_0_54_54 = e0) % 14.04/3.82 | % 14.04/3.82 | Equations (346) can reduce 107 to: % 14.04/3.82 | (930) ~ (all_0_55_55 = e0) % 14.04/3.82 | % 14.04/3.82 | Equations (346) can reduce 85 to: % 14.04/3.82 | (535) ~ (e1 = e0) % 14.04/3.82 | % 14.04/3.82 | Simplifying 535 yields: % 14.04/3.82 | (150) ~ (e1 = e0) % 14.04/3.82 | % 14.04/3.82 | From (346) and (185) follows: % 14.04/3.82 | (1038) op(e2, e0) = all_0_21_21 % 14.04/3.82 | % 14.04/3.82 +-Applying beta-rule and splitting (54), into two cases. % 14.04/3.82 |-Branch one: % 14.04/3.82 | (302) ~ (all_0_58_58 = e3) % 14.04/3.82 | % 14.04/3.82 +-Applying beta-rule and splitting (133), into two cases. % 14.04/3.82 |-Branch one: % 14.04/3.82 | (1120) all_0_41_41 = e3 % 14.04/3.82 | % 14.04/3.82 | Equations (1120) can reduce 258 to: % 14.04/3.82 | (1337) ~ (all_0_40_40 = e3) % 14.04/3.82 | % 14.04/3.82 | Equations (1120) can reduce 55 to: % 14.04/3.82 | (1297) ~ (all_0_46_46 = e3) % 14.04/3.82 | % 14.04/3.82 | Simplifying 1297 yields: % 14.04/3.82 | (1205) ~ (all_0_46_46 = e3) % 14.04/3.82 | % 14.04/3.82 | Equations (1120) can reduce 174 to: % 14.04/3.82 | (1340) ~ (all_0_50_50 = e3) % 14.04/3.82 | % 14.04/3.82 | Simplifying 1340 yields: % 14.04/3.82 | (25) ~ (all_0_50_50 = e3) % 14.04/3.82 | % 14.04/3.82 | From (1120) and (238) follows: % 14.04/3.82 | (1342) op(e4, e3) = all_0_32_32 % 14.04/3.82 | % 14.04/3.82 +-Applying beta-rule and splitting (82), into two cases. % 14.04/3.82 |-Branch one: % 14.04/3.82 | (291) ~ (all_0_38_38 = e0) % 14.04/3.82 | % 14.04/3.82 +-Applying beta-rule and splitting (223), into two cases. % 14.04/3.82 |-Branch one: % 14.04/3.82 | (317) all_0_38_38 = e0 % 14.04/3.82 | % 14.04/3.82 | Equations (317) can reduce 291 to: % 14.04/3.82 | (304) $false % 14.04/3.82 | % 14.04/3.82 |-The branch is then unsatisfiable % 14.04/3.82 |-Branch two: % 14.04/3.82 | (291) ~ (all_0_38_38 = e0) % 14.04/3.82 | (331) all_0_42_42 = e0 | all_0_54_54 = e0 % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (197), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (292) all_0_38_38 = e4 % 14.04/3.83 | % 14.04/3.83 | Equations (292) can reduce 202 to: % 14.04/3.83 | (293) ~ (all_0_39_39 = e4) % 14.04/3.83 | % 14.04/3.83 | Simplifying 293 yields: % 14.04/3.83 | (294) ~ (all_0_39_39 = e4) % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (230), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (1113) all_0_40_40 = e3 % 14.04/3.83 | % 14.04/3.83 | Equations (1113) can reduce 1337 to: % 14.04/3.83 | (304) $false % 14.04/3.83 | % 14.04/3.83 |-The branch is then unsatisfiable % 14.04/3.83 |-Branch two: % 14.04/3.83 | (1337) ~ (all_0_40_40 = e3) % 14.04/3.83 | (1354) all_0_45_45 = e3 | all_0_57_57 = e3 % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (331), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (332) all_0_42_42 = e0 % 14.04/3.83 | % 14.04/3.83 | Equations (332) can reduce 92 to: % 14.04/3.83 | (1356) ~ (all_0_45_45 = e0) % 14.04/3.83 | % 14.04/3.83 | Simplifying 1356 yields: % 14.04/3.83 | (149) ~ (all_0_45_45 = e0) % 14.04/3.83 | % 14.04/3.83 | Equations (332) can reduce 137 to: % 14.04/3.83 | (1358) ~ (all_0_54_54 = e0) % 14.04/3.83 | % 14.04/3.83 | Simplifying 1358 yields: % 14.04/3.83 | (313) ~ (all_0_54_54 = e0) % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (227), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (736) all_0_42_42 = e1 % 14.04/3.83 | % 14.04/3.83 | Combining equations (736,332) yields a new equation: % 14.04/3.83 | (1135) e1 = e0 % 14.04/3.83 | % 14.04/3.83 | Simplifying 1135 yields: % 14.04/3.83 | (750) e1 = e0 % 14.04/3.83 | % 14.04/3.83 | Equations (750) can reduce 150 to: % 14.04/3.83 | (304) $false % 14.04/3.83 | % 14.04/3.83 |-The branch is then unsatisfiable % 14.04/3.83 |-Branch two: % 14.04/3.83 | (605) ~ (all_0_42_42 = e1) % 14.04/3.83 | (899) all_0_43_43 = e1 | all_0_45_45 = e1 % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (899), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (457) all_0_43_43 = e1 % 14.04/3.83 | % 14.04/3.83 | Combining equations (426,457) yields a new equation: % 14.04/3.83 | (694) e2 = e1 % 14.04/3.83 | % 14.04/3.83 | Simplifying 694 yields: % 14.04/3.83 | (695) e2 = e1 % 14.04/3.83 | % 14.04/3.83 | Equations (695) can reduce 157 to: % 14.04/3.83 | (304) $false % 14.04/3.83 | % 14.04/3.83 |-The branch is then unsatisfiable % 14.04/3.83 |-Branch two: % 14.04/3.83 | (425) ~ (all_0_43_43 = e1) % 14.04/3.83 | (664) all_0_45_45 = e1 % 14.04/3.83 | % 14.04/3.83 | Equations (664) can reduce 100 to: % 14.04/3.83 | (1372) ~ (all_0_49_49 = e1) % 14.04/3.83 | % 14.04/3.83 | Simplifying 1372 yields: % 14.04/3.83 | (713) ~ (all_0_49_49 = e1) % 14.04/3.83 | % 14.04/3.83 | Equations (664) can reduce 149 to: % 14.04/3.83 | (150) ~ (e1 = e0) % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (33), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (1375) all_0_49_49 = e2 % 14.04/3.83 | % 14.04/3.83 | Equations (1375) can reduce 267 to: % 14.04/3.83 | (304) $false % 14.04/3.83 | % 14.04/3.83 |-The branch is then unsatisfiable % 14.04/3.83 |-Branch two: % 14.04/3.83 | (267) ~ (all_0_49_49 = e2) % 14.04/3.83 | (1378) all_0_49_49 = e4 | all_0_49_49 = e1 % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (205), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (736) all_0_42_42 = e1 % 14.04/3.83 | % 14.04/3.83 | Combining equations (736,332) yields a new equation: % 14.04/3.83 | (1135) e1 = e0 % 14.04/3.83 | % 14.04/3.83 | Simplifying 1135 yields: % 14.04/3.83 | (750) e1 = e0 % 14.04/3.83 | % 14.04/3.83 | Equations (750) can reduce 150 to: % 14.04/3.83 | (304) $false % 14.04/3.83 | % 14.04/3.83 |-The branch is then unsatisfiable % 14.04/3.83 |-Branch two: % 14.04/3.83 | (605) ~ (all_0_42_42 = e1) % 14.04/3.83 | (604) all_0_54_54 = e1 % 14.04/3.83 | % 14.04/3.83 | Equations (604) can reduce 233 to: % 14.04/3.83 | (1385) ~ (all_0_55_55 = e1) % 14.04/3.83 | % 14.04/3.83 | Simplifying 1385 yields: % 14.04/3.83 | (752) ~ (all_0_55_55 = e1) % 14.04/3.83 | % 14.04/3.83 | Equations (604) can reduce 117 to: % 14.04/3.83 | (1387) ~ (e3 = e1) % 14.04/3.83 | % 14.04/3.83 | Simplifying 1387 yields: % 14.04/3.83 | (154) ~ (e3 = e1) % 14.04/3.83 | % 14.04/3.83 | Equations (604) can reduce 313 to: % 14.04/3.83 | (150) ~ (e1 = e0) % 14.04/3.83 | % 14.04/3.83 | From (604) and (74) follows: % 14.04/3.83 | (1390) op(e0, e4) = e1 % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (75), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (303) all_0_58_58 = e2 % 14.04/3.83 | % 14.04/3.83 | Equations (303) can reduce 245 to: % 14.04/3.83 | (757) ~ (all_0_57_57 = e2) % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (11), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (576) all_0_39_39 = e2 % 14.04/3.83 | % 14.04/3.83 | Equations (576) can reduce 762 to: % 14.04/3.83 | (304) $false % 14.04/3.83 | % 14.04/3.83 |-The branch is then unsatisfiable % 14.04/3.83 |-Branch two: % 14.04/3.83 | (762) ~ (all_0_39_39 = e2) % 14.04/3.83 | (814) all_0_39_39 = e4 | all_0_39_39 = e3 | all_0_39_39 = e0 % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (1354), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (460) all_0_45_45 = e3 % 14.04/3.83 | % 14.04/3.83 | Combining equations (664,460) yields a new equation: % 14.04/3.83 | (1398) e3 = e1 % 14.04/3.83 | % 14.04/3.83 | Equations (1398) can reduce 154 to: % 14.04/3.83 | (304) $false % 14.04/3.83 | % 14.04/3.83 |-The branch is then unsatisfiable % 14.04/3.83 |-Branch two: % 14.04/3.83 | (1400) ~ (all_0_45_45 = e3) % 14.04/3.83 | (1190) all_0_57_57 = e3 % 14.04/3.83 | % 14.04/3.83 | Equations (1190) can reduce 10 to: % 14.04/3.83 | (218) ~ (all_0_49_49 = e3) % 14.04/3.83 | % 14.04/3.83 | Equations (1190) can reduce 757 to: % 14.04/3.83 | (228) ~ (e3 = e2) % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (1378), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (654) all_0_49_49 = e4 % 14.04/3.83 | % 14.04/3.83 | Equations (654) can reduce 191 to: % 14.04/3.83 | (656) ~ (all_0_47_47 = e4) % 14.04/3.83 | % 14.04/3.83 | Equations (654) can reduce 90 to: % 14.04/3.83 | (487) ~ (all_0_50_50 = e4) % 14.04/3.83 | % 14.04/3.83 | Simplifying 487 yields: % 14.04/3.83 | (488) ~ (all_0_50_50 = e4) % 14.04/3.83 | % 14.04/3.83 | Equations (654) can reduce 218 to: % 14.04/3.83 | (39) ~ (e4 = e3) % 14.04/3.83 | % 14.04/3.83 | Equations (654) can reduce 267 to: % 14.04/3.83 | (239) ~ (e4 = e2) % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (250), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (480) all_0_41_41 = e4 % 14.04/3.83 | % 14.04/3.83 | Combining equations (480,1120) yields a new equation: % 14.04/3.83 | (461) e4 = e3 % 14.04/3.83 | % 14.04/3.83 | Simplifying 461 yields: % 14.04/3.83 | (462) e4 = e3 % 14.04/3.83 | % 14.04/3.83 | Equations (462) can reduce 39 to: % 14.04/3.83 | (304) $false % 14.04/3.83 | % 14.04/3.83 |-The branch is then unsatisfiable % 14.04/3.83 |-Branch two: % 14.04/3.83 | (1414) ~ (all_0_41_41 = e4) % 14.04/3.83 | (1415) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_58_58 = e4 % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (116), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (815) all_0_39_39 = e4 % 14.04/3.83 | % 14.04/3.83 | Equations (815) can reduce 294 to: % 14.04/3.83 | (304) $false % 14.04/3.83 | % 14.04/3.83 |-The branch is then unsatisfiable % 14.04/3.83 |-Branch two: % 14.04/3.83 | (294) ~ (all_0_39_39 = e4) % 14.04/3.83 | (1419) all_0_47_47 = e4 | all_0_52_52 = e4 | all_0_55_55 = e4 % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (1415), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (465) all_0_46_46 = e4 % 14.04/3.83 | % 14.04/3.83 | Equations (465) can reduce 1205 to: % 14.04/3.83 | (39) ~ (e4 = e3) % 14.04/3.83 | % 14.04/3.83 | From (465) and (141) follows: % 14.04/3.83 | (1422) op(e0, e4) = all_0_33_33 % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (1419), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (781) all_0_47_47 = e4 % 14.04/3.83 | % 14.04/3.83 | Equations (781) can reduce 656 to: % 14.04/3.83 | (304) $false % 14.04/3.83 | % 14.04/3.83 |-The branch is then unsatisfiable % 14.04/3.83 |-Branch two: % 14.04/3.83 | (656) ~ (all_0_47_47 = e4) % 14.04/3.83 | (1426) all_0_52_52 = e4 | all_0_55_55 = e4 % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (1426), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (642) all_0_52_52 = e4 % 14.04/3.83 | % 14.04/3.83 | Combining equations (437,642) yields a new equation: % 14.04/3.83 | (462) e4 = e3 % 14.04/3.83 | % 14.04/3.83 | Equations (462) can reduce 39 to: % 14.04/3.83 | (304) $false % 14.04/3.83 | % 14.04/3.83 |-The branch is then unsatisfiable % 14.04/3.83 |-Branch two: % 14.04/3.83 | (727) ~ (all_0_52_52 = e4) % 14.04/3.83 | (611) all_0_55_55 = e4 % 14.04/3.83 | % 14.04/3.83 | Equations (611) can reduce 752 to: % 14.04/3.83 | (261) ~ (e4 = e1) % 14.04/3.83 | % 14.04/3.83 | Equations (611) can reduce 930 to: % 14.04/3.83 | (12) ~ (e4 = e0) % 14.04/3.83 | % 14.04/3.83 | From (611) and (37) follows: % 14.04/3.83 | (1434) op(e0, e4) = all_0_15_15 % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (140), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (658) all_0_47_47 = e1 % 14.04/3.83 | % 14.04/3.83 | Equations (658) can reduce 208 to: % 14.04/3.83 | (1387) ~ (e3 = e1) % 14.04/3.83 | % 14.04/3.83 | Simplifying 1387 yields: % 14.04/3.83 | (154) ~ (e3 = e1) % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (103), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (370) all_0_47_47 = e0 % 14.04/3.83 | % 14.04/3.83 | Combining equations (658,370) yields a new equation: % 14.04/3.83 | (1135) e1 = e0 % 14.04/3.83 | % 14.04/3.83 | Simplifying 1135 yields: % 14.04/3.83 | (750) e1 = e0 % 14.04/3.83 | % 14.04/3.83 | Equations (750) can reduce 150 to: % 14.04/3.83 | (304) $false % 14.04/3.83 | % 14.04/3.83 |-The branch is then unsatisfiable % 14.04/3.83 |-Branch two: % 14.04/3.83 | (364) ~ (all_0_47_47 = e0) % 14.04/3.83 | (373) all_0_48_48 = e0 | all_0_50_50 = e0 % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (216), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (576) all_0_39_39 = e2 % 14.04/3.83 | % 14.04/3.83 | Equations (576) can reduce 762 to: % 14.04/3.83 | (304) $false % 14.04/3.83 | % 14.04/3.83 |-The branch is then unsatisfiable % 14.04/3.83 |-Branch two: % 14.04/3.83 | (762) ~ (all_0_39_39 = e2) % 14.04/3.83 | (767) all_0_40_40 = e2 | all_0_41_41 = e2 % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (115), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (770) all_0_40_40 = e2 % 14.04/3.83 | % 14.04/3.83 | Equations (770) can reduce 94 to: % 14.04/3.83 | (63) ~ (e2 = e0) % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (178), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (317) all_0_38_38 = e0 % 14.04/3.83 | % 14.04/3.83 | Combining equations (292,317) yields a new equation: % 14.04/3.83 | (318) e4 = e0 % 14.04/3.83 | % 14.04/3.83 | Simplifying 318 yields: % 14.04/3.83 | (319) e4 = e0 % 14.04/3.83 | % 14.04/3.83 | Equations (319) can reduce 12 to: % 14.04/3.83 | (304) $false % 14.04/3.83 | % 14.04/3.83 |-The branch is then unsatisfiable % 14.04/3.83 |-Branch two: % 14.04/3.83 | (291) ~ (all_0_38_38 = e0) % 14.04/3.83 | (322) all_0_39_39 = e0 | all_0_41_41 = e0 % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (373), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (341) all_0_48_48 = e0 % 14.04/3.83 | % 14.04/3.83 | Combining equations (264,341) yields a new equation: % 14.04/3.83 | (342) e2 = e0 % 14.04/3.83 | % 14.04/3.83 | Simplifying 342 yields: % 14.04/3.83 | (343) e2 = e0 % 14.04/3.83 | % 14.04/3.83 | Equations (343) can reduce 63 to: % 14.04/3.83 | (304) $false % 14.04/3.83 | % 14.04/3.83 |-The branch is then unsatisfiable % 14.04/3.83 |-Branch two: % 14.04/3.83 | (263) ~ (all_0_48_48 = e0) % 14.04/3.83 | (379) all_0_50_50 = e0 % 14.04/3.83 | % 14.04/3.83 | Equations (379) can reduce 25 to: % 14.04/3.83 | (1462) ~ (e3 = e0) % 14.04/3.83 | % 14.04/3.83 | Simplifying 1462 yields: % 14.04/3.83 | (78) ~ (e3 = e0) % 14.04/3.83 | % 14.04/3.83 | From (379) and (97) follows: % 14.04/3.83 | (1146) op(e2, e0) = all_0_36_36 % 14.04/3.83 | % 14.04/3.83 | From (379) and (79) follows: % 14.04/3.83 | (1147) op(e2, e0) = e0 % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (322), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (323) all_0_39_39 = e0 % 14.04/3.83 | % 14.04/3.83 | From (323) and (184) follows: % 14.04/3.83 | (1467) op(e4, e3) = e0 % 14.04/3.83 | % 14.04/3.83 | Instantiating formula (180) with e4, e3, e0, all_0_32_32 and discharging atoms op(e4, e3) = all_0_32_32, op(e4, e3) = e0, yields: % 14.04/3.83 | (1160) all_0_32_32 = e0 % 14.04/3.83 | % 14.04/3.83 | Instantiating formula (180) with e2, e0, all_0_36_36, all_0_21_21 and discharging atoms op(e2, e0) = all_0_21_21, op(e2, e0) = all_0_36_36, yields: % 14.04/3.83 | (1158) all_0_21_21 = all_0_36_36 % 14.04/3.83 | % 14.04/3.83 | Instantiating formula (180) with e2, e0, e0, all_0_21_21 and discharging atoms op(e2, e0) = all_0_21_21, op(e2, e0) = e0, yields: % 14.04/3.83 | (1159) all_0_21_21 = e0 % 14.04/3.83 | % 14.04/3.83 | Instantiating formula (180) with e0, e4, all_0_33_33, all_0_15_15 and discharging atoms op(e0, e4) = all_0_15_15, op(e0, e4) = all_0_33_33, yields: % 14.04/3.83 | (1471) all_0_15_15 = all_0_33_33 % 14.04/3.83 | % 14.04/3.83 | Instantiating formula (180) with e0, e4, e1, all_0_15_15 and discharging atoms op(e0, e4) = all_0_15_15, op(e0, e4) = e1, yields: % 14.04/3.83 | (1472) all_0_15_15 = e1 % 14.04/3.83 | % 14.04/3.83 | Combining equations (1472,1471) yields a new equation: % 14.04/3.83 | (1473) all_0_33_33 = e1 % 14.04/3.83 | % 14.04/3.83 | Combining equations (1159,1158) yields a new equation: % 14.04/3.83 | (1162) all_0_36_36 = e0 % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (172), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (1163) (all_0_31_31 = e4 & ~ (all_0_32_32 = e0)) | (all_0_33_33 = e3 & ~ (all_0_34_34 = e0)) % 14.04/3.83 | % 14.04/3.83 +-Applying beta-rule and splitting (1163), into two cases. % 14.04/3.83 |-Branch one: % 14.04/3.83 | (1164) all_0_31_31 = e4 & ~ (all_0_32_32 = e0) % 14.04/3.83 | % 14.04/3.83 | Applying alpha-rule on (1164) yields: % 14.04/3.83 | (1165) all_0_31_31 = e4 % 14.04/3.83 | (1166) ~ (all_0_32_32 = e0) % 14.04/3.83 | % 14.04/3.83 | Equations (1160) can reduce 1166 to: % 14.04/3.83 | (304) $false % 14.04/3.83 | % 14.04/3.83 |-The branch is then unsatisfiable % 14.04/3.83 |-Branch two: % 14.04/3.83 | (1168) all_0_33_33 = e3 & ~ (all_0_34_34 = e0) % 14.04/3.84 | % 14.04/3.84 | Applying alpha-rule on (1168) yields: % 14.04/3.84 | (1169) all_0_33_33 = e3 % 14.04/3.84 | (1170) ~ (all_0_34_34 = e0) % 14.04/3.84 | % 14.04/3.84 | Combining equations (1473,1169) yields a new equation: % 14.04/3.84 | (1398) e3 = e1 % 14.04/3.84 | % 14.04/3.84 | Equations (1398) can reduce 154 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (1172) all_0_35_35 = e2 & ~ (all_0_36_36 = e0) % 14.04/3.84 | % 14.04/3.84 | Applying alpha-rule on (1172) yields: % 14.04/3.84 | (1173) all_0_35_35 = e2 % 14.04/3.84 | (1174) ~ (all_0_36_36 = e0) % 14.04/3.84 | % 14.04/3.84 | Equations (1162) can reduce 1174 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (351) ~ (all_0_39_39 = e0) % 14.04/3.84 | (356) all_0_41_41 = e0 % 14.04/3.84 | % 14.04/3.84 | Combining equations (356,1120) yields a new equation: % 14.04/3.84 | (572) e3 = e0 % 14.04/3.84 | % 14.04/3.84 | Equations (572) can reduce 78 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (832) ~ (all_0_40_40 = e2) % 14.04/3.84 | (1494) all_0_45_45 = e2 | all_0_49_49 = e2 | all_0_57_57 = e2 % 14.04/3.84 | % 14.04/3.84 +-Applying beta-rule and splitting (70), into two cases. % 14.04/3.84 |-Branch one: % 14.04/3.84 | (770) all_0_40_40 = e2 % 14.04/3.84 | % 14.04/3.84 | Equations (770) can reduce 832 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (832) ~ (all_0_40_40 = e2) % 14.04/3.84 | (1104) all_0_40_40 = e4 | all_0_40_40 = e3 % 14.04/3.84 | % 14.04/3.84 +-Applying beta-rule and splitting (767), into two cases. % 14.04/3.84 |-Branch one: % 14.04/3.84 | (770) all_0_40_40 = e2 % 14.04/3.84 | % 14.04/3.84 | Equations (770) can reduce 832 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (832) ~ (all_0_40_40 = e2) % 14.04/3.84 | (539) all_0_41_41 = e2 % 14.04/3.84 | % 14.04/3.84 | Combining equations (539,1120) yields a new equation: % 14.04/3.84 | (760) e3 = e2 % 14.04/3.84 | % 14.04/3.84 | Equations (760) can reduce 228 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (717) ~ (all_0_47_47 = e1) % 14.04/3.84 | (709) all_0_49_49 = e1 % 14.04/3.84 | % 14.04/3.84 | Combining equations (654,709) yields a new equation: % 14.04/3.84 | (710) e4 = e1 % 14.04/3.84 | % 14.04/3.84 | Simplifying 710 yields: % 14.04/3.84 | (607) e4 = e1 % 14.04/3.84 | % 14.04/3.84 | Equations (607) can reduce 261 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (403) ~ (all_0_46_46 = e4) % 14.04/3.84 | (1511) all_0_50_50 = e4 | all_0_58_58 = e4 % 14.04/3.84 | % 14.04/3.84 +-Applying beta-rule and splitting (1511), into two cases. % 14.04/3.84 |-Branch one: % 14.04/3.84 | (496) all_0_50_50 = e4 % 14.04/3.84 | % 14.04/3.84 | Equations (496) can reduce 488 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (488) ~ (all_0_50_50 = e4) % 14.04/3.84 | (307) all_0_58_58 = e4 % 14.04/3.84 | % 14.04/3.84 | Combining equations (307,303) yields a new equation: % 14.04/3.84 | (724) e4 = e2 % 14.04/3.84 | % 14.04/3.84 | Simplifying 724 yields: % 14.04/3.84 | (540) e4 = e2 % 14.04/3.84 | % 14.04/3.84 | Equations (540) can reduce 239 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (722) ~ (all_0_49_49 = e4) % 14.04/3.84 | (709) all_0_49_49 = e1 % 14.04/3.84 | % 14.04/3.84 | Equations (709) can reduce 713 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (289) ~ (all_0_58_58 = e2) % 14.04/3.84 | (306) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e0 % 14.04/3.84 | % 14.04/3.84 +-Applying beta-rule and splitting (99), into two cases. % 14.04/3.84 |-Branch one: % 14.04/3.84 | (539) all_0_41_41 = e2 % 14.04/3.84 | % 14.04/3.84 | Combining equations (539,1120) yields a new equation: % 14.04/3.84 | (760) e3 = e2 % 14.04/3.84 | % 14.04/3.84 | Equations (760) can reduce 228 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (542) ~ (all_0_41_41 = e2) % 14.04/3.84 | (543) all_0_46_46 = e2 | all_0_50_50 = e2 | all_0_58_58 = e2 % 14.04/3.84 | % 14.04/3.84 +-Applying beta-rule and splitting (543), into two cases. % 14.04/3.84 |-Branch one: % 14.04/3.84 | (544) all_0_46_46 = e2 % 14.04/3.84 | % 14.04/3.84 | Equations (544) can reduce 839 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (839) ~ (all_0_46_46 = e2) % 14.04/3.84 | (840) all_0_50_50 = e2 | all_0_58_58 = e2 % 14.04/3.84 | % 14.04/3.84 +-Applying beta-rule and splitting (840), into two cases. % 14.04/3.84 |-Branch one: % 14.04/3.84 | (492) all_0_50_50 = e2 % 14.04/3.84 | % 14.04/3.84 | Equations (492) can reduce 269 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (269) ~ (all_0_50_50 = e2) % 14.04/3.84 | (303) all_0_58_58 = e2 % 14.04/3.84 | % 14.04/3.84 | Equations (303) can reduce 289 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (348) ~ (all_0_42_42 = e0) % 14.04/3.84 | (349) all_0_54_54 = e0 % 14.04/3.84 | % 14.04/3.84 | Equations (349) can reduce 313 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (476) ~ (all_0_38_38 = e4) % 14.04/3.84 | (317) all_0_38_38 = e0 % 14.04/3.84 | % 14.04/3.84 | Equations (317) can reduce 291 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (317) all_0_38_38 = e0 % 14.04/3.84 | (480) all_0_41_41 = e4 % 14.04/3.84 | % 14.04/3.84 | Combining equations (480,1120) yields a new equation: % 14.04/3.84 | (461) e4 = e3 % 14.04/3.84 | % 14.04/3.84 | Simplifying 461 yields: % 14.04/3.84 | (462) e4 = e3 % 14.04/3.84 | % 14.04/3.84 | Equations (462) can reduce 39 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (1123) ~ (all_0_41_41 = e3) % 14.04/3.84 | (1124) all_0_46_46 = e3 | all_0_58_58 = e3 % 14.04/3.84 | % 14.04/3.84 +-Applying beta-rule and splitting (1124), into two cases. % 14.04/3.84 |-Branch one: % 14.04/3.84 | (924) all_0_46_46 = e3 % 14.04/3.84 | % 14.04/3.84 | Equations (924) can reduce 1205 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (1205) ~ (all_0_46_46 = e3) % 14.04/3.84 | (359) all_0_58_58 = e3 % 14.04/3.84 | % 14.04/3.84 | Equations (359) can reduce 302 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (359) all_0_58_58 = e3 % 14.04/3.84 | (362) all_0_55_55 = e0 % 14.04/3.84 | % 14.04/3.84 | Equations (362) can reduce 930 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (314) ~ (all_0_56_56 = e0) % 14.04/3.84 | (454) all_0_56_56 = e3 % 14.04/3.84 | % 14.04/3.84 | Equations (454) can reduce 442 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (436) ~ (all_0_52_52 = e3) % 14.04/3.84 | (440) all_0_53_53 = e3 % 14.04/3.84 | % 14.04/3.84 | Equations (440) can reduce 836 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (1565) ~ (all_0_51_51 = e2) % 14.04/3.84 | (627) all_0_51_51 = e4 % 14.04/3.84 | % 14.04/3.84 | Equations (627) can reduce 152 to: % 14.04/3.84 | (476) ~ (all_0_38_38 = e4) % 14.04/3.84 | % 14.04/3.84 | Equations (627) can reduce 194 to: % 14.04/3.84 | (296) ~ (all_0_42_42 = e4) % 14.04/3.84 | % 14.04/3.84 | Equations (627) can reduce 108 to: % 14.04/3.84 | (1569) ~ (all_0_52_52 = e4) % 14.04/3.84 | % 14.04/3.84 | Simplifying 1569 yields: % 14.04/3.84 | (727) ~ (all_0_52_52 = e4) % 14.04/3.84 | % 14.04/3.84 | Equations (627) can reduce 211 to: % 14.04/3.84 | (297) ~ (all_0_54_54 = e4) % 14.04/3.84 | % 14.04/3.84 | Simplifying 297 yields: % 14.04/3.84 | (298) ~ (all_0_54_54 = e4) % 14.04/3.84 | % 14.04/3.84 | Equations (627) can reduce 1565 to: % 14.04/3.84 | (239) ~ (e4 = e2) % 14.04/3.84 | % 14.04/3.84 +-Applying beta-rule and splitting (197), into two cases. % 14.04/3.84 |-Branch one: % 14.04/3.84 | (292) all_0_38_38 = e4 % 14.04/3.84 | % 14.04/3.84 | Equations (292) can reduce 476 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (476) ~ (all_0_38_38 = e4) % 14.04/3.84 | (317) all_0_38_38 = e0 % 14.04/3.84 | % 14.04/3.84 | Equations (317) can reduce 202 to: % 14.04/3.84 | (481) ~ (all_0_39_39 = e0) % 14.04/3.84 | % 14.04/3.84 | Simplifying 481 yields: % 14.04/3.84 | (351) ~ (all_0_39_39 = e0) % 14.04/3.84 | % 14.04/3.84 | Equations (317) can reduce 27 to: % 14.04/3.84 | (1580) ~ (all_0_42_42 = e0) % 14.04/3.84 | % 14.04/3.84 | Simplifying 1580 yields: % 14.04/3.84 | (348) ~ (all_0_42_42 = e0) % 14.04/3.84 | % 14.04/3.84 +-Applying beta-rule and splitting (82), into two cases. % 14.04/3.84 |-Branch one: % 14.04/3.84 | (291) ~ (all_0_38_38 = e0) % 14.04/3.84 | % 14.04/3.84 | Equations (317) can reduce 291 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (317) all_0_38_38 = e0 % 14.04/3.84 | (480) all_0_41_41 = e4 % 14.04/3.84 | % 14.04/3.84 | Equations (480) can reduce 138 to: % 14.04/3.84 | (294) ~ (all_0_39_39 = e4) % 14.04/3.84 | % 14.04/3.84 | Equations (480) can reduce 258 to: % 14.04/3.84 | (484) ~ (all_0_40_40 = e4) % 14.04/3.84 | % 14.04/3.84 | Equations (480) can reduce 55 to: % 14.04/3.84 | (485) ~ (all_0_46_46 = e4) % 14.04/3.84 | % 14.04/3.84 | Simplifying 485 yields: % 14.04/3.84 | (403) ~ (all_0_46_46 = e4) % 14.04/3.84 | % 14.04/3.84 | Equations (480) can reduce 174 to: % 14.04/3.84 | (487) ~ (all_0_50_50 = e4) % 14.04/3.84 | % 14.04/3.84 | Simplifying 487 yields: % 14.04/3.84 | (488) ~ (all_0_50_50 = e4) % 14.04/3.84 | % 14.04/3.84 | Equations (480) can reduce 143 to: % 14.04/3.84 | (489) ~ (all_0_58_58 = e4) % 14.04/3.84 | % 14.04/3.84 | Simplifying 489 yields: % 14.04/3.84 | (301) ~ (all_0_58_58 = e4) % 14.04/3.84 | % 14.04/3.84 | From (480) and (73) follows: % 14.04/3.84 | (1594) op(e0, e4) = all_0_31_31 % 14.04/3.84 | % 14.04/3.84 +-Applying beta-rule and splitting (49), into two cases. % 14.04/3.84 |-Branch one: % 14.04/3.84 | (276) all_0_51_51 = e2 % 14.04/3.84 | % 14.04/3.84 | Combining equations (276,627) yields a new equation: % 14.04/3.84 | (540) e4 = e2 % 14.04/3.84 | % 14.04/3.84 | Equations (540) can reduce 239 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (1565) ~ (all_0_51_51 = e2) % 14.04/3.84 | (1599) all_0_52_52 = e2 | all_0_53_53 = e2 % 14.04/3.84 | % 14.04/3.84 +-Applying beta-rule and splitting (1599), into two cases. % 14.04/3.84 |-Branch one: % 14.04/3.84 | (772) all_0_52_52 = e2 % 14.04/3.84 | % 14.04/3.84 | Equations (772) can reduce 98 to: % 14.04/3.84 | (762) ~ (all_0_39_39 = e2) % 14.04/3.84 | % 14.04/3.84 | Equations (772) can reduce 236 to: % 14.04/3.84 | (288) ~ (all_0_43_43 = e2) % 14.04/3.84 | % 14.04/3.84 | Equations (772) can reduce 727 to: % 14.04/3.84 | (274) ~ (e4 = e2) % 14.04/3.84 | % 14.04/3.84 | Simplifying 274 yields: % 14.04/3.84 | (239) ~ (e4 = e2) % 14.04/3.84 | % 14.04/3.84 +-Applying beta-rule and splitting (11), into two cases. % 14.04/3.84 |-Branch one: % 14.04/3.84 | (576) all_0_39_39 = e2 % 14.04/3.84 | % 14.04/3.84 | Equations (576) can reduce 762 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (762) ~ (all_0_39_39 = e2) % 14.04/3.84 | (814) all_0_39_39 = e4 | all_0_39_39 = e3 | all_0_39_39 = e0 % 14.04/3.84 | % 14.04/3.84 +-Applying beta-rule and splitting (814), into two cases. % 14.04/3.84 |-Branch one: % 14.04/3.84 | (815) all_0_39_39 = e4 % 14.04/3.84 | % 14.04/3.84 | Equations (815) can reduce 294 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (294) ~ (all_0_39_39 = e4) % 14.04/3.84 | (818) all_0_39_39 = e3 | all_0_39_39 = e0 % 14.04/3.84 | % 14.04/3.84 +-Applying beta-rule and splitting (818), into two cases. % 14.04/3.84 |-Branch one: % 14.04/3.84 | (323) all_0_39_39 = e0 % 14.04/3.84 | % 14.04/3.84 | Equations (323) can reduce 351 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (351) ~ (all_0_39_39 = e0) % 14.04/3.84 | (786) all_0_39_39 = e3 % 14.04/3.84 | % 14.04/3.84 | Equations (786) can reduce 762 to: % 14.04/3.84 | (228) ~ (e3 = e2) % 14.04/3.84 | % 14.04/3.84 +-Applying beta-rule and splitting (70), into two cases. % 14.04/3.84 |-Branch one: % 14.04/3.84 | (770) all_0_40_40 = e2 % 14.04/3.84 | % 14.04/3.84 | Equations (770) can reduce 15 to: % 14.04/3.84 | (1619) ~ (all_0_45_45 = e2) % 14.04/3.84 | % 14.04/3.84 | Simplifying 1619 yields: % 14.04/3.84 | (601) ~ (all_0_45_45 = e2) % 14.04/3.84 | % 14.04/3.84 | Equations (770) can reduce 118 to: % 14.04/3.84 | (266) ~ (all_0_49_49 = e2) % 14.04/3.84 | % 14.04/3.84 | Simplifying 266 yields: % 14.04/3.84 | (267) ~ (all_0_49_49 = e2) % 14.04/3.84 | % 14.04/3.84 | Equations (770) can reduce 484 to: % 14.04/3.84 | (274) ~ (e4 = e2) % 14.04/3.84 | % 14.04/3.84 | Simplifying 274 yields: % 14.04/3.84 | (239) ~ (e4 = e2) % 14.04/3.84 | % 14.04/3.84 | Equations (770) can reduce 229 to: % 14.04/3.84 | (157) ~ (e2 = e1) % 14.04/3.84 | % 14.04/3.84 +-Applying beta-rule and splitting (71), into two cases. % 14.04/3.84 |-Branch one: % 14.04/3.84 | (492) all_0_50_50 = e2 % 14.04/3.84 | % 14.04/3.84 | Equations (492) can reduce 269 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (269) ~ (all_0_50_50 = e2) % 14.04/3.84 | (495) all_0_50_50 = e4 | all_0_50_50 = e0 % 14.04/3.84 | % 14.04/3.84 +-Applying beta-rule and splitting (495), into two cases. % 14.04/3.84 |-Branch one: % 14.04/3.84 | (496) all_0_50_50 = e4 % 14.04/3.84 | % 14.04/3.84 | Equations (496) can reduce 488 to: % 14.04/3.84 | (304) $false % 14.04/3.84 | % 14.04/3.84 |-The branch is then unsatisfiable % 14.04/3.84 |-Branch two: % 14.04/3.84 | (488) ~ (all_0_50_50 = e4) % 14.04/3.84 | (379) all_0_50_50 = e0 % 14.04/3.84 | % 14.04/3.84 | Equations (379) can reduce 87 to: % 14.04/3.84 | (1634) ~ (all_0_46_46 = e0) % 14.04/3.84 | % 14.04/3.84 | Equations (379) can reduce 134 to: % 14.04/3.84 | (364) ~ (all_0_47_47 = e0) % 14.04/3.84 | % 14.04/3.84 | Equations (379) can reduce 13 to: % 14.04/3.84 | (525) ~ (all_0_58_58 = e0) % 14.04/3.84 | % 14.04/3.84 | Simplifying 525 yields: % 14.04/3.84 | (358) ~ (all_0_58_58 = e0) % 14.04/3.84 | % 14.04/3.84 | From (379) and (97) follows: % 14.04/3.84 | (1146) op(e2, e0) = all_0_36_36 % 14.04/3.85 | % 14.04/3.85 | From (379) and (79) follows: % 14.04/3.85 | (1147) op(e2, e0) = e0 % 14.04/3.85 | % 14.04/3.85 | Instantiating formula (180) with e2, e0, e0, all_0_36_36 and discharging atoms op(e2, e0) = all_0_36_36, op(e2, e0) = e0, yields: % 14.04/3.85 | (1162) all_0_36_36 = e0 % 14.04/3.85 | % 14.04/3.85 | Instantiating formula (180) with e0, e4, all_0_31_31, all_0_54_54 and discharging atoms op(e0, e4) = all_0_31_31, op(e0, e4) = all_0_54_54, yields: % 14.04/3.85 | (1641) all_0_31_31 = all_0_54_54 % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (172), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (1163) (all_0_31_31 = e4 & ~ (all_0_32_32 = e0)) | (all_0_33_33 = e3 & ~ (all_0_34_34 = e0)) % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (1163), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (1164) all_0_31_31 = e4 & ~ (all_0_32_32 = e0) % 14.04/3.85 | % 14.04/3.85 | Applying alpha-rule on (1164) yields: % 14.04/3.85 | (1165) all_0_31_31 = e4 % 14.04/3.85 | (1166) ~ (all_0_32_32 = e0) % 14.04/3.85 | % 14.04/3.85 | Combining equations (1165,1641) yields a new equation: % 14.04/3.85 | (606) all_0_54_54 = e4 % 14.04/3.85 | % 14.04/3.85 | Equations (606) can reduce 298 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (1168) all_0_33_33 = e3 & ~ (all_0_34_34 = e0) % 14.04/3.85 | % 14.04/3.85 | Applying alpha-rule on (1168) yields: % 14.04/3.85 | (1169) all_0_33_33 = e3 % 14.04/3.85 | (1170) ~ (all_0_34_34 = e0) % 14.04/3.85 | % 14.04/3.85 | From (1169) and (141) follows: % 14.04/3.85 | (1651) op(e0, all_0_46_46) = e3 % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (252), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (289) ~ (all_0_58_58 = e2) % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (260), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (586) all_0_54_54 = e2 % 14.04/3.85 | % 14.04/3.85 | Equations (586) can reduce 137 to: % 14.04/3.85 | (277) ~ (all_0_42_42 = e2) % 14.04/3.85 | % 14.04/3.85 | Equations (586) can reduce 168 to: % 14.04/3.85 | (547) ~ (all_0_58_58 = e2) % 14.04/3.85 | % 14.04/3.85 | Simplifying 547 yields: % 14.04/3.85 | (289) ~ (all_0_58_58 = e2) % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (62), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (632) all_0_42_42 = e2 % 14.04/3.85 | % 14.04/3.85 | Equations (632) can reduce 277 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (277) ~ (all_0_42_42 = e2) % 14.04/3.85 | (848) all_0_43_43 = e2 | all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2 % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (205), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (736) all_0_42_42 = e1 % 14.04/3.85 | % 14.04/3.85 | Equations (736) can reduce 156 to: % 14.04/3.85 | (1662) ~ (all_0_43_43 = e1) % 14.04/3.85 | % 14.04/3.85 | Simplifying 1662 yields: % 14.04/3.85 | (425) ~ (all_0_43_43 = e1) % 14.04/3.85 | % 14.04/3.85 | Equations (736) can reduce 348 to: % 14.04/3.85 | (150) ~ (e1 = e0) % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (848), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (426) all_0_43_43 = e2 % 14.04/3.85 | % 14.04/3.85 | Equations (426) can reduce 288 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (288) ~ (all_0_43_43 = e2) % 14.04/3.85 | (852) all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2 % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (75), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (303) all_0_58_58 = e2 % 14.04/3.85 | % 14.04/3.85 | Equations (303) can reduce 289 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (289) ~ (all_0_58_58 = e2) % 14.04/3.85 | (306) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e0 % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (306), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (307) all_0_58_58 = e4 % 14.04/3.85 | % 14.04/3.85 | Equations (307) can reduce 301 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (301) ~ (all_0_58_58 = e4) % 14.04/3.85 | (310) all_0_58_58 = e3 | all_0_58_58 = e0 % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (310), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (311) all_0_58_58 = e0 % 14.04/3.85 | % 14.04/3.85 | Equations (311) can reduce 358 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (358) ~ (all_0_58_58 = e0) % 14.04/3.85 | (359) all_0_58_58 = e3 % 14.04/3.85 | % 14.04/3.85 | Equations (359) can reduce 245 to: % 14.04/3.85 | (1115) ~ (all_0_57_57 = e3) % 14.04/3.85 | % 14.04/3.85 | Equations (359) can reduce 289 to: % 14.04/3.85 | (228) ~ (e3 = e2) % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (54), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (302) ~ (all_0_58_58 = e3) % 14.04/3.85 | % 14.04/3.85 | Equations (359) can reduce 302 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (359) all_0_58_58 = e3 % 14.04/3.85 | (362) all_0_55_55 = e0 % 14.04/3.85 | % 14.04/3.85 | Equations (362) can reduce 64 to: % 14.04/3.85 | (290) ~ (all_0_43_43 = e0) % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (30), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (332) all_0_42_42 = e0 % 14.04/3.85 | % 14.04/3.85 | Combining equations (736,332) yields a new equation: % 14.04/3.85 | (1135) e1 = e0 % 14.04/3.85 | % 14.04/3.85 | Simplifying 1135 yields: % 14.04/3.85 | (750) e1 = e0 % 14.04/3.85 | % 14.04/3.85 | Equations (750) can reduce 150 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (348) ~ (all_0_42_42 = e0) % 14.04/3.85 | (1693) all_0_43_43 = e0 | all_0_44_44 = e0 | all_0_46_46 = e0 % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (1693), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (430) all_0_43_43 = e0 % 14.04/3.85 | % 14.04/3.85 | Equations (430) can reduce 290 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (290) ~ (all_0_43_43 = e0) % 14.04/3.85 | (1697) all_0_44_44 = e0 | all_0_46_46 = e0 % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (1697), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (337) all_0_44_44 = e0 % 14.04/3.85 | % 14.04/3.85 | Equations (337) can reduce 173 to: % 14.04/3.85 | (290) ~ (all_0_43_43 = e0) % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (235), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (457) all_0_43_43 = e1 % 14.04/3.85 | % 14.04/3.85 | Equations (457) can reduce 425 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (425) ~ (all_0_43_43 = e1) % 14.04/3.85 | (1238) all_0_47_47 = e1 | all_0_55_55 = e1 % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (230), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (1113) all_0_40_40 = e3 % 14.04/3.85 | % 14.04/3.85 | Combining equations (770,1113) yields a new equation: % 14.04/3.85 | (760) e3 = e2 % 14.04/3.85 | % 14.04/3.85 | Equations (760) can reduce 228 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (1337) ~ (all_0_40_40 = e3) % 14.04/3.85 | (1354) all_0_45_45 = e3 | all_0_57_57 = e3 % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (1354), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (460) all_0_45_45 = e3 % 14.04/3.85 | % 14.04/3.85 | Equations (460) can reduce 204 to: % 14.04/3.85 | (456) ~ (all_0_43_43 = e3) % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (95), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (426) all_0_43_43 = e2 % 14.04/3.85 | % 14.04/3.85 | Equations (426) can reduce 288 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (288) ~ (all_0_43_43 = e2) % 14.04/3.85 | (429) all_0_43_43 = e3 | all_0_43_43 = e1 | all_0_43_43 = e0 % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (429), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (430) all_0_43_43 = e0 % 14.04/3.85 | % 14.04/3.85 | Equations (430) can reduce 290 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (290) ~ (all_0_43_43 = e0) % 14.04/3.85 | (433) all_0_43_43 = e3 | all_0_43_43 = e1 % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (433), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (434) all_0_43_43 = e3 % 14.04/3.85 | % 14.04/3.85 | Equations (434) can reduce 456 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (456) ~ (all_0_43_43 = e3) % 14.04/3.85 | (457) all_0_43_43 = e1 % 14.04/3.85 | % 14.04/3.85 | Equations (457) can reduce 425 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (1400) ~ (all_0_45_45 = e3) % 14.04/3.85 | (1190) all_0_57_57 = e3 % 14.04/3.85 | % 14.04/3.85 | Equations (1190) can reduce 1115 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (334) ~ (all_0_44_44 = e0) % 14.04/3.85 | (1728) all_0_46_46 = e0 % 14.04/3.85 | % 14.04/3.85 | Equations (1728) can reduce 1634 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (605) ~ (all_0_42_42 = e1) % 14.04/3.85 | (604) all_0_54_54 = e1 % 14.04/3.85 | % 14.04/3.85 | Combining equations (604,586) yields a new equation: % 14.04/3.85 | (695) e2 = e1 % 14.04/3.85 | % 14.04/3.85 | Equations (695) can reduce 157 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (283) ~ (all_0_54_54 = e2) % 14.04/3.85 | (589) all_0_55_55 = e2 | all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2 % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (234), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (632) all_0_42_42 = e2 % 14.04/3.85 | % 14.04/3.85 | Equations (632) can reduce 147 to: % 14.04/3.85 | (1060) ~ (all_0_46_46 = e2) % 14.04/3.85 | % 14.04/3.85 | Simplifying 1060 yields: % 14.04/3.85 | (839) ~ (all_0_46_46 = e2) % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (6), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (544) all_0_46_46 = e2 % 14.04/3.85 | % 14.04/3.85 | Equations (544) can reduce 839 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (839) ~ (all_0_46_46 = e2) % 14.04/3.85 | (1742) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e0 % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (1742), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (465) all_0_46_46 = e4 % 14.04/3.85 | % 14.04/3.85 | Equations (465) can reduce 403 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (403) ~ (all_0_46_46 = e4) % 14.04/3.85 | (1746) all_0_46_46 = e3 | all_0_46_46 = e0 % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (75), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (303) all_0_58_58 = e2 % 14.04/3.85 | % 14.04/3.85 | Equations (303) can reduce 289 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (289) ~ (all_0_58_58 = e2) % 14.04/3.85 | (306) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e0 % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (1746), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (1728) all_0_46_46 = e0 % 14.04/3.85 | % 14.04/3.85 | Equations (1728) can reduce 1634 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (1634) ~ (all_0_46_46 = e0) % 14.04/3.85 | (924) all_0_46_46 = e3 % 14.04/3.85 | % 14.04/3.85 | Equations (924) can reduce 240 to: % 14.04/3.85 | (1400) ~ (all_0_45_45 = e3) % 14.04/3.85 | % 14.04/3.85 | Equations (924) can reduce 839 to: % 14.04/3.85 | (228) ~ (e3 = e2) % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (230), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (1113) all_0_40_40 = e3 % 14.04/3.85 | % 14.04/3.85 | Combining equations (770,1113) yields a new equation: % 14.04/3.85 | (760) e3 = e2 % 14.04/3.85 | % 14.04/3.85 | Equations (760) can reduce 228 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (1337) ~ (all_0_40_40 = e3) % 14.04/3.85 | (1354) all_0_45_45 = e3 | all_0_57_57 = e3 % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (1354), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (460) all_0_45_45 = e3 % 14.04/3.85 | % 14.04/3.85 | Equations (460) can reduce 1400 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (1400) ~ (all_0_45_45 = e3) % 14.04/3.85 | (1190) all_0_57_57 = e3 % 14.04/3.85 | % 14.04/3.85 | Equations (1190) can reduce 245 to: % 14.04/3.85 | (933) ~ (all_0_58_58 = e3) % 14.04/3.85 | % 14.04/3.85 | Simplifying 933 yields: % 14.04/3.85 | (302) ~ (all_0_58_58 = e3) % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (306), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (307) all_0_58_58 = e4 % 14.04/3.85 | % 14.04/3.85 | Equations (307) can reduce 301 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (301) ~ (all_0_58_58 = e4) % 14.04/3.85 | (310) all_0_58_58 = e3 | all_0_58_58 = e0 % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (310), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (311) all_0_58_58 = e0 % 14.04/3.85 | % 14.04/3.85 | Equations (311) can reduce 358 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (358) ~ (all_0_58_58 = e0) % 14.04/3.85 | (359) all_0_58_58 = e3 % 14.04/3.85 | % 14.04/3.85 | Equations (359) can reduce 302 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (277) ~ (all_0_42_42 = e2) % 14.04/3.85 | (1778) all_0_51_51 = e2 | all_0_54_54 = e2 % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (99), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (539) all_0_41_41 = e2 % 14.04/3.85 | % 14.04/3.85 | Combining equations (480,539) yields a new equation: % 14.04/3.85 | (724) e4 = e2 % 14.04/3.85 | % 14.04/3.85 | Simplifying 724 yields: % 14.04/3.85 | (540) e4 = e2 % 14.04/3.85 | % 14.04/3.85 | Equations (540) can reduce 239 to: % 14.04/3.85 | (304) $false % 14.04/3.85 | % 14.04/3.85 |-The branch is then unsatisfiable % 14.04/3.85 |-Branch two: % 14.04/3.85 | (542) ~ (all_0_41_41 = e2) % 14.04/3.85 | (543) all_0_46_46 = e2 | all_0_50_50 = e2 | all_0_58_58 = e2 % 14.04/3.85 | % 14.04/3.85 | Equations (480) can reduce 542 to: % 14.04/3.85 | (239) ~ (e4 = e2) % 14.04/3.85 | % 14.04/3.85 +-Applying beta-rule and splitting (1778), into two cases. % 14.04/3.85 |-Branch one: % 14.04/3.85 | (276) all_0_51_51 = e2 % 14.04/3.85 | % 14.04/3.85 | Combining equations (627,276) yields a new equation: % 14.04/3.85 | (724) e4 = e2 % 14.04/3.85 | % 14.04/3.85 | Simplifying 724 yields: % 14.04/3.85 | (540) e4 = e2 % 14.04/3.86 | % 14.04/3.86 | Equations (540) can reduce 239 to: % 14.04/3.86 | (304) $false % 14.04/3.86 | % 14.04/3.86 |-The branch is then unsatisfiable % 14.04/3.86 |-Branch two: % 14.04/3.86 | (1565) ~ (all_0_51_51 = e2) % 14.04/3.86 | (586) all_0_54_54 = e2 % 14.04/3.86 | % 14.04/3.86 | Equations (586) can reduce 283 to: % 14.04/3.86 | (304) $false % 14.04/3.86 | % 14.04/3.86 |-The branch is then unsatisfiable % 14.04/3.86 |-Branch two: % 14.04/3.86 | (303) all_0_58_58 = e2 % 14.04/3.86 | (346) all_0_56_56 = e0 % 14.04/3.86 | % 14.04/3.86 | Equations (303) can reduce 139 to: % 14.04/3.86 | (839) ~ (all_0_46_46 = e2) % 14.04/3.86 | % 14.04/3.86 | Equations (346) can reduce 200 to: % 14.04/3.86 | (313) ~ (all_0_54_54 = e0) % 14.04/3.86 | % 14.04/3.86 | Equations (346) can reduce 107 to: % 14.04/3.86 | (930) ~ (all_0_55_55 = e0) % 14.04/3.86 | % 14.04/3.86 | Equations (303) can reduce 257 to: % 14.04/3.86 | (157) ~ (e2 = e1) % 14.04/3.86 | % 14.04/3.86 +-Applying beta-rule and splitting (62), into two cases. % 14.04/3.86 |-Branch one: % 14.04/3.86 | (632) all_0_42_42 = e2 % 14.04/3.86 | % 14.04/3.86 | Equations (632) can reduce 92 to: % 14.04/3.86 | (1619) ~ (all_0_45_45 = e2) % 14.04/3.86 | % 14.04/3.86 | Simplifying 1619 yields: % 14.04/3.86 | (601) ~ (all_0_45_45 = e2) % 14.04/3.86 | % 14.04/3.86 | Equations (632) can reduce 147 to: % 14.04/3.86 | (1060) ~ (all_0_46_46 = e2) % 14.04/3.86 | % 14.04/3.86 | Simplifying 1060 yields: % 14.04/3.86 | (839) ~ (all_0_46_46 = e2) % 14.04/3.86 | % 14.04/3.86 | Equations (632) can reduce 137 to: % 14.04/3.86 | (282) ~ (all_0_54_54 = e2) % 14.04/3.86 | % 14.04/3.86 | Simplifying 282 yields: % 14.04/3.86 | (283) ~ (all_0_54_54 = e2) % 14.04/3.86 | % 14.04/3.86 | Equations (632) can reduce 296 to: % 14.04/3.86 | (274) ~ (e4 = e2) % 14.04/3.86 | % 14.04/3.86 | Simplifying 274 yields: % 14.04/3.86 | (239) ~ (e4 = e2) % 14.04/3.86 | % 14.04/3.86 +-Applying beta-rule and splitting (176), into two cases. % 14.04/3.86 |-Branch one: % 14.04/3.86 | (586) all_0_54_54 = e2 % 14.04/3.86 | % 14.04/3.86 | Equations (586) can reduce 283 to: % 14.04/3.86 | (304) $false % 14.04/3.86 | % 14.04/3.86 |-The branch is then unsatisfiable % 14.04/3.86 |-Branch two: % 14.04/3.86 | (283) ~ (all_0_54_54 = e2) % 14.04/3.86 | (881) all_0_54_54 = e4 | all_0_54_54 = e1 | all_0_54_54 = e0 % 14.04/3.86 | % 14.04/3.86 +-Applying beta-rule and splitting (6), into two cases. % 14.04/3.86 |-Branch one: % 14.04/3.86 | (544) all_0_46_46 = e2 % 14.04/3.86 | % 14.04/3.86 | Equations (544) can reduce 839 to: % 14.04/3.86 | (304) $false % 14.04/3.86 | % 14.04/3.86 |-The branch is then unsatisfiable % 14.04/3.86 |-Branch two: % 14.04/3.86 | (839) ~ (all_0_46_46 = e2) % 14.04/3.86 | (1742) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e0 % 14.04/3.86 | % 14.04/3.86 +-Applying beta-rule and splitting (881), into two cases. % 14.04/3.86 |-Branch one: % 14.04/3.86 | (606) all_0_54_54 = e4 % 14.04/3.86 | % 14.04/3.86 | Equations (606) can reduce 298 to: % 14.04/3.86 | (304) $false % 14.04/3.86 | % 14.04/3.86 |-The branch is then unsatisfiable % 14.04/3.86 |-Branch two: % 14.04/3.86 | (298) ~ (all_0_54_54 = e4) % 14.04/3.86 | (885) all_0_54_54 = e1 | all_0_54_54 = e0 % 14.04/3.86 | % 14.04/3.86 +-Applying beta-rule and splitting (1742), into two cases. % 14.04/3.86 |-Branch one: % 14.04/3.86 | (465) all_0_46_46 = e4 % 14.04/3.86 | % 14.04/3.86 | Equations (465) can reduce 403 to: % 14.04/3.86 | (304) $false % 14.04/3.86 | % 14.04/3.86 |-The branch is then unsatisfiable % 14.04/3.86 |-Branch two: % 14.04/3.86 | (403) ~ (all_0_46_46 = e4) % 14.04/3.86 | (1746) all_0_46_46 = e3 | all_0_46_46 = e0 % 14.04/3.86 | % 14.04/3.86 +-Applying beta-rule and splitting (1746), into two cases. % 14.04/3.86 |-Branch one: % 14.04/3.86 | (1728) all_0_46_46 = e0 % 14.04/3.86 | % 14.04/3.86 | Equations (1728) can reduce 1634 to: % 14.04/3.86 | (304) $false % 14.04/3.86 | % 14.04/3.86 |-The branch is then unsatisfiable % 14.04/3.86 |-Branch two: % 14.04/3.86 | (1634) ~ (all_0_46_46 = e0) % 14.04/3.86 | (924) all_0_46_46 = e3 % 14.04/3.86 | % 14.04/3.86 | Equations (924) can reduce 240 to: % 14.04/3.86 | (1400) ~ (all_0_45_45 = e3) % 14.04/3.86 | % 14.04/3.86 | Equations (924) can reduce 403 to: % 14.04/3.86 | (566) ~ (e4 = e3) % 14.04/3.86 | % 14.04/3.86 | Simplifying 566 yields: % 14.04/3.86 | (39) ~ (e4 = e3) % 14.04/3.86 | % 14.04/3.86 | Equations (924) can reduce 839 to: % 14.04/3.86 | (228) ~ (e3 = e2) % 14.04/3.86 | % 14.04/3.86 | Equations (924) can reduce 1634 to: % 14.04/3.86 | (78) ~ (e3 = e0) % 14.04/3.86 | % 14.04/3.86 | From (924) and (1651) follows: % 14.04/3.86 | (1833) op(e0, e3) = e3 % 14.04/3.86 | % 14.04/3.86 +-Applying beta-rule and splitting (155), into two cases. % 14.04/3.86 |-Branch one: % 14.04/3.86 | (419) all_0_44_44 = e4 % 14.04/3.86 | % 14.04/3.86 | Equations (419) can reduce 58 to: % 14.04/3.86 | (637) ~ (all_0_45_45 = e4) % 14.04/3.86 | % 14.04/3.86 | Simplifying 637 yields: % 14.04/3.86 | (464) ~ (all_0_45_45 = e4) % 14.04/3.86 | % 14.04/3.86 +-Applying beta-rule and splitting (230), into two cases. % 14.04/3.86 |-Branch one: % 14.04/3.86 | (1113) all_0_40_40 = e3 % 14.04/3.86 | % 14.04/3.86 | Combining equations (770,1113) yields a new equation: % 14.04/3.86 | (760) e3 = e2 % 14.04/3.86 | % 14.04/3.86 | Equations (760) can reduce 228 to: % 14.04/3.86 | (304) $false % 14.04/3.86 | % 14.04/3.86 |-The branch is then unsatisfiable % 14.04/3.86 |-Branch two: % 14.04/3.86 | (1337) ~ (all_0_40_40 = e3) % 14.04/3.86 | (1354) all_0_45_45 = e3 | all_0_57_57 = e3 % 14.04/3.86 | % 14.04/3.86 +-Applying beta-rule and splitting (129), into two cases. % 14.04/3.86 |-Branch one: % 14.04/3.86 | (858) all_0_45_45 = e2 % 14.04/3.86 | % 14.04/3.86 | Equations (858) can reduce 601 to: % 14.04/3.86 | (304) $false % 14.04/3.86 | % 14.04/3.86 |-The branch is then unsatisfiable % 14.04/3.86 |-Branch two: % 14.04/3.86 | (601) ~ (all_0_45_45 = e2) % 14.04/3.86 | (1845) all_0_45_45 = e4 | all_0_45_45 = e3 | all_0_45_45 = e1 % 14.04/3.86 | % 14.04/3.86 +-Applying beta-rule and splitting (1354), into two cases. % 14.04/3.86 |-Branch one: % 14.04/3.86 | (460) all_0_45_45 = e3 % 14.04/3.86 | % 14.04/3.86 | Equations (460) can reduce 1400 to: % 14.04/3.86 | (304) $false % 14.04/3.86 | % 14.04/3.86 |-The branch is then unsatisfiable % 14.04/3.86 |-Branch two: % 14.04/3.86 | (1400) ~ (all_0_45_45 = e3) % 14.04/3.86 | (1190) all_0_57_57 = e3 % 14.04/3.86 | % 14.04/3.86 | Equations (1190) can reduce 220 to: % 14.04/3.86 | (1400) ~ (all_0_45_45 = e3) % 14.04/3.86 | % 14.04/3.86 | Equations (1190) can reduce 10 to: % 14.04/3.86 | (218) ~ (all_0_49_49 = e3) % 14.04/3.86 | % 14.04/3.86 | Equations (1190) can reduce 50 to: % 14.04/3.86 | (1183) ~ (all_0_55_55 = e3) % 14.04/3.86 | % 14.04/3.86 | From (1190) and (259) follows: % 14.04/3.86 | (1853) op(e0, e3) = all_0_30_30 % 14.04/3.86 | % 14.04/3.86 +-Applying beta-rule and splitting (1845), into two cases. % 14.04/3.86 |-Branch one: % 14.04/3.86 | (424) all_0_45_45 = e4 % 14.04/3.86 | % 14.04/3.86 | Equations (424) can reduce 464 to: % 14.04/3.86 | (304) $false % 14.04/3.86 | % 14.04/3.86 |-The branch is then unsatisfiable % 14.04/3.86 |-Branch two: % 14.04/3.86 | (464) ~ (all_0_45_45 = e4) % 14.04/3.86 | (1857) all_0_45_45 = e3 | all_0_45_45 = e1 % 14.04/3.86 | % 14.04/3.86 +-Applying beta-rule and splitting (1857), into two cases. % 14.04/3.86 |-Branch one: % 14.04/3.86 | (460) all_0_45_45 = e3 % 14.04/3.86 | % 14.04/3.86 | Equations (460) can reduce 1400 to: % 14.04/3.86 | (304) $false % 14.04/3.86 | % 14.04/3.86 |-The branch is then unsatisfiable % 14.04/3.86 |-Branch two: % 14.04/3.86 | (1400) ~ (all_0_45_45 = e3) % 14.04/3.86 | (664) all_0_45_45 = e1 % 14.04/3.86 | % 14.04/3.86 | Equations (664) can reduce 100 to: % 14.04/3.86 | (1372) ~ (all_0_49_49 = e1) % 14.04/3.86 | % 14.04/3.86 | Simplifying 1372 yields: % 14.04/3.86 | (713) ~ (all_0_49_49 = e1) % 14.04/3.86 | % 14.04/3.86 +-Applying beta-rule and splitting (140), into two cases. % 14.04/3.86 |-Branch one: % 14.04/3.86 | (658) all_0_47_47 = e1 % 14.04/3.86 | % 14.04/3.86 | Equations (658) can reduce 191 to: % 14.04/3.86 | (1372) ~ (all_0_49_49 = e1) % 14.04/3.86 | % 14.04/3.86 | Simplifying 1372 yields: % 14.04/3.86 | (713) ~ (all_0_49_49 = e1) % 14.04/3.86 | % 14.04/3.86 +-Applying beta-rule and splitting (33), into two cases. % 14.04/3.86 |-Branch one: % 14.04/3.86 | (1375) all_0_49_49 = e2 % 14.04/3.86 | % 14.04/3.86 | Equations (1375) can reduce 267 to: % 14.04/3.86 | (304) $false % 14.04/3.86 | % 14.04/3.86 |-The branch is then unsatisfiable % 14.04/3.86 |-Branch two: % 14.04/3.86 | (267) ~ (all_0_49_49 = e2) % 14.04/3.86 | (1378) all_0_49_49 = e4 | all_0_49_49 = e1 % 14.04/3.86 | % 14.04/3.86 +-Applying beta-rule and splitting (1378), into two cases. % 14.04/3.86 |-Branch one: % 14.04/3.86 | (654) all_0_49_49 = e4 % 14.04/3.86 | % 14.04/3.86 | Equations (654) can reduce 218 to: % 14.04/3.86 | (39) ~ (e4 = e3) % 14.04/3.86 | % 14.04/3.86 | Equations (654) can reduce 267 to: % 14.04/3.86 | (239) ~ (e4 = e2) % 14.04/3.86 | % 14.04/3.86 | Equations (654) can reduce 713 to: % 14.04/3.86 | (261) ~ (e4 = e1) % 14.04/3.86 | % 14.04/3.86 +-Applying beta-rule and splitting (116), into two cases. % 14.04/3.86 |-Branch one: % 14.04/3.86 | (815) all_0_39_39 = e4 % 14.04/3.86 | % 14.04/3.86 | Combining equations (815,786) yields a new equation: % 14.04/3.86 | (461) e4 = e3 % 14.04/3.86 | % 14.04/3.86 | Simplifying 461 yields: % 14.04/3.86 | (462) e4 = e3 % 14.04/3.86 | % 14.04/3.86 | Equations (462) can reduce 39 to: % 14.04/3.86 | (304) $false % 14.04/3.86 | % 14.04/3.86 |-The branch is then unsatisfiable % 14.04/3.86 |-Branch two: % 14.04/3.86 | (294) ~ (all_0_39_39 = e4) % 14.04/3.86 | (1419) all_0_47_47 = e4 | all_0_52_52 = e4 | all_0_55_55 = e4 % 14.04/3.86 | % 14.04/3.86 +-Applying beta-rule and splitting (1419), into two cases. % 14.04/3.86 |-Branch one: % 14.04/3.86 | (781) all_0_47_47 = e4 % 14.04/3.86 | % 14.04/3.86 | Combining equations (658,781) yields a new equation: % 14.04/3.86 | (607) e4 = e1 % 14.04/3.86 | % 14.04/3.86 | Equations (607) can reduce 261 to: % 14.04/3.86 | (304) $false % 14.04/3.86 | % 14.04/3.86 |-The branch is then unsatisfiable % 14.04/3.86 |-Branch two: % 14.04/3.86 | (656) ~ (all_0_47_47 = e4) % 14.04/3.86 | (1426) all_0_52_52 = e4 | all_0_55_55 = e4 % 14.04/3.86 | % 14.04/3.86 +-Applying beta-rule and splitting (1426), into two cases. % 14.04/3.86 |-Branch one: % 14.04/3.86 | (642) all_0_52_52 = e4 % 14.04/3.86 | % 14.04/3.86 | Combining equations (772,642) yields a new equation: % 14.04/3.86 | (540) e4 = e2 % 14.04/3.86 | % 14.04/3.86 | Equations (540) can reduce 239 to: % 14.04/3.86 | (304) $false % 14.04/3.86 | % 14.04/3.86 |-The branch is then unsatisfiable % 14.04/3.86 |-Branch two: % 14.04/3.86 | (727) ~ (all_0_52_52 = e4) % 14.04/3.86 | (611) all_0_55_55 = e4 % 14.04/3.86 | % 14.04/3.86 | Equations (611) can reduce 1183 to: % 14.04/3.86 | (39) ~ (e4 = e3) % 14.04/3.86 | % 14.04/3.86 | From (611) and (165) follows: % 14.04/3.86 | (1892) op(e0, e3) = e4 % 14.04/3.86 | % 14.04/3.86 | Instantiating formula (180) with e0, e3, e4, all_0_30_30 and discharging atoms op(e0, e3) = all_0_30_30, op(e0, e3) = e4, yields: % 14.04/3.86 | (1893) all_0_30_30 = e4 % 14.04/3.86 | % 14.04/3.86 | Instantiating formula (180) with e0, e3, e3, all_0_30_30 and discharging atoms op(e0, e3) = all_0_30_30, op(e0, e3) = e3, yields: % 14.04/3.86 | (1894) all_0_30_30 = e3 % 14.04/3.86 | % 14.04/3.86 | Combining equations (1894,1893) yields a new equation: % 14.04/3.86 | (462) e4 = e3 % 14.04/3.86 | % 14.04/3.86 | Equations (462) can reduce 39 to: % 14.04/3.86 | (304) $false % 14.04/3.86 | % 14.04/3.86 |-The branch is then unsatisfiable % 14.04/3.86 |-Branch two: % 14.04/3.86 | (722) ~ (all_0_49_49 = e4) % 14.04/3.86 | (709) all_0_49_49 = e1 % 14.04/3.86 | % 14.04/3.86 | Equations (709) can reduce 713 to: % 14.04/3.86 | (304) $false % 14.04/3.86 | % 14.04/3.86 |-The branch is then unsatisfiable % 14.04/3.86 |-Branch two: % 14.04/3.86 | (717) ~ (all_0_47_47 = e1) % 14.04/3.86 | (709) all_0_49_49 = e1 % 14.04/3.86 | % 14.04/3.86 | Equations (709) can reduce 713 to: % 14.04/3.86 | (304) $false % 14.04/3.86 | % 14.04/3.86 |-The branch is then unsatisfiable % 14.04/3.86 |-Branch two: % 14.04/3.86 | (422) ~ (all_0_44_44 = e4) % 14.04/3.86 | (1904) all_0_53_53 = e4 | all_0_56_56 = e4 % 14.04/3.86 | % 14.04/3.86 +-Applying beta-rule and splitting (163), into two cases. % 14.04/3.86 |-Branch one: % 14.04/3.86 | (415) all_0_42_42 = e4 % 14.04/3.86 | % 14.04/3.86 | Combining equations (632,415) yields a new equation: % 14.04/3.86 | (540) e4 = e2 % 14.04/3.86 | % 14.04/3.86 | Equations (540) can reduce 239 to: % 14.04/3.86 | (304) $false % 14.04/3.86 | % 14.04/3.86 |-The branch is then unsatisfiable % 14.04/3.86 |-Branch two: % 14.04/3.86 | (296) ~ (all_0_42_42 = e4) % 14.04/3.86 | (418) all_0_44_44 = e4 | all_0_45_45 = e4 | all_0_46_46 = e4 % 14.04/3.86 | % 14.04/3.86 +-Applying beta-rule and splitting (23), into two cases. % 14.04/3.86 |-Branch one: % 14.04/3.86 | (323) all_0_39_39 = e0 % 14.04/3.86 | % 14.04/3.86 | Combining equations (786,323) yields a new equation: % 14.04/3.86 | (571) e3 = e0 % 14.04/3.86 | % 14.04/3.86 | Simplifying 571 yields: % 14.04/3.86 | (572) e3 = e0 % 14.04/3.86 | % 14.04/3.86 | Equations (572) can reduce 78 to: % 14.04/3.86 | (304) $false % 14.04/3.86 | % 14.04/3.86 |-The branch is then unsatisfiable % 14.04/3.86 |-Branch two: % 14.04/3.86 | (351) ~ (all_0_39_39 = e0) % 14.04/3.86 | (352) all_0_43_43 = e0 | all_0_47_47 = e0 | all_0_55_55 = e0 % 14.04/3.86 | % 14.04/3.86 +-Applying beta-rule and splitting (418), into two cases. % 14.04/3.86 |-Branch one: % 14.04/3.86 | (419) all_0_44_44 = e4 % 14.04/3.86 | % 14.04/3.86 | Equations (419) can reduce 422 to: % 14.04/3.86 | (304) $false % 14.04/3.86 | % 14.04/3.86 |-The branch is then unsatisfiable % 14.04/3.86 |-Branch two: % 14.04/3.86 | (422) ~ (all_0_44_44 = e4) % 14.04/3.86 | (423) all_0_45_45 = e4 | all_0_46_46 = e4 % 14.04/3.86 | % 14.04/3.86 +-Applying beta-rule and splitting (352), into two cases. % 14.04/3.86 |-Branch one: % 14.04/3.86 | (430) all_0_43_43 = e0 % 14.04/3.86 | % 14.04/3.86 +-Applying beta-rule and splitting (423), into two cases. % 14.04/3.86 |-Branch one: % 14.04/3.86 | (424) all_0_45_45 = e4 % 14.04/3.87 | % 14.04/3.87 +-Applying beta-rule and splitting (205), into two cases. % 14.04/3.87 |-Branch one: % 14.04/3.87 | (736) all_0_42_42 = e1 % 14.04/3.87 | % 14.04/3.87 | Combining equations (632,736) yields a new equation: % 14.04/3.87 | (694) e2 = e1 % 14.04/3.87 | % 14.04/3.87 | Simplifying 694 yields: % 14.04/3.87 | (695) e2 = e1 % 14.04/3.87 | % 14.04/3.87 | Equations (695) can reduce 157 to: % 14.04/3.87 | (304) $false % 14.04/3.87 | % 14.04/3.87 |-The branch is then unsatisfiable % 14.04/3.87 |-Branch two: % 14.04/3.87 | (605) ~ (all_0_42_42 = e1) % 14.04/3.87 | (604) all_0_54_54 = e1 % 14.04/3.87 | % 14.04/3.87 | Equations (604) can reduce 298 to: % 14.04/3.87 | (659) ~ (e4 = e1) % 14.04/3.87 | % 14.04/3.87 | Simplifying 659 yields: % 14.04/3.87 | (261) ~ (e4 = e1) % 14.04/3.87 | % 14.04/3.87 | Equations (604) can reduce 283 to: % 14.04/3.87 | (661) ~ (e2 = e1) % 14.04/3.87 | % 14.04/3.87 | Simplifying 661 yields: % 14.04/3.87 | (157) ~ (e2 = e1) % 14.04/3.87 | % 14.04/3.87 | Equations (604) can reduce 313 to: % 14.04/3.87 | (150) ~ (e1 = e0) % 14.04/3.87 | % 14.04/3.87 +-Applying beta-rule and splitting (227), into two cases. % 14.04/3.87 |-Branch one: % 14.04/3.87 | (736) all_0_42_42 = e1 % 14.04/3.87 | % 14.04/3.87 | Combining equations (632,736) yields a new equation: % 14.04/3.87 | (694) e2 = e1 % 14.04/3.87 | % 14.04/3.87 | Simplifying 694 yields: % 14.04/3.87 | (695) e2 = e1 % 14.04/3.87 | % 14.04/3.87 | Equations (695) can reduce 157 to: % 14.04/3.87 | (304) $false % 14.04/3.87 | % 14.04/3.87 |-The branch is then unsatisfiable % 14.04/3.87 |-Branch two: % 14.04/3.87 | (605) ~ (all_0_42_42 = e1) % 14.04/3.87 | (899) all_0_43_43 = e1 | all_0_45_45 = e1 % 14.04/3.87 | % 14.04/3.87 +-Applying beta-rule and splitting (899), into two cases. % 14.04/3.87 |-Branch one: % 14.04/3.87 | (457) all_0_43_43 = e1 % 14.04/3.87 | % 14.04/3.87 | Combining equations (430,457) yields a new equation: % 14.04/3.87 | (750) e1 = e0 % 14.04/3.87 | % 14.04/3.87 | Equations (750) can reduce 150 to: % 14.04/3.87 | (304) $false % 14.04/3.87 | % 14.04/3.87 |-The branch is then unsatisfiable % 14.04/3.87 |-Branch two: % 14.04/3.87 | (425) ~ (all_0_43_43 = e1) % 14.04/3.87 | (664) all_0_45_45 = e1 % 14.04/3.87 | % 14.04/3.87 | Combining equations (424,664) yields a new equation: % 14.04/3.87 | (710) e4 = e1 % 14.04/3.87 | % 14.04/3.87 | Simplifying 710 yields: % 14.04/3.87 | (607) e4 = e1 % 14.04/3.87 | % 14.04/3.87 | Equations (607) can reduce 261 to: % 14.04/3.87 | (304) $false % 14.04/3.87 | % 14.04/3.87 |-The branch is then unsatisfiable % 14.04/3.87 |-Branch two: % 14.04/3.87 | (464) ~ (all_0_45_45 = e4) % 14.04/3.87 | (465) all_0_46_46 = e4 % 14.04/3.87 | % 14.04/3.87 | Combining equations (924,465) yields a new equation: % 14.04/3.87 | (462) e4 = e3 % 14.04/3.87 | % 14.04/3.87 | Equations (462) can reduce 39 to: % 14.04/3.87 | (304) $false % 14.04/3.87 | % 14.04/3.87 |-The branch is then unsatisfiable % 14.04/3.87 |-Branch two: % 14.04/3.87 | (290) ~ (all_0_43_43 = e0) % 14.04/3.87 | (513) all_0_47_47 = e0 | all_0_55_55 = e0 % 14.04/3.87 | % 14.04/3.87 +-Applying beta-rule and splitting (513), into two cases. % 14.04/3.87 |-Branch one: % 14.04/3.87 | (370) all_0_47_47 = e0 % 14.04/3.87 | % 14.04/3.87 | Equations (370) can reduce 364 to: % 14.04/3.87 | (304) $false % 14.04/3.87 | % 14.04/3.87 |-The branch is then unsatisfiable % 14.04/3.87 |-Branch two: % 14.04/3.87 | (364) ~ (all_0_47_47 = e0) % 14.04/3.87 | (362) all_0_55_55 = e0 % 14.04/3.87 | % 14.04/3.87 | Equations (362) can reduce 930 to: % 14.04/3.87 | (304) $false % 14.04/3.87 | % 14.04/3.87 |-The branch is then unsatisfiable % 14.04/3.87 |-Branch two: % 14.04/3.87 | (277) ~ (all_0_42_42 = e2) % 14.04/3.87 | (848) all_0_43_43 = e2 | all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2 % 14.04/3.87 | % 14.04/3.87 +-Applying beta-rule and splitting (848), into two cases. % 14.04/3.87 |-Branch one: % 14.04/3.87 | (426) all_0_43_43 = e2 % 14.04/3.87 | % 14.04/3.87 | Equations (426) can reduce 288 to: % 14.04/3.87 | (304) $false % 14.04/3.87 | % 14.04/3.87 |-The branch is then unsatisfiable % 14.04/3.87 |-Branch two: % 14.04/3.87 | (288) ~ (all_0_43_43 = e2) % 14.04/3.87 | (852) all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2 % 14.04/3.87 | % 14.04/3.87 +-Applying beta-rule and splitting (852), into two cases. % 14.04/3.87 |-Branch one: % 14.04/3.87 | (853) all_0_44_44 = e2 % 14.04/3.87 | % 14.04/3.87 | Equations (853) can reduce 265 to: % 14.04/3.87 | (304) $false % 14.04/3.87 | % 14.04/3.87 |-The branch is then unsatisfiable % 14.04/3.87 |-Branch two: % 14.04/3.87 | (265) ~ (all_0_44_44 = e2) % 14.04/3.87 | (857) all_0_45_45 = e2 | all_0_46_46 = e2 % 14.04/3.87 | % 14.04/3.87 +-Applying beta-rule and splitting (857), into two cases. % 14.04/3.87 |-Branch one: % 14.04/3.87 | (858) all_0_45_45 = e2 % 14.04/3.87 | % 14.04/3.87 | Equations (858) can reduce 601 to: % 14.04/3.87 | (304) $false % 14.04/3.87 | % 14.04/3.87 |-The branch is then unsatisfiable % 14.04/3.87 |-Branch two: % 14.04/3.87 | (601) ~ (all_0_45_45 = e2) % 14.04/3.87 | (544) all_0_46_46 = e2 % 14.04/3.87 | % 14.04/3.87 | Equations (544) can reduce 839 to: % 14.04/3.87 | (304) $false % 14.04/3.87 | % 14.04/3.87 |-The branch is then unsatisfiable % 14.04/3.87 |-Branch two: % 14.04/3.87 | (1172) all_0_35_35 = e2 & ~ (all_0_36_36 = e0) % 14.04/3.87 | % 14.04/3.87 | Applying alpha-rule on (1172) yields: % 14.04/3.87 | (1173) all_0_35_35 = e2 % 14.04/3.87 | (1174) ~ (all_0_36_36 = e0) % 14.04/3.87 | % 14.04/3.87 | Equations (1162) can reduce 1174 to: % 14.04/3.87 | (304) $false % 14.04/3.87 | % 14.04/3.87 |-The branch is then unsatisfiable % 14.04/3.87 |-Branch two: % 14.04/3.87 | (832) ~ (all_0_40_40 = e2) % 14.04/3.87 | (1104) all_0_40_40 = e4 | all_0_40_40 = e3 % 14.04/3.87 | % 14.04/3.87 +-Applying beta-rule and splitting (216), into two cases. % 14.04/3.87 |-Branch one: % 14.04/3.87 | (576) all_0_39_39 = e2 % 14.04/3.87 | % 14.04/3.87 | Combining equations (576,786) yields a new equation: % 14.04/3.87 | (760) e3 = e2 % 14.04/3.87 | % 14.04/3.87 | Equations (760) can reduce 228 to: % 14.04/3.87 | (304) $false % 14.04/3.87 | % 14.04/3.87 |-The branch is then unsatisfiable % 14.04/3.87 |-Branch two: % 14.04/3.87 | (762) ~ (all_0_39_39 = e2) % 14.04/3.87 | (767) all_0_40_40 = e2 | all_0_41_41 = e2 % 14.04/3.87 | % 14.04/3.87 +-Applying beta-rule and splitting (767), into two cases. % 14.04/3.87 |-Branch one: % 14.04/3.87 | (770) all_0_40_40 = e2 % 14.04/3.87 | % 14.04/3.87 | Equations (770) can reduce 832 to: % 14.04/3.87 | (304) $false % 14.04/3.87 | % 14.04/3.87 |-The branch is then unsatisfiable % 14.04/3.87 |-Branch two: % 14.04/3.87 | (832) ~ (all_0_40_40 = e2) % 14.04/3.87 | (539) all_0_41_41 = e2 % 14.04/3.87 | % 14.04/3.87 | Combining equations (480,539) yields a new equation: % 14.04/3.87 | (724) e4 = e2 % 14.04/3.87 | % 14.04/3.87 | Simplifying 724 yields: % 14.04/3.87 | (540) e4 = e2 % 14.04/3.87 | % 14.04/3.87 | Equations (540) can reduce 239 to: % 14.04/3.87 | (304) $false % 14.04/3.87 | % 14.04/3.87 |-The branch is then unsatisfiable % 14.04/3.87 |-Branch two: % 14.04/3.87 | (279) ~ (all_0_52_52 = e2) % 14.04/3.87 | (619) all_0_53_53 = e2 % 14.44/3.87 | % 14.44/3.87 | Equations (619) can reduce 271 to: % 14.44/3.87 | (304) $false % 14.44/3.87 | % 14.44/3.87 |-The branch is then unsatisfiable % 14.44/3.87 |-Branch two: % 14.44/3.87 | (1994) ~ (all_0_48_48 = e2) % 14.44/3.87 | (341) all_0_48_48 = e0 % 14.44/3.87 | % 14.44/3.87 | Equations (341) can reduce 263 to: % 14.44/3.87 | (304) $false % 14.44/3.87 | % 14.44/3.87 |-The branch is then unsatisfiable % 14.44/3.87 |-Branch two: % 14.44/3.87 | (341) all_0_48_48 = e0 % 14.44/3.87 | (492) all_0_50_50 = e2 % 14.44/3.87 | % 14.44/3.87 | Equations (492) can reduce 174 to: % 14.44/3.87 | (542) ~ (all_0_41_41 = e2) % 14.44/3.87 | % 14.44/3.87 | Equations (341) can reduce 167 to: % 14.44/3.87 | (334) ~ (all_0_44_44 = e0) % 14.44/3.87 | % 14.44/3.87 | Equations (492) can reduce 87 to: % 14.44/3.87 | (839) ~ (all_0_46_46 = e2) % 14.44/3.87 | % 14.44/3.87 | Equations (341) can reduce 34 to: % 14.44/3.87 | (364) ~ (all_0_47_47 = e0) % 14.44/3.87 | % 14.44/3.87 | Equations (492) can reduce 134 to: % 14.44/3.87 | (578) ~ (all_0_47_47 = e2) % 14.44/3.87 | % 14.44/3.87 | Equations (341) can reduce 130 to: % 14.44/3.87 | (2004) ~ (all_0_53_53 = e0) % 14.44/3.87 | % 14.44/3.87 | Simplifying 2004 yields: % 14.44/3.87 | (17) ~ (all_0_53_53 = e0) % 14.44/3.87 | % 14.44/3.87 | Equations (341) can reduce 210 to: % 14.44/3.87 | (315) ~ (e4 = e0) % 14.44/3.87 | % 14.44/3.87 | Simplifying 315 yields: % 14.44/3.87 | (12) ~ (e4 = e0) % 14.44/3.87 | % 14.44/3.87 | Equations (341) can reduce 249 to: % 14.44/3.87 | (535) ~ (e1 = e0) % 14.44/3.87 | % 14.44/3.87 | Simplifying 535 yields: % 14.44/3.87 | (150) ~ (e1 = e0) % 14.44/3.87 | % 14.44/3.87 | Equations (492) can reduce 90 to: % 14.44/3.87 | (267) ~ (all_0_49_49 = e2) % 14.44/3.87 | % 14.44/3.87 | Equations (492) can reduce 13 to: % 14.44/3.87 | (547) ~ (all_0_58_58 = e2) % 14.44/3.87 | % 14.44/3.87 | Simplifying 547 yields: % 14.44/3.87 | (289) ~ (all_0_58_58 = e2) % 14.44/3.87 | % 14.44/3.87 | From (492) and (97) follows: % 14.44/3.87 | (2013) op(e2, e2) = all_0_36_36 % 14.44/3.87 | % 14.44/3.87 | From (341) and (76) follows: % 14.44/3.87 | (2014) op(e2, e2) = e0 % 14.44/3.87 | % 14.44/3.87 | From (492) and (60) follows: % 14.44/3.87 | (2015) op(e0, e2) = all_0_35_35 % 14.44/3.87 | % 14.44/3.87 | Instantiating formula (180) with e2, e2, e0, all_0_36_36 and discharging atoms op(e2, e2) = all_0_36_36, op(e2, e2) = e0, yields: % 14.44/3.87 | (1162) all_0_36_36 = e0 % 14.44/3.87 | % 14.44/3.87 | Instantiating formula (180) with e0, e2, all_0_35_35, all_0_56_56 and discharging atoms op(e0, e2) = all_0_35_35, op(e0, e2) = all_0_56_56, yields: % 14.44/3.87 | (2017) all_0_35_35 = all_0_56_56 % 14.44/3.87 | % 14.44/3.87 | From (2017) and (2015) follows: % 14.44/3.87 | (69) op(e0, e2) = all_0_56_56 % 14.44/3.87 | % 14.44/3.87 +-Applying beta-rule and splitting (81), into two cases. % 14.44/3.87 |-Branch one: % 14.44/3.87 | (288) ~ (all_0_43_43 = e2) % 14.44/3.87 | % 14.44/3.87 +-Applying beta-rule and splitting (244), into two cases. % 14.44/3.87 |-Branch one: % 14.44/3.87 | (276) all_0_51_51 = e2 % 14.44/3.87 | % 14.44/3.87 | Equations (276) can reduce 152 to: % 14.44/3.87 | (222) ~ (all_0_38_38 = e2) % 14.44/3.87 | % 14.44/3.87 | Equations (276) can reduce 108 to: % 14.44/3.87 | (278) ~ (all_0_52_52 = e2) % 14.44/3.87 | % 14.44/3.87 | Simplifying 278 yields: % 14.44/3.87 | (279) ~ (all_0_52_52 = e2) % 14.44/3.87 | % 14.44/3.87 | Equations (276) can reduce 80 to: % 14.44/3.87 | (270) ~ (all_0_53_53 = e2) % 14.44/3.87 | % 14.44/3.87 | Simplifying 270 yields: % 14.44/3.87 | (271) ~ (all_0_53_53 = e2) % 14.44/3.87 | % 14.44/3.87 | Equations (276) can reduce 211 to: % 14.44/3.87 | (282) ~ (all_0_54_54 = e2) % 14.44/3.87 | % 14.44/3.87 | Simplifying 282 yields: % 14.44/3.87 | (283) ~ (all_0_54_54 = e2) % 14.44/3.87 | % 14.44/3.87 | Equations (276) can reduce 188 to: % 14.44/3.87 | (63) ~ (e2 = e0) % 14.44/3.87 | % 14.44/3.87 +-Applying beta-rule and splitting (54), into two cases. % 14.44/3.87 |-Branch one: % 14.44/3.87 | (302) ~ (all_0_58_58 = e3) % 14.44/3.87 | % 14.44/3.87 +-Applying beta-rule and splitting (197), into two cases. % 14.44/3.87 |-Branch one: % 14.44/3.87 | (292) all_0_38_38 = e4 % 14.44/3.87 | % 14.44/3.87 | Equations (292) can reduce 151 to: % 14.44/3.87 | (2031) ~ (all_0_40_40 = e4) % 14.44/3.87 | % 14.44/3.87 | Simplifying 2031 yields: % 14.44/3.87 | (484) ~ (all_0_40_40 = e4) % 14.44/3.87 | % 14.44/3.87 | Equations (292) can reduce 20 to: % 14.44/3.87 | (2033) ~ (all_0_41_41 = e4) % 14.44/3.87 | % 14.44/3.87 | Simplifying 2033 yields: % 14.44/3.87 | (1414) ~ (all_0_41_41 = e4) % 14.44/3.87 | % 14.44/3.87 | Equations (292) can reduce 215 to: % 14.44/3.87 | (297) ~ (all_0_54_54 = e4) % 14.44/3.87 | % 14.44/3.87 | Simplifying 297 yields: % 14.44/3.87 | (298) ~ (all_0_54_54 = e4) % 14.44/3.87 | % 14.44/3.87 | Equations (292) can reduce 21 to: % 14.44/3.87 | (39) ~ (e4 = e3) % 14.44/3.87 | % 14.44/3.87 | Equations (292) can reduce 222 to: % 14.44/3.87 | (239) ~ (e4 = e2) % 14.44/3.87 | % 14.44/3.87 +-Applying beta-rule and splitting (24), into two cases. % 14.44/3.87 |-Branch one: % 14.44/3.87 | (301) ~ (all_0_58_58 = e4) % 14.44/3.87 | % 14.44/3.87 +-Applying beta-rule and splitting (250), into two cases. % 14.44/3.87 |-Branch one: % 14.44/3.87 | (480) all_0_41_41 = e4 % 14.44/3.87 | % 14.44/3.87 | Equations (480) can reduce 1414 to: % 14.44/3.87 | (304) $false % 14.44/3.87 | % 14.44/3.87 |-The branch is then unsatisfiable % 14.44/3.87 |-Branch two: % 14.44/3.87 | (1414) ~ (all_0_41_41 = e4) % 14.44/3.87 | (1415) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_58_58 = e4 % 14.44/3.87 | % 14.44/3.87 +-Applying beta-rule and splitting (75), into two cases. % 14.44/3.87 |-Branch one: % 14.44/3.87 | (303) all_0_58_58 = e2 % 14.44/3.87 | % 14.44/3.87 | Equations (303) can reduce 289 to: % 14.44/3.87 | (304) $false % 14.44/3.87 | % 14.44/3.87 |-The branch is then unsatisfiable % 14.44/3.87 |-Branch two: % 14.44/3.87 | (289) ~ (all_0_58_58 = e2) % 14.44/3.87 | (306) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e0 % 14.44/3.87 | % 14.44/3.87 +-Applying beta-rule and splitting (306), into two cases. % 14.44/3.87 |-Branch one: % 14.44/3.87 | (307) all_0_58_58 = e4 % 14.44/3.87 | % 14.44/3.87 | Equations (307) can reduce 301 to: % 14.44/3.87 | (304) $false % 14.44/3.87 | % 14.44/3.87 |-The branch is then unsatisfiable % 14.44/3.87 |-Branch two: % 14.44/3.87 | (301) ~ (all_0_58_58 = e4) % 14.44/3.87 | (310) all_0_58_58 = e3 | all_0_58_58 = e0 % 14.44/3.87 | % 14.44/3.87 +-Applying beta-rule and splitting (1415), into two cases. % 14.44/3.87 |-Branch one: % 14.44/3.87 | (465) all_0_46_46 = e4 % 14.44/3.87 | % 14.44/3.87 | Equations (465) can reduce 147 to: % 14.44/3.87 | (296) ~ (all_0_42_42 = e4) % 14.44/3.87 | % 14.44/3.87 | Equations (465) can reduce 121 to: % 14.44/3.87 | (422) ~ (all_0_44_44 = e4) % 14.44/3.87 | % 14.44/3.87 | From (465) and (141) follows: % 14.44/3.87 | (1422) op(e0, e4) = all_0_33_33 % 14.44/3.87 | % 14.44/3.87 +-Applying beta-rule and splitting (190), into two cases. % 14.44/3.87 |-Branch one: % 14.44/3.87 | (290) ~ (all_0_43_43 = e0) % 14.44/3.87 | % 14.44/3.87 +-Applying beta-rule and splitting (30), into two cases. % 14.44/3.87 |-Branch one: % 14.44/3.87 | (332) all_0_42_42 = e0 % 14.44/3.87 | % 14.44/3.87 | Equations (332) can reduce 296 to: % 14.44/3.87 | (315) ~ (e4 = e0) % 14.44/3.87 | % 14.44/3.87 | Simplifying 315 yields: % 14.44/3.87 | (12) ~ (e4 = e0) % 14.44/3.87 | % 14.44/3.87 | Equations (332) can reduce 203 to: % 14.44/3.87 | (1462) ~ (e3 = e0) % 14.44/3.87 | % 14.44/3.87 | Simplifying 1462 yields: % 14.44/3.87 | (78) ~ (e3 = e0) % 14.44/3.87 | % 14.44/3.87 +-Applying beta-rule and splitting (133), into two cases. % 14.44/3.87 |-Branch one: % 14.44/3.87 | (1120) all_0_41_41 = e3 % 14.44/3.87 | % 14.44/3.87 | Equations (1120) can reduce 258 to: % 14.44/3.87 | (1337) ~ (all_0_40_40 = e3) % 14.44/3.87 | % 14.44/3.88 | Equations (1120) can reduce 143 to: % 14.44/3.88 | (933) ~ (all_0_58_58 = e3) % 14.44/3.88 | % 14.44/3.88 | Simplifying 933 yields: % 14.44/3.88 | (302) ~ (all_0_58_58 = e3) % 14.44/3.88 | % 14.44/3.88 | From (1120) and (73) follows: % 14.44/3.88 | (2066) op(e0, e3) = all_0_31_31 % 14.44/3.88 | % 14.44/3.88 +-Applying beta-rule and splitting (178), into two cases. % 14.44/3.88 |-Branch one: % 14.44/3.88 | (317) all_0_38_38 = e0 % 14.44/3.88 | % 14.44/3.88 | Combining equations (317,292) yields a new equation: % 14.44/3.88 | (319) e4 = e0 % 14.44/3.88 | % 14.44/3.88 | Equations (319) can reduce 12 to: % 14.44/3.88 | (304) $false % 14.44/3.88 | % 14.44/3.88 |-The branch is then unsatisfiable % 14.44/3.88 |-Branch two: % 14.44/3.88 | (291) ~ (all_0_38_38 = e0) % 14.44/3.88 | (322) all_0_39_39 = e0 | all_0_41_41 = e0 % 14.44/3.88 | % 14.44/3.88 +-Applying beta-rule and splitting (322), into two cases. % 14.44/3.88 |-Branch one: % 14.44/3.88 | (323) all_0_39_39 = e0 % 14.44/3.88 | % 14.44/3.88 | Equations (323) can reduce 16 to: % 14.44/3.88 | (1082) ~ (all_0_40_40 = e0) % 14.44/3.88 | % 14.44/3.88 | Simplifying 1082 yields: % 14.44/3.88 | (94) ~ (all_0_40_40 = e0) % 14.44/3.88 | % 14.44/3.88 | Equations (323) can reduce 162 to: % 14.44/3.88 | (535) ~ (e1 = e0) % 14.44/3.88 | % 14.44/3.88 | Simplifying 535 yields: % 14.44/3.88 | (150) ~ (e1 = e0) % 14.44/3.88 | % 14.44/3.88 +-Applying beta-rule and splitting (70), into two cases. % 14.44/3.88 |-Branch one: % 14.44/3.88 | (770) all_0_40_40 = e2 % 14.44/3.88 | % 14.44/3.88 | Equations (770) can reduce 94 to: % 14.44/3.88 | (63) ~ (e2 = e0) % 14.44/3.88 | % 14.44/3.88 +-Applying beta-rule and splitting (62), into two cases. % 14.44/3.88 |-Branch one: % 14.44/3.88 | (632) all_0_42_42 = e2 % 14.44/3.88 | % 14.44/3.88 | Combining equations (332,632) yields a new equation: % 14.44/3.88 | (343) e2 = e0 % 14.44/3.88 | % 14.44/3.88 | Equations (343) can reduce 63 to: % 14.44/3.88 | (304) $false % 14.44/3.88 | % 14.44/3.88 |-The branch is then unsatisfiable % 14.44/3.88 |-Branch two: % 14.44/3.88 | (277) ~ (all_0_42_42 = e2) % 14.44/3.88 | (848) all_0_43_43 = e2 | all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2 % 14.44/3.88 | % 14.44/3.88 | Equations (332) can reduce 277 to: % 14.44/3.88 | (335) ~ (e2 = e0) % 14.44/3.88 | % 14.44/3.88 | Simplifying 335 yields: % 14.44/3.88 | (63) ~ (e2 = e0) % 14.44/3.88 | % 14.44/3.88 +-Applying beta-rule and splitting (205), into two cases. % 14.44/3.88 |-Branch one: % 14.44/3.88 | (736) all_0_42_42 = e1 % 14.44/3.88 | % 14.44/3.88 | Combining equations (332,736) yields a new equation: % 14.44/3.88 | (750) e1 = e0 % 14.44/3.88 | % 14.44/3.88 | Equations (750) can reduce 150 to: % 14.44/3.88 | (304) $false % 14.44/3.88 | % 14.44/3.88 |-The branch is then unsatisfiable % 14.44/3.88 |-Branch two: % 14.44/3.88 | (605) ~ (all_0_42_42 = e1) % 14.44/3.88 | (604) all_0_54_54 = e1 % 14.44/3.88 | % 14.44/3.88 | Equations (604) can reduce 117 to: % 14.44/3.88 | (1387) ~ (e3 = e1) % 14.44/3.88 | % 14.44/3.88 | Simplifying 1387 yields: % 14.44/3.88 | (154) ~ (e3 = e1) % 14.44/3.88 | % 14.44/3.88 | From (604) and (74) follows: % 14.44/3.88 | (1390) op(e0, e4) = e1 % 14.44/3.88 | % 14.44/3.88 +-Applying beta-rule and splitting (18), into two cases. % 14.44/3.88 |-Branch one: % 14.44/3.88 | (576) all_0_39_39 = e2 % 14.44/3.88 | % 14.44/3.88 | Combining equations (576,323) yields a new equation: % 14.44/3.88 | (342) e2 = e0 % 14.44/3.88 | % 14.44/3.88 | Simplifying 342 yields: % 14.44/3.88 | (343) e2 = e0 % 14.44/3.88 | % 14.44/3.88 | Equations (343) can reduce 63 to: % 14.44/3.88 | (304) $false % 14.44/3.88 | % 14.44/3.88 |-The branch is then unsatisfiable % 14.44/3.88 |-Branch two: % 14.44/3.88 | (762) ~ (all_0_39_39 = e2) % 14.44/3.88 | (763) all_0_43_43 = e2 | all_0_47_47 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2 % 14.44/3.88 | % 14.44/3.88 +-Applying beta-rule and splitting (763), into two cases. % 14.44/3.88 |-Branch one: % 14.44/3.88 | (426) all_0_43_43 = e2 % 14.44/3.88 | % 14.44/3.88 | Equations (426) can reduce 288 to: % 14.44/3.88 | (304) $false % 14.44/3.88 | % 14.44/3.88 |-The branch is then unsatisfiable % 14.44/3.88 |-Branch two: % 14.44/3.88 | (288) ~ (all_0_43_43 = e2) % 14.44/3.88 | (1261) all_0_47_47 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2 % 14.44/3.88 | % 14.44/3.88 +-Applying beta-rule and splitting (1261), into two cases. % 14.44/3.88 |-Branch one: % 14.44/3.88 | (2104) all_0_47_47 = e2 % 14.44/3.88 | % 14.44/3.88 | Equations (2104) can reduce 578 to: % 14.44/3.88 | (304) $false % 14.44/3.88 | % 14.44/3.88 |-The branch is then unsatisfiable % 14.44/3.88 |-Branch two: % 14.44/3.88 | (578) ~ (all_0_47_47 = e2) % 14.44/3.88 | (2107) all_0_52_52 = e2 | all_0_55_55 = e2 % 14.44/3.88 | % 14.44/3.88 +-Applying beta-rule and splitting (2107), into two cases. % 14.44/3.88 |-Branch one: % 14.44/3.88 | (772) all_0_52_52 = e2 % 14.44/3.88 | % 14.44/3.88 | Equations (772) can reduce 279 to: % 14.44/3.88 | (304) $false % 14.44/3.88 | % 14.44/3.88 |-The branch is then unsatisfiable % 14.44/3.88 |-Branch two: % 14.44/3.88 | (279) ~ (all_0_52_52 = e2) % 14.44/3.88 | (590) all_0_55_55 = e2 % 14.44/3.88 | % 14.44/3.88 | Equations (590) can reduce 107 to: % 14.44/3.88 | (272) ~ (all_0_56_56 = e2) % 14.44/3.88 | % 14.44/3.88 | Simplifying 272 yields: % 14.44/3.88 | (273) ~ (all_0_56_56 = e2) % 14.44/3.88 | % 14.44/3.88 | Equations (590) can reduce 126 to: % 14.44/3.88 | (547) ~ (all_0_58_58 = e2) % 14.44/3.88 | % 14.44/3.88 | Simplifying 547 yields: % 14.44/3.88 | (289) ~ (all_0_58_58 = e2) % 14.44/3.88 | % 14.44/3.88 | From (590) and (165) follows: % 14.44/3.88 | (2116) op(e0, e3) = e2 % 14.44/3.88 | % 14.44/3.88 +-Applying beta-rule and splitting (310), into two cases. % 14.44/3.88 |-Branch one: % 14.44/3.88 | (311) all_0_58_58 = e0 % 14.44/3.88 | % 14.44/3.88 | Equations (311) can reduce 289 to: % 14.44/3.88 | (335) ~ (e2 = e0) % 14.44/3.88 | % 14.44/3.88 | Simplifying 335 yields: % 14.44/3.88 | (63) ~ (e2 = e0) % 14.44/3.88 | % 14.44/3.88 +-Applying beta-rule and splitting (47), into two cases. % 14.44/3.88 |-Branch one: % 14.44/3.88 | (853) all_0_44_44 = e2 % 14.44/3.88 | % 14.44/3.88 | Equations (853) can reduce 189 to: % 14.44/3.88 | (272) ~ (all_0_56_56 = e2) % 14.44/3.88 | % 14.44/3.88 | Simplifying 272 yields: % 14.44/3.88 | (273) ~ (all_0_56_56 = e2) % 14.44/3.88 | % 14.44/3.88 | Equations (853) can reduce 422 to: % 14.44/3.88 | (274) ~ (e4 = e2) % 14.44/3.88 | % 14.44/3.88 | Simplifying 274 yields: % 14.44/3.88 | (239) ~ (e4 = e2) % 14.44/3.88 | % 14.44/3.88 | Instantiating formula (180) with e0, e4, e1, all_0_33_33 and discharging atoms op(e0, e4) = all_0_33_33, op(e0, e4) = e1, yields: % 14.44/3.88 | (1473) all_0_33_33 = e1 % 14.44/3.88 | % 14.44/3.88 | Instantiating formula (180) with e0, e3, e2, all_0_31_31 and discharging atoms op(e0, e3) = all_0_31_31, op(e0, e3) = e2, yields: % 14.44/3.88 | (2126) all_0_31_31 = e2 % 14.44/3.88 | % 14.44/3.88 +-Applying beta-rule and splitting (172), into two cases. % 14.44/3.88 |-Branch one: % 14.44/3.88 | (1163) (all_0_31_31 = e4 & ~ (all_0_32_32 = e0)) | (all_0_33_33 = e3 & ~ (all_0_34_34 = e0)) % 14.44/3.88 | % 14.44/3.88 +-Applying beta-rule and splitting (1163), into two cases. % 14.44/3.88 |-Branch one: % 14.44/3.88 | (1164) all_0_31_31 = e4 & ~ (all_0_32_32 = e0) % 14.44/3.88 | % 14.44/3.88 | Applying alpha-rule on (1164) yields: % 14.44/3.88 | (1165) all_0_31_31 = e4 % 14.44/3.88 | (1166) ~ (all_0_32_32 = e0) % 14.44/3.88 | % 14.44/3.88 | Combining equations (2126,1165) yields a new equation: % 14.44/3.88 | (540) e4 = e2 % 14.44/3.88 | % 14.44/3.88 | Equations (540) can reduce 239 to: % 14.44/3.88 | (304) $false % 14.44/3.88 | % 14.44/3.88 |-The branch is then unsatisfiable % 14.44/3.88 |-Branch two: % 14.44/3.88 | (1168) all_0_33_33 = e3 & ~ (all_0_34_34 = e0) % 14.44/3.88 | % 14.44/3.88 | Applying alpha-rule on (1168) yields: % 14.44/3.88 | (1169) all_0_33_33 = e3 % 14.44/3.88 | (1170) ~ (all_0_34_34 = e0) % 14.44/3.88 | % 14.44/3.88 | Combining equations (1473,1169) yields a new equation: % 14.44/3.88 | (1398) e3 = e1 % 14.44/3.88 | % 14.44/3.88 | Equations (1398) can reduce 154 to: % 14.44/3.88 | (304) $false % 14.44/3.88 | % 14.44/3.88 |-The branch is then unsatisfiable % 14.44/3.88 |-Branch two: % 14.44/3.88 | (1172) all_0_35_35 = e2 & ~ (all_0_36_36 = e0) % 14.44/3.88 | % 14.44/3.88 | Applying alpha-rule on (1172) yields: % 14.44/3.88 | (1173) all_0_35_35 = e2 % 14.44/3.88 | (1174) ~ (all_0_36_36 = e0) % 14.44/3.88 | % 14.44/3.88 | Combining equations (2017,1173) yields a new equation: % 14.44/3.88 | (2141) all_0_56_56 = e2 % 14.44/3.88 | % 14.44/3.88 | Simplifying 2141 yields: % 14.44/3.88 | (443) all_0_56_56 = e2 % 14.44/3.88 | % 14.44/3.88 | Equations (443) can reduce 273 to: % 14.44/3.88 | (304) $false % 14.44/3.88 | % 14.44/3.88 |-The branch is then unsatisfiable % 14.44/3.88 |-Branch two: % 14.44/3.88 | (265) ~ (all_0_44_44 = e2) % 14.44/3.88 | (2145) all_0_48_48 = e2 | all_0_53_53 = e2 | all_0_56_56 = e2 % 14.44/3.88 | % 14.44/3.88 +-Applying beta-rule and splitting (2145), into two cases. % 14.44/3.88 |-Branch one: % 14.44/3.88 | (264) all_0_48_48 = e2 % 14.44/3.88 | % 14.44/3.88 | Combining equations (264,341) yields a new equation: % 14.44/3.88 | (342) e2 = e0 % 14.44/3.88 | % 14.44/3.88 | Simplifying 342 yields: % 14.44/3.88 | (343) e2 = e0 % 14.44/3.88 | % 14.44/3.88 | Equations (343) can reduce 63 to: % 14.44/3.88 | (304) $false % 14.44/3.88 | % 14.44/3.88 |-The branch is then unsatisfiable % 14.44/3.88 |-Branch two: % 14.44/3.88 | (1994) ~ (all_0_48_48 = e2) % 14.44/3.88 | (2151) all_0_53_53 = e2 | all_0_56_56 = e2 % 14.44/3.88 | % 14.44/3.88 +-Applying beta-rule and splitting (2151), into two cases. % 14.44/3.88 |-Branch one: % 14.44/3.88 | (619) all_0_53_53 = e2 % 14.44/3.88 | % 14.44/3.88 | Equations (619) can reduce 271 to: % 14.44/3.88 | (304) $false % 14.44/3.88 | % 14.44/3.88 |-The branch is then unsatisfiable % 14.44/3.88 |-Branch two: % 14.44/3.88 | (271) ~ (all_0_53_53 = e2) % 14.44/3.88 | (443) all_0_56_56 = e2 % 14.44/3.88 | % 14.44/3.88 | Equations (443) can reduce 273 to: % 14.44/3.88 | (304) $false % 14.44/3.88 | % 14.44/3.88 |-The branch is then unsatisfiable % 14.44/3.88 |-Branch two: % 14.44/3.88 | (358) ~ (all_0_58_58 = e0) % 14.44/3.88 | (359) all_0_58_58 = e3 % 14.44/3.88 | % 14.44/3.88 | Equations (359) can reduce 302 to: % 14.44/3.88 | (304) $false % 14.44/3.88 | % 14.44/3.88 |-The branch is then unsatisfiable % 14.44/3.88 |-Branch two: % 14.44/3.88 | (832) ~ (all_0_40_40 = e2) % 14.44/3.88 | (1104) all_0_40_40 = e4 | all_0_40_40 = e3 % 14.44/3.88 | % 14.44/3.88 +-Applying beta-rule and splitting (1104), into two cases. % 14.44/3.88 |-Branch one: % 14.44/3.88 | (646) all_0_40_40 = e4 % 14.44/3.88 | % 14.44/3.88 | Equations (646) can reduce 484 to: % 14.44/3.88 | (304) $false % 14.44/3.88 | % 14.44/3.88 |-The branch is then unsatisfiable % 14.44/3.88 |-Branch two: % 14.44/3.88 | (484) ~ (all_0_40_40 = e4) % 14.44/3.88 | (1113) all_0_40_40 = e3 % 14.44/3.88 | % 14.44/3.88 | Equations (1113) can reduce 1337 to: % 14.44/3.88 | (304) $false % 14.44/3.88 | % 14.44/3.88 |-The branch is then unsatisfiable % 14.44/3.88 |-Branch two: % 14.44/3.88 | (351) ~ (all_0_39_39 = e0) % 14.44/3.88 | (356) all_0_41_41 = e0 % 14.44/3.88 | % 14.44/3.88 | Combining equations (1120,356) yields a new equation: % 14.44/3.88 | (571) e3 = e0 % 14.44/3.88 | % 14.44/3.88 | Simplifying 571 yields: % 14.44/3.88 | (572) e3 = e0 % 14.44/3.88 | % 14.44/3.88 | Equations (572) can reduce 78 to: % 14.44/3.88 | (304) $false % 14.44/3.88 | % 14.44/3.88 |-The branch is then unsatisfiable % 14.44/3.88 |-Branch two: % 14.44/3.88 | (1123) ~ (all_0_41_41 = e3) % 14.44/3.88 | (1124) all_0_46_46 = e3 | all_0_58_58 = e3 % 14.44/3.88 | % 14.44/3.88 +-Applying beta-rule and splitting (1124), into two cases. % 14.44/3.88 |-Branch one: % 14.44/3.88 | (924) all_0_46_46 = e3 % 14.44/3.88 | % 14.44/3.88 | Combining equations (465,924) yields a new equation: % 14.44/3.88 | (461) e4 = e3 % 14.44/3.88 | % 14.44/3.88 | Simplifying 461 yields: % 14.44/3.88 | (462) e4 = e3 % 14.44/3.88 | % 14.44/3.88 | Equations (462) can reduce 39 to: % 14.44/3.88 | (304) $false % 14.44/3.88 | % 14.44/3.88 |-The branch is then unsatisfiable % 14.44/3.88 |-Branch two: % 14.44/3.88 | (1205) ~ (all_0_46_46 = e3) % 14.44/3.88 | (359) all_0_58_58 = e3 % 14.44/3.88 | % 14.44/3.88 | Equations (359) can reduce 302 to: % 14.44/3.88 | (304) $false % 14.44/3.88 | % 14.44/3.88 |-The branch is then unsatisfiable % 14.44/3.88 |-Branch two: % 14.44/3.88 | (348) ~ (all_0_42_42 = e0) % 14.44/3.88 | (1693) all_0_43_43 = e0 | all_0_44_44 = e0 | all_0_46_46 = e0 % 14.44/3.88 | % 14.44/3.88 +-Applying beta-rule and splitting (223), into two cases. % 14.44/3.88 |-Branch one: % 14.44/3.88 | (317) all_0_38_38 = e0 % 14.44/3.88 | % 14.44/3.88 | Combining equations (292,317) yields a new equation: % 14.44/3.88 | (318) e4 = e0 % 14.44/3.88 | % 14.44/3.88 | Simplifying 318 yields: % 14.44/3.88 | (319) e4 = e0 % 14.44/3.88 | % 14.44/3.88 | Equations (319) can reduce 12 to: % 14.44/3.88 | (304) $false % 14.44/3.88 | % 14.44/3.88 |-The branch is then unsatisfiable % 14.44/3.88 |-Branch two: % 14.44/3.88 | (291) ~ (all_0_38_38 = e0) % 14.44/3.88 | (331) all_0_42_42 = e0 | all_0_54_54 = e0 % 14.44/3.88 | % 14.44/3.88 +-Applying beta-rule and splitting (331), into two cases. % 14.44/3.88 |-Branch one: % 14.44/3.88 | (332) all_0_42_42 = e0 % 14.44/3.88 | % 14.44/3.88 | Equations (332) can reduce 348 to: % 14.44/3.88 | (304) $false % 14.44/3.88 | % 14.44/3.88 |-The branch is then unsatisfiable % 14.44/3.88 |-Branch two: % 14.44/3.88 | (348) ~ (all_0_42_42 = e0) % 14.44/3.88 | (349) all_0_54_54 = e0 % 14.44/3.88 | % 14.44/3.88 | Equations (349) can reduce 233 to: % 14.44/3.88 | (929) ~ (all_0_55_55 = e0) % 14.44/3.88 | % 14.44/3.88 | Simplifying 929 yields: % 14.44/3.88 | (930) ~ (all_0_55_55 = e0) % 14.44/3.88 | % 14.44/3.88 | Equations (349) can reduce 168 to: % 14.44/3.88 | (525) ~ (all_0_58_58 = e0) % 14.44/3.88 | % 14.44/3.88 | Simplifying 525 yields: % 14.44/3.88 | (358) ~ (all_0_58_58 = e0) % 14.44/3.88 | % 14.44/3.88 | Equations (349) can reduce 298 to: % 14.44/3.88 | (315) ~ (e4 = e0) % 14.44/3.88 | % 14.44/3.88 | Simplifying 315 yields: % 14.44/3.88 | (12) ~ (e4 = e0) % 14.44/3.88 | % 14.44/3.88 | Equations (349) can reduce 283 to: % 14.44/3.88 | (335) ~ (e2 = e0) % 14.44/3.88 | % 14.44/3.88 | Simplifying 335 yields: % 14.44/3.88 | (63) ~ (e2 = e0) % 14.44/3.88 | % 14.44/3.88 +-Applying beta-rule and splitting (65), into two cases. % 14.44/3.88 |-Branch one: % 14.44/3.88 | (356) all_0_41_41 = e0 % 14.44/3.88 | % 14.44/3.88 | Equations (356) can reduce 138 to: % 14.44/3.88 | (351) ~ (all_0_39_39 = e0) % 14.44/3.88 | % 14.44/3.88 +-Applying beta-rule and splitting (23), into two cases. % 14.44/3.88 |-Branch one: % 14.44/3.88 | (323) all_0_39_39 = e0 % 14.44/3.88 | % 14.44/3.88 | Equations (323) can reduce 351 to: % 14.44/3.88 | (304) $false % 14.44/3.88 | % 14.44/3.88 |-The branch is then unsatisfiable % 14.44/3.88 |-Branch two: % 14.44/3.88 | (351) ~ (all_0_39_39 = e0) % 14.44/3.88 | (352) all_0_43_43 = e0 | all_0_47_47 = e0 | all_0_55_55 = e0 % 14.44/3.88 | % 14.44/3.88 +-Applying beta-rule and splitting (352), into two cases. % 14.44/3.88 |-Branch one: % 14.44/3.88 | (430) all_0_43_43 = e0 % 14.44/3.88 | % 14.44/3.88 | Equations (430) can reduce 290 to: % 14.44/3.88 | (304) $false % 14.44/3.88 | % 14.44/3.88 |-The branch is then unsatisfiable % 14.44/3.88 |-Branch two: % 14.44/3.88 | (290) ~ (all_0_43_43 = e0) % 14.44/3.89 | (513) all_0_47_47 = e0 | all_0_55_55 = e0 % 14.44/3.89 | % 14.44/3.89 +-Applying beta-rule and splitting (513), into two cases. % 14.44/3.89 |-Branch one: % 14.44/3.89 | (370) all_0_47_47 = e0 % 14.44/3.89 | % 14.44/3.89 | Equations (370) can reduce 364 to: % 14.44/3.89 | (304) $false % 14.44/3.89 | % 14.44/3.89 |-The branch is then unsatisfiable % 14.44/3.89 |-Branch two: % 14.44/3.89 | (364) ~ (all_0_47_47 = e0) % 14.44/3.89 | (362) all_0_55_55 = e0 % 14.44/3.89 | % 14.44/3.89 | Equations (362) can reduce 930 to: % 14.44/3.89 | (304) $false % 14.44/3.89 | % 14.44/3.89 |-The branch is then unsatisfiable % 14.44/3.89 |-Branch two: % 14.44/3.89 | (312) ~ (all_0_41_41 = e0) % 14.44/3.89 | (2217) all_0_46_46 = e0 | all_0_50_50 = e0 | all_0_58_58 = e0 % 14.44/3.89 | % 14.44/3.89 +-Applying beta-rule and splitting (2217), into two cases. % 14.44/3.89 |-Branch one: % 14.44/3.89 | (1728) all_0_46_46 = e0 % 14.44/3.89 | % 14.44/3.89 | Combining equations (465,1728) yields a new equation: % 14.44/3.89 | (318) e4 = e0 % 14.44/3.89 | % 14.44/3.89 | Simplifying 318 yields: % 14.44/3.89 | (319) e4 = e0 % 14.44/3.89 | % 14.44/3.89 | Equations (319) can reduce 12 to: % 14.44/3.89 | (304) $false % 14.44/3.89 | % 14.44/3.89 |-The branch is then unsatisfiable % 14.44/3.89 |-Branch two: % 14.44/3.89 | (1634) ~ (all_0_46_46 = e0) % 14.44/3.89 | (2223) all_0_50_50 = e0 | all_0_58_58 = e0 % 14.44/3.89 | % 14.44/3.89 +-Applying beta-rule and splitting (2223), into two cases. % 14.44/3.89 |-Branch one: % 14.44/3.89 | (379) all_0_50_50 = e0 % 14.44/3.89 | % 14.44/3.89 | Combining equations (379,492) yields a new equation: % 14.44/3.89 | (343) e2 = e0 % 14.44/3.89 | % 14.44/3.89 | Equations (343) can reduce 63 to: % 14.44/3.89 | (304) $false % 14.44/3.89 | % 14.44/3.89 |-The branch is then unsatisfiable % 14.44/3.89 |-Branch two: % 14.44/3.89 | (2227) ~ (all_0_50_50 = e0) % 14.44/3.89 | (311) all_0_58_58 = e0 % 14.44/3.89 | % 14.44/3.89 | Equations (311) can reduce 358 to: % 14.44/3.89 | (304) $false % 14.44/3.89 | % 14.44/3.89 |-The branch is then unsatisfiable % 14.44/3.89 |-Branch two: % 14.44/3.89 | (430) all_0_43_43 = e0 % 14.44/3.89 | (924) all_0_46_46 = e3 % 14.44/3.89 | % 14.44/3.89 | Combining equations (465,924) yields a new equation: % 14.44/3.89 | (461) e4 = e3 % 14.44/3.89 | % 14.44/3.89 | Simplifying 461 yields: % 14.44/3.89 | (462) e4 = e3 % 14.44/3.89 | % 14.44/3.89 | Equations (462) can reduce 39 to: % 14.44/3.89 | (304) $false % 14.44/3.89 | % 14.44/3.89 |-The branch is then unsatisfiable % 14.44/3.89 |-Branch two: % 14.44/3.89 | (403) ~ (all_0_46_46 = e4) % 14.44/3.89 | (1511) all_0_50_50 = e4 | all_0_58_58 = e4 % 14.44/3.89 | % 14.44/3.89 +-Applying beta-rule and splitting (1511), into two cases. % 14.44/3.89 |-Branch one: % 14.44/3.89 | (496) all_0_50_50 = e4 % 14.44/3.89 | % 14.44/3.89 | Combining equations (492,496) yields a new equation: % 14.44/3.89 | (540) e4 = e2 % 14.44/3.89 | % 14.44/3.89 | Equations (540) can reduce 239 to: % 14.44/3.89 | (304) $false % 14.44/3.89 | % 14.44/3.89 |-The branch is then unsatisfiable % 14.44/3.89 |-Branch two: % 14.44/3.89 | (488) ~ (all_0_50_50 = e4) % 14.44/3.89 | (307) all_0_58_58 = e4 % 14.44/3.89 | % 14.44/3.89 | Equations (307) can reduce 301 to: % 14.44/3.89 | (304) $false % 14.44/3.89 | % 14.44/3.89 |-The branch is then unsatisfiable % 14.44/3.89 |-Branch two: % 14.44/3.89 | (307) all_0_58_58 = e4 % 14.44/3.89 | (349) all_0_54_54 = e0 % 14.44/3.89 | % 14.44/3.89 | Equations (307) can reduce 143 to: % 14.44/3.89 | (1414) ~ (all_0_41_41 = e4) % 14.44/3.89 | % 14.44/3.89 | Equations (307) can reduce 139 to: % 14.44/3.89 | (403) ~ (all_0_46_46 = e4) % 14.44/3.89 | % 14.44/3.89 | Equations (349) can reduce 233 to: % 14.44/3.89 | (929) ~ (all_0_55_55 = e0) % 14.44/3.89 | % 14.44/3.89 | Simplifying 929 yields: % 14.44/3.89 | (930) ~ (all_0_55_55 = e0) % 14.44/3.89 | % 14.44/3.89 | Equations (349) can reduce 200 to: % 14.44/3.89 | (365) ~ (all_0_56_56 = e0) % 14.44/3.89 | % 14.44/3.89 | Simplifying 365 yields: % 14.44/3.89 | (314) ~ (all_0_56_56 = e0) % 14.44/3.89 | % 14.44/3.89 | Equations (349) can reduce 283 to: % 14.44/3.89 | (335) ~ (e2 = e0) % 14.44/3.89 | % 14.44/3.89 | Simplifying 335 yields: % 14.44/3.89 | (63) ~ (e2 = e0) % 14.44/3.89 | % 14.44/3.89 | Equations (307) can reduce 126 to: % 14.44/3.89 | (614) ~ (all_0_55_55 = e4) % 14.44/3.89 | % 14.44/3.89 | Equations (307) can reduce 243 to: % 14.44/3.89 | (410) ~ (all_0_56_56 = e4) % 14.44/3.89 | % 14.44/3.89 | From (349) and (84) follows: % 14.44/3.89 | (2255) op(e4, e0) = all_0_5_5 % 14.44/3.89 | % 14.44/3.89 +-Applying beta-rule and splitting (205), into two cases. % 14.44/3.89 |-Branch one: % 14.44/3.89 | (736) all_0_42_42 = e1 % 14.44/3.89 | % 14.44/3.89 | Equations (736) can reduce 156 to: % 14.44/3.89 | (1662) ~ (all_0_43_43 = e1) % 14.44/3.89 | % 14.44/3.89 | Simplifying 1662 yields: % 14.44/3.89 | (425) ~ (all_0_43_43 = e1) % 14.44/3.89 | % 14.44/3.89 | Instantiating formula (180) with e4, e0, all_0_5_5, all_0_41_41 and discharging atoms op(e4, e0) = all_0_5_5, op(e4, e0) = all_0_41_41, yields: % 14.44/3.89 | (2259) all_0_5_5 = all_0_41_41 % 14.44/3.89 | % 14.44/3.89 | From (2259) and (2255) follows: % 14.44/3.89 | (48) op(e4, e0) = all_0_41_41 % 14.44/3.89 | % 14.44/3.89 +-Applying beta-rule and splitting (190), into two cases. % 14.44/3.89 |-Branch one: % 14.44/3.89 | (290) ~ (all_0_43_43 = e0) % 14.44/3.89 | % 14.44/3.89 +-Applying beta-rule and splitting (95), into two cases. % 14.44/3.89 |-Branch one: % 14.51/3.89 | (426) all_0_43_43 = e2 % 14.51/3.89 | % 14.51/3.89 | Equations (426) can reduce 288 to: % 14.51/3.89 | (304) $false % 14.51/3.89 | % 14.51/3.89 |-The branch is then unsatisfiable % 14.51/3.89 |-Branch two: % 14.51/3.89 | (288) ~ (all_0_43_43 = e2) % 14.51/3.89 | (429) all_0_43_43 = e3 | all_0_43_43 = e1 | all_0_43_43 = e0 % 14.51/3.89 | % 14.51/3.89 +-Applying beta-rule and splitting (23), into two cases. % 14.51/3.89 |-Branch one: % 14.51/3.89 | (323) all_0_39_39 = e0 % 14.51/3.89 | % 14.51/3.89 | Equations (323) can reduce 138 to: % 14.51/3.89 | (2267) ~ (all_0_41_41 = e0) % 14.51/3.89 | % 14.51/3.89 | Simplifying 2267 yields: % 14.51/3.89 | (312) ~ (all_0_41_41 = e0) % 14.51/3.89 | % 14.51/3.89 | Equations (323) can reduce 153 to: % 14.51/3.89 | (2269) ~ (all_0_43_43 = e0) % 14.51/3.89 | % 14.51/3.89 | Simplifying 2269 yields: % 14.51/3.89 | (290) ~ (all_0_43_43 = e0) % 14.51/3.89 | % 14.51/3.89 | Equations (323) can reduce 207 to: % 14.51/3.89 | (929) ~ (all_0_55_55 = e0) % 14.51/3.89 | % 14.51/3.89 | Simplifying 929 yields: % 14.51/3.89 | (930) ~ (all_0_55_55 = e0) % 14.51/3.89 | % 14.51/3.89 +-Applying beta-rule and splitting (216), into two cases. % 14.51/3.89 |-Branch one: % 14.51/3.89 | (576) all_0_39_39 = e2 % 14.51/3.89 | % 14.51/3.89 | Combining equations (323,576) yields a new equation: % 14.51/3.89 | (343) e2 = e0 % 14.51/3.89 | % 14.51/3.89 | Equations (343) can reduce 63 to: % 14.51/3.89 | (304) $false % 14.51/3.89 | % 14.51/3.89 |-The branch is then unsatisfiable % 14.51/3.89 |-Branch two: % 14.51/3.89 | (762) ~ (all_0_39_39 = e2) % 14.51/3.89 | (767) all_0_40_40 = e2 | all_0_41_41 = e2 % 14.51/3.89 | % 14.51/3.89 +-Applying beta-rule and splitting (767), into two cases. % 14.51/3.89 |-Branch one: % 14.51/3.89 | (770) all_0_40_40 = e2 % 14.51/3.89 | % 14.51/3.89 | Equations (770) can reduce 258 to: % 14.51/3.89 | (1041) ~ (all_0_41_41 = e2) % 14.51/3.89 | % 14.51/3.89 | Simplifying 1041 yields: % 14.51/3.89 | (542) ~ (all_0_41_41 = e2) % 14.51/3.89 | % 14.51/3.89 | Equations (770) can reduce 484 to: % 14.51/3.89 | (274) ~ (e4 = e2) % 14.51/3.89 | % 14.51/3.89 | Simplifying 274 yields: % 14.51/3.89 | (239) ~ (e4 = e2) % 14.51/3.89 | % 14.51/3.89 +-Applying beta-rule and splitting (429), into two cases. % 14.51/3.89 |-Branch one: % 14.51/3.89 | (430) all_0_43_43 = e0 % 14.51/3.89 | % 14.51/3.89 | Equations (430) can reduce 290 to: % 14.51/3.89 | (304) $false % 14.51/3.89 | % 14.51/3.89 |-The branch is then unsatisfiable % 14.51/3.89 |-Branch two: % 14.51/3.89 | (290) ~ (all_0_43_43 = e0) % 14.51/3.89 | (433) all_0_43_43 = e3 | all_0_43_43 = e1 % 14.51/3.89 | % 14.51/3.89 +-Applying beta-rule and splitting (433), into two cases. % 14.51/3.89 |-Branch one: % 14.51/3.89 | (434) all_0_43_43 = e3 % 14.51/3.89 | % 14.51/3.89 | Equations (434) can reduce 236 to: % 14.51/3.89 | (435) ~ (all_0_52_52 = e3) % 14.51/3.89 | % 14.51/3.89 | Simplifying 435 yields: % 14.51/3.89 | (436) ~ (all_0_52_52 = e3) % 14.51/3.89 | % 14.51/3.89 | Equations (434) can reduce 64 to: % 14.51/3.89 | (2290) ~ (all_0_55_55 = e3) % 14.51/3.89 | % 14.51/3.89 | Simplifying 2290 yields: % 14.51/3.89 | (1183) ~ (all_0_55_55 = e3) % 14.51/3.89 | % 14.51/3.89 +-Applying beta-rule and splitting (7), into two cases. % 14.51/3.89 |-Branch one: % 14.51/3.89 | (437) all_0_52_52 = e3 % 14.51/3.89 | % 14.51/3.89 | Equations (437) can reduce 436 to: % 14.51/3.89 | (304) $false % 14.51/3.89 | % 14.51/3.89 |-The branch is then unsatisfiable % 14.51/3.89 |-Branch two: % 14.51/3.89 | (436) ~ (all_0_52_52 = e3) % 14.51/3.89 | (440) all_0_53_53 = e3 % 14.51/3.89 | % 14.51/3.89 | Equations (440) can reduce 112 to: % 14.51/3.89 | (574) ~ (all_0_44_44 = e3) % 14.51/3.89 | % 14.51/3.89 | Equations (440) can reduce 253 to: % 14.51/3.89 | (441) ~ (all_0_56_56 = e3) % 14.51/3.89 | % 14.51/3.89 | Simplifying 441 yields: % 14.51/3.89 | (442) ~ (all_0_56_56 = e3) % 14.51/3.89 | % 14.51/3.89 +-Applying beta-rule and splitting (29), into two cases. % 14.51/3.89 |-Branch one: % 14.51/3.89 | (627) all_0_51_51 = e4 % 14.51/3.89 | % 14.51/3.89 | Combining equations (627,276) yields a new equation: % 14.51/3.89 | (724) e4 = e2 % 14.51/3.89 | % 14.51/3.89 | Simplifying 724 yields: % 14.51/3.89 | (540) e4 = e2 % 14.51/3.89 | % 14.51/3.89 | Equations (540) can reduce 239 to: % 14.51/3.89 | (304) $false % 14.51/3.89 | % 14.51/3.89 |-The branch is then unsatisfiable % 14.51/3.89 |-Branch two: % 14.51/3.89 | (630) ~ (all_0_51_51 = e4) % 14.51/3.89 | (631) all_0_52_52 = e4 | all_0_53_53 = e4 % 14.51/3.89 | % 14.51/3.89 +-Applying beta-rule and splitting (199), into two cases. % 14.51/3.89 |-Branch one: % 14.51/3.89 | (443) all_0_56_56 = e2 % 14.51/3.89 | % 14.51/3.89 | Equations (443) can reduce 189 to: % 14.51/3.89 | (265) ~ (all_0_44_44 = e2) % 14.51/3.89 | % 14.51/3.89 | Equations (443) can reduce 107 to: % 14.51/3.89 | (594) ~ (all_0_55_55 = e2) % 14.51/3.89 | % 14.51/3.89 +-Applying beta-rule and splitting (61), into two cases. % 14.51/3.89 |-Branch one: % 14.51/3.89 | (853) all_0_44_44 = e2 % 14.51/3.89 | % 14.51/3.89 | Equations (853) can reduce 265 to: % 14.51/3.89 | (304) $false % 14.51/3.89 | % 14.51/3.89 |-The branch is then unsatisfiable % 14.51/3.89 |-Branch two: % 14.51/3.89 | (265) ~ (all_0_44_44 = e2) % 14.51/3.89 | (2311) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e0 % 14.51/3.89 | % 14.51/3.89 +-Applying beta-rule and splitting (43), into two cases. % 14.51/3.89 |-Branch one: % 14.51/3.89 | (539) all_0_41_41 = e2 % 14.51/3.89 | % 14.51/3.89 | Equations (539) can reduce 542 to: % 14.51/3.89 | (304) $false % 14.51/3.89 | % 14.51/3.89 |-The branch is then unsatisfiable % 14.51/3.89 |-Branch two: % 14.51/3.89 | (542) ~ (all_0_41_41 = e2) % 14.51/3.89 | (1003) all_0_41_41 = e4 | all_0_41_41 = e3 | all_0_41_41 = e0 % 14.51/3.89 | % 14.51/3.89 +-Applying beta-rule and splitting (1003), into two cases. % 14.51/3.89 |-Branch one: % 14.51/3.89 | (480) all_0_41_41 = e4 % 14.51/3.89 | % 14.51/3.89 | Equations (480) can reduce 1414 to: % 14.51/3.89 | (304) $false % 14.51/3.89 | % 14.51/3.89 |-The branch is then unsatisfiable % 14.51/3.89 |-Branch two: % 14.51/3.89 | (1414) ~ (all_0_41_41 = e4) % 14.51/3.89 | (2319) all_0_41_41 = e3 | all_0_41_41 = e0 % 14.51/3.89 | % 14.51/3.89 +-Applying beta-rule and splitting (2319), into two cases. % 14.51/3.89 |-Branch one: % 14.51/3.89 | (356) all_0_41_41 = e0 % 14.51/3.89 | % 14.51/3.89 | Equations (356) can reduce 312 to: % 14.51/3.89 | (304) $false % 14.51/3.89 | % 14.51/3.89 |-The branch is then unsatisfiable % 14.51/3.89 |-Branch two: % 14.51/3.89 | (312) ~ (all_0_41_41 = e0) % 14.51/3.89 | (1120) all_0_41_41 = e3 % 14.51/3.89 | % 14.51/3.89 | Equations (1120) can reduce 55 to: % 14.51/3.89 | (1297) ~ (all_0_46_46 = e3) % 14.51/3.89 | % 14.51/3.89 | Simplifying 1297 yields: % 14.51/3.89 | (1205) ~ (all_0_46_46 = e3) % 14.51/3.89 | % 14.51/3.89 +-Applying beta-rule and splitting (2311), into two cases. % 14.51/3.89 |-Branch one: % 14.51/3.89 | (419) all_0_44_44 = e4 % 14.51/3.89 | % 14.51/3.89 | Equations (419) can reduce 574 to: % 14.51/3.89 | (39) ~ (e4 = e3) % 14.51/3.89 | % 14.51/3.89 +-Applying beta-rule and splitting (127), into two cases. % 14.51/3.89 |-Branch one: % 14.51/3.89 | (590) all_0_55_55 = e2 % 14.51/3.89 | % 14.51/3.89 | Equations (590) can reduce 594 to: % 14.51/3.89 | (304) $false % 14.51/3.89 | % 14.51/3.89 |-The branch is then unsatisfiable % 14.51/3.89 |-Branch two: % 14.51/3.89 | (594) ~ (all_0_55_55 = e2) % 14.51/3.89 | (2331) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 14.51/3.89 | % 14.51/3.89 +-Applying beta-rule and splitting (2331), into two cases. % 14.51/3.89 |-Branch one: % 14.51/3.89 | (611) all_0_55_55 = e4 % 14.51/3.89 | % 14.51/3.89 | Equations (611) can reduce 614 to: % 14.51/3.89 | (304) $false % 14.51/3.89 | % 14.51/3.89 |-The branch is then unsatisfiable % 14.51/3.89 |-Branch two: % 14.51/3.89 | (614) ~ (all_0_55_55 = e4) % 14.51/3.89 | (2335) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 14.51/3.89 | % 14.51/3.89 +-Applying beta-rule and splitting (2335), into two cases. % 14.51/3.89 |-Branch one: % 14.51/3.89 | (362) all_0_55_55 = e0 % 14.51/3.89 | % 14.51/3.89 | Equations (362) can reduce 930 to: % 14.51/3.89 | (304) $false % 14.51/3.89 | % 14.51/3.89 |-The branch is then unsatisfiable % 14.51/3.89 |-Branch two: % 14.51/3.89 | (930) ~ (all_0_55_55 = e0) % 14.51/3.89 | (2339) all_0_55_55 = e3 | all_0_55_55 = e1 % 14.51/3.89 | % 14.51/3.89 +-Applying beta-rule and splitting (2339), into two cases. % 14.51/3.89 |-Branch one: % 14.51/3.89 | (1131) all_0_55_55 = e3 % 14.51/3.89 | % 14.51/3.89 | Equations (1131) can reduce 1183 to: % 14.51/3.89 | (304) $false % 14.51/3.89 | % 14.51/3.89 |-The branch is then unsatisfiable % 14.51/3.89 |-Branch two: % 14.51/3.89 | (1183) ~ (all_0_55_55 = e3) % 14.51/3.89 | (749) all_0_55_55 = e1 % 14.51/3.89 | % 14.51/3.89 | Equations (749) can reduce 247 to: % 14.51/3.89 | (717) ~ (all_0_47_47 = e1) % 14.51/3.89 | % 14.51/3.89 | Equations (749) can reduce 232 to: % 14.51/3.89 | (68) ~ (all_0_52_52 = e1) % 14.51/3.89 | % 14.51/3.89 +-Applying beta-rule and splitting (181), into two cases. % 14.51/3.89 |-Branch one: % 14.51/3.89 | (772) all_0_52_52 = e2 % 14.51/3.89 | % 14.51/3.89 | Equations (772) can reduce 279 to: % 14.51/3.89 | (304) $false % 14.51/3.89 | % 14.51/3.89 |-The branch is then unsatisfiable % 14.51/3.89 |-Branch two: % 14.51/3.89 | (279) ~ (all_0_52_52 = e2) % 14.51/3.89 | (775) all_0_52_52 = e4 | all_0_52_52 = e3 % 14.51/3.89 | % 14.51/3.89 +-Applying beta-rule and splitting (140), into two cases. % 14.51/3.89 |-Branch one: % 14.51/3.89 | (658) all_0_47_47 = e1 % 14.51/3.89 | % 14.51/3.89 | Equations (658) can reduce 717 to: % 14.51/3.89 | (304) $false % 14.51/3.89 | % 14.51/3.89 |-The branch is then unsatisfiable % 14.51/3.89 |-Branch two: % 14.51/3.89 | (717) ~ (all_0_47_47 = e1) % 14.51/3.90 | (709) all_0_49_49 = e1 % 14.51/3.90 | % 14.51/3.90 +-Applying beta-rule and splitting (631), into two cases. % 14.51/3.90 |-Branch one: % 14.51/3.90 | (642) all_0_52_52 = e4 % 14.51/3.90 | % 14.51/3.90 | Equations (642) can reduce 101 to: % 14.51/3.90 | (656) ~ (all_0_47_47 = e4) % 14.51/3.90 | % 14.51/3.90 | Equations (642) can reduce 279 to: % 14.51/3.90 | (239) ~ (e4 = e2) % 14.51/3.90 | % 14.51/3.90 | Equations (642) can reduce 68 to: % 14.51/3.90 | (261) ~ (e4 = e1) % 14.51/3.90 | % 14.51/3.90 +-Applying beta-rule and splitting (219), into two cases. % 14.51/3.90 |-Branch one: % 14.51/3.90 | (781) all_0_47_47 = e4 % 14.51/3.90 | % 14.51/3.90 | Equations (781) can reduce 656 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (656) ~ (all_0_47_47 = e4) % 14.51/3.90 | (784) all_0_49_49 = e4 | all_0_50_50 = e4 % 14.51/3.90 | % 14.51/3.90 +-Applying beta-rule and splitting (57), into two cases. % 14.51/3.90 |-Branch one: % 14.51/3.90 | (646) all_0_40_40 = e4 % 14.51/3.90 | % 14.51/3.90 | Combining equations (646,770) yields a new equation: % 14.51/3.90 | (724) e4 = e2 % 14.51/3.90 | % 14.51/3.90 | Simplifying 724 yields: % 14.51/3.90 | (540) e4 = e2 % 14.51/3.90 | % 14.51/3.90 | Equations (540) can reduce 239 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (484) ~ (all_0_40_40 = e4) % 14.51/3.90 | (649) all_0_45_45 = e4 | all_0_49_49 = e4 | all_0_57_57 = e4 % 14.51/3.90 | % 14.51/3.90 | Equations (770) can reduce 484 to: % 14.51/3.90 | (274) ~ (e4 = e2) % 14.51/3.90 | % 14.51/3.90 | Simplifying 274 yields: % 14.51/3.90 | (239) ~ (e4 = e2) % 14.51/3.90 | % 14.51/3.90 +-Applying beta-rule and splitting (784), into two cases. % 14.51/3.90 |-Branch one: % 14.51/3.90 | (654) all_0_49_49 = e4 % 14.51/3.90 | % 14.51/3.90 | Combining equations (709,654) yields a new equation: % 14.51/3.90 | (607) e4 = e1 % 14.51/3.90 | % 14.51/3.90 | Equations (607) can reduce 261 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (722) ~ (all_0_49_49 = e4) % 14.51/3.90 | (496) all_0_50_50 = e4 % 14.51/3.90 | % 14.51/3.90 | Combining equations (496,492) yields a new equation: % 14.51/3.90 | (724) e4 = e2 % 14.51/3.90 | % 14.51/3.90 | Simplifying 724 yields: % 14.51/3.90 | (540) e4 = e2 % 14.51/3.90 | % 14.51/3.90 | Equations (540) can reduce 239 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (727) ~ (all_0_52_52 = e4) % 14.51/3.90 | (623) all_0_53_53 = e4 % 14.51/3.90 | % 14.51/3.90 | Combining equations (440,623) yields a new equation: % 14.51/3.90 | (462) e4 = e3 % 14.51/3.90 | % 14.51/3.90 | Equations (462) can reduce 39 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (422) ~ (all_0_44_44 = e4) % 14.51/3.90 | (2383) all_0_44_44 = e3 | all_0_44_44 = e0 % 14.51/3.90 | % 14.51/3.90 +-Applying beta-rule and splitting (6), into two cases. % 14.51/3.90 |-Branch one: % 14.51/3.90 | (544) all_0_46_46 = e2 % 14.51/3.90 | % 14.51/3.90 | Equations (544) can reduce 839 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (839) ~ (all_0_46_46 = e2) % 14.51/3.90 | (1742) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e0 % 14.51/3.90 | % 14.51/3.90 +-Applying beta-rule and splitting (1742), into two cases. % 14.51/3.90 |-Branch one: % 14.51/3.90 | (465) all_0_46_46 = e4 % 14.51/3.90 | % 14.51/3.90 | Equations (465) can reduce 403 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (403) ~ (all_0_46_46 = e4) % 14.51/3.90 | (1746) all_0_46_46 = e3 | all_0_46_46 = e0 % 14.51/3.90 | % 14.51/3.90 +-Applying beta-rule and splitting (1746), into two cases. % 14.51/3.90 |-Branch one: % 14.51/3.90 | (1728) all_0_46_46 = e0 % 14.51/3.90 | % 14.51/3.90 | Equations (1728) can reduce 121 to: % 14.51/3.90 | (334) ~ (all_0_44_44 = e0) % 14.51/3.90 | % 14.51/3.90 +-Applying beta-rule and splitting (2383), into two cases. % 14.51/3.90 |-Branch one: % 14.51/3.90 | (337) all_0_44_44 = e0 % 14.51/3.90 | % 14.51/3.90 | Equations (337) can reduce 334 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (334) ~ (all_0_44_44 = e0) % 14.51/3.90 | (570) all_0_44_44 = e3 % 14.51/3.90 | % 14.51/3.90 | Equations (570) can reduce 574 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (1634) ~ (all_0_46_46 = e0) % 14.51/3.90 | (924) all_0_46_46 = e3 % 14.51/3.90 | % 14.51/3.90 | Equations (924) can reduce 1205 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (273) ~ (all_0_56_56 = e2) % 14.51/3.90 | (446) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0 % 14.51/3.90 | % 14.51/3.90 +-Applying beta-rule and splitting (446), into two cases. % 14.51/3.90 |-Branch one: % 14.51/3.90 | (447) all_0_56_56 = e4 % 14.51/3.90 | % 14.51/3.90 | Equations (447) can reduce 410 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (410) ~ (all_0_56_56 = e4) % 14.51/3.90 | (450) all_0_56_56 = e3 | all_0_56_56 = e0 % 14.51/3.90 | % 14.51/3.90 +-Applying beta-rule and splitting (450), into two cases. % 14.51/3.90 |-Branch one: % 14.51/3.90 | (346) all_0_56_56 = e0 % 14.51/3.90 | % 14.51/3.90 | Equations (346) can reduce 314 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (314) ~ (all_0_56_56 = e0) % 14.51/3.90 | (454) all_0_56_56 = e3 % 14.51/3.90 | % 14.51/3.90 | Equations (454) can reduce 442 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (456) ~ (all_0_43_43 = e3) % 14.51/3.90 | (457) all_0_43_43 = e1 % 14.51/3.90 | % 14.51/3.90 | Equations (457) can reduce 425 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (832) ~ (all_0_40_40 = e2) % 14.51/3.90 | (539) all_0_41_41 = e2 % 14.51/3.90 | % 14.51/3.90 | Equations (539) can reduce 542 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (351) ~ (all_0_39_39 = e0) % 14.51/3.90 | (352) all_0_43_43 = e0 | all_0_47_47 = e0 | all_0_55_55 = e0 % 14.51/3.90 | % 14.51/3.90 +-Applying beta-rule and splitting (352), into two cases. % 14.51/3.90 |-Branch one: % 14.51/3.90 | (430) all_0_43_43 = e0 % 14.51/3.90 | % 14.51/3.90 | Equations (430) can reduce 290 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (290) ~ (all_0_43_43 = e0) % 14.51/3.90 | (513) all_0_47_47 = e0 | all_0_55_55 = e0 % 14.51/3.90 | % 14.51/3.90 +-Applying beta-rule and splitting (513), into two cases. % 14.51/3.90 |-Branch one: % 14.51/3.90 | (370) all_0_47_47 = e0 % 14.51/3.90 | % 14.51/3.90 | Equations (370) can reduce 364 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (364) ~ (all_0_47_47 = e0) % 14.51/3.90 | (362) all_0_55_55 = e0 % 14.51/3.90 | % 14.51/3.90 | Equations (362) can reduce 930 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (430) all_0_43_43 = e0 % 14.51/3.90 | (924) all_0_46_46 = e3 % 14.51/3.90 | % 14.51/3.90 | Equations (430) can reduce 153 to: % 14.51/3.90 | (351) ~ (all_0_39_39 = e0) % 14.51/3.90 | % 14.51/3.90 | Equations (430) can reduce 40 to: % 14.51/3.90 | (315) ~ (e4 = e0) % 14.51/3.90 | % 14.51/3.90 | Simplifying 315 yields: % 14.51/3.90 | (12) ~ (e4 = e0) % 14.51/3.90 | % 14.51/3.90 | From (924) and (148) follows: % 14.51/3.90 | (1127) op(e3, e3) = all_0_34_34 % 14.51/3.90 | % 14.51/3.90 | From (430) and (83) follows: % 14.51/3.90 | (1153) op(e3, e3) = e0 % 14.51/3.90 | % 14.51/3.90 +-Applying beta-rule and splitting (178), into two cases. % 14.51/3.90 |-Branch one: % 14.51/3.90 | (317) all_0_38_38 = e0 % 14.51/3.90 | % 14.51/3.90 | Combining equations (292,317) yields a new equation: % 14.51/3.90 | (318) e4 = e0 % 14.51/3.90 | % 14.51/3.90 | Simplifying 318 yields: % 14.51/3.90 | (319) e4 = e0 % 14.51/3.90 | % 14.51/3.90 | Equations (319) can reduce 12 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (291) ~ (all_0_38_38 = e0) % 14.51/3.90 | (322) all_0_39_39 = e0 | all_0_41_41 = e0 % 14.51/3.90 | % 14.51/3.90 +-Applying beta-rule and splitting (322), into two cases. % 14.51/3.90 |-Branch one: % 14.51/3.90 | (323) all_0_39_39 = e0 % 14.51/3.90 | % 14.51/3.90 | Equations (323) can reduce 351 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (351) ~ (all_0_39_39 = e0) % 14.51/3.90 | (356) all_0_41_41 = e0 % 14.51/3.90 | % 14.51/3.90 | From (356) and (238) follows: % 14.51/3.90 | (2447) op(e4, e0) = all_0_32_32 % 14.51/3.90 | % 14.51/3.90 | From (356) and (48) follows: % 14.51/3.90 | (2448) op(e4, e0) = e0 % 14.51/3.90 | % 14.51/3.90 | Instantiating formula (180) with e4, e0, e0, all_0_32_32 and discharging atoms op(e4, e0) = all_0_32_32, op(e4, e0) = e0, yields: % 14.51/3.90 | (1160) all_0_32_32 = e0 % 14.51/3.90 | % 14.51/3.90 | Instantiating formula (180) with e3, e3, e0, all_0_34_34 and discharging atoms op(e3, e3) = all_0_34_34, op(e3, e3) = e0, yields: % 14.51/3.90 | (679) all_0_34_34 = e0 % 14.51/3.90 | % 14.51/3.90 +-Applying beta-rule and splitting (172), into two cases. % 14.51/3.90 |-Branch one: % 14.51/3.90 | (1163) (all_0_31_31 = e4 & ~ (all_0_32_32 = e0)) | (all_0_33_33 = e3 & ~ (all_0_34_34 = e0)) % 14.51/3.90 | % 14.51/3.90 +-Applying beta-rule and splitting (1163), into two cases. % 14.51/3.90 |-Branch one: % 14.51/3.90 | (1164) all_0_31_31 = e4 & ~ (all_0_32_32 = e0) % 14.51/3.90 | % 14.51/3.90 | Applying alpha-rule on (1164) yields: % 14.51/3.90 | (1165) all_0_31_31 = e4 % 14.51/3.90 | (1166) ~ (all_0_32_32 = e0) % 14.51/3.90 | % 14.51/3.90 | Equations (1160) can reduce 1166 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (1168) all_0_33_33 = e3 & ~ (all_0_34_34 = e0) % 14.51/3.90 | % 14.51/3.90 | Applying alpha-rule on (1168) yields: % 14.51/3.90 | (1169) all_0_33_33 = e3 % 14.51/3.90 | (1170) ~ (all_0_34_34 = e0) % 14.51/3.90 | % 14.51/3.90 | Equations (679) can reduce 1170 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (1172) all_0_35_35 = e2 & ~ (all_0_36_36 = e0) % 14.51/3.90 | % 14.51/3.90 | Applying alpha-rule on (1172) yields: % 14.51/3.90 | (1173) all_0_35_35 = e2 % 14.51/3.90 | (1174) ~ (all_0_36_36 = e0) % 14.51/3.90 | % 14.51/3.90 | Equations (1162) can reduce 1174 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (605) ~ (all_0_42_42 = e1) % 14.51/3.90 | (604) all_0_54_54 = e1 % 14.51/3.90 | % 14.51/3.90 | Combining equations (349,604) yields a new equation: % 14.51/3.90 | (750) e1 = e0 % 14.51/3.90 | % 14.51/3.90 | Equations (750) can reduce 150 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (476) ~ (all_0_38_38 = e4) % 14.51/3.90 | (317) all_0_38_38 = e0 % 14.51/3.90 | % 14.51/3.90 | Equations (317) can reduce 202 to: % 14.51/3.90 | (481) ~ (all_0_39_39 = e0) % 14.51/3.90 | % 14.51/3.90 | Simplifying 481 yields: % 14.51/3.90 | (351) ~ (all_0_39_39 = e0) % 14.51/3.90 | % 14.51/3.90 | Equations (317) can reduce 20 to: % 14.51/3.90 | (2267) ~ (all_0_41_41 = e0) % 14.51/3.90 | % 14.51/3.90 | Simplifying 2267 yields: % 14.51/3.90 | (312) ~ (all_0_41_41 = e0) % 14.51/3.90 | % 14.51/3.90 | Equations (317) can reduce 27 to: % 14.51/3.90 | (1580) ~ (all_0_42_42 = e0) % 14.51/3.90 | % 14.51/3.90 | Simplifying 1580 yields: % 14.51/3.90 | (348) ~ (all_0_42_42 = e0) % 14.51/3.90 | % 14.51/3.90 | Equations (317) can reduce 21 to: % 14.51/3.90 | (1462) ~ (e3 = e0) % 14.51/3.90 | % 14.51/3.90 | Simplifying 1462 yields: % 14.51/3.90 | (78) ~ (e3 = e0) % 14.51/3.90 | % 14.51/3.90 | Equations (317) can reduce 222 to: % 14.51/3.90 | (335) ~ (e2 = e0) % 14.51/3.90 | % 14.51/3.90 | Simplifying 335 yields: % 14.51/3.90 | (63) ~ (e2 = e0) % 14.51/3.90 | % 14.51/3.90 | From (317) and (226) follows: % 14.51/3.90 | (1088) op(e4, e4) = e0 % 14.51/3.90 | % 14.51/3.90 +-Applying beta-rule and splitting (82), into two cases. % 14.51/3.90 |-Branch one: % 14.51/3.90 | (291) ~ (all_0_38_38 = e0) % 14.51/3.90 | % 14.51/3.90 | Equations (317) can reduce 291 to: % 14.51/3.90 | (304) $false % 14.51/3.90 | % 14.51/3.90 |-The branch is then unsatisfiable % 14.51/3.90 |-Branch two: % 14.51/3.90 | (317) all_0_38_38 = e0 % 14.51/3.90 | (480) all_0_41_41 = e4 % 14.51/3.90 | % 14.51/3.90 | Equations (480) can reduce 312 to: % 14.51/3.90 | (12) ~ (e4 = e0) % 14.51/3.90 | % 14.51/3.90 | From (480) and (238) follows: % 14.51/3.90 | (1096) op(e4, e4) = all_0_32_32 % 14.51/3.90 | % 14.51/3.90 +-Applying beta-rule and splitting (133), into two cases. % 14.51/3.90 |-Branch one: % 14.51/3.90 | (1120) all_0_41_41 = e3 % 14.51/3.90 | % 14.51/3.90 | Combining equations (480,1120) yields a new equation: % 14.51/3.90 | (461) e4 = e3 % 14.51/3.90 | % 14.51/3.90 | Simplifying 461 yields: % 14.51/3.90 | (462) e4 = e3 % 14.51/3.91 | % 14.51/3.91 | Equations (462) can reduce 39 to: % 14.51/3.91 | (304) $false % 14.51/3.91 | % 14.51/3.91 |-The branch is then unsatisfiable % 14.51/3.91 |-Branch two: % 14.51/3.91 | (1123) ~ (all_0_41_41 = e3) % 14.51/3.91 | (1124) all_0_46_46 = e3 | all_0_58_58 = e3 % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (1124), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (924) all_0_46_46 = e3 % 14.51/3.91 | % 14.51/3.91 | From (924) and (148) follows: % 14.51/3.91 | (1127) op(e3, e3) = all_0_34_34 % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (30), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (332) all_0_42_42 = e0 % 14.51/3.91 | % 14.51/3.91 | Equations (332) can reduce 348 to: % 14.51/3.91 | (304) $false % 14.51/3.91 | % 14.51/3.91 |-The branch is then unsatisfiable % 14.51/3.91 |-Branch two: % 14.51/3.91 | (348) ~ (all_0_42_42 = e0) % 14.51/3.91 | (1693) all_0_43_43 = e0 | all_0_44_44 = e0 | all_0_46_46 = e0 % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (1693), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (430) all_0_43_43 = e0 % 14.51/3.91 | % 14.51/3.91 | From (430) and (83) follows: % 14.51/3.91 | (1153) op(e3, e3) = e0 % 14.51/3.91 | % 14.51/3.91 | Instantiating formula (180) with e4, e4, e0, all_0_32_32 and discharging atoms op(e4, e4) = all_0_32_32, op(e4, e4) = e0, yields: % 14.51/3.91 | (1160) all_0_32_32 = e0 % 14.51/3.91 | % 14.51/3.91 | Instantiating formula (180) with e3, e3, e0, all_0_34_34 and discharging atoms op(e3, e3) = all_0_34_34, op(e3, e3) = e0, yields: % 14.51/3.91 | (679) all_0_34_34 = e0 % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (172), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (1163) (all_0_31_31 = e4 & ~ (all_0_32_32 = e0)) | (all_0_33_33 = e3 & ~ (all_0_34_34 = e0)) % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (1163), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (1164) all_0_31_31 = e4 & ~ (all_0_32_32 = e0) % 14.51/3.91 | % 14.51/3.91 | Applying alpha-rule on (1164) yields: % 14.51/3.91 | (1165) all_0_31_31 = e4 % 14.51/3.91 | (1166) ~ (all_0_32_32 = e0) % 14.51/3.91 | % 14.51/3.91 | Equations (1160) can reduce 1166 to: % 14.51/3.91 | (304) $false % 14.51/3.91 | % 14.51/3.91 |-The branch is then unsatisfiable % 14.51/3.91 |-Branch two: % 14.51/3.91 | (1168) all_0_33_33 = e3 & ~ (all_0_34_34 = e0) % 14.51/3.91 | % 14.51/3.91 | Applying alpha-rule on (1168) yields: % 14.51/3.91 | (1169) all_0_33_33 = e3 % 14.51/3.91 | (1170) ~ (all_0_34_34 = e0) % 14.51/3.91 | % 14.51/3.91 | Equations (679) can reduce 1170 to: % 14.51/3.91 | (304) $false % 14.51/3.91 | % 14.51/3.91 |-The branch is then unsatisfiable % 14.51/3.91 |-Branch two: % 14.51/3.91 | (1172) all_0_35_35 = e2 & ~ (all_0_36_36 = e0) % 14.51/3.91 | % 14.51/3.91 | Applying alpha-rule on (1172) yields: % 14.51/3.91 | (1173) all_0_35_35 = e2 % 14.51/3.91 | (1174) ~ (all_0_36_36 = e0) % 14.51/3.91 | % 14.51/3.91 | Equations (1162) can reduce 1174 to: % 14.51/3.91 | (304) $false % 14.51/3.91 | % 14.51/3.91 |-The branch is then unsatisfiable % 14.51/3.91 |-Branch two: % 14.51/3.91 | (290) ~ (all_0_43_43 = e0) % 14.51/3.91 | (1697) all_0_44_44 = e0 | all_0_46_46 = e0 % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (23), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (323) all_0_39_39 = e0 % 14.51/3.91 | % 14.51/3.91 | Equations (323) can reduce 351 to: % 14.51/3.91 | (304) $false % 14.51/3.91 | % 14.51/3.91 |-The branch is then unsatisfiable % 14.51/3.91 |-Branch two: % 14.51/3.91 | (351) ~ (all_0_39_39 = e0) % 14.51/3.91 | (352) all_0_43_43 = e0 | all_0_47_47 = e0 | all_0_55_55 = e0 % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (352), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (430) all_0_43_43 = e0 % 14.51/3.91 | % 14.51/3.91 | Equations (430) can reduce 290 to: % 14.51/3.91 | (304) $false % 14.51/3.91 | % 14.51/3.91 |-The branch is then unsatisfiable % 14.51/3.91 |-Branch two: % 14.51/3.91 | (290) ~ (all_0_43_43 = e0) % 14.51/3.91 | (513) all_0_47_47 = e0 | all_0_55_55 = e0 % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (65), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (356) all_0_41_41 = e0 % 14.51/3.91 | % 14.51/3.91 | Combining equations (480,356) yields a new equation: % 14.51/3.91 | (318) e4 = e0 % 14.51/3.91 | % 14.51/3.91 | Simplifying 318 yields: % 14.51/3.91 | (319) e4 = e0 % 14.51/3.91 | % 14.51/3.91 | Equations (319) can reduce 12 to: % 14.51/3.91 | (304) $false % 14.51/3.91 | % 14.51/3.91 |-The branch is then unsatisfiable % 14.51/3.91 |-Branch two: % 14.51/3.91 | (312) ~ (all_0_41_41 = e0) % 14.51/3.91 | (2217) all_0_46_46 = e0 | all_0_50_50 = e0 | all_0_58_58 = e0 % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (2217), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (1728) all_0_46_46 = e0 % 14.51/3.91 | % 14.51/3.91 | Combining equations (924,1728) yields a new equation: % 14.51/3.91 | (571) e3 = e0 % 14.51/3.91 | % 14.51/3.91 | Simplifying 571 yields: % 14.51/3.91 | (572) e3 = e0 % 14.51/3.91 | % 14.51/3.91 | Equations (572) can reduce 78 to: % 14.51/3.91 | (304) $false % 14.51/3.91 | % 14.51/3.91 |-The branch is then unsatisfiable % 14.51/3.91 |-Branch two: % 14.51/3.91 | (1634) ~ (all_0_46_46 = e0) % 14.51/3.91 | (2223) all_0_50_50 = e0 | all_0_58_58 = e0 % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (2223), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (379) all_0_50_50 = e0 % 14.51/3.91 | % 14.51/3.91 | Combining equations (492,379) yields a new equation: % 14.51/3.91 | (342) e2 = e0 % 14.51/3.91 | % 14.51/3.91 | Simplifying 342 yields: % 14.51/3.91 | (343) e2 = e0 % 14.51/3.91 | % 14.51/3.91 | Equations (343) can reduce 63 to: % 14.51/3.91 | (304) $false % 14.51/3.91 | % 14.51/3.91 |-The branch is then unsatisfiable % 14.51/3.91 |-Branch two: % 14.51/3.91 | (2227) ~ (all_0_50_50 = e0) % 14.51/3.91 | (311) all_0_58_58 = e0 % 14.51/3.91 | % 14.51/3.91 | Equations (311) can reduce 126 to: % 14.51/3.91 | (930) ~ (all_0_55_55 = e0) % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (513), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (370) all_0_47_47 = e0 % 14.51/3.91 | % 14.51/3.91 | Equations (370) can reduce 364 to: % 14.51/3.91 | (304) $false % 14.51/3.91 | % 14.51/3.91 |-The branch is then unsatisfiable % 14.51/3.91 |-Branch two: % 14.51/3.91 | (364) ~ (all_0_47_47 = e0) % 14.51/3.91 | (362) all_0_55_55 = e0 % 14.51/3.91 | % 14.51/3.91 | Equations (362) can reduce 930 to: % 14.51/3.91 | (304) $false % 14.51/3.91 | % 14.51/3.91 |-The branch is then unsatisfiable % 14.51/3.91 |-Branch two: % 14.51/3.91 | (1205) ~ (all_0_46_46 = e3) % 14.51/3.91 | (359) all_0_58_58 = e3 % 14.51/3.91 | % 14.51/3.91 | Equations (359) can reduce 302 to: % 14.51/3.91 | (304) $false % 14.51/3.91 | % 14.51/3.91 |-The branch is then unsatisfiable % 14.51/3.91 |-Branch two: % 14.51/3.91 | (359) all_0_58_58 = e3 % 14.51/3.91 | (362) all_0_55_55 = e0 % 14.51/3.91 | % 14.51/3.91 | Equations (362) can reduce 207 to: % 14.51/3.91 | (351) ~ (all_0_39_39 = e0) % 14.51/3.91 | % 14.51/3.91 | Equations (359) can reduce 143 to: % 14.51/3.91 | (1123) ~ (all_0_41_41 = e3) % 14.51/3.91 | % 14.51/3.91 | Equations (362) can reduce 64 to: % 14.51/3.91 | (290) ~ (all_0_43_43 = e0) % 14.51/3.91 | % 14.51/3.91 | Equations (362) can reduce 233 to: % 14.51/3.91 | (313) ~ (all_0_54_54 = e0) % 14.51/3.91 | % 14.51/3.91 | Equations (362) can reduce 107 to: % 14.51/3.91 | (365) ~ (all_0_56_56 = e0) % 14.51/3.91 | % 14.51/3.91 | Simplifying 365 yields: % 14.51/3.91 | (314) ~ (all_0_56_56 = e0) % 14.51/3.91 | % 14.51/3.91 | Equations (359) can reduce 289 to: % 14.51/3.91 | (228) ~ (e3 = e2) % 14.51/3.91 | % 14.51/3.91 | From (362) and (93) follows: % 14.51/3.91 | (527) op(e3, e0) = all_0_14_14 % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (18), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (576) all_0_39_39 = e2 % 14.51/3.91 | % 14.51/3.91 | Equations (576) can reduce 202 to: % 14.51/3.91 | (222) ~ (all_0_38_38 = e2) % 14.51/3.91 | % 14.51/3.91 | Equations (576) can reduce 138 to: % 14.51/3.91 | (1041) ~ (all_0_41_41 = e2) % 14.51/3.91 | % 14.51/3.91 | Simplifying 1041 yields: % 14.51/3.91 | (542) ~ (all_0_41_41 = e2) % 14.51/3.91 | % 14.51/3.91 | Equations (576) can reduce 153 to: % 14.51/3.91 | (1043) ~ (all_0_43_43 = e2) % 14.51/3.91 | % 14.51/3.91 | Simplifying 1043 yields: % 14.51/3.91 | (288) ~ (all_0_43_43 = e2) % 14.51/3.91 | % 14.51/3.91 | Equations (576) can reduce 98 to: % 14.51/3.91 | (278) ~ (all_0_52_52 = e2) % 14.51/3.91 | % 14.51/3.91 | Simplifying 278 yields: % 14.51/3.91 | (279) ~ (all_0_52_52 = e2) % 14.51/3.91 | % 14.51/3.91 | Equations (576) can reduce 351 to: % 14.51/3.91 | (63) ~ (e2 = e0) % 14.51/3.91 | % 14.51/3.91 | From (576) and (91) follows: % 14.51/3.91 | (585) op(e3, e2) = all_0_7_7 % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (28), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (786) all_0_39_39 = e3 % 14.51/3.91 | % 14.51/3.91 | Combining equations (576,786) yields a new equation: % 14.51/3.91 | (760) e3 = e2 % 14.51/3.91 | % 14.51/3.91 | Equations (760) can reduce 228 to: % 14.51/3.91 | (304) $false % 14.51/3.91 | % 14.51/3.91 |-The branch is then unsatisfiable % 14.51/3.91 |-Branch two: % 14.51/3.91 | (809) ~ (all_0_39_39 = e3) % 14.51/3.91 | (810) all_0_40_40 = e3 | all_0_41_41 = e3 % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (810), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (1113) all_0_40_40 = e3 % 14.51/3.91 | % 14.51/3.91 | Equations (1113) can reduce 151 to: % 14.51/3.91 | (21) ~ (all_0_38_38 = e3) % 14.51/3.91 | % 14.51/3.91 | Equations (1113) can reduce 15 to: % 14.51/3.91 | (2580) ~ (all_0_45_45 = e3) % 14.51/3.91 | % 14.51/3.91 | Simplifying 2580 yields: % 14.51/3.91 | (1400) ~ (all_0_45_45 = e3) % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (158), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (425) ~ (all_0_43_43 = e1) % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (95), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (426) all_0_43_43 = e2 % 14.51/3.91 | % 14.51/3.91 | Equations (426) can reduce 288 to: % 14.51/3.91 | (304) $false % 14.51/3.91 | % 14.51/3.91 |-The branch is then unsatisfiable % 14.51/3.91 |-Branch two: % 14.51/3.91 | (288) ~ (all_0_43_43 = e2) % 14.51/3.91 | (429) all_0_43_43 = e3 | all_0_43_43 = e1 | all_0_43_43 = e0 % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (429), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (430) all_0_43_43 = e0 % 14.51/3.91 | % 14.51/3.91 | Equations (430) can reduce 290 to: % 14.51/3.91 | (304) $false % 14.51/3.91 | % 14.51/3.91 |-The branch is then unsatisfiable % 14.51/3.91 |-Branch two: % 14.51/3.91 | (290) ~ (all_0_43_43 = e0) % 14.51/3.91 | (433) all_0_43_43 = e3 | all_0_43_43 = e1 % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (433), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (434) all_0_43_43 = e3 % 14.51/3.91 | % 14.51/3.91 | Equations (434) can reduce 255 to: % 14.51/3.91 | (1297) ~ (all_0_46_46 = e3) % 14.51/3.91 | % 14.51/3.91 | Simplifying 1297 yields: % 14.51/3.91 | (1205) ~ (all_0_46_46 = e3) % 14.51/3.91 | % 14.51/3.91 | Equations (434) can reduce 236 to: % 14.51/3.91 | (435) ~ (all_0_52_52 = e3) % 14.51/3.91 | % 14.51/3.91 | Simplifying 435 yields: % 14.51/3.91 | (436) ~ (all_0_52_52 = e3) % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (7), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (437) all_0_52_52 = e3 % 14.51/3.91 | % 14.51/3.91 | Equations (437) can reduce 436 to: % 14.51/3.91 | (304) $false % 14.51/3.91 | % 14.51/3.91 |-The branch is then unsatisfiable % 14.51/3.91 |-Branch two: % 14.51/3.91 | (436) ~ (all_0_52_52 = e3) % 14.51/3.91 | (440) all_0_53_53 = e3 % 14.51/3.91 | % 14.51/3.91 | Equations (440) can reduce 112 to: % 14.51/3.91 | (574) ~ (all_0_44_44 = e3) % 14.51/3.91 | % 14.51/3.91 | Equations (440) can reduce 52 to: % 14.51/3.91 | (436) ~ (all_0_52_52 = e3) % 14.51/3.91 | % 14.51/3.91 | Equations (440) can reduce 253 to: % 14.51/3.91 | (441) ~ (all_0_56_56 = e3) % 14.51/3.91 | % 14.51/3.91 | Simplifying 441 yields: % 14.51/3.91 | (442) ~ (all_0_56_56 = e3) % 14.51/3.91 | % 14.51/3.91 | Equations (440) can reduce 271 to: % 14.51/3.91 | (228) ~ (e3 = e2) % 14.51/3.91 | % 14.51/3.91 | Equations (440) can reduce 106 to: % 14.51/3.91 | (154) ~ (e3 = e1) % 14.51/3.91 | % 14.51/3.91 | Equations (440) can reduce 17 to: % 14.51/3.91 | (78) ~ (e3 = e0) % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (235), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (457) all_0_43_43 = e1 % 14.51/3.91 | % 14.51/3.91 | Combining equations (434,457) yields a new equation: % 14.51/3.91 | (2608) e3 = e1 % 14.51/3.91 | % 14.51/3.91 | Simplifying 2608 yields: % 14.51/3.91 | (1398) e3 = e1 % 14.51/3.91 | % 14.51/3.91 | Equations (1398) can reduce 154 to: % 14.51/3.91 | (304) $false % 14.51/3.91 | % 14.51/3.91 |-The branch is then unsatisfiable % 14.51/3.91 |-Branch two: % 14.51/3.91 | (425) ~ (all_0_43_43 = e1) % 14.51/3.91 | (1238) all_0_47_47 = e1 | all_0_55_55 = e1 % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (181), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (772) all_0_52_52 = e2 % 14.51/3.91 | % 14.51/3.91 | Equations (772) can reduce 279 to: % 14.51/3.91 | (304) $false % 14.51/3.91 | % 14.51/3.91 |-The branch is then unsatisfiable % 14.51/3.91 |-Branch two: % 14.51/3.91 | (279) ~ (all_0_52_52 = e2) % 14.51/3.91 | (775) all_0_52_52 = e4 | all_0_52_52 = e3 % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (775), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (642) all_0_52_52 = e4 % 14.51/3.91 | % 14.51/3.91 | From (642) and (214) follows: % 14.51/3.91 | (645) op(e3, e4) = all_0_12_12 % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (1238), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (658) all_0_47_47 = e1 % 14.51/3.91 | % 14.51/3.91 | Equations (658) can reduce 191 to: % 14.51/3.91 | (1372) ~ (all_0_49_49 = e1) % 14.51/3.91 | % 14.51/3.91 | Simplifying 1372 yields: % 14.51/3.91 | (713) ~ (all_0_49_49 = e1) % 14.51/3.91 | % 14.51/3.91 | From (658) and (175) follows: % 14.51/3.91 | (663) op(e3, e1) = all_0_10_10 % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (33), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (1375) all_0_49_49 = e2 % 14.51/3.91 | % 14.51/3.91 | Equations (1375) can reduce 267 to: % 14.51/3.91 | (304) $false % 14.51/3.91 | % 14.51/3.91 |-The branch is then unsatisfiable % 14.51/3.91 |-Branch two: % 14.51/3.91 | (267) ~ (all_0_49_49 = e2) % 14.51/3.91 | (1378) all_0_49_49 = e4 | all_0_49_49 = e1 % 14.51/3.91 | % 14.51/3.91 +-Applying beta-rule and splitting (1378), into two cases. % 14.51/3.91 |-Branch one: % 14.51/3.91 | (654) all_0_49_49 = e4 % 14.51/3.91 | % 14.51/3.91 | Instantiating formula (180) with e3, e4, all_0_12_12, all_0_42_42 and discharging atoms op(e3, e4) = all_0_12_12, op(e3, e4) = all_0_42_42, yields: % 14.51/3.91 | (2628) all_0_12_12 = all_0_42_42 % 14.51/3.91 | % 14.51/3.91 | Instantiating formula (180) with e3, e2, all_0_7_7, all_0_44_44 and discharging atoms op(e3, e2) = all_0_7_7, op(e3, e2) = all_0_44_44, yields: % 14.51/3.92 | (2629) all_0_7_7 = all_0_44_44 % 14.51/3.92 | % 14.51/3.92 | Instantiating formula (180) with e3, e1, all_0_10_10, all_0_45_45 and discharging atoms op(e3, e1) = all_0_10_10, op(e3, e1) = all_0_45_45, yields: % 14.51/3.92 | (2630) all_0_10_10 = all_0_45_45 % 14.51/3.92 | % 14.51/3.92 | Instantiating formula (180) with e3, e0, all_0_14_14, all_0_46_46 and discharging atoms op(e3, e0) = all_0_14_14, op(e3, e0) = all_0_46_46, yields: % 14.51/3.92 | (2631) all_0_14_14 = all_0_46_46 % 14.51/3.92 | % 14.51/3.92 | From (2631) and (527) follows: % 14.51/3.92 | (102) op(e3, e0) = all_0_46_46 % 14.51/3.92 | % 14.51/3.92 +-Applying beta-rule and splitting (82), into two cases. % 14.51/3.92 |-Branch one: % 14.51/3.92 | (291) ~ (all_0_38_38 = e0) % 14.51/3.92 | % 14.51/3.92 +-Applying beta-rule and splitting (197), into two cases. % 14.51/3.92 |-Branch one: % 14.51/3.92 | (292) all_0_38_38 = e4 % 14.51/3.92 | % 14.51/3.92 | Equations (292) can reduce 20 to: % 14.51/3.92 | (2033) ~ (all_0_41_41 = e4) % 14.51/3.92 | % 14.51/3.92 | Simplifying 2033 yields: % 14.51/3.92 | (1414) ~ (all_0_41_41 = e4) % 14.51/3.92 | % 14.51/3.92 | Equations (292) can reduce 21 to: % 14.51/3.92 | (39) ~ (e4 = e3) % 14.51/3.92 | % 14.51/3.92 | Equations (292) can reduce 222 to: % 14.51/3.92 | (239) ~ (e4 = e2) % 14.51/3.92 | % 14.51/3.92 | Equations (292) can reduce 291 to: % 14.51/3.92 | (12) ~ (e4 = e0) % 14.51/3.92 | % 14.51/3.92 +-Applying beta-rule and splitting (250), into two cases. % 14.51/3.92 |-Branch one: % 14.51/3.92 | (480) all_0_41_41 = e4 % 14.51/3.92 | % 14.51/3.92 | Equations (480) can reduce 1414 to: % 14.51/3.92 | (304) $false % 14.51/3.92 | % 14.51/3.92 |-The branch is then unsatisfiable % 14.51/3.92 |-Branch two: % 14.51/3.92 | (1414) ~ (all_0_41_41 = e4) % 14.51/3.92 | (1415) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_58_58 = e4 % 14.51/3.92 | % 14.51/3.92 +-Applying beta-rule and splitting (1415), into two cases. % 14.51/3.92 |-Branch one: % 14.51/3.92 | (465) all_0_46_46 = e4 % 14.51/3.92 | % 14.51/3.92 | Combining equations (465,2631) yields a new equation: % 14.51/3.92 | (2645) all_0_14_14 = e4 % 14.51/3.92 | % 14.51/3.92 | Equations (465) can reduce 147 to: % 14.51/3.92 | (296) ~ (all_0_42_42 = e4) % 14.51/3.92 | % 14.51/3.92 | Equations (465) can reduce 121 to: % 14.51/3.92 | (422) ~ (all_0_44_44 = e4) % 14.51/3.92 | % 14.51/3.92 | Equations (465) can reduce 240 to: % 14.51/3.92 | (464) ~ (all_0_45_45 = e4) % 14.51/3.92 | % 14.51/3.92 | Equations (465) can reduce 1205 to: % 14.51/3.92 | (39) ~ (e4 = e3) % 14.51/3.92 | % 14.51/3.92 | Equations (465) can reduce 839 to: % 14.51/3.92 | (239) ~ (e4 = e2) % 14.51/3.92 | % 14.51/3.92 +-Applying beta-rule and splitting (61), into two cases. % 14.51/3.92 |-Branch one: % 14.51/3.92 | (853) all_0_44_44 = e2 % 14.51/3.92 | % 14.51/3.92 | Combining equations (853,2629) yields a new equation: % 14.51/3.92 | (2652) all_0_7_7 = e2 % 14.51/3.92 | % 14.51/3.92 | Equations (853) can reduce 58 to: % 14.51/3.92 | (1619) ~ (all_0_45_45 = e2) % 14.51/3.92 | % 14.51/3.92 | Simplifying 1619 yields: % 14.51/3.92 | (601) ~ (all_0_45_45 = e2) % 14.51/3.92 | % 14.51/3.92 | Equations (853) can reduce 189 to: % 14.51/3.92 | (272) ~ (all_0_56_56 = e2) % 14.51/3.92 | % 14.51/3.92 | Simplifying 272 yields: % 14.51/3.92 | (273) ~ (all_0_56_56 = e2) % 14.51/3.92 | % 14.51/3.92 | Equations (853) can reduce 422 to: % 14.51/3.92 | (274) ~ (e4 = e2) % 14.51/3.92 | % 14.51/3.92 | Simplifying 274 yields: % 14.51/3.92 | (239) ~ (e4 = e2) % 14.51/3.92 | % 14.51/3.92 | Equations (853) can reduce 574 to: % 14.51/3.92 | (284) ~ (e3 = e2) % 14.51/3.92 | % 14.51/3.92 | Simplifying 284 yields: % 14.51/3.92 | (228) ~ (e3 = e2) % 14.51/3.92 | % 14.51/3.92 | Equations (853) can reduce 334 to: % 14.51/3.92 | (63) ~ (e2 = e0) % 14.51/3.92 | % 14.51/3.92 +-Applying beta-rule and splitting (199), into two cases. % 14.51/3.92 |-Branch one: % 14.51/3.92 | (443) all_0_56_56 = e2 % 14.51/3.92 | % 14.51/3.92 | Equations (443) can reduce 273 to: % 14.51/3.92 | (304) $false % 14.51/3.92 | % 14.51/3.92 |-The branch is then unsatisfiable % 14.51/3.92 |-Branch two: % 14.51/3.92 | (273) ~ (all_0_56_56 = e2) % 14.51/3.92 | (446) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0 % 14.51/3.92 | % 14.51/3.92 +-Applying beta-rule and splitting (115), into two cases. % 14.51/3.92 |-Branch one: % 14.51/3.92 | (770) all_0_40_40 = e2 % 14.51/3.92 | % 14.51/3.92 | Combining equations (1113,770) yields a new equation: % 14.51/3.92 | (759) e3 = e2 % 14.51/3.92 | % 14.51/3.92 | Simplifying 759 yields: % 14.51/3.92 | (760) e3 = e2 % 14.51/3.92 | % 14.51/3.92 | Equations (760) can reduce 228 to: % 14.51/3.92 | (304) $false % 14.51/3.92 | % 14.51/3.92 |-The branch is then unsatisfiable % 14.51/3.92 |-Branch two: % 14.51/3.92 | (832) ~ (all_0_40_40 = e2) % 14.51/3.92 | (1494) all_0_45_45 = e2 | all_0_49_49 = e2 | all_0_57_57 = e2 % 14.51/3.92 | % 14.51/3.92 +-Applying beta-rule and splitting (223), into two cases. % 14.51/3.92 |-Branch one: % 14.51/3.92 | (317) all_0_38_38 = e0 % 14.51/3.92 | % 14.51/3.92 | Combining equations (317,292) yields a new equation: % 14.51/3.92 | (319) e4 = e0 % 14.51/3.92 | % 14.51/3.92 | Equations (319) can reduce 12 to: % 14.51/3.92 | (304) $false % 14.51/3.92 | % 14.51/3.92 |-The branch is then unsatisfiable % 14.51/3.92 |-Branch two: % 14.51/3.92 | (291) ~ (all_0_38_38 = e0) % 14.51/3.92 | (331) all_0_42_42 = e0 | all_0_54_54 = e0 % 14.51/3.92 | % 14.51/3.92 +-Applying beta-rule and splitting (155), into two cases. % 14.51/3.92 |-Branch one: % 14.51/3.92 | (419) all_0_44_44 = e4 % 14.51/3.92 | % 14.51/3.92 | Combining equations (419,853) yields a new equation: % 14.51/3.92 | (724) e4 = e2 % 14.51/3.92 | % 14.51/3.92 | Simplifying 724 yields: % 14.51/3.92 | (540) e4 = e2 % 14.51/3.92 | % 14.51/3.92 | Equations (540) can reduce 239 to: % 14.51/3.92 | (304) $false % 14.51/3.92 | % 14.51/3.92 |-The branch is then unsatisfiable % 14.51/3.92 |-Branch two: % 14.51/3.92 | (422) ~ (all_0_44_44 = e4) % 14.51/3.92 | (1904) all_0_53_53 = e4 | all_0_56_56 = e4 % 14.51/3.92 | % 14.51/3.92 +-Applying beta-rule and splitting (1904), into two cases. % 14.51/3.92 |-Branch one: % 14.51/3.92 | (623) all_0_53_53 = e4 % 14.51/3.92 | % 14.51/3.92 | Combining equations (623,440) yields a new equation: % 14.51/3.92 | (461) e4 = e3 % 14.51/3.92 | % 14.51/3.92 | Simplifying 461 yields: % 14.51/3.92 | (462) e4 = e3 % 14.51/3.92 | % 14.51/3.92 | Equations (462) can reduce 39 to: % 14.51/3.92 | (304) $false % 14.51/3.92 | % 14.51/3.92 |-The branch is then unsatisfiable % 14.51/3.92 |-Branch two: % 14.51/3.92 | (617) ~ (all_0_53_53 = e4) % 14.51/3.92 | (447) all_0_56_56 = e4 % 14.51/3.92 | % 14.51/3.92 | Equations (447) can reduce 221 to: % 14.51/3.92 | (1075) ~ (all_0_57_57 = e4) % 14.51/3.92 | % 14.51/3.92 | Simplifying 1075 yields: % 14.51/3.92 | (743) ~ (all_0_57_57 = e4) % 14.51/3.92 | % 14.51/3.92 | Equations (447) can reduce 273 to: % 14.51/3.92 | (239) ~ (e4 = e2) % 14.51/3.92 | % 14.51/3.92 | Equations (447) can reduce 314 to: % 14.51/3.92 | (12) ~ (e4 = e0) % 14.51/3.92 | % 14.51/3.92 +-Applying beta-rule and splitting (65), into two cases. % 14.51/3.92 |-Branch one: % 14.51/3.92 | (356) all_0_41_41 = e0 % 14.51/3.92 | % 14.51/3.92 | Equations (356) can reduce 224 to: % 14.51/3.92 | (535) ~ (e1 = e0) % 14.51/3.92 | % 14.51/3.92 | Simplifying 535 yields: % 14.51/3.92 | (150) ~ (e1 = e0) % 14.51/3.92 | % 14.51/3.92 +-Applying beta-rule and splitting (1494), into two cases. % 14.51/3.92 |-Branch one: % 14.51/3.92 | (858) all_0_45_45 = e2 % 14.51/3.92 | % 14.51/3.92 | Equations (858) can reduce 601 to: % 14.51/3.92 | (304) $false % 14.51/3.92 | % 14.51/3.92 |-The branch is then unsatisfiable % 14.51/3.92 |-Branch two: % 14.51/3.92 | (601) ~ (all_0_45_45 = e2) % 14.51/3.92 | (2699) all_0_49_49 = e2 | all_0_57_57 = e2 % 14.51/3.92 | % 14.51/3.92 +-Applying beta-rule and splitting (2699), into two cases. % 14.51/3.92 |-Branch one: % 14.51/3.92 | (1375) all_0_49_49 = e2 % 14.51/3.92 | % 14.51/3.92 | Combining equations (654,1375) yields a new equation: % 14.51/3.92 | (724) e4 = e2 % 14.51/3.92 | % 14.51/3.92 | Simplifying 724 yields: % 14.51/3.92 | (540) e4 = e2 % 14.51/3.92 | % 14.51/3.92 | Equations (540) can reduce 239 to: % 14.51/3.92 | (304) $false % 14.51/3.92 | % 14.51/3.92 |-The branch is then unsatisfiable % 14.51/3.92 |-Branch two: % 14.51/3.92 | (267) ~ (all_0_49_49 = e2) % 14.51/3.92 | (600) all_0_57_57 = e2 % 14.51/3.92 | % 14.51/3.92 | Equations (600) can reduce 220 to: % 14.51/3.92 | (601) ~ (all_0_45_45 = e2) % 14.51/3.92 | % 14.51/3.92 | Equations (600) can reduce 743 to: % 14.51/3.92 | (274) ~ (e4 = e2) % 14.51/3.92 | % 14.51/3.92 | Simplifying 274 yields: % 14.51/3.92 | (239) ~ (e4 = e2) % 14.51/3.92 | % 14.51/3.92 +-Applying beta-rule and splitting (331), into two cases. % 14.51/3.92 |-Branch one: % 14.51/3.92 | (332) all_0_42_42 = e0 % 14.51/3.92 | % 14.51/3.92 | Combining equations (332,2628) yields a new equation: % 14.51/3.92 | (2710) all_0_12_12 = e0 % 14.51/3.92 | % 14.51/3.92 | Equations (332) can reduce 137 to: % 14.51/3.92 | (1358) ~ (all_0_54_54 = e0) % 14.51/3.92 | % 14.51/3.92 | Simplifying 1358 yields: % 14.51/3.92 | (313) ~ (all_0_54_54 = e0) % 14.51/3.92 | % 14.51/3.92 | Equations (332) can reduce 296 to: % 14.51/3.92 | (315) ~ (e4 = e0) % 14.51/3.92 | % 14.51/3.92 | Simplifying 315 yields: % 14.51/3.92 | (12) ~ (e4 = e0) % 14.51/3.92 | % 14.51/3.92 +-Applying beta-rule and splitting (205), into two cases. % 14.51/3.92 |-Branch one: % 14.51/3.92 | (736) all_0_42_42 = e1 % 14.51/3.92 | % 14.51/3.92 | Combining equations (332,736) yields a new equation: % 14.51/3.92 | (750) e1 = e0 % 14.51/3.92 | % 14.51/3.92 | Equations (750) can reduce 150 to: % 14.51/3.92 | (304) $false % 14.51/3.92 | % 14.51/3.92 |-The branch is then unsatisfiable % 14.51/3.92 |-Branch two: % 14.51/3.92 | (605) ~ (all_0_42_42 = e1) % 14.51/3.92 | (604) all_0_54_54 = e1 % 14.51/3.92 | % 14.51/3.92 | Equations (604) can reduce 313 to: % 14.51/3.92 | (150) ~ (e1 = e0) % 14.51/3.92 | % 14.51/3.92 +-Applying beta-rule and splitting (56), into two cases. % 14.51/3.92 |-Branch one: % 14.51/3.92 | (683) (all_0_7_7 = e4 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e2 & ~ (all_0_11_11 = e3)) | (all_0_12_12 = e1 & ~ (all_0_13_13 = e3)) % 14.51/3.92 | % 14.51/3.92 +-Applying beta-rule and splitting (683), into two cases. % 14.51/3.92 |-Branch one: % 14.51/3.92 | (684) (all_0_7_7 = e4 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e2 & ~ (all_0_11_11 = e3)) % 14.51/3.92 | % 14.51/3.92 +-Applying beta-rule and splitting (684), into two cases. % 14.51/3.92 |-Branch one: % 14.51/3.92 | (685) all_0_7_7 = e4 & ~ (all_0_8_8 = e3) % 14.51/3.92 | % 14.51/3.92 | Applying alpha-rule on (685) yields: % 14.51/3.92 | (686) all_0_7_7 = e4 % 14.51/3.92 | (687) ~ (all_0_8_8 = e3) % 14.51/3.92 | % 14.51/3.92 | Combining equations (686,2652) yields a new equation: % 14.51/3.92 | (724) e4 = e2 % 14.51/3.92 | % 14.51/3.92 | Simplifying 724 yields: % 14.51/3.92 | (540) e4 = e2 % 14.51/3.92 | % 14.51/3.92 | Equations (540) can reduce 239 to: % 14.51/3.92 | (304) $false % 14.51/3.92 | % 14.51/3.92 |-The branch is then unsatisfiable % 14.51/3.92 |-Branch two: % 14.51/3.92 | (691) all_0_10_10 = e2 & ~ (all_0_11_11 = e3) % 14.51/3.92 | % 14.51/3.92 | Applying alpha-rule on (691) yields: % 14.51/3.92 | (692) all_0_10_10 = e2 % 14.51/3.92 | (693) ~ (all_0_11_11 = e3) % 14.51/3.92 | % 14.51/3.92 | Combining equations (692,2630) yields a new equation: % 14.51/3.92 | (858) all_0_45_45 = e2 % 14.51/3.92 | % 14.51/3.92 | Equations (858) can reduce 601 to: % 14.51/3.92 | (304) $false % 14.51/3.92 | % 14.51/3.92 |-The branch is then unsatisfiable % 14.51/3.92 |-Branch two: % 14.51/3.92 | (697) all_0_12_12 = e1 & ~ (all_0_13_13 = e3) % 14.51/3.92 | % 14.51/3.92 | Applying alpha-rule on (697) yields: % 14.51/3.92 | (698) all_0_12_12 = e1 % 14.51/3.92 | (699) ~ (all_0_13_13 = e3) % 14.51/3.92 | % 14.51/3.92 | Combining equations (698,2710) yields a new equation: % 14.51/3.92 | (1135) e1 = e0 % 14.51/3.92 | % 14.51/3.92 | Simplifying 1135 yields: % 14.51/3.92 | (750) e1 = e0 % 14.51/3.92 | % 14.51/3.92 | Equations (750) can reduce 150 to: % 14.51/3.92 | (304) $false % 14.51/3.92 | % 14.51/3.92 |-The branch is then unsatisfiable % 14.51/3.92 |-Branch two: % 14.51/3.92 | (702) all_0_14_14 = e0 & ~ (all_0_15_15 = e3) % 14.51/3.92 | % 14.51/3.92 | Applying alpha-rule on (702) yields: % 14.51/3.92 | (703) all_0_14_14 = e0 % 14.51/3.92 | (704) ~ (all_0_15_15 = e3) % 14.51/3.92 | % 14.51/3.92 | Combining equations (703,2645) yields a new equation: % 14.51/3.92 | (319) e4 = e0 % 14.51/3.92 | % 14.51/3.92 | Equations (319) can reduce 12 to: % 14.51/3.92 | (304) $false % 14.51/3.92 | % 14.51/3.92 |-The branch is then unsatisfiable % 14.51/3.92 |-Branch two: % 14.51/3.92 | (348) ~ (all_0_42_42 = e0) % 14.51/3.92 | (349) all_0_54_54 = e0 % 14.51/3.92 | % 14.51/3.92 | Equations (349) can reduce 313 to: % 14.51/3.92 | (304) $false % 14.51/3.92 | % 14.51/3.92 |-The branch is then unsatisfiable % 14.51/3.92 |-Branch two: % 14.51/3.92 | (312) ~ (all_0_41_41 = e0) % 14.51/3.92 | (2217) all_0_46_46 = e0 | all_0_50_50 = e0 | all_0_58_58 = e0 % 14.51/3.92 | % 14.51/3.92 +-Applying beta-rule and splitting (2217), into two cases. % 14.51/3.92 |-Branch one: % 14.51/3.92 | (1728) all_0_46_46 = e0 % 14.51/3.92 | % 14.51/3.92 | Combining equations (465,1728) yields a new equation: % 14.51/3.92 | (318) e4 = e0 % 14.51/3.92 | % 14.51/3.92 | Simplifying 318 yields: % 14.51/3.92 | (319) e4 = e0 % 14.51/3.92 | % 14.51/3.92 | Equations (319) can reduce 12 to: % 14.51/3.92 | (304) $false % 14.51/3.92 | % 14.51/3.92 |-The branch is then unsatisfiable % 14.51/3.92 |-Branch two: % 14.51/3.92 | (1634) ~ (all_0_46_46 = e0) % 14.51/3.92 | (2223) all_0_50_50 = e0 | all_0_58_58 = e0 % 14.51/3.92 | % 14.51/3.92 +-Applying beta-rule and splitting (2223), into two cases. % 14.51/3.92 |-Branch one: % 14.51/3.92 | (379) all_0_50_50 = e0 % 14.51/3.92 | % 14.51/3.92 | Combining equations (492,379) yields a new equation: % 14.51/3.92 | (342) e2 = e0 % 14.51/3.92 | % 14.51/3.92 | Simplifying 342 yields: % 14.51/3.92 | (343) e2 = e0 % 14.51/3.92 | % 14.51/3.92 | Equations (343) can reduce 63 to: % 14.51/3.92 | (304) $false % 14.51/3.92 | % 14.51/3.92 |-The branch is then unsatisfiable % 14.51/3.92 |-Branch two: % 14.51/3.92 | (2227) ~ (all_0_50_50 = e0) % 14.51/3.92 | (311) all_0_58_58 = e0 % 14.51/3.92 | % 14.51/3.92 | Combining equations (311,359) yields a new equation: % 14.51/3.93 | (572) e3 = e0 % 14.51/3.93 | % 14.51/3.93 | Equations (572) can reduce 78 to: % 14.51/3.93 | (304) $false % 14.51/3.93 | % 14.51/3.93 |-The branch is then unsatisfiable % 14.51/3.93 |-Branch two: % 14.51/3.93 | (265) ~ (all_0_44_44 = e2) % 14.51/3.93 | (2311) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e0 % 14.51/3.93 | % 14.51/3.93 +-Applying beta-rule and splitting (178), into two cases. % 14.51/3.93 |-Branch one: % 14.51/3.93 | (317) all_0_38_38 = e0 % 14.51/3.93 | % 14.51/3.93 | Combining equations (292,317) yields a new equation: % 14.51/3.93 | (318) e4 = e0 % 14.51/3.93 | % 14.51/3.93 | Simplifying 318 yields: % 14.51/3.93 | (319) e4 = e0 % 14.51/3.93 | % 14.51/3.93 | Equations (319) can reduce 12 to: % 14.51/3.93 | (304) $false % 14.51/3.93 | % 14.51/3.93 |-The branch is then unsatisfiable % 14.51/3.93 |-Branch two: % 14.51/3.93 | (291) ~ (all_0_38_38 = e0) % 14.51/3.93 | (322) all_0_39_39 = e0 | all_0_41_41 = e0 % 14.51/3.93 | % 14.51/3.93 +-Applying beta-rule and splitting (322), into two cases. % 14.51/3.93 |-Branch one: % 14.51/3.93 | (323) all_0_39_39 = e0 % 14.51/3.93 | % 14.51/3.93 | Combining equations (576,323) yields a new equation: % 14.51/3.93 | (342) e2 = e0 % 14.51/3.93 | % 14.51/3.93 | Simplifying 342 yields: % 14.51/3.93 | (343) e2 = e0 % 14.51/3.93 | % 14.51/3.93 | Equations (343) can reduce 63 to: % 14.51/3.93 | (304) $false % 14.51/3.93 | % 14.51/3.93 |-The branch is then unsatisfiable % 14.51/3.93 |-Branch two: % 14.51/3.93 | (351) ~ (all_0_39_39 = e0) % 14.51/3.93 | (356) all_0_41_41 = e0 % 14.51/3.93 | % 14.51/3.93 | Equations (356) can reduce 542 to: % 14.51/3.93 | (335) ~ (e2 = e0) % 14.51/3.93 | % 14.51/3.93 | Simplifying 335 yields: % 14.51/3.93 | (63) ~ (e2 = e0) % 14.51/3.93 | % 14.51/3.93 +-Applying beta-rule and splitting (47), into two cases. % 14.51/3.93 |-Branch one: % 14.51/3.93 | (853) all_0_44_44 = e2 % 14.51/3.93 | % 14.51/3.93 | Equations (853) can reduce 265 to: % 14.51/3.93 | (304) $false % 14.51/3.93 | % 14.51/3.93 |-The branch is then unsatisfiable % 14.51/3.93 |-Branch two: % 14.51/3.93 | (265) ~ (all_0_44_44 = e2) % 14.51/3.93 | (2145) all_0_48_48 = e2 | all_0_53_53 = e2 | all_0_56_56 = e2 % 14.51/3.93 | % 14.51/3.93 +-Applying beta-rule and splitting (2311), into two cases. % 14.51/3.93 |-Branch one: % 14.51/3.93 | (419) all_0_44_44 = e4 % 14.51/3.93 | % 14.51/3.93 | Equations (419) can reduce 422 to: % 14.51/3.93 | (304) $false % 14.51/3.93 | % 14.51/3.93 |-The branch is then unsatisfiable % 14.51/3.93 |-Branch two: % 14.51/3.93 | (422) ~ (all_0_44_44 = e4) % 14.51/3.93 | (2383) all_0_44_44 = e3 | all_0_44_44 = e0 % 14.51/3.93 | % 14.51/3.93 +-Applying beta-rule and splitting (2145), into two cases. % 14.51/3.93 |-Branch one: % 14.51/3.93 | (264) all_0_48_48 = e2 % 14.51/3.93 | % 14.51/3.93 | Combining equations (341,264) yields a new equation: % 14.51/3.93 | (343) e2 = e0 % 14.51/3.93 | % 14.51/3.93 | Equations (343) can reduce 63 to: % 14.51/3.93 | (304) $false % 14.51/3.93 | % 14.51/3.93 |-The branch is then unsatisfiable % 14.51/3.93 |-Branch two: % 14.51/3.93 | (1994) ~ (all_0_48_48 = e2) % 14.51/3.93 | (2151) all_0_53_53 = e2 | all_0_56_56 = e2 % 14.51/3.93 | % 14.51/3.93 +-Applying beta-rule and splitting (2151), into two cases. % 14.51/3.93 |-Branch one: % 14.51/3.93 | (619) all_0_53_53 = e2 % 14.51/3.93 | % 14.51/3.93 | Combining equations (619,440) yields a new equation: % 14.51/3.93 | (760) e3 = e2 % 14.51/3.93 | % 14.51/3.93 | Equations (760) can reduce 228 to: % 14.51/3.93 | (304) $false % 14.51/3.93 | % 14.51/3.93 |-The branch is then unsatisfiable % 14.51/3.93 |-Branch two: % 14.51/3.93 | (271) ~ (all_0_53_53 = e2) % 14.51/3.93 | (443) all_0_56_56 = e2 % 14.51/3.93 | % 14.51/3.93 | Equations (443) can reduce 221 to: % 14.51/3.93 | (958) ~ (all_0_57_57 = e2) % 14.51/3.93 | % 14.51/3.93 | Simplifying 958 yields: % 14.51/3.93 | (757) ~ (all_0_57_57 = e2) % 14.51/3.93 | % 14.51/3.93 | Equations (443) can reduce 442 to: % 14.51/3.93 | (284) ~ (e3 = e2) % 14.51/3.93 | % 14.51/3.93 | Simplifying 284 yields: % 14.51/3.93 | (228) ~ (e3 = e2) % 14.51/3.93 | % 14.51/3.93 +-Applying beta-rule and splitting (155), into two cases. % 14.51/3.93 |-Branch one: % 14.51/3.93 | (419) all_0_44_44 = e4 % 14.51/3.93 | % 14.51/3.93 | Equations (419) can reduce 422 to: % 14.51/3.93 | (304) $false % 14.51/3.93 | % 14.51/3.93 |-The branch is then unsatisfiable % 14.51/3.93 |-Branch two: % 14.51/3.93 | (422) ~ (all_0_44_44 = e4) % 14.51/3.93 | (1904) all_0_53_53 = e4 | all_0_56_56 = e4 % 14.51/3.93 | % 14.51/3.93 +-Applying beta-rule and splitting (166), into two cases. % 14.51/3.93 |-Branch one: % 14.51/3.93 | (600) all_0_57_57 = e2 % 14.51/3.93 | % 14.51/3.93 | Equations (600) can reduce 757 to: % 14.51/3.93 | (304) $false % 14.51/3.93 | % 14.51/3.93 |-The branch is then unsatisfiable % 14.51/3.93 |-Branch two: % 14.51/3.93 | (757) ~ (all_0_57_57 = e2) % 14.51/3.93 | (2809) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e1 % 14.51/3.93 | % 14.51/3.93 +-Applying beta-rule and splitting (115), into two cases. % 14.51/3.93 |-Branch one: % 14.51/3.93 | (770) all_0_40_40 = e2 % 14.51/3.93 | % 14.51/3.93 | Combining equations (1113,770) yields a new equation: % 14.51/3.93 | (759) e3 = e2 % 14.51/3.93 | % 14.51/3.93 | Simplifying 759 yields: % 14.51/3.93 | (760) e3 = e2 % 14.51/3.93 | % 14.51/3.93 | Equations (760) can reduce 228 to: % 14.51/3.93 | (304) $false % 14.51/3.93 | % 14.51/3.93 |-The branch is then unsatisfiable % 14.51/3.93 |-Branch two: % 14.51/3.93 | (832) ~ (all_0_40_40 = e2) % 14.51/3.93 | (1494) all_0_45_45 = e2 | all_0_49_49 = e2 | all_0_57_57 = e2 % 14.51/3.93 | % 14.51/3.93 +-Applying beta-rule and splitting (1494), into two cases. % 14.51/3.93 |-Branch one: % 14.51/3.93 | (858) all_0_45_45 = e2 % 14.51/3.93 | % 14.51/3.93 | Equations (858) can reduce 464 to: % 14.51/3.93 | (274) ~ (e4 = e2) % 14.51/3.93 | % 14.51/3.93 | Simplifying 274 yields: % 14.51/3.93 | (239) ~ (e4 = e2) % 14.51/3.93 | % 14.51/3.93 +-Applying beta-rule and splitting (1904), into two cases. % 14.51/3.93 |-Branch one: % 14.51/3.93 | (623) all_0_53_53 = e4 % 14.51/3.93 | % 14.51/3.93 | Combining equations (440,623) yields a new equation: % 14.51/3.93 | (462) e4 = e3 % 14.51/3.93 | % 14.51/3.93 | Equations (462) can reduce 39 to: % 14.51/3.93 | (304) $false % 14.51/3.93 | % 14.51/3.93 |-The branch is then unsatisfiable % 14.51/3.93 |-Branch two: % 14.51/3.93 | (617) ~ (all_0_53_53 = e4) % 14.51/3.93 | (447) all_0_56_56 = e4 % 14.51/3.93 | % 14.51/3.93 | Combining equations (443,447) yields a new equation: % 14.51/3.93 | (540) e4 = e2 % 14.51/3.93 | % 14.51/3.93 | Equations (540) can reduce 239 to: % 14.51/3.93 | (304) $false % 14.51/3.93 | % 14.51/3.93 |-The branch is then unsatisfiable % 14.51/3.93 |-Branch two: % 14.51/3.93 | (601) ~ (all_0_45_45 = e2) % 14.51/3.93 | (2699) all_0_49_49 = e2 | all_0_57_57 = e2 % 14.51/3.93 | % 14.51/3.93 +-Applying beta-rule and splitting (2699), into two cases. % 14.51/3.93 |-Branch one: % 14.51/3.93 | (1375) all_0_49_49 = e2 % 14.51/3.93 | % 14.51/3.93 | Combining equations (654,1375) yields a new equation: % 14.51/3.93 | (724) e4 = e2 % 14.51/3.93 | % 14.51/3.93 | Simplifying 724 yields: % 14.51/3.93 | (540) e4 = e2 % 14.51/3.93 | % 14.51/3.93 | Equations (540) can reduce 239 to: % 14.51/3.93 | (304) $false % 14.51/3.93 | % 14.51/3.93 |-The branch is then unsatisfiable % 14.51/3.93 |-Branch two: % 14.51/3.93 | (267) ~ (all_0_49_49 = e2) % 14.51/3.93 | (600) all_0_57_57 = e2 % 14.51/3.93 | % 14.51/3.93 | Equations (600) can reduce 757 to: % 14.51/3.93 | (304) $false % 14.51/3.93 | % 14.51/3.93 |-The branch is then unsatisfiable % 14.51/3.93 |-Branch two: % 14.51/3.93 | (403) ~ (all_0_46_46 = e4) % 14.51/3.93 | (1511) all_0_50_50 = e4 | all_0_58_58 = e4 % 14.51/3.93 | % 14.51/3.93 +-Applying beta-rule and splitting (1511), into two cases. % 14.51/3.93 |-Branch one: % 14.51/3.93 | (496) all_0_50_50 = e4 % 14.51/3.93 | % 14.51/3.93 | Combining equations (492,496) yields a new equation: % 14.51/3.93 | (540) e4 = e2 % 14.51/3.93 | % 14.51/3.93 | Equations (540) can reduce 239 to: % 14.51/3.93 | (304) $false % 14.51/3.93 | % 14.51/3.93 |-The branch is then unsatisfiable % 14.51/3.93 |-Branch two: % 14.51/3.93 | (488) ~ (all_0_50_50 = e4) % 14.51/3.93 | (307) all_0_58_58 = e4 % 14.51/3.93 | % 14.51/3.93 | Combining equations (359,307) yields a new equation: % 14.51/3.93 | (462) e4 = e3 % 14.51/3.93 | % 14.51/3.93 | Equations (462) can reduce 39 to: % 14.51/3.93 | (304) $false % 14.51/3.93 | % 14.51/3.93 |-The branch is then unsatisfiable % 14.51/3.93 |-Branch two: % 14.51/3.93 | (476) ~ (all_0_38_38 = e4) % 14.51/3.93 | (317) all_0_38_38 = e0 % 14.51/3.93 | % 14.51/3.93 | Equations (317) can reduce 291 to: % 14.51/3.93 | (304) $false % 14.51/3.93 | % 14.51/3.93 |-The branch is then unsatisfiable % 14.51/3.93 |-Branch two: % 14.51/3.93 | (317) all_0_38_38 = e0 % 14.51/3.93 | (480) all_0_41_41 = e4 % 14.51/3.93 | % 14.51/3.93 | Equations (480) can reduce 55 to: % 14.51/3.93 | (485) ~ (all_0_46_46 = e4) % 14.51/3.93 | % 14.51/3.93 | Simplifying 485 yields: % 14.51/3.93 | (403) ~ (all_0_46_46 = e4) % 14.51/3.93 | % 14.51/3.93 | From (480) and (238) follows: % 14.51/3.93 | (1096) op(e4, e4) = all_0_32_32 % 14.51/3.93 | % 14.51/3.93 | From (317) and (226) follows: % 14.51/3.93 | (1088) op(e4, e4) = e0 % 14.51/3.93 | % 14.51/3.93 +-Applying beta-rule and splitting (6), into two cases. % 14.51/3.93 |-Branch one: % 14.51/3.93 | (544) all_0_46_46 = e2 % 14.51/3.93 | % 14.51/3.93 | Equations (544) can reduce 839 to: % 14.51/3.93 | (304) $false % 14.51/3.93 | % 14.51/3.93 |-The branch is then unsatisfiable % 14.51/3.93 |-Branch two: % 14.51/3.93 | (839) ~ (all_0_46_46 = e2) % 14.51/3.93 | (1742) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e0 % 14.51/3.93 | % 14.51/3.93 +-Applying beta-rule and splitting (1742), into two cases. % 14.51/3.93 |-Branch one: % 14.51/3.93 | (465) all_0_46_46 = e4 % 14.51/3.93 | % 14.51/3.93 | Equations (465) can reduce 403 to: % 14.51/3.93 | (304) $false % 14.51/3.93 | % 14.51/3.93 |-The branch is then unsatisfiable % 14.51/3.93 |-Branch two: % 14.51/3.93 | (403) ~ (all_0_46_46 = e4) % 14.51/3.93 | (1746) all_0_46_46 = e3 | all_0_46_46 = e0 % 14.51/3.93 | % 14.51/3.93 +-Applying beta-rule and splitting (1746), into two cases. % 14.51/3.93 |-Branch one: % 14.51/3.93 | (1728) all_0_46_46 = e0 % 14.51/3.93 | % 14.51/3.93 | From (1728) and (148) follows: % 14.51/3.93 | (2862) op(e3, e0) = all_0_34_34 % 14.51/3.93 | % 14.51/3.93 | From (1728) and (102) follows: % 14.51/3.93 | (2863) op(e3, e0) = e0 % 14.51/3.93 | % 14.51/3.93 | Instantiating formula (180) with e4, e4, e0, all_0_32_32 and discharging atoms op(e4, e4) = all_0_32_32, op(e4, e4) = e0, yields: % 14.51/3.93 | (1160) all_0_32_32 = e0 % 14.51/3.93 | % 14.51/3.93 | Instantiating formula (180) with e3, e0, e0, all_0_34_34 and discharging atoms op(e3, e0) = all_0_34_34, op(e3, e0) = e0, yields: % 14.51/3.93 | (679) all_0_34_34 = e0 % 14.51/3.93 | % 14.51/3.93 +-Applying beta-rule and splitting (172), into two cases. % 14.51/3.93 |-Branch one: % 14.51/3.93 | (1163) (all_0_31_31 = e4 & ~ (all_0_32_32 = e0)) | (all_0_33_33 = e3 & ~ (all_0_34_34 = e0)) % 14.69/3.93 | % 14.69/3.93 +-Applying beta-rule and splitting (1163), into two cases. % 14.69/3.93 |-Branch one: % 14.69/3.93 | (1164) all_0_31_31 = e4 & ~ (all_0_32_32 = e0) % 14.69/3.93 | % 14.69/3.93 | Applying alpha-rule on (1164) yields: % 14.69/3.93 | (1165) all_0_31_31 = e4 % 14.69/3.93 | (1166) ~ (all_0_32_32 = e0) % 14.69/3.93 | % 14.69/3.93 | Equations (1160) can reduce 1166 to: % 14.69/3.93 | (304) $false % 14.69/3.93 | % 14.69/3.93 |-The branch is then unsatisfiable % 14.69/3.93 |-Branch two: % 14.69/3.93 | (1168) all_0_33_33 = e3 & ~ (all_0_34_34 = e0) % 14.69/3.93 | % 14.69/3.93 | Applying alpha-rule on (1168) yields: % 14.69/3.93 | (1169) all_0_33_33 = e3 % 14.69/3.93 | (1170) ~ (all_0_34_34 = e0) % 14.69/3.93 | % 14.69/3.93 | Equations (679) can reduce 1170 to: % 14.69/3.93 | (304) $false % 14.69/3.93 | % 14.69/3.93 |-The branch is then unsatisfiable % 14.69/3.93 |-Branch two: % 14.69/3.93 | (1172) all_0_35_35 = e2 & ~ (all_0_36_36 = e0) % 14.69/3.93 | % 14.69/3.93 | Applying alpha-rule on (1172) yields: % 14.69/3.93 | (1173) all_0_35_35 = e2 % 14.69/3.93 | (1174) ~ (all_0_36_36 = e0) % 14.69/3.93 | % 14.69/3.93 | Equations (1162) can reduce 1174 to: % 14.69/3.93 | (304) $false % 14.69/3.93 | % 14.69/3.93 |-The branch is then unsatisfiable % 14.69/3.93 |-Branch two: % 14.69/3.93 | (1634) ~ (all_0_46_46 = e0) % 14.69/3.93 | (924) all_0_46_46 = e3 % 14.69/3.93 | % 14.69/3.93 | Equations (924) can reduce 1205 to: % 14.69/3.93 | (304) $false % 14.69/3.93 | % 14.69/3.93 |-The branch is then unsatisfiable % 14.69/3.93 |-Branch two: % 14.69/3.93 | (722) ~ (all_0_49_49 = e4) % 14.69/3.93 | (709) all_0_49_49 = e1 % 14.69/3.93 | % 14.69/3.93 | Equations (709) can reduce 713 to: % 14.69/3.93 | (304) $false % 14.69/3.93 | % 14.69/3.93 |-The branch is then unsatisfiable % 14.69/3.93 |-Branch two: % 14.69/3.93 | (717) ~ (all_0_47_47 = e1) % 14.69/3.93 | (749) all_0_55_55 = e1 % 14.69/3.93 | % 14.69/3.93 | Combining equations (362,749) yields a new equation: % 14.69/3.93 | (750) e1 = e0 % 14.69/3.93 | % 14.69/3.93 | Equations (750) can reduce 150 to: % 14.69/3.93 | (304) $false % 14.69/3.93 | % 14.69/3.93 |-The branch is then unsatisfiable % 14.69/3.93 |-Branch two: % 14.69/3.93 | (727) ~ (all_0_52_52 = e4) % 14.69/3.93 | (437) all_0_52_52 = e3 % 14.69/3.94 | % 14.69/3.94 | Equations (437) can reduce 436 to: % 14.69/3.94 | (304) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (456) ~ (all_0_43_43 = e3) % 14.69/3.94 | (457) all_0_43_43 = e1 % 14.69/3.94 | % 14.69/3.94 | Equations (457) can reduce 425 to: % 14.69/3.94 | (304) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (457) all_0_43_43 = e1 % 14.69/3.94 | (460) all_0_45_45 = e3 % 14.69/3.94 | % 14.69/3.94 | Equations (460) can reduce 1400 to: % 14.69/3.94 | (304) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (1337) ~ (all_0_40_40 = e3) % 14.69/3.94 | (1120) all_0_41_41 = e3 % 14.69/3.94 | % 14.69/3.94 | Equations (1120) can reduce 1123 to: % 14.69/3.94 | (304) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (762) ~ (all_0_39_39 = e2) % 14.69/3.94 | (763) all_0_43_43 = e2 | all_0_47_47 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2 % 14.69/3.94 | % 14.69/3.94 +-Applying beta-rule and splitting (763), into two cases. % 14.69/3.94 |-Branch one: % 14.69/3.94 | (426) all_0_43_43 = e2 % 14.69/3.94 | % 14.69/3.94 | Equations (426) can reduce 288 to: % 14.69/3.94 | (304) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (288) ~ (all_0_43_43 = e2) % 14.69/3.94 | (1261) all_0_47_47 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2 % 14.69/3.94 | % 14.69/3.94 +-Applying beta-rule and splitting (1261), into two cases. % 14.69/3.94 |-Branch one: % 14.69/3.94 | (2104) all_0_47_47 = e2 % 14.69/3.94 | % 14.69/3.94 | Equations (2104) can reduce 578 to: % 14.69/3.94 | (304) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (578) ~ (all_0_47_47 = e2) % 14.69/3.94 | (2107) all_0_52_52 = e2 | all_0_55_55 = e2 % 14.69/3.94 | % 14.69/3.94 +-Applying beta-rule and splitting (2107), into two cases. % 14.69/3.94 |-Branch one: % 14.69/3.94 | (772) all_0_52_52 = e2 % 14.69/3.94 | % 14.69/3.94 | Equations (772) can reduce 279 to: % 14.69/3.94 | (304) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (279) ~ (all_0_52_52 = e2) % 14.69/3.94 | (590) all_0_55_55 = e2 % 14.69/3.94 | % 14.69/3.94 | Combining equations (362,590) yields a new equation: % 14.69/3.94 | (343) e2 = e0 % 14.69/3.94 | % 14.69/3.94 | Equations (343) can reduce 63 to: % 14.69/3.94 | (304) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (1565) ~ (all_0_51_51 = e2) % 14.69/3.94 | (627) all_0_51_51 = e4 % 14.69/3.94 | % 14.69/3.94 | Equations (627) can reduce 152 to: % 14.69/3.94 | (476) ~ (all_0_38_38 = e4) % 14.69/3.94 | % 14.69/3.94 | Equations (627) can reduce 211 to: % 14.69/3.94 | (297) ~ (all_0_54_54 = e4) % 14.69/3.94 | % 14.69/3.94 | Simplifying 297 yields: % 14.69/3.94 | (298) ~ (all_0_54_54 = e4) % 14.69/3.94 | % 14.69/3.94 +-Applying beta-rule and splitting (197), into two cases. % 14.69/3.94 |-Branch one: % 14.69/3.94 | (292) all_0_38_38 = e4 % 14.69/3.94 | % 14.69/3.94 | Equations (292) can reduce 476 to: % 14.69/3.94 | (304) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (476) ~ (all_0_38_38 = e4) % 14.69/3.94 | (317) all_0_38_38 = e0 % 14.69/3.94 | % 14.69/3.94 | Equations (317) can reduce 202 to: % 14.69/3.94 | (481) ~ (all_0_39_39 = e0) % 14.69/3.94 | % 14.69/3.94 | Simplifying 481 yields: % 14.69/3.94 | (351) ~ (all_0_39_39 = e0) % 14.69/3.94 | % 14.69/3.94 | Equations (317) can reduce 27 to: % 14.69/3.94 | (1580) ~ (all_0_42_42 = e0) % 14.69/3.94 | % 14.69/3.94 | Simplifying 1580 yields: % 14.69/3.94 | (348) ~ (all_0_42_42 = e0) % 14.69/3.94 | % 14.69/3.94 +-Applying beta-rule and splitting (82), into two cases. % 14.69/3.94 |-Branch one: % 14.69/3.94 | (291) ~ (all_0_38_38 = e0) % 14.69/3.94 | % 14.69/3.94 | Equations (317) can reduce 291 to: % 14.69/3.94 | (304) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (317) all_0_38_38 = e0 % 14.69/3.94 | (480) all_0_41_41 = e4 % 14.69/3.94 | % 14.69/3.94 | From (480) and (73) follows: % 14.69/3.94 | (1594) op(e0, e4) = all_0_31_31 % 14.69/3.94 | % 14.69/3.94 | Instantiating formula (180) with e0, e4, all_0_31_31, all_0_54_54 and discharging atoms op(e0, e4) = all_0_31_31, op(e0, e4) = all_0_54_54, yields: % 14.69/3.94 | (1641) all_0_31_31 = all_0_54_54 % 14.69/3.94 | % 14.69/3.94 +-Applying beta-rule and splitting (172), into two cases. % 14.69/3.94 |-Branch one: % 14.69/3.94 | (1163) (all_0_31_31 = e4 & ~ (all_0_32_32 = e0)) | (all_0_33_33 = e3 & ~ (all_0_34_34 = e0)) % 14.69/3.94 | % 14.69/3.94 +-Applying beta-rule and splitting (1163), into two cases. % 14.69/3.94 |-Branch one: % 14.69/3.94 | (1164) all_0_31_31 = e4 & ~ (all_0_32_32 = e0) % 14.69/3.94 | % 14.69/3.94 | Applying alpha-rule on (1164) yields: % 14.69/3.94 | (1165) all_0_31_31 = e4 % 14.69/3.94 | (1166) ~ (all_0_32_32 = e0) % 14.69/3.94 | % 14.69/3.94 | Combining equations (1165,1641) yields a new equation: % 14.69/3.94 | (606) all_0_54_54 = e4 % 14.69/3.94 | % 14.69/3.94 | Equations (606) can reduce 298 to: % 14.69/3.94 | (304) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (1168) all_0_33_33 = e3 & ~ (all_0_34_34 = e0) % 14.69/3.94 | % 14.69/3.94 | Applying alpha-rule on (1168) yields: % 14.69/3.94 | (1169) all_0_33_33 = e3 % 14.69/3.94 | (1170) ~ (all_0_34_34 = e0) % 14.69/3.94 | % 14.69/3.94 +-Applying beta-rule and splitting (190), into two cases. % 14.69/3.94 |-Branch one: % 14.69/3.94 | (290) ~ (all_0_43_43 = e0) % 14.69/3.94 | % 14.69/3.94 +-Applying beta-rule and splitting (30), into two cases. % 14.69/3.94 |-Branch one: % 14.69/3.94 | (332) all_0_42_42 = e0 % 14.69/3.94 | % 14.69/3.94 | Equations (332) can reduce 348 to: % 14.69/3.94 | (304) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (348) ~ (all_0_42_42 = e0) % 14.69/3.94 | (1693) all_0_43_43 = e0 | all_0_44_44 = e0 | all_0_46_46 = e0 % 14.69/3.94 | % 14.69/3.94 +-Applying beta-rule and splitting (23), into two cases. % 14.69/3.94 |-Branch one: % 14.69/3.94 | (323) all_0_39_39 = e0 % 14.69/3.94 | % 14.69/3.94 | Equations (323) can reduce 351 to: % 14.69/3.94 | (304) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (351) ~ (all_0_39_39 = e0) % 14.69/3.94 | (352) all_0_43_43 = e0 | all_0_47_47 = e0 | all_0_55_55 = e0 % 14.69/3.94 | % 14.69/3.94 +-Applying beta-rule and splitting (1693), into two cases. % 14.69/3.94 |-Branch one: % 14.69/3.94 | (430) all_0_43_43 = e0 % 14.69/3.94 | % 14.69/3.94 | Equations (430) can reduce 290 to: % 14.69/3.94 | (304) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (290) ~ (all_0_43_43 = e0) % 14.69/3.94 | (1697) all_0_44_44 = e0 | all_0_46_46 = e0 % 14.69/3.94 | % 14.69/3.94 +-Applying beta-rule and splitting (352), into two cases. % 14.69/3.94 |-Branch one: % 14.69/3.94 | (430) all_0_43_43 = e0 % 14.69/3.94 | % 14.69/3.94 | Equations (430) can reduce 290 to: % 14.69/3.94 | (304) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (290) ~ (all_0_43_43 = e0) % 14.69/3.94 | (513) all_0_47_47 = e0 | all_0_55_55 = e0 % 14.69/3.94 | % 14.69/3.94 +-Applying beta-rule and splitting (513), into two cases. % 14.69/3.94 |-Branch one: % 14.69/3.94 | (370) all_0_47_47 = e0 % 14.69/3.94 | % 14.69/3.94 | Equations (370) can reduce 364 to: % 14.69/3.94 | (304) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (364) ~ (all_0_47_47 = e0) % 14.69/3.94 | (362) all_0_55_55 = e0 % 14.69/3.94 | % 14.69/3.94 | From (362) and (93) follows: % 14.69/3.94 | (527) op(e3, e0) = all_0_14_14 % 14.69/3.94 | % 14.69/3.94 +-Applying beta-rule and splitting (1697), into two cases. % 14.69/3.94 |-Branch one: % 14.69/3.94 | (337) all_0_44_44 = e0 % 14.69/3.94 | % 14.69/3.94 | Equations (337) can reduce 334 to: % 14.69/3.94 | (304) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (334) ~ (all_0_44_44 = e0) % 14.69/3.94 | (1728) all_0_46_46 = e0 % 14.69/3.94 | % 14.69/3.94 | From (1728) and (148) follows: % 14.69/3.94 | (2862) op(e3, e0) = all_0_34_34 % 14.69/3.94 | % 14.69/3.94 | From (1728) and (102) follows: % 14.69/3.94 | (2863) op(e3, e0) = e0 % 14.69/3.94 | % 14.69/3.94 | Instantiating formula (180) with e3, e0, all_0_34_34, all_0_14_14 and discharging atoms op(e3, e0) = all_0_14_14, op(e3, e0) = all_0_34_34, yields: % 14.72/3.94 | (1156) all_0_14_14 = all_0_34_34 % 14.72/3.94 | % 14.72/3.94 | Instantiating formula (180) with e3, e0, e0, all_0_14_14 and discharging atoms op(e3, e0) = all_0_14_14, op(e3, e0) = e0, yields: % 14.72/3.94 | (703) all_0_14_14 = e0 % 14.72/3.94 | % 14.72/3.94 | Combining equations (703,1156) yields a new equation: % 14.72/3.94 | (679) all_0_34_34 = e0 % 14.72/3.94 | % 14.72/3.94 | Equations (679) can reduce 1170 to: % 14.72/3.94 | (304) $false % 14.72/3.94 | % 14.72/3.94 |-The branch is then unsatisfiable % 14.72/3.94 |-Branch two: % 14.72/3.94 | (430) all_0_43_43 = e0 % 14.72/3.94 | (924) all_0_46_46 = e3 % 14.72/3.94 | % 14.72/3.94 | From (924) and (148) follows: % 14.72/3.94 | (1127) op(e3, e3) = all_0_34_34 % 14.72/3.94 | % 14.72/3.94 | From (430) and (83) follows: % 14.72/3.94 | (1153) op(e3, e3) = e0 % 14.72/3.94 | % 14.72/3.94 | Instantiating formula (180) with e3, e3, e0, all_0_34_34 and discharging atoms op(e3, e3) = all_0_34_34, op(e3, e3) = e0, yields: % 14.72/3.94 | (679) all_0_34_34 = e0 % 14.72/3.94 | % 14.72/3.94 | Equations (679) can reduce 1170 to: % 14.72/3.94 | (304) $false % 14.72/3.94 | % 14.72/3.94 |-The branch is then unsatisfiable % 14.72/3.94 |-Branch two: % 14.72/3.94 | (1172) all_0_35_35 = e2 & ~ (all_0_36_36 = e0) % 14.72/3.94 | % 14.72/3.94 | Applying alpha-rule on (1172) yields: % 14.72/3.94 | (1173) all_0_35_35 = e2 % 14.72/3.94 | (1174) ~ (all_0_36_36 = e0) % 14.72/3.94 | % 14.72/3.94 | Equations (1162) can reduce 1174 to: % 14.72/3.94 | (304) $false % 14.72/3.94 | % 14.72/3.94 |-The branch is then unsatisfiable % 14.72/3.94 |-Branch two: % 14.72/3.94 | (426) all_0_43_43 = e2 % 14.72/3.94 | (570) all_0_44_44 = e3 % 14.72/3.94 | % 14.72/3.94 | Equations (426) can reduce 153 to: % 14.72/3.94 | (762) ~ (all_0_39_39 = e2) % 14.72/3.94 | % 14.72/3.94 | Equations (426) can reduce 236 to: % 14.72/3.94 | (278) ~ (all_0_52_52 = e2) % 14.72/3.94 | % 14.72/3.94 | Simplifying 278 yields: % 14.72/3.94 | (279) ~ (all_0_52_52 = e2) % 14.72/3.94 | % 14.72/3.94 | Equations (570) can reduce 112 to: % 14.72/3.94 | (1299) ~ (all_0_53_53 = e3) % 14.72/3.94 | % 14.72/3.94 | Simplifying 1299 yields: % 14.72/3.94 | (836) ~ (all_0_53_53 = e3) % 14.72/3.94 | % 14.72/3.94 | From (570) and (171) follows: % 14.72/3.94 | (2994) op(e2, e3) = all_0_16_16 % 14.72/3.94 | % 14.72/3.94 +-Applying beta-rule and splitting (7), into two cases. % 14.72/3.94 |-Branch one: % 14.72/3.94 | (437) all_0_52_52 = e3 % 14.72/3.94 | % 14.72/3.94 | Equations (437) can reduce 98 to: % 14.72/3.94 | (809) ~ (all_0_39_39 = e3) % 14.72/3.94 | % 14.72/3.94 | Equations (437) can reduce 101 to: % 14.72/3.94 | (208) ~ (all_0_47_47 = e3) % 14.72/3.94 | % 14.72/3.94 | Equations (437) can reduce 108 to: % 14.72/3.94 | (19) ~ (all_0_51_51 = e3) % 14.72/3.94 | % 14.72/3.94 | Equations (437) can reduce 52 to: % 14.72/3.94 | (1299) ~ (all_0_53_53 = e3) % 14.72/3.94 | % 14.72/3.94 | Simplifying 1299 yields: % 14.72/3.94 | (836) ~ (all_0_53_53 = e3) % 14.72/3.94 | % 14.72/3.94 | Equations (437) can reduce 279 to: % 14.72/3.94 | (228) ~ (e3 = e2) % 14.72/3.94 | % 14.72/3.94 +-Applying beta-rule and splitting (216), into two cases. % 14.72/3.94 |-Branch one: % 14.72/3.94 | (576) all_0_39_39 = e2 % 14.72/3.94 | % 14.72/3.94 | Equations (576) can reduce 762 to: % 14.72/3.94 | (304) $false % 14.72/3.94 | % 14.72/3.94 |-The branch is then unsatisfiable % 14.72/3.94 |-Branch two: % 14.72/3.94 | (762) ~ (all_0_39_39 = e2) % 14.72/3.94 | (767) all_0_40_40 = e2 | all_0_41_41 = e2 % 14.72/3.94 | % 14.72/3.94 +-Applying beta-rule and splitting (767), into two cases. % 14.72/3.94 |-Branch one: % 14.72/3.94 | (770) all_0_40_40 = e2 % 14.72/3.94 | % 14.72/3.94 +-Applying beta-rule and splitting (28), into two cases. % 14.72/3.94 |-Branch one: % 14.72/3.94 | (786) all_0_39_39 = e3 % 14.72/3.94 | % 14.72/3.94 | Equations (786) can reduce 809 to: % 14.72/3.94 | (304) $false % 14.72/3.94 | % 14.72/3.94 |-The branch is then unsatisfiable % 14.72/3.94 |-Branch two: % 14.72/3.94 | (809) ~ (all_0_39_39 = e3) % 14.72/3.94 | (810) all_0_40_40 = e3 | all_0_41_41 = e3 % 14.72/3.94 | % 14.72/3.94 +-Applying beta-rule and splitting (810), into two cases. % 14.72/3.94 |-Branch one: % 14.72/3.94 | (1113) all_0_40_40 = e3 % 14.72/3.94 | % 14.72/3.94 | Combining equations (770,1113) yields a new equation: % 14.72/3.94 | (760) e3 = e2 % 14.72/3.94 | % 14.72/3.94 | Equations (760) can reduce 228 to: % 14.72/3.94 | (304) $false % 14.72/3.94 | % 14.72/3.94 |-The branch is then unsatisfiable % 14.72/3.94 |-Branch two: % 14.72/3.94 | (1337) ~ (all_0_40_40 = e3) % 14.72/3.94 | (1120) all_0_41_41 = e3 % 14.72/3.94 | % 14.72/3.94 | Equations (1120) can reduce 224 to: % 14.72/3.94 | (154) ~ (e3 = e1) % 14.72/3.94 | % 14.72/3.94 +-Applying beta-rule and splitting (82), into two cases. % 14.72/3.94 |-Branch one: % 14.72/3.94 | (291) ~ (all_0_38_38 = e0) % 14.72/3.94 | % 14.72/3.94 +-Applying beta-rule and splitting (178), into two cases. % 14.72/3.94 |-Branch one: % 14.72/3.94 | (317) all_0_38_38 = e0 % 14.72/3.94 | % 14.72/3.94 | Equations (317) can reduce 291 to: % 14.72/3.94 | (304) $false % 14.72/3.94 | % 14.72/3.94 |-The branch is then unsatisfiable % 14.72/3.94 |-Branch two: % 14.72/3.94 | (291) ~ (all_0_38_38 = e0) % 14.72/3.94 | (322) all_0_39_39 = e0 | all_0_41_41 = e0 % 14.72/3.95 | % 14.72/3.95 +-Applying beta-rule and splitting (197), into two cases. % 14.72/3.95 |-Branch one: % 14.72/3.95 | (292) all_0_38_38 = e4 % 14.72/3.95 | % 14.72/3.95 | Equations (292) can reduce 152 to: % 14.72/3.95 | (3023) ~ (all_0_51_51 = e4) % 14.72/3.95 | % 14.72/3.95 | Simplifying 3023 yields: % 14.72/3.95 | (630) ~ (all_0_51_51 = e4) % 14.72/3.95 | % 14.72/3.95 +-Applying beta-rule and splitting (244), into two cases. % 14.72/3.95 |-Branch one: % 14.72/3.95 | (276) all_0_51_51 = e2 % 14.72/3.95 | % 14.72/3.95 | Equations (276) can reduce 80 to: % 14.72/3.95 | (270) ~ (all_0_53_53 = e2) % 14.72/3.95 | % 14.72/3.95 | Simplifying 270 yields: % 14.72/3.95 | (271) ~ (all_0_53_53 = e2) % 14.72/3.95 | % 14.72/3.95 | Equations (276) can reduce 19 to: % 14.72/3.95 | (284) ~ (e3 = e2) % 14.72/3.95 | % 14.72/3.95 | Simplifying 284 yields: % 14.72/3.95 | (228) ~ (e3 = e2) % 14.72/3.95 | % 14.72/3.95 | Equations (276) can reduce 188 to: % 14.72/3.95 | (63) ~ (e2 = e0) % 14.72/3.95 | % 14.72/3.95 +-Applying beta-rule and splitting (96), into two cases. % 14.72/3.95 |-Branch one: % 14.72/3.95 | (619) all_0_53_53 = e2 % 14.72/3.95 | % 14.72/3.95 | Equations (619) can reduce 271 to: % 14.72/3.95 | (304) $false % 14.72/3.95 | % 14.72/3.95 |-The branch is then unsatisfiable % 14.72/3.95 |-Branch two: % 14.72/3.95 | (271) ~ (all_0_53_53 = e2) % 14.72/3.95 | (622) all_0_53_53 = e4 | all_0_53_53 = e3 % 14.72/3.95 | % 14.72/3.95 +-Applying beta-rule and splitting (622), into two cases. % 14.72/3.95 |-Branch one: % 14.72/3.95 | (623) all_0_53_53 = e4 % 14.72/3.95 | % 14.72/3.95 | Equations (623) can reduce 271 to: % 14.72/3.95 | (239) ~ (e4 = e2) % 14.72/3.95 | % 14.72/3.95 | From (623) and (209) follows: % 14.72/3.95 | (3037) op(e2, e4) = all_0_19_19 % 14.72/3.95 | % 14.72/3.95 +-Applying beta-rule and splitting (199), into two cases. % 14.72/3.95 |-Branch one: % 14.72/3.95 | (443) all_0_56_56 = e2 % 14.72/3.95 | % 14.72/3.95 | From (443) and (161) follows: % 14.72/3.95 | (3039) op(e0, e2) = all_0_22_22 % 14.72/3.95 | % 14.72/3.95 | From (443) and (69) follows: % 14.72/3.95 | (3040) op(e0, e2) = e2 % 14.72/3.95 | % 14.72/3.95 | Instantiating formula (180) with e2, e4, all_0_19_19, e3 and discharging atoms op(e2, e4) = all_0_19_19, op(e2, e4) = e3, yields: % 14.72/3.95 | (3041) all_0_19_19 = e3 % 14.72/3.95 | % 14.72/3.95 | Instantiating formula (180) with e2, e3, all_0_16_16, all_0_47_47 and discharging atoms op(e2, e3) = all_0_16_16, op(e2, e3) = all_0_47_47, yields: % 14.72/3.95 | (3042) all_0_16_16 = all_0_47_47 % 14.72/3.95 | % 14.72/3.95 | Instantiating formula (180) with e0, e2, e2, all_0_22_22 and discharging atoms op(e0, e2) = all_0_22_22, op(e0, e2) = e2, yields: % 14.72/3.95 | (3043) all_0_22_22 = e2 % 14.72/3.95 | % 14.72/3.95 +-Applying beta-rule and splitting (254), into two cases. % 14.72/3.95 |-Branch one: % 14.72/3.95 | (3044) (all_0_16_16 = e3 & ~ (all_0_17_17 = e2)) | (all_0_19_19 = e1 & ~ (all_0_20_20 = e2)) | (all_0_21_21 = e0 & ~ (all_0_22_22 = e2)) % 14.72/3.95 | % 14.72/3.95 +-Applying beta-rule and splitting (3044), into two cases. % 14.72/3.95 |-Branch one: % 14.72/3.95 | (3045) (all_0_16_16 = e3 & ~ (all_0_17_17 = e2)) | (all_0_19_19 = e1 & ~ (all_0_20_20 = e2)) % 14.72/3.95 | % 14.72/3.95 +-Applying beta-rule and splitting (3045), into two cases. % 14.72/3.95 |-Branch one: % 14.72/3.95 | (3046) all_0_16_16 = e3 & ~ (all_0_17_17 = e2) % 14.72/3.95 | % 14.72/3.95 | Applying alpha-rule on (3046) yields: % 14.72/3.95 | (3047) all_0_16_16 = e3 % 14.72/3.95 | (3048) ~ (all_0_17_17 = e2) % 14.72/3.95 | % 14.72/3.95 | Combining equations (3042,3047) yields a new equation: % 14.72/3.95 | (3049) all_0_47_47 = e3 % 14.72/3.95 | % 14.72/3.95 | Simplifying 3049 yields: % 14.72/3.95 | (3050) all_0_47_47 = e3 % 14.72/3.95 | % 14.72/3.95 | Equations (3050) can reduce 208 to: % 14.72/3.95 | (304) $false % 14.72/3.95 | % 14.72/3.95 |-The branch is then unsatisfiable % 14.72/3.95 |-Branch two: % 14.72/3.95 | (3052) all_0_19_19 = e1 & ~ (all_0_20_20 = e2) % 14.72/3.95 | % 14.72/3.95 | Applying alpha-rule on (3052) yields: % 14.72/3.95 | (3053) all_0_19_19 = e1 % 14.72/3.95 | (3054) ~ (all_0_20_20 = e2) % 14.72/3.95 | % 14.72/3.95 | Combining equations (3041,3053) yields a new equation: % 14.72/3.95 | (2608) e3 = e1 % 14.72/3.95 | % 14.72/3.95 | Simplifying 2608 yields: % 14.72/3.95 | (1398) e3 = e1 % 14.72/3.95 | % 14.72/3.95 | Equations (1398) can reduce 154 to: % 14.72/3.95 | (304) $false % 14.72/3.95 | % 14.72/3.95 |-The branch is then unsatisfiable % 14.72/3.95 |-Branch two: % 14.72/3.95 | (3058) all_0_21_21 = e0 & ~ (all_0_22_22 = e2) % 14.72/3.95 | % 14.72/3.95 | Applying alpha-rule on (3058) yields: % 14.72/3.95 | (1159) all_0_21_21 = e0 % 14.72/3.95 | (3060) ~ (all_0_22_22 = e2) % 14.72/3.95 | % 14.72/3.95 | Equations (3043) can reduce 3060 to: % 14.72/3.95 | (304) $false % 14.72/3.95 | % 14.72/3.95 |-The branch is then unsatisfiable % 14.72/3.95 |-Branch two: % 14.72/3.95 | (3062) all_0_49_49 = e4 & ~ (all_0_40_40 = e2) % 14.72/3.95 | % 14.72/3.95 | Applying alpha-rule on (3062) yields: % 14.72/3.95 | (654) all_0_49_49 = e4 % 14.72/3.95 | (832) ~ (all_0_40_40 = e2) % 14.72/3.95 | % 14.72/3.95 | Equations (770) can reduce 832 to: % 14.72/3.95 | (304) $false % 14.72/3.95 | % 14.72/3.95 |-The branch is then unsatisfiable % 14.72/3.95 |-Branch two: % 14.72/3.95 | (273) ~ (all_0_56_56 = e2) % 14.72/3.95 | (446) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0 % 14.72/3.95 | % 14.72/3.95 +-Applying beta-rule and splitting (47), into two cases. % 14.72/3.95 |-Branch one: % 14.72/3.95 | (853) all_0_44_44 = e2 % 14.72/3.95 | % 14.72/3.95 | Combining equations (570,853) yields a new equation: % 14.72/3.95 | (759) e3 = e2 % 14.72/3.95 | % 14.72/3.95 | Simplifying 759 yields: % 14.72/3.95 | (760) e3 = e2 % 14.72/3.95 | % 14.72/3.95 | Equations (760) can reduce 228 to: % 14.72/3.95 | (304) $false % 14.72/3.95 | % 14.72/3.95 |-The branch is then unsatisfiable % 14.72/3.95 |-Branch two: % 14.72/3.95 | (265) ~ (all_0_44_44 = e2) % 14.72/3.95 | (2145) all_0_48_48 = e2 | all_0_53_53 = e2 | all_0_56_56 = e2 % 14.72/3.95 | % 14.72/3.95 +-Applying beta-rule and splitting (2145), into two cases. % 14.72/3.95 |-Branch one: % 14.72/3.95 | (264) all_0_48_48 = e2 % 14.72/3.95 | % 14.72/3.95 | Combining equations (264,341) yields a new equation: % 14.72/3.95 | (342) e2 = e0 % 14.72/3.95 | % 14.72/3.95 | Simplifying 342 yields: % 14.72/3.95 | (343) e2 = e0 % 14.72/3.95 | % 14.72/3.95 | Equations (343) can reduce 63 to: % 14.72/3.95 | (304) $false % 14.72/3.95 | % 14.72/3.95 |-The branch is then unsatisfiable % 14.72/3.95 |-Branch two: % 14.72/3.95 | (1994) ~ (all_0_48_48 = e2) % 14.72/3.95 | (2151) all_0_53_53 = e2 | all_0_56_56 = e2 % 14.72/3.95 | % 14.72/3.95 +-Applying beta-rule and splitting (2151), into two cases. % 14.72/3.95 |-Branch one: % 14.72/3.95 | (619) all_0_53_53 = e2 % 14.72/3.95 | % 14.72/3.95 | Combining equations (623,619) yields a new equation: % 14.72/3.95 | (724) e4 = e2 % 14.72/3.95 | % 14.72/3.95 | Simplifying 724 yields: % 14.72/3.95 | (540) e4 = e2 % 14.72/3.95 | % 14.72/3.95 | Equations (540) can reduce 239 to: % 14.72/3.95 | (304) $false % 14.72/3.95 | % 14.72/3.95 |-The branch is then unsatisfiable % 14.72/3.95 |-Branch two: % 14.72/3.95 | (271) ~ (all_0_53_53 = e2) % 14.72/3.95 | (443) all_0_56_56 = e2 % 14.72/3.95 | % 14.72/3.95 | Equations (443) can reduce 273 to: % 14.72/3.95 | (304) $false % 14.72/3.95 | % 14.72/3.95 |-The branch is then unsatisfiable % 14.72/3.95 |-Branch two: % 14.72/3.95 | (617) ~ (all_0_53_53 = e4) % 14.72/3.95 | (440) all_0_53_53 = e3 % 14.72/3.95 | % 14.72/3.95 | Equations (440) can reduce 836 to: % 14.72/3.95 | (304) $false % 14.72/3.95 | % 14.72/3.95 |-The branch is then unsatisfiable % 14.72/3.95 |-Branch two: % 14.72/3.95 | (1565) ~ (all_0_51_51 = e2) % 14.72/3.95 | (627) all_0_51_51 = e4 % 14.72/3.95 | % 14.72/3.95 | Equations (627) can reduce 630 to: % 14.72/3.95 | (304) $false % 14.72/3.95 | % 14.72/3.95 |-The branch is then unsatisfiable % 14.72/3.95 |-Branch two: % 14.72/3.95 | (476) ~ (all_0_38_38 = e4) % 14.72/3.95 | (317) all_0_38_38 = e0 % 14.72/3.95 | % 14.72/3.95 | Equations (317) can reduce 291 to: % 14.72/3.95 | (304) $false % 14.72/3.95 | % 14.72/3.95 |-The branch is then unsatisfiable % 14.72/3.95 |-Branch two: % 14.72/3.95 | (317) all_0_38_38 = e0 % 14.72/3.95 | (480) all_0_41_41 = e4 % 14.72/3.95 | % 14.72/3.95 | Combining equations (480,1120) yields a new equation: % 14.72/3.95 | (461) e4 = e3 % 14.72/3.95 | % 14.72/3.95 | Simplifying 461 yields: % 14.72/3.95 | (462) e4 = e3 % 14.72/3.95 | % 14.72/3.95 | Equations (462) can reduce 39 to: % 14.72/3.95 | (304) $false % 14.72/3.95 | % 14.72/3.95 |-The branch is then unsatisfiable % 14.72/3.95 |-Branch two: % 14.72/3.95 | (832) ~ (all_0_40_40 = e2) % 14.72/3.95 | (539) all_0_41_41 = e2 % 14.72/3.95 | % 14.72/3.95 | Equations (539) can reduce 542 to: % 14.72/3.95 | (304) $false % 14.72/3.95 | % 14.72/3.95 |-The branch is then unsatisfiable % 14.72/3.95 |-Branch two: % 14.72/3.95 | (436) ~ (all_0_52_52 = e3) % 14.72/3.95 | (440) all_0_53_53 = e3 % 14.72/3.95 | % 14.72/3.95 | Equations (440) can reduce 836 to: % 14.72/3.95 | (304) $false % 14.72/3.95 | % 14.72/3.95 |-The branch is then unsatisfiable % 14.72/3.95 % SZS output end Proof for theBenchmark % 14.72/3.95 % 14.72/3.95 3331ms %------------------------------------------------------------------------------