%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : ALG059+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n027.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 15:34:01 EDT 2022 % Result : Theorem 9.20s 2.75s % Output : Proof 35.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : ALG059+1 : TPTP v8.1.0. Released v2.7.0. % 0.10/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.11/0.32 % Computer : n027.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 600 % 0.11/0.32 % DateTime : Tue Jun 7 23:38:41 EDT 2022 % 0.11/0.33 % CPUTime : % 0.17/0.57 ____ _ % 0.17/0.57 ___ / __ \_____(_)___ ________ __________ % 0.17/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.17/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.17/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.17/0.57 % 0.17/0.57 A Theorem Prover for First-Order Logic % 0.17/0.58 (ePrincess v.1.0) % 0.17/0.58 % 0.17/0.58 (c) Philipp Rümmer, 2009-2015 % 0.17/0.58 (c) Peter Backeman, 2014-2015 % 0.17/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.17/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.17/0.58 Bug reports to peter@backeman.se % 0.17/0.58 % 0.17/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.17/0.58 % 0.17/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.70/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.43/1.16 Prover 0: Preprocessing ... % 4.43/1.59 Prover 0: Constructing countermodel ... % 9.20/2.75 Prover 0: proved (2122ms) % 9.20/2.75 % 9.20/2.75 No countermodel exists, formula is valid % 9.20/2.75 % SZS status Theorem for theBenchmark % 9.20/2.75 % 9.20/2.75 Generating proof ... found it (size 20101) % 29.01/8.05 % 29.01/8.05 % SZS output start Proof for theBenchmark % 29.01/8.05 Assumed formulas after preprocessing and simplification: % 29.01/8.05 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : ? [v48] : ? [v49] : ? [v50] : ? [v51] : ? [v52] : ? [v53] : ? [v54] : ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ( ~ (v20 = v19) & ~ (v20 = v18) & ~ (v20 = v17) & ~ (v20 = v16) & ~ (v20 = v15) & ~ (v20 = v12) & ~ (v20 = v8) & ~ (v20 = v4) & ~ (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v11) & ~ (v19 = v7) & ~ (v19 = v3) & ~ (v19 = e4) & ~ (v18 = v17) & ~ (v18 = v16) & ~ (v18 = v6) & ~ (v18 = v2) & ~ (v18 = e3) & ~ (v18 = e1) & ~ (v17 = v16) & ~ (v17 = v14) & ~ (v17 = v10) & ~ (v17 = v1) & ~ (v17 = e0) & ~ (v16 = v13) & ~ (v16 = v9) & ~ (v16 = v5) & ~ (v16 = v0) & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ (v15 = v8) & ~ (v15 = v4) & ~ (v15 = e4) & ~ (v15 = e1) & ~ (v14 = v13) & ~ (v14 = v10) & ~ (v14 = v1) & ~ (v14 = e4) & ~ (v14 = e1) & ~ (v14 = e0) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v0) & ~ (v13 = e4) & ~ (v13 = e1) & ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = v9) & ~ (v12 = v8) & ~ (v12 = v4) & ~ (v12 = e3) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v11 = e4) & ~ (v11 = e3) & ~ (v10 = v9) & ~ (v10 = v1) & ~ (v10 = e3) & ~ (v10 = e0) & ~ (v9 = v5) & ~ (v9 = v0) & ~ (v9 = e3) & ~ (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v4) & ~ (v8 = e0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v3) & ~ (v7 = e4) & ~ (v7 = e0) & ~ (v6 = v5) & ~ (v6 = v2) & ~ (v6 = e3) & ~ (v6 = e1) & ~ (v6 = e0) & ~ (v5 = v0) & ~ (v5 = e0) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v3 = e4) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e3) & ~ (v2 = e1) & ~ (v1 = v0) & ~ (v1 = e0) & ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(v20, e4) = v60 & op(v19, e4) = v59 & op(v19, e3) = v58 & op(v18, e4) = v57 & op(v18, e2) = v56 & op(v17, e4) = v55 & op(v17, e1) = v54 & op(v16, e4) = v53 & op(v16, e0) = v52 & op(v15, e4) = v50 & op(v15, e3) = v51 & op(v14, e3) = v49 & op(v14, e1) = v48 & op(v13, e3) = v47 & op(v13, e0) = v46 & op(v12, e4) = v44 & op(v12, e2) = v45 & op(v11, e3) = v42 & op(v11, e2) = v43 & op(v10, e2) = v41 & op(v10, e1) = v40 & op(v9, e2) = v39 & op(v9, e0) = v38 & op(v8, e4) = v36 & op(v8, e1) = v37 & op(v7, e3) = v34 & op(v7, e1) = v35 & op(v6, e2) = v32 & op(v6, e1) = v33 & op(v5, e1) = v31 & op(v5, e0) = v30 & op(v4, e4) = v28 & op(v4, e0) = v29 & op(v3, e3) = v26 & op(v3, e0) = v27 & op(v2, e2) = v24 & op(v2, e0) = v25 & op(v1, e1) = v22 & op(v1, e0) = v23 & op(v0, e0) = v21 & op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e4, e4) = v20 & op(e4, e3) = v19 & op(e4, e2) = v18 & op(e4, e1) = v17 & op(e4, e0) = v16 & op(e3, unit) = e3 & op(e3, e4) = v15 & op(e3, e3) = e4 & op(e3, e2) = e1 & op(e3, e1) = v14 & op(e3, e0) = v13 & op(e2, unit) = e2 & op(e2, e4) = v12 & op(e2, e3) = v11 & op(e2, e2) = e3 & op(e2, e1) = v10 & op(e2, e0) = v9 & op(e1, unit) = e1 & op(e1, e4) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 & op(e1, e1) = e0 & op(e1, e0) = v5 & op(e0, unit) = e0 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & ! [v61] : ! [v62] : ! [v63] : ! [v64] : (v62 = v61 | ~ (op(v64, v63) = v62) | ~ (op(v64, v63) = v61)) & (v20 = e4 | v20 = e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v20 = e4 | v18 = e4 | v17 = e4 | v16 = e4) & (v20 = e4 | v12 = e4 | v8 = e4 | v4 = e4) & (v20 = e3 | v19 = e3 | v17 = e3 | v16 = e3) & (v20 = e3 | v15 = e3 | v8 = e3 | v4 = e3) & (v20 = e2 | v19 = e2 | v18 = e2 | v17 = e2 | v16 = e2) & (v20 = e2 | v15 = e2 | v12 = e2 | v8 = e2 | v4 = e2) & (v20 = e1 | v19 = e1 | v17 = e1 | v16 = e1) & (v20 = e1 | v12 = e1 | v8 = e1 | v4 = e1) & (v20 = e0 | v19 = e0 | v18 = e0 | v16 = e0) & (v20 = e0 | v15 = e0 | v12 = e0 | v4 = e0) & (v19 = e3 | v19 = e2 | v19 = e1 | v19 = e0) & (v19 = e3 | v7 = e3 | v3 = e3) & (v19 = e2 | v11 = e2 | v7 = e2 | v3 = e2) & (v19 = e1 | v11 = e1 | v7 = e1 | v3 = e1) & (v19 = e0 | v11 = e0 | v3 = e0) & (v18 = e4 | v18 = e2 | v18 = e0) & (v18 = e4 | v6 = e4 | v2 = e4) & (v18 = e2 | v6 = e2 | v2 = e2) & (v18 = e0 | v2 = e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1) & (v17 = e4 | v10 = e4 | v1 = e4) & (v17 = e3 | v14 = e3 | v1 = e3) & (v17 = e2 | v14 = e2 | v10 = e2 | v1 = e2) & (v17 = e1 | v10 = e1 | v1 = e1) & (v16 = e4 | v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) & (v16 = e4 | v9 = e4 | v5 = e4 | v0 = e4) & (v16 = e3 | v13 = e3 | v5 = e3 | v0 = e3) & (v16 = e2 | v13 = e2 | v9 = e2 | v5 = e2 | v0 = e2) & (v16 = e1 | v9 = e1 | v5 = e1 | v0 = e1) & (v16 = e0 | v13 = e0 | v9 = e0 | v0 = e0) & (v15 = e3 | v15 = e2 | v15 = e0) & (v15 = e3 | v14 = e3 | v13 = e3) & (v15 = e2 | v14 = e2 | v13 = e2) & (v15 = e0 | v13 = e0) & (v14 = e3 | v14 = e2) & (v13 = e3 | v13 = e2 | v13 = e0) & (v12 = e4 | v12 = e2 | v12 = e1 | v12 = e0) & (v12 = e4 | v10 = e4 | v9 = e4) & (v12 = e2 | v11 = e2 | v10 = e2 | v9 = e2) & (v12 = e1 | v11 = e1 | v10 = e1 | v9 = e1) & (v12 = e0 | v11 = e0 | v9 = e0) & (v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e4 | v10 = e2 | v10 = e1) & (v9 = e4 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e4 | v8 = e3 | v8 = e2 | v8 = e1) & (v8 = e4 | v6 = e4 | v5 = e4) & (v8 = e3 | v7 = e3 | v5 = e3) & (v8 = e2 | v7 = e2 | v6 = e2 | v5 = e2) & (v8 = e1 | v7 = e1 | v5 = e1) & (v7 = e3 | v7 = e2 | v7 = e1) & (v6 = e4 | v6 = e2) & (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1) & (v4 = e4 | v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v4 = e4 | v2 = e4 | v1 = e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v1 = e3 | v0 = e3) & (v4 = e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v1 = e1 | v0 = e1) & (v4 = e0 | v3 = e0 | v2 = e0 | v0 = e0) & (v3 = e3 | v3 = e2 | v3 = e1 | v3 = e0) & (v2 = e4 | v2 = e2 | v2 = e0) & (v1 = e4 | v1 = e3 | v1 = e2 | v1 = e1) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0) & ((v58 = e4 & ~ (v59 = e3) & ~ (v19 = v15)) | (v56 = e4 & ~ (v57 = e2) & ~ (v18 = v12)) | (v54 = e4 & ~ (v55 = e1) & ~ (v17 = v8)) | (v52 = e4 & ~ (v53 = e0) & ~ (v16 = v4)) | (v50 = e3 & ~ (v51 = e4) & ~ (v19 = v15)) | (v48 = e3 & ~ (v49 = e1) & ~ (v14 = v7)) | (v46 = e3 & ~ (v47 = e0) & ~ (v13 = v3)) | (v44 = e2 & ~ (v45 = e4) & ~ (v18 = v12)) | (v42 = e2 & ~ (v43 = e3) & ~ (v11 = e1)) | (v40 = e2 & ~ (v41 = e1) & ~ (v10 = v6)) | (v38 = e2 & ~ (v39 = e0) & ~ (v9 = v2)) | (v36 = e1 & ~ (v37 = e4) & ~ (v17 = v8)) | (v34 = e1 & ~ (v35 = e3) & ~ (v14 = v7)) | (v32 = e1 & ~ (v33 = e2) & ~ (v10 = v6)) | (v30 = e1 & ~ (v31 = e0) & ~ (v5 = v1)) | (v28 = e0 & ~ (v29 = e4) & ~ (v16 = v4)) | (v26 = e0 & ~ (v27 = e3) & ~ (v13 = v3)) | (v24 = e0 & ~ (v25 = e2) & ~ (v9 = v2)) | (v22 = e0 & ~ (v23 = e1) & ~ (v5 = v1))) & ((v15 = e3 & ~ (v5 = e4) & ~ (unit = e4) & ( ~ (v18 = e4) | v20 = e2) & ( ~ (v17 = e4) | v20 = e1) & ( ~ (v16 = e4) | v20 = e0) & ( ~ (v10 = e4) | v12 = e1) & ( ~ (v9 = e4) | v12 = e0) & ( ~ (v6 = e4) | v8 = e2) & ( ~ (v2 = e4) | v4 = e2) & ( ~ (v1 = e4) | v4 = e1) & ( ~ (v0 = e4) | v4 = e0)) | (v14 = e2 & ~ (v16 = e1) & ~ (v11 = e1) & ~ (v9 = e1) & ~ (v8 = e1) & ~ (v7 = e1) & ~ (v0 = e1) & ~ (unit = e1) & ( ~ (v20 = e1) | v17 = e4) & ( ~ (v19 = e1) | v17 = e3) & ( ~ (v12 = e1) | v10 = e4) & ( ~ (v4 = e1) | v1 = e4) & ( ~ (v3 = e1) | v1 = e3)) | (v11 = e2 & ~ (v20 = e3) & ~ (v14 = e3) & ~ (v13 = e3) & ~ (v8 = e3) & ~ (v5 = e3) & ~ (v4 = e3) & ~ (unit = e3) & ( ~ (v17 = e3) | v19 = e1) & ( ~ (v16 = e3) | v19 = e0) & ( ~ (v1 = e3) | v3 = e1) & ( ~ (v0 = e3) | v3 = e0)) | (v5 = e1 & ~ (v15 = e0) & ~ (v11 = e0) & ~ (unit = e0) & ( ~ (v20 = e0) | v16 = e4) & ( ~ (v19 = e0) | v16 = e3) & ( ~ (v18 = e0) | v16 = e2) & ( ~ (v12 = e0) | v9 = e4) & ( ~ (v4 = e0) | v0 = e4) & ( ~ (v3 = e0) | v0 = e3) & ( ~ (v2 = e0) | v0 = e2)) | ( ~ (v19 = e2) & ~ (v17 = e2) & ~ (v15 = e2) & ~ (v13 = e2) & ~ (v12 = e2) & ~ (v10 = e2) & ~ (v9 = e2) & ~ (v7 = e2) & ~ (v5 = e2) & ~ (v3 = e2) & ~ (v1 = e2) & ( ~ (v20 = e2) | (v18 = e4 & ~ (unit = e2))) & ( ~ (v18 = e2) | ~ (unit = e2)) & ( ~ (v16 = e2) | (v18 = e0 & ~ (unit = e2))) & ( ~ (v14 = e2) | ~ (unit = e2)) & ( ~ (v11 = e2) | ~ (unit = e2)) & ( ~ (v8 = e2) | (v6 = e4 & ~ (unit = e2))) & ( ~ (v6 = e2) | ~ (unit = e2)) & ( ~ (v4 = e2) | (v2 = e4 & ~ (unit = e2))) & ( ~ (v2 = e2) | ~ (unit = e2)) & ( ~ (v0 = e2) | (v2 = e0 & ~ (unit = e2)))))) % 29.31/8.11 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20, all_0_21_21, all_0_22_22, all_0_23_23, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27, all_0_28_28, all_0_29_29, all_0_30_30, all_0_31_31, all_0_32_32, all_0_33_33, all_0_34_34, all_0_35_35, all_0_36_36, all_0_37_37, all_0_38_38, all_0_39_39, all_0_40_40, all_0_41_41, all_0_42_42, all_0_43_43, all_0_44_44, all_0_45_45, all_0_46_46, all_0_47_47, all_0_48_48, all_0_49_49, all_0_50_50, all_0_51_51, all_0_52_52, all_0_53_53, all_0_54_54, all_0_55_55, all_0_56_56, all_0_57_57, all_0_58_58, all_0_59_59, all_0_60_60 yields: % 29.31/8.11 | (1) ~ (all_0_40_40 = all_0_41_41) & ~ (all_0_40_40 = all_0_42_42) & ~ (all_0_40_40 = all_0_43_43) & ~ (all_0_40_40 = all_0_44_44) & ~ (all_0_40_40 = all_0_45_45) & ~ (all_0_40_40 = all_0_48_48) & ~ (all_0_40_40 = all_0_52_52) & ~ (all_0_40_40 = all_0_56_56) & ~ (all_0_41_41 = all_0_42_42) & ~ (all_0_41_41 = all_0_43_43) & ~ (all_0_41_41 = all_0_44_44) & ~ (all_0_41_41 = all_0_49_49) & ~ (all_0_41_41 = all_0_53_53) & ~ (all_0_41_41 = all_0_57_57) & ~ (all_0_41_41 = e4) & ~ (all_0_42_42 = all_0_43_43) & ~ (all_0_42_42 = all_0_44_44) & ~ (all_0_42_42 = all_0_54_54) & ~ (all_0_42_42 = all_0_58_58) & ~ (all_0_42_42 = e3) & ~ (all_0_42_42 = e1) & ~ (all_0_43_43 = all_0_44_44) & ~ (all_0_43_43 = all_0_46_46) & ~ (all_0_43_43 = all_0_50_50) & ~ (all_0_43_43 = all_0_59_59) & ~ (all_0_43_43 = e0) & ~ (all_0_44_44 = all_0_47_47) & ~ (all_0_44_44 = all_0_51_51) & ~ (all_0_44_44 = all_0_55_55) & ~ (all_0_44_44 = all_0_60_60) & ~ (all_0_45_45 = all_0_46_46) & ~ (all_0_45_45 = all_0_47_47) & ~ (all_0_45_45 = all_0_48_48) & ~ (all_0_45_45 = all_0_52_52) & ~ (all_0_45_45 = all_0_56_56) & ~ (all_0_45_45 = e4) & ~ (all_0_45_45 = e1) & ~ (all_0_46_46 = all_0_47_47) & ~ (all_0_46_46 = all_0_50_50) & ~ (all_0_46_46 = all_0_59_59) & ~ (all_0_46_46 = e4) & ~ (all_0_46_46 = e1) & ~ (all_0_46_46 = e0) & ~ (all_0_47_47 = all_0_51_51) & ~ (all_0_47_47 = all_0_55_55) & ~ (all_0_47_47 = all_0_60_60) & ~ (all_0_47_47 = e4) & ~ (all_0_47_47 = e1) & ~ (all_0_48_48 = all_0_49_49) & ~ (all_0_48_48 = all_0_50_50) & ~ (all_0_48_48 = all_0_51_51) & ~ (all_0_48_48 = all_0_52_52) & ~ (all_0_48_48 = all_0_56_56) & ~ (all_0_48_48 = e3) & ~ (all_0_49_49 = all_0_50_50) & ~ (all_0_49_49 = all_0_51_51) & ~ (all_0_49_49 = all_0_53_53) & ~ (all_0_49_49 = all_0_57_57) & ~ (all_0_49_49 = e4) & ~ (all_0_49_49 = e3) & ~ (all_0_50_50 = all_0_51_51) & ~ (all_0_50_50 = all_0_59_59) & ~ (all_0_50_50 = e3) & ~ (all_0_50_50 = e0) & ~ (all_0_51_51 = all_0_55_55) & ~ (all_0_51_51 = all_0_60_60) & ~ (all_0_51_51 = e3) & ~ (all_0_52_52 = all_0_53_53) & ~ (all_0_52_52 = all_0_54_54) & ~ (all_0_52_52 = all_0_55_55) & ~ (all_0_52_52 = all_0_56_56) & ~ (all_0_52_52 = e0) & ~ (all_0_53_53 = all_0_54_54) & ~ (all_0_53_53 = all_0_55_55) & ~ (all_0_53_53 = all_0_57_57) & ~ (all_0_53_53 = e4) & ~ (all_0_53_53 = e0) & ~ (all_0_54_54 = all_0_55_55) & ~ (all_0_54_54 = all_0_58_58) & ~ (all_0_54_54 = e3) & ~ (all_0_54_54 = e1) & ~ (all_0_54_54 = e0) & ~ (all_0_55_55 = all_0_60_60) & ~ (all_0_55_55 = e0) & ~ (all_0_56_56 = all_0_57_57) & ~ (all_0_56_56 = all_0_58_58) & ~ (all_0_56_56 = all_0_59_59) & ~ (all_0_56_56 = all_0_60_60) & ~ (all_0_57_57 = all_0_58_58) & ~ (all_0_57_57 = all_0_59_59) & ~ (all_0_57_57 = all_0_60_60) & ~ (all_0_57_57 = e4) & ~ (all_0_58_58 = all_0_59_59) & ~ (all_0_58_58 = all_0_60_60) & ~ (all_0_58_58 = e3) & ~ (all_0_58_58 = e1) & ~ (all_0_59_59 = all_0_60_60) & ~ (all_0_59_59 = e0) & ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(all_0_40_40, e4) = all_0_0_0 & op(all_0_41_41, e4) = all_0_1_1 & op(all_0_41_41, e3) = all_0_2_2 & op(all_0_42_42, e4) = all_0_3_3 & op(all_0_42_42, e2) = all_0_4_4 & op(all_0_43_43, e4) = all_0_5_5 & op(all_0_43_43, e1) = all_0_6_6 & op(all_0_44_44, e4) = all_0_7_7 & op(all_0_44_44, e0) = all_0_8_8 & op(all_0_45_45, e4) = all_0_10_10 & op(all_0_45_45, e3) = all_0_9_9 & op(all_0_46_46, e3) = all_0_11_11 & op(all_0_46_46, e1) = all_0_12_12 & op(all_0_47_47, e3) = all_0_13_13 & op(all_0_47_47, e0) = all_0_14_14 & op(all_0_48_48, e4) = all_0_16_16 & op(all_0_48_48, e2) = all_0_15_15 & op(all_0_49_49, e3) = all_0_18_18 & op(all_0_49_49, e2) = all_0_17_17 & op(all_0_50_50, e2) = all_0_19_19 & op(all_0_50_50, e1) = all_0_20_20 & op(all_0_51_51, e2) = all_0_21_21 & op(all_0_51_51, e0) = all_0_22_22 & op(all_0_52_52, e4) = all_0_24_24 & op(all_0_52_52, e1) = all_0_23_23 & op(all_0_53_53, e3) = all_0_26_26 & op(all_0_53_53, e1) = all_0_25_25 & op(all_0_54_54, e2) = all_0_28_28 & op(all_0_54_54, e1) = all_0_27_27 & op(all_0_55_55, e1) = all_0_29_29 & op(all_0_55_55, e0) = all_0_30_30 & op(all_0_56_56, e4) = all_0_32_32 & op(all_0_56_56, e0) = all_0_31_31 & op(all_0_57_57, e3) = all_0_34_34 & op(all_0_57_57, e0) = all_0_33_33 & op(all_0_58_58, e2) = all_0_36_36 & op(all_0_58_58, e0) = all_0_35_35 & op(all_0_59_59, e1) = all_0_38_38 & op(all_0_59_59, e0) = all_0_37_37 & op(all_0_60_60, e0) = all_0_39_39 & op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e4, e4) = all_0_40_40 & op(e4, e3) = all_0_41_41 & op(e4, e2) = all_0_42_42 & op(e4, e1) = all_0_43_43 & op(e4, e0) = all_0_44_44 & op(e3, unit) = e3 & op(e3, e4) = all_0_45_45 & op(e3, e3) = e4 & op(e3, e2) = e1 & op(e3, e1) = all_0_46_46 & op(e3, e0) = all_0_47_47 & op(e2, unit) = e2 & op(e2, e4) = all_0_48_48 & op(e2, e3) = all_0_49_49 & op(e2, e2) = e3 & op(e2, e1) = all_0_50_50 & op(e2, e0) = all_0_51_51 & op(e1, unit) = e1 & op(e1, e4) = all_0_52_52 & op(e1, e3) = all_0_53_53 & op(e1, e2) = all_0_54_54 & op(e1, e1) = e0 & op(e1, e0) = all_0_55_55 & op(e0, unit) = e0 & op(e0, e4) = all_0_56_56 & op(e0, e3) = all_0_57_57 & op(e0, e2) = all_0_58_58 & op(e0, e1) = all_0_59_59 & op(e0, e0) = all_0_60_60 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) & (all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e2 | all_0_40_40 = e1 | all_0_40_40 = e0) & (all_0_40_40 = e4 | all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4) & (all_0_40_40 = e4 | all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4) & (all_0_40_40 = e3 | all_0_41_41 = e3 | all_0_43_43 = e3 | all_0_44_44 = e3) & (all_0_40_40 = e3 | all_0_45_45 = e3 | all_0_52_52 = e3 | all_0_56_56 = e3) & (all_0_40_40 = e2 | all_0_41_41 = e2 | all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2) & (all_0_40_40 = e2 | all_0_45_45 = e2 | all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2) & (all_0_40_40 = e1 | all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1) & (all_0_40_40 = e1 | all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1) & (all_0_40_40 = e0 | all_0_41_41 = e0 | all_0_42_42 = e0 | all_0_44_44 = e0) & (all_0_40_40 = e0 | all_0_45_45 = e0 | all_0_48_48 = e0 | all_0_56_56 = e0) & (all_0_41_41 = e3 | all_0_41_41 = e2 | all_0_41_41 = e1 | all_0_41_41 = e0) & (all_0_41_41 = e3 | all_0_53_53 = e3 | all_0_57_57 = e3) & (all_0_41_41 = e2 | all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_57_57 = e2) & (all_0_41_41 = e1 | all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1) & (all_0_41_41 = e0 | all_0_49_49 = e0 | all_0_57_57 = e0) & (all_0_42_42 = e4 | all_0_42_42 = e2 | all_0_42_42 = e0) & (all_0_42_42 = e4 | all_0_54_54 = e4 | all_0_58_58 = e4) & (all_0_42_42 = e2 | all_0_54_54 = e2 | all_0_58_58 = e2) & (all_0_42_42 = e0 | all_0_58_58 = e0) & (all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e2 | all_0_43_43 = e1) & (all_0_43_43 = e4 | all_0_50_50 = e4 | all_0_59_59 = e4) & (all_0_43_43 = e3 | all_0_46_46 = e3 | all_0_59_59 = e3) & (all_0_43_43 = e2 | all_0_46_46 = e2 | all_0_50_50 = e2 | all_0_59_59 = e2) & (all_0_43_43 = e1 | all_0_50_50 = e1 | all_0_59_59 = e1) & (all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e2 | all_0_44_44 = e1 | all_0_44_44 = e0) & (all_0_44_44 = e4 | all_0_51_51 = e4 | all_0_55_55 = e4 | all_0_60_60 = e4) & (all_0_44_44 = e3 | all_0_47_47 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3) & (all_0_44_44 = e2 | all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2) & (all_0_44_44 = e1 | all_0_51_51 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1) & (all_0_44_44 = e0 | all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_60_60 = e0) & (all_0_45_45 = e3 | all_0_45_45 = e2 | all_0_45_45 = e0) & (all_0_45_45 = e3 | all_0_46_46 = e3 | all_0_47_47 = e3) & (all_0_45_45 = e2 | all_0_46_46 = e2 | all_0_47_47 = e2) & (all_0_45_45 = e0 | all_0_47_47 = e0) & (all_0_46_46 = e3 | all_0_46_46 = e2) & (all_0_47_47 = e3 | all_0_47_47 = e2 | all_0_47_47 = e0) & (all_0_48_48 = e4 | all_0_48_48 = e2 | all_0_48_48 = e1 | all_0_48_48 = e0) & (all_0_48_48 = e4 | all_0_50_50 = e4 | all_0_51_51 = e4) & (all_0_48_48 = e2 | all_0_49_49 = e2 | all_0_50_50 = e2 | all_0_51_51 = e2) & (all_0_48_48 = e1 | all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1) & (all_0_48_48 = e0 | all_0_49_49 = e0 | all_0_51_51 = e0) & (all_0_49_49 = e2 | all_0_49_49 = e1 | all_0_49_49 = e0) & (all_0_50_50 = e4 | all_0_50_50 = e2 | all_0_50_50 = e1) & (all_0_51_51 = e4 | all_0_51_51 = e2 | all_0_51_51 = e1 | all_0_51_51 = e0) & (all_0_52_52 = e4 | all_0_52_52 = e3 | all_0_52_52 = e2 | all_0_52_52 = e1) & (all_0_52_52 = e4 | all_0_54_54 = e4 | all_0_55_55 = e4) & (all_0_52_52 = e3 | all_0_53_53 = e3 | all_0_55_55 = e3) & (all_0_52_52 = e2 | all_0_53_53 = e2 | all_0_54_54 = e2 | all_0_55_55 = e2) & (all_0_52_52 = e1 | all_0_53_53 = e1 | all_0_55_55 = e1) & (all_0_53_53 = e3 | all_0_53_53 = e2 | all_0_53_53 = e1) & (all_0_54_54 = e4 | all_0_54_54 = e2) & (all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e2 | all_0_55_55 = e1) & (all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e2 | all_0_56_56 = e1 | all_0_56_56 = e0) & (all_0_56_56 = e4 | all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4) & (all_0_56_56 = e3 | all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3) & (all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2) & (all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1) & (all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 | all_0_60_60 = e0) & (all_0_57_57 = e3 | all_0_57_57 = e2 | all_0_57_57 = e1 | all_0_57_57 = e0) & (all_0_58_58 = e4 | all_0_58_58 = e2 | all_0_58_58 = e0) & (all_0_59_59 = e4 | all_0_59_59 = e3 | all_0_59_59 = e2 | all_0_59_59 = e1) & (all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e2 | all_0_60_60 = e1 | all_0_60_60 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0) & ((all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_38_38 = e0 & ~ (all_0_37_37 = e1) & ~ (all_0_55_55 = all_0_59_59))) & ((all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) | ( ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))))) % 29.31/8.13 | % 29.31/8.13 | Applying alpha-rule on (1) yields: % 29.31/8.13 | (2) ~ (all_0_48_48 = all_0_56_56) % 29.31/8.13 | (3) ~ (all_0_54_54 = all_0_58_58) % 29.31/8.13 | (4) ~ (e4 = e0) % 29.31/8.13 | (5) op(e0, e3) = all_0_57_57 % 29.31/8.13 | (6) all_0_52_52 = e4 | all_0_54_54 = e4 | all_0_55_55 = e4 % 29.31/8.13 | (7) ~ (all_0_49_49 = all_0_53_53) % 29.31/8.13 | (8) ~ (all_0_40_40 = all_0_43_43) % 29.31/8.13 | (9) ~ (all_0_58_58 = all_0_60_60) % 29.31/8.13 | (10) op(all_0_58_58, e2) = all_0_36_36 % 29.31/8.13 | (11) ~ (all_0_41_41 = all_0_57_57) % 29.31/8.13 | (12) op(e1, e1) = e0 % 29.31/8.13 | (13) ~ (all_0_51_51 = all_0_55_55) % 29.31/8.13 | (14) ~ (all_0_53_53 = all_0_54_54) % 29.31/8.13 | (15) ~ (all_0_50_50 = e3) % 29.31/8.13 | (16) op(all_0_59_59, e0) = all_0_37_37 % 29.31/8.13 | (17) op(unit, e4) = e4 % 29.31/8.13 | (18) op(all_0_51_51, e0) = all_0_22_22 % 29.31/8.13 | (19) op(e4, e1) = all_0_43_43 % 29.31/8.13 | (20) all_0_42_42 = e2 | all_0_54_54 = e2 | all_0_58_58 = e2 % 29.31/8.13 | (21) all_0_40_40 = e4 | all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 29.31/8.13 | (22) op(e3, e3) = e4 % 29.31/8.14 | (23) ~ (all_0_58_58 = all_0_59_59) % 29.31/8.14 | (24) all_0_52_52 = e4 | all_0_52_52 = e3 | all_0_52_52 = e2 | all_0_52_52 = e1 % 29.31/8.14 | (25) ~ (all_0_42_42 = e1) % 29.31/8.14 | (26) op(all_0_41_41, e3) = all_0_2_2 % 29.31/8.14 | (27) all_0_44_44 = e1 | all_0_51_51 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1 % 29.31/8.14 | (28) op(all_0_54_54, e2) = all_0_28_28 % 29.31/8.14 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 29.31/8.14 | (30) ~ (e4 = e3) % 29.31/8.14 | (31) ~ (all_0_58_58 = e1) % 29.31/8.14 | (32) ~ (all_0_51_51 = e3) % 29.31/8.14 | (33) op(all_0_59_59, e1) = all_0_38_38 % 29.31/8.14 | (34) ~ (all_0_48_48 = e3) % 29.31/8.14 | (35) op(all_0_57_57, e3) = all_0_34_34 % 29.31/8.14 | (36) all_0_45_45 = e2 | all_0_46_46 = e2 | all_0_47_47 = e2 % 29.31/8.14 | (37) ~ (all_0_49_49 = all_0_50_50) % 29.31/8.14 | (38) op(unit, e1) = e1 % 29.31/8.14 | (39) ~ (all_0_47_47 = all_0_55_55) % 29.31/8.14 | (40) ~ (all_0_46_46 = all_0_50_50) % 29.31/8.14 | (41) all_0_40_40 = e0 | all_0_45_45 = e0 | all_0_48_48 = e0 | all_0_56_56 = e0 % 29.31/8.14 | (42) ~ (all_0_56_56 = all_0_59_59) % 29.31/8.14 | (43) ~ (all_0_41_41 = all_0_43_43) % 29.31/8.14 | (44) all_0_40_40 = e1 | all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 29.31/8.14 | (45) op(all_0_52_52, e4) = all_0_24_24 % 29.31/8.14 | (46) op(all_0_58_58, e0) = all_0_35_35 % 29.31/8.14 | (47) ~ (all_0_47_47 = all_0_60_60) % 29.31/8.14 | (48) ~ (all_0_48_48 = all_0_50_50) % 29.31/8.14 | (49) op(all_0_45_45, e3) = all_0_9_9 % 29.31/8.14 | (50) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 | all_0_60_60 = e0 % 29.31/8.14 | (51) ~ (e2 = e0) % 29.31/8.14 | (52) ~ (all_0_44_44 = all_0_47_47) % 29.31/8.14 | (53) ~ (all_0_40_40 = all_0_48_48) % 29.31/8.14 | (54) op(all_0_53_53, e1) = all_0_25_25 % 29.31/8.14 | (55) ~ (all_0_41_41 = all_0_42_42) % 29.31/8.14 | (56) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) | ( ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)))) % 29.31/8.14 | (57) ~ (all_0_40_40 = all_0_56_56) % 29.31/8.14 | (58) ~ (all_0_48_48 = all_0_49_49) % 29.31/8.14 | (59) ~ (all_0_44_44 = all_0_55_55) % 29.31/8.14 | (60) ~ (all_0_42_42 = all_0_58_58) % 29.31/8.14 | (61) all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 29.31/8.14 | (62) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0 % 29.31/8.14 | (63) all_0_40_40 = e0 | all_0_41_41 = e0 | all_0_42_42 = e0 | all_0_44_44 = e0 % 29.31/8.14 | (64) all_0_52_52 = e3 | all_0_53_53 = e3 | all_0_55_55 = e3 % 29.31/8.14 | (65) op(all_0_49_49, e3) = all_0_18_18 % 29.31/8.14 | (66) op(e2, e0) = all_0_51_51 % 29.31/8.14 | (67) all_0_48_48 = e0 | all_0_49_49 = e0 | all_0_51_51 = e0 % 29.31/8.14 | (68) op(all_0_47_47, e3) = all_0_13_13 % 29.31/8.15 | (69) ~ (all_0_42_42 = all_0_44_44) % 29.31/8.15 | (70) ~ (e3 = e0) % 29.31/8.15 | (71) ~ (all_0_56_56 = all_0_58_58) % 29.31/8.15 | (72) op(e3, e4) = all_0_45_45 % 29.31/8.15 | (73) ~ (all_0_54_54 = all_0_55_55) % 29.31/8.15 | (74) op(e2, unit) = e2 % 29.31/8.15 | (75) op(all_0_47_47, e0) = all_0_14_14 % 29.31/8.15 | (76) all_0_45_45 = e3 | all_0_45_45 = e2 | all_0_45_45 = e0 % 29.31/8.15 | (77) ~ (all_0_52_52 = all_0_53_53) % 29.31/8.15 | (78) ~ (all_0_52_52 = e0) % 29.31/8.15 | (79) ~ (all_0_54_54 = e1) % 29.31/8.15 | (80) op(all_0_42_42, e4) = all_0_3_3 % 29.31/8.15 | (81) ~ (all_0_57_57 = all_0_60_60) % 29.31/8.15 | (82) ~ (all_0_43_43 = all_0_44_44) % 29.31/8.15 | (83) op(e2, e2) = e3 % 29.31/8.15 | (84) all_0_44_44 = e0 | all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_60_60 = e0 % 29.31/8.15 | (85) all_0_52_52 = e1 | all_0_53_53 = e1 | all_0_55_55 = e1 % 29.31/8.15 | (86) op(e3, e1) = all_0_46_46 % 29.31/8.15 | (87) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e2 | all_0_44_44 = e1 | all_0_44_44 = e0 % 29.31/8.15 | (88) all_0_50_50 = e4 | all_0_50_50 = e2 | all_0_50_50 = e1 % 29.31/8.15 | (89) op(all_0_43_43, e4) = all_0_5_5 % 29.31/8.15 | (90) op(e0, e1) = all_0_59_59 % 29.31/8.15 | (91) all_0_52_52 = e2 | all_0_53_53 = e2 | all_0_54_54 = e2 | all_0_55_55 = e2 % 29.31/8.15 | (92) ~ (all_0_52_52 = all_0_54_54) % 29.31/8.15 | (93) ~ (all_0_55_55 = e0) % 29.31/8.15 | (94) op(e2, e3) = all_0_49_49 % 29.31/8.15 | (95) ~ (all_0_51_51 = all_0_60_60) % 29.31/8.15 | (96) all_0_40_40 = e2 | all_0_45_45 = e2 | all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 29.31/8.15 | (97) all_0_48_48 = e2 | all_0_49_49 = e2 | all_0_50_50 = e2 | all_0_51_51 = e2 % 29.31/8.15 | (98) op(e3, unit) = e3 % 29.31/8.15 | (99) op(all_0_43_43, e1) = all_0_6_6 % 29.31/8.15 | (100) all_0_43_43 = e1 | all_0_50_50 = e1 | all_0_59_59 = e1 % 29.31/8.15 | (101) all_0_45_45 = e3 | all_0_46_46 = e3 | all_0_47_47 = e3 % 29.31/8.15 | (102) op(all_0_45_45, e4) = all_0_10_10 % 29.31/8.15 | (103) op(all_0_48_48, e2) = all_0_15_15 % 29.31/8.15 | (104) all_0_41_41 = e2 | all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_57_57 = e2 % 29.31/8.15 | (105) op(e2, e4) = all_0_48_48 % 29.31/8.15 | (106) ~ (all_0_45_45 = all_0_46_46) % 29.31/8.15 | (107) op(e4, e0) = all_0_44_44 % 29.31/8.15 | (108) ~ (all_0_48_48 = all_0_52_52) % 29.31/8.15 | (109) op(all_0_46_46, e3) = all_0_11_11 % 29.31/8.15 | (110) op(all_0_50_50, e1) = all_0_20_20 % 29.31/8.15 | (111) op(e0, unit) = e0 % 29.31/8.15 | (112) all_0_44_44 = e2 | all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 29.31/8.15 | (113) op(all_0_49_49, e2) = all_0_17_17 % 29.31/8.15 | (114) all_0_49_49 = e2 | all_0_49_49 = e1 | all_0_49_49 = e0 % 29.31/8.15 | (115) ~ (all_0_40_40 = all_0_42_42) % 29.31/8.15 | (116) ~ (all_0_54_54 = e0) % 29.31/8.15 | (117) ~ (all_0_43_43 = e0) % 29.31/8.15 | (118) ~ (all_0_45_45 = all_0_47_47) % 29.31/8.15 | (119) ~ (all_0_42_42 = all_0_43_43) % 29.31/8.15 | (120) ~ (all_0_40_40 = all_0_45_45) % 29.31/8.15 | (121) ~ (all_0_41_41 = all_0_53_53) % 29.31/8.15 | (122) op(all_0_51_51, e2) = all_0_21_21 % 29.31/8.15 | (123) op(all_0_46_46, e1) = all_0_12_12 % 29.31/8.15 | (124) ~ (all_0_40_40 = all_0_44_44) % 29.31/8.15 | (125) op(all_0_56_56, e0) = all_0_31_31 % 29.31/8.15 | (126) ~ (all_0_50_50 = all_0_59_59) % 29.31/8.15 | (127) ~ (all_0_48_48 = all_0_51_51) % 29.31/8.15 | (128) op(all_0_44_44, e0) = all_0_8_8 % 29.31/8.15 | (129) op(all_0_50_50, e2) = all_0_19_19 % 29.31/8.15 | (130) op(e4, unit) = e4 % 29.31/8.15 | (131) ~ (all_0_53_53 = all_0_55_55) % 29.31/8.15 | (132) op(e0, e4) = all_0_56_56 % 29.31/8.15 | (133) all_0_47_47 = e3 | all_0_47_47 = e2 | all_0_47_47 = e0 % 29.31/8.15 | (134) ~ (e1 = e0) % 29.31/8.15 | (135) op(e0, e2) = all_0_58_58 % 29.31/8.16 | (136) ~ (e3 = e1) % 29.31/8.16 | (137) all_0_43_43 = e3 | all_0_46_46 = e3 | all_0_59_59 = e3 % 29.31/8.16 | (138) all_0_46_46 = e3 | all_0_46_46 = e2 % 29.31/8.16 | (139) all_0_43_43 = e4 | all_0_50_50 = e4 | all_0_59_59 = e4 % 29.31/8.16 | (140) ~ (all_0_53_53 = e0) % 29.31/8.16 | (141) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e2 | all_0_56_56 = e1 | all_0_56_56 = e0 % 29.31/8.16 | (142) ~ (all_0_47_47 = all_0_51_51) % 29.31/8.16 | (143) ~ (all_0_46_46 = all_0_59_59) % 29.31/8.16 | (144) ~ (e2 = e1) % 29.31/8.16 | (145) all_0_40_40 = e3 | all_0_45_45 = e3 | all_0_52_52 = e3 | all_0_56_56 = e3 % 29.31/8.16 | (146) ~ (all_0_43_43 = all_0_46_46) % 29.31/8.16 | (147) op(unit, e2) = e2 % 29.31/8.16 | (148) op(e4, e2) = all_0_42_42 % 29.31/8.16 | (149) ~ (all_0_52_52 = all_0_56_56) % 29.31/8.16 | (150) all_0_41_41 = e0 | all_0_49_49 = e0 | all_0_57_57 = e0 % 29.31/8.16 | (151) ~ (all_0_40_40 = all_0_41_41) % 29.31/8.16 | (152) op(e1, e4) = all_0_52_52 % 29.31/8.16 | (153) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e2 | all_0_55_55 = e1 % 29.31/8.16 | (154) ~ (all_0_42_42 = all_0_54_54) % 29.31/8.16 | (155) op(all_0_55_55, e1) = all_0_29_29 % 29.31/8.16 | (156) op(all_0_52_52, e1) = all_0_23_23 % 29.31/8.16 | (157) all_0_40_40 = e2 | all_0_41_41 = e2 | all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 29.31/8.16 | (158) op(all_0_40_40, e4) = all_0_0_0 % 29.31/8.16 | (159) ~ (all_0_55_55 = all_0_60_60) % 29.31/8.16 | (160) ~ (all_0_49_49 = all_0_51_51) % 29.31/8.16 | (161) ~ (all_0_44_44 = all_0_51_51) % 29.31/8.16 | (162) ~ (all_0_45_45 = all_0_52_52) % 29.31/8.16 | (163) all_0_42_42 = e0 | all_0_58_58 = e0 % 29.31/8.16 | (164) ~ (all_0_59_59 = all_0_60_60) % 29.31/8.16 | (165) ~ (all_0_44_44 = all_0_60_60) % 29.31/8.16 | (166) all_0_51_51 = e4 | all_0_51_51 = e2 | all_0_51_51 = e1 | all_0_51_51 = e0 % 29.31/8.16 | (167) op(e4, e3) = all_0_41_41 % 29.31/8.16 | (168) op(e4, e4) = all_0_40_40 % 29.31/8.16 | (169) ~ (all_0_52_52 = all_0_55_55) % 29.31/8.16 | (170) op(e0, e0) = all_0_60_60 % 29.31/8.16 | (171) ~ (all_0_50_50 = all_0_51_51) % 29.31/8.16 | (172) ~ (all_0_56_56 = all_0_57_57) % 29.31/8.16 | (173) ~ (all_0_46_46 = all_0_47_47) % 29.31/8.16 | (174) ~ (all_0_56_56 = all_0_60_60) % 29.31/8.16 | (175) all_0_40_40 = e1 | all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 29.31/8.16 | (176) ~ (all_0_41_41 = all_0_44_44) % 29.31/8.16 | (177) ~ (all_0_41_41 = all_0_49_49) % 29.31/8.16 | (178) ~ (all_0_57_57 = all_0_58_58) % 29.31/8.16 | (179) op(all_0_42_42, e2) = all_0_4_4 % 29.31/8.16 | (180) all_0_41_41 = e3 | all_0_41_41 = e2 | all_0_41_41 = e1 | all_0_41_41 = e0 % 29.31/8.16 | (181) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_38_38 = e0 & ~ (all_0_37_37 = e1) & ~ (all_0_55_55 = all_0_59_59)) % 29.31/8.16 | (182) ~ (all_0_45_45 = all_0_56_56) % 29.31/8.17 | (183) all_0_45_45 = e0 | all_0_47_47 = e0 % 29.31/8.17 | (184) ~ (all_0_45_45 = e1) % 29.31/8.17 | (185) op(all_0_56_56, e4) = all_0_32_32 % 29.31/8.17 | (186) op(e2, e1) = all_0_50_50 % 29.31/8.17 | (187) op(all_0_48_48, e4) = all_0_16_16 % 29.31/8.17 | (188) ~ (all_0_40_40 = all_0_52_52) % 29.31/8.17 | (189) op(unit, e0) = e0 % 29.31/8.17 | (190) op(e1, unit) = e1 % 29.31/8.17 | (191) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e2 | all_0_43_43 = e1 % 29.31/8.17 | (192) ~ (all_0_41_41 = e4) % 29.31/8.17 | (193) ~ (all_0_47_47 = e1) % 29.31/8.17 | (194) ~ (all_0_46_46 = e0) % 29.31/8.17 | (195) all_0_44_44 = e3 | all_0_47_47 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 29.31/8.17 | (196) all_0_40_40 = e4 | all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 29.31/8.17 | (197) all_0_42_42 = e4 | all_0_54_54 = e4 | all_0_58_58 = e4 % 29.31/8.17 | (198) ~ (all_0_47_47 = e4) % 29.31/8.17 | (199) all_0_54_54 = e4 | all_0_54_54 = e2 % 29.31/8.17 | (200) all_0_40_40 = e3 | all_0_41_41 = e3 | all_0_43_43 = e3 | all_0_44_44 = e3 % 29.31/8.17 | (201) ~ (all_0_46_46 = e1) % 29.31/8.17 | (202) ~ (all_0_57_57 = e4) % 29.31/8.17 | (203) ~ (all_0_58_58 = e3) % 29.31/8.17 | (204) op(e3, e0) = all_0_47_47 % 29.31/8.17 | (205) op(all_0_57_57, e0) = all_0_33_33 % 29.31/8.17 | (206) op(all_0_54_54, e1) = all_0_27_27 % 29.31/8.17 | (207) ~ (all_0_50_50 = e0) % 29.31/8.17 | (208) op(e1, e2) = all_0_54_54 % 29.31/8.17 | (209) all_0_56_56 = e3 | all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 29.31/8.17 | (210) all_0_43_43 = e2 | all_0_46_46 = e2 | all_0_50_50 = e2 | all_0_59_59 = e2 % 29.31/8.17 | (211) op(all_0_41_41, e4) = all_0_1_1 % 29.31/8.17 | (212) all_0_48_48 = e4 | all_0_48_48 = e2 | all_0_48_48 = e1 | all_0_48_48 = e0 % 29.31/8.17 | (213) all_0_53_53 = e3 | all_0_53_53 = e2 | all_0_53_53 = e1 % 29.31/8.17 | (214) ~ (all_0_45_45 = all_0_48_48) % 29.31/8.17 | (215) ~ (all_0_49_49 = e4) % 29.31/8.17 | (216) ~ (all_0_59_59 = e0) % 29.31/8.17 | (217) ~ (all_0_45_45 = e4) % 29.31/8.17 | (218) ~ (all_0_49_49 = e3) % 29.31/8.17 | (219) op(all_0_55_55, e0) = all_0_30_30 % 29.31/8.17 | (220) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e2 | all_0_60_60 = e1 | all_0_60_60 = e0 % 29.31/8.17 | (221) all_0_41_41 = e1 | all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 29.31/8.17 | (222) ~ (all_0_57_57 = all_0_59_59) % 29.31/8.17 | (223) ~ (e3 = e2) % 29.31/8.17 | (224) op(e1, e3) = all_0_53_53 % 29.31/8.17 | (225) ~ (all_0_42_42 = e3) % 29.31/8.17 | (226) ~ (all_0_49_49 = all_0_57_57) % 29.31/8.17 | (227) all_0_59_59 = e4 | all_0_59_59 = e3 | all_0_59_59 = e2 | all_0_59_59 = e1 % 29.31/8.17 | (228) all_0_48_48 = e1 | all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 29.31/8.17 | (229) ~ (all_0_53_53 = e4) % 29.31/8.17 | (230) all_0_42_42 = e4 | all_0_42_42 = e2 | all_0_42_42 = e0 % 29.31/8.17 | (231) ~ (e4 = e2) % 29.31/8.17 | (232) op(unit, e3) = e3 % 29.31/8.17 | (233) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e2 | all_0_40_40 = e1 | all_0_40_40 = e0 % 29.31/8.18 | (234) all_0_48_48 = e4 | all_0_50_50 = e4 | all_0_51_51 = e4 % 29.31/8.18 | (235) op(all_0_44_44, e4) = all_0_7_7 % 29.31/8.18 | (236) op(all_0_60_60, e0) = all_0_39_39 % 29.31/8.18 | (237) all_0_41_41 = e3 | all_0_53_53 = e3 | all_0_57_57 = e3 % 29.31/8.18 | (238) ~ (all_0_43_43 = all_0_50_50) % 29.31/8.18 | (239) ~ (all_0_46_46 = e4) % 29.31/8.18 | (240) op(e1, e0) = all_0_55_55 % 29.31/8.18 | (241) all_0_44_44 = e4 | all_0_51_51 = e4 | all_0_55_55 = e4 | all_0_60_60 = e4 % 29.31/8.18 | (242) op(all_0_53_53, e3) = all_0_26_26 % 29.31/8.18 | (243) all_0_56_56 = e4 | all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 29.31/8.18 | (244) all_0_58_58 = e4 | all_0_58_58 = e2 | all_0_58_58 = e0 % 29.31/8.18 | (245) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 29.31/8.18 | (246) ~ (all_0_54_54 = e3) % 29.31/8.18 | (247) ~ (e4 = e1) % 29.31/8.18 | (248) op(e3, e2) = e1 % 29.74/8.18 | (249) ~ (all_0_43_43 = all_0_59_59) % 29.74/8.18 | (250) all_0_57_57 = e3 | all_0_57_57 = e2 | all_0_57_57 = e1 | all_0_57_57 = e0 % 29.74/8.18 | (251) ~ (all_0_53_53 = all_0_57_57) % 29.74/8.18 | % 29.74/8.18 +-Applying beta-rule and splitting (138), into two cases. % 29.74/8.18 |-Branch one: % 29.74/8.18 | (252) all_0_46_46 = e2 % 29.74/8.18 | % 29.74/8.18 | Equations (252) can reduce 146 to: % 29.74/8.18 | (253) ~ (all_0_43_43 = e2) % 29.74/8.18 | % 29.74/8.18 | Equations (252) can reduce 106 to: % 29.74/8.18 | (254) ~ (all_0_45_45 = e2) % 29.74/8.18 | % 29.74/8.18 | Equations (252) can reduce 173 to: % 29.74/8.18 | (255) ~ (all_0_47_47 = e2) % 29.74/8.18 | % 29.74/8.18 | Simplifying 255 yields: % 29.74/8.18 | (256) ~ (all_0_47_47 = e2) % 29.74/8.18 | % 29.74/8.18 | Equations (252) can reduce 40 to: % 29.74/8.18 | (257) ~ (all_0_50_50 = e2) % 29.74/8.18 | % 29.74/8.18 | Simplifying 257 yields: % 29.74/8.18 | (258) ~ (all_0_50_50 = e2) % 29.74/8.18 | % 29.74/8.18 | Equations (252) can reduce 143 to: % 29.74/8.18 | (259) ~ (all_0_59_59 = e2) % 29.74/8.18 | % 29.74/8.18 | Simplifying 259 yields: % 29.74/8.18 | (260) ~ (all_0_59_59 = e2) % 29.74/8.18 | % 29.74/8.18 | Equations (252) can reduce 239 to: % 29.74/8.18 | (261) ~ (e4 = e2) % 29.74/8.18 | % 29.74/8.18 | Simplifying 261 yields: % 29.74/8.18 | (231) ~ (e4 = e2) % 29.74/8.18 | % 29.74/8.18 | Equations (252) can reduce 194 to: % 29.74/8.18 | (51) ~ (e2 = e0) % 29.74/8.18 | % 29.74/8.18 | From (252) and (109) follows: % 29.74/8.18 | (264) op(e2, e3) = all_0_11_11 % 29.74/8.19 | % 29.74/8.19 | From (252) and (123) follows: % 29.74/8.19 | (265) op(e2, e1) = all_0_12_12 % 29.74/8.19 | % 29.74/8.19 | From (252) and (86) follows: % 29.74/8.19 | (266) op(e3, e1) = e2 % 29.74/8.19 | % 29.74/8.19 | Instantiating formula (29) with e2, e3, all_0_11_11, all_0_49_49 and discharging atoms op(e2, e3) = all_0_11_11, op(e2, e3) = all_0_49_49, yields: % 29.74/8.19 | (267) all_0_11_11 = all_0_49_49 % 29.74/8.19 | % 29.74/8.19 | Instantiating formula (29) with e2, e1, all_0_12_12, all_0_50_50 and discharging atoms op(e2, e1) = all_0_12_12, op(e2, e1) = all_0_50_50, yields: % 29.74/8.19 | (268) all_0_12_12 = all_0_50_50 % 29.74/8.19 | % 29.74/8.19 | From (267) and (264) follows: % 29.74/8.19 | (94) op(e2, e3) = all_0_49_49 % 29.74/8.19 | % 29.74/8.19 | From (268) and (265) follows: % 29.74/8.19 | (186) op(e2, e1) = all_0_50_50 % 29.74/8.19 | % 29.74/8.19 +-Applying beta-rule and splitting (199), into two cases. % 29.74/8.19 |-Branch one: % 29.74/8.19 | (271) all_0_54_54 = e2 % 29.74/8.19 | % 29.74/8.19 | Equations (271) can reduce 154 to: % 29.74/8.19 | (272) ~ (all_0_42_42 = e2) % 29.74/8.19 | % 29.74/8.19 | Equations (271) can reduce 92 to: % 29.74/8.19 | (273) ~ (all_0_52_52 = e2) % 29.74/8.19 | % 29.74/8.19 | Equations (271) can reduce 14 to: % 29.74/8.19 | (274) ~ (all_0_53_53 = e2) % 29.74/8.19 | % 29.74/8.19 | Equations (271) can reduce 73 to: % 29.74/8.19 | (275) ~ (all_0_55_55 = e2) % 29.74/8.19 | % 29.74/8.19 | Simplifying 275 yields: % 29.74/8.19 | (276) ~ (all_0_55_55 = e2) % 29.74/8.19 | % 29.74/8.19 | Equations (271) can reduce 3 to: % 29.74/8.19 | (277) ~ (all_0_58_58 = e2) % 29.74/8.19 | % 29.74/8.19 | Simplifying 277 yields: % 29.74/8.19 | (278) ~ (all_0_58_58 = e2) % 29.74/8.19 | % 29.74/8.19 | Equations (271) can reduce 79 to: % 29.74/8.19 | (144) ~ (e2 = e1) % 29.74/8.19 | % 29.74/8.19 | From (271) and (28) follows: % 29.74/8.19 | (280) op(e2, e2) = all_0_28_28 % 29.74/8.19 | % 29.74/8.19 | From (271) and (206) follows: % 29.74/8.19 | (281) op(e2, e1) = all_0_27_27 % 29.74/8.19 | % 29.74/8.19 | From (271) and (208) follows: % 29.74/8.19 | (282) op(e1, e2) = e2 % 29.74/8.19 | % 29.74/8.19 | Instantiating formula (29) with e2, e2, all_0_28_28, e3 and discharging atoms op(e2, e2) = all_0_28_28, op(e2, e2) = e3, yields: % 29.74/8.19 | (283) all_0_28_28 = e3 % 29.74/8.19 | % 29.74/8.19 | Instantiating formula (29) with e2, e1, all_0_27_27, all_0_50_50 and discharging atoms op(e2, e1) = all_0_27_27, op(e2, e1) = all_0_50_50, yields: % 29.74/8.19 | (284) all_0_27_27 = all_0_50_50 % 29.74/8.19 | % 29.74/8.19 | From (283) and (280) follows: % 29.74/8.19 | (83) op(e2, e2) = e3 % 29.74/8.19 | % 29.74/8.19 | From (284) and (281) follows: % 29.74/8.19 | (186) op(e2, e1) = all_0_50_50 % 29.74/8.19 | % 29.74/8.19 +-Applying beta-rule and splitting (183), into two cases. % 29.74/8.19 |-Branch one: % 29.74/8.20 | (287) all_0_45_45 = e0 % 29.74/8.20 | % 29.74/8.20 | Equations (287) can reduce 120 to: % 29.74/8.20 | (288) ~ (all_0_40_40 = e0) % 29.74/8.20 | % 29.74/8.20 | Equations (287) can reduce 118 to: % 29.74/8.20 | (289) ~ (all_0_47_47 = e0) % 29.74/8.20 | % 29.74/8.20 | Simplifying 289 yields: % 29.74/8.20 | (290) ~ (all_0_47_47 = e0) % 29.74/8.20 | % 29.74/8.20 | Equations (287) can reduce 214 to: % 29.74/8.20 | (291) ~ (all_0_48_48 = e0) % 29.74/8.20 | % 29.74/8.20 | Simplifying 291 yields: % 29.74/8.20 | (292) ~ (all_0_48_48 = e0) % 29.74/8.20 | % 29.74/8.20 | Equations (287) can reduce 162 to: % 29.74/8.20 | (293) ~ (all_0_52_52 = e0) % 29.74/8.20 | % 29.74/8.20 | Simplifying 293 yields: % 29.74/8.20 | (78) ~ (all_0_52_52 = e0) % 29.74/8.20 | % 29.83/8.20 | Equations (287) can reduce 182 to: % 29.83/8.20 | (295) ~ (all_0_56_56 = e0) % 29.83/8.20 | % 29.83/8.20 | Simplifying 295 yields: % 29.83/8.20 | (296) ~ (all_0_56_56 = e0) % 29.83/8.20 | % 29.83/8.20 | Equations (287) can reduce 217 to: % 29.83/8.20 | (297) ~ (e4 = e0) % 29.83/8.20 | % 29.83/8.20 | Simplifying 297 yields: % 29.83/8.20 | (4) ~ (e4 = e0) % 29.83/8.20 | % 29.83/8.20 | From (287) and (102) follows: % 29.83/8.20 | (299) op(e0, e4) = all_0_10_10 % 29.83/8.20 | % 29.83/8.20 | From (287) and (49) follows: % 29.83/8.20 | (300) op(e0, e3) = all_0_9_9 % 29.83/8.20 | % 29.83/8.20 | From (287) and (72) follows: % 29.83/8.20 | (301) op(e3, e4) = e0 % 29.83/8.20 | % 29.83/8.20 +-Applying beta-rule and splitting (133), into two cases. % 29.83/8.20 |-Branch one: % 29.83/8.20 | (302) all_0_47_47 = e2 % 29.83/8.20 | % 29.83/8.20 | Equations (302) can reduce 256 to: % 29.83/8.20 | (303) $false % 29.83/8.20 | % 29.83/8.20 |-The branch is then unsatisfiable % 29.83/8.20 |-Branch two: % 29.83/8.20 | (256) ~ (all_0_47_47 = e2) % 29.83/8.20 | (305) all_0_47_47 = e3 | all_0_47_47 = e0 % 29.83/8.20 | % 29.83/8.20 +-Applying beta-rule and splitting (305), into two cases. % 29.83/8.20 |-Branch one: % 29.83/8.20 | (306) all_0_47_47 = e0 % 29.83/8.20 | % 29.83/8.20 | Equations (306) can reduce 290 to: % 29.83/8.20 | (303) $false % 29.83/8.20 | % 29.83/8.20 |-The branch is then unsatisfiable % 29.83/8.20 |-Branch two: % 29.83/8.20 | (290) ~ (all_0_47_47 = e0) % 29.83/8.20 | (309) all_0_47_47 = e3 % 29.83/8.20 | % 29.83/8.20 | Equations (309) can reduce 52 to: % 29.83/8.20 | (310) ~ (all_0_44_44 = e3) % 29.83/8.20 | % 29.83/8.21 | Equations (309) can reduce 142 to: % 29.83/8.21 | (311) ~ (all_0_51_51 = e3) % 29.83/8.21 | % 29.83/8.21 | Simplifying 311 yields: % 29.83/8.21 | (32) ~ (all_0_51_51 = e3) % 29.83/8.21 | % 29.83/8.21 | Equations (309) can reduce 39 to: % 29.83/8.21 | (313) ~ (all_0_55_55 = e3) % 29.83/8.21 | % 29.83/8.21 | Simplifying 313 yields: % 29.83/8.21 | (314) ~ (all_0_55_55 = e3) % 29.83/8.21 | % 29.83/8.21 | Equations (309) can reduce 47 to: % 29.83/8.21 | (315) ~ (all_0_60_60 = e3) % 29.83/8.21 | % 29.83/8.21 | Simplifying 315 yields: % 29.83/8.21 | (316) ~ (all_0_60_60 = e3) % 29.83/8.21 | % 29.83/8.21 | From (309) and (68) follows: % 29.83/8.21 | (317) op(e3, e3) = all_0_13_13 % 29.83/8.21 | % 29.83/8.21 | Instantiating formula (29) with e3, e3, all_0_13_13, e4 and discharging atoms op(e3, e3) = all_0_13_13, op(e3, e3) = e4, yields: % 29.83/8.21 | (318) all_0_13_13 = e4 % 29.83/8.21 | % 29.83/8.21 | Instantiating formula (29) with e0, e4, all_0_10_10, all_0_56_56 and discharging atoms op(e0, e4) = all_0_10_10, op(e0, e4) = all_0_56_56, yields: % 29.83/8.21 | (319) all_0_10_10 = all_0_56_56 % 29.83/8.21 | % 29.83/8.21 | Instantiating formula (29) with e0, e3, all_0_9_9, all_0_57_57 and discharging atoms op(e0, e3) = all_0_9_9, op(e0, e3) = all_0_57_57, yields: % 29.83/8.21 | (320) all_0_9_9 = all_0_57_57 % 29.83/8.21 | % 29.83/8.21 | From (318) and (317) follows: % 29.83/8.21 | (22) op(e3, e3) = e4 % 29.83/8.21 | % 29.83/8.21 | From (319) and (299) follows: % 29.83/8.21 | (132) op(e0, e4) = all_0_56_56 % 29.83/8.21 | % 29.83/8.21 | From (320) and (300) follows: % 29.83/8.21 | (5) op(e0, e3) = all_0_57_57 % 29.83/8.21 | % 29.83/8.21 +-Applying beta-rule and splitting (163), into two cases. % 29.83/8.21 |-Branch one: % 29.83/8.21 | (324) all_0_42_42 = e0 % 29.83/8.21 | % 29.83/8.21 | Equations (324) can reduce 115 to: % 29.83/8.21 | (288) ~ (all_0_40_40 = e0) % 29.83/8.21 | % 29.83/8.21 | Equations (324) can reduce 55 to: % 29.83/8.21 | (326) ~ (all_0_41_41 = e0) % 29.83/8.21 | % 29.83/8.21 | Equations (324) can reduce 119 to: % 29.83/8.21 | (327) ~ (all_0_43_43 = e0) % 29.83/8.21 | % 29.83/8.21 | Simplifying 327 yields: % 29.83/8.21 | (117) ~ (all_0_43_43 = e0) % 29.83/8.21 | % 29.83/8.21 | Equations (324) can reduce 69 to: % 29.83/8.21 | (329) ~ (all_0_44_44 = e0) % 29.83/8.21 | % 29.83/8.21 | Simplifying 329 yields: % 29.83/8.21 | (330) ~ (all_0_44_44 = e0) % 29.83/8.21 | % 29.83/8.21 | Equations (324) can reduce 60 to: % 29.83/8.21 | (331) ~ (all_0_58_58 = e0) % 29.83/8.21 | % 29.83/8.21 | Simplifying 331 yields: % 29.83/8.21 | (332) ~ (all_0_58_58 = e0) % 29.83/8.21 | % 29.83/8.21 | Equations (324) can reduce 225 to: % 29.83/8.21 | (333) ~ (e3 = e0) % 29.83/8.21 | % 29.83/8.21 | Simplifying 333 yields: % 29.83/8.21 | (70) ~ (e3 = e0) % 29.83/8.21 | % 29.83/8.21 | Equations (324) can reduce 272 to: % 29.83/8.21 | (335) ~ (e2 = e0) % 29.83/8.21 | % 29.83/8.21 | Simplifying 335 yields: % 29.83/8.21 | (51) ~ (e2 = e0) % 29.83/8.21 | % 29.83/8.21 | From (324) and (80) follows: % 29.83/8.21 | (337) op(e0, e4) = all_0_3_3 % 29.83/8.21 | % 29.83/8.21 | From (324) and (179) follows: % 29.83/8.21 | (338) op(e0, e2) = all_0_4_4 % 29.83/8.21 | % 29.83/8.21 | From (324) and (148) follows: % 29.83/8.21 | (339) op(e4, e2) = e0 % 29.83/8.21 | % 29.83/8.21 +-Applying beta-rule and splitting (244), into two cases. % 29.83/8.21 |-Branch one: % 29.83/8.21 | (340) all_0_58_58 = e2 % 29.83/8.21 | % 29.83/8.21 | Equations (340) can reduce 278 to: % 29.83/8.21 | (303) $false % 29.83/8.21 | % 29.83/8.21 |-The branch is then unsatisfiable % 29.83/8.21 |-Branch two: % 29.83/8.22 | (278) ~ (all_0_58_58 = e2) % 29.83/8.22 | (343) all_0_58_58 = e4 | all_0_58_58 = e0 % 29.83/8.22 | % 29.83/8.22 +-Applying beta-rule and splitting (343), into two cases. % 29.83/8.22 |-Branch one: % 29.83/8.22 | (344) all_0_58_58 = e4 % 29.83/8.22 | % 29.83/8.22 | Equations (344) can reduce 71 to: % 29.83/8.22 | (345) ~ (all_0_56_56 = e4) % 29.83/8.22 | % 29.83/8.22 | Equations (344) can reduce 178 to: % 29.83/8.22 | (202) ~ (all_0_57_57 = e4) % 29.83/8.22 | % 29.83/8.22 | Equations (344) can reduce 23 to: % 29.83/8.22 | (347) ~ (all_0_59_59 = e4) % 29.83/8.22 | % 29.83/8.22 | Simplifying 347 yields: % 29.83/8.22 | (348) ~ (all_0_59_59 = e4) % 29.83/8.22 | % 29.83/8.22 | Equations (344) can reduce 9 to: % 29.83/8.22 | (349) ~ (all_0_60_60 = e4) % 29.83/8.22 | % 29.83/8.22 | Simplifying 349 yields: % 29.83/8.22 | (350) ~ (all_0_60_60 = e4) % 29.83/8.22 | % 29.83/8.22 | Equations (344) can reduce 31 to: % 29.83/8.22 | (247) ~ (e4 = e1) % 29.83/8.22 | % 29.83/8.22 | From (344) and (10) follows: % 29.83/8.22 | (352) op(e4, e2) = all_0_36_36 % 29.83/8.22 | % 29.83/8.22 | From (344) and (135) follows: % 29.83/8.22 | (353) op(e0, e2) = e4 % 29.83/8.22 | % 29.92/8.22 | Instantiating formula (29) with e4, e2, e0, all_0_36_36 and discharging atoms op(e4, e2) = all_0_36_36, op(e4, e2) = e0, yields: % 29.92/8.22 | (354) all_0_36_36 = e0 % 29.92/8.22 | % 29.92/8.22 | Instantiating formula (29) with e0, e4, all_0_3_3, all_0_56_56 and discharging atoms op(e0, e4) = all_0_3_3, op(e0, e4) = all_0_56_56, yields: % 29.92/8.22 | (355) all_0_3_3 = all_0_56_56 % 29.92/8.22 | % 29.92/8.22 | Instantiating formula (29) with e0, e2, e4, all_0_4_4 and discharging atoms op(e0, e2) = all_0_4_4, op(e0, e2) = e4, yields: % 29.92/8.22 | (356) all_0_4_4 = e4 % 29.92/8.22 | % 29.92/8.22 | From (354) and (352) follows: % 29.92/8.22 | (339) op(e4, e2) = e0 % 29.92/8.22 | % 29.92/8.22 | From (355) and (337) follows: % 29.92/8.22 | (132) op(e0, e4) = all_0_56_56 % 29.92/8.22 | % 29.92/8.22 | From (356) and (338) follows: % 29.92/8.22 | (353) op(e0, e2) = e4 % 29.92/8.22 | % 29.92/8.22 +-Applying beta-rule and splitting (213), into two cases. % 29.92/8.22 |-Branch one: % 29.92/8.22 | (360) all_0_53_53 = e2 % 29.92/8.22 | % 29.92/8.22 | Equations (360) can reduce 274 to: % 29.92/8.22 | (303) $false % 29.92/8.22 | % 29.92/8.22 |-The branch is then unsatisfiable % 29.92/8.22 |-Branch two: % 29.92/8.22 | (274) ~ (all_0_53_53 = e2) % 29.92/8.22 | (363) all_0_53_53 = e3 | all_0_53_53 = e1 % 29.92/8.22 | % 29.92/8.22 +-Applying beta-rule and splitting (88), into two cases. % 29.92/8.22 |-Branch one: % 29.92/8.22 | (364) all_0_50_50 = e2 % 29.92/8.22 | % 29.92/8.22 | Equations (364) can reduce 258 to: % 29.92/8.22 | (303) $false % 29.92/8.22 | % 29.92/8.22 |-The branch is then unsatisfiable % 29.92/8.22 |-Branch two: % 29.92/8.22 | (258) ~ (all_0_50_50 = e2) % 29.92/8.22 | (367) all_0_50_50 = e4 | all_0_50_50 = e1 % 29.92/8.22 | % 29.92/8.22 +-Applying beta-rule and splitting (114), into two cases. % 29.92/8.22 |-Branch one: % 29.92/8.22 | (368) all_0_49_49 = e2 % 29.92/8.22 | % 29.92/8.22 | Equations (368) can reduce 177 to: % 29.92/8.22 | (369) ~ (all_0_41_41 = e2) % 29.92/8.22 | % 29.92/8.22 | Equations (368) can reduce 37 to: % 29.92/8.22 | (257) ~ (all_0_50_50 = e2) % 29.92/8.22 | % 29.92/8.22 | Simplifying 257 yields: % 29.92/8.22 | (258) ~ (all_0_50_50 = e2) % 29.92/8.22 | % 29.92/8.22 | Equations (368) can reduce 160 to: % 29.92/8.22 | (372) ~ (all_0_51_51 = e2) % 29.92/8.22 | % 29.92/8.22 | Simplifying 372 yields: % 29.92/8.22 | (373) ~ (all_0_51_51 = e2) % 29.92/8.22 | % 29.92/8.22 | Equations (368) can reduce 7 to: % 29.92/8.22 | (374) ~ (all_0_53_53 = e2) % 29.92/8.22 | % 29.92/8.22 | Simplifying 374 yields: % 29.92/8.22 | (274) ~ (all_0_53_53 = e2) % 29.92/8.22 | % 29.92/8.22 | Equations (368) can reduce 226 to: % 29.92/8.22 | (376) ~ (all_0_57_57 = e2) % 29.92/8.22 | % 29.92/8.22 | Simplifying 376 yields: % 29.92/8.22 | (377) ~ (all_0_57_57 = e2) % 29.92/8.22 | % 29.92/8.22 | Equations (368) can reduce 215 to: % 29.92/8.22 | (261) ~ (e4 = e2) % 29.92/8.22 | % 29.92/8.22 | Simplifying 261 yields: % 29.92/8.22 | (231) ~ (e4 = e2) % 29.92/8.22 | % 29.92/8.22 +-Applying beta-rule and splitting (67), into two cases. % 29.92/8.22 |-Branch one: % 29.92/8.22 | (380) all_0_48_48 = e0 % 29.92/8.22 | % 29.92/8.22 | Equations (380) can reduce 292 to: % 29.92/8.22 | (303) $false % 29.92/8.22 | % 29.92/8.22 |-The branch is then unsatisfiable % 29.92/8.22 |-Branch two: % 29.92/8.22 | (292) ~ (all_0_48_48 = e0) % 29.92/8.22 | (383) all_0_49_49 = e0 | all_0_51_51 = e0 % 29.92/8.22 | % 29.92/8.22 +-Applying beta-rule and splitting (383), into two cases. % 29.92/8.22 |-Branch one: % 29.92/8.22 | (384) all_0_49_49 = e0 % 29.92/8.22 | % 29.92/8.22 | Combining equations (384,368) yields a new equation: % 29.92/8.22 | (385) e2 = e0 % 29.92/8.22 | % 29.92/8.22 | Equations (385) can reduce 51 to: % 29.92/8.22 | (303) $false % 29.92/8.22 | % 29.92/8.22 |-The branch is then unsatisfiable % 29.92/8.22 |-Branch two: % 29.92/8.22 | (387) ~ (all_0_49_49 = e0) % 29.92/8.22 | (388) all_0_51_51 = e0 % 29.92/8.22 | % 29.92/8.22 | Equations (388) can reduce 161 to: % 29.92/8.22 | (330) ~ (all_0_44_44 = e0) % 29.92/8.22 | % 29.92/8.22 | Equations (388) can reduce 127 to: % 29.92/8.22 | (292) ~ (all_0_48_48 = e0) % 29.92/8.22 | % 29.92/8.22 | Equations (388) can reduce 171 to: % 29.92/8.22 | (207) ~ (all_0_50_50 = e0) % 29.92/8.22 | % 29.92/8.22 | Equations (388) can reduce 13 to: % 29.92/8.22 | (392) ~ (all_0_55_55 = e0) % 29.92/8.22 | % 29.92/8.22 | Simplifying 392 yields: % 29.92/8.22 | (93) ~ (all_0_55_55 = e0) % 29.92/8.22 | % 29.92/8.22 | Equations (388) can reduce 373 to: % 29.92/8.22 | (335) ~ (e2 = e0) % 29.92/8.22 | % 29.92/8.22 | Simplifying 335 yields: % 29.92/8.22 | (51) ~ (e2 = e0) % 29.92/8.22 | % 29.92/8.22 | From (388) and (122) follows: % 29.92/8.22 | (396) op(e0, e2) = all_0_21_21 % 29.92/8.22 | % 29.92/8.22 | From (388) and (66) follows: % 29.92/8.22 | (397) op(e2, e0) = e0 % 29.92/8.22 | % 29.92/8.22 +-Applying beta-rule and splitting (150), into two cases. % 29.92/8.22 |-Branch one: % 29.92/8.22 | (398) all_0_41_41 = e0 % 29.92/8.22 | % 29.92/8.22 | Equations (398) can reduce 326 to: % 29.92/8.22 | (303) $false % 29.92/8.22 | % 29.92/8.22 |-The branch is then unsatisfiable % 29.92/8.22 |-Branch two: % 29.92/8.22 | (326) ~ (all_0_41_41 = e0) % 29.92/8.22 | (401) all_0_49_49 = e0 | all_0_57_57 = e0 % 29.92/8.22 | % 29.92/8.22 +-Applying beta-rule and splitting (401), into two cases. % 29.92/8.22 |-Branch one: % 29.92/8.22 | (384) all_0_49_49 = e0 % 29.92/8.22 | % 29.92/8.22 | Combining equations (368,384) yields a new equation: % 29.92/8.22 | (403) e2 = e0 % 29.92/8.22 | % 29.92/8.22 | Simplifying 403 yields: % 29.92/8.22 | (385) e2 = e0 % 29.92/8.22 | % 29.92/8.22 | Equations (385) can reduce 51 to: % 29.92/8.22 | (303) $false % 29.92/8.22 | % 29.92/8.22 |-The branch is then unsatisfiable % 29.92/8.22 |-Branch two: % 29.92/8.22 | (387) ~ (all_0_49_49 = e0) % 29.92/8.22 | (407) all_0_57_57 = e0 % 29.92/8.22 | % 29.92/8.22 | Equations (407) can reduce 11 to: % 29.92/8.22 | (326) ~ (all_0_41_41 = e0) % 29.92/8.22 | % 29.92/8.22 | Equations (407) can reduce 251 to: % 29.92/8.22 | (140) ~ (all_0_53_53 = e0) % 29.92/8.22 | % 29.92/8.22 | Equations (407) can reduce 172 to: % 29.92/8.22 | (296) ~ (all_0_56_56 = e0) % 29.92/8.22 | % 29.92/8.22 | Equations (407) can reduce 222 to: % 29.92/8.22 | (411) ~ (all_0_59_59 = e0) % 29.92/8.22 | % 29.92/8.22 | Simplifying 411 yields: % 29.92/8.22 | (216) ~ (all_0_59_59 = e0) % 29.92/8.22 | % 29.92/8.22 | Equations (407) can reduce 81 to: % 29.92/8.22 | (413) ~ (all_0_60_60 = e0) % 29.92/8.22 | % 29.92/8.22 | Simplifying 413 yields: % 29.92/8.22 | (414) ~ (all_0_60_60 = e0) % 29.92/8.22 | % 29.92/8.23 | Equations (407) can reduce 202 to: % 29.92/8.23 | (297) ~ (e4 = e0) % 29.92/8.23 | % 29.92/8.23 | Simplifying 297 yields: % 29.92/8.23 | (4) ~ (e4 = e0) % 29.92/8.23 | % 29.92/8.23 | Equations (407) can reduce 377 to: % 29.92/8.23 | (335) ~ (e2 = e0) % 29.92/8.23 | % 29.92/8.23 | Simplifying 335 yields: % 29.92/8.23 | (51) ~ (e2 = e0) % 29.92/8.23 | % 29.92/8.23 | From (407) and (35) follows: % 29.92/8.23 | (419) op(e0, e3) = all_0_34_34 % 29.92/8.23 | % 29.92/8.23 | From (407) and (5) follows: % 29.92/8.23 | (420) op(e0, e3) = e0 % 29.92/8.23 | % 29.92/8.23 | Instantiating formula (29) with e0, e3, e0, all_0_34_34 and discharging atoms op(e0, e3) = all_0_34_34, op(e0, e3) = e0, yields: % 29.92/8.23 | (421) all_0_34_34 = e0 % 29.92/8.23 | % 29.92/8.23 | Instantiating formula (29) with e0, e2, all_0_21_21, e4 and discharging atoms op(e0, e2) = all_0_21_21, op(e0, e2) = e4, yields: % 29.92/8.23 | (422) all_0_21_21 = e4 % 29.92/8.23 | % 29.92/8.23 | From (421) and (419) follows: % 29.92/8.23 | (420) op(e0, e3) = e0 % 29.92/8.23 | % 29.92/8.23 | From (422) and (396) follows: % 29.92/8.23 | (353) op(e0, e2) = e4 % 29.92/8.23 | % 29.92/8.23 +-Applying beta-rule and splitting (64), into two cases. % 29.92/8.23 |-Branch one: % 29.92/8.23 | (425) all_0_52_52 = e3 % 29.92/8.23 | % 29.92/8.23 | Equations (425) can reduce 108 to: % 29.92/8.23 | (34) ~ (all_0_48_48 = e3) % 29.92/8.23 | % 29.92/8.23 | Equations (425) can reduce 77 to: % 29.92/8.23 | (427) ~ (all_0_53_53 = e3) % 29.92/8.23 | % 29.92/8.23 | Simplifying 427 yields: % 29.92/8.23 | (428) ~ (all_0_53_53 = e3) % 29.92/8.23 | % 29.92/8.23 | Equations (425) can reduce 78 to: % 29.92/8.23 | (70) ~ (e3 = e0) % 29.92/8.23 | % 29.92/8.23 | From (425) and (152) follows: % 29.92/8.23 | (430) op(e1, e4) = e3 % 29.92/8.23 | % 29.92/8.23 +-Applying beta-rule and splitting (237), into two cases. % 29.92/8.23 |-Branch one: % 29.92/8.23 | (431) all_0_41_41 = e3 % 29.92/8.23 | % 29.92/8.23 | Equations (431) can reduce 151 to: % 29.92/8.23 | (432) ~ (all_0_40_40 = e3) % 29.92/8.23 | % 29.92/8.23 | Equations (431) can reduce 43 to: % 29.92/8.23 | (433) ~ (all_0_43_43 = e3) % 29.92/8.23 | % 29.92/8.23 | Simplifying 433 yields: % 29.92/8.23 | (434) ~ (all_0_43_43 = e3) % 29.92/8.23 | % 29.92/8.23 | Equations (431) can reduce 176 to: % 29.92/8.23 | (435) ~ (all_0_44_44 = e3) % 29.92/8.23 | % 29.92/8.23 | Simplifying 435 yields: % 29.92/8.23 | (310) ~ (all_0_44_44 = e3) % 29.92/8.23 | % 29.92/8.23 | Equations (431) can reduce 121 to: % 29.92/8.23 | (427) ~ (all_0_53_53 = e3) % 29.92/8.23 | % 29.92/8.23 | Simplifying 427 yields: % 29.92/8.23 | (428) ~ (all_0_53_53 = e3) % 29.92/8.23 | % 29.92/8.23 | Equations (431) can reduce 192 to: % 29.92/8.23 | (439) ~ (e4 = e3) % 29.92/8.23 | % 29.92/8.23 | Simplifying 439 yields: % 29.92/8.23 | (30) ~ (e4 = e3) % 29.92/8.23 | % 29.92/8.23 | Equations (431) can reduce 369 to: % 29.92/8.23 | (223) ~ (e3 = e2) % 29.92/8.23 | % 29.92/8.23 +-Applying beta-rule and splitting (6), into two cases. % 29.92/8.23 |-Branch one: % 29.92/8.23 | (442) all_0_52_52 = e4 % 29.92/8.23 | % 29.92/8.23 | Combining equations (425,442) yields a new equation: % 29.92/8.23 | (443) e4 = e3 % 29.92/8.23 | % 29.92/8.23 | Equations (443) can reduce 30 to: % 29.92/8.23 | (303) $false % 29.92/8.23 | % 29.92/8.23 |-The branch is then unsatisfiable % 29.92/8.23 |-Branch two: % 29.92/8.23 | (445) ~ (all_0_52_52 = e4) % 29.92/8.23 | (446) all_0_54_54 = e4 | all_0_55_55 = e4 % 29.92/8.23 | % 29.92/8.23 +-Applying beta-rule and splitting (137), into two cases. % 29.92/8.23 |-Branch one: % 29.92/8.23 | (447) all_0_43_43 = e3 % 29.92/8.23 | % 29.92/8.23 | Equations (447) can reduce 434 to: % 29.92/8.23 | (303) $false % 29.92/8.23 | % 29.92/8.23 |-The branch is then unsatisfiable % 29.92/8.23 |-Branch two: % 29.92/8.23 | (434) ~ (all_0_43_43 = e3) % 29.92/8.23 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 29.92/8.23 | % 29.92/8.23 +-Applying beta-rule and splitting (450), into two cases. % 29.92/8.23 |-Branch one: % 29.92/8.23 | (451) all_0_46_46 = e3 % 29.92/8.23 | % 29.92/8.23 | Combining equations (451,252) yields a new equation: % 29.92/8.23 | (452) e3 = e2 % 29.92/8.23 | % 29.92/8.23 | Simplifying 452 yields: % 29.92/8.23 | (453) e3 = e2 % 29.92/8.23 | % 29.92/8.23 | Equations (453) can reduce 223 to: % 29.92/8.23 | (303) $false % 29.92/8.23 | % 29.92/8.23 |-The branch is then unsatisfiable % 29.92/8.23 |-Branch two: % 29.92/8.23 | (455) ~ (all_0_46_46 = e3) % 29.92/8.23 | (456) all_0_59_59 = e3 % 29.92/8.23 | % 29.92/8.23 | Equations (456) can reduce 126 to: % 29.92/8.23 | (15) ~ (all_0_50_50 = e3) % 29.92/8.23 | % 29.92/8.23 | Equations (456) can reduce 164 to: % 29.92/8.23 | (315) ~ (all_0_60_60 = e3) % 29.92/8.23 | % 29.92/8.23 | Simplifying 315 yields: % 29.92/8.23 | (316) ~ (all_0_60_60 = e3) % 29.92/8.23 | % 29.92/8.23 | Equations (456) can reduce 216 to: % 29.92/8.23 | (70) ~ (e3 = e0) % 29.92/8.23 | % 29.92/8.23 | From (456) and (90) follows: % 29.92/8.23 | (461) op(e0, e1) = e3 % 29.92/8.23 | % 29.92/8.23 +-Applying beta-rule and splitting (363), into two cases. % 29.92/8.23 |-Branch one: % 29.92/8.23 | (462) all_0_53_53 = e1 % 29.92/8.23 | % 29.92/8.23 | Equations (462) can reduce 131 to: % 29.92/8.23 | (463) ~ (all_0_55_55 = e1) % 29.92/8.23 | % 29.92/8.23 | Simplifying 463 yields: % 29.92/8.23 | (464) ~ (all_0_55_55 = e1) % 29.92/8.23 | % 29.92/8.23 | Equations (462) can reduce 428 to: % 29.92/8.23 | (465) ~ (e3 = e1) % 29.92/8.23 | % 29.92/8.23 | Simplifying 465 yields: % 29.92/8.23 | (136) ~ (e3 = e1) % 29.92/8.23 | % 29.92/8.23 | Equations (462) can reduce 140 to: % 29.92/8.23 | (134) ~ (e1 = e0) % 29.92/8.23 | % 29.92/8.23 | From (462) and (224) follows: % 29.92/8.23 | (468) op(e1, e3) = e1 % 29.92/8.23 | % 29.92/8.23 +-Applying beta-rule and splitting (446), into two cases. % 29.92/8.23 |-Branch one: % 29.92/8.23 | (469) all_0_54_54 = e4 % 29.92/8.23 | % 29.92/8.23 | Combining equations (271,469) yields a new equation: % 29.92/8.23 | (470) e4 = e2 % 29.92/8.23 | % 29.92/8.23 | Equations (470) can reduce 231 to: % 29.92/8.23 | (303) $false % 29.92/8.23 | % 29.92/8.23 |-The branch is then unsatisfiable % 29.92/8.23 |-Branch two: % 29.92/8.23 | (472) ~ (all_0_54_54 = e4) % 29.92/8.23 | (473) all_0_55_55 = e4 % 29.92/8.23 | % 29.92/8.23 | Equations (473) can reduce 59 to: % 29.92/8.23 | (474) ~ (all_0_44_44 = e4) % 29.92/8.23 | % 29.92/8.23 | Equations (473) can reduce 159 to: % 29.92/8.23 | (349) ~ (all_0_60_60 = e4) % 29.92/8.23 | % 29.92/8.23 | Simplifying 349 yields: % 29.92/8.23 | (350) ~ (all_0_60_60 = e4) % 29.92/8.23 | % 29.92/8.23 | Equations (473) can reduce 464 to: % 29.92/8.23 | (247) ~ (e4 = e1) % 29.92/8.23 | % 29.92/8.23 | Equations (473) can reduce 93 to: % 29.92/8.23 | (4) ~ (e4 = e0) % 29.92/8.23 | % 29.92/8.23 | From (473) and (240) follows: % 29.92/8.23 | (479) op(e1, e0) = e4 % 29.92/8.23 | % 29.92/8.23 +-Applying beta-rule and splitting (56), into two cases. % 29.92/8.23 |-Branch one: % 29.92/8.23 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 29.99/8.23 | % 29.99/8.23 +-Applying beta-rule and splitting (480), into two cases. % 29.99/8.23 |-Branch one: % 29.99/8.23 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 29.99/8.23 | % 29.99/8.23 +-Applying beta-rule and splitting (481), into two cases. % 29.99/8.23 |-Branch one: % 29.99/8.23 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 29.99/8.23 | % 29.99/8.23 +-Applying beta-rule and splitting (482), into two cases. % 29.99/8.23 |-Branch one: % 29.99/8.23 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 29.99/8.23 | % 29.99/8.23 | Applying alpha-rule on (483) yields: % 29.99/8.23 | (484) ~ (unit = e4) % 29.99/8.23 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 29.99/8.24 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 29.99/8.24 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 29.99/8.24 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 29.99/8.24 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 29.99/8.24 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 29.99/8.24 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 29.99/8.24 | (492) ~ (all_0_55_55 = e4) % 29.99/8.24 | (493) all_0_45_45 = e3 % 29.99/8.24 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 29.99/8.24 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 29.99/8.24 | % 29.99/8.24 | Combining equations (493,287) yields a new equation: % 29.99/8.24 | (496) e3 = e0 % 29.99/8.24 | % 29.99/8.24 | Simplifying 496 yields: % 29.99/8.24 | (497) e3 = e0 % 29.99/8.24 | % 29.99/8.24 | Equations (497) can reduce 70 to: % 29.99/8.24 | (303) $false % 29.99/8.24 | % 29.99/8.24 |-The branch is then unsatisfiable % 29.99/8.24 |-Branch two: % 29.99/8.24 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 29.99/8.24 | % 29.99/8.24 | Applying alpha-rule on (499) yields: % 29.99/8.24 | (500) ~ (all_0_51_51 = e1) % 29.99/8.24 | (501) ~ (all_0_60_60 = e1) % 29.99/8.24 | (502) ~ (all_0_52_52 = e1) % 29.99/8.24 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 29.99/8.24 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 29.99/8.24 | (252) all_0_46_46 = e2 % 29.99/8.24 | (506) ~ (all_0_49_49 = e1) % 29.99/8.24 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 29.99/8.24 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 29.99/8.24 | (509) ~ (all_0_53_53 = e1) % 29.99/8.24 | (510) ~ (unit = e1) % 29.99/8.24 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 29.99/8.24 | (512) ~ (all_0_44_44 = e1) % 29.99/8.24 | % 29.99/8.24 | Equations (462) can reduce 509 to: % 29.99/8.24 | (303) $false % 29.99/8.24 | % 29.99/8.24 |-The branch is then unsatisfiable % 29.99/8.24 |-Branch two: % 29.99/8.24 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 29.99/8.24 | % 29.99/8.24 | Applying alpha-rule on (514) yields: % 29.99/8.24 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 29.99/8.24 | (516) ~ (all_0_47_47 = e3) % 29.99/8.24 | (314) ~ (all_0_55_55 = e3) % 29.99/8.24 | (368) all_0_49_49 = e2 % 29.99/8.24 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 29.99/8.24 | (520) ~ (unit = e3) % 29.99/8.24 | (521) ~ (all_0_52_52 = e3) % 29.99/8.24 | (455) ~ (all_0_46_46 = e3) % 29.99/8.24 | (432) ~ (all_0_40_40 = e3) % 29.99/8.24 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 29.99/8.24 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 29.99/8.24 | (526) ~ (all_0_56_56 = e3) % 29.99/8.24 | % 29.99/8.24 | Equations (425) can reduce 521 to: % 29.99/8.24 | (303) $false % 29.99/8.24 | % 29.99/8.24 |-The branch is then unsatisfiable % 29.99/8.24 |-Branch two: % 29.99/8.24 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 29.99/8.24 | % 29.99/8.24 | Applying alpha-rule on (528) yields: % 29.99/8.24 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 29.99/8.24 | (530) all_0_55_55 = e1 % 29.99/8.24 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 29.99/8.24 | (387) ~ (all_0_49_49 = e0) % 29.99/8.24 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 29.99/8.24 | (534) ~ (all_0_45_45 = e0) % 29.99/8.24 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 29.99/8.24 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 29.99/8.24 | (537) ~ (unit = e0) % 29.99/8.24 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 29.99/8.24 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 29.99/8.24 | % 29.99/8.24 | Combining equations (473,530) yields a new equation: % 29.99/8.24 | (540) e4 = e1 % 29.99/8.24 | % 29.99/8.24 | Simplifying 540 yields: % 29.99/8.24 | (541) e4 = e1 % 29.99/8.24 | % 29.99/8.24 | Equations (541) can reduce 247 to: % 29.99/8.24 | (303) $false % 29.99/8.24 | % 29.99/8.24 |-The branch is then unsatisfiable % 29.99/8.24 |-Branch two: % 29.99/8.24 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 29.99/8.24 | % 29.99/8.24 | Applying alpha-rule on (543) yields: % 29.99/8.24 | (544) ~ (all_0_48_48 = e2) % 29.99/8.24 | (369) ~ (all_0_41_41 = e2) % 29.99/8.24 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 29.99/8.24 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 29.99/8.24 | (253) ~ (all_0_43_43 = e2) % 29.99/8.24 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 29.99/8.24 | (276) ~ (all_0_55_55 = e2) % 29.99/8.24 | (260) ~ (all_0_59_59 = e2) % 29.99/8.24 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 29.99/8.24 | (274) ~ (all_0_53_53 = e2) % 29.99/8.24 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 29.99/8.24 | (373) ~ (all_0_51_51 = e2) % 29.99/8.24 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 29.99/8.24 | (256) ~ (all_0_47_47 = e2) % 29.99/8.24 | (377) ~ (all_0_57_57 = e2) % 29.99/8.24 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 29.99/8.24 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 29.99/8.24 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 29.99/8.24 | (258) ~ (all_0_50_50 = e2) % 29.99/8.24 | (254) ~ (all_0_45_45 = e2) % 29.99/8.24 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 29.99/8.24 | % 29.99/8.24 | Equations (462) can reduce 274 to: % 29.99/8.24 | (565) ~ (e2 = e1) % 29.99/8.24 | % 29.99/8.24 | Simplifying 565 yields: % 29.99/8.24 | (144) ~ (e2 = e1) % 29.99/8.24 | % 29.99/8.24 | Equations (473) can reduce 276 to: % 29.99/8.24 | (231) ~ (e4 = e2) % 29.99/8.24 | % 29.99/8.24 | Equations (407) can reduce 377 to: % 29.99/8.24 | (335) ~ (e2 = e0) % 29.99/8.24 | % 29.99/8.24 | Simplifying 335 yields: % 29.99/8.24 | (51) ~ (e2 = e0) % 29.99/8.24 | % 29.99/8.24 | Equations (456) can reduce 260 to: % 29.99/8.24 | (223) ~ (e3 = e2) % 29.99/8.24 | % 29.99/8.24 +-Applying beta-rule and splitting (547), into two cases. % 29.99/8.24 |-Branch one: % 29.99/8.24 | (571) ~ (all_0_60_60 = e2) % 29.99/8.24 | % 29.99/8.24 +-Applying beta-rule and splitting (112), into two cases. % 29.99/8.24 |-Branch one: % 29.99/8.24 | (572) all_0_44_44 = e2 % 29.99/8.24 | % 29.99/8.24 | Equations (572) can reduce 165 to: % 29.99/8.24 | (573) ~ (all_0_60_60 = e2) % 29.99/8.24 | % 29.99/8.24 | Simplifying 573 yields: % 29.99/8.24 | (571) ~ (all_0_60_60 = e2) % 29.99/8.24 | % 29.99/8.24 | Equations (572) can reduce 474 to: % 29.99/8.24 | (261) ~ (e4 = e2) % 29.99/8.24 | % 29.99/8.24 | Simplifying 261 yields: % 29.99/8.24 | (231) ~ (e4 = e2) % 29.99/8.24 | % 29.99/8.24 | Equations (572) can reduce 310 to: % 29.99/8.24 | (577) ~ (e3 = e2) % 29.99/8.24 | % 29.99/8.24 | Simplifying 577 yields: % 29.99/8.24 | (223) ~ (e3 = e2) % 29.99/8.24 | % 29.99/8.24 | Equations (572) can reduce 330 to: % 29.99/8.24 | (51) ~ (e2 = e0) % 29.99/8.24 | % 29.99/8.24 +-Applying beta-rule and splitting (61), into two cases. % 29.99/8.24 |-Branch one: % 29.99/8.24 | (580) all_0_56_56 = e2 % 29.99/8.24 | % 29.99/8.24 | Equations (580) can reduce 2 to: % 29.99/8.24 | (544) ~ (all_0_48_48 = e2) % 29.99/8.24 | % 29.99/8.24 | From (580) and (132) follows: % 29.99/8.24 | (582) op(e0, e4) = e2 % 29.99/8.24 | % 29.99/8.24 +-Applying beta-rule and splitting (245), into two cases. % 29.99/8.24 |-Branch one: % 29.99/8.24 | (583) all_0_56_56 = e1 % 29.99/8.24 | % 29.99/8.24 | Combining equations (580,583) yields a new equation: % 29.99/8.24 | (584) e2 = e1 % 29.99/8.24 | % 29.99/8.24 | Simplifying 584 yields: % 29.99/8.24 | (585) e2 = e1 % 29.99/8.24 | % 29.99/8.24 | Equations (585) can reduce 144 to: % 29.99/8.24 | (303) $false % 29.99/8.24 | % 29.99/8.24 |-The branch is then unsatisfiable % 29.99/8.24 |-Branch two: % 29.99/8.24 | (587) ~ (all_0_56_56 = e1) % 29.99/8.24 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 29.99/8.24 | % 29.99/8.24 +-Applying beta-rule and splitting (588), into two cases. % 29.99/8.24 |-Branch one: % 29.99/8.24 | (589) all_0_57_57 = e1 % 29.99/8.24 | % 29.99/8.24 | Combining equations (407,589) yields a new equation: % 29.99/8.24 | (590) e1 = e0 % 29.99/8.24 | % 29.99/8.24 | Equations (590) can reduce 134 to: % 29.99/8.24 | (303) $false % 29.99/8.24 | % 29.99/8.24 |-The branch is then unsatisfiable % 29.99/8.24 |-Branch two: % 29.99/8.24 | (592) ~ (all_0_57_57 = e1) % 29.99/8.24 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 29.99/8.24 | % 29.99/8.24 +-Applying beta-rule and splitting (552), into two cases. % 29.99/8.24 |-Branch one: % 29.99/8.24 | (594) ~ (all_0_56_56 = e2) % 29.99/8.24 | % 29.99/8.24 | Equations (580) can reduce 594 to: % 29.99/8.24 | (303) $false % 29.99/8.24 | % 29.99/8.24 |-The branch is then unsatisfiable % 29.99/8.24 |-Branch two: % 29.99/8.24 | (580) all_0_56_56 = e2 % 29.99/8.24 | (597) all_0_58_58 = e4 & ~ (unit = e2) % 29.99/8.24 | % 29.99/8.24 | Applying alpha-rule on (597) yields: % 29.99/8.24 | (344) all_0_58_58 = e4 % 29.99/8.24 | (599) ~ (unit = e2) % 29.99/8.24 | % 29.99/8.24 +-Applying beta-rule and splitting (593), into two cases. % 29.99/8.24 |-Branch one: % 29.99/8.24 | (600) all_0_59_59 = e1 % 29.99/8.24 | % 29.99/8.24 | Combining equations (600,456) yields a new equation: % 29.99/8.24 | (601) e3 = e1 % 29.99/8.24 | % 29.99/8.24 | Equations (601) can reduce 136 to: % 29.99/8.24 | (303) $false % 29.99/8.24 | % 29.99/8.24 |-The branch is then unsatisfiable % 29.99/8.24 |-Branch two: % 29.99/8.24 | (603) ~ (all_0_59_59 = e1) % 29.99/8.24 | (604) all_0_60_60 = e1 % 29.99/8.24 | % 29.99/8.24 | Equations (604) can reduce 350 to: % 29.99/8.24 | (605) ~ (e4 = e1) % 29.99/8.24 | % 29.99/8.24 | Simplifying 605 yields: % 29.99/8.24 | (247) ~ (e4 = e1) % 29.99/8.24 | % 29.99/8.24 | Equations (604) can reduce 316 to: % 29.99/8.24 | (465) ~ (e3 = e1) % 29.99/8.24 | % 29.99/8.24 | Simplifying 465 yields: % 29.99/8.24 | (136) ~ (e3 = e1) % 29.99/8.24 | % 29.99/8.24 +-Applying beta-rule and splitting (234), into two cases. % 29.99/8.24 |-Branch one: % 29.99/8.24 | (609) all_0_48_48 = e4 % 29.99/8.24 | % 29.99/8.24 | Equations (609) can reduce 48 to: % 29.99/8.24 | (610) ~ (all_0_50_50 = e4) % 29.99/8.25 | % 29.99/8.25 | Simplifying 610 yields: % 29.99/8.25 | (611) ~ (all_0_50_50 = e4) % 29.99/8.25 | % 29.99/8.25 | Equations (609) can reduce 34 to: % 29.99/8.25 | (30) ~ (e4 = e3) % 29.99/8.25 | % 29.99/8.25 | From (609) and (105) follows: % 29.99/8.25 | (613) op(e2, e4) = e4 % 29.99/8.25 | % 29.99/8.25 +-Applying beta-rule and splitting (139), into two cases. % 29.99/8.25 |-Branch one: % 29.99/8.25 | (614) all_0_43_43 = e4 % 29.99/8.25 | % 29.99/8.25 | Equations (614) can reduce 238 to: % 29.99/8.25 | (610) ~ (all_0_50_50 = e4) % 29.99/8.25 | % 29.99/8.25 | Simplifying 610 yields: % 29.99/8.25 | (611) ~ (all_0_50_50 = e4) % 29.99/8.25 | % 29.99/8.25 | From (614) and (19) follows: % 29.99/8.25 | (617) op(e4, e1) = e4 % 29.99/8.25 | % 29.99/8.25 +-Applying beta-rule and splitting (100), into two cases. % 29.99/8.25 |-Branch one: % 29.99/8.25 | (618) all_0_43_43 = e1 % 29.99/8.25 | % 29.99/8.25 | Combining equations (614,618) yields a new equation: % 29.99/8.25 | (540) e4 = e1 % 29.99/8.25 | % 29.99/8.25 | Simplifying 540 yields: % 29.99/8.25 | (541) e4 = e1 % 29.99/8.25 | % 29.99/8.25 | Equations (541) can reduce 247 to: % 29.99/8.25 | (303) $false % 29.99/8.25 | % 29.99/8.25 |-The branch is then unsatisfiable % 29.99/8.25 |-Branch two: % 29.99/8.25 | (622) ~ (all_0_43_43 = e1) % 29.99/8.25 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 29.99/8.25 | % 29.99/8.25 +-Applying beta-rule and splitting (175), into two cases. % 29.99/8.25 |-Branch one: % 29.99/8.25 | (624) all_0_40_40 = e1 % 29.99/8.25 | % 29.99/8.25 | Equations (624) can reduce 432 to: % 29.99/8.25 | (465) ~ (e3 = e1) % 29.99/8.25 | % 29.99/8.25 | Simplifying 465 yields: % 29.99/8.25 | (136) ~ (e3 = e1) % 29.99/8.25 | % 29.99/8.25 +-Applying beta-rule and splitting (623), into two cases. % 29.99/8.25 |-Branch one: % 29.99/8.25 | (627) all_0_50_50 = e1 % 29.99/8.25 | % 29.99/8.25 | Equations (627) can reduce 258 to: % 29.99/8.25 | (565) ~ (e2 = e1) % 29.99/8.25 | % 29.99/8.25 | Simplifying 565 yields: % 29.99/8.25 | (144) ~ (e2 = e1) % 29.99/8.25 | % 29.99/8.25 | Equations (627) can reduce 207 to: % 29.99/8.25 | (134) ~ (e1 = e0) % 29.99/8.25 | % 29.99/8.25 +-Applying beta-rule and splitting (62), into two cases. % 29.99/8.25 |-Branch one: % 29.99/8.25 | (631) unit = e2 % 29.99/8.25 | % 29.99/8.25 | Equations (631) can reduce 599 to: % 29.99/8.25 | (303) $false % 29.99/8.25 | % 29.99/8.25 |-The branch is then unsatisfiable % 29.99/8.25 |-Branch two: % 29.99/8.25 | (599) ~ (unit = e2) % 29.99/8.25 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 29.99/8.25 | % 29.99/8.25 +-Applying beta-rule and splitting (634), into two cases. % 29.99/8.25 |-Branch one: % 29.99/8.25 | (635) unit = e4 % 29.99/8.25 | % 29.99/8.25 | From (635) and (38) follows: % 29.99/8.25 | (636) op(e4, e1) = e1 % 29.99/8.25 | % 29.99/8.25 | From (635) and (74) follows: % 29.99/8.25 | (637) op(e2, e4) = e2 % 29.99/8.25 | % 29.99/8.25 | From (635) and (111) follows: % 29.99/8.25 | (638) op(e0, e4) = e0 % 29.99/8.25 | % 29.99/8.25 | Instantiating formula (29) with e4, e1, e1, e4 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e1, yields: % 29.99/8.25 | (541) e4 = e1 % 29.99/8.25 | % 29.99/8.25 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 29.99/8.25 | (470) e4 = e2 % 29.99/8.25 | % 29.99/8.25 | Instantiating formula (29) with e0, e4, e0, e2 and discharging atoms op(e0, e4) = e2, op(e0, e4) = e0, yields: % 29.99/8.25 | (385) e2 = e0 % 29.99/8.25 | % 29.99/8.25 | Combining equations (470,541) yields a new equation: % 29.99/8.25 | (584) e2 = e1 % 29.99/8.25 | % 29.99/8.25 | Simplifying 584 yields: % 29.99/8.25 | (585) e2 = e1 % 29.99/8.25 | % 29.99/8.25 | Combining equations (385,585) yields a new equation: % 29.99/8.25 | (590) e1 = e0 % 29.99/8.25 | % 29.99/8.25 | Equations (590) can reduce 134 to: % 29.99/8.25 | (303) $false % 29.99/8.25 | % 29.99/8.25 |-The branch is then unsatisfiable % 29.99/8.25 |-Branch two: % 29.99/8.25 | (484) ~ (unit = e4) % 29.99/8.25 | (647) unit = e3 | unit = e1 | unit = e0 % 29.99/8.25 | % 29.99/8.25 +-Applying beta-rule and splitting (647), into two cases. % 29.99/8.25 |-Branch one: % 29.99/8.25 | (648) unit = e1 % 29.99/8.25 | % 29.99/8.25 | From (648) and (17) follows: % 29.99/8.25 | (649) op(e1, e4) = e4 % 29.99/8.25 | % 29.99/8.25 | From (648) and (232) follows: % 29.99/8.25 | (650) op(e1, e3) = e3 % 29.99/8.25 | % 29.99/8.25 | From (648) and (189) follows: % 29.99/8.25 | (651) op(e1, e0) = e0 % 29.99/8.25 | % 29.99/8.25 | Instantiating formula (29) with e1, e4, e4, e3 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e3, yields: % 29.99/8.25 | (443) e4 = e3 % 29.99/8.25 | % 29.99/8.25 | Instantiating formula (29) with e1, e3, e3, e1 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 29.99/8.25 | (601) e3 = e1 % 29.99/8.25 | % 29.99/8.25 | Instantiating formula (29) with e1, e0, e0, e4 and discharging atoms op(e1, e0) = e4, op(e1, e0) = e0, yields: % 29.99/8.25 | (654) e4 = e0 % 29.99/8.25 | % 29.99/8.25 | Combining equations (654,443) yields a new equation: % 29.99/8.25 | (497) e3 = e0 % 29.99/8.25 | % 29.99/8.25 | Combining equations (497,601) yields a new equation: % 29.99/8.25 | (590) e1 = e0 % 29.99/8.25 | % 29.99/8.25 | Equations (590) can reduce 134 to: % 29.99/8.25 | (303) $false % 29.99/8.25 | % 29.99/8.25 |-The branch is then unsatisfiable % 29.99/8.25 |-Branch two: % 29.99/8.25 | (510) ~ (unit = e1) % 29.99/8.25 | (659) unit = e3 | unit = e0 % 29.99/8.25 | % 29.99/8.25 +-Applying beta-rule and splitting (659), into two cases. % 29.99/8.25 |-Branch one: % 29.99/8.25 | (660) unit = e0 % 29.99/8.25 | % 29.99/8.25 | Equations (660) can reduce 510 to: % 29.99/8.25 | (661) ~ (e1 = e0) % 29.99/8.25 | % 29.99/8.25 | Simplifying 661 yields: % 29.99/8.25 | (134) ~ (e1 = e0) % 29.99/8.25 | % 29.99/8.25 | From (660) and (147) follows: % 29.99/8.25 | (663) op(e0, e2) = e2 % 29.99/8.25 | % 29.99/8.25 | From (660) and (74) follows: % 29.99/8.25 | (664) op(e2, e0) = e2 % 29.99/8.25 | % 29.99/8.25 | From (660) and (190) follows: % 29.99/8.25 | (665) op(e1, e0) = e1 % 29.99/8.25 | % 29.99/8.25 | Instantiating formula (29) with e2, e0, e2, e0 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 29.99/8.25 | (385) e2 = e0 % 29.99/8.25 | % 29.99/8.25 | Instantiating formula (29) with e1, e0, e1, e4 and discharging atoms op(e1, e0) = e4, op(e1, e0) = e1, yields: % 29.99/8.25 | (541) e4 = e1 % 29.99/8.25 | % 29.99/8.25 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 29.99/8.25 | (470) e4 = e2 % 29.99/8.25 | % 29.99/8.25 | Combining equations (541,470) yields a new equation: % 29.99/8.25 | (585) e2 = e1 % 29.99/8.25 | % 29.99/8.25 | Combining equations (585,385) yields a new equation: % 29.99/8.25 | (670) e1 = e0 % 29.99/8.25 | % 29.99/8.25 | Simplifying 670 yields: % 29.99/8.25 | (590) e1 = e0 % 29.99/8.25 | % 29.99/8.25 | Equations (590) can reduce 134 to: % 29.99/8.25 | (303) $false % 29.99/8.25 | % 29.99/8.25 |-The branch is then unsatisfiable % 29.99/8.25 |-Branch two: % 29.99/8.25 | (537) ~ (unit = e0) % 29.99/8.25 | (674) unit = e3 % 29.99/8.25 | % 29.99/8.25 | From (674) and (38) follows: % 29.99/8.25 | (675) op(e3, e1) = e1 % 29.99/8.25 | % 29.99/8.25 | Instantiating formula (29) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 29.99/8.25 | (585) e2 = e1 % 29.99/8.25 | % 29.99/8.25 | Equations (585) can reduce 144 to: % 29.99/8.25 | (303) $false % 29.99/8.25 | % 29.99/8.25 |-The branch is then unsatisfiable % 29.99/8.25 |-Branch two: % 29.99/8.25 | (678) ~ (all_0_50_50 = e1) % 29.99/8.25 | (600) all_0_59_59 = e1 % 29.99/8.25 | % 29.99/8.25 | Combining equations (456,600) yields a new equation: % 29.99/8.25 | (680) e3 = e1 % 29.99/8.25 | % 29.99/8.25 | Simplifying 680 yields: % 29.99/8.25 | (601) e3 = e1 % 29.99/8.25 | % 29.99/8.25 | Equations (601) can reduce 136 to: % 29.99/8.25 | (303) $false % 29.99/8.25 | % 29.99/8.25 |-The branch is then unsatisfiable % 29.99/8.25 |-Branch two: % 29.99/8.25 | (683) ~ (all_0_40_40 = e1) % 29.99/8.25 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 29.99/8.25 | % 29.99/8.25 +-Applying beta-rule and splitting (44), into two cases. % 29.99/8.25 |-Branch one: % 29.99/8.25 | (624) all_0_40_40 = e1 % 29.99/8.25 | % 29.99/8.25 | Equations (624) can reduce 683 to: % 29.99/8.25 | (303) $false % 29.99/8.25 | % 29.99/8.25 |-The branch is then unsatisfiable % 29.99/8.25 |-Branch two: % 29.99/8.25 | (683) ~ (all_0_40_40 = e1) % 29.99/8.25 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 29.99/8.25 | % 29.99/8.25 +-Applying beta-rule and splitting (623), into two cases. % 29.99/8.25 |-Branch one: % 29.99/8.25 | (627) all_0_50_50 = e1 % 29.99/8.25 | % 29.99/8.25 | Equations (627) can reduce 611 to: % 29.99/8.25 | (605) ~ (e4 = e1) % 29.99/8.25 | % 29.99/8.25 | Simplifying 605 yields: % 29.99/8.25 | (247) ~ (e4 = e1) % 29.99/8.25 | % 29.99/8.25 | Equations (627) can reduce 15 to: % 29.99/8.25 | (465) ~ (e3 = e1) % 29.99/8.25 | % 29.99/8.25 | Simplifying 465 yields: % 29.99/8.25 | (136) ~ (e3 = e1) % 29.99/8.25 | % 29.99/8.25 | Equations (627) can reduce 258 to: % 29.99/8.25 | (565) ~ (e2 = e1) % 29.99/8.25 | % 29.99/8.25 | Simplifying 565 yields: % 29.99/8.25 | (144) ~ (e2 = e1) % 29.99/8.25 | % 29.99/8.25 +-Applying beta-rule and splitting (688), into two cases. % 29.99/8.25 |-Branch one: % 29.99/8.25 | (696) all_0_41_41 = e1 % 29.99/8.25 | % 29.99/8.25 | Combining equations (696,431) yields a new equation: % 29.99/8.25 | (601) e3 = e1 % 29.99/8.25 | % 29.99/8.25 | Equations (601) can reduce 136 to: % 29.99/8.25 | (303) $false % 29.99/8.25 | % 29.99/8.25 |-The branch is then unsatisfiable % 29.99/8.25 |-Branch two: % 29.99/8.25 | (699) ~ (all_0_41_41 = e1) % 29.99/8.25 | (700) all_0_43_43 = e1 | all_0_44_44 = e1 % 29.99/8.25 | % 29.99/8.25 +-Applying beta-rule and splitting (700), into two cases. % 29.99/8.25 |-Branch one: % 29.99/8.25 | (618) all_0_43_43 = e1 % 29.99/8.25 | % 29.99/8.25 | Combining equations (618,614) yields a new equation: % 29.99/8.25 | (541) e4 = e1 % 29.99/8.25 | % 29.99/8.25 | Equations (541) can reduce 247 to: % 29.99/8.25 | (303) $false % 29.99/8.25 | % 29.99/8.25 |-The branch is then unsatisfiable % 29.99/8.25 |-Branch two: % 29.99/8.25 | (622) ~ (all_0_43_43 = e1) % 29.99/8.25 | (705) all_0_44_44 = e1 % 29.99/8.25 | % 29.99/8.25 | Combining equations (705,572) yields a new equation: % 29.99/8.25 | (585) e2 = e1 % 29.99/8.25 | % 29.99/8.25 | Equations (585) can reduce 144 to: % 29.99/8.25 | (303) $false % 29.99/8.25 | % 29.99/8.25 |-The branch is then unsatisfiable % 29.99/8.25 |-Branch two: % 29.99/8.25 | (678) ~ (all_0_50_50 = e1) % 29.99/8.25 | (600) all_0_59_59 = e1 % 29.99/8.25 | % 29.99/8.25 | Combining equations (600,456) yields a new equation: % 29.99/8.25 | (601) e3 = e1 % 29.99/8.25 | % 29.99/8.25 | Equations (601) can reduce 136 to: % 29.99/8.25 | (303) $false % 29.99/8.25 | % 29.99/8.25 |-The branch is then unsatisfiable % 29.99/8.25 |-Branch two: % 29.99/8.25 | (712) ~ (all_0_43_43 = e4) % 29.99/8.25 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 29.99/8.25 | % 29.99/8.25 +-Applying beta-rule and splitting (713), into two cases. % 29.99/8.25 |-Branch one: % 29.99/8.25 | (714) all_0_50_50 = e4 % 29.99/8.25 | % 29.99/8.25 | Equations (714) can reduce 611 to: % 29.99/8.25 | (303) $false % 29.99/8.25 | % 29.99/8.25 |-The branch is then unsatisfiable % 29.99/8.25 |-Branch two: % 29.99/8.25 | (611) ~ (all_0_50_50 = e4) % 29.99/8.25 | (717) all_0_59_59 = e4 % 29.99/8.25 | % 29.99/8.25 | Combining equations (717,456) yields a new equation: % 29.99/8.25 | (718) e4 = e3 % 29.99/8.25 | % 29.99/8.25 | Simplifying 718 yields: % 29.99/8.25 | (443) e4 = e3 % 29.99/8.25 | % 29.99/8.25 | Equations (443) can reduce 30 to: % 29.99/8.25 | (303) $false % 29.99/8.25 | % 29.99/8.25 |-The branch is then unsatisfiable % 29.99/8.25 |-Branch two: % 29.99/8.25 | (721) ~ (all_0_48_48 = e4) % 29.99/8.25 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 29.99/8.25 | % 29.99/8.25 +-Applying beta-rule and splitting (196), into two cases. % 29.99/8.25 |-Branch one: % 29.99/8.25 | (723) all_0_40_40 = e4 % 29.99/8.25 | % 29.99/8.25 | Equations (723) can reduce 8 to: % 29.99/8.25 | (724) ~ (all_0_43_43 = e4) % 29.99/8.25 | % 29.99/8.25 | Simplifying 724 yields: % 29.99/8.25 | (712) ~ (all_0_43_43 = e4) % 29.99/8.25 | % 29.99/8.25 | Equations (723) can reduce 432 to: % 29.99/8.25 | (30) ~ (e4 = e3) % 29.99/8.25 | % 29.99/8.25 +-Applying beta-rule and splitting (212), into two cases. % 29.99/8.25 |-Branch one: % 29.99/8.25 | (727) all_0_48_48 = e2 % 29.99/8.25 | % 29.99/8.25 | Equations (727) can reduce 544 to: % 29.99/8.25 | (303) $false % 29.99/8.25 | % 29.99/8.25 |-The branch is then unsatisfiable % 29.99/8.25 |-Branch two: % 29.99/8.25 | (544) ~ (all_0_48_48 = e2) % 29.99/8.25 | (730) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 29.99/8.25 | % 29.99/8.25 +-Applying beta-rule and splitting (139), into two cases. % 29.99/8.25 |-Branch one: % 29.99/8.25 | (614) all_0_43_43 = e4 % 29.99/8.25 | % 29.99/8.25 | Equations (614) can reduce 712 to: % 29.99/8.25 | (303) $false % 29.99/8.25 | % 29.99/8.25 |-The branch is then unsatisfiable % 29.99/8.25 |-Branch two: % 29.99/8.25 | (712) ~ (all_0_43_43 = e4) % 29.99/8.25 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 29.99/8.25 | % 29.99/8.25 +-Applying beta-rule and splitting (713), into two cases. % 29.99/8.25 |-Branch one: % 29.99/8.26 | (714) all_0_50_50 = e4 % 29.99/8.26 | % 29.99/8.26 | Equations (714) can reduce 238 to: % 29.99/8.26 | (712) ~ (all_0_43_43 = e4) % 29.99/8.26 | % 29.99/8.26 | Equations (714) can reduce 48 to: % 29.99/8.26 | (721) ~ (all_0_48_48 = e4) % 29.99/8.26 | % 29.99/8.26 | From (714) and (186) follows: % 29.99/8.26 | (738) op(e2, e1) = e4 % 29.99/8.26 | % 29.99/8.26 +-Applying beta-rule and splitting (100), into two cases. % 29.99/8.26 |-Branch one: % 29.99/8.26 | (618) all_0_43_43 = e1 % 29.99/8.26 | % 29.99/8.26 | Equations (618) can reduce 712 to: % 29.99/8.26 | (605) ~ (e4 = e1) % 29.99/8.26 | % 29.99/8.26 | Simplifying 605 yields: % 29.99/8.26 | (247) ~ (e4 = e1) % 29.99/8.26 | % 29.99/8.26 | From (618) and (19) follows: % 29.99/8.26 | (636) op(e4, e1) = e1 % 29.99/8.26 | % 29.99/8.26 +-Applying beta-rule and splitting (175), into two cases. % 29.99/8.26 |-Branch one: % 29.99/8.26 | (624) all_0_40_40 = e1 % 29.99/8.26 | % 29.99/8.26 | Combining equations (624,723) yields a new equation: % 29.99/8.26 | (541) e4 = e1 % 29.99/8.26 | % 29.99/8.26 | Equations (541) can reduce 247 to: % 29.99/8.26 | (303) $false % 29.99/8.26 | % 29.99/8.26 |-The branch is then unsatisfiable % 29.99/8.26 |-Branch two: % 29.99/8.26 | (683) ~ (all_0_40_40 = e1) % 29.99/8.26 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 29.99/8.26 | % 29.99/8.26 +-Applying beta-rule and splitting (228), into two cases. % 29.99/8.26 |-Branch one: % 29.99/8.26 | (748) all_0_48_48 = e1 % 29.99/8.26 | % 29.99/8.26 | Equations (748) can reduce 544 to: % 29.99/8.26 | (565) ~ (e2 = e1) % 29.99/8.26 | % 29.99/8.26 | Simplifying 565 yields: % 29.99/8.26 | (144) ~ (e2 = e1) % 29.99/8.26 | % 29.99/8.26 | Equations (748) can reduce 292 to: % 29.99/8.26 | (134) ~ (e1 = e0) % 29.99/8.26 | % 29.99/8.26 | From (748) and (105) follows: % 29.99/8.26 | (752) op(e2, e4) = e1 % 29.99/8.26 | % 29.99/8.26 +-Applying beta-rule and splitting (62), into two cases. % 29.99/8.26 |-Branch one: % 29.99/8.26 | (631) unit = e2 % 29.99/8.26 | % 29.99/8.26 | Equations (631) can reduce 599 to: % 29.99/8.26 | (303) $false % 29.99/8.26 | % 29.99/8.26 |-The branch is then unsatisfiable % 29.99/8.26 |-Branch two: % 29.99/8.26 | (599) ~ (unit = e2) % 29.99/8.26 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 29.99/8.26 | % 29.99/8.26 +-Applying beta-rule and splitting (634), into two cases. % 29.99/8.26 |-Branch one: % 29.99/8.26 | (635) unit = e4 % 29.99/8.26 | % 29.99/8.26 | From (635) and (74) follows: % 29.99/8.26 | (637) op(e2, e4) = e2 % 29.99/8.26 | % 29.99/8.26 | From (635) and (111) follows: % 29.99/8.26 | (638) op(e0, e4) = e0 % 29.99/8.26 | % 29.99/8.26 | Instantiating formula (29) with e2, e4, e2, e1 and discharging atoms op(e2, e4) = e2, op(e2, e4) = e1, yields: % 29.99/8.26 | (585) e2 = e1 % 29.99/8.26 | % 29.99/8.26 | Instantiating formula (29) with e0, e4, e0, e2 and discharging atoms op(e0, e4) = e2, op(e0, e4) = e0, yields: % 29.99/8.26 | (385) e2 = e0 % 29.99/8.26 | % 29.99/8.26 | Combining equations (385,585) yields a new equation: % 29.99/8.26 | (590) e1 = e0 % 29.99/8.26 | % 29.99/8.26 | Equations (590) can reduce 134 to: % 29.99/8.26 | (303) $false % 29.99/8.26 | % 29.99/8.26 |-The branch is then unsatisfiable % 29.99/8.26 |-Branch two: % 29.99/8.26 | (484) ~ (unit = e4) % 29.99/8.26 | (647) unit = e3 | unit = e1 | unit = e0 % 29.99/8.26 | % 29.99/8.26 +-Applying beta-rule and splitting (647), into two cases. % 29.99/8.26 |-Branch one: % 29.99/8.26 | (648) unit = e1 % 29.99/8.26 | % 29.99/8.26 | From (648) and (17) follows: % 29.99/8.26 | (649) op(e1, e4) = e4 % 29.99/8.26 | % 29.99/8.26 | From (648) and (130) follows: % 29.99/8.26 | (617) op(e4, e1) = e4 % 29.99/8.26 | % 29.99/8.26 | From (648) and (74) follows: % 29.99/8.26 | (769) op(e2, e1) = e2 % 29.99/8.26 | % 29.99/8.26 | From (648) and (111) follows: % 29.99/8.26 | (770) op(e0, e1) = e0 % 29.99/8.26 | % 29.99/8.26 | Instantiating formula (29) with e4, e1, e4, e1 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e1, yields: % 29.99/8.26 | (541) e4 = e1 % 29.99/8.26 | % 29.99/8.26 | Instantiating formula (29) with e2, e1, e2, e4 and discharging atoms op(e2, e1) = e4, op(e2, e1) = e2, yields: % 29.99/8.26 | (470) e4 = e2 % 29.99/8.26 | % 29.99/8.26 | Instantiating formula (29) with e1, e4, e4, e3 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e3, yields: % 29.99/8.26 | (443) e4 = e3 % 29.99/8.26 | % 29.99/8.26 | Instantiating formula (29) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields: % 29.99/8.26 | (497) e3 = e0 % 29.99/8.26 | % 29.99/8.26 | Combining equations (443,470) yields a new equation: % 29.99/8.26 | (452) e3 = e2 % 29.99/8.26 | % 29.99/8.26 | Simplifying 452 yields: % 29.99/8.26 | (453) e3 = e2 % 29.99/8.26 | % 29.99/8.26 | Combining equations (541,470) yields a new equation: % 29.99/8.26 | (585) e2 = e1 % 29.99/8.26 | % 29.99/8.26 | Combining equations (453,497) yields a new equation: % 29.99/8.26 | (403) e2 = e0 % 29.99/8.26 | % 29.99/8.26 | Simplifying 403 yields: % 29.99/8.26 | (385) e2 = e0 % 29.99/8.26 | % 29.99/8.26 | Combining equations (385,585) yields a new equation: % 29.99/8.26 | (590) e1 = e0 % 29.99/8.26 | % 29.99/8.26 | Equations (590) can reduce 134 to: % 29.99/8.26 | (303) $false % 29.99/8.26 | % 29.99/8.26 |-The branch is then unsatisfiable % 29.99/8.26 |-Branch two: % 29.99/8.26 | (510) ~ (unit = e1) % 29.99/8.26 | (659) unit = e3 | unit = e0 % 29.99/8.26 | % 29.99/8.26 +-Applying beta-rule and splitting (659), into two cases. % 29.99/8.26 |-Branch one: % 29.99/8.26 | (660) unit = e0 % 29.99/8.26 | % 29.99/8.26 | Equations (660) can reduce 510 to: % 29.99/8.26 | (661) ~ (e1 = e0) % 29.99/8.26 | % 29.99/8.26 | Simplifying 661 yields: % 29.99/8.26 | (134) ~ (e1 = e0) % 29.99/8.26 | % 29.99/8.26 | From (660) and (147) follows: % 29.99/8.26 | (663) op(e0, e2) = e2 % 29.99/8.26 | % 29.99/8.26 | From (660) and (74) follows: % 29.99/8.26 | (664) op(e2, e0) = e2 % 29.99/8.26 | % 29.99/8.26 | From (660) and (190) follows: % 29.99/8.26 | (665) op(e1, e0) = e1 % 29.99/8.26 | % 29.99/8.26 | Instantiating formula (29) with e2, e0, e2, e0 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 29.99/8.26 | (385) e2 = e0 % 29.99/8.26 | % 29.99/8.26 | Instantiating formula (29) with e1, e0, e1, e4 and discharging atoms op(e1, e0) = e4, op(e1, e0) = e1, yields: % 29.99/8.26 | (541) e4 = e1 % 29.99/8.26 | % 29.99/8.26 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 29.99/8.26 | (470) e4 = e2 % 29.99/8.26 | % 29.99/8.26 | Combining equations (541,470) yields a new equation: % 29.99/8.26 | (585) e2 = e1 % 29.99/8.26 | % 29.99/8.26 | Combining equations (585,385) yields a new equation: % 29.99/8.26 | (670) e1 = e0 % 29.99/8.26 | % 29.99/8.26 | Simplifying 670 yields: % 29.99/8.26 | (590) e1 = e0 % 29.99/8.26 | % 29.99/8.26 | Equations (590) can reduce 134 to: % 29.99/8.26 | (303) $false % 29.99/8.26 | % 29.99/8.26 |-The branch is then unsatisfiable % 29.99/8.26 |-Branch two: % 29.99/8.26 | (537) ~ (unit = e0) % 29.99/8.26 | (674) unit = e3 % 29.99/8.26 | % 29.99/8.26 | From (674) and (38) follows: % 29.99/8.26 | (675) op(e3, e1) = e1 % 29.99/8.26 | % 29.99/8.26 | Instantiating formula (29) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 29.99/8.26 | (585) e2 = e1 % 29.99/8.26 | % 29.99/8.26 | Equations (585) can reduce 144 to: % 29.99/8.26 | (303) $false % 29.99/8.26 | % 29.99/8.26 |-The branch is then unsatisfiable % 29.99/8.26 |-Branch two: % 29.99/8.26 | (802) ~ (all_0_48_48 = e1) % 29.99/8.26 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 29.99/8.26 | % 29.99/8.26 +-Applying beta-rule and splitting (684), into two cases. % 29.99/8.26 |-Branch one: % 29.99/8.26 | (748) all_0_48_48 = e1 % 29.99/8.26 | % 29.99/8.26 | Equations (748) can reduce 802 to: % 29.99/8.26 | (303) $false % 29.99/8.26 | % 29.99/8.26 |-The branch is then unsatisfiable % 29.99/8.26 |-Branch two: % 29.99/8.26 | (802) ~ (all_0_48_48 = e1) % 29.99/8.26 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 29.99/8.26 | % 29.99/8.26 +-Applying beta-rule and splitting (730), into two cases. % 29.99/8.26 |-Branch one: % 29.99/8.26 | (609) all_0_48_48 = e4 % 29.99/8.26 | % 29.99/8.26 | Equations (609) can reduce 721 to: % 29.99/8.26 | (303) $false % 29.99/8.26 | % 29.99/8.26 |-The branch is then unsatisfiable % 29.99/8.26 |-Branch two: % 29.99/8.26 | (721) ~ (all_0_48_48 = e4) % 29.99/8.26 | (811) all_0_48_48 = e1 | all_0_48_48 = e0 % 29.99/8.26 | % 29.99/8.26 +-Applying beta-rule and splitting (811), into two cases. % 29.99/8.26 |-Branch one: % 29.99/8.26 | (748) all_0_48_48 = e1 % 29.99/8.26 | % 29.99/8.26 | Equations (748) can reduce 802 to: % 29.99/8.26 | (303) $false % 29.99/8.26 | % 29.99/8.26 |-The branch is then unsatisfiable % 29.99/8.26 |-Branch two: % 29.99/8.26 | (802) ~ (all_0_48_48 = e1) % 29.99/8.26 | (380) all_0_48_48 = e0 % 29.99/8.26 | % 29.99/8.26 | Equations (380) can reduce 292 to: % 29.99/8.26 | (303) $false % 29.99/8.26 | % 29.99/8.26 |-The branch is then unsatisfiable % 29.99/8.26 |-Branch two: % 29.99/8.26 | (622) ~ (all_0_43_43 = e1) % 29.99/8.26 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 29.99/8.26 | % 29.99/8.26 +-Applying beta-rule and splitting (175), into two cases. % 29.99/8.26 |-Branch one: % 29.99/8.26 | (624) all_0_40_40 = e1 % 29.99/8.26 | % 29.99/8.26 | Combining equations (624,723) yields a new equation: % 29.99/8.26 | (541) e4 = e1 % 29.99/8.26 | % 29.99/8.26 | Equations (541) can reduce 247 to: % 29.99/8.26 | (303) $false % 29.99/8.26 | % 29.99/8.26 |-The branch is then unsatisfiable % 29.99/8.26 |-Branch two: % 29.99/8.26 | (683) ~ (all_0_40_40 = e1) % 29.99/8.26 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 29.99/8.26 | % 29.99/8.26 | Equations (723) can reduce 683 to: % 29.99/8.26 | (247) ~ (e4 = e1) % 29.99/8.26 | % 29.99/8.26 +-Applying beta-rule and splitting (44), into two cases. % 29.99/8.26 |-Branch one: % 29.99/8.26 | (624) all_0_40_40 = e1 % 29.99/8.26 | % 29.99/8.26 | Combining equations (624,723) yields a new equation: % 29.99/8.26 | (541) e4 = e1 % 29.99/8.26 | % 29.99/8.26 | Equations (541) can reduce 247 to: % 29.99/8.26 | (303) $false % 29.99/8.26 | % 29.99/8.26 |-The branch is then unsatisfiable % 29.99/8.26 |-Branch two: % 29.99/8.26 | (683) ~ (all_0_40_40 = e1) % 29.99/8.26 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 29.99/8.26 | % 29.99/8.26 | Equations (723) can reduce 683 to: % 29.99/8.26 | (247) ~ (e4 = e1) % 29.99/8.26 | % 29.99/8.26 +-Applying beta-rule and splitting (623), into two cases. % 29.99/8.26 |-Branch one: % 29.99/8.26 | (627) all_0_50_50 = e1 % 29.99/8.26 | % 29.99/8.26 | Combining equations (714,627) yields a new equation: % 29.99/8.26 | (540) e4 = e1 % 29.99/8.26 | % 29.99/8.26 | Simplifying 540 yields: % 29.99/8.26 | (541) e4 = e1 % 29.99/8.26 | % 29.99/8.26 | Equations (541) can reduce 247 to: % 29.99/8.26 | (303) $false % 29.99/8.26 | % 29.99/8.26 |-The branch is then unsatisfiable % 29.99/8.26 |-Branch two: % 29.99/8.26 | (678) ~ (all_0_50_50 = e1) % 29.99/8.26 | (600) all_0_59_59 = e1 % 29.99/8.26 | % 29.99/8.26 | Combining equations (600,456) yields a new equation: % 29.99/8.26 | (601) e3 = e1 % 29.99/8.26 | % 29.99/8.26 | Equations (601) can reduce 136 to: % 29.99/8.26 | (303) $false % 29.99/8.26 | % 29.99/8.26 |-The branch is then unsatisfiable % 29.99/8.26 |-Branch two: % 29.99/8.26 | (611) ~ (all_0_50_50 = e4) % 29.99/8.26 | (717) all_0_59_59 = e4 % 29.99/8.26 | % 29.99/8.26 | Combining equations (717,456) yields a new equation: % 29.99/8.26 | (718) e4 = e3 % 29.99/8.26 | % 29.99/8.26 | Simplifying 718 yields: % 29.99/8.26 | (443) e4 = e3 % 29.99/8.26 | % 29.99/8.26 | Equations (443) can reduce 30 to: % 29.99/8.26 | (303) $false % 29.99/8.26 | % 29.99/8.26 |-The branch is then unsatisfiable % 29.99/8.26 |-Branch two: % 29.99/8.26 | (844) ~ (all_0_40_40 = e4) % 29.99/8.26 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 29.99/8.26 | % 29.99/8.26 +-Applying beta-rule and splitting (212), into two cases. % 29.99/8.26 |-Branch one: % 29.99/8.26 | (727) all_0_48_48 = e2 % 29.99/8.26 | % 29.99/8.26 | Equations (727) can reduce 544 to: % 29.99/8.26 | (303) $false % 29.99/8.26 | % 29.99/8.26 |-The branch is then unsatisfiable % 29.99/8.26 |-Branch two: % 29.99/8.26 | (544) ~ (all_0_48_48 = e2) % 29.99/8.26 | (730) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 29.99/8.26 | % 29.99/8.26 +-Applying beta-rule and splitting (730), into two cases. % 29.99/8.26 |-Branch one: % 29.99/8.26 | (609) all_0_48_48 = e4 % 29.99/8.26 | % 29.99/8.26 | Equations (609) can reduce 721 to: % 29.99/8.26 | (303) $false % 29.99/8.26 | % 29.99/8.26 |-The branch is then unsatisfiable % 29.99/8.26 |-Branch two: % 29.99/8.26 | (721) ~ (all_0_48_48 = e4) % 29.99/8.26 | (811) all_0_48_48 = e1 | all_0_48_48 = e0 % 29.99/8.26 | % 29.99/8.26 +-Applying beta-rule and splitting (811), into two cases. % 29.99/8.26 |-Branch one: % 29.99/8.26 | (748) all_0_48_48 = e1 % 29.99/8.26 | % 29.99/8.26 | Equations (748) can reduce 48 to: % 29.99/8.27 | (855) ~ (all_0_50_50 = e1) % 29.99/8.27 | % 29.99/8.27 | Simplifying 855 yields: % 29.99/8.27 | (678) ~ (all_0_50_50 = e1) % 29.99/8.27 | % 29.99/8.27 | Equations (748) can reduce 34 to: % 29.99/8.27 | (465) ~ (e3 = e1) % 29.99/8.27 | % 29.99/8.27 | Simplifying 465 yields: % 29.99/8.27 | (136) ~ (e3 = e1) % 29.99/8.27 | % 29.99/8.27 +-Applying beta-rule and splitting (100), into two cases. % 29.99/8.27 |-Branch one: % 29.99/8.27 | (618) all_0_43_43 = e1 % 29.99/8.27 | % 29.99/8.27 | Equations (618) can reduce 238 to: % 29.99/8.27 | (855) ~ (all_0_50_50 = e1) % 29.99/8.27 | % 29.99/8.27 | Simplifying 855 yields: % 29.99/8.27 | (678) ~ (all_0_50_50 = e1) % 29.99/8.27 | % 29.99/8.27 +-Applying beta-rule and splitting (367), into two cases. % 29.99/8.27 |-Branch one: % 29.99/8.27 | (714) all_0_50_50 = e4 % 29.99/8.27 | % 29.99/8.27 | Equations (714) can reduce 15 to: % 29.99/8.27 | (30) ~ (e4 = e3) % 29.99/8.27 | % 29.99/8.27 | Equations (714) can reduce 258 to: % 29.99/8.27 | (231) ~ (e4 = e2) % 29.99/8.27 | % 29.99/8.27 | Equations (714) can reduce 678 to: % 29.99/8.27 | (247) ~ (e4 = e1) % 29.99/8.27 | % 29.99/8.27 +-Applying beta-rule and splitting (845), into two cases. % 29.99/8.27 |-Branch one: % 29.99/8.27 | (609) all_0_48_48 = e4 % 29.99/8.27 | % 29.99/8.27 | Combining equations (609,748) yields a new equation: % 29.99/8.27 | (540) e4 = e1 % 29.99/8.27 | % 29.99/8.27 | Simplifying 540 yields: % 29.99/8.27 | (541) e4 = e1 % 29.99/8.27 | % 29.99/8.27 | Equations (541) can reduce 247 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (721) ~ (all_0_48_48 = e4) % 29.99/8.27 | (871) all_0_52_52 = e4 | all_0_56_56 = e4 % 29.99/8.27 | % 29.99/8.27 +-Applying beta-rule and splitting (871), into two cases. % 29.99/8.27 |-Branch one: % 29.99/8.27 | (442) all_0_52_52 = e4 % 29.99/8.27 | % 29.99/8.27 | Combining equations (442,425) yields a new equation: % 29.99/8.27 | (718) e4 = e3 % 29.99/8.27 | % 29.99/8.27 | Simplifying 718 yields: % 29.99/8.27 | (443) e4 = e3 % 29.99/8.27 | % 29.99/8.27 | Equations (443) can reduce 30 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (445) ~ (all_0_52_52 = e4) % 29.99/8.27 | (877) all_0_56_56 = e4 % 29.99/8.27 | % 29.99/8.27 | Combining equations (877,580) yields a new equation: % 29.99/8.27 | (878) e4 = e2 % 29.99/8.27 | % 29.99/8.27 | Simplifying 878 yields: % 29.99/8.27 | (470) e4 = e2 % 29.99/8.27 | % 29.99/8.27 | Equations (470) can reduce 231 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (611) ~ (all_0_50_50 = e4) % 29.99/8.27 | (627) all_0_50_50 = e1 % 29.99/8.27 | % 29.99/8.27 | Equations (627) can reduce 678 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (622) ~ (all_0_43_43 = e1) % 29.99/8.27 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 29.99/8.27 | % 29.99/8.27 +-Applying beta-rule and splitting (623), into two cases. % 29.99/8.27 |-Branch one: % 29.99/8.27 | (627) all_0_50_50 = e1 % 29.99/8.27 | % 29.99/8.27 | Equations (627) can reduce 678 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (678) ~ (all_0_50_50 = e1) % 29.99/8.27 | (600) all_0_59_59 = e1 % 29.99/8.27 | % 29.99/8.27 | Combining equations (600,456) yields a new equation: % 29.99/8.27 | (601) e3 = e1 % 29.99/8.27 | % 29.99/8.27 | Equations (601) can reduce 136 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (802) ~ (all_0_48_48 = e1) % 29.99/8.27 | (380) all_0_48_48 = e0 % 29.99/8.27 | % 29.99/8.27 | Equations (380) can reduce 292 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (594) ~ (all_0_56_56 = e2) % 29.99/8.27 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 29.99/8.27 | % 29.99/8.27 +-Applying beta-rule and splitting (896), into two cases. % 29.99/8.27 |-Branch one: % 29.99/8.27 | (897) all_0_57_57 = e2 % 29.99/8.27 | % 29.99/8.27 | Combining equations (897,407) yields a new equation: % 29.99/8.27 | (403) e2 = e0 % 29.99/8.27 | % 29.99/8.27 | Simplifying 403 yields: % 29.99/8.27 | (385) e2 = e0 % 29.99/8.27 | % 29.99/8.27 | Equations (385) can reduce 51 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (377) ~ (all_0_57_57 = e2) % 29.99/8.27 | (902) all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 29.99/8.27 | % 29.99/8.27 +-Applying beta-rule and splitting (902), into two cases. % 29.99/8.27 |-Branch one: % 29.99/8.27 | (340) all_0_58_58 = e2 % 29.99/8.27 | % 29.99/8.27 | Combining equations (344,340) yields a new equation: % 29.99/8.27 | (878) e4 = e2 % 29.99/8.27 | % 29.99/8.27 | Simplifying 878 yields: % 29.99/8.27 | (470) e4 = e2 % 29.99/8.27 | % 29.99/8.27 | Equations (470) can reduce 231 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (278) ~ (all_0_58_58 = e2) % 29.99/8.27 | (908) all_0_59_59 = e2 | all_0_60_60 = e2 % 29.99/8.27 | % 29.99/8.27 +-Applying beta-rule and splitting (908), into two cases. % 29.99/8.27 |-Branch one: % 29.99/8.27 | (909) all_0_59_59 = e2 % 29.99/8.27 | % 29.99/8.27 | Combining equations (909,456) yields a new equation: % 29.99/8.27 | (453) e3 = e2 % 29.99/8.27 | % 29.99/8.27 | Equations (453) can reduce 223 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (260) ~ (all_0_59_59 = e2) % 29.99/8.27 | (913) all_0_60_60 = e2 % 29.99/8.27 | % 29.99/8.27 | Equations (913) can reduce 571 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (915) ~ (all_0_44_44 = e2) % 29.99/8.27 | (916) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 29.99/8.27 | % 29.99/8.27 +-Applying beta-rule and splitting (157), into two cases. % 29.99/8.27 |-Branch one: % 29.99/8.27 | (917) all_0_40_40 = e2 % 29.99/8.27 | % 29.99/8.27 | Equations (917) can reduce 432 to: % 29.99/8.27 | (577) ~ (e3 = e2) % 29.99/8.27 | % 29.99/8.27 | Simplifying 577 yields: % 29.99/8.27 | (223) ~ (e3 = e2) % 29.99/8.27 | % 29.99/8.27 | Equations (917) can reduce 288 to: % 29.99/8.27 | (51) ~ (e2 = e0) % 29.99/8.27 | % 29.99/8.27 +-Applying beta-rule and splitting (916), into two cases. % 29.99/8.27 |-Branch one: % 29.99/8.27 | (302) all_0_47_47 = e2 % 29.99/8.27 | % 29.99/8.27 | Combining equations (309,302) yields a new equation: % 29.99/8.27 | (452) e3 = e2 % 29.99/8.27 | % 29.99/8.27 | Simplifying 452 yields: % 29.99/8.27 | (453) e3 = e2 % 29.99/8.27 | % 29.99/8.27 | Equations (453) can reduce 223 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (256) ~ (all_0_47_47 = e2) % 29.99/8.27 | (926) all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 29.99/8.27 | % 29.99/8.27 +-Applying beta-rule and splitting (926), into two cases. % 29.99/8.27 |-Branch one: % 29.99/8.27 | (927) all_0_51_51 = e2 % 29.99/8.27 | % 29.99/8.27 | Combining equations (388,927) yields a new equation: % 29.99/8.27 | (385) e2 = e0 % 29.99/8.27 | % 29.99/8.27 | Equations (385) can reduce 51 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (373) ~ (all_0_51_51 = e2) % 29.99/8.27 | (931) all_0_55_55 = e2 | all_0_60_60 = e2 % 29.99/8.27 | % 29.99/8.27 +-Applying beta-rule and splitting (931), into two cases. % 29.99/8.27 |-Branch one: % 29.99/8.27 | (932) all_0_55_55 = e2 % 29.99/8.27 | % 29.99/8.27 | Combining equations (473,932) yields a new equation: % 29.99/8.27 | (878) e4 = e2 % 29.99/8.27 | % 29.99/8.27 | Simplifying 878 yields: % 29.99/8.27 | (470) e4 = e2 % 29.99/8.27 | % 29.99/8.27 | Equations (470) can reduce 231 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (276) ~ (all_0_55_55 = e2) % 29.99/8.27 | (913) all_0_60_60 = e2 % 29.99/8.27 | % 29.99/8.27 | Equations (913) can reduce 571 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (939) ~ (all_0_40_40 = e2) % 29.99/8.27 | (940) all_0_41_41 = e2 | all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 29.99/8.27 | % 29.99/8.27 +-Applying beta-rule and splitting (96), into two cases. % 29.99/8.27 |-Branch one: % 29.99/8.27 | (917) all_0_40_40 = e2 % 29.99/8.27 | % 29.99/8.27 | Equations (917) can reduce 939 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (939) ~ (all_0_40_40 = e2) % 29.99/8.27 | (944) all_0_45_45 = e2 | all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 29.99/8.27 | % 29.99/8.27 +-Applying beta-rule and splitting (940), into two cases. % 29.99/8.27 |-Branch one: % 29.99/8.27 | (945) all_0_41_41 = e2 % 29.99/8.27 | % 29.99/8.27 | Combining equations (945,431) yields a new equation: % 29.99/8.27 | (453) e3 = e2 % 29.99/8.27 | % 29.99/8.27 | Equations (453) can reduce 223 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (369) ~ (all_0_41_41 = e2) % 29.99/8.27 | (949) all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 29.99/8.27 | % 29.99/8.27 | Equations (431) can reduce 369 to: % 29.99/8.27 | (223) ~ (e3 = e2) % 29.99/8.27 | % 29.99/8.27 +-Applying beta-rule and splitting (944), into two cases. % 29.99/8.27 |-Branch one: % 29.99/8.27 | (951) all_0_45_45 = e2 % 29.99/8.27 | % 29.99/8.27 | Combining equations (951,287) yields a new equation: % 29.99/8.27 | (403) e2 = e0 % 29.99/8.27 | % 29.99/8.27 | Simplifying 403 yields: % 29.99/8.27 | (385) e2 = e0 % 29.99/8.27 | % 29.99/8.27 | Equations (385) can reduce 51 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (254) ~ (all_0_45_45 = e2) % 29.99/8.27 | (956) all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 29.99/8.27 | % 29.99/8.27 +-Applying beta-rule and splitting (61), into two cases. % 29.99/8.27 |-Branch one: % 29.99/8.27 | (580) all_0_56_56 = e2 % 29.99/8.27 | % 29.99/8.27 | Equations (580) can reduce 296 to: % 29.99/8.27 | (51) ~ (e2 = e0) % 29.99/8.27 | % 29.99/8.27 +-Applying beta-rule and splitting (949), into two cases. % 29.99/8.27 |-Branch one: % 29.99/8.27 | (959) all_0_42_42 = e2 % 29.99/8.27 | % 29.99/8.27 | Combining equations (959,324) yields a new equation: % 29.99/8.27 | (403) e2 = e0 % 29.99/8.27 | % 29.99/8.27 | Simplifying 403 yields: % 29.99/8.27 | (385) e2 = e0 % 29.99/8.27 | % 29.99/8.27 | Equations (385) can reduce 51 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (272) ~ (all_0_42_42 = e2) % 29.99/8.27 | (964) all_0_43_43 = e2 | all_0_44_44 = e2 % 29.99/8.27 | % 29.99/8.27 +-Applying beta-rule and splitting (964), into two cases. % 29.99/8.27 |-Branch one: % 29.99/8.27 | (965) all_0_43_43 = e2 % 29.99/8.27 | % 29.99/8.27 | Equations (965) can reduce 253 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (253) ~ (all_0_43_43 = e2) % 29.99/8.27 | (572) all_0_44_44 = e2 % 29.99/8.27 | % 29.99/8.27 | Equations (572) can reduce 915 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (594) ~ (all_0_56_56 = e2) % 29.99/8.27 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 29.99/8.27 | % 29.99/8.27 +-Applying beta-rule and splitting (956), into two cases. % 29.99/8.27 |-Branch one: % 29.99/8.27 | (727) all_0_48_48 = e2 % 29.99/8.27 | % 29.99/8.27 | Equations (727) can reduce 544 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (544) ~ (all_0_48_48 = e2) % 29.99/8.27 | (975) all_0_52_52 = e2 | all_0_56_56 = e2 % 29.99/8.27 | % 29.99/8.27 +-Applying beta-rule and splitting (141), into two cases. % 29.99/8.27 |-Branch one: % 29.99/8.27 | (580) all_0_56_56 = e2 % 29.99/8.27 | % 29.99/8.27 | Equations (580) can reduce 594 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (594) ~ (all_0_56_56 = e2) % 29.99/8.27 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 29.99/8.27 | % 29.99/8.27 +-Applying beta-rule and splitting (975), into two cases. % 29.99/8.27 |-Branch one: % 29.99/8.27 | (980) all_0_52_52 = e2 % 29.99/8.27 | % 29.99/8.27 | Combining equations (425,980) yields a new equation: % 29.99/8.27 | (452) e3 = e2 % 29.99/8.27 | % 29.99/8.27 | Simplifying 452 yields: % 29.99/8.27 | (453) e3 = e2 % 29.99/8.27 | % 29.99/8.27 | Equations (453) can reduce 223 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (273) ~ (all_0_52_52 = e2) % 29.99/8.27 | (580) all_0_56_56 = e2 % 29.99/8.27 | % 29.99/8.27 | Equations (580) can reduce 594 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (913) all_0_60_60 = e2 % 29.99/8.27 | (988) all_0_58_58 = e0 & ~ (unit = e2) % 29.99/8.27 | % 29.99/8.27 | Applying alpha-rule on (988) yields: % 29.99/8.27 | (989) all_0_58_58 = e0 % 29.99/8.27 | (599) ~ (unit = e2) % 29.99/8.27 | % 29.99/8.27 | Combining equations (989,344) yields a new equation: % 29.99/8.27 | (654) e4 = e0 % 29.99/8.27 | % 29.99/8.27 | Equations (654) can reduce 4 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (509) ~ (all_0_53_53 = e1) % 29.99/8.27 | (994) all_0_53_53 = e3 % 29.99/8.27 | % 29.99/8.27 | Equations (994) can reduce 428 to: % 29.99/8.27 | (303) $false % 29.99/8.27 | % 29.99/8.27 |-The branch is then unsatisfiable % 29.99/8.27 |-Branch two: % 29.99/8.27 | (996) ~ (all_0_41_41 = e3) % 29.99/8.28 | (997) all_0_53_53 = e3 | all_0_57_57 = e3 % 29.99/8.28 | % 29.99/8.28 +-Applying beta-rule and splitting (997), into two cases. % 29.99/8.28 |-Branch one: % 29.99/8.28 | (994) all_0_53_53 = e3 % 29.99/8.28 | % 29.99/8.28 | Equations (994) can reduce 428 to: % 29.99/8.28 | (303) $false % 29.99/8.28 | % 29.99/8.28 |-The branch is then unsatisfiable % 29.99/8.28 |-Branch two: % 29.99/8.28 | (428) ~ (all_0_53_53 = e3) % 29.99/8.28 | (1001) all_0_57_57 = e3 % 29.99/8.28 | % 29.99/8.28 | Combining equations (1001,407) yields a new equation: % 29.99/8.28 | (496) e3 = e0 % 29.99/8.28 | % 29.99/8.28 | Simplifying 496 yields: % 29.99/8.28 | (497) e3 = e0 % 29.99/8.28 | % 29.99/8.28 | Equations (497) can reduce 70 to: % 29.99/8.28 | (303) $false % 29.99/8.28 | % 29.99/8.28 |-The branch is then unsatisfiable % 29.99/8.28 |-Branch two: % 29.99/8.28 | (521) ~ (all_0_52_52 = e3) % 29.99/8.28 | (1006) all_0_53_53 = e3 | all_0_55_55 = e3 % 29.99/8.28 | % 29.99/8.28 +-Applying beta-rule and splitting (1006), into two cases. % 29.99/8.28 |-Branch one: % 29.99/8.28 | (994) all_0_53_53 = e3 % 29.99/8.28 | % 29.99/8.28 | Equations (994) can reduce 121 to: % 29.99/8.28 | (996) ~ (all_0_41_41 = e3) % 29.99/8.28 | % 29.99/8.28 | Equations (994) can reduce 77 to: % 29.99/8.28 | (521) ~ (all_0_52_52 = e3) % 29.99/8.28 | % 29.99/8.28 | Equations (994) can reduce 229 to: % 29.99/8.28 | (439) ~ (e4 = e3) % 29.99/8.28 | % 29.99/8.28 | Simplifying 439 yields: % 29.99/8.28 | (30) ~ (e4 = e3) % 29.99/8.28 | % 29.99/8.28 | Equations (994) can reduce 274 to: % 29.99/8.28 | (223) ~ (e3 = e2) % 29.99/8.28 | % 29.99/8.28 | From (994) and (224) follows: % 29.99/8.28 | (650) op(e1, e3) = e3 % 29.99/8.28 | % 29.99/8.28 +-Applying beta-rule and splitting (180), into two cases. % 29.99/8.28 |-Branch one: % 29.99/8.28 | (945) all_0_41_41 = e2 % 29.99/8.28 | % 29.99/8.28 | Equations (945) can reduce 369 to: % 29.99/8.28 | (303) $false % 29.99/8.28 | % 29.99/8.28 |-The branch is then unsatisfiable % 29.99/8.28 |-Branch two: % 29.99/8.28 | (369) ~ (all_0_41_41 = e2) % 29.99/8.28 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 29.99/8.28 | % 29.99/8.28 +-Applying beta-rule and splitting (221), into two cases. % 29.99/8.28 |-Branch one: % 29.99/8.28 | (696) all_0_41_41 = e1 % 29.99/8.28 | % 29.99/8.28 | Equations (696) can reduce 151 to: % 29.99/8.28 | (683) ~ (all_0_40_40 = e1) % 29.99/8.28 | % 29.99/8.28 | Equations (696) can reduce 43 to: % 29.99/8.28 | (1020) ~ (all_0_43_43 = e1) % 29.99/8.28 | % 29.99/8.28 | Simplifying 1020 yields: % 29.99/8.28 | (622) ~ (all_0_43_43 = e1) % 29.99/8.28 | % 29.99/8.28 | Equations (696) can reduce 176 to: % 29.99/8.28 | (1022) ~ (all_0_44_44 = e1) % 29.99/8.28 | % 29.99/8.28 | Simplifying 1022 yields: % 29.99/8.28 | (512) ~ (all_0_44_44 = e1) % 29.99/8.28 | % 29.99/8.28 | Equations (696) can reduce 326 to: % 29.99/8.28 | (134) ~ (e1 = e0) % 29.99/8.28 | % 29.99/8.28 | From (696) and (167) follows: % 29.99/8.28 | (1025) op(e4, e3) = e1 % 29.99/8.28 | % 29.99/8.28 +-Applying beta-rule and splitting (137), into two cases. % 29.99/8.28 |-Branch one: % 29.99/8.28 | (447) all_0_43_43 = e3 % 29.99/8.28 | % 29.99/8.28 | Equations (447) can reduce 8 to: % 29.99/8.28 | (432) ~ (all_0_40_40 = e3) % 29.99/8.28 | % 29.99/8.28 | Equations (447) can reduce 82 to: % 29.99/8.28 | (435) ~ (all_0_44_44 = e3) % 29.99/8.28 | % 29.99/8.28 | Simplifying 435 yields: % 29.99/8.28 | (310) ~ (all_0_44_44 = e3) % 29.99/8.28 | % 29.99/8.28 | Equations (447) can reduce 249 to: % 29.99/8.28 | (1030) ~ (all_0_59_59 = e3) % 29.99/8.28 | % 29.99/8.28 | Simplifying 1030 yields: % 29.99/8.28 | (1031) ~ (all_0_59_59 = e3) % 29.99/8.28 | % 29.99/8.28 | Equations (447) can reduce 253 to: % 29.99/8.28 | (223) ~ (e3 = e2) % 29.99/8.28 | % 29.99/8.28 | Equations (447) can reduce 117 to: % 29.99/8.28 | (70) ~ (e3 = e0) % 29.99/8.28 | % 29.99/8.28 +-Applying beta-rule and splitting (227), into two cases. % 29.99/8.28 |-Branch one: % 29.99/8.28 | (909) all_0_59_59 = e2 % 29.99/8.28 | % 29.99/8.28 | Equations (909) can reduce 260 to: % 29.99/8.28 | (303) $false % 29.99/8.28 | % 29.99/8.28 |-The branch is then unsatisfiable % 29.99/8.28 |-Branch two: % 29.99/8.28 | (260) ~ (all_0_59_59 = e2) % 29.99/8.28 | (1037) all_0_59_59 = e4 | all_0_59_59 = e3 | all_0_59_59 = e1 % 29.99/8.28 | % 29.99/8.28 +-Applying beta-rule and splitting (139), into two cases. % 29.99/8.28 |-Branch one: % 29.99/8.28 | (614) all_0_43_43 = e4 % 29.99/8.28 | % 29.99/8.28 | Combining equations (614,447) yields a new equation: % 29.99/8.28 | (718) e4 = e3 % 29.99/8.28 | % 29.99/8.28 | Simplifying 718 yields: % 29.99/8.28 | (443) e4 = e3 % 29.99/8.28 | % 29.99/8.28 | Equations (443) can reduce 30 to: % 29.99/8.28 | (303) $false % 29.99/8.28 | % 29.99/8.28 |-The branch is then unsatisfiable % 29.99/8.28 |-Branch two: % 29.99/8.28 | (712) ~ (all_0_43_43 = e4) % 29.99/8.28 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 29.99/8.28 | % 29.99/8.28 +-Applying beta-rule and splitting (1037), into two cases. % 29.99/8.28 |-Branch one: % 29.99/8.28 | (717) all_0_59_59 = e4 % 29.99/8.28 | % 29.99/8.28 | Equations (717) can reduce 348 to: % 29.99/8.28 | (303) $false % 29.99/8.28 | % 29.99/8.28 |-The branch is then unsatisfiable % 29.99/8.28 |-Branch two: % 29.99/8.28 | (348) ~ (all_0_59_59 = e4) % 29.99/8.28 | (1047) all_0_59_59 = e3 | all_0_59_59 = e1 % 29.99/8.28 | % 29.99/8.28 +-Applying beta-rule and splitting (1047), into two cases. % 29.99/8.28 |-Branch one: % 29.99/8.28 | (600) all_0_59_59 = e1 % 29.99/8.28 | % 29.99/8.28 | Equations (600) can reduce 126 to: % 29.99/8.28 | (678) ~ (all_0_50_50 = e1) % 29.99/8.28 | % 29.99/8.28 | Equations (600) can reduce 164 to: % 29.99/8.28 | (1050) ~ (all_0_60_60 = e1) % 29.99/8.28 | % 29.99/8.28 | Simplifying 1050 yields: % 29.99/8.28 | (501) ~ (all_0_60_60 = e1) % 29.99/8.28 | % 29.99/8.28 | Equations (600) can reduce 348 to: % 29.99/8.28 | (605) ~ (e4 = e1) % 29.99/8.28 | % 29.99/8.28 | Simplifying 605 yields: % 29.99/8.28 | (247) ~ (e4 = e1) % 29.99/8.28 | % 29.99/8.28 | Equations (600) can reduce 260 to: % 29.99/8.28 | (565) ~ (e2 = e1) % 29.99/8.28 | % 29.99/8.28 | Simplifying 565 yields: % 29.99/8.28 | (144) ~ (e2 = e1) % 29.99/8.28 | % 29.99/8.28 | Equations (600) can reduce 216 to: % 29.99/8.28 | (134) ~ (e1 = e0) % 29.99/8.28 | % 29.99/8.28 +-Applying beta-rule and splitting (228), into two cases. % 29.99/8.28 |-Branch one: % 29.99/8.28 | (748) all_0_48_48 = e1 % 29.99/8.28 | % 29.99/8.28 | Equations (748) can reduce 53 to: % 29.99/8.28 | (683) ~ (all_0_40_40 = e1) % 29.99/8.28 | % 29.99/8.28 | Equations (748) can reduce 48 to: % 29.99/8.28 | (855) ~ (all_0_50_50 = e1) % 29.99/8.28 | % 29.99/8.28 | Simplifying 855 yields: % 29.99/8.28 | (678) ~ (all_0_50_50 = e1) % 29.99/8.28 | % 29.99/8.28 | Equations (748) can reduce 108 to: % 29.99/8.28 | (1061) ~ (all_0_52_52 = e1) % 29.99/8.28 | % 29.99/8.28 | Simplifying 1061 yields: % 29.99/8.28 | (502) ~ (all_0_52_52 = e1) % 29.99/8.28 | % 29.99/8.28 | Equations (748) can reduce 34 to: % 29.99/8.28 | (465) ~ (e3 = e1) % 29.99/8.28 | % 29.99/8.28 | Simplifying 465 yields: % 29.99/8.28 | (136) ~ (e3 = e1) % 29.99/8.28 | % 29.99/8.28 +-Applying beta-rule and splitting (234), into two cases. % 29.99/8.28 |-Branch one: % 29.99/8.28 | (609) all_0_48_48 = e4 % 29.99/8.28 | % 29.99/8.28 | Combining equations (748,609) yields a new equation: % 29.99/8.28 | (541) e4 = e1 % 29.99/8.28 | % 29.99/8.28 | Equations (541) can reduce 247 to: % 29.99/8.28 | (303) $false % 29.99/8.28 | % 29.99/8.28 |-The branch is then unsatisfiable % 29.99/8.28 |-Branch two: % 29.99/8.28 | (721) ~ (all_0_48_48 = e4) % 29.99/8.28 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 29.99/8.28 | % 29.99/8.28 +-Applying beta-rule and splitting (85), into two cases. % 29.99/8.28 |-Branch one: % 29.99/8.28 | (1070) all_0_52_52 = e1 % 29.99/8.28 | % 29.99/8.28 | Equations (1070) can reduce 502 to: % 29.99/8.28 | (303) $false % 29.99/8.28 | % 29.99/8.28 |-The branch is then unsatisfiable % 29.99/8.28 |-Branch two: % 29.99/8.28 | (502) ~ (all_0_52_52 = e1) % 29.99/8.28 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 29.99/8.28 | % 29.99/8.28 +-Applying beta-rule and splitting (722), into two cases. % 29.99/8.28 |-Branch one: % 29.99/8.28 | (714) all_0_50_50 = e4 % 29.99/8.28 | % 29.99/8.28 | Equations (714) can reduce 258 to: % 29.99/8.28 | (231) ~ (e4 = e2) % 29.99/8.28 | % 29.99/8.28 | Equations (714) can reduce 678 to: % 29.99/8.28 | (247) ~ (e4 = e1) % 29.99/8.28 | % 29.99/8.28 | Equations (714) can reduce 207 to: % 29.99/8.28 | (4) ~ (e4 = e0) % 29.99/8.28 | % 29.99/8.28 | From (714) and (186) follows: % 29.99/8.28 | (738) op(e2, e1) = e4 % 29.99/8.28 | % 29.99/8.28 +-Applying beta-rule and splitting (1073), into two cases. % 29.99/8.28 |-Branch one: % 29.99/8.28 | (462) all_0_53_53 = e1 % 29.99/8.28 | % 29.99/8.28 | Combining equations (994,462) yields a new equation: % 29.99/8.28 | (680) e3 = e1 % 29.99/8.28 | % 29.99/8.28 | Simplifying 680 yields: % 29.99/8.28 | (601) e3 = e1 % 29.99/8.28 | % 29.99/8.28 | Equations (601) can reduce 136 to: % 29.99/8.28 | (303) $false % 29.99/8.28 | % 29.99/8.28 |-The branch is then unsatisfiable % 29.99/8.28 |-Branch two: % 29.99/8.28 | (509) ~ (all_0_53_53 = e1) % 29.99/8.28 | (530) all_0_55_55 = e1 % 29.99/8.28 | % 29.99/8.28 | Equations (530) can reduce 59 to: % 29.99/8.28 | (512) ~ (all_0_44_44 = e1) % 29.99/8.28 | % 29.99/8.28 | Equations (530) can reduce 169 to: % 29.99/8.28 | (502) ~ (all_0_52_52 = e1) % 29.99/8.28 | % 29.99/8.28 | Equations (530) can reduce 159 to: % 29.99/8.28 | (1050) ~ (all_0_60_60 = e1) % 29.99/8.28 | % 29.99/8.28 | Simplifying 1050 yields: % 29.99/8.28 | (501) ~ (all_0_60_60 = e1) % 29.99/8.28 | % 29.99/8.28 | Equations (530) can reduce 276 to: % 29.99/8.28 | (565) ~ (e2 = e1) % 29.99/8.28 | % 29.99/8.28 | Simplifying 565 yields: % 29.99/8.28 | (144) ~ (e2 = e1) % 29.99/8.28 | % 29.99/8.28 +-Applying beta-rule and splitting (6), into two cases. % 29.99/8.28 |-Branch one: % 29.99/8.28 | (442) all_0_52_52 = e4 % 29.99/8.28 | % 29.99/8.28 | Equations (442) can reduce 273 to: % 29.99/8.28 | (231) ~ (e4 = e2) % 29.99/8.28 | % 29.99/8.28 | Equations (442) can reduce 502 to: % 29.99/8.28 | (247) ~ (e4 = e1) % 29.99/8.28 | % 29.99/8.28 | Equations (442) can reduce 78 to: % 29.99/8.28 | (4) ~ (e4 = e0) % 29.99/8.28 | % 29.99/8.28 | From (442) and (152) follows: % 29.99/8.28 | (649) op(e1, e4) = e4 % 29.99/8.28 | % 29.99/8.28 +-Applying beta-rule and splitting (241), into two cases. % 29.99/8.28 |-Branch one: % 29.99/8.28 | (1096) all_0_44_44 = e4 % 29.99/8.28 | % 29.99/8.28 | Equations (1096) can reduce 124 to: % 29.99/8.28 | (844) ~ (all_0_40_40 = e4) % 29.99/8.28 | % 29.99/8.28 | Equations (1096) can reduce 165 to: % 29.99/8.28 | (349) ~ (all_0_60_60 = e4) % 29.99/8.28 | % 29.99/8.28 | Simplifying 349 yields: % 29.99/8.28 | (350) ~ (all_0_60_60 = e4) % 29.99/8.28 | % 29.99/8.28 | Equations (1096) can reduce 310 to: % 29.99/8.28 | (30) ~ (e4 = e3) % 29.99/8.28 | % 29.99/8.28 | Equations (1096) can reduce 330 to: % 29.99/8.28 | (4) ~ (e4 = e0) % 29.99/8.28 | % 29.99/8.28 +-Applying beta-rule and splitting (145), into two cases. % 29.99/8.28 |-Branch one: % 29.99/8.28 | (1102) all_0_40_40 = e3 % 29.99/8.28 | % 29.99/8.28 | Equations (1102) can reduce 432 to: % 29.99/8.28 | (303) $false % 29.99/8.28 | % 29.99/8.28 |-The branch is then unsatisfiable % 29.99/8.28 |-Branch two: % 29.99/8.28 | (432) ~ (all_0_40_40 = e3) % 29.99/8.28 | (1105) all_0_45_45 = e3 | all_0_52_52 = e3 | all_0_56_56 = e3 % 29.99/8.28 | % 29.99/8.28 +-Applying beta-rule and splitting (1105), into two cases. % 29.99/8.28 |-Branch one: % 29.99/8.28 | (493) all_0_45_45 = e3 % 29.99/8.28 | % 29.99/8.28 | Combining equations (287,493) yields a new equation: % 29.99/8.28 | (497) e3 = e0 % 29.99/8.28 | % 29.99/8.28 | Equations (497) can reduce 70 to: % 29.99/8.28 | (303) $false % 29.99/8.28 | % 29.99/8.28 |-The branch is then unsatisfiable % 29.99/8.28 |-Branch two: % 29.99/8.28 | (1109) ~ (all_0_45_45 = e3) % 29.99/8.28 | (1110) all_0_52_52 = e3 | all_0_56_56 = e3 % 29.99/8.28 | % 29.99/8.28 +-Applying beta-rule and splitting (209), into two cases. % 29.99/8.28 |-Branch one: % 29.99/8.28 | (1111) all_0_56_56 = e3 % 29.99/8.28 | % 29.99/8.28 | Equations (1111) can reduce 57 to: % 29.99/8.28 | (432) ~ (all_0_40_40 = e3) % 29.99/8.28 | % 29.99/8.28 | Equations (1111) can reduce 174 to: % 29.99/8.28 | (315) ~ (all_0_60_60 = e3) % 29.99/8.28 | % 29.99/8.28 | Simplifying 315 yields: % 29.99/8.28 | (316) ~ (all_0_60_60 = e3) % 29.99/8.28 | % 29.99/8.28 | Equations (1111) can reduce 296 to: % 29.99/8.28 | (70) ~ (e3 = e0) % 29.99/8.28 | % 29.99/8.28 | From (1111) and (132) follows: % 29.99/8.28 | (1116) op(e0, e4) = e3 % 29.99/8.28 | % 29.99/8.28 +-Applying beta-rule and splitting (96), into two cases. % 29.99/8.28 |-Branch one: % 29.99/8.28 | (917) all_0_40_40 = e2 % 29.99/8.28 | % 29.99/8.28 | Equations (917) can reduce 844 to: % 29.99/8.28 | (261) ~ (e4 = e2) % 29.99/8.28 | % 29.99/8.28 | Simplifying 261 yields: % 29.99/8.28 | (231) ~ (e4 = e2) % 29.99/8.28 | % 29.99/8.28 | Equations (917) can reduce 432 to: % 29.99/8.28 | (577) ~ (e3 = e2) % 29.99/8.28 | % 29.99/8.28 | Simplifying 577 yields: % 29.99/8.28 | (223) ~ (e3 = e2) % 29.99/8.28 | % 29.99/8.28 | Equations (917) can reduce 288 to: % 29.99/8.28 | (51) ~ (e2 = e0) % 29.99/8.28 | % 29.99/8.28 | From (917) and (168) follows: % 29.99/8.28 | (1123) op(e4, e4) = e2 % 29.99/8.28 | % 29.99/8.28 +-Applying beta-rule and splitting (112), into two cases. % 29.99/8.28 |-Branch one: % 29.99/8.28 | (572) all_0_44_44 = e2 % 29.99/8.28 | % 29.99/8.28 | Combining equations (572,1096) yields a new equation: % 29.99/8.29 | (470) e4 = e2 % 29.99/8.29 | % 29.99/8.29 | Equations (470) can reduce 231 to: % 29.99/8.29 | (303) $false % 29.99/8.29 | % 29.99/8.29 |-The branch is then unsatisfiable % 29.99/8.29 |-Branch two: % 29.99/8.29 | (915) ~ (all_0_44_44 = e2) % 29.99/8.29 | (916) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 29.99/8.29 | % 29.99/8.29 | Equations (1096) can reduce 915 to: % 29.99/8.29 | (231) ~ (e4 = e2) % 29.99/8.29 | % 29.99/8.29 +-Applying beta-rule and splitting (220), into two cases. % 29.99/8.29 |-Branch one: % 29.99/8.29 | (913) all_0_60_60 = e2 % 29.99/8.29 | % 29.99/8.29 +-Applying beta-rule and splitting (56), into two cases. % 29.99/8.29 |-Branch one: % 29.99/8.29 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 29.99/8.29 | % 29.99/8.29 +-Applying beta-rule and splitting (480), into two cases. % 29.99/8.29 |-Branch one: % 29.99/8.29 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 29.99/8.29 | % 29.99/8.29 +-Applying beta-rule and splitting (481), into two cases. % 29.99/8.29 |-Branch one: % 29.99/8.29 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 29.99/8.29 | % 29.99/8.29 +-Applying beta-rule and splitting (482), into two cases. % 29.99/8.29 |-Branch one: % 29.99/8.29 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 29.99/8.29 | % 29.99/8.29 | Applying alpha-rule on (483) yields: % 29.99/8.29 | (484) ~ (unit = e4) % 29.99/8.29 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 29.99/8.29 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 29.99/8.29 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 29.99/8.29 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 29.99/8.29 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 29.99/8.29 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 29.99/8.29 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 29.99/8.29 | (492) ~ (all_0_55_55 = e4) % 29.99/8.29 | (493) all_0_45_45 = e3 % 29.99/8.29 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 29.99/8.29 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 29.99/8.29 | % 29.99/8.29 | Combining equations (287,493) yields a new equation: % 29.99/8.29 | (497) e3 = e0 % 29.99/8.29 | % 29.99/8.29 | Equations (497) can reduce 70 to: % 29.99/8.29 | (303) $false % 29.99/8.29 | % 29.99/8.29 |-The branch is then unsatisfiable % 29.99/8.29 |-Branch two: % 29.99/8.29 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 29.99/8.29 | % 29.99/8.29 | Applying alpha-rule on (499) yields: % 29.99/8.29 | (500) ~ (all_0_51_51 = e1) % 29.99/8.29 | (501) ~ (all_0_60_60 = e1) % 29.99/8.29 | (502) ~ (all_0_52_52 = e1) % 29.99/8.29 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 29.99/8.29 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 29.99/8.29 | (252) all_0_46_46 = e2 % 29.99/8.29 | (506) ~ (all_0_49_49 = e1) % 29.99/8.29 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 29.99/8.29 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 29.99/8.29 | (509) ~ (all_0_53_53 = e1) % 29.99/8.29 | (510) ~ (unit = e1) % 29.99/8.29 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 29.99/8.29 | (512) ~ (all_0_44_44 = e1) % 29.99/8.29 | % 29.99/8.29 | Equations (388) can reduce 500 to: % 29.99/8.29 | (661) ~ (e1 = e0) % 29.99/8.29 | % 29.99/8.29 | Simplifying 661 yields: % 29.99/8.29 | (134) ~ (e1 = e0) % 29.99/8.29 | % 29.99/8.29 +-Applying beta-rule and splitting (62), into two cases. % 29.99/8.29 |-Branch one: % 29.99/8.29 | (631) unit = e2 % 29.99/8.29 | % 29.99/8.29 | From (631) and (38) follows: % 29.99/8.29 | (1166) op(e2, e1) = e1 % 29.99/8.29 | % 29.99/8.29 | From (631) and (111) follows: % 29.99/8.29 | (1167) op(e0, e2) = e0 % 29.99/8.29 | % 29.99/8.29 | Instantiating formula (29) with e2, e1, e1, e4 and discharging atoms op(e2, e1) = e4, op(e2, e1) = e1, yields: % 29.99/8.29 | (541) e4 = e1 % 29.99/8.29 | % 29.99/8.29 | Instantiating formula (29) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields: % 29.99/8.29 | (654) e4 = e0 % 29.99/8.29 | % 29.99/8.29 | Combining equations (541,654) yields a new equation: % 29.99/8.29 | (670) e1 = e0 % 29.99/8.29 | % 29.99/8.29 | Simplifying 670 yields: % 29.99/8.29 | (590) e1 = e0 % 29.99/8.29 | % 29.99/8.29 | Equations (590) can reduce 134 to: % 29.99/8.29 | (303) $false % 29.99/8.29 | % 29.99/8.29 |-The branch is then unsatisfiable % 29.99/8.29 |-Branch two: % 29.99/8.29 | (599) ~ (unit = e2) % 29.99/8.29 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 29.99/8.29 | % 29.99/8.29 +-Applying beta-rule and splitting (634), into two cases. % 29.99/8.29 |-Branch one: % 29.99/8.29 | (635) unit = e4 % 29.99/8.29 | % 29.99/8.29 | From (635) and (147) follows: % 29.99/8.29 | (1176) op(e4, e2) = e2 % 29.99/8.29 | % 29.99/8.29 | From (635) and (130) follows: % 29.99/8.29 | (1177) op(e4, e4) = e4 % 29.99/8.29 | % 29.99/8.29 | From (635) and (190) follows: % 29.99/8.29 | (1178) op(e1, e4) = e1 % 29.99/8.29 | % 29.99/8.29 | Instantiating formula (29) with e4, e4, e4, e2 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e2, yields: % 29.99/8.29 | (470) e4 = e2 % 29.99/8.29 | % 29.99/8.29 | Instantiating formula (29) with e4, e2, e2, e0 and discharging atoms op(e4, e2) = e2, op(e4, e2) = e0, yields: % 29.99/8.29 | (385) e2 = e0 % 29.99/8.29 | % 29.99/8.29 | Instantiating formula (29) with e1, e4, e1, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields: % 29.99/8.29 | (541) e4 = e1 % 29.99/8.29 | % 29.99/8.29 | Combining equations (470,541) yields a new equation: % 29.99/8.29 | (584) e2 = e1 % 29.99/8.29 | % 29.99/8.29 | Simplifying 584 yields: % 29.99/8.29 | (585) e2 = e1 % 29.99/8.29 | % 29.99/8.29 | Combining equations (385,585) yields a new equation: % 29.99/8.29 | (590) e1 = e0 % 29.99/8.29 | % 29.99/8.29 | Equations (590) can reduce 134 to: % 29.99/8.29 | (303) $false % 29.99/8.29 | % 29.99/8.29 |-The branch is then unsatisfiable % 29.99/8.29 |-Branch two: % 29.99/8.29 | (484) ~ (unit = e4) % 29.99/8.29 | (647) unit = e3 | unit = e1 | unit = e0 % 29.99/8.29 | % 29.99/8.29 +-Applying beta-rule and splitting (647), into two cases. % 29.99/8.29 |-Branch one: % 29.99/8.29 | (648) unit = e1 % 29.99/8.29 | % 29.99/8.29 | Equations (648) can reduce 510 to: % 29.99/8.29 | (303) $false % 29.99/8.29 | % 29.99/8.29 |-The branch is then unsatisfiable % 29.99/8.29 |-Branch two: % 29.99/8.29 | (510) ~ (unit = e1) % 29.99/8.29 | (659) unit = e3 | unit = e0 % 29.99/8.29 | % 29.99/8.29 +-Applying beta-rule and splitting (659), into two cases. % 29.99/8.29 |-Branch one: % 29.99/8.29 | (660) unit = e0 % 29.99/8.29 | % 29.99/8.29 | Equations (660) can reduce 599 to: % 29.99/8.29 | (335) ~ (e2 = e0) % 29.99/8.29 | % 29.99/8.29 | Simplifying 335 yields: % 29.99/8.29 | (51) ~ (e2 = e0) % 29.99/8.29 | % 29.99/8.29 | From (660) and (17) follows: % 29.99/8.29 | (1195) op(e0, e4) = e4 % 29.99/8.29 | % 29.99/8.29 | From (660) and (232) follows: % 29.99/8.29 | (1196) op(e0, e3) = e3 % 29.99/8.29 | % 29.99/8.29 | From (660) and (147) follows: % 29.99/8.29 | (663) op(e0, e2) = e2 % 29.99/8.29 | % 29.99/8.29 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 29.99/8.29 | (443) e4 = e3 % 29.99/8.29 | % 29.99/8.29 | Instantiating formula (29) with e0, e3, e3, e0 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields: % 29.99/8.30 | (497) e3 = e0 % 29.99/8.30 | % 29.99/8.30 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 29.99/8.30 | (470) e4 = e2 % 29.99/8.30 | % 29.99/8.30 | Combining equations (470,443) yields a new equation: % 29.99/8.30 | (453) e3 = e2 % 29.99/8.30 | % 29.99/8.30 | Combining equations (453,497) yields a new equation: % 29.99/8.30 | (403) e2 = e0 % 29.99/8.30 | % 29.99/8.30 | Simplifying 403 yields: % 29.99/8.30 | (385) e2 = e0 % 29.99/8.30 | % 29.99/8.30 | Equations (385) can reduce 51 to: % 29.99/8.30 | (303) $false % 29.99/8.30 | % 29.99/8.30 |-The branch is then unsatisfiable % 29.99/8.30 |-Branch two: % 29.99/8.30 | (537) ~ (unit = e0) % 29.99/8.30 | (674) unit = e3 % 29.99/8.30 | % 29.99/8.30 | From (674) and (17) follows: % 29.99/8.30 | (1207) op(e3, e4) = e4 % 29.99/8.30 | % 29.99/8.30 | From (674) and (98) follows: % 29.99/8.30 | (1208) op(e3, e3) = e3 % 29.99/8.30 | % 29.99/8.30 | From (674) and (190) follows: % 29.99/8.30 | (468) op(e1, e3) = e1 % 29.99/8.30 | % 29.99/8.30 | Instantiating formula (29) with e3, e4, e4, e0 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e0, yields: % 29.99/8.30 | (654) e4 = e0 % 29.99/8.30 | % 29.99/8.30 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 29.99/8.30 | (443) e4 = e3 % 29.99/8.30 | % 29.99/8.30 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 29.99/8.30 | (601) e3 = e1 % 29.99/8.30 | % 29.99/8.30 | Combining equations (443,654) yields a new equation: % 29.99/8.30 | (496) e3 = e0 % 29.99/8.30 | % 29.99/8.30 | Simplifying 496 yields: % 29.99/8.30 | (497) e3 = e0 % 29.99/8.30 | % 29.99/8.30 | Combining equations (497,601) yields a new equation: % 29.99/8.30 | (590) e1 = e0 % 29.99/8.30 | % 29.99/8.30 | Equations (590) can reduce 134 to: % 29.99/8.30 | (303) $false % 29.99/8.30 | % 29.99/8.30 |-The branch is then unsatisfiable % 29.99/8.30 |-Branch two: % 29.99/8.30 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 29.99/8.30 | % 29.99/8.30 | Applying alpha-rule on (514) yields: % 29.99/8.30 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 29.99/8.30 | (516) ~ (all_0_47_47 = e3) % 29.99/8.30 | (314) ~ (all_0_55_55 = e3) % 29.99/8.30 | (368) all_0_49_49 = e2 % 29.99/8.30 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 29.99/8.30 | (520) ~ (unit = e3) % 29.99/8.30 | (521) ~ (all_0_52_52 = e3) % 29.99/8.30 | (455) ~ (all_0_46_46 = e3) % 29.99/8.30 | (432) ~ (all_0_40_40 = e3) % 29.99/8.30 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 29.99/8.30 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 29.99/8.30 | (526) ~ (all_0_56_56 = e3) % 29.99/8.30 | % 29.99/8.30 | Equations (1111) can reduce 526 to: % 29.99/8.30 | (303) $false % 29.99/8.30 | % 29.99/8.30 |-The branch is then unsatisfiable % 29.99/8.30 |-Branch two: % 29.99/8.30 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 29.99/8.30 | % 29.99/8.30 | Applying alpha-rule on (528) yields: % 29.99/8.30 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 29.99/8.30 | (530) all_0_55_55 = e1 % 29.99/8.30 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 29.99/8.30 | (387) ~ (all_0_49_49 = e0) % 29.99/8.30 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 29.99/8.30 | (534) ~ (all_0_45_45 = e0) % 29.99/8.30 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 29.99/8.30 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 29.99/8.30 | (537) ~ (unit = e0) % 29.99/8.30 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 29.99/8.30 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 29.99/8.30 | % 29.99/8.30 | Equations (287) can reduce 534 to: % 29.99/8.30 | (303) $false % 29.99/8.30 | % 29.99/8.30 |-The branch is then unsatisfiable % 29.99/8.30 |-Branch two: % 29.99/8.30 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 29.99/8.30 | % 29.99/8.30 | Applying alpha-rule on (543) yields: % 29.99/8.30 | (544) ~ (all_0_48_48 = e2) % 29.99/8.30 | (369) ~ (all_0_41_41 = e2) % 29.99/8.30 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 29.99/8.30 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 29.99/8.30 | (253) ~ (all_0_43_43 = e2) % 29.99/8.30 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 29.99/8.30 | (276) ~ (all_0_55_55 = e2) % 29.99/8.30 | (260) ~ (all_0_59_59 = e2) % 29.99/8.30 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 29.99/8.30 | (274) ~ (all_0_53_53 = e2) % 29.99/8.30 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 29.99/8.30 | (373) ~ (all_0_51_51 = e2) % 29.99/8.30 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 29.99/8.30 | (256) ~ (all_0_47_47 = e2) % 29.99/8.30 | (377) ~ (all_0_57_57 = e2) % 29.99/8.30 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 29.99/8.30 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 29.99/8.30 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 29.99/8.30 | (258) ~ (all_0_50_50 = e2) % 29.99/8.30 | (254) ~ (all_0_45_45 = e2) % 29.99/8.30 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 29.99/8.30 | % 29.99/8.30 +-Applying beta-rule and splitting (547), into two cases. % 29.99/8.30 |-Branch one: % 29.99/8.30 | (571) ~ (all_0_60_60 = e2) % 29.99/8.30 | % 29.99/8.30 | Equations (913) can reduce 571 to: % 29.99/8.30 | (303) $false % 29.99/8.30 | % 29.99/8.30 |-The branch is then unsatisfiable % 29.99/8.30 |-Branch two: % 29.99/8.30 | (913) all_0_60_60 = e2 % 29.99/8.30 | (988) all_0_58_58 = e0 & ~ (unit = e2) % 29.99/8.30 | % 29.99/8.30 | Applying alpha-rule on (988) yields: % 29.99/8.30 | (989) all_0_58_58 = e0 % 29.99/8.30 | (599) ~ (unit = e2) % 29.99/8.30 | % 29.99/8.30 | Combining equations (989,344) yields a new equation: % 29.99/8.30 | (654) e4 = e0 % 29.99/8.30 | % 29.99/8.30 | Equations (654) can reduce 4 to: % 29.99/8.30 | (303) $false % 29.99/8.30 | % 29.99/8.30 |-The branch is then unsatisfiable % 29.99/8.30 |-Branch two: % 29.99/8.30 | (571) ~ (all_0_60_60 = e2) % 29.99/8.30 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 29.99/8.30 | % 29.99/8.30 +-Applying beta-rule and splitting (61), into two cases. % 29.99/8.30 |-Branch one: % 29.99/8.30 | (580) all_0_56_56 = e2 % 29.99/8.30 | % 29.99/8.30 | Combining equations (1111,580) yields a new equation: % 29.99/8.30 | (452) e3 = e2 % 29.99/8.30 | % 29.99/8.30 | Simplifying 452 yields: % 29.99/8.30 | (453) e3 = e2 % 29.99/8.30 | % 29.99/8.30 | Equations (453) can reduce 223 to: % 29.99/8.30 | (303) $false % 29.99/8.30 | % 29.99/8.30 |-The branch is then unsatisfiable % 29.99/8.30 |-Branch two: % 29.99/8.30 | (594) ~ (all_0_56_56 = e2) % 29.99/8.30 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 29.99/8.30 | % 29.99/8.30 | Equations (1111) can reduce 594 to: % 29.99/8.30 | (223) ~ (e3 = e2) % 29.99/8.30 | % 29.99/8.30 +-Applying beta-rule and splitting (56), into two cases. % 29.99/8.30 |-Branch one: % 29.99/8.30 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 29.99/8.30 | % 29.99/8.30 +-Applying beta-rule and splitting (480), into two cases. % 29.99/8.30 |-Branch one: % 29.99/8.30 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 29.99/8.30 | % 29.99/8.30 +-Applying beta-rule and splitting (481), into two cases. % 29.99/8.30 |-Branch one: % 29.99/8.30 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 29.99/8.31 | % 29.99/8.31 +-Applying beta-rule and splitting (482), into two cases. % 29.99/8.31 |-Branch one: % 29.99/8.31 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 29.99/8.31 | % 29.99/8.31 | Applying alpha-rule on (483) yields: % 29.99/8.31 | (484) ~ (unit = e4) % 29.99/8.31 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 29.99/8.31 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 29.99/8.31 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 29.99/8.31 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 29.99/8.31 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 29.99/8.31 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 29.99/8.31 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 29.99/8.31 | (492) ~ (all_0_55_55 = e4) % 29.99/8.31 | (493) all_0_45_45 = e3 % 29.99/8.31 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 29.99/8.31 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 29.99/8.31 | % 29.99/8.31 | Combining equations (287,493) yields a new equation: % 29.99/8.31 | (497) e3 = e0 % 29.99/8.31 | % 29.99/8.31 | Equations (497) can reduce 70 to: % 29.99/8.31 | (303) $false % 29.99/8.31 | % 29.99/8.31 |-The branch is then unsatisfiable % 29.99/8.31 |-Branch two: % 29.99/8.31 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 29.99/8.31 | % 29.99/8.31 | Applying alpha-rule on (499) yields: % 29.99/8.31 | (500) ~ (all_0_51_51 = e1) % 29.99/8.31 | (501) ~ (all_0_60_60 = e1) % 29.99/8.31 | (502) ~ (all_0_52_52 = e1) % 29.99/8.31 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 29.99/8.31 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 29.99/8.31 | (252) all_0_46_46 = e2 % 29.99/8.31 | (506) ~ (all_0_49_49 = e1) % 29.99/8.31 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 29.99/8.31 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 29.99/8.31 | (509) ~ (all_0_53_53 = e1) % 29.99/8.31 | (510) ~ (unit = e1) % 29.99/8.31 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 29.99/8.31 | (512) ~ (all_0_44_44 = e1) % 29.99/8.31 | % 29.99/8.31 | Equations (368) can reduce 506 to: % 29.99/8.31 | (144) ~ (e2 = e1) % 29.99/8.31 | % 29.99/8.31 +-Applying beta-rule and splitting (916), into two cases. % 29.99/8.31 |-Branch one: % 29.99/8.31 | (302) all_0_47_47 = e2 % 29.99/8.31 | % 29.99/8.31 | Combining equations (302,309) yields a new equation: % 29.99/8.31 | (453) e3 = e2 % 29.99/8.31 | % 29.99/8.31 | Equations (453) can reduce 223 to: % 29.99/8.31 | (303) $false % 29.99/8.31 | % 29.99/8.31 |-The branch is then unsatisfiable % 29.99/8.31 |-Branch two: % 29.99/8.31 | (256) ~ (all_0_47_47 = e2) % 29.99/8.31 | (926) all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 29.99/8.31 | % 29.99/8.31 +-Applying beta-rule and splitting (926), into two cases. % 29.99/8.31 |-Branch one: % 29.99/8.31 | (927) all_0_51_51 = e2 % 29.99/8.31 | % 29.99/8.31 | Combining equations (388,927) yields a new equation: % 29.99/8.31 | (385) e2 = e0 % 29.99/8.31 | % 29.99/8.31 | Equations (385) can reduce 51 to: % 29.99/8.31 | (303) $false % 29.99/8.31 | % 29.99/8.31 |-The branch is then unsatisfiable % 29.99/8.31 |-Branch two: % 29.99/8.31 | (373) ~ (all_0_51_51 = e2) % 29.99/8.31 | (931) all_0_55_55 = e2 | all_0_60_60 = e2 % 29.99/8.31 | % 29.99/8.31 | Equations (388) can reduce 373 to: % 29.99/8.31 | (335) ~ (e2 = e0) % 29.99/8.31 | % 29.99/8.31 | Simplifying 335 yields: % 29.99/8.31 | (51) ~ (e2 = e0) % 29.99/8.31 | % 29.99/8.31 +-Applying beta-rule and splitting (896), into two cases. % 29.99/8.31 |-Branch one: % 29.99/8.31 | (897) all_0_57_57 = e2 % 29.99/8.31 | % 29.99/8.31 | Combining equations (407,897) yields a new equation: % 29.99/8.31 | (385) e2 = e0 % 29.99/8.31 | % 29.99/8.31 | Equations (385) can reduce 51 to: % 29.99/8.31 | (303) $false % 29.99/8.31 | % 29.99/8.31 |-The branch is then unsatisfiable % 29.99/8.31 |-Branch two: % 29.99/8.31 | (377) ~ (all_0_57_57 = e2) % 29.99/8.31 | (902) all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 29.99/8.31 | % 29.99/8.31 +-Applying beta-rule and splitting (902), into two cases. % 29.99/8.31 |-Branch one: % 29.99/8.31 | (340) all_0_58_58 = e2 % 29.99/8.31 | % 29.99/8.31 | Combining equations (344,340) yields a new equation: % 29.99/8.31 | (878) e4 = e2 % 29.99/8.31 | % 29.99/8.31 | Simplifying 878 yields: % 29.99/8.31 | (470) e4 = e2 % 29.99/8.31 | % 29.99/8.31 | Equations (470) can reduce 231 to: % 29.99/8.31 | (303) $false % 29.99/8.31 | % 29.99/8.31 |-The branch is then unsatisfiable % 29.99/8.31 |-Branch two: % 29.99/8.31 | (278) ~ (all_0_58_58 = e2) % 29.99/8.31 | (908) all_0_59_59 = e2 | all_0_60_60 = e2 % 29.99/8.31 | % 29.99/8.31 +-Applying beta-rule and splitting (908), into two cases. % 29.99/8.31 |-Branch one: % 29.99/8.31 | (909) all_0_59_59 = e2 % 29.99/8.31 | % 29.99/8.31 | Combining equations (600,909) yields a new equation: % 29.99/8.31 | (585) e2 = e1 % 29.99/8.31 | % 29.99/8.31 | Equations (585) can reduce 144 to: % 29.99/8.31 | (303) $false % 29.99/8.31 | % 29.99/8.31 |-The branch is then unsatisfiable % 29.99/8.31 |-Branch two: % 29.99/8.31 | (260) ~ (all_0_59_59 = e2) % 29.99/8.31 | (913) all_0_60_60 = e2 % 29.99/8.31 | % 29.99/8.31 | Equations (913) can reduce 571 to: % 29.99/8.31 | (303) $false % 29.99/8.31 | % 29.99/8.31 |-The branch is then unsatisfiable % 29.99/8.31 |-Branch two: % 29.99/8.31 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 29.99/8.31 | % 29.99/8.31 | Applying alpha-rule on (514) yields: % 29.99/8.31 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 29.99/8.31 | (516) ~ (all_0_47_47 = e3) % 29.99/8.31 | (314) ~ (all_0_55_55 = e3) % 29.99/8.31 | (368) all_0_49_49 = e2 % 29.99/8.31 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 29.99/8.31 | (520) ~ (unit = e3) % 29.99/8.31 | (521) ~ (all_0_52_52 = e3) % 29.99/8.31 | (455) ~ (all_0_46_46 = e3) % 29.99/8.31 | (432) ~ (all_0_40_40 = e3) % 29.99/8.31 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 29.99/8.31 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 29.99/8.31 | (526) ~ (all_0_56_56 = e3) % 29.99/8.31 | % 29.99/8.31 | Equations (1111) can reduce 526 to: % 29.99/8.31 | (303) $false % 29.99/8.31 | % 29.99/8.31 |-The branch is then unsatisfiable % 30.35/8.31 |-Branch two: % 30.35/8.31 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 30.35/8.31 | % 30.35/8.31 | Applying alpha-rule on (528) yields: % 30.35/8.31 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 30.35/8.31 | (530) all_0_55_55 = e1 % 30.35/8.31 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 30.35/8.31 | (387) ~ (all_0_49_49 = e0) % 30.35/8.31 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 30.35/8.31 | (534) ~ (all_0_45_45 = e0) % 30.35/8.31 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 30.35/8.31 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 30.35/8.31 | (537) ~ (unit = e0) % 30.35/8.31 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 30.35/8.31 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 30.35/8.31 | % 30.35/8.31 | Equations (287) can reduce 534 to: % 30.35/8.31 | (303) $false % 30.35/8.31 | % 30.35/8.31 |-The branch is then unsatisfiable % 30.35/8.31 |-Branch two: % 30.35/8.31 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 30.35/8.31 | % 30.35/8.31 | Applying alpha-rule on (543) yields: % 30.35/8.31 | (544) ~ (all_0_48_48 = e2) % 30.35/8.31 | (369) ~ (all_0_41_41 = e2) % 30.35/8.31 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 30.35/8.31 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 30.35/8.31 | (253) ~ (all_0_43_43 = e2) % 30.35/8.31 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 30.35/8.31 | (276) ~ (all_0_55_55 = e2) % 30.35/8.31 | (260) ~ (all_0_59_59 = e2) % 30.35/8.31 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 30.35/8.31 | (274) ~ (all_0_53_53 = e2) % 30.35/8.31 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 30.35/8.31 | (373) ~ (all_0_51_51 = e2) % 30.35/8.31 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 30.35/8.31 | (256) ~ (all_0_47_47 = e2) % 30.35/8.31 | (377) ~ (all_0_57_57 = e2) % 30.35/8.31 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 30.35/8.31 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 30.35/8.31 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 30.35/8.31 | (258) ~ (all_0_50_50 = e2) % 30.35/8.31 | (254) ~ (all_0_45_45 = e2) % 30.35/8.31 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 30.35/8.31 | % 30.35/8.31 | Equations (994) can reduce 274 to: % 30.35/8.31 | (223) ~ (e3 = e2) % 30.35/8.31 | % 30.35/8.31 | Equations (407) can reduce 377 to: % 30.35/8.31 | (335) ~ (e2 = e0) % 30.35/8.31 | % 30.35/8.31 | Simplifying 335 yields: % 30.35/8.31 | (51) ~ (e2 = e0) % 30.35/8.31 | % 30.35/8.31 | Equations (600) can reduce 260 to: % 30.35/8.31 | (565) ~ (e2 = e1) % 30.35/8.31 | % 30.35/8.31 | Simplifying 565 yields: % 30.35/8.31 | (144) ~ (e2 = e1) % 30.35/8.31 | % 30.35/8.31 +-Applying beta-rule and splitting (916), into two cases. % 30.35/8.31 |-Branch one: % 30.35/8.31 | (302) all_0_47_47 = e2 % 30.35/8.31 | % 30.35/8.31 | Combining equations (302,309) yields a new equation: % 30.35/8.31 | (453) e3 = e2 % 30.35/8.31 | % 30.35/8.31 | Equations (453) can reduce 223 to: % 30.35/8.31 | (303) $false % 30.35/8.31 | % 30.35/8.31 |-The branch is then unsatisfiable % 30.35/8.31 |-Branch two: % 30.35/8.31 | (256) ~ (all_0_47_47 = e2) % 30.35/8.31 | (926) all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 30.35/8.31 | % 30.35/8.31 +-Applying beta-rule and splitting (926), into two cases. % 30.35/8.31 |-Branch one: % 30.35/8.31 | (927) all_0_51_51 = e2 % 30.35/8.31 | % 30.35/8.31 | Combining equations (388,927) yields a new equation: % 30.35/8.31 | (385) e2 = e0 % 30.35/8.31 | % 30.35/8.31 | Equations (385) can reduce 51 to: % 30.35/8.31 | (303) $false % 30.35/8.31 | % 30.35/8.31 |-The branch is then unsatisfiable % 30.35/8.31 |-Branch two: % 30.35/8.31 | (373) ~ (all_0_51_51 = e2) % 30.35/8.31 | (931) all_0_55_55 = e2 | all_0_60_60 = e2 % 30.35/8.31 | % 30.35/8.31 +-Applying beta-rule and splitting (931), into two cases. % 30.35/8.31 |-Branch one: % 30.35/8.32 | (932) all_0_55_55 = e2 % 30.35/8.32 | % 30.35/8.32 | Combining equations (530,932) yields a new equation: % 30.35/8.32 | (585) e2 = e1 % 30.35/8.32 | % 30.35/8.32 | Equations (585) can reduce 144 to: % 30.35/8.32 | (303) $false % 30.35/8.32 | % 30.35/8.32 |-The branch is then unsatisfiable % 30.35/8.32 |-Branch two: % 30.35/8.32 | (276) ~ (all_0_55_55 = e2) % 30.35/8.32 | (913) all_0_60_60 = e2 % 30.35/8.32 | % 30.35/8.32 | Equations (913) can reduce 571 to: % 30.35/8.32 | (303) $false % 30.35/8.32 | % 30.35/8.32 |-The branch is then unsatisfiable % 30.35/8.32 |-Branch two: % 30.35/8.32 | (939) ~ (all_0_40_40 = e2) % 30.35/8.32 | (944) all_0_45_45 = e2 | all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 30.35/8.32 | % 30.35/8.32 +-Applying beta-rule and splitting (220), into two cases. % 30.35/8.32 |-Branch one: % 30.35/8.32 | (913) all_0_60_60 = e2 % 30.35/8.32 | % 30.35/8.32 | Equations (913) can reduce 350 to: % 30.35/8.32 | (261) ~ (e4 = e2) % 30.35/8.32 | % 30.35/8.32 | Simplifying 261 yields: % 30.35/8.32 | (231) ~ (e4 = e2) % 30.35/8.32 | % 30.35/8.32 | Equations (913) can reduce 316 to: % 30.35/8.32 | (577) ~ (e3 = e2) % 30.35/8.32 | % 30.35/8.32 | Simplifying 577 yields: % 30.35/8.32 | (223) ~ (e3 = e2) % 30.35/8.32 | % 30.35/8.32 | Equations (913) can reduce 501 to: % 30.35/8.32 | (144) ~ (e2 = e1) % 30.35/8.32 | % 30.35/8.32 | Equations (913) can reduce 414 to: % 30.35/8.32 | (51) ~ (e2 = e0) % 30.35/8.32 | % 30.35/8.32 +-Applying beta-rule and splitting (157), into two cases. % 30.35/8.32 |-Branch one: % 30.35/8.32 | (917) all_0_40_40 = e2 % 30.35/8.32 | % 30.35/8.32 | Equations (917) can reduce 939 to: % 30.35/8.32 | (303) $false % 30.35/8.32 | % 30.35/8.32 |-The branch is then unsatisfiable % 30.35/8.32 |-Branch two: % 30.35/8.32 | (939) ~ (all_0_40_40 = e2) % 30.35/8.32 | (940) all_0_41_41 = e2 | all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 30.35/8.32 | % 30.35/8.32 +-Applying beta-rule and splitting (940), into two cases. % 30.35/8.32 |-Branch one: % 30.35/8.32 | (945) all_0_41_41 = e2 % 30.35/8.32 | % 30.35/8.32 | Combining equations (945,696) yields a new equation: % 30.35/8.32 | (584) e2 = e1 % 30.35/8.32 | % 30.35/8.32 | Simplifying 584 yields: % 30.35/8.32 | (585) e2 = e1 % 30.35/8.32 | % 30.35/8.32 | Equations (585) can reduce 144 to: % 30.35/8.32 | (303) $false % 30.35/8.32 | % 30.35/8.32 |-The branch is then unsatisfiable % 30.35/8.32 |-Branch two: % 30.35/8.32 | (369) ~ (all_0_41_41 = e2) % 30.35/8.32 | (949) all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 30.35/8.32 | % 30.35/8.32 +-Applying beta-rule and splitting (949), into two cases. % 30.35/8.32 |-Branch one: % 30.35/8.32 | (959) all_0_42_42 = e2 % 30.35/8.32 | % 30.35/8.32 | Combining equations (959,324) yields a new equation: % 30.35/8.32 | (403) e2 = e0 % 30.35/8.32 | % 30.35/8.32 | Simplifying 403 yields: % 30.35/8.32 | (385) e2 = e0 % 30.35/8.32 | % 30.35/8.32 | Equations (385) can reduce 51 to: % 30.35/8.32 | (303) $false % 30.35/8.32 | % 30.35/8.32 |-The branch is then unsatisfiable % 30.35/8.32 |-Branch two: % 30.35/8.32 | (272) ~ (all_0_42_42 = e2) % 30.35/8.32 | (964) all_0_43_43 = e2 | all_0_44_44 = e2 % 30.35/8.32 | % 30.35/8.32 +-Applying beta-rule and splitting (964), into two cases. % 30.35/8.32 |-Branch one: % 30.35/8.32 | (965) all_0_43_43 = e2 % 30.35/8.32 | % 30.35/8.32 | Combining equations (447,965) yields a new equation: % 30.35/8.32 | (452) e3 = e2 % 30.35/8.32 | % 30.35/8.32 | Simplifying 452 yields: % 30.35/8.32 | (453) e3 = e2 % 30.35/8.32 | % 30.35/8.32 | Equations (453) can reduce 223 to: % 30.35/8.32 | (303) $false % 30.35/8.32 | % 30.35/8.32 |-The branch is then unsatisfiable % 30.35/8.32 |-Branch two: % 30.35/8.32 | (253) ~ (all_0_43_43 = e2) % 30.35/8.32 | (572) all_0_44_44 = e2 % 30.35/8.32 | % 30.35/8.32 | Combining equations (572,1096) yields a new equation: % 30.35/8.32 | (470) e4 = e2 % 30.35/8.32 | % 30.35/8.32 | Equations (470) can reduce 231 to: % 30.35/8.32 | (303) $false % 30.35/8.32 | % 30.35/8.32 |-The branch is then unsatisfiable % 30.35/8.32 |-Branch two: % 30.35/8.32 | (571) ~ (all_0_60_60 = e2) % 30.35/8.32 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 30.35/8.32 | % 30.35/8.32 +-Applying beta-rule and splitting (157), into two cases. % 30.35/8.32 |-Branch one: % 30.35/8.32 | (917) all_0_40_40 = e2 % 30.35/8.32 | % 30.35/8.32 | Equations (917) can reduce 939 to: % 30.35/8.32 | (303) $false % 30.35/8.32 | % 30.35/8.32 |-The branch is then unsatisfiable % 30.35/8.32 |-Branch two: % 30.35/8.32 | (939) ~ (all_0_40_40 = e2) % 30.35/8.32 | (940) all_0_41_41 = e2 | all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 30.35/8.32 | % 30.35/8.32 +-Applying beta-rule and splitting (112), into two cases. % 30.35/8.32 |-Branch one: % 30.35/8.32 | (572) all_0_44_44 = e2 % 30.35/8.32 | % 30.35/8.32 | Combining equations (572,1096) yields a new equation: % 30.35/8.32 | (470) e4 = e2 % 30.35/8.32 | % 30.35/8.32 | Equations (470) can reduce 231 to: % 30.35/8.32 | (303) $false % 30.35/8.32 | % 30.35/8.32 |-The branch is then unsatisfiable % 30.35/8.32 |-Branch two: % 30.35/8.32 | (915) ~ (all_0_44_44 = e2) % 30.35/8.32 | (916) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 30.35/8.32 | % 30.35/8.32 +-Applying beta-rule and splitting (61), into two cases. % 30.35/8.32 |-Branch one: % 30.35/8.32 | (580) all_0_56_56 = e2 % 30.35/8.32 | % 30.35/8.32 | Combining equations (580,1111) yields a new equation: % 30.35/8.32 | (453) e3 = e2 % 30.35/8.32 | % 30.35/8.32 | Equations (453) can reduce 223 to: % 30.35/8.32 | (303) $false % 30.35/8.32 | % 30.35/8.32 |-The branch is then unsatisfiable % 30.35/8.32 |-Branch two: % 30.35/8.32 | (594) ~ (all_0_56_56 = e2) % 30.35/8.32 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 30.35/8.32 | % 30.35/8.32 | Equations (1111) can reduce 594 to: % 30.35/8.32 | (223) ~ (e3 = e2) % 30.35/8.32 | % 30.35/8.32 +-Applying beta-rule and splitting (916), into two cases. % 30.35/8.32 |-Branch one: % 30.35/8.32 | (302) all_0_47_47 = e2 % 30.35/8.32 | % 30.35/8.32 | Combining equations (309,302) yields a new equation: % 30.35/8.32 | (452) e3 = e2 % 30.35/8.32 | % 30.35/8.32 | Simplifying 452 yields: % 30.35/8.32 | (453) e3 = e2 % 30.35/8.32 | % 30.35/8.32 | Equations (453) can reduce 223 to: % 30.35/8.32 | (303) $false % 30.35/8.32 | % 30.35/8.32 |-The branch is then unsatisfiable % 30.35/8.32 |-Branch two: % 30.35/8.32 | (256) ~ (all_0_47_47 = e2) % 30.35/8.32 | (926) all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 30.35/8.32 | % 30.35/8.32 +-Applying beta-rule and splitting (940), into two cases. % 30.35/8.32 |-Branch one: % 30.35/8.32 | (945) all_0_41_41 = e2 % 30.35/8.32 | % 30.35/8.32 | Combining equations (945,696) yields a new equation: % 30.35/8.32 | (584) e2 = e1 % 30.35/8.32 | % 30.35/8.32 | Simplifying 584 yields: % 30.35/8.32 | (585) e2 = e1 % 30.35/8.32 | % 30.35/8.32 | Equations (585) can reduce 144 to: % 30.35/8.32 | (303) $false % 30.35/8.32 | % 30.35/8.32 |-The branch is then unsatisfiable % 30.35/8.32 |-Branch two: % 30.35/8.32 | (369) ~ (all_0_41_41 = e2) % 30.35/8.32 | (949) all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 30.35/8.32 | % 30.35/8.32 | Equations (696) can reduce 369 to: % 30.35/8.32 | (565) ~ (e2 = e1) % 30.35/8.32 | % 30.35/8.32 | Simplifying 565 yields: % 30.35/8.32 | (144) ~ (e2 = e1) % 30.35/8.32 | % 30.35/8.32 +-Applying beta-rule and splitting (926), into two cases. % 30.35/8.32 |-Branch one: % 30.35/8.32 | (927) all_0_51_51 = e2 % 30.35/8.32 | % 30.35/8.32 | Combining equations (388,927) yields a new equation: % 30.35/8.32 | (385) e2 = e0 % 30.35/8.32 | % 30.35/8.32 | Equations (385) can reduce 51 to: % 30.35/8.32 | (303) $false % 30.35/8.32 | % 30.35/8.32 |-The branch is then unsatisfiable % 30.35/8.32 |-Branch two: % 30.35/8.32 | (373) ~ (all_0_51_51 = e2) % 30.35/8.32 | (931) all_0_55_55 = e2 | all_0_60_60 = e2 % 30.35/8.32 | % 30.35/8.32 +-Applying beta-rule and splitting (931), into two cases. % 30.35/8.32 |-Branch one: % 30.35/8.32 | (932) all_0_55_55 = e2 % 30.35/8.32 | % 30.35/8.32 | Combining equations (530,932) yields a new equation: % 30.35/8.32 | (585) e2 = e1 % 30.35/8.32 | % 30.35/8.32 | Equations (585) can reduce 144 to: % 30.35/8.32 | (303) $false % 30.35/8.32 | % 30.35/8.32 |-The branch is then unsatisfiable % 30.35/8.32 |-Branch two: % 30.35/8.32 | (276) ~ (all_0_55_55 = e2) % 30.35/8.32 | (913) all_0_60_60 = e2 % 30.35/8.32 | % 30.35/8.32 | Equations (913) can reduce 571 to: % 30.35/8.32 | (303) $false % 30.35/8.32 | % 30.35/8.32 |-The branch is then unsatisfiable % 30.35/8.32 |-Branch two: % 30.35/8.32 | (526) ~ (all_0_56_56 = e3) % 30.35/8.32 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 30.35/8.32 | % 30.35/8.32 +-Applying beta-rule and splitting (1110), into two cases. % 30.35/8.32 |-Branch one: % 30.35/8.32 | (425) all_0_52_52 = e3 % 30.35/8.32 | % 30.35/8.32 | Combining equations (442,425) yields a new equation: % 30.35/8.32 | (718) e4 = e3 % 30.35/8.32 | % 30.35/8.32 | Simplifying 718 yields: % 30.35/8.32 | (443) e4 = e3 % 30.35/8.32 | % 30.35/8.32 | Equations (443) can reduce 30 to: % 30.35/8.32 | (303) $false % 30.35/8.32 | % 30.35/8.32 |-The branch is then unsatisfiable % 30.35/8.32 |-Branch two: % 30.35/8.32 | (521) ~ (all_0_52_52 = e3) % 30.35/8.32 | (1111) all_0_56_56 = e3 % 30.35/8.32 | % 30.35/8.32 | Equations (1111) can reduce 526 to: % 30.35/8.32 | (303) $false % 30.35/8.32 | % 30.35/8.32 |-The branch is then unsatisfiable % 30.35/8.32 |-Branch two: % 30.35/8.32 | (474) ~ (all_0_44_44 = e4) % 30.35/8.32 | (1500) all_0_51_51 = e4 | all_0_55_55 = e4 | all_0_60_60 = e4 % 30.35/8.32 | % 30.35/8.32 +-Applying beta-rule and splitting (1500), into two cases. % 30.35/8.32 |-Branch one: % 30.35/8.32 | (1501) all_0_51_51 = e4 % 30.35/8.32 | % 30.35/8.32 | Combining equations (388,1501) yields a new equation: % 30.35/8.32 | (654) e4 = e0 % 30.35/8.32 | % 30.35/8.32 | Equations (654) can reduce 4 to: % 30.35/8.32 | (303) $false % 30.35/8.32 | % 30.35/8.32 |-The branch is then unsatisfiable % 30.35/8.32 |-Branch two: % 30.35/8.32 | (1504) ~ (all_0_51_51 = e4) % 30.35/8.32 | (1505) all_0_55_55 = e4 | all_0_60_60 = e4 % 30.35/8.32 | % 30.35/8.32 +-Applying beta-rule and splitting (1505), into two cases. % 30.35/8.32 |-Branch one: % 30.35/8.32 | (473) all_0_55_55 = e4 % 30.35/8.32 | % 30.35/8.32 | Combining equations (530,473) yields a new equation: % 30.35/8.32 | (541) e4 = e1 % 30.35/8.32 | % 30.35/8.32 | Equations (541) can reduce 247 to: % 30.35/8.32 | (303) $false % 30.35/8.32 | % 30.35/8.32 |-The branch is then unsatisfiable % 30.35/8.32 |-Branch two: % 30.35/8.32 | (492) ~ (all_0_55_55 = e4) % 30.35/8.32 | (1510) all_0_60_60 = e4 % 30.35/8.32 | % 30.35/8.32 | Equations (1510) can reduce 350 to: % 30.35/8.32 | (303) $false % 30.35/8.32 | % 30.35/8.32 |-The branch is then unsatisfiable % 30.35/8.32 |-Branch two: % 30.35/8.32 | (445) ~ (all_0_52_52 = e4) % 30.35/8.32 | (446) all_0_54_54 = e4 | all_0_55_55 = e4 % 30.35/8.32 | % 30.35/8.32 +-Applying beta-rule and splitting (196), into two cases. % 30.35/8.32 |-Branch one: % 30.35/8.32 | (723) all_0_40_40 = e4 % 30.35/8.32 | % 30.35/8.32 | Equations (723) can reduce 683 to: % 30.35/8.32 | (247) ~ (e4 = e1) % 30.35/8.32 | % 30.35/8.32 +-Applying beta-rule and splitting (446), into two cases. % 30.35/8.32 |-Branch one: % 30.35/8.32 | (469) all_0_54_54 = e4 % 30.35/8.32 | % 30.35/8.32 | Combining equations (271,469) yields a new equation: % 30.35/8.32 | (470) e4 = e2 % 30.35/8.32 | % 30.35/8.32 | Equations (470) can reduce 231 to: % 30.35/8.32 | (303) $false % 30.35/8.32 | % 30.35/8.32 |-The branch is then unsatisfiable % 30.35/8.32 |-Branch two: % 30.35/8.32 | (472) ~ (all_0_54_54 = e4) % 30.35/8.32 | (473) all_0_55_55 = e4 % 30.35/8.32 | % 30.35/8.32 | Combining equations (530,473) yields a new equation: % 30.35/8.32 | (541) e4 = e1 % 30.35/8.32 | % 30.35/8.32 | Equations (541) can reduce 247 to: % 30.35/8.32 | (303) $false % 30.35/8.32 | % 30.35/8.32 |-The branch is then unsatisfiable % 30.35/8.32 |-Branch two: % 30.35/8.32 | (844) ~ (all_0_40_40 = e4) % 30.35/8.32 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 30.35/8.32 | % 30.35/8.32 +-Applying beta-rule and splitting (241), into two cases. % 30.35/8.32 |-Branch one: % 30.35/8.32 | (1096) all_0_44_44 = e4 % 30.35/8.32 | % 30.35/8.32 | Equations (1096) can reduce 512 to: % 30.35/8.32 | (247) ~ (e4 = e1) % 30.35/8.32 | % 30.35/8.32 +-Applying beta-rule and splitting (145), into two cases. % 30.35/8.32 |-Branch one: % 30.35/8.32 | (1102) all_0_40_40 = e3 % 30.35/8.32 | % 30.35/8.32 | Equations (1102) can reduce 432 to: % 30.35/8.32 | (303) $false % 30.35/8.32 | % 30.35/8.32 |-The branch is then unsatisfiable % 30.35/8.32 |-Branch two: % 30.35/8.32 | (432) ~ (all_0_40_40 = e3) % 30.35/8.32 | (1105) all_0_45_45 = e3 | all_0_52_52 = e3 | all_0_56_56 = e3 % 30.35/8.32 | % 30.35/8.32 +-Applying beta-rule and splitting (209), into two cases. % 30.35/8.32 |-Branch one: % 30.35/8.32 | (1111) all_0_56_56 = e3 % 30.35/8.32 | % 30.35/8.32 | Equations (1111) can reduce 345 to: % 30.35/8.32 | (439) ~ (e4 = e3) % 30.35/8.32 | % 30.35/8.32 | Simplifying 439 yields: % 30.35/8.32 | (30) ~ (e4 = e3) % 30.35/8.32 | % 30.35/8.32 +-Applying beta-rule and splitting (845), into two cases. % 30.35/8.32 |-Branch one: % 30.35/8.32 | (609) all_0_48_48 = e4 % 30.35/8.32 | % 30.35/8.32 | Combining equations (609,748) yields a new equation: % 30.35/8.32 | (540) e4 = e1 % 30.35/8.32 | % 30.35/8.32 | Simplifying 540 yields: % 30.35/8.32 | (541) e4 = e1 % 30.35/8.32 | % 30.35/8.32 | Equations (541) can reduce 247 to: % 30.35/8.32 | (303) $false % 30.35/8.32 | % 30.35/8.32 |-The branch is then unsatisfiable % 30.35/8.32 |-Branch two: % 30.35/8.32 | (721) ~ (all_0_48_48 = e4) % 30.35/8.32 | (871) all_0_52_52 = e4 | all_0_56_56 = e4 % 30.35/8.32 | % 30.35/8.32 +-Applying beta-rule and splitting (871), into two cases. % 30.35/8.32 |-Branch one: % 30.35/8.32 | (442) all_0_52_52 = e4 % 30.35/8.33 | % 30.35/8.33 | Equations (442) can reduce 445 to: % 30.35/8.33 | (303) $false % 30.35/8.33 | % 30.35/8.33 |-The branch is then unsatisfiable % 30.35/8.33 |-Branch two: % 30.35/8.33 | (445) ~ (all_0_52_52 = e4) % 30.35/8.33 | (877) all_0_56_56 = e4 % 30.35/8.33 | % 30.35/8.33 | Combining equations (1111,877) yields a new equation: % 30.35/8.33 | (443) e4 = e3 % 30.35/8.33 | % 30.35/8.33 | Equations (443) can reduce 30 to: % 30.35/8.33 | (303) $false % 30.35/8.33 | % 30.35/8.33 |-The branch is then unsatisfiable % 30.35/8.33 |-Branch two: % 30.35/8.33 | (526) ~ (all_0_56_56 = e3) % 30.35/8.33 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 30.35/8.33 | % 30.35/8.33 +-Applying beta-rule and splitting (1105), into two cases. % 30.35/8.33 |-Branch one: % 30.35/8.33 | (493) all_0_45_45 = e3 % 30.35/8.33 | % 30.35/8.33 | Combining equations (287,493) yields a new equation: % 30.35/8.33 | (497) e3 = e0 % 30.35/8.33 | % 30.35/8.33 | Equations (497) can reduce 70 to: % 30.35/8.33 | (303) $false % 30.35/8.33 | % 30.35/8.33 |-The branch is then unsatisfiable % 30.35/8.33 |-Branch two: % 30.35/8.33 | (1109) ~ (all_0_45_45 = e3) % 30.35/8.33 | (1110) all_0_52_52 = e3 | all_0_56_56 = e3 % 30.35/8.33 | % 30.35/8.33 +-Applying beta-rule and splitting (1110), into two cases. % 30.35/8.33 |-Branch one: % 30.35/8.33 | (425) all_0_52_52 = e3 % 30.35/8.33 | % 30.35/8.33 | Equations (425) can reduce 521 to: % 30.35/8.33 | (303) $false % 30.35/8.33 | % 30.35/8.33 |-The branch is then unsatisfiable % 30.35/8.33 |-Branch two: % 30.35/8.33 | (521) ~ (all_0_52_52 = e3) % 30.35/8.33 | (1111) all_0_56_56 = e3 % 30.35/8.33 | % 30.35/8.33 | Equations (1111) can reduce 526 to: % 30.35/8.33 | (303) $false % 30.35/8.33 | % 30.35/8.33 |-The branch is then unsatisfiable % 30.35/8.33 |-Branch two: % 30.35/8.33 | (474) ~ (all_0_44_44 = e4) % 30.35/8.33 | (1500) all_0_51_51 = e4 | all_0_55_55 = e4 | all_0_60_60 = e4 % 30.35/8.33 | % 30.35/8.33 +-Applying beta-rule and splitting (1500), into two cases. % 30.35/8.33 |-Branch one: % 30.35/8.33 | (1501) all_0_51_51 = e4 % 30.35/8.33 | % 30.35/8.33 | Combining equations (388,1501) yields a new equation: % 30.35/8.33 | (654) e4 = e0 % 30.35/8.33 | % 30.35/8.33 | Equations (654) can reduce 4 to: % 30.35/8.33 | (303) $false % 30.35/8.33 | % 30.35/8.33 |-The branch is then unsatisfiable % 30.35/8.33 |-Branch two: % 30.35/8.33 | (1504) ~ (all_0_51_51 = e4) % 30.35/8.33 | (1505) all_0_55_55 = e4 | all_0_60_60 = e4 % 30.35/8.33 | % 30.35/8.33 +-Applying beta-rule and splitting (1505), into two cases. % 30.35/8.33 |-Branch one: % 30.35/8.33 | (473) all_0_55_55 = e4 % 30.35/8.33 | % 30.35/8.33 | Combining equations (530,473) yields a new equation: % 30.35/8.33 | (541) e4 = e1 % 30.35/8.33 | % 30.35/8.33 | Equations (541) can reduce 247 to: % 30.35/8.33 | (303) $false % 30.35/8.33 | % 30.35/8.33 |-The branch is then unsatisfiable % 30.35/8.33 |-Branch two: % 30.35/8.33 | (492) ~ (all_0_55_55 = e4) % 30.35/8.33 | (1510) all_0_60_60 = e4 % 30.35/8.33 | % 30.35/8.33 | Equations (1510) can reduce 350 to: % 30.35/8.33 | (303) $false % 30.35/8.33 | % 30.35/8.33 |-The branch is then unsatisfiable % 30.35/8.33 |-Branch two: % 30.35/8.33 | (611) ~ (all_0_50_50 = e4) % 30.35/8.33 | (1501) all_0_51_51 = e4 % 30.35/8.33 | % 30.35/8.33 | Combining equations (1501,388) yields a new equation: % 30.35/8.33 | (1573) e4 = e0 % 30.35/8.33 | % 30.35/8.33 | Simplifying 1573 yields: % 30.35/8.33 | (654) e4 = e0 % 30.35/8.33 | % 30.35/8.33 | Equations (654) can reduce 4 to: % 30.35/8.33 | (303) $false % 30.35/8.33 | % 30.35/8.33 |-The branch is then unsatisfiable % 30.35/8.33 |-Branch two: % 30.35/8.33 | (802) ~ (all_0_48_48 = e1) % 30.35/8.33 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 30.35/8.33 | % 30.35/8.33 +-Applying beta-rule and splitting (713), into two cases. % 30.35/8.33 |-Branch one: % 30.35/8.33 | (714) all_0_50_50 = e4 % 30.35/8.33 | % 30.35/8.33 | Equations (714) can reduce 678 to: % 30.35/8.33 | (247) ~ (e4 = e1) % 30.35/8.33 | % 30.35/8.33 +-Applying beta-rule and splitting (803), into two cases. % 30.35/8.33 |-Branch one: % 30.35/8.33 | (1580) all_0_49_49 = e1 % 30.35/8.33 | % 30.35/8.33 | Combining equations (368,1580) yields a new equation: % 30.35/8.33 | (584) e2 = e1 % 30.35/8.33 | % 30.35/8.33 | Simplifying 584 yields: % 30.35/8.33 | (585) e2 = e1 % 30.35/8.33 | % 30.35/8.33 | Equations (585) can reduce 144 to: % 30.35/8.33 | (303) $false % 30.35/8.33 | % 30.35/8.33 |-The branch is then unsatisfiable % 30.35/8.33 |-Branch two: % 30.35/8.33 | (506) ~ (all_0_49_49 = e1) % 30.35/8.33 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 30.35/8.33 | % 30.35/8.33 +-Applying beta-rule and splitting (27), into two cases. % 30.35/8.33 |-Branch one: % 30.35/8.33 | (705) all_0_44_44 = e1 % 30.35/8.33 | % 30.35/8.33 | Equations (705) can reduce 512 to: % 30.35/8.33 | (303) $false % 30.35/8.33 | % 30.35/8.33 |-The branch is then unsatisfiable % 30.35/8.33 |-Branch two: % 30.35/8.33 | (512) ~ (all_0_44_44 = e1) % 30.35/8.33 | (1589) all_0_51_51 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1 % 30.35/8.33 | % 30.35/8.33 +-Applying beta-rule and splitting (1589), into two cases. % 30.35/8.33 |-Branch one: % 30.35/8.33 | (1590) all_0_51_51 = e1 % 30.35/8.33 | % 30.35/8.33 | Combining equations (388,1590) yields a new equation: % 30.35/8.33 | (590) e1 = e0 % 30.35/8.33 | % 30.35/8.33 | Equations (590) can reduce 134 to: % 30.35/8.33 | (303) $false % 30.35/8.33 | % 30.35/8.33 |-The branch is then unsatisfiable % 30.35/8.33 |-Branch two: % 30.35/8.33 | (500) ~ (all_0_51_51 = e1) % 30.35/8.33 | (1594) all_0_55_55 = e1 | all_0_60_60 = e1 % 30.35/8.33 | % 30.35/8.33 +-Applying beta-rule and splitting (1594), into two cases. % 30.35/8.33 |-Branch one: % 30.35/8.33 | (530) all_0_55_55 = e1 % 30.35/8.33 | % 30.35/8.33 | Equations (530) can reduce 93 to: % 30.35/8.33 | (134) ~ (e1 = e0) % 30.35/8.33 | % 30.35/8.33 +-Applying beta-rule and splitting (1585), into two cases. % 30.35/8.33 |-Branch one: % 30.35/8.33 | (627) all_0_50_50 = e1 % 30.35/8.33 | % 30.35/8.33 | Combining equations (627,714) yields a new equation: % 30.35/8.33 | (541) e4 = e1 % 30.35/8.33 | % 30.35/8.33 | Equations (541) can reduce 247 to: % 30.35/8.33 | (303) $false % 30.35/8.33 | % 30.35/8.33 |-The branch is then unsatisfiable % 30.35/8.33 |-Branch two: % 30.35/8.33 | (678) ~ (all_0_50_50 = e1) % 30.35/8.33 | (1590) all_0_51_51 = e1 % 30.35/8.33 | % 30.35/8.33 | Combining equations (388,1590) yields a new equation: % 30.35/8.33 | (590) e1 = e0 % 30.35/8.33 | % 30.35/8.33 | Equations (590) can reduce 134 to: % 30.35/8.33 | (303) $false % 30.35/8.33 | % 30.35/8.33 |-The branch is then unsatisfiable % 30.35/8.33 |-Branch two: % 30.35/8.33 | (464) ~ (all_0_55_55 = e1) % 30.35/8.33 | (604) all_0_60_60 = e1 % 30.35/8.33 | % 30.35/8.33 | Equations (604) can reduce 501 to: % 30.35/8.33 | (303) $false % 30.35/8.33 | % 30.35/8.33 |-The branch is then unsatisfiable % 30.35/8.33 |-Branch two: % 30.35/8.33 | (611) ~ (all_0_50_50 = e4) % 30.35/8.33 | (717) all_0_59_59 = e4 % 30.35/8.33 | % 30.35/8.33 | Combining equations (717,600) yields a new equation: % 30.35/8.33 | (540) e4 = e1 % 30.35/8.33 | % 30.35/8.33 | Simplifying 540 yields: % 30.35/8.33 | (541) e4 = e1 % 30.35/8.33 | % 30.35/8.33 | Equations (541) can reduce 247 to: % 30.35/8.33 | (303) $false % 30.35/8.33 | % 30.35/8.33 |-The branch is then unsatisfiable % 30.35/8.33 |-Branch two: % 30.35/8.33 | (603) ~ (all_0_59_59 = e1) % 30.35/8.33 | (456) all_0_59_59 = e3 % 30.35/8.33 | % 30.35/8.33 | Equations (456) can reduce 1031 to: % 30.35/8.33 | (303) $false % 30.35/8.33 | % 30.35/8.33 |-The branch is then unsatisfiable % 30.35/8.33 |-Branch two: % 30.35/8.33 | (434) ~ (all_0_43_43 = e3) % 30.35/8.33 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 30.35/8.33 | % 30.35/8.33 +-Applying beta-rule and splitting (450), into two cases. % 30.35/8.33 |-Branch one: % 30.35/8.33 | (451) all_0_46_46 = e3 % 30.35/8.33 | % 30.35/8.33 | Combining equations (451,252) yields a new equation: % 30.35/8.33 | (452) e3 = e2 % 30.35/8.33 | % 30.35/8.33 | Simplifying 452 yields: % 30.35/8.33 | (453) e3 = e2 % 30.35/8.33 | % 30.35/8.33 | Equations (453) can reduce 223 to: % 30.35/8.33 | (303) $false % 30.35/8.33 | % 30.35/8.33 |-The branch is then unsatisfiable % 30.35/8.33 |-Branch two: % 30.35/8.33 | (455) ~ (all_0_46_46 = e3) % 30.35/8.33 | (456) all_0_59_59 = e3 % 30.35/8.33 | % 30.35/8.33 | Equations (456) can reduce 249 to: % 30.35/8.33 | (434) ~ (all_0_43_43 = e3) % 30.35/8.33 | % 30.35/8.33 | Equations (456) can reduce 42 to: % 30.35/8.33 | (526) ~ (all_0_56_56 = e3) % 30.35/8.33 | % 30.35/8.33 | Equations (456) can reduce 164 to: % 30.35/8.33 | (315) ~ (all_0_60_60 = e3) % 30.35/8.33 | % 30.35/8.33 | Simplifying 315 yields: % 30.35/8.33 | (316) ~ (all_0_60_60 = e3) % 30.35/8.33 | % 30.35/8.33 | Equations (456) can reduce 348 to: % 30.35/8.33 | (439) ~ (e4 = e3) % 30.35/8.33 | % 30.35/8.33 | Simplifying 439 yields: % 30.35/8.33 | (30) ~ (e4 = e3) % 30.35/8.33 | % 30.35/8.33 | Equations (456) can reduce 216 to: % 30.35/8.33 | (70) ~ (e3 = e0) % 30.35/8.33 | % 30.35/8.33 | From (456) and (90) follows: % 30.35/8.33 | (461) op(e0, e1) = e3 % 30.35/8.33 | % 30.35/8.33 +-Applying beta-rule and splitting (191), into two cases. % 30.35/8.33 |-Branch one: % 30.35/8.33 | (965) all_0_43_43 = e2 % 30.35/8.33 | % 30.35/8.33 | Equations (965) can reduce 253 to: % 30.35/8.33 | (303) $false % 30.35/8.33 | % 30.35/8.33 |-The branch is then unsatisfiable % 30.35/8.33 |-Branch two: % 30.35/8.33 | (253) ~ (all_0_43_43 = e2) % 30.35/8.33 | (1634) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e1 % 30.35/8.33 | % 30.35/8.33 +-Applying beta-rule and splitting (56), into two cases. % 30.35/8.33 |-Branch one: % 30.35/8.33 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 30.35/8.33 | % 30.35/8.33 +-Applying beta-rule and splitting (480), into two cases. % 30.35/8.33 |-Branch one: % 30.35/8.33 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 30.35/8.33 | % 30.35/8.33 +-Applying beta-rule and splitting (481), into two cases. % 30.35/8.33 |-Branch one: % 30.35/8.33 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 30.35/8.34 | % 30.35/8.34 +-Applying beta-rule and splitting (482), into two cases. % 30.35/8.34 |-Branch one: % 30.35/8.34 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 30.35/8.34 | % 30.35/8.34 | Applying alpha-rule on (483) yields: % 30.35/8.34 | (484) ~ (unit = e4) % 30.35/8.34 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 30.35/8.34 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 30.35/8.34 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 30.35/8.34 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 30.35/8.34 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 30.35/8.34 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 30.35/8.34 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 30.35/8.34 | (492) ~ (all_0_55_55 = e4) % 30.35/8.34 | (493) all_0_45_45 = e3 % 30.35/8.34 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 30.35/8.34 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 30.35/8.34 | % 30.35/8.34 | Combining equations (493,287) yields a new equation: % 30.35/8.34 | (496) e3 = e0 % 30.35/8.34 | % 30.35/8.34 | Simplifying 496 yields: % 30.35/8.34 | (497) e3 = e0 % 30.35/8.34 | % 30.35/8.34 | Equations (497) can reduce 70 to: % 30.35/8.34 | (303) $false % 30.35/8.34 | % 30.35/8.34 |-The branch is then unsatisfiable % 30.35/8.34 |-Branch two: % 30.35/8.34 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 30.35/8.34 | % 30.35/8.34 | Applying alpha-rule on (499) yields: % 30.35/8.34 | (500) ~ (all_0_51_51 = e1) % 30.35/8.34 | (501) ~ (all_0_60_60 = e1) % 30.35/8.34 | (502) ~ (all_0_52_52 = e1) % 30.35/8.34 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 30.35/8.34 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 30.35/8.34 | (252) all_0_46_46 = e2 % 30.35/8.34 | (506) ~ (all_0_49_49 = e1) % 30.35/8.34 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 30.35/8.34 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 30.35/8.34 | (509) ~ (all_0_53_53 = e1) % 30.35/8.34 | (510) ~ (unit = e1) % 30.35/8.34 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 30.35/8.34 | (512) ~ (all_0_44_44 = e1) % 30.35/8.34 | % 30.35/8.34 +-Applying beta-rule and splitting (507), into two cases. % 30.35/8.34 |-Branch one: % 30.35/8.34 | (699) ~ (all_0_41_41 = e1) % 30.35/8.34 | % 30.35/8.34 | Equations (696) can reduce 699 to: % 30.35/8.34 | (303) $false % 30.35/8.34 | % 30.35/8.34 |-The branch is then unsatisfiable % 30.35/8.34 |-Branch two: % 30.35/8.34 | (696) all_0_41_41 = e1 % 30.35/8.34 | (447) all_0_43_43 = e3 % 30.35/8.34 | % 30.35/8.34 | Equations (447) can reduce 434 to: % 30.35/8.34 | (303) $false % 30.35/8.34 | % 30.35/8.34 |-The branch is then unsatisfiable % 30.35/8.34 |-Branch two: % 30.35/8.34 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 30.35/8.34 | % 30.35/8.34 | Applying alpha-rule on (514) yields: % 30.35/8.34 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 30.35/8.34 | (516) ~ (all_0_47_47 = e3) % 30.35/8.34 | (314) ~ (all_0_55_55 = e3) % 30.35/8.34 | (368) all_0_49_49 = e2 % 30.35/8.34 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 30.35/8.34 | (520) ~ (unit = e3) % 30.35/8.34 | (521) ~ (all_0_52_52 = e3) % 30.35/8.34 | (455) ~ (all_0_46_46 = e3) % 30.35/8.34 | (432) ~ (all_0_40_40 = e3) % 30.35/8.34 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 30.35/8.34 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 30.35/8.34 | (526) ~ (all_0_56_56 = e3) % 30.35/8.34 | % 30.35/8.34 | Equations (309) can reduce 516 to: % 30.35/8.34 | (303) $false % 30.35/8.34 | % 30.35/8.34 |-The branch is then unsatisfiable % 30.35/8.34 |-Branch two: % 30.35/8.34 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 30.35/8.34 | % 30.35/8.34 | Applying alpha-rule on (528) yields: % 30.35/8.34 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 30.35/8.34 | (530) all_0_55_55 = e1 % 30.35/8.34 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 30.35/8.34 | (387) ~ (all_0_49_49 = e0) % 30.35/8.34 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 30.35/8.34 | (534) ~ (all_0_45_45 = e0) % 30.35/8.34 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 30.35/8.34 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 30.35/8.34 | (537) ~ (unit = e0) % 30.35/8.34 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 30.35/8.34 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 30.35/8.34 | % 30.35/8.34 | Equations (287) can reduce 534 to: % 30.35/8.34 | (303) $false % 30.35/8.34 | % 30.35/8.34 |-The branch is then unsatisfiable % 30.35/8.34 |-Branch two: % 30.35/8.34 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 30.35/8.34 | % 30.35/8.34 | Applying alpha-rule on (543) yields: % 30.35/8.34 | (544) ~ (all_0_48_48 = e2) % 30.35/8.34 | (369) ~ (all_0_41_41 = e2) % 30.35/8.34 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 30.35/8.34 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 30.35/8.34 | (253) ~ (all_0_43_43 = e2) % 30.35/8.34 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 30.35/8.34 | (276) ~ (all_0_55_55 = e2) % 30.35/8.34 | (260) ~ (all_0_59_59 = e2) % 30.35/8.34 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 30.35/8.34 | (274) ~ (all_0_53_53 = e2) % 30.35/8.34 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 30.35/8.34 | (373) ~ (all_0_51_51 = e2) % 30.35/8.34 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 30.35/8.34 | (256) ~ (all_0_47_47 = e2) % 30.35/8.34 | (377) ~ (all_0_57_57 = e2) % 30.35/8.34 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 30.35/8.34 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 30.35/8.34 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 30.35/8.34 | (258) ~ (all_0_50_50 = e2) % 30.35/8.34 | (254) ~ (all_0_45_45 = e2) % 30.35/8.34 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 30.35/8.34 | % 30.35/8.34 +-Applying beta-rule and splitting (200), into two cases. % 30.35/8.34 |-Branch one: % 30.35/8.34 | (1102) all_0_40_40 = e3 % 30.35/8.34 | % 30.35/8.34 | Equations (1102) can reduce 124 to: % 30.35/8.34 | (435) ~ (all_0_44_44 = e3) % 30.35/8.34 | % 30.35/8.34 | Simplifying 435 yields: % 30.35/8.34 | (310) ~ (all_0_44_44 = e3) % 30.35/8.34 | % 30.35/8.34 | Equations (1102) can reduce 53 to: % 30.35/8.34 | (1725) ~ (all_0_48_48 = e3) % 30.35/8.34 | % 30.35/8.34 | Simplifying 1725 yields: % 30.35/8.34 | (34) ~ (all_0_48_48 = e3) % 30.35/8.34 | % 30.35/8.34 | Equations (1102) can reduce 188 to: % 30.35/8.34 | (1727) ~ (all_0_52_52 = e3) % 30.35/8.34 | % 30.35/8.34 | Simplifying 1727 yields: % 30.35/8.34 | (521) ~ (all_0_52_52 = e3) % 30.35/8.34 | % 30.35/8.34 | Equations (1102) can reduce 683 to: % 30.35/8.34 | (136) ~ (e3 = e1) % 30.35/8.34 | % 30.35/8.34 | From (1102) and (168) follows: % 30.35/8.34 | (1730) op(e4, e4) = e3 % 30.35/8.34 | % 30.35/8.34 +-Applying beta-rule and splitting (100), into two cases. % 30.35/8.34 |-Branch one: % 30.35/8.34 | (618) all_0_43_43 = e1 % 30.35/8.34 | % 30.35/8.34 | Equations (618) can reduce 622 to: % 30.35/8.34 | (303) $false % 30.35/8.34 | % 30.35/8.34 |-The branch is then unsatisfiable % 30.35/8.34 |-Branch two: % 30.35/8.34 | (622) ~ (all_0_43_43 = e1) % 30.35/8.34 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 30.35/8.34 | % 30.35/8.34 +-Applying beta-rule and splitting (1634), into two cases. % 30.35/8.34 |-Branch one: % 30.35/8.34 | (614) all_0_43_43 = e4 % 30.35/8.34 | % 30.35/8.34 | Equations (614) can reduce 82 to: % 30.35/8.34 | (1736) ~ (all_0_44_44 = e4) % 30.35/8.34 | % 30.35/8.34 | Simplifying 1736 yields: % 30.35/8.34 | (474) ~ (all_0_44_44 = e4) % 30.35/8.34 | % 30.35/8.34 | Equations (614) can reduce 622 to: % 30.35/8.34 | (247) ~ (e4 = e1) % 30.35/8.34 | % 30.35/8.34 +-Applying beta-rule and splitting (112), into two cases. % 30.35/8.34 |-Branch one: % 30.35/8.34 | (572) all_0_44_44 = e2 % 30.35/8.34 | % 30.35/8.34 | Equations (572) can reduce 59 to: % 30.35/8.34 | (275) ~ (all_0_55_55 = e2) % 30.35/8.34 | % 30.35/8.34 | Simplifying 275 yields: % 30.35/8.34 | (276) ~ (all_0_55_55 = e2) % 30.35/8.34 | % 30.35/8.34 | Equations (572) can reduce 165 to: % 30.35/8.34 | (573) ~ (all_0_60_60 = e2) % 30.35/8.34 | % 30.35/8.34 | Simplifying 573 yields: % 30.35/8.34 | (571) ~ (all_0_60_60 = e2) % 30.35/8.34 | % 30.35/8.34 | Equations (572) can reduce 474 to: % 30.35/8.34 | (261) ~ (e4 = e2) % 30.35/8.34 | % 30.35/8.34 | Simplifying 261 yields: % 30.35/8.34 | (231) ~ (e4 = e2) % 30.35/8.34 | % 30.35/8.34 | Equations (572) can reduce 310 to: % 30.35/8.34 | (577) ~ (e3 = e2) % 30.35/8.34 | % 30.35/8.34 | Simplifying 577 yields: % 30.35/8.34 | (223) ~ (e3 = e2) % 30.35/8.34 | % 30.35/8.34 | Equations (572) can reduce 512 to: % 30.35/8.34 | (144) ~ (e2 = e1) % 30.35/8.34 | % 30.35/8.34 | Equations (572) can reduce 330 to: % 30.35/8.34 | (51) ~ (e2 = e0) % 30.35/8.34 | % 30.35/8.34 +-Applying beta-rule and splitting (234), into two cases. % 30.35/8.34 |-Branch one: % 30.35/8.34 | (609) all_0_48_48 = e4 % 30.35/8.34 | % 30.35/8.34 | Equations (609) can reduce 108 to: % 30.35/8.34 | (1751) ~ (all_0_52_52 = e4) % 30.35/8.34 | % 30.35/8.34 | Simplifying 1751 yields: % 30.35/8.34 | (445) ~ (all_0_52_52 = e4) % 30.35/8.34 | % 30.35/8.34 | Equations (609) can reduce 544 to: % 30.35/8.34 | (231) ~ (e4 = e2) % 30.35/8.34 | % 30.35/8.34 | Equations (609) can reduce 292 to: % 30.35/8.34 | (4) ~ (e4 = e0) % 30.35/8.34 | % 30.35/8.34 | From (609) and (105) follows: % 30.35/8.34 | (613) op(e2, e4) = e4 % 30.35/8.34 | % 30.35/8.34 +-Applying beta-rule and splitting (6), into two cases. % 30.35/8.34 |-Branch one: % 30.35/8.34 | (442) all_0_52_52 = e4 % 30.35/8.34 | % 30.35/8.34 | Equations (442) can reduce 445 to: % 30.35/8.34 | (303) $false % 30.35/8.34 | % 30.35/8.34 |-The branch is then unsatisfiable % 30.35/8.34 |-Branch two: % 30.35/8.34 | (445) ~ (all_0_52_52 = e4) % 30.35/8.34 | (446) all_0_54_54 = e4 | all_0_55_55 = e4 % 30.35/8.34 | % 30.35/8.34 +-Applying beta-rule and splitting (241), into two cases. % 30.35/8.34 |-Branch one: % 30.35/8.35 | (1096) all_0_44_44 = e4 % 30.35/8.35 | % 30.35/8.35 | Combining equations (572,1096) yields a new equation: % 30.35/8.35 | (470) e4 = e2 % 30.35/8.35 | % 30.35/8.35 | Equations (470) can reduce 231 to: % 30.35/8.35 | (303) $false % 30.35/8.35 | % 30.35/8.35 |-The branch is then unsatisfiable % 30.35/8.35 |-Branch two: % 30.35/8.35 | (474) ~ (all_0_44_44 = e4) % 30.35/8.35 | (1500) all_0_51_51 = e4 | all_0_55_55 = e4 | all_0_60_60 = e4 % 30.35/8.35 | % 30.35/8.35 +-Applying beta-rule and splitting (220), into two cases. % 30.35/8.35 |-Branch one: % 30.35/8.35 | (913) all_0_60_60 = e2 % 30.35/8.35 | % 30.35/8.35 | Equations (913) can reduce 571 to: % 30.35/8.35 | (303) $false % 30.35/8.35 | % 30.35/8.35 |-The branch is then unsatisfiable % 30.35/8.35 |-Branch two: % 30.35/8.35 | (571) ~ (all_0_60_60 = e2) % 30.35/8.35 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 30.35/8.35 | % 30.35/8.35 +-Applying beta-rule and splitting (24), into two cases. % 30.35/8.35 |-Branch one: % 30.35/8.35 | (980) all_0_52_52 = e2 % 30.35/8.35 | % 30.35/8.35 | Equations (980) can reduce 273 to: % 30.35/8.35 | (303) $false % 30.35/8.35 | % 30.35/8.35 |-The branch is then unsatisfiable % 30.35/8.35 |-Branch two: % 30.35/8.35 | (273) ~ (all_0_52_52 = e2) % 30.35/8.35 | (1772) all_0_52_52 = e4 | all_0_52_52 = e3 | all_0_52_52 = e1 % 30.35/8.35 | % 30.35/8.35 +-Applying beta-rule and splitting (228), into two cases. % 30.35/8.35 |-Branch one: % 30.35/8.35 | (748) all_0_48_48 = e1 % 30.35/8.35 | % 30.35/8.35 | Combining equations (609,748) yields a new equation: % 30.35/8.35 | (540) e4 = e1 % 30.35/8.35 | % 30.35/8.35 | Simplifying 540 yields: % 30.35/8.35 | (541) e4 = e1 % 30.35/8.35 | % 30.35/8.35 | Equations (541) can reduce 247 to: % 30.35/8.35 | (303) $false % 30.35/8.35 | % 30.35/8.35 |-The branch is then unsatisfiable % 30.35/8.35 |-Branch two: % 30.35/8.35 | (802) ~ (all_0_48_48 = e1) % 30.35/8.35 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 30.35/8.35 | % 30.35/8.35 +-Applying beta-rule and splitting (803), into two cases. % 30.35/8.35 |-Branch one: % 30.35/8.35 | (1580) all_0_49_49 = e1 % 30.35/8.35 | % 30.35/8.35 | Combining equations (368,1580) yields a new equation: % 30.35/8.35 | (584) e2 = e1 % 30.35/8.35 | % 30.35/8.35 | Simplifying 584 yields: % 30.35/8.35 | (585) e2 = e1 % 30.35/8.35 | % 30.35/8.35 | Equations (585) can reduce 144 to: % 30.35/8.35 | (303) $false % 30.35/8.35 | % 30.35/8.35 |-The branch is then unsatisfiable % 30.35/8.35 |-Branch two: % 30.35/8.35 | (506) ~ (all_0_49_49 = e1) % 30.35/8.35 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 30.35/8.35 | % 30.35/8.35 +-Applying beta-rule and splitting (1585), into two cases. % 30.35/8.35 |-Branch one: % 30.35/8.35 | (627) all_0_50_50 = e1 % 30.35/8.35 | % 30.35/8.35 | From (627) and (186) follows: % 30.35/8.35 | (1166) op(e2, e1) = e1 % 30.35/8.35 | % 30.35/8.35 +-Applying beta-rule and splitting (1500), into two cases. % 30.35/8.35 |-Branch one: % 30.35/8.35 | (1501) all_0_51_51 = e4 % 30.35/8.35 | % 30.35/8.35 | Combining equations (388,1501) yields a new equation: % 30.35/8.35 | (654) e4 = e0 % 30.35/8.35 | % 30.35/8.35 | Equations (654) can reduce 4 to: % 30.35/8.35 | (303) $false % 30.35/8.35 | % 30.35/8.35 |-The branch is then unsatisfiable % 30.35/8.35 |-Branch two: % 30.35/8.35 | (1504) ~ (all_0_51_51 = e4) % 30.35/8.35 | (1505) all_0_55_55 = e4 | all_0_60_60 = e4 % 30.35/8.35 | % 30.35/8.35 +-Applying beta-rule and splitting (1772), into two cases. % 30.35/8.35 |-Branch one: % 30.35/8.35 | (442) all_0_52_52 = e4 % 30.35/8.35 | % 30.35/8.35 | Equations (442) can reduce 445 to: % 30.35/8.35 | (303) $false % 30.35/8.35 | % 30.35/8.35 |-The branch is then unsatisfiable % 30.35/8.35 |-Branch two: % 30.35/8.35 | (445) ~ (all_0_52_52 = e4) % 30.35/8.35 | (1795) all_0_52_52 = e3 | all_0_52_52 = e1 % 30.35/8.35 | % 30.35/8.35 +-Applying beta-rule and splitting (1795), into two cases. % 30.35/8.35 |-Branch one: % 30.35/8.35 | (1070) all_0_52_52 = e1 % 30.35/8.35 | % 30.35/8.35 | Equations (1070) can reduce 169 to: % 30.35/8.35 | (463) ~ (all_0_55_55 = e1) % 30.35/8.35 | % 30.35/8.35 | Simplifying 463 yields: % 30.35/8.35 | (464) ~ (all_0_55_55 = e1) % 30.35/8.35 | % 30.35/8.35 | Equations (1070) can reduce 149 to: % 30.35/8.35 | (1799) ~ (all_0_56_56 = e1) % 30.35/8.35 | % 30.35/8.35 | Simplifying 1799 yields: % 30.35/8.35 | (587) ~ (all_0_56_56 = e1) % 30.35/8.35 | % 30.35/8.35 | Equations (1070) can reduce 78 to: % 30.35/8.35 | (134) ~ (e1 = e0) % 30.35/8.35 | % 30.35/8.35 +-Applying beta-rule and splitting (245), into two cases. % 30.35/8.35 |-Branch one: % 30.35/8.35 | (583) all_0_56_56 = e1 % 30.35/8.35 | % 30.35/8.35 | Equations (583) can reduce 587 to: % 30.35/8.35 | (303) $false % 30.35/8.35 | % 30.35/8.35 |-The branch is then unsatisfiable % 30.35/8.35 |-Branch two: % 30.35/8.35 | (587) ~ (all_0_56_56 = e1) % 30.35/8.35 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 30.35/8.35 | % 30.35/8.35 +-Applying beta-rule and splitting (153), into two cases. % 30.35/8.35 |-Branch one: % 30.35/8.35 | (932) all_0_55_55 = e2 % 30.35/8.35 | % 30.35/8.35 | Equations (932) can reduce 276 to: % 30.35/8.35 | (303) $false % 30.35/8.35 | % 30.35/8.35 |-The branch is then unsatisfiable % 30.35/8.35 |-Branch two: % 30.35/8.35 | (276) ~ (all_0_55_55 = e2) % 30.35/8.35 | (1809) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 % 30.35/8.35 | % 30.35/8.35 +-Applying beta-rule and splitting (61), into two cases. % 30.35/8.35 |-Branch one: % 30.35/8.35 | (580) all_0_56_56 = e2 % 30.35/8.35 | % 30.35/8.35 | Equations (580) can reduce 587 to: % 30.35/8.35 | (144) ~ (e2 = e1) % 30.35/8.35 | % 30.35/8.35 | From (580) and (132) follows: % 30.35/8.35 | (582) op(e0, e4) = e2 % 30.35/8.35 | % 30.35/8.35 +-Applying beta-rule and splitting (27), into two cases. % 30.35/8.35 |-Branch one: % 30.35/8.35 | (705) all_0_44_44 = e1 % 30.35/8.35 | % 30.35/8.35 | Combining equations (705,572) yields a new equation: % 30.35/8.35 | (585) e2 = e1 % 30.35/8.35 | % 30.35/8.35 | Equations (585) can reduce 144 to: % 30.35/8.35 | (303) $false % 30.35/8.35 | % 30.35/8.35 |-The branch is then unsatisfiable % 30.35/8.35 |-Branch two: % 30.35/8.35 | (512) ~ (all_0_44_44 = e1) % 30.35/8.35 | (1589) all_0_51_51 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1 % 30.35/8.35 | % 30.35/8.35 +-Applying beta-rule and splitting (1505), into two cases. % 30.35/8.35 |-Branch one: % 30.35/8.35 | (473) all_0_55_55 = e4 % 30.35/8.35 | % 30.35/8.35 | Equations (473) can reduce 464 to: % 30.35/8.35 | (247) ~ (e4 = e1) % 30.35/8.35 | % 30.35/8.35 | From (473) and (240) follows: % 30.35/8.35 | (479) op(e1, e0) = e4 % 30.35/8.35 | % 30.35/8.35 +-Applying beta-rule and splitting (1589), into two cases. % 30.35/8.35 |-Branch one: % 30.35/8.35 | (1590) all_0_51_51 = e1 % 30.35/8.35 | % 30.35/8.35 | Combining equations (388,1590) yields a new equation: % 30.35/8.35 | (590) e1 = e0 % 30.35/8.35 | % 30.35/8.35 | Equations (590) can reduce 134 to: % 30.35/8.35 | (303) $false % 30.35/8.35 | % 30.35/8.35 |-The branch is then unsatisfiable % 30.35/8.35 |-Branch two: % 30.35/8.35 | (500) ~ (all_0_51_51 = e1) % 30.35/8.35 | (1594) all_0_55_55 = e1 | all_0_60_60 = e1 % 30.35/8.35 | % 30.35/8.35 +-Applying beta-rule and splitting (552), into two cases. % 30.35/8.35 |-Branch one: % 30.35/8.35 | (594) ~ (all_0_56_56 = e2) % 30.35/8.35 | % 30.35/8.35 | Equations (580) can reduce 594 to: % 30.35/8.35 | (303) $false % 30.35/8.35 | % 30.35/8.35 |-The branch is then unsatisfiable % 30.35/8.35 |-Branch two: % 30.35/8.35 | (580) all_0_56_56 = e2 % 30.35/8.35 | (597) all_0_58_58 = e4 & ~ (unit = e2) % 30.35/8.35 | % 30.35/8.35 | Applying alpha-rule on (597) yields: % 30.35/8.35 | (344) all_0_58_58 = e4 % 30.35/8.35 | (599) ~ (unit = e2) % 30.35/8.35 | % 30.35/8.35 +-Applying beta-rule and splitting (1594), into two cases. % 30.35/8.35 |-Branch one: % 30.35/8.35 | (530) all_0_55_55 = e1 % 30.35/8.35 | % 30.35/8.35 | Combining equations (473,530) yields a new equation: % 30.35/8.35 | (540) e4 = e1 % 30.35/8.35 | % 30.35/8.35 | Simplifying 540 yields: % 30.35/8.35 | (541) e4 = e1 % 30.35/8.35 | % 30.35/8.35 | Equations (541) can reduce 247 to: % 30.35/8.35 | (303) $false % 30.35/8.35 | % 30.35/8.35 |-The branch is then unsatisfiable % 30.35/8.35 |-Branch two: % 30.35/8.35 | (464) ~ (all_0_55_55 = e1) % 30.35/8.35 | (604) all_0_60_60 = e1 % 30.35/8.35 | % 30.35/8.35 | Equations (604) can reduce 414 to: % 30.35/8.35 | (134) ~ (e1 = e0) % 30.35/8.35 | % 30.35/8.35 +-Applying beta-rule and splitting (62), into two cases. % 30.35/8.35 |-Branch one: % 30.35/8.35 | (631) unit = e2 % 30.35/8.35 | % 30.35/8.35 | Equations (631) can reduce 599 to: % 30.35/8.35 | (303) $false % 30.35/8.35 | % 30.35/8.35 |-The branch is then unsatisfiable % 30.35/8.35 |-Branch two: % 30.35/8.35 | (599) ~ (unit = e2) % 30.35/8.35 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 30.35/8.35 | % 30.35/8.35 +-Applying beta-rule and splitting (634), into two cases. % 30.35/8.35 |-Branch one: % 30.35/8.35 | (635) unit = e4 % 30.35/8.35 | % 30.35/8.35 | From (635) and (232) follows: % 30.35/8.35 | (1844) op(e4, e3) = e3 % 30.35/8.35 | % 30.35/8.35 | From (635) and (130) follows: % 30.35/8.35 | (1177) op(e4, e4) = e4 % 30.35/8.35 | % 30.35/8.35 | From (635) and (74) follows: % 30.35/8.35 | (637) op(e2, e4) = e2 % 30.35/8.35 | % 30.35/8.35 | From (635) and (111) follows: % 30.35/8.35 | (638) op(e0, e4) = e0 % 30.35/8.35 | % 30.35/8.35 | Instantiating formula (29) with e4, e4, e4, e3 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e3, yields: % 30.35/8.35 | (443) e4 = e3 % 30.35/8.35 | % 30.35/8.35 | Instantiating formula (29) with e4, e3, e3, e1 and discharging atoms op(e4, e3) = e3, op(e4, e3) = e1, yields: % 30.35/8.35 | (601) e3 = e1 % 30.35/8.35 | % 30.35/8.35 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 30.35/8.35 | (470) e4 = e2 % 30.35/8.35 | % 30.35/8.35 | Instantiating formula (29) with e0, e4, e0, e2 and discharging atoms op(e0, e4) = e2, op(e0, e4) = e0, yields: % 30.35/8.35 | (385) e2 = e0 % 30.35/8.35 | % 30.35/8.35 | Combining equations (443,470) yields a new equation: % 30.35/8.35 | (452) e3 = e2 % 30.35/8.35 | % 30.35/8.35 | Simplifying 452 yields: % 30.35/8.35 | (453) e3 = e2 % 30.35/8.35 | % 30.35/8.35 | Combining equations (453,601) yields a new equation: % 30.35/8.35 | (584) e2 = e1 % 30.35/8.35 | % 30.35/8.35 | Simplifying 584 yields: % 30.35/8.35 | (585) e2 = e1 % 30.35/8.35 | % 30.35/8.35 | Combining equations (585,385) yields a new equation: % 30.35/8.35 | (670) e1 = e0 % 30.35/8.35 | % 30.35/8.35 | Simplifying 670 yields: % 30.35/8.35 | (590) e1 = e0 % 30.35/8.35 | % 30.35/8.35 | Equations (590) can reduce 134 to: % 30.35/8.35 | (303) $false % 30.35/8.35 | % 30.35/8.35 |-The branch is then unsatisfiable % 30.35/8.35 |-Branch two: % 30.35/8.35 | (484) ~ (unit = e4) % 30.35/8.35 | (647) unit = e3 | unit = e1 | unit = e0 % 30.35/8.35 | % 30.35/8.35 +-Applying beta-rule and splitting (647), into two cases. % 30.35/8.35 |-Branch one: % 30.35/8.35 | (648) unit = e1 % 30.35/8.35 | % 30.35/8.35 | From (648) and (98) follows: % 30.35/8.35 | (1862) op(e3, e1) = e3 % 30.35/8.35 | % 30.35/8.35 | From (648) and (74) follows: % 30.35/8.35 | (769) op(e2, e1) = e2 % 30.35/8.35 | % 30.35/8.35 | From (648) and (111) follows: % 30.35/8.35 | (770) op(e0, e1) = e0 % 30.35/8.35 | % 30.35/8.35 | Instantiating formula (29) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields: % 30.35/8.35 | (453) e3 = e2 % 30.35/8.35 | % 30.35/8.35 | Instantiating formula (29) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 30.35/8.35 | (585) e2 = e1 % 30.35/8.35 | % 30.35/8.35 | Instantiating formula (29) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields: % 30.35/8.35 | (497) e3 = e0 % 30.35/8.35 | % 30.35/8.35 | Combining equations (497,453) yields a new equation: % 30.35/8.35 | (385) e2 = e0 % 30.35/8.35 | % 30.35/8.35 | Combining equations (385,585) yields a new equation: % 30.35/8.35 | (590) e1 = e0 % 30.35/8.35 | % 30.35/8.35 | Equations (590) can reduce 134 to: % 30.35/8.35 | (303) $false % 30.35/8.35 | % 30.35/8.35 |-The branch is then unsatisfiable % 30.35/8.35 |-Branch two: % 30.35/8.35 | (510) ~ (unit = e1) % 30.35/8.35 | (659) unit = e3 | unit = e0 % 30.35/8.35 | % 30.35/8.35 +-Applying beta-rule and splitting (659), into two cases. % 30.35/8.35 |-Branch one: % 30.35/8.35 | (660) unit = e0 % 30.35/8.35 | % 30.35/8.35 | Equations (660) can reduce 510 to: % 30.35/8.35 | (661) ~ (e1 = e0) % 30.35/8.35 | % 30.35/8.35 | Simplifying 661 yields: % 30.35/8.35 | (134) ~ (e1 = e0) % 30.35/8.35 | % 30.35/8.35 | From (660) and (147) follows: % 30.35/8.35 | (663) op(e0, e2) = e2 % 30.35/8.35 | % 30.35/8.35 | From (660) and (74) follows: % 30.35/8.35 | (664) op(e2, e0) = e2 % 30.35/8.35 | % 30.35/8.35 | From (660) and (190) follows: % 30.35/8.35 | (665) op(e1, e0) = e1 % 30.35/8.35 | % 30.35/8.35 | Instantiating formula (29) with e2, e0, e2, e0 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 30.35/8.35 | (385) e2 = e0 % 30.35/8.35 | % 30.35/8.35 | Instantiating formula (29) with e1, e0, e1, e4 and discharging atoms op(e1, e0) = e4, op(e1, e0) = e1, yields: % 30.35/8.35 | (541) e4 = e1 % 30.35/8.35 | % 30.35/8.35 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 30.35/8.36 | (470) e4 = e2 % 30.35/8.36 | % 30.35/8.36 | Combining equations (541,470) yields a new equation: % 30.35/8.36 | (585) e2 = e1 % 30.35/8.36 | % 30.35/8.36 | Combining equations (585,385) yields a new equation: % 30.35/8.36 | (670) e1 = e0 % 30.35/8.36 | % 30.35/8.36 | Simplifying 670 yields: % 30.35/8.36 | (590) e1 = e0 % 30.35/8.36 | % 30.35/8.36 | Equations (590) can reduce 134 to: % 30.35/8.36 | (303) $false % 30.35/8.36 | % 30.35/8.36 |-The branch is then unsatisfiable % 30.35/8.36 |-Branch two: % 30.35/8.36 | (537) ~ (unit = e0) % 30.35/8.36 | (674) unit = e3 % 30.35/8.36 | % 30.35/8.36 | From (674) and (17) follows: % 30.35/8.36 | (1207) op(e3, e4) = e4 % 30.35/8.36 | % 30.35/8.36 | From (674) and (98) follows: % 30.35/8.36 | (1208) op(e3, e3) = e3 % 30.35/8.36 | % 30.35/8.36 | From (674) and (190) follows: % 30.35/8.36 | (468) op(e1, e3) = e1 % 30.35/8.36 | % 30.35/8.36 | Instantiating formula (29) with e3, e4, e4, e0 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e0, yields: % 30.35/8.36 | (654) e4 = e0 % 30.35/8.36 | % 30.35/8.36 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 30.35/8.36 | (443) e4 = e3 % 30.35/8.36 | % 30.35/8.36 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 30.35/8.36 | (601) e3 = e1 % 30.35/8.36 | % 30.35/8.36 | Combining equations (443,654) yields a new equation: % 30.35/8.36 | (496) e3 = e0 % 30.35/8.36 | % 30.35/8.36 | Simplifying 496 yields: % 30.35/8.36 | (497) e3 = e0 % 30.35/8.36 | % 30.35/8.36 | Combining equations (497,601) yields a new equation: % 30.35/8.36 | (590) e1 = e0 % 30.35/8.36 | % 30.35/8.36 | Equations (590) can reduce 134 to: % 30.35/8.36 | (303) $false % 30.35/8.36 | % 30.35/8.36 |-The branch is then unsatisfiable % 30.35/8.36 |-Branch two: % 30.35/8.36 | (492) ~ (all_0_55_55 = e4) % 30.35/8.36 | (1510) all_0_60_60 = e4 % 30.35/8.36 | % 30.35/8.36 | Equations (1510) can reduce 350 to: % 30.35/8.36 | (303) $false % 30.35/8.36 | % 30.35/8.36 |-The branch is then unsatisfiable % 30.35/8.36 |-Branch two: % 30.35/8.36 | (594) ~ (all_0_56_56 = e2) % 30.35/8.36 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 30.35/8.36 | % 30.35/8.36 +-Applying beta-rule and splitting (1275), into two cases. % 30.35/8.36 |-Branch one: % 30.35/8.36 | (1510) all_0_60_60 = e4 % 30.35/8.36 | % 30.35/8.36 | Equations (1510) can reduce 350 to: % 30.35/8.36 | (303) $false % 30.35/8.36 | % 30.35/8.36 |-The branch is then unsatisfiable % 30.35/8.36 |-Branch two: % 30.35/8.36 | (350) ~ (all_0_60_60 = e4) % 30.35/8.36 | (1906) all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 30.35/8.36 | % 30.35/8.36 +-Applying beta-rule and splitting (1505), into two cases. % 30.35/8.36 |-Branch one: % 30.35/8.36 | (473) all_0_55_55 = e4 % 30.35/8.36 | % 30.35/8.36 | Equations (473) can reduce 276 to: % 30.35/8.36 | (231) ~ (e4 = e2) % 30.35/8.36 | % 30.35/8.36 +-Applying beta-rule and splitting (896), into two cases. % 30.35/8.36 |-Branch one: % 30.35/8.36 | (897) all_0_57_57 = e2 % 30.35/8.36 | % 30.35/8.36 | Combining equations (897,407) yields a new equation: % 30.35/8.36 | (403) e2 = e0 % 30.35/8.36 | % 30.35/8.36 | Simplifying 403 yields: % 30.35/8.36 | (385) e2 = e0 % 30.35/8.36 | % 30.35/8.36 | Equations (385) can reduce 51 to: % 30.35/8.36 | (303) $false % 30.35/8.36 | % 30.35/8.36 |-The branch is then unsatisfiable % 30.35/8.36 |-Branch two: % 30.35/8.36 | (377) ~ (all_0_57_57 = e2) % 30.35/8.36 | (902) all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 30.35/8.36 | % 30.35/8.36 +-Applying beta-rule and splitting (1906), into two cases. % 30.35/8.36 |-Branch one: % 30.35/8.36 | (604) all_0_60_60 = e1 % 30.35/8.36 | % 30.35/8.36 | Equations (604) can reduce 571 to: % 30.35/8.36 | (565) ~ (e2 = e1) % 30.35/8.36 | % 30.35/8.36 | Simplifying 565 yields: % 30.35/8.36 | (144) ~ (e2 = e1) % 30.35/8.36 | % 30.35/8.36 +-Applying beta-rule and splitting (902), into two cases. % 30.35/8.36 |-Branch one: % 30.35/8.36 | (340) all_0_58_58 = e2 % 30.35/8.36 | % 30.35/8.36 | Combining equations (344,340) yields a new equation: % 30.35/8.36 | (878) e4 = e2 % 30.35/8.36 | % 30.35/8.36 | Simplifying 878 yields: % 30.35/8.36 | (470) e4 = e2 % 30.35/8.36 | % 30.35/8.36 | Equations (470) can reduce 231 to: % 30.35/8.36 | (303) $false % 30.35/8.36 | % 30.35/8.36 |-The branch is then unsatisfiable % 30.35/8.36 |-Branch two: % 30.35/8.36 | (278) ~ (all_0_58_58 = e2) % 30.35/8.36 | (908) all_0_59_59 = e2 | all_0_60_60 = e2 % 30.35/8.36 | % 30.35/8.36 +-Applying beta-rule and splitting (908), into two cases. % 30.35/8.36 |-Branch one: % 30.35/8.36 | (909) all_0_59_59 = e2 % 30.35/8.36 | % 30.35/8.36 | Combining equations (456,909) yields a new equation: % 30.35/8.36 | (452) e3 = e2 % 30.35/8.36 | % 30.35/8.36 | Simplifying 452 yields: % 30.35/8.36 | (453) e3 = e2 % 30.35/8.36 | % 30.35/8.36 | Equations (453) can reduce 223 to: % 30.35/8.36 | (303) $false % 30.35/8.36 | % 30.35/8.36 |-The branch is then unsatisfiable % 30.35/8.36 |-Branch two: % 30.35/8.36 | (260) ~ (all_0_59_59 = e2) % 30.35/8.36 | (913) all_0_60_60 = e2 % 30.35/8.36 | % 30.35/8.36 | Combining equations (604,913) yields a new equation: % 30.35/8.36 | (585) e2 = e1 % 30.35/8.36 | % 30.35/8.36 | Equations (585) can reduce 144 to: % 30.35/8.36 | (303) $false % 30.35/8.36 | % 30.35/8.36 |-The branch is then unsatisfiable % 30.35/8.36 |-Branch two: % 30.35/8.36 | (501) ~ (all_0_60_60 = e1) % 30.35/8.36 | (1933) all_0_60_60 = e3 | all_0_60_60 = e0 % 30.35/8.36 | % 30.35/8.36 +-Applying beta-rule and splitting (1933), into two cases. % 30.35/8.36 |-Branch one: % 30.35/8.36 | (1934) all_0_60_60 = e0 % 30.35/8.36 | % 30.35/8.36 | Equations (1934) can reduce 414 to: % 30.35/8.36 | (303) $false % 30.35/8.36 | % 30.35/8.36 |-The branch is then unsatisfiable % 30.35/8.36 |-Branch two: % 30.35/8.36 | (414) ~ (all_0_60_60 = e0) % 30.35/8.36 | (1937) all_0_60_60 = e3 % 30.35/8.36 | % 30.35/8.36 | Equations (1937) can reduce 316 to: % 30.35/8.36 | (303) $false % 30.35/8.36 | % 30.35/8.36 |-The branch is then unsatisfiable % 30.35/8.36 |-Branch two: % 30.35/8.36 | (492) ~ (all_0_55_55 = e4) % 30.35/8.36 | (1510) all_0_60_60 = e4 % 30.35/8.36 | % 30.35/8.36 | Equations (1510) can reduce 350 to: % 30.35/8.36 | (303) $false % 30.35/8.36 | % 30.35/8.36 |-The branch is then unsatisfiable % 30.35/8.36 |-Branch two: % 30.35/8.36 | (502) ~ (all_0_52_52 = e1) % 30.35/8.36 | (425) all_0_52_52 = e3 % 30.35/8.36 | % 30.35/8.36 | Equations (425) can reduce 521 to: % 30.35/8.36 | (303) $false % 30.35/8.36 | % 30.35/8.36 |-The branch is then unsatisfiable % 30.35/8.36 |-Branch two: % 30.35/8.36 | (678) ~ (all_0_50_50 = e1) % 30.35/8.36 | (1590) all_0_51_51 = e1 % 30.35/8.36 | % 30.35/8.36 | Combining equations (1590,388) yields a new equation: % 30.35/8.36 | (670) e1 = e0 % 30.35/8.36 | % 30.35/8.36 | Simplifying 670 yields: % 30.35/8.36 | (590) e1 = e0 % 30.35/8.36 | % 30.35/8.36 | Equations (590) can reduce 134 to: % 30.35/8.36 | (303) $false % 30.35/8.36 | % 30.35/8.36 |-The branch is then unsatisfiable % 30.35/8.36 |-Branch two: % 30.35/8.36 | (721) ~ (all_0_48_48 = e4) % 30.35/8.36 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 30.35/8.36 | % 30.35/8.36 +-Applying beta-rule and splitting (623), into two cases. % 30.35/8.36 |-Branch one: % 30.35/8.36 | (627) all_0_50_50 = e1 % 30.35/8.36 | % 30.35/8.36 | Equations (627) can reduce 48 to: % 30.35/8.36 | (802) ~ (all_0_48_48 = e1) % 30.35/8.36 | % 30.35/8.36 +-Applying beta-rule and splitting (220), into two cases. % 30.35/8.36 |-Branch one: % 30.35/8.36 | (913) all_0_60_60 = e2 % 30.35/8.36 | % 30.35/8.36 | Equations (913) can reduce 571 to: % 30.35/8.36 | (303) $false % 30.35/8.36 | % 30.35/8.36 |-The branch is then unsatisfiable % 30.35/8.36 |-Branch two: % 30.35/8.36 | (571) ~ (all_0_60_60 = e2) % 30.35/8.36 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 30.35/8.36 | % 30.35/8.36 +-Applying beta-rule and splitting (61), into two cases. % 30.35/8.36 |-Branch one: % 30.35/8.36 | (580) all_0_56_56 = e2 % 30.35/8.36 | % 30.35/8.36 | Equations (580) can reduce 174 to: % 30.35/8.36 | (573) ~ (all_0_60_60 = e2) % 30.35/8.36 | % 30.35/8.36 | Simplifying 573 yields: % 30.35/8.36 | (571) ~ (all_0_60_60 = e2) % 30.35/8.36 | % 30.35/8.36 | Equations (580) can reduce 345 to: % 30.35/8.36 | (261) ~ (e4 = e2) % 30.35/8.36 | % 30.35/8.36 | Simplifying 261 yields: % 30.35/8.36 | (231) ~ (e4 = e2) % 30.35/8.36 | % 30.35/8.36 +-Applying beta-rule and splitting (1275), into two cases. % 30.35/8.36 |-Branch one: % 30.35/8.36 | (1510) all_0_60_60 = e4 % 30.35/8.36 | % 30.35/8.36 | Equations (1510) can reduce 350 to: % 30.35/8.36 | (303) $false % 30.35/8.36 | % 30.35/8.36 |-The branch is then unsatisfiable % 30.35/8.36 |-Branch two: % 30.35/8.36 | (350) ~ (all_0_60_60 = e4) % 30.35/8.36 | (1906) all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 30.35/8.36 | % 30.35/8.36 +-Applying beta-rule and splitting (1906), into two cases. % 30.35/8.36 |-Branch one: % 30.35/8.36 | (604) all_0_60_60 = e1 % 30.35/8.36 | % 30.35/8.36 | Equations (604) can reduce 350 to: % 30.35/8.36 | (605) ~ (e4 = e1) % 30.35/8.36 | % 30.35/8.36 | Simplifying 605 yields: % 30.35/8.36 | (247) ~ (e4 = e1) % 30.35/8.36 | % 30.35/8.36 | Equations (604) can reduce 316 to: % 30.35/8.36 | (465) ~ (e3 = e1) % 30.35/8.36 | % 30.35/8.36 | Simplifying 465 yields: % 30.35/8.36 | (136) ~ (e3 = e1) % 30.35/8.36 | % 30.35/8.36 | Equations (604) can reduce 571 to: % 30.35/8.36 | (565) ~ (e2 = e1) % 30.35/8.36 | % 30.35/8.36 | Simplifying 565 yields: % 30.35/8.36 | (144) ~ (e2 = e1) % 30.35/8.36 | % 30.35/8.36 +-Applying beta-rule and splitting (85), into two cases. % 30.35/8.36 |-Branch one: % 30.35/8.36 | (1070) all_0_52_52 = e1 % 30.35/8.36 | % 30.35/8.36 | Equations (1070) can reduce 169 to: % 30.35/8.36 | (463) ~ (all_0_55_55 = e1) % 30.35/8.36 | % 30.35/8.36 | Simplifying 463 yields: % 30.35/8.36 | (464) ~ (all_0_55_55 = e1) % 30.35/8.36 | % 30.35/8.36 +-Applying beta-rule and splitting (6), into two cases. % 30.35/8.36 |-Branch one: % 30.35/8.36 | (442) all_0_52_52 = e4 % 30.35/8.36 | % 30.35/8.36 | Combining equations (1070,442) yields a new equation: % 30.35/8.36 | (541) e4 = e1 % 30.35/8.36 | % 30.35/8.36 | Equations (541) can reduce 247 to: % 30.35/8.36 | (303) $false % 30.35/8.36 | % 30.35/8.36 |-The branch is then unsatisfiable % 30.35/8.36 |-Branch two: % 30.35/8.36 | (445) ~ (all_0_52_52 = e4) % 30.35/8.36 | (446) all_0_54_54 = e4 | all_0_55_55 = e4 % 30.35/8.36 | % 30.35/8.36 +-Applying beta-rule and splitting (446), into two cases. % 30.35/8.36 |-Branch one: % 30.35/8.36 | (469) all_0_54_54 = e4 % 30.35/8.36 | % 30.35/8.36 | Combining equations (271,469) yields a new equation: % 30.35/8.36 | (470) e4 = e2 % 30.35/8.36 | % 30.35/8.36 | Equations (470) can reduce 231 to: % 30.35/8.36 | (303) $false % 30.35/8.36 | % 30.35/8.36 |-The branch is then unsatisfiable % 30.35/8.36 |-Branch two: % 30.35/8.36 | (472) ~ (all_0_54_54 = e4) % 30.35/8.36 | (473) all_0_55_55 = e4 % 30.35/8.36 | % 30.35/8.36 | Equations (473) can reduce 464 to: % 30.35/8.36 | (247) ~ (e4 = e1) % 30.35/8.36 | % 30.35/8.36 | Equations (473) can reduce 93 to: % 30.35/8.36 | (4) ~ (e4 = e0) % 30.35/8.36 | % 30.35/8.36 +-Applying beta-rule and splitting (722), into two cases. % 30.35/8.36 |-Branch one: % 30.35/8.36 | (714) all_0_50_50 = e4 % 30.35/8.36 | % 30.35/8.36 | Combining equations (627,714) yields a new equation: % 30.35/8.36 | (541) e4 = e1 % 30.35/8.36 | % 30.35/8.36 | Equations (541) can reduce 247 to: % 30.35/8.36 | (303) $false % 30.35/8.36 | % 30.35/8.36 |-The branch is then unsatisfiable % 30.35/8.36 |-Branch two: % 30.35/8.36 | (611) ~ (all_0_50_50 = e4) % 30.35/8.36 | (1501) all_0_51_51 = e4 % 30.35/8.36 | % 30.35/8.36 | Combining equations (388,1501) yields a new equation: % 30.35/8.36 | (654) e4 = e0 % 30.35/8.36 | % 30.35/8.36 | Equations (654) can reduce 4 to: % 30.35/8.36 | (303) $false % 30.35/8.36 | % 30.35/8.36 |-The branch is then unsatisfiable % 30.35/8.36 |-Branch two: % 30.35/8.36 | (502) ~ (all_0_52_52 = e1) % 30.35/8.36 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 30.35/8.36 | % 30.35/8.36 +-Applying beta-rule and splitting (552), into two cases. % 30.35/8.36 |-Branch one: % 30.35/8.36 | (594) ~ (all_0_56_56 = e2) % 30.35/8.36 | % 30.35/8.36 | Equations (580) can reduce 594 to: % 30.35/8.36 | (303) $false % 30.35/8.36 | % 30.35/8.36 |-The branch is then unsatisfiable % 30.35/8.36 |-Branch two: % 30.35/8.36 | (580) all_0_56_56 = e2 % 30.35/8.36 | (597) all_0_58_58 = e4 & ~ (unit = e2) % 30.35/8.36 | % 30.35/8.36 +-Applying beta-rule and splitting (175), into two cases. % 30.35/8.36 |-Branch one: % 30.35/8.36 | (624) all_0_40_40 = e1 % 30.35/8.36 | % 30.35/8.36 | Combining equations (624,1102) yields a new equation: % 30.35/8.36 | (601) e3 = e1 % 30.35/8.36 | % 30.35/8.36 | Equations (601) can reduce 136 to: % 30.35/8.36 | (303) $false % 30.35/8.36 | % 30.35/8.36 |-The branch is then unsatisfiable % 30.35/8.36 |-Branch two: % 30.35/8.36 | (683) ~ (all_0_40_40 = e1) % 30.35/8.36 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 30.35/8.36 | % 30.35/8.36 +-Applying beta-rule and splitting (684), into two cases. % 30.35/8.36 |-Branch one: % 30.35/8.36 | (748) all_0_48_48 = e1 % 30.35/8.36 | % 30.35/8.36 | Equations (748) can reduce 802 to: % 30.35/8.36 | (303) $false % 30.35/8.36 | % 30.35/8.36 |-The branch is then unsatisfiable % 30.35/8.36 |-Branch two: % 30.35/8.36 | (802) ~ (all_0_48_48 = e1) % 30.35/8.36 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 30.35/8.36 | % 30.35/8.37 +-Applying beta-rule and splitting (807), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (1070) all_0_52_52 = e1 % 30.35/8.37 | % 30.35/8.37 | Equations (1070) can reduce 502 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (502) ~ (all_0_52_52 = e1) % 30.35/8.37 | (583) all_0_56_56 = e1 % 30.35/8.37 | % 30.35/8.37 | Combining equations (580,583) yields a new equation: % 30.35/8.37 | (584) e2 = e1 % 30.35/8.37 | % 30.35/8.37 | Simplifying 584 yields: % 30.35/8.37 | (585) e2 = e1 % 30.35/8.37 | % 30.35/8.37 | Equations (585) can reduce 144 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (501) ~ (all_0_60_60 = e1) % 30.35/8.37 | (1933) all_0_60_60 = e3 | all_0_60_60 = e0 % 30.35/8.37 | % 30.35/8.37 +-Applying beta-rule and splitting (1933), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (1934) all_0_60_60 = e0 % 30.35/8.37 | % 30.35/8.37 | Equations (1934) can reduce 414 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (414) ~ (all_0_60_60 = e0) % 30.35/8.37 | (1937) all_0_60_60 = e3 % 30.35/8.37 | % 30.35/8.37 | Equations (1937) can reduce 316 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (594) ~ (all_0_56_56 = e2) % 30.35/8.37 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 30.35/8.37 | % 30.35/8.37 +-Applying beta-rule and splitting (1275), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (1510) all_0_60_60 = e4 % 30.35/8.37 | % 30.35/8.37 | Equations (1510) can reduce 350 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (350) ~ (all_0_60_60 = e4) % 30.35/8.37 | (1906) all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 30.35/8.37 | % 30.35/8.37 +-Applying beta-rule and splitting (896), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (897) all_0_57_57 = e2 % 30.35/8.37 | % 30.35/8.37 | Combining equations (407,897) yields a new equation: % 30.35/8.37 | (385) e2 = e0 % 30.35/8.37 | % 30.35/8.37 | Equations (385) can reduce 51 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (377) ~ (all_0_57_57 = e2) % 30.35/8.37 | (902) all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 30.35/8.37 | % 30.35/8.37 +-Applying beta-rule and splitting (1906), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (604) all_0_60_60 = e1 % 30.35/8.37 | % 30.35/8.37 | Equations (604) can reduce 571 to: % 30.35/8.37 | (565) ~ (e2 = e1) % 30.35/8.37 | % 30.35/8.37 | Simplifying 565 yields: % 30.35/8.37 | (144) ~ (e2 = e1) % 30.35/8.37 | % 30.35/8.37 +-Applying beta-rule and splitting (902), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (340) all_0_58_58 = e2 % 30.35/8.37 | % 30.35/8.37 | Combining equations (340,344) yields a new equation: % 30.35/8.37 | (470) e4 = e2 % 30.35/8.37 | % 30.35/8.37 | Equations (470) can reduce 231 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (278) ~ (all_0_58_58 = e2) % 30.35/8.37 | (908) all_0_59_59 = e2 | all_0_60_60 = e2 % 30.35/8.37 | % 30.35/8.37 +-Applying beta-rule and splitting (908), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (909) all_0_59_59 = e2 % 30.35/8.37 | % 30.35/8.37 | Combining equations (456,909) yields a new equation: % 30.35/8.37 | (452) e3 = e2 % 30.35/8.37 | % 30.35/8.37 | Simplifying 452 yields: % 30.35/8.37 | (453) e3 = e2 % 30.35/8.37 | % 30.35/8.37 | Equations (453) can reduce 223 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (260) ~ (all_0_59_59 = e2) % 30.35/8.37 | (913) all_0_60_60 = e2 % 30.35/8.37 | % 30.35/8.37 | Combining equations (913,604) yields a new equation: % 30.35/8.37 | (584) e2 = e1 % 30.35/8.37 | % 30.35/8.37 | Simplifying 584 yields: % 30.35/8.37 | (585) e2 = e1 % 30.35/8.37 | % 30.35/8.37 | Equations (585) can reduce 144 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (501) ~ (all_0_60_60 = e1) % 30.35/8.37 | (1933) all_0_60_60 = e3 | all_0_60_60 = e0 % 30.35/8.37 | % 30.35/8.37 +-Applying beta-rule and splitting (1933), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (1934) all_0_60_60 = e0 % 30.35/8.37 | % 30.35/8.37 | Equations (1934) can reduce 414 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (414) ~ (all_0_60_60 = e0) % 30.35/8.37 | (1937) all_0_60_60 = e3 % 30.35/8.37 | % 30.35/8.37 | Equations (1937) can reduce 316 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (678) ~ (all_0_50_50 = e1) % 30.35/8.37 | (600) all_0_59_59 = e1 % 30.35/8.37 | % 30.35/8.37 | Combining equations (600,456) yields a new equation: % 30.35/8.37 | (601) e3 = e1 % 30.35/8.37 | % 30.35/8.37 | Equations (601) can reduce 136 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (915) ~ (all_0_44_44 = e2) % 30.35/8.37 | (916) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 30.35/8.37 | % 30.35/8.37 +-Applying beta-rule and splitting (87), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (572) all_0_44_44 = e2 % 30.35/8.37 | % 30.35/8.37 | Equations (572) can reduce 915 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (915) ~ (all_0_44_44 = e2) % 30.35/8.37 | (2069) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 30.35/8.37 | % 30.35/8.37 +-Applying beta-rule and splitting (2069), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (1096) all_0_44_44 = e4 % 30.35/8.37 | % 30.35/8.37 | Equations (1096) can reduce 474 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (474) ~ (all_0_44_44 = e4) % 30.35/8.37 | (2073) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 30.35/8.37 | % 30.35/8.37 +-Applying beta-rule and splitting (2073), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (705) all_0_44_44 = e1 % 30.35/8.37 | % 30.35/8.37 | Equations (705) can reduce 512 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (512) ~ (all_0_44_44 = e1) % 30.35/8.37 | (2077) all_0_44_44 = e3 | all_0_44_44 = e0 % 30.35/8.37 | % 30.35/8.37 +-Applying beta-rule and splitting (2077), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (2078) all_0_44_44 = e0 % 30.35/8.37 | % 30.35/8.37 | Equations (2078) can reduce 330 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (330) ~ (all_0_44_44 = e0) % 30.35/8.37 | (2081) all_0_44_44 = e3 % 30.35/8.37 | % 30.35/8.37 | Equations (2081) can reduce 310 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (712) ~ (all_0_43_43 = e4) % 30.35/8.37 | (2084) all_0_43_43 = e3 | all_0_43_43 = e1 % 30.35/8.37 | % 30.35/8.37 +-Applying beta-rule and splitting (139), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (614) all_0_43_43 = e4 % 30.35/8.37 | % 30.35/8.37 | Equations (614) can reduce 712 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (712) ~ (all_0_43_43 = e4) % 30.35/8.37 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 30.35/8.37 | % 30.35/8.37 +-Applying beta-rule and splitting (713), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (714) all_0_50_50 = e4 % 30.35/8.37 | % 30.35/8.37 | Equations (714) can reduce 48 to: % 30.35/8.37 | (721) ~ (all_0_48_48 = e4) % 30.35/8.37 | % 30.35/8.37 +-Applying beta-rule and splitting (212), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (727) all_0_48_48 = e2 % 30.35/8.37 | % 30.35/8.37 | Equations (727) can reduce 544 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (544) ~ (all_0_48_48 = e2) % 30.35/8.37 | (730) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 30.35/8.37 | % 30.35/8.37 +-Applying beta-rule and splitting (730), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (609) all_0_48_48 = e4 % 30.35/8.37 | % 30.35/8.37 | Equations (609) can reduce 721 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (721) ~ (all_0_48_48 = e4) % 30.35/8.37 | (811) all_0_48_48 = e1 | all_0_48_48 = e0 % 30.35/8.37 | % 30.35/8.37 +-Applying beta-rule and splitting (811), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (748) all_0_48_48 = e1 % 30.35/8.37 | % 30.35/8.37 | Equations (748) can reduce 108 to: % 30.35/8.37 | (1061) ~ (all_0_52_52 = e1) % 30.35/8.37 | % 30.35/8.37 | Simplifying 1061 yields: % 30.35/8.37 | (502) ~ (all_0_52_52 = e1) % 30.35/8.37 | % 30.35/8.37 | Equations (748) can reduce 34 to: % 30.35/8.37 | (465) ~ (e3 = e1) % 30.35/8.37 | % 30.35/8.37 | Simplifying 465 yields: % 30.35/8.37 | (136) ~ (e3 = e1) % 30.35/8.37 | % 30.35/8.37 +-Applying beta-rule and splitting (85), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (1070) all_0_52_52 = e1 % 30.35/8.37 | % 30.35/8.37 | Equations (1070) can reduce 502 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (502) ~ (all_0_52_52 = e1) % 30.35/8.37 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 30.35/8.37 | % 30.35/8.37 +-Applying beta-rule and splitting (24), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (980) all_0_52_52 = e2 % 30.35/8.37 | % 30.35/8.37 | Equations (980) can reduce 273 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (273) ~ (all_0_52_52 = e2) % 30.35/8.37 | (1772) all_0_52_52 = e4 | all_0_52_52 = e3 | all_0_52_52 = e1 % 30.35/8.37 | % 30.35/8.37 +-Applying beta-rule and splitting (1772), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (442) all_0_52_52 = e4 % 30.35/8.37 | % 30.35/8.37 | Equations (442) can reduce 502 to: % 30.35/8.37 | (247) ~ (e4 = e1) % 30.35/8.37 | % 30.35/8.37 +-Applying beta-rule and splitting (623), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (627) all_0_50_50 = e1 % 30.35/8.37 | % 30.35/8.37 | Combining equations (714,627) yields a new equation: % 30.35/8.37 | (540) e4 = e1 % 30.35/8.37 | % 30.35/8.37 | Simplifying 540 yields: % 30.35/8.37 | (541) e4 = e1 % 30.35/8.37 | % 30.35/8.37 | Equations (541) can reduce 247 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (678) ~ (all_0_50_50 = e1) % 30.35/8.37 | (600) all_0_59_59 = e1 % 30.35/8.37 | % 30.35/8.37 | Combining equations (600,456) yields a new equation: % 30.35/8.37 | (601) e3 = e1 % 30.35/8.37 | % 30.35/8.37 | Equations (601) can reduce 136 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (445) ~ (all_0_52_52 = e4) % 30.35/8.37 | (1795) all_0_52_52 = e3 | all_0_52_52 = e1 % 30.35/8.37 | % 30.35/8.37 +-Applying beta-rule and splitting (1795), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (1070) all_0_52_52 = e1 % 30.35/8.37 | % 30.35/8.37 | Equations (1070) can reduce 502 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (502) ~ (all_0_52_52 = e1) % 30.35/8.37 | (425) all_0_52_52 = e3 % 30.35/8.37 | % 30.35/8.37 | Equations (425) can reduce 521 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (802) ~ (all_0_48_48 = e1) % 30.35/8.37 | (380) all_0_48_48 = e0 % 30.35/8.37 | % 30.35/8.37 | Equations (380) can reduce 292 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (611) ~ (all_0_50_50 = e4) % 30.35/8.37 | (717) all_0_59_59 = e4 % 30.35/8.37 | % 30.35/8.37 | Combining equations (717,456) yields a new equation: % 30.35/8.37 | (718) e4 = e3 % 30.35/8.37 | % 30.35/8.37 | Simplifying 718 yields: % 30.35/8.37 | (443) e4 = e3 % 30.35/8.37 | % 30.35/8.37 | Equations (443) can reduce 30 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (432) ~ (all_0_40_40 = e3) % 30.35/8.37 | (2138) all_0_41_41 = e3 | all_0_43_43 = e3 | all_0_44_44 = e3 % 30.35/8.37 | % 30.35/8.37 +-Applying beta-rule and splitting (145), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (1102) all_0_40_40 = e3 % 30.35/8.37 | % 30.35/8.37 | Equations (1102) can reduce 432 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (432) ~ (all_0_40_40 = e3) % 30.35/8.37 | (1105) all_0_45_45 = e3 | all_0_52_52 = e3 | all_0_56_56 = e3 % 30.35/8.37 | % 30.35/8.37 +-Applying beta-rule and splitting (1105), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (493) all_0_45_45 = e3 % 30.35/8.37 | % 30.35/8.37 | Combining equations (287,493) yields a new equation: % 30.35/8.37 | (497) e3 = e0 % 30.35/8.37 | % 30.35/8.37 | Equations (497) can reduce 70 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (1109) ~ (all_0_45_45 = e3) % 30.35/8.37 | (1110) all_0_52_52 = e3 | all_0_56_56 = e3 % 30.35/8.37 | % 30.35/8.37 +-Applying beta-rule and splitting (1110), into two cases. % 30.35/8.37 |-Branch one: % 30.35/8.37 | (425) all_0_52_52 = e3 % 30.35/8.37 | % 30.35/8.37 | Equations (425) can reduce 521 to: % 30.35/8.37 | (303) $false % 30.35/8.37 | % 30.35/8.37 |-The branch is then unsatisfiable % 30.35/8.37 |-Branch two: % 30.35/8.37 | (521) ~ (all_0_52_52 = e3) % 30.35/8.37 | (1111) all_0_56_56 = e3 % 30.35/8.37 | % 30.35/8.38 | Equations (1111) can reduce 526 to: % 30.35/8.38 | (303) $false % 30.35/8.38 | % 30.35/8.38 |-The branch is then unsatisfiable % 30.35/8.38 |-Branch two: % 30.35/8.38 | (699) ~ (all_0_41_41 = e1) % 30.35/8.38 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 30.35/8.38 | % 30.35/8.38 +-Applying beta-rule and splitting (1017), into two cases. % 30.35/8.38 |-Branch one: % 30.35/8.38 | (696) all_0_41_41 = e1 % 30.35/8.38 | % 30.35/8.38 | Equations (696) can reduce 699 to: % 30.35/8.38 | (303) $false % 30.35/8.38 | % 30.35/8.38 |-The branch is then unsatisfiable % 30.35/8.38 |-Branch two: % 30.35/8.38 | (699) ~ (all_0_41_41 = e1) % 30.35/8.38 | (2158) all_0_41_41 = e3 | all_0_41_41 = e0 % 30.35/8.38 | % 30.35/8.38 +-Applying beta-rule and splitting (2158), into two cases. % 30.35/8.38 |-Branch one: % 30.35/8.38 | (398) all_0_41_41 = e0 % 30.35/8.38 | % 30.35/8.38 | Equations (398) can reduce 326 to: % 30.35/8.38 | (303) $false % 30.35/8.38 | % 30.35/8.38 |-The branch is then unsatisfiable % 30.35/8.38 |-Branch two: % 30.35/8.38 | (326) ~ (all_0_41_41 = e0) % 30.35/8.38 | (431) all_0_41_41 = e3 % 30.35/8.38 | % 30.35/8.38 | Equations (431) can reduce 996 to: % 30.35/8.38 | (303) $false % 30.35/8.38 | % 30.35/8.38 |-The branch is then unsatisfiable % 30.35/8.38 |-Branch two: % 30.35/8.38 | (428) ~ (all_0_53_53 = e3) % 30.35/8.38 | (2165) all_0_55_55 = e3 % 30.35/8.38 | % 30.35/8.38 | Equations (2165) can reduce 314 to: % 30.35/8.38 | (303) $false % 30.35/8.38 | % 30.35/8.38 |-The branch is then unsatisfiable % 30.35/8.38 |-Branch two: % 30.35/8.38 | (2167) ~ (all_0_49_49 = e2) % 30.63/8.38 | (2168) all_0_49_49 = e1 | all_0_49_49 = e0 % 30.63/8.38 | % 30.63/8.38 +-Applying beta-rule and splitting (97), into two cases. % 30.63/8.38 |-Branch one: % 30.63/8.38 | (727) all_0_48_48 = e2 % 30.63/8.38 | % 30.63/8.38 | Equations (727) can reduce 58 to: % 30.63/8.38 | (2170) ~ (all_0_49_49 = e2) % 30.63/8.38 | % 30.63/8.38 | Simplifying 2170 yields: % 30.63/8.38 | (2167) ~ (all_0_49_49 = e2) % 30.63/8.38 | % 30.63/8.38 | Equations (727) can reduce 127 to: % 30.63/8.38 | (372) ~ (all_0_51_51 = e2) % 30.63/8.38 | % 30.63/8.38 | Simplifying 372 yields: % 30.63/8.38 | (373) ~ (all_0_51_51 = e2) % 30.63/8.38 | % 30.63/8.38 | Equations (727) can reduce 2 to: % 30.63/8.38 | (2174) ~ (all_0_56_56 = e2) % 30.63/8.38 | % 30.63/8.38 | Simplifying 2174 yields: % 30.63/8.38 | (594) ~ (all_0_56_56 = e2) % 30.63/8.38 | % 30.63/8.38 | Equations (727) can reduce 292 to: % 30.63/8.38 | (51) ~ (e2 = e0) % 30.63/8.38 | % 30.63/8.38 +-Applying beta-rule and splitting (56), into two cases. % 30.63/8.38 |-Branch one: % 30.63/8.38 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 30.63/8.38 | % 30.63/8.38 +-Applying beta-rule and splitting (480), into two cases. % 30.63/8.38 |-Branch one: % 30.63/8.38 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 30.63/8.38 | % 30.63/8.38 +-Applying beta-rule and splitting (481), into two cases. % 30.63/8.38 |-Branch one: % 30.63/8.38 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 30.63/8.38 | % 30.63/8.38 +-Applying beta-rule and splitting (482), into two cases. % 30.63/8.38 |-Branch one: % 30.63/8.38 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 30.63/8.38 | % 30.63/8.38 | Applying alpha-rule on (483) yields: % 30.63/8.38 | (484) ~ (unit = e4) % 30.63/8.38 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 30.63/8.38 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 30.63/8.38 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 30.63/8.38 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 30.63/8.38 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 30.63/8.38 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 30.63/8.38 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 30.63/8.38 | (492) ~ (all_0_55_55 = e4) % 30.63/8.38 | (493) all_0_45_45 = e3 % 30.63/8.38 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 30.63/8.38 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 30.63/8.38 | % 30.63/8.38 | Combining equations (287,493) yields a new equation: % 30.63/8.38 | (497) e3 = e0 % 30.63/8.38 | % 30.63/8.38 | Equations (497) can reduce 70 to: % 30.63/8.38 | (303) $false % 30.63/8.38 | % 30.63/8.38 |-The branch is then unsatisfiable % 30.63/8.38 |-Branch two: % 30.63/8.38 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 30.63/8.38 | % 30.63/8.38 | Applying alpha-rule on (499) yields: % 30.63/8.38 | (500) ~ (all_0_51_51 = e1) % 30.63/8.38 | (501) ~ (all_0_60_60 = e1) % 30.63/8.38 | (502) ~ (all_0_52_52 = e1) % 30.63/8.38 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 30.63/8.38 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 30.63/8.38 | (252) all_0_46_46 = e2 % 30.63/8.38 | (506) ~ (all_0_49_49 = e1) % 30.63/8.38 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 30.63/8.38 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 30.63/8.38 | (509) ~ (all_0_53_53 = e1) % 30.63/8.38 | (510) ~ (unit = e1) % 30.63/8.38 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 30.63/8.38 | (512) ~ (all_0_44_44 = e1) % 30.63/8.38 | % 30.63/8.38 +-Applying beta-rule and splitting (228), into two cases. % 30.63/8.38 |-Branch one: % 30.63/8.38 | (748) all_0_48_48 = e1 % 30.63/8.38 | % 30.63/8.38 | Combining equations (748,727) yields a new equation: % 30.63/8.38 | (585) e2 = e1 % 30.63/8.38 | % 30.63/8.38 | Equations (585) can reduce 144 to: % 30.63/8.38 | (303) $false % 30.63/8.38 | % 30.63/8.38 |-The branch is then unsatisfiable % 30.63/8.38 |-Branch two: % 30.63/8.38 | (802) ~ (all_0_48_48 = e1) % 30.63/8.38 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 30.63/8.38 | % 30.63/8.38 +-Applying beta-rule and splitting (363), into two cases. % 30.63/8.38 |-Branch one: % 30.63/8.38 | (462) all_0_53_53 = e1 % 30.63/8.38 | % 30.63/8.38 | Equations (462) can reduce 509 to: % 30.63/8.38 | (303) $false % 30.63/8.38 | % 30.63/8.38 |-The branch is then unsatisfiable % 30.63/8.38 |-Branch two: % 30.63/8.38 | (509) ~ (all_0_53_53 = e1) % 30.63/8.38 | (994) all_0_53_53 = e3 % 30.63/8.38 | % 30.63/8.38 | Equations (994) can reduce 7 to: % 30.63/8.38 | (218) ~ (all_0_49_49 = e3) % 30.63/8.38 | % 30.63/8.38 | Equations (994) can reduce 77 to: % 30.63/8.38 | (521) ~ (all_0_52_52 = e3) % 30.63/8.38 | % 30.63/8.38 | Equations (994) can reduce 229 to: % 30.63/8.38 | (439) ~ (e4 = e3) % 30.63/8.38 | % 30.63/8.38 | Simplifying 439 yields: % 30.63/8.38 | (30) ~ (e4 = e3) % 30.63/8.38 | % 30.63/8.38 | Equations (994) can reduce 274 to: % 30.63/8.38 | (223) ~ (e3 = e2) % 30.63/8.38 | % 30.63/8.38 +-Applying beta-rule and splitting (803), into two cases. % 30.63/8.38 |-Branch one: % 30.63/8.38 | (1580) all_0_49_49 = e1 % 30.63/8.38 | % 30.63/8.38 | Equations (1580) can reduce 506 to: % 30.63/8.38 | (303) $false % 30.63/8.38 | % 30.63/8.38 |-The branch is then unsatisfiable % 30.63/8.38 |-Branch two: % 30.63/8.38 | (506) ~ (all_0_49_49 = e1) % 30.63/8.38 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 30.63/8.38 | % 30.63/8.38 +-Applying beta-rule and splitting (1585), into two cases. % 30.63/8.38 |-Branch one: % 30.63/8.38 | (627) all_0_50_50 = e1 % 30.63/8.38 | % 30.63/8.38 | Equations (627) can reduce 238 to: % 30.63/8.38 | (622) ~ (all_0_43_43 = e1) % 30.63/8.38 | % 30.63/8.38 +-Applying beta-rule and splitting (139), into two cases. % 30.63/8.38 |-Branch one: % 30.63/8.38 | (614) all_0_43_43 = e4 % 30.63/8.38 | % 30.63/8.38 | Equations (614) can reduce 8 to: % 30.63/8.38 | (844) ~ (all_0_40_40 = e4) % 30.63/8.38 | % 30.63/8.38 | Equations (614) can reduce 253 to: % 30.63/8.38 | (231) ~ (e4 = e2) % 30.63/8.38 | % 30.63/8.38 | Equations (614) can reduce 622 to: % 30.63/8.38 | (247) ~ (e4 = e1) % 30.63/8.38 | % 30.63/8.38 | Equations (614) can reduce 117 to: % 30.63/8.38 | (4) ~ (e4 = e0) % 30.63/8.38 | % 30.63/8.38 +-Applying beta-rule and splitting (137), into two cases. % 30.63/8.38 |-Branch one: % 30.63/8.38 | (447) all_0_43_43 = e3 % 30.63/8.38 | % 30.63/8.38 | Combining equations (614,447) yields a new equation: % 30.63/8.38 | (718) e4 = e3 % 30.63/8.38 | % 30.63/8.38 | Simplifying 718 yields: % 30.63/8.38 | (443) e4 = e3 % 30.63/8.38 | % 30.63/8.38 | Equations (443) can reduce 30 to: % 30.63/8.38 | (303) $false % 30.63/8.38 | % 30.63/8.38 |-The branch is then unsatisfiable % 30.63/8.38 |-Branch two: % 30.63/8.38 | (434) ~ (all_0_43_43 = e3) % 30.63/8.38 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 30.63/8.38 | % 30.63/8.38 +-Applying beta-rule and splitting (450), into two cases. % 30.63/8.38 |-Branch one: % 30.63/8.38 | (451) all_0_46_46 = e3 % 30.63/8.38 | % 30.63/8.38 | Combining equations (252,451) yields a new equation: % 30.63/8.38 | (453) e3 = e2 % 30.63/8.38 | % 30.63/8.38 | Equations (453) can reduce 223 to: % 30.63/8.38 | (303) $false % 30.63/8.38 | % 30.63/8.38 |-The branch is then unsatisfiable % 30.63/8.38 |-Branch two: % 30.63/8.38 | (455) ~ (all_0_46_46 = e3) % 30.63/8.38 | (456) all_0_59_59 = e3 % 30.63/8.38 | % 30.63/8.38 | Equations (456) can reduce 42 to: % 30.63/8.38 | (526) ~ (all_0_56_56 = e3) % 30.63/8.38 | % 30.63/8.38 | Equations (456) can reduce 164 to: % 30.63/8.38 | (315) ~ (all_0_60_60 = e3) % 30.63/8.38 | % 30.63/8.38 | Simplifying 315 yields: % 30.63/8.38 | (316) ~ (all_0_60_60 = e3) % 30.63/8.38 | % 30.63/8.38 +-Applying beta-rule and splitting (234), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (609) all_0_48_48 = e4 % 30.63/8.39 | % 30.63/8.39 | Combining equations (609,727) yields a new equation: % 30.63/8.39 | (878) e4 = e2 % 30.63/8.39 | % 30.63/8.39 | Simplifying 878 yields: % 30.63/8.39 | (470) e4 = e2 % 30.63/8.39 | % 30.63/8.39 | Equations (470) can reduce 231 to: % 30.63/8.39 | (303) $false % 30.63/8.39 | % 30.63/8.39 |-The branch is then unsatisfiable % 30.63/8.39 |-Branch two: % 30.63/8.39 | (721) ~ (all_0_48_48 = e4) % 30.63/8.39 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 30.63/8.39 | % 30.63/8.39 +-Applying beta-rule and splitting (722), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (714) all_0_50_50 = e4 % 30.63/8.39 | % 30.63/8.39 | Combining equations (627,714) yields a new equation: % 30.63/8.39 | (541) e4 = e1 % 30.63/8.39 | % 30.63/8.39 | Equations (541) can reduce 247 to: % 30.63/8.39 | (303) $false % 30.63/8.39 | % 30.63/8.39 |-The branch is then unsatisfiable % 30.63/8.39 |-Branch two: % 30.63/8.39 | (611) ~ (all_0_50_50 = e4) % 30.63/8.39 | (1501) all_0_51_51 = e4 % 30.63/8.39 | % 30.63/8.39 | Equations (1501) can reduce 160 to: % 30.63/8.39 | (215) ~ (all_0_49_49 = e4) % 30.63/8.39 | % 30.63/8.39 | Equations (1501) can reduce 373 to: % 30.63/8.39 | (231) ~ (e4 = e2) % 30.63/8.39 | % 30.63/8.39 +-Applying beta-rule and splitting (67), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (380) all_0_48_48 = e0 % 30.63/8.39 | % 30.63/8.39 | Combining equations (727,380) yields a new equation: % 30.63/8.39 | (403) e2 = e0 % 30.63/8.39 | % 30.63/8.39 | Simplifying 403 yields: % 30.63/8.39 | (385) e2 = e0 % 30.63/8.39 | % 30.63/8.39 | Equations (385) can reduce 51 to: % 30.63/8.39 | (303) $false % 30.63/8.39 | % 30.63/8.39 |-The branch is then unsatisfiable % 30.63/8.39 |-Branch two: % 30.63/8.39 | (292) ~ (all_0_48_48 = e0) % 30.63/8.39 | (383) all_0_49_49 = e0 | all_0_51_51 = e0 % 30.63/8.39 | % 30.63/8.39 +-Applying beta-rule and splitting (84), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (2078) all_0_44_44 = e0 % 30.63/8.39 | % 30.63/8.39 | Equations (2078) can reduce 330 to: % 30.63/8.39 | (303) $false % 30.63/8.39 | % 30.63/8.39 |-The branch is then unsatisfiable % 30.63/8.39 |-Branch two: % 30.63/8.39 | (330) ~ (all_0_44_44 = e0) % 30.63/8.39 | (2270) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_60_60 = e0 % 30.63/8.39 | % 30.63/8.39 +-Applying beta-rule and splitting (383), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (384) all_0_49_49 = e0 % 30.63/8.39 | % 30.63/8.39 | Equations (384) can reduce 226 to: % 30.63/8.39 | (2272) ~ (all_0_57_57 = e0) % 30.63/8.39 | % 30.63/8.39 | Simplifying 2272 yields: % 30.63/8.39 | (2273) ~ (all_0_57_57 = e0) % 30.63/8.39 | % 30.63/8.39 | Equations (384) can reduce 215 to: % 30.63/8.39 | (297) ~ (e4 = e0) % 30.63/8.39 | % 30.63/8.39 | Simplifying 297 yields: % 30.63/8.39 | (4) ~ (e4 = e0) % 30.63/8.39 | % 30.63/8.39 | Equations (384) can reduce 218 to: % 30.63/8.39 | (333) ~ (e3 = e0) % 30.63/8.39 | % 30.63/8.39 | Simplifying 333 yields: % 30.63/8.39 | (70) ~ (e3 = e0) % 30.63/8.39 | % 30.63/8.39 +-Applying beta-rule and splitting (6), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (442) all_0_52_52 = e4 % 30.63/8.39 | % 30.63/8.39 | Equations (442) can reduce 188 to: % 30.63/8.39 | (844) ~ (all_0_40_40 = e4) % 30.63/8.39 | % 30.63/8.39 | Equations (442) can reduce 149 to: % 30.63/8.39 | (2280) ~ (all_0_56_56 = e4) % 30.63/8.39 | % 30.63/8.39 | Simplifying 2280 yields: % 30.63/8.39 | (345) ~ (all_0_56_56 = e4) % 30.63/8.39 | % 30.63/8.39 | Equations (442) can reduce 521 to: % 30.63/8.39 | (30) ~ (e4 = e3) % 30.63/8.39 | % 30.63/8.39 | Equations (442) can reduce 78 to: % 30.63/8.39 | (4) ~ (e4 = e0) % 30.63/8.39 | % 30.63/8.39 +-Applying beta-rule and splitting (145), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (1102) all_0_40_40 = e3 % 30.63/8.39 | % 30.63/8.39 | Equations (1102) can reduce 57 to: % 30.63/8.39 | (2285) ~ (all_0_56_56 = e3) % 30.63/8.39 | % 30.63/8.39 | Simplifying 2285 yields: % 30.63/8.39 | (526) ~ (all_0_56_56 = e3) % 30.63/8.39 | % 30.63/8.39 | Equations (1102) can reduce 844 to: % 30.63/8.39 | (439) ~ (e4 = e3) % 30.63/8.39 | % 30.63/8.39 | Simplifying 439 yields: % 30.63/8.39 | (30) ~ (e4 = e3) % 30.63/8.39 | % 30.63/8.39 +-Applying beta-rule and splitting (61), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (580) all_0_56_56 = e2 % 30.63/8.39 | % 30.63/8.39 | Equations (580) can reduce 594 to: % 30.63/8.39 | (303) $false % 30.63/8.39 | % 30.63/8.39 |-The branch is then unsatisfiable % 30.63/8.39 |-Branch two: % 30.63/8.39 | (594) ~ (all_0_56_56 = e2) % 30.63/8.39 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 30.63/8.39 | % 30.63/8.39 +-Applying beta-rule and splitting (245), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (583) all_0_56_56 = e1 % 30.63/8.39 | % 30.63/8.39 +-Applying beta-rule and splitting (511), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (587) ~ (all_0_56_56 = e1) % 30.63/8.39 | % 30.63/8.39 | Equations (583) can reduce 587 to: % 30.63/8.39 | (303) $false % 30.63/8.39 | % 30.63/8.39 |-The branch is then unsatisfiable % 30.63/8.39 |-Branch two: % 30.63/8.39 | (583) all_0_56_56 = e1 % 30.63/8.39 | (717) all_0_59_59 = e4 % 30.63/8.39 | % 30.63/8.39 | Combining equations (717,456) yields a new equation: % 30.63/8.39 | (718) e4 = e3 % 30.63/8.39 | % 30.63/8.39 | Simplifying 718 yields: % 30.63/8.39 | (443) e4 = e3 % 30.63/8.39 | % 30.63/8.39 | Equations (443) can reduce 30 to: % 30.63/8.39 | (303) $false % 30.63/8.39 | % 30.63/8.39 |-The branch is then unsatisfiable % 30.63/8.39 |-Branch two: % 30.63/8.39 | (587) ~ (all_0_56_56 = e1) % 30.63/8.39 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 30.63/8.39 | % 30.63/8.39 +-Applying beta-rule and splitting (141), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (580) all_0_56_56 = e2 % 30.63/8.39 | % 30.63/8.39 | Equations (580) can reduce 594 to: % 30.63/8.39 | (303) $false % 30.63/8.39 | % 30.63/8.39 |-The branch is then unsatisfiable % 30.63/8.39 |-Branch two: % 30.63/8.39 | (594) ~ (all_0_56_56 = e2) % 30.63/8.39 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 30.63/8.39 | % 30.63/8.39 +-Applying beta-rule and splitting (50), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (2307) all_0_56_56 = e0 % 30.63/8.39 | % 30.63/8.39 | Equations (2307) can reduce 296 to: % 30.63/8.39 | (303) $false % 30.63/8.39 | % 30.63/8.39 |-The branch is then unsatisfiable % 30.63/8.39 |-Branch two: % 30.63/8.39 | (296) ~ (all_0_56_56 = e0) % 30.63/8.39 | (2310) all_0_57_57 = e0 | all_0_58_58 = e0 | all_0_60_60 = e0 % 30.63/8.39 | % 30.63/8.39 +-Applying beta-rule and splitting (2310), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (407) all_0_57_57 = e0 % 30.63/8.39 | % 30.63/8.39 | Equations (407) can reduce 2273 to: % 30.63/8.39 | (303) $false % 30.63/8.39 | % 30.63/8.39 |-The branch is then unsatisfiable % 30.63/8.39 |-Branch two: % 30.63/8.39 | (2273) ~ (all_0_57_57 = e0) % 30.63/8.39 | (2314) all_0_58_58 = e0 | all_0_60_60 = e0 % 30.63/8.39 | % 30.63/8.39 +-Applying beta-rule and splitting (2314), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (989) all_0_58_58 = e0 % 30.63/8.39 | % 30.63/8.39 | Combining equations (344,989) yields a new equation: % 30.63/8.39 | (1573) e4 = e0 % 30.63/8.39 | % 30.63/8.39 | Simplifying 1573 yields: % 30.63/8.39 | (654) e4 = e0 % 30.63/8.39 | % 30.63/8.39 | Equations (654) can reduce 4 to: % 30.63/8.39 | (303) $false % 30.63/8.39 | % 30.63/8.39 |-The branch is then unsatisfiable % 30.63/8.39 |-Branch two: % 30.63/8.39 | (332) ~ (all_0_58_58 = e0) % 30.63/8.39 | (1934) all_0_60_60 = e0 % 30.63/8.39 | % 30.63/8.39 | Equations (1934) can reduce 174 to: % 30.63/8.39 | (296) ~ (all_0_56_56 = e0) % 30.63/8.39 | % 30.63/8.39 +-Applying beta-rule and splitting (979), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (877) all_0_56_56 = e4 % 30.63/8.39 | % 30.63/8.39 | Equations (877) can reduce 345 to: % 30.63/8.39 | (303) $false % 30.63/8.39 | % 30.63/8.39 |-The branch is then unsatisfiable % 30.63/8.39 |-Branch two: % 30.63/8.39 | (345) ~ (all_0_56_56 = e4) % 30.63/8.39 | (2325) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 30.63/8.39 | % 30.63/8.39 +-Applying beta-rule and splitting (2325), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (583) all_0_56_56 = e1 % 30.63/8.39 | % 30.63/8.39 | Equations (583) can reduce 587 to: % 30.63/8.39 | (303) $false % 30.63/8.39 | % 30.63/8.39 |-The branch is then unsatisfiable % 30.63/8.39 |-Branch two: % 30.63/8.39 | (587) ~ (all_0_56_56 = e1) % 30.63/8.39 | (2329) all_0_56_56 = e3 | all_0_56_56 = e0 % 30.63/8.39 | % 30.63/8.39 +-Applying beta-rule and splitting (2329), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (2307) all_0_56_56 = e0 % 30.63/8.39 | % 30.63/8.39 | Equations (2307) can reduce 296 to: % 30.63/8.39 | (303) $false % 30.63/8.39 | % 30.63/8.39 |-The branch is then unsatisfiable % 30.63/8.39 |-Branch two: % 30.63/8.39 | (296) ~ (all_0_56_56 = e0) % 30.63/8.39 | (1111) all_0_56_56 = e3 % 30.63/8.39 | % 30.63/8.39 | Equations (1111) can reduce 526 to: % 30.63/8.39 | (303) $false % 30.63/8.39 | % 30.63/8.39 |-The branch is then unsatisfiable % 30.63/8.39 |-Branch two: % 30.63/8.39 | (432) ~ (all_0_40_40 = e3) % 30.63/8.39 | (1105) all_0_45_45 = e3 | all_0_52_52 = e3 | all_0_56_56 = e3 % 30.63/8.39 | % 30.63/8.39 +-Applying beta-rule and splitting (2270), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (306) all_0_47_47 = e0 % 30.63/8.39 | % 30.63/8.39 | Combining equations (309,306) yields a new equation: % 30.63/8.39 | (496) e3 = e0 % 30.63/8.39 | % 30.63/8.39 | Simplifying 496 yields: % 30.63/8.39 | (497) e3 = e0 % 30.63/8.39 | % 30.63/8.39 | Equations (497) can reduce 70 to: % 30.63/8.39 | (303) $false % 30.63/8.39 | % 30.63/8.39 |-The branch is then unsatisfiable % 30.63/8.39 |-Branch two: % 30.63/8.39 | (290) ~ (all_0_47_47 = e0) % 30.63/8.39 | (2342) all_0_51_51 = e0 | all_0_60_60 = e0 % 30.63/8.39 | % 30.63/8.39 +-Applying beta-rule and splitting (2342), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (388) all_0_51_51 = e0 % 30.63/8.39 | % 30.63/8.39 | Combining equations (1501,388) yields a new equation: % 30.63/8.39 | (1573) e4 = e0 % 30.63/8.39 | % 30.63/8.39 | Simplifying 1573 yields: % 30.63/8.39 | (654) e4 = e0 % 30.63/8.39 | % 30.63/8.39 | Equations (654) can reduce 4 to: % 30.63/8.39 | (303) $false % 30.63/8.39 | % 30.63/8.39 |-The branch is then unsatisfiable % 30.63/8.39 |-Branch two: % 30.63/8.39 | (2347) ~ (all_0_51_51 = e0) % 30.63/8.39 | (1934) all_0_60_60 = e0 % 30.63/8.39 | % 30.63/8.39 | Equations (1934) can reduce 316 to: % 30.63/8.39 | (333) ~ (e3 = e0) % 30.63/8.39 | % 30.63/8.39 | Simplifying 333 yields: % 30.63/8.39 | (70) ~ (e3 = e0) % 30.63/8.39 | % 30.63/8.39 +-Applying beta-rule and splitting (1105), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (493) all_0_45_45 = e3 % 30.63/8.39 | % 30.63/8.39 | Combining equations (287,493) yields a new equation: % 30.63/8.39 | (497) e3 = e0 % 30.63/8.39 | % 30.63/8.39 | Equations (497) can reduce 70 to: % 30.63/8.39 | (303) $false % 30.63/8.39 | % 30.63/8.39 |-The branch is then unsatisfiable % 30.63/8.39 |-Branch two: % 30.63/8.39 | (1109) ~ (all_0_45_45 = e3) % 30.63/8.39 | (1110) all_0_52_52 = e3 | all_0_56_56 = e3 % 30.63/8.39 | % 30.63/8.39 +-Applying beta-rule and splitting (1110), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (425) all_0_52_52 = e3 % 30.63/8.39 | % 30.63/8.39 | Combining equations (425,442) yields a new equation: % 30.63/8.39 | (443) e4 = e3 % 30.63/8.39 | % 30.63/8.39 | Equations (443) can reduce 30 to: % 30.63/8.39 | (303) $false % 30.63/8.39 | % 30.63/8.39 |-The branch is then unsatisfiable % 30.63/8.39 |-Branch two: % 30.63/8.39 | (521) ~ (all_0_52_52 = e3) % 30.63/8.39 | (1111) all_0_56_56 = e3 % 30.63/8.39 | % 30.63/8.39 | Equations (1111) can reduce 526 to: % 30.63/8.39 | (303) $false % 30.63/8.39 | % 30.63/8.39 |-The branch is then unsatisfiable % 30.63/8.39 |-Branch two: % 30.63/8.39 | (445) ~ (all_0_52_52 = e4) % 30.63/8.39 | (446) all_0_54_54 = e4 | all_0_55_55 = e4 % 30.63/8.39 | % 30.63/8.39 +-Applying beta-rule and splitting (2270), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (306) all_0_47_47 = e0 % 30.63/8.39 | % 30.63/8.39 | Combining equations (306,309) yields a new equation: % 30.63/8.39 | (497) e3 = e0 % 30.63/8.39 | % 30.63/8.39 | Equations (497) can reduce 70 to: % 30.63/8.39 | (303) $false % 30.63/8.39 | % 30.63/8.39 |-The branch is then unsatisfiable % 30.63/8.39 |-Branch two: % 30.63/8.39 | (290) ~ (all_0_47_47 = e0) % 30.63/8.39 | (2342) all_0_51_51 = e0 | all_0_60_60 = e0 % 30.63/8.39 | % 30.63/8.39 +-Applying beta-rule and splitting (2342), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (388) all_0_51_51 = e0 % 30.63/8.39 | % 30.63/8.39 | Combining equations (1501,388) yields a new equation: % 30.63/8.39 | (1573) e4 = e0 % 30.63/8.39 | % 30.63/8.39 | Simplifying 1573 yields: % 30.63/8.39 | (654) e4 = e0 % 30.63/8.39 | % 30.63/8.39 | Equations (654) can reduce 4 to: % 30.63/8.39 | (303) $false % 30.63/8.39 | % 30.63/8.39 |-The branch is then unsatisfiable % 30.63/8.39 |-Branch two: % 30.63/8.39 | (2347) ~ (all_0_51_51 = e0) % 30.63/8.39 | (1934) all_0_60_60 = e0 % 30.63/8.39 | % 30.63/8.39 | Equations (1934) can reduce 316 to: % 30.63/8.39 | (333) ~ (e3 = e0) % 30.63/8.39 | % 30.63/8.39 | Simplifying 333 yields: % 30.63/8.39 | (70) ~ (e3 = e0) % 30.63/8.39 | % 30.63/8.39 +-Applying beta-rule and splitting (145), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (1102) all_0_40_40 = e3 % 30.63/8.39 | % 30.63/8.39 | Equations (1102) can reduce 844 to: % 30.63/8.39 | (439) ~ (e4 = e3) % 30.63/8.39 | % 30.63/8.39 | Simplifying 439 yields: % 30.63/8.39 | (30) ~ (e4 = e3) % 30.63/8.39 | % 30.63/8.39 +-Applying beta-rule and splitting (196), into two cases. % 30.63/8.39 |-Branch one: % 30.63/8.39 | (723) all_0_40_40 = e4 % 30.63/8.39 | % 30.63/8.39 | Combining equations (723,1102) yields a new equation: % 30.63/8.39 | (718) e4 = e3 % 30.63/8.39 | % 30.63/8.39 | Simplifying 718 yields: % 30.63/8.39 | (443) e4 = e3 % 30.63/8.39 | % 30.63/8.39 | Equations (443) can reduce 30 to: % 30.63/8.39 | (303) $false % 30.63/8.39 | % 30.63/8.39 |-The branch is then unsatisfiable % 30.63/8.39 |-Branch two: % 30.63/8.39 | (844) ~ (all_0_40_40 = e4) % 30.63/8.39 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 30.63/8.39 | % 30.63/8.40 +-Applying beta-rule and splitting (845), into two cases. % 30.63/8.40 |-Branch one: % 30.63/8.40 | (609) all_0_48_48 = e4 % 30.63/8.40 | % 30.63/8.40 | Combining equations (727,609) yields a new equation: % 30.63/8.40 | (470) e4 = e2 % 30.63/8.40 | % 30.63/8.40 | Equations (470) can reduce 231 to: % 30.63/8.40 | (303) $false % 30.63/8.40 | % 30.63/8.40 |-The branch is then unsatisfiable % 30.63/8.40 |-Branch two: % 30.63/8.40 | (721) ~ (all_0_48_48 = e4) % 30.63/8.40 | (871) all_0_52_52 = e4 | all_0_56_56 = e4 % 30.63/8.40 | % 30.63/8.40 +-Applying beta-rule and splitting (871), into two cases. % 30.63/8.40 |-Branch one: % 30.63/8.40 | (442) all_0_52_52 = e4 % 30.63/8.40 | % 30.63/8.40 | Equations (442) can reduce 445 to: % 30.63/8.40 | (303) $false % 30.63/8.40 | % 30.63/8.40 |-The branch is then unsatisfiable % 30.63/8.40 |-Branch two: % 30.63/8.40 | (445) ~ (all_0_52_52 = e4) % 30.63/8.40 | (877) all_0_56_56 = e4 % 30.63/8.40 | % 30.63/8.40 | Equations (877) can reduce 345 to: % 30.63/8.40 | (303) $false % 30.63/8.40 | % 30.63/8.40 |-The branch is then unsatisfiable % 30.63/8.40 |-Branch two: % 30.63/8.40 | (432) ~ (all_0_40_40 = e3) % 30.63/8.40 | (1105) all_0_45_45 = e3 | all_0_52_52 = e3 | all_0_56_56 = e3 % 30.63/8.40 | % 30.63/8.40 +-Applying beta-rule and splitting (1105), into two cases. % 30.63/8.40 |-Branch one: % 30.63/8.40 | (493) all_0_45_45 = e3 % 30.63/8.40 | % 30.63/8.40 | Combining equations (287,493) yields a new equation: % 30.63/8.40 | (497) e3 = e0 % 30.63/8.40 | % 30.63/8.40 | Equations (497) can reduce 70 to: % 30.63/8.40 | (303) $false % 30.63/8.40 | % 30.63/8.40 |-The branch is then unsatisfiable % 30.63/8.40 |-Branch two: % 30.63/8.40 | (1109) ~ (all_0_45_45 = e3) % 30.63/8.40 | (1110) all_0_52_52 = e3 | all_0_56_56 = e3 % 30.63/8.40 | % 30.63/8.40 +-Applying beta-rule and splitting (1110), into two cases. % 30.63/8.40 |-Branch one: % 30.63/8.40 | (425) all_0_52_52 = e3 % 30.63/8.40 | % 30.63/8.40 | Equations (425) can reduce 521 to: % 30.63/8.40 | (303) $false % 30.63/8.40 | % 30.63/8.40 |-The branch is then unsatisfiable % 30.63/8.40 |-Branch two: % 30.63/8.40 | (521) ~ (all_0_52_52 = e3) % 30.63/8.40 | (1111) all_0_56_56 = e3 % 30.63/8.40 | % 30.63/8.40 | Equations (1111) can reduce 526 to: % 30.63/8.40 | (303) $false % 30.63/8.40 | % 30.63/8.40 |-The branch is then unsatisfiable % 30.63/8.40 |-Branch two: % 30.63/8.40 | (387) ~ (all_0_49_49 = e0) % 30.63/8.40 | (388) all_0_51_51 = e0 % 30.63/8.40 | % 30.63/8.40 | Combining equations (1501,388) yields a new equation: % 30.63/8.40 | (1573) e4 = e0 % 30.63/8.40 | % 30.63/8.40 | Simplifying 1573 yields: % 30.63/8.40 | (654) e4 = e0 % 30.63/8.40 | % 30.63/8.40 | Equations (654) can reduce 4 to: % 30.63/8.40 | (303) $false % 30.63/8.40 | % 30.63/8.40 |-The branch is then unsatisfiable % 30.63/8.40 |-Branch two: % 30.63/8.40 | (712) ~ (all_0_43_43 = e4) % 30.63/8.40 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 30.63/8.40 | % 30.63/8.40 +-Applying beta-rule and splitting (713), into two cases. % 30.63/8.40 |-Branch one: % 30.63/8.40 | (714) all_0_50_50 = e4 % 30.63/8.40 | % 30.63/8.40 | Combining equations (714,627) yields a new equation: % 30.63/8.40 | (540) e4 = e1 % 30.63/8.40 | % 30.63/8.40 | Simplifying 540 yields: % 30.63/8.40 | (541) e4 = e1 % 30.63/8.40 | % 30.63/8.40 | Equations (541) can reduce 247 to: % 30.63/8.40 | (303) $false % 30.63/8.40 | % 30.63/8.40 |-The branch is then unsatisfiable % 30.63/8.40 |-Branch two: % 30.63/8.40 | (611) ~ (all_0_50_50 = e4) % 30.63/8.40 | (717) all_0_59_59 = e4 % 30.63/8.40 | % 30.63/8.40 | Equations (717) can reduce 348 to: % 30.63/8.40 | (303) $false % 30.63/8.40 | % 30.63/8.40 |-The branch is then unsatisfiable % 30.63/8.40 |-Branch two: % 30.63/8.40 | (678) ~ (all_0_50_50 = e1) % 30.63/8.40 | (1590) all_0_51_51 = e1 % 30.63/8.40 | % 30.63/8.40 | Equations (1590) can reduce 500 to: % 30.63/8.40 | (303) $false % 30.63/8.40 | % 30.63/8.40 |-The branch is then unsatisfiable % 30.63/8.40 |-Branch two: % 30.63/8.40 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 30.63/8.40 | % 30.63/8.40 | Applying alpha-rule on (514) yields: % 30.63/8.40 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 30.63/8.40 | (516) ~ (all_0_47_47 = e3) % 30.63/8.40 | (314) ~ (all_0_55_55 = e3) % 30.63/8.40 | (368) all_0_49_49 = e2 % 30.63/8.40 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 30.63/8.40 | (520) ~ (unit = e3) % 30.63/8.40 | (521) ~ (all_0_52_52 = e3) % 30.63/8.40 | (455) ~ (all_0_46_46 = e3) % 30.63/8.40 | (432) ~ (all_0_40_40 = e3) % 30.63/8.40 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 30.63/8.40 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 30.63/8.40 | (526) ~ (all_0_56_56 = e3) % 30.63/8.40 | % 30.63/8.40 | Equations (368) can reduce 2167 to: % 30.63/8.40 | (303) $false % 30.63/8.40 | % 30.63/8.40 |-The branch is then unsatisfiable % 30.63/8.40 |-Branch two: % 30.63/8.40 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 30.63/8.40 | % 30.63/8.40 | Applying alpha-rule on (528) yields: % 30.63/8.40 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 30.63/8.40 | (530) all_0_55_55 = e1 % 30.63/8.40 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 30.63/8.40 | (387) ~ (all_0_49_49 = e0) % 30.63/8.40 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 30.63/8.40 | (534) ~ (all_0_45_45 = e0) % 30.63/8.40 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 30.63/8.40 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 30.63/8.40 | (537) ~ (unit = e0) % 30.63/8.40 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 30.63/8.40 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 30.63/8.40 | % 30.63/8.40 | Equations (287) can reduce 534 to: % 30.63/8.40 | (303) $false % 30.63/8.40 | % 30.63/8.40 |-The branch is then unsatisfiable % 30.63/8.40 |-Branch two: % 30.63/8.40 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 30.63/8.40 | % 30.63/8.40 | Applying alpha-rule on (543) yields: % 30.63/8.40 | (544) ~ (all_0_48_48 = e2) % 30.63/8.40 | (369) ~ (all_0_41_41 = e2) % 30.63/8.40 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 30.63/8.40 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 30.63/8.40 | (253) ~ (all_0_43_43 = e2) % 30.63/8.40 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 30.63/8.40 | (276) ~ (all_0_55_55 = e2) % 30.63/8.40 | (260) ~ (all_0_59_59 = e2) % 30.63/8.40 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 30.63/8.40 | (274) ~ (all_0_53_53 = e2) % 30.63/8.40 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 30.63/8.40 | (373) ~ (all_0_51_51 = e2) % 30.63/8.40 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 30.63/8.40 | (256) ~ (all_0_47_47 = e2) % 30.63/8.40 | (377) ~ (all_0_57_57 = e2) % 30.63/8.40 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 30.63/8.40 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 30.63/8.40 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 30.63/8.40 | (258) ~ (all_0_50_50 = e2) % 30.63/8.40 | (254) ~ (all_0_45_45 = e2) % 30.63/8.40 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 30.63/8.40 | % 30.63/8.40 | Equations (727) can reduce 544 to: % 30.63/8.40 | (303) $false % 30.63/8.40 | % 30.63/8.40 |-The branch is then unsatisfiable % 30.63/8.40 |-Branch two: % 30.63/8.40 | (544) ~ (all_0_48_48 = e2) % 30.63/8.40 | (2476) all_0_49_49 = e2 | all_0_50_50 = e2 | all_0_51_51 = e2 % 30.63/8.40 | % 30.63/8.40 +-Applying beta-rule and splitting (2476), into two cases. % 30.63/8.40 |-Branch one: % 30.63/8.40 | (368) all_0_49_49 = e2 % 30.63/8.40 | % 30.63/8.40 | Equations (368) can reduce 2167 to: % 30.63/8.40 | (303) $false % 30.63/8.40 | % 30.63/8.40 |-The branch is then unsatisfiable % 30.63/8.40 |-Branch two: % 30.63/8.40 | (2167) ~ (all_0_49_49 = e2) % 30.63/8.40 | (2480) all_0_50_50 = e2 | all_0_51_51 = e2 % 30.63/8.40 | % 30.63/8.40 +-Applying beta-rule and splitting (2480), into two cases. % 30.63/8.40 |-Branch one: % 30.63/8.40 | (364) all_0_50_50 = e2 % 30.63/8.40 | % 30.63/8.40 | Equations (364) can reduce 258 to: % 30.63/8.40 | (303) $false % 30.63/8.40 | % 30.63/8.40 |-The branch is then unsatisfiable % 30.63/8.40 |-Branch two: % 30.63/8.40 | (258) ~ (all_0_50_50 = e2) % 30.63/8.40 | (927) all_0_51_51 = e2 % 30.63/8.40 | % 30.63/8.40 | Equations (927) can reduce 161 to: % 30.63/8.40 | (915) ~ (all_0_44_44 = e2) % 30.63/8.40 | % 30.63/8.40 | Equations (927) can reduce 127 to: % 30.63/8.40 | (544) ~ (all_0_48_48 = e2) % 30.63/8.40 | % 30.63/8.40 | Equations (927) can reduce 160 to: % 30.63/8.40 | (2167) ~ (all_0_49_49 = e2) % 30.63/8.40 | % 30.63/8.40 | Equations (927) can reduce 95 to: % 30.63/8.40 | (573) ~ (all_0_60_60 = e2) % 30.63/8.40 | % 30.63/8.40 | Simplifying 573 yields: % 30.63/8.40 | (571) ~ (all_0_60_60 = e2) % 30.63/8.40 | % 30.63/8.40 | From (927) and (122) follows: % 30.63/8.40 | (2490) op(e2, e2) = all_0_21_21 % 30.63/8.40 | % 30.63/8.40 +-Applying beta-rule and splitting (56), into two cases. % 30.63/8.40 |-Branch one: % 30.63/8.40 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 30.63/8.40 | % 30.63/8.40 +-Applying beta-rule and splitting (480), into two cases. % 30.63/8.40 |-Branch one: % 30.63/8.40 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 30.63/8.40 | % 30.63/8.40 +-Applying beta-rule and splitting (481), into two cases. % 30.63/8.40 |-Branch one: % 30.63/8.40 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 30.63/8.41 | % 30.63/8.41 +-Applying beta-rule and splitting (482), into two cases. % 30.63/8.41 |-Branch one: % 30.63/8.41 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 30.63/8.41 | % 30.63/8.41 | Applying alpha-rule on (483) yields: % 30.63/8.41 | (484) ~ (unit = e4) % 30.63/8.41 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 30.63/8.41 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 30.63/8.41 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 30.63/8.41 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 30.63/8.41 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 30.63/8.41 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 30.63/8.41 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 30.63/8.41 | (492) ~ (all_0_55_55 = e4) % 30.63/8.41 | (493) all_0_45_45 = e3 % 30.63/8.41 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 30.63/8.41 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 30.63/8.41 | % 30.63/8.41 | Combining equations (287,493) yields a new equation: % 30.63/8.41 | (497) e3 = e0 % 30.63/8.41 | % 30.63/8.41 | Equations (497) can reduce 70 to: % 30.63/8.41 | (303) $false % 30.63/8.41 | % 30.63/8.41 |-The branch is then unsatisfiable % 30.63/8.41 |-Branch two: % 30.63/8.41 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 30.63/8.41 | % 30.63/8.41 | Applying alpha-rule on (499) yields: % 30.63/8.41 | (500) ~ (all_0_51_51 = e1) % 30.63/8.41 | (501) ~ (all_0_60_60 = e1) % 30.63/8.41 | (502) ~ (all_0_52_52 = e1) % 30.63/8.41 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 30.63/8.41 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 30.63/8.41 | (252) all_0_46_46 = e2 % 30.63/8.41 | (506) ~ (all_0_49_49 = e1) % 30.63/8.41 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 30.63/8.41 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 30.63/8.41 | (509) ~ (all_0_53_53 = e1) % 30.63/8.41 | (510) ~ (unit = e1) % 30.63/8.41 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 30.63/8.41 | (512) ~ (all_0_44_44 = e1) % 30.63/8.41 | % 30.63/8.41 +-Applying beta-rule and splitting (87), into two cases. % 30.63/8.41 |-Branch one: % 30.63/8.41 | (572) all_0_44_44 = e2 % 30.63/8.41 | % 30.63/8.41 | Equations (572) can reduce 915 to: % 30.63/8.41 | (303) $false % 30.63/8.41 | % 30.63/8.41 |-The branch is then unsatisfiable % 30.63/8.41 |-Branch two: % 30.63/8.41 | (915) ~ (all_0_44_44 = e2) % 30.63/8.41 | (2069) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 30.63/8.41 | % 30.63/8.41 +-Applying beta-rule and splitting (85), into two cases. % 30.63/8.41 |-Branch one: % 30.63/8.41 | (1070) all_0_52_52 = e1 % 30.63/8.41 | % 30.63/8.41 | Equations (1070) can reduce 502 to: % 30.63/8.41 | (303) $false % 30.63/8.41 | % 30.63/8.41 |-The branch is then unsatisfiable % 30.63/8.41 |-Branch two: % 30.63/8.41 | (502) ~ (all_0_52_52 = e1) % 30.63/8.41 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 30.63/8.41 | % 30.63/8.41 +-Applying beta-rule and splitting (1073), into two cases. % 30.63/8.41 |-Branch one: % 30.63/8.41 | (462) all_0_53_53 = e1 % 30.63/8.41 | % 30.63/8.41 | Equations (462) can reduce 509 to: % 30.63/8.41 | (303) $false % 30.63/8.41 | % 30.63/8.41 |-The branch is then unsatisfiable % 30.63/8.41 |-Branch two: % 30.63/8.41 | (509) ~ (all_0_53_53 = e1) % 30.63/8.41 | (530) all_0_55_55 = e1 % 30.63/8.41 | % 30.63/8.41 | Equations (530) can reduce 59 to: % 30.63/8.41 | (512) ~ (all_0_44_44 = e1) % 30.63/8.41 | % 30.63/8.41 | Equations (530) can reduce 159 to: % 30.63/8.41 | (1050) ~ (all_0_60_60 = e1) % 30.63/8.41 | % 30.63/8.41 | Simplifying 1050 yields: % 30.63/8.41 | (501) ~ (all_0_60_60 = e1) % 30.63/8.41 | % 30.63/8.41 | Equations (530) can reduce 314 to: % 30.63/8.41 | (465) ~ (e3 = e1) % 30.63/8.41 | % 30.63/8.41 | Simplifying 465 yields: % 30.63/8.41 | (136) ~ (e3 = e1) % 30.63/8.41 | % 30.63/8.41 +-Applying beta-rule and splitting (2168), into two cases. % 30.63/8.41 |-Branch one: % 30.63/8.41 | (1580) all_0_49_49 = e1 % 30.63/8.41 | % 30.63/8.41 | Equations (1580) can reduce 506 to: % 30.63/8.41 | (303) $false % 30.63/8.41 | % 30.63/8.41 |-The branch is then unsatisfiable % 30.63/8.41 |-Branch two: % 30.63/8.41 | (506) ~ (all_0_49_49 = e1) % 30.63/8.41 | (384) all_0_49_49 = e0 % 30.63/8.41 | % 30.63/8.41 | Equations (384) can reduce 177 to: % 30.63/8.41 | (326) ~ (all_0_41_41 = e0) % 30.63/8.41 | % 30.63/8.41 | Equations (384) can reduce 58 to: % 30.63/8.41 | (292) ~ (all_0_48_48 = e0) % 30.63/8.41 | % 30.63/8.41 | Equations (384) can reduce 7 to: % 30.63/8.41 | (2546) ~ (all_0_53_53 = e0) % 30.63/8.41 | % 30.63/8.41 | Simplifying 2546 yields: % 30.63/8.41 | (140) ~ (all_0_53_53 = e0) % 30.63/8.41 | % 30.63/8.41 | From (384) and (65) follows: % 30.63/8.41 | (2548) op(e0, e3) = all_0_18_18 % 30.63/8.41 | % 30.63/8.41 | From (384) and (113) follows: % 30.63/8.41 | (2549) op(e0, e2) = all_0_17_17 % 30.63/8.41 | % 30.63/8.41 | From (384) and (94) follows: % 30.63/8.41 | (2550) op(e2, e3) = e0 % 30.63/8.41 | % 30.63/8.41 +-Applying beta-rule and splitting (2069), into two cases. % 30.63/8.41 |-Branch one: % 30.63/8.41 | (1096) all_0_44_44 = e4 % 30.63/8.41 | % 30.63/8.41 | Equations (1096) can reduce 176 to: % 30.63/8.41 | (192) ~ (all_0_41_41 = e4) % 30.63/8.41 | % 30.63/8.41 | Equations (1096) can reduce 165 to: % 30.63/8.41 | (349) ~ (all_0_60_60 = e4) % 30.63/8.41 | % 30.63/8.41 | Simplifying 349 yields: % 30.63/8.41 | (350) ~ (all_0_60_60 = e4) % 30.63/8.41 | % 30.63/8.41 | Equations (1096) can reduce 310 to: % 30.63/8.41 | (30) ~ (e4 = e3) % 30.63/8.41 | % 30.63/8.41 | Equations (1096) can reduce 915 to: % 30.63/8.41 | (231) ~ (e4 = e2) % 30.63/8.41 | % 30.63/8.41 | Equations (1096) can reduce 512 to: % 30.63/8.41 | (247) ~ (e4 = e1) % 30.63/8.41 | % 30.63/8.41 | From (1096) and (235) follows: % 30.63/8.41 | (2558) op(e4, e4) = all_0_7_7 % 30.63/8.41 | % 30.63/8.41 +-Applying beta-rule and splitting (6), into two cases. % 30.63/8.41 |-Branch one: % 30.63/8.41 | (442) all_0_52_52 = e4 % 30.63/8.41 | % 30.63/8.41 | Equations (442) can reduce 188 to: % 30.63/8.41 | (844) ~ (all_0_40_40 = e4) % 30.63/8.41 | % 30.63/8.41 | Equations (442) can reduce 108 to: % 30.63/8.41 | (721) ~ (all_0_48_48 = e4) % 30.63/8.41 | % 30.63/8.41 | Equations (442) can reduce 149 to: % 30.63/8.41 | (2280) ~ (all_0_56_56 = e4) % 30.63/8.41 | % 30.63/8.41 | Simplifying 2280 yields: % 30.63/8.41 | (345) ~ (all_0_56_56 = e4) % 30.63/8.41 | % 30.63/8.41 | From (442) and (45) follows: % 30.63/8.41 | (2564) op(e4, e4) = all_0_24_24 % 30.63/8.41 | % 30.63/8.41 | From (442) and (152) follows: % 30.63/8.41 | (649) op(e1, e4) = e4 % 30.63/8.41 | % 30.63/8.41 +-Applying beta-rule and splitting (64), into two cases. % 30.63/8.41 |-Branch one: % 30.63/8.41 | (425) all_0_52_52 = e3 % 30.63/8.41 | % 30.63/8.41 | Combining equations (425,442) yields a new equation: % 30.63/8.41 | (443) e4 = e3 % 30.63/8.41 | % 30.63/8.41 | Equations (443) can reduce 30 to: % 30.63/8.41 | (303) $false % 30.63/8.41 | % 30.63/8.41 |-The branch is then unsatisfiable % 30.63/8.41 |-Branch two: % 30.63/8.41 | (521) ~ (all_0_52_52 = e3) % 30.63/8.41 | (1006) all_0_53_53 = e3 | all_0_55_55 = e3 % 30.63/8.41 | % 30.63/8.41 +-Applying beta-rule and splitting (220), into two cases. % 30.63/8.41 |-Branch one: % 30.63/8.41 | (913) all_0_60_60 = e2 % 30.63/8.41 | % 30.63/8.41 | Equations (913) can reduce 571 to: % 30.63/8.41 | (303) $false % 30.63/8.41 | % 30.63/8.41 |-The branch is then unsatisfiable % 30.63/8.41 |-Branch two: % 30.63/8.41 | (571) ~ (all_0_60_60 = e2) % 30.63/8.41 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 30.63/8.41 | % 30.63/8.41 +-Applying beta-rule and splitting (1275), into two cases. % 30.63/8.41 |-Branch one: % 30.63/8.41 | (1510) all_0_60_60 = e4 % 30.63/8.41 | % 30.63/8.41 | Equations (1510) can reduce 350 to: % 30.63/8.41 | (303) $false % 30.63/8.41 | % 30.63/8.41 |-The branch is then unsatisfiable % 30.63/8.41 |-Branch two: % 30.63/8.41 | (350) ~ (all_0_60_60 = e4) % 30.63/8.41 | (1906) all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 30.63/8.41 | % 30.63/8.41 +-Applying beta-rule and splitting (1906), into two cases. % 30.63/8.41 |-Branch one: % 30.63/8.41 | (604) all_0_60_60 = e1 % 30.63/8.41 | % 30.63/8.41 | Equations (604) can reduce 501 to: % 30.63/8.41 | (303) $false % 30.63/8.41 | % 30.63/8.41 |-The branch is then unsatisfiable % 30.63/8.41 |-Branch two: % 30.63/8.41 | (501) ~ (all_0_60_60 = e1) % 30.63/8.41 | (1933) all_0_60_60 = e3 | all_0_60_60 = e0 % 30.63/8.41 | % 30.63/8.41 +-Applying beta-rule and splitting (1933), into two cases. % 30.63/8.41 |-Branch one: % 30.63/8.41 | (1934) all_0_60_60 = e0 % 30.63/8.41 | % 30.63/8.41 | Equations (1934) can reduce 174 to: % 30.63/8.41 | (296) ~ (all_0_56_56 = e0) % 30.63/8.41 | % 30.63/8.41 | Equations (1934) can reduce 81 to: % 30.63/8.41 | (2273) ~ (all_0_57_57 = e0) % 30.63/8.41 | % 30.63/8.41 | Equations (1934) can reduce 164 to: % 30.63/8.41 | (216) ~ (all_0_59_59 = e0) % 30.63/8.41 | % 30.63/8.41 +-Applying beta-rule and splitting (1006), into two cases. % 30.63/8.41 |-Branch one: % 30.63/8.41 | (994) all_0_53_53 = e3 % 30.63/8.41 | % 30.63/8.41 | Equations (994) can reduce 121 to: % 30.63/8.41 | (996) ~ (all_0_41_41 = e3) % 30.63/8.41 | % 30.63/8.41 | Equations (994) can reduce 251 to: % 30.63/8.41 | (2589) ~ (all_0_57_57 = e3) % 30.63/8.41 | % 30.63/8.41 | Simplifying 2589 yields: % 30.63/8.41 | (2590) ~ (all_0_57_57 = e3) % 30.63/8.41 | % 30.63/8.41 | Equations (994) can reduce 140 to: % 30.63/8.41 | (70) ~ (e3 = e0) % 30.63/8.41 | % 30.63/8.41 | From (994) and (242) follows: % 30.63/8.41 | (2592) op(e3, e3) = all_0_26_26 % 30.63/8.41 | % 30.63/8.41 | From (994) and (54) follows: % 30.63/8.41 | (2593) op(e3, e1) = all_0_25_25 % 30.63/8.41 | % 30.63/8.41 +-Applying beta-rule and splitting (212), into two cases. % 30.63/8.41 |-Branch one: % 30.63/8.41 | (727) all_0_48_48 = e2 % 30.63/8.41 | % 30.63/8.41 | Equations (727) can reduce 544 to: % 30.63/8.41 | (303) $false % 30.63/8.41 | % 30.63/8.41 |-The branch is then unsatisfiable % 30.63/8.41 |-Branch two: % 30.63/8.41 | (544) ~ (all_0_48_48 = e2) % 30.63/8.41 | (730) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 30.63/8.41 | % 30.63/8.41 +-Applying beta-rule and splitting (730), into two cases. % 30.63/8.41 |-Branch one: % 30.63/8.41 | (609) all_0_48_48 = e4 % 30.63/8.41 | % 30.63/8.41 | Equations (609) can reduce 721 to: % 30.63/8.41 | (303) $false % 30.63/8.41 | % 30.63/8.41 |-The branch is then unsatisfiable % 30.63/8.41 |-Branch two: % 30.63/8.41 | (721) ~ (all_0_48_48 = e4) % 30.63/8.41 | (811) all_0_48_48 = e1 | all_0_48_48 = e0 % 30.63/8.41 | % 30.63/8.41 +-Applying beta-rule and splitting (811), into two cases. % 30.63/8.41 |-Branch one: % 30.63/8.41 | (748) all_0_48_48 = e1 % 30.63/8.41 | % 30.63/8.41 | Equations (748) can reduce 53 to: % 30.63/8.41 | (683) ~ (all_0_40_40 = e1) % 30.63/8.41 | % 30.63/8.41 | Equations (748) can reduce 48 to: % 30.63/8.41 | (855) ~ (all_0_50_50 = e1) % 30.63/8.41 | % 30.63/8.41 | Simplifying 855 yields: % 30.63/8.41 | (678) ~ (all_0_50_50 = e1) % 30.63/8.41 | % 30.63/8.41 | Equations (748) can reduce 34 to: % 30.63/8.41 | (465) ~ (e3 = e1) % 30.63/8.41 | % 30.63/8.41 | Simplifying 465 yields: % 30.63/8.41 | (136) ~ (e3 = e1) % 30.63/8.41 | % 30.63/8.41 | Equations (748) can reduce 544 to: % 30.63/8.41 | (565) ~ (e2 = e1) % 30.63/8.41 | % 30.63/8.41 | Simplifying 565 yields: % 30.63/8.41 | (144) ~ (e2 = e1) % 30.63/8.41 | % 30.63/8.41 | Equations (748) can reduce 292 to: % 30.63/8.41 | (134) ~ (e1 = e0) % 30.63/8.41 | % 30.63/8.41 | From (748) and (187) follows: % 30.63/8.41 | (2611) op(e1, e4) = all_0_16_16 % 30.63/8.41 | % 30.63/8.41 | From (748) and (103) follows: % 30.63/8.41 | (2612) op(e1, e2) = all_0_15_15 % 30.63/8.41 | % 30.63/8.41 +-Applying beta-rule and splitting (367), into two cases. % 30.63/8.41 |-Branch one: % 30.63/8.41 | (714) all_0_50_50 = e4 % 30.63/8.41 | % 30.63/8.41 | Equations (714) can reduce 238 to: % 30.63/8.41 | (712) ~ (all_0_43_43 = e4) % 30.63/8.41 | % 30.63/8.41 | Equations (714) can reduce 15 to: % 30.63/8.41 | (30) ~ (e4 = e3) % 30.63/8.41 | % 30.63/8.41 | From (714) and (129) follows: % 30.63/8.41 | (2616) op(e4, e2) = all_0_19_19 % 30.63/8.41 | % 30.63/8.41 | Instantiating formula (29) with e4, e4, all_0_7_7, all_0_40_40 and discharging atoms op(e4, e4) = all_0_7_7, op(e4, e4) = all_0_40_40, yields: % 30.63/8.41 | (2617) all_0_7_7 = all_0_40_40 % 30.63/8.41 | % 30.63/8.41 | Instantiating formula (29) with e4, e4, all_0_24_24, all_0_7_7 and discharging atoms op(e4, e4) = all_0_7_7, op(e4, e4) = all_0_24_24, yields: % 30.63/8.41 | (2618) all_0_7_7 = all_0_24_24 % 30.63/8.41 | % 30.63/8.41 | Instantiating formula (29) with e4, e2, all_0_19_19, e0 and discharging atoms op(e4, e2) = all_0_19_19, op(e4, e2) = e0, yields: % 30.63/8.41 | (2619) all_0_19_19 = e0 % 30.63/8.41 | % 30.63/8.41 | Instantiating formula (29) with e3, e3, all_0_26_26, e4 and discharging atoms op(e3, e3) = all_0_26_26, op(e3, e3) = e4, yields: % 30.63/8.42 | (2620) all_0_26_26 = e4 % 30.63/8.42 | % 30.63/8.42 | Instantiating formula (29) with e3, e1, all_0_25_25, e2 and discharging atoms op(e3, e1) = all_0_25_25, op(e3, e1) = e2, yields: % 30.63/8.42 | (2621) all_0_25_25 = e2 % 30.63/8.42 | % 30.63/8.42 | Instantiating formula (29) with e2, e2, all_0_21_21, e3 and discharging atoms op(e2, e2) = all_0_21_21, op(e2, e2) = e3, yields: % 30.63/8.42 | (2622) all_0_21_21 = e3 % 30.63/8.42 | % 30.63/8.42 | Instantiating formula (29) with e1, e4, e4, all_0_16_16 and discharging atoms op(e1, e4) = all_0_16_16, op(e1, e4) = e4, yields: % 30.63/8.42 | (2623) all_0_16_16 = e4 % 30.63/8.42 | % 30.63/8.42 | Instantiating formula (29) with e1, e2, all_0_15_15, e2 and discharging atoms op(e1, e2) = all_0_15_15, op(e1, e2) = e2, yields: % 30.63/8.42 | (2624) all_0_15_15 = e2 % 30.63/8.42 | % 30.63/8.42 | Instantiating formula (29) with e0, e3, all_0_18_18, all_0_57_57 and discharging atoms op(e0, e3) = all_0_18_18, op(e0, e3) = all_0_57_57, yields: % 30.63/8.42 | (2625) all_0_18_18 = all_0_57_57 % 30.63/8.42 | % 30.63/8.42 | Instantiating formula (29) with e0, e2, all_0_17_17, e4 and discharging atoms op(e0, e2) = all_0_17_17, op(e0, e2) = e4, yields: % 30.63/8.42 | (2626) all_0_17_17 = e4 % 30.63/8.42 | % 30.63/8.42 | Combining equations (2617,2618) yields a new equation: % 30.63/8.42 | (2627) all_0_24_24 = all_0_40_40 % 30.63/8.42 | % 30.63/8.42 | From (2627) and (2564) follows: % 30.63/8.42 | (168) op(e4, e4) = all_0_40_40 % 30.63/8.42 | % 30.63/8.42 | From (2619) and (2616) follows: % 30.63/8.42 | (339) op(e4, e2) = e0 % 30.63/8.42 | % 30.63/8.42 | From (2620) and (2592) follows: % 30.63/8.42 | (22) op(e3, e3) = e4 % 30.63/8.42 | % 30.63/8.42 | From (2621) and (2593) follows: % 30.63/8.42 | (266) op(e3, e1) = e2 % 30.63/8.42 | % 30.63/8.42 | From (2622) and (2490) follows: % 30.63/8.42 | (83) op(e2, e2) = e3 % 30.63/8.42 | % 30.63/8.42 | From (2623) and (2611) follows: % 30.63/8.42 | (649) op(e1, e4) = e4 % 30.63/8.42 | % 30.63/8.42 | From (2624) and (2612) follows: % 30.63/8.42 | (282) op(e1, e2) = e2 % 30.63/8.42 | % 30.63/8.42 | From (2625) and (2548) follows: % 30.63/8.42 | (5) op(e0, e3) = all_0_57_57 % 30.63/8.42 | % 30.63/8.42 | From (2626) and (2549) follows: % 30.63/8.42 | (353) op(e0, e2) = e4 % 30.63/8.42 | % 30.63/8.42 +-Applying beta-rule and splitting (104), into two cases. % 30.63/8.42 |-Branch one: % 30.63/8.42 | (945) all_0_41_41 = e2 % 30.63/8.42 | % 30.63/8.42 | Equations (945) can reduce 151 to: % 30.63/8.42 | (939) ~ (all_0_40_40 = e2) % 30.63/8.42 | % 30.63/8.42 | Equations (945) can reduce 43 to: % 30.63/8.42 | (2639) ~ (all_0_43_43 = e2) % 30.63/8.42 | % 30.63/8.42 | Simplifying 2639 yields: % 30.63/8.42 | (253) ~ (all_0_43_43 = e2) % 30.63/8.42 | % 30.63/8.42 | Equations (945) can reduce 11 to: % 30.63/8.42 | (376) ~ (all_0_57_57 = e2) % 30.63/8.42 | % 30.63/8.42 | Simplifying 376 yields: % 30.63/8.42 | (377) ~ (all_0_57_57 = e2) % 30.63/8.42 | % 30.63/8.42 | Equations (945) can reduce 192 to: % 30.63/8.42 | (261) ~ (e4 = e2) % 30.63/8.42 | % 30.63/8.42 | Simplifying 261 yields: % 30.63/8.42 | (231) ~ (e4 = e2) % 30.63/8.42 | % 30.63/8.42 | Equations (945) can reduce 996 to: % 30.63/8.42 | (577) ~ (e3 = e2) % 30.63/8.42 | % 30.63/8.42 | Simplifying 577 yields: % 30.63/8.42 | (223) ~ (e3 = e2) % 30.63/8.42 | % 30.63/8.42 | Equations (945) can reduce 326 to: % 30.63/8.42 | (51) ~ (e2 = e0) % 30.63/8.42 | % 30.63/8.42 | From (945) and (167) follows: % 30.63/8.42 | (2648) op(e4, e3) = e2 % 30.63/8.42 | % 30.63/8.42 +-Applying beta-rule and splitting (250), into two cases. % 30.63/8.42 |-Branch one: % 30.63/8.42 | (897) all_0_57_57 = e2 % 30.63/8.42 | % 30.63/8.42 | Equations (897) can reduce 377 to: % 30.63/8.42 | (303) $false % 30.63/8.42 | % 30.63/8.42 |-The branch is then unsatisfiable % 30.63/8.42 |-Branch two: % 30.63/8.42 | (377) ~ (all_0_57_57 = e2) % 30.63/8.42 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 30.63/8.42 | % 30.63/8.42 +-Applying beta-rule and splitting (221), into two cases. % 30.63/8.42 |-Branch one: % 30.63/8.42 | (696) all_0_41_41 = e1 % 30.63/8.42 | % 30.63/8.42 | Combining equations (696,945) yields a new equation: % 30.63/8.42 | (585) e2 = e1 % 30.63/8.42 | % 30.63/8.42 | Equations (585) can reduce 144 to: % 30.63/8.42 | (303) $false % 30.63/8.42 | % 30.63/8.42 |-The branch is then unsatisfiable % 30.63/8.42 |-Branch two: % 30.63/8.42 | (699) ~ (all_0_41_41 = e1) % 30.63/8.42 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 30.63/8.42 | % 30.63/8.42 +-Applying beta-rule and splitting (96), into two cases. % 30.63/8.42 |-Branch one: % 30.63/8.42 | (917) all_0_40_40 = e2 % 30.63/8.42 | % 30.63/8.42 | Equations (917) can reduce 939 to: % 30.63/8.42 | (303) $false % 30.63/8.42 | % 30.63/8.42 |-The branch is then unsatisfiable % 30.63/8.42 |-Branch two: % 30.63/8.42 | (939) ~ (all_0_40_40 = e2) % 30.63/8.42 | (944) all_0_45_45 = e2 | all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 30.63/8.42 | % 30.63/8.42 +-Applying beta-rule and splitting (944), into two cases. % 30.63/8.42 |-Branch one: % 30.63/8.42 | (951) all_0_45_45 = e2 % 30.63/8.42 | % 30.63/8.42 | Combining equations (951,287) yields a new equation: % 30.63/8.42 | (403) e2 = e0 % 30.63/8.42 | % 30.63/8.42 | Simplifying 403 yields: % 30.63/8.42 | (385) e2 = e0 % 30.63/8.42 | % 30.63/8.42 | Equations (385) can reduce 51 to: % 30.63/8.42 | (303) $false % 30.63/8.42 | % 30.63/8.42 |-The branch is then unsatisfiable % 30.63/8.42 |-Branch two: % 30.63/8.42 | (254) ~ (all_0_45_45 = e2) % 30.63/8.42 | (956) all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 30.63/8.42 | % 30.63/8.42 +-Applying beta-rule and splitting (233), into two cases. % 30.63/8.42 |-Branch one: % 30.63/8.42 | (917) all_0_40_40 = e2 % 30.63/8.42 | % 30.63/8.42 | Equations (917) can reduce 939 to: % 30.63/8.42 | (303) $false % 30.63/8.42 | % 30.63/8.42 |-The branch is then unsatisfiable % 30.63/8.42 |-Branch two: % 30.63/8.42 | (939) ~ (all_0_40_40 = e2) % 30.63/8.42 | (2671) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 30.63/8.42 | % 30.63/8.42 +-Applying beta-rule and splitting (2154), into two cases. % 30.63/8.42 |-Branch one: % 30.63/8.42 | (1580) all_0_49_49 = e1 % 30.63/8.42 | % 30.63/8.42 | Combining equations (384,1580) yields a new equation: % 30.63/8.42 | (590) e1 = e0 % 30.63/8.42 | % 30.63/8.42 | Equations (590) can reduce 134 to: % 30.63/8.42 | (303) $false % 30.63/8.42 | % 30.63/8.42 |-The branch is then unsatisfiable % 30.63/8.42 |-Branch two: % 30.63/8.42 | (506) ~ (all_0_49_49 = e1) % 30.63/8.42 | (2676) all_0_53_53 = e1 | all_0_57_57 = e1 % 30.63/8.42 | % 30.63/8.42 +-Applying beta-rule and splitting (61), into two cases. % 30.63/8.42 |-Branch one: % 30.63/8.42 | (580) all_0_56_56 = e2 % 30.63/8.42 | % 30.63/8.42 | Equations (580) can reduce 57 to: % 30.63/8.42 | (939) ~ (all_0_40_40 = e2) % 30.63/8.42 | % 30.63/8.42 +-Applying beta-rule and splitting (145), into two cases. % 30.63/8.42 |-Branch one: % 30.63/8.42 | (1102) all_0_40_40 = e3 % 30.63/8.42 | % 30.63/8.42 | Equations (1102) can reduce 8 to: % 30.63/8.42 | (433) ~ (all_0_43_43 = e3) % 30.63/8.42 | % 30.63/8.42 | Simplifying 433 yields: % 30.63/8.42 | (434) ~ (all_0_43_43 = e3) % 30.63/8.42 | % 30.63/8.42 | Equations (1102) can reduce 939 to: % 30.63/8.42 | (223) ~ (e3 = e2) % 30.63/8.42 | % 30.63/8.42 | From (1102) and (168) follows: % 30.63/8.42 | (1730) op(e4, e4) = e3 % 30.63/8.42 | % 30.63/8.42 +-Applying beta-rule and splitting (137), into two cases. % 30.63/8.42 |-Branch one: % 30.63/8.42 | (447) all_0_43_43 = e3 % 30.63/8.42 | % 30.63/8.42 | Equations (447) can reduce 434 to: % 30.63/8.42 | (303) $false % 30.63/8.42 | % 30.63/8.42 |-The branch is then unsatisfiable % 30.63/8.42 |-Branch two: % 30.63/8.42 | (434) ~ (all_0_43_43 = e3) % 30.63/8.42 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 30.63/8.42 | % 30.63/8.42 +-Applying beta-rule and splitting (191), into two cases. % 30.63/8.42 |-Branch one: % 30.63/8.42 | (965) all_0_43_43 = e2 % 30.63/8.42 | % 30.63/8.42 | Equations (965) can reduce 253 to: % 30.63/8.42 | (303) $false % 30.63/8.42 | % 30.63/8.42 |-The branch is then unsatisfiable % 30.63/8.42 |-Branch two: % 30.63/8.42 | (253) ~ (all_0_43_43 = e2) % 30.63/8.42 | (1634) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e1 % 30.63/8.42 | % 30.63/8.42 +-Applying beta-rule and splitting (450), into two cases. % 30.63/8.42 |-Branch one: % 30.63/8.42 | (451) all_0_46_46 = e3 % 30.63/8.42 | % 30.63/8.42 | Combining equations (451,252) yields a new equation: % 30.63/8.42 | (452) e3 = e2 % 30.63/8.42 | % 30.63/8.42 | Simplifying 452 yields: % 30.63/8.42 | (453) e3 = e2 % 30.63/8.42 | % 30.63/8.42 | Equations (453) can reduce 223 to: % 30.63/8.42 | (303) $false % 30.63/8.42 | % 30.63/8.42 |-The branch is then unsatisfiable % 30.63/8.42 |-Branch two: % 30.63/8.42 | (455) ~ (all_0_46_46 = e3) % 30.63/8.42 | (456) all_0_59_59 = e3 % 30.63/8.42 | % 30.63/8.42 | Equations (456) can reduce 249 to: % 30.63/8.42 | (434) ~ (all_0_43_43 = e3) % 30.63/8.42 | % 30.63/8.42 | Equations (456) can reduce 222 to: % 30.63/8.42 | (2590) ~ (all_0_57_57 = e3) % 30.63/8.42 | % 30.63/8.42 | From (456) and (90) follows: % 30.63/8.42 | (461) op(e0, e1) = e3 % 30.63/8.42 | % 30.63/8.42 +-Applying beta-rule and splitting (100), into two cases. % 30.63/8.42 |-Branch one: % 30.63/8.42 | (618) all_0_43_43 = e1 % 30.63/8.42 | % 30.63/8.42 | Equations (618) can reduce 434 to: % 30.63/8.42 | (465) ~ (e3 = e1) % 30.63/8.42 | % 30.63/8.42 | Simplifying 465 yields: % 30.63/8.42 | (136) ~ (e3 = e1) % 30.63/8.42 | % 30.63/8.42 +-Applying beta-rule and splitting (2676), into two cases. % 30.63/8.42 |-Branch one: % 30.63/8.42 | (462) all_0_53_53 = e1 % 30.63/8.42 | % 30.63/8.42 | Combining equations (994,462) yields a new equation: % 30.63/8.42 | (680) e3 = e1 % 30.63/8.42 | % 30.63/8.42 | Simplifying 680 yields: % 30.63/8.42 | (601) e3 = e1 % 30.63/8.42 | % 30.63/8.42 | Equations (601) can reduce 136 to: % 30.63/8.42 | (303) $false % 30.63/8.42 | % 30.63/8.42 |-The branch is then unsatisfiable % 30.63/8.42 |-Branch two: % 30.63/8.42 | (509) ~ (all_0_53_53 = e1) % 30.63/8.42 | (589) all_0_57_57 = e1 % 30.63/8.42 | % 30.63/8.42 | Equations (589) can reduce 2590 to: % 30.63/8.42 | (465) ~ (e3 = e1) % 30.63/8.42 | % 30.63/8.42 | Simplifying 465 yields: % 30.63/8.42 | (136) ~ (e3 = e1) % 30.63/8.42 | % 30.63/8.42 | Equations (589) can reduce 2273 to: % 30.63/8.42 | (134) ~ (e1 = e0) % 30.63/8.42 | % 30.63/8.42 +-Applying beta-rule and splitting (62), into two cases. % 30.63/8.42 |-Branch one: % 30.63/8.42 | (631) unit = e2 % 30.63/8.42 | % 30.63/8.42 | From (631) and (232) follows: % 30.63/8.42 | (2714) op(e2, e3) = e3 % 30.63/8.42 | % 30.63/8.42 | From (631) and (74) follows: % 30.63/8.42 | (2715) op(e2, e2) = e2 % 30.63/8.42 | % 30.63/8.42 | From (631) and (190) follows: % 30.63/8.42 | (2716) op(e1, e2) = e1 % 30.63/8.42 | % 30.63/8.42 | Instantiating formula (29) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields: % 30.63/8.42 | (497) e3 = e0 % 30.63/8.42 | % 30.63/8.42 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 30.63/8.42 | (453) e3 = e2 % 30.63/8.42 | % 30.63/8.42 | Instantiating formula (29) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 30.63/8.42 | (585) e2 = e1 % 30.63/8.42 | % 30.63/8.42 | Combining equations (453,497) yields a new equation: % 30.63/8.42 | (403) e2 = e0 % 30.63/8.42 | % 30.63/8.42 | Simplifying 403 yields: % 30.63/8.42 | (385) e2 = e0 % 30.63/8.42 | % 30.63/8.42 | Combining equations (385,585) yields a new equation: % 30.63/8.42 | (590) e1 = e0 % 30.63/8.42 | % 30.63/8.42 | Equations (590) can reduce 134 to: % 30.63/8.42 | (303) $false % 30.63/8.42 | % 30.63/8.42 |-The branch is then unsatisfiable % 30.63/8.42 |-Branch two: % 30.63/8.42 | (599) ~ (unit = e2) % 30.63/8.42 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 30.63/8.42 | % 30.63/8.42 +-Applying beta-rule and splitting (634), into two cases. % 30.63/8.42 |-Branch one: % 30.63/8.42 | (635) unit = e4 % 30.63/8.42 | % 30.63/8.42 | From (635) and (232) follows: % 30.63/8.43 | (1844) op(e4, e3) = e3 % 30.63/8.43 | % 30.63/8.43 | From (635) and (130) follows: % 30.63/8.43 | (1177) op(e4, e4) = e4 % 30.63/8.43 | % 30.63/8.43 | From (635) and (98) follows: % 30.63/8.43 | (2729) op(e3, e4) = e3 % 30.63/8.43 | % 30.63/8.43 | From (635) and (190) follows: % 30.63/8.43 | (1178) op(e1, e4) = e1 % 30.63/8.43 | % 30.63/8.43 | Instantiating formula (29) with e4, e4, e4, e3 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e3, yields: % 30.63/8.43 | (443) e4 = e3 % 30.63/8.43 | % 30.63/8.43 | Instantiating formula (29) with e4, e3, e3, e2 and discharging atoms op(e4, e3) = e3, op(e4, e3) = e2, yields: % 30.63/8.43 | (453) e3 = e2 % 30.63/8.43 | % 30.63/8.43 | Instantiating formula (29) with e3, e4, e3, e0 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e0, yields: % 30.63/8.43 | (497) e3 = e0 % 30.63/8.43 | % 30.63/8.43 | Instantiating formula (29) with e1, e4, e1, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields: % 30.63/8.43 | (541) e4 = e1 % 30.63/8.43 | % 30.63/8.43 | Combining equations (443,541) yields a new equation: % 30.63/8.43 | (680) e3 = e1 % 30.63/8.43 | % 30.63/8.43 | Simplifying 680 yields: % 30.63/8.43 | (601) e3 = e1 % 30.63/8.43 | % 30.63/8.43 | Combining equations (497,453) yields a new equation: % 30.63/8.43 | (385) e2 = e0 % 30.63/8.43 | % 30.63/8.43 | Combining equations (601,453) yields a new equation: % 30.63/8.43 | (585) e2 = e1 % 30.63/8.43 | % 30.63/8.43 | Combining equations (585,385) yields a new equation: % 30.63/8.43 | (670) e1 = e0 % 30.63/8.43 | % 30.63/8.43 | Simplifying 670 yields: % 30.63/8.43 | (590) e1 = e0 % 30.63/8.43 | % 30.63/8.43 | Equations (590) can reduce 134 to: % 30.63/8.43 | (303) $false % 30.63/8.43 | % 30.63/8.43 |-The branch is then unsatisfiable % 30.63/8.43 |-Branch two: % 30.63/8.43 | (484) ~ (unit = e4) % 30.63/8.43 | (647) unit = e3 | unit = e1 | unit = e0 % 30.63/8.43 | % 30.63/8.43 +-Applying beta-rule and splitting (647), into two cases. % 30.63/8.43 |-Branch one: % 30.63/8.43 | (648) unit = e1 % 30.63/8.43 | % 30.63/8.43 | Equations (648) can reduce 510 to: % 30.63/8.43 | (303) $false % 30.63/8.43 | % 30.63/8.43 |-The branch is then unsatisfiable % 30.63/8.43 |-Branch two: % 30.63/8.43 | (510) ~ (unit = e1) % 30.63/8.43 | (659) unit = e3 | unit = e0 % 30.63/8.43 | % 30.63/8.43 +-Applying beta-rule and splitting (659), into two cases. % 30.63/8.43 |-Branch one: % 30.63/8.43 | (660) unit = e0 % 30.63/8.43 | % 30.63/8.43 | From (660) and (38) follows: % 30.63/8.43 | (2749) op(e0, e1) = e1 % 30.63/8.43 | % 30.63/8.43 | Instantiating formula (29) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields: % 30.63/8.43 | (601) e3 = e1 % 30.63/8.43 | % 30.63/8.43 | Equations (601) can reduce 136 to: % 30.63/8.43 | (303) $false % 30.63/8.43 | % 30.63/8.43 |-The branch is then unsatisfiable % 30.63/8.43 |-Branch two: % 30.63/8.43 | (537) ~ (unit = e0) % 30.63/8.43 | (674) unit = e3 % 30.63/8.43 | % 30.63/8.43 | From (674) and (17) follows: % 30.63/8.43 | (1207) op(e3, e4) = e4 % 30.63/8.43 | % 30.63/8.43 | From (674) and (38) follows: % 30.63/8.43 | (675) op(e3, e1) = e1 % 30.63/8.43 | % 30.63/8.43 | From (674) and (130) follows: % 30.63/8.43 | (2756) op(e4, e3) = e4 % 30.63/8.43 | % 30.63/8.43 | From (674) and (98) follows: % 30.63/8.43 | (1208) op(e3, e3) = e3 % 30.63/8.43 | % 30.63/8.43 | Instantiating formula (29) with e4, e3, e4, e2 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e2, yields: % 30.63/8.43 | (470) e4 = e2 % 30.63/8.43 | % 30.63/8.43 | Instantiating formula (29) with e3, e4, e4, e0 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e0, yields: % 30.63/8.43 | (654) e4 = e0 % 30.63/8.43 | % 30.63/8.43 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 30.63/8.43 | (443) e4 = e3 % 30.63/8.43 | % 30.63/8.43 | Instantiating formula (29) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 30.63/8.43 | (585) e2 = e1 % 30.63/8.43 | % 30.63/8.43 | Combining equations (654,443) yields a new equation: % 30.63/8.43 | (497) e3 = e0 % 30.63/8.43 | % 30.63/8.43 | Combining equations (470,443) yields a new equation: % 30.63/8.43 | (453) e3 = e2 % 30.63/8.43 | % 30.63/8.43 | Combining equations (453,497) yields a new equation: % 30.63/8.43 | (403) e2 = e0 % 30.63/8.43 | % 30.63/8.43 | Simplifying 403 yields: % 30.63/8.43 | (385) e2 = e0 % 30.63/8.43 | % 30.63/8.43 | Combining equations (385,585) yields a new equation: % 30.63/8.43 | (590) e1 = e0 % 30.63/8.43 | % 30.63/8.43 | Equations (590) can reduce 134 to: % 30.63/8.43 | (303) $false % 30.63/8.43 | % 30.63/8.43 |-The branch is then unsatisfiable % 30.63/8.43 |-Branch two: % 30.63/8.43 | (622) ~ (all_0_43_43 = e1) % 30.63/8.43 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 30.63/8.43 | % 30.63/8.43 +-Applying beta-rule and splitting (1634), into two cases. % 30.63/8.43 |-Branch one: % 30.63/8.43 | (614) all_0_43_43 = e4 % 30.63/8.43 | % 30.63/8.43 | Equations (614) can reduce 712 to: % 30.63/8.43 | (303) $false % 30.63/8.43 | % 30.63/8.43 |-The branch is then unsatisfiable % 30.63/8.43 |-Branch two: % 30.63/8.43 | (712) ~ (all_0_43_43 = e4) % 30.63/8.43 | (2084) all_0_43_43 = e3 | all_0_43_43 = e1 % 30.63/8.43 | % 30.63/8.43 +-Applying beta-rule and splitting (2084), into two cases. % 30.63/8.43 |-Branch one: % 30.63/8.43 | (618) all_0_43_43 = e1 % 30.63/8.43 | % 30.63/8.43 | Equations (618) can reduce 622 to: % 30.63/8.43 | (303) $false % 30.63/8.43 | % 30.63/8.43 |-The branch is then unsatisfiable % 30.63/8.43 |-Branch two: % 30.63/8.43 | (622) ~ (all_0_43_43 = e1) % 30.63/8.43 | (447) all_0_43_43 = e3 % 30.63/8.43 | % 30.63/8.43 | Equations (447) can reduce 434 to: % 30.63/8.43 | (303) $false % 30.63/8.43 | % 30.63/8.43 |-The branch is then unsatisfiable % 30.63/8.43 |-Branch two: % 30.63/8.43 | (432) ~ (all_0_40_40 = e3) % 30.63/8.43 | (1105) all_0_45_45 = e3 | all_0_52_52 = e3 | all_0_56_56 = e3 % 30.63/8.43 | % 30.63/8.43 +-Applying beta-rule and splitting (1105), into two cases. % 30.63/8.43 |-Branch one: % 30.63/8.43 | (493) all_0_45_45 = e3 % 30.63/8.43 | % 30.63/8.43 | Combining equations (493,287) yields a new equation: % 30.63/8.43 | (496) e3 = e0 % 30.63/8.43 | % 30.63/8.43 | Simplifying 496 yields: % 30.63/8.43 | (497) e3 = e0 % 30.63/8.43 | % 30.63/8.43 | Equations (497) can reduce 70 to: % 30.63/8.43 | (303) $false % 30.63/8.43 | % 30.63/8.43 |-The branch is then unsatisfiable % 30.63/8.43 |-Branch two: % 30.63/8.43 | (1109) ~ (all_0_45_45 = e3) % 30.63/8.43 | (1110) all_0_52_52 = e3 | all_0_56_56 = e3 % 30.63/8.43 | % 30.63/8.43 +-Applying beta-rule and splitting (1110), into two cases. % 30.63/8.43 |-Branch one: % 30.63/8.43 | (425) all_0_52_52 = e3 % 30.63/8.43 | % 30.63/8.43 | Combining equations (442,425) yields a new equation: % 30.63/8.43 | (718) e4 = e3 % 30.63/8.43 | % 30.63/8.43 | Simplifying 718 yields: % 30.63/8.43 | (443) e4 = e3 % 30.63/8.43 | % 30.63/8.43 | Equations (443) can reduce 30 to: % 30.63/8.43 | (303) $false % 30.63/8.43 | % 30.63/8.43 |-The branch is then unsatisfiable % 30.63/8.43 |-Branch two: % 30.63/8.43 | (521) ~ (all_0_52_52 = e3) % 30.63/8.43 | (1111) all_0_56_56 = e3 % 30.63/8.43 | % 30.63/8.43 | Combining equations (580,1111) yields a new equation: % 30.63/8.43 | (453) e3 = e2 % 30.63/8.43 | % 30.63/8.43 | Equations (453) can reduce 223 to: % 30.63/8.43 | (303) $false % 30.63/8.43 | % 30.63/8.43 |-The branch is then unsatisfiable % 30.63/8.43 |-Branch two: % 30.63/8.43 | (594) ~ (all_0_56_56 = e2) % 30.63/8.43 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 30.63/8.43 | % 30.63/8.43 +-Applying beta-rule and splitting (2671), into two cases. % 30.63/8.43 |-Branch one: % 30.63/8.43 | (723) all_0_40_40 = e4 % 30.63/8.43 | % 30.63/8.43 | Equations (723) can reduce 844 to: % 30.63/8.43 | (303) $false % 30.63/8.43 | % 30.63/8.43 |-The branch is then unsatisfiable % 30.63/8.43 |-Branch two: % 30.63/8.43 | (844) ~ (all_0_40_40 = e4) % 30.63/8.43 | (2800) all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 30.63/8.43 | % 30.63/8.43 +-Applying beta-rule and splitting (2676), into two cases. % 30.63/8.43 |-Branch one: % 30.63/8.43 | (462) all_0_53_53 = e1 % 30.63/8.43 | % 30.63/8.43 | Combining equations (462,994) yields a new equation: % 30.63/8.43 | (601) e3 = e1 % 30.63/8.43 | % 30.63/8.43 | Equations (601) can reduce 136 to: % 30.63/8.43 | (303) $false % 30.63/8.43 | % 30.63/8.43 |-The branch is then unsatisfiable % 30.63/8.43 |-Branch two: % 30.63/8.43 | (509) ~ (all_0_53_53 = e1) % 30.63/8.43 | (589) all_0_57_57 = e1 % 30.63/8.43 | % 30.63/8.43 | Equations (589) can reduce 202 to: % 30.63/8.43 | (605) ~ (e4 = e1) % 30.63/8.43 | % 30.63/8.43 | Simplifying 605 yields: % 30.63/8.43 | (247) ~ (e4 = e1) % 30.63/8.43 | % 30.63/8.43 | Equations (589) can reduce 377 to: % 30.63/8.43 | (565) ~ (e2 = e1) % 30.63/8.43 | % 30.63/8.43 | Simplifying 565 yields: % 30.63/8.43 | (144) ~ (e2 = e1) % 30.63/8.43 | % 30.63/8.43 +-Applying beta-rule and splitting (100), into two cases. % 30.63/8.43 |-Branch one: % 30.63/8.43 | (618) all_0_43_43 = e1 % 30.63/8.43 | % 30.63/8.43 | Equations (618) can reduce 253 to: % 30.63/8.43 | (565) ~ (e2 = e1) % 30.63/8.43 | % 30.63/8.43 | Simplifying 565 yields: % 30.63/8.43 | (144) ~ (e2 = e1) % 30.63/8.43 | % 30.63/8.43 +-Applying beta-rule and splitting (141), into two cases. % 30.63/8.43 |-Branch one: % 30.63/8.43 | (580) all_0_56_56 = e2 % 30.63/8.43 | % 30.63/8.43 | Equations (580) can reduce 594 to: % 30.63/8.43 | (303) $false % 30.63/8.43 | % 30.63/8.43 |-The branch is then unsatisfiable % 30.63/8.43 |-Branch two: % 30.63/8.43 | (594) ~ (all_0_56_56 = e2) % 30.63/8.43 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 30.63/8.43 | % 30.63/8.43 +-Applying beta-rule and splitting (956), into two cases. % 30.63/8.43 |-Branch one: % 30.63/8.43 | (727) all_0_48_48 = e2 % 30.63/8.43 | % 30.63/8.43 | Combining equations (748,727) yields a new equation: % 30.63/8.43 | (585) e2 = e1 % 30.63/8.43 | % 30.63/8.43 | Equations (585) can reduce 144 to: % 30.63/8.43 | (303) $false % 30.63/8.43 | % 30.63/8.43 |-The branch is then unsatisfiable % 30.63/8.43 |-Branch two: % 30.63/8.43 | (544) ~ (all_0_48_48 = e2) % 30.63/8.43 | (975) all_0_52_52 = e2 | all_0_56_56 = e2 % 30.63/8.43 | % 30.63/8.43 +-Applying beta-rule and splitting (975), into two cases. % 30.63/8.43 |-Branch one: % 30.63/8.43 | (980) all_0_52_52 = e2 % 30.63/8.43 | % 30.63/8.43 | Combining equations (980,442) yields a new equation: % 30.63/8.43 | (470) e4 = e2 % 30.63/8.43 | % 30.63/8.43 | Equations (470) can reduce 231 to: % 30.63/8.43 | (303) $false % 30.63/8.43 | % 30.63/8.43 |-The branch is then unsatisfiable % 30.63/8.43 |-Branch two: % 30.63/8.43 | (273) ~ (all_0_52_52 = e2) % 30.63/8.43 | (580) all_0_56_56 = e2 % 30.63/8.43 | % 30.63/8.43 | Equations (580) can reduce 594 to: % 30.63/8.43 | (303) $false % 30.63/8.43 | % 30.63/8.43 |-The branch is then unsatisfiable % 30.63/8.43 |-Branch two: % 30.63/8.43 | (622) ~ (all_0_43_43 = e1) % 30.63/8.43 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 30.63/8.43 | % 30.63/8.43 +-Applying beta-rule and splitting (2800), into two cases. % 30.63/8.43 |-Branch one: % 30.63/8.43 | (624) all_0_40_40 = e1 % 30.63/8.43 | % 30.63/8.43 | Equations (624) can reduce 683 to: % 30.63/8.43 | (303) $false % 30.63/8.43 | % 30.63/8.43 |-The branch is then unsatisfiable % 30.63/8.43 |-Branch two: % 30.63/8.43 | (683) ~ (all_0_40_40 = e1) % 30.63/8.43 | (2833) all_0_40_40 = e3 | all_0_40_40 = e0 % 30.63/8.43 | % 30.63/8.43 +-Applying beta-rule and splitting (2833), into two cases. % 30.63/8.43 |-Branch one: % 30.63/8.43 | (2834) all_0_40_40 = e0 % 30.63/8.43 | % 30.63/8.43 | Equations (2834) can reduce 288 to: % 30.63/8.43 | (303) $false % 30.63/8.43 | % 30.63/8.43 |-The branch is then unsatisfiable % 30.63/8.43 |-Branch two: % 30.63/8.43 | (288) ~ (all_0_40_40 = e0) % 30.63/8.43 | (1102) all_0_40_40 = e3 % 30.63/8.43 | % 30.63/8.43 | Equations (1102) can reduce 683 to: % 30.63/8.43 | (136) ~ (e3 = e1) % 30.63/8.43 | % 30.63/8.43 +-Applying beta-rule and splitting (896), into two cases. % 30.63/8.43 |-Branch one: % 30.63/8.43 | (897) all_0_57_57 = e2 % 30.63/8.43 | % 30.63/8.43 | Combining equations (589,897) yields a new equation: % 30.63/8.43 | (585) e2 = e1 % 30.63/8.43 | % 30.63/8.43 | Equations (585) can reduce 144 to: % 30.63/8.43 | (303) $false % 30.63/8.43 | % 30.63/8.43 |-The branch is then unsatisfiable % 30.63/8.43 |-Branch two: % 30.63/8.43 | (377) ~ (all_0_57_57 = e2) % 30.63/8.43 | (902) all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 30.63/8.43 | % 30.63/8.43 | Equations (589) can reduce 377 to: % 30.63/8.43 | (565) ~ (e2 = e1) % 30.63/8.43 | % 30.63/8.43 | Simplifying 565 yields: % 30.63/8.43 | (144) ~ (e2 = e1) % 30.63/8.43 | % 30.63/8.43 +-Applying beta-rule and splitting (44), into two cases. % 30.63/8.43 |-Branch one: % 30.63/8.43 | (624) all_0_40_40 = e1 % 30.63/8.43 | % 30.63/8.43 | Combining equations (624,1102) yields a new equation: % 30.63/8.43 | (601) e3 = e1 % 30.63/8.43 | % 30.63/8.43 | Equations (601) can reduce 136 to: % 30.63/8.43 | (303) $false % 30.63/8.43 | % 30.63/8.43 |-The branch is then unsatisfiable % 30.63/8.43 |-Branch two: % 30.63/8.43 | (683) ~ (all_0_40_40 = e1) % 30.63/8.43 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 30.63/8.43 | % 30.63/8.43 +-Applying beta-rule and splitting (688), into two cases. % 30.63/8.43 |-Branch one: % 30.63/8.43 | (696) all_0_41_41 = e1 % 30.63/8.43 | % 30.63/8.43 | Combining equations (696,945) yields a new equation: % 30.63/8.43 | (585) e2 = e1 % 30.63/8.43 | % 30.63/8.43 | Equations (585) can reduce 144 to: % 30.63/8.43 | (303) $false % 30.63/8.43 | % 30.63/8.43 |-The branch is then unsatisfiable % 30.63/8.43 |-Branch two: % 30.63/8.43 | (699) ~ (all_0_41_41 = e1) % 30.63/8.43 | (700) all_0_43_43 = e1 | all_0_44_44 = e1 % 30.63/8.43 | % 30.63/8.43 +-Applying beta-rule and splitting (700), into two cases. % 30.63/8.43 |-Branch one: % 30.63/8.43 | (618) all_0_43_43 = e1 % 30.63/8.43 | % 30.63/8.43 | Equations (618) can reduce 622 to: % 30.63/8.43 | (303) $false % 30.63/8.43 | % 30.63/8.43 |-The branch is then unsatisfiable % 30.63/8.43 |-Branch two: % 30.63/8.43 | (622) ~ (all_0_43_43 = e1) % 30.63/8.43 | (705) all_0_44_44 = e1 % 30.63/8.43 | % 30.63/8.43 | Combining equations (705,1096) yields a new equation: % 30.63/8.43 | (541) e4 = e1 % 30.63/8.43 | % 30.63/8.43 | Equations (541) can reduce 247 to: % 30.63/8.43 | (303) $false % 30.63/8.43 | % 30.63/8.43 |-The branch is then unsatisfiable % 30.63/8.44 |-Branch two: % 30.63/8.44 | (369) ~ (all_0_41_41 = e2) % 30.63/8.44 | (2863) all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_57_57 = e2 % 30.63/8.44 | % 30.63/8.44 +-Applying beta-rule and splitting (180), into two cases. % 30.63/8.44 |-Branch one: % 30.63/8.44 | (945) all_0_41_41 = e2 % 30.63/8.44 | % 30.63/8.44 | Equations (945) can reduce 369 to: % 30.63/8.44 | (303) $false % 30.63/8.44 | % 30.63/8.44 |-The branch is then unsatisfiable % 30.63/8.44 |-Branch two: % 30.63/8.44 | (369) ~ (all_0_41_41 = e2) % 30.63/8.44 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 30.63/8.44 | % 30.63/8.44 +-Applying beta-rule and splitting (1017), into two cases. % 30.63/8.44 |-Branch one: % 30.63/8.44 | (696) all_0_41_41 = e1 % 30.63/8.44 | % 30.63/8.44 | Equations (696) can reduce 43 to: % 30.63/8.44 | (1020) ~ (all_0_43_43 = e1) % 30.63/8.44 | % 30.63/8.44 | Simplifying 1020 yields: % 30.63/8.44 | (622) ~ (all_0_43_43 = e1) % 30.63/8.44 | % 30.63/8.44 | Equations (696) can reduce 192 to: % 30.63/8.44 | (605) ~ (e4 = e1) % 30.63/8.44 | % 30.63/8.44 | Simplifying 605 yields: % 30.63/8.44 | (247) ~ (e4 = e1) % 30.63/8.44 | % 30.63/8.44 +-Applying beta-rule and splitting (250), into two cases. % 30.63/8.44 |-Branch one: % 30.63/8.44 | (897) all_0_57_57 = e2 % 30.63/8.44 | % 30.63/8.44 | Equations (897) can reduce 172 to: % 30.63/8.44 | (594) ~ (all_0_56_56 = e2) % 30.63/8.44 | % 30.63/8.44 | Equations (897) can reduce 222 to: % 30.63/8.44 | (259) ~ (all_0_59_59 = e2) % 30.63/8.44 | % 30.63/8.44 | Simplifying 259 yields: % 30.63/8.44 | (260) ~ (all_0_59_59 = e2) % 30.63/8.44 | % 30.63/8.44 | Equations (897) can reduce 202 to: % 30.63/8.44 | (261) ~ (e4 = e2) % 30.63/8.44 | % 30.63/8.44 | Simplifying 261 yields: % 30.63/8.44 | (231) ~ (e4 = e2) % 30.63/8.44 | % 30.63/8.44 | Equations (897) can reduce 2273 to: % 30.63/8.44 | (51) ~ (e2 = e0) % 30.63/8.44 | % 30.63/8.44 | From (897) and (5) follows: % 30.63/8.44 | (2880) op(e0, e3) = e2 % 30.63/8.44 | % 30.63/8.44 +-Applying beta-rule and splitting (191), into two cases. % 30.63/8.44 |-Branch one: % 30.63/8.44 | (965) all_0_43_43 = e2 % 30.63/8.44 | % 30.63/8.44 | Equations (965) can reduce 253 to: % 30.63/8.44 | (303) $false % 30.63/8.44 | % 30.63/8.44 |-The branch is then unsatisfiable % 30.63/8.44 |-Branch two: % 30.63/8.44 | (253) ~ (all_0_43_43 = e2) % 30.63/8.44 | (1634) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e1 % 30.63/8.44 | % 30.63/8.44 +-Applying beta-rule and splitting (100), into two cases. % 30.63/8.44 |-Branch one: % 30.63/8.44 | (618) all_0_43_43 = e1 % 30.63/8.44 | % 30.63/8.44 | Equations (618) can reduce 622 to: % 30.63/8.44 | (303) $false % 30.63/8.44 | % 30.63/8.44 |-The branch is then unsatisfiable % 30.63/8.44 |-Branch two: % 30.63/8.44 | (622) ~ (all_0_43_43 = e1) % 30.63/8.44 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 30.63/8.44 | % 30.63/8.44 +-Applying beta-rule and splitting (623), into two cases. % 30.63/8.44 |-Branch one: % 30.63/8.44 | (627) all_0_50_50 = e1 % 30.63/8.44 | % 30.63/8.44 | Combining equations (714,627) yields a new equation: % 30.63/8.44 | (540) e4 = e1 % 30.63/8.44 | % 30.63/8.44 | Simplifying 540 yields: % 30.63/8.44 | (541) e4 = e1 % 30.63/8.44 | % 30.63/8.44 | Equations (541) can reduce 247 to: % 30.63/8.44 | (303) $false % 30.63/8.44 | % 30.63/8.44 |-The branch is then unsatisfiable % 30.63/8.44 |-Branch two: % 30.63/8.44 | (678) ~ (all_0_50_50 = e1) % 30.63/8.44 | (600) all_0_59_59 = e1 % 30.63/8.44 | % 30.63/8.44 | Equations (600) can reduce 249 to: % 30.63/8.44 | (622) ~ (all_0_43_43 = e1) % 30.63/8.44 | % 30.63/8.44 | Equations (600) can reduce 42 to: % 30.63/8.44 | (587) ~ (all_0_56_56 = e1) % 30.63/8.44 | % 30.63/8.44 | Equations (600) can reduce 260 to: % 30.63/8.44 | (565) ~ (e2 = e1) % 30.63/8.44 | % 30.63/8.44 | Simplifying 565 yields: % 30.63/8.44 | (144) ~ (e2 = e1) % 30.63/8.44 | % 30.63/8.44 | Equations (600) can reduce 216 to: % 30.63/8.44 | (134) ~ (e1 = e0) % 30.63/8.44 | % 30.63/8.44 +-Applying beta-rule and splitting (137), into two cases. % 30.63/8.44 |-Branch one: % 30.63/8.44 | (447) all_0_43_43 = e3 % 30.63/8.44 | % 30.63/8.44 | Equations (447) can reduce 8 to: % 30.63/8.44 | (432) ~ (all_0_40_40 = e3) % 30.63/8.44 | % 30.63/8.44 | Equations (447) can reduce 622 to: % 30.63/8.44 | (136) ~ (e3 = e1) % 30.63/8.44 | % 30.63/8.44 | Equations (447) can reduce 117 to: % 30.63/8.44 | (70) ~ (e3 = e0) % 30.63/8.44 | % 30.63/8.44 +-Applying beta-rule and splitting (96), into two cases. % 30.63/8.44 |-Branch one: % 30.63/8.44 | (917) all_0_40_40 = e2 % 30.63/8.44 | % 30.63/8.44 | Equations (917) can reduce 57 to: % 30.63/8.44 | (2174) ~ (all_0_56_56 = e2) % 30.63/8.44 | % 30.63/8.44 | Simplifying 2174 yields: % 30.63/8.44 | (594) ~ (all_0_56_56 = e2) % 30.63/8.44 | % 30.63/8.44 | Equations (917) can reduce 432 to: % 30.63/8.44 | (577) ~ (e3 = e2) % 30.63/8.44 | % 30.63/8.44 | Simplifying 577 yields: % 30.63/8.44 | (223) ~ (e3 = e2) % 30.63/8.44 | % 30.63/8.44 | From (917) and (168) follows: % 30.63/8.44 | (1123) op(e4, e4) = e2 % 30.63/8.44 | % 30.63/8.44 +-Applying beta-rule and splitting (145), into two cases. % 30.63/8.44 |-Branch one: % 30.63/8.44 | (1102) all_0_40_40 = e3 % 30.63/8.44 | % 30.63/8.44 | Combining equations (1102,917) yields a new equation: % 30.63/8.44 | (452) e3 = e2 % 30.63/8.44 | % 30.63/8.44 | Simplifying 452 yields: % 30.63/8.44 | (453) e3 = e2 % 30.63/8.44 | % 30.63/8.44 | Equations (453) can reduce 223 to: % 30.63/8.44 | (303) $false % 30.63/8.44 | % 30.63/8.44 |-The branch is then unsatisfiable % 30.63/8.44 |-Branch two: % 30.63/8.44 | (432) ~ (all_0_40_40 = e3) % 30.63/8.44 | (1105) all_0_45_45 = e3 | all_0_52_52 = e3 | all_0_56_56 = e3 % 30.63/8.44 | % 30.63/8.44 | Equations (917) can reduce 432 to: % 30.63/8.44 | (577) ~ (e3 = e2) % 30.63/8.44 | % 30.63/8.44 | Simplifying 577 yields: % 30.63/8.44 | (223) ~ (e3 = e2) % 30.63/8.44 | % 30.63/8.44 +-Applying beta-rule and splitting (141), into two cases. % 30.63/8.44 |-Branch one: % 30.63/8.44 | (580) all_0_56_56 = e2 % 30.63/8.44 | % 30.63/8.44 | Equations (580) can reduce 594 to: % 30.63/8.44 | (303) $false % 30.63/8.44 | % 30.63/8.44 |-The branch is then unsatisfiable % 30.63/8.44 |-Branch two: % 30.63/8.44 | (594) ~ (all_0_56_56 = e2) % 30.63/8.44 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 30.63/8.44 | % 30.63/8.44 +-Applying beta-rule and splitting (209), into two cases. % 30.63/8.44 |-Branch one: % 30.63/8.44 | (1111) all_0_56_56 = e3 % 30.63/8.44 | % 30.63/8.44 | Equations (1111) can reduce 594 to: % 30.63/8.44 | (223) ~ (e3 = e2) % 30.63/8.44 | % 30.63/8.44 | From (1111) and (132) follows: % 30.63/8.44 | (1116) op(e0, e4) = e3 % 30.63/8.44 | % 30.63/8.44 +-Applying beta-rule and splitting (62), into two cases. % 30.63/8.44 |-Branch one: % 30.63/8.44 | (631) unit = e2 % 30.63/8.44 | % 30.63/8.44 | From (631) and (232) follows: % 30.63/8.44 | (2714) op(e2, e3) = e3 % 30.63/8.44 | % 30.63/8.44 | From (631) and (74) follows: % 30.63/8.44 | (2715) op(e2, e2) = e2 % 30.63/8.44 | % 30.63/8.44 | From (631) and (190) follows: % 30.63/8.44 | (2716) op(e1, e2) = e1 % 30.63/8.44 | % 30.63/8.44 | Instantiating formula (29) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields: % 30.63/8.44 | (497) e3 = e0 % 30.63/8.44 | % 30.63/8.44 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 30.63/8.44 | (453) e3 = e2 % 30.63/8.44 | % 30.63/8.44 | Instantiating formula (29) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 30.63/8.44 | (585) e2 = e1 % 30.63/8.44 | % 30.63/8.44 | Combining equations (453,497) yields a new equation: % 30.63/8.44 | (403) e2 = e0 % 30.63/8.44 | % 30.63/8.44 | Simplifying 403 yields: % 30.63/8.44 | (385) e2 = e0 % 30.63/8.44 | % 30.63/8.44 | Combining equations (385,585) yields a new equation: % 30.63/8.44 | (590) e1 = e0 % 30.63/8.44 | % 30.63/8.44 | Equations (590) can reduce 134 to: % 30.63/8.44 | (303) $false % 30.63/8.44 | % 30.63/8.44 |-The branch is then unsatisfiable % 30.63/8.44 |-Branch two: % 30.63/8.44 | (599) ~ (unit = e2) % 30.63/8.44 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 30.63/8.44 | % 30.63/8.44 +-Applying beta-rule and splitting (634), into two cases. % 30.63/8.44 |-Branch one: % 30.63/8.44 | (635) unit = e4 % 30.63/8.44 | % 30.63/8.44 | From (635) and (147) follows: % 30.63/8.44 | (1176) op(e4, e2) = e2 % 30.63/8.44 | % 30.63/8.44 | From (635) and (130) follows: % 30.63/8.44 | (1177) op(e4, e4) = e4 % 30.63/8.44 | % 30.63/8.44 | From (635) and (190) follows: % 30.63/8.44 | (1178) op(e1, e4) = e1 % 30.63/8.44 | % 30.63/8.44 | Instantiating formula (29) with e4, e4, e4, e2 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e2, yields: % 30.63/8.44 | (470) e4 = e2 % 30.63/8.44 | % 30.63/8.44 | Instantiating formula (29) with e4, e2, e2, e0 and discharging atoms op(e4, e2) = e2, op(e4, e2) = e0, yields: % 30.63/8.44 | (385) e2 = e0 % 30.63/8.44 | % 30.63/8.44 | Instantiating formula (29) with e1, e4, e1, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields: % 30.63/8.44 | (541) e4 = e1 % 30.63/8.44 | % 30.63/8.44 | Combining equations (470,541) yields a new equation: % 30.63/8.44 | (584) e2 = e1 % 30.63/8.44 | % 30.63/8.44 | Simplifying 584 yields: % 30.63/8.44 | (585) e2 = e1 % 30.63/8.44 | % 30.63/8.44 | Combining equations (385,585) yields a new equation: % 30.63/8.44 | (590) e1 = e0 % 30.63/8.44 | % 30.63/8.44 | Equations (590) can reduce 134 to: % 30.63/8.44 | (303) $false % 30.63/8.44 | % 30.63/8.44 |-The branch is then unsatisfiable % 30.63/8.44 |-Branch two: % 30.63/8.44 | (484) ~ (unit = e4) % 30.63/8.44 | (647) unit = e3 | unit = e1 | unit = e0 % 30.63/8.44 | % 30.63/8.44 +-Applying beta-rule and splitting (647), into two cases. % 30.63/8.44 |-Branch one: % 30.63/8.44 | (648) unit = e1 % 30.63/8.44 | % 30.63/8.44 | Equations (648) can reduce 510 to: % 30.63/8.44 | (303) $false % 30.63/8.44 | % 30.63/8.44 |-The branch is then unsatisfiable % 30.63/8.44 |-Branch two: % 30.63/8.44 | (510) ~ (unit = e1) % 30.63/8.44 | (659) unit = e3 | unit = e0 % 30.63/8.44 | % 30.63/8.44 +-Applying beta-rule and splitting (659), into two cases. % 30.63/8.44 |-Branch one: % 30.63/8.44 | (660) unit = e0 % 30.63/8.44 | % 30.63/8.44 | From (660) and (17) follows: % 30.63/8.44 | (1195) op(e0, e4) = e4 % 30.63/8.44 | % 30.63/8.44 | From (660) and (147) follows: % 30.63/8.44 | (663) op(e0, e2) = e2 % 30.63/8.44 | % 30.63/8.44 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 30.63/8.44 | (443) e4 = e3 % 30.63/8.44 | % 30.63/8.44 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 30.63/8.44 | (470) e4 = e2 % 30.63/8.44 | % 30.63/8.44 | Combining equations (443,470) yields a new equation: % 30.63/8.44 | (452) e3 = e2 % 30.63/8.44 | % 30.63/8.44 | Simplifying 452 yields: % 30.63/8.44 | (453) e3 = e2 % 30.63/8.44 | % 30.63/8.44 | Equations (453) can reduce 223 to: % 30.63/8.44 | (303) $false % 30.63/8.44 | % 30.63/8.44 |-The branch is then unsatisfiable % 30.63/8.44 |-Branch two: % 30.63/8.44 | (537) ~ (unit = e0) % 30.63/8.44 | (674) unit = e3 % 30.63/8.44 | % 30.63/8.44 | From (674) and (38) follows: % 30.63/8.44 | (675) op(e3, e1) = e1 % 30.63/8.44 | % 30.63/8.44 | From (674) and (111) follows: % 30.63/8.44 | (420) op(e0, e3) = e0 % 30.63/8.44 | % 30.63/8.44 | Instantiating formula (29) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 30.63/8.44 | (585) e2 = e1 % 30.63/8.44 | % 30.63/8.44 | Instantiating formula (29) with e0, e3, e0, e2 and discharging atoms op(e0, e3) = e2, op(e0, e3) = e0, yields: % 30.63/8.44 | (385) e2 = e0 % 30.63/8.44 | % 30.63/8.44 | Combining equations (385,585) yields a new equation: % 30.63/8.44 | (590) e1 = e0 % 30.63/8.44 | % 30.63/8.44 | Equations (590) can reduce 134 to: % 30.63/8.44 | (303) $false % 30.63/8.44 | % 30.63/8.44 |-The branch is then unsatisfiable % 30.63/8.44 |-Branch two: % 30.63/8.44 | (526) ~ (all_0_56_56 = e3) % 30.63/8.44 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 30.63/8.44 | % 30.63/8.44 +-Applying beta-rule and splitting (1491), into two cases. % 30.63/8.44 |-Branch one: % 30.63/8.44 | (1001) all_0_57_57 = e3 % 30.63/8.44 | % 30.63/8.44 | Combining equations (897,1001) yields a new equation: % 30.63/8.44 | (453) e3 = e2 % 30.63/8.44 | % 30.63/8.44 | Equations (453) can reduce 223 to: % 30.63/8.44 | (303) $false % 30.63/8.44 | % 30.63/8.44 |-The branch is then unsatisfiable % 30.63/8.44 |-Branch two: % 30.63/8.44 | (2590) ~ (all_0_57_57 = e3) % 30.63/8.44 | (2977) all_0_59_59 = e3 | all_0_60_60 = e3 % 30.63/8.44 | % 30.63/8.44 +-Applying beta-rule and splitting (1105), into two cases. % 30.63/8.44 |-Branch one: % 30.63/8.44 | (493) all_0_45_45 = e3 % 30.63/8.44 | % 30.63/8.44 | Combining equations (287,493) yields a new equation: % 30.63/8.44 | (497) e3 = e0 % 30.63/8.44 | % 30.63/8.44 | Equations (497) can reduce 70 to: % 30.63/8.44 | (303) $false % 30.63/8.44 | % 30.63/8.44 |-The branch is then unsatisfiable % 30.63/8.44 |-Branch two: % 30.63/8.44 | (1109) ~ (all_0_45_45 = e3) % 30.63/8.44 | (1110) all_0_52_52 = e3 | all_0_56_56 = e3 % 30.63/8.44 | % 30.63/8.44 | Equations (287) can reduce 1109 to: % 30.63/8.44 | (333) ~ (e3 = e0) % 30.63/8.44 | % 30.63/8.44 | Simplifying 333 yields: % 30.63/8.44 | (70) ~ (e3 = e0) % 30.63/8.44 | % 30.63/8.44 +-Applying beta-rule and splitting (2977), into two cases. % 30.63/8.44 |-Branch one: % 30.63/8.44 | (456) all_0_59_59 = e3 % 30.63/8.44 | % 30.63/8.44 | Combining equations (600,456) yields a new equation: % 30.63/8.45 | (601) e3 = e1 % 30.63/8.45 | % 30.63/8.45 | Equations (601) can reduce 136 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (1031) ~ (all_0_59_59 = e3) % 30.63/8.45 | (1937) all_0_60_60 = e3 % 30.63/8.45 | % 30.63/8.45 | Combining equations (1937,1934) yields a new equation: % 30.63/8.45 | (496) e3 = e0 % 30.63/8.45 | % 30.63/8.45 | Simplifying 496 yields: % 30.63/8.45 | (497) e3 = e0 % 30.63/8.45 | % 30.63/8.45 | Equations (497) can reduce 70 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (939) ~ (all_0_40_40 = e2) % 30.63/8.45 | (944) all_0_45_45 = e2 | all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 30.63/8.45 | % 30.63/8.45 +-Applying beta-rule and splitting (141), into two cases. % 30.63/8.45 |-Branch one: % 30.63/8.45 | (580) all_0_56_56 = e2 % 30.63/8.45 | % 30.63/8.45 | Equations (580) can reduce 594 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (594) ~ (all_0_56_56 = e2) % 30.63/8.45 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 30.63/8.45 | % 30.63/8.45 +-Applying beta-rule and splitting (209), into two cases. % 30.63/8.45 |-Branch one: % 30.63/8.45 | (1111) all_0_56_56 = e3 % 30.63/8.45 | % 30.63/8.45 | Equations (1111) can reduce 594 to: % 30.63/8.45 | (223) ~ (e3 = e2) % 30.63/8.45 | % 30.63/8.45 +-Applying beta-rule and splitting (944), into two cases. % 30.63/8.45 |-Branch one: % 30.63/8.45 | (951) all_0_45_45 = e2 % 30.63/8.45 | % 30.63/8.45 | Combining equations (287,951) yields a new equation: % 30.63/8.45 | (385) e2 = e0 % 30.63/8.45 | % 30.63/8.45 | Equations (385) can reduce 51 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (254) ~ (all_0_45_45 = e2) % 30.63/8.45 | (956) all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 30.63/8.45 | % 30.63/8.45 +-Applying beta-rule and splitting (956), into two cases. % 30.63/8.45 |-Branch one: % 30.63/8.45 | (727) all_0_48_48 = e2 % 30.63/8.45 | % 30.63/8.45 | Combining equations (748,727) yields a new equation: % 30.63/8.45 | (585) e2 = e1 % 30.63/8.45 | % 30.63/8.45 | Equations (585) can reduce 144 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (544) ~ (all_0_48_48 = e2) % 30.63/8.45 | (975) all_0_52_52 = e2 | all_0_56_56 = e2 % 30.63/8.45 | % 30.63/8.45 +-Applying beta-rule and splitting (975), into two cases. % 30.63/8.45 |-Branch one: % 30.63/8.45 | (980) all_0_52_52 = e2 % 30.63/8.45 | % 30.63/8.45 | Combining equations (442,980) yields a new equation: % 30.63/8.45 | (878) e4 = e2 % 30.63/8.45 | % 30.63/8.45 | Simplifying 878 yields: % 30.63/8.45 | (470) e4 = e2 % 30.63/8.45 | % 30.63/8.45 | Equations (470) can reduce 231 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (273) ~ (all_0_52_52 = e2) % 30.63/8.45 | (580) all_0_56_56 = e2 % 30.63/8.45 | % 30.63/8.45 | Combining equations (1111,580) yields a new equation: % 30.63/8.45 | (452) e3 = e2 % 30.63/8.45 | % 30.63/8.45 | Simplifying 452 yields: % 30.63/8.45 | (453) e3 = e2 % 30.63/8.45 | % 30.63/8.45 | Equations (453) can reduce 223 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (526) ~ (all_0_56_56 = e3) % 30.63/8.45 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 30.63/8.45 | % 30.63/8.45 +-Applying beta-rule and splitting (979), into two cases. % 30.63/8.45 |-Branch one: % 30.63/8.45 | (877) all_0_56_56 = e4 % 30.63/8.45 | % 30.63/8.45 | Equations (877) can reduce 345 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (345) ~ (all_0_56_56 = e4) % 30.63/8.45 | (2325) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 30.63/8.45 | % 30.63/8.45 +-Applying beta-rule and splitting (2325), into two cases. % 30.63/8.45 |-Branch one: % 30.63/8.45 | (583) all_0_56_56 = e1 % 30.63/8.45 | % 30.63/8.45 | Equations (583) can reduce 587 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (587) ~ (all_0_56_56 = e1) % 30.63/8.45 | (2329) all_0_56_56 = e3 | all_0_56_56 = e0 % 30.63/8.45 | % 30.63/8.45 +-Applying beta-rule and splitting (2329), into two cases. % 30.63/8.45 |-Branch one: % 30.63/8.45 | (2307) all_0_56_56 = e0 % 30.63/8.45 | % 30.63/8.45 | Equations (2307) can reduce 296 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (296) ~ (all_0_56_56 = e0) % 30.63/8.45 | (1111) all_0_56_56 = e3 % 30.63/8.45 | % 30.63/8.45 | Equations (1111) can reduce 526 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (434) ~ (all_0_43_43 = e3) % 30.63/8.45 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 30.63/8.45 | % 30.63/8.45 +-Applying beta-rule and splitting (1634), into two cases. % 30.63/8.45 |-Branch one: % 30.63/8.45 | (614) all_0_43_43 = e4 % 30.63/8.45 | % 30.63/8.45 | Equations (614) can reduce 712 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (712) ~ (all_0_43_43 = e4) % 30.63/8.45 | (2084) all_0_43_43 = e3 | all_0_43_43 = e1 % 30.63/8.45 | % 30.63/8.45 +-Applying beta-rule and splitting (2084), into two cases. % 30.63/8.45 |-Branch one: % 30.63/8.45 | (618) all_0_43_43 = e1 % 30.63/8.45 | % 30.63/8.45 | Equations (618) can reduce 622 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (622) ~ (all_0_43_43 = e1) % 30.63/8.45 | (447) all_0_43_43 = e3 % 30.63/8.45 | % 30.63/8.45 | Equations (447) can reduce 434 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (377) ~ (all_0_57_57 = e2) % 30.63/8.45 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 30.63/8.45 | % 30.63/8.45 +-Applying beta-rule and splitting (100), into two cases. % 30.63/8.45 |-Branch one: % 30.63/8.45 | (618) all_0_43_43 = e1 % 30.63/8.45 | % 30.63/8.45 | Equations (618) can reduce 622 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (622) ~ (all_0_43_43 = e1) % 30.63/8.45 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 30.63/8.45 | % 30.63/8.45 +-Applying beta-rule and splitting (623), into two cases. % 30.63/8.45 |-Branch one: % 30.63/8.45 | (627) all_0_50_50 = e1 % 30.63/8.45 | % 30.63/8.45 | Combining equations (714,627) yields a new equation: % 30.63/8.45 | (540) e4 = e1 % 30.63/8.45 | % 30.63/8.45 | Simplifying 540 yields: % 30.63/8.45 | (541) e4 = e1 % 30.63/8.45 | % 30.63/8.45 | Equations (541) can reduce 247 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (678) ~ (all_0_50_50 = e1) % 30.63/8.45 | (600) all_0_59_59 = e1 % 30.63/8.45 | % 30.63/8.45 | Equations (600) can reduce 222 to: % 30.63/8.45 | (592) ~ (all_0_57_57 = e1) % 30.63/8.45 | % 30.63/8.45 +-Applying beta-rule and splitting (2652), into two cases. % 30.63/8.45 |-Branch one: % 30.63/8.45 | (589) all_0_57_57 = e1 % 30.63/8.45 | % 30.63/8.45 | Equations (589) can reduce 592 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (592) ~ (all_0_57_57 = e1) % 30.63/8.45 | (3062) all_0_57_57 = e3 | all_0_57_57 = e0 % 30.63/8.45 | % 30.63/8.45 +-Applying beta-rule and splitting (3062), into two cases. % 30.63/8.45 |-Branch one: % 30.63/8.45 | (407) all_0_57_57 = e0 % 30.63/8.45 | % 30.63/8.45 | Equations (407) can reduce 2273 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (2273) ~ (all_0_57_57 = e0) % 30.63/8.45 | (1001) all_0_57_57 = e3 % 30.63/8.45 | % 30.63/8.45 | Equations (1001) can reduce 2590 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (699) ~ (all_0_41_41 = e1) % 30.63/8.45 | (2158) all_0_41_41 = e3 | all_0_41_41 = e0 % 30.63/8.45 | % 30.63/8.45 +-Applying beta-rule and splitting (2158), into two cases. % 30.63/8.45 |-Branch one: % 30.63/8.45 | (398) all_0_41_41 = e0 % 30.63/8.45 | % 30.63/8.45 | Equations (398) can reduce 326 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (326) ~ (all_0_41_41 = e0) % 30.63/8.45 | (431) all_0_41_41 = e3 % 30.63/8.45 | % 30.63/8.45 | Equations (431) can reduce 996 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (611) ~ (all_0_50_50 = e4) % 30.63/8.45 | (627) all_0_50_50 = e1 % 30.63/8.45 | % 30.63/8.45 | Equations (627) can reduce 678 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (802) ~ (all_0_48_48 = e1) % 30.63/8.45 | (380) all_0_48_48 = e0 % 30.63/8.45 | % 30.63/8.45 | Equations (380) can reduce 292 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (428) ~ (all_0_53_53 = e3) % 30.63/8.45 | (2165) all_0_55_55 = e3 % 30.63/8.45 | % 30.63/8.45 | Combining equations (2165,530) yields a new equation: % 30.63/8.45 | (680) e3 = e1 % 30.63/8.45 | % 30.63/8.45 | Simplifying 680 yields: % 30.63/8.45 | (601) e3 = e1 % 30.63/8.45 | % 30.63/8.45 | Equations (601) can reduce 136 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (414) ~ (all_0_60_60 = e0) % 30.63/8.45 | (1937) all_0_60_60 = e3 % 30.63/8.45 | % 30.63/8.45 | Equations (1937) can reduce 316 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (445) ~ (all_0_52_52 = e4) % 30.63/8.45 | (446) all_0_54_54 = e4 | all_0_55_55 = e4 % 30.63/8.45 | % 30.63/8.45 +-Applying beta-rule and splitting (446), into two cases. % 30.63/8.45 |-Branch one: % 30.63/8.45 | (469) all_0_54_54 = e4 % 30.63/8.45 | % 30.63/8.45 | Combining equations (469,271) yields a new equation: % 30.63/8.45 | (878) e4 = e2 % 30.63/8.45 | % 30.63/8.45 | Simplifying 878 yields: % 30.63/8.45 | (470) e4 = e2 % 30.63/8.45 | % 30.63/8.45 | Equations (470) can reduce 231 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (472) ~ (all_0_54_54 = e4) % 30.63/8.45 | (473) all_0_55_55 = e4 % 30.63/8.45 | % 30.63/8.45 | Combining equations (473,530) yields a new equation: % 30.63/8.45 | (540) e4 = e1 % 30.63/8.45 | % 30.63/8.45 | Simplifying 540 yields: % 30.63/8.45 | (541) e4 = e1 % 30.63/8.45 | % 30.63/8.45 | Equations (541) can reduce 247 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (474) ~ (all_0_44_44 = e4) % 30.63/8.45 | (2073) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 30.63/8.45 | % 30.63/8.45 +-Applying beta-rule and splitting (2073), into two cases. % 30.63/8.45 |-Branch one: % 30.63/8.45 | (705) all_0_44_44 = e1 % 30.63/8.45 | % 30.63/8.45 | Equations (705) can reduce 512 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (512) ~ (all_0_44_44 = e1) % 30.63/8.45 | (2077) all_0_44_44 = e3 | all_0_44_44 = e0 % 30.63/8.45 | % 30.63/8.45 +-Applying beta-rule and splitting (2077), into two cases. % 30.63/8.45 |-Branch one: % 30.63/8.45 | (2078) all_0_44_44 = e0 % 30.63/8.45 | % 30.63/8.45 | Equations (2078) can reduce 330 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (330) ~ (all_0_44_44 = e0) % 30.63/8.45 | (2081) all_0_44_44 = e3 % 30.63/8.45 | % 30.63/8.45 | Equations (2081) can reduce 310 to: % 30.63/8.45 | (303) $false % 30.63/8.45 | % 30.63/8.45 |-The branch is then unsatisfiable % 30.63/8.45 |-Branch two: % 30.63/8.45 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 30.63/8.46 | % 30.63/8.46 | Applying alpha-rule on (514) yields: % 30.63/8.46 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 30.63/8.46 | (516) ~ (all_0_47_47 = e3) % 30.63/8.46 | (314) ~ (all_0_55_55 = e3) % 30.63/8.46 | (368) all_0_49_49 = e2 % 30.63/8.46 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 30.63/8.46 | (520) ~ (unit = e3) % 30.63/8.46 | (521) ~ (all_0_52_52 = e3) % 30.63/8.46 | (455) ~ (all_0_46_46 = e3) % 30.63/8.46 | (432) ~ (all_0_40_40 = e3) % 30.63/8.46 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 30.63/8.46 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 30.63/8.46 | (526) ~ (all_0_56_56 = e3) % 30.63/8.46 | % 30.63/8.46 | Equations (368) can reduce 2167 to: % 30.63/8.46 | (303) $false % 30.63/8.46 | % 30.63/8.46 |-The branch is then unsatisfiable % 30.63/8.46 |-Branch two: % 30.63/8.46 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 30.63/8.46 | % 30.63/8.46 | Applying alpha-rule on (528) yields: % 30.63/8.46 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 30.63/8.46 | (530) all_0_55_55 = e1 % 30.63/8.46 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 30.63/8.46 | (387) ~ (all_0_49_49 = e0) % 30.63/8.46 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 30.63/8.46 | (534) ~ (all_0_45_45 = e0) % 30.63/8.46 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 30.63/8.46 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 30.63/8.46 | (537) ~ (unit = e0) % 30.63/8.46 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 30.63/8.46 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 30.63/8.46 | % 30.63/8.46 | Equations (287) can reduce 534 to: % 30.63/8.46 | (303) $false % 30.63/8.46 | % 30.63/8.46 |-The branch is then unsatisfiable % 30.63/8.46 |-Branch two: % 30.63/8.46 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 30.63/8.46 | % 30.63/8.46 | Applying alpha-rule on (543) yields: % 30.63/8.46 | (544) ~ (all_0_48_48 = e2) % 30.63/8.46 | (369) ~ (all_0_41_41 = e2) % 30.63/8.46 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 30.63/8.46 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 30.63/8.46 | (253) ~ (all_0_43_43 = e2) % 30.63/8.46 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 30.63/8.46 | (276) ~ (all_0_55_55 = e2) % 30.63/8.46 | (260) ~ (all_0_59_59 = e2) % 30.63/8.46 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 30.63/8.46 | (274) ~ (all_0_53_53 = e2) % 30.63/8.46 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 30.63/8.46 | (373) ~ (all_0_51_51 = e2) % 30.63/8.46 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 30.63/8.46 | (256) ~ (all_0_47_47 = e2) % 30.63/8.46 | (377) ~ (all_0_57_57 = e2) % 30.63/8.46 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 30.63/8.46 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 30.63/8.46 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 30.63/8.46 | (258) ~ (all_0_50_50 = e2) % 30.63/8.46 | (254) ~ (all_0_45_45 = e2) % 30.63/8.46 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 30.63/8.46 | % 30.63/8.46 | Equations (927) can reduce 373 to: % 30.63/8.46 | (303) $false % 30.63/8.46 | % 30.63/8.46 |-The branch is then unsatisfiable % 30.63/8.46 |-Branch two: % 30.63/8.46 | (3161) ~ (all_0_58_58 = e4) % 30.63/8.46 | (989) all_0_58_58 = e0 % 30.63/8.46 | % 30.63/8.46 | Equations (989) can reduce 332 to: % 30.63/8.46 | (303) $false % 30.63/8.46 | % 30.63/8.46 |-The branch is then unsatisfiable % 30.63/8.46 |-Branch two: % 30.63/8.46 | (3164) ~ (all_0_42_42 = e0) % 30.63/8.46 | (989) all_0_58_58 = e0 % 30.63/8.46 | % 30.63/8.46 | Equations (989) can reduce 71 to: % 30.63/8.46 | (296) ~ (all_0_56_56 = e0) % 30.63/8.46 | % 30.63/8.46 | Equations (989) can reduce 178 to: % 30.63/8.46 | (2273) ~ (all_0_57_57 = e0) % 30.63/8.46 | % 30.63/8.46 | Equations (989) can reduce 23 to: % 30.63/8.46 | (411) ~ (all_0_59_59 = e0) % 30.63/8.46 | % 30.63/8.46 | Simplifying 411 yields: % 30.63/8.46 | (216) ~ (all_0_59_59 = e0) % 30.63/8.46 | % 30.63/8.46 | Equations (989) can reduce 203 to: % 30.63/8.46 | (333) ~ (e3 = e0) % 30.63/8.46 | % 30.63/8.46 | Simplifying 333 yields: % 30.63/8.46 | (70) ~ (e3 = e0) % 30.63/8.46 | % 30.63/8.46 | Equations (989) can reduce 278 to: % 30.63/8.46 | (335) ~ (e2 = e0) % 30.63/8.46 | % 30.63/8.46 | Simplifying 335 yields: % 30.63/8.46 | (51) ~ (e2 = e0) % 30.63/8.46 | % 30.63/8.46 | From (989) and (46) follows: % 30.63/8.46 | (3174) op(e0, e0) = all_0_35_35 % 30.63/8.46 | % 30.63/8.46 +-Applying beta-rule and splitting (197), into two cases. % 30.63/8.46 |-Branch one: % 30.63/8.46 | (3175) all_0_42_42 = e4 % 30.63/8.46 | % 30.63/8.46 | Equations (3175) can reduce 115 to: % 30.63/8.46 | (844) ~ (all_0_40_40 = e4) % 30.63/8.46 | % 30.63/8.46 | Equations (3175) can reduce 55 to: % 30.63/8.46 | (192) ~ (all_0_41_41 = e4) % 30.63/8.46 | % 30.63/8.46 | Equations (3175) can reduce 119 to: % 30.63/8.46 | (724) ~ (all_0_43_43 = e4) % 30.63/8.46 | % 30.63/8.46 | Simplifying 724 yields: % 30.63/8.46 | (712) ~ (all_0_43_43 = e4) % 30.63/8.46 | % 30.63/8.46 | Equations (3175) can reduce 69 to: % 30.63/8.46 | (1736) ~ (all_0_44_44 = e4) % 30.63/8.46 | % 30.63/8.46 | Simplifying 1736 yields: % 30.63/8.46 | (474) ~ (all_0_44_44 = e4) % 30.63/8.46 | % 30.63/8.46 | Equations (3175) can reduce 225 to: % 30.63/8.46 | (30) ~ (e4 = e3) % 30.63/8.46 | % 30.63/8.46 | Equations (3175) can reduce 25 to: % 30.63/8.46 | (247) ~ (e4 = e1) % 30.63/8.46 | % 30.63/8.46 | From (3175) and (80) follows: % 30.63/8.46 | (3184) op(e4, e4) = all_0_3_3 % 30.63/8.46 | % 30.63/8.46 | From (3175) and (179) follows: % 30.63/8.46 | (3185) op(e4, e2) = all_0_4_4 % 30.63/8.46 | % 30.63/8.46 | From (3175) and (148) follows: % 30.63/8.46 | (3186) op(e4, e2) = e4 % 30.63/8.46 | % 30.63/8.46 | Instantiating formula (29) with e4, e4, all_0_3_3, all_0_40_40 and discharging atoms op(e4, e4) = all_0_3_3, op(e4, e4) = all_0_40_40, yields: % 30.63/8.46 | (3187) all_0_3_3 = all_0_40_40 % 30.63/8.46 | % 30.63/8.46 | Instantiating formula (29) with e4, e2, e4, all_0_4_4 and discharging atoms op(e4, e2) = all_0_4_4, op(e4, e2) = e4, yields: % 30.63/8.46 | (356) all_0_4_4 = e4 % 30.63/8.46 | % 30.63/8.46 | Instantiating formula (29) with e0, e0, all_0_35_35, all_0_60_60 and discharging atoms op(e0, e0) = all_0_35_35, op(e0, e0) = all_0_60_60, yields: % 30.63/8.46 | (3189) all_0_35_35 = all_0_60_60 % 30.63/8.46 | % 30.63/8.46 | From (3187) and (3184) follows: % 30.63/8.46 | (168) op(e4, e4) = all_0_40_40 % 30.63/8.46 | % 30.63/8.46 | From (356) and (3185) follows: % 30.63/8.46 | (3186) op(e4, e2) = e4 % 30.96/8.46 | % 30.96/8.46 | From (3189) and (3174) follows: % 30.96/8.46 | (170) op(e0, e0) = all_0_60_60 % 30.96/8.46 | % 30.96/8.46 +-Applying beta-rule and splitting (88), into two cases. % 30.96/8.46 |-Branch one: % 30.96/8.46 | (364) all_0_50_50 = e2 % 30.96/8.46 | % 30.96/8.46 | Equations (364) can reduce 258 to: % 30.96/8.46 | (303) $false % 30.96/8.46 | % 30.96/8.46 |-The branch is then unsatisfiable % 30.96/8.46 |-Branch two: % 30.96/8.46 | (258) ~ (all_0_50_50 = e2) % 30.96/8.46 | (367) all_0_50_50 = e4 | all_0_50_50 = e1 % 30.96/8.46 | % 30.96/8.46 +-Applying beta-rule and splitting (213), into two cases. % 30.96/8.46 |-Branch one: % 30.96/8.46 | (360) all_0_53_53 = e2 % 30.96/8.46 | % 30.96/8.46 | Equations (360) can reduce 274 to: % 30.96/8.46 | (303) $false % 30.96/8.46 | % 30.96/8.46 |-The branch is then unsatisfiable % 30.96/8.46 |-Branch two: % 30.96/8.46 | (274) ~ (all_0_53_53 = e2) % 30.96/8.46 | (363) all_0_53_53 = e3 | all_0_53_53 = e1 % 30.96/8.46 | % 30.96/8.46 +-Applying beta-rule and splitting (114), into two cases. % 30.96/8.46 |-Branch one: % 30.96/8.46 | (368) all_0_49_49 = e2 % 30.96/8.46 | % 30.96/8.46 | Equations (368) can reduce 177 to: % 30.96/8.46 | (369) ~ (all_0_41_41 = e2) % 30.96/8.46 | % 30.96/8.46 | Equations (368) can reduce 58 to: % 30.96/8.46 | (544) ~ (all_0_48_48 = e2) % 30.96/8.46 | % 30.96/8.46 | Equations (368) can reduce 37 to: % 30.96/8.46 | (257) ~ (all_0_50_50 = e2) % 30.96/8.46 | % 30.96/8.46 | Simplifying 257 yields: % 30.96/8.46 | (258) ~ (all_0_50_50 = e2) % 30.96/8.46 | % 30.96/8.46 | Equations (368) can reduce 160 to: % 30.96/8.46 | (372) ~ (all_0_51_51 = e2) % 30.96/8.46 | % 30.96/8.46 | Simplifying 372 yields: % 30.96/8.46 | (373) ~ (all_0_51_51 = e2) % 30.96/8.46 | % 30.96/8.46 | Equations (368) can reduce 7 to: % 30.96/8.46 | (374) ~ (all_0_53_53 = e2) % 30.96/8.46 | % 30.96/8.46 | Simplifying 374 yields: % 30.96/8.46 | (274) ~ (all_0_53_53 = e2) % 30.96/8.46 | % 30.96/8.46 | Equations (368) can reduce 226 to: % 30.96/8.46 | (376) ~ (all_0_57_57 = e2) % 30.96/8.46 | % 30.96/8.46 | Simplifying 376 yields: % 30.96/8.46 | (377) ~ (all_0_57_57 = e2) % 30.96/8.46 | % 30.96/8.46 | From (368) and (113) follows: % 30.96/8.46 | (3212) op(e2, e2) = all_0_17_17 % 30.96/8.46 | % 30.96/8.46 +-Applying beta-rule and splitting (67), into two cases. % 30.96/8.46 |-Branch one: % 30.96/8.46 | (380) all_0_48_48 = e0 % 30.96/8.46 | % 30.96/8.46 | Equations (380) can reduce 292 to: % 30.96/8.46 | (303) $false % 30.96/8.46 | % 30.96/8.46 |-The branch is then unsatisfiable % 30.96/8.46 |-Branch two: % 30.96/8.46 | (292) ~ (all_0_48_48 = e0) % 30.96/8.46 | (383) all_0_49_49 = e0 | all_0_51_51 = e0 % 30.96/8.46 | % 30.96/8.46 +-Applying beta-rule and splitting (383), into two cases. % 30.96/8.46 |-Branch one: % 30.96/8.46 | (384) all_0_49_49 = e0 % 30.96/8.46 | % 30.96/8.46 | Combining equations (384,368) yields a new equation: % 30.96/8.46 | (385) e2 = e0 % 30.96/8.46 | % 30.96/8.46 | Equations (385) can reduce 51 to: % 30.96/8.46 | (303) $false % 30.96/8.46 | % 30.96/8.46 |-The branch is then unsatisfiable % 30.96/8.46 |-Branch two: % 30.96/8.46 | (387) ~ (all_0_49_49 = e0) % 30.96/8.46 | (388) all_0_51_51 = e0 % 30.96/8.46 | % 30.96/8.46 | Equations (388) can reduce 127 to: % 30.96/8.46 | (292) ~ (all_0_48_48 = e0) % 30.96/8.46 | % 30.96/8.46 | Equations (388) can reduce 13 to: % 30.96/8.46 | (392) ~ (all_0_55_55 = e0) % 30.96/8.46 | % 30.96/8.46 | Simplifying 392 yields: % 30.96/8.46 | (93) ~ (all_0_55_55 = e0) % 30.96/8.46 | % 30.96/8.46 | Equations (388) can reduce 95 to: % 30.96/8.46 | (413) ~ (all_0_60_60 = e0) % 30.96/8.46 | % 30.96/8.46 | Simplifying 413 yields: % 30.96/8.46 | (414) ~ (all_0_60_60 = e0) % 30.96/8.46 | % 30.96/8.46 | Equations (388) can reduce 373 to: % 30.96/8.46 | (335) ~ (e2 = e0) % 30.96/8.46 | % 30.96/8.46 | Simplifying 335 yields: % 30.96/8.46 | (51) ~ (e2 = e0) % 30.96/8.46 | % 30.96/8.46 | From (388) and (18) follows: % 30.96/8.46 | (3229) op(e0, e0) = all_0_22_22 % 30.96/8.46 | % 30.96/8.46 +-Applying beta-rule and splitting (150), into two cases. % 30.96/8.46 |-Branch one: % 30.96/8.46 | (398) all_0_41_41 = e0 % 30.96/8.46 | % 30.96/8.46 | Equations (398) can reduce 151 to: % 30.96/8.46 | (288) ~ (all_0_40_40 = e0) % 30.96/8.46 | % 30.96/8.46 | Equations (398) can reduce 43 to: % 30.96/8.47 | (327) ~ (all_0_43_43 = e0) % 30.96/8.47 | % 30.96/8.47 | Simplifying 327 yields: % 30.96/8.47 | (117) ~ (all_0_43_43 = e0) % 30.96/8.47 | % 30.96/8.47 | Equations (398) can reduce 176 to: % 30.96/8.47 | (329) ~ (all_0_44_44 = e0) % 30.96/8.47 | % 30.96/8.47 | Simplifying 329 yields: % 30.96/8.47 | (330) ~ (all_0_44_44 = e0) % 30.96/8.47 | % 30.96/8.47 | Equations (398) can reduce 121 to: % 30.96/8.47 | (2546) ~ (all_0_53_53 = e0) % 30.96/8.47 | % 30.96/8.47 | Simplifying 2546 yields: % 30.96/8.47 | (140) ~ (all_0_53_53 = e0) % 30.96/8.47 | % 30.96/8.47 | Equations (398) can reduce 11 to: % 30.96/8.47 | (2272) ~ (all_0_57_57 = e0) % 30.96/8.47 | % 30.96/8.47 | Simplifying 2272 yields: % 30.96/8.47 | (2273) ~ (all_0_57_57 = e0) % 30.96/8.47 | % 30.96/8.47 | Equations (398) can reduce 192 to: % 30.96/8.47 | (297) ~ (e4 = e0) % 30.96/8.47 | % 30.96/8.47 | Simplifying 297 yields: % 30.96/8.47 | (4) ~ (e4 = e0) % 30.96/8.47 | % 30.96/8.47 | Equations (398) can reduce 369 to: % 30.96/8.47 | (335) ~ (e2 = e0) % 30.96/8.47 | % 30.96/8.47 | Simplifying 335 yields: % 30.96/8.47 | (51) ~ (e2 = e0) % 30.96/8.47 | % 30.96/8.47 | From (398) and (211) follows: % 30.96/8.47 | (3244) op(e0, e4) = all_0_1_1 % 30.96/8.47 | % 30.96/8.47 | From (398) and (26) follows: % 30.96/8.47 | (3245) op(e0, e3) = all_0_2_2 % 30.96/8.47 | % 30.96/8.47 | Instantiating formula (29) with e2, e2, all_0_17_17, e3 and discharging atoms op(e2, e2) = all_0_17_17, op(e2, e2) = e3, yields: % 30.96/8.47 | (3246) all_0_17_17 = e3 % 30.96/8.47 | % 30.96/8.47 | Instantiating formula (29) with e0, e4, all_0_1_1, all_0_56_56 and discharging atoms op(e0, e4) = all_0_1_1, op(e0, e4) = all_0_56_56, yields: % 30.96/8.47 | (3247) all_0_1_1 = all_0_56_56 % 30.96/8.47 | % 30.96/8.47 | Instantiating formula (29) with e0, e3, all_0_2_2, all_0_57_57 and discharging atoms op(e0, e3) = all_0_2_2, op(e0, e3) = all_0_57_57, yields: % 30.96/8.47 | (3248) all_0_2_2 = all_0_57_57 % 30.96/8.47 | % 30.96/8.47 | Instantiating formula (29) with e0, e0, all_0_22_22, all_0_60_60 and discharging atoms op(e0, e0) = all_0_22_22, op(e0, e0) = all_0_60_60, yields: % 30.96/8.47 | (3249) all_0_22_22 = all_0_60_60 % 30.96/8.47 | % 30.96/8.47 | From (3246) and (3212) follows: % 30.96/8.47 | (83) op(e2, e2) = e3 % 30.96/8.47 | % 30.96/8.47 | From (3247) and (3244) follows: % 30.96/8.47 | (132) op(e0, e4) = all_0_56_56 % 30.96/8.47 | % 30.96/8.47 | From (3249) and (3229) follows: % 30.96/8.47 | (170) op(e0, e0) = all_0_60_60 % 30.96/8.47 | % 30.96/8.47 +-Applying beta-rule and splitting (139), into two cases. % 30.96/8.47 |-Branch one: % 30.96/8.47 | (614) all_0_43_43 = e4 % 30.96/8.47 | % 30.96/8.47 | Equations (614) can reduce 712 to: % 30.96/8.47 | (303) $false % 30.96/8.47 | % 30.96/8.47 |-The branch is then unsatisfiable % 30.96/8.47 |-Branch two: % 30.96/8.47 | (712) ~ (all_0_43_43 = e4) % 30.96/8.47 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 30.96/8.47 | % 30.96/8.47 +-Applying beta-rule and splitting (234), into two cases. % 30.96/8.47 |-Branch one: % 30.96/8.47 | (609) all_0_48_48 = e4 % 30.96/8.47 | % 30.96/8.47 | Equations (609) can reduce 53 to: % 30.96/8.47 | (844) ~ (all_0_40_40 = e4) % 30.96/8.47 | % 30.96/8.47 | Equations (609) can reduce 48 to: % 30.96/8.47 | (610) ~ (all_0_50_50 = e4) % 30.96/8.47 | % 30.96/8.47 | Simplifying 610 yields: % 30.96/8.47 | (611) ~ (all_0_50_50 = e4) % 30.96/8.47 | % 30.96/8.47 | Equations (609) can reduce 108 to: % 30.96/8.47 | (1751) ~ (all_0_52_52 = e4) % 30.96/8.47 | % 30.96/8.47 | Simplifying 1751 yields: % 30.96/8.47 | (445) ~ (all_0_52_52 = e4) % 30.96/8.47 | % 30.96/8.47 | Equations (609) can reduce 544 to: % 30.96/8.47 | (231) ~ (e4 = e2) % 30.96/8.47 | % 30.96/8.47 +-Applying beta-rule and splitting (6), into two cases. % 30.96/8.47 |-Branch one: % 30.96/8.47 | (442) all_0_52_52 = e4 % 30.96/8.47 | % 30.96/8.47 | Equations (442) can reduce 445 to: % 30.96/8.47 | (303) $false % 30.96/8.47 | % 30.96/8.47 |-The branch is then unsatisfiable % 30.96/8.47 |-Branch two: % 30.96/8.47 | (445) ~ (all_0_52_52 = e4) % 30.96/8.47 | (446) all_0_54_54 = e4 | all_0_55_55 = e4 % 30.96/8.47 | % 30.96/8.47 +-Applying beta-rule and splitting (367), into two cases. % 30.96/8.47 |-Branch one: % 30.96/8.47 | (714) all_0_50_50 = e4 % 30.96/8.47 | % 30.96/8.47 | Equations (714) can reduce 611 to: % 30.96/8.47 | (303) $false % 30.96/8.47 | % 30.96/8.47 |-The branch is then unsatisfiable % 30.96/8.47 |-Branch two: % 30.96/8.47 | (611) ~ (all_0_50_50 = e4) % 30.96/8.47 | (627) all_0_50_50 = e1 % 30.96/8.47 | % 30.96/8.47 | Combining equations (627,268) yields a new equation: % 30.96/8.47 | (3272) all_0_12_12 = e1 % 30.96/8.47 | % 30.96/8.47 | Equations (627) can reduce 238 to: % 30.96/8.47 | (622) ~ (all_0_43_43 = e1) % 30.96/8.47 | % 30.96/8.47 | Equations (627) can reduce 126 to: % 30.96/8.47 | (3274) ~ (all_0_59_59 = e1) % 30.96/8.47 | % 30.96/8.47 | Simplifying 3274 yields: % 30.96/8.47 | (603) ~ (all_0_59_59 = e1) % 30.96/8.47 | % 30.96/8.47 | Equations (627) can reduce 611 to: % 30.96/8.47 | (605) ~ (e4 = e1) % 30.96/8.47 | % 30.96/8.47 | Simplifying 605 yields: % 30.96/8.47 | (247) ~ (e4 = e1) % 30.96/8.47 | % 30.96/8.47 | From (627) and (110) follows: % 30.96/8.47 | (3278) op(e1, e1) = all_0_20_20 % 30.96/8.47 | % 30.96/8.47 | From (627) and (186) follows: % 30.96/8.47 | (1166) op(e2, e1) = e1 % 30.96/8.47 | % 30.96/8.47 +-Applying beta-rule and splitting (191), into two cases. % 30.96/8.47 |-Branch one: % 30.96/8.47 | (965) all_0_43_43 = e2 % 30.96/8.47 | % 30.96/8.47 | Equations (965) can reduce 253 to: % 30.96/8.47 | (303) $false % 30.96/8.47 | % 30.96/8.47 |-The branch is then unsatisfiable % 30.96/8.47 |-Branch two: % 30.96/8.47 | (253) ~ (all_0_43_43 = e2) % 30.96/8.47 | (1634) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e1 % 30.96/8.47 | % 30.96/8.47 +-Applying beta-rule and splitting (1634), into two cases. % 30.96/8.47 |-Branch one: % 30.96/8.47 | (614) all_0_43_43 = e4 % 30.96/8.47 | % 30.96/8.47 | Equations (614) can reduce 712 to: % 30.96/8.47 | (303) $false % 30.96/8.47 | % 30.96/8.47 |-The branch is then unsatisfiable % 30.96/8.47 |-Branch two: % 30.96/8.47 | (712) ~ (all_0_43_43 = e4) % 30.96/8.47 | (2084) all_0_43_43 = e3 | all_0_43_43 = e1 % 30.96/8.47 | % 30.96/8.47 +-Applying beta-rule and splitting (2084), into two cases. % 30.96/8.47 |-Branch one: % 30.96/8.47 | (618) all_0_43_43 = e1 % 30.96/8.47 | % 30.96/8.47 | Equations (618) can reduce 622 to: % 30.96/8.47 | (303) $false % 30.96/8.47 | % 30.96/8.47 |-The branch is then unsatisfiable % 30.96/8.47 |-Branch two: % 30.96/8.47 | (622) ~ (all_0_43_43 = e1) % 30.96/8.47 | (447) all_0_43_43 = e3 % 30.96/8.47 | % 30.96/8.47 | Equations (447) can reduce 82 to: % 30.96/8.47 | (435) ~ (all_0_44_44 = e3) % 30.96/8.47 | % 30.96/8.47 | Simplifying 435 yields: % 30.96/8.47 | (310) ~ (all_0_44_44 = e3) % 30.96/8.47 | % 30.96/8.47 | Equations (447) can reduce 249 to: % 30.96/8.47 | (1030) ~ (all_0_59_59 = e3) % 30.96/8.47 | % 30.96/8.47 | Simplifying 1030 yields: % 30.96/8.47 | (1031) ~ (all_0_59_59 = e3) % 30.96/8.47 | % 30.96/8.47 | Equations (447) can reduce 622 to: % 30.96/8.47 | (136) ~ (e3 = e1) % 30.96/8.47 | % 30.96/8.47 | From (447) and (89) follows: % 30.96/8.47 | (3297) op(e3, e4) = all_0_5_5 % 30.96/8.47 | % 30.96/8.47 | From (447) and (99) follows: % 30.96/8.47 | (3298) op(e3, e1) = all_0_6_6 % 30.96/8.47 | % 30.96/8.47 | From (447) and (19) follows: % 30.96/8.47 | (3299) op(e4, e1) = e3 % 30.96/8.47 | % 30.96/8.47 +-Applying beta-rule and splitting (446), into two cases. % 30.96/8.47 |-Branch one: % 30.96/8.47 | (469) all_0_54_54 = e4 % 30.96/8.47 | % 30.96/8.47 | Combining equations (271,469) yields a new equation: % 30.96/8.47 | (470) e4 = e2 % 30.96/8.47 | % 30.96/8.47 | Equations (470) can reduce 231 to: % 30.96/8.47 | (303) $false % 30.96/8.47 | % 30.96/8.47 |-The branch is then unsatisfiable % 30.96/8.47 |-Branch two: % 30.96/8.47 | (472) ~ (all_0_54_54 = e4) % 30.96/8.47 | (473) all_0_55_55 = e4 % 30.96/8.47 | % 30.96/8.47 | Equations (473) can reduce 59 to: % 30.96/8.47 | (474) ~ (all_0_44_44 = e4) % 30.96/8.47 | % 30.96/8.47 | Equations (473) can reduce 169 to: % 30.96/8.47 | (445) ~ (all_0_52_52 = e4) % 30.96/8.47 | % 30.96/8.47 | Equations (473) can reduce 131 to: % 30.96/8.47 | (229) ~ (all_0_53_53 = e4) % 30.96/8.47 | % 30.96/8.47 | From (473) and (155) follows: % 30.96/8.47 | (3308) op(e4, e1) = all_0_29_29 % 30.96/8.47 | % 30.96/8.47 +-Applying beta-rule and splitting (713), into two cases. % 30.96/8.47 |-Branch one: % 30.96/8.47 | (714) all_0_50_50 = e4 % 30.96/8.47 | % 30.96/8.47 | Combining equations (714,627) yields a new equation: % 30.96/8.47 | (540) e4 = e1 % 30.96/8.47 | % 30.96/8.47 | Simplifying 540 yields: % 30.96/8.47 | (541) e4 = e1 % 30.96/8.47 | % 30.96/8.47 | Equations (541) can reduce 247 to: % 30.96/8.47 | (303) $false % 30.96/8.47 | % 30.96/8.47 |-The branch is then unsatisfiable % 30.96/8.47 |-Branch two: % 30.96/8.47 | (611) ~ (all_0_50_50 = e4) % 30.96/8.47 | (717) all_0_59_59 = e4 % 30.96/8.47 | % 30.96/8.47 | Equations (717) can reduce 222 to: % 30.96/8.47 | (202) ~ (all_0_57_57 = e4) % 30.96/8.47 | % 30.96/8.47 | Equations (717) can reduce 164 to: % 30.96/8.47 | (349) ~ (all_0_60_60 = e4) % 30.96/8.47 | % 30.96/8.47 | Simplifying 349 yields: % 30.96/8.47 | (350) ~ (all_0_60_60 = e4) % 30.96/8.47 | % 30.96/8.47 | Equations (717) can reduce 1031 to: % 30.96/8.47 | (30) ~ (e4 = e3) % 30.96/8.47 | % 30.96/8.47 | Equations (717) can reduce 603 to: % 30.96/8.47 | (247) ~ (e4 = e1) % 30.96/8.47 | % 30.96/8.47 | Equations (717) can reduce 216 to: % 30.96/8.47 | (4) ~ (e4 = e0) % 30.96/8.47 | % 30.96/8.47 | From (717) and (33) follows: % 30.96/8.47 | (3321) op(e4, e1) = all_0_38_38 % 30.96/8.47 | % 30.96/8.47 | From (717) and (90) follows: % 30.96/8.47 | (3322) op(e0, e1) = e4 % 30.96/8.47 | % 30.96/8.47 | Instantiating formula (29) with e4, e1, all_0_38_38, all_0_29_29 and discharging atoms op(e4, e1) = all_0_29_29, op(e4, e1) = all_0_38_38, yields: % 30.96/8.47 | (3323) all_0_29_29 = all_0_38_38 % 30.96/8.47 | % 30.96/8.47 | Instantiating formula (29) with e4, e1, e3, all_0_29_29 and discharging atoms op(e4, e1) = all_0_29_29, op(e4, e1) = e3, yields: % 30.96/8.47 | (3324) all_0_29_29 = e3 % 30.96/8.47 | % 30.96/8.47 | Instantiating formula (29) with e3, e4, all_0_5_5, e0 and discharging atoms op(e3, e4) = all_0_5_5, op(e3, e4) = e0, yields: % 30.96/8.47 | (3325) all_0_5_5 = e0 % 30.96/8.47 | % 30.96/8.47 | Instantiating formula (29) with e3, e1, all_0_6_6, e2 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = e2, yields: % 30.96/8.47 | (3326) all_0_6_6 = e2 % 30.96/8.47 | % 30.96/8.47 | Instantiating formula (29) with e1, e1, all_0_20_20, e0 and discharging atoms op(e1, e1) = all_0_20_20, op(e1, e1) = e0, yields: % 30.96/8.47 | (3327) all_0_20_20 = e0 % 30.96/8.47 | % 30.96/8.47 | Combining equations (3323,3324) yields a new equation: % 30.96/8.47 | (3328) all_0_38_38 = e3 % 30.96/8.47 | % 30.96/8.47 | Simplifying 3328 yields: % 30.96/8.47 | (3329) all_0_38_38 = e3 % 30.96/8.47 | % 30.96/8.47 | From (3329) and (3321) follows: % 30.96/8.47 | (3299) op(e4, e1) = e3 % 30.96/8.47 | % 30.96/8.47 | From (3325) and (3297) follows: % 30.96/8.47 | (301) op(e3, e4) = e0 % 30.96/8.47 | % 30.96/8.47 | From (3326) and (3298) follows: % 30.96/8.47 | (266) op(e3, e1) = e2 % 30.96/8.47 | % 30.96/8.47 +-Applying beta-rule and splitting (64), into two cases. % 30.96/8.47 |-Branch one: % 30.96/8.47 | (425) all_0_52_52 = e3 % 30.96/8.47 | % 30.96/8.47 | Equations (425) can reduce 188 to: % 30.96/8.47 | (432) ~ (all_0_40_40 = e3) % 30.96/8.47 | % 30.96/8.47 | Equations (425) can reduce 149 to: % 30.96/8.47 | (2285) ~ (all_0_56_56 = e3) % 30.96/8.48 | % 30.96/8.48 | Simplifying 2285 yields: % 30.96/8.48 | (526) ~ (all_0_56_56 = e3) % 30.96/8.48 | % 30.96/8.48 | Equations (425) can reduce 445 to: % 30.96/8.48 | (439) ~ (e4 = e3) % 30.96/8.48 | % 30.96/8.48 | Simplifying 439 yields: % 30.96/8.48 | (30) ~ (e4 = e3) % 30.96/8.48 | % 30.96/8.48 | From (425) and (45) follows: % 30.96/8.48 | (3339) op(e3, e4) = all_0_24_24 % 30.96/8.48 | % 30.96/8.48 | From (425) and (156) follows: % 30.96/8.48 | (3340) op(e3, e1) = all_0_23_23 % 30.96/8.48 | % 30.96/8.48 | From (425) and (152) follows: % 30.96/8.48 | (430) op(e1, e4) = e3 % 30.96/8.48 | % 30.96/8.48 +-Applying beta-rule and splitting (85), into two cases. % 30.96/8.48 |-Branch one: % 30.96/8.48 | (1070) all_0_52_52 = e1 % 30.96/8.48 | % 30.96/8.48 | Combining equations (425,1070) yields a new equation: % 30.96/8.48 | (680) e3 = e1 % 30.96/8.48 | % 30.96/8.48 | Simplifying 680 yields: % 30.96/8.48 | (601) e3 = e1 % 30.96/8.48 | % 30.96/8.48 | Equations (601) can reduce 136 to: % 30.96/8.48 | (303) $false % 30.96/8.48 | % 30.96/8.48 |-The branch is then unsatisfiable % 30.96/8.48 |-Branch two: % 30.96/8.48 | (502) ~ (all_0_52_52 = e1) % 30.96/8.48 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 30.96/8.48 | % 30.96/8.48 +-Applying beta-rule and splitting (209), into two cases. % 30.96/8.48 |-Branch one: % 30.96/8.48 | (1111) all_0_56_56 = e3 % 30.96/8.48 | % 30.96/8.48 | Equations (1111) can reduce 526 to: % 30.96/8.48 | (303) $false % 30.96/8.48 | % 30.96/8.48 |-The branch is then unsatisfiable % 30.96/8.48 |-Branch two: % 30.96/8.48 | (526) ~ (all_0_56_56 = e3) % 30.96/8.48 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 30.96/8.48 | % 30.96/8.48 +-Applying beta-rule and splitting (1491), into two cases. % 30.96/8.48 |-Branch one: % 30.96/8.48 | (1001) all_0_57_57 = e3 % 30.96/8.48 | % 30.96/8.48 | Combining equations (1001,3248) yields a new equation: % 30.96/8.48 | (3353) all_0_2_2 = e3 % 30.96/8.48 | % 30.96/8.48 | Equations (1001) can reduce 251 to: % 30.96/8.48 | (428) ~ (all_0_53_53 = e3) % 30.96/8.48 | % 30.96/8.48 | Equations (1001) can reduce 172 to: % 30.96/8.48 | (526) ~ (all_0_56_56 = e3) % 30.96/8.48 | % 30.96/8.48 | Equations (1001) can reduce 81 to: % 30.96/8.48 | (315) ~ (all_0_60_60 = e3) % 30.96/8.48 | % 30.96/8.48 | Simplifying 315 yields: % 30.96/8.48 | (316) ~ (all_0_60_60 = e3) % 30.96/8.48 | % 30.96/8.48 | Equations (1001) can reduce 202 to: % 30.96/8.48 | (439) ~ (e4 = e3) % 30.96/8.48 | % 30.96/8.48 | Simplifying 439 yields: % 30.96/8.48 | (30) ~ (e4 = e3) % 30.96/8.48 | % 30.96/8.48 | Equations (1001) can reduce 2273 to: % 30.96/8.48 | (70) ~ (e3 = e0) % 30.96/8.48 | % 30.96/8.48 +-Applying beta-rule and splitting (1073), into two cases. % 30.96/8.48 |-Branch one: % 30.96/8.48 | (462) all_0_53_53 = e1 % 30.96/8.48 | % 30.96/8.48 | Equations (462) can reduce 229 to: % 30.96/8.48 | (605) ~ (e4 = e1) % 30.96/8.48 | % 30.96/8.48 | Simplifying 605 yields: % 30.96/8.48 | (247) ~ (e4 = e1) % 30.96/8.48 | % 30.96/8.48 | Equations (462) can reduce 428 to: % 30.96/8.48 | (465) ~ (e3 = e1) % 30.96/8.48 | % 30.96/8.48 | Simplifying 465 yields: % 30.96/8.48 | (136) ~ (e3 = e1) % 30.96/8.48 | % 30.96/8.48 | From (462) and (242) follows: % 30.96/8.48 | (3366) op(e1, e3) = all_0_26_26 % 30.96/8.48 | % 30.96/8.48 +-Applying beta-rule and splitting (56), into two cases. % 30.96/8.48 |-Branch one: % 30.96/8.48 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 30.96/8.48 | % 30.96/8.48 +-Applying beta-rule and splitting (480), into two cases. % 30.96/8.48 |-Branch one: % 30.96/8.48 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 30.96/8.48 | % 30.96/8.48 +-Applying beta-rule and splitting (481), into two cases. % 30.96/8.48 |-Branch one: % 30.96/8.48 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 30.96/8.48 | % 30.96/8.48 +-Applying beta-rule and splitting (482), into two cases. % 30.96/8.48 |-Branch one: % 30.96/8.48 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 30.96/8.48 | % 30.96/8.48 | Applying alpha-rule on (483) yields: % 30.96/8.48 | (484) ~ (unit = e4) % 30.96/8.48 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 30.96/8.48 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 30.96/8.48 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 30.96/8.48 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 30.96/8.48 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 30.96/8.48 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 30.96/8.48 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 30.96/8.48 | (492) ~ (all_0_55_55 = e4) % 30.96/8.48 | (493) all_0_45_45 = e3 % 30.96/8.48 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 30.96/8.48 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 30.96/8.48 | % 30.96/8.48 | Combining equations (287,493) yields a new equation: % 30.96/8.48 | (497) e3 = e0 % 30.96/8.48 | % 30.96/8.48 | Equations (497) can reduce 70 to: % 30.96/8.48 | (303) $false % 30.96/8.48 | % 30.96/8.48 |-The branch is then unsatisfiable % 30.96/8.48 |-Branch two: % 30.96/8.48 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 30.96/8.48 | % 30.96/8.48 | Applying alpha-rule on (499) yields: % 30.96/8.48 | (500) ~ (all_0_51_51 = e1) % 30.96/8.48 | (501) ~ (all_0_60_60 = e1) % 30.96/8.48 | (502) ~ (all_0_52_52 = e1) % 30.96/8.48 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 30.96/8.48 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 30.96/8.48 | (252) all_0_46_46 = e2 % 30.96/8.48 | (506) ~ (all_0_49_49 = e1) % 30.96/8.48 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 30.96/8.48 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 30.96/8.48 | (509) ~ (all_0_53_53 = e1) % 30.96/8.48 | (510) ~ (unit = e1) % 30.96/8.48 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 30.96/8.48 | (512) ~ (all_0_44_44 = e1) % 30.96/8.48 | % 30.96/8.48 | Equations (462) can reduce 509 to: % 30.96/8.48 | (303) $false % 30.96/8.48 | % 30.96/8.48 |-The branch is then unsatisfiable % 30.96/8.48 |-Branch two: % 30.96/8.48 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 30.96/8.48 | % 30.96/8.48 | Applying alpha-rule on (514) yields: % 30.96/8.48 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 30.96/8.48 | (516) ~ (all_0_47_47 = e3) % 30.96/8.48 | (314) ~ (all_0_55_55 = e3) % 30.96/8.48 | (368) all_0_49_49 = e2 % 30.96/8.48 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 30.96/8.48 | (520) ~ (unit = e3) % 30.96/8.48 | (521) ~ (all_0_52_52 = e3) % 30.96/8.48 | (455) ~ (all_0_46_46 = e3) % 30.96/8.48 | (432) ~ (all_0_40_40 = e3) % 30.96/8.48 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 30.96/8.48 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 30.96/8.48 | (526) ~ (all_0_56_56 = e3) % 30.96/8.48 | % 30.96/8.48 | Equations (425) can reduce 521 to: % 30.96/8.48 | (303) $false % 30.96/8.48 | % 30.96/8.48 |-The branch is then unsatisfiable % 30.96/8.48 |-Branch two: % 30.96/8.48 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 31.02/8.48 | % 31.02/8.48 | Applying alpha-rule on (528) yields: % 31.02/8.48 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 31.02/8.48 | (530) all_0_55_55 = e1 % 31.02/8.48 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 31.02/8.48 | (387) ~ (all_0_49_49 = e0) % 31.02/8.48 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 31.02/8.48 | (534) ~ (all_0_45_45 = e0) % 31.02/8.48 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 31.02/8.48 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 31.02/8.48 | (537) ~ (unit = e0) % 31.02/8.48 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 31.02/8.48 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 31.02/8.48 | % 31.02/8.48 | Combining equations (473,530) yields a new equation: % 31.02/8.48 | (540) e4 = e1 % 31.02/8.48 | % 31.02/8.48 | Simplifying 540 yields: % 31.02/8.48 | (541) e4 = e1 % 31.02/8.48 | % 31.02/8.48 | Equations (541) can reduce 247 to: % 31.02/8.48 | (303) $false % 31.02/8.48 | % 31.02/8.48 |-The branch is then unsatisfiable % 31.02/8.48 |-Branch two: % 31.02/8.48 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 31.02/8.48 | % 31.02/8.48 | Applying alpha-rule on (543) yields: % 31.02/8.48 | (544) ~ (all_0_48_48 = e2) % 31.02/8.48 | (369) ~ (all_0_41_41 = e2) % 31.02/8.48 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 31.02/8.48 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 31.02/8.48 | (253) ~ (all_0_43_43 = e2) % 31.02/8.48 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 31.02/8.48 | (276) ~ (all_0_55_55 = e2) % 31.02/8.48 | (260) ~ (all_0_59_59 = e2) % 31.02/8.48 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 31.02/8.48 | (274) ~ (all_0_53_53 = e2) % 31.02/8.48 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 31.02/8.48 | (373) ~ (all_0_51_51 = e2) % 31.02/8.48 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 31.02/8.48 | (256) ~ (all_0_47_47 = e2) % 31.02/8.48 | (377) ~ (all_0_57_57 = e2) % 31.02/8.48 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 31.02/8.48 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 31.02/8.48 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 31.02/8.48 | (258) ~ (all_0_50_50 = e2) % 31.02/8.48 | (254) ~ (all_0_45_45 = e2) % 31.02/8.48 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 31.02/8.48 | % 31.02/8.48 | Equations (462) can reduce 274 to: % 31.02/8.48 | (565) ~ (e2 = e1) % 31.02/8.48 | % 31.02/8.48 | Simplifying 565 yields: % 31.02/8.48 | (144) ~ (e2 = e1) % 31.02/8.48 | % 31.02/8.48 +-Applying beta-rule and splitting (554), into two cases. % 31.02/8.48 |-Branch one: % 31.02/8.49 | (3453) ~ (all_0_54_54 = e2) % 31.02/8.49 | % 31.02/8.49 | Equations (271) can reduce 3453 to: % 31.02/8.49 | (303) $false % 31.02/8.49 | % 31.02/8.49 |-The branch is then unsatisfiable % 31.02/8.49 |-Branch two: % 31.02/8.49 | (271) all_0_54_54 = e2 % 31.02/8.49 | (599) ~ (unit = e2) % 31.02/8.49 | % 31.02/8.49 +-Applying beta-rule and splitting (96), into two cases. % 31.02/8.49 |-Branch one: % 31.02/8.49 | (917) all_0_40_40 = e2 % 31.02/8.49 | % 31.02/8.49 | Equations (917) can reduce 57 to: % 31.02/8.49 | (2174) ~ (all_0_56_56 = e2) % 31.02/8.49 | % 31.02/8.49 | Simplifying 2174 yields: % 31.02/8.49 | (594) ~ (all_0_56_56 = e2) % 31.02/8.49 | % 31.02/8.49 +-Applying beta-rule and splitting (175), into two cases. % 31.02/8.49 |-Branch one: % 31.02/8.49 | (624) all_0_40_40 = e1 % 31.02/8.49 | % 31.02/8.49 | Combining equations (917,624) yields a new equation: % 31.02/8.49 | (584) e2 = e1 % 31.02/8.49 | % 31.02/8.49 | Simplifying 584 yields: % 31.02/8.49 | (585) e2 = e1 % 31.02/8.49 | % 31.02/8.49 | Equations (585) can reduce 144 to: % 31.02/8.49 | (303) $false % 31.02/8.49 | % 31.02/8.49 |-The branch is then unsatisfiable % 31.02/8.49 |-Branch two: % 31.02/8.49 | (683) ~ (all_0_40_40 = e1) % 31.02/8.49 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 31.02/8.49 | % 31.02/8.49 +-Applying beta-rule and splitting (684), into two cases. % 31.02/8.49 |-Branch one: % 31.02/8.49 | (748) all_0_48_48 = e1 % 31.02/8.49 | % 31.02/8.49 | Combining equations (748,609) yields a new equation: % 31.02/8.49 | (541) e4 = e1 % 31.02/8.49 | % 31.02/8.49 | Equations (541) can reduce 247 to: % 31.02/8.49 | (303) $false % 31.02/8.49 | % 31.02/8.49 |-The branch is then unsatisfiable % 31.02/8.49 |-Branch two: % 31.02/8.49 | (802) ~ (all_0_48_48 = e1) % 31.02/8.49 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 31.02/8.49 | % 31.02/8.49 +-Applying beta-rule and splitting (807), into two cases. % 31.02/8.49 |-Branch one: % 31.02/8.49 | (1070) all_0_52_52 = e1 % 31.02/8.49 | % 31.02/8.49 | Combining equations (425,1070) yields a new equation: % 31.02/8.49 | (680) e3 = e1 % 31.02/8.49 | % 31.02/8.49 | Simplifying 680 yields: % 31.02/8.49 | (601) e3 = e1 % 31.02/8.49 | % 31.02/8.49 | Equations (601) can reduce 136 to: % 31.02/8.49 | (303) $false % 31.02/8.49 | % 31.02/8.49 |-The branch is then unsatisfiable % 31.02/8.49 |-Branch two: % 31.02/8.49 | (502) ~ (all_0_52_52 = e1) % 31.02/8.49 | (583) all_0_56_56 = e1 % 31.02/8.49 | % 31.02/8.49 | Combining equations (583,319) yields a new equation: % 31.02/8.49 | (3477) all_0_10_10 = e1 % 31.02/8.49 | % 31.02/8.49 | Equations (583) can reduce 174 to: % 31.02/8.49 | (1050) ~ (all_0_60_60 = e1) % 31.02/8.49 | % 31.02/8.49 | Simplifying 1050 yields: % 31.02/8.49 | (501) ~ (all_0_60_60 = e1) % 31.02/8.49 | % 31.02/8.49 | Equations (583) can reduce 526 to: % 31.02/8.49 | (465) ~ (e3 = e1) % 31.02/8.49 | % 31.02/8.49 | Simplifying 465 yields: % 31.02/8.49 | (136) ~ (e3 = e1) % 31.02/8.49 | % 31.02/8.49 | Equations (583) can reduce 594 to: % 31.02/8.49 | (565) ~ (e2 = e1) % 31.02/8.49 | % 31.02/8.49 | Simplifying 565 yields: % 31.02/8.49 | (144) ~ (e2 = e1) % 31.02/8.49 | % 31.02/8.49 | Equations (583) can reduce 296 to: % 31.02/8.49 | (134) ~ (e1 = e0) % 31.02/8.49 | % 31.02/8.49 | From (583) and (185) follows: % 31.02/8.49 | (3485) op(e1, e4) = all_0_32_32 % 31.02/8.49 | % 31.02/8.49 +-Applying beta-rule and splitting (220), into two cases. % 31.02/8.49 |-Branch one: % 31.02/8.49 | (913) all_0_60_60 = e2 % 31.02/8.49 | % 31.02/8.49 | Equations (913) can reduce 350 to: % 31.02/8.49 | (261) ~ (e4 = e2) % 31.02/8.49 | % 31.02/8.49 | Simplifying 261 yields: % 31.02/8.49 | (231) ~ (e4 = e2) % 31.02/8.49 | % 31.02/8.49 | Equations (913) can reduce 501 to: % 31.02/8.49 | (144) ~ (e2 = e1) % 31.02/8.49 | % 31.02/8.49 | Equations (913) can reduce 414 to: % 31.02/8.49 | (51) ~ (e2 = e0) % 31.02/8.49 | % 31.02/8.49 | From (913) and (170) follows: % 31.02/8.49 | (3491) op(e0, e0) = e2 % 31.02/8.49 | % 31.02/8.49 +-Applying beta-rule and splitting (27), into two cases. % 31.02/8.49 |-Branch one: % 31.02/8.49 | (705) all_0_44_44 = e1 % 31.02/8.49 | % 31.02/8.49 | Equations (705) can reduce 310 to: % 31.02/8.49 | (465) ~ (e3 = e1) % 31.02/8.49 | % 31.02/8.49 | Simplifying 465 yields: % 31.02/8.49 | (136) ~ (e3 = e1) % 31.02/8.49 | % 31.02/8.49 | Equations (705) can reduce 330 to: % 31.02/8.49 | (134) ~ (e1 = e0) % 31.02/8.49 | % 31.02/8.49 | From (705) and (235) follows: % 31.02/8.49 | (3496) op(e1, e4) = all_0_7_7 % 31.02/8.49 | % 31.02/8.49 +-Applying beta-rule and splitting (181), into two cases. % 31.02/8.49 |-Branch one: % 31.02/8.49 | (3497) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_51_51 = all_0_58_58)) % 31.02/8.49 | % 31.02/8.49 +-Applying beta-rule and splitting (3497), into two cases. % 31.02/8.49 |-Branch one: % 31.02/8.49 | (3498) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57)) % 31.02/8.49 | % 31.02/8.49 +-Applying beta-rule and splitting (3498), into two cases. % 31.02/8.49 |-Branch one: % 31.02/8.49 | (3499) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) % 31.02/8.49 | % 31.02/8.49 +-Applying beta-rule and splitting (3499), into two cases. % 31.02/8.49 |-Branch one: % 31.02/8.49 | (3500) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) % 31.02/8.49 | % 31.02/8.49 +-Applying beta-rule and splitting (3500), into two cases. % 31.02/8.49 |-Branch one: % 31.02/8.49 | (3501) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) % 31.02/8.49 | % 31.02/8.49 +-Applying beta-rule and splitting (3501), into two cases. % 31.02/8.49 |-Branch one: % 31.02/8.49 | (3502) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) % 31.02/8.49 | % 31.02/8.49 +-Applying beta-rule and splitting (3502), into two cases. % 31.02/8.49 |-Branch one: % 31.02/8.49 | (3503) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) % 31.02/8.49 | % 31.02/8.49 +-Applying beta-rule and splitting (3503), into two cases. % 31.02/8.49 |-Branch one: % 31.02/8.49 | (3504) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) % 31.02/8.49 | % 31.02/8.49 +-Applying beta-rule and splitting (3504), into two cases. % 31.02/8.49 |-Branch one: % 31.02/8.49 | (3505) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) % 31.02/8.49 | % 31.02/8.49 +-Applying beta-rule and splitting (3505), into two cases. % 31.02/8.49 |-Branch one: % 31.02/8.49 | (3506) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) % 31.02/8.50 | % 31.02/8.50 +-Applying beta-rule and splitting (3506), into two cases. % 31.02/8.50 |-Branch one: % 31.02/8.50 | (3507) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) % 31.02/8.50 | % 31.02/8.50 +-Applying beta-rule and splitting (3507), into two cases. % 31.02/8.50 |-Branch one: % 31.02/8.50 | (3508) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) % 31.02/8.50 | % 31.02/8.50 +-Applying beta-rule and splitting (3508), into two cases. % 31.02/8.50 |-Branch one: % 31.02/8.50 | (3509) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) % 31.02/8.50 | % 31.02/8.50 +-Applying beta-rule and splitting (3509), into two cases. % 31.02/8.50 |-Branch one: % 31.02/8.50 | (3510) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) % 31.02/8.50 | % 31.02/8.50 +-Applying beta-rule and splitting (3510), into two cases. % 31.02/8.50 |-Branch one: % 31.02/8.50 | (3511) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) % 31.02/8.50 | % 31.02/8.50 +-Applying beta-rule and splitting (3511), into two cases. % 31.02/8.50 |-Branch one: % 31.02/8.50 | (3512) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) % 31.02/8.50 | % 31.02/8.50 +-Applying beta-rule and splitting (3512), into two cases. % 31.02/8.50 |-Branch one: % 31.02/8.50 | (3513) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) % 31.02/8.50 | % 31.02/8.50 +-Applying beta-rule and splitting (3513), into two cases. % 31.02/8.50 |-Branch one: % 31.02/8.50 | (3514) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45) % 31.02/8.50 | % 31.02/8.50 | Applying alpha-rule on (3514) yields: % 31.02/8.50 | (3515) all_0_2_2 = e4 % 31.02/8.50 | (3516) ~ (all_0_1_1 = e3) % 31.02/8.50 | (3517) ~ (all_0_41_41 = all_0_45_45) % 31.02/8.50 | % 31.02/8.50 | Combining equations (3515,3353) yields a new equation: % 31.02/8.50 | (718) e4 = e3 % 31.02/8.50 | % 31.02/8.50 | Simplifying 718 yields: % 31.02/8.50 | (443) e4 = e3 % 31.02/8.50 | % 31.02/8.50 | Equations (443) can reduce 30 to: % 31.02/8.50 | (303) $false % 31.02/8.50 | % 31.02/8.50 |-The branch is then unsatisfiable % 31.02/8.50 |-Branch two: % 31.02/8.50 | (3521) all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48) % 31.02/8.50 | % 31.02/8.50 | Applying alpha-rule on (3521) yields: % 31.02/8.50 | (356) all_0_4_4 = e4 % 31.02/8.50 | (3523) ~ (all_0_3_3 = e2) % 31.02/8.50 | (3524) ~ (all_0_42_42 = all_0_48_48) % 31.02/8.50 | % 31.02/8.50 | Equations (3175,609) can reduce 3524 to: % 31.02/8.50 | (303) $false % 31.02/8.50 | % 31.02/8.50 |-The branch is then unsatisfiable % 31.02/8.50 |-Branch two: % 31.02/8.50 | (3526) all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52) % 31.02/8.50 | % 31.02/8.50 | Applying alpha-rule on (3526) yields: % 31.02/8.50 | (3527) all_0_6_6 = e4 % 31.02/8.50 | (3528) ~ (all_0_5_5 = e1) % 31.02/8.50 | (3529) ~ (all_0_43_43 = all_0_52_52) % 31.02/8.50 | % 31.02/8.50 | Combining equations (3527,3326) yields a new equation: % 31.02/8.50 | (878) e4 = e2 % 31.02/8.50 | % 31.02/8.50 | Simplifying 878 yields: % 31.02/8.50 | (470) e4 = e2 % 31.02/8.50 | % 31.02/8.50 | Equations (470) can reduce 231 to: % 31.02/8.50 | (303) $false % 31.02/8.50 | % 31.02/8.50 |-The branch is then unsatisfiable % 31.02/8.50 |-Branch two: % 31.02/8.50 | (3533) all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56) % 31.02/8.50 | % 31.02/8.50 | Applying alpha-rule on (3533) yields: % 31.02/8.50 | (3534) all_0_8_8 = e4 % 31.02/8.50 | (3535) ~ (all_0_7_7 = e0) % 31.02/8.50 | (3536) ~ (all_0_44_44 = all_0_56_56) % 31.02/8.50 | % 31.02/8.50 | Equations (705,583) can reduce 3536 to: % 31.02/8.50 | (303) $false % 31.02/8.50 | % 31.02/8.50 |-The branch is then unsatisfiable % 31.02/8.50 |-Branch two: % 31.02/8.50 | (3538) all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45) % 31.02/8.50 | % 31.02/8.50 | Applying alpha-rule on (3538) yields: % 31.02/8.50 | (3539) all_0_10_10 = e3 % 31.02/8.50 | (3540) ~ (all_0_9_9 = e4) % 31.02/8.50 | (3517) ~ (all_0_41_41 = all_0_45_45) % 31.02/8.50 | % 31.02/8.50 | Combining equations (3539,3477) yields a new equation: % 31.02/8.50 | (680) e3 = e1 % 31.02/8.50 | % 31.02/8.50 | Simplifying 680 yields: % 31.02/8.50 | (601) e3 = e1 % 31.02/8.50 | % 31.02/8.50 | Equations (601) can reduce 136 to: % 31.02/8.50 | (303) $false % 31.02/8.50 | % 31.02/8.50 |-The branch is then unsatisfiable % 31.02/8.50 |-Branch two: % 31.02/8.50 | (3545) all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53) % 31.02/8.50 | % 31.02/8.50 | Applying alpha-rule on (3545) yields: % 31.02/8.50 | (3546) all_0_12_12 = e3 % 31.02/8.50 | (3547) ~ (all_0_11_11 = e1) % 31.02/8.50 | (3548) ~ (all_0_46_46 = all_0_53_53) % 31.02/8.50 | % 31.02/8.50 | Combining equations (3546,3272) yields a new equation: % 31.02/8.50 | (680) e3 = e1 % 31.02/8.50 | % 31.02/8.50 | Simplifying 680 yields: % 31.02/8.50 | (601) e3 = e1 % 31.02/8.50 | % 31.02/8.50 | Equations (601) can reduce 136 to: % 31.02/8.50 | (303) $false % 31.02/8.50 | % 31.02/8.50 |-The branch is then unsatisfiable % 31.02/8.50 |-Branch two: % 31.02/8.50 | (3552) all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57) % 31.02/8.50 | % 31.02/8.50 | Applying alpha-rule on (3552) yields: % 31.02/8.50 | (3553) all_0_14_14 = e3 % 31.02/8.50 | (3554) ~ (all_0_13_13 = e0) % 31.02/8.50 | (3555) ~ (all_0_47_47 = all_0_57_57) % 31.02/8.50 | % 31.02/8.50 | Equations (309,1001) can reduce 3555 to: % 31.02/8.50 | (303) $false % 31.02/8.50 | % 31.02/8.50 |-The branch is then unsatisfiable % 31.02/8.50 |-Branch two: % 31.02/8.50 | (3557) all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48) % 31.02/8.50 | % 31.02/8.50 | Applying alpha-rule on (3557) yields: % 31.02/8.50 | (3558) all_0_16_16 = e2 % 31.02/8.50 | (3559) ~ (all_0_15_15 = e4) % 31.02/8.50 | (3524) ~ (all_0_42_42 = all_0_48_48) % 31.02/8.50 | % 31.02/8.51 | Equations (3175,609) can reduce 3524 to: % 31.02/8.51 | (303) $false % 31.02/8.51 | % 31.02/8.51 |-The branch is then unsatisfiable % 31.02/8.51 |-Branch two: % 31.02/8.51 | (3562) all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1) % 31.02/8.51 | % 31.02/8.51 | Applying alpha-rule on (3562) yields: % 31.02/8.51 | (3563) all_0_18_18 = e2 % 31.02/8.51 | (3564) ~ (all_0_17_17 = e3) % 31.02/8.51 | (506) ~ (all_0_49_49 = e1) % 31.02/8.51 | % 31.02/8.51 | Equations (3246) can reduce 3564 to: % 31.02/8.51 | (303) $false % 31.02/8.51 | % 31.02/8.51 |-The branch is then unsatisfiable % 31.02/8.51 |-Branch two: % 31.02/8.51 | (3567) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54) % 31.02/8.51 | % 31.02/8.51 | Applying alpha-rule on (3567) yields: % 31.02/8.51 | (3568) all_0_20_20 = e2 % 31.02/8.51 | (3569) ~ (all_0_19_19 = e1) % 31.02/8.51 | (3570) ~ (all_0_50_50 = all_0_54_54) % 31.02/8.51 | % 31.02/8.51 | Combining equations (3568,3327) yields a new equation: % 31.02/8.51 | (403) e2 = e0 % 31.02/8.51 | % 31.02/8.51 | Simplifying 403 yields: % 31.02/8.51 | (385) e2 = e0 % 31.02/8.51 | % 31.02/8.51 | Equations (385) can reduce 51 to: % 31.02/8.51 | (303) $false % 31.02/8.51 | % 31.02/8.51 |-The branch is then unsatisfiable % 31.02/8.51 |-Branch two: % 31.02/8.51 | (3574) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58) % 31.02/8.51 | % 31.02/8.51 | Applying alpha-rule on (3574) yields: % 31.02/8.51 | (3575) all_0_22_22 = e2 % 31.02/8.51 | (3576) ~ (all_0_21_21 = e0) % 31.02/8.51 | (3577) ~ (all_0_51_51 = all_0_58_58) % 31.02/8.51 | % 31.02/8.51 | Equations (388,989) can reduce 3577 to: % 31.02/8.51 | (303) $false % 31.02/8.51 | % 31.02/8.51 |-The branch is then unsatisfiable % 31.02/8.51 |-Branch two: % 31.02/8.51 | (3579) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52) % 31.02/8.51 | % 31.02/8.51 | Applying alpha-rule on (3579) yields: % 31.02/8.51 | (3580) all_0_24_24 = e1 % 31.02/8.51 | (3581) ~ (all_0_23_23 = e4) % 31.02/8.51 | (3529) ~ (all_0_43_43 = all_0_52_52) % 31.02/8.51 | % 31.02/8.51 | Equations (447,425) can reduce 3529 to: % 31.02/8.51 | (303) $false % 31.02/8.51 | % 31.02/8.51 |-The branch is then unsatisfiable % 31.02/8.51 |-Branch two: % 31.02/8.51 | (3584) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53) % 31.02/8.51 | % 31.02/8.51 | Applying alpha-rule on (3584) yields: % 31.02/8.51 | (3585) all_0_26_26 = e1 % 31.02/8.51 | (3586) ~ (all_0_25_25 = e3) % 31.02/8.51 | (3548) ~ (all_0_46_46 = all_0_53_53) % 31.02/8.51 | % 31.02/8.51 | Equations (252,462) can reduce 3548 to: % 31.02/8.51 | (144) ~ (e2 = e1) % 31.02/8.51 | % 31.02/8.51 | From (3585) and (3366) follows: % 31.02/8.51 | (468) op(e1, e3) = e1 % 31.02/8.51 | % 31.02/8.51 | Instantiating formula (29) with e3, e4, all_0_24_24, e0 and discharging atoms op(e3, e4) = all_0_24_24, op(e3, e4) = e0, yields: % 31.02/8.51 | (3590) all_0_24_24 = e0 % 31.02/8.51 | % 31.02/8.51 | Instantiating formula (29) with e3, e1, all_0_23_23, e2 and discharging atoms op(e3, e1) = all_0_23_23, op(e3, e1) = e2, yields: % 31.02/8.51 | (3591) all_0_23_23 = e2 % 31.02/8.51 | % 31.02/8.51 | Instantiating formula (29) with e1, e4, all_0_32_32, all_0_7_7 and discharging atoms op(e1, e4) = all_0_7_7, op(e1, e4) = all_0_32_32, yields: % 31.02/8.51 | (3592) all_0_7_7 = all_0_32_32 % 31.02/8.51 | % 31.02/8.51 | Instantiating formula (29) with e1, e4, e3, all_0_7_7 and discharging atoms op(e1, e4) = all_0_7_7, op(e1, e4) = e3, yields: % 31.02/8.51 | (3593) all_0_7_7 = e3 % 31.02/8.51 | % 31.02/8.51 | Combining equations (3592,3593) yields a new equation: % 31.02/8.51 | (3594) all_0_32_32 = e3 % 31.02/8.51 | % 31.02/8.51 | Simplifying 3594 yields: % 31.02/8.51 | (3595) all_0_32_32 = e3 % 31.02/8.51 | % 31.02/8.51 | From (3590) and (3339) follows: % 31.02/8.51 | (301) op(e3, e4) = e0 % 31.02/8.51 | % 31.02/8.51 | From (3591) and (3340) follows: % 31.02/8.51 | (266) op(e3, e1) = e2 % 31.02/8.51 | % 31.02/8.51 | From (3595) and (3485) follows: % 31.02/8.51 | (430) op(e1, e4) = e3 % 31.02/8.51 | % 31.02/8.51 +-Applying beta-rule and splitting (62), into two cases. % 31.02/8.51 |-Branch one: % 31.02/8.51 | (631) unit = e2 % 31.02/8.51 | % 31.02/8.51 | Equations (631) can reduce 599 to: % 31.02/8.51 | (303) $false % 31.02/8.51 | % 31.02/8.51 |-The branch is then unsatisfiable % 31.02/8.51 |-Branch two: % 31.02/8.51 | (599) ~ (unit = e2) % 31.02/8.51 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 31.02/8.51 | % 31.02/8.51 +-Applying beta-rule and splitting (634), into two cases. % 31.02/8.51 |-Branch one: % 31.02/8.51 | (635) unit = e4 % 31.02/8.51 | % 31.02/8.51 | From (635) and (98) follows: % 31.02/8.51 | (2729) op(e3, e4) = e3 % 31.02/8.51 | % 31.02/8.51 | From (635) and (190) follows: % 31.02/8.51 | (1178) op(e1, e4) = e1 % 31.02/8.51 | % 31.02/8.51 | Instantiating formula (29) with e3, e4, e3, e0 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e0, yields: % 31.02/8.51 | (497) e3 = e0 % 31.02/8.51 | % 31.02/8.51 | Instantiating formula (29) with e1, e4, e1, e3 and discharging atoms op(e1, e4) = e3, op(e1, e4) = e1, yields: % 31.02/8.51 | (601) e3 = e1 % 31.02/8.51 | % 31.02/8.51 | Combining equations (601,497) yields a new equation: % 31.02/8.51 | (670) e1 = e0 % 31.02/8.51 | % 31.02/8.51 | Simplifying 670 yields: % 31.02/8.51 | (590) e1 = e0 % 31.02/8.51 | % 31.02/8.51 | Equations (590) can reduce 134 to: % 31.02/8.51 | (303) $false % 31.02/8.51 | % 31.02/8.51 |-The branch is then unsatisfiable % 31.02/8.51 |-Branch two: % 31.02/8.51 | (484) ~ (unit = e4) % 31.02/8.51 | (647) unit = e3 | unit = e1 | unit = e0 % 31.02/8.51 | % 31.02/8.51 +-Applying beta-rule and splitting (647), into two cases. % 31.02/8.51 |-Branch one: % 31.02/8.51 | (648) unit = e1 % 31.02/8.51 | % 31.02/8.51 | From (648) and (17) follows: % 31.02/8.51 | (649) op(e1, e4) = e4 % 31.02/8.51 | % 31.02/8.51 | From (648) and (232) follows: % 31.02/8.51 | (650) op(e1, e3) = e3 % 31.02/8.51 | % 31.02/8.51 | From (648) and (98) follows: % 31.02/8.51 | (1862) op(e3, e1) = e3 % 31.02/8.51 | % 31.02/8.51 | From (648) and (111) follows: % 31.02/8.51 | (770) op(e0, e1) = e0 % 31.02/8.51 | % 31.02/8.51 | Instantiating formula (29) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields: % 31.02/8.51 | (453) e3 = e2 % 31.02/8.51 | % 31.02/8.51 | Instantiating formula (29) with e1, e4, e4, e3 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e3, yields: % 31.02/8.51 | (443) e4 = e3 % 31.02/8.51 | % 31.02/8.51 | Instantiating formula (29) with e1, e3, e3, e1 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 31.02/8.51 | (601) e3 = e1 % 31.02/8.51 | % 31.02/8.51 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 31.02/8.51 | (654) e4 = e0 % 31.02/8.51 | % 31.02/8.51 | Combining equations (443,654) yields a new equation: % 31.02/8.51 | (496) e3 = e0 % 31.02/8.51 | % 31.02/8.51 | Simplifying 496 yields: % 31.02/8.51 | (497) e3 = e0 % 31.02/8.51 | % 31.02/8.51 | Combining equations (497,453) yields a new equation: % 31.02/8.51 | (385) e2 = e0 % 31.02/8.51 | % 31.02/8.51 | Combining equations (601,453) yields a new equation: % 31.02/8.51 | (585) e2 = e1 % 31.02/8.51 | % 31.02/8.51 | Combining equations (385,585) yields a new equation: % 31.02/8.51 | (590) e1 = e0 % 31.02/8.51 | % 31.02/8.51 | Equations (590) can reduce 134 to: % 31.02/8.51 | (303) $false % 31.02/8.51 | % 31.02/8.51 |-The branch is then unsatisfiable % 31.02/8.51 |-Branch two: % 31.02/8.51 | (510) ~ (unit = e1) % 31.02/8.51 | (659) unit = e3 | unit = e0 % 31.02/8.51 | % 31.02/8.51 +-Applying beta-rule and splitting (659), into two cases. % 31.02/8.51 |-Branch one: % 31.02/8.51 | (660) unit = e0 % 31.02/8.51 | % 31.02/8.51 | Equations (660) can reduce 599 to: % 31.02/8.51 | (335) ~ (e2 = e0) % 31.02/8.51 | % 31.02/8.51 | Simplifying 335 yields: % 31.02/8.51 | (51) ~ (e2 = e0) % 31.02/8.51 | % 31.02/8.51 | From (660) and (111) follows: % 31.02/8.51 | (3633) op(e0, e0) = e0 % 31.02/8.51 | % 31.02/8.51 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 31.02/8.51 | (385) e2 = e0 % 31.02/8.51 | % 31.02/8.51 | Equations (385) can reduce 51 to: % 31.02/8.51 | (303) $false % 31.02/8.51 | % 31.02/8.51 |-The branch is then unsatisfiable % 31.02/8.51 |-Branch two: % 31.02/8.51 | (537) ~ (unit = e0) % 31.02/8.51 | (674) unit = e3 % 31.02/8.51 | % 31.02/8.51 | From (674) and (38) follows: % 31.02/8.51 | (675) op(e3, e1) = e1 % 31.02/8.51 | % 31.02/8.51 | Instantiating formula (29) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 31.02/8.51 | (585) e2 = e1 % 31.02/8.51 | % 31.02/8.51 | Equations (585) can reduce 144 to: % 31.02/8.51 | (303) $false % 31.02/8.51 | % 31.02/8.51 |-The branch is then unsatisfiable % 31.02/8.52 |-Branch two: % 31.02/8.52 | (3641) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54) % 31.02/8.52 | % 31.02/8.52 | Applying alpha-rule on (3641) yields: % 31.02/8.52 | (3642) all_0_28_28 = e1 % 31.02/8.52 | (3643) ~ (all_0_27_27 = e2) % 31.02/8.52 | (3570) ~ (all_0_50_50 = all_0_54_54) % 31.02/8.52 | % 31.02/8.52 | Combining equations (3642,283) yields a new equation: % 31.02/8.52 | (601) e3 = e1 % 31.02/8.52 | % 31.02/8.52 | Equations (601) can reduce 136 to: % 31.02/8.52 | (303) $false % 31.02/8.52 | % 31.02/8.52 |-The branch is then unsatisfiable % 31.02/8.52 |-Branch two: % 31.02/8.52 | (3647) all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59) % 31.02/8.52 | % 31.02/8.52 | Applying alpha-rule on (3647) yields: % 31.02/8.52 | (3648) all_0_30_30 = e1 % 31.02/8.52 | (3649) ~ (all_0_29_29 = e0) % 31.02/8.52 | (3650) ~ (all_0_55_55 = all_0_59_59) % 31.02/8.52 | % 31.10/8.52 | Equations (473,717) can reduce 3650 to: % 31.10/8.52 | (303) $false % 31.10/8.52 | % 31.10/8.52 |-The branch is then unsatisfiable % 31.10/8.52 |-Branch two: % 31.10/8.52 | (3652) all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56) % 31.10/8.52 | % 31.10/8.52 | Applying alpha-rule on (3652) yields: % 31.10/8.52 | (3653) all_0_32_32 = e0 % 31.10/8.52 | (3654) ~ (all_0_31_31 = e4) % 31.10/8.52 | (3536) ~ (all_0_44_44 = all_0_56_56) % 31.10/8.52 | % 31.10/8.52 | Equations (705,583) can reduce 3536 to: % 31.10/8.52 | (303) $false % 31.10/8.52 | % 31.10/8.52 |-The branch is then unsatisfiable % 31.10/8.52 |-Branch two: % 31.10/8.52 | (3657) all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57) % 31.10/8.52 | % 31.10/8.52 | Applying alpha-rule on (3657) yields: % 31.10/8.52 | (421) all_0_34_34 = e0 % 31.10/8.52 | (3659) ~ (all_0_33_33 = e3) % 31.10/8.52 | (3555) ~ (all_0_47_47 = all_0_57_57) % 31.10/8.52 | % 31.10/8.52 | Equations (309,1001) can reduce 3555 to: % 31.10/8.52 | (303) $false % 31.10/8.52 | % 31.10/8.52 |-The branch is then unsatisfiable % 31.10/8.52 |-Branch two: % 31.10/8.52 | (3662) all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_51_51 = all_0_58_58) % 31.10/8.52 | % 31.10/8.52 | Applying alpha-rule on (3662) yields: % 31.10/8.52 | (354) all_0_36_36 = e0 % 31.10/8.52 | (3664) ~ (all_0_35_35 = e2) % 31.10/8.52 | (3577) ~ (all_0_51_51 = all_0_58_58) % 31.10/8.52 | % 31.10/8.52 | Equations (388,989) can reduce 3577 to: % 31.10/8.52 | (303) $false % 31.10/8.52 | % 31.10/8.52 |-The branch is then unsatisfiable % 31.10/8.52 |-Branch two: % 31.10/8.52 | (3667) all_0_38_38 = e0 & ~ (all_0_37_37 = e1) & ~ (all_0_55_55 = all_0_59_59) % 31.10/8.52 | % 31.10/8.52 | Applying alpha-rule on (3667) yields: % 31.10/8.52 | (3668) all_0_38_38 = e0 % 31.10/8.52 | (3669) ~ (all_0_37_37 = e1) % 31.10/8.52 | (3650) ~ (all_0_55_55 = all_0_59_59) % 31.10/8.52 | % 31.10/8.52 | Combining equations (3329,3668) yields a new equation: % 31.10/8.52 | (496) e3 = e0 % 31.10/8.52 | % 31.10/8.52 | Simplifying 496 yields: % 31.10/8.52 | (497) e3 = e0 % 31.10/8.52 | % 31.10/8.52 | Equations (497) can reduce 70 to: % 31.10/8.52 | (303) $false % 31.10/8.52 | % 31.10/8.52 |-The branch is then unsatisfiable % 31.10/8.52 |-Branch two: % 31.10/8.52 | (512) ~ (all_0_44_44 = e1) % 31.10/8.52 | (1589) all_0_51_51 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1 % 31.10/8.52 | % 31.10/8.52 +-Applying beta-rule and splitting (44), into two cases. % 31.10/8.52 |-Branch one: % 31.10/8.52 | (624) all_0_40_40 = e1 % 31.10/8.52 | % 31.10/8.52 | Combining equations (917,624) yields a new equation: % 31.10/8.52 | (584) e2 = e1 % 31.10/8.52 | % 31.10/8.52 | Simplifying 584 yields: % 31.10/8.52 | (585) e2 = e1 % 31.10/8.52 | % 31.10/8.52 | Equations (585) can reduce 144 to: % 31.10/8.52 | (303) $false % 31.10/8.52 | % 31.10/8.52 |-The branch is then unsatisfiable % 31.10/8.52 |-Branch two: % 31.10/8.52 | (683) ~ (all_0_40_40 = e1) % 31.10/8.52 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 31.10/8.52 | % 31.10/8.52 +-Applying beta-rule and splitting (688), into two cases. % 31.10/8.52 |-Branch one: % 31.10/8.52 | (696) all_0_41_41 = e1 % 31.10/8.52 | % 31.10/8.52 | Combining equations (398,696) yields a new equation: % 31.10/8.52 | (590) e1 = e0 % 31.10/8.52 | % 31.10/8.52 | Equations (590) can reduce 134 to: % 31.10/8.52 | (303) $false % 31.10/8.52 | % 31.10/8.52 |-The branch is then unsatisfiable % 31.10/8.52 |-Branch two: % 31.10/8.52 | (699) ~ (all_0_41_41 = e1) % 31.10/8.52 | (700) all_0_43_43 = e1 | all_0_44_44 = e1 % 31.10/8.52 | % 31.10/8.52 +-Applying beta-rule and splitting (700), into two cases. % 31.10/8.52 |-Branch one: % 31.10/8.52 | (618) all_0_43_43 = e1 % 31.10/8.52 | % 31.10/8.52 | Combining equations (447,618) yields a new equation: % 31.10/8.52 | (680) e3 = e1 % 31.10/8.52 | % 31.10/8.52 | Simplifying 680 yields: % 31.10/8.52 | (601) e3 = e1 % 31.10/8.52 | % 31.10/8.52 | Equations (601) can reduce 136 to: % 31.10/8.52 | (303) $false % 31.10/8.52 | % 31.10/8.52 |-The branch is then unsatisfiable % 31.10/8.52 |-Branch two: % 31.10/8.52 | (622) ~ (all_0_43_43 = e1) % 31.10/8.52 | (705) all_0_44_44 = e1 % 31.10/8.52 | % 31.10/8.52 | Equations (705) can reduce 512 to: % 31.10/8.52 | (303) $false % 31.10/8.52 | % 31.10/8.52 |-The branch is then unsatisfiable % 31.10/8.52 |-Branch two: % 31.10/8.52 | (571) ~ (all_0_60_60 = e2) % 31.10/8.52 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 31.10/8.52 | % 31.10/8.52 +-Applying beta-rule and splitting (27), into two cases. % 31.10/8.52 |-Branch one: % 31.10/8.52 | (705) all_0_44_44 = e1 % 31.10/8.52 | % 31.10/8.52 | Equations (705) can reduce 165 to: % 31.10/8.52 | (1050) ~ (all_0_60_60 = e1) % 31.10/8.52 | % 31.10/8.52 | Simplifying 1050 yields: % 31.10/8.52 | (501) ~ (all_0_60_60 = e1) % 31.10/8.52 | % 31.10/8.52 +-Applying beta-rule and splitting (1275), into two cases. % 31.10/8.52 |-Branch one: % 31.10/8.52 | (1510) all_0_60_60 = e4 % 31.10/8.52 | % 31.10/8.52 | Equations (1510) can reduce 350 to: % 31.10/8.52 | (303) $false % 31.10/8.52 | % 31.10/8.52 |-The branch is then unsatisfiable % 31.10/8.52 |-Branch two: % 31.10/8.52 | (350) ~ (all_0_60_60 = e4) % 31.10/8.52 | (1906) all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 31.10/8.52 | % 31.10/8.52 +-Applying beta-rule and splitting (1906), into two cases. % 31.10/8.52 |-Branch one: % 31.10/8.52 | (604) all_0_60_60 = e1 % 31.10/8.52 | % 31.10/8.52 | Equations (604) can reduce 501 to: % 31.10/8.52 | (303) $false % 31.10/8.52 | % 31.10/8.52 |-The branch is then unsatisfiable % 31.10/8.52 |-Branch two: % 31.10/8.52 | (501) ~ (all_0_60_60 = e1) % 31.10/8.52 | (1933) all_0_60_60 = e3 | all_0_60_60 = e0 % 31.10/8.52 | % 31.10/8.52 +-Applying beta-rule and splitting (1933), into two cases. % 31.10/8.52 |-Branch one: % 31.10/8.52 | (1934) all_0_60_60 = e0 % 31.10/8.52 | % 31.10/8.52 | Equations (1934) can reduce 414 to: % 31.10/8.52 | (303) $false % 31.10/8.52 | % 31.10/8.52 |-The branch is then unsatisfiable % 31.10/8.52 |-Branch two: % 31.10/8.52 | (414) ~ (all_0_60_60 = e0) % 31.10/8.52 | (1937) all_0_60_60 = e3 % 31.10/8.52 | % 31.10/8.52 | Equations (1937) can reduce 316 to: % 31.10/8.52 | (303) $false % 31.10/8.52 | % 31.10/8.52 |-The branch is then unsatisfiable % 31.10/8.52 |-Branch two: % 31.10/8.52 | (512) ~ (all_0_44_44 = e1) % 31.10/8.52 | (1589) all_0_51_51 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1 % 31.10/8.52 | % 31.10/8.52 +-Applying beta-rule and splitting (61), into two cases. % 31.10/8.52 |-Branch one: % 31.10/8.52 | (580) all_0_56_56 = e2 % 31.10/8.52 | % 31.10/8.52 | Combining equations (583,580) yields a new equation: % 31.10/8.52 | (585) e2 = e1 % 31.10/8.52 | % 31.10/8.52 | Equations (585) can reduce 144 to: % 31.10/8.52 | (303) $false % 31.10/8.52 | % 31.10/8.52 |-The branch is then unsatisfiable % 31.10/8.52 |-Branch two: % 31.10/8.52 | (594) ~ (all_0_56_56 = e2) % 31.10/8.52 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 31.10/8.52 | % 31.10/8.52 | Equations (583) can reduce 594 to: % 31.10/8.52 | (565) ~ (e2 = e1) % 31.10/8.52 | % 31.10/8.52 | Simplifying 565 yields: % 31.10/8.52 | (144) ~ (e2 = e1) % 31.10/8.52 | % 31.10/8.52 +-Applying beta-rule and splitting (44), into two cases. % 31.10/8.52 |-Branch one: % 31.10/8.52 | (624) all_0_40_40 = e1 % 31.10/8.52 | % 31.10/8.52 | Combining equations (917,624) yields a new equation: % 31.10/8.52 | (584) e2 = e1 % 31.10/8.52 | % 31.10/8.52 | Simplifying 584 yields: % 31.10/8.52 | (585) e2 = e1 % 31.10/8.52 | % 31.10/8.52 | Equations (585) can reduce 144 to: % 31.10/8.52 | (303) $false % 31.10/8.52 | % 31.10/8.52 |-The branch is then unsatisfiable % 31.10/8.52 |-Branch two: % 31.10/8.52 | (683) ~ (all_0_40_40 = e1) % 31.10/8.52 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 31.10/8.52 | % 31.10/8.52 +-Applying beta-rule and splitting (688), into two cases. % 31.10/8.52 |-Branch one: % 31.10/8.52 | (696) all_0_41_41 = e1 % 31.10/8.52 | % 31.10/8.52 | Combining equations (398,696) yields a new equation: % 31.10/8.52 | (590) e1 = e0 % 31.10/8.52 | % 31.10/8.52 | Equations (590) can reduce 134 to: % 31.10/8.52 | (303) $false % 31.10/8.52 | % 31.10/8.52 |-The branch is then unsatisfiable % 31.10/8.52 |-Branch two: % 31.10/8.52 | (699) ~ (all_0_41_41 = e1) % 31.10/8.52 | (700) all_0_43_43 = e1 | all_0_44_44 = e1 % 31.10/8.52 | % 31.10/8.52 +-Applying beta-rule and splitting (700), into two cases. % 31.10/8.52 |-Branch one: % 31.10/8.52 | (618) all_0_43_43 = e1 % 31.10/8.52 | % 31.10/8.52 | Combining equations (447,618) yields a new equation: % 31.10/8.52 | (680) e3 = e1 % 31.10/8.52 | % 31.10/8.52 | Simplifying 680 yields: % 31.10/8.52 | (601) e3 = e1 % 31.10/8.52 | % 31.10/8.52 | Equations (601) can reduce 136 to: % 31.10/8.52 | (303) $false % 31.10/8.52 | % 31.10/8.52 |-The branch is then unsatisfiable % 31.10/8.52 |-Branch two: % 31.10/8.52 | (622) ~ (all_0_43_43 = e1) % 31.10/8.52 | (705) all_0_44_44 = e1 % 31.10/8.52 | % 31.10/8.52 | Equations (705) can reduce 512 to: % 31.10/8.52 | (303) $false % 31.10/8.52 | % 31.10/8.52 |-The branch is then unsatisfiable % 31.10/8.53 |-Branch two: % 31.10/8.53 | (939) ~ (all_0_40_40 = e2) % 31.10/8.53 | (944) all_0_45_45 = e2 | all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 31.10/8.53 | % 31.10/8.53 +-Applying beta-rule and splitting (233), into two cases. % 31.10/8.53 |-Branch one: % 31.10/8.53 | (917) all_0_40_40 = e2 % 31.10/8.53 | % 31.10/8.53 | Equations (917) can reduce 939 to: % 31.10/8.53 | (303) $false % 31.10/8.53 | % 31.10/8.53 |-The branch is then unsatisfiable % 31.10/8.53 |-Branch two: % 31.10/8.53 | (939) ~ (all_0_40_40 = e2) % 31.10/8.53 | (2671) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 31.10/8.53 | % 31.10/8.53 +-Applying beta-rule and splitting (2671), into two cases. % 31.10/8.53 |-Branch one: % 31.10/8.53 | (723) all_0_40_40 = e4 % 31.10/8.53 | % 31.10/8.53 | Equations (723) can reduce 844 to: % 31.10/8.53 | (303) $false % 31.10/8.53 | % 31.10/8.53 |-The branch is then unsatisfiable % 31.10/8.53 |-Branch two: % 31.10/8.53 | (844) ~ (all_0_40_40 = e4) % 31.10/8.53 | (2800) all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 31.10/8.53 | % 31.10/8.53 +-Applying beta-rule and splitting (564), into two cases. % 31.10/8.53 |-Branch one: % 31.10/8.53 | (915) ~ (all_0_44_44 = e2) % 31.10/8.53 | % 31.10/8.53 +-Applying beta-rule and splitting (87), into two cases. % 31.10/8.53 |-Branch one: % 31.10/8.53 | (572) all_0_44_44 = e2 % 31.10/8.53 | % 31.10/8.53 | Equations (572) can reduce 915 to: % 31.10/8.53 | (303) $false % 31.10/8.53 | % 31.10/8.53 |-The branch is then unsatisfiable % 31.10/8.53 |-Branch two: % 31.10/8.53 | (915) ~ (all_0_44_44 = e2) % 31.10/8.53 | (2069) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 31.10/8.53 | % 31.10/8.53 +-Applying beta-rule and splitting (2069), into two cases. % 31.10/8.53 |-Branch one: % 31.10/8.53 | (1096) all_0_44_44 = e4 % 31.10/8.53 | % 31.10/8.53 | Equations (1096) can reduce 474 to: % 31.10/8.53 | (303) $false % 31.10/8.53 | % 31.10/8.53 |-The branch is then unsatisfiable % 31.10/8.53 |-Branch two: % 31.10/8.53 | (474) ~ (all_0_44_44 = e4) % 31.10/8.53 | (2073) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 31.10/8.53 | % 31.10/8.53 +-Applying beta-rule and splitting (2073), into two cases. % 31.10/8.53 |-Branch one: % 31.10/8.53 | (705) all_0_44_44 = e1 % 31.10/8.53 | % 31.10/8.53 | Equations (705) can reduce 124 to: % 31.10/8.53 | (683) ~ (all_0_40_40 = e1) % 31.10/8.53 | % 31.10/8.53 +-Applying beta-rule and splitting (175), into two cases. % 31.10/8.53 |-Branch one: % 31.10/8.53 | (624) all_0_40_40 = e1 % 31.10/8.53 | % 31.10/8.53 | Equations (624) can reduce 683 to: % 31.10/8.53 | (303) $false % 31.10/8.53 | % 31.10/8.53 |-The branch is then unsatisfiable % 31.10/8.53 |-Branch two: % 31.10/8.53 | (683) ~ (all_0_40_40 = e1) % 31.10/8.53 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 31.10/8.53 | % 31.10/8.53 +-Applying beta-rule and splitting (2800), into two cases. % 31.10/8.53 |-Branch one: % 31.10/8.53 | (624) all_0_40_40 = e1 % 31.10/8.53 | % 31.10/8.53 | Equations (624) can reduce 683 to: % 31.10/8.53 | (303) $false % 31.10/8.53 | % 31.10/8.53 |-The branch is then unsatisfiable % 31.10/8.53 |-Branch two: % 31.10/8.53 | (683) ~ (all_0_40_40 = e1) % 31.10/8.53 | (2833) all_0_40_40 = e3 | all_0_40_40 = e0 % 31.10/8.53 | % 31.10/8.53 +-Applying beta-rule and splitting (2833), into two cases. % 31.10/8.53 |-Branch one: % 31.10/8.53 | (2834) all_0_40_40 = e0 % 31.10/8.53 | % 31.10/8.53 | Equations (2834) can reduce 288 to: % 31.10/8.53 | (303) $false % 31.10/8.53 | % 31.10/8.53 |-The branch is then unsatisfiable % 31.10/8.53 |-Branch two: % 31.10/8.53 | (288) ~ (all_0_40_40 = e0) % 31.10/8.53 | (1102) all_0_40_40 = e3 % 31.10/8.53 | % 31.10/8.53 | Equations (1102) can reduce 432 to: % 31.10/8.53 | (303) $false % 31.10/8.53 | % 31.10/8.53 |-The branch is then unsatisfiable % 31.10/8.53 |-Branch two: % 31.10/8.53 | (512) ~ (all_0_44_44 = e1) % 31.10/8.53 | (2077) all_0_44_44 = e3 | all_0_44_44 = e0 % 31.10/8.53 | % 31.10/8.53 +-Applying beta-rule and splitting (2077), into two cases. % 31.10/8.53 |-Branch one: % 31.10/8.53 | (2078) all_0_44_44 = e0 % 31.10/8.53 | % 31.10/8.53 | Equations (2078) can reduce 330 to: % 31.10/8.53 | (303) $false % 31.10/8.53 | % 31.10/8.53 |-The branch is then unsatisfiable % 31.10/8.53 |-Branch two: % 31.10/8.53 | (330) ~ (all_0_44_44 = e0) % 31.10/8.53 | (2081) all_0_44_44 = e3 % 31.10/8.53 | % 31.10/8.53 | Equations (2081) can reduce 310 to: % 31.10/8.53 | (303) $false % 31.10/8.53 | % 31.10/8.53 |-The branch is then unsatisfiable % 31.10/8.53 |-Branch two: % 31.10/8.53 | (572) all_0_44_44 = e2 % 31.10/8.53 | (3781) all_0_42_42 = e0 & ~ (unit = e2) % 31.10/8.53 | % 31.10/8.53 | Applying alpha-rule on (3781) yields: % 31.10/8.53 | (324) all_0_42_42 = e0 % 31.10/8.53 | (599) ~ (unit = e2) % 31.10/8.53 | % 31.10/8.53 | Combining equations (3175,324) yields a new equation: % 31.10/8.53 | (1573) e4 = e0 % 31.10/8.53 | % 31.10/8.53 | Simplifying 1573 yields: % 31.10/8.53 | (654) e4 = e0 % 31.10/8.53 | % 31.10/8.53 | Equations (654) can reduce 4 to: % 31.10/8.53 | (303) $false % 31.10/8.53 | % 31.10/8.53 |-The branch is then unsatisfiable % 31.10/8.53 |-Branch two: % 31.10/8.53 | (509) ~ (all_0_53_53 = e1) % 31.10/8.53 | (530) all_0_55_55 = e1 % 31.10/8.53 | % 31.10/8.53 | Combining equations (530,473) yields a new equation: % 31.10/8.53 | (541) e4 = e1 % 31.10/8.53 | % 31.10/8.53 | Equations (541) can reduce 247 to: % 31.10/8.53 | (303) $false % 31.10/8.53 | % 31.10/8.53 |-The branch is then unsatisfiable % 31.10/8.53 |-Branch two: % 31.10/8.53 | (2590) ~ (all_0_57_57 = e3) % 31.10/8.53 | (2977) all_0_59_59 = e3 | all_0_60_60 = e3 % 31.10/8.53 | % 31.10/8.53 +-Applying beta-rule and splitting (2977), into two cases. % 31.10/8.53 |-Branch one: % 31.10/8.53 | (456) all_0_59_59 = e3 % 31.10/8.53 | % 31.10/8.53 | Combining equations (456,717) yields a new equation: % 31.10/8.53 | (443) e4 = e3 % 31.10/8.53 | % 31.10/8.53 | Equations (443) can reduce 30 to: % 31.10/8.53 | (303) $false % 31.10/8.53 | % 31.10/8.53 |-The branch is then unsatisfiable % 31.10/8.53 |-Branch two: % 31.10/8.53 | (1031) ~ (all_0_59_59 = e3) % 31.10/8.53 | (1937) all_0_60_60 = e3 % 31.10/8.53 | % 31.10/8.53 | Equations (1937) can reduce 316 to: % 31.10/8.53 | (303) $false % 31.10/8.53 | % 31.10/8.53 |-The branch is then unsatisfiable % 31.10/8.53 |-Branch two: % 31.10/8.53 | (521) ~ (all_0_52_52 = e3) % 31.10/8.53 | (1006) all_0_53_53 = e3 | all_0_55_55 = e3 % 31.10/8.53 | % 31.10/8.53 +-Applying beta-rule and splitting (1006), into two cases. % 31.10/8.53 |-Branch one: % 31.10/8.53 | (994) all_0_53_53 = e3 % 31.10/8.53 | % 31.15/8.53 | Equations (994) can reduce 251 to: % 31.15/8.53 | (2589) ~ (all_0_57_57 = e3) % 31.15/8.53 | % 31.15/8.53 | Simplifying 2589 yields: % 31.15/8.53 | (2590) ~ (all_0_57_57 = e3) % 31.15/8.53 | % 31.15/8.53 | Equations (994) can reduce 229 to: % 31.15/8.53 | (439) ~ (e4 = e3) % 31.15/8.53 | % 31.15/8.53 | Simplifying 439 yields: % 31.15/8.53 | (30) ~ (e4 = e3) % 31.15/8.53 | % 31.15/8.53 | From (994) and (242) follows: % 31.15/8.53 | (2592) op(e3, e3) = all_0_26_26 % 31.15/8.53 | % 31.15/8.53 | From (994) and (54) follows: % 31.15/8.53 | (2593) op(e3, e1) = all_0_25_25 % 31.15/8.53 | % 31.15/8.53 | From (994) and (224) follows: % 31.15/8.53 | (650) op(e1, e3) = e3 % 31.15/8.53 | % 31.15/8.53 +-Applying beta-rule and splitting (250), into two cases. % 31.15/8.53 |-Branch one: % 31.15/8.53 | (897) all_0_57_57 = e2 % 31.15/8.53 | % 31.15/8.53 | Equations (897) can reduce 377 to: % 31.15/8.53 | (303) $false % 31.15/8.53 | % 31.15/8.53 |-The branch is then unsatisfiable % 31.15/8.53 |-Branch two: % 31.15/8.53 | (377) ~ (all_0_57_57 = e2) % 31.15/8.53 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 31.15/8.53 | % 31.15/8.53 +-Applying beta-rule and splitting (85), into two cases. % 31.15/8.53 |-Branch one: % 31.15/8.53 | (1070) all_0_52_52 = e1 % 31.15/8.53 | % 31.15/8.53 | Equations (1070) can reduce 188 to: % 31.15/8.53 | (683) ~ (all_0_40_40 = e1) % 31.15/8.53 | % 31.15/8.53 | Equations (1070) can reduce 149 to: % 31.15/8.53 | (1799) ~ (all_0_56_56 = e1) % 31.15/8.53 | % 31.15/8.53 | Simplifying 1799 yields: % 31.15/8.53 | (587) ~ (all_0_56_56 = e1) % 31.15/8.53 | % 31.15/8.53 | Equations (1070) can reduce 78 to: % 31.15/8.53 | (134) ~ (e1 = e0) % 31.15/8.53 | % 31.15/8.53 +-Applying beta-rule and splitting (44), into two cases. % 31.15/8.53 |-Branch one: % 31.15/8.53 | (624) all_0_40_40 = e1 % 31.15/8.53 | % 31.15/8.53 | Equations (624) can reduce 683 to: % 31.15/8.53 | (303) $false % 31.15/8.53 | % 31.15/8.53 |-The branch is then unsatisfiable % 31.15/8.53 |-Branch two: % 31.15/8.53 | (683) ~ (all_0_40_40 = e1) % 31.15/8.53 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 31.15/8.53 | % 31.15/8.53 +-Applying beta-rule and splitting (209), into two cases. % 31.15/8.53 |-Branch one: % 31.15/8.53 | (1111) all_0_56_56 = e3 % 31.15/8.53 | % 31.15/8.53 | Equations (1111) can reduce 57 to: % 31.15/8.53 | (432) ~ (all_0_40_40 = e3) % 31.15/8.53 | % 31.15/8.53 | Equations (1111) can reduce 172 to: % 31.15/8.53 | (2589) ~ (all_0_57_57 = e3) % 31.15/8.53 | % 31.15/8.53 | Simplifying 2589 yields: % 31.15/8.53 | (2590) ~ (all_0_57_57 = e3) % 31.15/8.53 | % 31.15/8.53 | Equations (1111) can reduce 587 to: % 31.15/8.53 | (136) ~ (e3 = e1) % 31.15/8.53 | % 31.15/8.53 | Equations (1111) can reduce 296 to: % 31.15/8.53 | (70) ~ (e3 = e0) % 31.15/8.53 | % 31.15/8.53 | From (1111) and (185) follows: % 31.15/8.53 | (3828) op(e3, e4) = all_0_32_32 % 31.15/8.53 | % 31.15/8.53 | From (1111) and (132) follows: % 31.15/8.53 | (1116) op(e0, e4) = e3 % 31.15/8.53 | % 31.15/8.53 +-Applying beta-rule and splitting (688), into two cases. % 31.15/8.53 |-Branch one: % 31.15/8.53 | (696) all_0_41_41 = e1 % 31.15/8.53 | % 31.15/8.53 | Combining equations (398,696) yields a new equation: % 31.15/8.53 | (590) e1 = e0 % 31.15/8.53 | % 31.15/8.53 | Equations (590) can reduce 134 to: % 31.15/8.53 | (303) $false % 31.15/8.53 | % 31.15/8.53 |-The branch is then unsatisfiable % 31.15/8.53 |-Branch two: % 31.15/8.53 | (699) ~ (all_0_41_41 = e1) % 31.15/8.53 | (700) all_0_43_43 = e1 | all_0_44_44 = e1 % 31.15/8.53 | % 31.15/8.53 +-Applying beta-rule and splitting (700), into two cases. % 31.15/8.53 |-Branch one: % 31.15/8.53 | (618) all_0_43_43 = e1 % 31.15/8.53 | % 31.15/8.53 | Combining equations (447,618) yields a new equation: % 31.15/8.53 | (680) e3 = e1 % 31.15/8.53 | % 31.15/8.53 | Simplifying 680 yields: % 31.15/8.53 | (601) e3 = e1 % 31.15/8.53 | % 31.15/8.53 | Equations (601) can reduce 136 to: % 31.15/8.53 | (303) $false % 31.15/8.53 | % 31.15/8.53 |-The branch is then unsatisfiable % 31.15/8.53 |-Branch two: % 31.15/8.53 | (622) ~ (all_0_43_43 = e1) % 31.15/8.53 | (705) all_0_44_44 = e1 % 31.15/8.53 | % 31.15/8.53 | Equations (705) can reduce 124 to: % 31.15/8.53 | (683) ~ (all_0_40_40 = e1) % 31.15/8.53 | % 31.15/8.53 | Equations (705) can reduce 165 to: % 31.15/8.53 | (1050) ~ (all_0_60_60 = e1) % 31.15/8.53 | % 31.15/8.53 | Simplifying 1050 yields: % 31.15/8.53 | (501) ~ (all_0_60_60 = e1) % 31.15/8.53 | % 31.15/8.53 | Equations (705) can reduce 474 to: % 31.15/8.53 | (605) ~ (e4 = e1) % 31.15/8.53 | % 31.15/8.53 | Simplifying 605 yields: % 31.15/8.53 | (247) ~ (e4 = e1) % 31.15/8.53 | % 31.15/8.53 | Equations (705) can reduce 310 to: % 31.15/8.53 | (465) ~ (e3 = e1) % 31.15/8.53 | % 31.15/8.53 | Simplifying 465 yields: % 31.15/8.53 | (136) ~ (e3 = e1) % 31.15/8.53 | % 31.15/8.53 +-Applying beta-rule and splitting (56), into two cases. % 31.15/8.53 |-Branch one: % 31.15/8.53 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 31.15/8.54 | % 31.15/8.54 +-Applying beta-rule and splitting (480), into two cases. % 31.15/8.54 |-Branch one: % 31.15/8.54 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 31.15/8.54 | % 31.15/8.54 +-Applying beta-rule and splitting (481), into two cases. % 31.15/8.54 |-Branch one: % 31.15/8.54 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 31.15/8.54 | % 31.15/8.54 +-Applying beta-rule and splitting (482), into two cases. % 31.15/8.54 |-Branch one: % 31.15/8.54 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 31.15/8.54 | % 31.15/8.54 | Applying alpha-rule on (483) yields: % 31.15/8.54 | (484) ~ (unit = e4) % 31.15/8.54 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 31.15/8.54 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 31.15/8.54 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 31.15/8.54 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 31.15/8.54 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 31.15/8.54 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 31.15/8.54 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 31.15/8.54 | (492) ~ (all_0_55_55 = e4) % 31.15/8.54 | (493) all_0_45_45 = e3 % 31.15/8.54 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 31.15/8.54 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 31.15/8.54 | % 31.15/8.54 | Combining equations (287,493) yields a new equation: % 31.15/8.54 | (497) e3 = e0 % 31.15/8.54 | % 31.15/8.54 | Equations (497) can reduce 70 to: % 31.15/8.54 | (303) $false % 31.15/8.54 | % 31.15/8.54 |-The branch is then unsatisfiable % 31.15/8.54 |-Branch two: % 31.15/8.54 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 31.15/8.54 | % 31.15/8.54 | Applying alpha-rule on (499) yields: % 31.15/8.54 | (500) ~ (all_0_51_51 = e1) % 31.15/8.54 | (501) ~ (all_0_60_60 = e1) % 31.15/8.54 | (502) ~ (all_0_52_52 = e1) % 31.15/8.54 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 31.15/8.54 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 31.15/8.54 | (252) all_0_46_46 = e2 % 31.15/8.54 | (506) ~ (all_0_49_49 = e1) % 31.15/8.54 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 31.15/8.54 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 31.15/8.54 | (509) ~ (all_0_53_53 = e1) % 31.15/8.54 | (510) ~ (unit = e1) % 31.15/8.54 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 31.15/8.54 | (512) ~ (all_0_44_44 = e1) % 31.15/8.54 | % 31.15/8.54 | Equations (1070) can reduce 502 to: % 31.15/8.54 | (303) $false % 31.15/8.54 | % 31.15/8.54 |-The branch is then unsatisfiable % 31.15/8.54 |-Branch two: % 31.15/8.54 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 31.15/8.54 | % 31.15/8.54 | Applying alpha-rule on (514) yields: % 31.15/8.54 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 31.15/8.54 | (516) ~ (all_0_47_47 = e3) % 31.15/8.54 | (314) ~ (all_0_55_55 = e3) % 31.15/8.54 | (368) all_0_49_49 = e2 % 31.15/8.54 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 31.15/8.54 | (520) ~ (unit = e3) % 31.15/8.54 | (521) ~ (all_0_52_52 = e3) % 31.15/8.54 | (455) ~ (all_0_46_46 = e3) % 31.15/8.54 | (432) ~ (all_0_40_40 = e3) % 31.15/8.54 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 31.15/8.54 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 31.15/8.54 | (526) ~ (all_0_56_56 = e3) % 31.15/8.54 | % 31.15/8.54 | Equations (1111) can reduce 526 to: % 31.15/8.54 | (303) $false % 31.15/8.54 | % 31.15/8.54 |-The branch is then unsatisfiable % 31.15/8.54 |-Branch two: % 31.15/8.54 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 31.15/8.54 | % 31.15/8.54 | Applying alpha-rule on (528) yields: % 31.15/8.54 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 31.15/8.54 | (530) all_0_55_55 = e1 % 31.15/8.54 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 31.15/8.54 | (387) ~ (all_0_49_49 = e0) % 31.15/8.54 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 31.15/8.54 | (534) ~ (all_0_45_45 = e0) % 31.15/8.54 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 31.15/8.54 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 31.15/8.54 | (537) ~ (unit = e0) % 31.15/8.54 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 31.15/8.54 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 31.15/8.54 | % 31.15/8.54 | Combining equations (473,530) yields a new equation: % 31.15/8.54 | (540) e4 = e1 % 31.15/8.54 | % 31.15/8.54 | Simplifying 540 yields: % 31.15/8.54 | (541) e4 = e1 % 31.15/8.54 | % 31.15/8.54 | Equations (541) can reduce 247 to: % 31.15/8.54 | (303) $false % 31.15/8.54 | % 31.15/8.54 |-The branch is then unsatisfiable % 31.15/8.54 |-Branch two: % 31.15/8.54 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 31.15/8.54 | % 31.15/8.54 | Applying alpha-rule on (543) yields: % 31.15/8.54 | (544) ~ (all_0_48_48 = e2) % 31.15/8.54 | (369) ~ (all_0_41_41 = e2) % 31.15/8.54 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 31.15/8.54 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 31.15/8.54 | (253) ~ (all_0_43_43 = e2) % 31.15/8.54 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 31.15/8.54 | (276) ~ (all_0_55_55 = e2) % 31.15/8.54 | (260) ~ (all_0_59_59 = e2) % 31.15/8.54 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 31.15/8.54 | (274) ~ (all_0_53_53 = e2) % 31.15/8.54 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 31.15/8.54 | (373) ~ (all_0_51_51 = e2) % 31.15/8.54 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 31.15/8.54 | (256) ~ (all_0_47_47 = e2) % 31.15/8.54 | (377) ~ (all_0_57_57 = e2) % 31.15/8.54 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 31.15/8.54 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 31.15/8.54 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 31.15/8.54 | (258) ~ (all_0_50_50 = e2) % 31.15/8.54 | (254) ~ (all_0_45_45 = e2) % 31.15/8.54 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 31.15/8.54 | % 31.15/8.54 | Equations (388) can reduce 373 to: % 31.15/8.54 | (335) ~ (e2 = e0) % 31.15/8.54 | % 31.15/8.54 | Simplifying 335 yields: % 31.15/8.54 | (51) ~ (e2 = e0) % 31.15/8.54 | % 31.15/8.54 | Equations (994) can reduce 274 to: % 31.15/8.54 | (223) ~ (e3 = e2) % 31.15/8.54 | % 31.15/8.54 | Equations (717) can reduce 260 to: % 31.15/8.54 | (231) ~ (e4 = e2) % 31.15/8.54 | % 31.15/8.54 +-Applying beta-rule and splitting (220), into two cases. % 31.15/8.54 |-Branch one: % 31.15/8.54 | (913) all_0_60_60 = e2 % 31.15/8.54 | % 31.15/8.54 | From (913) and (170) follows: % 31.15/8.54 | (3491) op(e0, e0) = e2 % 31.15/8.54 | % 31.15/8.54 +-Applying beta-rule and splitting (96), into two cases. % 31.15/8.54 |-Branch one: % 31.15/8.54 | (917) all_0_40_40 = e2 % 31.15/8.54 | % 31.15/8.54 | Equations (917) can reduce 683 to: % 31.15/8.54 | (144) ~ (e2 = e1) % 31.15/8.54 | % 31.15/8.54 +-Applying beta-rule and splitting (547), into two cases. % 31.15/8.54 |-Branch one: % 31.15/8.54 | (571) ~ (all_0_60_60 = e2) % 31.15/8.54 | % 31.15/8.54 | Equations (913) can reduce 571 to: % 31.15/8.54 | (303) $false % 31.15/8.54 | % 31.15/8.54 |-The branch is then unsatisfiable % 31.15/8.54 |-Branch two: % 31.15/8.54 | (913) all_0_60_60 = e2 % 31.15/8.54 | (988) all_0_58_58 = e0 & ~ (unit = e2) % 31.15/8.54 | % 31.15/8.54 | Applying alpha-rule on (988) yields: % 31.15/8.54 | (989) all_0_58_58 = e0 % 31.15/8.54 | (599) ~ (unit = e2) % 31.15/8.54 | % 31.15/8.54 +-Applying beta-rule and splitting (245), into two cases. % 31.15/8.54 |-Branch one: % 31.15/8.54 | (583) all_0_56_56 = e1 % 31.15/8.54 | % 31.15/8.54 | Combining equations (583,1111) yields a new equation: % 31.15/8.54 | (601) e3 = e1 % 31.15/8.54 | % 31.15/8.54 | Equations (601) can reduce 136 to: % 31.15/8.54 | (303) $false % 31.15/8.54 | % 31.15/8.54 |-The branch is then unsatisfiable % 31.15/8.54 |-Branch two: % 31.15/8.54 | (587) ~ (all_0_56_56 = e1) % 31.15/8.54 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 31.15/8.54 | % 31.15/8.54 +-Applying beta-rule and splitting (588), into two cases. % 31.15/8.54 |-Branch one: % 31.15/8.54 | (589) all_0_57_57 = e1 % 31.15/8.54 | % 31.15/8.54 | Equations (589) can reduce 2273 to: % 31.15/8.54 | (134) ~ (e1 = e0) % 31.15/8.54 | % 31.15/8.54 | From (589) and (35) follows: % 31.15/8.54 | (3953) op(e1, e3) = all_0_34_34 % 31.15/8.54 | % 31.15/8.54 | Instantiating formula (29) with e3, e4, all_0_32_32, e0 and discharging atoms op(e3, e4) = all_0_32_32, op(e3, e4) = e0, yields: % 31.15/8.54 | (3653) all_0_32_32 = e0 % 31.15/8.54 | % 31.15/8.54 | Instantiating formula (29) with e3, e3, all_0_26_26, e4 and discharging atoms op(e3, e3) = all_0_26_26, op(e3, e3) = e4, yields: % 31.15/8.54 | (2620) all_0_26_26 = e4 % 31.15/8.54 | % 31.15/8.54 | Instantiating formula (29) with e3, e1, all_0_25_25, e2 and discharging atoms op(e3, e1) = all_0_25_25, op(e3, e1) = e2, yields: % 31.15/8.54 | (2621) all_0_25_25 = e2 % 31.15/8.54 | % 31.15/8.54 | Instantiating formula (29) with e1, e3, e3, all_0_34_34 and discharging atoms op(e1, e3) = all_0_34_34, op(e1, e3) = e3, yields: % 31.15/8.55 | (3957) all_0_34_34 = e3 % 31.15/8.55 | % 31.15/8.55 | From (3653) and (3828) follows: % 31.15/8.55 | (301) op(e3, e4) = e0 % 31.15/8.55 | % 31.15/8.55 | From (2620) and (2592) follows: % 31.15/8.55 | (22) op(e3, e3) = e4 % 31.15/8.55 | % 31.15/8.55 | From (2621) and (2593) follows: % 31.15/8.55 | (266) op(e3, e1) = e2 % 31.15/8.55 | % 31.15/8.55 | From (3957) and (3953) follows: % 31.15/8.55 | (650) op(e1, e3) = e3 % 31.15/8.55 | % 31.15/8.55 +-Applying beta-rule and splitting (62), into two cases. % 31.15/8.55 |-Branch one: % 31.15/8.55 | (631) unit = e2 % 31.15/8.55 | % 31.15/8.55 | Equations (631) can reduce 599 to: % 31.15/8.55 | (303) $false % 31.15/8.55 | % 31.15/8.55 |-The branch is then unsatisfiable % 31.15/8.55 |-Branch two: % 31.15/8.55 | (599) ~ (unit = e2) % 31.15/8.55 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 31.15/8.55 | % 31.15/8.55 +-Applying beta-rule and splitting (634), into two cases. % 31.15/8.55 |-Branch one: % 31.15/8.55 | (635) unit = e4 % 31.15/8.55 | % 31.15/8.55 | From (635) and (38) follows: % 31.15/8.55 | (636) op(e4, e1) = e1 % 31.15/8.55 | % 31.15/8.55 | From (635) and (111) follows: % 31.15/8.55 | (638) op(e0, e4) = e0 % 31.15/8.55 | % 31.15/8.55 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 31.15/8.55 | (601) e3 = e1 % 31.15/8.55 | % 31.15/8.55 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 31.15/8.55 | (497) e3 = e0 % 31.15/8.55 | % 31.15/8.55 | Combining equations (601,497) yields a new equation: % 31.15/8.55 | (670) e1 = e0 % 31.15/8.55 | % 31.15/8.55 | Simplifying 670 yields: % 31.15/8.55 | (590) e1 = e0 % 31.15/8.55 | % 31.15/8.55 | Equations (590) can reduce 134 to: % 31.15/8.55 | (303) $false % 31.15/8.55 | % 31.15/8.55 |-The branch is then unsatisfiable % 31.15/8.55 |-Branch two: % 31.15/8.55 | (484) ~ (unit = e4) % 31.15/8.55 | (647) unit = e3 | unit = e1 | unit = e0 % 31.15/8.55 | % 31.15/8.55 +-Applying beta-rule and splitting (647), into two cases. % 31.15/8.55 |-Branch one: % 31.15/8.55 | (648) unit = e1 % 31.15/8.55 | % 31.15/8.55 | From (648) and (130) follows: % 31.15/8.55 | (617) op(e4, e1) = e4 % 31.15/8.55 | % 31.15/8.55 | From (648) and (98) follows: % 31.15/8.55 | (1862) op(e3, e1) = e3 % 31.15/8.55 | % 31.15/8.55 | From (648) and (74) follows: % 31.15/8.55 | (769) op(e2, e1) = e2 % 31.15/8.55 | % 31.15/8.55 | From (648) and (111) follows: % 31.15/8.55 | (770) op(e0, e1) = e0 % 31.15/8.55 | % 31.15/8.55 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 31.15/8.55 | (443) e4 = e3 % 31.15/8.55 | % 31.15/8.55 | Instantiating formula (29) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields: % 31.15/8.55 | (453) e3 = e2 % 31.15/8.55 | % 31.15/8.55 | Instantiating formula (29) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 31.15/8.55 | (585) e2 = e1 % 31.15/8.55 | % 31.15/8.55 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 31.15/8.55 | (654) e4 = e0 % 31.15/8.55 | % 31.15/8.55 | Combining equations (443,654) yields a new equation: % 31.15/8.55 | (496) e3 = e0 % 31.15/8.55 | % 31.15/8.55 | Simplifying 496 yields: % 31.15/8.55 | (497) e3 = e0 % 31.15/8.55 | % 31.15/8.55 | Combining equations (497,453) yields a new equation: % 31.15/8.55 | (385) e2 = e0 % 31.15/8.55 | % 31.15/8.55 | Combining equations (385,585) yields a new equation: % 31.15/8.55 | (590) e1 = e0 % 31.15/8.55 | % 31.15/8.55 | Equations (590) can reduce 134 to: % 31.15/8.55 | (303) $false % 31.15/8.55 | % 31.15/8.55 |-The branch is then unsatisfiable % 31.15/8.55 |-Branch two: % 31.15/8.55 | (510) ~ (unit = e1) % 31.15/8.55 | (659) unit = e3 | unit = e0 % 31.15/8.55 | % 31.15/8.55 +-Applying beta-rule and splitting (659), into two cases. % 31.15/8.55 |-Branch one: % 31.15/8.55 | (660) unit = e0 % 31.15/8.55 | % 31.15/8.55 | Equations (660) can reduce 599 to: % 31.15/8.55 | (335) ~ (e2 = e0) % 31.15/8.55 | % 31.15/8.55 | Simplifying 335 yields: % 31.15/8.55 | (51) ~ (e2 = e0) % 31.15/8.55 | % 31.15/8.55 | From (660) and (111) follows: % 31.15/8.55 | (3633) op(e0, e0) = e0 % 31.15/8.55 | % 31.15/8.55 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 31.15/8.55 | (385) e2 = e0 % 31.15/8.55 | % 31.15/8.55 | Equations (385) can reduce 51 to: % 31.15/8.55 | (303) $false % 31.15/8.55 | % 31.15/8.55 |-The branch is then unsatisfiable % 31.15/8.55 |-Branch two: % 31.15/8.55 | (537) ~ (unit = e0) % 31.15/8.55 | (674) unit = e3 % 31.15/8.55 | % 31.15/8.55 | From (674) and (17) follows: % 31.15/8.55 | (1207) op(e3, e4) = e4 % 31.15/8.55 | % 31.15/8.55 | From (674) and (98) follows: % 31.15/8.55 | (1208) op(e3, e3) = e3 % 31.15/8.55 | % 31.15/8.55 | From (674) and (190) follows: % 31.15/8.55 | (468) op(e1, e3) = e1 % 31.15/8.55 | % 31.15/8.55 | Instantiating formula (29) with e3, e4, e4, e0 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e0, yields: % 31.15/8.55 | (654) e4 = e0 % 31.15/8.55 | % 31.15/8.55 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 31.15/8.55 | (443) e4 = e3 % 31.15/8.55 | % 31.15/8.55 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 31.15/8.55 | (601) e3 = e1 % 31.15/8.55 | % 31.15/8.55 | Combining equations (654,443) yields a new equation: % 31.15/8.55 | (497) e3 = e0 % 31.15/8.55 | % 31.15/8.55 | Combining equations (601,497) yields a new equation: % 31.15/8.55 | (670) e1 = e0 % 31.15/8.55 | % 31.15/8.55 | Simplifying 670 yields: % 31.15/8.55 | (590) e1 = e0 % 31.15/8.55 | % 31.15/8.55 | Equations (590) can reduce 134 to: % 31.15/8.55 | (303) $false % 31.15/8.55 | % 31.15/8.55 |-The branch is then unsatisfiable % 31.15/8.55 |-Branch two: % 31.15/8.55 | (592) ~ (all_0_57_57 = e1) % 31.15/8.55 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 31.15/8.55 | % 31.15/8.55 +-Applying beta-rule and splitting (593), into two cases. % 31.15/8.55 |-Branch one: % 31.15/8.55 | (600) all_0_59_59 = e1 % 31.15/8.55 | % 31.15/8.55 | Combining equations (717,600) yields a new equation: % 31.15/8.55 | (540) e4 = e1 % 31.15/8.55 | % 31.15/8.55 | Simplifying 540 yields: % 31.15/8.55 | (541) e4 = e1 % 31.15/8.55 | % 31.15/8.55 | Equations (541) can reduce 247 to: % 31.15/8.55 | (303) $false % 31.15/8.55 | % 31.15/8.55 |-The branch is then unsatisfiable % 31.15/8.55 |-Branch two: % 31.15/8.55 | (603) ~ (all_0_59_59 = e1) % 31.15/8.55 | (604) all_0_60_60 = e1 % 31.15/8.55 | % 31.15/8.55 | Combining equations (913,604) yields a new equation: % 31.15/8.55 | (584) e2 = e1 % 31.15/8.55 | % 31.15/8.55 | Simplifying 584 yields: % 31.15/8.55 | (585) e2 = e1 % 31.15/8.55 | % 31.15/8.55 | Equations (585) can reduce 144 to: % 31.15/8.55 | (303) $false % 31.15/8.55 | % 31.15/8.55 |-The branch is then unsatisfiable % 31.15/8.55 |-Branch two: % 31.15/8.55 | (939) ~ (all_0_40_40 = e2) % 31.15/8.55 | (944) all_0_45_45 = e2 | all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 31.15/8.55 | % 31.15/8.55 +-Applying beta-rule and splitting (157), into two cases. % 31.15/8.55 |-Branch one: % 31.15/8.55 | (917) all_0_40_40 = e2 % 31.15/8.55 | % 31.15/8.55 | Equations (917) can reduce 939 to: % 31.15/8.55 | (303) $false % 31.15/8.55 | % 31.15/8.55 |-The branch is then unsatisfiable % 31.15/8.55 |-Branch two: % 31.15/8.55 | (939) ~ (all_0_40_40 = e2) % 31.15/8.55 | (940) all_0_41_41 = e2 | all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 31.15/8.55 | % 31.15/8.55 +-Applying beta-rule and splitting (233), into two cases. % 31.15/8.55 |-Branch one: % 31.15/8.55 | (917) all_0_40_40 = e2 % 31.15/8.55 | % 31.15/8.55 | Equations (917) can reduce 939 to: % 31.15/8.55 | (303) $false % 31.15/8.55 | % 31.15/8.55 |-The branch is then unsatisfiable % 31.15/8.55 |-Branch two: % 31.15/8.55 | (939) ~ (all_0_40_40 = e2) % 31.15/8.55 | (2671) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 31.15/8.55 | % 31.15/8.55 +-Applying beta-rule and splitting (2671), into two cases. % 31.15/8.55 |-Branch one: % 31.15/8.55 | (723) all_0_40_40 = e4 % 31.15/8.55 | % 31.15/8.55 | Equations (723) can reduce 844 to: % 31.15/8.55 | (303) $false % 31.15/8.55 | % 31.15/8.55 |-The branch is then unsatisfiable % 31.15/8.55 |-Branch two: % 31.15/8.55 | (844) ~ (all_0_40_40 = e4) % 31.15/8.55 | (2800) all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 31.15/8.55 | % 31.15/8.55 +-Applying beta-rule and splitting (2800), into two cases. % 31.15/8.55 |-Branch one: % 31.15/8.55 | (624) all_0_40_40 = e1 % 31.15/8.55 | % 31.15/8.55 | Equations (624) can reduce 683 to: % 31.15/8.55 | (303) $false % 31.15/8.55 | % 31.15/8.55 |-The branch is then unsatisfiable % 31.15/8.55 |-Branch two: % 31.15/8.55 | (683) ~ (all_0_40_40 = e1) % 31.15/8.55 | (2833) all_0_40_40 = e3 | all_0_40_40 = e0 % 31.15/8.55 | % 31.15/8.55 +-Applying beta-rule and splitting (2833), into two cases. % 31.15/8.55 |-Branch one: % 31.15/8.55 | (2834) all_0_40_40 = e0 % 31.15/8.55 | % 31.15/8.55 | Equations (2834) can reduce 288 to: % 31.15/8.55 | (303) $false % 31.15/8.55 | % 31.15/8.55 |-The branch is then unsatisfiable % 31.15/8.55 |-Branch two: % 31.15/8.55 | (288) ~ (all_0_40_40 = e0) % 31.15/8.55 | (1102) all_0_40_40 = e3 % 31.15/8.55 | % 31.15/8.55 | Equations (1102) can reduce 432 to: % 31.15/8.55 | (303) $false % 31.15/8.55 | % 31.15/8.55 |-The branch is then unsatisfiable % 31.15/8.55 |-Branch two: % 31.15/8.55 | (571) ~ (all_0_60_60 = e2) % 31.15/8.55 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 31.15/8.55 | % 31.15/8.55 +-Applying beta-rule and splitting (96), into two cases. % 31.15/8.55 |-Branch one: % 31.15/8.55 | (917) all_0_40_40 = e2 % 31.15/8.55 | % 31.15/8.55 | Equations (917) can reduce 844 to: % 31.15/8.55 | (261) ~ (e4 = e2) % 31.15/8.55 | % 31.15/8.55 | Simplifying 261 yields: % 31.15/8.55 | (231) ~ (e4 = e2) % 31.15/8.55 | % 31.15/8.55 | Equations (917) can reduce 432 to: % 31.15/8.55 | (577) ~ (e3 = e2) % 31.15/8.55 | % 31.15/8.55 | Simplifying 577 yields: % 31.15/8.55 | (223) ~ (e3 = e2) % 31.15/8.55 | % 31.15/8.55 | Equations (917) can reduce 683 to: % 31.15/8.55 | (144) ~ (e2 = e1) % 31.15/8.55 | % 31.15/8.55 | Equations (917) can reduce 288 to: % 31.15/8.55 | (51) ~ (e2 = e0) % 31.15/8.55 | % 31.15/8.55 +-Applying beta-rule and splitting (112), into two cases. % 31.15/8.55 |-Branch one: % 31.15/8.55 | (572) all_0_44_44 = e2 % 31.15/8.55 | % 31.15/8.55 | Combining equations (705,572) yields a new equation: % 31.15/8.55 | (585) e2 = e1 % 31.15/8.55 | % 31.15/8.55 | Equations (585) can reduce 144 to: % 31.15/8.55 | (303) $false % 31.15/8.55 | % 31.15/8.55 |-The branch is then unsatisfiable % 31.15/8.55 |-Branch two: % 31.15/8.55 | (915) ~ (all_0_44_44 = e2) % 31.15/8.55 | (916) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 31.15/8.55 | % 31.15/8.55 +-Applying beta-rule and splitting (245), into two cases. % 31.15/8.55 |-Branch one: % 31.15/8.55 | (583) all_0_56_56 = e1 % 31.15/8.55 | % 31.15/8.55 | Combining equations (1111,583) yields a new equation: % 31.15/8.55 | (680) e3 = e1 % 31.15/8.55 | % 31.15/8.55 | Simplifying 680 yields: % 31.15/8.55 | (601) e3 = e1 % 31.15/8.55 | % 31.15/8.55 | Equations (601) can reduce 136 to: % 31.15/8.55 | (303) $false % 31.15/8.55 | % 31.15/8.55 |-The branch is then unsatisfiable % 31.15/8.55 |-Branch two: % 31.15/8.55 | (587) ~ (all_0_56_56 = e1) % 31.15/8.55 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 31.15/8.55 | % 31.15/8.55 +-Applying beta-rule and splitting (61), into two cases. % 31.15/8.55 |-Branch one: % 31.15/8.55 | (580) all_0_56_56 = e2 % 31.15/8.55 | % 31.15/8.55 | Combining equations (1111,580) yields a new equation: % 31.15/8.55 | (452) e3 = e2 % 31.15/8.55 | % 31.15/8.55 | Simplifying 452 yields: % 31.15/8.55 | (453) e3 = e2 % 31.15/8.55 | % 31.15/8.55 | Equations (453) can reduce 223 to: % 31.15/8.55 | (303) $false % 31.15/8.55 | % 31.15/8.55 |-The branch is then unsatisfiable % 31.15/8.55 |-Branch two: % 31.15/8.55 | (594) ~ (all_0_56_56 = e2) % 31.15/8.55 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 31.15/8.55 | % 31.15/8.55 | Equations (1111) can reduce 594 to: % 31.15/8.55 | (223) ~ (e3 = e2) % 31.15/8.55 | % 31.15/8.55 +-Applying beta-rule and splitting (588), into two cases. % 31.15/8.55 |-Branch one: % 31.15/8.55 | (589) all_0_57_57 = e1 % 31.15/8.55 | % 31.15/8.55 | Equations (589) can reduce 377 to: % 31.15/8.55 | (565) ~ (e2 = e1) % 31.15/8.55 | % 31.15/8.55 | Simplifying 565 yields: % 31.15/8.55 | (144) ~ (e2 = e1) % 31.15/8.55 | % 31.15/8.55 +-Applying beta-rule and splitting (916), into two cases. % 31.15/8.55 |-Branch one: % 31.15/8.55 | (302) all_0_47_47 = e2 % 31.15/8.55 | % 31.15/8.55 | Combining equations (309,302) yields a new equation: % 31.15/8.55 | (452) e3 = e2 % 31.15/8.55 | % 31.15/8.55 | Simplifying 452 yields: % 31.15/8.55 | (453) e3 = e2 % 31.15/8.55 | % 31.15/8.55 | Equations (453) can reduce 223 to: % 31.15/8.55 | (303) $false % 31.15/8.55 | % 31.15/8.55 |-The branch is then unsatisfiable % 31.15/8.55 |-Branch two: % 31.15/8.55 | (256) ~ (all_0_47_47 = e2) % 31.15/8.55 | (926) all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 31.15/8.55 | % 31.15/8.55 +-Applying beta-rule and splitting (896), into two cases. % 31.15/8.55 |-Branch one: % 31.15/8.55 | (897) all_0_57_57 = e2 % 31.15/8.55 | % 31.15/8.55 | Combining equations (589,897) yields a new equation: % 31.15/8.55 | (585) e2 = e1 % 31.15/8.55 | % 31.15/8.55 | Equations (585) can reduce 144 to: % 31.15/8.55 | (303) $false % 31.15/8.55 | % 31.15/8.55 |-The branch is then unsatisfiable % 31.15/8.55 |-Branch two: % 31.15/8.55 | (377) ~ (all_0_57_57 = e2) % 31.15/8.55 | (902) all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 31.15/8.55 | % 31.15/8.55 +-Applying beta-rule and splitting (926), into two cases. % 31.15/8.55 |-Branch one: % 31.15/8.55 | (927) all_0_51_51 = e2 % 31.15/8.55 | % 31.15/8.55 | Combining equations (388,927) yields a new equation: % 31.15/8.55 | (385) e2 = e0 % 31.15/8.55 | % 31.15/8.55 | Equations (385) can reduce 51 to: % 31.15/8.55 | (303) $false % 31.15/8.55 | % 31.15/8.55 |-The branch is then unsatisfiable % 31.15/8.55 |-Branch two: % 31.15/8.55 | (373) ~ (all_0_51_51 = e2) % 31.15/8.55 | (931) all_0_55_55 = e2 | all_0_60_60 = e2 % 31.15/8.55 | % 31.15/8.55 | Equations (388) can reduce 373 to: % 31.15/8.55 | (335) ~ (e2 = e0) % 31.15/8.55 | % 31.15/8.55 | Simplifying 335 yields: % 31.15/8.55 | (51) ~ (e2 = e0) % 31.15/8.55 | % 31.15/8.55 +-Applying beta-rule and splitting (902), into two cases. % 31.15/8.55 |-Branch one: % 31.15/8.55 | (340) all_0_58_58 = e2 % 31.15/8.55 | % 31.15/8.55 | Combining equations (989,340) yields a new equation: % 31.15/8.55 | (385) e2 = e0 % 31.15/8.55 | % 31.15/8.55 | Equations (385) can reduce 51 to: % 31.15/8.55 | (303) $false % 31.15/8.55 | % 31.15/8.55 |-The branch is then unsatisfiable % 31.15/8.55 |-Branch two: % 31.15/8.55 | (278) ~ (all_0_58_58 = e2) % 31.15/8.56 | (908) all_0_59_59 = e2 | all_0_60_60 = e2 % 31.15/8.56 | % 31.15/8.56 +-Applying beta-rule and splitting (908), into two cases. % 31.15/8.56 |-Branch one: % 31.15/8.56 | (909) all_0_59_59 = e2 % 31.15/8.56 | % 31.15/8.56 | Combining equations (717,909) yields a new equation: % 31.15/8.56 | (878) e4 = e2 % 31.15/8.56 | % 31.15/8.56 | Simplifying 878 yields: % 31.15/8.56 | (470) e4 = e2 % 31.15/8.56 | % 31.15/8.56 | Equations (470) can reduce 231 to: % 31.15/8.56 | (303) $false % 31.15/8.56 | % 31.15/8.56 |-The branch is then unsatisfiable % 31.15/8.56 |-Branch two: % 31.15/8.56 | (260) ~ (all_0_59_59 = e2) % 31.15/8.56 | (913) all_0_60_60 = e2 % 31.15/8.56 | % 31.15/8.56 | Equations (913) can reduce 571 to: % 31.15/8.56 | (303) $false % 31.15/8.56 | % 31.15/8.56 |-The branch is then unsatisfiable % 31.15/8.56 |-Branch two: % 31.15/8.56 | (592) ~ (all_0_57_57 = e1) % 31.15/8.56 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 31.15/8.56 | % 31.15/8.56 +-Applying beta-rule and splitting (593), into two cases. % 31.15/8.56 |-Branch one: % 31.15/8.56 | (600) all_0_59_59 = e1 % 31.15/8.56 | % 31.15/8.56 | Combining equations (600,717) yields a new equation: % 31.15/8.56 | (541) e4 = e1 % 31.15/8.56 | % 31.15/8.56 | Equations (541) can reduce 247 to: % 31.15/8.56 | (303) $false % 31.15/8.56 | % 31.15/8.56 |-The branch is then unsatisfiable % 31.15/8.56 |-Branch two: % 31.15/8.56 | (603) ~ (all_0_59_59 = e1) % 31.15/8.56 | (604) all_0_60_60 = e1 % 31.15/8.56 | % 31.15/8.56 | Equations (604) can reduce 501 to: % 31.15/8.56 | (303) $false % 31.15/8.56 | % 31.15/8.56 |-The branch is then unsatisfiable % 31.15/8.56 |-Branch two: % 31.15/8.56 | (939) ~ (all_0_40_40 = e2) % 31.15/8.56 | (944) all_0_45_45 = e2 | all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 31.15/8.56 | % 31.15/8.56 +-Applying beta-rule and splitting (157), into two cases. % 31.15/8.56 |-Branch one: % 31.15/8.56 | (917) all_0_40_40 = e2 % 31.15/8.56 | % 31.15/8.56 | Equations (917) can reduce 939 to: % 31.15/8.56 | (303) $false % 31.15/8.56 | % 31.15/8.56 |-The branch is then unsatisfiable % 31.15/8.56 |-Branch two: % 31.15/8.56 | (939) ~ (all_0_40_40 = e2) % 31.15/8.56 | (940) all_0_41_41 = e2 | all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 31.15/8.56 | % 31.15/8.56 +-Applying beta-rule and splitting (61), into two cases. % 31.15/8.56 |-Branch one: % 31.15/8.56 | (580) all_0_56_56 = e2 % 31.15/8.56 | % 31.15/8.56 | Combining equations (580,1111) yields a new equation: % 31.15/8.56 | (453) e3 = e2 % 31.15/8.56 | % 31.15/8.56 | Equations (453) can reduce 223 to: % 31.15/8.56 | (303) $false % 31.15/8.56 | % 31.15/8.56 |-The branch is then unsatisfiable % 31.15/8.56 |-Branch two: % 31.15/8.56 | (594) ~ (all_0_56_56 = e2) % 31.15/8.56 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 31.15/8.56 | % 31.15/8.56 | Equations (1111) can reduce 594 to: % 31.15/8.56 | (223) ~ (e3 = e2) % 31.15/8.56 | % 31.15/8.56 +-Applying beta-rule and splitting (940), into two cases. % 31.15/8.56 |-Branch one: % 31.15/8.56 | (945) all_0_41_41 = e2 % 31.15/8.56 | % 31.15/8.56 | Combining equations (398,945) yields a new equation: % 31.15/8.56 | (385) e2 = e0 % 31.15/8.56 | % 31.15/8.56 | Equations (385) can reduce 51 to: % 31.15/8.56 | (303) $false % 31.15/8.56 | % 31.15/8.56 |-The branch is then unsatisfiable % 31.15/8.56 |-Branch two: % 31.15/8.56 | (369) ~ (all_0_41_41 = e2) % 31.15/8.56 | (949) all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 31.15/8.56 | % 31.15/8.56 +-Applying beta-rule and splitting (2652), into two cases. % 31.15/8.56 |-Branch one: % 31.15/8.56 | (589) all_0_57_57 = e1 % 31.15/8.56 | % 31.15/8.56 | Equations (589) can reduce 377 to: % 31.15/8.56 | (565) ~ (e2 = e1) % 31.15/8.56 | % 31.15/8.56 | Simplifying 565 yields: % 31.15/8.56 | (144) ~ (e2 = e1) % 31.15/8.56 | % 31.15/8.56 +-Applying beta-rule and splitting (949), into two cases. % 31.15/8.56 |-Branch one: % 31.15/8.56 | (959) all_0_42_42 = e2 % 31.15/8.56 | % 31.15/8.56 | Combining equations (3175,959) yields a new equation: % 31.15/8.56 | (878) e4 = e2 % 31.15/8.56 | % 31.15/8.56 | Simplifying 878 yields: % 31.15/8.56 | (470) e4 = e2 % 31.15/8.56 | % 31.15/8.56 | Equations (470) can reduce 231 to: % 31.15/8.56 | (303) $false % 31.15/8.56 | % 31.15/8.56 |-The branch is then unsatisfiable % 31.15/8.56 |-Branch two: % 31.15/8.56 | (272) ~ (all_0_42_42 = e2) % 31.15/8.56 | (964) all_0_43_43 = e2 | all_0_44_44 = e2 % 31.15/8.56 | % 31.15/8.56 +-Applying beta-rule and splitting (964), into two cases. % 31.15/8.56 |-Branch one: % 31.15/8.56 | (965) all_0_43_43 = e2 % 31.15/8.56 | % 31.15/8.56 | Combining equations (447,965) yields a new equation: % 31.15/8.56 | (452) e3 = e2 % 31.15/8.56 | % 31.15/8.56 | Simplifying 452 yields: % 31.15/8.56 | (453) e3 = e2 % 31.15/8.56 | % 31.15/8.56 | Equations (453) can reduce 223 to: % 31.15/8.56 | (303) $false % 31.15/8.56 | % 31.15/8.56 |-The branch is then unsatisfiable % 31.15/8.56 |-Branch two: % 31.15/8.56 | (253) ~ (all_0_43_43 = e2) % 31.15/8.56 | (572) all_0_44_44 = e2 % 31.15/8.56 | % 31.15/8.56 | Combining equations (705,572) yields a new equation: % 31.15/8.56 | (585) e2 = e1 % 31.15/8.56 | % 31.15/8.56 | Equations (585) can reduce 144 to: % 31.15/8.56 | (303) $false % 31.15/8.56 | % 31.15/8.56 |-The branch is then unsatisfiable % 31.15/8.56 |-Branch two: % 31.15/8.56 | (592) ~ (all_0_57_57 = e1) % 31.15/8.56 | (3062) all_0_57_57 = e3 | all_0_57_57 = e0 % 31.15/8.56 | % 31.15/8.56 +-Applying beta-rule and splitting (3062), into two cases. % 31.15/8.56 |-Branch one: % 31.15/8.56 | (407) all_0_57_57 = e0 % 31.15/8.56 | % 31.15/8.56 | Equations (407) can reduce 2273 to: % 31.15/8.56 | (303) $false % 31.15/8.56 | % 31.15/8.56 |-The branch is then unsatisfiable % 31.15/8.56 |-Branch two: % 31.15/8.56 | (2273) ~ (all_0_57_57 = e0) % 31.15/8.56 | (1001) all_0_57_57 = e3 % 31.15/8.56 | % 31.15/8.56 | Equations (1001) can reduce 2590 to: % 31.15/8.56 | (303) $false % 31.15/8.56 | % 31.15/8.56 |-The branch is then unsatisfiable % 31.15/8.56 |-Branch two: % 31.15/8.56 | (526) ~ (all_0_56_56 = e3) % 31.15/8.56 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 31.15/8.56 | % 31.15/8.56 +-Applying beta-rule and splitting (1491), into two cases. % 31.15/8.56 |-Branch one: % 31.15/8.56 | (1001) all_0_57_57 = e3 % 31.15/8.56 | % 31.15/8.56 | Equations (1001) can reduce 2590 to: % 31.15/8.56 | (303) $false % 31.15/8.56 | % 31.15/8.56 |-The branch is then unsatisfiable % 31.15/8.56 |-Branch two: % 31.15/8.56 | (2590) ~ (all_0_57_57 = e3) % 31.15/8.56 | (2977) all_0_59_59 = e3 | all_0_60_60 = e3 % 31.15/8.56 | % 31.15/8.56 +-Applying beta-rule and splitting (2977), into two cases. % 31.15/8.56 |-Branch one: % 31.15/8.56 | (456) all_0_59_59 = e3 % 31.15/8.56 | % 31.15/8.56 | Combining equations (717,456) yields a new equation: % 31.15/8.56 | (718) e4 = e3 % 31.15/8.56 | % 31.15/8.56 | Simplifying 718 yields: % 31.15/8.56 | (443) e4 = e3 % 31.15/8.56 | % 31.15/8.56 | Equations (443) can reduce 30 to: % 31.15/8.56 | (303) $false % 31.15/8.56 | % 31.15/8.56 |-The branch is then unsatisfiable % 31.15/8.56 |-Branch two: % 31.15/8.56 | (1031) ~ (all_0_59_59 = e3) % 31.15/8.56 | (1937) all_0_60_60 = e3 % 31.15/8.56 | % 31.15/8.56 | Equations (1937) can reduce 316 to: % 31.15/8.56 | (303) $false % 31.15/8.56 | % 31.15/8.56 |-The branch is then unsatisfiable % 31.15/8.56 |-Branch two: % 31.15/8.56 | (502) ~ (all_0_52_52 = e1) % 31.15/8.56 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 31.15/8.56 | % 31.15/8.56 +-Applying beta-rule and splitting (1073), into two cases. % 31.15/8.56 |-Branch one: % 31.15/8.56 | (462) all_0_53_53 = e1 % 31.15/8.56 | % 31.15/8.56 | Combining equations (462,994) yields a new equation: % 31.15/8.56 | (601) e3 = e1 % 31.15/8.56 | % 31.15/8.56 | Equations (601) can reduce 136 to: % 31.15/8.56 | (303) $false % 31.15/8.56 | % 31.15/8.56 |-The branch is then unsatisfiable % 31.15/8.56 |-Branch two: % 31.15/8.56 | (509) ~ (all_0_53_53 = e1) % 31.15/8.56 | (530) all_0_55_55 = e1 % 31.15/8.56 | % 31.15/8.56 | Combining equations (473,530) yields a new equation: % 31.15/8.56 | (540) e4 = e1 % 31.15/8.56 | % 31.15/8.56 | Simplifying 540 yields: % 31.15/8.56 | (541) e4 = e1 % 31.15/8.56 | % 31.15/8.56 | Equations (541) can reduce 247 to: % 31.15/8.56 | (303) $false % 31.15/8.56 | % 31.15/8.56 |-The branch is then unsatisfiable % 31.15/8.56 |-Branch two: % 31.15/8.56 | (428) ~ (all_0_53_53 = e3) % 31.15/8.56 | (2165) all_0_55_55 = e3 % 31.15/8.56 | % 31.15/8.56 | Combining equations (2165,473) yields a new equation: % 31.15/8.56 | (443) e4 = e3 % 31.15/8.56 | % 31.15/8.56 | Equations (443) can reduce 30 to: % 31.15/8.56 | (303) $false % 31.15/8.56 | % 31.15/8.56 |-The branch is then unsatisfiable % 31.15/8.56 |-Branch two: % 31.15/8.56 | (721) ~ (all_0_48_48 = e4) % 31.15/8.56 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 31.15/8.56 | % 31.15/8.56 +-Applying beta-rule and splitting (212), into two cases. % 31.15/8.56 |-Branch one: % 31.15/8.56 | (727) all_0_48_48 = e2 % 31.15/8.56 | % 31.15/8.56 | Equations (727) can reduce 544 to: % 31.15/8.56 | (303) $false % 31.15/8.56 | % 31.15/8.56 |-The branch is then unsatisfiable % 31.15/8.56 |-Branch two: % 31.15/8.56 | (544) ~ (all_0_48_48 = e2) % 31.15/8.56 | (730) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 31.15/8.56 | % 31.15/8.56 +-Applying beta-rule and splitting (722), into two cases. % 31.15/8.56 |-Branch one: % 31.15/8.56 | (714) all_0_50_50 = e4 % 31.15/8.56 | % 31.15/8.56 | Equations (714) can reduce 238 to: % 31.15/8.56 | (712) ~ (all_0_43_43 = e4) % 31.15/8.56 | % 31.15/8.56 | Equations (714) can reduce 48 to: % 31.15/8.56 | (721) ~ (all_0_48_48 = e4) % 31.15/8.56 | % 31.15/8.56 | Equations (714) can reduce 126 to: % 31.15/8.56 | (347) ~ (all_0_59_59 = e4) % 31.15/8.56 | % 31.15/8.56 | Simplifying 347 yields: % 31.15/8.56 | (348) ~ (all_0_59_59 = e4) % 31.15/8.56 | % 31.15/8.56 | Equations (714) can reduce 15 to: % 31.15/8.56 | (30) ~ (e4 = e3) % 31.15/8.56 | % 31.15/8.56 | Equations (714) can reduce 258 to: % 31.15/8.56 | (231) ~ (e4 = e2) % 31.15/8.56 | % 31.15/8.56 | From (714) and (129) follows: % 31.15/8.56 | (2616) op(e4, e2) = all_0_19_19 % 31.15/8.56 | % 31.15/8.56 +-Applying beta-rule and splitting (730), into two cases. % 31.15/8.56 |-Branch one: % 31.15/8.56 | (609) all_0_48_48 = e4 % 31.15/8.56 | % 31.15/8.56 | Equations (609) can reduce 721 to: % 31.15/8.56 | (303) $false % 31.15/8.56 | % 31.15/8.56 |-The branch is then unsatisfiable % 31.15/8.56 |-Branch two: % 31.15/8.56 | (721) ~ (all_0_48_48 = e4) % 31.15/8.56 | (811) all_0_48_48 = e1 | all_0_48_48 = e0 % 31.15/8.56 | % 31.15/8.56 +-Applying beta-rule and splitting (811), into two cases. % 31.15/8.56 |-Branch one: % 31.15/8.56 | (748) all_0_48_48 = e1 % 31.15/8.56 | % 31.15/8.56 | Equations (748) can reduce 53 to: % 31.15/8.56 | (683) ~ (all_0_40_40 = e1) % 31.15/8.56 | % 31.15/8.56 | Equations (748) can reduce 108 to: % 31.15/8.56 | (1061) ~ (all_0_52_52 = e1) % 31.15/8.56 | % 31.15/8.56 | Simplifying 1061 yields: % 31.15/8.56 | (502) ~ (all_0_52_52 = e1) % 31.15/8.56 | % 31.15/8.56 | From (748) and (187) follows: % 31.15/8.56 | (2611) op(e1, e4) = all_0_16_16 % 31.15/8.56 | % 31.15/8.56 | From (748) and (105) follows: % 31.15/8.56 | (752) op(e2, e4) = e1 % 31.15/8.56 | % 31.15/8.56 | Instantiating formula (29) with e4, e2, all_0_19_19, e4 and discharging atoms op(e4, e2) = all_0_19_19, op(e4, e2) = e4, yields: % 31.15/8.56 | (4204) all_0_19_19 = e4 % 31.15/8.56 | % 31.15/8.56 | Instantiating formula (29) with e1, e4, all_0_16_16, all_0_52_52 and discharging atoms op(e1, e4) = all_0_16_16, op(e1, e4) = all_0_52_52, yields: % 31.15/8.56 | (4205) all_0_16_16 = all_0_52_52 % 31.15/8.56 | % 31.15/8.56 | From (4204) and (2616) follows: % 31.15/8.56 | (3186) op(e4, e2) = e4 % 31.15/8.56 | % 31.15/8.56 | From (4205) and (2611) follows: % 31.15/8.56 | (152) op(e1, e4) = all_0_52_52 % 31.15/8.56 | % 31.15/8.56 +-Applying beta-rule and splitting (64), into two cases. % 31.15/8.56 |-Branch one: % 31.15/8.56 | (425) all_0_52_52 = e3 % 31.15/8.56 | % 31.15/8.56 | Equations (425) can reduce 188 to: % 31.15/8.56 | (432) ~ (all_0_40_40 = e3) % 31.15/8.56 | % 31.15/8.56 | Equations (425) can reduce 77 to: % 31.15/8.56 | (427) ~ (all_0_53_53 = e3) % 31.15/8.56 | % 31.15/8.56 | Simplifying 427 yields: % 31.15/8.56 | (428) ~ (all_0_53_53 = e3) % 31.15/8.56 | % 31.15/8.56 | Equations (425) can reduce 149 to: % 31.15/8.56 | (2285) ~ (all_0_56_56 = e3) % 31.15/8.56 | % 31.15/8.56 | Simplifying 2285 yields: % 31.15/8.56 | (526) ~ (all_0_56_56 = e3) % 31.15/8.56 | % 31.15/8.56 | Equations (425) can reduce 78 to: % 31.15/8.56 | (70) ~ (e3 = e0) % 31.15/8.56 | % 31.15/8.56 | From (425) and (156) follows: % 31.15/8.56 | (3340) op(e3, e1) = all_0_23_23 % 31.15/8.56 | % 31.15/8.56 | From (425) and (152) follows: % 31.15/8.56 | (430) op(e1, e4) = e3 % 31.15/8.56 | % 31.15/8.56 +-Applying beta-rule and splitting (237), into two cases. % 31.15/8.56 |-Branch one: % 31.15/8.56 | (431) all_0_41_41 = e3 % 31.15/8.56 | % 31.15/8.56 | Combining equations (398,431) yields a new equation: % 31.15/8.56 | (497) e3 = e0 % 31.15/8.56 | % 31.15/8.56 | Equations (497) can reduce 70 to: % 31.15/8.56 | (303) $false % 31.15/8.56 | % 31.15/8.56 |-The branch is then unsatisfiable % 31.15/8.56 |-Branch two: % 31.15/8.56 | (996) ~ (all_0_41_41 = e3) % 31.15/8.56 | (997) all_0_53_53 = e3 | all_0_57_57 = e3 % 31.15/8.56 | % 31.15/8.56 | Equations (398) can reduce 996 to: % 31.15/8.56 | (333) ~ (e3 = e0) % 31.15/8.57 | % 31.15/8.57 | Simplifying 333 yields: % 31.15/8.57 | (70) ~ (e3 = e0) % 31.15/8.57 | % 31.15/8.57 +-Applying beta-rule and splitting (6), into two cases. % 31.15/8.57 |-Branch one: % 31.15/8.57 | (442) all_0_52_52 = e4 % 31.15/8.57 | % 31.15/8.57 | Combining equations (425,442) yields a new equation: % 31.15/8.57 | (443) e4 = e3 % 31.15/8.57 | % 31.15/8.57 | Equations (443) can reduce 30 to: % 31.15/8.57 | (303) $false % 31.15/8.57 | % 31.15/8.57 |-The branch is then unsatisfiable % 31.15/8.57 |-Branch two: % 31.15/8.57 | (445) ~ (all_0_52_52 = e4) % 31.15/8.57 | (446) all_0_54_54 = e4 | all_0_55_55 = e4 % 31.15/8.57 | % 31.15/8.57 +-Applying beta-rule and splitting (233), into two cases. % 31.15/8.57 |-Branch one: % 31.15/8.57 | (917) all_0_40_40 = e2 % 31.15/8.57 | % 31.15/8.57 | Equations (917) can reduce 124 to: % 31.15/8.57 | (4230) ~ (all_0_44_44 = e2) % 31.15/8.57 | % 31.15/8.57 | Simplifying 4230 yields: % 31.15/8.57 | (915) ~ (all_0_44_44 = e2) % 31.15/8.57 | % 31.15/8.57 | Equations (917) can reduce 57 to: % 31.15/8.57 | (2174) ~ (all_0_56_56 = e2) % 31.15/8.57 | % 31.15/8.57 | Simplifying 2174 yields: % 31.15/8.57 | (594) ~ (all_0_56_56 = e2) % 31.15/8.57 | % 31.15/8.57 | Equations (917) can reduce 432 to: % 31.15/8.57 | (577) ~ (e3 = e2) % 31.15/8.57 | % 31.15/8.57 | Simplifying 577 yields: % 31.15/8.57 | (223) ~ (e3 = e2) % 31.15/8.57 | % 31.15/8.57 +-Applying beta-rule and splitting (112), into two cases. % 31.15/8.57 |-Branch one: % 31.15/8.57 | (572) all_0_44_44 = e2 % 31.15/8.57 | % 31.15/8.57 | Equations (572) can reduce 915 to: % 31.15/8.57 | (303) $false % 31.15/8.57 | % 31.15/8.57 |-The branch is then unsatisfiable % 31.15/8.57 |-Branch two: % 31.15/8.57 | (915) ~ (all_0_44_44 = e2) % 31.15/8.57 | (916) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 31.15/8.57 | % 31.15/8.57 +-Applying beta-rule and splitting (916), into two cases. % 31.15/8.57 |-Branch one: % 31.15/8.57 | (302) all_0_47_47 = e2 % 31.15/8.57 | % 31.15/8.57 | Combining equations (309,302) yields a new equation: % 31.15/8.57 | (452) e3 = e2 % 31.15/8.57 | % 31.15/8.57 | Simplifying 452 yields: % 31.15/8.57 | (453) e3 = e2 % 31.15/8.57 | % 31.15/8.57 | Equations (453) can reduce 223 to: % 31.15/8.57 | (303) $false % 31.15/8.57 | % 31.15/8.57 |-The branch is then unsatisfiable % 31.15/8.57 |-Branch two: % 31.15/8.57 | (256) ~ (all_0_47_47 = e2) % 31.15/8.57 | (926) all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 31.15/8.57 | % 31.15/8.57 +-Applying beta-rule and splitting (87), into two cases. % 31.15/8.57 |-Branch one: % 31.15/8.57 | (572) all_0_44_44 = e2 % 31.15/8.57 | % 31.15/8.57 | Equations (572) can reduce 915 to: % 31.15/8.57 | (303) $false % 31.15/8.57 | % 31.15/8.57 |-The branch is then unsatisfiable % 31.15/8.57 |-Branch two: % 31.15/8.57 | (915) ~ (all_0_44_44 = e2) % 31.15/8.57 | (2069) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 31.15/8.57 | % 31.15/8.57 +-Applying beta-rule and splitting (2069), into two cases. % 31.15/8.57 |-Branch one: % 31.15/8.57 | (1096) all_0_44_44 = e4 % 31.15/8.57 | % 31.15/8.57 | Equations (1096) can reduce 474 to: % 31.15/8.57 | (303) $false % 31.15/8.57 | % 31.15/8.57 |-The branch is then unsatisfiable % 31.15/8.57 |-Branch two: % 31.15/8.57 | (474) ~ (all_0_44_44 = e4) % 31.15/8.57 | (2073) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 31.15/8.57 | % 31.15/8.57 +-Applying beta-rule and splitting (2073), into two cases. % 31.15/8.57 |-Branch one: % 31.15/8.57 | (705) all_0_44_44 = e1 % 31.15/8.57 | % 31.15/8.57 | Equations (705) can reduce 82 to: % 31.15/8.57 | (622) ~ (all_0_43_43 = e1) % 31.15/8.57 | % 31.15/8.57 | Equations (705) can reduce 59 to: % 31.15/8.57 | (463) ~ (all_0_55_55 = e1) % 31.15/8.57 | % 31.15/8.57 | Simplifying 463 yields: % 31.15/8.57 | (464) ~ (all_0_55_55 = e1) % 31.15/8.57 | % 31.15/8.57 | Equations (705) can reduce 474 to: % 31.15/8.57 | (605) ~ (e4 = e1) % 31.15/8.57 | % 31.15/8.57 | Simplifying 605 yields: % 31.15/8.57 | (247) ~ (e4 = e1) % 31.15/8.57 | % 31.15/8.57 | Equations (705) can reduce 310 to: % 31.15/8.57 | (465) ~ (e3 = e1) % 31.15/8.57 | % 31.15/8.57 | Simplifying 465 yields: % 31.15/8.57 | (136) ~ (e3 = e1) % 31.15/8.57 | % 31.15/8.57 | From (705) and (235) follows: % 31.15/8.57 | (3496) op(e1, e4) = all_0_7_7 % 31.15/8.57 | % 31.15/8.57 | From (705) and (128) follows: % 31.15/8.57 | (4263) op(e1, e0) = all_0_8_8 % 31.15/8.57 | % 31.15/8.57 +-Applying beta-rule and splitting (100), into two cases. % 31.15/8.57 |-Branch one: % 31.15/8.57 | (618) all_0_43_43 = e1 % 31.15/8.57 | % 31.15/8.57 | Equations (618) can reduce 622 to: % 31.15/8.57 | (303) $false % 31.15/8.57 | % 31.15/8.57 |-The branch is then unsatisfiable % 31.15/8.57 |-Branch two: % 31.15/8.57 | (622) ~ (all_0_43_43 = e1) % 31.15/8.57 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 31.15/8.57 | % 31.15/8.57 +-Applying beta-rule and splitting (85), into two cases. % 31.15/8.57 |-Branch one: % 31.15/8.57 | (1070) all_0_52_52 = e1 % 31.15/8.57 | % 31.15/8.57 | Combining equations (425,1070) yields a new equation: % 31.15/8.57 | (680) e3 = e1 % 31.15/8.57 | % 31.15/8.57 | Simplifying 680 yields: % 31.15/8.57 | (601) e3 = e1 % 31.15/8.57 | % 31.15/8.57 | Equations (601) can reduce 136 to: % 31.15/8.57 | (303) $false % 31.15/8.57 | % 31.15/8.57 |-The branch is then unsatisfiable % 31.15/8.57 |-Branch two: % 31.15/8.57 | (502) ~ (all_0_52_52 = e1) % 31.15/8.57 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 31.15/8.57 | % 31.15/8.57 +-Applying beta-rule and splitting (623), into two cases. % 31.15/8.57 |-Branch one: % 31.15/8.57 | (627) all_0_50_50 = e1 % 31.15/8.57 | % 31.15/8.57 | Combining equations (714,627) yields a new equation: % 31.15/8.57 | (540) e4 = e1 % 31.15/8.57 | % 31.15/8.57 | Simplifying 540 yields: % 31.15/8.57 | (541) e4 = e1 % 31.15/8.57 | % 31.15/8.57 | Equations (541) can reduce 247 to: % 31.15/8.57 | (303) $false % 31.15/8.57 | % 31.15/8.57 |-The branch is then unsatisfiable % 31.15/8.57 |-Branch two: % 31.15/8.57 | (678) ~ (all_0_50_50 = e1) % 31.15/8.57 | (600) all_0_59_59 = e1 % 31.15/8.57 | % 31.15/8.57 | Equations (600) can reduce 42 to: % 31.15/8.57 | (587) ~ (all_0_56_56 = e1) % 31.15/8.57 | % 31.15/8.57 | Equations (600) can reduce 222 to: % 31.15/8.57 | (592) ~ (all_0_57_57 = e1) % 31.15/8.57 | % 31.15/8.57 | Equations (600) can reduce 164 to: % 31.15/8.57 | (1050) ~ (all_0_60_60 = e1) % 31.15/8.57 | % 31.15/8.57 | Simplifying 1050 yields: % 31.15/8.57 | (501) ~ (all_0_60_60 = e1) % 31.15/8.57 | % 31.15/8.57 | From (600) and (16) follows: % 31.15/8.57 | (4284) op(e1, e0) = all_0_37_37 % 31.15/8.57 | % 31.15/8.57 +-Applying beta-rule and splitting (137), into two cases. % 31.15/8.57 |-Branch one: % 31.15/8.57 | (447) all_0_43_43 = e3 % 31.15/8.57 | % 31.15/8.57 | Equations (447) can reduce 117 to: % 31.15/8.57 | (70) ~ (e3 = e0) % 31.15/8.57 | % 31.15/8.57 | From (447) and (99) follows: % 31.15/8.57 | (3298) op(e3, e1) = all_0_6_6 % 31.15/8.57 | % 31.15/8.57 +-Applying beta-rule and splitting (153), into two cases. % 31.15/8.57 |-Branch one: % 31.15/8.57 | (932) all_0_55_55 = e2 % 31.15/8.57 | % 31.15/8.57 | Equations (932) can reduce 276 to: % 31.15/8.57 | (303) $false % 31.15/8.57 | % 31.15/8.57 |-The branch is then unsatisfiable % 31.15/8.57 |-Branch two: % 31.15/8.57 | (276) ~ (all_0_55_55 = e2) % 31.15/8.57 | (1809) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 % 31.15/8.57 | % 31.15/8.57 +-Applying beta-rule and splitting (1809), into two cases. % 31.15/8.57 |-Branch one: % 31.15/8.57 | (473) all_0_55_55 = e4 % 31.15/8.57 | % 31.15/8.57 | Equations (473) can reduce 131 to: % 31.15/8.57 | (229) ~ (all_0_53_53 = e4) % 31.15/8.57 | % 31.15/8.57 | Equations (473) can reduce 464 to: % 31.15/8.57 | (247) ~ (e4 = e1) % 31.15/8.57 | % 31.15/8.57 | From (473) and (240) follows: % 31.15/8.57 | (479) op(e1, e0) = e4 % 31.15/8.57 | % 31.15/8.57 +-Applying beta-rule and splitting (1073), into two cases. % 31.15/8.57 |-Branch one: % 31.15/8.57 | (462) all_0_53_53 = e1 % 31.15/8.57 | % 31.15/8.57 | Equations (462) can reduce 229 to: % 31.15/8.57 | (605) ~ (e4 = e1) % 31.15/8.57 | % 31.15/8.57 | Simplifying 605 yields: % 31.15/8.57 | (247) ~ (e4 = e1) % 31.15/8.57 | % 31.15/8.57 | Equations (462) can reduce 428 to: % 31.15/8.57 | (465) ~ (e3 = e1) % 31.15/8.57 | % 31.15/8.57 | Simplifying 465 yields: % 31.15/8.57 | (136) ~ (e3 = e1) % 31.15/8.57 | % 31.15/8.57 | Equations (462) can reduce 140 to: % 31.15/8.57 | (134) ~ (e1 = e0) % 31.15/8.57 | % 31.15/8.57 | From (462) and (242) follows: % 31.15/8.57 | (3366) op(e1, e3) = all_0_26_26 % 31.15/8.57 | % 31.15/8.57 | From (462) and (224) follows: % 31.15/8.57 | (468) op(e1, e3) = e1 % 31.15/8.57 | % 31.15/8.57 +-Applying beta-rule and splitting (61), into two cases. % 31.15/8.57 |-Branch one: % 31.15/8.57 | (580) all_0_56_56 = e2 % 31.15/8.57 | % 31.15/8.57 | Equations (580) can reduce 594 to: % 31.15/8.57 | (303) $false % 31.15/8.57 | % 31.15/8.57 |-The branch is then unsatisfiable % 31.15/8.57 |-Branch two: % 31.15/8.57 | (594) ~ (all_0_56_56 = e2) % 31.15/8.57 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 31.15/8.57 | % 31.15/8.57 +-Applying beta-rule and splitting (243), into two cases. % 31.15/8.57 |-Branch one: % 31.15/8.57 | (877) all_0_56_56 = e4 % 31.15/8.57 | % 31.15/8.57 | Equations (877) can reduce 174 to: % 31.15/8.57 | (349) ~ (all_0_60_60 = e4) % 31.15/8.57 | % 31.15/8.57 | Simplifying 349 yields: % 31.15/8.57 | (350) ~ (all_0_60_60 = e4) % 31.15/8.57 | % 31.15/8.57 | Equations (877) can reduce 587 to: % 31.15/8.57 | (247) ~ (e4 = e1) % 31.15/8.57 | % 31.15/8.57 | From (877) and (132) follows: % 31.15/8.57 | (1195) op(e0, e4) = e4 % 31.15/8.57 | % 31.15/8.57 +-Applying beta-rule and splitting (56), into two cases. % 31.15/8.57 |-Branch one: % 31.15/8.57 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 31.15/8.57 | % 31.15/8.57 +-Applying beta-rule and splitting (480), into two cases. % 31.15/8.57 |-Branch one: % 31.15/8.57 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 31.15/8.57 | % 31.15/8.57 +-Applying beta-rule and splitting (481), into two cases. % 31.15/8.57 |-Branch one: % 31.15/8.57 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 31.15/8.57 | % 31.15/8.57 +-Applying beta-rule and splitting (482), into two cases. % 31.15/8.57 |-Branch one: % 31.15/8.57 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 31.15/8.57 | % 31.15/8.57 | Applying alpha-rule on (483) yields: % 31.15/8.57 | (484) ~ (unit = e4) % 31.15/8.57 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 31.15/8.57 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 31.15/8.57 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 31.15/8.57 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 31.15/8.57 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 31.15/8.57 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 31.15/8.57 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 31.15/8.57 | (492) ~ (all_0_55_55 = e4) % 31.15/8.57 | (493) all_0_45_45 = e3 % 31.15/8.57 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 31.15/8.57 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 31.15/8.57 | % 31.15/8.57 | Combining equations (287,493) yields a new equation: % 31.15/8.57 | (497) e3 = e0 % 31.15/8.57 | % 31.15/8.57 | Equations (497) can reduce 70 to: % 31.15/8.57 | (303) $false % 31.15/8.57 | % 31.15/8.57 |-The branch is then unsatisfiable % 31.15/8.57 |-Branch two: % 31.15/8.57 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 31.15/8.57 | % 31.15/8.57 | Applying alpha-rule on (499) yields: % 31.15/8.57 | (500) ~ (all_0_51_51 = e1) % 31.15/8.57 | (501) ~ (all_0_60_60 = e1) % 31.15/8.58 | (502) ~ (all_0_52_52 = e1) % 31.15/8.58 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 31.15/8.58 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 31.15/8.58 | (252) all_0_46_46 = e2 % 31.15/8.58 | (506) ~ (all_0_49_49 = e1) % 31.15/8.58 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 31.15/8.58 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 31.15/8.58 | (509) ~ (all_0_53_53 = e1) % 31.15/8.58 | (510) ~ (unit = e1) % 31.15/8.58 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 31.15/8.58 | (512) ~ (all_0_44_44 = e1) % 31.15/8.58 | % 31.15/8.58 | Equations (462) can reduce 509 to: % 31.15/8.58 | (303) $false % 31.15/8.58 | % 31.15/8.58 |-The branch is then unsatisfiable % 31.15/8.58 |-Branch two: % 31.15/8.58 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 31.15/8.58 | % 31.15/8.58 | Applying alpha-rule on (514) yields: % 31.15/8.58 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 31.15/8.58 | (516) ~ (all_0_47_47 = e3) % 31.15/8.58 | (314) ~ (all_0_55_55 = e3) % 31.15/8.58 | (368) all_0_49_49 = e2 % 31.15/8.58 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 31.15/8.58 | (520) ~ (unit = e3) % 31.15/8.58 | (521) ~ (all_0_52_52 = e3) % 31.15/8.58 | (455) ~ (all_0_46_46 = e3) % 31.15/8.58 | (432) ~ (all_0_40_40 = e3) % 31.15/8.58 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 31.15/8.58 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 31.15/8.58 | (526) ~ (all_0_56_56 = e3) % 31.15/8.58 | % 31.15/8.58 | Equations (425) can reduce 521 to: % 31.15/8.58 | (303) $false % 31.15/8.58 | % 31.15/8.58 |-The branch is then unsatisfiable % 31.15/8.58 |-Branch two: % 31.15/8.58 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 31.15/8.58 | % 31.15/8.58 | Applying alpha-rule on (528) yields: % 31.15/8.58 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 31.15/8.58 | (530) all_0_55_55 = e1 % 31.15/8.58 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 31.15/8.58 | (387) ~ (all_0_49_49 = e0) % 31.15/8.58 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 31.15/8.58 | (534) ~ (all_0_45_45 = e0) % 31.15/8.58 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 31.15/8.58 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 31.15/8.58 | (537) ~ (unit = e0) % 31.15/8.58 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 31.15/8.58 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 31.15/8.58 | % 31.15/8.58 | Combining equations (473,530) yields a new equation: % 31.15/8.58 | (540) e4 = e1 % 31.15/8.58 | % 31.15/8.58 | Simplifying 540 yields: % 31.15/8.58 | (541) e4 = e1 % 31.15/8.58 | % 31.15/8.58 | Equations (541) can reduce 247 to: % 31.15/8.58 | (303) $false % 31.15/8.58 | % 31.15/8.58 |-The branch is then unsatisfiable % 31.15/8.58 |-Branch two: % 31.15/8.58 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 31.15/8.58 | % 31.15/8.58 | Applying alpha-rule on (543) yields: % 31.15/8.58 | (544) ~ (all_0_48_48 = e2) % 31.15/8.58 | (369) ~ (all_0_41_41 = e2) % 31.15/8.58 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 31.15/8.58 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 31.15/8.58 | (253) ~ (all_0_43_43 = e2) % 31.15/8.58 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 31.15/8.58 | (276) ~ (all_0_55_55 = e2) % 31.15/8.58 | (260) ~ (all_0_59_59 = e2) % 31.15/8.58 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 31.15/8.58 | (274) ~ (all_0_53_53 = e2) % 31.15/8.58 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 31.15/8.58 | (373) ~ (all_0_51_51 = e2) % 31.15/8.58 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 31.15/8.58 | (256) ~ (all_0_47_47 = e2) % 31.15/8.58 | (377) ~ (all_0_57_57 = e2) % 31.15/8.58 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 31.15/8.58 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 31.15/8.58 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 31.15/8.58 | (258) ~ (all_0_50_50 = e2) % 31.15/8.58 | (254) ~ (all_0_45_45 = e2) % 31.15/8.58 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 31.15/8.58 | % 31.15/8.58 +-Applying beta-rule and splitting (220), into two cases. % 31.15/8.58 |-Branch one: % 31.15/8.58 | (913) all_0_60_60 = e2 % 31.15/8.58 | % 31.15/8.58 | Equations (913) can reduce 501 to: % 31.15/8.58 | (144) ~ (e2 = e1) % 31.15/8.58 | % 31.15/8.58 | From (913) and (170) follows: % 31.15/8.58 | (3491) op(e0, e0) = e2 % 31.15/8.58 | % 31.15/8.58 +-Applying beta-rule and splitting (547), into two cases. % 31.15/8.58 |-Branch one: % 31.15/8.58 | (571) ~ (all_0_60_60 = e2) % 31.15/8.58 | % 31.15/8.58 | Equations (913) can reduce 571 to: % 31.15/8.58 | (303) $false % 31.15/8.58 | % 31.15/8.58 |-The branch is then unsatisfiable % 31.15/8.58 |-Branch two: % 31.15/8.58 | (913) all_0_60_60 = e2 % 31.15/8.58 | (988) all_0_58_58 = e0 & ~ (unit = e2) % 31.15/8.58 | % 31.15/8.58 | Applying alpha-rule on (988) yields: % 31.15/8.58 | (989) all_0_58_58 = e0 % 31.15/8.58 | (599) ~ (unit = e2) % 31.15/8.58 | % 31.15/8.58 | Instantiating formula (29) with e3, e1, all_0_6_6, e2 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = e2, yields: % 31.15/8.58 | (3326) all_0_6_6 = e2 % 31.15/8.58 | % 31.15/8.58 | Instantiating formula (29) with e3, e1, all_0_23_23, all_0_6_6 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = all_0_23_23, yields: % 31.15/8.58 | (4407) all_0_6_6 = all_0_23_23 % 31.15/8.58 | % 31.15/8.58 | Instantiating formula (29) with e1, e4, e3, all_0_7_7 and discharging atoms op(e1, e4) = all_0_7_7, op(e1, e4) = e3, yields: % 31.15/8.58 | (3593) all_0_7_7 = e3 % 31.15/8.58 | % 31.15/8.58 | Instantiating formula (29) with e1, e3, e1, all_0_26_26 and discharging atoms op(e1, e3) = all_0_26_26, op(e1, e3) = e1, yields: % 31.15/8.58 | (3585) all_0_26_26 = e1 % 31.15/8.58 | % 31.15/8.58 | Instantiating formula (29) with e1, e0, all_0_37_37, all_0_8_8 and discharging atoms op(e1, e0) = all_0_8_8, op(e1, e0) = all_0_37_37, yields: % 31.15/8.58 | (4410) all_0_8_8 = all_0_37_37 % 31.15/8.58 | % 31.15/8.58 | Instantiating formula (29) with e1, e0, e4, all_0_8_8 and discharging atoms op(e1, e0) = all_0_8_8, op(e1, e0) = e4, yields: % 31.15/8.58 | (3534) all_0_8_8 = e4 % 31.15/8.58 | % 31.15/8.58 | Combining equations (3326,4407) yields a new equation: % 31.15/8.58 | (3591) all_0_23_23 = e2 % 31.15/8.58 | % 31.15/8.58 | Combining equations (4410,3534) yields a new equation: % 31.15/8.58 | (4413) all_0_37_37 = e4 % 31.15/8.58 | % 31.15/8.58 | Simplifying 4413 yields: % 31.15/8.58 | (4414) all_0_37_37 = e4 % 31.15/8.58 | % 31.15/8.58 | From (3591) and (3340) follows: % 31.15/8.58 | (266) op(e3, e1) = e2 % 31.15/8.58 | % 31.15/8.58 | From (3593) and (3496) follows: % 31.15/8.58 | (430) op(e1, e4) = e3 % 31.15/8.58 | % 31.15/8.58 | From (3585) and (3366) follows: % 31.15/8.58 | (468) op(e1, e3) = e1 % 31.15/8.58 | % 31.15/8.58 | From (4414) and (4284) follows: % 31.15/8.58 | (479) op(e1, e0) = e4 % 31.15/8.58 | % 31.15/8.58 +-Applying beta-rule and splitting (62), into two cases. % 31.15/8.58 |-Branch one: % 31.15/8.58 | (631) unit = e2 % 31.15/8.58 | % 31.15/8.58 | Equations (631) can reduce 599 to: % 31.15/8.58 | (303) $false % 31.15/8.58 | % 31.15/8.58 |-The branch is then unsatisfiable % 31.15/8.58 |-Branch two: % 31.15/8.58 | (599) ~ (unit = e2) % 31.15/8.58 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 31.15/8.58 | % 31.15/8.58 +-Applying beta-rule and splitting (634), into two cases. % 31.15/8.58 |-Branch one: % 31.15/8.58 | (635) unit = e4 % 31.15/8.58 | % 31.15/8.58 | From (635) and (147) follows: % 31.15/8.58 | (1176) op(e4, e2) = e2 % 31.15/8.58 | % 31.15/8.58 | From (635) and (74) follows: % 31.15/8.58 | (637) op(e2, e4) = e2 % 31.15/8.58 | % 31.15/8.58 | From (635) and (111) follows: % 31.15/8.58 | (638) op(e0, e4) = e0 % 31.15/8.58 | % 31.15/8.58 | Instantiating formula (29) with e4, e2, e2, e4 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 31.15/8.58 | (470) e4 = e2 % 31.15/8.58 | % 31.15/8.58 | Instantiating formula (29) with e2, e4, e2, e1 and discharging atoms op(e2, e4) = e2, op(e2, e4) = e1, yields: % 31.15/8.58 | (585) e2 = e1 % 31.15/8.58 | % 31.15/8.58 | Instantiating formula (29) with e0, e4, e0, e4 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e0, yields: % 31.15/8.58 | (654) e4 = e0 % 31.15/8.58 | % 31.15/8.58 | Combining equations (470,654) yields a new equation: % 31.15/8.58 | (403) e2 = e0 % 31.15/8.58 | % 31.15/8.58 | Simplifying 403 yields: % 31.15/8.58 | (385) e2 = e0 % 31.15/8.58 | % 31.15/8.58 | Combining equations (385,585) yields a new equation: % 31.15/8.58 | (590) e1 = e0 % 31.15/8.58 | % 31.15/8.58 | Equations (590) can reduce 134 to: % 31.15/8.58 | (303) $false % 31.15/8.58 | % 31.15/8.58 |-The branch is then unsatisfiable % 31.15/8.58 |-Branch two: % 31.15/8.58 | (484) ~ (unit = e4) % 31.15/8.58 | (647) unit = e3 | unit = e1 | unit = e0 % 31.15/8.58 | % 31.15/8.58 +-Applying beta-rule and splitting (647), into two cases. % 31.15/8.58 |-Branch one: % 31.15/8.58 | (648) unit = e1 % 31.15/8.58 | % 31.15/8.58 | From (648) and (17) follows: % 31.15/8.58 | (649) op(e1, e4) = e4 % 31.15/8.58 | % 31.15/8.58 | From (648) and (232) follows: % 31.15/8.58 | (650) op(e1, e3) = e3 % 31.15/8.58 | % 31.15/8.58 | From (648) and (189) follows: % 31.15/8.58 | (651) op(e1, e0) = e0 % 31.15/8.58 | % 31.15/8.58 | From (648) and (98) follows: % 31.15/8.58 | (1862) op(e3, e1) = e3 % 31.15/8.58 | % 31.15/8.58 | Instantiating formula (29) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields: % 31.15/8.58 | (453) e3 = e2 % 31.15/8.58 | % 31.15/8.58 | Instantiating formula (29) with e1, e4, e4, e3 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e3, yields: % 31.15/8.58 | (443) e4 = e3 % 31.15/8.58 | % 31.15/8.58 | Instantiating formula (29) with e1, e3, e3, e1 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 31.15/8.58 | (601) e3 = e1 % 31.15/8.58 | % 31.15/8.58 | Instantiating formula (29) with e1, e0, e0, e4 and discharging atoms op(e1, e0) = e4, op(e1, e0) = e0, yields: % 31.15/8.58 | (654) e4 = e0 % 31.15/8.58 | % 31.15/8.58 | Combining equations (443,654) yields a new equation: % 31.15/8.58 | (496) e3 = e0 % 31.15/8.58 | % 31.15/8.58 | Simplifying 496 yields: % 31.15/8.58 | (497) e3 = e0 % 31.15/8.58 | % 31.15/8.58 | Combining equations (497,453) yields a new equation: % 31.15/8.58 | (385) e2 = e0 % 31.15/8.58 | % 31.15/8.58 | Combining equations (601,453) yields a new equation: % 31.15/8.58 | (585) e2 = e1 % 31.15/8.58 | % 31.15/8.58 | Combining equations (585,385) yields a new equation: % 31.15/8.58 | (670) e1 = e0 % 31.15/8.58 | % 31.15/8.58 | Simplifying 670 yields: % 31.15/8.58 | (590) e1 = e0 % 31.15/8.58 | % 31.15/8.58 | Equations (590) can reduce 134 to: % 31.15/8.59 | (303) $false % 31.15/8.59 | % 31.15/8.59 |-The branch is then unsatisfiable % 31.15/8.59 |-Branch two: % 31.15/8.59 | (510) ~ (unit = e1) % 31.15/8.59 | (659) unit = e3 | unit = e0 % 31.15/8.59 | % 31.15/8.59 +-Applying beta-rule and splitting (659), into two cases. % 31.15/8.59 |-Branch one: % 31.15/8.59 | (660) unit = e0 % 31.15/8.59 | % 31.15/8.59 | Equations (660) can reduce 599 to: % 31.15/8.59 | (335) ~ (e2 = e0) % 31.15/8.59 | % 31.15/8.59 | Simplifying 335 yields: % 31.15/8.59 | (51) ~ (e2 = e0) % 31.15/8.59 | % 31.15/8.59 | From (660) and (111) follows: % 31.15/8.59 | (3633) op(e0, e0) = e0 % 31.15/8.59 | % 31.15/8.59 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 31.15/8.59 | (385) e2 = e0 % 31.15/8.59 | % 31.15/8.59 | Equations (385) can reduce 51 to: % 31.15/8.59 | (303) $false % 31.15/8.59 | % 31.15/8.59 |-The branch is then unsatisfiable % 31.15/8.59 |-Branch two: % 31.15/8.59 | (537) ~ (unit = e0) % 31.15/8.59 | (674) unit = e3 % 31.15/8.59 | % 31.15/8.59 | From (674) and (38) follows: % 31.15/8.59 | (675) op(e3, e1) = e1 % 31.15/8.59 | % 31.15/8.59 | Instantiating formula (29) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 31.15/8.59 | (585) e2 = e1 % 31.15/8.59 | % 31.15/8.59 | Equations (585) can reduce 144 to: % 31.15/8.59 | (303) $false % 31.15/8.59 | % 31.15/8.59 |-The branch is then unsatisfiable % 31.15/8.59 |-Branch two: % 31.15/8.59 | (571) ~ (all_0_60_60 = e2) % 31.15/8.59 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 31.15/8.59 | % 31.15/8.59 +-Applying beta-rule and splitting (1275), into two cases. % 31.15/8.59 |-Branch one: % 31.15/8.59 | (1510) all_0_60_60 = e4 % 31.15/8.59 | % 31.15/8.59 | Equations (1510) can reduce 350 to: % 31.15/8.59 | (303) $false % 31.15/8.59 | % 31.15/8.59 |-The branch is then unsatisfiable % 31.15/8.59 |-Branch two: % 31.15/8.59 | (350) ~ (all_0_60_60 = e4) % 31.15/8.59 | (1906) all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 31.15/8.59 | % 31.15/8.59 +-Applying beta-rule and splitting (1906), into two cases. % 31.15/8.59 |-Branch one: % 31.15/8.59 | (604) all_0_60_60 = e1 % 31.15/8.59 | % 31.15/8.59 | Equations (604) can reduce 501 to: % 31.15/8.59 | (303) $false % 31.15/8.59 | % 31.15/8.59 |-The branch is then unsatisfiable % 31.15/8.59 |-Branch two: % 31.15/8.59 | (501) ~ (all_0_60_60 = e1) % 31.15/8.59 | (1933) all_0_60_60 = e3 | all_0_60_60 = e0 % 31.15/8.59 | % 31.15/8.59 +-Applying beta-rule and splitting (997), into two cases. % 31.15/8.59 |-Branch one: % 31.15/8.59 | (994) all_0_53_53 = e3 % 31.15/8.59 | % 31.15/8.59 | Combining equations (994,462) yields a new equation: % 31.15/8.59 | (680) e3 = e1 % 31.15/8.59 | % 31.15/8.59 | Simplifying 680 yields: % 31.15/8.59 | (601) e3 = e1 % 31.15/8.59 | % 31.15/8.59 | Equations (601) can reduce 136 to: % 31.15/8.59 | (303) $false % 31.15/8.59 | % 31.15/8.59 |-The branch is then unsatisfiable % 31.15/8.59 |-Branch two: % 31.15/8.59 | (428) ~ (all_0_53_53 = e3) % 31.15/8.59 | (1001) all_0_57_57 = e3 % 31.15/8.59 | % 31.15/8.59 | Equations (1001) can reduce 81 to: % 31.15/8.59 | (315) ~ (all_0_60_60 = e3) % 31.15/8.59 | % 31.15/8.59 | Simplifying 315 yields: % 31.15/8.59 | (316) ~ (all_0_60_60 = e3) % 31.15/8.59 | % 31.15/8.59 +-Applying beta-rule and splitting (1933), into two cases. % 31.15/8.59 |-Branch one: % 31.15/8.59 | (1934) all_0_60_60 = e0 % 31.15/8.59 | % 31.15/8.59 | Equations (1934) can reduce 414 to: % 31.15/8.59 | (303) $false % 31.15/8.59 | % 31.15/8.59 |-The branch is then unsatisfiable % 31.15/8.59 |-Branch two: % 31.15/8.59 | (414) ~ (all_0_60_60 = e0) % 31.15/8.59 | (1937) all_0_60_60 = e3 % 31.15/8.59 | % 31.15/8.59 | Equations (1937) can reduce 316 to: % 31.15/8.59 | (303) $false % 31.15/8.59 | % 31.15/8.59 |-The branch is then unsatisfiable % 31.15/8.59 |-Branch two: % 31.15/8.59 | (345) ~ (all_0_56_56 = e4) % 31.15/8.59 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 31.15/8.59 | % 31.15/8.59 +-Applying beta-rule and splitting (56), into two cases. % 31.15/8.59 |-Branch one: % 31.15/8.59 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 31.15/8.59 | % 31.15/8.59 +-Applying beta-rule and splitting (480), into two cases. % 31.15/8.59 |-Branch one: % 31.15/8.59 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 31.15/8.59 | % 31.15/8.59 +-Applying beta-rule and splitting (481), into two cases. % 31.15/8.59 |-Branch one: % 31.15/8.59 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 31.15/8.59 | % 31.15/8.59 +-Applying beta-rule and splitting (482), into two cases. % 31.15/8.59 |-Branch one: % 31.15/8.59 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 31.15/8.59 | % 31.15/8.59 | Applying alpha-rule on (483) yields: % 31.15/8.59 | (484) ~ (unit = e4) % 31.15/8.59 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 31.15/8.59 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 31.15/8.59 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 31.15/8.59 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 31.15/8.59 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 31.15/8.59 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 31.15/8.59 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 31.15/8.59 | (492) ~ (all_0_55_55 = e4) % 31.15/8.59 | (493) all_0_45_45 = e3 % 31.15/8.59 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 31.15/8.59 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 31.15/8.59 | % 31.15/8.59 | Combining equations (287,493) yields a new equation: % 31.15/8.59 | (497) e3 = e0 % 31.15/8.59 | % 31.15/8.59 | Equations (497) can reduce 70 to: % 31.15/8.59 | (303) $false % 31.15/8.59 | % 31.15/8.59 |-The branch is then unsatisfiable % 31.15/8.59 |-Branch two: % 31.15/8.59 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 31.15/8.59 | % 31.15/8.59 | Applying alpha-rule on (499) yields: % 31.15/8.59 | (500) ~ (all_0_51_51 = e1) % 31.15/8.59 | (501) ~ (all_0_60_60 = e1) % 31.15/8.59 | (502) ~ (all_0_52_52 = e1) % 31.15/8.59 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 31.15/8.59 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 31.15/8.59 | (252) all_0_46_46 = e2 % 31.15/8.59 | (506) ~ (all_0_49_49 = e1) % 31.15/8.59 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 31.15/8.59 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 31.15/8.59 | (509) ~ (all_0_53_53 = e1) % 31.15/8.59 | (510) ~ (unit = e1) % 31.15/8.59 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 31.15/8.59 | (512) ~ (all_0_44_44 = e1) % 31.15/8.59 | % 31.15/8.59 | Equations (462) can reduce 509 to: % 31.15/8.59 | (303) $false % 31.15/8.59 | % 31.15/8.59 |-The branch is then unsatisfiable % 31.15/8.59 |-Branch two: % 31.15/8.59 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 31.15/8.59 | % 31.15/8.59 | Applying alpha-rule on (514) yields: % 31.15/8.59 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 31.15/8.59 | (516) ~ (all_0_47_47 = e3) % 31.15/8.59 | (314) ~ (all_0_55_55 = e3) % 31.15/8.59 | (368) all_0_49_49 = e2 % 31.15/8.59 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 31.15/8.59 | (520) ~ (unit = e3) % 31.15/8.59 | (521) ~ (all_0_52_52 = e3) % 31.15/8.59 | (455) ~ (all_0_46_46 = e3) % 31.15/8.59 | (432) ~ (all_0_40_40 = e3) % 31.15/8.59 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 31.15/8.59 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 31.15/8.59 | (526) ~ (all_0_56_56 = e3) % 31.15/8.59 | % 31.15/8.59 | Equations (425) can reduce 521 to: % 31.15/8.59 | (303) $false % 31.15/8.59 | % 31.15/8.59 |-The branch is then unsatisfiable % 31.15/8.59 |-Branch two: % 31.15/8.59 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 31.15/8.59 | % 31.15/8.59 | Applying alpha-rule on (528) yields: % 31.15/8.59 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 31.15/8.59 | (530) all_0_55_55 = e1 % 31.15/8.59 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 31.15/8.59 | (387) ~ (all_0_49_49 = e0) % 31.15/8.59 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 31.15/8.59 | (534) ~ (all_0_45_45 = e0) % 31.15/8.59 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 31.15/8.59 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 31.15/8.59 | (537) ~ (unit = e0) % 31.15/8.59 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 31.15/8.59 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 31.15/8.59 | % 31.15/8.59 | Combining equations (473,530) yields a new equation: % 31.15/8.59 | (540) e4 = e1 % 31.15/8.59 | % 31.15/8.59 | Simplifying 540 yields: % 31.15/8.59 | (541) e4 = e1 % 31.15/8.59 | % 31.15/8.59 | Equations (541) can reduce 247 to: % 31.15/8.59 | (303) $false % 31.15/8.59 | % 31.15/8.59 |-The branch is then unsatisfiable % 31.15/8.59 |-Branch two: % 31.15/8.59 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 31.15/8.59 | % 31.15/8.59 | Applying alpha-rule on (543) yields: % 31.15/8.59 | (544) ~ (all_0_48_48 = e2) % 31.15/8.59 | (369) ~ (all_0_41_41 = e2) % 31.15/8.59 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 31.15/8.59 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 31.15/8.59 | (253) ~ (all_0_43_43 = e2) % 31.15/8.59 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 31.15/8.59 | (276) ~ (all_0_55_55 = e2) % 31.15/8.59 | (260) ~ (all_0_59_59 = e2) % 31.15/8.59 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 31.15/8.60 | (274) ~ (all_0_53_53 = e2) % 31.15/8.60 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 31.15/8.60 | (373) ~ (all_0_51_51 = e2) % 31.15/8.60 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 31.15/8.60 | (256) ~ (all_0_47_47 = e2) % 31.15/8.60 | (377) ~ (all_0_57_57 = e2) % 31.15/8.60 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 31.15/8.60 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 31.15/8.60 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 31.15/8.60 | (258) ~ (all_0_50_50 = e2) % 31.15/8.60 | (254) ~ (all_0_45_45 = e2) % 31.15/8.60 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 31.15/8.60 | % 31.15/8.60 | Equations (388) can reduce 373 to: % 31.15/8.60 | (335) ~ (e2 = e0) % 31.15/8.60 | % 31.15/8.60 | Simplifying 335 yields: % 31.15/8.60 | (51) ~ (e2 = e0) % 31.15/8.60 | % 31.15/8.60 | Equations (600) can reduce 260 to: % 31.15/8.60 | (565) ~ (e2 = e1) % 31.15/8.60 | % 31.15/8.60 | Simplifying 565 yields: % 31.15/8.60 | (144) ~ (e2 = e1) % 31.15/8.60 | % 31.15/8.60 +-Applying beta-rule and splitting (896), into two cases. % 31.15/8.60 |-Branch one: % 31.15/8.60 | (897) all_0_57_57 = e2 % 31.15/8.60 | % 31.15/8.60 | Equations (897) can reduce 377 to: % 31.15/8.60 | (303) $false % 31.15/8.60 | % 31.15/8.60 |-The branch is then unsatisfiable % 31.15/8.60 |-Branch two: % 31.15/8.60 | (377) ~ (all_0_57_57 = e2) % 31.15/8.60 | (902) all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 31.15/8.60 | % 31.15/8.60 +-Applying beta-rule and splitting (220), into two cases. % 31.15/8.60 |-Branch one: % 31.15/8.60 | (913) all_0_60_60 = e2 % 31.15/8.60 | % 31.15/8.60 | Equations (913) can reduce 174 to: % 31.15/8.60 | (594) ~ (all_0_56_56 = e2) % 31.15/8.60 | % 31.15/8.60 +-Applying beta-rule and splitting (141), into two cases. % 31.15/8.60 |-Branch one: % 31.15/8.60 | (580) all_0_56_56 = e2 % 31.15/8.60 | % 31.15/8.60 | Equations (580) can reduce 594 to: % 31.15/8.60 | (303) $false % 31.15/8.60 | % 31.15/8.60 |-The branch is then unsatisfiable % 31.15/8.60 |-Branch two: % 31.15/8.60 | (594) ~ (all_0_56_56 = e2) % 31.15/8.60 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 31.15/8.60 | % 31.15/8.60 +-Applying beta-rule and splitting (209), into two cases. % 31.15/8.60 |-Branch one: % 31.15/8.60 | (1111) all_0_56_56 = e3 % 31.15/8.60 | % 31.15/8.60 | Equations (1111) can reduce 526 to: % 31.15/8.60 | (303) $false % 31.15/8.60 | % 31.15/8.60 |-The branch is then unsatisfiable % 31.15/8.60 |-Branch two: % 31.15/8.60 | (526) ~ (all_0_56_56 = e3) % 31.15/8.60 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 31.15/8.60 | % 31.15/8.60 +-Applying beta-rule and splitting (1491), into two cases. % 31.15/8.60 |-Branch one: % 31.15/8.60 | (1001) all_0_57_57 = e3 % 31.15/8.60 | % 31.15/8.60 | Equations (1001) can reduce 172 to: % 31.15/8.60 | (526) ~ (all_0_56_56 = e3) % 31.15/8.60 | % 31.15/8.60 +-Applying beta-rule and splitting (979), into two cases. % 31.15/8.60 |-Branch one: % 31.15/8.60 | (877) all_0_56_56 = e4 % 31.15/8.60 | % 31.15/8.60 | Equations (877) can reduce 345 to: % 31.15/8.60 | (303) $false % 31.15/8.60 | % 31.15/8.60 |-The branch is then unsatisfiable % 31.15/8.60 |-Branch two: % 31.15/8.60 | (345) ~ (all_0_56_56 = e4) % 31.15/8.60 | (2325) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 31.15/8.60 | % 31.15/8.60 +-Applying beta-rule and splitting (2325), into two cases. % 31.15/8.60 |-Branch one: % 31.15/8.60 | (583) all_0_56_56 = e1 % 31.15/8.60 | % 31.15/8.60 | Equations (583) can reduce 587 to: % 31.15/8.60 | (303) $false % 31.15/8.60 | % 31.15/8.60 |-The branch is then unsatisfiable % 31.15/8.60 |-Branch two: % 31.15/8.60 | (587) ~ (all_0_56_56 = e1) % 31.15/8.60 | (2329) all_0_56_56 = e3 | all_0_56_56 = e0 % 31.15/8.60 | % 31.15/8.60 +-Applying beta-rule and splitting (2329), into two cases. % 31.15/8.60 |-Branch one: % 31.15/8.60 | (2307) all_0_56_56 = e0 % 31.15/8.60 | % 31.15/8.60 | Equations (2307) can reduce 296 to: % 31.15/8.60 | (303) $false % 31.15/8.60 | % 31.15/8.60 |-The branch is then unsatisfiable % 31.15/8.60 |-Branch two: % 31.15/8.60 | (296) ~ (all_0_56_56 = e0) % 31.15/8.60 | (1111) all_0_56_56 = e3 % 31.15/8.60 | % 31.15/8.60 | Equations (1111) can reduce 526 to: % 31.15/8.60 | (303) $false % 31.15/8.60 | % 31.15/8.60 |-The branch is then unsatisfiable % 31.15/8.60 |-Branch two: % 31.15/8.60 | (2590) ~ (all_0_57_57 = e3) % 31.15/8.60 | (2977) all_0_59_59 = e3 | all_0_60_60 = e3 % 31.15/8.60 | % 31.15/8.60 +-Applying beta-rule and splitting (997), into two cases. % 31.15/8.60 |-Branch one: % 31.15/8.60 | (994) all_0_53_53 = e3 % 31.15/8.60 | % 31.15/8.60 | Combining equations (994,462) yields a new equation: % 31.15/8.60 | (680) e3 = e1 % 31.15/8.60 | % 31.15/8.60 | Simplifying 680 yields: % 31.15/8.60 | (601) e3 = e1 % 31.15/8.60 | % 31.15/8.60 | Equations (601) can reduce 136 to: % 31.15/8.60 | (303) $false % 31.15/8.60 | % 31.15/8.60 |-The branch is then unsatisfiable % 31.15/8.60 |-Branch two: % 31.15/8.60 | (428) ~ (all_0_53_53 = e3) % 31.15/8.60 | (1001) all_0_57_57 = e3 % 31.15/8.60 | % 31.15/8.60 | Equations (1001) can reduce 2590 to: % 31.15/8.60 | (303) $false % 31.15/8.60 | % 31.15/8.60 |-The branch is then unsatisfiable % 31.15/8.60 |-Branch two: % 31.15/8.60 | (571) ~ (all_0_60_60 = e2) % 31.15/8.60 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 31.15/8.60 | % 31.15/8.60 +-Applying beta-rule and splitting (902), into two cases. % 31.15/8.60 |-Branch one: % 31.15/8.60 | (340) all_0_58_58 = e2 % 31.15/8.60 | % 31.15/8.60 | Combining equations (989,340) yields a new equation: % 31.15/8.60 | (385) e2 = e0 % 31.15/8.60 | % 31.15/8.60 | Equations (385) can reduce 51 to: % 31.15/8.60 | (303) $false % 31.15/8.60 | % 31.15/8.60 |-The branch is then unsatisfiable % 31.15/8.60 |-Branch two: % 31.15/8.60 | (278) ~ (all_0_58_58 = e2) % 31.15/8.60 | (908) all_0_59_59 = e2 | all_0_60_60 = e2 % 31.15/8.60 | % 31.15/8.60 +-Applying beta-rule and splitting (908), into two cases. % 31.15/8.60 |-Branch one: % 31.15/8.60 | (909) all_0_59_59 = e2 % 31.15/8.60 | % 31.15/8.60 | Combining equations (909,600) yields a new equation: % 31.15/8.60 | (584) e2 = e1 % 31.15/8.60 | % 31.15/8.60 | Simplifying 584 yields: % 31.15/8.60 | (585) e2 = e1 % 31.15/8.60 | % 31.15/8.60 | Equations (585) can reduce 144 to: % 31.15/8.60 | (303) $false % 31.15/8.60 | % 31.15/8.60 |-The branch is then unsatisfiable % 31.15/8.60 |-Branch two: % 31.15/8.60 | (260) ~ (all_0_59_59 = e2) % 31.15/8.60 | (913) all_0_60_60 = e2 % 31.15/8.60 | % 31.15/8.60 | Equations (913) can reduce 571 to: % 31.15/8.60 | (303) $false % 31.15/8.60 | % 31.15/8.60 |-The branch is then unsatisfiable % 31.15/8.60 |-Branch two: % 31.15/8.60 | (509) ~ (all_0_53_53 = e1) % 31.15/8.60 | (530) all_0_55_55 = e1 % 31.15/8.60 | % 31.15/8.60 | Combining equations (473,530) yields a new equation: % 31.15/8.60 | (540) e4 = e1 % 31.15/8.60 | % 31.15/8.60 | Simplifying 540 yields: % 31.15/8.60 | (541) e4 = e1 % 31.15/8.60 | % 31.15/8.60 | Equations (541) can reduce 247 to: % 31.15/8.60 | (303) $false % 31.15/8.60 | % 31.15/8.60 |-The branch is then unsatisfiable % 31.15/8.60 |-Branch two: % 31.15/8.60 | (492) ~ (all_0_55_55 = e4) % 31.15/8.60 | (4636) all_0_55_55 = e3 | all_0_55_55 = e1 % 31.15/8.60 | % 31.15/8.60 +-Applying beta-rule and splitting (56), into two cases. % 31.15/8.60 |-Branch one: % 31.15/8.60 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 31.15/8.60 | % 31.15/8.60 +-Applying beta-rule and splitting (480), into two cases. % 31.15/8.60 |-Branch one: % 31.15/8.60 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 31.15/8.60 | % 31.15/8.60 +-Applying beta-rule and splitting (481), into two cases. % 31.15/8.60 |-Branch one: % 31.15/8.60 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 31.15/8.60 | % 31.15/8.60 +-Applying beta-rule and splitting (482), into two cases. % 31.15/8.60 |-Branch one: % 31.15/8.60 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 31.15/8.60 | % 31.15/8.60 | Applying alpha-rule on (483) yields: % 31.15/8.60 | (484) ~ (unit = e4) % 31.15/8.60 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 31.15/8.60 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 31.15/8.60 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 31.15/8.60 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 31.15/8.60 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 31.15/8.60 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 31.15/8.60 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 31.15/8.60 | (492) ~ (all_0_55_55 = e4) % 31.15/8.60 | (493) all_0_45_45 = e3 % 31.15/8.60 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 31.15/8.60 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 31.15/8.60 | % 31.15/8.60 | Combining equations (287,493) yields a new equation: % 31.15/8.60 | (497) e3 = e0 % 31.15/8.60 | % 31.15/8.60 | Equations (497) can reduce 70 to: % 31.15/8.60 | (303) $false % 31.15/8.60 | % 31.15/8.60 |-The branch is then unsatisfiable % 31.15/8.60 |-Branch two: % 31.15/8.60 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 31.15/8.60 | % 31.15/8.60 | Applying alpha-rule on (499) yields: % 31.15/8.60 | (500) ~ (all_0_51_51 = e1) % 31.15/8.60 | (501) ~ (all_0_60_60 = e1) % 31.15/8.60 | (502) ~ (all_0_52_52 = e1) % 31.15/8.60 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 31.15/8.60 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 31.15/8.60 | (252) all_0_46_46 = e2 % 31.15/8.60 | (506) ~ (all_0_49_49 = e1) % 31.15/8.60 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 31.15/8.60 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 31.15/8.60 | (509) ~ (all_0_53_53 = e1) % 31.15/8.60 | (510) ~ (unit = e1) % 31.15/8.60 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 31.15/8.60 | (512) ~ (all_0_44_44 = e1) % 31.15/8.60 | % 31.15/8.60 | Equations (705) can reduce 512 to: % 31.15/8.60 | (303) $false % 31.15/8.60 | % 31.15/8.60 |-The branch is then unsatisfiable % 31.15/8.60 |-Branch two: % 31.15/8.60 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 31.15/8.60 | % 31.15/8.60 | Applying alpha-rule on (514) yields: % 31.15/8.60 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 31.15/8.60 | (516) ~ (all_0_47_47 = e3) % 31.15/8.60 | (314) ~ (all_0_55_55 = e3) % 31.15/8.60 | (368) all_0_49_49 = e2 % 31.15/8.60 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 31.15/8.60 | (520) ~ (unit = e3) % 31.15/8.60 | (521) ~ (all_0_52_52 = e3) % 31.15/8.60 | (455) ~ (all_0_46_46 = e3) % 31.15/8.60 | (432) ~ (all_0_40_40 = e3) % 31.15/8.60 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 31.15/8.60 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 31.15/8.60 | (526) ~ (all_0_56_56 = e3) % 31.15/8.60 | % 31.15/8.60 | Equations (425) can reduce 521 to: % 31.15/8.60 | (303) $false % 31.15/8.60 | % 31.15/8.60 |-The branch is then unsatisfiable % 31.15/8.60 |-Branch two: % 31.15/8.60 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 31.15/8.61 | % 31.15/8.61 | Applying alpha-rule on (528) yields: % 31.15/8.61 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 31.15/8.61 | (530) all_0_55_55 = e1 % 31.15/8.61 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 31.15/8.61 | (387) ~ (all_0_49_49 = e0) % 31.15/8.61 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 31.15/8.61 | (534) ~ (all_0_45_45 = e0) % 31.15/8.61 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 31.15/8.61 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 31.15/8.61 | (537) ~ (unit = e0) % 31.15/8.61 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 31.15/8.61 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 31.15/8.61 | % 31.15/8.61 | Equations (530) can reduce 464 to: % 31.15/8.61 | (303) $false % 31.15/8.61 | % 31.15/8.61 |-The branch is then unsatisfiable % 31.15/8.61 |-Branch two: % 31.15/8.61 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 31.15/8.61 | % 31.15/8.61 | Applying alpha-rule on (543) yields: % 31.15/8.61 | (544) ~ (all_0_48_48 = e2) % 31.15/8.61 | (369) ~ (all_0_41_41 = e2) % 31.15/8.61 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 31.15/8.61 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 31.15/8.61 | (253) ~ (all_0_43_43 = e2) % 31.15/8.61 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 31.15/8.61 | (276) ~ (all_0_55_55 = e2) % 31.15/8.61 | (260) ~ (all_0_59_59 = e2) % 31.15/8.61 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 31.15/8.61 | (274) ~ (all_0_53_53 = e2) % 31.15/8.61 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 31.15/8.61 | (373) ~ (all_0_51_51 = e2) % 31.15/8.61 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 31.15/8.61 | (256) ~ (all_0_47_47 = e2) % 31.15/8.61 | (377) ~ (all_0_57_57 = e2) % 31.15/8.61 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 31.15/8.61 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 31.15/8.61 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 31.15/8.61 | (258) ~ (all_0_50_50 = e2) % 31.15/8.61 | (254) ~ (all_0_45_45 = e2) % 31.15/8.61 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 31.15/8.61 | % 31.15/8.61 | Equations (714) can reduce 258 to: % 31.15/8.61 | (231) ~ (e4 = e2) % 31.15/8.61 | % 31.15/8.61 +-Applying beta-rule and splitting (196), into two cases. % 31.15/8.61 |-Branch one: % 31.15/8.61 | (723) all_0_40_40 = e4 % 31.15/8.61 | % 31.15/8.61 | Combining equations (723,917) yields a new equation: % 31.15/8.61 | (878) e4 = e2 % 31.15/8.61 | % 31.15/8.61 | Simplifying 878 yields: % 31.15/8.61 | (470) e4 = e2 % 31.15/8.61 | % 31.15/8.61 | Equations (470) can reduce 231 to: % 31.15/8.61 | (303) $false % 31.15/8.61 | % 31.15/8.61 |-The branch is then unsatisfiable % 31.15/8.61 |-Branch two: % 31.15/8.61 | (844) ~ (all_0_40_40 = e4) % 31.15/8.61 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 31.15/8.61 | % 31.15/8.61 | Equations (917) can reduce 844 to: % 31.15/8.61 | (261) ~ (e4 = e2) % 31.15/8.61 | % 31.15/8.61 | Simplifying 261 yields: % 31.15/8.61 | (231) ~ (e4 = e2) % 31.15/8.61 | % 31.15/8.61 +-Applying beta-rule and splitting (446), into two cases. % 31.15/8.61 |-Branch one: % 31.15/8.61 | (469) all_0_54_54 = e4 % 31.15/8.61 | % 31.15/8.61 | Combining equations (271,469) yields a new equation: % 31.15/8.61 | (470) e4 = e2 % 31.15/8.61 | % 31.15/8.61 | Equations (470) can reduce 231 to: % 31.15/8.61 | (303) $false % 31.15/8.61 | % 31.15/8.61 |-The branch is then unsatisfiable % 31.15/8.61 |-Branch two: % 31.15/8.61 | (472) ~ (all_0_54_54 = e4) % 31.15/8.61 | (473) all_0_55_55 = e4 % 31.15/8.61 | % 31.15/8.61 | Equations (473) can reduce 492 to: % 31.15/8.61 | (303) $false % 31.15/8.61 | % 31.15/8.61 |-The branch is then unsatisfiable % 31.15/8.61 |-Branch two: % 31.15/8.61 | (434) ~ (all_0_43_43 = e3) % 31.15/8.61 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 31.15/8.61 | % 31.15/8.61 +-Applying beta-rule and splitting (250), into two cases. % 31.15/8.61 |-Branch one: % 31.15/8.61 | (897) all_0_57_57 = e2 % 31.15/8.61 | % 31.15/8.61 | Equations (897) can reduce 377 to: % 31.15/8.61 | (303) $false % 31.15/8.61 | % 31.15/8.61 |-The branch is then unsatisfiable % 31.15/8.61 |-Branch two: % 31.15/8.61 | (377) ~ (all_0_57_57 = e2) % 31.15/8.61 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 31.15/8.61 | % 31.15/8.61 +-Applying beta-rule and splitting (2652), into two cases. % 31.15/8.61 |-Branch one: % 31.15/8.61 | (589) all_0_57_57 = e1 % 31.15/8.61 | % 31.15/8.61 | Equations (589) can reduce 592 to: % 31.15/8.61 | (303) $false % 31.15/8.61 | % 31.15/8.61 |-The branch is then unsatisfiable % 31.15/8.61 |-Branch two: % 31.15/8.61 | (592) ~ (all_0_57_57 = e1) % 31.15/8.61 | (3062) all_0_57_57 = e3 | all_0_57_57 = e0 % 31.15/8.61 | % 31.15/8.61 +-Applying beta-rule and splitting (56), into two cases. % 31.15/8.61 |-Branch one: % 31.15/8.61 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 31.15/8.61 | % 31.15/8.61 +-Applying beta-rule and splitting (480), into two cases. % 31.15/8.61 |-Branch one: % 31.15/8.61 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 31.15/8.61 | % 31.15/8.61 +-Applying beta-rule and splitting (481), into two cases. % 31.15/8.61 |-Branch one: % 31.15/8.61 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 31.41/8.61 | % 31.41/8.61 +-Applying beta-rule and splitting (482), into two cases. % 31.41/8.61 |-Branch one: % 31.41/8.61 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 31.41/8.61 | % 31.41/8.61 | Applying alpha-rule on (483) yields: % 31.41/8.61 | (484) ~ (unit = e4) % 31.41/8.61 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 31.41/8.61 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 31.41/8.61 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 31.41/8.61 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 31.41/8.61 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 31.41/8.61 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 31.41/8.61 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 31.41/8.61 | (492) ~ (all_0_55_55 = e4) % 31.41/8.61 | (493) all_0_45_45 = e3 % 31.41/8.61 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 31.41/8.61 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 31.41/8.61 | % 31.41/8.61 | Combining equations (287,493) yields a new equation: % 31.41/8.61 | (497) e3 = e0 % 31.41/8.61 | % 31.41/8.61 | Equations (497) can reduce 70 to: % 31.41/8.61 | (303) $false % 31.41/8.61 | % 31.41/8.61 |-The branch is then unsatisfiable % 31.41/8.61 |-Branch two: % 31.41/8.61 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 31.41/8.61 | % 31.41/8.61 | Applying alpha-rule on (499) yields: % 31.41/8.61 | (500) ~ (all_0_51_51 = e1) % 31.41/8.61 | (501) ~ (all_0_60_60 = e1) % 31.41/8.61 | (502) ~ (all_0_52_52 = e1) % 31.41/8.61 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 31.41/8.61 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 31.41/8.61 | (252) all_0_46_46 = e2 % 31.41/8.61 | (506) ~ (all_0_49_49 = e1) % 31.41/8.61 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 31.41/8.61 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 31.41/8.61 | (509) ~ (all_0_53_53 = e1) % 31.41/8.61 | (510) ~ (unit = e1) % 31.41/8.61 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 31.41/8.61 | (512) ~ (all_0_44_44 = e1) % 31.41/8.61 | % 31.41/8.61 | Equations (705) can reduce 512 to: % 31.41/8.61 | (303) $false % 31.41/8.61 | % 31.41/8.61 |-The branch is then unsatisfiable % 31.41/8.61 |-Branch two: % 31.41/8.61 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 31.41/8.61 | % 31.41/8.61 | Applying alpha-rule on (514) yields: % 31.41/8.61 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 31.41/8.61 | (516) ~ (all_0_47_47 = e3) % 31.41/8.61 | (314) ~ (all_0_55_55 = e3) % 31.41/8.61 | (368) all_0_49_49 = e2 % 31.41/8.61 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 31.41/8.61 | (520) ~ (unit = e3) % 31.41/8.61 | (521) ~ (all_0_52_52 = e3) % 31.41/8.61 | (455) ~ (all_0_46_46 = e3) % 31.41/8.61 | (432) ~ (all_0_40_40 = e3) % 31.41/8.61 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 31.41/8.61 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 31.41/8.61 | (526) ~ (all_0_56_56 = e3) % 31.41/8.61 | % 31.41/8.61 | Equations (425) can reduce 521 to: % 31.41/8.61 | (303) $false % 31.41/8.61 | % 31.41/8.61 |-The branch is then unsatisfiable % 31.41/8.61 |-Branch two: % 31.41/8.61 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 31.41/8.61 | % 31.41/8.61 | Applying alpha-rule on (528) yields: % 31.41/8.61 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 31.41/8.61 | (530) all_0_55_55 = e1 % 31.41/8.61 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 31.41/8.61 | (387) ~ (all_0_49_49 = e0) % 31.41/8.61 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 31.41/8.61 | (534) ~ (all_0_45_45 = e0) % 31.41/8.61 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 31.41/8.61 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 31.41/8.61 | (537) ~ (unit = e0) % 31.41/8.61 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 31.41/8.61 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 31.41/8.61 | % 31.41/8.61 | Equations (530) can reduce 464 to: % 31.41/8.61 | (303) $false % 31.41/8.61 | % 31.41/8.61 |-The branch is then unsatisfiable % 31.41/8.61 |-Branch two: % 31.41/8.61 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 31.41/8.62 | % 31.41/8.62 | Applying alpha-rule on (543) yields: % 31.41/8.62 | (544) ~ (all_0_48_48 = e2) % 31.41/8.62 | (369) ~ (all_0_41_41 = e2) % 31.41/8.62 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 31.41/8.62 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 31.41/8.62 | (253) ~ (all_0_43_43 = e2) % 31.41/8.62 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 31.41/8.62 | (276) ~ (all_0_55_55 = e2) % 31.41/8.62 | (260) ~ (all_0_59_59 = e2) % 31.41/8.62 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 31.41/8.62 | (274) ~ (all_0_53_53 = e2) % 31.41/8.62 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 31.41/8.62 | (373) ~ (all_0_51_51 = e2) % 31.41/8.62 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 31.41/8.62 | (256) ~ (all_0_47_47 = e2) % 31.41/8.62 | (377) ~ (all_0_57_57 = e2) % 31.41/8.62 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 31.41/8.62 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 31.41/8.62 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 31.41/8.62 | (258) ~ (all_0_50_50 = e2) % 31.41/8.62 | (254) ~ (all_0_45_45 = e2) % 31.41/8.62 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 31.41/8.62 | % 31.41/8.62 | Equations (388) can reduce 373 to: % 31.41/8.62 | (335) ~ (e2 = e0) % 31.41/8.62 | % 31.41/8.62 | Simplifying 335 yields: % 31.41/8.62 | (51) ~ (e2 = e0) % 31.41/8.62 | % 31.41/8.62 +-Applying beta-rule and splitting (926), into two cases. % 31.41/8.62 |-Branch one: % 31.41/8.62 | (927) all_0_51_51 = e2 % 31.41/8.62 | % 31.41/8.62 | Combining equations (388,927) yields a new equation: % 31.41/8.62 | (385) e2 = e0 % 31.41/8.62 | % 31.41/8.62 | Equations (385) can reduce 51 to: % 31.41/8.62 | (303) $false % 31.41/8.62 | % 31.41/8.62 |-The branch is then unsatisfiable % 31.41/8.62 |-Branch two: % 31.41/8.62 | (373) ~ (all_0_51_51 = e2) % 31.41/8.62 | (931) all_0_55_55 = e2 | all_0_60_60 = e2 % 31.41/8.62 | % 31.41/8.62 +-Applying beta-rule and splitting (3062), into two cases. % 31.41/8.62 |-Branch one: % 31.41/8.62 | (407) all_0_57_57 = e0 % 31.41/8.62 | % 31.41/8.62 | Equations (407) can reduce 2273 to: % 31.41/8.62 | (303) $false % 31.41/8.62 | % 31.41/8.62 |-The branch is then unsatisfiable % 31.41/8.62 |-Branch two: % 31.41/8.62 | (2273) ~ (all_0_57_57 = e0) % 31.41/8.62 | (1001) all_0_57_57 = e3 % 31.41/8.62 | % 31.41/8.62 | Equations (1001) can reduce 251 to: % 31.41/8.62 | (428) ~ (all_0_53_53 = e3) % 31.41/8.62 | % 31.41/8.62 | Equations (1001) can reduce 81 to: % 31.41/8.62 | (315) ~ (all_0_60_60 = e3) % 31.41/8.62 | % 31.41/8.62 | Simplifying 315 yields: % 31.41/8.62 | (316) ~ (all_0_60_60 = e3) % 31.41/8.62 | % 31.41/8.62 +-Applying beta-rule and splitting (931), into two cases. % 31.41/8.62 |-Branch one: % 31.41/8.62 | (932) all_0_55_55 = e2 % 31.41/8.62 | % 31.41/8.62 | Equations (932) can reduce 276 to: % 31.41/8.62 | (303) $false % 31.41/8.62 | % 31.41/8.62 |-The branch is then unsatisfiable % 31.41/8.62 |-Branch two: % 31.41/8.62 | (276) ~ (all_0_55_55 = e2) % 31.41/8.62 | (913) all_0_60_60 = e2 % 31.41/8.62 | % 31.41/8.62 | Equations (913) can reduce 316 to: % 31.41/8.62 | (577) ~ (e3 = e2) % 31.41/8.62 | % 31.41/8.62 | Simplifying 577 yields: % 31.41/8.62 | (223) ~ (e3 = e2) % 31.41/8.62 | % 31.41/8.62 +-Applying beta-rule and splitting (1073), into two cases. % 31.41/8.62 |-Branch one: % 31.41/8.62 | (462) all_0_53_53 = e1 % 31.41/8.62 | % 31.41/8.62 | Equations (462) can reduce 428 to: % 31.41/8.62 | (465) ~ (e3 = e1) % 31.41/8.62 | % 31.41/8.62 | Simplifying 465 yields: % 31.41/8.62 | (136) ~ (e3 = e1) % 31.41/8.62 | % 31.41/8.62 +-Applying beta-rule and splitting (450), into two cases. % 31.41/8.62 |-Branch one: % 31.41/8.62 | (451) all_0_46_46 = e3 % 31.41/8.62 | % 31.41/8.62 | Combining equations (252,451) yields a new equation: % 31.41/8.62 | (453) e3 = e2 % 31.41/8.62 | % 31.41/8.62 | Equations (453) can reduce 223 to: % 31.41/8.62 | (303) $false % 31.41/8.62 | % 31.41/8.62 |-The branch is then unsatisfiable % 31.41/8.62 |-Branch two: % 31.41/8.62 | (455) ~ (all_0_46_46 = e3) % 31.41/8.62 | (456) all_0_59_59 = e3 % 31.41/8.62 | % 31.41/8.62 | Combining equations (600,456) yields a new equation: % 31.41/8.62 | (601) e3 = e1 % 31.41/8.62 | % 31.41/8.62 | Equations (601) can reduce 136 to: % 31.41/8.62 | (303) $false % 31.41/8.62 | % 31.41/8.62 |-The branch is then unsatisfiable % 31.41/8.62 |-Branch two: % 31.41/8.62 | (509) ~ (all_0_53_53 = e1) % 31.41/8.62 | (530) all_0_55_55 = e1 % 31.41/8.62 | % 31.41/8.62 | Equations (530) can reduce 464 to: % 31.41/8.62 | (303) $false % 31.41/8.62 | % 31.41/8.62 |-The branch is then unsatisfiable % 31.41/8.62 |-Branch two: % 31.41/8.62 | (512) ~ (all_0_44_44 = e1) % 31.41/8.62 | (2077) all_0_44_44 = e3 | all_0_44_44 = e0 % 31.41/8.62 | % 31.41/8.62 +-Applying beta-rule and splitting (2077), into two cases. % 31.41/8.62 |-Branch one: % 31.41/8.62 | (2078) all_0_44_44 = e0 % 31.41/8.62 | % 31.41/8.62 | Equations (2078) can reduce 330 to: % 31.41/8.62 | (303) $false % 31.41/8.62 | % 31.41/8.62 |-The branch is then unsatisfiable % 31.41/8.62 |-Branch two: % 31.41/8.62 | (330) ~ (all_0_44_44 = e0) % 31.41/8.62 | (2081) all_0_44_44 = e3 % 31.41/8.62 | % 31.41/8.62 | Equations (2081) can reduce 310 to: % 31.41/8.62 | (303) $false % 31.41/8.62 | % 31.41/8.62 |-The branch is then unsatisfiable % 31.41/8.62 |-Branch two: % 31.41/8.62 | (939) ~ (all_0_40_40 = e2) % 31.41/8.62 | (2671) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 31.41/8.62 | % 31.41/8.62 +-Applying beta-rule and splitting (2671), into two cases. % 31.41/8.62 |-Branch one: % 31.41/8.62 | (723) all_0_40_40 = e4 % 31.41/8.62 | % 31.41/8.62 | Equations (723) can reduce 844 to: % 31.41/8.62 | (303) $false % 31.41/8.62 | % 31.41/8.62 |-The branch is then unsatisfiable % 31.41/8.62 |-Branch two: % 31.41/8.62 | (844) ~ (all_0_40_40 = e4) % 31.41/8.62 | (2800) all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 31.41/8.62 | % 31.41/8.62 +-Applying beta-rule and splitting (2800), into two cases. % 31.41/8.62 |-Branch one: % 31.41/8.62 | (624) all_0_40_40 = e1 % 31.41/8.62 | % 31.41/8.62 | Equations (624) can reduce 683 to: % 31.41/8.62 | (303) $false % 31.41/8.62 | % 31.41/8.62 |-The branch is then unsatisfiable % 31.41/8.62 |-Branch two: % 31.41/8.62 | (683) ~ (all_0_40_40 = e1) % 31.41/8.62 | (2833) all_0_40_40 = e3 | all_0_40_40 = e0 % 31.41/8.62 | % 31.41/8.62 +-Applying beta-rule and splitting (2833), into two cases. % 31.41/8.62 |-Branch one: % 31.41/8.62 | (2834) all_0_40_40 = e0 % 31.41/8.62 | % 31.41/8.62 | Equations (2834) can reduce 288 to: % 31.41/8.62 | (303) $false % 31.41/8.62 | % 31.41/8.62 |-The branch is then unsatisfiable % 31.41/8.62 |-Branch two: % 31.41/8.62 | (288) ~ (all_0_40_40 = e0) % 31.41/8.62 | (1102) all_0_40_40 = e3 % 31.41/8.62 | % 31.41/8.62 | Equations (1102) can reduce 432 to: % 31.41/8.62 | (303) $false % 31.41/8.62 | % 31.41/8.62 |-The branch is then unsatisfiable % 31.41/8.62 |-Branch two: % 31.41/8.62 | (521) ~ (all_0_52_52 = e3) % 31.41/8.62 | (1006) all_0_53_53 = e3 | all_0_55_55 = e3 % 31.41/8.62 | % 31.41/8.62 +-Applying beta-rule and splitting (1006), into two cases. % 31.41/8.62 |-Branch one: % 31.41/8.62 | (994) all_0_53_53 = e3 % 31.41/8.62 | % 31.41/8.62 | Equations (994) can reduce 77 to: % 31.41/8.62 | (521) ~ (all_0_52_52 = e3) % 31.41/8.62 | % 31.41/8.62 | Equations (994) can reduce 251 to: % 31.41/8.62 | (2589) ~ (all_0_57_57 = e3) % 31.41/8.62 | % 31.41/8.62 | Simplifying 2589 yields: % 31.41/8.62 | (2590) ~ (all_0_57_57 = e3) % 31.41/8.62 | % 31.41/8.62 | Equations (994) can reduce 274 to: % 31.41/8.62 | (223) ~ (e3 = e2) % 31.41/8.62 | % 31.41/8.62 | Equations (994) can reduce 140 to: % 31.41/8.62 | (70) ~ (e3 = e0) % 31.41/8.62 | % 31.41/8.62 | From (994) and (242) follows: % 31.41/8.62 | (2592) op(e3, e3) = all_0_26_26 % 31.41/8.62 | % 31.41/8.62 | From (994) and (224) follows: % 31.41/8.62 | (650) op(e1, e3) = e3 % 31.41/8.62 | % 31.41/8.62 +-Applying beta-rule and splitting (250), into two cases. % 31.41/8.62 |-Branch one: % 31.41/8.62 | (897) all_0_57_57 = e2 % 31.41/8.62 | % 31.41/8.62 | Equations (897) can reduce 377 to: % 31.41/8.62 | (303) $false % 31.41/8.62 | % 31.41/8.62 |-The branch is then unsatisfiable % 31.41/8.62 |-Branch two: % 31.41/8.62 | (377) ~ (all_0_57_57 = e2) % 31.41/8.62 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 31.41/8.62 | % 31.41/8.62 +-Applying beta-rule and splitting (2652), into two cases. % 31.41/8.62 |-Branch one: % 31.41/8.62 | (589) all_0_57_57 = e1 % 31.41/8.62 | % 31.41/8.62 | Equations (589) can reduce 222 to: % 31.41/8.62 | (3274) ~ (all_0_59_59 = e1) % 31.41/8.62 | % 31.41/8.62 | Simplifying 3274 yields: % 31.41/8.62 | (603) ~ (all_0_59_59 = e1) % 31.41/8.62 | % 31.41/8.62 | Equations (589) can reduce 202 to: % 31.41/8.62 | (605) ~ (e4 = e1) % 31.41/8.62 | % 31.41/8.62 | Simplifying 605 yields: % 31.41/8.62 | (247) ~ (e4 = e1) % 31.41/8.62 | % 31.41/8.62 | Equations (589) can reduce 2590 to: % 31.41/8.62 | (465) ~ (e3 = e1) % 31.41/8.62 | % 31.41/8.62 | Simplifying 465 yields: % 31.41/8.62 | (136) ~ (e3 = e1) % 31.41/8.62 | % 31.41/8.62 | From (589) and (35) follows: % 31.41/8.62 | (3953) op(e1, e3) = all_0_34_34 % 31.41/8.62 | % 31.41/8.62 +-Applying beta-rule and splitting (100), into two cases. % 31.41/8.62 |-Branch one: % 31.41/8.62 | (618) all_0_43_43 = e1 % 31.41/8.62 | % 31.41/8.62 | Equations (618) can reduce 249 to: % 31.41/8.62 | (3274) ~ (all_0_59_59 = e1) % 31.41/8.62 | % 31.41/8.62 | Simplifying 3274 yields: % 31.41/8.62 | (603) ~ (all_0_59_59 = e1) % 31.41/8.62 | % 31.41/8.62 | Equations (618) can reduce 712 to: % 31.41/8.62 | (605) ~ (e4 = e1) % 31.41/8.62 | % 31.41/8.62 | Simplifying 605 yields: % 31.41/8.62 | (247) ~ (e4 = e1) % 31.41/8.62 | % 31.41/8.62 | Equations (618) can reduce 253 to: % 31.41/8.62 | (565) ~ (e2 = e1) % 31.41/8.62 | % 31.41/8.62 | Simplifying 565 yields: % 31.41/8.62 | (144) ~ (e2 = e1) % 31.41/8.62 | % 31.41/8.62 | From (618) and (89) follows: % 31.41/8.62 | (4910) op(e1, e4) = all_0_5_5 % 31.41/8.62 | % 31.41/8.62 +-Applying beta-rule and splitting (137), into two cases. % 31.41/8.62 |-Branch one: % 31.41/8.62 | (447) all_0_43_43 = e3 % 31.41/8.62 | % 31.41/8.62 | Combining equations (618,447) yields a new equation: % 31.41/8.62 | (601) e3 = e1 % 31.41/8.62 | % 31.41/8.62 | Equations (601) can reduce 136 to: % 31.41/8.62 | (303) $false % 31.41/8.62 | % 31.41/8.62 |-The branch is then unsatisfiable % 31.41/8.62 |-Branch two: % 31.41/8.62 | (434) ~ (all_0_43_43 = e3) % 31.41/8.62 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 31.41/8.62 | % 31.41/8.62 | Equations (618) can reduce 434 to: % 31.41/8.62 | (465) ~ (e3 = e1) % 31.41/8.62 | % 31.41/8.62 | Simplifying 465 yields: % 31.41/8.62 | (136) ~ (e3 = e1) % 31.41/8.62 | % 31.41/8.62 +-Applying beta-rule and splitting (85), into two cases. % 31.41/8.62 |-Branch one: % 31.41/8.62 | (1070) all_0_52_52 = e1 % 31.41/8.62 | % 31.41/8.62 | Equations (1070) can reduce 502 to: % 31.41/8.62 | (303) $false % 31.41/8.62 | % 31.41/8.62 |-The branch is then unsatisfiable % 31.41/8.62 |-Branch two: % 31.41/8.62 | (502) ~ (all_0_52_52 = e1) % 31.41/8.62 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 31.41/8.62 | % 31.41/8.62 +-Applying beta-rule and splitting (87), into two cases. % 31.41/8.62 |-Branch one: % 31.41/8.62 | (572) all_0_44_44 = e2 % 31.41/8.62 | % 31.41/8.62 | Equations (572) can reduce 165 to: % 31.41/8.62 | (573) ~ (all_0_60_60 = e2) % 31.41/8.62 | % 31.41/8.62 | Simplifying 573 yields: % 31.41/8.62 | (571) ~ (all_0_60_60 = e2) % 31.41/8.62 | % 31.41/8.62 | Equations (572) can reduce 474 to: % 31.41/8.62 | (261) ~ (e4 = e2) % 31.41/8.62 | % 31.41/8.62 | Simplifying 261 yields: % 31.41/8.62 | (231) ~ (e4 = e2) % 31.41/8.62 | % 31.41/8.62 | Equations (572) can reduce 330 to: % 31.41/8.62 | (51) ~ (e2 = e0) % 31.41/8.62 | % 31.41/8.62 +-Applying beta-rule and splitting (56), into two cases. % 31.41/8.62 |-Branch one: % 31.41/8.62 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 31.41/8.63 | % 31.41/8.63 +-Applying beta-rule and splitting (480), into two cases. % 31.41/8.63 |-Branch one: % 31.41/8.63 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 31.41/8.63 | % 31.41/8.63 +-Applying beta-rule and splitting (481), into two cases. % 31.41/8.63 |-Branch one: % 31.41/8.63 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 31.41/8.63 | % 31.41/8.63 +-Applying beta-rule and splitting (482), into two cases. % 31.41/8.63 |-Branch one: % 31.41/8.63 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 31.41/8.63 | % 31.41/8.63 | Applying alpha-rule on (483) yields: % 31.41/8.63 | (484) ~ (unit = e4) % 31.41/8.63 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 31.41/8.63 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 31.41/8.63 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 31.41/8.63 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 31.41/8.63 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 31.41/8.63 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 31.41/8.63 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 31.41/8.63 | (492) ~ (all_0_55_55 = e4) % 31.41/8.63 | (493) all_0_45_45 = e3 % 31.41/8.63 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 31.41/8.63 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 31.41/8.63 | % 31.41/8.63 | Combining equations (287,493) yields a new equation: % 31.41/8.63 | (497) e3 = e0 % 31.41/8.63 | % 31.41/8.63 | Equations (497) can reduce 70 to: % 31.41/8.63 | (303) $false % 31.41/8.63 | % 31.41/8.63 |-The branch is then unsatisfiable % 31.41/8.63 |-Branch two: % 31.41/8.63 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 31.41/8.63 | % 31.41/8.63 | Applying alpha-rule on (499) yields: % 31.41/8.63 | (500) ~ (all_0_51_51 = e1) % 31.41/8.63 | (501) ~ (all_0_60_60 = e1) % 31.41/8.63 | (502) ~ (all_0_52_52 = e1) % 31.41/8.63 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 31.41/8.63 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 31.41/8.63 | (252) all_0_46_46 = e2 % 31.41/8.63 | (506) ~ (all_0_49_49 = e1) % 31.41/8.63 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 31.41/8.63 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 31.41/8.63 | (509) ~ (all_0_53_53 = e1) % 31.41/8.63 | (510) ~ (unit = e1) % 31.41/8.63 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 31.41/8.63 | (512) ~ (all_0_44_44 = e1) % 31.41/8.63 | % 31.41/8.63 | Equations (368) can reduce 506 to: % 31.41/8.63 | (144) ~ (e2 = e1) % 31.41/8.63 | % 31.41/8.63 +-Applying beta-rule and splitting (503), into two cases. % 31.41/8.63 |-Branch one: % 31.41/8.63 | (592) ~ (all_0_57_57 = e1) % 31.41/8.63 | % 31.41/8.63 | Equations (589) can reduce 592 to: % 31.41/8.63 | (303) $false % 31.41/8.63 | % 31.41/8.63 |-The branch is then unsatisfiable % 31.41/8.63 |-Branch two: % 31.41/8.63 | (589) all_0_57_57 = e1 % 31.41/8.63 | (456) all_0_59_59 = e3 % 31.41/8.63 | % 31.41/8.63 | Equations (456) can reduce 42 to: % 31.41/8.63 | (526) ~ (all_0_56_56 = e3) % 31.41/8.63 | % 31.41/8.63 | Equations (456) can reduce 260 to: % 31.41/8.63 | (223) ~ (e3 = e2) % 31.41/8.63 | % 31.41/8.63 | Equations (456) can reduce 603 to: % 31.41/8.63 | (136) ~ (e3 = e1) % 31.41/8.63 | % 31.41/8.63 | Equations (456) can reduce 216 to: % 31.41/8.63 | (70) ~ (e3 = e0) % 31.41/8.63 | % 31.41/8.63 +-Applying beta-rule and splitting (61), into two cases. % 31.41/8.63 |-Branch one: % 31.41/8.63 | (580) all_0_56_56 = e2 % 31.41/8.63 | % 31.41/8.63 | Equations (580) can reduce 526 to: % 31.41/8.63 | (577) ~ (e3 = e2) % 31.41/8.63 | % 31.41/8.63 | Simplifying 577 yields: % 31.41/8.63 | (223) ~ (e3 = e2) % 31.41/8.63 | % 31.41/8.63 | From (580) and (132) follows: % 31.41/8.63 | (582) op(e0, e4) = e2 % 31.41/8.63 | % 31.41/8.63 +-Applying beta-rule and splitting (243), into two cases. % 31.41/8.63 |-Branch one: % 31.41/8.63 | (877) all_0_56_56 = e4 % 31.41/8.63 | % 31.41/8.63 | Combining equations (580,877) yields a new equation: % 31.41/8.63 | (470) e4 = e2 % 31.41/8.63 | % 31.41/8.63 | Equations (470) can reduce 231 to: % 31.41/8.63 | (303) $false % 31.41/8.63 | % 31.41/8.63 |-The branch is then unsatisfiable % 31.41/8.63 |-Branch two: % 31.41/8.63 | (345) ~ (all_0_56_56 = e4) % 31.41/8.63 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 31.41/8.63 | % 31.41/8.63 | Equations (580) can reduce 345 to: % 31.41/8.63 | (261) ~ (e4 = e2) % 31.41/8.63 | % 31.41/8.63 | Simplifying 261 yields: % 31.41/8.63 | (231) ~ (e4 = e2) % 31.41/8.63 | % 31.41/8.63 +-Applying beta-rule and splitting (1073), into two cases. % 31.41/8.63 |-Branch one: % 31.41/8.63 | (462) all_0_53_53 = e1 % 31.41/8.63 | % 31.41/8.63 | Combining equations (994,462) yields a new equation: % 31.41/8.63 | (680) e3 = e1 % 31.41/8.63 | % 31.41/8.63 | Simplifying 680 yields: % 31.41/8.63 | (601) e3 = e1 % 31.41/8.63 | % 31.41/8.63 | Equations (601) can reduce 136 to: % 31.41/8.63 | (303) $false % 31.41/8.63 | % 31.41/8.63 |-The branch is then unsatisfiable % 31.41/8.63 |-Branch two: % 31.41/8.63 | (509) ~ (all_0_53_53 = e1) % 31.41/8.63 | (530) all_0_55_55 = e1 % 31.41/8.63 | % 31.41/8.63 | Equations (530) can reduce 93 to: % 31.41/8.63 | (134) ~ (e1 = e0) % 31.41/8.63 | % 31.41/8.63 +-Applying beta-rule and splitting (6), into two cases. % 31.41/8.63 |-Branch one: % 31.41/8.63 | (442) all_0_52_52 = e4 % 31.41/8.63 | % 31.41/8.63 | Equations (442) can reduce 188 to: % 31.41/8.63 | (844) ~ (all_0_40_40 = e4) % 31.41/8.63 | % 31.41/8.63 | Equations (442) can reduce 521 to: % 31.41/8.63 | (30) ~ (e4 = e3) % 31.41/8.63 | % 31.41/8.63 | Equations (442) can reduce 78 to: % 31.41/8.63 | (4) ~ (e4 = e0) % 31.41/8.63 | % 31.41/8.63 | From (442) and (152) follows: % 31.41/8.63 | (649) op(e1, e4) = e4 % 31.41/8.63 | % 31.41/8.63 +-Applying beta-rule and splitting (4489), into two cases. % 31.41/8.63 |-Branch one: % 31.41/8.63 | (344) all_0_58_58 = e4 % 31.41/8.63 | % 31.41/8.63 | Combining equations (989,344) yields a new equation: % 31.41/8.63 | (654) e4 = e0 % 31.41/8.63 | % 31.41/8.63 | Equations (654) can reduce 4 to: % 31.41/8.63 | (303) $false % 31.41/8.63 | % 31.41/8.63 |-The branch is then unsatisfiable % 31.41/8.63 |-Branch two: % 31.41/8.63 | (3161) ~ (all_0_58_58 = e4) % 31.41/8.63 | (4996) all_0_59_59 = e4 | all_0_60_60 = e4 % 31.41/8.63 | % 31.41/8.63 +-Applying beta-rule and splitting (145), into two cases. % 31.41/8.63 |-Branch one: % 31.41/8.63 | (1102) all_0_40_40 = e3 % 31.41/8.63 | % 31.41/8.63 | Equations (1102) can reduce 844 to: % 31.41/8.63 | (439) ~ (e4 = e3) % 31.41/8.63 | % 31.41/8.63 | Simplifying 439 yields: % 31.41/8.63 | (30) ~ (e4 = e3) % 31.41/8.63 | % 31.41/8.63 +-Applying beta-rule and splitting (4996), into two cases. % 31.41/8.63 |-Branch one: % 31.41/8.63 | (717) all_0_59_59 = e4 % 31.41/8.63 | % 31.41/8.63 | Combining equations (717,456) yields a new equation: % 31.41/8.63 | (718) e4 = e3 % 31.41/8.63 | % 31.41/8.63 | Simplifying 718 yields: % 31.41/8.63 | (443) e4 = e3 % 31.41/8.63 | % 31.41/8.63 | Equations (443) can reduce 30 to: % 31.41/8.63 | (303) $false % 31.41/8.63 | % 31.41/8.63 |-The branch is then unsatisfiable % 31.41/8.63 |-Branch two: % 31.41/8.63 | (348) ~ (all_0_59_59 = e4) % 31.41/8.63 | (1510) all_0_60_60 = e4 % 31.41/8.63 | % 31.41/8.63 | From (1510) and (170) follows: % 31.41/8.63 | (5006) op(e0, e0) = e4 % 31.41/8.63 | % 31.41/8.63 | Instantiating formula (29) with e3, e3, all_0_26_26, e4 and discharging atoms op(e3, e3) = all_0_26_26, op(e3, e3) = e4, yields: % 31.41/8.63 | (2620) all_0_26_26 = e4 % 31.41/8.63 | % 31.41/8.63 | Instantiating formula (29) with e1, e4, e4, all_0_5_5 and discharging atoms op(e1, e4) = all_0_5_5, op(e1, e4) = e4, yields: % 31.41/8.63 | (5008) all_0_5_5 = e4 % 31.41/8.63 | % 31.41/8.63 | Instantiating formula (29) with e1, e3, e3, all_0_34_34 and discharging atoms op(e1, e3) = all_0_34_34, op(e1, e3) = e3, yields: % 31.41/8.63 | (3957) all_0_34_34 = e3 % 31.41/8.63 | % 31.41/8.63 | From (2620) and (2592) follows: % 31.41/8.63 | (22) op(e3, e3) = e4 % 31.41/8.63 | % 31.41/8.63 | From (5008) and (4910) follows: % 31.41/8.63 | (649) op(e1, e4) = e4 % 31.41/8.63 | % 31.41/8.63 | From (3957) and (3953) follows: % 31.41/8.63 | (650) op(e1, e3) = e3 % 31.41/8.63 | % 31.41/8.63 +-Applying beta-rule and splitting (62), into two cases. % 31.41/8.63 |-Branch one: % 31.41/8.63 | (631) unit = e2 % 31.41/8.63 | % 31.41/8.63 | Equations (631) can reduce 510 to: % 31.41/8.63 | (144) ~ (e2 = e1) % 31.41/8.63 | % 31.41/8.63 | From (631) and (98) follows: % 31.41/8.63 | (5015) op(e3, e2) = e3 % 31.41/8.63 | % 31.41/8.63 | From (631) and (74) follows: % 31.41/8.63 | (2715) op(e2, e2) = e2 % 31.41/8.63 | % 31.41/8.63 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 31.41/8.63 | (601) e3 = e1 % 31.41/8.63 | % 31.41/8.63 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 31.41/8.63 | (453) e3 = e2 % 31.41/8.63 | % 31.41/8.63 | Combining equations (453,601) yields a new equation: % 31.41/8.63 | (584) e2 = e1 % 31.41/8.63 | % 31.41/8.63 | Simplifying 584 yields: % 31.41/8.63 | (585) e2 = e1 % 31.41/8.63 | % 31.41/8.63 | Equations (585) can reduce 144 to: % 31.41/8.63 | (303) $false % 31.41/8.63 | % 31.41/8.63 |-The branch is then unsatisfiable % 31.41/8.63 |-Branch two: % 31.41/8.63 | (599) ~ (unit = e2) % 31.41/8.63 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 31.41/8.63 | % 31.41/8.63 +-Applying beta-rule and splitting (634), into two cases. % 31.41/8.63 |-Branch one: % 31.41/8.63 | (635) unit = e4 % 31.41/8.63 | % 31.41/8.63 | From (635) and (147) follows: % 31.41/8.63 | (1176) op(e4, e2) = e2 % 31.41/8.63 | % 31.41/8.63 | From (635) and (190) follows: % 31.41/8.63 | (1178) op(e1, e4) = e1 % 31.41/8.63 | % 31.41/8.63 | From (635) and (111) follows: % 31.41/8.63 | (638) op(e0, e4) = e0 % 31.41/8.63 | % 31.41/8.63 | Instantiating formula (29) with e4, e2, e2, e4 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 31.41/8.63 | (470) e4 = e2 % 31.41/8.63 | % 31.41/8.63 | Instantiating formula (29) with e1, e4, e1, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields: % 31.41/8.63 | (541) e4 = e1 % 31.41/8.63 | % 31.41/8.63 | Instantiating formula (29) with e0, e4, e0, e2 and discharging atoms op(e0, e4) = e2, op(e0, e4) = e0, yields: % 31.41/8.63 | (385) e2 = e0 % 31.41/8.63 | % 31.41/8.63 | Combining equations (470,541) yields a new equation: % 31.41/8.63 | (584) e2 = e1 % 31.41/8.63 | % 31.41/8.63 | Simplifying 584 yields: % 31.41/8.63 | (585) e2 = e1 % 31.41/8.63 | % 31.41/8.63 | Combining equations (385,585) yields a new equation: % 31.41/8.63 | (590) e1 = e0 % 31.41/8.63 | % 31.41/8.63 | Equations (590) can reduce 134 to: % 31.41/8.64 | (303) $false % 31.41/8.64 | % 31.41/8.64 |-The branch is then unsatisfiable % 31.41/8.64 |-Branch two: % 31.41/8.64 | (484) ~ (unit = e4) % 31.41/8.64 | (647) unit = e3 | unit = e1 | unit = e0 % 31.41/8.64 | % 31.41/8.64 +-Applying beta-rule and splitting (647), into two cases. % 31.41/8.64 |-Branch one: % 31.41/8.64 | (648) unit = e1 % 31.41/8.64 | % 31.41/8.64 | Equations (648) can reduce 510 to: % 31.41/8.64 | (303) $false % 31.41/8.64 | % 31.41/8.64 |-The branch is then unsatisfiable % 31.41/8.64 |-Branch two: % 31.41/8.64 | (510) ~ (unit = e1) % 31.41/8.64 | (659) unit = e3 | unit = e0 % 31.41/8.64 | % 31.41/8.64 +-Applying beta-rule and splitting (659), into two cases. % 31.41/8.64 |-Branch one: % 31.41/8.64 | (660) unit = e0 % 31.41/8.64 | % 31.41/8.64 | Equations (660) can reduce 599 to: % 31.41/8.64 | (335) ~ (e2 = e0) % 31.41/8.64 | % 31.41/8.64 | Simplifying 335 yields: % 31.41/8.64 | (51) ~ (e2 = e0) % 31.41/8.64 | % 31.41/8.64 | From (660) and (17) follows: % 31.41/8.64 | (1195) op(e0, e4) = e4 % 31.41/8.64 | % 31.41/8.64 | From (660) and (111) follows: % 31.41/8.64 | (3633) op(e0, e0) = e0 % 31.41/8.64 | % 31.41/8.64 | Instantiating formula (29) with e0, e4, e4, e2 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e2, yields: % 31.41/8.64 | (470) e4 = e2 % 31.41/8.64 | % 31.41/8.64 | Instantiating formula (29) with e0, e0, e0, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields: % 31.41/8.64 | (654) e4 = e0 % 31.41/8.64 | % 31.41/8.64 | Combining equations (470,654) yields a new equation: % 31.41/8.64 | (403) e2 = e0 % 31.41/8.64 | % 31.41/8.64 | Simplifying 403 yields: % 31.41/8.64 | (385) e2 = e0 % 31.41/8.64 | % 31.41/8.64 | Equations (385) can reduce 51 to: % 31.41/8.64 | (303) $false % 31.41/8.64 | % 31.41/8.64 |-The branch is then unsatisfiable % 31.41/8.64 |-Branch two: % 31.41/8.64 | (537) ~ (unit = e0) % 31.41/8.64 | (674) unit = e3 % 31.41/8.64 | % 31.41/8.64 | From (674) and (17) follows: % 31.41/8.64 | (1207) op(e3, e4) = e4 % 31.41/8.64 | % 31.41/8.64 | From (674) and (98) follows: % 31.41/8.64 | (1208) op(e3, e3) = e3 % 31.41/8.64 | % 31.41/8.64 | From (674) and (190) follows: % 31.41/8.64 | (468) op(e1, e3) = e1 % 31.41/8.64 | % 31.41/8.64 | Instantiating formula (29) with e3, e4, e4, e0 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e0, yields: % 31.41/8.64 | (654) e4 = e0 % 31.41/8.64 | % 31.41/8.64 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 31.41/8.64 | (443) e4 = e3 % 31.41/8.64 | % 31.41/8.64 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 31.41/8.64 | (601) e3 = e1 % 31.41/8.64 | % 31.41/8.64 | Combining equations (654,443) yields a new equation: % 31.41/8.64 | (497) e3 = e0 % 31.41/8.64 | % 31.41/8.64 | Combining equations (601,497) yields a new equation: % 31.41/8.64 | (670) e1 = e0 % 31.41/8.64 | % 31.41/8.64 | Simplifying 670 yields: % 31.41/8.64 | (590) e1 = e0 % 31.41/8.64 | % 31.41/8.64 | Equations (590) can reduce 134 to: % 31.41/8.64 | (303) $false % 31.41/8.64 | % 31.41/8.64 |-The branch is then unsatisfiable % 31.41/8.64 |-Branch two: % 31.41/8.64 | (432) ~ (all_0_40_40 = e3) % 31.41/8.64 | (1105) all_0_45_45 = e3 | all_0_52_52 = e3 | all_0_56_56 = e3 % 31.41/8.64 | % 31.41/8.64 +-Applying beta-rule and splitting (1105), into two cases. % 31.41/8.64 |-Branch one: % 31.41/8.64 | (493) all_0_45_45 = e3 % 31.41/8.64 | % 31.41/8.64 | Combining equations (287,493) yields a new equation: % 31.41/8.64 | (497) e3 = e0 % 31.41/8.64 | % 31.41/8.64 | Equations (497) can reduce 70 to: % 31.41/8.64 | (303) $false % 31.41/8.64 | % 31.41/8.64 |-The branch is then unsatisfiable % 31.41/8.64 |-Branch two: % 31.41/8.64 | (1109) ~ (all_0_45_45 = e3) % 31.41/8.64 | (1110) all_0_52_52 = e3 | all_0_56_56 = e3 % 31.41/8.64 | % 31.41/8.64 +-Applying beta-rule and splitting (1110), into two cases. % 31.41/8.64 |-Branch one: % 31.41/8.64 | (425) all_0_52_52 = e3 % 31.41/8.64 | % 31.41/8.64 | Combining equations (425,442) yields a new equation: % 31.41/8.64 | (443) e4 = e3 % 31.41/8.64 | % 31.41/8.64 | Equations (443) can reduce 30 to: % 31.41/8.64 | (303) $false % 31.41/8.64 | % 31.41/8.64 |-The branch is then unsatisfiable % 31.41/8.64 |-Branch two: % 31.41/8.64 | (521) ~ (all_0_52_52 = e3) % 31.41/8.64 | (1111) all_0_56_56 = e3 % 31.41/8.64 | % 31.41/8.64 | Combining equations (580,1111) yields a new equation: % 31.41/8.64 | (453) e3 = e2 % 31.41/8.64 | % 31.41/8.64 | Equations (453) can reduce 223 to: % 31.41/8.64 | (303) $false % 31.41/8.64 | % 31.41/8.64 |-The branch is then unsatisfiable % 31.41/8.64 |-Branch two: % 31.41/8.64 | (445) ~ (all_0_52_52 = e4) % 31.41/8.64 | (446) all_0_54_54 = e4 | all_0_55_55 = e4 % 31.41/8.64 | % 31.41/8.64 +-Applying beta-rule and splitting (446), into two cases. % 31.41/8.64 |-Branch one: % 31.41/8.64 | (469) all_0_54_54 = e4 % 31.41/8.64 | % 31.41/8.64 | Combining equations (469,271) yields a new equation: % 31.41/8.64 | (878) e4 = e2 % 31.41/8.64 | % 31.41/8.64 | Simplifying 878 yields: % 31.41/8.64 | (470) e4 = e2 % 31.41/8.64 | % 31.41/8.64 | Equations (470) can reduce 231 to: % 31.41/8.64 | (303) $false % 31.41/8.64 | % 31.41/8.64 |-The branch is then unsatisfiable % 31.41/8.64 |-Branch two: % 31.41/8.64 | (472) ~ (all_0_54_54 = e4) % 31.41/8.64 | (473) all_0_55_55 = e4 % 31.41/8.64 | % 31.41/8.64 | Combining equations (530,473) yields a new equation: % 31.41/8.64 | (541) e4 = e1 % 31.41/8.64 | % 31.41/8.64 | Equations (541) can reduce 247 to: % 31.41/8.64 | (303) $false % 31.41/8.64 | % 31.41/8.64 |-The branch is then unsatisfiable % 31.41/8.64 |-Branch two: % 31.41/8.64 | (594) ~ (all_0_56_56 = e2) % 31.41/8.64 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 31.41/8.64 | % 31.41/8.64 +-Applying beta-rule and splitting (896), into two cases. % 31.41/8.64 |-Branch one: % 31.41/8.64 | (897) all_0_57_57 = e2 % 31.41/8.64 | % 31.41/8.64 | Combining equations (589,897) yields a new equation: % 31.41/8.64 | (585) e2 = e1 % 31.41/8.64 | % 31.41/8.64 | Equations (585) can reduce 144 to: % 31.41/8.64 | (303) $false % 31.41/8.64 | % 31.41/8.64 |-The branch is then unsatisfiable % 31.41/8.64 |-Branch two: % 31.41/8.64 | (377) ~ (all_0_57_57 = e2) % 31.41/8.64 | (902) all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 31.41/8.64 | % 31.41/8.64 +-Applying beta-rule and splitting (902), into two cases. % 31.41/8.64 |-Branch one: % 31.41/8.64 | (340) all_0_58_58 = e2 % 31.41/8.64 | % 31.41/8.64 | Combining equations (340,989) yields a new equation: % 31.41/8.64 | (403) e2 = e0 % 31.41/8.64 | % 31.41/8.64 | Simplifying 403 yields: % 31.41/8.64 | (385) e2 = e0 % 31.41/8.64 | % 31.41/8.64 | Equations (385) can reduce 51 to: % 31.41/8.64 | (303) $false % 31.41/8.64 | % 31.41/8.64 |-The branch is then unsatisfiable % 31.41/8.64 |-Branch two: % 31.41/8.64 | (278) ~ (all_0_58_58 = e2) % 31.41/8.64 | (908) all_0_59_59 = e2 | all_0_60_60 = e2 % 31.41/8.64 | % 31.41/8.64 +-Applying beta-rule and splitting (908), into two cases. % 31.41/8.64 |-Branch one: % 31.41/8.64 | (909) all_0_59_59 = e2 % 31.41/8.64 | % 31.41/8.64 | Combining equations (909,456) yields a new equation: % 31.41/8.64 | (453) e3 = e2 % 31.41/8.64 | % 31.41/8.64 | Equations (453) can reduce 223 to: % 31.41/8.64 | (303) $false % 31.41/8.64 | % 31.41/8.64 |-The branch is then unsatisfiable % 31.41/8.64 |-Branch two: % 31.41/8.64 | (260) ~ (all_0_59_59 = e2) % 31.41/8.64 | (913) all_0_60_60 = e2 % 31.41/8.64 | % 31.41/8.64 | Equations (913) can reduce 571 to: % 31.41/8.64 | (303) $false % 31.41/8.64 | % 31.41/8.64 |-The branch is then unsatisfiable % 31.41/8.64 |-Branch two: % 31.41/8.64 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 31.41/8.64 | % 31.41/8.64 | Applying alpha-rule on (514) yields: % 31.41/8.64 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 31.41/8.64 | (516) ~ (all_0_47_47 = e3) % 31.41/8.64 | (314) ~ (all_0_55_55 = e3) % 31.41/8.64 | (368) all_0_49_49 = e2 % 31.41/8.64 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 31.41/8.64 | (520) ~ (unit = e3) % 31.41/8.64 | (521) ~ (all_0_52_52 = e3) % 31.41/8.64 | (455) ~ (all_0_46_46 = e3) % 31.41/8.64 | (432) ~ (all_0_40_40 = e3) % 31.41/8.64 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 31.41/8.64 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 31.41/8.64 | (526) ~ (all_0_56_56 = e3) % 31.41/8.64 | % 31.41/8.64 | Equations (309) can reduce 516 to: % 31.41/8.64 | (303) $false % 31.41/8.64 | % 31.41/8.64 |-The branch is then unsatisfiable % 31.41/8.64 |-Branch two: % 31.41/8.64 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 31.41/8.64 | % 31.41/8.64 | Applying alpha-rule on (528) yields: % 31.41/8.64 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 31.41/8.64 | (530) all_0_55_55 = e1 % 31.41/8.64 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 31.41/8.64 | (387) ~ (all_0_49_49 = e0) % 31.41/8.64 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 31.41/8.64 | (534) ~ (all_0_45_45 = e0) % 31.41/8.64 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 31.41/8.64 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 31.41/8.64 | (537) ~ (unit = e0) % 31.41/8.64 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 31.41/8.64 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 31.41/8.64 | % 31.41/8.64 | Equations (287) can reduce 534 to: % 31.41/8.64 | (303) $false % 31.41/8.64 | % 31.41/8.64 |-The branch is then unsatisfiable % 31.41/8.64 |-Branch two: % 31.41/8.64 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 31.41/8.64 | % 31.41/8.64 | Applying alpha-rule on (543) yields: % 31.41/8.64 | (544) ~ (all_0_48_48 = e2) % 31.41/8.64 | (369) ~ (all_0_41_41 = e2) % 31.41/8.64 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 31.41/8.64 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 31.41/8.64 | (253) ~ (all_0_43_43 = e2) % 31.41/8.64 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 31.41/8.64 | (276) ~ (all_0_55_55 = e2) % 31.41/8.64 | (260) ~ (all_0_59_59 = e2) % 31.41/8.64 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 31.41/8.64 | (274) ~ (all_0_53_53 = e2) % 31.41/8.64 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 31.41/8.64 | (373) ~ (all_0_51_51 = e2) % 31.41/8.64 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 31.41/8.64 | (256) ~ (all_0_47_47 = e2) % 31.41/8.64 | (377) ~ (all_0_57_57 = e2) % 31.41/8.64 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 31.41/8.64 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 31.41/8.64 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 31.41/8.64 | (258) ~ (all_0_50_50 = e2) % 31.41/8.64 | (254) ~ (all_0_45_45 = e2) % 31.41/8.64 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 31.41/8.64 | % 31.41/8.64 | Equations (714) can reduce 258 to: % 31.41/8.64 | (231) ~ (e4 = e2) % 31.41/8.64 | % 31.41/8.64 | Equations (388) can reduce 373 to: % 31.41/8.64 | (335) ~ (e2 = e0) % 31.41/8.64 | % 31.41/8.64 | Simplifying 335 yields: % 31.41/8.64 | (51) ~ (e2 = e0) % 31.41/8.64 | % 31.41/8.64 | Equations (589) can reduce 377 to: % 31.41/8.64 | (565) ~ (e2 = e1) % 31.41/8.64 | % 31.41/8.64 | Simplifying 565 yields: % 31.41/8.64 | (144) ~ (e2 = e1) % 31.41/8.64 | % 31.41/8.64 +-Applying beta-rule and splitting (61), into two cases. % 31.41/8.64 |-Branch one: % 31.41/8.64 | (580) all_0_56_56 = e2 % 31.41/8.64 | % 31.41/8.64 +-Applying beta-rule and splitting (243), into two cases. % 31.41/8.64 |-Branch one: % 31.41/8.64 | (877) all_0_56_56 = e4 % 31.41/8.64 | % 31.41/8.64 | Combining equations (580,877) yields a new equation: % 31.41/8.64 | (470) e4 = e2 % 31.41/8.64 | % 31.41/8.64 | Equations (470) can reduce 231 to: % 31.41/8.64 | (303) $false % 31.41/8.64 | % 31.41/8.64 |-The branch is then unsatisfiable % 31.41/8.64 |-Branch two: % 31.41/8.64 | (345) ~ (all_0_56_56 = e4) % 31.41/8.64 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 31.41/8.64 | % 31.41/8.64 | Equations (580) can reduce 345 to: % 31.41/8.64 | (261) ~ (e4 = e2) % 31.41/8.64 | % 31.41/8.64 | Simplifying 261 yields: % 31.41/8.64 | (231) ~ (e4 = e2) % 31.41/8.64 | % 31.41/8.64 +-Applying beta-rule and splitting (1073), into two cases. % 31.41/8.64 |-Branch one: % 31.41/8.64 | (462) all_0_53_53 = e1 % 31.41/8.64 | % 31.41/8.64 | Combining equations (462,994) yields a new equation: % 31.41/8.64 | (601) e3 = e1 % 31.41/8.64 | % 31.41/8.64 | Equations (601) can reduce 136 to: % 31.41/8.64 | (303) $false % 31.41/8.64 | % 31.41/8.64 |-The branch is then unsatisfiable % 31.41/8.64 |-Branch two: % 31.41/8.64 | (509) ~ (all_0_53_53 = e1) % 31.41/8.64 | (530) all_0_55_55 = e1 % 31.41/8.64 | % 31.41/8.64 +-Applying beta-rule and splitting (6), into two cases. % 31.41/8.64 |-Branch one: % 31.41/8.64 | (442) all_0_52_52 = e4 % 31.41/8.64 | % 31.41/8.64 | Equations (442) can reduce 78 to: % 31.41/8.64 | (4) ~ (e4 = e0) % 31.41/8.64 | % 31.41/8.64 +-Applying beta-rule and splitting (552), into two cases. % 31.41/8.64 |-Branch one: % 31.41/8.64 | (594) ~ (all_0_56_56 = e2) % 31.41/8.64 | % 31.41/8.64 | Equations (580) can reduce 594 to: % 31.41/8.64 | (303) $false % 31.41/8.64 | % 31.41/8.64 |-The branch is then unsatisfiable % 31.41/8.64 |-Branch two: % 31.41/8.64 | (580) all_0_56_56 = e2 % 31.41/8.64 | (597) all_0_58_58 = e4 & ~ (unit = e2) % 31.41/8.64 | % 31.41/8.64 | Applying alpha-rule on (597) yields: % 31.41/8.64 | (344) all_0_58_58 = e4 % 31.41/8.64 | (599) ~ (unit = e2) % 31.41/8.64 | % 31.41/8.64 | Combining equations (989,344) yields a new equation: % 31.41/8.64 | (654) e4 = e0 % 31.41/8.64 | % 31.41/8.64 | Equations (654) can reduce 4 to: % 31.41/8.64 | (303) $false % 31.41/8.64 | % 31.41/8.64 |-The branch is then unsatisfiable % 31.41/8.64 |-Branch two: % 31.41/8.64 | (445) ~ (all_0_52_52 = e4) % 31.41/8.64 | (446) all_0_54_54 = e4 | all_0_55_55 = e4 % 31.41/8.64 | % 31.41/8.64 +-Applying beta-rule and splitting (241), into two cases. % 31.41/8.64 |-Branch one: % 31.41/8.64 | (1096) all_0_44_44 = e4 % 31.41/8.64 | % 31.41/8.64 | Combining equations (572,1096) yields a new equation: % 31.41/8.64 | (470) e4 = e2 % 31.41/8.64 | % 31.41/8.64 | Equations (470) can reduce 231 to: % 31.41/8.64 | (303) $false % 31.41/8.64 | % 31.41/8.64 |-The branch is then unsatisfiable % 31.41/8.64 |-Branch two: % 31.41/8.64 | (474) ~ (all_0_44_44 = e4) % 31.41/8.65 | (1500) all_0_51_51 = e4 | all_0_55_55 = e4 | all_0_60_60 = e4 % 31.41/8.65 | % 31.41/8.65 | Equations (572) can reduce 474 to: % 31.41/8.65 | (261) ~ (e4 = e2) % 31.41/8.65 | % 31.41/8.65 | Simplifying 261 yields: % 31.41/8.65 | (231) ~ (e4 = e2) % 31.41/8.65 | % 31.41/8.65 +-Applying beta-rule and splitting (446), into two cases. % 31.41/8.65 |-Branch one: % 31.41/8.65 | (469) all_0_54_54 = e4 % 31.41/8.65 | % 31.41/8.65 | Combining equations (271,469) yields a new equation: % 31.41/8.65 | (470) e4 = e2 % 31.41/8.65 | % 31.41/8.65 | Equations (470) can reduce 231 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (472) ~ (all_0_54_54 = e4) % 31.41/8.65 | (473) all_0_55_55 = e4 % 31.41/8.65 | % 31.41/8.65 | Combining equations (530,473) yields a new equation: % 31.41/8.65 | (541) e4 = e1 % 31.41/8.65 | % 31.41/8.65 | Equations (541) can reduce 247 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (594) ~ (all_0_56_56 = e2) % 31.41/8.65 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 31.41/8.65 | % 31.41/8.65 +-Applying beta-rule and splitting (896), into two cases. % 31.41/8.65 |-Branch one: % 31.41/8.65 | (897) all_0_57_57 = e2 % 31.41/8.65 | % 31.41/8.65 | Combining equations (589,897) yields a new equation: % 31.41/8.65 | (585) e2 = e1 % 31.41/8.65 | % 31.41/8.65 | Equations (585) can reduce 144 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (377) ~ (all_0_57_57 = e2) % 31.41/8.65 | (902) all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 31.41/8.65 | % 31.41/8.65 +-Applying beta-rule and splitting (902), into two cases. % 31.41/8.65 |-Branch one: % 31.41/8.65 | (340) all_0_58_58 = e2 % 31.41/8.65 | % 31.41/8.65 | Combining equations (340,989) yields a new equation: % 31.41/8.65 | (403) e2 = e0 % 31.41/8.65 | % 31.41/8.65 | Simplifying 403 yields: % 31.41/8.65 | (385) e2 = e0 % 31.41/8.65 | % 31.41/8.65 | Equations (385) can reduce 51 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (278) ~ (all_0_58_58 = e2) % 31.41/8.65 | (908) all_0_59_59 = e2 | all_0_60_60 = e2 % 31.41/8.65 | % 31.41/8.65 +-Applying beta-rule and splitting (908), into two cases. % 31.41/8.65 |-Branch one: % 31.41/8.65 | (909) all_0_59_59 = e2 % 31.41/8.65 | % 31.41/8.65 | Equations (909) can reduce 260 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (260) ~ (all_0_59_59 = e2) % 31.41/8.65 | (913) all_0_60_60 = e2 % 31.41/8.65 | % 31.41/8.65 | Equations (913) can reduce 571 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (915) ~ (all_0_44_44 = e2) % 31.41/8.65 | (2069) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 31.41/8.65 | % 31.41/8.65 +-Applying beta-rule and splitting (227), into two cases. % 31.41/8.65 |-Branch one: % 31.41/8.65 | (909) all_0_59_59 = e2 % 31.41/8.65 | % 31.41/8.65 | Equations (909) can reduce 260 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (260) ~ (all_0_59_59 = e2) % 31.41/8.65 | (1037) all_0_59_59 = e4 | all_0_59_59 = e3 | all_0_59_59 = e1 % 31.41/8.65 | % 31.41/8.65 +-Applying beta-rule and splitting (157), into two cases. % 31.41/8.65 |-Branch one: % 31.41/8.65 | (917) all_0_40_40 = e2 % 31.41/8.65 | % 31.41/8.65 | Equations (917) can reduce 844 to: % 31.41/8.65 | (261) ~ (e4 = e2) % 31.41/8.65 | % 31.41/8.65 | Simplifying 261 yields: % 31.41/8.65 | (231) ~ (e4 = e2) % 31.41/8.65 | % 31.41/8.65 +-Applying beta-rule and splitting (1073), into two cases. % 31.41/8.65 |-Branch one: % 31.41/8.65 | (462) all_0_53_53 = e1 % 31.41/8.65 | % 31.41/8.65 | Combining equations (994,462) yields a new equation: % 31.41/8.65 | (680) e3 = e1 % 31.41/8.65 | % 31.41/8.65 | Simplifying 680 yields: % 31.41/8.65 | (601) e3 = e1 % 31.41/8.65 | % 31.41/8.65 | Equations (601) can reduce 136 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (509) ~ (all_0_53_53 = e1) % 31.41/8.65 | (530) all_0_55_55 = e1 % 31.41/8.65 | % 31.41/8.65 +-Applying beta-rule and splitting (6), into two cases. % 31.41/8.65 |-Branch one: % 31.41/8.65 | (442) all_0_52_52 = e4 % 31.41/8.65 | % 31.41/8.65 +-Applying beta-rule and splitting (145), into two cases. % 31.41/8.65 |-Branch one: % 31.41/8.65 | (1102) all_0_40_40 = e3 % 31.41/8.65 | % 31.41/8.65 | Combining equations (917,1102) yields a new equation: % 31.41/8.65 | (453) e3 = e2 % 31.41/8.65 | % 31.41/8.65 | Equations (453) can reduce 223 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (432) ~ (all_0_40_40 = e3) % 31.41/8.65 | (1105) all_0_45_45 = e3 | all_0_52_52 = e3 | all_0_56_56 = e3 % 31.41/8.65 | % 31.41/8.65 +-Applying beta-rule and splitting (1105), into two cases. % 31.41/8.65 |-Branch one: % 31.41/8.65 | (493) all_0_45_45 = e3 % 31.41/8.65 | % 31.41/8.65 | Combining equations (287,493) yields a new equation: % 31.41/8.65 | (497) e3 = e0 % 31.41/8.65 | % 31.41/8.65 | Equations (497) can reduce 70 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (1109) ~ (all_0_45_45 = e3) % 31.41/8.65 | (1110) all_0_52_52 = e3 | all_0_56_56 = e3 % 31.41/8.65 | % 31.41/8.65 +-Applying beta-rule and splitting (1037), into two cases. % 31.41/8.65 |-Branch one: % 31.41/8.65 | (717) all_0_59_59 = e4 % 31.41/8.65 | % 31.41/8.65 | Equations (717) can reduce 348 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (348) ~ (all_0_59_59 = e4) % 31.41/8.65 | (1047) all_0_59_59 = e3 | all_0_59_59 = e1 % 31.41/8.65 | % 31.41/8.65 +-Applying beta-rule and splitting (1047), into two cases. % 31.41/8.65 |-Branch one: % 31.41/8.65 | (600) all_0_59_59 = e1 % 31.41/8.65 | % 31.41/8.65 | Equations (600) can reduce 603 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (603) ~ (all_0_59_59 = e1) % 31.41/8.65 | (456) all_0_59_59 = e3 % 31.41/8.65 | % 31.41/8.65 | Equations (456) can reduce 42 to: % 31.41/8.65 | (526) ~ (all_0_56_56 = e3) % 31.41/8.65 | % 31.41/8.65 | Equations (456) can reduce 348 to: % 31.41/8.65 | (439) ~ (e4 = e3) % 31.41/8.65 | % 31.41/8.65 | Simplifying 439 yields: % 31.41/8.65 | (30) ~ (e4 = e3) % 31.41/8.65 | % 31.41/8.65 +-Applying beta-rule and splitting (1110), into two cases. % 31.41/8.65 |-Branch one: % 31.41/8.65 | (425) all_0_52_52 = e3 % 31.41/8.65 | % 31.41/8.65 | Combining equations (425,442) yields a new equation: % 31.41/8.65 | (443) e4 = e3 % 31.41/8.65 | % 31.41/8.65 | Equations (443) can reduce 30 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (521) ~ (all_0_52_52 = e3) % 31.41/8.65 | (1111) all_0_56_56 = e3 % 31.41/8.65 | % 31.41/8.65 | Equations (1111) can reduce 526 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (445) ~ (all_0_52_52 = e4) % 31.41/8.65 | (446) all_0_54_54 = e4 | all_0_55_55 = e4 % 31.41/8.65 | % 31.41/8.65 +-Applying beta-rule and splitting (446), into two cases. % 31.41/8.65 |-Branch one: % 31.41/8.65 | (469) all_0_54_54 = e4 % 31.41/8.65 | % 31.41/8.65 | Combining equations (271,469) yields a new equation: % 31.41/8.65 | (470) e4 = e2 % 31.41/8.65 | % 31.41/8.65 | Equations (470) can reduce 231 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (472) ~ (all_0_54_54 = e4) % 31.41/8.65 | (473) all_0_55_55 = e4 % 31.41/8.65 | % 31.41/8.65 | Combining equations (530,473) yields a new equation: % 31.41/8.65 | (541) e4 = e1 % 31.41/8.65 | % 31.41/8.65 | Equations (541) can reduce 247 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (939) ~ (all_0_40_40 = e2) % 31.41/8.65 | (940) all_0_41_41 = e2 | all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 31.41/8.65 | % 31.41/8.65 +-Applying beta-rule and splitting (940), into two cases. % 31.41/8.65 |-Branch one: % 31.41/8.65 | (945) all_0_41_41 = e2 % 31.41/8.65 | % 31.41/8.65 | Combining equations (398,945) yields a new equation: % 31.41/8.65 | (385) e2 = e0 % 31.41/8.65 | % 31.41/8.65 | Equations (385) can reduce 51 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (369) ~ (all_0_41_41 = e2) % 31.41/8.65 | (949) all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 31.41/8.65 | % 31.41/8.65 +-Applying beta-rule and splitting (949), into two cases. % 31.41/8.65 |-Branch one: % 31.41/8.65 | (959) all_0_42_42 = e2 % 31.41/8.65 | % 31.41/8.65 | Combining equations (3175,959) yields a new equation: % 31.41/8.65 | (878) e4 = e2 % 31.41/8.65 | % 31.41/8.65 | Simplifying 878 yields: % 31.41/8.65 | (470) e4 = e2 % 31.41/8.65 | % 31.41/8.65 | Equations (470) can reduce 231 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (272) ~ (all_0_42_42 = e2) % 31.41/8.65 | (964) all_0_43_43 = e2 | all_0_44_44 = e2 % 31.41/8.65 | % 31.41/8.65 +-Applying beta-rule and splitting (964), into two cases. % 31.41/8.65 |-Branch one: % 31.41/8.65 | (965) all_0_43_43 = e2 % 31.41/8.65 | % 31.41/8.65 | Combining equations (618,965) yields a new equation: % 31.41/8.65 | (585) e2 = e1 % 31.41/8.65 | % 31.41/8.65 | Equations (585) can reduce 144 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (253) ~ (all_0_43_43 = e2) % 31.41/8.65 | (572) all_0_44_44 = e2 % 31.41/8.65 | % 31.41/8.65 | Equations (572) can reduce 915 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (622) ~ (all_0_43_43 = e1) % 31.41/8.65 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 31.41/8.65 | % 31.41/8.65 +-Applying beta-rule and splitting (623), into two cases. % 31.41/8.65 |-Branch one: % 31.41/8.65 | (627) all_0_50_50 = e1 % 31.41/8.65 | % 31.41/8.65 | Combining equations (714,627) yields a new equation: % 31.41/8.65 | (540) e4 = e1 % 31.41/8.65 | % 31.41/8.65 | Simplifying 540 yields: % 31.41/8.65 | (541) e4 = e1 % 31.41/8.65 | % 31.41/8.65 | Equations (541) can reduce 247 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (678) ~ (all_0_50_50 = e1) % 31.41/8.65 | (600) all_0_59_59 = e1 % 31.41/8.65 | % 31.41/8.65 | Equations (600) can reduce 603 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (592) ~ (all_0_57_57 = e1) % 31.41/8.65 | (3062) all_0_57_57 = e3 | all_0_57_57 = e0 % 31.41/8.65 | % 31.41/8.65 +-Applying beta-rule and splitting (3062), into two cases. % 31.41/8.65 |-Branch one: % 31.41/8.65 | (407) all_0_57_57 = e0 % 31.41/8.65 | % 31.41/8.65 | Equations (407) can reduce 2273 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (2273) ~ (all_0_57_57 = e0) % 31.41/8.65 | (1001) all_0_57_57 = e3 % 31.41/8.65 | % 31.41/8.65 | Equations (1001) can reduce 2590 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (428) ~ (all_0_53_53 = e3) % 31.41/8.65 | (2165) all_0_55_55 = e3 % 31.41/8.65 | % 31.41/8.65 | Equations (2165) can reduce 314 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (802) ~ (all_0_48_48 = e1) % 31.41/8.65 | (380) all_0_48_48 = e0 % 31.41/8.65 | % 31.41/8.65 | Equations (380) can reduce 292 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (611) ~ (all_0_50_50 = e4) % 31.41/8.65 | (1501) all_0_51_51 = e4 % 31.41/8.65 | % 31.41/8.65 | Combining equations (1501,388) yields a new equation: % 31.41/8.65 | (1573) e4 = e0 % 31.41/8.65 | % 31.41/8.65 | Simplifying 1573 yields: % 31.41/8.65 | (654) e4 = e0 % 31.41/8.65 | % 31.41/8.65 | Equations (654) can reduce 4 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (326) ~ (all_0_41_41 = e0) % 31.41/8.65 | (401) all_0_49_49 = e0 | all_0_57_57 = e0 % 31.41/8.65 | % 31.41/8.65 +-Applying beta-rule and splitting (401), into two cases. % 31.41/8.65 |-Branch one: % 31.41/8.65 | (384) all_0_49_49 = e0 % 31.41/8.65 | % 31.41/8.65 | Combining equations (368,384) yields a new equation: % 31.41/8.65 | (403) e2 = e0 % 31.41/8.65 | % 31.41/8.65 | Simplifying 403 yields: % 31.41/8.65 | (385) e2 = e0 % 31.41/8.65 | % 31.41/8.65 | Equations (385) can reduce 51 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (387) ~ (all_0_49_49 = e0) % 31.41/8.65 | (407) all_0_57_57 = e0 % 31.41/8.65 | % 31.41/8.65 | Equations (407) can reduce 2273 to: % 31.41/8.65 | (303) $false % 31.41/8.65 | % 31.41/8.65 |-The branch is then unsatisfiable % 31.41/8.65 |-Branch two: % 31.41/8.65 | (2167) ~ (all_0_49_49 = e2) % 31.41/8.65 | (2168) all_0_49_49 = e1 | all_0_49_49 = e0 % 31.41/8.65 | % 31.41/8.65 +-Applying beta-rule and splitting (104), into two cases. % 31.41/8.65 |-Branch one: % 31.41/8.65 | (945) all_0_41_41 = e2 % 31.41/8.65 | % 31.41/8.65 | Equations (945) can reduce 151 to: % 31.41/8.65 | (939) ~ (all_0_40_40 = e2) % 31.41/8.65 | % 31.41/8.65 | Equations (945) can reduce 176 to: % 31.41/8.65 | (4230) ~ (all_0_44_44 = e2) % 31.41/8.65 | % 31.41/8.65 | Simplifying 4230 yields: % 31.41/8.65 | (915) ~ (all_0_44_44 = e2) % 31.41/8.65 | % 31.41/8.65 | Equations (945) can reduce 177 to: % 31.41/8.65 | (2170) ~ (all_0_49_49 = e2) % 31.41/8.65 | % 31.41/8.65 | Simplifying 2170 yields: % 31.41/8.65 | (2167) ~ (all_0_49_49 = e2) % 31.41/8.65 | % 31.41/8.65 | Equations (945) can reduce 192 to: % 31.41/8.65 | (261) ~ (e4 = e2) % 31.41/8.65 | % 31.41/8.65 | Simplifying 261 yields: % 31.41/8.65 | (231) ~ (e4 = e2) % 31.41/8.65 | % 31.41/8.65 | From (945) and (26) follows: % 31.41/8.65 | (5334) op(e2, e3) = all_0_2_2 % 31.41/8.65 | % 31.41/8.65 | From (945) and (167) follows: % 31.41/8.65 | (2648) op(e4, e3) = e2 % 31.41/8.65 | % 31.41/8.65 +-Applying beta-rule and splitting (150), into two cases. % 31.41/8.65 |-Branch one: % 31.41/8.65 | (398) all_0_41_41 = e0 % 31.41/8.66 | % 31.41/8.66 | Combining equations (945,398) yields a new equation: % 31.41/8.66 | (403) e2 = e0 % 31.41/8.66 | % 31.41/8.66 | Simplifying 403 yields: % 31.41/8.66 | (385) e2 = e0 % 31.41/8.66 | % 31.41/8.66 | Equations (385) can reduce 51 to: % 31.41/8.66 | (303) $false % 31.41/8.66 | % 31.41/8.66 |-The branch is then unsatisfiable % 31.41/8.66 |-Branch two: % 31.41/8.66 | (326) ~ (all_0_41_41 = e0) % 31.41/8.66 | (401) all_0_49_49 = e0 | all_0_57_57 = e0 % 31.41/8.66 | % 31.41/8.66 +-Applying beta-rule and splitting (401), into two cases. % 31.41/8.66 |-Branch one: % 31.41/8.66 | (384) all_0_49_49 = e0 % 31.41/8.66 | % 31.41/8.66 | Equations (384) can reduce 58 to: % 31.41/8.66 | (292) ~ (all_0_48_48 = e0) % 31.41/8.66 | % 31.41/8.66 | Equations (384) can reduce 218 to: % 31.41/8.66 | (333) ~ (e3 = e0) % 31.41/8.66 | % 31.41/8.66 | Simplifying 333 yields: % 31.41/8.66 | (70) ~ (e3 = e0) % 31.41/8.66 | % 31.41/8.66 | Equations (384) can reduce 2167 to: % 31.41/8.66 | (335) ~ (e2 = e0) % 31.41/8.66 | % 31.41/8.66 | Simplifying 335 yields: % 31.41/8.66 | (51) ~ (e2 = e0) % 31.41/8.66 | % 31.41/8.66 | From (384) and (94) follows: % 31.41/8.66 | (2550) op(e2, e3) = e0 % 31.41/8.66 | % 31.41/8.66 +-Applying beta-rule and splitting (84), into two cases. % 31.41/8.66 |-Branch one: % 31.41/8.66 | (2078) all_0_44_44 = e0 % 31.41/8.66 | % 31.41/8.66 | Equations (2078) can reduce 124 to: % 31.41/8.66 | (288) ~ (all_0_40_40 = e0) % 31.41/8.66 | % 31.41/8.66 | Equations (2078) can reduce 82 to: % 31.41/8.66 | (117) ~ (all_0_43_43 = e0) % 31.41/8.66 | % 31.41/8.66 | Equations (2078) can reduce 59 to: % 31.41/8.66 | (392) ~ (all_0_55_55 = e0) % 31.41/8.66 | % 31.41/8.66 | Simplifying 392 yields: % 31.41/8.66 | (93) ~ (all_0_55_55 = e0) % 31.41/8.66 | % 31.41/8.66 | Equations (2078) can reduce 310 to: % 31.41/8.66 | (333) ~ (e3 = e0) % 31.41/8.66 | % 31.41/8.66 | Simplifying 333 yields: % 31.41/8.66 | (70) ~ (e3 = e0) % 31.41/8.66 | % 31.41/8.66 | Equations (2078) can reduce 915 to: % 31.41/8.66 | (335) ~ (e2 = e0) % 31.41/8.66 | % 31.41/8.66 | Simplifying 335 yields: % 31.41/8.66 | (51) ~ (e2 = e0) % 31.41/8.66 | % 31.41/8.66 | From (2078) and (235) follows: % 31.41/8.66 | (5358) op(e0, e4) = all_0_7_7 % 31.41/8.66 | % 31.41/8.66 | From (2078) and (128) follows: % 31.41/8.66 | (5359) op(e0, e0) = all_0_8_8 % 31.41/8.66 | % 31.41/8.66 +-Applying beta-rule and splitting (56), into two cases. % 31.41/8.66 |-Branch one: % 31.41/8.66 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 31.41/8.66 | % 31.41/8.66 +-Applying beta-rule and splitting (480), into two cases. % 31.41/8.66 |-Branch one: % 31.41/8.66 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 31.41/8.66 | % 31.41/8.66 +-Applying beta-rule and splitting (481), into two cases. % 31.41/8.66 |-Branch one: % 31.41/8.66 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 31.41/8.66 | % 31.41/8.66 +-Applying beta-rule and splitting (482), into two cases. % 31.41/8.66 |-Branch one: % 31.41/8.66 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 31.41/8.66 | % 31.41/8.66 | Applying alpha-rule on (483) yields: % 31.41/8.66 | (484) ~ (unit = e4) % 31.41/8.66 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 31.41/8.66 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 31.41/8.66 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 31.41/8.66 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 31.41/8.66 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 31.41/8.66 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 31.41/8.66 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 31.41/8.66 | (492) ~ (all_0_55_55 = e4) % 31.41/8.66 | (493) all_0_45_45 = e3 % 31.41/8.66 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 31.41/8.66 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 31.41/8.66 | % 31.41/8.66 | Combining equations (493,287) yields a new equation: % 31.41/8.66 | (496) e3 = e0 % 31.41/8.66 | % 31.41/8.66 | Simplifying 496 yields: % 31.41/8.66 | (497) e3 = e0 % 31.41/8.66 | % 31.41/8.66 | Equations (497) can reduce 70 to: % 31.41/8.66 | (303) $false % 31.41/8.66 | % 31.41/8.66 |-The branch is then unsatisfiable % 31.41/8.66 |-Branch two: % 31.41/8.66 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 31.41/8.66 | % 31.41/8.66 | Applying alpha-rule on (499) yields: % 31.41/8.66 | (500) ~ (all_0_51_51 = e1) % 31.41/8.66 | (501) ~ (all_0_60_60 = e1) % 31.41/8.66 | (502) ~ (all_0_52_52 = e1) % 31.41/8.66 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 31.41/8.66 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 31.41/8.66 | (252) all_0_46_46 = e2 % 31.41/8.66 | (506) ~ (all_0_49_49 = e1) % 31.41/8.66 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 31.41/8.66 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 31.41/8.66 | (509) ~ (all_0_53_53 = e1) % 31.41/8.66 | (510) ~ (unit = e1) % 31.41/8.66 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 31.41/8.66 | (512) ~ (all_0_44_44 = e1) % 31.41/8.66 | % 31.41/8.66 +-Applying beta-rule and splitting (85), into two cases. % 31.41/8.66 |-Branch one: % 31.41/8.66 | (1070) all_0_52_52 = e1 % 31.41/8.66 | % 31.41/8.66 | Equations (1070) can reduce 502 to: % 31.41/8.66 | (303) $false % 31.41/8.66 | % 31.41/8.66 |-The branch is then unsatisfiable % 31.41/8.66 |-Branch two: % 31.41/8.66 | (502) ~ (all_0_52_52 = e1) % 31.41/8.66 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 31.41/8.66 | % 31.41/8.66 +-Applying beta-rule and splitting (1073), into two cases. % 31.41/8.66 |-Branch one: % 31.41/8.66 | (462) all_0_53_53 = e1 % 31.41/8.66 | % 31.41/8.66 | Equations (462) can reduce 509 to: % 31.41/8.66 | (303) $false % 31.41/8.66 | % 31.41/8.66 |-The branch is then unsatisfiable % 31.41/8.66 |-Branch two: % 31.41/8.66 | (509) ~ (all_0_53_53 = e1) % 31.41/8.66 | (530) all_0_55_55 = e1 % 31.41/8.66 | % 31.41/8.66 | Equations (530) can reduce 131 to: % 31.41/8.66 | (509) ~ (all_0_53_53 = e1) % 31.41/8.66 | % 31.41/8.66 | Equations (530) can reduce 276 to: % 31.41/8.66 | (565) ~ (e2 = e1) % 31.41/8.66 | % 31.41/8.66 | Simplifying 565 yields: % 31.41/8.66 | (144) ~ (e2 = e1) % 31.41/8.66 | % 31.41/8.66 | Equations (530) can reduce 93 to: % 31.41/8.66 | (134) ~ (e1 = e0) % 31.41/8.66 | % 31.41/8.66 +-Applying beta-rule and splitting (508), into two cases. % 31.41/8.66 |-Branch one: % 31.41/8.66 | (683) ~ (all_0_40_40 = e1) % 31.41/8.66 | % 31.41/8.66 +-Applying beta-rule and splitting (233), into two cases. % 31.41/8.66 |-Branch one: % 31.41/8.66 | (917) all_0_40_40 = e2 % 31.41/8.66 | % 31.41/8.66 | Equations (917) can reduce 939 to: % 31.41/8.66 | (303) $false % 31.41/8.66 | % 31.41/8.66 |-The branch is then unsatisfiable % 31.41/8.66 |-Branch two: % 31.41/8.66 | (939) ~ (all_0_40_40 = e2) % 31.41/8.66 | (2671) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 31.41/8.66 | % 31.41/8.66 +-Applying beta-rule and splitting (221), into two cases. % 31.41/8.66 |-Branch one: % 31.41/8.66 | (696) all_0_41_41 = e1 % 31.41/8.66 | % 31.41/8.66 | Combining equations (945,696) yields a new equation: % 31.41/8.66 | (584) e2 = e1 % 31.41/8.66 | % 31.41/8.66 | Simplifying 584 yields: % 31.41/8.66 | (585) e2 = e1 % 31.41/8.66 | % 31.41/8.66 | Equations (585) can reduce 144 to: % 31.41/8.66 | (303) $false % 31.41/8.66 | % 31.41/8.66 |-The branch is then unsatisfiable % 31.41/8.66 |-Branch two: % 31.41/8.66 | (699) ~ (all_0_41_41 = e1) % 31.41/8.66 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 31.41/8.66 | % 31.41/8.66 +-Applying beta-rule and splitting (6), into two cases. % 31.41/8.66 |-Branch one: % 31.41/8.66 | (442) all_0_52_52 = e4 % 31.41/8.66 | % 31.41/8.66 | Equations (442) can reduce 188 to: % 31.41/8.66 | (844) ~ (all_0_40_40 = e4) % 31.41/8.66 | % 31.41/8.66 | Equations (442) can reduce 108 to: % 31.41/8.66 | (721) ~ (all_0_48_48 = e4) % 31.41/8.66 | % 31.41/8.66 | Equations (442) can reduce 149 to: % 31.41/8.66 | (2280) ~ (all_0_56_56 = e4) % 31.41/8.66 | % 31.41/8.66 | Simplifying 2280 yields: % 31.41/8.66 | (345) ~ (all_0_56_56 = e4) % 31.41/8.66 | % 31.41/8.66 | Equations (442) can reduce 78 to: % 31.41/8.66 | (4) ~ (e4 = e0) % 31.41/8.66 | % 31.41/8.66 | From (442) and (45) follows: % 31.41/8.66 | (2564) op(e4, e4) = all_0_24_24 % 31.41/8.66 | % 31.41/8.66 | From (442) and (152) follows: % 31.41/8.66 | (649) op(e1, e4) = e4 % 31.41/8.66 | % 31.41/8.66 +-Applying beta-rule and splitting (363), into two cases. % 31.41/8.66 |-Branch one: % 31.41/8.66 | (462) all_0_53_53 = e1 % 31.41/8.66 | % 31.41/8.66 | Equations (462) can reduce 509 to: % 31.41/8.66 | (303) $false % 31.41/8.66 | % 31.41/8.66 |-The branch is then unsatisfiable % 31.41/8.66 |-Branch two: % 31.41/8.66 | (509) ~ (all_0_53_53 = e1) % 31.41/8.66 | (994) all_0_53_53 = e3 % 31.41/8.66 | % 31.41/8.66 | Equations (994) can reduce 509 to: % 31.41/8.66 | (136) ~ (e3 = e1) % 31.41/8.66 | % 31.41/8.66 | From (994) and (242) follows: % 31.41/8.66 | (2592) op(e3, e3) = all_0_26_26 % 31.41/8.66 | % 31.41/8.66 | From (994) and (54) follows: % 31.41/8.66 | (2593) op(e3, e1) = all_0_25_25 % 31.41/8.66 | % 31.41/8.66 +-Applying beta-rule and splitting (2154), into two cases. % 31.41/8.66 |-Branch one: % 31.41/8.66 | (1580) all_0_49_49 = e1 % 31.41/8.66 | % 31.41/8.66 | Combining equations (384,1580) yields a new equation: % 31.41/8.66 | (590) e1 = e0 % 31.41/8.66 | % 31.41/8.66 | Equations (590) can reduce 134 to: % 31.41/8.66 | (303) $false % 31.41/8.66 | % 31.41/8.66 |-The branch is then unsatisfiable % 31.41/8.66 |-Branch two: % 31.41/8.66 | (506) ~ (all_0_49_49 = e1) % 31.41/8.66 | (2676) all_0_53_53 = e1 | all_0_57_57 = e1 % 31.41/8.66 | % 31.41/8.66 +-Applying beta-rule and splitting (2671), into two cases. % 31.41/8.66 |-Branch one: % 31.41/8.66 | (723) all_0_40_40 = e4 % 31.41/8.66 | % 31.41/8.66 | Equations (723) can reduce 844 to: % 31.41/8.66 | (303) $false % 31.41/8.66 | % 31.41/8.66 |-The branch is then unsatisfiable % 31.41/8.66 |-Branch two: % 31.41/8.66 | (844) ~ (all_0_40_40 = e4) % 31.41/8.66 | (2800) all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 31.41/8.66 | % 31.41/8.66 +-Applying beta-rule and splitting (2676), into two cases. % 31.41/8.66 |-Branch one: % 31.41/8.66 | (462) all_0_53_53 = e1 % 31.41/8.66 | % 31.41/8.66 | Combining equations (994,462) yields a new equation: % 31.41/8.66 | (680) e3 = e1 % 31.41/8.66 | % 31.41/8.66 | Simplifying 680 yields: % 31.41/8.66 | (601) e3 = e1 % 31.41/8.66 | % 31.41/8.66 | Equations (601) can reduce 136 to: % 31.41/8.66 | (303) $false % 31.41/8.66 | % 31.41/8.66 |-The branch is then unsatisfiable % 31.41/8.66 |-Branch two: % 31.41/8.66 | (509) ~ (all_0_53_53 = e1) % 31.41/8.66 | (589) all_0_57_57 = e1 % 31.41/8.66 | % 31.41/8.66 | Equations (589) can reduce 172 to: % 31.41/8.66 | (587) ~ (all_0_56_56 = e1) % 31.41/8.66 | % 31.41/8.66 +-Applying beta-rule and splitting (2800), into two cases. % 31.41/8.66 |-Branch one: % 31.41/8.66 | (624) all_0_40_40 = e1 % 31.41/8.66 | % 31.41/8.66 | Equations (624) can reduce 683 to: % 31.41/8.67 | (303) $false % 31.41/8.67 | % 31.41/8.67 |-The branch is then unsatisfiable % 31.41/8.67 |-Branch two: % 31.41/8.67 | (683) ~ (all_0_40_40 = e1) % 31.41/8.67 | (2833) all_0_40_40 = e3 | all_0_40_40 = e0 % 31.41/8.67 | % 31.41/8.67 +-Applying beta-rule and splitting (2833), into two cases. % 31.41/8.67 |-Branch one: % 31.41/8.67 | (2834) all_0_40_40 = e0 % 31.41/8.67 | % 31.41/8.67 | Equations (2834) can reduce 288 to: % 31.41/8.67 | (303) $false % 31.41/8.67 | % 31.41/8.67 |-The branch is then unsatisfiable % 31.41/8.67 |-Branch two: % 31.41/8.67 | (288) ~ (all_0_40_40 = e0) % 31.41/8.67 | (1102) all_0_40_40 = e3 % 31.41/8.67 | % 31.41/8.67 | Equations (1102) can reduce 8 to: % 31.41/8.67 | (433) ~ (all_0_43_43 = e3) % 31.41/8.67 | % 31.41/8.67 | Simplifying 433 yields: % 31.41/8.67 | (434) ~ (all_0_43_43 = e3) % 31.41/8.67 | % 31.41/8.67 | Equations (1102) can reduce 53 to: % 31.41/8.67 | (1725) ~ (all_0_48_48 = e3) % 31.41/8.67 | % 31.41/8.67 | Simplifying 1725 yields: % 31.41/8.67 | (34) ~ (all_0_48_48 = e3) % 31.41/8.67 | % 31.41/8.67 | Equations (1102) can reduce 844 to: % 31.41/8.67 | (439) ~ (e4 = e3) % 31.41/8.67 | % 31.41/8.67 | Simplifying 439 yields: % 31.41/8.67 | (30) ~ (e4 = e3) % 31.41/8.67 | % 31.41/8.67 | Equations (1102) can reduce 939 to: % 31.41/8.67 | (223) ~ (e3 = e2) % 31.41/8.67 | % 31.41/8.67 | From (1102) and (168) follows: % 31.41/8.67 | (1730) op(e4, e4) = e3 % 31.41/8.67 | % 31.41/8.67 +-Applying beta-rule and splitting (137), into two cases. % 31.41/8.67 |-Branch one: % 31.41/8.67 | (447) all_0_43_43 = e3 % 31.41/8.67 | % 31.41/8.67 | Equations (447) can reduce 434 to: % 31.41/8.67 | (303) $false % 31.41/8.67 | % 31.41/8.67 |-The branch is then unsatisfiable % 31.41/8.67 |-Branch two: % 31.41/8.67 | (434) ~ (all_0_43_43 = e3) % 31.41/8.67 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 31.41/8.67 | % 31.41/8.67 +-Applying beta-rule and splitting (450), into two cases. % 31.41/8.67 |-Branch one: % 31.41/8.67 | (451) all_0_46_46 = e3 % 31.41/8.67 | % 31.41/8.67 | Combining equations (252,451) yields a new equation: % 31.41/8.67 | (453) e3 = e2 % 31.41/8.67 | % 31.41/8.67 | Equations (453) can reduce 223 to: % 31.41/8.67 | (303) $false % 31.41/8.67 | % 31.41/8.67 |-The branch is then unsatisfiable % 31.41/8.67 |-Branch two: % 31.41/8.67 | (455) ~ (all_0_46_46 = e3) % 31.41/8.67 | (456) all_0_59_59 = e3 % 31.41/8.67 | % 31.41/8.67 | Equations (456) can reduce 42 to: % 31.41/8.67 | (526) ~ (all_0_56_56 = e3) % 31.41/8.67 | % 31.41/8.67 | From (456) and (33) follows: % 31.41/8.67 | (5473) op(e3, e1) = all_0_38_38 % 31.41/8.67 | % 31.41/8.67 +-Applying beta-rule and splitting (141), into two cases. % 31.41/8.67 |-Branch one: % 31.41/8.67 | (580) all_0_56_56 = e2 % 31.41/8.67 | % 31.41/8.67 | Equations (580) can reduce 2 to: % 31.41/8.67 | (544) ~ (all_0_48_48 = e2) % 31.41/8.67 | % 31.41/8.67 | Equations (580) can reduce 345 to: % 31.41/8.67 | (261) ~ (e4 = e2) % 31.41/8.67 | % 31.41/8.67 | Simplifying 261 yields: % 31.41/8.67 | (231) ~ (e4 = e2) % 31.41/8.67 | % 31.41/8.67 | Equations (580) can reduce 296 to: % 31.41/8.67 | (51) ~ (e2 = e0) % 31.41/8.67 | % 31.41/8.67 | From (580) and (132) follows: % 31.41/8.67 | (582) op(e0, e4) = e2 % 31.41/8.67 | % 31.41/8.67 +-Applying beta-rule and splitting (212), into two cases. % 31.41/8.67 |-Branch one: % 31.41/8.67 | (727) all_0_48_48 = e2 % 31.41/8.67 | % 31.41/8.67 | Equations (727) can reduce 544 to: % 31.41/8.67 | (303) $false % 31.41/8.67 | % 31.41/8.67 |-The branch is then unsatisfiable % 31.41/8.67 |-Branch two: % 31.41/8.67 | (544) ~ (all_0_48_48 = e2) % 31.41/8.67 | (730) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 31.41/8.67 | % 31.41/8.67 +-Applying beta-rule and splitting (730), into two cases. % 31.41/8.67 |-Branch one: % 31.41/8.67 | (609) all_0_48_48 = e4 % 31.41/8.67 | % 31.41/8.67 | Equations (609) can reduce 721 to: % 31.41/8.67 | (303) $false % 31.41/8.67 | % 31.41/8.67 |-The branch is then unsatisfiable % 31.41/8.67 |-Branch two: % 31.41/8.67 | (721) ~ (all_0_48_48 = e4) % 31.41/8.67 | (811) all_0_48_48 = e1 | all_0_48_48 = e0 % 31.41/8.67 | % 31.41/8.67 +-Applying beta-rule and splitting (811), into two cases. % 31.41/8.67 |-Branch one: % 31.41/8.67 | (748) all_0_48_48 = e1 % 31.41/8.67 | % 31.41/8.67 | Equations (748) can reduce 48 to: % 31.41/8.67 | (855) ~ (all_0_50_50 = e1) % 31.41/8.67 | % 31.41/8.67 | Simplifying 855 yields: % 31.41/8.67 | (678) ~ (all_0_50_50 = e1) % 31.41/8.67 | % 31.41/8.67 | Equations (748) can reduce 34 to: % 31.41/8.67 | (465) ~ (e3 = e1) % 31.41/8.67 | % 31.41/8.67 | Simplifying 465 yields: % 31.41/8.67 | (136) ~ (e3 = e1) % 31.41/8.67 | % 31.41/8.67 | Equations (748) can reduce 544 to: % 31.41/8.67 | (565) ~ (e2 = e1) % 31.41/8.67 | % 31.41/8.67 | Simplifying 565 yields: % 31.41/8.67 | (144) ~ (e2 = e1) % 31.41/8.67 | % 31.41/8.67 | From (748) and (187) follows: % 31.41/8.67 | (2611) op(e1, e4) = all_0_16_16 % 31.41/8.67 | % 31.41/8.67 +-Applying beta-rule and splitting (97), into two cases. % 31.41/8.67 |-Branch one: % 31.41/8.67 | (727) all_0_48_48 = e2 % 31.41/8.67 | % 31.41/8.67 | Combining equations (748,727) yields a new equation: % 31.41/8.67 | (585) e2 = e1 % 31.41/8.67 | % 31.41/8.67 | Equations (585) can reduce 144 to: % 31.41/8.67 | (303) $false % 31.41/8.67 | % 31.41/8.67 |-The branch is then unsatisfiable % 31.41/8.67 |-Branch two: % 31.41/8.67 | (544) ~ (all_0_48_48 = e2) % 31.41/8.67 | (2476) all_0_49_49 = e2 | all_0_50_50 = e2 | all_0_51_51 = e2 % 31.41/8.67 | % 31.41/8.67 +-Applying beta-rule and splitting (2476), into two cases. % 31.41/8.67 |-Branch one: % 31.41/8.67 | (368) all_0_49_49 = e2 % 31.41/8.67 | % 31.41/8.67 | Combining equations (384,368) yields a new equation: % 31.41/8.67 | (385) e2 = e0 % 31.41/8.67 | % 31.41/8.67 | Equations (385) can reduce 51 to: % 31.41/8.67 | (303) $false % 31.41/8.67 | % 31.41/8.67 |-The branch is then unsatisfiable % 31.41/8.67 |-Branch two: % 31.41/8.67 | (2167) ~ (all_0_49_49 = e2) % 31.41/8.67 | (2480) all_0_50_50 = e2 | all_0_51_51 = e2 % 31.41/8.67 | % 31.41/8.67 +-Applying beta-rule and splitting (2480), into two cases. % 31.41/8.67 |-Branch one: % 31.41/8.67 | (364) all_0_50_50 = e2 % 31.41/8.67 | % 31.41/8.67 | Equations (364) can reduce 258 to: % 31.41/8.67 | (303) $false % 31.41/8.67 | % 31.41/8.67 |-The branch is then unsatisfiable % 31.41/8.67 |-Branch two: % 31.41/8.67 | (258) ~ (all_0_50_50 = e2) % 31.41/8.67 | (927) all_0_51_51 = e2 % 31.41/8.67 | % 31.41/8.67 | From (927) and (122) follows: % 31.41/8.67 | (2490) op(e2, e2) = all_0_21_21 % 31.41/8.67 | % 31.41/8.67 +-Applying beta-rule and splitting (243), into two cases. % 31.41/8.67 |-Branch one: % 31.41/8.67 | (877) all_0_56_56 = e4 % 31.41/8.67 | % 31.41/8.67 | Combining equations (580,877) yields a new equation: % 31.41/8.67 | (470) e4 = e2 % 31.41/8.67 | % 31.41/8.67 | Equations (470) can reduce 231 to: % 31.41/8.67 | (303) $false % 31.41/8.67 | % 31.41/8.67 |-The branch is then unsatisfiable % 31.41/8.67 |-Branch two: % 31.41/8.67 | (345) ~ (all_0_56_56 = e4) % 31.41/8.67 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 31.41/8.67 | % 31.41/8.67 +-Applying beta-rule and splitting (100), into two cases. % 31.41/8.67 |-Branch one: % 31.41/8.67 | (618) all_0_43_43 = e1 % 31.41/8.67 | % 31.41/8.67 | Equations (618) can reduce 117 to: % 31.41/8.67 | (134) ~ (e1 = e0) % 31.41/8.67 | % 31.41/8.67 | From (618) and (89) follows: % 31.41/8.67 | (4910) op(e1, e4) = all_0_5_5 % 31.41/8.67 | % 31.41/8.67 +-Applying beta-rule and splitting (4489), into two cases. % 31.41/8.67 |-Branch one: % 31.41/8.67 | (344) all_0_58_58 = e4 % 31.41/8.67 | % 31.41/8.67 | Combining equations (344,989) yields a new equation: % 31.41/8.67 | (1573) e4 = e0 % 31.41/8.67 | % 31.41/8.67 | Simplifying 1573 yields: % 31.41/8.67 | (654) e4 = e0 % 31.41/8.67 | % 31.41/8.67 | Equations (654) can reduce 4 to: % 31.41/8.67 | (303) $false % 31.41/8.67 | % 31.41/8.67 |-The branch is then unsatisfiable % 31.41/8.67 |-Branch two: % 31.41/8.67 | (3161) ~ (all_0_58_58 = e4) % 31.41/8.67 | (4996) all_0_59_59 = e4 | all_0_60_60 = e4 % 31.41/8.67 | % 31.41/8.67 +-Applying beta-rule and splitting (4996), into two cases. % 31.41/8.67 |-Branch one: % 31.41/8.67 | (717) all_0_59_59 = e4 % 31.41/8.67 | % 31.41/8.67 | Combining equations (456,717) yields a new equation: % 31.41/8.67 | (443) e4 = e3 % 31.41/8.67 | % 31.41/8.67 | Equations (443) can reduce 30 to: % 31.41/8.67 | (303) $false % 31.41/8.67 | % 31.41/8.67 |-The branch is then unsatisfiable % 31.41/8.67 |-Branch two: % 31.41/8.67 | (348) ~ (all_0_59_59 = e4) % 31.41/8.67 | (1510) all_0_60_60 = e4 % 31.41/8.67 | % 31.41/8.67 | From (1510) and (170) follows: % 31.41/8.67 | (5006) op(e0, e0) = e4 % 31.41/8.67 | % 31.41/8.67 +-Applying beta-rule and splitting (504), into two cases. % 31.41/8.67 |-Branch one: % 31.41/8.67 | (802) ~ (all_0_48_48 = e1) % 31.41/8.67 | % 31.41/8.67 | Equations (748) can reduce 802 to: % 31.41/8.67 | (303) $false % 31.41/8.67 | % 31.41/8.67 |-The branch is then unsatisfiable % 31.41/8.67 |-Branch two: % 31.41/8.67 | (748) all_0_48_48 = e1 % 31.41/8.67 | (714) all_0_50_50 = e4 % 31.41/8.67 | % 31.41/8.67 | From (714) and (129) follows: % 31.41/8.67 | (2616) op(e4, e2) = all_0_19_19 % 31.41/8.67 | % 31.41/8.67 | Instantiating formula (29) with e4, e4, e3, all_0_24_24 and discharging atoms op(e4, e4) = all_0_24_24, op(e4, e4) = e3, yields: % 31.41/8.67 | (5536) all_0_24_24 = e3 % 31.41/8.67 | % 31.41/8.67 | Instantiating formula (29) with e4, e2, all_0_19_19, e4 and discharging atoms op(e4, e2) = all_0_19_19, op(e4, e2) = e4, yields: % 31.41/8.67 | (4204) all_0_19_19 = e4 % 31.41/8.67 | % 31.41/8.67 | Instantiating formula (29) with e3, e3, all_0_26_26, e4 and discharging atoms op(e3, e3) = all_0_26_26, op(e3, e3) = e4, yields: % 31.41/8.67 | (2620) all_0_26_26 = e4 % 31.41/8.67 | % 31.41/8.67 | Instantiating formula (29) with e3, e1, all_0_25_25, e2 and discharging atoms op(e3, e1) = all_0_25_25, op(e3, e1) = e2, yields: % 31.41/8.67 | (2621) all_0_25_25 = e2 % 31.41/8.67 | % 31.41/8.67 | Instantiating formula (29) with e3, e1, all_0_38_38, all_0_25_25 and discharging atoms op(e3, e1) = all_0_25_25, op(e3, e1) = all_0_38_38, yields: % 31.41/8.67 | (5540) all_0_25_25 = all_0_38_38 % 31.41/8.67 | % 31.41/8.67 | Instantiating formula (29) with e2, e3, e0, all_0_2_2 and discharging atoms op(e2, e3) = all_0_2_2, op(e2, e3) = e0, yields: % 31.41/8.67 | (5541) all_0_2_2 = e0 % 31.41/8.67 | % 31.41/8.67 | Instantiating formula (29) with e2, e2, all_0_21_21, e3 and discharging atoms op(e2, e2) = all_0_21_21, op(e2, e2) = e3, yields: % 31.41/8.67 | (2622) all_0_21_21 = e3 % 31.41/8.67 | % 31.41/8.67 | Instantiating formula (29) with e1, e4, all_0_16_16, all_0_5_5 and discharging atoms op(e1, e4) = all_0_5_5, op(e1, e4) = all_0_16_16, yields: % 31.41/8.67 | (5543) all_0_5_5 = all_0_16_16 % 31.41/8.67 | % 31.41/8.67 | Instantiating formula (29) with e1, e4, e4, all_0_5_5 and discharging atoms op(e1, e4) = all_0_5_5, op(e1, e4) = e4, yields: % 31.41/8.67 | (5008) all_0_5_5 = e4 % 31.41/8.67 | % 31.41/8.67 | Instantiating formula (29) with e0, e4, e2, all_0_7_7 and discharging atoms op(e0, e4) = all_0_7_7, op(e0, e4) = e2, yields: % 31.41/8.67 | (5545) all_0_7_7 = e2 % 31.41/8.67 | % 31.41/8.67 | Instantiating formula (29) with e0, e0, e4, all_0_8_8 and discharging atoms op(e0, e0) = all_0_8_8, op(e0, e0) = e4, yields: % 31.41/8.67 | (3534) all_0_8_8 = e4 % 31.41/8.67 | % 31.41/8.67 | Combining equations (5008,5543) yields a new equation: % 31.41/8.67 | (2623) all_0_16_16 = e4 % 31.41/8.67 | % 31.41/8.67 | Combining equations (5540,2621) yields a new equation: % 31.41/8.67 | (5548) all_0_38_38 = e2 % 31.41/8.67 | % 31.41/8.67 | Simplifying 5548 yields: % 31.41/8.67 | (5549) all_0_38_38 = e2 % 31.41/8.67 | % 31.41/8.67 | From (5536) and (2564) follows: % 31.41/8.67 | (1730) op(e4, e4) = e3 % 31.41/8.67 | % 31.41/8.67 | From (4204) and (2616) follows: % 31.41/8.68 | (3186) op(e4, e2) = e4 % 31.41/8.68 | % 31.41/8.68 | From (2620) and (2592) follows: % 31.41/8.68 | (22) op(e3, e3) = e4 % 31.41/8.68 | % 31.41/8.68 | From (5549) and (5473) follows: % 31.41/8.68 | (266) op(e3, e1) = e2 % 31.41/8.68 | % 31.41/8.68 | From (5541) and (5334) follows: % 31.41/8.68 | (2550) op(e2, e3) = e0 % 31.41/8.68 | % 31.41/8.68 | From (2622) and (2490) follows: % 31.41/8.68 | (83) op(e2, e2) = e3 % 31.41/8.68 | % 31.41/8.68 | From (2623) and (2611) follows: % 31.41/8.68 | (649) op(e1, e4) = e4 % 31.41/8.68 | % 31.41/8.68 | From (5545) and (5358) follows: % 31.64/8.68 | (582) op(e0, e4) = e2 % 31.64/8.68 | % 31.64/8.68 | From (3534) and (5359) follows: % 31.64/8.68 | (5006) op(e0, e0) = e4 % 31.64/8.68 | % 31.64/8.68 +-Applying beta-rule and splitting (62), into two cases. % 31.64/8.68 |-Branch one: % 31.64/8.68 | (631) unit = e2 % 31.64/8.68 | % 31.64/8.68 | From (631) and (232) follows: % 31.64/8.68 | (2714) op(e2, e3) = e3 % 31.64/8.68 | % 31.64/8.68 | From (631) and (98) follows: % 31.64/8.68 | (5015) op(e3, e2) = e3 % 31.64/8.68 | % 31.64/8.68 | From (631) and (74) follows: % 31.64/8.68 | (2715) op(e2, e2) = e2 % 31.64/8.68 | % 31.64/8.68 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 31.64/8.68 | (601) e3 = e1 % 31.64/8.68 | % 31.64/8.68 | Instantiating formula (29) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields: % 31.64/8.68 | (497) e3 = e0 % 31.64/8.68 | % 31.64/8.68 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 31.64/8.68 | (453) e3 = e2 % 31.64/8.68 | % 31.64/8.68 | Combining equations (601,453) yields a new equation: % 31.64/8.68 | (585) e2 = e1 % 31.64/8.68 | % 31.64/8.68 | Combining equations (497,453) yields a new equation: % 31.64/8.68 | (385) e2 = e0 % 31.64/8.68 | % 31.64/8.68 | Combining equations (385,585) yields a new equation: % 31.64/8.68 | (590) e1 = e0 % 31.64/8.68 | % 31.64/8.68 | Equations (590) can reduce 134 to: % 31.64/8.68 | (303) $false % 31.64/8.68 | % 31.64/8.68 |-The branch is then unsatisfiable % 31.64/8.68 |-Branch two: % 31.64/8.68 | (599) ~ (unit = e2) % 31.64/8.68 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 31.64/8.68 | % 31.64/8.68 +-Applying beta-rule and splitting (634), into two cases. % 31.64/8.68 |-Branch one: % 31.64/8.68 | (635) unit = e4 % 31.64/8.68 | % 31.64/8.68 | From (635) and (147) follows: % 31.64/8.68 | (1176) op(e4, e2) = e2 % 31.64/8.68 | % 31.64/8.68 | From (635) and (130) follows: % 31.64/8.68 | (1177) op(e4, e4) = e4 % 31.64/8.68 | % 31.64/8.68 | From (635) and (98) follows: % 31.64/8.68 | (2729) op(e3, e4) = e3 % 31.64/8.68 | % 31.64/8.68 | From (635) and (190) follows: % 31.64/8.68 | (1178) op(e1, e4) = e1 % 31.64/8.68 | % 31.64/8.68 | Instantiating formula (29) with e4, e4, e4, e3 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e3, yields: % 31.64/8.68 | (443) e4 = e3 % 31.64/8.68 | % 31.64/8.68 | Instantiating formula (29) with e4, e2, e2, e4 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 31.64/8.68 | (470) e4 = e2 % 31.64/8.68 | % 31.64/8.68 | Instantiating formula (29) with e3, e4, e3, e0 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e0, yields: % 31.64/8.68 | (497) e3 = e0 % 31.64/8.68 | % 31.64/8.68 | Instantiating formula (29) with e1, e4, e1, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields: % 31.64/8.68 | (541) e4 = e1 % 31.64/8.68 | % 31.64/8.68 | Combining equations (541,470) yields a new equation: % 31.64/8.68 | (585) e2 = e1 % 31.64/8.68 | % 31.64/8.68 | Combining equations (443,470) yields a new equation: % 31.64/8.68 | (452) e3 = e2 % 31.64/8.68 | % 31.64/8.68 | Simplifying 452 yields: % 31.64/8.68 | (453) e3 = e2 % 31.64/8.68 | % 31.64/8.68 | Combining equations (497,453) yields a new equation: % 31.64/8.68 | (385) e2 = e0 % 31.64/8.68 | % 31.64/8.68 | Combining equations (585,385) yields a new equation: % 31.64/8.68 | (670) e1 = e0 % 31.64/8.68 | % 31.64/8.68 | Simplifying 670 yields: % 31.64/8.68 | (590) e1 = e0 % 31.64/8.68 | % 31.64/8.68 | Equations (590) can reduce 134 to: % 31.64/8.68 | (303) $false % 31.64/8.68 | % 31.64/8.68 |-The branch is then unsatisfiable % 31.64/8.68 |-Branch two: % 31.64/8.68 | (484) ~ (unit = e4) % 31.64/8.68 | (647) unit = e3 | unit = e1 | unit = e0 % 31.64/8.68 | % 31.64/8.68 +-Applying beta-rule and splitting (647), into two cases. % 31.64/8.68 |-Branch one: % 31.64/8.68 | (648) unit = e1 % 31.64/8.68 | % 31.64/8.68 | Equations (648) can reduce 510 to: % 31.64/8.68 | (303) $false % 31.64/8.68 | % 31.64/8.68 |-The branch is then unsatisfiable % 31.64/8.68 |-Branch two: % 31.64/8.68 | (510) ~ (unit = e1) % 31.64/8.68 | (659) unit = e3 | unit = e0 % 31.64/8.68 | % 31.64/8.68 +-Applying beta-rule and splitting (659), into two cases. % 31.64/8.68 |-Branch one: % 31.64/8.68 | (660) unit = e0 % 31.64/8.68 | % 31.64/8.68 | Equations (660) can reduce 599 to: % 31.64/8.68 | (335) ~ (e2 = e0) % 31.64/8.68 | % 31.64/8.68 | Simplifying 335 yields: % 31.64/8.68 | (51) ~ (e2 = e0) % 31.64/8.68 | % 31.64/8.68 | From (660) and (17) follows: % 31.64/8.68 | (1195) op(e0, e4) = e4 % 31.64/8.68 | % 31.64/8.68 | From (660) and (111) follows: % 31.64/8.68 | (3633) op(e0, e0) = e0 % 31.64/8.68 | % 31.64/8.68 | Instantiating formula (29) with e0, e4, e4, e2 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e2, yields: % 31.64/8.68 | (470) e4 = e2 % 31.64/8.68 | % 31.64/8.68 | Instantiating formula (29) with e0, e0, e0, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields: % 31.64/8.68 | (654) e4 = e0 % 31.64/8.68 | % 31.64/8.68 | Combining equations (654,470) yields a new equation: % 31.64/8.68 | (385) e2 = e0 % 31.64/8.68 | % 31.64/8.68 | Equations (385) can reduce 51 to: % 31.64/8.68 | (303) $false % 31.64/8.68 | % 31.64/8.68 |-The branch is then unsatisfiable % 31.64/8.68 |-Branch two: % 31.64/8.68 | (537) ~ (unit = e0) % 31.64/8.68 | (674) unit = e3 % 31.64/8.68 | % 31.64/8.68 | From (674) and (17) follows: % 31.64/8.68 | (1207) op(e3, e4) = e4 % 31.64/8.68 | % 31.64/8.68 | From (674) and (38) follows: % 31.64/8.68 | (675) op(e3, e1) = e1 % 31.64/8.68 | % 31.64/8.68 | From (674) and (130) follows: % 31.64/8.68 | (2756) op(e4, e3) = e4 % 31.64/8.68 | % 31.64/8.68 | From (674) and (98) follows: % 31.64/8.68 | (1208) op(e3, e3) = e3 % 31.64/8.68 | % 31.64/8.68 | Instantiating formula (29) with e4, e3, e4, e2 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e2, yields: % 31.64/8.68 | (470) e4 = e2 % 31.64/8.68 | % 31.64/8.68 | Instantiating formula (29) with e3, e4, e4, e0 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e0, yields: % 31.64/8.68 | (654) e4 = e0 % 31.64/8.68 | % 31.64/8.68 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 31.64/8.68 | (443) e4 = e3 % 31.64/8.68 | % 31.64/8.68 | Instantiating formula (29) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 31.64/8.68 | (585) e2 = e1 % 31.64/8.68 | % 31.64/8.68 | Combining equations (654,443) yields a new equation: % 31.64/8.68 | (497) e3 = e0 % 31.64/8.68 | % 31.64/8.68 | Combining equations (470,443) yields a new equation: % 31.64/8.68 | (453) e3 = e2 % 31.64/8.68 | % 31.64/8.68 | Combining equations (453,497) yields a new equation: % 31.64/8.68 | (403) e2 = e0 % 31.64/8.68 | % 31.64/8.68 | Simplifying 403 yields: % 31.64/8.68 | (385) e2 = e0 % 31.64/8.68 | % 31.64/8.68 | Combining equations (385,585) yields a new equation: % 31.64/8.68 | (590) e1 = e0 % 31.64/8.68 | % 31.64/8.68 | Equations (590) can reduce 134 to: % 31.64/8.68 | (303) $false % 31.64/8.68 | % 31.64/8.68 |-The branch is then unsatisfiable % 31.64/8.68 |-Branch two: % 31.64/8.68 | (622) ~ (all_0_43_43 = e1) % 31.64/8.68 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 31.64/8.68 | % 31.64/8.68 +-Applying beta-rule and splitting (623), into two cases. % 31.64/8.68 |-Branch one: % 31.64/8.68 | (627) all_0_50_50 = e1 % 31.64/8.68 | % 31.64/8.68 | Equations (627) can reduce 678 to: % 31.64/8.68 | (303) $false % 31.64/8.68 | % 31.64/8.68 |-The branch is then unsatisfiable % 31.64/8.68 |-Branch two: % 31.64/8.68 | (678) ~ (all_0_50_50 = e1) % 31.64/8.68 | (600) all_0_59_59 = e1 % 31.64/8.68 | % 31.64/8.68 | Combining equations (600,456) yields a new equation: % 31.64/8.68 | (601) e3 = e1 % 31.64/8.68 | % 31.64/8.68 | Equations (601) can reduce 136 to: % 31.64/8.68 | (303) $false % 31.64/8.68 | % 31.64/8.68 |-The branch is then unsatisfiable % 31.64/8.68 |-Branch two: % 31.64/8.68 | (802) ~ (all_0_48_48 = e1) % 31.64/8.68 | (380) all_0_48_48 = e0 % 31.64/8.68 | % 31.64/8.68 | Equations (380) can reduce 292 to: % 31.64/8.68 | (303) $false % 31.64/8.68 | % 31.64/8.68 |-The branch is then unsatisfiable % 31.64/8.68 |-Branch two: % 31.64/8.68 | (594) ~ (all_0_56_56 = e2) % 31.64/8.68 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 31.64/8.68 | % 31.64/8.68 +-Applying beta-rule and splitting (979), into two cases. % 31.64/8.68 |-Branch one: % 31.64/8.68 | (877) all_0_56_56 = e4 % 31.64/8.68 | % 31.64/8.68 | Equations (877) can reduce 345 to: % 31.64/8.68 | (303) $false % 31.64/8.68 | % 31.64/8.68 |-The branch is then unsatisfiable % 31.64/8.68 |-Branch two: % 31.64/8.68 | (345) ~ (all_0_56_56 = e4) % 31.64/8.68 | (2325) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 31.64/8.68 | % 31.64/8.68 +-Applying beta-rule and splitting (2325), into two cases. % 31.64/8.68 |-Branch one: % 31.64/8.68 | (583) all_0_56_56 = e1 % 31.64/8.68 | % 31.64/8.68 | Equations (583) can reduce 587 to: % 31.64/8.68 | (303) $false % 31.64/8.68 | % 31.64/8.68 |-The branch is then unsatisfiable % 31.64/8.68 |-Branch two: % 31.64/8.68 | (587) ~ (all_0_56_56 = e1) % 31.64/8.68 | (2329) all_0_56_56 = e3 | all_0_56_56 = e0 % 31.64/8.68 | % 31.64/8.68 +-Applying beta-rule and splitting (2329), into two cases. % 31.64/8.68 |-Branch one: % 31.64/8.68 | (2307) all_0_56_56 = e0 % 31.64/8.68 | % 31.64/8.68 | Equations (2307) can reduce 296 to: % 31.64/8.68 | (303) $false % 31.64/8.68 | % 31.64/8.68 |-The branch is then unsatisfiable % 31.64/8.68 |-Branch two: % 31.64/8.68 | (296) ~ (all_0_56_56 = e0) % 31.64/8.68 | (1111) all_0_56_56 = e3 % 31.64/8.68 | % 31.64/8.68 | Equations (1111) can reduce 526 to: % 31.64/8.68 | (303) $false % 31.64/8.68 | % 31.64/8.68 |-The branch is then unsatisfiable % 31.64/8.68 |-Branch two: % 31.64/8.68 | (445) ~ (all_0_52_52 = e4) % 31.64/8.69 | (446) all_0_54_54 = e4 | all_0_55_55 = e4 % 31.64/8.69 | % 31.64/8.69 +-Applying beta-rule and splitting (446), into two cases. % 31.64/8.69 |-Branch one: % 31.64/8.69 | (469) all_0_54_54 = e4 % 31.64/8.69 | % 31.64/8.69 | Combining equations (469,271) yields a new equation: % 31.64/8.69 | (878) e4 = e2 % 31.64/8.69 | % 31.64/8.69 | Simplifying 878 yields: % 31.64/8.69 | (470) e4 = e2 % 31.64/8.69 | % 31.64/8.69 | Equations (470) can reduce 231 to: % 31.64/8.69 | (303) $false % 31.64/8.69 | % 31.64/8.69 |-The branch is then unsatisfiable % 31.64/8.69 |-Branch two: % 31.64/8.69 | (472) ~ (all_0_54_54 = e4) % 31.64/8.69 | (473) all_0_55_55 = e4 % 31.64/8.69 | % 31.64/8.69 | Combining equations (473,530) yields a new equation: % 31.64/8.69 | (540) e4 = e1 % 31.64/8.69 | % 31.64/8.69 | Simplifying 540 yields: % 31.64/8.69 | (541) e4 = e1 % 31.64/8.69 | % 31.64/8.69 | Equations (541) can reduce 247 to: % 31.64/8.69 | (303) $false % 31.64/8.69 | % 31.64/8.69 |-The branch is then unsatisfiable % 31.64/8.69 |-Branch two: % 31.64/8.69 | (624) all_0_40_40 = e1 % 31.64/8.69 | (614) all_0_43_43 = e4 % 31.64/8.69 | % 31.64/8.69 | Equations (614) can reduce 712 to: % 31.64/8.69 | (303) $false % 31.64/8.69 | % 31.64/8.69 |-The branch is then unsatisfiable % 31.64/8.69 |-Branch two: % 31.64/8.69 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 31.64/8.69 | % 31.64/8.69 | Applying alpha-rule on (514) yields: % 31.64/8.69 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 31.64/8.69 | (516) ~ (all_0_47_47 = e3) % 31.64/8.69 | (314) ~ (all_0_55_55 = e3) % 31.64/8.69 | (368) all_0_49_49 = e2 % 31.64/8.69 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 31.64/8.69 | (520) ~ (unit = e3) % 31.64/8.69 | (521) ~ (all_0_52_52 = e3) % 31.64/8.69 | (455) ~ (all_0_46_46 = e3) % 31.64/8.69 | (432) ~ (all_0_40_40 = e3) % 31.64/8.69 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 31.64/8.69 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 31.64/8.69 | (526) ~ (all_0_56_56 = e3) % 31.64/8.69 | % 31.64/8.69 | Combining equations (384,368) yields a new equation: % 31.64/8.69 | (385) e2 = e0 % 31.64/8.69 | % 31.64/8.69 | Equations (385) can reduce 51 to: % 31.64/8.69 | (303) $false % 31.64/8.69 | % 31.64/8.69 |-The branch is then unsatisfiable % 31.64/8.69 |-Branch two: % 31.64/8.69 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 31.64/8.69 | % 31.64/8.69 | Applying alpha-rule on (528) yields: % 31.64/8.69 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 31.64/8.69 | (530) all_0_55_55 = e1 % 31.64/8.69 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 31.64/8.69 | (387) ~ (all_0_49_49 = e0) % 31.64/8.69 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 31.64/8.69 | (534) ~ (all_0_45_45 = e0) % 31.64/8.69 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 31.64/8.69 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 31.64/8.69 | (537) ~ (unit = e0) % 31.64/8.69 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 31.64/8.69 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 31.64/8.69 | % 31.64/8.69 | Equations (384) can reduce 387 to: % 31.64/8.69 | (303) $false % 31.64/8.69 | % 31.64/8.69 |-The branch is then unsatisfiable % 31.64/8.69 |-Branch two: % 31.64/8.69 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 31.64/8.69 | % 31.64/8.69 | Applying alpha-rule on (543) yields: % 31.64/8.69 | (544) ~ (all_0_48_48 = e2) % 31.64/8.69 | (369) ~ (all_0_41_41 = e2) % 31.64/8.69 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 31.64/8.69 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 31.64/8.69 | (253) ~ (all_0_43_43 = e2) % 31.64/8.69 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 31.64/8.69 | (276) ~ (all_0_55_55 = e2) % 31.64/8.69 | (260) ~ (all_0_59_59 = e2) % 31.64/8.69 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 31.64/8.69 | (274) ~ (all_0_53_53 = e2) % 31.64/8.69 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 31.64/8.69 | (373) ~ (all_0_51_51 = e2) % 31.64/8.69 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 31.64/8.69 | (256) ~ (all_0_47_47 = e2) % 31.64/8.69 | (377) ~ (all_0_57_57 = e2) % 31.64/8.69 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 31.64/8.69 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 31.64/8.69 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 31.64/8.69 | (258) ~ (all_0_50_50 = e2) % 31.64/8.69 | (254) ~ (all_0_45_45 = e2) % 31.64/8.69 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 31.64/8.69 | % 31.64/8.69 | Equations (945) can reduce 369 to: % 31.64/8.69 | (303) $false % 31.64/8.69 | % 31.64/8.69 |-The branch is then unsatisfiable % 31.64/8.69 |-Branch two: % 31.64/8.69 | (330) ~ (all_0_44_44 = e0) % 31.64/8.69 | (2270) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_60_60 = e0 % 31.64/8.69 | % 31.64/8.69 +-Applying beta-rule and splitting (2270), into two cases. % 31.64/8.69 |-Branch one: % 31.64/8.69 | (306) all_0_47_47 = e0 % 31.64/8.69 | % 31.64/8.69 | Combining equations (309,306) yields a new equation: % 31.64/8.69 | (496) e3 = e0 % 31.64/8.69 | % 31.64/8.69 | Simplifying 496 yields: % 31.64/8.69 | (497) e3 = e0 % 31.64/8.69 | % 31.64/8.69 | Equations (497) can reduce 70 to: % 31.64/8.69 | (303) $false % 31.64/8.69 | % 31.64/8.69 |-The branch is then unsatisfiable % 31.64/8.69 |-Branch two: % 31.64/8.69 | (290) ~ (all_0_47_47 = e0) % 31.64/8.69 | (2342) all_0_51_51 = e0 | all_0_60_60 = e0 % 31.64/8.69 | % 31.64/8.69 | Equations (309) can reduce 290 to: % 31.64/8.69 | (70) ~ (e3 = e0) % 31.64/8.69 | % 31.64/8.69 +-Applying beta-rule and splitting (56), into two cases. % 31.64/8.69 |-Branch one: % 31.64/8.69 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 31.64/8.69 | % 31.64/8.69 +-Applying beta-rule and splitting (480), into two cases. % 31.64/8.69 |-Branch one: % 31.64/8.69 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 31.64/8.69 | % 31.64/8.69 +-Applying beta-rule and splitting (481), into two cases. % 31.64/8.69 |-Branch one: % 31.64/8.69 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 31.64/8.69 | % 31.64/8.69 +-Applying beta-rule and splitting (482), into two cases. % 31.64/8.69 |-Branch one: % 31.64/8.69 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 31.64/8.69 | % 31.64/8.69 | Applying alpha-rule on (483) yields: % 31.64/8.69 | (484) ~ (unit = e4) % 31.64/8.69 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 31.64/8.69 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 31.64/8.69 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 31.64/8.69 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 31.64/8.69 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 31.64/8.69 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 31.64/8.69 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 31.64/8.69 | (492) ~ (all_0_55_55 = e4) % 31.64/8.69 | (493) all_0_45_45 = e3 % 31.64/8.69 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 31.64/8.69 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 31.64/8.69 | % 31.64/8.69 | Combining equations (493,287) yields a new equation: % 31.64/8.69 | (496) e3 = e0 % 31.64/8.69 | % 31.64/8.69 | Simplifying 496 yields: % 31.64/8.69 | (497) e3 = e0 % 31.64/8.69 | % 31.64/8.69 | Equations (497) can reduce 70 to: % 31.64/8.69 | (303) $false % 31.64/8.69 | % 31.64/8.69 |-The branch is then unsatisfiable % 31.64/8.69 |-Branch two: % 31.64/8.69 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 31.64/8.69 | % 31.64/8.69 | Applying alpha-rule on (499) yields: % 31.64/8.69 | (500) ~ (all_0_51_51 = e1) % 31.64/8.69 | (501) ~ (all_0_60_60 = e1) % 31.64/8.69 | (502) ~ (all_0_52_52 = e1) % 31.64/8.69 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 31.64/8.69 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 31.64/8.69 | (252) all_0_46_46 = e2 % 31.64/8.69 | (506) ~ (all_0_49_49 = e1) % 31.64/8.69 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 31.64/8.69 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 31.64/8.69 | (509) ~ (all_0_53_53 = e1) % 31.64/8.69 | (510) ~ (unit = e1) % 31.64/8.69 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 31.64/8.69 | (512) ~ (all_0_44_44 = e1) % 31.64/8.69 | % 31.64/8.69 +-Applying beta-rule and splitting (363), into two cases. % 31.64/8.69 |-Branch one: % 31.64/8.69 | (462) all_0_53_53 = e1 % 31.64/8.69 | % 31.64/8.69 | Equations (462) can reduce 509 to: % 31.64/8.69 | (303) $false % 31.64/8.69 | % 31.64/8.69 |-The branch is then unsatisfiable % 31.64/8.69 |-Branch two: % 31.64/8.69 | (509) ~ (all_0_53_53 = e1) % 31.64/8.69 | (994) all_0_53_53 = e3 % 31.64/8.69 | % 31.64/8.69 | Equations (994) can reduce 77 to: % 31.64/8.69 | (521) ~ (all_0_52_52 = e3) % 31.64/8.69 | % 31.64/8.69 +-Applying beta-rule and splitting (24), into two cases. % 31.64/8.69 |-Branch one: % 31.64/8.69 | (980) all_0_52_52 = e2 % 31.64/8.69 | % 31.64/8.69 | Equations (980) can reduce 273 to: % 31.64/8.69 | (303) $false % 31.64/8.69 | % 31.64/8.69 |-The branch is then unsatisfiable % 31.64/8.69 |-Branch two: % 31.64/8.69 | (273) ~ (all_0_52_52 = e2) % 31.64/8.69 | (1772) all_0_52_52 = e4 | all_0_52_52 = e3 | all_0_52_52 = e1 % 31.64/8.69 | % 31.64/8.69 +-Applying beta-rule and splitting (1772), into two cases. % 31.64/8.69 |-Branch one: % 31.64/8.69 | (442) all_0_52_52 = e4 % 31.64/8.69 | % 31.64/8.69 | Equations (442) can reduce 78 to: % 31.64/8.69 | (4) ~ (e4 = e0) % 31.64/8.69 | % 31.64/8.69 +-Applying beta-rule and splitting (63), into two cases. % 31.64/8.69 |-Branch one: % 31.64/8.69 | (2834) all_0_40_40 = e0 % 31.64/8.69 | % 31.64/8.69 | Equations (2834) can reduce 288 to: % 31.64/8.69 | (303) $false % 31.64/8.69 | % 31.64/8.69 |-The branch is then unsatisfiable % 31.64/8.69 |-Branch two: % 31.64/8.69 | (288) ~ (all_0_40_40 = e0) % 31.64/8.70 | (5766) all_0_41_41 = e0 | all_0_42_42 = e0 | all_0_44_44 = e0 % 31.64/8.70 | % 31.64/8.70 +-Applying beta-rule and splitting (5766), into two cases. % 31.64/8.70 |-Branch one: % 31.64/8.70 | (398) all_0_41_41 = e0 % 31.64/8.70 | % 31.64/8.70 | Combining equations (945,398) yields a new equation: % 31.64/8.70 | (403) e2 = e0 % 31.64/8.70 | % 31.64/8.70 | Simplifying 403 yields: % 31.64/8.70 | (385) e2 = e0 % 31.64/8.70 | % 31.64/8.70 | Equations (385) can reduce 51 to: % 31.64/8.70 | (303) $false % 31.64/8.70 | % 31.64/8.70 |-The branch is then unsatisfiable % 31.64/8.70 |-Branch two: % 31.64/8.70 | (326) ~ (all_0_41_41 = e0) % 31.64/8.70 | (5772) all_0_42_42 = e0 | all_0_44_44 = e0 % 31.64/8.70 | % 31.64/8.70 +-Applying beta-rule and splitting (5772), into two cases. % 31.64/8.70 |-Branch one: % 31.64/8.70 | (324) all_0_42_42 = e0 % 31.64/8.70 | % 31.64/8.70 | Combining equations (3175,324) yields a new equation: % 31.64/8.70 | (1573) e4 = e0 % 31.64/8.70 | % 31.64/8.70 | Simplifying 1573 yields: % 31.64/8.70 | (654) e4 = e0 % 31.64/8.70 | % 31.64/8.70 | Equations (654) can reduce 4 to: % 31.64/8.70 | (303) $false % 31.64/8.70 | % 31.64/8.70 |-The branch is then unsatisfiable % 31.64/8.70 |-Branch two: % 31.64/8.70 | (3164) ~ (all_0_42_42 = e0) % 31.64/8.70 | (2078) all_0_44_44 = e0 % 31.64/8.70 | % 31.64/8.70 | Equations (2078) can reduce 330 to: % 31.64/8.70 | (303) $false % 31.64/8.70 | % 31.64/8.70 |-The branch is then unsatisfiable % 31.64/8.70 |-Branch two: % 31.64/8.70 | (445) ~ (all_0_52_52 = e4) % 31.64/8.70 | (1795) all_0_52_52 = e3 | all_0_52_52 = e1 % 31.64/8.70 | % 31.64/8.70 +-Applying beta-rule and splitting (1795), into two cases. % 31.64/8.70 |-Branch one: % 31.64/8.70 | (1070) all_0_52_52 = e1 % 31.64/8.70 | % 31.64/8.70 | Equations (1070) can reduce 502 to: % 31.64/8.70 | (303) $false % 31.64/8.70 | % 31.64/8.70 |-The branch is then unsatisfiable % 31.64/8.70 |-Branch two: % 31.64/8.70 | (502) ~ (all_0_52_52 = e1) % 31.64/8.70 | (425) all_0_52_52 = e3 % 31.64/8.70 | % 31.64/8.70 | Equations (425) can reduce 521 to: % 31.64/8.70 | (303) $false % 31.64/8.70 | % 31.64/8.70 |-The branch is then unsatisfiable % 31.64/8.70 |-Branch two: % 31.64/8.70 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 31.64/8.70 | % 31.64/8.70 | Applying alpha-rule on (514) yields: % 31.64/8.70 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 31.64/8.70 | (516) ~ (all_0_47_47 = e3) % 31.64/8.70 | (314) ~ (all_0_55_55 = e3) % 31.64/8.70 | (368) all_0_49_49 = e2 % 31.64/8.70 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 31.64/8.70 | (520) ~ (unit = e3) % 31.64/8.70 | (521) ~ (all_0_52_52 = e3) % 31.64/8.70 | (455) ~ (all_0_46_46 = e3) % 31.64/8.70 | (432) ~ (all_0_40_40 = e3) % 31.64/8.70 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 31.64/8.70 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 31.64/8.70 | (526) ~ (all_0_56_56 = e3) % 31.64/8.70 | % 31.64/8.70 | Combining equations (384,368) yields a new equation: % 31.64/8.70 | (385) e2 = e0 % 31.64/8.70 | % 31.64/8.70 | Equations (385) can reduce 51 to: % 31.64/8.70 | (303) $false % 31.64/8.70 | % 31.64/8.70 |-The branch is then unsatisfiable % 31.64/8.70 |-Branch two: % 31.64/8.70 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 31.64/8.70 | % 31.64/8.70 | Applying alpha-rule on (528) yields: % 31.64/8.70 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 31.64/8.70 | (530) all_0_55_55 = e1 % 31.64/8.70 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 31.64/8.70 | (387) ~ (all_0_49_49 = e0) % 31.64/8.70 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 31.64/8.70 | (534) ~ (all_0_45_45 = e0) % 31.64/8.70 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 31.64/8.70 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 31.64/8.70 | (537) ~ (unit = e0) % 31.64/8.70 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 31.64/8.70 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 31.64/8.70 | % 31.64/8.70 | Equations (384) can reduce 387 to: % 31.64/8.70 | (303) $false % 31.64/8.70 | % 31.64/8.70 |-The branch is then unsatisfiable % 31.64/8.70 |-Branch two: % 31.64/8.70 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 31.64/8.70 | % 31.64/8.70 | Applying alpha-rule on (543) yields: % 31.64/8.70 | (544) ~ (all_0_48_48 = e2) % 31.64/8.70 | (369) ~ (all_0_41_41 = e2) % 31.64/8.70 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 31.64/8.70 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 31.64/8.70 | (253) ~ (all_0_43_43 = e2) % 31.64/8.70 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 31.64/8.70 | (276) ~ (all_0_55_55 = e2) % 31.64/8.70 | (260) ~ (all_0_59_59 = e2) % 31.64/8.70 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 31.64/8.70 | (274) ~ (all_0_53_53 = e2) % 31.64/8.70 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 31.64/8.70 | (373) ~ (all_0_51_51 = e2) % 31.64/8.70 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 31.64/8.70 | (256) ~ (all_0_47_47 = e2) % 31.64/8.70 | (377) ~ (all_0_57_57 = e2) % 31.64/8.70 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 31.64/8.70 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 31.64/8.70 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 31.64/8.70 | (258) ~ (all_0_50_50 = e2) % 31.64/8.70 | (254) ~ (all_0_45_45 = e2) % 31.64/8.70 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 31.64/8.70 | % 31.64/8.70 | Equations (945) can reduce 369 to: % 31.64/8.70 | (303) $false % 31.64/8.70 | % 31.64/8.70 |-The branch is then unsatisfiable % 31.64/8.70 |-Branch two: % 31.64/8.70 | (387) ~ (all_0_49_49 = e0) % 31.64/8.70 | (407) all_0_57_57 = e0 % 31.64/8.70 | % 31.64/8.70 | Equations (407) can reduce 2273 to: % 31.64/8.70 | (303) $false % 31.64/8.70 | % 31.64/8.70 |-The branch is then unsatisfiable % 31.64/8.70 |-Branch two: % 31.64/8.70 | (369) ~ (all_0_41_41 = e2) % 31.64/8.70 | (2863) all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_57_57 = e2 % 31.64/8.70 | % 31.64/8.70 +-Applying beta-rule and splitting (2863), into two cases. % 31.64/8.70 |-Branch one: % 31.64/8.70 | (368) all_0_49_49 = e2 % 31.64/8.70 | % 31.64/8.70 | Equations (368) can reduce 2167 to: % 31.64/8.70 | (303) $false % 31.64/8.70 | % 31.64/8.70 |-The branch is then unsatisfiable % 31.64/8.70 |-Branch two: % 31.64/8.70 | (2167) ~ (all_0_49_49 = e2) % 31.64/8.70 | (5846) all_0_53_53 = e2 | all_0_57_57 = e2 % 31.64/8.70 | % 31.64/8.70 +-Applying beta-rule and splitting (5846), into two cases. % 31.64/8.70 |-Branch one: % 31.64/8.70 | (360) all_0_53_53 = e2 % 31.64/8.70 | % 31.64/8.70 | Equations (360) can reduce 274 to: % 31.64/8.70 | (303) $false % 31.64/8.70 | % 31.64/8.70 |-The branch is then unsatisfiable % 31.64/8.70 |-Branch two: % 31.64/8.70 | (274) ~ (all_0_53_53 = e2) % 31.64/8.70 | (897) all_0_57_57 = e2 % 31.64/8.70 | % 31.64/8.70 | Equations (897) can reduce 226 to: % 31.64/8.70 | (2167) ~ (all_0_49_49 = e2) % 31.64/8.70 | % 31.64/8.70 | Equations (897) can reduce 251 to: % 31.64/8.70 | (274) ~ (all_0_53_53 = e2) % 31.64/8.70 | % 31.64/8.70 | Equations (897) can reduce 172 to: % 31.64/8.70 | (594) ~ (all_0_56_56 = e2) % 31.64/8.70 | % 31.64/8.70 | Equations (897) can reduce 222 to: % 31.64/8.70 | (259) ~ (all_0_59_59 = e2) % 31.64/8.70 | % 31.64/8.70 | Simplifying 259 yields: % 31.64/8.70 | (260) ~ (all_0_59_59 = e2) % 31.64/8.70 | % 31.64/8.70 | Equations (897) can reduce 81 to: % 31.64/8.70 | (573) ~ (all_0_60_60 = e2) % 31.64/8.70 | % 31.64/8.70 | Simplifying 573 yields: % 31.64/8.70 | (571) ~ (all_0_60_60 = e2) % 31.64/8.70 | % 31.64/8.70 | Equations (897) can reduce 202 to: % 31.64/8.70 | (261) ~ (e4 = e2) % 31.64/8.70 | % 31.64/8.70 | Simplifying 261 yields: % 31.64/8.70 | (231) ~ (e4 = e2) % 31.64/8.70 | % 31.64/8.70 | From (897) and (35) follows: % 31.64/8.70 | (5860) op(e2, e3) = all_0_34_34 % 31.64/8.70 | % 31.64/8.70 | From (897) and (5) follows: % 31.64/8.70 | (2880) op(e0, e3) = e2 % 31.64/8.70 | % 31.64/8.70 +-Applying beta-rule and splitting (56), into two cases. % 31.64/8.70 |-Branch one: % 31.64/8.70 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 31.64/8.70 | % 31.64/8.70 +-Applying beta-rule and splitting (480), into two cases. % 31.64/8.70 |-Branch one: % 31.64/8.70 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 31.64/8.70 | % 31.64/8.70 +-Applying beta-rule and splitting (481), into two cases. % 31.64/8.70 |-Branch one: % 31.64/8.70 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 31.64/8.70 | % 31.64/8.70 +-Applying beta-rule and splitting (482), into two cases. % 31.64/8.70 |-Branch one: % 31.64/8.70 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 31.64/8.71 | % 31.64/8.71 | Applying alpha-rule on (483) yields: % 31.64/8.71 | (484) ~ (unit = e4) % 31.64/8.71 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 31.64/8.71 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 31.64/8.71 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 31.64/8.71 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 31.64/8.71 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 31.64/8.71 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 31.64/8.71 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 31.64/8.71 | (492) ~ (all_0_55_55 = e4) % 31.64/8.71 | (493) all_0_45_45 = e3 % 31.64/8.71 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 31.64/8.71 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 31.64/8.71 | % 31.64/8.71 | Combining equations (287,493) yields a new equation: % 31.64/8.71 | (497) e3 = e0 % 31.64/8.71 | % 31.64/8.71 | Equations (497) can reduce 70 to: % 31.64/8.71 | (303) $false % 31.64/8.71 | % 31.64/8.71 |-The branch is then unsatisfiable % 31.64/8.71 |-Branch two: % 31.64/8.71 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 31.64/8.71 | % 31.64/8.71 | Applying alpha-rule on (499) yields: % 31.64/8.71 | (500) ~ (all_0_51_51 = e1) % 31.64/8.71 | (501) ~ (all_0_60_60 = e1) % 31.64/8.71 | (502) ~ (all_0_52_52 = e1) % 31.64/8.71 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 31.64/8.71 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 31.64/8.71 | (252) all_0_46_46 = e2 % 31.64/8.71 | (506) ~ (all_0_49_49 = e1) % 31.64/8.71 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 31.64/8.71 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 31.64/8.71 | (509) ~ (all_0_53_53 = e1) % 31.64/8.71 | (510) ~ (unit = e1) % 31.64/8.71 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 31.64/8.71 | (512) ~ (all_0_44_44 = e1) % 31.64/8.71 | % 31.64/8.71 +-Applying beta-rule and splitting (2168), into two cases. % 31.64/8.71 |-Branch one: % 31.64/8.71 | (1580) all_0_49_49 = e1 % 31.64/8.71 | % 31.64/8.71 | Equations (1580) can reduce 506 to: % 31.64/8.71 | (303) $false % 31.64/8.71 | % 31.64/8.71 |-The branch is then unsatisfiable % 31.64/8.71 |-Branch two: % 31.64/8.71 | (506) ~ (all_0_49_49 = e1) % 31.64/8.71 | (384) all_0_49_49 = e0 % 31.64/8.71 | % 31.64/8.71 | Equations (384) can reduce 177 to: % 31.64/8.71 | (326) ~ (all_0_41_41 = e0) % 31.64/8.71 | % 31.64/8.71 | Equations (384) can reduce 2167 to: % 31.64/8.71 | (335) ~ (e2 = e0) % 31.64/8.71 | % 31.64/8.71 | Simplifying 335 yields: % 31.64/8.71 | (51) ~ (e2 = e0) % 31.64/8.71 | % 31.64/8.71 | From (384) and (65) follows: % 31.64/8.71 | (2548) op(e0, e3) = all_0_18_18 % 31.64/8.71 | % 31.64/8.71 | From (384) and (94) follows: % 31.64/8.71 | (2550) op(e2, e3) = e0 % 31.64/8.71 | % 31.64/8.71 +-Applying beta-rule and splitting (85), into two cases. % 31.64/8.71 |-Branch one: % 31.64/8.71 | (1070) all_0_52_52 = e1 % 31.64/8.71 | % 31.64/8.71 | Equations (1070) can reduce 502 to: % 31.64/8.71 | (303) $false % 31.64/8.71 | % 31.64/8.71 |-The branch is then unsatisfiable % 31.64/8.71 |-Branch two: % 31.64/8.71 | (502) ~ (all_0_52_52 = e1) % 31.64/8.71 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 31.64/8.71 | % 31.64/8.71 +-Applying beta-rule and splitting (1073), into two cases. % 31.64/8.71 |-Branch one: % 31.64/8.71 | (462) all_0_53_53 = e1 % 31.64/8.71 | % 31.64/8.71 | Equations (462) can reduce 509 to: % 31.64/8.71 | (303) $false % 31.64/8.71 | % 31.64/8.71 |-The branch is then unsatisfiable % 31.64/8.71 |-Branch two: % 31.64/8.71 | (509) ~ (all_0_53_53 = e1) % 31.64/8.71 | (530) all_0_55_55 = e1 % 31.64/8.71 | % 31.64/8.71 | Equations (530) can reduce 159 to: % 31.64/8.71 | (1050) ~ (all_0_60_60 = e1) % 31.64/8.71 | % 31.64/8.71 | Simplifying 1050 yields: % 31.64/8.71 | (501) ~ (all_0_60_60 = e1) % 31.64/8.71 | % 31.64/8.71 | Equations (530) can reduce 314 to: % 31.64/8.71 | (465) ~ (e3 = e1) % 31.64/8.71 | % 31.64/8.71 | Simplifying 465 yields: % 31.64/8.71 | (136) ~ (e3 = e1) % 31.64/8.71 | % 31.64/8.71 | Equations (530) can reduce 276 to: % 31.64/8.71 | (565) ~ (e2 = e1) % 31.64/8.71 | % 31.64/8.71 | Simplifying 565 yields: % 31.64/8.71 | (144) ~ (e2 = e1) % 31.64/8.71 | % 31.64/8.71 +-Applying beta-rule and splitting (6), into two cases. % 31.64/8.71 |-Branch one: % 31.64/8.71 | (442) all_0_52_52 = e4 % 31.64/8.71 | % 31.64/8.71 | Equations (442) can reduce 273 to: % 31.64/8.71 | (231) ~ (e4 = e2) % 31.64/8.71 | % 31.64/8.71 | Equations (442) can reduce 78 to: % 31.64/8.71 | (4) ~ (e4 = e0) % 31.64/8.71 | % 31.64/8.71 | From (442) and (156) follows: % 31.64/8.71 | (5920) op(e4, e1) = all_0_23_23 % 31.64/8.71 | % 31.64/8.71 +-Applying beta-rule and splitting (63), into two cases. % 31.64/8.71 |-Branch one: % 31.64/8.71 | (2834) all_0_40_40 = e0 % 31.64/8.71 | % 31.64/8.71 | Equations (2834) can reduce 288 to: % 31.64/8.71 | (303) $false % 31.64/8.71 | % 31.64/8.71 |-The branch is then unsatisfiable % 31.64/8.71 |-Branch two: % 31.64/8.71 | (288) ~ (all_0_40_40 = e0) % 31.64/8.71 | (5766) all_0_41_41 = e0 | all_0_42_42 = e0 | all_0_44_44 = e0 % 31.64/8.71 | % 31.64/8.71 +-Applying beta-rule and splitting (64), into two cases. % 31.64/8.71 |-Branch one: % 31.64/8.71 | (425) all_0_52_52 = e3 % 31.64/8.71 | % 31.64/8.71 | Combining equations (425,442) yields a new equation: % 31.64/8.71 | (443) e4 = e3 % 31.64/8.71 | % 31.64/8.71 | Equations (443) can reduce 30 to: % 31.64/8.71 | (303) $false % 31.64/8.71 | % 31.64/8.71 |-The branch is then unsatisfiable % 31.64/8.71 |-Branch two: % 31.64/8.71 | (521) ~ (all_0_52_52 = e3) % 31.64/8.71 | (1006) all_0_53_53 = e3 | all_0_55_55 = e3 % 31.64/8.71 | % 31.64/8.71 +-Applying beta-rule and splitting (5766), into two cases. % 31.64/8.71 |-Branch one: % 31.64/8.71 | (398) all_0_41_41 = e0 % 31.64/8.71 | % 31.64/8.71 | Equations (398) can reduce 326 to: % 31.64/8.71 | (303) $false % 31.64/8.71 | % 31.64/8.71 |-The branch is then unsatisfiable % 31.64/8.71 |-Branch two: % 31.64/8.71 | (326) ~ (all_0_41_41 = e0) % 31.64/8.71 | (5772) all_0_42_42 = e0 | all_0_44_44 = e0 % 31.64/8.71 | % 31.64/8.71 +-Applying beta-rule and splitting (1006), into two cases. % 31.64/8.71 |-Branch one: % 31.64/8.71 | (994) all_0_53_53 = e3 % 31.64/8.71 | % 31.64/8.71 | Equations (994) can reduce 121 to: % 31.64/8.71 | (996) ~ (all_0_41_41 = e3) % 31.64/8.71 | % 31.64/8.71 | Equations (994) can reduce 274 to: % 31.64/8.71 | (223) ~ (e3 = e2) % 31.64/8.71 | % 31.64/8.71 | From (994) and (54) follows: % 31.64/8.71 | (2593) op(e3, e1) = all_0_25_25 % 31.64/8.71 | % 31.64/8.71 +-Applying beta-rule and splitting (5772), into two cases. % 31.64/8.71 |-Branch one: % 31.64/8.71 | (324) all_0_42_42 = e0 % 31.64/8.71 | % 31.64/8.71 | Combining equations (3175,324) yields a new equation: % 31.64/8.71 | (1573) e4 = e0 % 31.64/8.71 | % 31.64/8.71 | Simplifying 1573 yields: % 31.64/8.71 | (654) e4 = e0 % 31.64/8.71 | % 31.64/8.71 | Equations (654) can reduce 4 to: % 31.64/8.71 | (303) $false % 31.64/8.71 | % 31.64/8.71 |-The branch is then unsatisfiable % 31.64/8.71 |-Branch two: % 31.64/8.71 | (3164) ~ (all_0_42_42 = e0) % 31.64/8.71 | (2078) all_0_44_44 = e0 % 31.64/8.71 | % 31.64/8.71 | Equations (2078) can reduce 176 to: % 31.64/8.71 | (326) ~ (all_0_41_41 = e0) % 31.64/8.71 | % 31.64/8.71 | Equations (2078) can reduce 161 to: % 31.64/8.71 | (5945) ~ (all_0_51_51 = e0) % 31.64/8.71 | % 31.64/8.71 | Simplifying 5945 yields: % 31.64/8.71 | (2347) ~ (all_0_51_51 = e0) % 31.64/8.71 | % 31.64/8.71 | Equations (2078) can reduce 165 to: % 31.64/8.71 | (413) ~ (all_0_60_60 = e0) % 31.64/8.71 | % 31.64/8.71 | Simplifying 413 yields: % 31.64/8.71 | (414) ~ (all_0_60_60 = e0) % 31.64/8.71 | % 31.64/8.71 | Equations (2078) can reduce 310 to: % 31.64/8.71 | (333) ~ (e3 = e0) % 31.64/8.71 | % 31.64/8.71 | Simplifying 333 yields: % 31.64/8.71 | (70) ~ (e3 = e0) % 31.64/8.71 | % 31.64/8.71 | From (2078) and (235) follows: % 31.64/8.71 | (5358) op(e0, e4) = all_0_7_7 % 31.64/8.71 | % 31.64/8.71 | From (2078) and (128) follows: % 31.64/8.71 | (5359) op(e0, e0) = all_0_8_8 % 31.64/8.71 | % 31.64/8.71 +-Applying beta-rule and splitting (112), into two cases. % 31.64/8.71 |-Branch one: % 31.64/8.71 | (572) all_0_44_44 = e2 % 31.64/8.71 | % 31.64/8.71 | Combining equations (2078,572) yields a new equation: % 31.64/8.71 | (385) e2 = e0 % 31.64/8.71 | % 31.64/8.71 | Equations (385) can reduce 51 to: % 31.64/8.71 | (303) $false % 31.64/8.71 | % 31.64/8.71 |-The branch is then unsatisfiable % 31.64/8.71 |-Branch two: % 31.64/8.71 | (915) ~ (all_0_44_44 = e2) % 31.64/8.71 | (916) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 31.64/8.71 | % 31.64/8.71 +-Applying beta-rule and splitting (916), into two cases. % 31.64/8.71 |-Branch one: % 31.64/8.71 | (302) all_0_47_47 = e2 % 31.64/8.71 | % 31.64/8.71 | Combining equations (309,302) yields a new equation: % 31.64/8.71 | (452) e3 = e2 % 31.64/8.71 | % 31.64/8.71 | Simplifying 452 yields: % 31.64/8.71 | (453) e3 = e2 % 31.64/8.71 | % 31.64/8.71 | Equations (453) can reduce 223 to: % 31.64/8.71 | (303) $false % 31.64/8.71 | % 31.64/8.71 |-The branch is then unsatisfiable % 31.64/8.71 |-Branch two: % 31.64/8.71 | (256) ~ (all_0_47_47 = e2) % 31.64/8.71 | (926) all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 31.64/8.71 | % 31.64/8.71 +-Applying beta-rule and splitting (926), into two cases. % 31.64/8.71 |-Branch one: % 31.64/8.71 | (927) all_0_51_51 = e2 % 31.64/8.71 | % 31.64/8.71 | Equations (927) can reduce 127 to: % 31.64/8.71 | (544) ~ (all_0_48_48 = e2) % 31.64/8.71 | % 31.64/8.71 | Equations (927) can reduce 95 to: % 31.64/8.71 | (573) ~ (all_0_60_60 = e2) % 31.64/8.71 | % 31.64/8.71 | Simplifying 573 yields: % 31.64/8.71 | (571) ~ (all_0_60_60 = e2) % 31.64/8.71 | % 31.64/8.71 | Equations (927) can reduce 32 to: % 31.64/8.71 | (577) ~ (e3 = e2) % 31.64/8.71 | % 31.64/8.71 | Simplifying 577 yields: % 31.64/8.71 | (223) ~ (e3 = e2) % 31.64/8.71 | % 31.64/8.71 | Equations (927) can reduce 2347 to: % 31.64/8.71 | (51) ~ (e2 = e0) % 31.64/8.71 | % 31.64/8.71 | From (927) and (122) follows: % 31.64/8.71 | (2490) op(e2, e2) = all_0_21_21 % 31.64/8.71 | % 31.64/8.71 +-Applying beta-rule and splitting (212), into two cases. % 31.64/8.71 |-Branch one: % 31.64/8.71 | (727) all_0_48_48 = e2 % 31.64/8.71 | % 31.64/8.71 | Equations (727) can reduce 544 to: % 31.64/8.71 | (303) $false % 31.64/8.71 | % 31.64/8.71 |-The branch is then unsatisfiable % 31.64/8.71 |-Branch two: % 31.64/8.71 | (544) ~ (all_0_48_48 = e2) % 31.64/8.71 | (730) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 31.64/8.71 | % 31.64/8.71 +-Applying beta-rule and splitting (96), into two cases. % 31.64/8.71 |-Branch one: % 31.64/8.71 | (917) all_0_40_40 = e2 % 31.64/8.71 | % 31.64/8.71 | Equations (917) can reduce 151 to: % 31.64/8.71 | (5977) ~ (all_0_41_41 = e2) % 31.64/8.71 | % 31.64/8.71 | Simplifying 5977 yields: % 31.64/8.71 | (369) ~ (all_0_41_41 = e2) % 31.64/8.71 | % 31.64/8.71 | Equations (917) can reduce 8 to: % 31.64/8.71 | (2639) ~ (all_0_43_43 = e2) % 31.64/8.71 | % 31.64/8.71 | Simplifying 2639 yields: % 31.64/8.71 | (253) ~ (all_0_43_43 = e2) % 31.64/8.71 | % 31.64/8.71 +-Applying beta-rule and splitting (200), into two cases. % 31.64/8.71 |-Branch one: % 31.64/8.71 | (1102) all_0_40_40 = e3 % 31.64/8.71 | % 31.64/8.71 | Combining equations (917,1102) yields a new equation: % 31.64/8.71 | (453) e3 = e2 % 31.64/8.71 | % 31.64/8.71 | Equations (453) can reduce 223 to: % 31.64/8.71 | (303) $false % 31.64/8.71 | % 31.64/8.71 |-The branch is then unsatisfiable % 31.64/8.71 |-Branch two: % 31.64/8.71 | (432) ~ (all_0_40_40 = e3) % 31.64/8.71 | (2138) all_0_41_41 = e3 | all_0_43_43 = e3 | all_0_44_44 = e3 % 31.64/8.71 | % 31.64/8.71 +-Applying beta-rule and splitting (2138), into two cases. % 31.64/8.71 |-Branch one: % 31.64/8.71 | (431) all_0_41_41 = e3 % 31.64/8.71 | % 31.64/8.71 | Equations (431) can reduce 996 to: % 31.64/8.71 | (303) $false % 31.64/8.71 | % 31.64/8.71 |-The branch is then unsatisfiable % 31.64/8.71 |-Branch two: % 31.64/8.71 | (996) ~ (all_0_41_41 = e3) % 31.64/8.71 | (5989) all_0_43_43 = e3 | all_0_44_44 = e3 % 31.64/8.71 | % 31.64/8.71 +-Applying beta-rule and splitting (5989), into two cases. % 31.64/8.71 |-Branch one: % 31.64/8.71 | (447) all_0_43_43 = e3 % 31.64/8.71 | % 31.64/8.71 | Equations (447) can reduce 43 to: % 31.64/8.71 | (996) ~ (all_0_41_41 = e3) % 31.64/8.71 | % 31.64/8.71 | Equations (447) can reduce 249 to: % 31.64/8.71 | (1030) ~ (all_0_59_59 = e3) % 31.64/8.71 | % 31.64/8.72 | Simplifying 1030 yields: % 31.64/8.72 | (1031) ~ (all_0_59_59 = e3) % 31.64/8.72 | % 31.64/8.72 | Equations (447) can reduce 253 to: % 31.64/8.72 | (223) ~ (e3 = e2) % 31.64/8.72 | % 31.64/8.72 | From (447) and (99) follows: % 31.64/8.72 | (3298) op(e3, e1) = all_0_6_6 % 31.64/8.72 | % 31.64/8.72 | From (447) and (19) follows: % 31.64/8.72 | (3299) op(e4, e1) = e3 % 31.64/8.72 | % 31.64/8.72 +-Applying beta-rule and splitting (220), into two cases. % 31.64/8.72 |-Branch one: % 31.64/8.72 | (913) all_0_60_60 = e2 % 31.64/8.72 | % 31.64/8.72 | Equations (913) can reduce 571 to: % 31.64/8.72 | (303) $false % 31.64/8.72 | % 31.64/8.72 |-The branch is then unsatisfiable % 31.64/8.72 |-Branch two: % 31.64/8.72 | (571) ~ (all_0_60_60 = e2) % 31.64/8.72 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 31.64/8.72 | % 31.64/8.72 +-Applying beta-rule and splitting (1275), into two cases. % 31.64/8.72 |-Branch one: % 31.64/8.72 | (1510) all_0_60_60 = e4 % 31.64/8.72 | % 31.64/8.72 | Equations (1510) can reduce 164 to: % 31.64/8.72 | (348) ~ (all_0_59_59 = e4) % 31.64/8.72 | % 31.64/8.72 | Equations (1510) can reduce 316 to: % 31.64/8.72 | (30) ~ (e4 = e3) % 31.64/8.72 | % 31.64/8.72 | From (1510) and (170) follows: % 31.64/8.72 | (5006) op(e0, e0) = e4 % 31.64/8.72 | % 31.64/8.72 +-Applying beta-rule and splitting (139), into two cases. % 31.64/8.72 |-Branch one: % 31.64/8.72 | (614) all_0_43_43 = e4 % 31.64/8.72 | % 31.64/8.72 | Combining equations (447,614) yields a new equation: % 31.64/8.72 | (443) e4 = e3 % 31.64/8.72 | % 31.64/8.72 | Equations (443) can reduce 30 to: % 31.64/8.72 | (303) $false % 31.64/8.72 | % 31.64/8.72 |-The branch is then unsatisfiable % 31.64/8.72 |-Branch two: % 31.64/8.72 | (712) ~ (all_0_43_43 = e4) % 31.64/8.72 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 31.64/8.72 | % 31.64/8.72 | Equations (447) can reduce 712 to: % 31.64/8.72 | (439) ~ (e4 = e3) % 31.64/8.72 | % 31.64/8.72 | Simplifying 439 yields: % 31.64/8.72 | (30) ~ (e4 = e3) % 31.64/8.72 | % 31.64/8.72 +-Applying beta-rule and splitting (227), into two cases. % 31.64/8.72 |-Branch one: % 31.64/8.72 | (909) all_0_59_59 = e2 % 31.64/8.72 | % 31.64/8.72 | Equations (909) can reduce 260 to: % 31.64/8.72 | (303) $false % 31.64/8.72 | % 31.64/8.72 |-The branch is then unsatisfiable % 31.64/8.72 |-Branch two: % 31.64/8.72 | (260) ~ (all_0_59_59 = e2) % 31.64/8.72 | (1037) all_0_59_59 = e4 | all_0_59_59 = e3 | all_0_59_59 = e1 % 31.64/8.72 | % 31.64/8.72 +-Applying beta-rule and splitting (209), into two cases. % 31.64/8.72 |-Branch one: % 31.64/8.72 | (1111) all_0_56_56 = e3 % 31.64/8.72 | % 31.64/8.72 | Equations (1111) can reduce 42 to: % 31.64/8.72 | (1030) ~ (all_0_59_59 = e3) % 31.64/8.72 | % 31.64/8.72 | Simplifying 1030 yields: % 31.64/8.72 | (1031) ~ (all_0_59_59 = e3) % 31.64/8.72 | % 31.64/8.72 | From (1111) and (132) follows: % 31.64/8.72 | (1116) op(e0, e4) = e3 % 31.64/8.72 | % 31.64/8.72 +-Applying beta-rule and splitting (1037), into two cases. % 31.64/8.72 |-Branch one: % 31.64/8.72 | (717) all_0_59_59 = e4 % 31.64/8.72 | % 31.64/8.72 | Equations (717) can reduce 348 to: % 31.64/8.72 | (303) $false % 31.64/8.72 | % 31.64/8.72 |-The branch is then unsatisfiable % 31.64/8.72 |-Branch two: % 31.64/8.72 | (348) ~ (all_0_59_59 = e4) % 31.64/8.72 | (1047) all_0_59_59 = e3 | all_0_59_59 = e1 % 31.64/8.72 | % 31.64/8.72 +-Applying beta-rule and splitting (1047), into two cases. % 31.64/8.72 |-Branch one: % 31.64/8.72 | (600) all_0_59_59 = e1 % 31.64/8.72 | % 31.64/8.72 | Equations (600) can reduce 348 to: % 31.64/8.72 | (605) ~ (e4 = e1) % 31.64/8.72 | % 31.64/8.72 | Simplifying 605 yields: % 31.64/8.72 | (247) ~ (e4 = e1) % 31.64/8.72 | % 31.64/8.72 +-Applying beta-rule and splitting (713), into two cases. % 31.64/8.72 |-Branch one: % 31.64/8.72 | (714) all_0_50_50 = e4 % 31.64/8.72 | % 31.64/8.72 | From (714) and (110) follows: % 31.64/8.72 | (6028) op(e4, e1) = all_0_20_20 % 31.64/8.72 | % 31.64/8.72 +-Applying beta-rule and splitting (180), into two cases. % 31.64/8.72 |-Branch one: % 31.64/8.72 | (945) all_0_41_41 = e2 % 31.64/8.72 | % 31.64/8.72 | Equations (945) can reduce 369 to: % 31.64/8.72 | (303) $false % 31.64/8.72 | % 31.64/8.72 |-The branch is then unsatisfiable % 31.64/8.72 |-Branch two: % 31.64/8.72 | (369) ~ (all_0_41_41 = e2) % 31.64/8.72 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 31.64/8.72 | % 31.64/8.72 +-Applying beta-rule and splitting (1017), into two cases. % 31.64/8.72 |-Branch one: % 31.64/8.72 | (696) all_0_41_41 = e1 % 31.64/8.72 | % 31.64/8.72 | Equations (696) can reduce 326 to: % 31.64/8.72 | (134) ~ (e1 = e0) % 31.64/8.72 | % 31.64/8.72 | Instantiating formula (29) with e4, e1, all_0_23_23, all_0_20_20 and discharging atoms op(e4, e1) = all_0_20_20, op(e4, e1) = all_0_23_23, yields: % 31.64/8.72 | (6035) all_0_20_20 = all_0_23_23 % 31.64/8.72 | % 31.64/8.72 | Instantiating formula (29) with e4, e1, e3, all_0_20_20 and discharging atoms op(e4, e1) = all_0_20_20, op(e4, e1) = e3, yields: % 31.64/8.72 | (6036) all_0_20_20 = e3 % 31.64/8.72 | % 31.64/8.72 | Instantiating formula (29) with e3, e1, all_0_6_6, e2 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = e2, yields: % 31.64/8.72 | (3326) all_0_6_6 = e2 % 31.64/8.72 | % 31.64/8.72 | Instantiating formula (29) with e3, e1, all_0_25_25, all_0_6_6 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = all_0_25_25, yields: % 31.64/8.72 | (6038) all_0_6_6 = all_0_25_25 % 31.64/8.72 | % 31.64/8.72 | Instantiating formula (29) with e2, e3, e0, all_0_34_34 and discharging atoms op(e2, e3) = all_0_34_34, op(e2, e3) = e0, yields: % 31.64/8.72 | (421) all_0_34_34 = e0 % 31.64/8.72 | % 31.64/8.72 | Instantiating formula (29) with e2, e2, all_0_21_21, e3 and discharging atoms op(e2, e2) = all_0_21_21, op(e2, e2) = e3, yields: % 31.64/8.72 | (2622) all_0_21_21 = e3 % 31.64/8.72 | % 31.64/8.72 | Instantiating formula (29) with e0, e4, e3, all_0_7_7 and discharging atoms op(e0, e4) = all_0_7_7, op(e0, e4) = e3, yields: % 31.64/8.72 | (3593) all_0_7_7 = e3 % 31.64/8.72 | % 31.64/8.72 | Instantiating formula (29) with e0, e3, e2, all_0_18_18 and discharging atoms op(e0, e3) = all_0_18_18, op(e0, e3) = e2, yields: % 31.64/8.72 | (3563) all_0_18_18 = e2 % 31.64/8.72 | % 31.64/8.72 | Instantiating formula (29) with e0, e0, e4, all_0_8_8 and discharging atoms op(e0, e0) = all_0_8_8, op(e0, e0) = e4, yields: % 31.64/8.72 | (3534) all_0_8_8 = e4 % 31.64/8.72 | % 31.64/8.72 | Combining equations (3326,6038) yields a new equation: % 31.64/8.72 | (2621) all_0_25_25 = e2 % 31.64/8.72 | % 31.64/8.72 | Combining equations (6035,6036) yields a new equation: % 31.64/8.72 | (6045) all_0_23_23 = e3 % 31.64/8.72 | % 31.64/8.72 | Simplifying 6045 yields: % 31.64/8.72 | (6046) all_0_23_23 = e3 % 31.64/8.72 | % 31.64/8.72 | From (6046) and (5920) follows: % 31.64/8.72 | (3299) op(e4, e1) = e3 % 31.64/8.72 | % 31.64/8.72 | From (2621) and (2593) follows: % 31.64/8.72 | (266) op(e3, e1) = e2 % 31.64/8.72 | % 31.64/8.72 | From (421) and (5860) follows: % 31.64/8.72 | (2550) op(e2, e3) = e0 % 31.64/8.72 | % 31.64/8.72 | From (2622) and (2490) follows: % 31.64/8.72 | (83) op(e2, e2) = e3 % 31.64/8.72 | % 31.64/8.72 | From (3593) and (5358) follows: % 31.64/8.72 | (1116) op(e0, e4) = e3 % 31.64/8.72 | % 31.64/8.72 | From (3563) and (2548) follows: % 31.64/8.72 | (2880) op(e0, e3) = e2 % 31.64/8.72 | % 31.64/8.72 | From (3534) and (5359) follows: % 31.64/8.72 | (5006) op(e0, e0) = e4 % 31.64/8.72 | % 31.64/8.72 +-Applying beta-rule and splitting (62), into two cases. % 31.64/8.72 |-Branch one: % 31.64/8.72 | (631) unit = e2 % 31.64/8.72 | % 31.64/8.72 | From (631) and (232) follows: % 31.64/8.72 | (2714) op(e2, e3) = e3 % 31.64/8.72 | % 31.64/8.72 | From (631) and (98) follows: % 31.64/8.72 | (5015) op(e3, e2) = e3 % 31.64/8.72 | % 31.64/8.72 | From (631) and (74) follows: % 31.64/8.72 | (2715) op(e2, e2) = e2 % 31.64/8.72 | % 31.64/8.72 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 31.64/8.72 | (601) e3 = e1 % 31.64/8.72 | % 31.64/8.72 | Instantiating formula (29) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields: % 31.64/8.72 | (497) e3 = e0 % 31.64/8.72 | % 31.64/8.72 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 31.64/8.72 | (453) e3 = e2 % 31.64/8.72 | % 31.64/8.72 | Combining equations (601,453) yields a new equation: % 31.64/8.72 | (585) e2 = e1 % 31.64/8.72 | % 31.64/8.72 | Combining equations (497,453) yields a new equation: % 31.64/8.72 | (385) e2 = e0 % 31.64/8.72 | % 31.64/8.72 | Combining equations (385,585) yields a new equation: % 31.64/8.72 | (590) e1 = e0 % 31.64/8.72 | % 31.64/8.72 | Equations (590) can reduce 134 to: % 31.64/8.72 | (303) $false % 31.64/8.72 | % 31.64/8.72 |-The branch is then unsatisfiable % 31.64/8.72 |-Branch two: % 31.64/8.72 | (599) ~ (unit = e2) % 31.64/8.72 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 31.64/8.72 | % 31.64/8.72 +-Applying beta-rule and splitting (634), into two cases. % 31.64/8.72 |-Branch one: % 31.64/8.72 | (635) unit = e4 % 31.64/8.72 | % 31.64/8.72 | From (635) and (38) follows: % 31.64/8.72 | (636) op(e4, e1) = e1 % 31.64/8.72 | % 31.64/8.72 | From (635) and (111) follows: % 31.64/8.72 | (638) op(e0, e4) = e0 % 31.64/8.72 | % 31.64/8.72 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 31.64/8.72 | (601) e3 = e1 % 31.64/8.72 | % 31.64/8.72 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 31.64/8.72 | (497) e3 = e0 % 31.64/8.72 | % 31.64/8.72 | Combining equations (497,601) yields a new equation: % 31.64/8.72 | (590) e1 = e0 % 31.64/8.72 | % 31.64/8.72 | Equations (590) can reduce 134 to: % 31.64/8.72 | (303) $false % 31.64/8.72 | % 31.64/8.72 |-The branch is then unsatisfiable % 31.64/8.72 |-Branch two: % 31.64/8.72 | (484) ~ (unit = e4) % 31.64/8.72 | (647) unit = e3 | unit = e1 | unit = e0 % 31.64/8.72 | % 31.64/8.72 +-Applying beta-rule and splitting (647), into two cases. % 31.64/8.72 |-Branch one: % 31.64/8.72 | (648) unit = e1 % 31.64/8.73 | % 31.64/8.73 | Equations (648) can reduce 510 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (510) ~ (unit = e1) % 31.64/8.73 | (659) unit = e3 | unit = e0 % 31.64/8.73 | % 31.64/8.73 +-Applying beta-rule and splitting (659), into two cases. % 31.64/8.73 |-Branch one: % 31.64/8.73 | (660) unit = e0 % 31.64/8.73 | % 31.64/8.73 | Equations (660) can reduce 599 to: % 31.64/8.73 | (335) ~ (e2 = e0) % 31.64/8.73 | % 31.64/8.73 | Simplifying 335 yields: % 31.64/8.73 | (51) ~ (e2 = e0) % 31.64/8.73 | % 31.64/8.73 | From (660) and (17) follows: % 31.64/8.73 | (1195) op(e0, e4) = e4 % 31.64/8.73 | % 31.64/8.73 | From (660) and (232) follows: % 31.64/8.73 | (1196) op(e0, e3) = e3 % 31.64/8.73 | % 31.64/8.73 | From (660) and (111) follows: % 31.64/8.73 | (3633) op(e0, e0) = e0 % 31.64/8.73 | % 31.64/8.73 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 31.64/8.73 | (443) e4 = e3 % 31.64/8.73 | % 31.64/8.73 | Instantiating formula (29) with e0, e3, e3, e2 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e2, yields: % 31.64/8.73 | (453) e3 = e2 % 31.64/8.73 | % 31.64/8.73 | Instantiating formula (29) with e0, e0, e0, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields: % 31.64/8.73 | (654) e4 = e0 % 31.64/8.73 | % 31.64/8.73 | Combining equations (654,443) yields a new equation: % 31.64/8.73 | (497) e3 = e0 % 31.64/8.73 | % 31.64/8.73 | Combining equations (497,453) yields a new equation: % 31.64/8.73 | (385) e2 = e0 % 31.64/8.73 | % 31.64/8.73 | Equations (385) can reduce 51 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (537) ~ (unit = e0) % 31.64/8.73 | (674) unit = e3 % 31.64/8.73 | % 31.64/8.73 | From (674) and (38) follows: % 31.64/8.73 | (675) op(e3, e1) = e1 % 31.64/8.73 | % 31.64/8.73 | From (674) and (111) follows: % 31.64/8.73 | (420) op(e0, e3) = e0 % 31.64/8.73 | % 31.64/8.73 | Instantiating formula (29) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 31.64/8.73 | (585) e2 = e1 % 31.64/8.73 | % 31.64/8.73 | Instantiating formula (29) with e0, e3, e0, e2 and discharging atoms op(e0, e3) = e2, op(e0, e3) = e0, yields: % 31.64/8.73 | (385) e2 = e0 % 31.64/8.73 | % 31.64/8.73 | Combining equations (385,585) yields a new equation: % 31.64/8.73 | (590) e1 = e0 % 31.64/8.73 | % 31.64/8.73 | Equations (590) can reduce 134 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (699) ~ (all_0_41_41 = e1) % 31.64/8.73 | (2158) all_0_41_41 = e3 | all_0_41_41 = e0 % 31.64/8.73 | % 31.64/8.73 +-Applying beta-rule and splitting (2158), into two cases. % 31.64/8.73 |-Branch one: % 31.64/8.73 | (398) all_0_41_41 = e0 % 31.64/8.73 | % 31.64/8.73 | Equations (398) can reduce 326 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (326) ~ (all_0_41_41 = e0) % 31.64/8.73 | (431) all_0_41_41 = e3 % 31.64/8.73 | % 31.64/8.73 | Equations (431) can reduce 996 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (611) ~ (all_0_50_50 = e4) % 31.64/8.73 | (717) all_0_59_59 = e4 % 31.64/8.73 | % 31.64/8.73 | Combining equations (600,717) yields a new equation: % 31.64/8.73 | (541) e4 = e1 % 31.64/8.73 | % 31.64/8.73 | Equations (541) can reduce 247 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (603) ~ (all_0_59_59 = e1) % 31.64/8.73 | (456) all_0_59_59 = e3 % 31.64/8.73 | % 31.64/8.73 | Equations (456) can reduce 1031 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (526) ~ (all_0_56_56 = e3) % 31.64/8.73 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 31.64/8.73 | % 31.64/8.73 +-Applying beta-rule and splitting (1037), into two cases. % 31.64/8.73 |-Branch one: % 31.64/8.73 | (717) all_0_59_59 = e4 % 31.64/8.73 | % 31.64/8.73 | Equations (717) can reduce 348 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (348) ~ (all_0_59_59 = e4) % 31.64/8.73 | (1047) all_0_59_59 = e3 | all_0_59_59 = e1 % 31.64/8.73 | % 31.64/8.73 +-Applying beta-rule and splitting (1047), into two cases. % 31.64/8.73 |-Branch one: % 31.64/8.73 | (600) all_0_59_59 = e1 % 31.64/8.73 | % 31.64/8.73 | Equations (600) can reduce 1031 to: % 31.64/8.73 | (465) ~ (e3 = e1) % 31.64/8.73 | % 31.64/8.73 | Simplifying 465 yields: % 31.64/8.73 | (136) ~ (e3 = e1) % 31.64/8.73 | % 31.64/8.73 +-Applying beta-rule and splitting (1491), into two cases. % 31.64/8.73 |-Branch one: % 31.64/8.73 | (1001) all_0_57_57 = e3 % 31.64/8.73 | % 31.64/8.73 | Combining equations (897,1001) yields a new equation: % 31.64/8.73 | (453) e3 = e2 % 31.64/8.73 | % 31.64/8.73 | Equations (453) can reduce 223 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (2590) ~ (all_0_57_57 = e3) % 31.64/8.73 | (2977) all_0_59_59 = e3 | all_0_60_60 = e3 % 31.64/8.73 | % 31.64/8.73 +-Applying beta-rule and splitting (2977), into two cases. % 31.64/8.73 |-Branch one: % 31.64/8.73 | (456) all_0_59_59 = e3 % 31.64/8.73 | % 31.64/8.73 | Combining equations (600,456) yields a new equation: % 31.64/8.73 | (601) e3 = e1 % 31.64/8.73 | % 31.64/8.73 | Equations (601) can reduce 136 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (1031) ~ (all_0_59_59 = e3) % 31.64/8.73 | (1937) all_0_60_60 = e3 % 31.64/8.73 | % 31.64/8.73 | Combining equations (1937,1510) yields a new equation: % 31.64/8.73 | (443) e4 = e3 % 31.64/8.73 | % 31.64/8.73 | Equations (443) can reduce 30 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (603) ~ (all_0_59_59 = e1) % 31.64/8.73 | (456) all_0_59_59 = e3 % 31.64/8.73 | % 31.64/8.73 | Equations (456) can reduce 1031 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (350) ~ (all_0_60_60 = e4) % 31.64/8.73 | (1906) all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 31.64/8.73 | % 31.64/8.73 +-Applying beta-rule and splitting (1906), into two cases. % 31.64/8.73 |-Branch one: % 31.64/8.73 | (604) all_0_60_60 = e1 % 31.64/8.73 | % 31.64/8.73 | Equations (604) can reduce 501 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (501) ~ (all_0_60_60 = e1) % 31.64/8.73 | (1933) all_0_60_60 = e3 | all_0_60_60 = e0 % 31.64/8.73 | % 31.64/8.73 +-Applying beta-rule and splitting (1933), into two cases. % 31.64/8.73 |-Branch one: % 31.64/8.73 | (1934) all_0_60_60 = e0 % 31.64/8.73 | % 31.64/8.73 | Equations (1934) can reduce 414 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (414) ~ (all_0_60_60 = e0) % 31.64/8.73 | (1937) all_0_60_60 = e3 % 31.64/8.73 | % 31.64/8.73 | Equations (1937) can reduce 316 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (434) ~ (all_0_43_43 = e3) % 31.64/8.73 | (2081) all_0_44_44 = e3 % 31.64/8.73 | % 31.64/8.73 | Combining equations (2078,2081) yields a new equation: % 31.64/8.73 | (497) e3 = e0 % 31.64/8.73 | % 31.64/8.73 | Equations (497) can reduce 70 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (939) ~ (all_0_40_40 = e2) % 31.64/8.73 | (944) all_0_45_45 = e2 | all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 31.64/8.73 | % 31.64/8.73 +-Applying beta-rule and splitting (944), into two cases. % 31.64/8.73 |-Branch one: % 31.64/8.73 | (951) all_0_45_45 = e2 % 31.64/8.73 | % 31.64/8.73 | Combining equations (287,951) yields a new equation: % 31.64/8.73 | (385) e2 = e0 % 31.64/8.73 | % 31.64/8.73 | Equations (385) can reduce 51 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (254) ~ (all_0_45_45 = e2) % 31.64/8.73 | (956) all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 31.64/8.73 | % 31.64/8.73 +-Applying beta-rule and splitting (956), into two cases. % 31.64/8.73 |-Branch one: % 31.64/8.73 | (727) all_0_48_48 = e2 % 31.64/8.73 | % 31.64/8.73 | Equations (727) can reduce 544 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (544) ~ (all_0_48_48 = e2) % 31.64/8.73 | (975) all_0_52_52 = e2 | all_0_56_56 = e2 % 31.64/8.73 | % 31.64/8.73 +-Applying beta-rule and splitting (975), into two cases. % 31.64/8.73 |-Branch one: % 31.64/8.73 | (980) all_0_52_52 = e2 % 31.64/8.73 | % 31.64/8.73 | Combining equations (442,980) yields a new equation: % 31.64/8.73 | (878) e4 = e2 % 31.64/8.73 | % 31.64/8.73 | Simplifying 878 yields: % 31.64/8.73 | (470) e4 = e2 % 31.64/8.73 | % 31.64/8.73 | Equations (470) can reduce 231 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (273) ~ (all_0_52_52 = e2) % 31.64/8.73 | (580) all_0_56_56 = e2 % 31.64/8.73 | % 31.64/8.73 | Equations (580) can reduce 594 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (373) ~ (all_0_51_51 = e2) % 31.64/8.73 | (931) all_0_55_55 = e2 | all_0_60_60 = e2 % 31.64/8.73 | % 31.64/8.73 +-Applying beta-rule and splitting (931), into two cases. % 31.64/8.73 |-Branch one: % 31.64/8.73 | (932) all_0_55_55 = e2 % 31.64/8.73 | % 31.64/8.73 | Combining equations (932,530) yields a new equation: % 31.64/8.73 | (584) e2 = e1 % 31.64/8.73 | % 31.64/8.73 | Simplifying 584 yields: % 31.64/8.73 | (585) e2 = e1 % 31.64/8.73 | % 31.64/8.73 | Equations (585) can reduce 144 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (276) ~ (all_0_55_55 = e2) % 31.64/8.73 | (913) all_0_60_60 = e2 % 31.64/8.73 | % 31.64/8.73 | Equations (913) can reduce 571 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (428) ~ (all_0_53_53 = e3) % 31.64/8.73 | (2165) all_0_55_55 = e3 % 31.64/8.73 | % 31.64/8.73 | Combining equations (2165,530) yields a new equation: % 31.64/8.73 | (680) e3 = e1 % 31.64/8.73 | % 31.64/8.73 | Simplifying 680 yields: % 31.64/8.73 | (601) e3 = e1 % 31.64/8.73 | % 31.64/8.73 | Equations (601) can reduce 136 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (445) ~ (all_0_52_52 = e4) % 31.64/8.73 | (446) all_0_54_54 = e4 | all_0_55_55 = e4 % 31.64/8.73 | % 31.64/8.73 +-Applying beta-rule and splitting (446), into two cases. % 31.64/8.73 |-Branch one: % 31.64/8.73 | (469) all_0_54_54 = e4 % 31.64/8.73 | % 31.64/8.73 | Combining equations (469,271) yields a new equation: % 31.64/8.73 | (878) e4 = e2 % 31.64/8.73 | % 31.64/8.73 | Simplifying 878 yields: % 31.64/8.73 | (470) e4 = e2 % 31.64/8.73 | % 31.64/8.73 | Equations (470) can reduce 231 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (472) ~ (all_0_54_54 = e4) % 31.64/8.73 | (473) all_0_55_55 = e4 % 31.64/8.73 | % 31.64/8.73 | Combining equations (530,473) yields a new equation: % 31.64/8.73 | (541) e4 = e1 % 31.64/8.73 | % 31.64/8.73 | Equations (541) can reduce 247 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.73 |-Branch two: % 31.64/8.73 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 31.64/8.73 | % 31.64/8.73 | Applying alpha-rule on (514) yields: % 31.64/8.73 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 31.64/8.73 | (516) ~ (all_0_47_47 = e3) % 31.64/8.73 | (314) ~ (all_0_55_55 = e3) % 31.64/8.73 | (368) all_0_49_49 = e2 % 31.64/8.73 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 31.64/8.73 | (520) ~ (unit = e3) % 31.64/8.73 | (521) ~ (all_0_52_52 = e3) % 31.64/8.73 | (455) ~ (all_0_46_46 = e3) % 31.64/8.73 | (432) ~ (all_0_40_40 = e3) % 31.64/8.73 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 31.64/8.73 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 31.64/8.73 | (526) ~ (all_0_56_56 = e3) % 31.64/8.73 | % 31.64/8.73 | Equations (368) can reduce 2167 to: % 31.64/8.73 | (303) $false % 31.64/8.73 | % 31.64/8.73 |-The branch is then unsatisfiable % 31.64/8.74 |-Branch two: % 31.64/8.74 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 31.64/8.74 | % 31.64/8.74 | Applying alpha-rule on (528) yields: % 31.64/8.74 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 31.64/8.74 | (530) all_0_55_55 = e1 % 31.64/8.74 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 31.64/8.74 | (387) ~ (all_0_49_49 = e0) % 31.64/8.74 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 31.64/8.74 | (534) ~ (all_0_45_45 = e0) % 31.64/8.74 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 31.64/8.74 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 31.64/8.74 | (537) ~ (unit = e0) % 31.64/8.74 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 31.64/8.74 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 31.64/8.74 | % 31.64/8.74 | Equations (287) can reduce 534 to: % 31.64/8.74 | (303) $false % 31.64/8.74 | % 31.64/8.74 |-The branch is then unsatisfiable % 31.64/8.74 |-Branch two: % 31.64/8.74 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 31.64/8.74 | % 31.64/8.74 | Applying alpha-rule on (543) yields: % 31.64/8.74 | (544) ~ (all_0_48_48 = e2) % 31.64/8.74 | (369) ~ (all_0_41_41 = e2) % 31.64/8.74 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 31.64/8.74 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 31.64/8.74 | (253) ~ (all_0_43_43 = e2) % 31.64/8.74 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 31.64/8.74 | (276) ~ (all_0_55_55 = e2) % 31.64/8.74 | (260) ~ (all_0_59_59 = e2) % 31.64/8.74 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 31.64/8.74 | (274) ~ (all_0_53_53 = e2) % 31.64/8.74 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 31.64/8.74 | (373) ~ (all_0_51_51 = e2) % 31.64/8.74 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 31.64/8.74 | (256) ~ (all_0_47_47 = e2) % 31.64/8.74 | (377) ~ (all_0_57_57 = e2) % 31.64/8.74 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 31.64/8.74 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 31.64/8.74 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 31.64/8.74 | (258) ~ (all_0_50_50 = e2) % 31.64/8.74 | (254) ~ (all_0_45_45 = e2) % 31.64/8.74 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 31.64/8.74 | % 31.64/8.74 | Equations (897) can reduce 377 to: % 31.64/8.74 | (303) $false % 31.64/8.74 | % 31.64/8.74 |-The branch is then unsatisfiable % 31.64/8.74 |-Branch two: % 31.64/8.74 | (6245) ~ (all_0_42_42 = e4) % 31.64/8.74 | (6246) all_0_54_54 = e4 | all_0_58_58 = e4 % 31.64/8.74 | % 31.64/8.74 +-Applying beta-rule and splitting (6246), into two cases. % 31.64/8.74 |-Branch one: % 31.64/8.74 | (469) all_0_54_54 = e4 % 31.64/8.74 | % 31.64/8.74 | Combining equations (271,469) yields a new equation: % 31.64/8.74 | (470) e4 = e2 % 31.64/8.74 | % 31.64/8.74 | Equations (470) can reduce 231 to: % 31.64/8.74 | (303) $false % 31.64/8.74 | % 31.64/8.74 |-The branch is then unsatisfiable % 31.64/8.74 |-Branch two: % 31.64/8.74 | (472) ~ (all_0_54_54 = e4) % 31.64/8.74 | (344) all_0_58_58 = e4 % 31.64/8.74 | % 31.64/8.74 | Combining equations (344,989) yields a new equation: % 31.64/8.74 | (1573) e4 = e0 % 31.64/8.74 | % 31.64/8.74 | Simplifying 1573 yields: % 31.64/8.74 | (654) e4 = e0 % 31.64/8.74 | % 31.64/8.74 | Equations (654) can reduce 4 to: % 31.64/8.74 | (303) $false % 31.64/8.74 | % 31.64/8.74 |-The branch is then unsatisfiable % 31.64/8.74 |-Branch two: % 31.64/8.74 | (534) ~ (all_0_45_45 = e0) % 31.64/8.74 | (306) all_0_47_47 = e0 % 31.64/8.74 | % 31.64/8.74 | Equations (306) can reduce 52 to: % 31.64/8.74 | (330) ~ (all_0_44_44 = e0) % 31.64/8.74 | % 31.64/8.74 | Equations (306) can reduce 118 to: % 31.64/8.74 | (534) ~ (all_0_45_45 = e0) % 31.64/8.74 | % 31.64/8.74 | Equations (306) can reduce 142 to: % 31.64/8.74 | (5945) ~ (all_0_51_51 = e0) % 31.64/8.74 | % 31.64/8.74 | Simplifying 5945 yields: % 31.64/8.74 | (2347) ~ (all_0_51_51 = e0) % 31.64/8.74 | % 31.64/8.74 | Equations (306) can reduce 39 to: % 31.64/8.74 | (392) ~ (all_0_55_55 = e0) % 31.64/8.74 | % 31.64/8.74 | Simplifying 392 yields: % 31.64/8.74 | (93) ~ (all_0_55_55 = e0) % 31.64/8.74 | % 31.64/8.74 | Equations (306) can reduce 47 to: % 31.64/8.74 | (413) ~ (all_0_60_60 = e0) % 31.64/8.74 | % 31.64/8.74 | Simplifying 413 yields: % 31.64/8.74 | (414) ~ (all_0_60_60 = e0) % 31.64/8.74 | % 31.64/8.74 | Equations (306) can reduce 198 to: % 31.64/8.74 | (297) ~ (e4 = e0) % 31.64/8.74 | % 31.64/8.74 | Simplifying 297 yields: % 31.64/8.74 | (4) ~ (e4 = e0) % 31.64/8.74 | % 31.64/8.74 | From (306) and (68) follows: % 31.64/8.74 | (6267) op(e0, e3) = all_0_13_13 % 31.64/8.74 | % 31.64/8.74 | From (306) and (75) follows: % 31.64/8.74 | (6268) op(e0, e0) = all_0_14_14 % 31.64/8.74 | % 31.64/8.74 | From (306) and (204) follows: % 31.64/8.74 | (6269) op(e3, e0) = e0 % 31.64/8.74 | % 31.64/8.74 +-Applying beta-rule and splitting (76), into two cases. % 31.64/8.74 |-Branch one: % 31.64/8.74 | (951) all_0_45_45 = e2 % 31.64/8.74 | % 31.64/8.74 | Equations (951) can reduce 254 to: % 31.64/8.74 | (303) $false % 31.64/8.74 | % 31.64/8.74 |-The branch is then unsatisfiable % 31.64/8.74 |-Branch two: % 31.64/8.74 | (254) ~ (all_0_45_45 = e2) % 31.64/8.74 | (6273) all_0_45_45 = e3 | all_0_45_45 = e0 % 31.64/8.74 | % 31.64/8.74 +-Applying beta-rule and splitting (101), into two cases. % 31.64/8.74 |-Branch one: % 31.64/8.74 | (493) all_0_45_45 = e3 % 31.64/8.74 | % 31.64/8.74 | Equations (493) can reduce 120 to: % 31.64/8.74 | (432) ~ (all_0_40_40 = e3) % 31.64/8.74 | % 31.64/8.74 | Equations (493) can reduce 214 to: % 31.64/8.74 | (1725) ~ (all_0_48_48 = e3) % 31.64/8.74 | % 31.64/8.74 | Simplifying 1725 yields: % 31.64/8.74 | (34) ~ (all_0_48_48 = e3) % 31.64/8.74 | % 31.64/8.74 | Equations (493) can reduce 162 to: % 31.64/8.74 | (1727) ~ (all_0_52_52 = e3) % 31.64/8.74 | % 31.64/8.74 | Simplifying 1727 yields: % 31.64/8.74 | (521) ~ (all_0_52_52 = e3) % 31.64/8.74 | % 31.64/8.74 | Equations (493) can reduce 182 to: % 31.64/8.74 | (2285) ~ (all_0_56_56 = e3) % 31.64/8.74 | % 31.64/8.74 | Simplifying 2285 yields: % 31.64/8.74 | (526) ~ (all_0_56_56 = e3) % 31.64/8.74 | % 31.64/8.74 | Equations (493) can reduce 184 to: % 31.64/8.74 | (136) ~ (e3 = e1) % 31.64/8.74 | % 31.64/8.74 | From (493) and (49) follows: % 31.64/8.74 | (6283) op(e3, e3) = all_0_9_9 % 31.64/8.74 | % 31.64/8.74 | Instantiating formula (29) with e3, e3, all_0_9_9, e4 and discharging atoms op(e3, e3) = all_0_9_9, op(e3, e3) = e4, yields: % 31.64/8.74 | (6284) all_0_9_9 = e4 % 31.64/8.74 | % 31.64/8.74 | Instantiating formula (29) with e0, e3, all_0_13_13, all_0_57_57 and discharging atoms op(e0, e3) = all_0_13_13, op(e0, e3) = all_0_57_57, yields: % 31.64/8.74 | (6285) all_0_13_13 = all_0_57_57 % 31.64/8.74 | % 31.64/8.74 | Instantiating formula (29) with e0, e0, all_0_14_14, all_0_60_60 and discharging atoms op(e0, e0) = all_0_14_14, op(e0, e0) = all_0_60_60, yields: % 31.64/8.74 | (6286) all_0_14_14 = all_0_60_60 % 31.64/8.74 | % 31.64/8.74 | From (6284) and (6283) follows: % 31.64/8.74 | (22) op(e3, e3) = e4 % 31.64/8.74 | % 31.64/8.74 | From (6285) and (6267) follows: % 31.64/8.74 | (5) op(e0, e3) = all_0_57_57 % 31.64/8.74 | % 31.64/8.74 | From (6286) and (6268) follows: % 31.64/8.74 | (170) op(e0, e0) = all_0_60_60 % 31.64/8.74 | % 31.64/8.74 +-Applying beta-rule and splitting (163), into two cases. % 31.64/8.74 |-Branch one: % 31.64/8.74 | (324) all_0_42_42 = e0 % 31.64/8.74 | % 31.64/8.74 | Equations (324) can reduce 115 to: % 31.64/8.74 | (288) ~ (all_0_40_40 = e0) % 31.64/8.74 | % 31.64/8.74 | Equations (324) can reduce 55 to: % 31.64/8.74 | (326) ~ (all_0_41_41 = e0) % 31.64/8.74 | % 31.64/8.74 | Equations (324) can reduce 119 to: % 31.64/8.74 | (327) ~ (all_0_43_43 = e0) % 31.64/8.74 | % 31.64/8.74 | Simplifying 327 yields: % 31.64/8.74 | (117) ~ (all_0_43_43 = e0) % 31.64/8.74 | % 31.64/8.74 | Equations (324) can reduce 69 to: % 31.64/8.74 | (329) ~ (all_0_44_44 = e0) % 31.64/8.74 | % 31.64/8.74 | Simplifying 329 yields: % 31.64/8.74 | (330) ~ (all_0_44_44 = e0) % 31.64/8.74 | % 31.64/8.74 | Equations (324) can reduce 60 to: % 31.64/8.74 | (331) ~ (all_0_58_58 = e0) % 31.64/8.74 | % 31.64/8.74 | Simplifying 331 yields: % 31.64/8.74 | (332) ~ (all_0_58_58 = e0) % 31.64/8.74 | % 31.64/8.74 | Equations (324) can reduce 225 to: % 31.64/8.74 | (333) ~ (e3 = e0) % 31.64/8.74 | % 31.64/8.74 | Simplifying 333 yields: % 31.64/8.74 | (70) ~ (e3 = e0) % 31.64/8.74 | % 31.64/8.74 | Equations (324) can reduce 272 to: % 31.64/8.74 | (335) ~ (e2 = e0) % 31.64/8.74 | % 31.64/8.74 | Simplifying 335 yields: % 31.64/8.74 | (51) ~ (e2 = e0) % 31.64/8.74 | % 31.64/8.74 | Equations (324) can reduce 25 to: % 31.64/8.74 | (661) ~ (e1 = e0) % 31.64/8.74 | % 31.64/8.74 | Simplifying 661 yields: % 31.64/8.74 | (134) ~ (e1 = e0) % 31.64/8.74 | % 31.64/8.74 | From (324) and (80) follows: % 31.64/8.74 | (337) op(e0, e4) = all_0_3_3 % 31.64/8.74 | % 31.64/8.74 | From (324) and (179) follows: % 31.64/8.74 | (338) op(e0, e2) = all_0_4_4 % 31.64/8.74 | % 31.64/8.74 | From (324) and (148) follows: % 31.64/8.74 | (339) op(e4, e2) = e0 % 31.64/8.74 | % 31.64/8.74 +-Applying beta-rule and splitting (244), into two cases. % 31.64/8.74 |-Branch one: % 31.64/8.74 | (340) all_0_58_58 = e2 % 31.64/8.74 | % 31.64/8.74 | Equations (340) can reduce 278 to: % 31.64/8.74 | (303) $false % 31.64/8.74 | % 31.64/8.74 |-The branch is then unsatisfiable % 31.64/8.74 |-Branch two: % 31.64/8.74 | (278) ~ (all_0_58_58 = e2) % 31.64/8.74 | (343) all_0_58_58 = e4 | all_0_58_58 = e0 % 31.64/8.74 | % 31.64/8.74 +-Applying beta-rule and splitting (343), into two cases. % 31.64/8.74 |-Branch one: % 31.64/8.74 | (344) all_0_58_58 = e4 % 31.64/8.74 | % 31.64/8.74 | Equations (344) can reduce 71 to: % 31.64/8.74 | (345) ~ (all_0_56_56 = e4) % 31.64/8.74 | % 31.64/8.74 | Equations (344) can reduce 178 to: % 31.64/8.74 | (202) ~ (all_0_57_57 = e4) % 31.64/8.74 | % 31.64/8.74 | Equations (344) can reduce 23 to: % 31.64/8.74 | (347) ~ (all_0_59_59 = e4) % 31.64/8.74 | % 31.64/8.74 | Simplifying 347 yields: % 31.64/8.74 | (348) ~ (all_0_59_59 = e4) % 31.64/8.74 | % 31.64/8.74 | Equations (344) can reduce 9 to: % 31.64/8.74 | (349) ~ (all_0_60_60 = e4) % 31.64/8.74 | % 31.64/8.74 | Simplifying 349 yields: % 31.64/8.74 | (350) ~ (all_0_60_60 = e4) % 31.64/8.74 | % 31.64/8.74 | Equations (344) can reduce 203 to: % 31.64/8.74 | (30) ~ (e4 = e3) % 31.64/8.74 | % 31.64/8.74 | Equations (344) can reduce 31 to: % 31.64/8.74 | (247) ~ (e4 = e1) % 31.64/8.75 | % 31.64/8.75 | From (344) and (10) follows: % 31.64/8.75 | (352) op(e4, e2) = all_0_36_36 % 31.64/8.75 | % 31.64/8.75 | From (344) and (46) follows: % 31.64/8.75 | (6322) op(e4, e0) = all_0_35_35 % 31.64/8.75 | % 31.64/8.75 | From (344) and (135) follows: % 31.64/8.75 | (353) op(e0, e2) = e4 % 31.64/8.75 | % 31.64/8.75 | Instantiating formula (29) with e4, e2, e0, all_0_36_36 and discharging atoms op(e4, e2) = all_0_36_36, op(e4, e2) = e0, yields: % 31.64/8.75 | (354) all_0_36_36 = e0 % 31.64/8.75 | % 31.64/8.75 | Instantiating formula (29) with e4, e0, all_0_35_35, all_0_44_44 and discharging atoms op(e4, e0) = all_0_35_35, op(e4, e0) = all_0_44_44, yields: % 31.64/8.75 | (6325) all_0_35_35 = all_0_44_44 % 31.64/8.75 | % 31.64/8.75 | Instantiating formula (29) with e0, e4, all_0_3_3, all_0_56_56 and discharging atoms op(e0, e4) = all_0_3_3, op(e0, e4) = all_0_56_56, yields: % 31.64/8.75 | (355) all_0_3_3 = all_0_56_56 % 31.64/8.75 | % 31.64/8.75 | Instantiating formula (29) with e0, e2, e4, all_0_4_4 and discharging atoms op(e0, e2) = all_0_4_4, op(e0, e2) = e4, yields: % 31.64/8.75 | (356) all_0_4_4 = e4 % 31.64/8.75 | % 31.64/8.75 | From (354) and (352) follows: % 31.64/8.75 | (339) op(e4, e2) = e0 % 31.64/8.75 | % 31.64/8.75 | From (6325) and (6322) follows: % 31.64/8.75 | (107) op(e4, e0) = all_0_44_44 % 31.64/8.75 | % 31.64/8.75 | From (355) and (337) follows: % 31.64/8.75 | (132) op(e0, e4) = all_0_56_56 % 31.64/8.75 | % 31.64/8.75 | From (356) and (338) follows: % 31.64/8.75 | (353) op(e0, e2) = e4 % 31.64/8.75 | % 31.64/8.75 +-Applying beta-rule and splitting (213), into two cases. % 31.64/8.75 |-Branch one: % 31.64/8.75 | (360) all_0_53_53 = e2 % 31.64/8.75 | % 31.64/8.75 | Equations (360) can reduce 274 to: % 31.64/8.75 | (303) $false % 31.64/8.75 | % 31.64/8.75 |-The branch is then unsatisfiable % 31.64/8.75 |-Branch two: % 31.64/8.75 | (274) ~ (all_0_53_53 = e2) % 31.64/8.75 | (363) all_0_53_53 = e3 | all_0_53_53 = e1 % 31.64/8.75 | % 31.64/8.75 +-Applying beta-rule and splitting (88), into two cases. % 31.64/8.75 |-Branch one: % 31.64/8.75 | (364) all_0_50_50 = e2 % 31.64/8.75 | % 31.64/8.75 | Equations (364) can reduce 258 to: % 31.64/8.75 | (303) $false % 31.64/8.75 | % 31.64/8.75 |-The branch is then unsatisfiable % 31.64/8.75 |-Branch two: % 31.64/8.75 | (258) ~ (all_0_50_50 = e2) % 31.64/8.75 | (367) all_0_50_50 = e4 | all_0_50_50 = e1 % 31.64/8.75 | % 31.64/8.75 +-Applying beta-rule and splitting (114), into two cases. % 31.64/8.75 |-Branch one: % 31.64/8.75 | (368) all_0_49_49 = e2 % 31.64/8.75 | % 31.64/8.75 | Equations (368) can reduce 177 to: % 31.64/8.75 | (369) ~ (all_0_41_41 = e2) % 31.64/8.75 | % 31.64/8.75 | Equations (368) can reduce 58 to: % 31.64/8.75 | (544) ~ (all_0_48_48 = e2) % 31.64/8.75 | % 31.64/8.75 | Equations (368) can reduce 37 to: % 31.64/8.75 | (257) ~ (all_0_50_50 = e2) % 31.64/8.75 | % 31.64/8.75 | Simplifying 257 yields: % 31.64/8.75 | (258) ~ (all_0_50_50 = e2) % 31.64/8.75 | % 31.64/8.75 | Equations (368) can reduce 160 to: % 31.64/8.75 | (372) ~ (all_0_51_51 = e2) % 31.64/8.75 | % 31.64/8.75 | Simplifying 372 yields: % 31.64/8.75 | (373) ~ (all_0_51_51 = e2) % 31.64/8.75 | % 31.64/8.75 | Equations (368) can reduce 7 to: % 31.64/8.75 | (374) ~ (all_0_53_53 = e2) % 31.64/8.75 | % 31.64/8.75 | Simplifying 374 yields: % 31.64/8.75 | (274) ~ (all_0_53_53 = e2) % 31.64/8.75 | % 31.64/8.75 | Equations (368) can reduce 215 to: % 31.64/8.75 | (261) ~ (e4 = e2) % 31.64/8.75 | % 31.64/8.75 | Simplifying 261 yields: % 31.64/8.75 | (231) ~ (e4 = e2) % 31.64/8.75 | % 31.64/8.75 | Equations (368) can reduce 218 to: % 31.64/8.75 | (577) ~ (e3 = e2) % 31.64/8.75 | % 31.64/8.75 | Simplifying 577 yields: % 31.64/8.75 | (223) ~ (e3 = e2) % 31.64/8.75 | % 31.64/8.75 | From (368) and (113) follows: % 31.64/8.75 | (3212) op(e2, e2) = all_0_17_17 % 31.64/8.75 | % 31.64/8.75 +-Applying beta-rule and splitting (150), into two cases. % 31.64/8.75 |-Branch one: % 31.64/8.75 | (398) all_0_41_41 = e0 % 31.64/8.75 | % 31.64/8.75 | Equations (398) can reduce 326 to: % 31.64/8.75 | (303) $false % 31.64/8.75 | % 31.64/8.75 |-The branch is then unsatisfiable % 31.64/8.75 |-Branch two: % 31.64/8.75 | (326) ~ (all_0_41_41 = e0) % 31.64/8.75 | (401) all_0_49_49 = e0 | all_0_57_57 = e0 % 31.64/8.75 | % 31.64/8.75 +-Applying beta-rule and splitting (401), into two cases. % 31.64/8.75 |-Branch one: % 31.64/8.75 | (384) all_0_49_49 = e0 % 31.64/8.75 | % 31.64/8.75 | Combining equations (384,368) yields a new equation: % 31.64/8.75 | (385) e2 = e0 % 31.64/8.75 | % 31.64/8.75 | Equations (385) can reduce 51 to: % 31.64/8.75 | (303) $false % 31.64/8.75 | % 31.64/8.75 |-The branch is then unsatisfiable % 31.64/8.75 |-Branch two: % 31.64/8.75 | (387) ~ (all_0_49_49 = e0) % 31.64/8.75 | (407) all_0_57_57 = e0 % 31.64/8.75 | % 31.64/8.75 | Equations (407) can reduce 11 to: % 31.64/8.75 | (326) ~ (all_0_41_41 = e0) % 31.64/8.75 | % 31.64/8.75 | Equations (407) can reduce 251 to: % 31.64/8.75 | (140) ~ (all_0_53_53 = e0) % 31.64/8.75 | % 31.64/8.75 | Equations (407) can reduce 172 to: % 31.64/8.75 | (296) ~ (all_0_56_56 = e0) % 31.64/8.75 | % 31.64/8.75 | Equations (407) can reduce 222 to: % 31.64/8.75 | (411) ~ (all_0_59_59 = e0) % 31.64/8.75 | % 31.64/8.75 | Simplifying 411 yields: % 31.64/8.75 | (216) ~ (all_0_59_59 = e0) % 31.64/8.75 | % 31.64/8.75 | Equations (407) can reduce 81 to: % 31.64/8.75 | (413) ~ (all_0_60_60 = e0) % 31.64/8.75 | % 31.64/8.75 | Simplifying 413 yields: % 31.64/8.75 | (414) ~ (all_0_60_60 = e0) % 31.64/8.75 | % 31.64/8.75 | Equations (407) can reduce 202 to: % 31.64/8.75 | (297) ~ (e4 = e0) % 31.64/8.75 | % 31.64/8.75 | Simplifying 297 yields: % 31.64/8.75 | (4) ~ (e4 = e0) % 31.64/8.75 | % 31.64/8.75 | From (407) and (35) follows: % 31.64/8.75 | (419) op(e0, e3) = all_0_34_34 % 31.64/8.75 | % 31.64/8.75 | From (407) and (5) follows: % 31.64/8.75 | (420) op(e0, e3) = e0 % 31.64/8.75 | % 31.64/8.75 +-Applying beta-rule and splitting (41), into two cases. % 31.64/8.75 |-Branch one: % 31.64/8.75 | (2834) all_0_40_40 = e0 % 31.64/8.75 | % 31.64/8.75 | Equations (2834) can reduce 288 to: % 31.64/8.75 | (303) $false % 31.64/8.75 | % 31.64/8.75 |-The branch is then unsatisfiable % 31.64/8.75 |-Branch two: % 31.64/8.75 | (288) ~ (all_0_40_40 = e0) % 31.64/8.75 | (6377) all_0_45_45 = e0 | all_0_48_48 = e0 | all_0_56_56 = e0 % 31.64/8.75 | % 31.64/8.75 +-Applying beta-rule and splitting (6377), into two cases. % 31.64/8.75 |-Branch one: % 31.64/8.75 | (287) all_0_45_45 = e0 % 31.64/8.75 | % 31.64/8.75 | Combining equations (493,287) yields a new equation: % 31.64/8.75 | (496) e3 = e0 % 31.64/8.75 | % 31.64/8.75 | Simplifying 496 yields: % 31.64/8.75 | (497) e3 = e0 % 31.64/8.75 | % 31.64/8.75 | Equations (497) can reduce 70 to: % 31.64/8.75 | (303) $false % 31.64/8.75 | % 31.64/8.75 |-The branch is then unsatisfiable % 31.64/8.75 |-Branch two: % 31.64/8.75 | (534) ~ (all_0_45_45 = e0) % 31.64/8.75 | (6383) all_0_48_48 = e0 | all_0_56_56 = e0 % 31.64/8.75 | % 31.64/8.75 +-Applying beta-rule and splitting (6383), into two cases. % 31.64/8.75 |-Branch one: % 31.64/8.75 | (380) all_0_48_48 = e0 % 31.64/8.75 | % 31.64/8.75 | Equations (380) can reduce 53 to: % 31.64/8.75 | (288) ~ (all_0_40_40 = e0) % 31.64/8.75 | % 31.64/8.75 | Equations (380) can reduce 48 to: % 31.64/8.75 | (6386) ~ (all_0_50_50 = e0) % 31.64/8.75 | % 31.64/8.75 | Simplifying 6386 yields: % 31.64/8.75 | (207) ~ (all_0_50_50 = e0) % 31.64/8.75 | % 31.64/8.75 | Equations (380) can reduce 127 to: % 31.64/8.75 | (5945) ~ (all_0_51_51 = e0) % 31.64/8.75 | % 31.64/8.75 | Simplifying 5945 yields: % 31.64/8.75 | (2347) ~ (all_0_51_51 = e0) % 31.64/8.75 | % 31.64/8.75 | Equations (380) can reduce 108 to: % 31.64/8.75 | (293) ~ (all_0_52_52 = e0) % 31.64/8.75 | % 31.64/8.75 | Simplifying 293 yields: % 31.64/8.75 | (78) ~ (all_0_52_52 = e0) % 31.64/8.75 | % 31.64/8.75 | Equations (380) can reduce 2 to: % 31.64/8.75 | (295) ~ (all_0_56_56 = e0) % 31.64/8.75 | % 31.64/8.75 | Simplifying 295 yields: % 31.64/8.75 | (296) ~ (all_0_56_56 = e0) % 31.64/8.75 | % 31.64/8.75 | Equations (380) can reduce 544 to: % 31.64/8.75 | (335) ~ (e2 = e0) % 31.64/8.75 | % 31.64/8.75 | Simplifying 335 yields: % 31.64/8.75 | (51) ~ (e2 = e0) % 31.64/8.75 | % 31.64/8.75 | From (380) and (187) follows: % 31.64/8.75 | (6396) op(e0, e4) = all_0_16_16 % 31.64/8.75 | % 31.64/8.75 | From (380) and (103) follows: % 31.64/8.75 | (6397) op(e0, e2) = all_0_15_15 % 31.64/8.75 | % 31.64/8.75 | Instantiating formula (29) with e2, e2, all_0_17_17, e3 and discharging atoms op(e2, e2) = all_0_17_17, op(e2, e2) = e3, yields: % 31.64/8.75 | (3246) all_0_17_17 = e3 % 31.64/8.75 | % 31.64/8.75 | Instantiating formula (29) with e0, e4, all_0_16_16, all_0_56_56 and discharging atoms op(e0, e4) = all_0_16_16, op(e0, e4) = all_0_56_56, yields: % 31.64/8.75 | (6399) all_0_16_16 = all_0_56_56 % 31.64/8.75 | % 31.64/8.75 | Instantiating formula (29) with e0, e3, e0, all_0_34_34 and discharging atoms op(e0, e3) = all_0_34_34, op(e0, e3) = e0, yields: % 31.64/8.75 | (421) all_0_34_34 = e0 % 31.64/8.75 | % 31.64/8.75 | Instantiating formula (29) with e0, e2, all_0_15_15, e4 and discharging atoms op(e0, e2) = all_0_15_15, op(e0, e2) = e4, yields: % 31.64/8.75 | (6401) all_0_15_15 = e4 % 31.64/8.75 | % 31.64/8.75 | From (3246) and (3212) follows: % 31.64/8.75 | (83) op(e2, e2) = e3 % 31.64/8.75 | % 31.64/8.75 | From (6399) and (6396) follows: % 31.64/8.75 | (132) op(e0, e4) = all_0_56_56 % 31.64/8.75 | % 31.64/8.75 | From (421) and (419) follows: % 31.64/8.75 | (420) op(e0, e3) = e0 % 31.64/8.75 | % 31.64/8.75 | From (6401) and (6397) follows: % 31.64/8.75 | (353) op(e0, e2) = e4 % 31.64/8.75 | % 31.64/8.75 +-Applying beta-rule and splitting (137), into two cases. % 31.64/8.75 |-Branch one: % 31.64/8.75 | (447) all_0_43_43 = e3 % 31.64/8.75 | % 31.64/8.75 | Equations (447) can reduce 8 to: % 31.64/8.75 | (432) ~ (all_0_40_40 = e3) % 31.64/8.75 | % 31.64/8.75 | Equations (447) can reduce 43 to: % 31.64/8.75 | (996) ~ (all_0_41_41 = e3) % 31.64/8.75 | % 31.64/8.75 | Equations (447) can reduce 249 to: % 31.64/8.75 | (1030) ~ (all_0_59_59 = e3) % 31.64/8.75 | % 31.64/8.75 | Simplifying 1030 yields: % 31.64/8.75 | (1031) ~ (all_0_59_59 = e3) % 31.64/8.75 | % 31.64/8.75 | From (447) and (99) follows: % 31.64/8.75 | (3298) op(e3, e1) = all_0_6_6 % 31.64/8.75 | % 31.64/8.75 +-Applying beta-rule and splitting (180), into two cases. % 31.64/8.75 |-Branch one: % 31.64/8.75 | (945) all_0_41_41 = e2 % 31.64/8.75 | % 31.64/8.75 | Equations (945) can reduce 369 to: % 31.64/8.75 | (303) $false % 31.64/8.75 | % 31.64/8.75 |-The branch is then unsatisfiable % 31.64/8.75 |-Branch two: % 31.64/8.75 | (369) ~ (all_0_41_41 = e2) % 31.64/8.75 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 31.64/8.75 | % 31.64/8.75 +-Applying beta-rule and splitting (139), into two cases. % 31.64/8.75 |-Branch one: % 31.64/8.75 | (614) all_0_43_43 = e4 % 31.64/8.75 | % 31.64/8.75 | Combining equations (447,614) yields a new equation: % 31.64/8.75 | (443) e4 = e3 % 31.64/8.75 | % 31.64/8.75 | Equations (443) can reduce 30 to: % 31.64/8.75 | (303) $false % 31.64/8.75 | % 31.64/8.75 |-The branch is then unsatisfiable % 31.64/8.75 |-Branch two: % 31.64/8.75 | (712) ~ (all_0_43_43 = e4) % 31.64/8.75 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 31.64/8.75 | % 31.64/8.75 +-Applying beta-rule and splitting (1017), into two cases. % 31.64/8.75 |-Branch one: % 31.64/8.75 | (696) all_0_41_41 = e1 % 31.64/8.75 | % 31.64/8.75 | Equations (696) can reduce 121 to: % 31.64/8.75 | (6422) ~ (all_0_53_53 = e1) % 31.64/8.75 | % 31.64/8.75 | Simplifying 6422 yields: % 31.64/8.75 | (509) ~ (all_0_53_53 = e1) % 31.64/8.75 | % 31.64/8.75 | Equations (696) can reduce 996 to: % 31.64/8.75 | (465) ~ (e3 = e1) % 31.64/8.75 | % 31.64/8.75 | Simplifying 465 yields: % 31.64/8.75 | (136) ~ (e3 = e1) % 31.64/8.75 | % 31.64/8.75 | From (696) and (211) follows: % 31.64/8.76 | (6426) op(e1, e4) = all_0_1_1 % 31.64/8.76 | % 31.64/8.76 +-Applying beta-rule and splitting (237), into two cases. % 31.64/8.76 |-Branch one: % 31.64/8.76 | (431) all_0_41_41 = e3 % 31.64/8.76 | % 31.64/8.76 | Combining equations (696,431) yields a new equation: % 31.64/8.76 | (601) e3 = e1 % 31.64/8.76 | % 31.64/8.76 | Equations (601) can reduce 136 to: % 31.64/8.76 | (303) $false % 31.64/8.76 | % 31.64/8.76 |-The branch is then unsatisfiable % 31.64/8.76 |-Branch two: % 31.64/8.76 | (996) ~ (all_0_41_41 = e3) % 31.64/8.76 | (997) all_0_53_53 = e3 | all_0_57_57 = e3 % 31.64/8.76 | % 31.64/8.76 | Equations (696) can reduce 996 to: % 31.64/8.76 | (465) ~ (e3 = e1) % 31.64/8.76 | % 31.64/8.76 | Simplifying 465 yields: % 31.64/8.76 | (136) ~ (e3 = e1) % 31.64/8.76 | % 31.64/8.76 +-Applying beta-rule and splitting (713), into two cases. % 31.64/8.76 |-Branch one: % 31.64/8.76 | (714) all_0_50_50 = e4 % 31.64/8.76 | % 31.64/8.76 | Equations (714) can reduce 171 to: % 31.64/8.76 | (6435) ~ (all_0_51_51 = e4) % 31.64/8.76 | % 31.64/8.76 | Simplifying 6435 yields: % 31.64/8.76 | (1504) ~ (all_0_51_51 = e4) % 31.64/8.76 | % 31.64/8.76 | Equations (714) can reduce 258 to: % 31.64/8.76 | (231) ~ (e4 = e2) % 31.64/8.76 | % 31.64/8.76 | From (714) and (186) follows: % 31.64/8.76 | (738) op(e2, e1) = e4 % 31.64/8.76 | % 31.64/8.76 +-Applying beta-rule and splitting (100), into two cases. % 31.64/8.76 |-Branch one: % 31.64/8.76 | (618) all_0_43_43 = e1 % 31.64/8.76 | % 31.64/8.76 | Combining equations (447,618) yields a new equation: % 31.64/8.76 | (680) e3 = e1 % 31.64/8.76 | % 31.64/8.76 | Simplifying 680 yields: % 31.64/8.76 | (601) e3 = e1 % 31.64/8.76 | % 31.64/8.76 | Equations (601) can reduce 136 to: % 31.64/8.76 | (303) $false % 31.64/8.76 | % 31.64/8.76 |-The branch is then unsatisfiable % 31.64/8.76 |-Branch two: % 31.64/8.76 | (622) ~ (all_0_43_43 = e1) % 31.64/8.76 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 31.64/8.76 | % 31.64/8.76 +-Applying beta-rule and splitting (166), into two cases. % 31.64/8.76 |-Branch one: % 31.64/8.76 | (927) all_0_51_51 = e2 % 31.64/8.76 | % 31.64/8.76 | Equations (927) can reduce 373 to: % 31.64/8.76 | (303) $false % 31.64/8.76 | % 31.64/8.76 |-The branch is then unsatisfiable % 31.64/8.76 |-Branch two: % 31.64/8.76 | (373) ~ (all_0_51_51 = e2) % 31.64/8.76 | (6448) all_0_51_51 = e4 | all_0_51_51 = e1 | all_0_51_51 = e0 % 31.64/8.76 | % 31.64/8.76 +-Applying beta-rule and splitting (6448), into two cases. % 31.64/8.76 |-Branch one: % 31.64/8.76 | (1501) all_0_51_51 = e4 % 31.64/8.76 | % 31.64/8.76 | Equations (1501) can reduce 1504 to: % 31.64/8.76 | (303) $false % 31.64/8.76 | % 31.64/8.76 |-The branch is then unsatisfiable % 31.64/8.76 |-Branch two: % 31.64/8.76 | (1504) ~ (all_0_51_51 = e4) % 31.64/8.76 | (6452) all_0_51_51 = e1 | all_0_51_51 = e0 % 31.64/8.76 | % 31.64/8.76 +-Applying beta-rule and splitting (6452), into two cases. % 31.64/8.76 |-Branch one: % 31.64/8.76 | (1590) all_0_51_51 = e1 % 31.64/8.76 | % 31.64/8.76 | Equations (1590) can reduce 13 to: % 31.64/8.76 | (463) ~ (all_0_55_55 = e1) % 31.64/8.76 | % 31.64/8.76 | Simplifying 463 yields: % 31.64/8.76 | (464) ~ (all_0_55_55 = e1) % 31.64/8.76 | % 31.64/8.76 | Equations (1590) can reduce 95 to: % 31.64/8.76 | (1050) ~ (all_0_60_60 = e1) % 31.64/8.76 | % 31.64/8.76 | Simplifying 1050 yields: % 31.64/8.76 | (501) ~ (all_0_60_60 = e1) % 31.64/8.76 | % 31.64/8.76 | Equations (1590) can reduce 1504 to: % 31.64/8.76 | (605) ~ (e4 = e1) % 31.64/8.76 | % 31.64/8.76 | Simplifying 605 yields: % 31.64/8.76 | (247) ~ (e4 = e1) % 31.64/8.76 | % 31.64/8.76 | From (1590) and (18) follows: % 31.64/8.76 | (6460) op(e1, e0) = all_0_22_22 % 31.64/8.76 | % 31.64/8.76 +-Applying beta-rule and splitting (85), into two cases. % 31.64/8.76 |-Branch one: % 31.64/8.76 | (1070) all_0_52_52 = e1 % 31.64/8.76 | % 31.64/8.76 | Equations (1070) can reduce 188 to: % 31.64/8.76 | (683) ~ (all_0_40_40 = e1) % 31.64/8.76 | % 31.64/8.76 | Equations (1070) can reduce 77 to: % 31.64/8.76 | (6422) ~ (all_0_53_53 = e1) % 31.64/8.76 | % 31.64/8.76 | Simplifying 6422 yields: % 31.64/8.76 | (509) ~ (all_0_53_53 = e1) % 31.64/8.76 | % 31.64/8.76 | Equations (1070) can reduce 149 to: % 31.64/8.76 | (1799) ~ (all_0_56_56 = e1) % 31.64/8.76 | % 31.64/8.76 | Simplifying 1799 yields: % 31.64/8.76 | (587) ~ (all_0_56_56 = e1) % 31.64/8.76 | % 31.64/8.76 | Equations (1070) can reduce 78 to: % 31.64/8.76 | (134) ~ (e1 = e0) % 31.64/8.76 | % 31.64/8.76 | From (1070) and (45) follows: % 31.64/8.77 | (6468) op(e1, e4) = all_0_24_24 % 31.64/8.77 | % 31.64/8.77 | From (1070) and (152) follows: % 31.64/8.77 | (1178) op(e1, e4) = e1 % 31.64/8.77 | % 31.64/8.77 +-Applying beta-rule and splitting (6), into two cases. % 31.64/8.77 |-Branch one: % 31.64/8.77 | (442) all_0_52_52 = e4 % 31.64/8.77 | % 31.64/8.77 | Combining equations (1070,442) yields a new equation: % 31.64/8.77 | (541) e4 = e1 % 31.64/8.77 | % 31.64/8.77 | Equations (541) can reduce 247 to: % 31.64/8.77 | (303) $false % 31.64/8.77 | % 31.64/8.77 |-The branch is then unsatisfiable % 31.64/8.77 |-Branch two: % 31.64/8.77 | (445) ~ (all_0_52_52 = e4) % 31.64/8.77 | (446) all_0_54_54 = e4 | all_0_55_55 = e4 % 31.64/8.77 | % 31.64/8.77 +-Applying beta-rule and splitting (446), into two cases. % 31.64/8.77 |-Branch one: % 31.64/8.77 | (469) all_0_54_54 = e4 % 31.64/8.77 | % 31.64/8.77 | Combining equations (271,469) yields a new equation: % 31.64/8.77 | (470) e4 = e2 % 31.64/8.77 | % 31.64/8.77 | Equations (470) can reduce 231 to: % 31.64/8.77 | (303) $false % 31.64/8.77 | % 31.64/8.77 |-The branch is then unsatisfiable % 31.64/8.77 |-Branch two: % 31.64/8.77 | (472) ~ (all_0_54_54 = e4) % 31.64/8.77 | (473) all_0_55_55 = e4 % 31.64/8.77 | % 31.64/8.77 | Equations (473) can reduce 159 to: % 31.64/8.77 | (349) ~ (all_0_60_60 = e4) % 31.64/8.77 | % 31.64/8.77 | Simplifying 349 yields: % 31.64/8.77 | (350) ~ (all_0_60_60 = e4) % 31.64/8.77 | % 31.64/8.77 | Equations (473) can reduce 276 to: % 31.64/8.77 | (231) ~ (e4 = e2) % 31.64/8.77 | % 31.64/8.77 | Equations (473) can reduce 93 to: % 31.64/8.77 | (4) ~ (e4 = e0) % 31.64/8.77 | % 31.64/8.77 | From (473) and (240) follows: % 31.64/8.77 | (479) op(e1, e0) = e4 % 31.64/8.77 | % 31.64/8.77 +-Applying beta-rule and splitting (227), into two cases. % 31.64/8.77 |-Branch one: % 31.64/8.77 | (909) all_0_59_59 = e2 % 31.64/8.77 | % 31.64/8.77 | Equations (909) can reduce 260 to: % 31.64/8.77 | (303) $false % 31.64/8.77 | % 31.64/8.77 |-The branch is then unsatisfiable % 31.64/8.77 |-Branch two: % 31.64/8.77 | (260) ~ (all_0_59_59 = e2) % 31.64/8.77 | (1037) all_0_59_59 = e4 | all_0_59_59 = e3 | all_0_59_59 = e1 % 31.64/8.77 | % 31.64/8.77 +-Applying beta-rule and splitting (209), into two cases. % 31.64/8.77 |-Branch one: % 31.64/8.77 | (1111) all_0_56_56 = e3 % 31.64/8.77 | % 31.64/8.77 | Equations (1111) can reduce 526 to: % 31.64/8.77 | (303) $false % 31.64/8.77 | % 31.64/8.77 |-The branch is then unsatisfiable % 31.64/8.77 |-Branch two: % 31.64/8.77 | (526) ~ (all_0_56_56 = e3) % 31.64/8.77 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 31.64/8.77 | % 31.64/8.77 +-Applying beta-rule and splitting (87), into two cases. % 31.64/8.77 |-Branch one: % 31.64/8.77 | (572) all_0_44_44 = e2 % 31.64/8.77 | % 31.64/8.77 | Equations (572) can reduce 124 to: % 31.64/8.77 | (939) ~ (all_0_40_40 = e2) % 31.64/8.77 | % 31.64/8.77 +-Applying beta-rule and splitting (233), into two cases. % 31.64/8.77 |-Branch one: % 31.64/8.77 | (917) all_0_40_40 = e2 % 31.64/8.77 | % 31.64/8.77 | Equations (917) can reduce 939 to: % 31.64/8.77 | (303) $false % 31.64/8.77 | % 31.64/8.77 |-The branch is then unsatisfiable % 31.64/8.77 |-Branch two: % 31.64/8.77 | (939) ~ (all_0_40_40 = e2) % 31.64/8.77 | (2671) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 31.64/8.77 | % 31.64/8.77 +-Applying beta-rule and splitting (141), into two cases. % 31.64/8.77 |-Branch one: % 31.64/8.77 | (580) all_0_56_56 = e2 % 31.64/8.77 | % 31.64/8.77 | Equations (580) can reduce 42 to: % 31.64/8.77 | (259) ~ (all_0_59_59 = e2) % 31.64/8.77 | % 31.64/8.77 | Simplifying 259 yields: % 31.64/8.77 | (260) ~ (all_0_59_59 = e2) % 31.64/8.77 | % 31.64/8.77 | Equations (580) can reduce 174 to: % 31.64/8.77 | (573) ~ (all_0_60_60 = e2) % 31.64/8.77 | % 31.64/8.77 | Simplifying 573 yields: % 31.64/8.77 | (571) ~ (all_0_60_60 = e2) % 31.64/8.77 | % 31.64/8.77 | Equations (580) can reduce 345 to: % 31.64/8.77 | (261) ~ (e4 = e2) % 31.64/8.77 | % 31.64/8.77 | Simplifying 261 yields: % 31.64/8.77 | (231) ~ (e4 = e2) % 31.64/8.77 | % 31.64/8.77 | Equations (580) can reduce 296 to: % 31.64/8.77 | (51) ~ (e2 = e0) % 31.64/8.77 | % 31.64/8.77 | From (580) and (132) follows: % 31.64/8.77 | (582) op(e0, e4) = e2 % 31.64/8.77 | % 31.64/8.77 +-Applying beta-rule and splitting (21), into two cases. % 31.64/8.77 |-Branch one: % 31.64/8.77 | (723) all_0_40_40 = e4 % 31.64/8.77 | % 31.64/8.77 | Equations (723) can reduce 683 to: % 31.64/8.77 | (247) ~ (e4 = e1) % 31.64/8.77 | % 31.64/8.77 +-Applying beta-rule and splitting (623), into two cases. % 31.64/8.77 |-Branch one: % 31.64/8.77 | (627) all_0_50_50 = e1 % 31.64/8.77 | % 31.64/8.77 | Combining equations (627,714) yields a new equation: % 31.64/8.77 | (541) e4 = e1 % 31.64/8.77 | % 31.64/8.77 | Equations (541) can reduce 247 to: % 31.64/8.77 | (303) $false % 31.64/8.77 | % 31.64/8.77 |-The branch is then unsatisfiable % 31.64/8.77 |-Branch two: % 31.64/8.77 | (678) ~ (all_0_50_50 = e1) % 31.64/8.77 | (600) all_0_59_59 = e1 % 31.64/8.77 | % 31.64/8.77 | Equations (600) can reduce 260 to: % 31.64/8.77 | (565) ~ (e2 = e1) % 31.64/8.77 | % 31.64/8.77 | Simplifying 565 yields: % 31.64/8.77 | (144) ~ (e2 = e1) % 31.64/8.77 | % 31.64/8.77 | Equations (600) can reduce 216 to: % 31.64/8.77 | (134) ~ (e1 = e0) % 31.64/8.77 | % 31.64/8.77 | From (600) and (16) follows: % 31.64/8.77 | (4284) op(e1, e0) = all_0_37_37 % 31.64/8.77 | % 31.64/8.77 +-Applying beta-rule and splitting (363), into two cases. % 31.64/8.77 |-Branch one: % 31.64/8.77 | (462) all_0_53_53 = e1 % 31.64/8.77 | % 31.64/8.77 | Equations (462) can reduce 509 to: % 31.64/8.77 | (303) $false % 31.64/8.77 | % 31.64/8.77 |-The branch is then unsatisfiable % 31.64/8.77 |-Branch two: % 31.64/8.77 | (509) ~ (all_0_53_53 = e1) % 31.64/8.77 | (994) all_0_53_53 = e3 % 31.64/8.77 | % 31.64/8.77 | From (994) and (54) follows: % 31.64/8.77 | (2593) op(e3, e1) = all_0_25_25 % 31.64/8.77 | % 31.64/8.77 | Instantiating formula (29) with e3, e1, all_0_6_6, e2 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = e2, yields: % 31.64/8.77 | (3326) all_0_6_6 = e2 % 31.64/8.77 | % 31.64/8.77 | Instantiating formula (29) with e3, e1, all_0_25_25, all_0_6_6 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = all_0_25_25, yields: % 31.64/8.77 | (6038) all_0_6_6 = all_0_25_25 % 31.64/8.77 | % 31.64/8.77 | Instantiating formula (29) with e1, e4, all_0_24_24, all_0_1_1 and discharging atoms op(e1, e4) = all_0_1_1, op(e1, e4) = all_0_24_24, yields: % 31.64/8.77 | (6526) all_0_1_1 = all_0_24_24 % 31.64/8.77 | % 31.64/8.77 | Instantiating formula (29) with e1, e4, e1, all_0_1_1 and discharging atoms op(e1, e4) = all_0_1_1, op(e1, e4) = e1, yields: % 31.64/8.78 | (6527) all_0_1_1 = e1 % 31.64/8.78 | % 31.64/8.78 | Instantiating formula (29) with e1, e0, all_0_37_37, all_0_22_22 and discharging atoms op(e1, e0) = all_0_22_22, op(e1, e0) = all_0_37_37, yields: % 31.64/8.78 | (6528) all_0_22_22 = all_0_37_37 % 31.64/8.78 | % 31.64/8.78 | Instantiating formula (29) with e1, e0, e4, all_0_22_22 and discharging atoms op(e1, e0) = all_0_22_22, op(e1, e0) = e4, yields: % 31.64/8.78 | (6529) all_0_22_22 = e4 % 31.64/8.78 | % 31.64/8.78 | Combining equations (6526,6527) yields a new equation: % 31.64/8.78 | (6530) all_0_24_24 = e1 % 31.64/8.78 | % 31.64/8.78 | Simplifying 6530 yields: % 32.03/8.78 | (3580) all_0_24_24 = e1 % 32.03/8.78 | % 32.03/8.78 | Combining equations (3326,6038) yields a new equation: % 32.03/8.78 | (2621) all_0_25_25 = e2 % 32.03/8.78 | % 32.03/8.78 | Combining equations (6528,6529) yields a new equation: % 32.03/8.78 | (4413) all_0_37_37 = e4 % 32.03/8.78 | % 32.03/8.78 | Simplifying 4413 yields: % 32.03/8.78 | (4414) all_0_37_37 = e4 % 32.03/8.78 | % 32.03/8.78 | From (2621) and (2593) follows: % 32.03/8.78 | (266) op(e3, e1) = e2 % 32.03/8.78 | % 32.03/8.78 | From (3580) and (6468) follows: % 32.03/8.78 | (1178) op(e1, e4) = e1 % 32.03/8.78 | % 32.03/8.78 | From (4414) and (4284) follows: % 32.03/8.78 | (479) op(e1, e0) = e4 % 32.03/8.78 | % 32.03/8.78 +-Applying beta-rule and splitting (62), into two cases. % 32.03/8.78 |-Branch one: % 32.03/8.78 | (631) unit = e2 % 32.03/8.78 | % 32.03/8.78 | From (631) and (38) follows: % 32.03/8.78 | (1166) op(e2, e1) = e1 % 32.03/8.78 | % 32.03/8.78 | From (631) and (111) follows: % 32.03/8.78 | (1167) op(e0, e2) = e0 % 32.03/8.78 | % 32.03/8.78 | Instantiating formula (29) with e2, e1, e1, e4 and discharging atoms op(e2, e1) = e4, op(e2, e1) = e1, yields: % 32.03/8.78 | (541) e4 = e1 % 32.03/8.78 | % 32.03/8.78 | Instantiating formula (29) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields: % 32.03/8.78 | (654) e4 = e0 % 32.03/8.78 | % 32.03/8.78 | Combining equations (541,654) yields a new equation: % 32.03/8.78 | (670) e1 = e0 % 32.03/8.78 | % 32.03/8.78 | Simplifying 670 yields: % 32.03/8.78 | (590) e1 = e0 % 32.03/8.78 | % 32.03/8.78 | Equations (590) can reduce 134 to: % 32.03/8.78 | (303) $false % 32.03/8.78 | % 32.03/8.78 |-The branch is then unsatisfiable % 32.03/8.78 |-Branch two: % 32.03/8.78 | (599) ~ (unit = e2) % 32.03/8.78 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 32.03/8.78 | % 32.03/8.78 +-Applying beta-rule and splitting (634), into two cases. % 32.03/8.78 |-Branch one: % 32.03/8.78 | (635) unit = e4 % 32.03/8.78 | % 32.03/8.78 | From (635) and (111) follows: % 32.03/8.78 | (638) op(e0, e4) = e0 % 32.03/8.78 | % 32.03/8.78 | Instantiating formula (29) with e0, e4, e0, e2 and discharging atoms op(e0, e4) = e2, op(e0, e4) = e0, yields: % 32.03/8.78 | (385) e2 = e0 % 32.03/8.78 | % 32.03/8.78 | Equations (385) can reduce 51 to: % 32.03/8.78 | (303) $false % 32.03/8.78 | % 32.03/8.78 |-The branch is then unsatisfiable % 32.03/8.78 |-Branch two: % 32.03/8.78 | (484) ~ (unit = e4) % 32.03/8.78 | (647) unit = e3 | unit = e1 | unit = e0 % 32.03/8.78 | % 32.03/8.78 +-Applying beta-rule and splitting (647), into two cases. % 32.03/8.78 |-Branch one: % 32.03/8.78 | (648) unit = e1 % 32.03/8.78 | % 32.03/8.78 | From (648) and (17) follows: % 32.03/8.78 | (649) op(e1, e4) = e4 % 32.03/8.78 | % 32.03/8.78 | From (648) and (189) follows: % 32.03/8.78 | (651) op(e1, e0) = e0 % 32.03/8.78 | % 32.03/8.78 | Instantiating formula (29) with e1, e4, e4, e1 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields: % 32.03/8.78 | (541) e4 = e1 % 32.03/8.78 | % 32.03/8.78 | Instantiating formula (29) with e1, e0, e0, e4 and discharging atoms op(e1, e0) = e4, op(e1, e0) = e0, yields: % 32.03/8.79 | (654) e4 = e0 % 32.03/8.79 | % 32.03/8.79 | Combining equations (654,541) yields a new equation: % 32.03/8.79 | (590) e1 = e0 % 32.03/8.79 | % 32.03/8.79 | Equations (590) can reduce 134 to: % 32.03/8.79 | (303) $false % 32.03/8.79 | % 32.03/8.79 |-The branch is then unsatisfiable % 32.03/8.79 |-Branch two: % 32.03/8.79 | (510) ~ (unit = e1) % 32.03/8.79 | (659) unit = e3 | unit = e0 % 32.03/8.79 | % 32.03/8.79 +-Applying beta-rule and splitting (659), into two cases. % 32.03/8.79 |-Branch one: % 32.03/8.79 | (660) unit = e0 % 32.03/8.79 | % 32.03/8.79 | From (660) and (147) follows: % 32.03/8.79 | (663) op(e0, e2) = e2 % 32.03/8.79 | % 32.03/8.79 | From (660) and (190) follows: % 32.03/8.79 | (665) op(e1, e0) = e1 % 32.03/8.79 | % 32.03/8.79 | Instantiating formula (29) with e1, e0, e1, e4 and discharging atoms op(e1, e0) = e4, op(e1, e0) = e1, yields: % 32.03/8.79 | (541) e4 = e1 % 32.03/8.79 | % 32.03/8.79 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 32.03/8.79 | (470) e4 = e2 % 32.03/8.79 | % 32.03/8.79 | Combining equations (470,541) yields a new equation: % 32.03/8.79 | (584) e2 = e1 % 32.03/8.79 | % 32.03/8.79 | Simplifying 584 yields: % 32.03/8.79 | (585) e2 = e1 % 32.03/8.79 | % 32.03/8.79 | Equations (585) can reduce 144 to: % 32.03/8.79 | (303) $false % 32.03/8.79 | % 32.03/8.79 |-The branch is then unsatisfiable % 32.03/8.79 |-Branch two: % 32.03/8.79 | (537) ~ (unit = e0) % 32.03/8.79 | (674) unit = e3 % 32.03/8.79 | % 32.03/8.79 | From (674) and (38) follows: % 32.03/8.79 | (675) op(e3, e1) = e1 % 32.03/8.79 | % 32.03/8.79 | Instantiating formula (29) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 32.03/8.79 | (585) e2 = e1 % 32.03/8.79 | % 32.03/8.79 | Equations (585) can reduce 144 to: % 32.03/8.79 | (303) $false % 32.03/8.79 | % 32.03/8.79 |-The branch is then unsatisfiable % 32.03/8.79 |-Branch two: % 32.03/8.79 | (844) ~ (all_0_40_40 = e4) % 32.03/8.79 | (6577) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 32.03/8.79 | % 32.03/8.79 +-Applying beta-rule and splitting (220), into two cases. % 32.03/8.79 |-Branch one: % 32.03/8.79 | (913) all_0_60_60 = e2 % 32.03/8.79 | % 32.03/8.79 | Equations (913) can reduce 571 to: % 32.03/8.79 | (303) $false % 32.03/8.79 | % 32.03/8.79 |-The branch is then unsatisfiable % 32.03/8.79 |-Branch two: % 32.03/8.79 | (571) ~ (all_0_60_60 = e2) % 32.03/8.79 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 32.03/8.79 | % 32.03/8.79 +-Applying beta-rule and splitting (1275), into two cases. % 32.03/8.79 |-Branch one: % 32.03/8.79 | (1510) all_0_60_60 = e4 % 32.03/8.79 | % 32.03/8.79 | Equations (1510) can reduce 350 to: % 32.03/8.79 | (303) $false % 32.03/8.79 | % 32.03/8.79 |-The branch is then unsatisfiable % 32.03/8.79 |-Branch two: % 32.03/8.79 | (350) ~ (all_0_60_60 = e4) % 32.03/8.79 | (1906) all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 32.03/8.79 | % 32.03/8.79 +-Applying beta-rule and splitting (1906), into two cases. % 32.03/8.79 |-Branch one: % 32.03/8.79 | (604) all_0_60_60 = e1 % 32.03/8.79 | % 32.03/8.79 | Equations (604) can reduce 501 to: % 32.03/8.79 | (303) $false % 32.03/8.79 | % 32.03/8.79 |-The branch is then unsatisfiable % 32.03/8.79 |-Branch two: % 32.03/8.79 | (501) ~ (all_0_60_60 = e1) % 32.03/8.79 | (1933) all_0_60_60 = e3 | all_0_60_60 = e0 % 32.03/8.79 | % 32.03/8.79 +-Applying beta-rule and splitting (1933), into two cases. % 32.03/8.79 |-Branch one: % 32.03/8.79 | (1934) all_0_60_60 = e0 % 32.03/8.79 | % 32.03/8.79 | Equations (1934) can reduce 414 to: % 32.03/8.79 | (303) $false % 32.03/8.79 | % 32.03/8.79 |-The branch is then unsatisfiable % 32.03/8.79 |-Branch two: % 32.03/8.79 | (414) ~ (all_0_60_60 = e0) % 32.03/8.79 | (1937) all_0_60_60 = e3 % 32.03/8.79 | % 32.03/8.79 | Equations (1937) can reduce 350 to: % 32.03/8.79 | (439) ~ (e4 = e3) % 32.03/8.79 | % 32.03/8.79 | Simplifying 439 yields: % 32.03/8.79 | (30) ~ (e4 = e3) % 32.03/8.79 | % 32.03/8.79 +-Applying beta-rule and splitting (6577), into two cases. % 32.03/8.79 |-Branch one: % 32.03/8.79 | (3175) all_0_42_42 = e4 % 32.03/8.79 | % 32.03/8.79 | Combining equations (324,3175) yields a new equation: % 32.03/8.79 | (654) e4 = e0 % 32.03/8.79 | % 32.03/8.79 | Equations (654) can reduce 4 to: % 32.03/8.79 | (303) $false % 32.03/8.79 | % 32.03/8.79 |-The branch is then unsatisfiable % 32.03/8.79 |-Branch two: % 32.03/8.79 | (6245) ~ (all_0_42_42 = e4) % 32.03/8.79 | (6600) all_0_43_43 = e4 | all_0_44_44 = e4 % 32.03/8.79 | % 32.03/8.79 +-Applying beta-rule and splitting (6600), into two cases. % 32.03/8.79 |-Branch one: % 32.03/8.79 | (614) all_0_43_43 = e4 % 32.03/8.79 | % 32.03/8.79 | Combining equations (447,614) yields a new equation: % 32.03/8.79 | (443) e4 = e3 % 32.03/8.79 | % 32.03/8.79 | Equations (443) can reduce 30 to: % 32.03/8.79 | (303) $false % 32.03/8.79 | % 32.03/8.79 |-The branch is then unsatisfiable % 32.03/8.79 |-Branch two: % 32.03/8.79 | (712) ~ (all_0_43_43 = e4) % 32.03/8.79 | (1096) all_0_44_44 = e4 % 32.03/8.79 | % 32.03/8.79 | Combining equations (572,1096) yields a new equation: % 32.03/8.79 | (470) e4 = e2 % 32.03/8.79 | % 32.03/8.79 | Equations (470) can reduce 231 to: % 32.03/8.79 | (303) $false % 32.03/8.79 | % 32.03/8.79 |-The branch is then unsatisfiable % 32.03/8.79 |-Branch two: % 32.03/8.79 | (594) ~ (all_0_56_56 = e2) % 32.03/8.80 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 32.03/8.80 | % 32.03/8.80 +-Applying beta-rule and splitting (196), into two cases. % 32.03/8.80 |-Branch one: % 32.03/8.80 | (723) all_0_40_40 = e4 % 32.03/8.80 | % 32.03/8.80 | Equations (723) can reduce 57 to: % 32.03/8.80 | (2280) ~ (all_0_56_56 = e4) % 32.03/8.80 | % 32.03/8.80 | Simplifying 2280 yields: % 32.03/8.80 | (345) ~ (all_0_56_56 = e4) % 32.03/8.80 | % 32.03/8.80 | Equations (723) can reduce 683 to: % 32.03/8.80 | (247) ~ (e4 = e1) % 32.03/8.80 | % 32.03/8.80 +-Applying beta-rule and splitting (623), into two cases. % 32.03/8.80 |-Branch one: % 32.03/8.80 | (627) all_0_50_50 = e1 % 32.03/8.80 | % 32.03/8.80 | Combining equations (714,627) yields a new equation: % 32.03/8.80 | (540) e4 = e1 % 32.03/8.80 | % 32.03/8.80 | Simplifying 540 yields: % 32.03/8.80 | (541) e4 = e1 % 32.03/8.80 | % 32.03/8.80 | Equations (541) can reduce 247 to: % 32.03/8.80 | (303) $false % 32.03/8.80 | % 32.03/8.80 |-The branch is then unsatisfiable % 32.03/8.80 |-Branch two: % 32.03/8.80 | (678) ~ (all_0_50_50 = e1) % 32.03/8.80 | (600) all_0_59_59 = e1 % 32.03/8.80 | % 32.03/8.80 | Equations (600) can reduce 42 to: % 32.03/8.80 | (587) ~ (all_0_56_56 = e1) % 32.03/8.80 | % 32.03/8.80 +-Applying beta-rule and splitting (979), into two cases. % 32.03/8.80 |-Branch one: % 32.03/8.80 | (877) all_0_56_56 = e4 % 32.03/8.80 | % 32.03/8.80 | Equations (877) can reduce 345 to: % 32.03/8.80 | (303) $false % 32.03/8.80 | % 32.03/8.80 |-The branch is then unsatisfiable % 32.03/8.80 |-Branch two: % 32.03/8.80 | (345) ~ (all_0_56_56 = e4) % 32.03/8.80 | (2325) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 32.03/8.80 | % 32.03/8.80 +-Applying beta-rule and splitting (2325), into two cases. % 32.03/8.80 |-Branch one: % 32.03/8.80 | (583) all_0_56_56 = e1 % 32.03/8.80 | % 32.03/8.80 | Equations (583) can reduce 587 to: % 32.03/8.80 | (303) $false % 32.03/8.80 | % 32.03/8.80 |-The branch is then unsatisfiable % 32.03/8.80 |-Branch two: % 32.03/8.80 | (587) ~ (all_0_56_56 = e1) % 32.03/8.80 | (2329) all_0_56_56 = e3 | all_0_56_56 = e0 % 32.03/8.80 | % 32.03/8.80 +-Applying beta-rule and splitting (2329), into two cases. % 32.03/8.80 |-Branch one: % 32.03/8.80 | (2307) all_0_56_56 = e0 % 32.03/8.80 | % 32.03/8.80 | Equations (2307) can reduce 296 to: % 32.03/8.80 | (303) $false % 32.03/8.80 | % 32.03/8.80 |-The branch is then unsatisfiable % 32.03/8.80 |-Branch two: % 32.03/8.80 | (296) ~ (all_0_56_56 = e0) % 32.03/8.80 | (1111) all_0_56_56 = e3 % 32.03/8.80 | % 32.03/8.80 | Equations (1111) can reduce 526 to: % 32.03/8.80 | (303) $false % 32.03/8.80 | % 32.03/8.80 |-The branch is then unsatisfiable % 32.11/8.80 |-Branch two: % 32.11/8.80 | (844) ~ (all_0_40_40 = e4) % 32.11/8.80 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 32.11/8.80 | % 32.11/8.80 +-Applying beta-rule and splitting (21), into two cases. % 32.11/8.80 |-Branch one: % 32.11/8.80 | (723) all_0_40_40 = e4 % 32.11/8.80 | % 32.11/8.80 | Equations (723) can reduce 844 to: % 32.11/8.80 | (303) $false % 32.11/8.80 | % 32.11/8.80 |-The branch is then unsatisfiable % 32.11/8.80 |-Branch two: % 32.11/8.80 | (844) ~ (all_0_40_40 = e4) % 32.11/8.80 | (6577) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 32.11/8.80 | % 32.11/8.80 +-Applying beta-rule and splitting (2671), into two cases. % 32.11/8.80 |-Branch one: % 32.11/8.80 | (723) all_0_40_40 = e4 % 32.11/8.80 | % 32.11/8.80 | Equations (723) can reduce 844 to: % 32.11/8.80 | (303) $false % 32.11/8.80 | % 32.11/8.80 |-The branch is then unsatisfiable % 32.11/8.80 |-Branch two: % 32.11/8.80 | (844) ~ (all_0_40_40 = e4) % 32.11/8.80 | (2800) all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 32.11/8.80 | % 32.11/8.80 +-Applying beta-rule and splitting (2800), into two cases. % 32.11/8.80 |-Branch one: % 32.11/8.80 | (624) all_0_40_40 = e1 % 32.11/8.80 | % 32.11/8.80 | Equations (624) can reduce 683 to: % 32.11/8.80 | (303) $false % 32.11/8.80 | % 32.11/8.80 |-The branch is then unsatisfiable % 32.11/8.80 |-Branch two: % 32.11/8.80 | (683) ~ (all_0_40_40 = e1) % 32.11/8.80 | (2833) all_0_40_40 = e3 | all_0_40_40 = e0 % 32.11/8.80 | % 32.11/8.80 +-Applying beta-rule and splitting (2833), into two cases. % 32.11/8.80 |-Branch one: % 32.11/8.80 | (2834) all_0_40_40 = e0 % 32.11/8.80 | % 32.11/8.80 | Equations (2834) can reduce 288 to: % 32.11/8.80 | (303) $false % 32.11/8.80 | % 32.11/8.80 |-The branch is then unsatisfiable % 32.11/8.80 |-Branch two: % 32.11/8.80 | (288) ~ (all_0_40_40 = e0) % 32.11/8.80 | (1102) all_0_40_40 = e3 % 32.11/8.80 | % 32.11/8.80 | Equations (1102) can reduce 432 to: % 32.11/8.80 | (303) $false % 32.11/8.80 | % 32.11/8.80 |-The branch is then unsatisfiable % 32.11/8.80 |-Branch two: % 32.11/8.80 | (915) ~ (all_0_44_44 = e2) % 32.11/8.80 | (2069) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 32.11/8.80 | % 32.11/8.80 +-Applying beta-rule and splitting (112), into two cases. % 32.11/8.80 |-Branch one: % 32.11/8.80 | (572) all_0_44_44 = e2 % 32.11/8.80 | % 32.11/8.80 | Equations (572) can reduce 915 to: % 32.11/8.80 | (303) $false % 32.11/8.80 | % 32.11/8.80 |-The branch is then unsatisfiable % 32.11/8.80 |-Branch two: % 32.11/8.80 | (915) ~ (all_0_44_44 = e2) % 32.11/8.80 | (916) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 32.11/8.80 | % 32.11/8.80 +-Applying beta-rule and splitting (141), into two cases. % 32.11/8.80 |-Branch one: % 32.11/8.80 | (580) all_0_56_56 = e2 % 32.11/8.80 | % 32.11/8.80 | Equations (580) can reduce 57 to: % 32.11/8.80 | (939) ~ (all_0_40_40 = e2) % 32.11/8.80 | % 32.11/8.80 | Equations (580) can reduce 42 to: % 32.11/8.80 | (259) ~ (all_0_59_59 = e2) % 32.11/8.80 | % 32.11/8.80 | Simplifying 259 yields: % 32.11/8.80 | (260) ~ (all_0_59_59 = e2) % 32.11/8.80 | % 32.11/8.80 | Equations (580) can reduce 174 to: % 32.11/8.80 | (573) ~ (all_0_60_60 = e2) % 32.11/8.80 | % 32.11/8.80 | Simplifying 573 yields: % 32.11/8.80 | (571) ~ (all_0_60_60 = e2) % 32.11/8.80 | % 32.11/8.80 | Equations (580) can reduce 296 to: % 32.11/8.80 | (51) ~ (e2 = e0) % 32.11/8.80 | % 32.11/8.80 +-Applying beta-rule and splitting (21), into two cases. % 32.11/8.80 |-Branch one: % 32.11/8.81 | (723) all_0_40_40 = e4 % 32.11/8.81 | % 32.11/8.81 | Equations (723) can reduce 939 to: % 32.11/8.81 | (231) ~ (e4 = e2) % 32.11/8.81 | % 32.11/8.81 | Equations (723) can reduce 683 to: % 32.11/8.81 | (247) ~ (e4 = e1) % 32.11/8.81 | % 32.11/8.81 +-Applying beta-rule and splitting (916), into two cases. % 32.11/8.81 |-Branch one: % 32.11/8.81 | (302) all_0_47_47 = e2 % 32.11/8.81 | % 32.11/8.81 | Combining equations (306,302) yields a new equation: % 32.11/8.81 | (385) e2 = e0 % 32.11/8.81 | % 32.11/8.81 | Equations (385) can reduce 51 to: % 32.11/8.81 | (303) $false % 32.11/8.81 | % 32.11/8.81 |-The branch is then unsatisfiable % 32.11/8.81 |-Branch two: % 32.11/8.81 | (256) ~ (all_0_47_47 = e2) % 32.11/8.81 | (926) all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 32.11/8.81 | % 32.11/8.81 | Equations (306) can reduce 256 to: % 32.11/8.81 | (335) ~ (e2 = e0) % 32.11/8.81 | % 32.11/8.81 | Simplifying 335 yields: % 32.11/8.81 | (51) ~ (e2 = e0) % 32.11/8.81 | % 32.11/8.81 +-Applying beta-rule and splitting (157), into two cases. % 32.11/8.81 |-Branch one: % 32.11/8.81 | (917) all_0_40_40 = e2 % 32.11/8.81 | % 32.11/8.81 | Combining equations (723,917) yields a new equation: % 32.11/8.81 | (878) e4 = e2 % 32.11/8.81 | % 32.11/8.81 | Simplifying 878 yields: % 32.11/8.81 | (470) e4 = e2 % 32.11/8.81 | % 32.11/8.81 | Equations (470) can reduce 231 to: % 32.11/8.81 | (303) $false % 32.11/8.81 | % 32.11/8.81 |-The branch is then unsatisfiable % 32.11/8.81 |-Branch two: % 32.11/8.81 | (939) ~ (all_0_40_40 = e2) % 32.11/8.81 | (940) all_0_41_41 = e2 | all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 32.11/8.81 | % 32.11/8.81 +-Applying beta-rule and splitting (623), into two cases. % 32.11/8.81 |-Branch one: % 32.11/8.81 | (627) all_0_50_50 = e1 % 32.11/8.81 | % 32.11/8.81 | Combining equations (714,627) yields a new equation: % 32.11/8.81 | (540) e4 = e1 % 32.11/8.81 | % 32.11/8.81 | Simplifying 540 yields: % 32.11/8.81 | (541) e4 = e1 % 32.11/8.81 | % 32.11/8.81 | Equations (541) can reduce 247 to: % 32.11/8.81 | (303) $false % 32.11/8.81 | % 32.11/8.81 |-The branch is then unsatisfiable % 32.11/8.81 |-Branch two: % 32.11/8.81 | (678) ~ (all_0_50_50 = e1) % 32.11/8.81 | (600) all_0_59_59 = e1 % 32.11/8.81 | % 32.11/8.81 | Equations (600) can reduce 164 to: % 32.11/8.81 | (1050) ~ (all_0_60_60 = e1) % 32.11/8.81 | % 32.11/8.81 | Simplifying 1050 yields: % 32.11/8.81 | (501) ~ (all_0_60_60 = e1) % 32.11/8.81 | % 32.11/8.81 | Equations (600) can reduce 260 to: % 32.11/8.81 | (565) ~ (e2 = e1) % 32.11/8.81 | % 32.11/8.81 | Simplifying 565 yields: % 32.11/8.81 | (144) ~ (e2 = e1) % 32.11/8.81 | % 32.11/8.81 +-Applying beta-rule and splitting (220), into two cases. % 32.11/8.81 |-Branch one: % 32.11/8.81 | (913) all_0_60_60 = e2 % 32.11/8.81 | % 32.11/8.81 | Equations (913) can reduce 571 to: % 32.11/8.81 | (303) $false % 32.11/8.81 | % 32.11/8.81 |-The branch is then unsatisfiable % 32.11/8.81 |-Branch two: % 32.11/8.81 | (571) ~ (all_0_60_60 = e2) % 32.11/8.81 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 32.11/8.81 | % 32.11/8.81 +-Applying beta-rule and splitting (1275), into two cases. % 32.11/8.81 |-Branch one: % 32.11/8.81 | (1510) all_0_60_60 = e4 % 32.11/8.81 | % 32.11/8.81 | Equations (1510) can reduce 350 to: % 32.11/8.81 | (303) $false % 32.11/8.81 | % 32.11/8.81 |-The branch is then unsatisfiable % 32.11/8.81 |-Branch two: % 32.11/8.81 | (350) ~ (all_0_60_60 = e4) % 32.11/8.81 | (1906) all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 32.11/8.81 | % 32.11/8.81 +-Applying beta-rule and splitting (1906), into two cases. % 32.11/8.81 |-Branch one: % 32.11/8.81 | (604) all_0_60_60 = e1 % 32.11/8.81 | % 32.11/8.81 | Equations (604) can reduce 501 to: % 32.11/8.81 | (303) $false % 32.11/8.81 | % 32.11/8.81 |-The branch is then unsatisfiable % 32.11/8.81 |-Branch two: % 32.11/8.81 | (501) ~ (all_0_60_60 = e1) % 32.11/8.81 | (1933) all_0_60_60 = e3 | all_0_60_60 = e0 % 32.11/8.81 | % 32.11/8.81 +-Applying beta-rule and splitting (1933), into two cases. % 32.11/8.81 |-Branch one: % 32.11/8.81 | (1934) all_0_60_60 = e0 % 32.11/8.81 | % 32.11/8.81 | Equations (1934) can reduce 414 to: % 32.11/8.81 | (303) $false % 32.11/8.81 | % 32.11/8.81 |-The branch is then unsatisfiable % 32.11/8.81 |-Branch two: % 32.11/8.81 | (414) ~ (all_0_60_60 = e0) % 32.11/8.81 | (1937) all_0_60_60 = e3 % 32.11/8.81 | % 32.11/8.81 | Equations (1937) can reduce 571 to: % 32.11/8.81 | (223) ~ (e3 = e2) % 32.11/8.81 | % 32.11/8.81 +-Applying beta-rule and splitting (940), into two cases. % 32.11/8.81 |-Branch one: % 32.11/8.81 | (945) all_0_41_41 = e2 % 32.11/8.81 | % 32.11/8.81 | Combining equations (696,945) yields a new equation: % 32.11/8.81 | (585) e2 = e1 % 32.11/8.81 | % 32.11/8.81 | Equations (585) can reduce 144 to: % 32.11/8.81 | (303) $false % 32.11/8.81 | % 32.11/8.81 |-The branch is then unsatisfiable % 32.11/8.81 |-Branch two: % 32.11/8.81 | (369) ~ (all_0_41_41 = e2) % 32.11/8.81 | (949) all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 32.11/8.81 | % 32.11/8.81 +-Applying beta-rule and splitting (949), into two cases. % 32.11/8.81 |-Branch one: % 32.11/8.81 | (959) all_0_42_42 = e2 % 32.11/8.81 | % 32.11/8.81 | Combining equations (324,959) yields a new equation: % 32.11/8.81 | (385) e2 = e0 % 32.11/8.81 | % 32.11/8.81 | Equations (385) can reduce 51 to: % 32.11/8.81 | (303) $false % 32.11/8.81 | % 32.11/8.81 |-The branch is then unsatisfiable % 32.11/8.81 |-Branch two: % 32.11/8.81 | (272) ~ (all_0_42_42 = e2) % 32.11/8.81 | (964) all_0_43_43 = e2 | all_0_44_44 = e2 % 32.11/8.81 | % 32.11/8.81 +-Applying beta-rule and splitting (964), into two cases. % 32.11/8.81 |-Branch one: % 32.11/8.81 | (965) all_0_43_43 = e2 % 32.11/8.81 | % 32.11/8.81 | Combining equations (447,965) yields a new equation: % 32.11/8.81 | (452) e3 = e2 % 32.11/8.81 | % 32.11/8.81 | Simplifying 452 yields: % 32.11/8.81 | (453) e3 = e2 % 32.11/8.81 | % 32.11/8.81 | Equations (453) can reduce 223 to: % 32.11/8.81 | (303) $false % 32.11/8.81 | % 32.11/8.81 |-The branch is then unsatisfiable % 32.11/8.81 |-Branch two: % 32.11/8.81 | (253) ~ (all_0_43_43 = e2) % 32.11/8.81 | (572) all_0_44_44 = e2 % 32.11/8.81 | % 32.11/8.81 | Equations (572) can reduce 915 to: % 32.11/8.81 | (303) $false % 32.11/8.81 | % 32.11/8.81 |-The branch is then unsatisfiable % 32.11/8.81 |-Branch two: % 32.11/8.81 | (844) ~ (all_0_40_40 = e4) % 32.11/8.81 | (6577) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 32.11/8.81 | % 32.11/8.81 +-Applying beta-rule and splitting (157), into two cases. % 32.11/8.81 |-Branch one: % 32.11/8.81 | (917) all_0_40_40 = e2 % 32.11/8.81 | % 32.11/8.81 | Equations (917) can reduce 939 to: % 32.11/8.81 | (303) $false % 32.11/8.81 | % 32.11/8.81 |-The branch is then unsatisfiable % 32.11/8.81 |-Branch two: % 32.11/8.81 | (939) ~ (all_0_40_40 = e2) % 32.11/8.81 | (940) all_0_41_41 = e2 | all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 32.11/8.81 | % 32.11/8.81 +-Applying beta-rule and splitting (196), into two cases. % 32.11/8.81 |-Branch one: % 32.11/8.81 | (723) all_0_40_40 = e4 % 32.11/8.81 | % 32.11/8.81 | Equations (723) can reduce 844 to: % 32.11/8.81 | (303) $false % 32.11/8.81 | % 32.11/8.81 |-The branch is then unsatisfiable % 32.11/8.81 |-Branch two: % 32.11/8.81 | (844) ~ (all_0_40_40 = e4) % 32.11/8.81 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 32.11/8.81 | % 32.11/8.81 +-Applying beta-rule and splitting (233), into two cases. % 32.11/8.81 |-Branch one: % 32.11/8.81 | (917) all_0_40_40 = e2 % 32.11/8.81 | % 32.11/8.81 | Equations (917) can reduce 939 to: % 32.11/8.81 | (303) $false % 32.11/8.81 | % 32.11/8.81 |-The branch is then unsatisfiable % 32.11/8.81 |-Branch two: % 32.11/8.82 | (939) ~ (all_0_40_40 = e2) % 32.11/8.82 | (2671) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 32.11/8.82 | % 32.11/8.82 +-Applying beta-rule and splitting (2671), into two cases. % 32.11/8.82 |-Branch one: % 32.11/8.82 | (723) all_0_40_40 = e4 % 32.11/8.82 | % 32.11/8.82 | Equations (723) can reduce 844 to: % 32.11/8.82 | (303) $false % 32.11/8.82 | % 32.11/8.82 |-The branch is then unsatisfiable % 32.11/8.82 |-Branch two: % 32.11/8.82 | (844) ~ (all_0_40_40 = e4) % 32.11/8.82 | (2800) all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 32.11/8.82 | % 32.11/8.82 +-Applying beta-rule and splitting (2800), into two cases. % 32.11/8.82 |-Branch one: % 32.11/8.82 | (624) all_0_40_40 = e1 % 32.11/8.82 | % 32.11/8.82 | Equations (624) can reduce 683 to: % 32.11/8.82 | (303) $false % 32.11/8.82 | % 32.11/8.82 |-The branch is then unsatisfiable % 32.11/8.82 |-Branch two: % 32.11/8.82 | (683) ~ (all_0_40_40 = e1) % 32.11/8.82 | (2833) all_0_40_40 = e3 | all_0_40_40 = e0 % 32.11/8.82 | % 32.11/8.82 +-Applying beta-rule and splitting (2833), into two cases. % 32.11/8.82 |-Branch one: % 32.11/8.82 | (2834) all_0_40_40 = e0 % 32.11/8.82 | % 32.11/8.82 | Equations (2834) can reduce 288 to: % 32.11/8.82 | (303) $false % 32.11/8.82 | % 32.11/8.82 |-The branch is then unsatisfiable % 32.11/8.82 |-Branch two: % 32.11/8.82 | (288) ~ (all_0_40_40 = e0) % 32.11/8.82 | (1102) all_0_40_40 = e3 % 32.11/8.82 | % 32.11/8.82 | Equations (1102) can reduce 432 to: % 32.11/8.82 | (303) $false % 32.11/8.82 | % 32.11/8.82 |-The branch is then unsatisfiable % 32.11/8.82 |-Branch two: % 32.11/8.82 | (594) ~ (all_0_56_56 = e2) % 32.11/8.82 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 32.11/8.82 | % 32.11/8.82 +-Applying beta-rule and splitting (61), into two cases. % 32.11/8.82 |-Branch one: % 32.11/8.82 | (580) all_0_56_56 = e2 % 32.11/8.82 | % 32.11/8.82 | Equations (580) can reduce 594 to: % 32.11/8.82 | (303) $false % 32.11/8.82 | % 32.11/8.82 |-The branch is then unsatisfiable % 32.11/8.82 |-Branch two: % 32.11/8.82 | (594) ~ (all_0_56_56 = e2) % 32.11/8.82 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 32.11/8.82 | % 32.11/8.82 +-Applying beta-rule and splitting (157), into two cases. % 32.11/8.82 |-Branch one: % 32.11/8.82 | (917) all_0_40_40 = e2 % 32.11/8.82 | % 32.11/8.82 | Equations (917) can reduce 288 to: % 32.11/8.82 | (51) ~ (e2 = e0) % 32.11/8.82 | % 32.11/8.82 +-Applying beta-rule and splitting (896), into two cases. % 32.11/8.82 |-Branch one: % 32.11/8.82 | (897) all_0_57_57 = e2 % 32.11/8.82 | % 32.11/8.82 | Combining equations (407,897) yields a new equation: % 32.11/8.82 | (385) e2 = e0 % 32.11/8.82 | % 32.11/8.82 | Equations (385) can reduce 51 to: % 32.11/8.82 | (303) $false % 32.11/8.82 | % 32.11/8.82 |-The branch is then unsatisfiable % 32.11/8.82 |-Branch two: % 32.11/8.82 | (377) ~ (all_0_57_57 = e2) % 32.11/8.82 | (902) all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 32.11/8.82 | % 32.11/8.82 | Equations (407) can reduce 377 to: % 32.11/8.82 | (335) ~ (e2 = e0) % 32.11/8.82 | % 32.11/8.82 | Simplifying 335 yields: % 32.11/8.82 | (51) ~ (e2 = e0) % 32.11/8.82 | % 32.11/8.82 +-Applying beta-rule and splitting (196), into two cases. % 32.11/8.82 |-Branch one: % 32.11/8.82 | (723) all_0_40_40 = e4 % 32.11/8.82 | % 32.11/8.82 | Combining equations (917,723) yields a new equation: % 32.11/8.82 | (470) e4 = e2 % 32.11/8.82 | % 32.11/8.82 | Equations (470) can reduce 231 to: % 32.11/8.82 | (303) $false % 32.11/8.82 | % 32.11/8.82 |-The branch is then unsatisfiable % 32.11/8.82 |-Branch two: % 32.11/8.82 | (844) ~ (all_0_40_40 = e4) % 32.11/8.82 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 32.11/8.82 | % 32.11/8.82 | Equations (917) can reduce 844 to: % 32.11/8.82 | (261) ~ (e4 = e2) % 32.11/8.82 | % 32.11/8.82 | Simplifying 261 yields: % 32.11/8.82 | (231) ~ (e4 = e2) % 32.11/8.82 | % 32.11/8.82 +-Applying beta-rule and splitting (21), into two cases. % 32.11/8.82 |-Branch one: % 32.11/8.82 | (723) all_0_40_40 = e4 % 32.11/8.82 | % 32.11/8.82 | Combining equations (917,723) yields a new equation: % 32.11/8.82 | (470) e4 = e2 % 32.11/8.82 | % 32.11/8.82 | Equations (470) can reduce 231 to: % 32.11/8.82 | (303) $false % 32.11/8.82 | % 32.11/8.82 |-The branch is then unsatisfiable % 32.11/8.82 |-Branch two: % 32.11/8.82 | (844) ~ (all_0_40_40 = e4) % 32.11/8.82 | (6577) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 32.11/8.82 | % 32.11/8.82 | Equations (917) can reduce 844 to: % 32.11/8.82 | (261) ~ (e4 = e2) % 32.11/8.82 | % 32.11/8.82 | Simplifying 261 yields: % 32.11/8.82 | (231) ~ (e4 = e2) % 32.11/8.82 | % 32.11/8.82 +-Applying beta-rule and splitting (245), into two cases. % 32.11/8.82 |-Branch one: % 32.11/8.82 | (583) all_0_56_56 = e1 % 32.11/8.82 | % 32.11/8.82 | Equations (583) can reduce 587 to: % 32.11/8.82 | (303) $false % 32.11/8.82 | % 32.11/8.82 |-The branch is then unsatisfiable % 32.11/8.82 |-Branch two: % 32.11/8.82 | (587) ~ (all_0_56_56 = e1) % 32.11/8.82 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 32.11/8.82 | % 32.11/8.82 +-Applying beta-rule and splitting (363), into two cases. % 32.11/8.82 |-Branch one: % 32.11/8.82 | (462) all_0_53_53 = e1 % 32.11/8.82 | % 32.11/8.82 | Equations (462) can reduce 509 to: % 32.11/8.82 | (303) $false % 32.11/8.82 | % 32.11/8.82 |-The branch is then unsatisfiable % 32.11/8.82 |-Branch two: % 32.11/8.82 | (509) ~ (all_0_53_53 = e1) % 32.11/8.82 | (994) all_0_53_53 = e3 % 32.11/8.82 | % 32.11/8.82 | Equations (994) can reduce 274 to: % 32.11/8.82 | (223) ~ (e3 = e2) % 32.11/8.82 | % 32.11/8.82 | Equations (994) can reduce 140 to: % 32.11/8.82 | (70) ~ (e3 = e0) % 32.11/8.82 | % 32.11/8.82 +-Applying beta-rule and splitting (588), into two cases. % 32.11/8.82 |-Branch one: % 32.11/8.82 | (589) all_0_57_57 = e1 % 32.11/8.82 | % 32.11/8.82 | Combining equations (589,407) yields a new equation: % 32.11/8.82 | (670) e1 = e0 % 32.11/8.82 | % 32.11/8.82 | Simplifying 670 yields: % 32.11/8.82 | (590) e1 = e0 % 32.11/8.82 | % 32.11/8.82 | Equations (590) can reduce 134 to: % 32.11/8.82 | (303) $false % 32.11/8.82 | % 32.11/8.82 |-The branch is then unsatisfiable % 32.11/8.82 |-Branch two: % 32.11/8.82 | (592) ~ (all_0_57_57 = e1) % 32.11/8.82 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 32.11/8.82 | % 32.11/8.82 +-Applying beta-rule and splitting (593), into two cases. % 32.11/8.82 |-Branch one: % 32.11/8.82 | (600) all_0_59_59 = e1 % 32.11/8.82 | % 32.11/8.82 | Equations (600) can reduce 1031 to: % 32.11/8.82 | (465) ~ (e3 = e1) % 32.11/8.82 | % 32.11/8.82 | Simplifying 465 yields: % 32.11/8.82 | (136) ~ (e3 = e1) % 32.11/8.82 | % 32.11/8.82 | Equations (600) can reduce 260 to: % 32.11/8.82 | (565) ~ (e2 = e1) % 32.11/8.82 | % 32.11/8.82 | Simplifying 565 yields: % 32.11/8.82 | (144) ~ (e2 = e1) % 32.11/8.82 | % 32.11/8.82 +-Applying beta-rule and splitting (1491), into two cases. % 32.11/8.82 |-Branch one: % 32.11/8.82 | (1001) all_0_57_57 = e3 % 32.11/8.82 | % 32.11/8.82 | Combining equations (407,1001) yields a new equation: % 32.11/8.82 | (497) e3 = e0 % 32.11/8.82 | % 32.11/8.82 | Equations (497) can reduce 70 to: % 32.11/8.82 | (303) $false % 32.11/8.82 | % 32.11/8.82 |-The branch is then unsatisfiable % 32.11/8.82 |-Branch two: % 32.11/8.82 | (2590) ~ (all_0_57_57 = e3) % 32.11/8.83 | (2977) all_0_59_59 = e3 | all_0_60_60 = e3 % 32.11/8.83 | % 32.11/8.83 +-Applying beta-rule and splitting (2977), into two cases. % 32.11/8.83 |-Branch one: % 32.11/8.83 | (456) all_0_59_59 = e3 % 32.11/8.83 | % 32.11/8.83 | Combining equations (456,600) yields a new equation: % 32.11/8.83 | (680) e3 = e1 % 32.11/8.83 | % 32.11/8.83 | Simplifying 680 yields: % 32.11/8.83 | (601) e3 = e1 % 32.11/8.83 | % 32.11/8.83 | Equations (601) can reduce 136 to: % 32.11/8.83 | (303) $false % 32.11/8.83 | % 32.11/8.83 |-The branch is then unsatisfiable % 32.11/8.83 |-Branch two: % 32.11/8.83 | (1031) ~ (all_0_59_59 = e3) % 32.11/8.83 | (1937) all_0_60_60 = e3 % 32.11/8.83 | % 32.11/8.83 +-Applying beta-rule and splitting (916), into two cases. % 32.11/8.83 |-Branch one: % 32.11/8.83 | (302) all_0_47_47 = e2 % 32.11/8.83 | % 32.11/8.83 | Combining equations (306,302) yields a new equation: % 32.11/8.83 | (385) e2 = e0 % 32.11/8.83 | % 32.11/8.83 | Equations (385) can reduce 51 to: % 32.11/8.83 | (303) $false % 32.11/8.83 | % 32.11/8.83 |-The branch is then unsatisfiable % 32.11/8.83 |-Branch two: % 32.11/8.83 | (256) ~ (all_0_47_47 = e2) % 32.11/8.83 | (926) all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 32.11/8.83 | % 32.11/8.83 +-Applying beta-rule and splitting (926), into two cases. % 32.11/8.83 |-Branch one: % 32.11/8.83 | (927) all_0_51_51 = e2 % 32.11/8.83 | % 32.11/8.83 | Combining equations (927,1590) yields a new equation: % 32.11/8.83 | (584) e2 = e1 % 32.11/8.83 | % 32.11/8.83 | Simplifying 584 yields: % 32.11/8.83 | (585) e2 = e1 % 32.11/8.83 | % 32.11/8.83 | Equations (585) can reduce 144 to: % 32.11/8.83 | (303) $false % 32.11/8.83 | % 32.11/8.83 |-The branch is then unsatisfiable % 32.11/8.83 |-Branch two: % 32.11/8.83 | (373) ~ (all_0_51_51 = e2) % 32.11/8.83 | (931) all_0_55_55 = e2 | all_0_60_60 = e2 % 32.11/8.83 | % 32.11/8.83 +-Applying beta-rule and splitting (931), into two cases. % 32.11/8.83 |-Branch one: % 32.11/8.83 | (932) all_0_55_55 = e2 % 32.11/8.83 | % 32.11/8.83 | Combining equations (473,932) yields a new equation: % 32.11/8.83 | (878) e4 = e2 % 32.11/8.83 | % 32.11/8.83 | Simplifying 878 yields: % 32.11/8.83 | (470) e4 = e2 % 32.11/8.83 | % 32.11/8.83 | Equations (470) can reduce 231 to: % 32.11/8.83 | (303) $false % 32.11/8.83 | % 32.11/8.83 |-The branch is then unsatisfiable % 32.11/8.83 |-Branch two: % 32.11/8.83 | (276) ~ (all_0_55_55 = e2) % 32.11/8.83 | (913) all_0_60_60 = e2 % 32.11/8.83 | % 32.11/8.83 | Combining equations (913,1937) yields a new equation: % 32.11/8.83 | (453) e3 = e2 % 32.11/8.83 | % 32.11/8.83 | Equations (453) can reduce 223 to: % 32.11/8.83 | (303) $false % 32.11/8.83 | % 32.11/8.83 |-The branch is then unsatisfiable % 32.11/8.83 |-Branch two: % 32.11/8.83 | (603) ~ (all_0_59_59 = e1) % 32.11/8.83 | (604) all_0_60_60 = e1 % 32.11/8.83 | % 32.11/8.83 | Equations (604) can reduce 501 to: % 32.11/8.83 | (303) $false % 32.11/8.83 | % 32.11/8.83 |-The branch is then unsatisfiable % 32.11/8.83 |-Branch two: % 32.11/8.83 | (939) ~ (all_0_40_40 = e2) % 32.11/8.83 | (940) all_0_41_41 = e2 | all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 32.11/8.83 | % 32.11/8.83 +-Applying beta-rule and splitting (96), into two cases. % 32.11/8.83 |-Branch one: % 32.11/8.83 | (917) all_0_40_40 = e2 % 32.11/8.83 | % 32.11/8.83 | Equations (917) can reduce 939 to: % 32.11/8.83 | (303) $false % 32.11/8.83 | % 32.11/8.83 |-The branch is then unsatisfiable % 32.11/8.83 |-Branch two: % 32.11/8.83 | (939) ~ (all_0_40_40 = e2) % 32.11/8.83 | (944) all_0_45_45 = e2 | all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 32.11/8.83 | % 32.11/8.83 +-Applying beta-rule and splitting (196), into two cases. % 32.11/8.83 |-Branch one: % 32.11/8.83 | (723) all_0_40_40 = e4 % 32.11/8.83 | % 32.11/8.83 | Equations (723) can reduce 683 to: % 32.11/8.83 | (247) ~ (e4 = e1) % 32.11/8.83 | % 32.11/8.83 +-Applying beta-rule and splitting (896), into two cases. % 32.11/8.83 |-Branch one: % 32.11/8.83 | (897) all_0_57_57 = e2 % 32.11/8.83 | % 32.11/8.83 | Combining equations (407,897) yields a new equation: % 32.11/8.83 | (385) e2 = e0 % 32.11/8.83 | % 32.11/8.83 | Equations (385) can reduce 51 to: % 32.11/8.83 | (303) $false % 32.11/8.83 | % 32.11/8.83 |-The branch is then unsatisfiable % 32.11/8.83 |-Branch two: % 32.11/8.83 | (377) ~ (all_0_57_57 = e2) % 32.11/8.83 | (902) all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 32.11/8.83 | % 32.11/8.83 | Equations (407) can reduce 377 to: % 32.11/8.83 | (335) ~ (e2 = e0) % 32.11/8.83 | % 32.11/8.83 | Simplifying 335 yields: % 32.11/8.83 | (51) ~ (e2 = e0) % 32.11/8.83 | % 32.11/8.83 +-Applying beta-rule and splitting (623), into two cases. % 32.11/8.83 |-Branch one: % 32.11/8.83 | (627) all_0_50_50 = e1 % 32.11/8.83 | % 32.11/8.83 | Combining equations (714,627) yields a new equation: % 32.11/8.83 | (540) e4 = e1 % 32.11/8.83 | % 32.11/8.83 | Simplifying 540 yields: % 32.11/8.83 | (541) e4 = e1 % 32.11/8.83 | % 32.11/8.83 | Equations (541) can reduce 247 to: % 32.11/8.83 | (303) $false % 32.11/8.83 | % 32.11/8.83 |-The branch is then unsatisfiable % 32.11/8.83 |-Branch two: % 32.11/8.83 | (678) ~ (all_0_50_50 = e1) % 32.11/8.83 | (600) all_0_59_59 = e1 % 32.11/8.83 | % 32.11/8.83 | Equations (600) can reduce 260 to: % 32.11/8.83 | (565) ~ (e2 = e1) % 32.11/8.83 | % 32.11/8.83 | Simplifying 565 yields: % 32.11/8.83 | (144) ~ (e2 = e1) % 32.11/8.83 | % 32.11/8.83 +-Applying beta-rule and splitting (940), into two cases. % 32.11/8.83 |-Branch one: % 32.11/8.83 | (945) all_0_41_41 = e2 % 32.11/8.83 | % 32.11/8.83 | Combining equations (696,945) yields a new equation: % 32.11/8.83 | (585) e2 = e1 % 32.11/8.83 | % 32.11/8.83 | Equations (585) can reduce 144 to: % 32.11/8.83 | (303) $false % 32.11/8.83 | % 32.11/8.83 |-The branch is then unsatisfiable % 32.11/8.83 |-Branch two: % 32.11/8.83 | (369) ~ (all_0_41_41 = e2) % 32.11/8.83 | (949) all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 32.11/8.83 | % 32.11/8.83 +-Applying beta-rule and splitting (363), into two cases. % 32.11/8.83 |-Branch one: % 32.11/8.83 | (462) all_0_53_53 = e1 % 32.11/8.83 | % 32.11/8.83 | Equations (462) can reduce 509 to: % 32.11/8.83 | (303) $false % 32.11/8.83 | % 32.11/8.83 |-The branch is then unsatisfiable % 32.11/8.83 |-Branch two: % 32.11/8.83 | (509) ~ (all_0_53_53 = e1) % 32.11/8.83 | (994) all_0_53_53 = e3 % 32.11/8.83 | % 32.11/8.83 | Equations (994) can reduce 274 to: % 32.11/8.83 | (223) ~ (e3 = e2) % 32.11/8.83 | % 32.11/8.83 +-Applying beta-rule and splitting (949), into two cases. % 32.11/8.83 |-Branch one: % 32.11/8.83 | (959) all_0_42_42 = e2 % 32.11/8.83 | % 32.11/8.83 | Combining equations (324,959) yields a new equation: % 32.11/8.83 | (385) e2 = e0 % 32.11/8.83 | % 32.11/8.83 | Equations (385) can reduce 51 to: % 32.11/8.83 | (303) $false % 32.11/8.83 | % 32.11/8.83 |-The branch is then unsatisfiable % 32.11/8.83 |-Branch two: % 32.25/8.83 | (272) ~ (all_0_42_42 = e2) % 32.25/8.83 | (964) all_0_43_43 = e2 | all_0_44_44 = e2 % 32.25/8.83 | % 32.25/8.83 +-Applying beta-rule and splitting (964), into two cases. % 32.25/8.83 |-Branch one: % 32.25/8.83 | (965) all_0_43_43 = e2 % 32.25/8.83 | % 32.25/8.83 | Combining equations (447,965) yields a new equation: % 32.25/8.83 | (452) e3 = e2 % 32.25/8.83 | % 32.25/8.83 | Simplifying 452 yields: % 32.25/8.83 | (453) e3 = e2 % 32.25/8.83 | % 32.25/8.83 | Equations (453) can reduce 223 to: % 32.25/8.83 | (303) $false % 32.25/8.83 | % 32.25/8.83 |-The branch is then unsatisfiable % 32.25/8.83 |-Branch two: % 32.25/8.83 | (253) ~ (all_0_43_43 = e2) % 32.25/8.83 | (572) all_0_44_44 = e2 % 32.25/8.83 | % 32.25/8.83 | Equations (572) can reduce 915 to: % 32.25/8.83 | (303) $false % 32.25/8.83 | % 32.25/8.83 |-The branch is then unsatisfiable % 32.25/8.83 |-Branch two: % 32.25/8.83 | (844) ~ (all_0_40_40 = e4) % 32.25/8.83 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 32.25/8.83 | % 32.25/8.83 +-Applying beta-rule and splitting (21), into two cases. % 32.25/8.83 |-Branch one: % 32.25/8.83 | (723) all_0_40_40 = e4 % 32.25/8.83 | % 32.25/8.83 | Equations (723) can reduce 844 to: % 32.25/8.83 | (303) $false % 32.25/8.83 | % 32.25/8.83 |-The branch is then unsatisfiable % 32.25/8.83 |-Branch two: % 32.25/8.83 | (844) ~ (all_0_40_40 = e4) % 32.25/8.84 | (6577) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 32.25/8.84 | % 32.25/8.84 +-Applying beta-rule and splitting (233), into two cases. % 32.25/8.84 |-Branch one: % 32.25/8.84 | (917) all_0_40_40 = e2 % 32.25/8.84 | % 32.25/8.84 | Equations (917) can reduce 939 to: % 32.25/8.84 | (303) $false % 32.25/8.84 | % 32.25/8.84 |-The branch is then unsatisfiable % 32.25/8.84 |-Branch two: % 32.25/8.84 | (939) ~ (all_0_40_40 = e2) % 32.25/8.84 | (2671) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 32.25/8.84 | % 32.25/8.84 +-Applying beta-rule and splitting (2671), into two cases. % 32.25/8.84 |-Branch one: % 32.25/8.84 | (723) all_0_40_40 = e4 % 32.25/8.84 | % 32.25/8.84 | Equations (723) can reduce 844 to: % 32.25/8.84 | (303) $false % 32.25/8.84 | % 32.25/8.84 |-The branch is then unsatisfiable % 32.25/8.84 |-Branch two: % 32.25/8.84 | (844) ~ (all_0_40_40 = e4) % 32.25/8.84 | (2800) all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 32.25/8.84 | % 32.25/8.84 +-Applying beta-rule and splitting (2800), into two cases. % 32.25/8.84 |-Branch one: % 32.25/8.84 | (624) all_0_40_40 = e1 % 32.25/8.84 | % 32.25/8.84 | Equations (624) can reduce 683 to: % 32.25/8.84 | (303) $false % 32.25/8.84 | % 32.25/8.84 |-The branch is then unsatisfiable % 32.25/8.84 |-Branch two: % 32.25/8.84 | (683) ~ (all_0_40_40 = e1) % 32.25/8.84 | (2833) all_0_40_40 = e3 | all_0_40_40 = e0 % 32.25/8.84 | % 32.25/8.84 +-Applying beta-rule and splitting (2833), into two cases. % 32.25/8.84 |-Branch one: % 32.25/8.84 | (2834) all_0_40_40 = e0 % 32.25/8.84 | % 32.25/8.84 | Equations (2834) can reduce 288 to: % 32.25/8.84 | (303) $false % 32.25/8.84 | % 32.25/8.84 |-The branch is then unsatisfiable % 32.25/8.84 |-Branch two: % 32.25/8.84 | (288) ~ (all_0_40_40 = e0) % 32.25/8.84 | (1102) all_0_40_40 = e3 % 32.25/8.84 | % 32.25/8.84 | Equations (1102) can reduce 432 to: % 32.25/8.84 | (303) $false % 32.25/8.84 | % 32.25/8.84 |-The branch is then unsatisfiable % 32.25/8.84 |-Branch two: % 32.25/8.84 | (502) ~ (all_0_52_52 = e1) % 32.25/8.84 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 32.25/8.84 | % 32.25/8.84 +-Applying beta-rule and splitting (1073), into two cases. % 32.25/8.84 |-Branch one: % 32.25/8.84 | (462) all_0_53_53 = e1 % 32.25/8.84 | % 32.25/8.84 | Equations (462) can reduce 509 to: % 32.25/8.84 | (303) $false % 32.25/8.84 | % 32.25/8.84 |-The branch is then unsatisfiable % 32.25/8.84 |-Branch two: % 32.25/8.84 | (509) ~ (all_0_53_53 = e1) % 32.25/8.84 | (530) all_0_55_55 = e1 % 32.25/8.84 | % 32.25/8.84 | Equations (530) can reduce 464 to: % 32.25/8.84 | (303) $false % 32.25/8.84 | % 32.25/8.84 |-The branch is then unsatisfiable % 32.25/8.84 |-Branch two: % 32.25/8.84 | (500) ~ (all_0_51_51 = e1) % 32.25/8.84 | (388) all_0_51_51 = e0 % 32.25/8.84 | % 32.25/8.84 | Equations (388) can reduce 2347 to: % 32.25/8.84 | (303) $false % 32.25/8.84 | % 32.25/8.84 |-The branch is then unsatisfiable % 32.25/8.84 |-Branch two: % 32.25/8.84 | (611) ~ (all_0_50_50 = e4) % 32.25/8.84 | (717) all_0_59_59 = e4 % 32.25/8.84 | % 32.25/8.84 | Equations (717) can reduce 348 to: % 32.25/8.84 | (303) $false % 32.25/8.84 | % 32.25/8.84 |-The branch is then unsatisfiable % 32.25/8.84 |-Branch two: % 32.25/8.84 | (699) ~ (all_0_41_41 = e1) % 32.25/8.84 | (2158) all_0_41_41 = e3 | all_0_41_41 = e0 % 32.25/8.84 | % 32.25/8.84 +-Applying beta-rule and splitting (237), into two cases. % 32.25/8.84 |-Branch one: % 32.25/8.84 | (431) all_0_41_41 = e3 % 32.25/8.84 | % 32.25/8.84 | Equations (431) can reduce 996 to: % 32.25/8.84 | (303) $false % 32.25/8.84 | % 32.25/8.84 |-The branch is then unsatisfiable % 32.25/8.84 |-Branch two: % 32.25/8.84 | (996) ~ (all_0_41_41 = e3) % 32.25/8.84 | (997) all_0_53_53 = e3 | all_0_57_57 = e3 % 32.25/8.84 | % 32.25/8.84 +-Applying beta-rule and splitting (2158), into two cases. % 32.25/8.84 |-Branch one: % 32.25/8.84 | (398) all_0_41_41 = e0 % 32.25/8.84 | % 32.25/8.84 | Equations (398) can reduce 326 to: % 32.25/8.84 | (303) $false % 32.25/8.84 | % 32.25/8.84 |-The branch is then unsatisfiable % 32.25/8.84 |-Branch two: % 32.25/8.84 | (326) ~ (all_0_41_41 = e0) % 32.25/8.84 | (431) all_0_41_41 = e3 % 32.25/8.84 | % 32.25/8.84 | Equations (431) can reduce 996 to: % 32.25/8.84 | (303) $false % 32.25/8.84 | % 32.25/8.84 |-The branch is then unsatisfiable % 32.25/8.84 |-Branch two: % 32.25/8.84 | (434) ~ (all_0_43_43 = e3) % 32.25/8.84 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 32.25/8.84 | % 32.25/8.84 +-Applying beta-rule and splitting (450), into two cases. % 32.25/8.84 |-Branch one: % 32.25/8.84 | (451) all_0_46_46 = e3 % 32.25/8.84 | % 32.25/8.84 | Combining equations (451,252) yields a new equation: % 32.25/8.84 | (452) e3 = e2 % 32.25/8.84 | % 32.25/8.84 | Simplifying 452 yields: % 32.25/8.84 | (453) e3 = e2 % 32.25/8.84 | % 32.25/8.84 | Equations (453) can reduce 223 to: % 32.25/8.84 | (303) $false % 32.25/8.84 | % 32.25/8.84 |-The branch is then unsatisfiable % 32.25/8.84 |-Branch two: % 32.25/8.84 | (455) ~ (all_0_46_46 = e3) % 32.25/8.84 | (456) all_0_59_59 = e3 % 32.25/8.84 | % 32.25/8.84 | Equations (456) can reduce 126 to: % 32.25/8.84 | (15) ~ (all_0_50_50 = e3) % 32.25/8.84 | % 32.25/8.84 | Equations (456) can reduce 42 to: % 32.25/8.84 | (526) ~ (all_0_56_56 = e3) % 32.25/8.84 | % 32.25/8.84 | Equations (456) can reduce 164 to: % 32.25/8.84 | (315) ~ (all_0_60_60 = e3) % 32.25/8.84 | % 32.25/8.84 | Simplifying 315 yields: % 32.25/8.84 | (316) ~ (all_0_60_60 = e3) % 32.25/8.84 | % 32.25/8.84 | Equations (456) can reduce 260 to: % 32.25/8.84 | (223) ~ (e3 = e2) % 32.25/8.84 | % 32.25/8.84 | Equations (456) can reduce 216 to: % 32.25/8.84 | (70) ~ (e3 = e0) % 32.25/8.84 | % 32.25/8.84 | From (456) and (33) follows: % 32.25/8.84 | (5473) op(e3, e1) = all_0_38_38 % 32.25/8.84 | % 32.25/8.84 | From (456) and (90) follows: % 32.25/8.84 | (461) op(e0, e1) = e3 % 32.25/8.84 | % 32.25/8.84 | Instantiating formula (29) with e3, e1, all_0_38_38, e2 and discharging atoms op(e3, e1) = all_0_38_38, op(e3, e1) = e2, yields: % 32.25/8.85 | (5549) all_0_38_38 = e2 % 32.25/8.85 | % 32.25/8.85 | From (5549) and (5473) follows: % 32.25/8.85 | (266) op(e3, e1) = e2 % 32.25/8.85 | % 32.25/8.85 +-Applying beta-rule and splitting (234), into two cases. % 32.25/8.85 |-Branch one: % 32.25/8.85 | (609) all_0_48_48 = e4 % 32.25/8.85 | % 32.25/8.85 | Combining equations (380,609) yields a new equation: % 32.25/8.85 | (654) e4 = e0 % 32.25/8.85 | % 32.25/8.85 | Equations (654) can reduce 4 to: % 32.25/8.85 | (303) $false % 32.25/8.85 | % 32.25/8.85 |-The branch is then unsatisfiable % 32.25/8.85 |-Branch two: % 32.25/8.85 | (721) ~ (all_0_48_48 = e4) % 32.25/8.85 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 32.25/8.85 | % 32.25/8.85 +-Applying beta-rule and splitting (6), into two cases. % 32.25/8.85 |-Branch one: % 32.25/8.85 | (442) all_0_52_52 = e4 % 32.25/8.85 | % 32.25/8.85 | Equations (442) can reduce 188 to: % 32.25/8.85 | (844) ~ (all_0_40_40 = e4) % 32.25/8.85 | % 32.25/8.85 | Equations (442) can reduce 77 to: % 32.25/8.85 | (6953) ~ (all_0_53_53 = e4) % 32.25/8.85 | % 32.25/8.85 | Simplifying 6953 yields: % 32.25/8.85 | (229) ~ (all_0_53_53 = e4) % 32.25/8.85 | % 32.25/8.85 | Equations (442) can reduce 169 to: % 32.25/8.85 | (6955) ~ (all_0_55_55 = e4) % 32.25/8.85 | % 32.25/8.85 | Simplifying 6955 yields: % 32.25/8.85 | (492) ~ (all_0_55_55 = e4) % 32.25/8.85 | % 32.25/8.85 | Equations (442) can reduce 149 to: % 32.25/8.85 | (2280) ~ (all_0_56_56 = e4) % 32.25/8.85 | % 32.25/8.85 | Simplifying 2280 yields: % 32.25/8.85 | (345) ~ (all_0_56_56 = e4) % 32.25/8.85 | % 32.25/8.85 | Equations (442) can reduce 521 to: % 32.25/8.85 | (30) ~ (e4 = e3) % 32.25/8.85 | % 32.25/8.85 +-Applying beta-rule and splitting (139), into two cases. % 32.25/8.85 |-Branch one: % 32.25/8.85 | (614) all_0_43_43 = e4 % 32.25/8.85 | % 32.25/8.85 | Equations (614) can reduce 8 to: % 32.25/8.85 | (844) ~ (all_0_40_40 = e4) % 32.25/8.85 | % 32.25/8.85 | Equations (614) can reduce 82 to: % 32.25/8.85 | (1736) ~ (all_0_44_44 = e4) % 32.25/8.85 | % 32.25/8.85 | Simplifying 1736 yields: % 32.25/8.85 | (474) ~ (all_0_44_44 = e4) % 32.25/8.85 | % 32.25/8.85 +-Applying beta-rule and splitting (100), into two cases. % 32.25/8.85 |-Branch one: % 32.25/8.85 | (618) all_0_43_43 = e1 % 32.25/8.85 | % 32.25/8.85 | Combining equations (614,618) yields a new equation: % 32.25/8.85 | (540) e4 = e1 % 32.25/8.85 | % 32.25/8.85 | Simplifying 540 yields: % 32.25/8.85 | (541) e4 = e1 % 32.25/8.85 | % 32.25/8.85 | Equations (541) can reduce 247 to: % 32.25/8.85 | (303) $false % 32.25/8.85 | % 32.25/8.85 |-The branch is then unsatisfiable % 32.25/8.85 |-Branch two: % 32.25/8.85 | (622) ~ (all_0_43_43 = e1) % 32.25/8.85 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 32.25/8.85 | % 32.25/8.85 +-Applying beta-rule and splitting (241), into two cases. % 32.25/8.85 |-Branch one: % 32.25/8.85 | (1096) all_0_44_44 = e4 % 32.25/8.85 | % 32.25/8.85 | Equations (1096) can reduce 474 to: % 32.25/8.85 | (303) $false % 32.25/8.85 | % 32.25/8.85 |-The branch is then unsatisfiable % 32.25/8.85 |-Branch two: % 32.25/8.85 | (474) ~ (all_0_44_44 = e4) % 32.25/8.85 | (1500) all_0_51_51 = e4 | all_0_55_55 = e4 | all_0_60_60 = e4 % 32.25/8.85 | % 32.25/8.85 +-Applying beta-rule and splitting (1500), into two cases. % 32.25/8.85 |-Branch one: % 32.25/8.85 | (1501) all_0_51_51 = e4 % 32.25/8.85 | % 32.25/8.85 | Equations (1501) can reduce 161 to: % 32.25/8.85 | (474) ~ (all_0_44_44 = e4) % 32.25/8.85 | % 32.25/8.85 | Equations (1501) can reduce 171 to: % 32.25/8.85 | (611) ~ (all_0_50_50 = e4) % 32.25/8.85 | % 32.25/8.85 | Equations (1501) can reduce 2347 to: % 32.25/8.85 | (4) ~ (e4 = e0) % 32.25/8.85 | % 32.25/8.85 +-Applying beta-rule and splitting (623), into two cases. % 32.25/8.85 |-Branch one: % 32.25/8.85 | (627) all_0_50_50 = e1 % 32.25/8.85 | % 32.25/8.85 | Equations (627) can reduce 611 to: % 32.25/8.85 | (605) ~ (e4 = e1) % 32.25/8.85 | % 32.25/8.85 | Simplifying 605 yields: % 32.25/8.85 | (247) ~ (e4 = e1) % 32.25/8.85 | % 32.25/8.85 | Equations (627) can reduce 15 to: % 32.25/8.85 | (465) ~ (e3 = e1) % 32.25/8.85 | % 32.25/8.85 | Simplifying 465 yields: % 32.25/8.85 | (136) ~ (e3 = e1) % 32.25/8.85 | % 32.25/8.85 | Equations (627) can reduce 258 to: % 32.25/8.85 | (565) ~ (e2 = e1) % 32.25/8.85 | % 32.25/8.85 | Simplifying 565 yields: % 32.25/8.85 | (144) ~ (e2 = e1) % 32.25/8.85 | % 32.25/8.85 | Equations (627) can reduce 207 to: % 32.25/8.85 | (134) ~ (e1 = e0) % 32.25/8.85 | % 32.25/8.85 | From (627) and (186) follows: % 32.25/8.85 | (1166) op(e2, e1) = e1 % 32.25/8.85 | % 32.25/8.85 +-Applying beta-rule and splitting (85), into two cases. % 32.25/8.85 |-Branch one: % 32.25/8.85 | (1070) all_0_52_52 = e1 % 32.25/8.85 | % 32.25/8.85 | Combining equations (1070,442) yields a new equation: % 32.25/8.85 | (541) e4 = e1 % 32.25/8.85 | % 32.25/8.85 | Equations (541) can reduce 247 to: % 32.25/8.85 | (303) $false % 32.25/8.85 | % 32.25/8.85 |-The branch is then unsatisfiable % 32.25/8.85 |-Branch two: % 32.25/8.85 | (502) ~ (all_0_52_52 = e1) % 32.25/8.85 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 32.25/8.85 | % 32.25/8.85 +-Applying beta-rule and splitting (237), into two cases. % 32.25/8.85 |-Branch one: % 32.25/8.85 | (431) all_0_41_41 = e3 % 32.25/8.85 | % 32.25/8.85 | Equations (431) can reduce 151 to: % 32.25/8.85 | (432) ~ (all_0_40_40 = e3) % 32.25/8.85 | % 32.25/8.85 | Equations (431) can reduce 176 to: % 32.25/8.85 | (435) ~ (all_0_44_44 = e3) % 32.25/8.85 | % 32.25/8.85 | Simplifying 435 yields: % 32.25/8.85 | (310) ~ (all_0_44_44 = e3) % 32.25/8.85 | % 32.25/8.85 | Equations (431) can reduce 326 to: % 32.25/8.85 | (70) ~ (e3 = e0) % 32.25/8.85 | % 32.25/8.85 +-Applying beta-rule and splitting (221), into two cases. % 32.25/8.85 |-Branch one: % 32.25/8.85 | (696) all_0_41_41 = e1 % 32.25/8.85 | % 32.25/8.85 | Combining equations (431,696) yields a new equation: % 32.25/8.85 | (680) e3 = e1 % 32.25/8.85 | % 32.25/8.85 | Simplifying 680 yields: % 32.25/8.85 | (601) e3 = e1 % 32.25/8.85 | % 32.25/8.85 | Equations (601) can reduce 136 to: % 32.25/8.85 | (303) $false % 32.25/8.85 | % 32.25/8.85 |-The branch is then unsatisfiable % 32.25/8.85 |-Branch two: % 32.25/8.85 | (699) ~ (all_0_41_41 = e1) % 32.25/8.85 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 32.25/8.85 | % 32.25/8.85 +-Applying beta-rule and splitting (195), into two cases. % 32.25/8.85 |-Branch one: % 32.25/8.85 | (2081) all_0_44_44 = e3 % 32.25/8.85 | % 32.25/8.85 | Equations (2081) can reduce 310 to: % 32.25/8.85 | (303) $false % 32.25/8.85 | % 32.25/8.85 |-The branch is then unsatisfiable % 32.25/8.85 |-Branch two: % 32.25/8.85 | (310) ~ (all_0_44_44 = e3) % 32.25/8.86 | (7006) all_0_47_47 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 32.25/8.86 | % 32.25/8.86 +-Applying beta-rule and splitting (7006), into two cases. % 32.25/8.86 |-Branch one: % 32.25/8.86 | (309) all_0_47_47 = e3 % 32.25/8.86 | % 32.25/8.86 | Combining equations (309,306) yields a new equation: % 32.25/8.86 | (496) e3 = e0 % 32.25/8.86 | % 32.25/8.86 | Simplifying 496 yields: % 32.25/8.86 | (497) e3 = e0 % 32.25/8.86 | % 32.25/8.86 | Equations (497) can reduce 70 to: % 32.25/8.86 | (303) $false % 32.25/8.86 | % 32.25/8.86 |-The branch is then unsatisfiable % 32.25/8.86 |-Branch two: % 32.25/8.86 | (516) ~ (all_0_47_47 = e3) % 32.25/8.86 | (7012) all_0_55_55 = e3 | all_0_60_60 = e3 % 32.25/8.86 | % 32.25/8.86 +-Applying beta-rule and splitting (7012), into two cases. % 32.25/8.86 |-Branch one: % 32.25/8.86 | (2165) all_0_55_55 = e3 % 32.25/8.86 | % 32.25/8.86 | Equations (2165) can reduce 59 to: % 32.25/8.86 | (310) ~ (all_0_44_44 = e3) % 32.25/8.86 | % 32.25/8.86 | Equations (2165) can reduce 131 to: % 32.25/8.86 | (428) ~ (all_0_53_53 = e3) % 32.25/8.86 | % 32.25/8.86 | From (2165) and (155) follows: % 32.25/8.86 | (7016) op(e3, e1) = all_0_29_29 % 32.25/8.86 | % 32.25/8.86 +-Applying beta-rule and splitting (2154), into two cases. % 32.25/8.86 |-Branch one: % 32.25/8.86 | (1580) all_0_49_49 = e1 % 32.25/8.86 | % 32.25/8.86 | Combining equations (1580,368) yields a new equation: % 32.25/8.86 | (585) e2 = e1 % 32.25/8.86 | % 32.25/8.86 | Equations (585) can reduce 144 to: % 32.25/8.86 | (303) $false % 32.25/8.86 | % 32.25/8.86 |-The branch is then unsatisfiable % 32.25/8.86 |-Branch two: % 32.25/8.86 | (506) ~ (all_0_49_49 = e1) % 32.25/8.86 | (2676) all_0_53_53 = e1 | all_0_57_57 = e1 % 32.25/8.86 | % 32.25/8.86 +-Applying beta-rule and splitting (2676), into two cases. % 32.25/8.86 |-Branch one: % 32.25/8.86 | (462) all_0_53_53 = e1 % 32.25/8.86 | % 32.25/8.86 | Equations (462) can reduce 428 to: % 32.25/8.86 | (465) ~ (e3 = e1) % 32.25/8.86 | % 32.25/8.86 | Simplifying 465 yields: % 32.25/8.86 | (136) ~ (e3 = e1) % 32.25/8.86 | % 32.25/8.86 | Instantiating formula (29) with e3, e1, all_0_29_29, e2 and discharging atoms op(e3, e1) = all_0_29_29, op(e3, e1) = e2, yields: % 32.25/8.86 | (7025) all_0_29_29 = e2 % 32.25/8.86 | % 32.25/8.86 | From (7025) and (7016) follows: % 32.25/8.86 | (266) op(e3, e1) = e2 % 32.25/8.86 | % 32.25/8.86 +-Applying beta-rule and splitting (233), into two cases. % 32.25/8.86 |-Branch one: % 32.25/8.86 | (917) all_0_40_40 = e2 % 32.25/8.86 | % 32.25/8.86 | Equations (917) can reduce 57 to: % 32.25/8.86 | (2174) ~ (all_0_56_56 = e2) % 32.25/8.86 | % 32.25/8.86 | Simplifying 2174 yields: % 32.25/8.86 | (594) ~ (all_0_56_56 = e2) % 32.25/8.86 | % 32.25/8.86 +-Applying beta-rule and splitting (56), into two cases. % 32.25/8.86 |-Branch one: % 32.25/8.86 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 32.25/8.86 | % 32.25/8.86 +-Applying beta-rule and splitting (480), into two cases. % 32.25/8.86 |-Branch one: % 32.25/8.86 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 32.25/8.86 | % 32.25/8.86 +-Applying beta-rule and splitting (481), into two cases. % 32.25/8.86 |-Branch one: % 32.25/8.86 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 32.25/8.86 | % 32.25/8.86 +-Applying beta-rule and splitting (482), into two cases. % 32.25/8.86 |-Branch one: % 32.25/8.86 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 32.25/8.86 | % 32.25/8.86 | Applying alpha-rule on (483) yields: % 32.25/8.86 | (484) ~ (unit = e4) % 32.25/8.86 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 32.25/8.86 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 32.25/8.87 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 32.25/8.87 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 32.25/8.87 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 32.25/8.87 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 32.25/8.87 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 32.25/8.87 | (492) ~ (all_0_55_55 = e4) % 32.25/8.87 | (493) all_0_45_45 = e3 % 32.25/8.87 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 32.25/8.87 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 32.25/8.87 | % 32.25/8.87 +-Applying beta-rule and splitting (61), into two cases. % 32.25/8.87 |-Branch one: % 32.25/8.87 | (580) all_0_56_56 = e2 % 32.25/8.87 | % 32.25/8.87 | Equations (580) can reduce 594 to: % 32.25/8.87 | (303) $false % 32.25/8.87 | % 32.25/8.87 |-The branch is then unsatisfiable % 32.25/8.87 |-Branch two: % 32.25/8.87 | (594) ~ (all_0_56_56 = e2) % 32.25/8.87 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 32.25/8.87 | % 32.25/8.87 +-Applying beta-rule and splitting (141), into two cases. % 32.25/8.87 |-Branch one: % 32.25/8.87 | (580) all_0_56_56 = e2 % 32.25/8.87 | % 32.25/8.87 | Equations (580) can reduce 594 to: % 32.25/8.87 | (303) $false % 32.25/8.87 | % 32.25/8.87 |-The branch is then unsatisfiable % 32.25/8.87 |-Branch two: % 32.25/8.87 | (594) ~ (all_0_56_56 = e2) % 32.25/8.87 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 32.25/8.87 | % 32.25/8.87 +-Applying beta-rule and splitting (489), into two cases. % 32.25/8.87 |-Branch one: % 32.25/8.87 | (3161) ~ (all_0_58_58 = e4) % 32.25/8.87 | % 32.25/8.87 | Equations (344) can reduce 3161 to: % 32.25/8.87 | (303) $false % 32.25/8.87 | % 32.25/8.87 |-The branch is then unsatisfiable % 32.25/8.87 |-Branch two: % 32.25/8.87 | (344) all_0_58_58 = e4 % 32.25/8.87 | (580) all_0_56_56 = e2 % 32.25/8.87 | % 32.25/8.87 | Equations (580) can reduce 594 to: % 32.25/8.87 | (303) $false % 32.25/8.87 | % 32.25/8.87 |-The branch is then unsatisfiable % 32.25/8.87 |-Branch two: % 32.25/8.87 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 32.25/8.87 | % 32.25/8.87 | Applying alpha-rule on (499) yields: % 32.25/8.87 | (500) ~ (all_0_51_51 = e1) % 32.25/8.87 | (501) ~ (all_0_60_60 = e1) % 32.25/8.87 | (502) ~ (all_0_52_52 = e1) % 32.25/8.87 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 32.25/8.87 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 32.25/8.87 | (252) all_0_46_46 = e2 % 32.25/8.87 | (506) ~ (all_0_49_49 = e1) % 32.25/8.87 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 32.25/8.87 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 32.25/8.87 | (509) ~ (all_0_53_53 = e1) % 32.25/8.87 | (510) ~ (unit = e1) % 32.25/8.87 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 32.25/8.87 | (512) ~ (all_0_44_44 = e1) % 32.25/8.87 | % 32.25/8.87 | Equations (462) can reduce 509 to: % 32.25/8.87 | (303) $false % 32.25/8.87 | % 32.25/8.87 |-The branch is then unsatisfiable % 32.25/8.87 |-Branch two: % 32.25/8.87 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 32.25/8.87 | % 32.25/8.87 | Applying alpha-rule on (514) yields: % 32.25/8.87 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 32.25/8.87 | (516) ~ (all_0_47_47 = e3) % 32.25/8.87 | (314) ~ (all_0_55_55 = e3) % 32.25/8.87 | (368) all_0_49_49 = e2 % 32.25/8.87 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 32.25/8.87 | (520) ~ (unit = e3) % 32.25/8.87 | (521) ~ (all_0_52_52 = e3) % 32.25/8.87 | (455) ~ (all_0_46_46 = e3) % 32.25/8.87 | (432) ~ (all_0_40_40 = e3) % 32.25/8.87 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 32.25/8.87 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 32.25/8.87 | (526) ~ (all_0_56_56 = e3) % 32.25/8.87 | % 32.25/8.87 | Equations (2165) can reduce 314 to: % 32.25/8.87 | (303) $false % 32.25/8.87 | % 32.25/8.87 |-The branch is then unsatisfiable % 32.25/8.87 |-Branch two: % 32.25/8.87 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 32.25/8.87 | % 32.25/8.87 | Applying alpha-rule on (528) yields: % 32.25/8.87 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 32.25/8.87 | (530) all_0_55_55 = e1 % 32.25/8.87 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 32.25/8.87 | (387) ~ (all_0_49_49 = e0) % 32.25/8.87 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 32.25/8.87 | (534) ~ (all_0_45_45 = e0) % 32.25/8.87 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 32.25/8.87 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 32.25/8.87 | (537) ~ (unit = e0) % 32.25/8.87 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 32.25/8.87 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 32.25/8.87 | % 32.25/8.87 | Combining equations (530,2165) yields a new equation: % 32.25/8.87 | (601) e3 = e1 % 32.25/8.87 | % 32.25/8.87 | Equations (601) can reduce 136 to: % 32.25/8.87 | (303) $false % 32.25/8.87 | % 32.25/8.87 |-The branch is then unsatisfiable % 32.25/8.87 |-Branch two: % 32.25/8.87 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 32.25/8.87 | % 32.25/8.87 | Applying alpha-rule on (543) yields: % 32.25/8.87 | (544) ~ (all_0_48_48 = e2) % 32.25/8.87 | (369) ~ (all_0_41_41 = e2) % 32.25/8.87 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 32.25/8.87 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 32.25/8.87 | (253) ~ (all_0_43_43 = e2) % 32.25/8.87 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 32.25/8.87 | (276) ~ (all_0_55_55 = e2) % 32.25/8.87 | (260) ~ (all_0_59_59 = e2) % 32.25/8.87 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 32.25/8.87 | (274) ~ (all_0_53_53 = e2) % 32.25/8.87 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 32.25/8.87 | (373) ~ (all_0_51_51 = e2) % 32.25/8.87 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 32.25/8.87 | (256) ~ (all_0_47_47 = e2) % 32.25/8.87 | (377) ~ (all_0_57_57 = e2) % 32.25/8.87 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 32.25/8.87 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 32.25/8.87 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 32.25/8.87 | (258) ~ (all_0_50_50 = e2) % 32.25/8.87 | (254) ~ (all_0_45_45 = e2) % 32.25/8.87 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 32.25/8.87 | % 32.25/8.87 +-Applying beta-rule and splitting (556), into two cases. % 32.25/8.87 |-Branch one: % 32.25/8.87 | (939) ~ (all_0_40_40 = e2) % 32.25/8.87 | % 32.25/8.87 | Equations (917) can reduce 939 to: % 32.25/8.87 | (303) $false % 32.25/8.87 | % 32.25/8.87 |-The branch is then unsatisfiable % 32.25/8.87 |-Branch two: % 32.25/8.87 | (917) all_0_40_40 = e2 % 32.25/8.88 | (7127) all_0_42_42 = e4 & ~ (unit = e2) % 32.25/8.88 | % 32.25/8.88 | Applying alpha-rule on (7127) yields: % 32.25/8.88 | (3175) all_0_42_42 = e4 % 32.25/8.88 | (599) ~ (unit = e2) % 32.25/8.88 | % 32.25/8.88 | Combining equations (324,3175) yields a new equation: % 32.25/8.88 | (654) e4 = e0 % 32.25/8.88 | % 32.25/8.88 | Equations (654) can reduce 4 to: % 32.25/8.88 | (303) $false % 32.25/8.88 | % 32.25/8.88 |-The branch is then unsatisfiable % 32.25/8.88 |-Branch two: % 32.25/8.88 | (939) ~ (all_0_40_40 = e2) % 32.25/8.88 | (2671) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 32.25/8.88 | % 32.25/8.88 +-Applying beta-rule and splitting (2671), into two cases. % 32.25/8.88 |-Branch one: % 32.25/8.88 | (723) all_0_40_40 = e4 % 32.25/8.88 | % 32.25/8.88 | Equations (723) can reduce 844 to: % 32.25/8.88 | (303) $false % 32.25/8.88 | % 32.25/8.88 |-The branch is then unsatisfiable % 32.25/8.88 |-Branch two: % 32.25/8.88 | (844) ~ (all_0_40_40 = e4) % 32.25/8.88 | (2800) all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 32.25/8.88 | % 32.25/8.88 +-Applying beta-rule and splitting (2800), into two cases. % 32.25/8.88 |-Branch one: % 32.25/8.88 | (624) all_0_40_40 = e1 % 32.25/8.88 | % 32.25/8.88 | Equations (624) can reduce 124 to: % 32.25/8.88 | (1022) ~ (all_0_44_44 = e1) % 32.25/8.88 | % 32.25/8.88 | Simplifying 1022 yields: % 32.25/8.88 | (512) ~ (all_0_44_44 = e1) % 32.25/8.88 | % 32.25/8.88 | Equations (624) can reduce 57 to: % 32.25/8.88 | (1799) ~ (all_0_56_56 = e1) % 32.25/8.88 | % 32.25/8.88 | Simplifying 1799 yields: % 32.25/8.88 | (587) ~ (all_0_56_56 = e1) % 32.25/8.88 | % 32.25/8.88 | Equations (624) can reduce 844 to: % 32.25/8.88 | (605) ~ (e4 = e1) % 32.25/8.88 | % 32.25/8.88 | Simplifying 605 yields: % 32.25/8.88 | (247) ~ (e4 = e1) % 32.25/8.88 | % 32.25/8.88 | Equations (624) can reduce 432 to: % 32.25/8.88 | (465) ~ (e3 = e1) % 32.25/8.88 | % 32.25/8.88 | Simplifying 465 yields: % 32.25/8.88 | (136) ~ (e3 = e1) % 32.25/8.88 | % 32.25/8.88 +-Applying beta-rule and splitting (87), into two cases. % 32.25/8.88 |-Branch one: % 32.25/8.88 | (572) all_0_44_44 = e2 % 32.25/8.88 | % 32.25/8.88 +-Applying beta-rule and splitting (61), into two cases. % 32.25/8.88 |-Branch one: % 32.25/8.88 | (580) all_0_56_56 = e2 % 32.25/8.88 | % 32.25/8.88 | Equations (580) can reduce 174 to: % 32.25/8.88 | (573) ~ (all_0_60_60 = e2) % 32.25/8.88 | % 32.25/8.88 | Simplifying 573 yields: % 32.25/8.88 | (571) ~ (all_0_60_60 = e2) % 32.25/8.88 | % 32.25/8.88 | Equations (580) can reduce 587 to: % 32.25/8.88 | (144) ~ (e2 = e1) % 32.25/8.88 | % 32.25/8.88 | Equations (580) can reduce 296 to: % 32.25/8.88 | (51) ~ (e2 = e0) % 32.25/8.88 | % 32.25/8.88 | From (580) and (132) follows: % 32.25/8.88 | (582) op(e0, e4) = e2 % 32.25/8.88 | % 32.25/8.88 +-Applying beta-rule and splitting (220), into two cases. % 32.25/8.88 |-Branch one: % 32.25/8.88 | (913) all_0_60_60 = e2 % 32.25/8.88 | % 32.25/8.88 | Equations (913) can reduce 571 to: % 32.25/8.88 | (303) $false % 32.25/8.88 | % 32.25/8.88 |-The branch is then unsatisfiable % 32.25/8.88 |-Branch two: % 32.25/8.88 | (571) ~ (all_0_60_60 = e2) % 32.25/8.88 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 32.25/8.88 | % 32.25/8.88 +-Applying beta-rule and splitting (27), into two cases. % 32.25/8.88 |-Branch one: % 32.25/8.88 | (705) all_0_44_44 = e1 % 32.25/8.88 | % 32.25/8.88 | Combining equations (705,572) yields a new equation: % 32.25/8.88 | (585) e2 = e1 % 32.25/8.88 | % 32.25/8.88 | Equations (585) can reduce 144 to: % 32.25/8.88 | (303) $false % 32.25/8.88 | % 32.25/8.88 |-The branch is then unsatisfiable % 32.25/8.88 |-Branch two: % 32.25/8.88 | (512) ~ (all_0_44_44 = e1) % 32.25/8.88 | (1589) all_0_51_51 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1 % 32.25/8.88 | % 32.25/8.88 +-Applying beta-rule and splitting (1589), into two cases. % 32.25/8.88 |-Branch one: % 32.25/8.88 | (1590) all_0_51_51 = e1 % 32.25/8.88 | % 32.25/8.88 | Combining equations (1501,1590) yields a new equation: % 32.25/8.88 | (540) e4 = e1 % 32.25/8.88 | % 32.25/8.88 | Simplifying 540 yields: % 32.25/8.88 | (541) e4 = e1 % 32.25/8.88 | % 32.25/8.88 | Equations (541) can reduce 247 to: % 32.25/8.88 | (303) $false % 32.25/8.88 | % 32.25/8.88 |-The branch is then unsatisfiable % 32.25/8.88 |-Branch two: % 32.25/8.88 | (500) ~ (all_0_51_51 = e1) % 32.25/8.88 | (1594) all_0_55_55 = e1 | all_0_60_60 = e1 % 32.25/8.88 | % 32.25/8.88 +-Applying beta-rule and splitting (1594), into two cases. % 32.25/8.88 |-Branch one: % 32.25/8.88 | (530) all_0_55_55 = e1 % 32.25/8.88 | % 32.25/8.88 | Combining equations (2165,530) yields a new equation: % 32.25/8.88 | (680) e3 = e1 % 32.25/8.88 | % 32.25/8.88 | Simplifying 680 yields: % 32.25/8.88 | (601) e3 = e1 % 32.25/8.88 | % 32.25/8.88 | Equations (601) can reduce 136 to: % 32.25/8.88 | (303) $false % 32.25/8.88 | % 32.25/8.88 |-The branch is then unsatisfiable % 32.25/8.88 |-Branch two: % 32.25/8.88 | (464) ~ (all_0_55_55 = e1) % 32.25/8.88 | (604) all_0_60_60 = e1 % 32.25/8.88 | % 32.25/8.88 | Equations (604) can reduce 571 to: % 32.25/8.88 | (565) ~ (e2 = e1) % 32.25/8.88 | % 32.25/8.88 | Simplifying 565 yields: % 32.25/8.88 | (144) ~ (e2 = e1) % 32.25/8.88 | % 32.25/8.88 | Equations (604) can reduce 414 to: % 32.25/8.88 | (134) ~ (e1 = e0) % 32.25/8.88 | % 32.25/8.88 +-Applying beta-rule and splitting (62), into two cases. % 32.25/8.88 |-Branch one: % 32.25/8.88 | (631) unit = e2 % 32.25/8.88 | % 32.25/8.88 | From (631) and (98) follows: % 32.25/8.88 | (5015) op(e3, e2) = e3 % 32.25/8.88 | % 32.25/8.88 | From (631) and (74) follows: % 32.25/8.88 | (2715) op(e2, e2) = e2 % 32.25/8.88 | % 32.25/8.88 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 32.25/8.88 | (601) e3 = e1 % 32.25/8.88 | % 32.25/8.88 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 32.25/8.88 | (453) e3 = e2 % 32.25/8.88 | % 32.25/8.88 | Combining equations (453,601) yields a new equation: % 32.25/8.88 | (584) e2 = e1 % 32.25/8.88 | % 32.25/8.88 | Simplifying 584 yields: % 32.25/8.88 | (585) e2 = e1 % 32.25/8.88 | % 32.25/8.88 | Equations (585) can reduce 144 to: % 32.25/8.88 | (303) $false % 32.25/8.89 | % 32.25/8.89 |-The branch is then unsatisfiable % 32.25/8.89 |-Branch two: % 32.25/8.89 | (599) ~ (unit = e2) % 32.25/8.89 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 32.25/8.89 | % 32.25/8.89 +-Applying beta-rule and splitting (634), into two cases. % 32.25/8.89 |-Branch one: % 32.25/8.89 | (635) unit = e4 % 32.25/8.89 | % 32.25/8.89 | From (635) and (111) follows: % 32.25/8.89 | (638) op(e0, e4) = e0 % 32.25/8.89 | % 32.25/8.89 | Instantiating formula (29) with e0, e4, e0, e2 and discharging atoms op(e0, e4) = e2, op(e0, e4) = e0, yields: % 32.25/8.89 | (385) e2 = e0 % 32.25/8.89 | % 32.25/8.89 | Equations (385) can reduce 51 to: % 32.25/8.89 | (303) $false % 32.25/8.89 | % 32.25/8.89 |-The branch is then unsatisfiable % 32.25/8.89 |-Branch two: % 32.25/8.89 | (484) ~ (unit = e4) % 32.25/8.89 | (647) unit = e3 | unit = e1 | unit = e0 % 32.25/8.89 | % 32.25/8.89 +-Applying beta-rule and splitting (647), into two cases. % 32.25/8.89 |-Branch one: % 32.25/8.89 | (648) unit = e1 % 32.25/8.89 | % 32.25/8.89 | From (648) and (98) follows: % 32.25/8.89 | (1862) op(e3, e1) = e3 % 32.25/8.89 | % 32.25/8.89 | From (648) and (74) follows: % 32.25/8.89 | (769) op(e2, e1) = e2 % 32.25/8.89 | % 32.25/8.89 | From (648) and (111) follows: % 32.25/8.89 | (770) op(e0, e1) = e0 % 32.25/8.89 | % 32.25/8.89 | Instantiating formula (29) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields: % 32.25/8.89 | (453) e3 = e2 % 32.25/8.89 | % 32.25/8.89 | Instantiating formula (29) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 32.25/8.89 | (585) e2 = e1 % 32.25/8.89 | % 32.25/8.89 | Instantiating formula (29) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields: % 32.25/8.89 | (497) e3 = e0 % 32.25/8.89 | % 32.25/8.89 | Combining equations (453,497) yields a new equation: % 32.25/8.89 | (403) e2 = e0 % 32.25/8.89 | % 32.25/8.89 | Simplifying 403 yields: % 32.25/8.89 | (385) e2 = e0 % 32.25/8.89 | % 32.25/8.89 | Combining equations (385,585) yields a new equation: % 32.25/8.89 | (590) e1 = e0 % 32.25/8.89 | % 32.25/8.89 | Equations (590) can reduce 134 to: % 32.25/8.89 | (303) $false % 32.25/8.89 | % 32.25/8.89 |-The branch is then unsatisfiable % 32.25/8.89 |-Branch two: % 32.25/8.89 | (510) ~ (unit = e1) % 32.25/8.89 | (659) unit = e3 | unit = e0 % 32.25/8.89 | % 32.25/8.89 +-Applying beta-rule and splitting (659), into two cases. % 32.25/8.89 |-Branch one: % 32.25/8.89 | (660) unit = e0 % 32.25/8.89 | % 32.25/8.89 | Equations (660) can reduce 510 to: % 32.25/8.89 | (661) ~ (e1 = e0) % 32.25/8.89 | % 32.25/8.89 | Simplifying 661 yields: % 32.25/8.89 | (134) ~ (e1 = e0) % 32.25/8.89 | % 32.25/8.89 | From (660) and (232) follows: % 32.25/8.89 | (1196) op(e0, e3) = e3 % 32.25/8.89 | % 32.25/8.89 | From (660) and (38) follows: % 32.25/8.89 | (2749) op(e0, e1) = e1 % 32.25/8.89 | % 32.25/8.89 | Instantiating formula (29) with e0, e3, e3, e0 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields: % 32.25/8.89 | (497) e3 = e0 % 32.25/8.89 | % 32.25/8.89 | Instantiating formula (29) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields: % 32.25/8.89 | (601) e3 = e1 % 32.25/8.89 | % 32.25/8.89 | Combining equations (601,497) yields a new equation: % 32.25/8.89 | (670) e1 = e0 % 32.25/8.89 | % 32.25/8.89 | Simplifying 670 yields: % 32.25/8.89 | (590) e1 = e0 % 32.25/8.89 | % 32.25/8.89 | Equations (590) can reduce 134 to: % 32.25/8.89 | (303) $false % 32.25/8.89 | % 32.25/8.89 |-The branch is then unsatisfiable % 32.25/8.89 |-Branch two: % 32.25/8.89 | (537) ~ (unit = e0) % 32.25/8.89 | (674) unit = e3 % 32.25/8.89 | % 32.25/8.89 | From (674) and (38) follows: % 32.25/8.89 | (675) op(e3, e1) = e1 % 32.25/8.89 | % 32.25/8.89 | Instantiating formula (29) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 32.25/8.89 | (585) e2 = e1 % 32.25/8.89 | % 32.25/8.89 | Equations (585) can reduce 144 to: % 32.25/8.89 | (303) $false % 32.25/8.89 | % 32.25/8.89 |-The branch is then unsatisfiable % 32.25/8.89 |-Branch two: % 32.25/8.89 | (594) ~ (all_0_56_56 = e2) % 32.25/8.89 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 32.25/8.89 | % 32.25/8.89 +-Applying beta-rule and splitting (141), into two cases. % 32.25/8.89 |-Branch one: % 32.25/8.89 | (580) all_0_56_56 = e2 % 32.25/8.89 | % 32.25/8.89 | Equations (580) can reduce 594 to: % 32.25/8.89 | (303) $false % 32.25/8.89 | % 32.25/8.89 |-The branch is then unsatisfiable % 32.25/8.89 |-Branch two: % 32.25/8.89 | (594) ~ (all_0_56_56 = e2) % 32.25/8.89 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 32.25/8.89 | % 32.25/8.89 +-Applying beta-rule and splitting (245), into two cases. % 32.25/8.89 |-Branch one: % 32.25/8.89 | (583) all_0_56_56 = e1 % 32.25/8.89 | % 32.25/8.89 | Equations (583) can reduce 587 to: % 32.25/8.89 | (303) $false % 32.25/8.89 | % 32.25/8.89 |-The branch is then unsatisfiable % 32.25/8.89 |-Branch two: % 32.25/8.89 | (587) ~ (all_0_56_56 = e1) % 32.25/8.89 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 32.25/8.89 | % 32.25/8.89 +-Applying beta-rule and splitting (979), into two cases. % 32.25/8.89 |-Branch one: % 32.25/8.89 | (877) all_0_56_56 = e4 % 32.25/8.89 | % 32.25/8.89 | Equations (877) can reduce 345 to: % 32.25/8.89 | (303) $false % 32.25/8.89 | % 32.25/8.89 |-The branch is then unsatisfiable % 32.25/8.89 |-Branch two: % 32.25/8.89 | (345) ~ (all_0_56_56 = e4) % 32.25/8.89 | (2325) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 32.25/8.89 | % 32.25/8.89 +-Applying beta-rule and splitting (2325), into two cases. % 32.25/8.89 |-Branch one: % 32.25/8.89 | (583) all_0_56_56 = e1 % 32.25/8.89 | % 32.25/8.89 | Equations (583) can reduce 587 to: % 32.25/8.89 | (303) $false % 32.25/8.89 | % 32.25/8.89 |-The branch is then unsatisfiable % 32.25/8.89 |-Branch two: % 32.25/8.89 | (587) ~ (all_0_56_56 = e1) % 32.25/8.89 | (2329) all_0_56_56 = e3 | all_0_56_56 = e0 % 32.25/8.89 | % 32.25/8.89 +-Applying beta-rule and splitting (2329), into two cases. % 32.25/8.89 |-Branch one: % 32.25/8.89 | (2307) all_0_56_56 = e0 % 32.25/8.89 | % 32.25/8.89 | Equations (2307) can reduce 296 to: % 32.25/8.89 | (303) $false % 32.25/8.89 | % 32.25/8.89 |-The branch is then unsatisfiable % 32.25/8.89 |-Branch two: % 32.25/8.89 | (296) ~ (all_0_56_56 = e0) % 32.25/8.89 | (1111) all_0_56_56 = e3 % 32.25/8.89 | % 32.25/8.89 | Equations (1111) can reduce 526 to: % 32.25/8.89 | (303) $false % 32.25/8.89 | % 32.25/8.89 |-The branch is then unsatisfiable % 32.25/8.89 |-Branch two: % 32.25/8.89 | (915) ~ (all_0_44_44 = e2) % 32.25/8.89 | (2069) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 32.25/8.89 | % 32.25/8.89 +-Applying beta-rule and splitting (2069), into two cases. % 32.25/8.89 |-Branch one: % 32.25/8.89 | (1096) all_0_44_44 = e4 % 32.25/8.89 | % 32.25/8.89 | Equations (1096) can reduce 474 to: % 32.25/8.89 | (303) $false % 32.25/8.89 | % 32.25/8.89 |-The branch is then unsatisfiable % 32.25/8.89 |-Branch two: % 32.25/8.89 | (474) ~ (all_0_44_44 = e4) % 32.25/8.89 | (2073) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 32.25/8.89 | % 32.25/8.89 +-Applying beta-rule and splitting (2073), into two cases. % 32.25/8.89 |-Branch one: % 32.25/8.89 | (705) all_0_44_44 = e1 % 32.25/8.89 | % 32.25/8.89 | Equations (705) can reduce 512 to: % 32.25/8.89 | (303) $false % 32.25/8.89 | % 32.25/8.89 |-The branch is then unsatisfiable % 32.25/8.89 |-Branch two: % 32.25/8.90 | (512) ~ (all_0_44_44 = e1) % 32.25/8.90 | (2077) all_0_44_44 = e3 | all_0_44_44 = e0 % 32.25/8.90 | % 32.25/8.90 +-Applying beta-rule and splitting (2077), into two cases. % 32.25/8.90 |-Branch one: % 32.25/8.90 | (2078) all_0_44_44 = e0 % 32.25/8.90 | % 32.25/8.90 | Equations (2078) can reduce 330 to: % 32.25/8.90 | (303) $false % 32.25/8.90 | % 32.25/8.90 |-The branch is then unsatisfiable % 32.25/8.90 |-Branch two: % 32.25/8.90 | (330) ~ (all_0_44_44 = e0) % 32.25/8.90 | (2081) all_0_44_44 = e3 % 32.25/8.90 | % 32.25/8.90 | Equations (2081) can reduce 310 to: % 32.25/8.90 | (303) $false % 32.25/8.90 | % 32.25/8.90 |-The branch is then unsatisfiable % 32.25/8.90 |-Branch two: % 32.25/8.90 | (683) ~ (all_0_40_40 = e1) % 32.25/8.90 | (2833) all_0_40_40 = e3 | all_0_40_40 = e0 % 32.25/8.90 | % 32.25/8.90 +-Applying beta-rule and splitting (2833), into two cases. % 32.25/8.90 |-Branch one: % 32.25/8.90 | (2834) all_0_40_40 = e0 % 32.25/8.90 | % 32.25/8.90 | Equations (2834) can reduce 288 to: % 32.25/8.90 | (303) $false % 32.25/8.90 | % 32.25/8.90 |-The branch is then unsatisfiable % 32.25/8.90 |-Branch two: % 32.25/8.90 | (288) ~ (all_0_40_40 = e0) % 32.25/8.90 | (1102) all_0_40_40 = e3 % 32.25/8.90 | % 32.25/8.90 | Equations (1102) can reduce 432 to: % 32.25/8.90 | (303) $false % 32.25/8.90 | % 32.25/8.90 |-The branch is then unsatisfiable % 32.25/8.90 |-Branch two: % 32.25/8.90 | (509) ~ (all_0_53_53 = e1) % 32.25/8.90 | (589) all_0_57_57 = e1 % 32.25/8.90 | % 32.25/8.90 | Combining equations (589,407) yields a new equation: % 32.25/8.90 | (670) e1 = e0 % 32.25/8.90 | % 32.25/8.90 | Simplifying 670 yields: % 32.25/8.90 | (590) e1 = e0 % 32.25/8.90 | % 32.25/8.90 | Equations (590) can reduce 134 to: % 32.25/8.90 | (303) $false % 32.25/8.90 | % 32.25/8.90 |-The branch is then unsatisfiable % 32.25/8.90 |-Branch two: % 32.25/8.90 | (314) ~ (all_0_55_55 = e3) % 32.25/8.90 | (1937) all_0_60_60 = e3 % 32.25/8.90 | % 32.25/8.90 | Equations (1937) can reduce 316 to: % 32.25/8.90 | (303) $false % 32.25/8.90 | % 32.25/8.90 |-The branch is then unsatisfiable % 32.25/8.90 |-Branch two: % 32.25/8.90 | (996) ~ (all_0_41_41 = e3) % 32.25/8.90 | (997) all_0_53_53 = e3 | all_0_57_57 = e3 % 32.25/8.90 | % 32.25/8.90 +-Applying beta-rule and splitting (997), into two cases. % 32.25/8.90 |-Branch one: % 32.25/8.90 | (994) all_0_53_53 = e3 % 32.25/8.90 | % 32.25/8.90 | Equations (994) can reduce 121 to: % 32.25/8.90 | (996) ~ (all_0_41_41 = e3) % 32.25/8.90 | % 32.25/8.90 | Equations (994) can reduce 229 to: % 32.25/8.90 | (439) ~ (e4 = e3) % 32.25/8.90 | % 32.25/8.90 | Simplifying 439 yields: % 32.25/8.90 | (30) ~ (e4 = e3) % 32.25/8.90 | % 32.25/8.90 | Equations (994) can reduce 140 to: % 32.25/8.90 | (70) ~ (e3 = e0) % 32.25/8.90 | % 32.25/8.90 +-Applying beta-rule and splitting (180), into two cases. % 32.25/8.90 |-Branch one: % 32.25/8.90 | (945) all_0_41_41 = e2 % 32.25/8.90 | % 32.25/8.90 | Equations (945) can reduce 369 to: % 32.25/8.90 | (303) $false % 32.25/8.90 | % 32.25/8.90 |-The branch is then unsatisfiable % 32.25/8.90 |-Branch two: % 32.25/8.90 | (369) ~ (all_0_41_41 = e2) % 32.25/8.90 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 32.25/8.90 | % 32.25/8.90 +-Applying beta-rule and splitting (1073), into two cases. % 32.25/8.90 |-Branch one: % 32.25/8.90 | (462) all_0_53_53 = e1 % 32.25/8.90 | % 32.25/8.90 | Combining equations (994,462) yields a new equation: % 32.25/8.90 | (680) e3 = e1 % 32.25/8.90 | % 32.25/8.90 | Simplifying 680 yields: % 32.25/8.90 | (601) e3 = e1 % 32.25/8.90 | % 32.25/8.90 | Equations (601) can reduce 136 to: % 32.25/8.90 | (303) $false % 32.25/8.90 | % 32.25/8.90 |-The branch is then unsatisfiable % 32.25/8.90 |-Branch two: % 32.25/8.90 | (509) ~ (all_0_53_53 = e1) % 32.25/8.90 | (530) all_0_55_55 = e1 % 32.25/8.90 | % 32.25/8.90 +-Applying beta-rule and splitting (200), into two cases. % 32.25/8.90 |-Branch one: % 32.25/8.90 | (1102) all_0_40_40 = e3 % 32.25/8.90 | % 32.25/8.90 | Equations (1102) can reduce 432 to: % 32.25/8.90 | (303) $false % 32.25/8.90 | % 32.25/8.90 |-The branch is then unsatisfiable % 32.25/8.90 |-Branch two: % 32.25/8.90 | (432) ~ (all_0_40_40 = e3) % 32.25/8.90 | (2138) all_0_41_41 = e3 | all_0_43_43 = e3 | all_0_44_44 = e3 % 32.25/8.90 | % 32.25/8.90 +-Applying beta-rule and splitting (1017), into two cases. % 32.25/8.90 |-Branch one: % 32.25/8.90 | (696) all_0_41_41 = e1 % 32.25/8.90 | % 32.25/8.90 | Equations (696) can reduce 151 to: % 32.25/8.90 | (683) ~ (all_0_40_40 = e1) % 32.25/8.90 | % 32.25/8.90 | Equations (696) can reduce 996 to: % 32.25/8.90 | (465) ~ (e3 = e1) % 32.25/8.90 | % 32.25/8.90 | Simplifying 465 yields: % 32.25/8.90 | (136) ~ (e3 = e1) % 32.25/8.90 | % 32.25/8.90 +-Applying beta-rule and splitting (175), into two cases. % 32.25/8.90 |-Branch one: % 32.25/8.90 | (624) all_0_40_40 = e1 % 32.25/8.90 | % 32.25/8.90 | Equations (624) can reduce 683 to: % 32.25/8.90 | (303) $false % 32.25/8.90 | % 32.25/8.90 |-The branch is then unsatisfiable % 32.25/8.90 |-Branch two: % 32.25/8.90 | (683) ~ (all_0_40_40 = e1) % 32.25/8.90 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 32.25/8.90 | % 32.25/8.90 +-Applying beta-rule and splitting (233), into two cases. % 32.25/8.90 |-Branch one: % 32.25/8.90 | (917) all_0_40_40 = e2 % 32.25/8.90 | % 32.25/8.90 | Equations (917) can reduce 57 to: % 32.25/8.90 | (2174) ~ (all_0_56_56 = e2) % 32.25/8.90 | % 32.25/8.90 | Simplifying 2174 yields: % 32.25/8.90 | (594) ~ (all_0_56_56 = e2) % 32.25/8.90 | % 32.25/8.90 | Equations (917) can reduce 844 to: % 32.25/8.90 | (261) ~ (e4 = e2) % 32.25/8.90 | % 32.25/8.90 | Simplifying 261 yields: % 32.25/8.90 | (231) ~ (e4 = e2) % 32.25/8.90 | % 32.25/8.90 | Equations (917) can reduce 432 to: % 32.25/8.90 | (577) ~ (e3 = e2) % 32.25/8.90 | % 32.25/8.90 | Simplifying 577 yields: % 32.25/8.90 | (223) ~ (e3 = e2) % 32.25/8.90 | % 32.25/8.90 | Equations (917) can reduce 288 to: % 32.25/8.90 | (51) ~ (e2 = e0) % 32.25/8.90 | % 32.25/8.90 +-Applying beta-rule and splitting (141), into two cases. % 32.25/8.90 |-Branch one: % 32.25/8.90 | (580) all_0_56_56 = e2 % 32.25/8.90 | % 32.25/8.90 | Equations (580) can reduce 594 to: % 32.25/8.90 | (303) $false % 32.25/8.90 | % 32.25/8.90 |-The branch is then unsatisfiable % 32.25/8.90 |-Branch two: % 32.25/8.90 | (594) ~ (all_0_56_56 = e2) % 32.25/8.90 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 32.25/8.91 | % 32.25/8.91 +-Applying beta-rule and splitting (61), into two cases. % 32.25/8.91 |-Branch one: % 32.25/8.91 | (580) all_0_56_56 = e2 % 32.25/8.91 | % 32.25/8.91 | Equations (580) can reduce 594 to: % 32.25/8.91 | (303) $false % 32.25/8.91 | % 32.25/8.91 |-The branch is then unsatisfiable % 32.25/8.91 |-Branch two: % 32.25/8.91 | (594) ~ (all_0_56_56 = e2) % 32.25/8.91 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 32.25/8.91 | % 32.25/8.91 +-Applying beta-rule and splitting (245), into two cases. % 32.25/8.91 |-Branch one: % 32.25/8.91 | (583) all_0_56_56 = e1 % 32.25/8.91 | % 32.25/8.91 | Equations (583) can reduce 174 to: % 32.25/8.91 | (1050) ~ (all_0_60_60 = e1) % 32.25/8.91 | % 32.25/8.91 | Simplifying 1050 yields: % 32.25/8.91 | (501) ~ (all_0_60_60 = e1) % 32.25/8.91 | % 32.25/8.91 | Equations (583) can reduce 594 to: % 32.25/8.91 | (565) ~ (e2 = e1) % 32.25/8.91 | % 32.25/8.91 | Simplifying 565 yields: % 32.25/8.91 | (144) ~ (e2 = e1) % 32.25/8.91 | % 32.25/8.91 | Equations (583) can reduce 296 to: % 32.25/8.91 | (134) ~ (e1 = e0) % 32.25/8.91 | % 32.25/8.91 +-Applying beta-rule and splitting (195), into two cases. % 32.25/8.91 |-Branch one: % 32.25/8.91 | (2081) all_0_44_44 = e3 % 32.25/8.91 | % 32.25/8.91 | Equations (2081) can reduce 165 to: % 32.25/8.91 | (315) ~ (all_0_60_60 = e3) % 32.25/8.91 | % 32.25/8.91 | Simplifying 315 yields: % 32.25/8.91 | (316) ~ (all_0_60_60 = e3) % 32.25/8.91 | % 32.25/8.91 | Equations (2081) can reduce 474 to: % 32.25/8.91 | (439) ~ (e4 = e3) % 32.25/8.91 | % 32.25/8.91 | Simplifying 439 yields: % 32.25/8.91 | (30) ~ (e4 = e3) % 32.25/8.91 | % 32.25/8.91 +-Applying beta-rule and splitting (56), into two cases. % 32.25/8.91 |-Branch one: % 32.25/8.91 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 32.25/8.91 | % 32.25/8.91 +-Applying beta-rule and splitting (480), into two cases. % 32.25/8.91 |-Branch one: % 32.25/8.91 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 32.25/8.91 | % 32.25/8.91 +-Applying beta-rule and splitting (481), into two cases. % 32.25/8.91 |-Branch one: % 32.25/8.91 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 32.25/8.91 | % 32.25/8.91 +-Applying beta-rule and splitting (482), into two cases. % 32.25/8.91 |-Branch one: % 32.25/8.91 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 32.25/8.91 | % 32.25/8.91 | Applying alpha-rule on (483) yields: % 32.25/8.91 | (484) ~ (unit = e4) % 32.25/8.91 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 32.25/8.91 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 32.25/8.91 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 32.25/8.91 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 32.25/8.91 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 32.25/8.91 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 32.25/8.91 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 32.25/8.91 | (492) ~ (all_0_55_55 = e4) % 32.25/8.91 | (493) all_0_45_45 = e3 % 32.25/8.91 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 32.25/8.91 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 32.25/8.91 | % 32.25/8.91 +-Applying beta-rule and splitting (489), into two cases. % 32.25/8.91 |-Branch one: % 32.25/8.91 | (3161) ~ (all_0_58_58 = e4) % 32.25/8.91 | % 32.25/8.91 | Equations (344) can reduce 3161 to: % 32.25/8.91 | (303) $false % 32.25/8.91 | % 32.25/8.91 |-The branch is then unsatisfiable % 32.25/8.91 |-Branch two: % 32.25/8.91 | (344) all_0_58_58 = e4 % 32.25/8.91 | (580) all_0_56_56 = e2 % 32.25/8.91 | % 32.25/8.91 | Combining equations (583,580) yields a new equation: % 32.25/8.91 | (585) e2 = e1 % 32.25/8.91 | % 32.25/8.91 | Equations (585) can reduce 144 to: % 32.25/8.91 | (303) $false % 32.25/8.91 | % 32.25/8.91 |-The branch is then unsatisfiable % 32.25/8.91 |-Branch two: % 32.25/8.91 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 32.25/8.91 | % 32.25/8.91 | Applying alpha-rule on (499) yields: % 32.25/8.91 | (500) ~ (all_0_51_51 = e1) % 32.25/8.91 | (501) ~ (all_0_60_60 = e1) % 32.25/8.91 | (502) ~ (all_0_52_52 = e1) % 32.25/8.91 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 32.25/8.91 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 32.25/8.91 | (252) all_0_46_46 = e2 % 32.25/8.91 | (506) ~ (all_0_49_49 = e1) % 32.25/8.91 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 32.25/8.91 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 32.25/8.91 | (509) ~ (all_0_53_53 = e1) % 32.25/8.91 | (510) ~ (unit = e1) % 32.25/8.91 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 32.25/8.91 | (512) ~ (all_0_44_44 = e1) % 32.25/8.91 | % 32.25/8.91 +-Applying beta-rule and splitting (511), into two cases. % 32.25/8.91 |-Branch one: % 32.25/8.91 | (587) ~ (all_0_56_56 = e1) % 32.25/8.91 | % 32.25/8.91 | Equations (583) can reduce 587 to: % 32.25/8.91 | (303) $false % 32.25/8.91 | % 32.25/8.91 |-The branch is then unsatisfiable % 32.25/8.91 |-Branch two: % 32.25/8.91 | (583) all_0_56_56 = e1 % 32.25/8.91 | (717) all_0_59_59 = e4 % 32.25/8.91 | % 32.25/8.91 | Combining equations (456,717) yields a new equation: % 32.25/8.91 | (443) e4 = e3 % 32.25/8.91 | % 32.25/8.91 | Equations (443) can reduce 30 to: % 32.25/8.91 | (303) $false % 32.25/8.91 | % 32.25/8.91 |-The branch is then unsatisfiable % 32.25/8.91 |-Branch two: % 32.25/8.91 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 32.25/8.91 | % 32.25/8.91 | Applying alpha-rule on (514) yields: % 32.25/8.91 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 32.25/8.91 | (516) ~ (all_0_47_47 = e3) % 32.25/8.91 | (314) ~ (all_0_55_55 = e3) % 32.25/8.92 | (368) all_0_49_49 = e2 % 32.25/8.92 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 32.25/8.92 | (520) ~ (unit = e3) % 32.25/8.92 | (521) ~ (all_0_52_52 = e3) % 32.25/8.92 | (455) ~ (all_0_46_46 = e3) % 32.25/8.92 | (432) ~ (all_0_40_40 = e3) % 32.25/8.92 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 32.25/8.92 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 32.25/8.92 | (526) ~ (all_0_56_56 = e3) % 32.25/8.92 | % 32.25/8.92 +-Applying beta-rule and splitting (519), into two cases. % 32.25/8.92 |-Branch one: % 32.25/8.92 | (1031) ~ (all_0_59_59 = e3) % 32.25/8.92 | % 32.25/8.92 | Equations (456) can reduce 1031 to: % 32.25/8.92 | (303) $false % 32.25/8.92 | % 32.25/8.92 |-The branch is then unsatisfiable % 32.25/8.92 |-Branch two: % 32.25/8.92 | (456) all_0_59_59 = e3 % 32.25/8.92 | (589) all_0_57_57 = e1 % 32.25/8.92 | % 32.25/8.92 | Combining equations (589,407) yields a new equation: % 32.25/8.92 | (670) e1 = e0 % 32.25/8.92 | % 32.25/8.92 | Simplifying 670 yields: % 32.25/8.92 | (590) e1 = e0 % 32.25/8.92 | % 32.25/8.92 | Equations (590) can reduce 134 to: % 32.25/8.92 | (303) $false % 32.25/8.92 | % 32.25/8.92 |-The branch is then unsatisfiable % 32.25/8.92 |-Branch two: % 32.25/8.92 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 32.25/8.92 | % 32.25/8.92 | Applying alpha-rule on (528) yields: % 32.25/8.92 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 32.25/8.92 | (530) all_0_55_55 = e1 % 32.25/8.92 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 32.25/8.92 | (387) ~ (all_0_49_49 = e0) % 32.25/8.92 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 32.25/8.92 | (534) ~ (all_0_45_45 = e0) % 32.25/8.92 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 32.25/8.92 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 32.25/8.92 | (537) ~ (unit = e0) % 32.25/8.92 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 32.25/8.92 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 32.25/8.92 | % 32.25/8.92 +-Applying beta-rule and splitting (529), into two cases. % 32.25/8.92 |-Branch one: % 32.25/8.92 | (2273) ~ (all_0_57_57 = e0) % 32.25/8.92 | % 32.25/8.92 | Equations (407) can reduce 2273 to: % 32.25/8.92 | (303) $false % 32.25/8.92 | % 32.25/8.92 |-The branch is then unsatisfiable % 32.25/8.92 |-Branch two: % 32.25/8.92 | (407) all_0_57_57 = e0 % 32.25/8.92 | (1937) all_0_60_60 = e3 % 32.25/8.92 | % 32.25/8.92 | Equations (1937) can reduce 316 to: % 32.25/8.92 | (303) $false % 32.25/8.92 | % 32.25/8.92 |-The branch is then unsatisfiable % 32.25/8.92 |-Branch two: % 32.25/8.92 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 32.25/8.92 | % 32.25/8.92 | Applying alpha-rule on (543) yields: % 32.25/8.92 | (544) ~ (all_0_48_48 = e2) % 32.25/8.92 | (369) ~ (all_0_41_41 = e2) % 32.25/8.92 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 32.25/8.92 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 32.25/8.92 | (253) ~ (all_0_43_43 = e2) % 32.25/8.92 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 32.25/8.92 | (276) ~ (all_0_55_55 = e2) % 32.25/8.92 | (260) ~ (all_0_59_59 = e2) % 32.25/8.92 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 32.25/8.92 | (274) ~ (all_0_53_53 = e2) % 32.25/8.92 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 32.25/8.92 | (373) ~ (all_0_51_51 = e2) % 32.25/8.92 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 32.25/8.92 | (256) ~ (all_0_47_47 = e2) % 32.25/8.92 | (377) ~ (all_0_57_57 = e2) % 32.25/8.92 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 32.25/8.92 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 32.25/8.92 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 32.25/8.92 | (258) ~ (all_0_50_50 = e2) % 32.25/8.92 | (254) ~ (all_0_45_45 = e2) % 32.25/8.92 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 32.25/8.92 | % 32.25/8.92 +-Applying beta-rule and splitting (556), into two cases. % 32.25/8.92 |-Branch one: % 32.25/8.92 | (939) ~ (all_0_40_40 = e2) % 32.25/8.92 | % 32.25/8.92 | Equations (917) can reduce 939 to: % 32.25/8.92 | (303) $false % 32.25/8.92 | % 32.25/8.92 |-The branch is then unsatisfiable % 32.25/8.92 |-Branch two: % 32.25/8.92 | (917) all_0_40_40 = e2 % 32.25/8.92 | (7127) all_0_42_42 = e4 & ~ (unit = e2) % 32.25/8.92 | % 32.25/8.92 | Applying alpha-rule on (7127) yields: % 32.25/8.92 | (3175) all_0_42_42 = e4 % 32.25/8.92 | (599) ~ (unit = e2) % 32.25/8.92 | % 32.25/8.92 | Combining equations (324,3175) yields a new equation: % 32.25/8.92 | (654) e4 = e0 % 32.25/8.92 | % 32.25/8.92 | Equations (654) can reduce 4 to: % 32.25/8.92 | (303) $false % 32.25/8.92 | % 32.25/8.92 |-The branch is then unsatisfiable % 32.25/8.92 |-Branch two: % 32.25/8.92 | (310) ~ (all_0_44_44 = e3) % 32.25/8.92 | (7006) all_0_47_47 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 32.25/8.92 | % 32.25/8.92 +-Applying beta-rule and splitting (220), into two cases. % 32.25/8.92 |-Branch one: % 32.25/8.92 | (913) all_0_60_60 = e2 % 32.25/8.93 | % 32.25/8.93 | Equations (913) can reduce 165 to: % 32.25/8.93 | (915) ~ (all_0_44_44 = e2) % 32.25/8.93 | % 32.25/8.93 | Equations (913) can reduce 501 to: % 32.25/8.93 | (144) ~ (e2 = e1) % 32.25/8.93 | % 32.25/8.93 +-Applying beta-rule and splitting (87), into two cases. % 32.25/8.93 |-Branch one: % 32.25/8.93 | (572) all_0_44_44 = e2 % 32.25/8.93 | % 32.25/8.93 | Equations (572) can reduce 915 to: % 32.25/8.93 | (303) $false % 32.25/8.93 | % 32.25/8.93 |-The branch is then unsatisfiable % 32.25/8.93 |-Branch two: % 32.25/8.93 | (915) ~ (all_0_44_44 = e2) % 32.25/8.93 | (2069) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 32.25/8.93 | % 32.25/8.93 +-Applying beta-rule and splitting (56), into two cases. % 32.25/8.93 |-Branch one: % 32.25/8.93 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 32.25/8.93 | % 32.25/8.93 +-Applying beta-rule and splitting (480), into two cases. % 32.25/8.93 |-Branch one: % 32.25/8.93 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 32.25/8.93 | % 32.25/8.93 +-Applying beta-rule and splitting (481), into two cases. % 32.25/8.93 |-Branch one: % 32.25/8.93 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 32.25/8.93 | % 32.25/8.93 +-Applying beta-rule and splitting (482), into two cases. % 32.25/8.93 |-Branch one: % 32.25/8.93 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 32.25/8.93 | % 32.25/8.93 | Applying alpha-rule on (483) yields: % 32.25/8.93 | (484) ~ (unit = e4) % 32.25/8.93 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 32.25/8.93 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 32.25/8.93 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 32.25/8.93 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 32.25/8.93 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 32.25/8.93 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 32.25/8.93 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 32.25/8.93 | (492) ~ (all_0_55_55 = e4) % 32.25/8.93 | (493) all_0_45_45 = e3 % 32.25/8.93 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 32.25/8.93 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 32.25/8.93 | % 32.25/8.93 +-Applying beta-rule and splitting (489), into two cases. % 32.25/8.93 |-Branch one: % 32.25/8.93 | (3161) ~ (all_0_58_58 = e4) % 32.25/8.93 | % 32.25/8.93 | Equations (344) can reduce 3161 to: % 32.25/8.93 | (303) $false % 32.25/8.93 | % 32.25/8.93 |-The branch is then unsatisfiable % 32.25/8.93 |-Branch two: % 32.25/8.93 | (344) all_0_58_58 = e4 % 32.25/8.93 | (580) all_0_56_56 = e2 % 32.25/8.93 | % 32.25/8.93 | Combining equations (580,583) yields a new equation: % 32.25/8.93 | (584) e2 = e1 % 32.25/8.93 | % 32.25/8.93 | Simplifying 584 yields: % 32.25/8.93 | (585) e2 = e1 % 32.25/8.93 | % 32.25/8.93 | Equations (585) can reduce 144 to: % 32.25/8.93 | (303) $false % 32.25/8.93 | % 32.25/8.93 |-The branch is then unsatisfiable % 32.25/8.93 |-Branch two: % 32.25/8.93 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 32.25/8.93 | % 32.25/8.93 | Applying alpha-rule on (499) yields: % 32.25/8.93 | (500) ~ (all_0_51_51 = e1) % 32.25/8.93 | (501) ~ (all_0_60_60 = e1) % 32.65/8.93 | (502) ~ (all_0_52_52 = e1) % 32.65/8.93 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 32.65/8.93 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 32.65/8.93 | (252) all_0_46_46 = e2 % 32.65/8.93 | (506) ~ (all_0_49_49 = e1) % 32.65/8.93 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 32.65/8.93 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 32.65/8.93 | (509) ~ (all_0_53_53 = e1) % 32.65/8.93 | (510) ~ (unit = e1) % 32.65/8.93 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 32.65/8.93 | (512) ~ (all_0_44_44 = e1) % 32.65/8.93 | % 32.65/8.93 +-Applying beta-rule and splitting (511), into two cases. % 32.65/8.93 |-Branch one: % 32.65/8.93 | (587) ~ (all_0_56_56 = e1) % 32.65/8.93 | % 32.65/8.93 | Equations (583) can reduce 587 to: % 32.65/8.93 | (303) $false % 32.65/8.93 | % 32.65/8.93 |-The branch is then unsatisfiable % 32.65/8.93 |-Branch two: % 32.65/8.93 | (583) all_0_56_56 = e1 % 32.65/8.93 | (717) all_0_59_59 = e4 % 32.65/8.93 | % 32.65/8.93 | Combining equations (456,717) yields a new equation: % 32.65/8.93 | (443) e4 = e3 % 32.65/8.93 | % 32.65/8.93 | Equations (443) can reduce 30 to: % 32.65/8.93 | (303) $false % 32.65/8.93 | % 32.65/8.93 |-The branch is then unsatisfiable % 32.65/8.93 |-Branch two: % 32.65/8.93 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 32.65/8.93 | % 32.65/8.93 | Applying alpha-rule on (514) yields: % 32.65/8.93 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 32.65/8.93 | (516) ~ (all_0_47_47 = e3) % 32.65/8.93 | (314) ~ (all_0_55_55 = e3) % 32.65/8.93 | (368) all_0_49_49 = e2 % 32.65/8.93 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 32.65/8.93 | (520) ~ (unit = e3) % 32.65/8.93 | (521) ~ (all_0_52_52 = e3) % 32.65/8.93 | (455) ~ (all_0_46_46 = e3) % 32.65/8.93 | (432) ~ (all_0_40_40 = e3) % 32.65/8.93 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 32.65/8.93 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 32.65/8.93 | (526) ~ (all_0_56_56 = e3) % 32.65/8.93 | % 32.65/8.93 | Equations (442) can reduce 521 to: % 32.65/8.93 | (30) ~ (e4 = e3) % 32.65/8.93 | % 32.65/8.93 | Equations (583) can reduce 526 to: % 32.65/8.93 | (465) ~ (e3 = e1) % 32.65/8.93 | % 32.65/8.93 | Simplifying 465 yields: % 32.65/8.93 | (136) ~ (e3 = e1) % 32.65/8.93 | % 32.65/8.93 +-Applying beta-rule and splitting (2138), into two cases. % 32.65/8.93 |-Branch one: % 32.65/8.93 | (431) all_0_41_41 = e3 % 32.65/8.93 | % 32.65/8.93 | Combining equations (696,431) yields a new equation: % 32.65/8.93 | (601) e3 = e1 % 32.65/8.93 | % 32.65/8.93 | Equations (601) can reduce 136 to: % 32.65/8.93 | (303) $false % 32.65/8.93 | % 32.65/8.93 |-The branch is then unsatisfiable % 32.65/8.93 |-Branch two: % 32.65/8.93 | (996) ~ (all_0_41_41 = e3) % 32.65/8.94 | (5989) all_0_43_43 = e3 | all_0_44_44 = e3 % 32.65/8.94 | % 32.65/8.94 +-Applying beta-rule and splitting (5989), into two cases. % 32.65/8.94 |-Branch one: % 32.65/8.94 | (447) all_0_43_43 = e3 % 32.65/8.94 | % 32.65/8.94 | Combining equations (614,447) yields a new equation: % 32.65/8.94 | (718) e4 = e3 % 32.65/8.94 | % 32.65/8.94 | Simplifying 718 yields: % 32.65/8.94 | (443) e4 = e3 % 32.65/8.94 | % 32.65/8.94 | Equations (443) can reduce 30 to: % 32.65/8.94 | (303) $false % 32.65/8.94 | % 32.65/8.94 |-The branch is then unsatisfiable % 32.65/8.94 |-Branch two: % 32.65/8.94 | (434) ~ (all_0_43_43 = e3) % 32.65/8.94 | (2081) all_0_44_44 = e3 % 32.65/8.94 | % 32.65/8.94 | Equations (2081) can reduce 310 to: % 32.65/8.94 | (303) $false % 32.65/8.94 | % 32.65/8.94 |-The branch is then unsatisfiable % 32.65/8.94 |-Branch two: % 32.65/8.94 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 32.65/8.94 | % 32.65/8.94 | Applying alpha-rule on (528) yields: % 32.65/8.94 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 32.65/8.94 | (530) all_0_55_55 = e1 % 32.65/8.94 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 32.65/8.94 | (387) ~ (all_0_49_49 = e0) % 32.65/8.94 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 32.65/8.94 | (534) ~ (all_0_45_45 = e0) % 32.65/8.94 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 32.65/8.94 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 32.65/8.94 | (537) ~ (unit = e0) % 32.65/8.94 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 32.65/8.94 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 32.65/8.94 | % 32.65/8.94 +-Applying beta-rule and splitting (536), into two cases. % 32.65/8.94 |-Branch one: % 32.65/8.94 | (3164) ~ (all_0_42_42 = e0) % 32.65/8.94 | % 32.65/8.94 | Equations (324) can reduce 3164 to: % 32.65/8.94 | (303) $false % 32.65/8.94 | % 32.65/8.94 |-The branch is then unsatisfiable % 32.65/8.94 |-Branch two: % 32.65/8.94 | (324) all_0_42_42 = e0 % 32.65/8.94 | (572) all_0_44_44 = e2 % 32.65/8.94 | % 32.65/8.94 | Equations (572) can reduce 915 to: % 32.65/8.94 | (303) $false % 32.65/8.94 | % 32.65/8.94 |-The branch is then unsatisfiable % 32.65/8.94 |-Branch two: % 32.65/8.94 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 32.65/8.94 | % 32.65/8.94 | Applying alpha-rule on (543) yields: % 32.65/8.94 | (544) ~ (all_0_48_48 = e2) % 32.65/8.94 | (369) ~ (all_0_41_41 = e2) % 32.65/8.94 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 32.65/8.94 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 32.65/8.94 | (253) ~ (all_0_43_43 = e2) % 32.65/8.94 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 32.65/8.94 | (276) ~ (all_0_55_55 = e2) % 32.65/8.94 | (260) ~ (all_0_59_59 = e2) % 32.65/8.94 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 32.65/8.94 | (274) ~ (all_0_53_53 = e2) % 32.65/8.94 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 32.65/8.94 | (373) ~ (all_0_51_51 = e2) % 32.65/8.94 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 32.65/8.94 | (256) ~ (all_0_47_47 = e2) % 32.65/8.94 | (377) ~ (all_0_57_57 = e2) % 32.65/8.94 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 32.65/8.94 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 32.65/8.94 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 32.65/8.94 | (258) ~ (all_0_50_50 = e2) % 32.65/8.94 | (254) ~ (all_0_45_45 = e2) % 32.65/8.94 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 32.65/8.94 | % 32.65/8.94 +-Applying beta-rule and splitting (556), into two cases. % 32.65/8.94 |-Branch one: % 32.65/8.94 | (939) ~ (all_0_40_40 = e2) % 32.65/8.94 | % 32.65/8.94 | Equations (917) can reduce 939 to: % 32.65/8.94 | (303) $false % 32.65/8.94 | % 32.65/8.94 |-The branch is then unsatisfiable % 32.65/8.94 |-Branch two: % 32.65/8.94 | (917) all_0_40_40 = e2 % 32.65/8.94 | (7127) all_0_42_42 = e4 & ~ (unit = e2) % 32.65/8.94 | % 32.65/8.94 | Applying alpha-rule on (7127) yields: % 32.65/8.94 | (3175) all_0_42_42 = e4 % 32.65/8.94 | (599) ~ (unit = e2) % 32.65/8.94 | % 32.65/8.94 | Combining equations (324,3175) yields a new equation: % 32.65/8.94 | (654) e4 = e0 % 32.65/8.94 | % 32.65/8.94 | Equations (654) can reduce 4 to: % 32.65/8.94 | (303) $false % 32.65/8.94 | % 32.65/8.94 |-The branch is then unsatisfiable % 32.65/8.94 |-Branch two: % 32.65/8.94 | (571) ~ (all_0_60_60 = e2) % 32.65/8.94 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 32.65/8.94 | % 32.65/8.94 +-Applying beta-rule and splitting (56), into two cases. % 32.65/8.94 |-Branch one: % 32.65/8.94 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 32.65/8.94 | % 32.65/8.94 +-Applying beta-rule and splitting (480), into two cases. % 32.65/8.94 |-Branch one: % 32.65/8.94 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 32.65/8.94 | % 32.65/8.94 +-Applying beta-rule and splitting (481), into two cases. % 32.65/8.94 |-Branch one: % 32.65/8.94 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 32.65/8.94 | % 32.65/8.94 +-Applying beta-rule and splitting (482), into two cases. % 32.65/8.94 |-Branch one: % 32.65/8.94 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 32.65/8.94 | % 32.65/8.94 | Applying alpha-rule on (483) yields: % 32.65/8.94 | (484) ~ (unit = e4) % 32.65/8.94 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 32.65/8.94 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 32.65/8.94 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 32.65/8.94 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 32.65/8.94 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 32.65/8.94 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 32.65/8.94 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 32.65/8.94 | (492) ~ (all_0_55_55 = e4) % 32.65/8.94 | (493) all_0_45_45 = e3 % 32.65/8.94 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 32.65/8.94 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 32.65/8.94 | % 32.65/8.94 +-Applying beta-rule and splitting (489), into two cases. % 32.65/8.94 |-Branch one: % 32.65/8.94 | (3161) ~ (all_0_58_58 = e4) % 32.65/8.94 | % 32.65/8.94 | Equations (344) can reduce 3161 to: % 32.65/8.94 | (303) $false % 32.65/8.94 | % 32.65/8.94 |-The branch is then unsatisfiable % 32.65/8.94 |-Branch two: % 32.65/8.94 | (344) all_0_58_58 = e4 % 32.65/8.94 | (580) all_0_56_56 = e2 % 32.65/8.94 | % 32.65/8.94 | Combining equations (583,580) yields a new equation: % 32.65/8.95 | (585) e2 = e1 % 32.65/8.95 | % 32.65/8.95 | Equations (585) can reduce 144 to: % 32.65/8.95 | (303) $false % 32.65/8.95 | % 32.65/8.95 |-The branch is then unsatisfiable % 32.65/8.95 |-Branch two: % 32.65/8.95 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 32.65/8.95 | % 32.65/8.95 | Applying alpha-rule on (499) yields: % 32.65/8.95 | (500) ~ (all_0_51_51 = e1) % 32.65/8.95 | (501) ~ (all_0_60_60 = e1) % 32.65/8.95 | (502) ~ (all_0_52_52 = e1) % 32.65/8.95 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 32.65/8.95 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 32.65/8.95 | (252) all_0_46_46 = e2 % 32.65/8.95 | (506) ~ (all_0_49_49 = e1) % 32.65/8.95 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 32.65/8.95 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 32.65/8.95 | (509) ~ (all_0_53_53 = e1) % 32.65/8.95 | (510) ~ (unit = e1) % 32.65/8.95 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 32.65/8.95 | (512) ~ (all_0_44_44 = e1) % 32.65/8.95 | % 32.65/8.95 +-Applying beta-rule and splitting (511), into two cases. % 32.65/8.95 |-Branch one: % 32.65/8.95 | (587) ~ (all_0_56_56 = e1) % 32.65/8.95 | % 32.65/8.95 | Equations (583) can reduce 587 to: % 32.65/8.95 | (303) $false % 32.65/8.95 | % 32.65/8.95 |-The branch is then unsatisfiable % 32.65/8.95 |-Branch two: % 32.65/8.95 | (583) all_0_56_56 = e1 % 32.65/8.95 | (717) all_0_59_59 = e4 % 32.65/8.95 | % 32.65/8.95 | Combining equations (456,717) yields a new equation: % 32.65/8.95 | (443) e4 = e3 % 32.65/8.95 | % 32.65/8.95 | Equations (443) can reduce 30 to: % 32.65/8.95 | (303) $false % 32.65/8.95 | % 32.65/8.95 |-The branch is then unsatisfiable % 32.65/8.95 |-Branch two: % 32.65/8.95 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 32.65/8.95 | % 32.65/8.95 | Applying alpha-rule on (514) yields: % 32.65/8.95 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 32.65/8.95 | (516) ~ (all_0_47_47 = e3) % 32.65/8.95 | (314) ~ (all_0_55_55 = e3) % 32.65/8.95 | (368) all_0_49_49 = e2 % 32.65/8.95 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 32.65/8.95 | (520) ~ (unit = e3) % 32.65/8.95 | (521) ~ (all_0_52_52 = e3) % 32.65/8.95 | (455) ~ (all_0_46_46 = e3) % 32.65/8.95 | (432) ~ (all_0_40_40 = e3) % 32.65/8.95 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 32.65/8.95 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 32.65/8.95 | (526) ~ (all_0_56_56 = e3) % 32.65/8.95 | % 32.65/8.95 | Equations (252) can reduce 455 to: % 32.65/8.95 | (577) ~ (e3 = e2) % 32.65/8.95 | % 32.65/8.95 | Simplifying 577 yields: % 32.65/8.95 | (223) ~ (e3 = e2) % 32.65/8.95 | % 32.65/8.95 +-Applying beta-rule and splitting (896), into two cases. % 32.65/8.95 |-Branch one: % 32.65/8.95 | (897) all_0_57_57 = e2 % 32.65/8.95 | % 32.65/8.95 | Combining equations (407,897) yields a new equation: % 32.65/8.95 | (385) e2 = e0 % 32.65/8.95 | % 32.65/8.95 | Equations (385) can reduce 51 to: % 32.65/8.95 | (303) $false % 32.65/8.95 | % 32.65/8.95 |-The branch is then unsatisfiable % 32.65/8.95 |-Branch two: % 32.65/8.95 | (377) ~ (all_0_57_57 = e2) % 32.65/8.95 | (902) all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 32.65/8.95 | % 32.65/8.95 +-Applying beta-rule and splitting (902), into two cases. % 32.65/8.95 |-Branch one: % 32.65/8.95 | (340) all_0_58_58 = e2 % 32.65/8.95 | % 32.65/8.95 | Combining equations (340,344) yields a new equation: % 32.65/8.95 | (470) e4 = e2 % 32.65/8.95 | % 32.65/8.95 | Equations (470) can reduce 231 to: % 32.65/8.95 | (303) $false % 32.65/8.95 | % 32.65/8.95 |-The branch is then unsatisfiable % 32.65/8.95 |-Branch two: % 32.65/8.95 | (278) ~ (all_0_58_58 = e2) % 32.65/8.95 | (908) all_0_59_59 = e2 | all_0_60_60 = e2 % 32.65/8.95 | % 32.65/8.95 +-Applying beta-rule and splitting (908), into two cases. % 32.65/8.95 |-Branch one: % 32.65/8.95 | (909) all_0_59_59 = e2 % 32.65/8.95 | % 32.65/8.95 | Combining equations (909,456) yields a new equation: % 32.65/8.95 | (453) e3 = e2 % 32.65/8.95 | % 32.65/8.95 | Equations (453) can reduce 223 to: % 32.65/8.95 | (303) $false % 32.65/8.95 | % 32.65/8.95 |-The branch is then unsatisfiable % 32.65/8.95 |-Branch two: % 32.65/8.95 | (260) ~ (all_0_59_59 = e2) % 32.65/8.95 | (913) all_0_60_60 = e2 % 32.65/8.95 | % 32.65/8.95 | Equations (913) can reduce 571 to: % 32.65/8.95 | (303) $false % 32.65/8.95 | % 32.65/8.95 |-The branch is then unsatisfiable % 32.65/8.95 |-Branch two: % 32.65/8.95 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 32.65/8.95 | % 32.65/8.95 | Applying alpha-rule on (528) yields: % 32.65/8.95 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 32.65/8.95 | (530) all_0_55_55 = e1 % 32.65/8.95 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 32.65/8.95 | (387) ~ (all_0_49_49 = e0) % 32.65/8.95 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 32.65/8.95 | (534) ~ (all_0_45_45 = e0) % 32.65/8.95 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 32.65/8.95 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 32.65/8.95 | (537) ~ (unit = e0) % 32.65/8.95 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 32.65/8.95 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 32.65/8.95 | % 32.65/8.95 | Equations (368) can reduce 387 to: % 32.65/8.95 | (51) ~ (e2 = e0) % 32.65/8.95 | % 32.65/8.95 +-Applying beta-rule and splitting (896), into two cases. % 32.65/8.95 |-Branch one: % 32.65/8.95 | (897) all_0_57_57 = e2 % 32.65/8.95 | % 32.65/8.95 | Combining equations (407,897) yields a new equation: % 32.65/8.95 | (385) e2 = e0 % 32.65/8.95 | % 32.65/8.95 | Equations (385) can reduce 51 to: % 32.65/8.95 | (303) $false % 32.65/8.95 | % 32.65/8.95 |-The branch is then unsatisfiable % 32.65/8.95 |-Branch two: % 32.65/8.95 | (377) ~ (all_0_57_57 = e2) % 32.65/8.95 | (902) all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 32.65/8.95 | % 32.65/8.95 +-Applying beta-rule and splitting (902), into two cases. % 32.65/8.95 |-Branch one: % 32.65/8.95 | (340) all_0_58_58 = e2 % 32.65/8.95 | % 32.65/8.95 | Combining equations (340,344) yields a new equation: % 32.65/8.95 | (470) e4 = e2 % 32.65/8.95 | % 32.65/8.95 | Equations (470) can reduce 231 to: % 32.65/8.95 | (303) $false % 32.65/8.95 | % 32.65/8.95 |-The branch is then unsatisfiable % 32.65/8.95 |-Branch two: % 32.65/8.95 | (278) ~ (all_0_58_58 = e2) % 32.65/8.95 | (908) all_0_59_59 = e2 | all_0_60_60 = e2 % 32.65/8.95 | % 32.65/8.95 +-Applying beta-rule and splitting (908), into two cases. % 32.65/8.95 |-Branch one: % 32.65/8.95 | (909) all_0_59_59 = e2 % 32.65/8.95 | % 32.65/8.95 | Combining equations (909,456) yields a new equation: % 32.65/8.95 | (453) e3 = e2 % 32.65/8.95 | % 32.65/8.95 | Equations (453) can reduce 223 to: % 32.65/8.95 | (303) $false % 32.65/8.95 | % 32.65/8.95 |-The branch is then unsatisfiable % 32.65/8.95 |-Branch two: % 32.65/8.95 | (260) ~ (all_0_59_59 = e2) % 32.65/8.95 | (913) all_0_60_60 = e2 % 32.65/8.95 | % 32.65/8.95 | Equations (913) can reduce 571 to: % 32.65/8.95 | (303) $false % 32.65/8.95 | % 32.65/8.95 |-The branch is then unsatisfiable % 32.65/8.95 |-Branch two: % 32.65/8.95 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 32.65/8.95 | % 32.65/8.95 | Applying alpha-rule on (543) yields: % 32.65/8.95 | (544) ~ (all_0_48_48 = e2) % 32.65/8.95 | (369) ~ (all_0_41_41 = e2) % 32.65/8.95 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 32.65/8.95 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 32.65/8.95 | (253) ~ (all_0_43_43 = e2) % 32.65/8.95 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 32.65/8.95 | (276) ~ (all_0_55_55 = e2) % 32.65/8.95 | (260) ~ (all_0_59_59 = e2) % 32.65/8.95 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 32.65/8.95 | (274) ~ (all_0_53_53 = e2) % 32.65/8.95 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 32.65/8.95 | (373) ~ (all_0_51_51 = e2) % 32.65/8.95 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 32.65/8.95 | (256) ~ (all_0_47_47 = e2) % 32.65/8.95 | (377) ~ (all_0_57_57 = e2) % 32.65/8.95 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 32.65/8.95 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 32.65/8.95 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 32.65/8.95 | (258) ~ (all_0_50_50 = e2) % 32.65/8.95 | (254) ~ (all_0_45_45 = e2) % 32.65/8.95 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 32.65/8.95 | % 32.65/8.95 +-Applying beta-rule and splitting (556), into two cases. % 32.65/8.95 |-Branch one: % 32.65/8.95 | (939) ~ (all_0_40_40 = e2) % 32.65/8.95 | % 32.65/8.95 | Equations (917) can reduce 939 to: % 32.65/8.95 | (303) $false % 32.65/8.95 | % 32.65/8.95 |-The branch is then unsatisfiable % 32.65/8.95 |-Branch two: % 32.65/8.95 | (917) all_0_40_40 = e2 % 32.65/8.95 | (7127) all_0_42_42 = e4 & ~ (unit = e2) % 32.65/8.95 | % 32.65/8.95 | Applying alpha-rule on (7127) yields: % 32.65/8.95 | (3175) all_0_42_42 = e4 % 32.65/8.95 | (599) ~ (unit = e2) % 32.65/8.95 | % 32.65/8.95 | Combining equations (324,3175) yields a new equation: % 32.65/8.95 | (654) e4 = e0 % 32.65/8.95 | % 32.65/8.95 | Equations (654) can reduce 4 to: % 32.65/8.95 | (303) $false % 32.65/8.95 | % 32.65/8.95 |-The branch is then unsatisfiable % 32.65/8.95 |-Branch two: % 32.65/8.95 | (587) ~ (all_0_56_56 = e1) % 32.65/8.95 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 32.65/8.95 | % 32.65/8.95 +-Applying beta-rule and splitting (979), into two cases. % 32.65/8.95 |-Branch one: % 32.65/8.95 | (877) all_0_56_56 = e4 % 32.65/8.95 | % 32.65/8.95 | Equations (877) can reduce 345 to: % 32.65/8.95 | (303) $false % 32.65/8.95 | % 32.65/8.95 |-The branch is then unsatisfiable % 32.65/8.95 |-Branch two: % 32.65/8.95 | (345) ~ (all_0_56_56 = e4) % 32.65/8.95 | (2325) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 32.65/8.95 | % 32.65/8.95 +-Applying beta-rule and splitting (2325), into two cases. % 32.65/8.95 |-Branch one: % 32.65/8.95 | (583) all_0_56_56 = e1 % 32.65/8.95 | % 32.65/8.95 | Equations (583) can reduce 587 to: % 32.65/8.95 | (303) $false % 32.65/8.95 | % 32.65/8.95 |-The branch is then unsatisfiable % 32.65/8.95 |-Branch two: % 32.65/8.95 | (587) ~ (all_0_56_56 = e1) % 32.65/8.95 | (2329) all_0_56_56 = e3 | all_0_56_56 = e0 % 32.65/8.95 | % 32.65/8.95 +-Applying beta-rule and splitting (2329), into two cases. % 32.65/8.95 |-Branch one: % 32.65/8.95 | (2307) all_0_56_56 = e0 % 32.65/8.95 | % 32.65/8.95 | Equations (2307) can reduce 296 to: % 32.65/8.95 | (303) $false % 32.65/8.95 | % 32.65/8.95 |-The branch is then unsatisfiable % 32.65/8.95 |-Branch two: % 32.65/8.95 | (296) ~ (all_0_56_56 = e0) % 32.65/8.95 | (1111) all_0_56_56 = e3 % 32.65/8.95 | % 32.65/8.95 | Equations (1111) can reduce 526 to: % 32.65/8.95 | (303) $false % 32.65/8.95 | % 32.65/8.95 |-The branch is then unsatisfiable % 32.65/8.95 |-Branch two: % 32.65/8.95 | (939) ~ (all_0_40_40 = e2) % 32.65/8.95 | (2671) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 32.65/8.95 | % 32.65/8.95 +-Applying beta-rule and splitting (195), into two cases. % 32.65/8.95 |-Branch one: % 32.65/8.95 | (2081) all_0_44_44 = e3 % 32.65/8.95 | % 32.65/8.95 | Equations (2081) can reduce 124 to: % 32.65/8.95 | (432) ~ (all_0_40_40 = e3) % 32.65/8.95 | % 32.65/8.95 +-Applying beta-rule and splitting (2671), into two cases. % 32.65/8.95 |-Branch one: % 32.65/8.95 | (723) all_0_40_40 = e4 % 32.65/8.95 | % 32.65/8.95 | Equations (723) can reduce 844 to: % 32.65/8.95 | (303) $false % 32.65/8.95 | % 32.65/8.95 |-The branch is then unsatisfiable % 32.65/8.95 |-Branch two: % 32.65/8.95 | (844) ~ (all_0_40_40 = e4) % 32.65/8.95 | (2800) all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 32.65/8.95 | % 32.65/8.95 +-Applying beta-rule and splitting (2800), into two cases. % 32.65/8.95 |-Branch one: % 32.65/8.95 | (624) all_0_40_40 = e1 % 32.65/8.95 | % 32.65/8.95 | Equations (624) can reduce 683 to: % 32.65/8.95 | (303) $false % 32.65/8.95 | % 32.65/8.95 |-The branch is then unsatisfiable % 32.65/8.95 |-Branch two: % 32.65/8.95 | (683) ~ (all_0_40_40 = e1) % 32.65/8.95 | (2833) all_0_40_40 = e3 | all_0_40_40 = e0 % 32.65/8.95 | % 32.65/8.95 +-Applying beta-rule and splitting (2833), into two cases. % 32.65/8.95 |-Branch one: % 32.65/8.95 | (2834) all_0_40_40 = e0 % 32.65/8.95 | % 32.65/8.96 | Equations (2834) can reduce 288 to: % 32.65/8.96 | (303) $false % 32.65/8.96 | % 32.65/8.96 |-The branch is then unsatisfiable % 32.65/8.96 |-Branch two: % 32.65/8.96 | (288) ~ (all_0_40_40 = e0) % 32.65/8.96 | (1102) all_0_40_40 = e3 % 32.65/8.96 | % 32.65/8.96 | Equations (1102) can reduce 432 to: % 32.65/8.96 | (303) $false % 32.65/8.96 | % 32.65/8.96 |-The branch is then unsatisfiable % 32.65/8.96 |-Branch two: % 32.65/8.96 | (310) ~ (all_0_44_44 = e3) % 32.65/8.96 | (7006) all_0_47_47 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 32.65/8.96 | % 32.65/8.96 +-Applying beta-rule and splitting (7006), into two cases. % 32.65/8.96 |-Branch one: % 32.65/8.96 | (309) all_0_47_47 = e3 % 32.65/8.96 | % 32.65/8.96 | Combining equations (306,309) yields a new equation: % 32.65/8.96 | (497) e3 = e0 % 32.65/8.96 | % 32.65/8.96 | Equations (497) can reduce 70 to: % 32.65/8.96 | (303) $false % 32.65/8.96 | % 32.65/8.96 |-The branch is then unsatisfiable % 32.65/8.96 |-Branch two: % 32.65/8.96 | (516) ~ (all_0_47_47 = e3) % 32.65/8.96 | (7012) all_0_55_55 = e3 | all_0_60_60 = e3 % 32.65/8.96 | % 32.65/8.96 +-Applying beta-rule and splitting (7012), into two cases. % 32.65/8.96 |-Branch one: % 32.65/8.96 | (2165) all_0_55_55 = e3 % 32.65/8.96 | % 32.65/8.96 | Combining equations (530,2165) yields a new equation: % 32.65/8.96 | (601) e3 = e1 % 32.65/8.96 | % 32.65/8.96 | Equations (601) can reduce 136 to: % 32.65/8.96 | (303) $false % 32.65/8.96 | % 32.65/8.96 |-The branch is then unsatisfiable % 32.65/8.96 |-Branch two: % 32.65/8.96 | (314) ~ (all_0_55_55 = e3) % 32.65/8.96 | (1937) all_0_60_60 = e3 % 32.65/8.96 | % 32.65/8.96 | Equations (1937) can reduce 316 to: % 32.65/8.96 | (303) $false % 32.65/8.96 | % 32.65/8.96 |-The branch is then unsatisfiable % 32.65/8.96 |-Branch two: % 32.65/8.96 | (699) ~ (all_0_41_41 = e1) % 32.65/8.96 | (2158) all_0_41_41 = e3 | all_0_41_41 = e0 % 32.65/8.96 | % 32.65/8.96 +-Applying beta-rule and splitting (2138), into two cases. % 32.65/8.96 |-Branch one: % 32.65/8.96 | (431) all_0_41_41 = e3 % 32.65/8.96 | % 32.65/8.96 | Equations (431) can reduce 996 to: % 32.65/8.96 | (303) $false % 32.65/8.96 | % 32.65/8.96 |-The branch is then unsatisfiable % 32.65/8.96 |-Branch two: % 32.65/8.96 | (996) ~ (all_0_41_41 = e3) % 32.65/8.96 | (5989) all_0_43_43 = e3 | all_0_44_44 = e3 % 32.65/8.96 | % 32.65/8.96 +-Applying beta-rule and splitting (2158), into two cases. % 32.65/8.96 |-Branch one: % 32.65/8.96 | (398) all_0_41_41 = e0 % 32.65/8.96 | % 32.65/8.96 | Equations (398) can reduce 326 to: % 32.65/8.96 | (303) $false % 32.65/8.96 | % 32.65/8.96 |-The branch is then unsatisfiable % 32.65/8.96 |-Branch two: % 32.65/8.96 | (326) ~ (all_0_41_41 = e0) % 32.65/8.96 | (431) all_0_41_41 = e3 % 32.65/8.96 | % 32.65/8.96 | Equations (431) can reduce 996 to: % 32.65/8.96 | (303) $false % 32.65/8.96 | % 32.65/8.96 |-The branch is then unsatisfiable % 32.65/8.96 |-Branch two: % 32.65/8.96 | (428) ~ (all_0_53_53 = e3) % 32.65/8.96 | (1001) all_0_57_57 = e3 % 32.65/8.96 | % 32.65/8.96 | Combining equations (1001,407) yields a new equation: % 32.65/8.96 | (496) e3 = e0 % 32.65/8.96 | % 32.65/8.96 | Simplifying 496 yields: % 32.65/8.96 | (497) e3 = e0 % 32.65/8.96 | % 32.65/8.96 | Equations (497) can reduce 70 to: % 32.65/8.96 | (303) $false % 32.65/8.96 | % 32.65/8.96 |-The branch is then unsatisfiable % 32.65/8.96 |-Branch two: % 32.65/8.96 | (678) ~ (all_0_50_50 = e1) % 32.65/8.96 | (600) all_0_59_59 = e1 % 32.65/8.96 | % 32.65/8.96 | Combining equations (600,456) yields a new equation: % 32.65/8.96 | (601) e3 = e1 % 32.65/8.96 | % 32.65/8.96 | Equations (601) can reduce 136 to: % 32.65/8.96 | (303) $false % 32.65/8.96 | % 32.65/8.96 |-The branch is then unsatisfiable % 32.65/8.96 |-Branch two: % 32.65/8.96 | (1504) ~ (all_0_51_51 = e4) % 32.65/8.96 | (1505) all_0_55_55 = e4 | all_0_60_60 = e4 % 32.65/8.96 | % 32.65/8.96 +-Applying beta-rule and splitting (1505), into two cases. % 32.65/8.96 |-Branch one: % 32.65/8.96 | (473) all_0_55_55 = e4 % 32.65/8.96 | % 32.65/8.96 | Equations (473) can reduce 492 to: % 32.65/8.96 | (303) $false % 32.65/8.96 | % 32.65/8.96 |-The branch is then unsatisfiable % 32.65/8.96 |-Branch two: % 32.65/8.96 | (492) ~ (all_0_55_55 = e4) % 32.65/8.96 | (1510) all_0_60_60 = e4 % 32.65/8.96 | % 32.65/8.96 | Equations (1510) can reduce 350 to: % 32.65/8.96 | (303) $false % 32.65/8.96 | % 32.65/8.96 |-The branch is then unsatisfiable % 32.65/8.96 |-Branch two: % 32.65/8.96 | (712) ~ (all_0_43_43 = e4) % 32.65/8.96 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 32.65/8.96 | % 32.65/8.96 +-Applying beta-rule and splitting (713), into two cases. % 32.65/8.96 |-Branch one: % 32.65/8.96 | (714) all_0_50_50 = e4 % 32.65/8.96 | % 32.65/8.96 | Equations (714) can reduce 238 to: % 32.65/8.96 | (712) ~ (all_0_43_43 = e4) % 32.65/8.96 | % 32.65/8.96 | Equations (714) can reduce 171 to: % 32.65/8.96 | (6435) ~ (all_0_51_51 = e4) % 32.65/8.96 | % 32.65/8.96 | Simplifying 6435 yields: % 32.65/8.96 | (1504) ~ (all_0_51_51 = e4) % 32.65/8.96 | % 32.65/8.96 | Equations (714) can reduce 15 to: % 32.65/8.96 | (30) ~ (e4 = e3) % 32.65/8.96 | % 32.65/8.96 | Equations (714) can reduce 258 to: % 32.65/8.96 | (231) ~ (e4 = e2) % 32.65/8.96 | % 32.65/8.96 +-Applying beta-rule and splitting (100), into two cases. % 32.65/8.96 |-Branch one: % 32.65/8.96 | (618) all_0_43_43 = e1 % 32.65/8.96 | % 32.65/8.96 | Equations (618) can reduce 8 to: % 32.65/8.96 | (683) ~ (all_0_40_40 = e1) % 32.65/8.96 | % 32.65/8.96 | Equations (618) can reduce 43 to: % 32.65/8.96 | (699) ~ (all_0_41_41 = e1) % 32.65/8.96 | % 32.65/8.96 | Equations (618) can reduce 82 to: % 32.65/8.96 | (1022) ~ (all_0_44_44 = e1) % 32.65/8.96 | % 32.65/8.96 | Simplifying 1022 yields: % 32.65/8.96 | (512) ~ (all_0_44_44 = e1) % 32.65/8.96 | % 32.65/8.96 | Equations (618) can reduce 712 to: % 32.65/8.96 | (605) ~ (e4 = e1) % 32.65/8.96 | % 32.65/8.96 | Simplifying 605 yields: % 32.65/8.96 | (247) ~ (e4 = e1) % 32.65/8.96 | % 32.65/8.96 | Equations (618) can reduce 253 to: % 32.65/8.96 | (565) ~ (e2 = e1) % 32.65/8.96 | % 32.65/8.96 | Simplifying 565 yields: % 32.65/8.96 | (144) ~ (e2 = e1) % 32.65/8.96 | % 32.65/8.96 | Equations (618) can reduce 117 to: % 32.65/8.96 | (134) ~ (e1 = e0) % 32.65/8.96 | % 32.65/8.96 +-Applying beta-rule and splitting (228), into two cases. % 32.65/8.96 |-Branch one: % 32.65/8.96 | (748) all_0_48_48 = e1 % 32.65/8.96 | % 32.65/8.96 | Combining equations (380,748) yields a new equation: % 32.65/8.96 | (590) e1 = e0 % 32.65/8.96 | % 32.65/8.96 | Equations (590) can reduce 134 to: % 32.65/8.96 | (303) $false % 32.65/8.96 | % 32.65/8.96 |-The branch is then unsatisfiable % 32.65/8.96 |-Branch two: % 32.65/8.96 | (802) ~ (all_0_48_48 = e1) % 32.65/8.96 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 32.65/8.96 | % 32.65/8.96 | Equations (380) can reduce 802 to: % 32.65/8.96 | (661) ~ (e1 = e0) % 32.65/8.96 | % 32.65/8.96 | Simplifying 661 yields: % 32.65/8.96 | (134) ~ (e1 = e0) % 32.65/8.96 | % 32.65/8.96 +-Applying beta-rule and splitting (175), into two cases. % 32.65/8.96 |-Branch one: % 32.65/8.96 | (624) all_0_40_40 = e1 % 32.65/8.96 | % 32.65/8.96 | Equations (624) can reduce 683 to: % 32.65/8.96 | (303) $false % 32.65/8.96 | % 32.65/8.96 |-The branch is then unsatisfiable % 32.65/8.96 |-Branch two: % 32.65/8.96 | (683) ~ (all_0_40_40 = e1) % 32.65/8.96 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 32.65/8.96 | % 32.65/8.96 +-Applying beta-rule and splitting (803), into two cases. % 32.65/8.96 |-Branch one: % 32.65/8.96 | (1580) all_0_49_49 = e1 % 32.65/8.96 | % 32.65/8.96 | Combining equations (368,1580) yields a new equation: % 32.65/8.96 | (584) e2 = e1 % 32.65/8.96 | % 32.65/8.96 | Simplifying 584 yields: % 32.65/8.96 | (585) e2 = e1 % 32.65/8.96 | % 32.65/8.96 | Equations (585) can reduce 144 to: % 32.65/8.96 | (303) $false % 32.65/8.96 | % 32.65/8.96 |-The branch is then unsatisfiable % 32.65/8.96 |-Branch two: % 32.65/8.96 | (506) ~ (all_0_49_49 = e1) % 32.65/8.96 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 32.65/8.96 | % 32.65/8.96 | Equations (368) can reduce 506 to: % 32.65/8.96 | (144) ~ (e2 = e1) % 32.65/8.96 | % 32.65/8.96 +-Applying beta-rule and splitting (684), into two cases. % 32.65/8.96 |-Branch one: % 32.65/8.96 | (748) all_0_48_48 = e1 % 32.65/8.96 | % 32.65/8.96 | Combining equations (380,748) yields a new equation: % 32.65/8.96 | (590) e1 = e0 % 32.65/8.96 | % 32.65/8.96 | Equations (590) can reduce 134 to: % 32.65/8.96 | (303) $false % 32.65/8.96 | % 32.65/8.96 |-The branch is then unsatisfiable % 32.65/8.96 |-Branch two: % 32.65/8.96 | (802) ~ (all_0_48_48 = e1) % 32.65/8.96 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 32.65/8.96 | % 32.65/8.96 +-Applying beta-rule and splitting (807), into two cases. % 32.65/8.96 |-Branch one: % 32.65/8.96 | (1070) all_0_52_52 = e1 % 32.65/8.96 | % 32.65/8.96 | Combining equations (442,1070) yields a new equation: % 32.65/8.96 | (540) e4 = e1 % 32.65/8.96 | % 32.65/8.96 | Simplifying 540 yields: % 32.65/8.96 | (541) e4 = e1 % 32.65/8.96 | % 32.65/8.96 | Equations (541) can reduce 247 to: % 32.65/8.96 | (303) $false % 32.65/8.96 | % 32.65/8.96 |-The branch is then unsatisfiable % 32.65/8.96 |-Branch two: % 32.65/8.96 | (502) ~ (all_0_52_52 = e1) % 32.65/8.96 | (583) all_0_56_56 = e1 % 32.65/8.96 | % 32.65/8.96 | Equations (583) can reduce 57 to: % 32.65/8.96 | (683) ~ (all_0_40_40 = e1) % 32.65/8.96 | % 32.65/8.96 | Equations (583) can reduce 174 to: % 32.65/8.96 | (1050) ~ (all_0_60_60 = e1) % 32.65/8.96 | % 32.65/8.96 | Simplifying 1050 yields: % 32.65/8.96 | (501) ~ (all_0_60_60 = e1) % 32.65/8.96 | % 32.65/8.96 | Equations (583) can reduce 296 to: % 32.65/8.96 | (134) ~ (e1 = e0) % 32.65/8.96 | % 32.65/8.96 +-Applying beta-rule and splitting (96), into two cases. % 32.65/8.96 |-Branch one: % 32.65/8.96 | (917) all_0_40_40 = e2 % 32.65/8.96 | % 32.65/8.96 | Equations (917) can reduce 151 to: % 32.65/8.96 | (5977) ~ (all_0_41_41 = e2) % 32.65/8.96 | % 32.65/8.96 | Simplifying 5977 yields: % 32.65/8.96 | (369) ~ (all_0_41_41 = e2) % 32.65/8.96 | % 32.65/8.96 | Equations (917) can reduce 844 to: % 32.65/8.96 | (261) ~ (e4 = e2) % 32.65/8.96 | % 32.65/8.96 | Simplifying 261 yields: % 32.65/8.96 | (231) ~ (e4 = e2) % 32.65/8.96 | % 32.65/8.96 | Equations (917) can reduce 432 to: % 32.65/8.96 | (577) ~ (e3 = e2) % 32.65/8.96 | % 32.65/8.96 | Simplifying 577 yields: % 32.65/8.96 | (223) ~ (e3 = e2) % 32.65/8.96 | % 32.65/8.96 | Equations (917) can reduce 683 to: % 32.65/8.96 | (144) ~ (e2 = e1) % 32.65/8.96 | % 32.65/8.96 | Equations (917) can reduce 288 to: % 32.65/8.96 | (51) ~ (e2 = e0) % 32.65/8.96 | % 32.65/8.96 +-Applying beta-rule and splitting (180), into two cases. % 32.65/8.96 |-Branch one: % 32.65/8.96 | (945) all_0_41_41 = e2 % 32.65/8.96 | % 32.65/8.96 | Equations (945) can reduce 369 to: % 32.65/8.96 | (303) $false % 32.65/8.96 | % 32.65/8.96 |-The branch is then unsatisfiable % 32.65/8.96 |-Branch two: % 32.65/8.96 | (369) ~ (all_0_41_41 = e2) % 32.65/8.96 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 32.65/8.96 | % 32.65/8.96 +-Applying beta-rule and splitting (61), into two cases. % 32.65/8.96 |-Branch one: % 32.65/8.96 | (580) all_0_56_56 = e2 % 32.65/8.96 | % 32.65/8.96 | Combining equations (583,580) yields a new equation: % 32.65/8.96 | (585) e2 = e1 % 32.65/8.96 | % 32.65/8.96 | Equations (585) can reduce 144 to: % 32.65/8.96 | (303) $false % 32.65/8.96 | % 32.65/8.96 |-The branch is then unsatisfiable % 32.65/8.96 |-Branch two: % 32.65/8.96 | (594) ~ (all_0_56_56 = e2) % 32.65/8.96 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 32.65/8.96 | % 32.65/8.96 +-Applying beta-rule and splitting (896), into two cases. % 32.65/8.96 |-Branch one: % 32.65/8.96 | (897) all_0_57_57 = e2 % 32.65/8.96 | % 32.65/8.96 | Combining equations (407,897) yields a new equation: % 32.65/8.96 | (385) e2 = e0 % 32.65/8.96 | % 32.65/8.96 | Equations (385) can reduce 51 to: % 32.65/8.96 | (303) $false % 32.65/8.96 | % 32.65/8.96 |-The branch is then unsatisfiable % 32.65/8.96 |-Branch two: % 32.65/8.96 | (377) ~ (all_0_57_57 = e2) % 32.65/8.96 | (902) all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 32.65/8.96 | % 32.65/8.96 +-Applying beta-rule and splitting (902), into two cases. % 32.65/8.96 |-Branch one: % 32.65/8.96 | (340) all_0_58_58 = e2 % 32.65/8.96 | % 32.65/8.96 | Combining equations (344,340) yields a new equation: % 32.65/8.96 | (878) e4 = e2 % 32.65/8.96 | % 32.65/8.96 | Simplifying 878 yields: % 32.65/8.96 | (470) e4 = e2 % 32.65/8.96 | % 32.65/8.96 | Equations (470) can reduce 231 to: % 32.65/8.96 | (303) $false % 32.65/8.96 | % 32.65/8.96 |-The branch is then unsatisfiable % 32.65/8.96 |-Branch two: % 32.65/8.96 | (278) ~ (all_0_58_58 = e2) % 32.65/8.97 | (908) all_0_59_59 = e2 | all_0_60_60 = e2 % 32.65/8.97 | % 32.65/8.97 +-Applying beta-rule and splitting (908), into two cases. % 32.65/8.97 |-Branch one: % 32.65/8.97 | (909) all_0_59_59 = e2 % 32.65/8.97 | % 32.65/8.97 | Combining equations (909,456) yields a new equation: % 32.65/8.97 | (453) e3 = e2 % 32.65/8.97 | % 32.65/8.97 | Equations (453) can reduce 223 to: % 32.65/8.97 | (303) $false % 32.65/8.97 | % 32.65/8.97 |-The branch is then unsatisfiable % 32.65/8.97 |-Branch two: % 32.65/8.97 | (260) ~ (all_0_59_59 = e2) % 32.65/8.97 | (913) all_0_60_60 = e2 % 32.65/8.97 | % 32.65/8.97 | Equations (913) can reduce 165 to: % 32.65/8.97 | (915) ~ (all_0_44_44 = e2) % 32.65/8.97 | % 32.65/8.97 | Equations (913) can reduce 95 to: % 32.65/8.97 | (373) ~ (all_0_51_51 = e2) % 32.65/8.97 | % 32.65/8.97 | Equations (913) can reduce 501 to: % 32.65/8.97 | (144) ~ (e2 = e1) % 32.65/8.97 | % 32.65/8.97 +-Applying beta-rule and splitting (1017), into two cases. % 32.65/8.97 |-Branch one: % 32.65/8.97 | (696) all_0_41_41 = e1 % 32.65/8.97 | % 32.65/8.97 | Equations (696) can reduce 699 to: % 32.65/8.97 | (303) $false % 32.65/8.97 | % 32.65/8.97 |-The branch is then unsatisfiable % 32.65/8.97 |-Branch two: % 32.65/8.97 | (699) ~ (all_0_41_41 = e1) % 32.65/8.97 | (2158) all_0_41_41 = e3 | all_0_41_41 = e0 % 32.65/8.97 | % 32.65/8.97 +-Applying beta-rule and splitting (221), into two cases. % 32.65/8.97 |-Branch one: % 32.65/8.97 | (696) all_0_41_41 = e1 % 32.65/8.97 | % 32.65/8.97 | Equations (696) can reduce 699 to: % 32.65/8.97 | (303) $false % 32.65/8.97 | % 32.65/8.97 |-The branch is then unsatisfiable % 32.65/8.97 |-Branch two: % 32.65/8.97 | (699) ~ (all_0_41_41 = e1) % 32.65/8.97 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 32.65/8.97 | % 32.65/8.97 +-Applying beta-rule and splitting (2154), into two cases. % 32.65/8.97 |-Branch one: % 32.65/8.97 | (1580) all_0_49_49 = e1 % 32.65/8.97 | % 32.65/8.97 | Combining equations (1580,368) yields a new equation: % 32.65/8.97 | (585) e2 = e1 % 32.65/8.97 | % 32.65/8.97 | Equations (585) can reduce 144 to: % 32.65/8.97 | (303) $false % 32.65/8.97 | % 32.65/8.97 |-The branch is then unsatisfiable % 32.65/8.97 |-Branch two: % 32.65/8.97 | (506) ~ (all_0_49_49 = e1) % 32.65/8.97 | (2676) all_0_53_53 = e1 | all_0_57_57 = e1 % 32.65/8.97 | % 32.65/8.97 +-Applying beta-rule and splitting (2676), into two cases. % 32.65/8.97 |-Branch one: % 32.65/8.97 | (462) all_0_53_53 = e1 % 32.65/8.97 | % 32.65/8.97 | Equations (462) can reduce 229 to: % 32.65/8.97 | (605) ~ (e4 = e1) % 32.65/8.97 | % 32.65/8.97 | Simplifying 605 yields: % 32.65/8.97 | (247) ~ (e4 = e1) % 32.65/8.97 | % 32.65/8.97 +-Applying beta-rule and splitting (64), into two cases. % 32.65/8.97 |-Branch one: % 32.65/8.97 | (425) all_0_52_52 = e3 % 32.65/8.97 | % 32.65/8.97 | Combining equations (442,425) yields a new equation: % 32.65/8.97 | (718) e4 = e3 % 32.65/8.97 | % 32.65/8.97 | Simplifying 718 yields: % 32.65/8.97 | (443) e4 = e3 % 32.65/8.97 | % 32.65/8.97 | Equations (443) can reduce 30 to: % 32.65/8.97 | (303) $false % 32.65/8.97 | % 32.65/8.97 |-The branch is then unsatisfiable % 32.65/8.97 |-Branch two: % 32.65/8.97 | (521) ~ (all_0_52_52 = e3) % 32.65/8.97 | (1006) all_0_53_53 = e3 | all_0_55_55 = e3 % 32.65/8.97 | % 32.65/8.97 +-Applying beta-rule and splitting (241), into two cases. % 32.65/8.97 |-Branch one: % 32.65/8.97 | (1096) all_0_44_44 = e4 % 32.65/8.97 | % 32.65/8.97 | Equations (1096) can reduce 512 to: % 32.65/8.97 | (247) ~ (e4 = e1) % 32.65/8.97 | % 32.65/8.97 | Equations (1096) can reduce 330 to: % 32.65/8.97 | (4) ~ (e4 = e0) % 32.65/8.97 | % 32.65/8.97 +-Applying beta-rule and splitting (1585), into two cases. % 32.65/8.97 |-Branch one: % 32.65/8.97 | (627) all_0_50_50 = e1 % 32.65/8.97 | % 32.65/8.97 | Combining equations (627,714) yields a new equation: % 32.65/8.97 | (541) e4 = e1 % 32.65/8.97 | % 32.65/8.97 | Equations (541) can reduce 247 to: % 32.65/8.97 | (303) $false % 32.65/8.97 | % 32.65/8.97 |-The branch is then unsatisfiable % 32.65/8.97 |-Branch two: % 32.65/8.97 | (678) ~ (all_0_50_50 = e1) % 32.65/8.97 | (1590) all_0_51_51 = e1 % 32.65/8.97 | % 32.65/8.97 | Equations (1590) can reduce 13 to: % 32.65/8.97 | (463) ~ (all_0_55_55 = e1) % 32.65/8.97 | % 32.65/8.97 | Simplifying 463 yields: % 32.65/8.97 | (464) ~ (all_0_55_55 = e1) % 32.65/8.97 | % 32.65/8.97 | Equations (1590) can reduce 32 to: % 32.65/8.97 | (465) ~ (e3 = e1) % 32.65/8.97 | % 32.65/8.97 | Simplifying 465 yields: % 32.65/8.97 | (136) ~ (e3 = e1) % 32.65/8.97 | % 32.65/8.97 | Equations (1590) can reduce 373 to: % 32.65/8.97 | (565) ~ (e2 = e1) % 32.65/8.97 | % 32.65/8.97 | Simplifying 565 yields: % 32.65/8.97 | (144) ~ (e2 = e1) % 32.65/8.97 | % 32.65/8.97 +-Applying beta-rule and splitting (1006), into two cases. % 32.65/8.97 |-Branch one: % 32.65/8.97 | (994) all_0_53_53 = e3 % 32.65/8.97 | % 32.65/8.97 | Combining equations (994,462) yields a new equation: % 32.65/8.97 | (680) e3 = e1 % 32.65/8.97 | % 32.65/8.97 | Simplifying 680 yields: % 32.65/8.97 | (601) e3 = e1 % 32.65/8.97 | % 32.65/8.97 | Equations (601) can reduce 136 to: % 32.65/8.97 | (303) $false % 32.65/8.97 | % 32.65/8.97 |-The branch is then unsatisfiable % 32.65/8.97 |-Branch two: % 32.65/8.97 | (428) ~ (all_0_53_53 = e3) % 32.65/8.97 | (2165) all_0_55_55 = e3 % 32.65/8.97 | % 32.65/8.97 | Equations (2165) can reduce 464 to: % 32.65/8.97 | (136) ~ (e3 = e1) % 32.65/8.97 | % 32.65/8.97 +-Applying beta-rule and splitting (56), into two cases. % 32.65/8.97 |-Branch one: % 32.65/8.97 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 32.65/8.97 | % 32.65/8.97 +-Applying beta-rule and splitting (480), into two cases. % 32.65/8.97 |-Branch one: % 32.65/8.97 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 32.65/8.97 | % 32.65/8.97 +-Applying beta-rule and splitting (481), into two cases. % 32.65/8.97 |-Branch one: % 32.65/8.97 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 32.65/8.97 | % 32.65/8.97 +-Applying beta-rule and splitting (482), into two cases. % 32.65/8.97 |-Branch one: % 32.65/8.97 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 32.65/8.97 | % 32.65/8.97 | Applying alpha-rule on (483) yields: % 32.65/8.97 | (484) ~ (unit = e4) % 32.65/8.97 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 32.65/8.97 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 32.65/8.97 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 32.65/8.97 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 32.65/8.97 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 32.65/8.97 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 32.65/8.97 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 32.65/8.97 | (492) ~ (all_0_55_55 = e4) % 32.65/8.97 | (493) all_0_45_45 = e3 % 32.65/8.97 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 32.65/8.97 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 32.65/8.97 | % 32.65/8.97 +-Applying beta-rule and splitting (489), into two cases. % 32.65/8.97 |-Branch one: % 32.65/8.97 | (3161) ~ (all_0_58_58 = e4) % 32.65/8.97 | % 32.65/8.97 | Equations (344) can reduce 3161 to: % 32.65/8.97 | (303) $false % 32.65/8.97 | % 32.65/8.97 |-The branch is then unsatisfiable % 32.65/8.97 |-Branch two: % 32.65/8.97 | (344) all_0_58_58 = e4 % 32.65/8.97 | (580) all_0_56_56 = e2 % 32.65/8.97 | % 32.65/8.97 | Combining equations (583,580) yields a new equation: % 32.65/8.97 | (585) e2 = e1 % 32.65/8.97 | % 32.65/8.97 | Equations (585) can reduce 144 to: % 32.65/8.97 | (303) $false % 32.65/8.97 | % 32.65/8.97 |-The branch is then unsatisfiable % 32.65/8.97 |-Branch two: % 32.65/8.97 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 32.65/8.97 | % 32.65/8.97 | Applying alpha-rule on (499) yields: % 32.65/8.97 | (500) ~ (all_0_51_51 = e1) % 32.65/8.97 | (501) ~ (all_0_60_60 = e1) % 32.65/8.97 | (502) ~ (all_0_52_52 = e1) % 32.65/8.97 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 32.65/8.97 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 32.65/8.97 | (252) all_0_46_46 = e2 % 32.65/8.97 | (506) ~ (all_0_49_49 = e1) % 32.65/8.97 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 32.65/8.97 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 32.65/8.97 | (509) ~ (all_0_53_53 = e1) % 32.65/8.97 | (510) ~ (unit = e1) % 32.65/8.97 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 32.65/8.97 | (512) ~ (all_0_44_44 = e1) % 32.65/8.97 | % 32.65/8.97 | Equations (462) can reduce 509 to: % 32.65/8.97 | (303) $false % 32.65/8.97 | % 32.65/8.97 |-The branch is then unsatisfiable % 32.65/8.97 |-Branch two: % 32.65/8.97 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 32.65/8.97 | % 32.65/8.97 | Applying alpha-rule on (514) yields: % 32.65/8.97 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 32.65/8.97 | (516) ~ (all_0_47_47 = e3) % 32.65/8.97 | (314) ~ (all_0_55_55 = e3) % 32.65/8.97 | (368) all_0_49_49 = e2 % 32.65/8.97 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 32.65/8.97 | (520) ~ (unit = e3) % 32.65/8.97 | (521) ~ (all_0_52_52 = e3) % 32.65/8.97 | (455) ~ (all_0_46_46 = e3) % 32.65/8.97 | (432) ~ (all_0_40_40 = e3) % 32.65/8.97 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 32.65/8.97 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 32.65/8.97 | (526) ~ (all_0_56_56 = e3) % 32.65/8.97 | % 32.65/8.97 | Equations (2165) can reduce 314 to: % 32.65/8.97 | (303) $false % 32.65/8.97 | % 32.65/8.97 |-The branch is then unsatisfiable % 32.65/8.97 |-Branch two: % 32.65/8.97 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 32.65/8.97 | % 32.65/8.97 | Applying alpha-rule on (528) yields: % 32.65/8.97 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 32.65/8.97 | (530) all_0_55_55 = e1 % 32.65/8.97 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 32.65/8.97 | (387) ~ (all_0_49_49 = e0) % 32.65/8.97 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 32.65/8.97 | (534) ~ (all_0_45_45 = e0) % 32.65/8.97 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 32.65/8.97 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 32.65/8.97 | (537) ~ (unit = e0) % 32.65/8.97 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 32.65/8.97 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 32.65/8.97 | % 32.65/8.97 | Combining equations (530,2165) yields a new equation: % 32.65/8.97 | (601) e3 = e1 % 32.65/8.97 | % 32.65/8.97 | Equations (601) can reduce 136 to: % 32.65/8.97 | (303) $false % 32.65/8.97 | % 32.65/8.97 |-The branch is then unsatisfiable % 32.65/8.97 |-Branch two: % 32.65/8.97 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 32.65/8.97 | % 32.65/8.97 | Applying alpha-rule on (543) yields: % 32.65/8.97 | (544) ~ (all_0_48_48 = e2) % 32.65/8.97 | (369) ~ (all_0_41_41 = e2) % 32.65/8.97 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 32.65/8.97 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 32.65/8.97 | (253) ~ (all_0_43_43 = e2) % 32.65/8.97 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 32.65/8.97 | (276) ~ (all_0_55_55 = e2) % 32.65/8.97 | (260) ~ (all_0_59_59 = e2) % 32.65/8.97 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 32.65/8.97 | (274) ~ (all_0_53_53 = e2) % 32.65/8.97 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 32.65/8.97 | (373) ~ (all_0_51_51 = e2) % 32.65/8.97 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 32.65/8.98 | (256) ~ (all_0_47_47 = e2) % 32.65/8.98 | (377) ~ (all_0_57_57 = e2) % 32.65/8.98 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 32.65/8.98 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 32.65/8.98 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 32.65/8.98 | (258) ~ (all_0_50_50 = e2) % 32.65/8.98 | (254) ~ (all_0_45_45 = e2) % 32.65/8.98 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 32.65/8.98 | % 32.65/8.98 +-Applying beta-rule and splitting (547), into two cases. % 32.65/8.98 |-Branch one: % 32.65/8.98 | (571) ~ (all_0_60_60 = e2) % 32.65/8.98 | % 32.65/8.98 | Equations (913) can reduce 571 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (913) all_0_60_60 = e2 % 32.65/8.98 | (988) all_0_58_58 = e0 & ~ (unit = e2) % 32.65/8.98 | % 32.65/8.98 | Applying alpha-rule on (988) yields: % 32.65/8.98 | (989) all_0_58_58 = e0 % 32.65/8.98 | (599) ~ (unit = e2) % 32.65/8.98 | % 32.65/8.98 | Combining equations (989,344) yields a new equation: % 32.65/8.98 | (654) e4 = e0 % 32.65/8.98 | % 32.65/8.98 | Equations (654) can reduce 4 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (474) ~ (all_0_44_44 = e4) % 32.65/8.98 | (1500) all_0_51_51 = e4 | all_0_55_55 = e4 | all_0_60_60 = e4 % 32.65/8.98 | % 32.65/8.98 +-Applying beta-rule and splitting (87), into two cases. % 32.65/8.98 |-Branch one: % 32.65/8.98 | (572) all_0_44_44 = e2 % 32.65/8.98 | % 32.65/8.98 | Equations (572) can reduce 915 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (915) ~ (all_0_44_44 = e2) % 32.65/8.98 | (2069) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 32.65/8.98 | % 32.65/8.98 +-Applying beta-rule and splitting (1585), into two cases. % 32.65/8.98 |-Branch one: % 32.65/8.98 | (627) all_0_50_50 = e1 % 32.65/8.98 | % 32.65/8.98 | Combining equations (627,714) yields a new equation: % 32.65/8.98 | (541) e4 = e1 % 32.65/8.98 | % 32.65/8.98 | Equations (541) can reduce 247 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (678) ~ (all_0_50_50 = e1) % 32.65/8.98 | (1590) all_0_51_51 = e1 % 32.65/8.98 | % 32.65/8.98 | Equations (1590) can reduce 161 to: % 32.65/8.98 | (512) ~ (all_0_44_44 = e1) % 32.65/8.98 | % 32.65/8.98 | Equations (1590) can reduce 32 to: % 32.65/8.98 | (465) ~ (e3 = e1) % 32.65/8.98 | % 32.65/8.98 | Simplifying 465 yields: % 32.65/8.98 | (136) ~ (e3 = e1) % 32.65/8.98 | % 32.65/8.98 +-Applying beta-rule and splitting (1006), into two cases. % 32.65/8.98 |-Branch one: % 32.65/8.98 | (994) all_0_53_53 = e3 % 32.65/8.98 | % 32.65/8.98 | Combining equations (994,462) yields a new equation: % 32.65/8.98 | (680) e3 = e1 % 32.65/8.98 | % 32.65/8.98 | Simplifying 680 yields: % 32.65/8.98 | (601) e3 = e1 % 32.65/8.98 | % 32.65/8.98 | Equations (601) can reduce 136 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (428) ~ (all_0_53_53 = e3) % 32.65/8.98 | (2165) all_0_55_55 = e3 % 32.65/8.98 | % 32.65/8.98 | Equations (2165) can reduce 59 to: % 32.65/8.98 | (310) ~ (all_0_44_44 = e3) % 32.65/8.98 | % 32.65/8.98 +-Applying beta-rule and splitting (2069), into two cases. % 32.65/8.98 |-Branch one: % 32.65/8.98 | (1096) all_0_44_44 = e4 % 32.65/8.98 | % 32.65/8.98 | Equations (1096) can reduce 474 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (474) ~ (all_0_44_44 = e4) % 32.65/8.98 | (2073) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 32.65/8.98 | % 32.65/8.98 +-Applying beta-rule and splitting (2073), into two cases. % 32.65/8.98 |-Branch one: % 32.65/8.98 | (705) all_0_44_44 = e1 % 32.65/8.98 | % 32.65/8.98 | Equations (705) can reduce 512 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (512) ~ (all_0_44_44 = e1) % 32.65/8.98 | (2077) all_0_44_44 = e3 | all_0_44_44 = e0 % 32.65/8.98 | % 32.65/8.98 +-Applying beta-rule and splitting (2077), into two cases. % 32.65/8.98 |-Branch one: % 32.65/8.98 | (2078) all_0_44_44 = e0 % 32.65/8.98 | % 32.65/8.98 | Equations (2078) can reduce 330 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (330) ~ (all_0_44_44 = e0) % 32.65/8.98 | (2081) all_0_44_44 = e3 % 32.65/8.98 | % 32.65/8.98 | Equations (2081) can reduce 310 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (509) ~ (all_0_53_53 = e1) % 32.65/8.98 | (589) all_0_57_57 = e1 % 32.65/8.98 | % 32.65/8.98 | Combining equations (407,589) yields a new equation: % 32.65/8.98 | (590) e1 = e0 % 32.65/8.98 | % 32.65/8.98 | Equations (590) can reduce 134 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (939) ~ (all_0_40_40 = e2) % 32.65/8.98 | (944) all_0_45_45 = e2 | all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 32.65/8.98 | % 32.65/8.98 +-Applying beta-rule and splitting (944), into two cases. % 32.65/8.98 |-Branch one: % 32.65/8.98 | (951) all_0_45_45 = e2 % 32.65/8.98 | % 32.65/8.98 | Combining equations (493,951) yields a new equation: % 32.65/8.98 | (452) e3 = e2 % 32.65/8.98 | % 32.65/8.98 | Simplifying 452 yields: % 32.65/8.98 | (453) e3 = e2 % 32.65/8.98 | % 32.65/8.98 | Equations (453) can reduce 223 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (254) ~ (all_0_45_45 = e2) % 32.65/8.98 | (956) all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 32.65/8.98 | % 32.65/8.98 +-Applying beta-rule and splitting (956), into two cases. % 32.65/8.98 |-Branch one: % 32.65/8.98 | (727) all_0_48_48 = e2 % 32.65/8.98 | % 32.65/8.98 | Combining equations (380,727) yields a new equation: % 32.65/8.98 | (385) e2 = e0 % 32.65/8.98 | % 32.65/8.98 | Equations (385) can reduce 51 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (544) ~ (all_0_48_48 = e2) % 32.65/8.98 | (975) all_0_52_52 = e2 | all_0_56_56 = e2 % 32.65/8.98 | % 32.65/8.98 +-Applying beta-rule and splitting (975), into two cases. % 32.65/8.98 |-Branch one: % 32.65/8.98 | (980) all_0_52_52 = e2 % 32.65/8.98 | % 32.65/8.98 | Combining equations (980,442) yields a new equation: % 32.65/8.98 | (470) e4 = e2 % 32.65/8.98 | % 32.65/8.98 | Equations (470) can reduce 231 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (273) ~ (all_0_52_52 = e2) % 32.65/8.98 | (580) all_0_56_56 = e2 % 32.65/8.98 | % 32.65/8.98 | Combining equations (580,583) yields a new equation: % 32.65/8.98 | (584) e2 = e1 % 32.65/8.98 | % 32.65/8.98 | Simplifying 584 yields: % 32.65/8.98 | (585) e2 = e1 % 32.65/8.98 | % 32.65/8.98 | Equations (585) can reduce 144 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (622) ~ (all_0_43_43 = e1) % 32.65/8.98 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 32.65/8.98 | % 32.65/8.98 +-Applying beta-rule and splitting (228), into two cases. % 32.65/8.98 |-Branch one: % 32.65/8.98 | (748) all_0_48_48 = e1 % 32.65/8.98 | % 32.65/8.98 | Combining equations (380,748) yields a new equation: % 32.65/8.98 | (590) e1 = e0 % 32.65/8.98 | % 32.65/8.98 | Equations (590) can reduce 134 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (802) ~ (all_0_48_48 = e1) % 32.65/8.98 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 32.65/8.98 | % 32.65/8.98 +-Applying beta-rule and splitting (803), into two cases. % 32.65/8.98 |-Branch one: % 32.65/8.98 | (1580) all_0_49_49 = e1 % 32.65/8.98 | % 32.65/8.98 | Combining equations (368,1580) yields a new equation: % 32.65/8.98 | (584) e2 = e1 % 32.65/8.98 | % 32.65/8.98 | Simplifying 584 yields: % 32.65/8.98 | (585) e2 = e1 % 32.65/8.98 | % 32.65/8.98 | Equations (585) can reduce 144 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (506) ~ (all_0_49_49 = e1) % 32.65/8.98 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 32.65/8.98 | % 32.65/8.98 +-Applying beta-rule and splitting (1585), into two cases. % 32.65/8.98 |-Branch one: % 32.65/8.98 | (627) all_0_50_50 = e1 % 32.65/8.98 | % 32.65/8.98 | Combining equations (714,627) yields a new equation: % 32.65/8.98 | (540) e4 = e1 % 32.65/8.98 | % 32.65/8.98 | Simplifying 540 yields: % 32.65/8.98 | (541) e4 = e1 % 32.65/8.98 | % 32.65/8.98 | Equations (541) can reduce 247 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (678) ~ (all_0_50_50 = e1) % 32.65/8.98 | (1590) all_0_51_51 = e1 % 32.65/8.98 | % 32.65/8.98 | Equations (1590) can reduce 1504 to: % 32.65/8.98 | (605) ~ (e4 = e1) % 32.65/8.98 | % 32.65/8.98 | Simplifying 605 yields: % 32.65/8.98 | (247) ~ (e4 = e1) % 32.65/8.98 | % 32.65/8.98 | Equations (1590) can reduce 32 to: % 32.65/8.98 | (465) ~ (e3 = e1) % 32.65/8.98 | % 32.65/8.98 | Simplifying 465 yields: % 32.65/8.98 | (136) ~ (e3 = e1) % 32.65/8.98 | % 32.65/8.98 +-Applying beta-rule and splitting (85), into two cases. % 32.65/8.98 |-Branch one: % 32.65/8.98 | (1070) all_0_52_52 = e1 % 32.65/8.98 | % 32.65/8.98 | Combining equations (442,1070) yields a new equation: % 32.65/8.98 | (540) e4 = e1 % 32.65/8.98 | % 32.65/8.98 | Simplifying 540 yields: % 32.65/8.98 | (541) e4 = e1 % 32.65/8.98 | % 32.65/8.98 | Equations (541) can reduce 247 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (502) ~ (all_0_52_52 = e1) % 32.65/8.98 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 32.65/8.98 | % 32.65/8.98 | Equations (442) can reduce 502 to: % 32.65/8.98 | (247) ~ (e4 = e1) % 32.65/8.98 | % 32.65/8.98 +-Applying beta-rule and splitting (623), into two cases. % 32.65/8.98 |-Branch one: % 32.65/8.98 | (627) all_0_50_50 = e1 % 32.65/8.98 | % 32.65/8.98 | Combining equations (714,627) yields a new equation: % 32.65/8.98 | (540) e4 = e1 % 32.65/8.98 | % 32.65/8.98 | Simplifying 540 yields: % 32.65/8.98 | (541) e4 = e1 % 32.65/8.98 | % 32.65/8.98 | Equations (541) can reduce 247 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (678) ~ (all_0_50_50 = e1) % 32.65/8.98 | (600) all_0_59_59 = e1 % 32.65/8.98 | % 32.65/8.98 | Combining equations (600,456) yields a new equation: % 32.65/8.98 | (601) e3 = e1 % 32.65/8.98 | % 32.65/8.98 | Equations (601) can reduce 136 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (611) ~ (all_0_50_50 = e4) % 32.65/8.98 | (717) all_0_59_59 = e4 % 32.65/8.98 | % 32.65/8.98 | Combining equations (717,456) yields a new equation: % 32.65/8.98 | (718) e4 = e3 % 32.65/8.98 | % 32.65/8.98 | Simplifying 718 yields: % 32.65/8.98 | (443) e4 = e3 % 32.65/8.98 | % 32.65/8.98 | Equations (443) can reduce 30 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (445) ~ (all_0_52_52 = e4) % 32.65/8.98 | (446) all_0_54_54 = e4 | all_0_55_55 = e4 % 32.65/8.98 | % 32.65/8.98 +-Applying beta-rule and splitting (24), into two cases. % 32.65/8.98 |-Branch one: % 32.65/8.98 | (980) all_0_52_52 = e2 % 32.65/8.98 | % 32.65/8.98 | Equations (980) can reduce 273 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (273) ~ (all_0_52_52 = e2) % 32.65/8.98 | (1772) all_0_52_52 = e4 | all_0_52_52 = e3 | all_0_52_52 = e1 % 32.65/8.98 | % 32.65/8.98 +-Applying beta-rule and splitting (446), into two cases. % 32.65/8.98 |-Branch one: % 32.65/8.98 | (469) all_0_54_54 = e4 % 32.65/8.98 | % 32.65/8.98 | Combining equations (271,469) yields a new equation: % 32.65/8.98 | (470) e4 = e2 % 32.65/8.98 | % 32.65/8.98 | Equations (470) can reduce 231 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (472) ~ (all_0_54_54 = e4) % 32.65/8.98 | (473) all_0_55_55 = e4 % 32.65/8.98 | % 32.65/8.98 | Equations (473) can reduce 13 to: % 32.65/8.98 | (1504) ~ (all_0_51_51 = e4) % 32.65/8.98 | % 32.65/8.98 | Equations (473) can reduce 169 to: % 32.65/8.98 | (445) ~ (all_0_52_52 = e4) % 32.65/8.98 | % 32.65/8.98 +-Applying beta-rule and splitting (64), into two cases. % 32.65/8.98 |-Branch one: % 32.65/8.98 | (425) all_0_52_52 = e3 % 32.65/8.98 | % 32.65/8.98 | Equations (425) can reduce 521 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (521) ~ (all_0_52_52 = e3) % 32.65/8.98 | (1006) all_0_53_53 = e3 | all_0_55_55 = e3 % 32.65/8.98 | % 32.65/8.98 +-Applying beta-rule and splitting (722), into two cases. % 32.65/8.98 |-Branch one: % 32.65/8.98 | (714) all_0_50_50 = e4 % 32.65/8.98 | % 32.65/8.98 | Equations (714) can reduce 171 to: % 32.65/8.98 | (6435) ~ (all_0_51_51 = e4) % 32.65/8.98 | % 32.65/8.98 | Simplifying 6435 yields: % 32.65/8.98 | (1504) ~ (all_0_51_51 = e4) % 32.65/8.98 | % 32.65/8.98 +-Applying beta-rule and splitting (166), into two cases. % 32.65/8.98 |-Branch one: % 32.65/8.98 | (927) all_0_51_51 = e2 % 32.65/8.98 | % 32.65/8.98 | Equations (927) can reduce 373 to: % 32.65/8.98 | (303) $false % 32.65/8.98 | % 32.65/8.98 |-The branch is then unsatisfiable % 32.65/8.98 |-Branch two: % 32.65/8.98 | (373) ~ (all_0_51_51 = e2) % 32.65/8.99 | (6448) all_0_51_51 = e4 | all_0_51_51 = e1 | all_0_51_51 = e0 % 32.65/8.99 | % 32.65/8.99 +-Applying beta-rule and splitting (6448), into two cases. % 32.65/8.99 |-Branch one: % 32.65/8.99 | (1501) all_0_51_51 = e4 % 32.65/8.99 | % 32.65/8.99 | Equations (1501) can reduce 1504 to: % 32.65/8.99 | (303) $false % 32.65/8.99 | % 32.65/8.99 |-The branch is then unsatisfiable % 32.65/8.99 |-Branch two: % 32.65/8.99 | (1504) ~ (all_0_51_51 = e4) % 32.65/8.99 | (6452) all_0_51_51 = e1 | all_0_51_51 = e0 % 32.65/8.99 | % 32.65/8.99 +-Applying beta-rule and splitting (6452), into two cases. % 32.65/8.99 |-Branch one: % 32.65/8.99 | (1590) all_0_51_51 = e1 % 32.65/8.99 | % 32.65/8.99 | Equations (1590) can reduce 95 to: % 32.65/8.99 | (1050) ~ (all_0_60_60 = e1) % 32.65/8.99 | % 32.65/8.99 | Simplifying 1050 yields: % 32.65/8.99 | (501) ~ (all_0_60_60 = e1) % 32.65/8.99 | % 32.65/8.99 | Equations (1590) can reduce 32 to: % 32.65/8.99 | (465) ~ (e3 = e1) % 32.65/8.99 | % 32.65/8.99 | Simplifying 465 yields: % 32.65/8.99 | (136) ~ (e3 = e1) % 32.65/8.99 | % 32.65/8.99 | Equations (1590) can reduce 2347 to: % 32.65/8.99 | (134) ~ (e1 = e0) % 32.65/8.99 | % 32.65/8.99 +-Applying beta-rule and splitting (245), into two cases. % 32.65/8.99 |-Branch one: % 32.65/8.99 | (583) all_0_56_56 = e1 % 32.65/8.99 | % 32.65/8.99 | Equations (583) can reduce 149 to: % 32.65/8.99 | (502) ~ (all_0_52_52 = e1) % 32.65/8.99 | % 32.65/8.99 | Equations (583) can reduce 345 to: % 32.65/8.99 | (605) ~ (e4 = e1) % 32.65/8.99 | % 32.65/8.99 | Simplifying 605 yields: % 32.65/8.99 | (247) ~ (e4 = e1) % 32.65/8.99 | % 32.65/8.99 +-Applying beta-rule and splitting (85), into two cases. % 32.65/8.99 |-Branch one: % 32.65/8.99 | (1070) all_0_52_52 = e1 % 32.65/8.99 | % 32.65/8.99 | Equations (1070) can reduce 502 to: % 32.65/8.99 | (303) $false % 32.65/8.99 | % 32.65/8.99 |-The branch is then unsatisfiable % 32.65/8.99 |-Branch two: % 32.65/8.99 | (502) ~ (all_0_52_52 = e1) % 32.65/8.99 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 32.65/8.99 | % 32.65/8.99 +-Applying beta-rule and splitting (1073), into two cases. % 32.65/8.99 |-Branch one: % 32.65/8.99 | (462) all_0_53_53 = e1 % 32.65/8.99 | % 32.65/8.99 | Equations (462) can reduce 77 to: % 32.65/8.99 | (502) ~ (all_0_52_52 = e1) % 32.65/8.99 | % 32.65/8.99 +-Applying beta-rule and splitting (1772), into two cases. % 32.65/8.99 |-Branch one: % 32.65/8.99 | (442) all_0_52_52 = e4 % 32.65/8.99 | % 32.65/8.99 | Equations (442) can reduce 445 to: % 32.65/8.99 | (303) $false % 32.65/8.99 | % 32.65/8.99 |-The branch is then unsatisfiable % 32.65/8.99 |-Branch two: % 32.65/8.99 | (445) ~ (all_0_52_52 = e4) % 32.65/8.99 | (1795) all_0_52_52 = e3 | all_0_52_52 = e1 % 32.65/8.99 | % 32.65/8.99 +-Applying beta-rule and splitting (1795), into two cases. % 32.65/8.99 |-Branch one: % 32.65/8.99 | (1070) all_0_52_52 = e1 % 32.65/8.99 | % 32.65/8.99 | Equations (1070) can reduce 502 to: % 32.65/8.99 | (303) $false % 32.65/8.99 | % 32.65/8.99 |-The branch is then unsatisfiable % 32.65/8.99 |-Branch two: % 32.65/8.99 | (502) ~ (all_0_52_52 = e1) % 32.65/8.99 | (425) all_0_52_52 = e3 % 32.65/8.99 | % 32.65/8.99 | Equations (425) can reduce 521 to: % 32.65/8.99 | (303) $false % 32.65/8.99 | % 32.65/8.99 |-The branch is then unsatisfiable % 32.65/8.99 |-Branch two: % 32.65/8.99 | (509) ~ (all_0_53_53 = e1) % 32.65/8.99 | (530) all_0_55_55 = e1 % 32.65/8.99 | % 32.65/8.99 | Combining equations (473,530) yields a new equation: % 32.65/8.99 | (540) e4 = e1 % 32.65/8.99 | % 32.65/8.99 | Simplifying 540 yields: % 32.65/8.99 | (541) e4 = e1 % 32.65/8.99 | % 32.65/8.99 | Equations (541) can reduce 247 to: % 32.65/8.99 | (303) $false % 32.65/8.99 | % 32.65/8.99 |-The branch is then unsatisfiable % 32.65/8.99 |-Branch two: % 32.65/8.99 | (587) ~ (all_0_56_56 = e1) % 32.65/8.99 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 32.65/8.99 | % 32.65/8.99 +-Applying beta-rule and splitting (588), into two cases. % 32.65/8.99 |-Branch one: % 32.65/8.99 | (589) all_0_57_57 = e1 % 32.65/8.99 | % 32.65/8.99 | Combining equations (407,589) yields a new equation: % 32.65/8.99 | (590) e1 = e0 % 32.65/8.99 | % 32.65/8.99 | Equations (590) can reduce 134 to: % 32.65/8.99 | (303) $false % 32.65/8.99 | % 32.65/8.99 |-The branch is then unsatisfiable % 32.65/8.99 |-Branch two: % 32.65/8.99 | (592) ~ (all_0_57_57 = e1) % 32.65/8.99 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 32.65/8.99 | % 32.65/8.99 +-Applying beta-rule and splitting (593), into two cases. % 32.65/8.99 |-Branch one: % 32.65/8.99 | (600) all_0_59_59 = e1 % 32.65/8.99 | % 32.65/8.99 | Combining equations (456,600) yields a new equation: % 32.65/8.99 | (680) e3 = e1 % 32.65/8.99 | % 32.65/8.99 | Simplifying 680 yields: % 32.65/8.99 | (601) e3 = e1 % 32.65/8.99 | % 32.65/8.99 | Equations (601) can reduce 136 to: % 32.65/8.99 | (303) $false % 32.65/8.99 | % 32.65/8.99 |-The branch is then unsatisfiable % 32.65/8.99 |-Branch two: % 32.65/8.99 | (603) ~ (all_0_59_59 = e1) % 32.65/8.99 | (604) all_0_60_60 = e1 % 32.65/8.99 | % 32.65/8.99 | Equations (604) can reduce 501 to: % 32.65/8.99 | (303) $false % 32.65/8.99 | % 32.65/8.99 |-The branch is then unsatisfiable % 32.65/8.99 |-Branch two: % 32.65/8.99 | (500) ~ (all_0_51_51 = e1) % 32.65/8.99 | (388) all_0_51_51 = e0 % 32.65/8.99 | % 32.65/8.99 | Equations (388) can reduce 2347 to: % 32.65/8.99 | (303) $false % 32.65/8.99 | % 32.65/8.99 |-The branch is then unsatisfiable % 32.65/8.99 |-Branch two: % 32.65/8.99 | (611) ~ (all_0_50_50 = e4) % 32.65/8.99 | (1501) all_0_51_51 = e4 % 32.65/8.99 | % 32.65/8.99 | Equations (1501) can reduce 1504 to: % 32.65/8.99 | (303) $false % 32.65/8.99 | % 32.65/8.99 |-The branch is then unsatisfiable % 32.65/8.99 |-Branch two: % 32.65/8.99 | (292) ~ (all_0_48_48 = e0) % 32.65/8.99 | (2307) all_0_56_56 = e0 % 32.65/8.99 | % 32.65/8.99 | Equations (2307) can reduce 296 to: % 32.65/8.99 | (303) $false % 32.65/8.99 | % 32.65/8.99 |-The branch is then unsatisfiable % 32.65/8.99 |-Branch two: % 32.65/8.99 | (2167) ~ (all_0_49_49 = e2) % 32.65/8.99 | (2168) all_0_49_49 = e1 | all_0_49_49 = e0 % 32.65/8.99 | % 32.65/8.99 +-Applying beta-rule and splitting (104), into two cases. % 32.65/8.99 |-Branch one: % 32.65/8.99 | (945) all_0_41_41 = e2 % 32.65/8.99 | % 32.65/8.99 | Equations (945) can reduce 151 to: % 32.65/8.99 | (939) ~ (all_0_40_40 = e2) % 32.65/8.99 | % 32.65/8.99 | Equations (945) can reduce 177 to: % 32.65/8.99 | (2170) ~ (all_0_49_49 = e2) % 32.65/8.99 | % 32.65/8.99 | Simplifying 2170 yields: % 32.65/8.99 | (2167) ~ (all_0_49_49 = e2) % 32.65/8.99 | % 32.65/8.99 | Equations (945) can reduce 121 to: % 32.65/8.99 | (374) ~ (all_0_53_53 = e2) % 32.65/8.99 | % 32.65/8.99 | Simplifying 374 yields: % 32.65/8.99 | (274) ~ (all_0_53_53 = e2) % 32.65/8.99 | % 32.65/8.99 | Equations (945) can reduce 11 to: % 32.65/8.99 | (376) ~ (all_0_57_57 = e2) % 32.65/8.99 | % 32.65/8.99 | Simplifying 376 yields: % 32.65/8.99 | (377) ~ (all_0_57_57 = e2) % 32.65/8.99 | % 32.65/8.99 | Equations (945) can reduce 192 to: % 32.65/8.99 | (261) ~ (e4 = e2) % 32.65/8.99 | % 32.65/8.99 | Simplifying 261 yields: % 32.65/8.99 | (231) ~ (e4 = e2) % 32.65/8.99 | % 32.65/8.99 | From (945) and (211) follows: % 32.65/8.99 | (8194) op(e2, e4) = all_0_1_1 % 32.65/8.99 | % 32.65/8.99 | From (945) and (26) follows: % 32.65/8.99 | (5334) op(e2, e3) = all_0_2_2 % 32.65/8.99 | % 32.65/8.99 | From (945) and (167) follows: % 32.65/8.99 | (2648) op(e4, e3) = e2 % 32.65/8.99 | % 32.65/8.99 | Instantiating formula (29) with e2, e4, all_0_1_1, all_0_48_48 and discharging atoms op(e2, e4) = all_0_1_1, op(e2, e4) = all_0_48_48, yields: % 32.65/8.99 | (8197) all_0_1_1 = all_0_48_48 % 32.65/8.99 | % 32.65/8.99 | Instantiating formula (29) with e2, e3, all_0_2_2, all_0_49_49 and discharging atoms op(e2, e3) = all_0_2_2, op(e2, e3) = all_0_49_49, yields: % 32.65/8.99 | (8198) all_0_2_2 = all_0_49_49 % 32.65/8.99 | % 32.65/8.99 | From (8197) and (8194) follows: % 32.65/8.99 | (105) op(e2, e4) = all_0_48_48 % 32.65/8.99 | % 32.65/8.99 | From (8198) and (5334) follows: % 32.65/8.99 | (94) op(e2, e3) = all_0_49_49 % 32.65/8.99 | % 32.65/8.99 +-Applying beta-rule and splitting (97), into two cases. % 32.65/8.99 |-Branch one: % 32.65/8.99 | (727) all_0_48_48 = e2 % 32.65/8.99 | % 32.65/8.99 | Equations (727) can reduce 53 to: % 32.65/8.99 | (939) ~ (all_0_40_40 = e2) % 32.65/8.99 | % 32.65/8.99 | Equations (727) can reduce 58 to: % 32.65/8.99 | (2170) ~ (all_0_49_49 = e2) % 32.65/8.99 | % 32.65/8.99 | Simplifying 2170 yields: % 32.65/8.99 | (2167) ~ (all_0_49_49 = e2) % 32.65/8.99 | % 32.65/8.99 | Equations (727) can reduce 108 to: % 32.65/8.99 | (8205) ~ (all_0_52_52 = e2) % 32.65/8.99 | % 32.65/8.99 | Simplifying 8205 yields: % 32.65/8.99 | (273) ~ (all_0_52_52 = e2) % 32.65/8.99 | % 32.65/8.99 | Equations (727) can reduce 2 to: % 32.65/8.99 | (2174) ~ (all_0_56_56 = e2) % 32.65/8.99 | % 32.65/8.99 | Simplifying 2174 yields: % 32.65/8.99 | (594) ~ (all_0_56_56 = e2) % 32.65/8.99 | % 32.65/8.99 | From (727) and (187) follows: % 32.65/8.99 | (8209) op(e2, e4) = all_0_16_16 % 32.65/8.99 | % 32.65/8.99 | From (727) and (103) follows: % 32.65/9.00 | (8210) op(e2, e2) = all_0_15_15 % 32.65/9.00 | % 32.65/9.00 | From (727) and (105) follows: % 32.65/9.00 | (637) op(e2, e4) = e2 % 32.65/9.00 | % 32.65/9.00 +-Applying beta-rule and splitting (61), into two cases. % 32.65/9.00 |-Branch one: % 32.65/9.00 | (580) all_0_56_56 = e2 % 32.65/9.00 | % 32.65/9.00 | Equations (580) can reduce 594 to: % 32.65/9.00 | (303) $false % 32.65/9.00 | % 32.65/9.00 |-The branch is then unsatisfiable % 32.65/9.00 |-Branch two: % 32.82/9.00 | (594) ~ (all_0_56_56 = e2) % 32.82/9.00 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 32.82/9.00 | % 32.82/9.00 +-Applying beta-rule and splitting (896), into two cases. % 32.82/9.00 |-Branch one: % 32.82/9.00 | (897) all_0_57_57 = e2 % 32.82/9.00 | % 32.82/9.00 | Equations (897) can reduce 377 to: % 32.82/9.00 | (303) $false % 32.82/9.00 | % 32.82/9.00 |-The branch is then unsatisfiable % 32.82/9.00 |-Branch two: % 32.82/9.00 | (377) ~ (all_0_57_57 = e2) % 32.82/9.00 | (902) all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 32.82/9.00 | % 32.82/9.00 +-Applying beta-rule and splitting (902), into two cases. % 32.82/9.00 |-Branch one: % 32.82/9.00 | (340) all_0_58_58 = e2 % 32.82/9.00 | % 32.82/9.00 | Combining equations (344,340) yields a new equation: % 32.82/9.00 | (878) e4 = e2 % 32.82/9.00 | % 32.82/9.00 | Simplifying 878 yields: % 32.82/9.00 | (470) e4 = e2 % 32.82/9.00 | % 32.82/9.00 | Equations (470) can reduce 231 to: % 32.82/9.00 | (303) $false % 32.82/9.00 | % 32.82/9.00 |-The branch is then unsatisfiable % 32.82/9.00 |-Branch two: % 32.82/9.00 | (278) ~ (all_0_58_58 = e2) % 32.82/9.00 | (908) all_0_59_59 = e2 | all_0_60_60 = e2 % 32.82/9.00 | % 32.82/9.00 +-Applying beta-rule and splitting (908), into two cases. % 32.82/9.00 |-Branch one: % 32.82/9.00 | (909) all_0_59_59 = e2 % 32.82/9.00 | % 32.82/9.00 | Equations (909) can reduce 260 to: % 32.82/9.00 | (303) $false % 32.82/9.00 | % 32.82/9.00 |-The branch is then unsatisfiable % 32.82/9.00 |-Branch two: % 32.82/9.00 | (260) ~ (all_0_59_59 = e2) % 32.82/9.00 | (913) all_0_60_60 = e2 % 32.82/9.00 | % 32.82/9.00 | Equations (913) can reduce 165 to: % 32.82/9.00 | (915) ~ (all_0_44_44 = e2) % 32.82/9.00 | % 32.82/9.00 | Equations (913) can reduce 95 to: % 32.82/9.00 | (373) ~ (all_0_51_51 = e2) % 32.82/9.00 | % 32.82/9.00 | Equations (913) can reduce 159 to: % 32.82/9.00 | (276) ~ (all_0_55_55 = e2) % 32.82/9.00 | % 32.82/9.00 | Equations (913) can reduce 174 to: % 32.82/9.00 | (594) ~ (all_0_56_56 = e2) % 32.82/9.00 | % 32.82/9.00 | Equations (913) can reduce 164 to: % 32.82/9.00 | (260) ~ (all_0_59_59 = e2) % 32.82/9.00 | % 32.82/9.00 | Equations (913) can reduce 350 to: % 32.82/9.00 | (261) ~ (e4 = e2) % 32.82/9.00 | % 32.82/9.00 | Simplifying 261 yields: % 32.82/9.00 | (231) ~ (e4 = e2) % 32.82/9.00 | % 32.82/9.00 | Equations (913) can reduce 414 to: % 32.82/9.00 | (51) ~ (e2 = e0) % 32.82/9.00 | % 32.82/9.00 +-Applying beta-rule and splitting (56), into two cases. % 32.82/9.00 |-Branch one: % 32.82/9.00 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 32.82/9.00 | % 32.82/9.00 +-Applying beta-rule and splitting (480), into two cases. % 32.82/9.00 |-Branch one: % 32.82/9.00 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 32.82/9.00 | % 32.82/9.00 +-Applying beta-rule and splitting (481), into two cases. % 32.82/9.00 |-Branch one: % 32.82/9.00 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 32.82/9.00 | % 32.82/9.00 +-Applying beta-rule and splitting (482), into two cases. % 32.82/9.00 |-Branch one: % 32.82/9.00 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 32.82/9.00 | % 32.82/9.00 | Applying alpha-rule on (483) yields: % 32.82/9.00 | (484) ~ (unit = e4) % 32.82/9.00 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 32.82/9.00 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 32.82/9.00 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 32.82/9.00 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 32.82/9.00 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 32.82/9.00 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 32.82/9.00 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 32.82/9.00 | (492) ~ (all_0_55_55 = e4) % 32.82/9.00 | (493) all_0_45_45 = e3 % 32.82/9.00 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 32.82/9.00 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 32.82/9.00 | % 32.82/9.00 +-Applying beta-rule and splitting (141), into two cases. % 32.82/9.00 |-Branch one: % 32.82/9.00 | (580) all_0_56_56 = e2 % 32.82/9.00 | % 32.82/9.00 | Equations (580) can reduce 594 to: % 32.82/9.00 | (303) $false % 32.82/9.00 | % 32.82/9.00 |-The branch is then unsatisfiable % 32.82/9.00 |-Branch two: % 32.82/9.00 | (594) ~ (all_0_56_56 = e2) % 32.82/9.00 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 32.82/9.00 | % 32.82/9.00 +-Applying beta-rule and splitting (67), into two cases. % 32.82/9.00 |-Branch one: % 32.82/9.00 | (380) all_0_48_48 = e0 % 32.82/9.00 | % 32.82/9.00 | Combining equations (727,380) yields a new equation: % 32.82/9.00 | (403) e2 = e0 % 32.82/9.00 | % 32.82/9.00 | Simplifying 403 yields: % 32.82/9.00 | (385) e2 = e0 % 32.82/9.00 | % 32.82/9.00 | Equations (385) can reduce 51 to: % 32.82/9.00 | (303) $false % 32.82/9.00 | % 32.82/9.00 |-The branch is then unsatisfiable % 32.82/9.00 |-Branch two: % 32.82/9.00 | (292) ~ (all_0_48_48 = e0) % 32.82/9.00 | (383) all_0_49_49 = e0 | all_0_51_51 = e0 % 32.82/9.00 | % 32.82/9.00 +-Applying beta-rule and splitting (383), into two cases. % 32.82/9.00 |-Branch one: % 32.82/9.00 | (384) all_0_49_49 = e0 % 32.82/9.00 | % 32.82/9.00 | Equations (384) can reduce 226 to: % 32.82/9.00 | (2272) ~ (all_0_57_57 = e0) % 32.82/9.00 | % 32.82/9.00 | Simplifying 2272 yields: % 32.82/9.00 | (2273) ~ (all_0_57_57 = e0) % 32.82/9.00 | % 32.82/9.00 | Equations (384) can reduce 215 to: % 32.82/9.00 | (297) ~ (e4 = e0) % 32.82/9.00 | % 32.82/9.00 | Simplifying 297 yields: % 32.82/9.00 | (4) ~ (e4 = e0) % 32.82/9.00 | % 32.82/9.00 | Equations (384) can reduce 2167 to: % 32.82/9.00 | (335) ~ (e2 = e0) % 32.82/9.00 | % 32.82/9.00 | Simplifying 335 yields: % 32.82/9.00 | (51) ~ (e2 = e0) % 32.82/9.00 | % 32.82/9.00 +-Applying beta-rule and splitting (50), into two cases. % 32.82/9.00 |-Branch one: % 32.82/9.00 | (2307) all_0_56_56 = e0 % 32.82/9.00 | % 32.82/9.00 | Equations (2307) can reduce 594 to: % 32.82/9.00 | (335) ~ (e2 = e0) % 32.82/9.00 | % 32.82/9.00 | Simplifying 335 yields: % 32.82/9.00 | (51) ~ (e2 = e0) % 32.82/9.00 | % 32.82/9.00 +-Applying beta-rule and splitting (489), into two cases. % 32.82/9.00 |-Branch one: % 32.82/9.00 | (3161) ~ (all_0_58_58 = e4) % 32.82/9.00 | % 32.82/9.00 | Equations (344) can reduce 3161 to: % 32.82/9.00 | (303) $false % 32.82/9.00 | % 32.82/9.00 |-The branch is then unsatisfiable % 32.82/9.00 |-Branch two: % 32.82/9.00 | (344) all_0_58_58 = e4 % 32.82/9.00 | (580) all_0_56_56 = e2 % 32.82/9.00 | % 32.82/9.00 | Combining equations (2307,580) yields a new equation: % 32.82/9.00 | (385) e2 = e0 % 32.82/9.00 | % 32.82/9.00 | Equations (385) can reduce 51 to: % 32.82/9.00 | (303) $false % 32.82/9.00 | % 32.82/9.00 |-The branch is then unsatisfiable % 32.82/9.00 |-Branch two: % 32.82/9.00 | (296) ~ (all_0_56_56 = e0) % 32.82/9.00 | (2310) all_0_57_57 = e0 | all_0_58_58 = e0 | all_0_60_60 = e0 % 32.82/9.00 | % 32.82/9.00 +-Applying beta-rule and splitting (2310), into two cases. % 32.82/9.00 |-Branch one: % 32.82/9.00 | (407) all_0_57_57 = e0 % 32.82/9.00 | % 32.82/9.00 | Equations (407) can reduce 2273 to: % 32.82/9.00 | (303) $false % 32.82/9.00 | % 32.82/9.00 |-The branch is then unsatisfiable % 32.82/9.00 |-Branch two: % 32.82/9.00 | (2273) ~ (all_0_57_57 = e0) % 32.82/9.00 | (2314) all_0_58_58 = e0 | all_0_60_60 = e0 % 32.82/9.00 | % 32.82/9.00 +-Applying beta-rule and splitting (2314), into two cases. % 32.82/9.00 |-Branch one: % 32.82/9.00 | (989) all_0_58_58 = e0 % 32.82/9.00 | % 32.82/9.00 | Combining equations (344,989) yields a new equation: % 32.82/9.00 | (1573) e4 = e0 % 32.82/9.00 | % 32.82/9.00 | Simplifying 1573 yields: % 32.82/9.00 | (654) e4 = e0 % 32.82/9.00 | % 32.82/9.00 | Equations (654) can reduce 4 to: % 32.82/9.00 | (303) $false % 32.82/9.00 | % 32.82/9.00 |-The branch is then unsatisfiable % 32.82/9.00 |-Branch two: % 32.82/9.00 | (332) ~ (all_0_58_58 = e0) % 32.82/9.00 | (1934) all_0_60_60 = e0 % 32.82/9.00 | % 32.82/9.00 | Combining equations (913,1934) yields a new equation: % 32.82/9.00 | (403) e2 = e0 % 32.82/9.00 | % 32.82/9.00 | Simplifying 403 yields: % 32.82/9.00 | (385) e2 = e0 % 32.82/9.00 | % 32.82/9.00 | Equations (385) can reduce 51 to: % 32.82/9.00 | (303) $false % 32.82/9.00 | % 32.82/9.00 |-The branch is then unsatisfiable % 32.82/9.00 |-Branch two: % 32.82/9.00 | (387) ~ (all_0_49_49 = e0) % 32.82/9.00 | (388) all_0_51_51 = e0 % 32.82/9.00 | % 32.82/9.00 | Equations (388) can reduce 2347 to: % 32.82/9.00 | (303) $false % 32.82/9.00 | % 32.82/9.00 |-The branch is then unsatisfiable % 32.82/9.00 |-Branch two: % 32.82/9.00 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 32.82/9.00 | % 32.82/9.00 | Applying alpha-rule on (499) yields: % 32.82/9.00 | (500) ~ (all_0_51_51 = e1) % 32.82/9.00 | (501) ~ (all_0_60_60 = e1) % 32.82/9.00 | (502) ~ (all_0_52_52 = e1) % 32.82/9.00 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 32.82/9.00 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 32.82/9.00 | (252) all_0_46_46 = e2 % 32.82/9.00 | (506) ~ (all_0_49_49 = e1) % 32.82/9.00 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 32.82/9.00 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 32.82/9.00 | (509) ~ (all_0_53_53 = e1) % 32.82/9.00 | (510) ~ (unit = e1) % 32.82/9.00 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 32.82/9.00 | (512) ~ (all_0_44_44 = e1) % 32.82/9.00 | % 32.82/9.00 +-Applying beta-rule and splitting (363), into two cases. % 32.82/9.00 |-Branch one: % 32.82/9.00 | (462) all_0_53_53 = e1 % 32.82/9.00 | % 32.82/9.00 | Equations (462) can reduce 509 to: % 32.82/9.00 | (303) $false % 32.82/9.00 | % 32.82/9.00 |-The branch is then unsatisfiable % 32.82/9.00 |-Branch two: % 32.82/9.00 | (509) ~ (all_0_53_53 = e1) % 32.82/9.00 | (994) all_0_53_53 = e3 % 32.82/9.00 | % 32.82/9.00 | Equations (994) can reduce 77 to: % 32.82/9.00 | (521) ~ (all_0_52_52 = e3) % 32.82/9.00 | % 32.82/9.00 | Equations (994) can reduce 251 to: % 32.82/9.00 | (2589) ~ (all_0_57_57 = e3) % 32.82/9.00 | % 32.82/9.00 | Simplifying 2589 yields: % 32.82/9.00 | (2590) ~ (all_0_57_57 = e3) % 32.82/9.00 | % 32.82/9.00 | Equations (994) can reduce 274 to: % 32.82/9.00 | (223) ~ (e3 = e2) % 32.82/9.00 | % 32.82/9.00 | Equations (994) can reduce 509 to: % 32.82/9.00 | (136) ~ (e3 = e1) % 32.82/9.00 | % 32.82/9.00 | From (994) and (242) follows: % 32.82/9.01 | (2592) op(e3, e3) = all_0_26_26 % 32.82/9.01 | % 32.82/9.01 | From (994) and (224) follows: % 32.82/9.01 | (650) op(e1, e3) = e3 % 32.82/9.01 | % 32.82/9.01 +-Applying beta-rule and splitting (195), into two cases. % 32.82/9.01 |-Branch one: % 32.82/9.01 | (2081) all_0_44_44 = e3 % 32.82/9.01 | % 32.82/9.01 | Equations (2081) can reduce 124 to: % 32.82/9.01 | (432) ~ (all_0_40_40 = e3) % 32.82/9.01 | % 32.82/9.01 | Equations (2081) can reduce 82 to: % 32.82/9.01 | (434) ~ (all_0_43_43 = e3) % 32.82/9.01 | % 32.82/9.01 | Equations (2081) can reduce 161 to: % 32.82/9.01 | (311) ~ (all_0_51_51 = e3) % 32.82/9.01 | % 32.82/9.01 | Simplifying 311 yields: % 32.82/9.01 | (32) ~ (all_0_51_51 = e3) % 32.82/9.01 | % 32.82/9.01 | Equations (2081) can reduce 915 to: % 32.82/9.01 | (223) ~ (e3 = e2) % 32.82/9.01 | % 32.82/9.01 | Equations (2081) can reduce 512 to: % 32.82/9.01 | (136) ~ (e3 = e1) % 32.82/9.01 | % 32.82/9.01 | From (2081) and (107) follows: % 32.82/9.01 | (8330) op(e4, e0) = e3 % 32.82/9.01 | % 32.82/9.01 +-Applying beta-rule and splitting (137), into two cases. % 32.82/9.01 |-Branch one: % 32.82/9.01 | (447) all_0_43_43 = e3 % 32.82/9.01 | % 32.82/9.01 | Equations (447) can reduce 434 to: % 32.82/9.01 | (303) $false % 32.82/9.01 | % 32.82/9.01 |-The branch is then unsatisfiable % 32.82/9.01 |-Branch two: % 32.82/9.01 | (434) ~ (all_0_43_43 = e3) % 32.82/9.01 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 32.82/9.01 | % 32.82/9.01 +-Applying beta-rule and splitting (85), into two cases. % 32.82/9.01 |-Branch one: % 32.82/9.01 | (1070) all_0_52_52 = e1 % 32.82/9.01 | % 32.82/9.01 | Equations (1070) can reduce 502 to: % 32.82/9.01 | (303) $false % 32.82/9.01 | % 32.82/9.01 |-The branch is then unsatisfiable % 32.82/9.01 |-Branch two: % 32.82/9.01 | (502) ~ (all_0_52_52 = e1) % 32.82/9.01 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 32.82/9.01 | % 32.82/9.01 +-Applying beta-rule and splitting (450), into two cases. % 32.82/9.01 |-Branch one: % 32.82/9.01 | (451) all_0_46_46 = e3 % 32.82/9.01 | % 32.82/9.01 | Combining equations (252,451) yields a new equation: % 32.82/9.01 | (453) e3 = e2 % 32.82/9.01 | % 32.82/9.01 | Equations (453) can reduce 223 to: % 32.82/9.01 | (303) $false % 32.82/9.01 | % 32.82/9.01 |-The branch is then unsatisfiable % 32.82/9.01 |-Branch two: % 32.82/9.01 | (455) ~ (all_0_46_46 = e3) % 32.82/9.01 | (456) all_0_59_59 = e3 % 32.82/9.01 | % 32.82/9.01 | Equations (456) can reduce 216 to: % 32.82/9.01 | (70) ~ (e3 = e0) % 32.82/9.01 | % 32.82/9.01 | From (456) and (90) follows: % 32.82/9.01 | (461) op(e0, e1) = e3 % 32.82/9.01 | % 32.82/9.01 +-Applying beta-rule and splitting (1073), into two cases. % 32.82/9.01 |-Branch one: % 32.82/9.01 | (462) all_0_53_53 = e1 % 32.82/9.01 | % 32.82/9.01 | Combining equations (994,462) yields a new equation: % 32.82/9.01 | (680) e3 = e1 % 32.82/9.01 | % 32.82/9.01 | Simplifying 680 yields: % 32.82/9.01 | (601) e3 = e1 % 32.82/9.01 | % 32.82/9.01 | Equations (601) can reduce 136 to: % 32.82/9.01 | (303) $false % 32.82/9.01 | % 32.82/9.01 |-The branch is then unsatisfiable % 32.82/9.01 |-Branch two: % 32.82/9.01 | (509) ~ (all_0_53_53 = e1) % 32.82/9.01 | (530) all_0_55_55 = e1 % 32.82/9.01 | % 32.82/9.01 | Equations (530) can reduce 13 to: % 32.82/9.01 | (500) ~ (all_0_51_51 = e1) % 32.82/9.01 | % 32.82/9.01 +-Applying beta-rule and splitting (24), into two cases. % 32.82/9.01 |-Branch one: % 32.82/9.01 | (980) all_0_52_52 = e2 % 32.82/9.01 | % 32.82/9.01 | Equations (980) can reduce 273 to: % 32.82/9.01 | (303) $false % 32.82/9.01 | % 32.82/9.01 |-The branch is then unsatisfiable % 32.82/9.01 |-Branch two: % 32.82/9.01 | (273) ~ (all_0_52_52 = e2) % 32.82/9.01 | (1772) all_0_52_52 = e4 | all_0_52_52 = e3 | all_0_52_52 = e1 % 32.82/9.01 | % 32.82/9.01 +-Applying beta-rule and splitting (1772), into two cases. % 32.82/9.01 |-Branch one: % 32.82/9.01 | (442) all_0_52_52 = e4 % 32.82/9.01 | % 32.82/9.01 | Equations (442) can reduce 188 to: % 32.82/9.01 | (844) ~ (all_0_40_40 = e4) % 32.82/9.01 | % 32.82/9.01 +-Applying beta-rule and splitting (67), into two cases. % 32.82/9.01 |-Branch one: % 32.82/9.01 | (380) all_0_48_48 = e0 % 32.82/9.01 | % 32.82/9.01 | Combining equations (727,380) yields a new equation: % 32.82/9.01 | (403) e2 = e0 % 32.82/9.01 | % 32.82/9.01 | Simplifying 403 yields: % 32.82/9.01 | (385) e2 = e0 % 32.82/9.01 | % 32.82/9.01 | Equations (385) can reduce 51 to: % 32.82/9.01 | (303) $false % 32.82/9.01 | % 32.82/9.01 |-The branch is then unsatisfiable % 32.82/9.01 |-Branch two: % 32.82/9.01 | (292) ~ (all_0_48_48 = e0) % 32.82/9.01 | (383) all_0_49_49 = e0 | all_0_51_51 = e0 % 32.82/9.01 | % 32.82/9.01 | Equations (727) can reduce 292 to: % 32.82/9.01 | (51) ~ (e2 = e0) % 32.82/9.01 | % 32.82/9.01 +-Applying beta-rule and splitting (41), into two cases. % 32.82/9.01 |-Branch one: % 32.82/9.01 | (2834) all_0_40_40 = e0 % 32.82/9.01 | % 32.82/9.01 | Equations (2834) can reduce 288 to: % 32.82/9.01 | (303) $false % 32.82/9.01 | % 32.82/9.01 |-The branch is then unsatisfiable % 32.82/9.01 |-Branch two: % 32.82/9.01 | (288) ~ (all_0_40_40 = e0) % 32.82/9.01 | (6377) all_0_45_45 = e0 | all_0_48_48 = e0 | all_0_56_56 = e0 % 32.82/9.01 | % 32.82/9.01 +-Applying beta-rule and splitting (6377), into two cases. % 32.82/9.01 |-Branch one: % 32.82/9.01 | (287) all_0_45_45 = e0 % 32.82/9.01 | % 32.82/9.01 | Combining equations (493,287) yields a new equation: % 32.82/9.01 | (496) e3 = e0 % 32.82/9.01 | % 32.82/9.01 | Simplifying 496 yields: % 32.82/9.01 | (497) e3 = e0 % 32.82/9.01 | % 32.82/9.01 | Equations (497) can reduce 70 to: % 32.82/9.01 | (303) $false % 32.82/9.01 | % 32.82/9.01 |-The branch is then unsatisfiable % 32.82/9.01 |-Branch two: % 32.82/9.01 | (534) ~ (all_0_45_45 = e0) % 32.82/9.01 | (6383) all_0_48_48 = e0 | all_0_56_56 = e0 % 32.82/9.01 | % 32.82/9.01 +-Applying beta-rule and splitting (6383), into two cases. % 32.82/9.01 |-Branch one: % 32.82/9.01 | (380) all_0_48_48 = e0 % 32.82/9.01 | % 32.82/9.01 | Combining equations (727,380) yields a new equation: % 32.82/9.01 | (403) e2 = e0 % 32.82/9.01 | % 32.82/9.01 | Simplifying 403 yields: % 32.82/9.01 | (385) e2 = e0 % 32.82/9.01 | % 32.82/9.01 | Equations (385) can reduce 51 to: % 32.82/9.01 | (303) $false % 32.82/9.01 | % 32.82/9.01 |-The branch is then unsatisfiable % 32.82/9.01 |-Branch two: % 32.82/9.01 | (292) ~ (all_0_48_48 = e0) % 32.82/9.01 | (2307) all_0_56_56 = e0 % 32.82/9.01 | % 32.82/9.01 | Equations (2307) can reduce 57 to: % 32.82/9.01 | (288) ~ (all_0_40_40 = e0) % 32.82/9.01 | % 32.82/9.01 | Equations (2307) can reduce 172 to: % 32.82/9.01 | (2272) ~ (all_0_57_57 = e0) % 32.82/9.01 | % 32.82/9.01 | Simplifying 2272 yields: % 32.82/9.01 | (2273) ~ (all_0_57_57 = e0) % 32.82/9.01 | % 32.82/9.01 | Equations (2307) can reduce 594 to: % 32.82/9.01 | (335) ~ (e2 = e0) % 32.82/9.01 | % 32.82/9.01 | Simplifying 335 yields: % 32.82/9.01 | (51) ~ (e2 = e0) % 32.82/9.01 | % 32.82/9.01 | From (2307) and (185) follows: % 32.82/9.01 | (8387) op(e0, e4) = all_0_32_32 % 32.82/9.01 | % 32.82/9.01 | From (2307) and (132) follows: % 32.82/9.01 | (638) op(e0, e4) = e0 % 32.82/9.01 | % 32.82/9.01 +-Applying beta-rule and splitting (150), into two cases. % 32.82/9.01 |-Branch one: % 32.82/9.01 | (398) all_0_41_41 = e0 % 32.82/9.01 | % 32.82/9.01 | Combining equations (945,398) yields a new equation: % 32.82/9.01 | (403) e2 = e0 % 32.82/9.01 | % 32.82/9.01 | Simplifying 403 yields: % 32.82/9.01 | (385) e2 = e0 % 32.82/9.01 | % 32.82/9.01 | Equations (385) can reduce 51 to: % 32.82/9.01 | (303) $false % 32.82/9.01 | % 32.82/9.01 |-The branch is then unsatisfiable % 32.82/9.01 |-Branch two: % 32.82/9.01 | (326) ~ (all_0_41_41 = e0) % 32.82/9.01 | (401) all_0_49_49 = e0 | all_0_57_57 = e0 % 32.82/9.01 | % 32.82/9.01 +-Applying beta-rule and splitting (401), into two cases. % 32.82/9.01 |-Branch one: % 32.82/9.01 | (384) all_0_49_49 = e0 % 32.82/9.01 | % 32.82/9.01 | Equations (384) can reduce 37 to: % 32.82/9.01 | (6386) ~ (all_0_50_50 = e0) % 32.82/9.01 | % 32.82/9.01 | Simplifying 6386 yields: % 32.82/9.01 | (207) ~ (all_0_50_50 = e0) % 32.82/9.01 | % 32.82/9.01 | Equations (384) can reduce 160 to: % 32.82/9.01 | (5945) ~ (all_0_51_51 = e0) % 32.82/9.01 | % 32.82/9.01 | Simplifying 5945 yields: % 32.82/9.01 | (2347) ~ (all_0_51_51 = e0) % 32.82/9.01 | % 32.82/9.01 | Equations (384) can reduce 2167 to: % 32.82/9.01 | (335) ~ (e2 = e0) % 32.82/9.01 | % 32.82/9.01 | Simplifying 335 yields: % 32.82/9.01 | (51) ~ (e2 = e0) % 32.82/9.01 | % 32.82/9.01 | From (384) and (113) follows: % 32.82/9.01 | (2549) op(e0, e2) = all_0_17_17 % 32.82/9.01 | % 32.82/9.01 | From (384) and (94) follows: % 32.82/9.01 | (2550) op(e2, e3) = e0 % 32.82/9.01 | % 32.82/9.01 +-Applying beta-rule and splitting (166), into two cases. % 32.82/9.01 |-Branch one: % 32.82/9.01 | (927) all_0_51_51 = e2 % 32.82/9.01 | % 32.82/9.01 | Equations (927) can reduce 373 to: % 32.82/9.01 | (303) $false % 32.82/9.01 | % 32.82/9.01 |-The branch is then unsatisfiable % 32.82/9.01 |-Branch two: % 32.82/9.01 | (373) ~ (all_0_51_51 = e2) % 32.82/9.01 | (6448) all_0_51_51 = e4 | all_0_51_51 = e1 | all_0_51_51 = e0 % 32.82/9.01 | % 32.82/9.01 +-Applying beta-rule and splitting (233), into two cases. % 32.82/9.01 |-Branch one: % 32.82/9.01 | (917) all_0_40_40 = e2 % 32.82/9.01 | % 32.82/9.01 | Equations (917) can reduce 939 to: % 32.82/9.01 | (303) $false % 32.82/9.01 | % 32.82/9.01 |-The branch is then unsatisfiable % 32.82/9.01 |-Branch two: % 32.82/9.01 | (939) ~ (all_0_40_40 = e2) % 32.82/9.01 | (2671) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 32.82/9.01 | % 32.82/9.01 +-Applying beta-rule and splitting (2671), into two cases. % 32.82/9.01 |-Branch one: % 32.82/9.01 | (723) all_0_40_40 = e4 % 32.82/9.01 | % 32.82/9.01 | Equations (723) can reduce 844 to: % 32.82/9.01 | (303) $false % 32.82/9.01 | % 32.82/9.01 |-The branch is then unsatisfiable % 32.82/9.01 |-Branch two: % 32.82/9.01 | (844) ~ (all_0_40_40 = e4) % 32.82/9.01 | (2800) all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 32.82/9.01 | % 32.82/9.01 +-Applying beta-rule and splitting (2800), into two cases. % 32.82/9.01 |-Branch one: % 32.82/9.01 | (624) all_0_40_40 = e1 % 32.82/9.01 | % 32.82/9.01 | Equations (624) can reduce 432 to: % 32.82/9.01 | (465) ~ (e3 = e1) % 32.82/9.01 | % 32.82/9.01 | Simplifying 465 yields: % 32.82/9.01 | (136) ~ (e3 = e1) % 32.82/9.01 | % 32.82/9.01 | Equations (624) can reduce 939 to: % 32.82/9.01 | (565) ~ (e2 = e1) % 32.82/9.01 | % 32.82/9.01 | Simplifying 565 yields: % 32.82/9.01 | (144) ~ (e2 = e1) % 32.82/9.01 | % 32.82/9.01 | Equations (624) can reduce 288 to: % 32.82/9.01 | (134) ~ (e1 = e0) % 32.82/9.01 | % 32.82/9.01 +-Applying beta-rule and splitting (6448), into two cases. % 32.82/9.01 |-Branch one: % 32.82/9.01 | (1501) all_0_51_51 = e4 % 32.82/9.01 | % 32.82/9.01 | Equations (1501) can reduce 171 to: % 32.82/9.01 | (611) ~ (all_0_50_50 = e4) % 32.82/9.01 | % 32.82/9.01 | Equations (1501) can reduce 32 to: % 32.82/9.01 | (30) ~ (e4 = e3) % 32.82/9.01 | % 32.82/9.01 | From (1501) and (18) follows: % 32.82/9.01 | (8425) op(e4, e0) = all_0_22_22 % 32.82/9.01 | % 32.82/9.01 +-Applying beta-rule and splitting (139), into two cases. % 32.82/9.01 |-Branch one: % 32.82/9.01 | (614) all_0_43_43 = e4 % 32.82/9.01 | % 32.82/9.01 | Equations (614) can reduce 238 to: % 32.82/9.01 | (610) ~ (all_0_50_50 = e4) % 32.82/9.01 | % 32.82/9.01 | Simplifying 610 yields: % 32.82/9.01 | (611) ~ (all_0_50_50 = e4) % 32.82/9.01 | % 32.82/9.01 +-Applying beta-rule and splitting (221), into two cases. % 32.82/9.01 |-Branch one: % 32.82/9.01 | (696) all_0_41_41 = e1 % 32.82/9.01 | % 32.82/9.01 | Combining equations (696,945) yields a new equation: % 32.82/9.01 | (585) e2 = e1 % 32.82/9.01 | % 32.82/9.01 | Equations (585) can reduce 144 to: % 32.82/9.01 | (303) $false % 32.82/9.01 | % 32.82/9.01 |-The branch is then unsatisfiable % 32.82/9.01 |-Branch two: % 32.82/9.01 | (699) ~ (all_0_41_41 = e1) % 32.82/9.02 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 32.82/9.02 | % 32.82/9.02 +-Applying beta-rule and splitting (2154), into two cases. % 32.82/9.02 |-Branch one: % 32.82/9.02 | (1580) all_0_49_49 = e1 % 32.82/9.02 | % 32.82/9.02 | Combining equations (384,1580) yields a new equation: % 32.82/9.02 | (590) e1 = e0 % 32.82/9.02 | % 32.82/9.02 | Equations (590) can reduce 134 to: % 32.82/9.02 | (303) $false % 32.82/9.02 | % 32.82/9.02 |-The branch is then unsatisfiable % 32.82/9.02 |-Branch two: % 32.82/9.02 | (506) ~ (all_0_49_49 = e1) % 32.82/9.02 | (2676) all_0_53_53 = e1 | all_0_57_57 = e1 % 32.82/9.02 | % 32.82/9.02 +-Applying beta-rule and splitting (2676), into two cases. % 32.82/9.02 |-Branch one: % 32.82/9.02 | (462) all_0_53_53 = e1 % 32.82/9.02 | % 32.82/9.02 | Combining equations (994,462) yields a new equation: % 32.82/9.02 | (680) e3 = e1 % 32.82/9.02 | % 32.82/9.02 | Simplifying 680 yields: % 32.82/9.02 | (601) e3 = e1 % 32.82/9.02 | % 32.82/9.02 | Equations (601) can reduce 136 to: % 32.82/9.02 | (303) $false % 32.82/9.02 | % 32.82/9.02 |-The branch is then unsatisfiable % 32.82/9.02 |-Branch two: % 32.82/9.02 | (509) ~ (all_0_53_53 = e1) % 32.82/9.02 | (589) all_0_57_57 = e1 % 32.82/9.02 | % 32.82/9.02 | From (589) and (35) follows: % 32.82/9.02 | (3953) op(e1, e3) = all_0_34_34 % 32.82/9.02 | % 32.82/9.02 +-Applying beta-rule and splitting (367), into two cases. % 32.82/9.02 |-Branch one: % 32.82/9.02 | (714) all_0_50_50 = e4 % 32.82/9.02 | % 32.82/9.02 | Equations (714) can reduce 611 to: % 32.82/9.02 | (303) $false % 32.82/9.02 | % 32.82/9.02 |-The branch is then unsatisfiable % 32.82/9.02 |-Branch two: % 32.82/9.02 | (611) ~ (all_0_50_50 = e4) % 32.82/9.02 | (627) all_0_50_50 = e1 % 32.82/9.02 | % 32.82/9.02 | Equations (627) can reduce 207 to: % 32.82/9.02 | (134) ~ (e1 = e0) % 32.82/9.02 | % 32.82/9.02 | Instantiating formula (29) with e4, e0, e3, all_0_22_22 and discharging atoms op(e4, e0) = all_0_22_22, op(e4, e0) = e3, yields: % 32.82/9.02 | (8451) all_0_22_22 = e3 % 32.82/9.02 | % 32.82/9.02 | Instantiating formula (29) with e3, e3, all_0_26_26, e4 and discharging atoms op(e3, e3) = all_0_26_26, op(e3, e3) = e4, yields: % 32.82/9.02 | (2620) all_0_26_26 = e4 % 32.82/9.02 | % 32.82/9.02 | Instantiating formula (29) with e2, e4, e2, all_0_16_16 and discharging atoms op(e2, e4) = all_0_16_16, op(e2, e4) = e2, yields: % 32.82/9.02 | (3558) all_0_16_16 = e2 % 32.82/9.02 | % 32.82/9.02 | Instantiating formula (29) with e2, e2, all_0_15_15, e3 and discharging atoms op(e2, e2) = all_0_15_15, op(e2, e2) = e3, yields: % 32.82/9.02 | (8454) all_0_15_15 = e3 % 32.82/9.02 | % 32.82/9.02 | Instantiating formula (29) with e1, e3, e3, all_0_34_34 and discharging atoms op(e1, e3) = all_0_34_34, op(e1, e3) = e3, yields: % 32.82/9.02 | (3957) all_0_34_34 = e3 % 32.82/9.02 | % 32.82/9.02 | Instantiating formula (29) with e0, e4, e0, all_0_32_32 and discharging atoms op(e0, e4) = all_0_32_32, op(e0, e4) = e0, yields: % 32.82/9.02 | (3653) all_0_32_32 = e0 % 32.82/9.02 | % 32.82/9.02 | Instantiating formula (29) with e0, e2, all_0_17_17, e4 and discharging atoms op(e0, e2) = all_0_17_17, op(e0, e2) = e4, yields: % 32.82/9.02 | (2626) all_0_17_17 = e4 % 32.82/9.02 | % 32.82/9.02 | From (8451) and (8425) follows: % 32.82/9.02 | (8330) op(e4, e0) = e3 % 32.82/9.02 | % 32.82/9.02 | From (2620) and (2592) follows: % 32.82/9.02 | (22) op(e3, e3) = e4 % 32.82/9.02 | % 32.82/9.02 | From (3558) and (8209) follows: % 32.82/9.02 | (637) op(e2, e4) = e2 % 32.82/9.02 | % 32.82/9.02 | From (8454) and (8210) follows: % 32.82/9.02 | (83) op(e2, e2) = e3 % 32.82/9.02 | % 32.82/9.02 | From (3957) and (3953) follows: % 32.82/9.02 | (650) op(e1, e3) = e3 % 32.82/9.02 | % 32.82/9.02 | From (3653) and (8387) follows: % 32.82/9.02 | (638) op(e0, e4) = e0 % 32.82/9.02 | % 32.82/9.02 | From (2626) and (2549) follows: % 32.82/9.02 | (353) op(e0, e2) = e4 % 32.82/9.02 | % 32.82/9.02 +-Applying beta-rule and splitting (62), into two cases. % 32.82/9.02 |-Branch one: % 32.82/9.02 | (631) unit = e2 % 32.82/9.02 | % 32.82/9.02 | From (631) and (17) follows: % 32.82/9.02 | (613) op(e2, e4) = e4 % 32.82/9.02 | % 32.82/9.02 | From (631) and (98) follows: % 32.82/9.02 | (5015) op(e3, e2) = e3 % 32.82/9.02 | % 32.82/9.02 | From (631) and (74) follows: % 32.82/9.02 | (2715) op(e2, e2) = e2 % 32.82/9.02 | % 32.82/9.02 | From (631) and (111) follows: % 32.82/9.02 | (1167) op(e0, e2) = e0 % 32.82/9.02 | % 32.82/9.02 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 32.82/9.02 | (601) e3 = e1 % 32.82/9.02 | % 32.82/9.02 | Instantiating formula (29) with e2, e4, e4, e2 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 32.82/9.02 | (470) e4 = e2 % 32.82/9.02 | % 32.82/9.02 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 32.82/9.02 | (453) e3 = e2 % 32.82/9.02 | % 32.82/9.02 | Instantiating formula (29) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields: % 32.82/9.02 | (654) e4 = e0 % 32.82/9.02 | % 32.82/9.02 | Combining equations (470,654) yields a new equation: % 32.82/9.02 | (403) e2 = e0 % 32.82/9.02 | % 32.82/9.02 | Simplifying 403 yields: % 32.82/9.02 | (385) e2 = e0 % 32.82/9.02 | % 32.82/9.02 | Combining equations (453,601) yields a new equation: % 32.82/9.02 | (584) e2 = e1 % 32.82/9.02 | % 32.82/9.02 | Simplifying 584 yields: % 32.82/9.02 | (585) e2 = e1 % 32.82/9.02 | % 32.82/9.02 | Combining equations (385,585) yields a new equation: % 32.82/9.02 | (590) e1 = e0 % 32.82/9.02 | % 32.82/9.02 | Equations (590) can reduce 134 to: % 32.82/9.02 | (303) $false % 32.82/9.02 | % 32.82/9.02 |-The branch is then unsatisfiable % 32.82/9.02 |-Branch two: % 32.82/9.02 | (599) ~ (unit = e2) % 32.82/9.02 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 32.82/9.02 | % 32.82/9.02 +-Applying beta-rule and splitting (634), into two cases. % 32.82/9.02 |-Branch one: % 32.82/9.02 | (635) unit = e4 % 32.82/9.02 | % 32.82/9.02 | From (635) and (232) follows: % 32.82/9.02 | (1844) op(e4, e3) = e3 % 32.82/9.02 | % 32.82/9.02 | From (635) and (189) follows: % 32.82/9.02 | (8484) op(e4, e0) = e0 % 32.82/9.02 | % 32.82/9.02 | Instantiating formula (29) with e4, e3, e3, e2 and discharging atoms op(e4, e3) = e3, op(e4, e3) = e2, yields: % 32.82/9.02 | (453) e3 = e2 % 32.82/9.02 | % 32.82/9.02 | Instantiating formula (29) with e4, e0, e0, e3 and discharging atoms op(e4, e0) = e3, op(e4, e0) = e0, yields: % 32.82/9.02 | (497) e3 = e0 % 32.82/9.02 | % 32.82/9.02 | Combining equations (453,497) yields a new equation: % 32.82/9.02 | (403) e2 = e0 % 32.82/9.02 | % 32.82/9.02 | Simplifying 403 yields: % 32.82/9.02 | (385) e2 = e0 % 32.82/9.02 | % 32.82/9.02 | Equations (385) can reduce 51 to: % 32.82/9.02 | (303) $false % 32.82/9.02 | % 32.82/9.02 |-The branch is then unsatisfiable % 32.82/9.02 |-Branch two: % 32.82/9.02 | (484) ~ (unit = e4) % 32.82/9.02 | (647) unit = e3 | unit = e1 | unit = e0 % 32.82/9.02 | % 32.82/9.02 +-Applying beta-rule and splitting (647), into two cases. % 32.82/9.02 |-Branch one: % 32.82/9.02 | (648) unit = e1 % 32.82/9.02 | % 32.82/9.02 | Equations (648) can reduce 510 to: % 32.82/9.02 | (303) $false % 32.82/9.02 | % 32.82/9.02 |-The branch is then unsatisfiable % 32.82/9.02 |-Branch two: % 32.82/9.02 | (510) ~ (unit = e1) % 32.82/9.02 | (659) unit = e3 | unit = e0 % 32.82/9.02 | % 32.82/9.02 +-Applying beta-rule and splitting (659), into two cases. % 32.82/9.02 |-Branch one: % 32.82/9.02 | (660) unit = e0 % 32.82/9.02 | % 32.82/9.02 | Equations (660) can reduce 510 to: % 32.82/9.02 | (661) ~ (e1 = e0) % 32.82/9.02 | % 32.82/9.02 | Simplifying 661 yields: % 32.82/9.02 | (134) ~ (e1 = e0) % 32.82/9.02 | % 32.82/9.02 | From (660) and (17) follows: % 32.82/9.02 | (1195) op(e0, e4) = e4 % 32.82/9.02 | % 32.82/9.02 | From (660) and (38) follows: % 32.82/9.02 | (2749) op(e0, e1) = e1 % 32.82/9.02 | % 32.82/9.02 | From (660) and (130) follows: % 32.82/9.02 | (8501) op(e4, e0) = e4 % 32.82/9.02 | % 32.82/9.02 | Instantiating formula (29) with e4, e0, e4, e3 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e3, yields: % 32.82/9.02 | (443) e4 = e3 % 32.82/9.02 | % 32.82/9.02 | Instantiating formula (29) with e0, e4, e4, e0 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e0, yields: % 32.82/9.02 | (654) e4 = e0 % 32.82/9.02 | % 32.82/9.02 | Instantiating formula (29) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields: % 32.82/9.02 | (601) e3 = e1 % 32.82/9.02 | % 32.82/9.02 | Combining equations (443,654) yields a new equation: % 32.82/9.02 | (496) e3 = e0 % 32.82/9.02 | % 32.82/9.02 | Simplifying 496 yields: % 32.82/9.02 | (497) e3 = e0 % 32.82/9.02 | % 32.82/9.02 | Combining equations (497,601) yields a new equation: % 32.82/9.02 | (590) e1 = e0 % 32.82/9.02 | % 32.82/9.02 | Equations (590) can reduce 134 to: % 32.82/9.02 | (303) $false % 32.82/9.02 | % 32.82/9.02 |-The branch is then unsatisfiable % 32.82/9.02 |-Branch two: % 32.82/9.02 | (537) ~ (unit = e0) % 32.82/9.02 | (674) unit = e3 % 32.82/9.02 | % 32.82/9.02 | From (674) and (130) follows: % 32.82/9.02 | (2756) op(e4, e3) = e4 % 32.82/9.02 | % 32.82/9.02 | From (674) and (98) follows: % 32.82/9.02 | (1208) op(e3, e3) = e3 % 32.82/9.02 | % 32.82/9.02 | From (674) and (74) follows: % 32.82/9.02 | (8513) op(e2, e3) = e2 % 32.82/9.02 | % 32.82/9.02 | From (674) and (190) follows: % 32.82/9.02 | (468) op(e1, e3) = e1 % 32.82/9.02 | % 32.82/9.02 | Instantiating formula (29) with e4, e3, e4, e2 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e2, yields: % 32.82/9.02 | (470) e4 = e2 % 32.82/9.02 | % 32.82/9.02 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 32.82/9.02 | (443) e4 = e3 % 32.82/9.02 | % 32.82/9.02 | Instantiating formula (29) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields: % 32.82/9.02 | (385) e2 = e0 % 32.82/9.02 | % 32.82/9.02 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 32.82/9.03 | (601) e3 = e1 % 32.82/9.03 | % 32.82/9.03 | Combining equations (470,443) yields a new equation: % 32.82/9.03 | (453) e3 = e2 % 32.82/9.03 | % 32.82/9.03 | Combining equations (453,601) yields a new equation: % 32.82/9.03 | (584) e2 = e1 % 32.82/9.03 | % 32.82/9.03 | Simplifying 584 yields: % 32.82/9.03 | (585) e2 = e1 % 32.82/9.03 | % 32.82/9.03 | Combining equations (385,585) yields a new equation: % 32.82/9.03 | (590) e1 = e0 % 32.82/9.03 | % 32.82/9.03 | Equations (590) can reduce 134 to: % 32.82/9.03 | (303) $false % 32.82/9.03 | % 32.82/9.03 |-The branch is then unsatisfiable % 32.82/9.03 |-Branch two: % 32.82/9.03 | (712) ~ (all_0_43_43 = e4) % 32.82/9.03 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 32.82/9.03 | % 32.82/9.03 +-Applying beta-rule and splitting (713), into two cases. % 32.82/9.03 |-Branch one: % 32.82/9.03 | (714) all_0_50_50 = e4 % 32.82/9.03 | % 32.82/9.03 | Equations (714) can reduce 611 to: % 32.82/9.03 | (303) $false % 32.82/9.03 | % 32.82/9.03 |-The branch is then unsatisfiable % 32.82/9.03 |-Branch two: % 32.82/9.03 | (611) ~ (all_0_50_50 = e4) % 32.82/9.03 | (717) all_0_59_59 = e4 % 32.82/9.03 | % 32.82/9.03 | Combining equations (456,717) yields a new equation: % 32.82/9.03 | (443) e4 = e3 % 32.82/9.03 | % 32.82/9.03 | Equations (443) can reduce 30 to: % 32.82/9.03 | (303) $false % 32.82/9.03 | % 32.82/9.03 |-The branch is then unsatisfiable % 32.82/9.03 |-Branch two: % 32.82/9.03 | (1504) ~ (all_0_51_51 = e4) % 32.82/9.03 | (6452) all_0_51_51 = e1 | all_0_51_51 = e0 % 32.82/9.03 | % 32.82/9.03 +-Applying beta-rule and splitting (6452), into two cases. % 32.82/9.03 |-Branch one: % 32.82/9.03 | (1590) all_0_51_51 = e1 % 32.82/9.03 | % 32.82/9.03 | Equations (1590) can reduce 500 to: % 32.82/9.03 | (303) $false % 32.82/9.03 | % 32.82/9.03 |-The branch is then unsatisfiable % 32.82/9.03 |-Branch two: % 32.82/9.03 | (500) ~ (all_0_51_51 = e1) % 32.82/9.03 | (388) all_0_51_51 = e0 % 32.82/9.03 | % 32.82/9.03 | Equations (388) can reduce 2347 to: % 32.82/9.03 | (303) $false % 32.82/9.03 | % 32.82/9.03 |-The branch is then unsatisfiable % 32.82/9.03 |-Branch two: % 32.82/9.03 | (683) ~ (all_0_40_40 = e1) % 32.82/9.03 | (2833) all_0_40_40 = e3 | all_0_40_40 = e0 % 32.82/9.03 | % 32.82/9.03 +-Applying beta-rule and splitting (2833), into two cases. % 32.82/9.03 |-Branch one: % 32.82/9.03 | (2834) all_0_40_40 = e0 % 32.82/9.03 | % 32.82/9.03 | Equations (2834) can reduce 288 to: % 32.82/9.03 | (303) $false % 32.82/9.03 | % 32.82/9.03 |-The branch is then unsatisfiable % 32.82/9.03 |-Branch two: % 32.82/9.03 | (288) ~ (all_0_40_40 = e0) % 32.82/9.03 | (1102) all_0_40_40 = e3 % 32.82/9.03 | % 32.82/9.03 | Equations (1102) can reduce 432 to: % 32.82/9.03 | (303) $false % 32.82/9.03 | % 32.82/9.03 |-The branch is then unsatisfiable % 32.82/9.03 |-Branch two: % 32.82/9.03 | (387) ~ (all_0_49_49 = e0) % 32.82/9.03 | (407) all_0_57_57 = e0 % 32.82/9.03 | % 32.82/9.03 | Equations (407) can reduce 2273 to: % 32.82/9.03 | (303) $false % 32.82/9.03 | % 32.82/9.03 |-The branch is then unsatisfiable % 32.82/9.03 |-Branch two: % 32.82/9.03 | (445) ~ (all_0_52_52 = e4) % 32.82/9.03 | (1795) all_0_52_52 = e3 | all_0_52_52 = e1 % 32.82/9.03 | % 32.82/9.03 +-Applying beta-rule and splitting (6), into two cases. % 32.82/9.03 |-Branch one: % 32.82/9.03 | (442) all_0_52_52 = e4 % 32.82/9.03 | % 32.82/9.03 | Equations (442) can reduce 445 to: % 32.82/9.03 | (303) $false % 32.82/9.03 | % 32.82/9.03 |-The branch is then unsatisfiable % 32.82/9.03 |-Branch two: % 32.82/9.03 | (445) ~ (all_0_52_52 = e4) % 32.82/9.03 | (446) all_0_54_54 = e4 | all_0_55_55 = e4 % 32.82/9.03 | % 32.82/9.03 +-Applying beta-rule and splitting (446), into two cases. % 32.82/9.03 |-Branch one: % 32.82/9.03 | (469) all_0_54_54 = e4 % 32.82/9.03 | % 32.82/9.03 | Combining equations (271,469) yields a new equation: % 32.82/9.03 | (470) e4 = e2 % 32.82/9.03 | % 32.82/9.03 | Equations (470) can reduce 231 to: % 32.82/9.03 | (303) $false % 32.82/9.03 | % 32.82/9.03 |-The branch is then unsatisfiable % 32.82/9.03 |-Branch two: % 32.82/9.03 | (472) ~ (all_0_54_54 = e4) % 32.82/9.03 | (473) all_0_55_55 = e4 % 32.82/9.03 | % 32.82/9.03 | Combining equations (473,530) yields a new equation: % 32.82/9.03 | (540) e4 = e1 % 32.82/9.03 | % 32.82/9.03 | Simplifying 540 yields: % 32.82/9.03 | (541) e4 = e1 % 32.82/9.03 | % 32.82/9.03 | Equations (541) can reduce 247 to: % 32.82/9.03 | (303) $false % 32.82/9.03 | % 32.82/9.03 |-The branch is then unsatisfiable % 32.82/9.03 |-Branch two: % 32.82/9.03 | (310) ~ (all_0_44_44 = e3) % 32.82/9.03 | (7006) all_0_47_47 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 32.82/9.03 | % 32.82/9.03 +-Applying beta-rule and splitting (85), into two cases. % 32.82/9.03 |-Branch one: % 32.82/9.03 | (1070) all_0_52_52 = e1 % 32.82/9.03 | % 32.82/9.03 | Equations (1070) can reduce 502 to: % 32.82/9.03 | (303) $false % 32.82/9.03 | % 32.82/9.03 |-The branch is then unsatisfiable % 32.82/9.03 |-Branch two: % 32.82/9.03 | (502) ~ (all_0_52_52 = e1) % 32.82/9.03 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 32.82/9.03 | % 32.82/9.03 +-Applying beta-rule and splitting (1073), into two cases. % 32.82/9.03 |-Branch one: % 32.82/9.03 | (462) all_0_53_53 = e1 % 32.82/9.03 | % 32.82/9.03 | Combining equations (994,462) yields a new equation: % 32.82/9.03 | (680) e3 = e1 % 32.82/9.03 | % 32.82/9.03 | Simplifying 680 yields: % 32.82/9.03 | (601) e3 = e1 % 32.82/9.03 | % 32.82/9.03 | Equations (601) can reduce 136 to: % 32.82/9.03 | (303) $false % 32.82/9.03 | % 32.82/9.03 |-The branch is then unsatisfiable % 32.82/9.03 |-Branch two: % 32.82/9.03 | (509) ~ (all_0_53_53 = e1) % 32.82/9.03 | (530) all_0_55_55 = e1 % 32.82/9.03 | % 32.82/9.03 | Equations (530) can reduce 13 to: % 32.82/9.03 | (500) ~ (all_0_51_51 = e1) % 32.82/9.03 | % 32.82/9.03 | Equations (530) can reduce 169 to: % 32.82/9.03 | (502) ~ (all_0_52_52 = e1) % 32.82/9.03 | % 32.82/9.03 | Equations (530) can reduce 276 to: % 32.82/9.03 | (565) ~ (e2 = e1) % 32.82/9.03 | % 32.82/9.03 | Simplifying 565 yields: % 32.82/9.03 | (144) ~ (e2 = e1) % 32.82/9.03 | % 32.82/9.03 +-Applying beta-rule and splitting (24), into two cases. % 32.82/9.03 |-Branch one: % 32.82/9.03 | (980) all_0_52_52 = e2 % 32.82/9.03 | % 32.82/9.03 | Equations (980) can reduce 273 to: % 32.82/9.03 | (303) $false % 32.82/9.03 | % 32.82/9.03 |-The branch is then unsatisfiable % 32.82/9.03 |-Branch two: % 32.82/9.03 | (273) ~ (all_0_52_52 = e2) % 32.82/9.03 | (1772) all_0_52_52 = e4 | all_0_52_52 = e3 | all_0_52_52 = e1 % 32.82/9.03 | % 32.82/9.03 +-Applying beta-rule and splitting (166), into two cases. % 32.82/9.03 |-Branch one: % 32.82/9.03 | (927) all_0_51_51 = e2 % 32.82/9.03 | % 32.82/9.03 | Equations (927) can reduce 373 to: % 32.82/9.03 | (303) $false % 32.82/9.03 | % 32.82/9.03 |-The branch is then unsatisfiable % 32.82/9.03 |-Branch two: % 32.82/9.03 | (373) ~ (all_0_51_51 = e2) % 32.82/9.03 | (6448) all_0_51_51 = e4 | all_0_51_51 = e1 | all_0_51_51 = e0 % 32.82/9.03 | % 32.82/9.03 +-Applying beta-rule and splitting (6448), into two cases. % 32.82/9.03 |-Branch one: % 32.82/9.03 | (1501) all_0_51_51 = e4 % 32.82/9.03 | % 32.82/9.03 +-Applying beta-rule and splitting (1772), into two cases. % 32.82/9.03 |-Branch one: % 32.82/9.03 | (442) all_0_52_52 = e4 % 32.82/9.03 | % 32.82/9.03 | Equations (442) can reduce 502 to: % 32.82/9.03 | (247) ~ (e4 = e1) % 32.82/9.03 | % 32.82/9.03 +-Applying beta-rule and splitting (228), into two cases. % 32.82/9.03 |-Branch one: % 32.82/9.03 | (748) all_0_48_48 = e1 % 32.82/9.03 | % 32.82/9.03 | Combining equations (748,727) yields a new equation: % 32.82/9.03 | (585) e2 = e1 % 32.82/9.03 | % 32.82/9.03 | Equations (585) can reduce 144 to: % 32.82/9.03 | (303) $false % 32.82/9.03 | % 32.82/9.03 |-The branch is then unsatisfiable % 32.82/9.03 |-Branch two: % 32.82/9.03 | (802) ~ (all_0_48_48 = e1) % 32.82/9.03 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 32.82/9.03 | % 32.82/9.03 +-Applying beta-rule and splitting (209), into two cases. % 32.82/9.03 |-Branch one: % 32.82/9.03 | (1111) all_0_56_56 = e3 % 32.82/9.03 | % 32.82/9.03 | Equations (1111) can reduce 526 to: % 32.82/9.03 | (303) $false % 32.82/9.03 | % 32.82/9.03 |-The branch is then unsatisfiable % 32.82/9.03 |-Branch two: % 32.82/9.03 | (526) ~ (all_0_56_56 = e3) % 32.82/9.03 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 32.82/9.03 | % 32.82/9.03 +-Applying beta-rule and splitting (803), into two cases. % 32.82/9.03 |-Branch one: % 32.82/9.03 | (1580) all_0_49_49 = e1 % 32.82/9.03 | % 32.82/9.03 | Equations (1580) can reduce 506 to: % 32.82/9.03 | (303) $false % 32.82/9.03 | % 32.82/9.03 |-The branch is then unsatisfiable % 32.82/9.03 |-Branch two: % 32.82/9.03 | (506) ~ (all_0_49_49 = e1) % 32.82/9.03 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 32.82/9.03 | % 32.82/9.03 +-Applying beta-rule and splitting (1491), into two cases. % 32.82/9.03 |-Branch one: % 32.82/9.03 | (1001) all_0_57_57 = e3 % 32.82/9.03 | % 32.82/9.03 | Equations (1001) can reduce 2590 to: % 32.82/9.03 | (303) $false % 32.82/9.03 | % 32.82/9.03 |-The branch is then unsatisfiable % 32.82/9.03 |-Branch two: % 32.82/9.03 | (2590) ~ (all_0_57_57 = e3) % 32.82/9.03 | (2977) all_0_59_59 = e3 | all_0_60_60 = e3 % 32.82/9.03 | % 32.82/9.03 +-Applying beta-rule and splitting (2977), into two cases. % 32.82/9.03 |-Branch one: % 32.82/9.03 | (456) all_0_59_59 = e3 % 32.82/9.03 | % 32.82/9.03 | Equations (456) can reduce 126 to: % 32.82/9.03 | (15) ~ (all_0_50_50 = e3) % 32.82/9.03 | % 32.82/9.03 | Equations (456) can reduce 260 to: % 32.82/9.03 | (223) ~ (e3 = e2) % 32.82/9.03 | % 32.82/9.03 | Equations (456) can reduce 216 to: % 32.82/9.03 | (70) ~ (e3 = e0) % 32.82/9.03 | % 32.82/9.03 +-Applying beta-rule and splitting (1585), into two cases. % 32.82/9.03 |-Branch one: % 32.82/9.03 | (627) all_0_50_50 = e1 % 32.82/9.03 | % 32.82/9.03 | Equations (627) can reduce 15 to: % 32.82/9.03 | (465) ~ (e3 = e1) % 32.82/9.03 | % 32.82/9.03 | Simplifying 465 yields: % 32.82/9.03 | (136) ~ (e3 = e1) % 32.82/9.03 | % 32.82/9.03 +-Applying beta-rule and splitting (7006), into two cases. % 32.82/9.03 |-Branch one: % 32.82/9.03 | (309) all_0_47_47 = e3 % 32.82/9.03 | % 32.82/9.03 | Combining equations (306,309) yields a new equation: % 32.82/9.03 | (497) e3 = e0 % 32.82/9.03 | % 32.82/9.03 | Equations (497) can reduce 70 to: % 32.82/9.03 | (303) $false % 32.82/9.03 | % 32.82/9.03 |-The branch is then unsatisfiable % 32.82/9.03 |-Branch two: % 32.82/9.03 | (516) ~ (all_0_47_47 = e3) % 32.82/9.03 | (7012) all_0_55_55 = e3 | all_0_60_60 = e3 % 32.82/9.03 | % 32.82/9.03 +-Applying beta-rule and splitting (7012), into two cases. % 32.82/9.03 |-Branch one: % 32.82/9.03 | (2165) all_0_55_55 = e3 % 32.82/9.03 | % 32.82/9.03 | Combining equations (530,2165) yields a new equation: % 32.82/9.03 | (601) e3 = e1 % 32.82/9.03 | % 32.82/9.03 | Equations (601) can reduce 136 to: % 32.82/9.03 | (303) $false % 32.82/9.03 | % 32.82/9.03 |-The branch is then unsatisfiable % 32.82/9.03 |-Branch two: % 32.82/9.03 | (314) ~ (all_0_55_55 = e3) % 32.82/9.03 | (1937) all_0_60_60 = e3 % 32.82/9.03 | % 32.82/9.03 | Combining equations (1937,913) yields a new equation: % 32.82/9.03 | (452) e3 = e2 % 32.82/9.03 | % 32.82/9.03 | Simplifying 452 yields: % 32.82/9.03 | (453) e3 = e2 % 32.82/9.03 | % 32.82/9.03 | Equations (453) can reduce 223 to: % 32.82/9.03 | (303) $false % 32.82/9.03 | % 32.82/9.03 |-The branch is then unsatisfiable % 32.82/9.03 |-Branch two: % 32.82/9.03 | (678) ~ (all_0_50_50 = e1) % 32.82/9.03 | (1590) all_0_51_51 = e1 % 32.82/9.03 | % 32.82/9.03 | Combining equations (1501,1590) yields a new equation: % 32.82/9.03 | (540) e4 = e1 % 32.82/9.03 | % 32.82/9.03 | Simplifying 540 yields: % 32.82/9.03 | (541) e4 = e1 % 32.82/9.03 | % 32.82/9.03 | Equations (541) can reduce 247 to: % 32.82/9.03 | (303) $false % 32.82/9.03 | % 32.82/9.03 |-The branch is then unsatisfiable % 32.82/9.03 |-Branch two: % 32.82/9.03 | (1031) ~ (all_0_59_59 = e3) % 32.82/9.04 | (1937) all_0_60_60 = e3 % 32.82/9.04 | % 32.82/9.04 | Combining equations (913,1937) yields a new equation: % 32.82/9.04 | (453) e3 = e2 % 32.82/9.04 | % 32.82/9.04 | Equations (453) can reduce 223 to: % 32.82/9.04 | (303) $false % 32.82/9.04 | % 32.82/9.04 |-The branch is then unsatisfiable % 32.82/9.04 |-Branch two: % 32.82/9.04 | (445) ~ (all_0_52_52 = e4) % 32.82/9.04 | (1795) all_0_52_52 = e3 | all_0_52_52 = e1 % 32.82/9.04 | % 32.82/9.04 +-Applying beta-rule and splitting (1795), into two cases. % 32.82/9.04 |-Branch one: % 32.82/9.04 | (1070) all_0_52_52 = e1 % 32.82/9.04 | % 32.82/9.04 | Equations (1070) can reduce 502 to: % 32.82/9.04 | (303) $false % 32.82/9.04 | % 32.82/9.04 |-The branch is then unsatisfiable % 32.82/9.04 |-Branch two: % 32.82/9.04 | (502) ~ (all_0_52_52 = e1) % 32.82/9.04 | (425) all_0_52_52 = e3 % 32.82/9.04 | % 32.82/9.04 | Equations (425) can reduce 521 to: % 32.82/9.04 | (303) $false % 32.82/9.04 | % 32.82/9.04 |-The branch is then unsatisfiable % 32.82/9.04 |-Branch two: % 32.82/9.04 | (1504) ~ (all_0_51_51 = e4) % 32.82/9.04 | (6452) all_0_51_51 = e1 | all_0_51_51 = e0 % 32.82/9.04 | % 32.82/9.04 +-Applying beta-rule and splitting (6452), into two cases. % 32.82/9.04 |-Branch one: % 32.82/9.04 | (1590) all_0_51_51 = e1 % 32.82/9.04 | % 32.82/9.04 | Equations (1590) can reduce 500 to: % 32.82/9.04 | (303) $false % 32.82/9.04 | % 32.82/9.04 |-The branch is then unsatisfiable % 32.82/9.04 |-Branch two: % 32.82/9.04 | (500) ~ (all_0_51_51 = e1) % 32.82/9.04 | (388) all_0_51_51 = e0 % 32.82/9.04 | % 32.82/9.04 | Equations (388) can reduce 2347 to: % 32.82/9.04 | (303) $false % 32.82/9.04 | % 32.82/9.04 |-The branch is then unsatisfiable % 32.82/9.04 |-Branch two: % 32.82/9.04 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 32.82/9.04 | % 32.82/9.04 | Applying alpha-rule on (514) yields: % 32.82/9.04 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 32.82/9.04 | (516) ~ (all_0_47_47 = e3) % 32.82/9.04 | (314) ~ (all_0_55_55 = e3) % 32.82/9.04 | (368) all_0_49_49 = e2 % 32.82/9.04 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 32.82/9.04 | (520) ~ (unit = e3) % 32.82/9.04 | (521) ~ (all_0_52_52 = e3) % 32.82/9.04 | (455) ~ (all_0_46_46 = e3) % 32.82/9.04 | (432) ~ (all_0_40_40 = e3) % 32.82/9.04 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 32.82/9.04 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 32.82/9.04 | (526) ~ (all_0_56_56 = e3) % 32.82/9.04 | % 32.82/9.04 | Equations (368) can reduce 2167 to: % 32.82/9.04 | (303) $false % 32.82/9.04 | % 32.82/9.04 |-The branch is then unsatisfiable % 32.82/9.04 |-Branch two: % 32.82/9.04 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 32.82/9.04 | % 32.82/9.04 | Applying alpha-rule on (528) yields: % 32.82/9.04 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 32.82/9.04 | (530) all_0_55_55 = e1 % 32.82/9.04 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 32.82/9.04 | (387) ~ (all_0_49_49 = e0) % 32.82/9.04 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 32.82/9.04 | (534) ~ (all_0_45_45 = e0) % 32.82/9.04 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 32.82/9.04 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 32.82/9.04 | (537) ~ (unit = e0) % 32.82/9.04 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 32.82/9.04 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 32.82/9.04 | % 32.82/9.04 +-Applying beta-rule and splitting (536), into two cases. % 32.82/9.04 |-Branch one: % 32.82/9.04 | (3164) ~ (all_0_42_42 = e0) % 32.82/9.04 | % 32.82/9.04 | Equations (324) can reduce 3164 to: % 32.82/9.04 | (303) $false % 32.82/9.04 | % 32.82/9.04 |-The branch is then unsatisfiable % 32.82/9.04 |-Branch two: % 32.82/9.04 | (324) all_0_42_42 = e0 % 32.82/9.04 | (572) all_0_44_44 = e2 % 32.82/9.04 | % 32.82/9.04 | Equations (572) can reduce 915 to: % 32.82/9.04 | (303) $false % 32.82/9.04 | % 32.82/9.04 |-The branch is then unsatisfiable % 32.82/9.04 |-Branch two: % 32.82/9.04 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 32.82/9.04 | % 32.82/9.04 | Applying alpha-rule on (543) yields: % 32.82/9.04 | (544) ~ (all_0_48_48 = e2) % 32.82/9.04 | (369) ~ (all_0_41_41 = e2) % 32.82/9.04 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 32.82/9.04 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 32.82/9.04 | (253) ~ (all_0_43_43 = e2) % 32.82/9.04 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 32.82/9.04 | (276) ~ (all_0_55_55 = e2) % 32.82/9.04 | (260) ~ (all_0_59_59 = e2) % 32.82/9.04 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 32.82/9.04 | (274) ~ (all_0_53_53 = e2) % 32.82/9.04 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 32.82/9.04 | (373) ~ (all_0_51_51 = e2) % 32.82/9.04 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 32.82/9.04 | (256) ~ (all_0_47_47 = e2) % 32.82/9.04 | (377) ~ (all_0_57_57 = e2) % 32.82/9.04 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 32.82/9.04 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 32.82/9.04 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 32.82/9.04 | (258) ~ (all_0_50_50 = e2) % 32.82/9.04 | (254) ~ (all_0_45_45 = e2) % 32.82/9.04 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 32.82/9.04 | % 32.82/9.04 | Equations (727) can reduce 544 to: % 32.82/9.04 | (303) $false % 32.82/9.04 | % 32.82/9.04 |-The branch is then unsatisfiable % 32.82/9.04 |-Branch two: % 32.82/9.04 | (544) ~ (all_0_48_48 = e2) % 32.82/9.04 | (2476) all_0_49_49 = e2 | all_0_50_50 = e2 | all_0_51_51 = e2 % 32.82/9.04 | % 32.82/9.04 +-Applying beta-rule and splitting (2476), into two cases. % 32.82/9.04 |-Branch one: % 32.82/9.04 | (368) all_0_49_49 = e2 % 32.82/9.04 | % 32.82/9.04 | Equations (368) can reduce 2167 to: % 32.82/9.04 | (303) $false % 32.82/9.04 | % 32.82/9.04 |-The branch is then unsatisfiable % 32.82/9.04 |-Branch two: % 32.82/9.04 | (2167) ~ (all_0_49_49 = e2) % 32.82/9.04 | (2480) all_0_50_50 = e2 | all_0_51_51 = e2 % 32.82/9.04 | % 32.82/9.04 +-Applying beta-rule and splitting (96), into two cases. % 32.82/9.04 |-Branch one: % 32.82/9.04 | (917) all_0_40_40 = e2 % 32.82/9.04 | % 32.82/9.04 | Equations (917) can reduce 939 to: % 32.82/9.04 | (303) $false % 32.82/9.04 | % 32.82/9.04 |-The branch is then unsatisfiable % 32.82/9.04 |-Branch two: % 32.82/9.04 | (939) ~ (all_0_40_40 = e2) % 32.82/9.04 | (944) all_0_45_45 = e2 | all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 32.82/9.04 | % 32.82/9.04 +-Applying beta-rule and splitting (2480), into two cases. % 32.82/9.04 |-Branch one: % 32.82/9.04 | (364) all_0_50_50 = e2 % 32.82/9.04 | % 32.82/9.04 | Equations (364) can reduce 258 to: % 32.82/9.04 | (303) $false % 32.82/9.04 | % 32.82/9.04 |-The branch is then unsatisfiable % 32.82/9.04 |-Branch two: % 32.82/9.04 | (258) ~ (all_0_50_50 = e2) % 32.82/9.04 | (927) all_0_51_51 = e2 % 32.82/9.04 | % 32.82/9.04 | Equations (927) can reduce 161 to: % 32.82/9.04 | (915) ~ (all_0_44_44 = e2) % 32.82/9.04 | % 32.82/9.04 | Equations (927) can reduce 127 to: % 32.82/9.04 | (544) ~ (all_0_48_48 = e2) % 32.82/9.04 | % 32.82/9.04 | Equations (927) can reduce 160 to: % 32.82/9.04 | (2167) ~ (all_0_49_49 = e2) % 32.82/9.04 | % 32.82/9.04 | Equations (927) can reduce 171 to: % 32.82/9.04 | (258) ~ (all_0_50_50 = e2) % 32.82/9.04 | % 32.82/9.04 | Equations (927) can reduce 13 to: % 32.82/9.04 | (275) ~ (all_0_55_55 = e2) % 32.82/9.04 | % 32.82/9.04 | Simplifying 275 yields: % 32.82/9.04 | (276) ~ (all_0_55_55 = e2) % 32.82/9.04 | % 32.82/9.04 | Equations (927) can reduce 32 to: % 32.82/9.04 | (577) ~ (e3 = e2) % 32.82/9.04 | % 32.82/9.04 | Simplifying 577 yields: % 32.82/9.04 | (223) ~ (e3 = e2) % 32.82/9.04 | % 32.82/9.04 | Equations (927) can reduce 2347 to: % 32.82/9.04 | (51) ~ (e2 = e0) % 32.82/9.04 | % 32.82/9.04 +-Applying beta-rule and splitting (61), into two cases. % 32.82/9.04 |-Branch one: % 32.82/9.04 | (580) all_0_56_56 = e2 % 32.82/9.04 | % 32.82/9.04 +-Applying beta-rule and splitting (41), into two cases. % 32.82/9.04 |-Branch one: % 32.82/9.04 | (2834) all_0_40_40 = e0 % 32.82/9.04 | % 32.82/9.04 | Equations (2834) can reduce 288 to: % 32.82/9.04 | (303) $false % 32.82/9.04 | % 32.82/9.04 |-The branch is then unsatisfiable % 32.82/9.04 |-Branch two: % 32.82/9.04 | (288) ~ (all_0_40_40 = e0) % 32.82/9.04 | (6377) all_0_45_45 = e0 | all_0_48_48 = e0 | all_0_56_56 = e0 % 32.82/9.04 | % 32.82/9.04 +-Applying beta-rule and splitting (6377), into two cases. % 32.82/9.04 |-Branch one: % 32.82/9.04 | (287) all_0_45_45 = e0 % 32.82/9.04 | % 32.82/9.04 | Combining equations (493,287) yields a new equation: % 32.82/9.04 | (496) e3 = e0 % 32.82/9.04 | % 32.82/9.04 | Simplifying 496 yields: % 32.82/9.04 | (497) e3 = e0 % 32.82/9.04 | % 32.82/9.04 | Equations (497) can reduce 70 to: % 32.82/9.04 | (303) $false % 32.82/9.04 | % 32.82/9.04 |-The branch is then unsatisfiable % 32.82/9.04 |-Branch two: % 32.82/9.04 | (534) ~ (all_0_45_45 = e0) % 32.82/9.04 | (6383) all_0_48_48 = e0 | all_0_56_56 = e0 % 32.82/9.04 | % 32.82/9.04 +-Applying beta-rule and splitting (50), into two cases. % 32.82/9.04 |-Branch one: % 32.82/9.04 | (2307) all_0_56_56 = e0 % 32.82/9.04 | % 32.82/9.04 | Combining equations (580,2307) yields a new equation: % 32.82/9.04 | (403) e2 = e0 % 32.82/9.04 | % 32.82/9.04 | Simplifying 403 yields: % 32.82/9.04 | (385) e2 = e0 % 32.82/9.04 | % 32.82/9.04 | Equations (385) can reduce 51 to: % 32.82/9.04 | (303) $false % 32.82/9.04 | % 32.82/9.04 |-The branch is then unsatisfiable % 32.82/9.04 |-Branch two: % 32.82/9.04 | (296) ~ (all_0_56_56 = e0) % 32.82/9.04 | (2310) all_0_57_57 = e0 | all_0_58_58 = e0 | all_0_60_60 = e0 % 32.82/9.04 | % 32.82/9.04 | Equations (580) can reduce 296 to: % 32.82/9.04 | (51) ~ (e2 = e0) % 32.82/9.04 | % 32.82/9.04 +-Applying beta-rule and splitting (6383), into two cases. % 32.82/9.04 |-Branch one: % 32.82/9.04 | (380) all_0_48_48 = e0 % 32.82/9.04 | % 32.82/9.04 | Equations (380) can reduce 58 to: % 32.82/9.04 | (8746) ~ (all_0_49_49 = e0) % 32.82/9.04 | % 32.82/9.05 | Simplifying 8746 yields: % 32.82/9.05 | (387) ~ (all_0_49_49 = e0) % 32.82/9.05 | % 32.82/9.05 | Equations (380) can reduce 48 to: % 32.82/9.05 | (6386) ~ (all_0_50_50 = e0) % 32.82/9.05 | % 32.82/9.05 | Simplifying 6386 yields: % 32.82/9.05 | (207) ~ (all_0_50_50 = e0) % 32.82/9.05 | % 32.82/9.05 +-Applying beta-rule and splitting (2168), into two cases. % 32.82/9.05 |-Branch one: % 32.82/9.05 | (1580) all_0_49_49 = e1 % 32.82/9.05 | % 32.82/9.05 | Equations (1580) can reduce 37 to: % 32.82/9.05 | (855) ~ (all_0_50_50 = e1) % 32.82/9.05 | % 32.82/9.05 | Simplifying 855 yields: % 32.82/9.05 | (678) ~ (all_0_50_50 = e1) % 32.82/9.05 | % 32.82/9.05 | Equations (1580) can reduce 7 to: % 32.82/9.05 | (6422) ~ (all_0_53_53 = e1) % 32.82/9.05 | % 32.82/9.05 | Simplifying 6422 yields: % 32.82/9.05 | (509) ~ (all_0_53_53 = e1) % 32.82/9.05 | % 32.82/9.05 | Equations (1580) can reduce 2167 to: % 32.82/9.05 | (565) ~ (e2 = e1) % 32.82/9.05 | % 32.82/9.05 | Simplifying 565 yields: % 32.82/9.05 | (144) ~ (e2 = e1) % 32.82/9.05 | % 32.82/9.05 +-Applying beta-rule and splitting (367), into two cases. % 32.82/9.05 |-Branch one: % 32.82/9.05 | (714) all_0_50_50 = e4 % 32.82/9.05 | % 32.82/9.05 | Equations (714) can reduce 258 to: % 32.82/9.05 | (231) ~ (e4 = e2) % 32.82/9.05 | % 32.82/9.05 | Equations (714) can reduce 678 to: % 32.82/9.05 | (247) ~ (e4 = e1) % 32.82/9.05 | % 32.82/9.05 | Equations (714) can reduce 207 to: % 32.82/9.05 | (4) ~ (e4 = e0) % 32.82/9.05 | % 32.82/9.05 +-Applying beta-rule and splitting (2310), into two cases. % 32.82/9.05 |-Branch one: % 32.82/9.05 | (407) all_0_57_57 = e0 % 32.82/9.05 | % 32.82/9.05 | Equations (407) can reduce 222 to: % 32.82/9.05 | (411) ~ (all_0_59_59 = e0) % 32.82/9.05 | % 32.82/9.05 | Simplifying 411 yields: % 32.82/9.05 | (216) ~ (all_0_59_59 = e0) % 32.82/9.05 | % 32.82/9.05 +-Applying beta-rule and splitting (363), into two cases. % 32.82/9.05 |-Branch one: % 32.82/9.05 | (462) all_0_53_53 = e1 % 32.82/9.05 | % 32.82/9.05 | Equations (462) can reduce 509 to: % 32.82/9.05 | (303) $false % 32.82/9.05 | % 32.82/9.05 |-The branch is then unsatisfiable % 32.82/9.05 |-Branch two: % 32.82/9.05 | (509) ~ (all_0_53_53 = e1) % 32.82/9.05 | (994) all_0_53_53 = e3 % 32.82/9.05 | % 32.82/9.05 | Equations (994) can reduce 509 to: % 32.82/9.05 | (136) ~ (e3 = e1) % 32.82/9.05 | % 32.82/9.05 +-Applying beta-rule and splitting (56), into two cases. % 32.82/9.05 |-Branch one: % 32.82/9.05 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 32.82/9.05 | % 32.82/9.05 +-Applying beta-rule and splitting (480), into two cases. % 32.82/9.05 |-Branch one: % 32.82/9.05 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 32.82/9.05 | % 32.82/9.05 +-Applying beta-rule and splitting (481), into two cases. % 32.82/9.05 |-Branch one: % 32.82/9.05 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 32.82/9.05 | % 32.82/9.05 +-Applying beta-rule and splitting (482), into two cases. % 32.82/9.05 |-Branch one: % 32.82/9.05 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 32.82/9.05 | % 32.82/9.05 | Applying alpha-rule on (483) yields: % 32.82/9.05 | (484) ~ (unit = e4) % 32.82/9.05 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 32.82/9.05 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 32.82/9.05 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 32.82/9.05 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 32.82/9.05 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 32.82/9.05 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 32.82/9.05 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 32.82/9.05 | (492) ~ (all_0_55_55 = e4) % 32.82/9.05 | (493) all_0_45_45 = e3 % 32.82/9.05 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 32.82/9.05 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 32.82/9.05 | % 32.82/9.05 +-Applying beta-rule and splitting (241), into two cases. % 32.82/9.05 |-Branch one: % 32.82/9.05 | (1096) all_0_44_44 = e4 % 32.82/9.05 | % 32.82/9.05 | Equations (1096) can reduce 59 to: % 32.82/9.05 | (6955) ~ (all_0_55_55 = e4) % 32.82/9.05 | % 32.82/9.05 | Simplifying 6955 yields: % 32.82/9.05 | (492) ~ (all_0_55_55 = e4) % 32.82/9.05 | % 32.82/9.05 | Equations (1096) can reduce 915 to: % 32.82/9.05 | (231) ~ (e4 = e2) % 32.82/9.05 | % 32.82/9.05 +-Applying beta-rule and splitting (6), into two cases. % 32.82/9.05 |-Branch one: % 32.82/9.05 | (442) all_0_52_52 = e4 % 32.82/9.05 | % 32.82/9.05 +-Applying beta-rule and splitting (153), into two cases. % 32.82/9.05 |-Branch one: % 32.82/9.05 | (932) all_0_55_55 = e2 % 32.82/9.05 | % 32.82/9.05 | Equations (932) can reduce 276 to: % 32.82/9.05 | (303) $false % 32.82/9.05 | % 32.82/9.05 |-The branch is then unsatisfiable % 32.82/9.05 |-Branch two: % 32.82/9.05 | (276) ~ (all_0_55_55 = e2) % 32.82/9.05 | (1809) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 % 32.82/9.05 | % 32.82/9.05 +-Applying beta-rule and splitting (85), into two cases. % 32.82/9.05 |-Branch one: % 32.82/9.05 | (1070) all_0_52_52 = e1 % 32.82/9.05 | % 32.82/9.05 | Combining equations (442,1070) yields a new equation: % 32.82/9.05 | (540) e4 = e1 % 32.82/9.05 | % 32.82/9.05 | Simplifying 540 yields: % 32.82/9.05 | (541) e4 = e1 % 32.82/9.05 | % 32.82/9.05 | Equations (541) can reduce 247 to: % 32.82/9.05 | (303) $false % 32.82/9.05 | % 32.82/9.05 |-The branch is then unsatisfiable % 32.82/9.05 |-Branch two: % 32.82/9.05 | (502) ~ (all_0_52_52 = e1) % 32.82/9.05 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 32.82/9.05 | % 32.82/9.05 +-Applying beta-rule and splitting (1073), into two cases. % 32.82/9.05 |-Branch one: % 32.82/9.05 | (462) all_0_53_53 = e1 % 32.82/9.05 | % 32.82/9.05 | Combining equations (994,462) yields a new equation: % 32.82/9.05 | (680) e3 = e1 % 32.82/9.05 | % 32.82/9.05 | Simplifying 680 yields: % 32.82/9.05 | (601) e3 = e1 % 32.82/9.05 | % 32.82/9.05 | Equations (601) can reduce 136 to: % 32.82/9.05 | (303) $false % 32.82/9.05 | % 32.82/9.05 |-The branch is then unsatisfiable % 32.82/9.05 |-Branch two: % 32.82/9.05 | (509) ~ (all_0_53_53 = e1) % 32.82/9.05 | (530) all_0_55_55 = e1 % 32.82/9.05 | % 32.82/9.05 | Equations (530) can reduce 159 to: % 32.82/9.05 | (1050) ~ (all_0_60_60 = e1) % 32.82/9.05 | % 32.82/9.05 | Simplifying 1050 yields: % 32.82/9.05 | (501) ~ (all_0_60_60 = e1) % 32.82/9.05 | % 32.82/9.05 | Equations (530) can reduce 276 to: % 32.82/9.05 | (565) ~ (e2 = e1) % 32.82/9.05 | % 32.82/9.05 | Simplifying 565 yields: % 32.82/9.05 | (144) ~ (e2 = e1) % 32.82/9.05 | % 32.82/9.05 | Equations (530) can reduce 93 to: % 32.82/9.05 | (134) ~ (e1 = e0) % 32.82/9.05 | % 32.82/9.05 +-Applying beta-rule and splitting (245), into two cases. % 32.82/9.05 |-Branch one: % 32.82/9.05 | (583) all_0_56_56 = e1 % 32.82/9.05 | % 32.82/9.05 | Combining equations (580,583) yields a new equation: % 32.82/9.05 | (584) e2 = e1 % 32.82/9.05 | % 32.82/9.05 | Simplifying 584 yields: % 32.82/9.05 | (585) e2 = e1 % 32.82/9.05 | % 32.82/9.05 | Equations (585) can reduce 144 to: % 32.82/9.05 | (303) $false % 32.82/9.05 | % 32.82/9.05 |-The branch is then unsatisfiable % 32.82/9.05 |-Branch two: % 32.82/9.05 | (587) ~ (all_0_56_56 = e1) % 32.82/9.05 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 32.82/9.05 | % 32.82/9.05 +-Applying beta-rule and splitting (588), into two cases. % 32.82/9.05 |-Branch one: % 32.82/9.05 | (589) all_0_57_57 = e1 % 32.82/9.05 | % 32.82/9.05 | Combining equations (589,407) yields a new equation: % 32.82/9.05 | (670) e1 = e0 % 32.82/9.05 | % 32.82/9.05 | Simplifying 670 yields: % 32.82/9.05 | (590) e1 = e0 % 32.82/9.05 | % 32.82/9.05 | Equations (590) can reduce 134 to: % 32.82/9.05 | (303) $false % 32.82/9.05 | % 32.82/9.05 |-The branch is then unsatisfiable % 32.82/9.05 |-Branch two: % 32.82/9.05 | (592) ~ (all_0_57_57 = e1) % 32.82/9.05 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 32.82/9.05 | % 32.82/9.05 +-Applying beta-rule and splitting (593), into two cases. % 32.82/9.05 |-Branch one: % 32.82/9.05 | (600) all_0_59_59 = e1 % 32.82/9.05 | % 32.82/9.05 | Equations (600) can reduce 216 to: % 32.82/9.05 | (134) ~ (e1 = e0) % 32.82/9.05 | % 32.82/9.05 +-Applying beta-rule and splitting (488), into two cases. % 32.82/9.05 |-Branch one: % 32.82/9.05 | (611) ~ (all_0_50_50 = e4) % 32.82/9.05 | % 32.82/9.05 | Equations (714) can reduce 611 to: % 32.82/9.05 | (303) $false % 32.82/9.05 | % 32.82/9.05 |-The branch is then unsatisfiable % 32.82/9.05 |-Branch two: % 32.82/9.05 | (714) all_0_50_50 = e4 % 32.82/9.05 | (748) all_0_48_48 = e1 % 32.82/9.05 | % 32.82/9.05 | Combining equations (380,748) yields a new equation: % 32.82/9.05 | (590) e1 = e0 % 32.82/9.05 | % 32.82/9.05 | Equations (590) can reduce 134 to: % 32.82/9.05 | (303) $false % 32.82/9.05 | % 32.82/9.05 |-The branch is then unsatisfiable % 32.82/9.05 |-Branch two: % 32.82/9.05 | (603) ~ (all_0_59_59 = e1) % 32.82/9.05 | (604) all_0_60_60 = e1 % 32.82/9.05 | % 32.82/9.05 | Equations (604) can reduce 501 to: % 32.82/9.05 | (303) $false % 32.82/9.05 | % 32.82/9.05 |-The branch is then unsatisfiable % 32.82/9.05 |-Branch two: % 32.82/9.05 | (445) ~ (all_0_52_52 = e4) % 32.82/9.05 | (446) all_0_54_54 = e4 | all_0_55_55 = e4 % 32.82/9.05 | % 32.82/9.05 +-Applying beta-rule and splitting (446), into two cases. % 32.82/9.05 |-Branch one: % 32.82/9.05 | (469) all_0_54_54 = e4 % 32.82/9.05 | % 32.82/9.05 | Combining equations (271,469) yields a new equation: % 32.82/9.05 | (470) e4 = e2 % 32.82/9.05 | % 32.82/9.05 | Equations (470) can reduce 231 to: % 32.82/9.05 | (303) $false % 32.82/9.05 | % 32.82/9.05 |-The branch is then unsatisfiable % 32.82/9.05 |-Branch two: % 32.82/9.05 | (472) ~ (all_0_54_54 = e4) % 32.82/9.05 | (473) all_0_55_55 = e4 % 32.82/9.05 | % 32.82/9.05 | Equations (473) can reduce 492 to: % 32.82/9.05 | (303) $false % 32.82/9.05 | % 32.82/9.05 |-The branch is then unsatisfiable % 32.82/9.05 |-Branch two: % 32.82/9.05 | (474) ~ (all_0_44_44 = e4) % 32.82/9.05 | (1500) all_0_51_51 = e4 | all_0_55_55 = e4 | all_0_60_60 = e4 % 32.82/9.05 | % 32.82/9.05 +-Applying beta-rule and splitting (1500), into two cases. % 32.82/9.05 |-Branch one: % 32.82/9.05 | (1501) all_0_51_51 = e4 % 32.82/9.05 | % 32.82/9.05 | Combining equations (927,1501) yields a new equation: % 32.82/9.05 | (470) e4 = e2 % 32.82/9.05 | % 32.82/9.05 | Equations (470) can reduce 231 to: % 32.82/9.05 | (303) $false % 32.82/9.05 | % 32.82/9.05 |-The branch is then unsatisfiable % 32.82/9.05 |-Branch two: % 32.82/9.05 | (1504) ~ (all_0_51_51 = e4) % 32.82/9.05 | (1505) all_0_55_55 = e4 | all_0_60_60 = e4 % 32.82/9.05 | % 32.82/9.05 +-Applying beta-rule and splitting (1505), into two cases. % 32.82/9.05 |-Branch one: % 32.82/9.05 | (473) all_0_55_55 = e4 % 32.82/9.05 | % 32.82/9.05 | Equations (473) can reduce 492 to: % 32.82/9.05 | (303) $false % 32.82/9.05 | % 32.82/9.05 |-The branch is then unsatisfiable % 32.82/9.05 |-Branch two: % 32.82/9.05 | (492) ~ (all_0_55_55 = e4) % 32.82/9.05 | (1510) all_0_60_60 = e4 % 32.82/9.05 | % 32.82/9.05 | Equations (1510) can reduce 350 to: % 32.82/9.05 | (303) $false % 32.82/9.05 | % 32.82/9.05 |-The branch is then unsatisfiable % 32.82/9.05 |-Branch two: % 32.82/9.05 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 32.82/9.06 | % 32.82/9.06 | Applying alpha-rule on (499) yields: % 32.82/9.06 | (500) ~ (all_0_51_51 = e1) % 32.82/9.06 | (501) ~ (all_0_60_60 = e1) % 32.82/9.06 | (502) ~ (all_0_52_52 = e1) % 32.82/9.06 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 32.82/9.06 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 32.82/9.06 | (252) all_0_46_46 = e2 % 32.82/9.06 | (506) ~ (all_0_49_49 = e1) % 32.82/9.06 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 32.82/9.06 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 32.82/9.06 | (509) ~ (all_0_53_53 = e1) % 32.82/9.06 | (510) ~ (unit = e1) % 32.82/9.06 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 32.82/9.06 | (512) ~ (all_0_44_44 = e1) % 32.82/9.06 | % 32.82/9.06 | Equations (1580) can reduce 506 to: % 32.82/9.06 | (303) $false % 32.82/9.06 | % 32.82/9.06 |-The branch is then unsatisfiable % 32.82/9.06 |-Branch two: % 32.82/9.06 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 32.82/9.06 | % 32.82/9.06 | Applying alpha-rule on (514) yields: % 32.82/9.06 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 32.82/9.06 | (516) ~ (all_0_47_47 = e3) % 32.82/9.06 | (314) ~ (all_0_55_55 = e3) % 32.82/9.06 | (368) all_0_49_49 = e2 % 32.82/9.06 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 32.82/9.06 | (520) ~ (unit = e3) % 32.82/9.06 | (521) ~ (all_0_52_52 = e3) % 32.82/9.06 | (455) ~ (all_0_46_46 = e3) % 32.82/9.06 | (432) ~ (all_0_40_40 = e3) % 32.82/9.06 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 32.82/9.06 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 32.82/9.06 | (526) ~ (all_0_56_56 = e3) % 32.82/9.06 | % 32.82/9.06 | Combining equations (1580,368) yields a new equation: % 32.82/9.06 | (585) e2 = e1 % 32.82/9.06 | % 32.82/9.06 | Equations (585) can reduce 144 to: % 32.82/9.06 | (303) $false % 32.82/9.06 | % 32.82/9.06 |-The branch is then unsatisfiable % 32.82/9.06 |-Branch two: % 32.82/9.06 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 32.82/9.06 | % 32.82/9.06 | Applying alpha-rule on (528) yields: % 32.82/9.06 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 32.82/9.06 | (530) all_0_55_55 = e1 % 32.82/9.06 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 32.82/9.06 | (387) ~ (all_0_49_49 = e0) % 32.82/9.06 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 32.82/9.06 | (534) ~ (all_0_45_45 = e0) % 32.82/9.06 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 32.82/9.06 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 32.82/9.06 | (537) ~ (unit = e0) % 32.82/9.06 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 32.82/9.06 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 32.82/9.06 | % 32.82/9.06 +-Applying beta-rule and splitting (87), into two cases. % 32.82/9.06 |-Branch one: % 32.82/9.06 | (572) all_0_44_44 = e2 % 32.82/9.06 | % 32.82/9.06 | Equations (572) can reduce 915 to: % 32.82/9.06 | (303) $false % 32.82/9.06 | % 32.82/9.06 |-The branch is then unsatisfiable % 32.82/9.06 |-Branch two: % 32.82/9.06 | (915) ~ (all_0_44_44 = e2) % 32.82/9.06 | (2069) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 32.82/9.06 | % 32.82/9.06 +-Applying beta-rule and splitting (536), into two cases. % 32.82/9.06 |-Branch one: % 32.82/9.06 | (3164) ~ (all_0_42_42 = e0) % 32.82/9.06 | % 32.82/9.06 | Equations (324) can reduce 3164 to: % 32.82/9.06 | (303) $false % 32.82/9.06 | % 32.82/9.06 |-The branch is then unsatisfiable % 32.82/9.06 |-Branch two: % 32.82/9.06 | (324) all_0_42_42 = e0 % 32.82/9.06 | (572) all_0_44_44 = e2 % 32.82/9.06 | % 32.82/9.06 | Equations (572) can reduce 915 to: % 32.82/9.06 | (303) $false % 32.82/9.06 | % 32.82/9.06 |-The branch is then unsatisfiable % 32.82/9.06 |-Branch two: % 32.82/9.06 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 32.82/9.06 | % 32.82/9.06 | Applying alpha-rule on (543) yields: % 32.82/9.06 | (544) ~ (all_0_48_48 = e2) % 32.82/9.06 | (369) ~ (all_0_41_41 = e2) % 32.82/9.06 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 32.82/9.06 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 32.82/9.06 | (253) ~ (all_0_43_43 = e2) % 32.82/9.06 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 32.82/9.06 | (276) ~ (all_0_55_55 = e2) % 32.82/9.06 | (260) ~ (all_0_59_59 = e2) % 32.82/9.06 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 32.82/9.06 | (274) ~ (all_0_53_53 = e2) % 32.82/9.06 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 32.82/9.06 | (373) ~ (all_0_51_51 = e2) % 32.82/9.06 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 32.82/9.06 | (256) ~ (all_0_47_47 = e2) % 32.82/9.06 | (377) ~ (all_0_57_57 = e2) % 32.82/9.06 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 32.82/9.06 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 32.82/9.06 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 32.82/9.06 | (258) ~ (all_0_50_50 = e2) % 32.82/9.06 | (254) ~ (all_0_45_45 = e2) % 32.82/9.06 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 32.82/9.06 | % 32.82/9.06 | Equations (927) can reduce 373 to: % 32.82/9.06 | (303) $false % 32.82/9.06 | % 32.82/9.06 |-The branch is then unsatisfiable % 32.82/9.06 |-Branch two: % 32.82/9.06 | (2273) ~ (all_0_57_57 = e0) % 32.82/9.06 | (2314) all_0_58_58 = e0 | all_0_60_60 = e0 % 32.82/9.06 | % 32.82/9.06 +-Applying beta-rule and splitting (2314), into two cases. % 32.82/9.06 |-Branch one: % 32.82/9.06 | (989) all_0_58_58 = e0 % 32.82/9.06 | % 32.82/9.06 | Combining equations (344,989) yields a new equation: % 32.82/9.06 | (1573) e4 = e0 % 32.82/9.06 | % 32.82/9.06 | Simplifying 1573 yields: % 32.82/9.06 | (654) e4 = e0 % 32.82/9.06 | % 32.82/9.06 | Equations (654) can reduce 4 to: % 32.82/9.06 | (303) $false % 32.82/9.06 | % 32.82/9.06 |-The branch is then unsatisfiable % 32.82/9.06 |-Branch two: % 32.82/9.06 | (332) ~ (all_0_58_58 = e0) % 32.82/9.06 | (1934) all_0_60_60 = e0 % 32.82/9.06 | % 32.82/9.06 | Equations (1934) can reduce 414 to: % 32.82/9.06 | (303) $false % 32.82/9.06 | % 32.82/9.06 |-The branch is then unsatisfiable % 32.82/9.06 |-Branch two: % 32.82/9.06 | (611) ~ (all_0_50_50 = e4) % 32.82/9.06 | (627) all_0_50_50 = e1 % 32.82/9.06 | % 32.82/9.06 | Equations (627) can reduce 678 to: % 32.82/9.06 | (303) $false % 32.82/9.06 | % 32.82/9.06 |-The branch is then unsatisfiable % 32.82/9.06 |-Branch two: % 32.82/9.06 | (506) ~ (all_0_49_49 = e1) % 32.82/9.06 | (384) all_0_49_49 = e0 % 32.82/9.06 | % 32.82/9.06 | Equations (384) can reduce 387 to: % 32.82/9.06 | (303) $false % 32.82/9.06 | % 32.82/9.06 |-The branch is then unsatisfiable % 32.82/9.06 |-Branch two: % 32.82/9.06 | (292) ~ (all_0_48_48 = e0) % 33.04/9.06 | (2307) all_0_56_56 = e0 % 33.04/9.06 | % 33.04/9.06 | Combining equations (580,2307) yields a new equation: % 33.04/9.06 | (403) e2 = e0 % 33.04/9.06 | % 33.04/9.06 | Simplifying 403 yields: % 33.04/9.06 | (385) e2 = e0 % 33.04/9.06 | % 33.04/9.06 | Equations (385) can reduce 51 to: % 33.04/9.06 | (303) $false % 33.04/9.06 | % 33.04/9.06 |-The branch is then unsatisfiable % 33.04/9.06 |-Branch two: % 33.04/9.06 | (594) ~ (all_0_56_56 = e2) % 33.04/9.06 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 33.04/9.06 | % 33.04/9.06 +-Applying beta-rule and splitting (944), into two cases. % 33.04/9.06 |-Branch one: % 33.04/9.06 | (951) all_0_45_45 = e2 % 33.04/9.06 | % 33.04/9.06 | Combining equations (951,493) yields a new equation: % 33.04/9.06 | (453) e3 = e2 % 33.04/9.06 | % 33.04/9.06 | Equations (453) can reduce 223 to: % 33.04/9.06 | (303) $false % 33.04/9.06 | % 33.04/9.06 |-The branch is then unsatisfiable % 33.04/9.06 |-Branch two: % 33.04/9.06 | (254) ~ (all_0_45_45 = e2) % 33.04/9.06 | (956) all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 33.04/9.06 | % 33.04/9.06 +-Applying beta-rule and splitting (956), into two cases. % 33.04/9.06 |-Branch one: % 33.04/9.06 | (727) all_0_48_48 = e2 % 33.04/9.06 | % 33.04/9.06 | Equations (727) can reduce 544 to: % 33.04/9.06 | (303) $false % 33.04/9.06 | % 33.04/9.06 |-The branch is then unsatisfiable % 33.04/9.06 |-Branch two: % 33.04/9.06 | (544) ~ (all_0_48_48 = e2) % 33.04/9.06 | (975) all_0_52_52 = e2 | all_0_56_56 = e2 % 33.04/9.06 | % 33.04/9.06 +-Applying beta-rule and splitting (24), into two cases. % 33.04/9.06 |-Branch one: % 33.04/9.06 | (980) all_0_52_52 = e2 % 33.04/9.06 | % 33.04/9.06 | Equations (980) can reduce 273 to: % 33.04/9.06 | (303) $false % 33.04/9.06 | % 33.04/9.06 |-The branch is then unsatisfiable % 33.04/9.06 |-Branch two: % 33.04/9.06 | (273) ~ (all_0_52_52 = e2) % 33.04/9.06 | (1772) all_0_52_52 = e4 | all_0_52_52 = e3 | all_0_52_52 = e1 % 33.04/9.06 | % 33.04/9.06 +-Applying beta-rule and splitting (975), into two cases. % 33.04/9.06 |-Branch one: % 33.04/9.06 | (980) all_0_52_52 = e2 % 33.04/9.06 | % 33.04/9.06 | Equations (980) can reduce 273 to: % 33.04/9.06 | (303) $false % 33.04/9.06 | % 33.04/9.06 |-The branch is then unsatisfiable % 33.04/9.06 |-Branch two: % 33.04/9.06 | (273) ~ (all_0_52_52 = e2) % 33.04/9.06 | (580) all_0_56_56 = e2 % 33.04/9.06 | % 33.04/9.06 | Equations (580) can reduce 594 to: % 33.04/9.06 | (303) $false % 33.04/9.06 | % 33.04/9.06 |-The branch is then unsatisfiable % 33.04/9.06 |-Branch two: % 33.04/9.06 | (369) ~ (all_0_41_41 = e2) % 33.04/9.06 | (2863) all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_57_57 = e2 % 33.04/9.06 | % 33.04/9.06 +-Applying beta-rule and splitting (2863), into two cases. % 33.04/9.06 |-Branch one: % 33.04/9.06 | (368) all_0_49_49 = e2 % 33.04/9.06 | % 33.04/9.06 | Equations (368) can reduce 2167 to: % 33.04/9.06 | (303) $false % 33.04/9.06 | % 33.04/9.06 |-The branch is then unsatisfiable % 33.04/9.06 |-Branch two: % 33.04/9.06 | (2167) ~ (all_0_49_49 = e2) % 33.04/9.06 | (5846) all_0_53_53 = e2 | all_0_57_57 = e2 % 33.04/9.06 | % 33.04/9.06 +-Applying beta-rule and splitting (5846), into two cases. % 33.04/9.06 |-Branch one: % 33.04/9.06 | (360) all_0_53_53 = e2 % 33.04/9.06 | % 33.04/9.06 | Equations (360) can reduce 274 to: % 33.04/9.06 | (303) $false % 33.04/9.06 | % 33.04/9.06 |-The branch is then unsatisfiable % 33.04/9.06 |-Branch two: % 33.04/9.06 | (274) ~ (all_0_53_53 = e2) % 33.04/9.06 | (897) all_0_57_57 = e2 % 33.04/9.06 | % 33.04/9.06 | Equations (897) can reduce 11 to: % 33.04/9.06 | (369) ~ (all_0_41_41 = e2) % 33.04/9.06 | % 33.04/9.06 | Equations (897) can reduce 226 to: % 33.04/9.06 | (2167) ~ (all_0_49_49 = e2) % 33.04/9.06 | % 33.04/9.06 | Equations (897) can reduce 251 to: % 33.04/9.06 | (274) ~ (all_0_53_53 = e2) % 33.04/9.06 | % 33.04/9.06 | Equations (897) can reduce 172 to: % 33.04/9.06 | (594) ~ (all_0_56_56 = e2) % 33.04/9.06 | % 33.04/9.06 | Equations (897) can reduce 81 to: % 33.04/9.06 | (573) ~ (all_0_60_60 = e2) % 33.04/9.06 | % 33.04/9.06 | Simplifying 573 yields: % 33.04/9.06 | (571) ~ (all_0_60_60 = e2) % 33.04/9.06 | % 33.04/9.07 | From (897) and (35) follows: % 33.04/9.07 | (5860) op(e2, e3) = all_0_34_34 % 33.04/9.07 | % 33.04/9.07 | From (897) and (5) follows: % 33.04/9.07 | (2880) op(e0, e3) = e2 % 33.04/9.07 | % 33.04/9.07 +-Applying beta-rule and splitting (150), into two cases. % 33.04/9.07 |-Branch one: % 33.04/9.07 | (398) all_0_41_41 = e0 % 33.04/9.07 | % 33.04/9.07 | Equations (398) can reduce 326 to: % 33.04/9.07 | (303) $false % 33.04/9.07 | % 33.04/9.07 |-The branch is then unsatisfiable % 33.04/9.07 |-Branch two: % 33.04/9.07 | (326) ~ (all_0_41_41 = e0) % 33.04/9.07 | (401) all_0_49_49 = e0 | all_0_57_57 = e0 % 33.04/9.07 | % 33.04/9.07 +-Applying beta-rule and splitting (50), into two cases. % 33.04/9.07 |-Branch one: % 33.04/9.07 | (2307) all_0_56_56 = e0 % 33.04/9.07 | % 33.04/9.07 | Equations (2307) can reduce 149 to: % 33.04/9.07 | (78) ~ (all_0_52_52 = e0) % 33.04/9.07 | % 33.04/9.07 | Equations (2307) can reduce 42 to: % 33.04/9.07 | (411) ~ (all_0_59_59 = e0) % 33.04/9.07 | % 33.04/9.07 | Simplifying 411 yields: % 33.04/9.07 | (216) ~ (all_0_59_59 = e0) % 33.04/9.07 | % 33.04/9.07 | Equations (2307) can reduce 174 to: % 33.04/9.07 | (413) ~ (all_0_60_60 = e0) % 33.04/9.07 | % 33.04/9.07 | Simplifying 413 yields: % 33.04/9.07 | (414) ~ (all_0_60_60 = e0) % 33.04/9.07 | % 33.04/9.07 | Equations (2307) can reduce 594 to: % 33.04/9.07 | (335) ~ (e2 = e0) % 33.04/9.07 | % 33.04/9.07 | Simplifying 335 yields: % 33.04/9.07 | (51) ~ (e2 = e0) % 33.04/9.07 | % 33.04/9.07 | From (2307) and (125) follows: % 33.04/9.07 | (8998) op(e0, e0) = all_0_31_31 % 33.04/9.07 | % 33.04/9.07 +-Applying beta-rule and splitting (401), into two cases. % 33.04/9.07 |-Branch one: % 33.04/9.07 | (384) all_0_49_49 = e0 % 33.04/9.07 | % 33.04/9.07 | Equations (384) can reduce 177 to: % 33.04/9.07 | (326) ~ (all_0_41_41 = e0) % 33.04/9.07 | % 33.04/9.07 | Equations (384) can reduce 160 to: % 33.04/9.07 | (5945) ~ (all_0_51_51 = e0) % 33.04/9.07 | % 33.04/9.07 | Simplifying 5945 yields: % 33.04/9.07 | (2347) ~ (all_0_51_51 = e0) % 33.04/9.07 | % 33.04/9.07 | Equations (384) can reduce 2167 to: % 33.04/9.07 | (335) ~ (e2 = e0) % 33.04/9.07 | % 33.04/9.07 | Simplifying 335 yields: % 33.04/9.07 | (51) ~ (e2 = e0) % 33.04/9.07 | % 33.04/9.07 | From (384) and (65) follows: % 33.04/9.07 | (2548) op(e0, e3) = all_0_18_18 % 33.04/9.07 | % 33.04/9.07 | From (384) and (94) follows: % 33.04/9.07 | (2550) op(e2, e3) = e0 % 33.04/9.07 | % 33.04/9.07 +-Applying beta-rule and splitting (56), into two cases. % 33.04/9.07 |-Branch one: % 33.04/9.07 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 33.04/9.07 | % 33.04/9.07 +-Applying beta-rule and splitting (480), into two cases. % 33.04/9.07 |-Branch one: % 33.04/9.07 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 33.04/9.07 | % 33.04/9.07 +-Applying beta-rule and splitting (481), into two cases. % 33.04/9.07 |-Branch one: % 33.04/9.07 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 33.04/9.07 | % 33.04/9.07 +-Applying beta-rule and splitting (482), into two cases. % 33.04/9.07 |-Branch one: % 33.04/9.07 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 33.04/9.07 | % 33.04/9.07 | Applying alpha-rule on (483) yields: % 33.04/9.07 | (484) ~ (unit = e4) % 33.04/9.07 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 33.04/9.07 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 33.04/9.07 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 33.04/9.07 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 33.04/9.07 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 33.04/9.07 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 33.04/9.07 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 33.04/9.07 | (492) ~ (all_0_55_55 = e4) % 33.04/9.07 | (493) all_0_45_45 = e3 % 33.04/9.07 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 33.04/9.07 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 33.04/9.07 | % 33.04/9.07 +-Applying beta-rule and splitting (489), into two cases. % 33.04/9.07 |-Branch one: % 33.04/9.07 | (3161) ~ (all_0_58_58 = e4) % 33.04/9.07 | % 33.04/9.07 | Equations (344) can reduce 3161 to: % 33.04/9.07 | (303) $false % 33.04/9.07 | % 33.04/9.07 |-The branch is then unsatisfiable % 33.04/9.07 |-Branch two: % 33.04/9.07 | (344) all_0_58_58 = e4 % 33.04/9.07 | (580) all_0_56_56 = e2 % 33.04/9.07 | % 33.04/9.07 | Combining equations (580,2307) yields a new equation: % 33.04/9.07 | (403) e2 = e0 % 33.04/9.07 | % 33.04/9.07 | Simplifying 403 yields: % 33.04/9.07 | (385) e2 = e0 % 33.04/9.07 | % 33.04/9.07 | Equations (385) can reduce 51 to: % 33.04/9.07 | (303) $false % 33.04/9.07 | % 33.04/9.07 |-The branch is then unsatisfiable % 33.04/9.07 |-Branch two: % 33.04/9.07 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 33.04/9.07 | % 33.04/9.07 | Applying alpha-rule on (499) yields: % 33.04/9.07 | (500) ~ (all_0_51_51 = e1) % 33.04/9.07 | (501) ~ (all_0_60_60 = e1) % 33.04/9.07 | (502) ~ (all_0_52_52 = e1) % 33.04/9.07 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 33.04/9.07 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 33.04/9.07 | (252) all_0_46_46 = e2 % 33.04/9.07 | (506) ~ (all_0_49_49 = e1) % 33.04/9.07 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 33.04/9.07 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 33.04/9.07 | (509) ~ (all_0_53_53 = e1) % 33.04/9.07 | (510) ~ (unit = e1) % 33.04/9.07 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 33.04/9.07 | (512) ~ (all_0_44_44 = e1) % 33.04/9.07 | % 33.04/9.07 +-Applying beta-rule and splitting (24), into two cases. % 33.04/9.07 |-Branch one: % 33.04/9.07 | (980) all_0_52_52 = e2 % 33.04/9.07 | % 33.04/9.07 | Equations (980) can reduce 273 to: % 33.04/9.07 | (303) $false % 33.04/9.07 | % 33.04/9.07 |-The branch is then unsatisfiable % 33.04/9.07 |-Branch two: % 33.04/9.07 | (273) ~ (all_0_52_52 = e2) % 33.04/9.07 | (1772) all_0_52_52 = e4 | all_0_52_52 = e3 | all_0_52_52 = e1 % 33.04/9.07 | % 33.04/9.07 +-Applying beta-rule and splitting (1772), into two cases. % 33.04/9.07 |-Branch one: % 33.04/9.07 | (442) all_0_52_52 = e4 % 33.04/9.07 | % 33.04/9.07 | Equations (442) can reduce 188 to: % 33.04/9.07 | (844) ~ (all_0_40_40 = e4) % 33.04/9.07 | % 33.04/9.07 | Equations (442) can reduce 108 to: % 33.04/9.07 | (721) ~ (all_0_48_48 = e4) % 33.04/9.07 | % 33.04/9.07 | Equations (442) can reduce 169 to: % 33.04/9.07 | (6955) ~ (all_0_55_55 = e4) % 33.04/9.07 | % 33.04/9.07 | Simplifying 6955 yields: % 33.04/9.07 | (492) ~ (all_0_55_55 = e4) % 33.04/9.07 | % 33.04/9.07 | Equations (442) can reduce 502 to: % 33.04/9.07 | (247) ~ (e4 = e1) % 33.04/9.07 | % 33.04/9.07 | Equations (442) can reduce 78 to: % 33.04/9.07 | (4) ~ (e4 = e0) % 33.04/9.07 | % 33.04/9.07 | From (442) and (45) follows: % 33.04/9.07 | (2564) op(e4, e4) = all_0_24_24 % 33.04/9.07 | % 33.04/9.07 | From (442) and (152) follows: % 33.04/9.07 | (649) op(e1, e4) = e4 % 33.04/9.07 | % 33.04/9.07 +-Applying beta-rule and splitting (27), into two cases. % 33.04/9.07 |-Branch one: % 33.04/9.07 | (705) all_0_44_44 = e1 % 33.04/9.07 | % 33.04/9.07 | Equations (705) can reduce 512 to: % 33.04/9.07 | (303) $false % 33.04/9.07 | % 33.04/9.07 |-The branch is then unsatisfiable % 33.04/9.07 |-Branch two: % 33.04/9.07 | (512) ~ (all_0_44_44 = e1) % 33.04/9.07 | (1589) all_0_51_51 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1 % 33.04/9.07 | % 33.04/9.07 +-Applying beta-rule and splitting (85), into two cases. % 33.04/9.07 |-Branch one: % 33.04/9.07 | (1070) all_0_52_52 = e1 % 33.04/9.07 | % 33.04/9.07 | Combining equations (1070,442) yields a new equation: % 33.04/9.07 | (541) e4 = e1 % 33.04/9.07 | % 33.04/9.07 | Equations (541) can reduce 247 to: % 33.04/9.07 | (303) $false % 33.04/9.07 | % 33.04/9.07 |-The branch is then unsatisfiable % 33.04/9.07 |-Branch two: % 33.04/9.07 | (502) ~ (all_0_52_52 = e1) % 33.04/9.07 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 33.04/9.07 | % 33.04/9.07 +-Applying beta-rule and splitting (220), into two cases. % 33.04/9.07 |-Branch one: % 33.04/9.07 | (913) all_0_60_60 = e2 % 33.04/9.07 | % 33.04/9.07 | Equations (913) can reduce 571 to: % 33.04/9.07 | (303) $false % 33.04/9.07 | % 33.04/9.07 |-The branch is then unsatisfiable % 33.04/9.07 |-Branch two: % 33.04/9.07 | (571) ~ (all_0_60_60 = e2) % 33.04/9.07 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 33.04/9.07 | % 33.04/9.07 +-Applying beta-rule and splitting (1275), into two cases. % 33.04/9.07 |-Branch one: % 33.04/9.07 | (1510) all_0_60_60 = e4 % 33.04/9.07 | % 33.04/9.07 | Equations (1510) can reduce 350 to: % 33.04/9.07 | (303) $false % 33.04/9.07 | % 33.04/9.07 |-The branch is then unsatisfiable % 33.04/9.07 |-Branch two: % 33.04/9.07 | (350) ~ (all_0_60_60 = e4) % 33.04/9.07 | (1906) all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 33.04/9.07 | % 33.04/9.07 +-Applying beta-rule and splitting (1906), into two cases. % 33.04/9.07 |-Branch one: % 33.04/9.07 | (604) all_0_60_60 = e1 % 33.04/9.07 | % 33.04/9.07 | Equations (604) can reduce 501 to: % 33.04/9.07 | (303) $false % 33.04/9.07 | % 33.04/9.07 |-The branch is then unsatisfiable % 33.04/9.07 |-Branch two: % 33.04/9.07 | (501) ~ (all_0_60_60 = e1) % 33.04/9.07 | (1933) all_0_60_60 = e3 | all_0_60_60 = e0 % 33.04/9.07 | % 33.04/9.07 +-Applying beta-rule and splitting (1933), into two cases. % 33.04/9.07 |-Branch one: % 33.04/9.07 | (1934) all_0_60_60 = e0 % 33.04/9.07 | % 33.04/9.07 | Equations (1934) can reduce 414 to: % 33.04/9.07 | (303) $false % 33.04/9.07 | % 33.04/9.07 |-The branch is then unsatisfiable % 33.04/9.07 |-Branch two: % 33.04/9.07 | (414) ~ (all_0_60_60 = e0) % 33.04/9.07 | (1937) all_0_60_60 = e3 % 33.04/9.07 | % 33.04/9.07 | Equations (1937) can reduce 95 to: % 33.04/9.07 | (32) ~ (all_0_51_51 = e3) % 33.04/9.07 | % 33.04/9.07 | Equations (1937) can reduce 159 to: % 33.04/9.07 | (314) ~ (all_0_55_55 = e3) % 33.04/9.07 | % 33.04/9.08 | Equations (1937) can reduce 164 to: % 33.04/9.08 | (1031) ~ (all_0_59_59 = e3) % 33.04/9.08 | % 33.04/9.08 | Equations (1937) can reduce 350 to: % 33.04/9.08 | (439) ~ (e4 = e3) % 33.04/9.08 | % 33.04/9.08 | Simplifying 439 yields: % 33.04/9.08 | (30) ~ (e4 = e3) % 33.04/9.08 | % 33.04/9.08 | Equations (1937) can reduce 501 to: % 33.04/9.08 | (136) ~ (e3 = e1) % 33.04/9.08 | % 33.04/9.08 | From (1937) and (170) follows: % 33.04/9.08 | (9088) op(e0, e0) = e3 % 33.04/9.08 | % 33.04/9.08 +-Applying beta-rule and splitting (137), into two cases. % 33.04/9.08 |-Branch one: % 33.04/9.08 | (447) all_0_43_43 = e3 % 33.04/9.08 | % 33.04/9.08 | Equations (447) can reduce 8 to: % 33.04/9.08 | (432) ~ (all_0_40_40 = e3) % 33.04/9.08 | % 33.04/9.08 | Equations (447) can reduce 43 to: % 33.04/9.08 | (996) ~ (all_0_41_41 = e3) % 33.04/9.08 | % 33.04/9.08 | From (447) and (99) follows: % 33.04/9.08 | (3298) op(e3, e1) = all_0_6_6 % 33.04/9.08 | % 33.04/9.08 +-Applying beta-rule and splitting (508), into two cases. % 33.04/9.08 |-Branch one: % 33.04/9.08 | (683) ~ (all_0_40_40 = e1) % 33.04/9.08 | % 33.04/9.08 +-Applying beta-rule and splitting (139), into two cases. % 33.04/9.08 |-Branch one: % 33.04/9.08 | (614) all_0_43_43 = e4 % 33.04/9.08 | % 33.04/9.08 | Combining equations (447,614) yields a new equation: % 33.04/9.08 | (443) e4 = e3 % 33.04/9.08 | % 33.04/9.08 | Equations (443) can reduce 30 to: % 33.04/9.08 | (303) $false % 33.04/9.08 | % 33.04/9.08 |-The branch is then unsatisfiable % 33.04/9.08 |-Branch two: % 33.04/9.08 | (712) ~ (all_0_43_43 = e4) % 33.04/9.08 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 33.04/9.08 | % 33.04/9.08 | Equations (447) can reduce 712 to: % 33.04/9.08 | (439) ~ (e4 = e3) % 33.04/9.08 | % 33.04/9.08 | Simplifying 439 yields: % 33.04/9.08 | (30) ~ (e4 = e3) % 33.04/9.08 | % 33.04/9.08 +-Applying beta-rule and splitting (237), into two cases. % 33.04/9.08 |-Branch one: % 33.04/9.08 | (431) all_0_41_41 = e3 % 33.04/9.08 | % 33.04/9.08 | Equations (431) can reduce 996 to: % 33.04/9.08 | (303) $false % 33.04/9.08 | % 33.04/9.08 |-The branch is then unsatisfiable % 33.04/9.08 |-Branch two: % 33.04/9.08 | (996) ~ (all_0_41_41 = e3) % 33.04/9.08 | (997) all_0_53_53 = e3 | all_0_57_57 = e3 % 33.04/9.08 | % 33.04/9.08 +-Applying beta-rule and splitting (21), into two cases. % 33.04/9.08 |-Branch one: % 33.04/9.08 | (723) all_0_40_40 = e4 % 33.04/9.08 | % 33.04/9.08 | Equations (723) can reduce 844 to: % 33.04/9.08 | (303) $false % 33.04/9.08 | % 33.04/9.08 |-The branch is then unsatisfiable % 33.04/9.08 |-Branch two: % 33.04/9.08 | (844) ~ (all_0_40_40 = e4) % 33.04/9.08 | (6577) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 33.04/9.08 | % 33.04/9.08 +-Applying beta-rule and splitting (6577), into two cases. % 33.04/9.08 |-Branch one: % 33.04/9.08 | (3175) all_0_42_42 = e4 % 33.04/9.08 | % 33.04/9.08 | Combining equations (324,3175) yields a new equation: % 33.04/9.08 | (654) e4 = e0 % 33.04/9.08 | % 33.04/9.08 | Equations (654) can reduce 4 to: % 33.04/9.08 | (303) $false % 33.04/9.08 | % 33.04/9.08 |-The branch is then unsatisfiable % 33.04/9.08 |-Branch two: % 33.04/9.08 | (6245) ~ (all_0_42_42 = e4) % 33.04/9.08 | (6600) all_0_43_43 = e4 | all_0_44_44 = e4 % 33.04/9.08 | % 33.04/9.08 +-Applying beta-rule and splitting (6600), into two cases. % 33.04/9.08 |-Branch one: % 33.04/9.08 | (614) all_0_43_43 = e4 % 33.04/9.08 | % 33.04/9.08 | Combining equations (447,614) yields a new equation: % 33.04/9.08 | (443) e4 = e3 % 33.04/9.08 | % 33.04/9.08 | Equations (443) can reduce 30 to: % 33.04/9.08 | (303) $false % 33.04/9.08 | % 33.04/9.08 |-The branch is then unsatisfiable % 33.04/9.08 |-Branch two: % 33.04/9.08 | (712) ~ (all_0_43_43 = e4) % 33.04/9.08 | (1096) all_0_44_44 = e4 % 33.04/9.08 | % 33.04/9.08 | Equations (1096) can reduce 124 to: % 33.04/9.08 | (844) ~ (all_0_40_40 = e4) % 33.04/9.08 | % 33.04/9.08 | Equations (1096) can reduce 161 to: % 33.04/9.08 | (6435) ~ (all_0_51_51 = e4) % 33.04/9.08 | % 33.04/9.08 | Simplifying 6435 yields: % 33.04/9.08 | (1504) ~ (all_0_51_51 = e4) % 33.04/9.08 | % 33.04/9.08 | Equations (1096) can reduce 59 to: % 33.04/9.08 | (6955) ~ (all_0_55_55 = e4) % 33.04/9.08 | % 33.04/9.08 | Simplifying 6955 yields: % 33.04/9.08 | (492) ~ (all_0_55_55 = e4) % 33.04/9.08 | % 33.04/9.08 | From (1096) and (235) follows: % 33.04/9.08 | (2558) op(e4, e4) = all_0_7_7 % 33.04/9.08 | % 33.04/9.08 +-Applying beta-rule and splitting (166), into two cases. % 33.04/9.08 |-Branch one: % 33.04/9.08 | (927) all_0_51_51 = e2 % 33.04/9.08 | % 33.04/9.08 | Equations (927) can reduce 171 to: % 33.04/9.08 | (258) ~ (all_0_50_50 = e2) % 33.04/9.08 | % 33.04/9.08 | Equations (927) can reduce 13 to: % 33.04/9.08 | (275) ~ (all_0_55_55 = e2) % 33.04/9.08 | % 33.04/9.08 | Simplifying 275 yields: % 33.04/9.08 | (276) ~ (all_0_55_55 = e2) % 33.04/9.08 | % 33.04/9.08 | Equations (927) can reduce 1504 to: % 33.04/9.08 | (261) ~ (e4 = e2) % 33.04/9.08 | % 33.04/9.08 | Simplifying 261 yields: % 33.04/9.08 | (231) ~ (e4 = e2) % 33.04/9.08 | % 33.04/9.08 | Equations (927) can reduce 32 to: % 33.04/9.08 | (577) ~ (e3 = e2) % 33.04/9.08 | % 33.04/9.08 | Simplifying 577 yields: % 33.04/9.08 | (223) ~ (e3 = e2) % 33.04/9.08 | % 33.04/9.08 | Equations (927) can reduce 2347 to: % 33.04/9.08 | (51) ~ (e2 = e0) % 33.04/9.08 | % 33.04/9.08 | From (927) and (122) follows: % 33.04/9.08 | (2490) op(e2, e2) = all_0_21_21 % 33.04/9.08 | % 33.04/9.08 +-Applying beta-rule and splitting (157), into two cases. % 33.04/9.08 |-Branch one: % 33.04/9.08 | (917) all_0_40_40 = e2 % 33.04/9.08 | % 33.04/9.08 | Equations (917) can reduce 151 to: % 33.04/9.08 | (5977) ~ (all_0_41_41 = e2) % 33.04/9.08 | % 33.04/9.08 | Simplifying 5977 yields: % 33.04/9.08 | (369) ~ (all_0_41_41 = e2) % 33.04/9.08 | % 33.04/9.08 | Equations (917) can reduce 844 to: % 33.04/9.08 | (261) ~ (e4 = e2) % 33.04/9.08 | % 33.04/9.08 | Simplifying 261 yields: % 33.04/9.08 | (231) ~ (e4 = e2) % 33.04/9.08 | % 33.04/9.08 | Equations (917) can reduce 432 to: % 33.04/9.08 | (577) ~ (e3 = e2) % 33.04/9.08 | % 33.04/9.08 | Simplifying 577 yields: % 33.04/9.08 | (223) ~ (e3 = e2) % 33.04/9.08 | % 33.04/9.08 | Equations (917) can reduce 683 to: % 33.04/9.08 | (144) ~ (e2 = e1) % 33.04/9.08 | % 33.04/9.08 | From (917) and (168) follows: % 33.04/9.08 | (1123) op(e4, e4) = e2 % 33.04/9.08 | % 33.04/9.08 +-Applying beta-rule and splitting (234), into two cases. % 33.04/9.08 |-Branch one: % 33.04/9.08 | (609) all_0_48_48 = e4 % 33.04/9.08 | % 33.04/9.08 | Equations (609) can reduce 721 to: % 33.04/9.08 | (303) $false % 33.04/9.08 | % 33.04/9.08 |-The branch is then unsatisfiable % 33.04/9.08 |-Branch two: % 33.04/9.08 | (721) ~ (all_0_48_48 = e4) % 33.04/9.08 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 33.04/9.08 | % 33.04/9.08 +-Applying beta-rule and splitting (722), into two cases. % 33.04/9.08 |-Branch one: % 33.04/9.08 | (714) all_0_50_50 = e4 % 33.04/9.08 | % 33.04/9.08 | From (714) and (129) follows: % 33.04/9.08 | (2616) op(e4, e2) = all_0_19_19 % 33.04/9.08 | % 33.04/9.08 +-Applying beta-rule and splitting (180), into two cases. % 33.04/9.08 |-Branch one: % 33.04/9.08 | (945) all_0_41_41 = e2 % 33.04/9.08 | % 33.04/9.08 | Equations (945) can reduce 369 to: % 33.04/9.08 | (303) $false % 33.04/9.08 | % 33.04/9.08 |-The branch is then unsatisfiable % 33.04/9.08 |-Branch two: % 33.04/9.08 | (369) ~ (all_0_41_41 = e2) % 33.04/9.08 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 33.04/9.08 | % 33.04/9.08 +-Applying beta-rule and splitting (153), into two cases. % 33.04/9.08 |-Branch one: % 33.04/9.08 | (932) all_0_55_55 = e2 % 33.04/9.08 | % 33.04/9.08 | Equations (932) can reduce 276 to: % 33.04/9.08 | (303) $false % 33.04/9.08 | % 33.04/9.08 |-The branch is then unsatisfiable % 33.04/9.08 |-Branch two: % 33.04/9.08 | (276) ~ (all_0_55_55 = e2) % 33.04/9.08 | (1809) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 % 33.04/9.08 | % 33.04/9.08 +-Applying beta-rule and splitting (175), into two cases. % 33.04/9.08 |-Branch one: % 33.04/9.08 | (624) all_0_40_40 = e1 % 33.04/9.08 | % 33.04/9.08 | Combining equations (624,917) yields a new equation: % 33.04/9.08 | (585) e2 = e1 % 33.04/9.08 | % 33.04/9.08 | Equations (585) can reduce 144 to: % 33.04/9.08 | (303) $false % 33.04/9.08 | % 33.04/9.08 |-The branch is then unsatisfiable % 33.04/9.08 |-Branch two: % 33.04/9.08 | (683) ~ (all_0_40_40 = e1) % 33.04/9.08 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 33.04/9.08 | % 33.04/9.08 | Equations (917) can reduce 683 to: % 33.04/9.08 | (144) ~ (e2 = e1) % 33.04/9.08 | % 33.04/9.08 +-Applying beta-rule and splitting (1589), into two cases. % 33.04/9.08 |-Branch one: % 33.04/9.08 | (1590) all_0_51_51 = e1 % 33.04/9.08 | % 33.04/9.08 | Combining equations (927,1590) yields a new equation: % 33.04/9.08 | (584) e2 = e1 % 33.04/9.08 | % 33.04/9.08 | Simplifying 584 yields: % 33.04/9.08 | (585) e2 = e1 % 33.04/9.08 | % 33.04/9.08 | Equations (585) can reduce 144 to: % 33.04/9.08 | (303) $false % 33.04/9.08 | % 33.04/9.08 |-The branch is then unsatisfiable % 33.04/9.08 |-Branch two: % 33.04/9.08 | (500) ~ (all_0_51_51 = e1) % 33.04/9.08 | (1594) all_0_55_55 = e1 | all_0_60_60 = e1 % 33.04/9.08 | % 33.04/9.08 +-Applying beta-rule and splitting (221), into two cases. % 33.04/9.08 |-Branch one: % 33.04/9.08 | (696) all_0_41_41 = e1 % 33.04/9.08 | % 33.04/9.08 | Equations (696) can reduce 996 to: % 33.04/9.08 | (465) ~ (e3 = e1) % 33.04/9.08 | % 33.04/9.08 | Simplifying 465 yields: % 33.04/9.08 | (136) ~ (e3 = e1) % 33.04/9.08 | % 33.04/9.08 | From (696) and (211) follows: % 33.04/9.08 | (6426) op(e1, e4) = all_0_1_1 % 33.04/9.08 | % 33.04/9.08 +-Applying beta-rule and splitting (684), into two cases. % 33.04/9.08 |-Branch one: % 33.04/9.08 | (748) all_0_48_48 = e1 % 33.04/9.08 | % 33.04/9.08 | Equations (748) can reduce 34 to: % 33.04/9.08 | (465) ~ (e3 = e1) % 33.04/9.08 | % 33.04/9.08 | Simplifying 465 yields: % 33.04/9.08 | (136) ~ (e3 = e1) % 33.04/9.08 | % 33.04/9.08 | From (748) and (187) follows: % 33.04/9.08 | (2611) op(e1, e4) = all_0_16_16 % 33.04/9.08 | % 33.04/9.08 | From (748) and (103) follows: % 33.04/9.08 | (2612) op(e1, e2) = all_0_15_15 % 33.04/9.08 | % 33.04/9.08 +-Applying beta-rule and splitting (1594), into two cases. % 33.04/9.08 |-Branch one: % 33.04/9.08 | (530) all_0_55_55 = e1 % 33.04/9.08 | % 33.04/9.08 | Equations (530) can reduce 131 to: % 33.04/9.08 | (509) ~ (all_0_53_53 = e1) % 33.04/9.08 | % 33.04/9.08 | Equations (530) can reduce 276 to: % 33.04/9.08 | (565) ~ (e2 = e1) % 33.04/9.08 | % 33.04/9.08 | Simplifying 565 yields: % 33.04/9.08 | (144) ~ (e2 = e1) % 33.04/9.08 | % 33.04/9.08 | Equations (530) can reduce 93 to: % 33.04/9.08 | (134) ~ (e1 = e0) % 33.04/9.08 | % 33.04/9.08 +-Applying beta-rule and splitting (997), into two cases. % 33.04/9.08 |-Branch one: % 33.04/9.08 | (994) all_0_53_53 = e3 % 33.04/9.08 | % 33.04/9.08 | Equations (994) can reduce 509 to: % 33.04/9.08 | (136) ~ (e3 = e1) % 33.04/9.08 | % 33.04/9.08 | From (994) and (54) follows: % 33.04/9.08 | (2593) op(e3, e1) = all_0_25_25 % 33.04/9.08 | % 33.04/9.08 +-Applying beta-rule and splitting (245), into two cases. % 33.04/9.08 |-Branch one: % 33.04/9.08 | (583) all_0_56_56 = e1 % 33.04/9.08 | % 33.04/9.08 | Combining equations (2307,583) yields a new equation: % 33.04/9.08 | (590) e1 = e0 % 33.04/9.08 | % 33.04/9.08 | Equations (590) can reduce 134 to: % 33.04/9.08 | (303) $false % 33.04/9.08 | % 33.04/9.08 |-The branch is then unsatisfiable % 33.04/9.08 |-Branch two: % 33.04/9.08 | (587) ~ (all_0_56_56 = e1) % 33.04/9.08 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 33.04/9.08 | % 33.04/9.08 +-Applying beta-rule and splitting (100), into two cases. % 33.04/9.08 |-Branch one: % 33.04/9.08 | (618) all_0_43_43 = e1 % 33.04/9.08 | % 33.04/9.08 | Combining equations (447,618) yields a new equation: % 33.04/9.08 | (680) e3 = e1 % 33.04/9.08 | % 33.04/9.08 | Simplifying 680 yields: % 33.04/9.08 | (601) e3 = e1 % 33.04/9.08 | % 33.04/9.08 | Equations (601) can reduce 136 to: % 33.04/9.08 | (303) $false % 33.04/9.08 | % 33.04/9.08 |-The branch is then unsatisfiable % 33.04/9.08 |-Branch two: % 33.04/9.08 | (622) ~ (all_0_43_43 = e1) % 33.04/9.08 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 33.04/9.08 | % 33.04/9.08 | Equations (447) can reduce 622 to: % 33.04/9.08 | (136) ~ (e3 = e1) % 33.04/9.08 | % 33.04/9.08 +-Applying beta-rule and splitting (588), into two cases. % 33.04/9.08 |-Branch one: % 33.04/9.08 | (589) all_0_57_57 = e1 % 33.04/9.08 | % 33.04/9.08 | Combining equations (897,589) yields a new equation: % 33.04/9.08 | (584) e2 = e1 % 33.04/9.08 | % 33.04/9.08 | Simplifying 584 yields: % 33.04/9.08 | (585) e2 = e1 % 33.04/9.08 | % 33.04/9.08 | Equations (585) can reduce 144 to: % 33.04/9.08 | (303) $false % 33.04/9.08 | % 33.04/9.08 |-The branch is then unsatisfiable % 33.04/9.08 |-Branch two: % 33.04/9.08 | (592) ~ (all_0_57_57 = e1) % 33.04/9.09 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 33.04/9.09 | % 33.04/9.09 +-Applying beta-rule and splitting (593), into two cases. % 33.04/9.09 |-Branch one: % 33.04/9.09 | (600) all_0_59_59 = e1 % 33.04/9.09 | % 33.04/9.09 | Equations (600) can reduce 216 to: % 33.04/9.09 | (134) ~ (e1 = e0) % 33.04/9.09 | % 33.04/9.09 | Instantiating formula (29) with e4, e4, all_0_24_24, all_0_7_7 and discharging atoms op(e4, e4) = all_0_7_7, op(e4, e4) = all_0_24_24, yields: % 33.04/9.09 | (2618) all_0_7_7 = all_0_24_24 % 33.04/9.09 | % 33.04/9.09 | Instantiating formula (29) with e4, e4, e2, all_0_7_7 and discharging atoms op(e4, e4) = all_0_7_7, op(e4, e4) = e2, yields: % 33.04/9.09 | (5545) all_0_7_7 = e2 % 33.04/9.09 | % 33.04/9.09 | Instantiating formula (29) with e4, e2, all_0_19_19, e0 and discharging atoms op(e4, e2) = all_0_19_19, op(e4, e2) = e0, yields: % 33.04/9.09 | (2619) all_0_19_19 = e0 % 33.04/9.09 | % 33.04/9.09 | Instantiating formula (29) with e3, e1, all_0_6_6, e2 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = e2, yields: % 33.04/9.09 | (3326) all_0_6_6 = e2 % 33.04/9.09 | % 33.04/9.09 | Instantiating formula (29) with e3, e1, all_0_25_25, all_0_6_6 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = all_0_25_25, yields: % 33.04/9.09 | (6038) all_0_6_6 = all_0_25_25 % 33.04/9.09 | % 33.04/9.09 | Instantiating formula (29) with e2, e3, e0, all_0_34_34 and discharging atoms op(e2, e3) = all_0_34_34, op(e2, e3) = e0, yields: % 33.04/9.09 | (421) all_0_34_34 = e0 % 33.04/9.09 | % 33.04/9.09 | Instantiating formula (29) with e2, e2, all_0_21_21, e3 and discharging atoms op(e2, e2) = all_0_21_21, op(e2, e2) = e3, yields: % 33.04/9.09 | (2622) all_0_21_21 = e3 % 33.04/9.09 | % 33.04/9.09 | Instantiating formula (29) with e1, e4, all_0_16_16, all_0_1_1 and discharging atoms op(e1, e4) = all_0_1_1, op(e1, e4) = all_0_16_16, yields: % 33.04/9.09 | (9214) all_0_1_1 = all_0_16_16 % 33.04/9.09 | % 33.04/9.09 | Instantiating formula (29) with e1, e4, e4, all_0_1_1 and discharging atoms op(e1, e4) = all_0_1_1, op(e1, e4) = e4, yields: % 33.04/9.09 | (9215) all_0_1_1 = e4 % 33.04/9.09 | % 33.04/9.09 | Instantiating formula (29) with e1, e2, all_0_15_15, e2 and discharging atoms op(e1, e2) = all_0_15_15, op(e1, e2) = e2, yields: % 33.04/9.09 | (2624) all_0_15_15 = e2 % 33.04/9.09 | % 33.04/9.09 | Instantiating formula (29) with e0, e3, e2, all_0_18_18 and discharging atoms op(e0, e3) = all_0_18_18, op(e0, e3) = e2, yields: % 33.04/9.09 | (3563) all_0_18_18 = e2 % 33.04/9.09 | % 33.04/9.09 | Instantiating formula (29) with e0, e0, e3, all_0_31_31 and discharging atoms op(e0, e0) = all_0_31_31, op(e0, e0) = e3, yields: % 33.04/9.09 | (9218) all_0_31_31 = e3 % 33.04/9.09 | % 33.04/9.09 | Combining equations (9214,9215) yields a new equation: % 33.04/9.09 | (9219) all_0_16_16 = e4 % 33.04/9.09 | % 33.04/9.09 | Simplifying 9219 yields: % 33.04/9.09 | (2623) all_0_16_16 = e4 % 33.04/9.09 | % 33.04/9.09 | Combining equations (3326,6038) yields a new equation: % 33.04/9.09 | (2621) all_0_25_25 = e2 % 33.04/9.09 | % 33.04/9.09 | Combining equations (5545,2618) yields a new equation: % 33.04/9.09 | (9222) all_0_24_24 = e2 % 33.04/9.09 | % 33.04/9.09 | From (9222) and (2564) follows: % 33.04/9.09 | (1123) op(e4, e4) = e2 % 33.04/9.09 | % 33.04/9.09 | From (2619) and (2616) follows: % 33.04/9.09 | (339) op(e4, e2) = e0 % 33.04/9.09 | % 33.04/9.09 | From (2621) and (2593) follows: % 33.04/9.09 | (266) op(e3, e1) = e2 % 33.04/9.09 | % 33.04/9.09 | From (421) and (5860) follows: % 33.04/9.09 | (2550) op(e2, e3) = e0 % 33.04/9.09 | % 33.04/9.09 | From (2622) and (2490) follows: % 33.04/9.09 | (83) op(e2, e2) = e3 % 33.04/9.09 | % 33.04/9.09 | From (2623) and (2611) follows: % 33.04/9.09 | (649) op(e1, e4) = e4 % 33.04/9.09 | % 33.04/9.09 | From (2624) and (2612) follows: % 33.04/9.09 | (282) op(e1, e2) = e2 % 33.04/9.09 | % 33.04/9.09 | From (3563) and (2548) follows: % 33.04/9.09 | (2880) op(e0, e3) = e2 % 33.04/9.09 | % 33.04/9.09 | From (9218) and (8998) follows: % 33.04/9.09 | (9088) op(e0, e0) = e3 % 33.04/9.09 | % 33.04/9.09 +-Applying beta-rule and splitting (62), into two cases. % 33.04/9.09 |-Branch one: % 33.04/9.09 | (631) unit = e2 % 33.04/9.09 | % 33.04/9.09 | From (631) and (232) follows: % 33.04/9.09 | (2714) op(e2, e3) = e3 % 33.04/9.09 | % 33.04/9.09 | From (631) and (74) follows: % 33.04/9.09 | (2715) op(e2, e2) = e2 % 33.04/9.09 | % 33.04/9.09 | From (631) and (190) follows: % 33.04/9.09 | (2716) op(e1, e2) = e1 % 33.04/9.09 | % 33.04/9.09 | Instantiating formula (29) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields: % 33.04/9.09 | (497) e3 = e0 % 33.04/9.09 | % 33.04/9.09 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 33.04/9.09 | (453) e3 = e2 % 33.04/9.09 | % 33.04/9.09 | Instantiating formula (29) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 33.04/9.09 | (585) e2 = e1 % 33.04/9.09 | % 33.04/9.09 | Combining equations (453,497) yields a new equation: % 33.04/9.09 | (403) e2 = e0 % 33.04/9.09 | % 33.04/9.09 | Simplifying 403 yields: % 33.04/9.09 | (385) e2 = e0 % 33.04/9.09 | % 33.04/9.09 | Combining equations (385,585) yields a new equation: % 33.04/9.09 | (590) e1 = e0 % 33.04/9.09 | % 33.04/9.09 | Equations (590) can reduce 134 to: % 33.04/9.09 | (303) $false % 33.04/9.09 | % 33.04/9.09 |-The branch is then unsatisfiable % 33.04/9.09 |-Branch two: % 33.04/9.09 | (599) ~ (unit = e2) % 33.04/9.09 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 33.04/9.09 | % 33.04/9.09 +-Applying beta-rule and splitting (634), into two cases. % 33.04/9.09 |-Branch one: % 33.04/9.09 | (635) unit = e4 % 33.04/9.09 | % 33.04/9.09 | From (635) and (147) follows: % 33.04/9.09 | (1176) op(e4, e2) = e2 % 33.04/9.09 | % 33.04/9.09 | From (635) and (130) follows: % 33.04/9.09 | (1177) op(e4, e4) = e4 % 33.04/9.09 | % 33.04/9.09 | From (635) and (190) follows: % 33.04/9.09 | (1178) op(e1, e4) = e1 % 33.04/9.09 | % 33.04/9.09 | Instantiating formula (29) with e4, e4, e4, e2 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e2, yields: % 33.04/9.09 | (470) e4 = e2 % 33.04/9.09 | % 33.04/9.09 | Instantiating formula (29) with e4, e2, e2, e0 and discharging atoms op(e4, e2) = e2, op(e4, e2) = e0, yields: % 33.04/9.09 | (385) e2 = e0 % 33.04/9.09 | % 33.04/9.09 | Instantiating formula (29) with e1, e4, e1, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields: % 33.04/9.10 | (541) e4 = e1 % 33.04/9.10 | % 33.04/9.10 | Combining equations (470,541) yields a new equation: % 33.04/9.10 | (584) e2 = e1 % 33.04/9.10 | % 33.04/9.10 | Simplifying 584 yields: % 33.04/9.10 | (585) e2 = e1 % 33.04/9.10 | % 33.04/9.10 | Combining equations (385,585) yields a new equation: % 33.04/9.10 | (590) e1 = e0 % 33.04/9.10 | % 33.04/9.10 | Equations (590) can reduce 134 to: % 33.04/9.10 | (303) $false % 33.04/9.10 | % 33.04/9.10 |-The branch is then unsatisfiable % 33.04/9.10 |-Branch two: % 33.04/9.10 | (484) ~ (unit = e4) % 33.04/9.10 | (647) unit = e3 | unit = e1 | unit = e0 % 33.04/9.10 | % 33.04/9.10 +-Applying beta-rule and splitting (647), into two cases. % 33.04/9.10 |-Branch one: % 33.04/9.10 | (648) unit = e1 % 33.04/9.10 | % 33.04/9.10 | Equations (648) can reduce 510 to: % 33.04/9.10 | (303) $false % 33.04/9.10 | % 33.04/9.10 |-The branch is then unsatisfiable % 33.04/9.10 |-Branch two: % 33.04/9.10 | (510) ~ (unit = e1) % 33.04/9.10 | (659) unit = e3 | unit = e0 % 33.04/9.10 | % 33.04/9.10 +-Applying beta-rule and splitting (659), into two cases. % 33.04/9.10 |-Branch one: % 33.04/9.10 | (660) unit = e0 % 33.04/9.10 | % 33.04/9.10 | Equations (660) can reduce 599 to: % 33.04/9.10 | (335) ~ (e2 = e0) % 33.04/9.10 | % 33.04/9.10 | Simplifying 335 yields: % 33.04/9.10 | (51) ~ (e2 = e0) % 33.04/9.10 | % 33.04/9.10 | From (660) and (232) follows: % 33.04/9.10 | (1196) op(e0, e3) = e3 % 33.04/9.10 | % 33.04/9.10 | From (660) and (111) follows: % 33.04/9.10 | (3633) op(e0, e0) = e0 % 33.04/9.10 | % 33.04/9.10 | Instantiating formula (29) with e0, e3, e3, e2 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e2, yields: % 33.04/9.10 | (453) e3 = e2 % 33.04/9.10 | % 33.04/9.10 | Instantiating formula (29) with e0, e0, e0, e3 and discharging atoms op(e0, e0) = e3, op(e0, e0) = e0, yields: % 33.04/9.10 | (497) e3 = e0 % 33.04/9.10 | % 33.04/9.10 | Combining equations (497,453) yields a new equation: % 33.04/9.10 | (385) e2 = e0 % 33.04/9.10 | % 33.04/9.10 | Equations (385) can reduce 51 to: % 33.04/9.10 | (303) $false % 33.04/9.10 | % 33.04/9.10 |-The branch is then unsatisfiable % 33.04/9.10 |-Branch two: % 33.04/9.10 | (537) ~ (unit = e0) % 33.04/9.10 | (674) unit = e3 % 33.04/9.10 | % 33.04/9.10 | From (674) and (38) follows: % 33.04/9.10 | (675) op(e3, e1) = e1 % 33.04/9.10 | % 33.04/9.10 | From (674) and (111) follows: % 33.04/9.10 | (420) op(e0, e3) = e0 % 33.04/9.10 | % 33.04/9.10 | Instantiating formula (29) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 33.04/9.10 | (585) e2 = e1 % 33.04/9.10 | % 33.04/9.10 | Instantiating formula (29) with e0, e3, e0, e2 and discharging atoms op(e0, e3) = e2, op(e0, e3) = e0, yields: % 33.04/9.10 | (385) e2 = e0 % 33.04/9.10 | % 33.04/9.10 | Combining equations (385,585) yields a new equation: % 33.04/9.10 | (590) e1 = e0 % 33.04/9.10 | % 33.04/9.10 | Equations (590) can reduce 134 to: % 33.04/9.10 | (303) $false % 33.04/9.10 | % 33.04/9.10 |-The branch is then unsatisfiable % 33.04/9.10 |-Branch two: % 33.04/9.10 | (603) ~ (all_0_59_59 = e1) % 33.04/9.10 | (604) all_0_60_60 = e1 % 33.04/9.10 | % 33.04/9.10 | Combining equations (1937,604) yields a new equation: % 33.04/9.10 | (680) e3 = e1 % 33.04/9.10 | % 33.04/9.10 | Simplifying 680 yields: % 33.04/9.10 | (601) e3 = e1 % 33.04/9.10 | % 33.04/9.10 | Equations (601) can reduce 136 to: % 33.04/9.10 | (303) $false % 33.04/9.10 | % 33.04/9.10 |-The branch is then unsatisfiable % 33.04/9.10 |-Branch two: % 33.04/9.10 | (428) ~ (all_0_53_53 = e3) % 33.04/9.10 | (1001) all_0_57_57 = e3 % 33.04/9.10 | % 33.04/9.10 | Combining equations (897,1001) yields a new equation: % 33.04/9.10 | (453) e3 = e2 % 33.04/9.10 | % 33.04/9.10 | Equations (453) can reduce 223 to: % 33.04/9.10 | (303) $false % 33.04/9.10 | % 33.04/9.10 |-The branch is then unsatisfiable % 33.04/9.10 |-Branch two: % 33.04/9.10 | (464) ~ (all_0_55_55 = e1) % 33.04/9.10 | (604) all_0_60_60 = e1 % 33.04/9.10 | % 33.04/9.10 | Combining equations (604,1937) yields a new equation: % 33.04/9.10 | (601) e3 = e1 % 33.04/9.10 | % 33.04/9.10 | Equations (601) can reduce 136 to: % 33.04/9.10 | (303) $false % 33.04/9.10 | % 33.04/9.10 |-The branch is then unsatisfiable % 33.04/9.10 |-Branch two: % 33.04/9.10 | (802) ~ (all_0_48_48 = e1) % 33.04/9.10 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 33.04/9.10 | % 33.04/9.10 +-Applying beta-rule and splitting (1594), into two cases. % 33.04/9.10 |-Branch one: % 33.04/9.10 | (530) all_0_55_55 = e1 % 33.04/9.10 | % 33.04/9.10 | Equations (530) can reduce 492 to: % 33.04/9.10 | (605) ~ (e4 = e1) % 33.04/9.10 | % 33.04/9.10 | Simplifying 605 yields: % 33.04/9.10 | (247) ~ (e4 = e1) % 33.04/9.10 | % 33.04/9.10 | Equations (530) can reduce 93 to: % 33.04/9.10 | (134) ~ (e1 = e0) % 33.04/9.10 | % 33.04/9.10 +-Applying beta-rule and splitting (245), into two cases. % 33.04/9.10 |-Branch one: % 33.04/9.10 | (583) all_0_56_56 = e1 % 33.04/9.10 | % 33.04/9.10 | Combining equations (2307,583) yields a new equation: % 33.04/9.10 | (590) e1 = e0 % 33.04/9.10 | % 33.04/9.10 | Equations (590) can reduce 134 to: % 33.04/9.10 | (303) $false % 33.04/9.10 | % 33.04/9.10 |-The branch is then unsatisfiable % 33.04/9.10 |-Branch two: % 33.04/9.10 | (587) ~ (all_0_56_56 = e1) % 33.04/9.10 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 33.04/9.10 | % 33.04/9.10 | Equations (2307) can reduce 587 to: % 33.04/9.10 | (661) ~ (e1 = e0) % 33.04/9.10 | % 33.04/9.10 | Simplifying 661 yields: % 33.04/9.10 | (134) ~ (e1 = e0) % 33.04/9.10 | % 33.04/9.10 +-Applying beta-rule and splitting (807), into two cases. % 33.04/9.10 |-Branch one: % 33.04/9.10 | (1070) all_0_52_52 = e1 % 33.04/9.10 | % 33.04/9.10 | Combining equations (442,1070) yields a new equation: % 33.04/9.10 | (540) e4 = e1 % 33.04/9.10 | % 33.04/9.10 | Simplifying 540 yields: % 33.04/9.10 | (541) e4 = e1 % 33.04/9.10 | % 33.04/9.10 | Equations (541) can reduce 247 to: % 33.04/9.10 | (303) $false % 33.04/9.10 | % 33.13/9.10 |-The branch is then unsatisfiable % 33.13/9.10 |-Branch two: % 33.13/9.10 | (502) ~ (all_0_52_52 = e1) % 33.13/9.10 | (583) all_0_56_56 = e1 % 33.13/9.10 | % 33.13/9.10 | Combining equations (2307,583) yields a new equation: % 33.13/9.10 | (590) e1 = e0 % 33.13/9.10 | % 33.13/9.10 | Equations (590) can reduce 134 to: % 33.13/9.10 | (303) $false % 33.13/9.10 | % 33.13/9.10 |-The branch is then unsatisfiable % 33.13/9.10 |-Branch two: % 33.13/9.10 | (464) ~ (all_0_55_55 = e1) % 33.13/9.10 | (604) all_0_60_60 = e1 % 33.13/9.10 | % 33.13/9.10 | Combining equations (604,1937) yields a new equation: % 33.13/9.10 | (601) e3 = e1 % 33.13/9.10 | % 33.13/9.10 | Equations (601) can reduce 136 to: % 33.13/9.10 | (303) $false % 33.13/9.10 | % 33.13/9.10 |-The branch is then unsatisfiable % 33.13/9.10 |-Branch two: % 33.13/9.10 | (699) ~ (all_0_41_41 = e1) % 33.13/9.10 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 33.13/9.10 | % 33.13/9.10 +-Applying beta-rule and splitting (997), into two cases. % 33.13/9.10 |-Branch one: % 33.13/9.10 | (994) all_0_53_53 = e3 % 33.13/9.10 | % 33.13/9.10 | Equations (994) can reduce 121 to: % 33.13/9.10 | (996) ~ (all_0_41_41 = e3) % 33.13/9.10 | % 33.13/9.10 +-Applying beta-rule and splitting (1017), into two cases. % 33.13/9.10 |-Branch one: % 33.13/9.10 | (696) all_0_41_41 = e1 % 33.13/9.10 | % 33.13/9.10 | Equations (696) can reduce 699 to: % 33.13/9.10 | (303) $false % 33.13/9.10 | % 33.13/9.10 |-The branch is then unsatisfiable % 33.13/9.10 |-Branch two: % 33.13/9.10 | (699) ~ (all_0_41_41 = e1) % 33.13/9.10 | (2158) all_0_41_41 = e3 | all_0_41_41 = e0 % 33.13/9.10 | % 33.13/9.10 +-Applying beta-rule and splitting (2158), into two cases. % 33.13/9.10 |-Branch one: % 33.13/9.10 | (398) all_0_41_41 = e0 % 33.13/9.10 | % 33.13/9.10 | Equations (398) can reduce 326 to: % 33.13/9.10 | (303) $false % 33.13/9.10 | % 33.13/9.10 |-The branch is then unsatisfiable % 33.13/9.10 |-Branch two: % 33.13/9.10 | (326) ~ (all_0_41_41 = e0) % 33.13/9.10 | (431) all_0_41_41 = e3 % 33.13/9.10 | % 33.13/9.10 | Equations (431) can reduce 996 to: % 33.13/9.10 | (303) $false % 33.13/9.10 | % 33.13/9.10 |-The branch is then unsatisfiable % 33.13/9.10 |-Branch two: % 33.13/9.10 | (428) ~ (all_0_53_53 = e3) % 33.13/9.10 | (1001) all_0_57_57 = e3 % 33.13/9.10 | % 33.13/9.10 | Combining equations (1001,897) yields a new equation: % 33.13/9.10 | (452) e3 = e2 % 33.13/9.10 | % 33.13/9.10 | Simplifying 452 yields: % 33.13/9.10 | (453) e3 = e2 % 33.13/9.10 | % 33.13/9.10 | Equations (453) can reduce 223 to: % 33.13/9.10 | (303) $false % 33.13/9.10 | % 33.13/9.10 |-The branch is then unsatisfiable % 33.13/9.10 |-Branch two: % 33.13/9.10 | (611) ~ (all_0_50_50 = e4) % 33.13/9.10 | (1501) all_0_51_51 = e4 % 33.13/9.10 | % 33.13/9.10 | Combining equations (1501,927) yields a new equation: % 33.13/9.10 | (878) e4 = e2 % 33.13/9.10 | % 33.13/9.10 | Simplifying 878 yields: % 33.13/9.10 | (470) e4 = e2 % 33.13/9.10 | % 33.13/9.10 | Equations (470) can reduce 231 to: % 33.13/9.10 | (303) $false % 33.13/9.10 | % 33.13/9.10 |-The branch is then unsatisfiable % 33.13/9.10 |-Branch two: % 33.13/9.10 | (939) ~ (all_0_40_40 = e2) % 33.13/9.10 | (940) all_0_41_41 = e2 | all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 33.13/9.10 | % 33.13/9.10 +-Applying beta-rule and splitting (234), into two cases. % 33.13/9.10 |-Branch one: % 33.13/9.10 | (609) all_0_48_48 = e4 % 33.13/9.10 | % 33.13/9.10 | Equations (609) can reduce 721 to: % 33.13/9.10 | (303) $false % 33.13/9.10 | % 33.13/9.10 |-The branch is then unsatisfiable % 33.13/9.10 |-Branch two: % 33.13/9.10 | (721) ~ (all_0_48_48 = e4) % 33.13/9.10 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 33.13/9.10 | % 33.13/9.10 +-Applying beta-rule and splitting (940), into two cases. % 33.13/9.10 |-Branch one: % 33.13/9.10 | (945) all_0_41_41 = e2 % 33.13/9.10 | % 33.13/9.10 | Equations (945) can reduce 369 to: % 33.13/9.10 | (303) $false % 33.13/9.10 | % 33.13/9.10 |-The branch is then unsatisfiable % 33.13/9.10 |-Branch two: % 33.13/9.10 | (369) ~ (all_0_41_41 = e2) % 33.13/9.10 | (949) all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 33.13/9.10 | % 33.13/9.10 +-Applying beta-rule and splitting (722), into two cases. % 33.13/9.10 |-Branch one: % 33.13/9.10 | (714) all_0_50_50 = e4 % 33.13/9.10 | % 33.13/9.10 | Equations (714) can reduce 258 to: % 33.13/9.10 | (231) ~ (e4 = e2) % 33.13/9.10 | % 33.13/9.10 +-Applying beta-rule and splitting (997), into two cases. % 33.13/9.10 |-Branch one: % 33.13/9.10 | (994) all_0_53_53 = e3 % 33.13/9.10 | % 33.13/9.10 | Equations (994) can reduce 274 to: % 33.13/9.10 | (223) ~ (e3 = e2) % 33.13/9.10 | % 33.13/9.10 +-Applying beta-rule and splitting (949), into two cases. % 33.13/9.10 |-Branch one: % 33.13/9.10 | (959) all_0_42_42 = e2 % 33.13/9.10 | % 33.13/9.10 | Combining equations (959,324) yields a new equation: % 33.13/9.10 | (403) e2 = e0 % 33.13/9.10 | % 33.13/9.10 | Simplifying 403 yields: % 33.13/9.10 | (385) e2 = e0 % 33.13/9.10 | % 33.13/9.10 | Equations (385) can reduce 51 to: % 33.13/9.10 | (303) $false % 33.13/9.10 | % 33.13/9.10 |-The branch is then unsatisfiable % 33.13/9.10 |-Branch two: % 33.13/9.10 | (272) ~ (all_0_42_42 = e2) % 33.13/9.10 | (964) all_0_43_43 = e2 | all_0_44_44 = e2 % 33.13/9.10 | % 33.13/9.10 +-Applying beta-rule and splitting (964), into two cases. % 33.13/9.10 |-Branch one: % 33.13/9.10 | (965) all_0_43_43 = e2 % 33.13/9.10 | % 33.13/9.10 | Combining equations (447,965) yields a new equation: % 33.13/9.10 | (452) e3 = e2 % 33.13/9.10 | % 33.13/9.10 | Simplifying 452 yields: % 33.13/9.10 | (453) e3 = e2 % 33.13/9.10 | % 33.13/9.10 | Equations (453) can reduce 223 to: % 33.13/9.10 | (303) $false % 33.13/9.10 | % 33.13/9.10 |-The branch is then unsatisfiable % 33.13/9.10 |-Branch two: % 33.13/9.10 | (253) ~ (all_0_43_43 = e2) % 33.13/9.10 | (572) all_0_44_44 = e2 % 33.13/9.10 | % 33.13/9.10 | Combining equations (1096,572) yields a new equation: % 33.13/9.10 | (878) e4 = e2 % 33.13/9.10 | % 33.13/9.10 | Simplifying 878 yields: % 33.13/9.10 | (470) e4 = e2 % 33.13/9.10 | % 33.13/9.10 | Equations (470) can reduce 231 to: % 33.13/9.10 | (303) $false % 33.13/9.10 | % 33.13/9.10 |-The branch is then unsatisfiable % 33.13/9.10 |-Branch two: % 33.13/9.10 | (428) ~ (all_0_53_53 = e3) % 33.13/9.10 | (1001) all_0_57_57 = e3 % 33.13/9.10 | % 33.13/9.10 | Combining equations (1001,897) yields a new equation: % 33.13/9.10 | (452) e3 = e2 % 33.13/9.10 | % 33.13/9.10 | Simplifying 452 yields: % 33.13/9.10 | (453) e3 = e2 % 33.13/9.10 | % 33.13/9.10 | Equations (453) can reduce 223 to: % 33.13/9.10 | (303) $false % 33.13/9.10 | % 33.13/9.10 |-The branch is then unsatisfiable % 33.13/9.10 |-Branch two: % 33.13/9.10 | (611) ~ (all_0_50_50 = e4) % 33.13/9.10 | (1501) all_0_51_51 = e4 % 33.13/9.10 | % 33.13/9.10 | Combining equations (927,1501) yields a new equation: % 33.13/9.10 | (470) e4 = e2 % 33.13/9.10 | % 33.13/9.10 | Equations (470) can reduce 231 to: % 33.13/9.10 | (303) $false % 33.13/9.10 | % 33.13/9.10 |-The branch is then unsatisfiable % 33.13/9.10 |-Branch two: % 33.13/9.10 | (373) ~ (all_0_51_51 = e2) % 33.13/9.10 | (6448) all_0_51_51 = e4 | all_0_51_51 = e1 | all_0_51_51 = e0 % 33.13/9.10 | % 33.13/9.10 +-Applying beta-rule and splitting (153), into two cases. % 33.13/9.10 |-Branch one: % 33.13/9.10 | (932) all_0_55_55 = e2 % 33.13/9.10 | % 33.13/9.10 | Equations (932) can reduce 276 to: % 33.13/9.10 | (303) $false % 33.13/9.10 | % 33.13/9.10 |-The branch is then unsatisfiable % 33.13/9.10 |-Branch two: % 33.13/9.10 | (276) ~ (all_0_55_55 = e2) % 33.13/9.10 | (1809) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 % 33.13/9.10 | % 33.13/9.10 +-Applying beta-rule and splitting (175), into two cases. % 33.13/9.10 |-Branch one: % 33.13/9.10 | (624) all_0_40_40 = e1 % 33.13/9.10 | % 33.13/9.10 | Equations (624) can reduce 683 to: % 33.13/9.10 | (303) $false % 33.13/9.10 | % 33.13/9.10 |-The branch is then unsatisfiable % 33.13/9.10 |-Branch two: % 33.13/9.10 | (683) ~ (all_0_40_40 = e1) % 33.13/9.10 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 33.13/9.10 | % 33.13/9.10 +-Applying beta-rule and splitting (221), into two cases. % 33.13/9.10 |-Branch one: % 33.13/9.10 | (696) all_0_41_41 = e1 % 33.13/9.10 | % 33.13/9.10 | Equations (696) can reduce 996 to: % 33.13/9.10 | (465) ~ (e3 = e1) % 33.13/9.10 | % 33.13/9.10 | Simplifying 465 yields: % 33.13/9.10 | (136) ~ (e3 = e1) % 33.13/9.10 | % 33.13/9.10 +-Applying beta-rule and splitting (1589), into two cases. % 33.13/9.10 |-Branch one: % 33.13/9.10 | (1590) all_0_51_51 = e1 % 33.13/9.10 | % 33.13/9.10 | Equations (1590) can reduce 500 to: % 33.13/9.10 | (303) $false % 33.13/9.10 | % 33.13/9.10 |-The branch is then unsatisfiable % 33.13/9.10 |-Branch two: % 33.13/9.10 | (500) ~ (all_0_51_51 = e1) % 33.13/9.10 | (1594) all_0_55_55 = e1 | all_0_60_60 = e1 % 33.13/9.10 | % 33.13/9.10 +-Applying beta-rule and splitting (684), into two cases. % 33.13/9.10 |-Branch one: % 33.13/9.10 | (748) all_0_48_48 = e1 % 33.13/9.10 | % 33.13/9.10 | Equations (748) can reduce 34 to: % 33.13/9.10 | (465) ~ (e3 = e1) % 33.13/9.10 | % 33.13/9.10 | Simplifying 465 yields: % 33.13/9.10 | (136) ~ (e3 = e1) % 33.13/9.10 | % 33.13/9.10 +-Applying beta-rule and splitting (1594), into two cases. % 33.13/9.10 |-Branch one: % 33.13/9.10 | (530) all_0_55_55 = e1 % 33.13/9.10 | % 33.13/9.10 | Equations (530) can reduce 13 to: % 33.13/9.10 | (500) ~ (all_0_51_51 = e1) % 33.13/9.10 | % 33.13/9.10 +-Applying beta-rule and splitting (6448), into two cases. % 33.13/9.10 |-Branch one: % 33.13/9.10 | (1501) all_0_51_51 = e4 % 33.13/9.10 | % 33.13/9.10 | Equations (1501) can reduce 1504 to: % 33.13/9.10 | (303) $false % 33.13/9.10 | % 33.13/9.10 |-The branch is then unsatisfiable % 33.13/9.10 |-Branch two: % 33.13/9.10 | (1504) ~ (all_0_51_51 = e4) % 33.13/9.11 | (6452) all_0_51_51 = e1 | all_0_51_51 = e0 % 33.13/9.11 | % 33.13/9.11 +-Applying beta-rule and splitting (6452), into two cases. % 33.13/9.11 |-Branch one: % 33.13/9.11 | (1590) all_0_51_51 = e1 % 33.13/9.11 | % 33.13/9.11 | Equations (1590) can reduce 500 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (500) ~ (all_0_51_51 = e1) % 33.13/9.11 | (388) all_0_51_51 = e0 % 33.13/9.11 | % 33.13/9.11 | Equations (388) can reduce 2347 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (464) ~ (all_0_55_55 = e1) % 33.13/9.11 | (604) all_0_60_60 = e1 % 33.13/9.11 | % 33.13/9.11 | Combining equations (1937,604) yields a new equation: % 33.13/9.11 | (680) e3 = e1 % 33.13/9.11 | % 33.13/9.11 | Simplifying 680 yields: % 33.13/9.11 | (601) e3 = e1 % 33.13/9.11 | % 33.13/9.11 | Equations (601) can reduce 136 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (802) ~ (all_0_48_48 = e1) % 33.13/9.11 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 33.13/9.11 | % 33.13/9.11 +-Applying beta-rule and splitting (1594), into two cases. % 33.13/9.11 |-Branch one: % 33.13/9.11 | (530) all_0_55_55 = e1 % 33.13/9.11 | % 33.13/9.11 | Equations (530) can reduce 492 to: % 33.13/9.11 | (605) ~ (e4 = e1) % 33.13/9.11 | % 33.13/9.11 | Simplifying 605 yields: % 33.13/9.11 | (247) ~ (e4 = e1) % 33.13/9.11 | % 33.13/9.11 | Equations (530) can reduce 93 to: % 33.13/9.11 | (134) ~ (e1 = e0) % 33.13/9.11 | % 33.13/9.11 +-Applying beta-rule and splitting (807), into two cases. % 33.13/9.11 |-Branch one: % 33.13/9.11 | (1070) all_0_52_52 = e1 % 33.13/9.11 | % 33.13/9.11 | Combining equations (1070,442) yields a new equation: % 33.13/9.11 | (541) e4 = e1 % 33.13/9.11 | % 33.13/9.11 | Equations (541) can reduce 247 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (502) ~ (all_0_52_52 = e1) % 33.13/9.11 | (583) all_0_56_56 = e1 % 33.13/9.11 | % 33.13/9.11 | Combining equations (583,2307) yields a new equation: % 33.13/9.11 | (670) e1 = e0 % 33.13/9.11 | % 33.13/9.11 | Simplifying 670 yields: % 33.13/9.11 | (590) e1 = e0 % 33.13/9.11 | % 33.13/9.11 | Equations (590) can reduce 134 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (464) ~ (all_0_55_55 = e1) % 33.13/9.11 | (604) all_0_60_60 = e1 % 33.13/9.11 | % 33.13/9.11 | Combining equations (1937,604) yields a new equation: % 33.13/9.11 | (680) e3 = e1 % 33.13/9.11 | % 33.13/9.11 | Simplifying 680 yields: % 33.13/9.11 | (601) e3 = e1 % 33.13/9.11 | % 33.13/9.11 | Equations (601) can reduce 136 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (699) ~ (all_0_41_41 = e1) % 33.13/9.11 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 33.13/9.11 | % 33.13/9.11 +-Applying beta-rule and splitting (1589), into two cases. % 33.13/9.11 |-Branch one: % 33.13/9.11 | (1590) all_0_51_51 = e1 % 33.13/9.11 | % 33.13/9.11 | Equations (1590) can reduce 500 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (500) ~ (all_0_51_51 = e1) % 33.13/9.11 | (1594) all_0_55_55 = e1 | all_0_60_60 = e1 % 33.13/9.11 | % 33.13/9.11 +-Applying beta-rule and splitting (1594), into two cases. % 33.13/9.11 |-Branch one: % 33.13/9.11 | (530) all_0_55_55 = e1 % 33.13/9.11 | % 33.13/9.11 | Equations (530) can reduce 131 to: % 33.13/9.11 | (509) ~ (all_0_53_53 = e1) % 33.13/9.11 | % 33.13/9.11 | Equations (530) can reduce 276 to: % 33.13/9.11 | (565) ~ (e2 = e1) % 33.13/9.11 | % 33.13/9.11 | Simplifying 565 yields: % 33.13/9.11 | (144) ~ (e2 = e1) % 33.13/9.11 | % 33.13/9.11 | Equations (530) can reduce 93 to: % 33.13/9.11 | (134) ~ (e1 = e0) % 33.13/9.11 | % 33.13/9.11 +-Applying beta-rule and splitting (2154), into two cases. % 33.13/9.11 |-Branch one: % 33.13/9.11 | (1580) all_0_49_49 = e1 % 33.13/9.11 | % 33.13/9.11 | Combining equations (384,1580) yields a new equation: % 33.13/9.11 | (590) e1 = e0 % 33.13/9.11 | % 33.13/9.11 | Equations (590) can reduce 134 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (506) ~ (all_0_49_49 = e1) % 33.13/9.11 | (2676) all_0_53_53 = e1 | all_0_57_57 = e1 % 33.13/9.11 | % 33.13/9.11 +-Applying beta-rule and splitting (2676), into two cases. % 33.13/9.11 |-Branch one: % 33.13/9.11 | (462) all_0_53_53 = e1 % 33.13/9.11 | % 33.13/9.11 | Equations (462) can reduce 509 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (509) ~ (all_0_53_53 = e1) % 33.13/9.11 | (589) all_0_57_57 = e1 % 33.13/9.11 | % 33.13/9.11 | Combining equations (589,897) yields a new equation: % 33.13/9.11 | (585) e2 = e1 % 33.13/9.11 | % 33.13/9.11 | Equations (585) can reduce 144 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (464) ~ (all_0_55_55 = e1) % 33.13/9.11 | (604) all_0_60_60 = e1 % 33.13/9.11 | % 33.13/9.11 | Combining equations (604,1937) yields a new equation: % 33.13/9.11 | (601) e3 = e1 % 33.13/9.11 | % 33.13/9.11 | Equations (601) can reduce 136 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (624) all_0_40_40 = e1 % 33.13/9.11 | (614) all_0_43_43 = e4 % 33.13/9.11 | % 33.13/9.11 | Combining equations (447,614) yields a new equation: % 33.13/9.11 | (443) e4 = e3 % 33.13/9.11 | % 33.13/9.11 | Equations (443) can reduce 30 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (434) ~ (all_0_43_43 = e3) % 33.13/9.11 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 33.13/9.11 | % 33.13/9.11 +-Applying beta-rule and splitting (200), into two cases. % 33.13/9.11 |-Branch one: % 33.13/9.11 | (1102) all_0_40_40 = e3 % 33.13/9.11 | % 33.13/9.11 | Equations (1102) can reduce 432 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (432) ~ (all_0_40_40 = e3) % 33.13/9.11 | (2138) all_0_41_41 = e3 | all_0_43_43 = e3 | all_0_44_44 = e3 % 33.13/9.11 | % 33.13/9.11 +-Applying beta-rule and splitting (153), into two cases. % 33.13/9.11 |-Branch one: % 33.13/9.11 | (932) all_0_55_55 = e2 % 33.13/9.11 | % 33.13/9.11 | Equations (932) can reduce 276 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (276) ~ (all_0_55_55 = e2) % 33.13/9.11 | (1809) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 % 33.13/9.11 | % 33.13/9.11 +-Applying beta-rule and splitting (221), into two cases. % 33.13/9.11 |-Branch one: % 33.13/9.11 | (696) all_0_41_41 = e1 % 33.13/9.11 | % 33.13/9.11 | Equations (696) can reduce 121 to: % 33.13/9.11 | (6422) ~ (all_0_53_53 = e1) % 33.13/9.11 | % 33.13/9.11 | Simplifying 6422 yields: % 33.13/9.11 | (509) ~ (all_0_53_53 = e1) % 33.13/9.11 | % 33.13/9.11 +-Applying beta-rule and splitting (1073), into two cases. % 33.13/9.11 |-Branch one: % 33.13/9.11 | (462) all_0_53_53 = e1 % 33.13/9.11 | % 33.13/9.11 | Equations (462) can reduce 509 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (509) ~ (all_0_53_53 = e1) % 33.13/9.11 | (530) all_0_55_55 = e1 % 33.13/9.11 | % 33.13/9.11 | Equations (530) can reduce 131 to: % 33.13/9.11 | (509) ~ (all_0_53_53 = e1) % 33.13/9.11 | % 33.13/9.11 +-Applying beta-rule and splitting (363), into two cases. % 33.13/9.11 |-Branch one: % 33.13/9.11 | (462) all_0_53_53 = e1 % 33.13/9.11 | % 33.13/9.11 | Equations (462) can reduce 509 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (509) ~ (all_0_53_53 = e1) % 33.13/9.11 | (994) all_0_53_53 = e3 % 33.13/9.11 | % 33.13/9.11 | Equations (994) can reduce 274 to: % 33.13/9.11 | (223) ~ (e3 = e2) % 33.13/9.11 | % 33.13/9.11 +-Applying beta-rule and splitting (450), into two cases. % 33.13/9.11 |-Branch one: % 33.13/9.11 | (451) all_0_46_46 = e3 % 33.13/9.11 | % 33.13/9.11 | Combining equations (252,451) yields a new equation: % 33.13/9.11 | (453) e3 = e2 % 33.13/9.11 | % 33.13/9.11 | Equations (453) can reduce 223 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (455) ~ (all_0_46_46 = e3) % 33.13/9.11 | (456) all_0_59_59 = e3 % 33.13/9.11 | % 33.13/9.11 | Equations (456) can reduce 1031 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (699) ~ (all_0_41_41 = e1) % 33.13/9.11 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 33.13/9.11 | % 33.13/9.11 +-Applying beta-rule and splitting (1809), into two cases. % 33.13/9.11 |-Branch one: % 33.13/9.11 | (473) all_0_55_55 = e4 % 33.13/9.11 | % 33.13/9.11 | Equations (473) can reduce 492 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (492) ~ (all_0_55_55 = e4) % 33.13/9.11 | (4636) all_0_55_55 = e3 | all_0_55_55 = e1 % 33.13/9.11 | % 33.13/9.11 +-Applying beta-rule and splitting (4636), into two cases. % 33.13/9.11 |-Branch one: % 33.13/9.11 | (530) all_0_55_55 = e1 % 33.13/9.11 | % 33.13/9.11 | Equations (530) can reduce 131 to: % 33.13/9.11 | (509) ~ (all_0_53_53 = e1) % 33.13/9.11 | % 33.13/9.11 +-Applying beta-rule and splitting (180), into two cases. % 33.13/9.11 |-Branch one: % 33.13/9.11 | (945) all_0_41_41 = e2 % 33.13/9.11 | % 33.13/9.11 | Equations (945) can reduce 369 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (369) ~ (all_0_41_41 = e2) % 33.13/9.11 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 33.13/9.11 | % 33.13/9.11 +-Applying beta-rule and splitting (363), into two cases. % 33.13/9.11 |-Branch one: % 33.13/9.11 | (462) all_0_53_53 = e1 % 33.13/9.11 | % 33.13/9.11 | Equations (462) can reduce 509 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (509) ~ (all_0_53_53 = e1) % 33.13/9.11 | (994) all_0_53_53 = e3 % 33.13/9.11 | % 33.13/9.11 | Equations (994) can reduce 121 to: % 33.13/9.11 | (996) ~ (all_0_41_41 = e3) % 33.13/9.11 | % 33.13/9.11 +-Applying beta-rule and splitting (2138), into two cases. % 33.13/9.11 |-Branch one: % 33.13/9.11 | (431) all_0_41_41 = e3 % 33.13/9.11 | % 33.13/9.11 | Equations (431) can reduce 996 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (996) ~ (all_0_41_41 = e3) % 33.13/9.11 | (5989) all_0_43_43 = e3 | all_0_44_44 = e3 % 33.13/9.11 | % 33.13/9.11 +-Applying beta-rule and splitting (1017), into two cases. % 33.13/9.11 |-Branch one: % 33.13/9.11 | (696) all_0_41_41 = e1 % 33.13/9.11 | % 33.13/9.11 | Equations (696) can reduce 699 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (699) ~ (all_0_41_41 = e1) % 33.13/9.11 | (2158) all_0_41_41 = e3 | all_0_41_41 = e0 % 33.13/9.11 | % 33.13/9.11 +-Applying beta-rule and splitting (2158), into two cases. % 33.13/9.11 |-Branch one: % 33.13/9.11 | (398) all_0_41_41 = e0 % 33.13/9.11 | % 33.13/9.11 | Equations (398) can reduce 326 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (326) ~ (all_0_41_41 = e0) % 33.13/9.11 | (431) all_0_41_41 = e3 % 33.13/9.11 | % 33.13/9.11 | Equations (431) can reduce 996 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (464) ~ (all_0_55_55 = e1) % 33.13/9.11 | (2165) all_0_55_55 = e3 % 33.13/9.11 | % 33.13/9.11 | Equations (2165) can reduce 314 to: % 33.13/9.11 | (303) $false % 33.13/9.11 | % 33.13/9.11 |-The branch is then unsatisfiable % 33.13/9.11 |-Branch two: % 33.13/9.11 | (445) ~ (all_0_52_52 = e4) % 33.13/9.11 | (1795) all_0_52_52 = e3 | all_0_52_52 = e1 % 33.13/9.11 | % 33.13/9.11 +-Applying beta-rule and splitting (1795), into two cases. % 33.13/9.11 |-Branch one: % 33.13/9.12 | (1070) all_0_52_52 = e1 % 33.13/9.12 | % 33.13/9.12 | Equations (1070) can reduce 502 to: % 33.13/9.12 | (303) $false % 33.13/9.12 | % 33.13/9.12 |-The branch is then unsatisfiable % 33.13/9.12 |-Branch two: % 33.13/9.12 | (502) ~ (all_0_52_52 = e1) % 33.13/9.12 | (425) all_0_52_52 = e3 % 33.13/9.12 | % 33.13/9.12 | Equations (425) can reduce 521 to: % 33.13/9.12 | (303) $false % 33.13/9.12 | % 33.13/9.12 |-The branch is then unsatisfiable % 33.13/9.12 |-Branch two: % 33.13/9.12 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 33.13/9.12 | % 33.13/9.12 | Applying alpha-rule on (514) yields: % 33.13/9.12 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 33.13/9.12 | (516) ~ (all_0_47_47 = e3) % 33.13/9.12 | (314) ~ (all_0_55_55 = e3) % 33.13/9.12 | (368) all_0_49_49 = e2 % 33.13/9.12 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 33.13/9.12 | (520) ~ (unit = e3) % 33.13/9.12 | (521) ~ (all_0_52_52 = e3) % 33.13/9.12 | (455) ~ (all_0_46_46 = e3) % 33.13/9.12 | (432) ~ (all_0_40_40 = e3) % 33.13/9.12 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 33.13/9.12 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 33.13/9.12 | (526) ~ (all_0_56_56 = e3) % 33.13/9.12 | % 33.13/9.12 | Combining equations (384,368) yields a new equation: % 33.13/9.12 | (385) e2 = e0 % 33.13/9.12 | % 33.13/9.12 | Equations (385) can reduce 51 to: % 33.13/9.12 | (303) $false % 33.13/9.12 | % 33.13/9.12 |-The branch is then unsatisfiable % 33.13/9.12 |-Branch two: % 33.13/9.12 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 33.13/9.12 | % 33.13/9.12 | Applying alpha-rule on (528) yields: % 33.13/9.12 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 33.13/9.12 | (530) all_0_55_55 = e1 % 33.13/9.12 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 33.13/9.12 | (387) ~ (all_0_49_49 = e0) % 33.13/9.12 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 33.13/9.12 | (534) ~ (all_0_45_45 = e0) % 33.13/9.12 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 33.13/9.12 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 33.13/9.12 | (537) ~ (unit = e0) % 33.13/9.12 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 33.13/9.12 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 33.13/9.12 | % 33.13/9.12 | Equations (384) can reduce 387 to: % 33.13/9.12 | (303) $false % 33.13/9.12 | % 33.13/9.12 |-The branch is then unsatisfiable % 33.13/9.12 |-Branch two: % 33.13/9.12 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 33.13/9.12 | % 33.13/9.12 | Applying alpha-rule on (543) yields: % 33.13/9.12 | (544) ~ (all_0_48_48 = e2) % 33.13/9.12 | (369) ~ (all_0_41_41 = e2) % 33.13/9.12 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 33.13/9.12 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 33.13/9.12 | (253) ~ (all_0_43_43 = e2) % 33.13/9.12 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 33.13/9.12 | (276) ~ (all_0_55_55 = e2) % 33.13/9.12 | (260) ~ (all_0_59_59 = e2) % 33.13/9.12 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 33.13/9.12 | (274) ~ (all_0_53_53 = e2) % 33.13/9.12 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 33.13/9.12 | (373) ~ (all_0_51_51 = e2) % 33.13/9.12 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 33.13/9.12 | (256) ~ (all_0_47_47 = e2) % 33.13/9.12 | (377) ~ (all_0_57_57 = e2) % 33.13/9.12 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 33.13/9.12 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 33.13/9.12 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 33.13/9.12 | (258) ~ (all_0_50_50 = e2) % 33.13/9.12 | (254) ~ (all_0_45_45 = e2) % 33.13/9.12 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 33.13/9.12 | % 33.13/9.12 | Equations (897) can reduce 377 to: % 33.13/9.12 | (303) $false % 33.13/9.12 | % 33.13/9.12 |-The branch is then unsatisfiable % 33.13/9.12 |-Branch two: % 33.13/9.12 | (387) ~ (all_0_49_49 = e0) % 33.13/9.12 | (407) all_0_57_57 = e0 % 33.13/9.12 | % 33.13/9.12 | Combining equations (897,407) yields a new equation: % 33.13/9.12 | (403) e2 = e0 % 33.13/9.12 | % 33.13/9.12 | Simplifying 403 yields: % 33.13/9.12 | (385) e2 = e0 % 33.13/9.12 | % 33.13/9.12 | Equations (385) can reduce 51 to: % 33.13/9.12 | (303) $false % 33.13/9.12 | % 33.13/9.12 |-The branch is then unsatisfiable % 33.13/9.12 |-Branch two: % 33.13/9.12 | (296) ~ (all_0_56_56 = e0) % 33.13/9.12 | (2310) all_0_57_57 = e0 | all_0_58_58 = e0 | all_0_60_60 = e0 % 33.13/9.12 | % 33.13/9.12 +-Applying beta-rule and splitting (401), into two cases. % 33.13/9.12 |-Branch one: % 33.13/9.12 | (384) all_0_49_49 = e0 % 33.13/9.12 | % 33.13/9.12 | Equations (384) can reduce 215 to: % 33.13/9.12 | (297) ~ (e4 = e0) % 33.13/9.12 | % 33.13/9.12 | Simplifying 297 yields: % 33.13/9.12 | (4) ~ (e4 = e0) % 33.13/9.12 | % 33.13/9.12 | Equations (384) can reduce 2167 to: % 33.13/9.12 | (335) ~ (e2 = e0) % 33.13/9.12 | % 33.13/9.12 | Simplifying 335 yields: % 33.13/9.12 | (51) ~ (e2 = e0) % 33.13/9.12 | % 33.13/9.12 +-Applying beta-rule and splitting (2310), into two cases. % 33.13/9.12 |-Branch one: % 33.13/9.12 | (407) all_0_57_57 = e0 % 33.13/9.12 | % 33.13/9.12 | Combining equations (897,407) yields a new equation: % 33.13/9.12 | (403) e2 = e0 % 33.13/9.12 | % 33.13/9.12 | Simplifying 403 yields: % 33.13/9.12 | (385) e2 = e0 % 33.13/9.12 | % 33.13/9.12 | Equations (385) can reduce 51 to: % 33.13/9.12 | (303) $false % 33.13/9.12 | % 33.13/9.12 |-The branch is then unsatisfiable % 33.13/9.12 |-Branch two: % 33.13/9.12 | (2273) ~ (all_0_57_57 = e0) % 33.13/9.12 | (2314) all_0_58_58 = e0 | all_0_60_60 = e0 % 33.13/9.12 | % 33.13/9.12 +-Applying beta-rule and splitting (2314), into two cases. % 33.13/9.12 |-Branch one: % 33.13/9.12 | (989) all_0_58_58 = e0 % 33.13/9.12 | % 33.13/9.12 | Combining equations (344,989) yields a new equation: % 33.13/9.12 | (1573) e4 = e0 % 33.13/9.12 | % 33.13/9.12 | Simplifying 1573 yields: % 33.13/9.12 | (654) e4 = e0 % 33.13/9.12 | % 33.13/9.12 | Equations (654) can reduce 4 to: % 33.13/9.12 | (303) $false % 33.13/9.12 | % 33.13/9.12 |-The branch is then unsatisfiable % 33.13/9.12 |-Branch two: % 33.13/9.12 | (332) ~ (all_0_58_58 = e0) % 33.13/9.12 | (1934) all_0_60_60 = e0 % 33.13/9.12 | % 33.13/9.12 | Equations (1934) can reduce 414 to: % 33.13/9.12 | (303) $false % 33.13/9.12 | % 33.13/9.12 |-The branch is then unsatisfiable % 33.13/9.12 |-Branch two: % 33.13/9.12 | (387) ~ (all_0_49_49 = e0) % 33.13/9.12 | (407) all_0_57_57 = e0 % 33.13/9.12 | % 33.13/9.12 | Combining equations (897,407) yields a new equation: % 33.13/9.12 | (403) e2 = e0 % 33.13/9.12 | % 33.13/9.12 | Simplifying 403 yields: % 33.13/9.12 | (385) e2 = e0 % 33.13/9.12 | % 33.13/9.12 | Equations (385) can reduce 51 to: % 33.13/9.12 | (303) $false % 33.13/9.12 | % 33.13/9.12 |-The branch is then unsatisfiable % 33.13/9.12 |-Branch two: % 33.13/9.12 | (3161) ~ (all_0_58_58 = e4) % 33.13/9.12 | (989) all_0_58_58 = e0 % 33.13/9.12 | % 33.13/9.12 | Equations (989) can reduce 332 to: % 33.13/9.12 | (303) $false % 33.13/9.12 | % 33.13/9.12 |-The branch is then unsatisfiable % 33.13/9.12 |-Branch two: % 33.13/9.12 | (3164) ~ (all_0_42_42 = e0) % 33.13/9.12 | (989) all_0_58_58 = e0 % 33.13/9.12 | % 33.13/9.12 | Equations (989) can reduce 60 to: % 33.13/9.12 | (3164) ~ (all_0_42_42 = e0) % 33.13/9.12 | % 33.13/9.12 | Equations (989) can reduce 71 to: % 33.13/9.12 | (296) ~ (all_0_56_56 = e0) % 33.13/9.12 | % 33.13/9.12 | Equations (989) can reduce 178 to: % 33.13/9.12 | (2273) ~ (all_0_57_57 = e0) % 33.13/9.12 | % 33.13/9.12 | Equations (989) can reduce 23 to: % 33.13/9.12 | (411) ~ (all_0_59_59 = e0) % 33.13/9.12 | % 33.13/9.12 | Simplifying 411 yields: % 33.13/9.12 | (216) ~ (all_0_59_59 = e0) % 33.13/9.12 | % 33.13/9.12 | Equations (989) can reduce 9 to: % 33.13/9.12 | (413) ~ (all_0_60_60 = e0) % 33.13/9.12 | % 33.13/9.12 | Simplifying 413 yields: % 33.13/9.12 | (414) ~ (all_0_60_60 = e0) % 33.13/9.12 | % 33.13/9.12 | Equations (989) can reduce 203 to: % 33.13/9.12 | (333) ~ (e3 = e0) % 33.13/9.12 | % 33.13/9.12 | Simplifying 333 yields: % 33.13/9.12 | (70) ~ (e3 = e0) % 33.13/9.12 | % 33.13/9.12 | Equations (989) can reduce 278 to: % 33.13/9.12 | (335) ~ (e2 = e0) % 33.13/9.12 | % 33.13/9.12 | Simplifying 335 yields: % 33.13/9.12 | (51) ~ (e2 = e0) % 33.13/9.12 | % 33.13/9.12 | Equations (989) can reduce 31 to: % 33.13/9.12 | (661) ~ (e1 = e0) % 33.13/9.12 | % 33.13/9.12 | Simplifying 661 yields: % 33.13/9.12 | (134) ~ (e1 = e0) % 33.13/9.12 | % 33.13/9.12 | From (989) and (46) follows: % 33.13/9.12 | (3174) op(e0, e0) = all_0_35_35 % 33.13/9.12 | % 33.13/9.12 +-Applying beta-rule and splitting (197), into two cases. % 33.13/9.12 |-Branch one: % 33.13/9.12 | (3175) all_0_42_42 = e4 % 33.13/9.12 | % 33.13/9.12 | Equations (3175) can reduce 115 to: % 33.13/9.12 | (844) ~ (all_0_40_40 = e4) % 33.13/9.12 | % 33.13/9.12 | Equations (3175) can reduce 55 to: % 33.13/9.12 | (192) ~ (all_0_41_41 = e4) % 33.13/9.12 | % 33.13/9.12 | Equations (3175) can reduce 119 to: % 33.13/9.12 | (724) ~ (all_0_43_43 = e4) % 33.13/9.12 | % 33.13/9.12 | Simplifying 724 yields: % 33.13/9.12 | (712) ~ (all_0_43_43 = e4) % 33.13/9.12 | % 33.13/9.12 | Equations (3175) can reduce 69 to: % 33.13/9.12 | (1736) ~ (all_0_44_44 = e4) % 33.13/9.12 | % 33.13/9.12 | Simplifying 1736 yields: % 33.13/9.12 | (474) ~ (all_0_44_44 = e4) % 33.13/9.12 | % 33.13/9.12 | Equations (3175) can reduce 272 to: % 33.13/9.12 | (231) ~ (e4 = e2) % 33.13/9.12 | % 33.13/9.12 | Equations (3175) can reduce 25 to: % 33.13/9.12 | (247) ~ (e4 = e1) % 33.13/9.12 | % 33.13/9.12 | Equations (3175) can reduce 3164 to: % 33.13/9.12 | (4) ~ (e4 = e0) % 33.13/9.12 | % 33.13/9.12 | From (3175) and (80) follows: % 33.13/9.12 | (3184) op(e4, e4) = all_0_3_3 % 33.13/9.12 | % 33.13/9.12 | From (3175) and (179) follows: % 33.13/9.12 | (3185) op(e4, e2) = all_0_4_4 % 33.13/9.12 | % 33.13/9.12 | From (3175) and (148) follows: % 33.13/9.12 | (3186) op(e4, e2) = e4 % 33.13/9.12 | % 33.13/9.12 | Instantiating formula (29) with e4, e4, all_0_3_3, all_0_40_40 and discharging atoms op(e4, e4) = all_0_3_3, op(e4, e4) = all_0_40_40, yields: % 33.13/9.12 | (3187) all_0_3_3 = all_0_40_40 % 33.13/9.12 | % 33.13/9.12 | Instantiating formula (29) with e4, e2, e4, all_0_4_4 and discharging atoms op(e4, e2) = all_0_4_4, op(e4, e2) = e4, yields: % 33.13/9.12 | (356) all_0_4_4 = e4 % 33.13/9.12 | % 33.13/9.12 | Instantiating formula (29) with e0, e0, all_0_35_35, all_0_60_60 and discharging atoms op(e0, e0) = all_0_35_35, op(e0, e0) = all_0_60_60, yields: % 33.13/9.12 | (3189) all_0_35_35 = all_0_60_60 % 33.13/9.12 | % 33.13/9.12 | From (3187) and (3184) follows: % 33.13/9.12 | (168) op(e4, e4) = all_0_40_40 % 33.13/9.12 | % 33.13/9.12 | From (356) and (3185) follows: % 33.13/9.12 | (3186) op(e4, e2) = e4 % 33.13/9.12 | % 33.13/9.12 | From (3189) and (3174) follows: % 33.13/9.12 | (170) op(e0, e0) = all_0_60_60 % 33.13/9.12 | % 33.13/9.12 +-Applying beta-rule and splitting (88), into two cases. % 33.13/9.12 |-Branch one: % 33.13/9.12 | (364) all_0_50_50 = e2 % 33.13/9.12 | % 33.13/9.12 | Equations (364) can reduce 258 to: % 33.13/9.12 | (303) $false % 33.13/9.12 | % 33.13/9.13 |-The branch is then unsatisfiable % 33.13/9.13 |-Branch two: % 33.13/9.13 | (258) ~ (all_0_50_50 = e2) % 33.13/9.13 | (367) all_0_50_50 = e4 | all_0_50_50 = e1 % 33.13/9.13 | % 33.13/9.13 +-Applying beta-rule and splitting (213), into two cases. % 33.13/9.13 |-Branch one: % 33.13/9.13 | (360) all_0_53_53 = e2 % 33.13/9.13 | % 33.13/9.13 | Equations (360) can reduce 274 to: % 33.13/9.13 | (303) $false % 33.13/9.13 | % 33.13/9.13 |-The branch is then unsatisfiable % 33.13/9.13 |-Branch two: % 33.13/9.13 | (274) ~ (all_0_53_53 = e2) % 33.13/9.13 | (363) all_0_53_53 = e3 | all_0_53_53 = e1 % 33.13/9.13 | % 33.13/9.13 +-Applying beta-rule and splitting (114), into two cases. % 33.13/9.13 |-Branch one: % 33.13/9.13 | (368) all_0_49_49 = e2 % 33.13/9.13 | % 33.13/9.13 | Equations (368) can reduce 177 to: % 33.13/9.13 | (369) ~ (all_0_41_41 = e2) % 33.13/9.13 | % 33.13/9.13 | Equations (368) can reduce 58 to: % 33.13/9.13 | (544) ~ (all_0_48_48 = e2) % 33.13/9.13 | % 33.13/9.13 | Equations (368) can reduce 160 to: % 33.13/9.13 | (372) ~ (all_0_51_51 = e2) % 33.13/9.13 | % 33.13/9.13 | Simplifying 372 yields: % 33.13/9.13 | (373) ~ (all_0_51_51 = e2) % 33.13/9.13 | % 33.13/9.13 | Equations (368) can reduce 7 to: % 33.13/9.13 | (374) ~ (all_0_53_53 = e2) % 33.13/9.13 | % 33.13/9.13 | Simplifying 374 yields: % 33.13/9.13 | (274) ~ (all_0_53_53 = e2) % 33.13/9.13 | % 33.13/9.13 | Equations (368) can reduce 226 to: % 33.13/9.13 | (376) ~ (all_0_57_57 = e2) % 33.13/9.13 | % 33.13/9.13 | Simplifying 376 yields: % 33.13/9.13 | (377) ~ (all_0_57_57 = e2) % 33.13/9.13 | % 33.13/9.13 | Equations (368) can reduce 215 to: % 33.13/9.13 | (261) ~ (e4 = e2) % 33.13/9.13 | % 33.13/9.13 | Simplifying 261 yields: % 33.13/9.13 | (231) ~ (e4 = e2) % 33.13/9.13 | % 33.13/9.13 | From (368) and (113) follows: % 33.13/9.13 | (3212) op(e2, e2) = all_0_17_17 % 33.13/9.13 | % 33.13/9.13 +-Applying beta-rule and splitting (150), into two cases. % 33.13/9.13 |-Branch one: % 33.13/9.13 | (398) all_0_41_41 = e0 % 33.13/9.13 | % 33.13/9.13 | Equations (398) can reduce 43 to: % 33.13/9.13 | (327) ~ (all_0_43_43 = e0) % 33.13/9.13 | % 33.13/9.13 | Simplifying 327 yields: % 33.13/9.13 | (117) ~ (all_0_43_43 = e0) % 33.13/9.13 | % 33.13/9.13 | Equations (398) can reduce 121 to: % 33.13/9.13 | (2546) ~ (all_0_53_53 = e0) % 33.13/9.13 | % 33.13/9.13 | Simplifying 2546 yields: % 33.13/9.13 | (140) ~ (all_0_53_53 = e0) % 33.13/9.13 | % 33.13/9.13 | Equations (398) can reduce 11 to: % 33.13/9.13 | (2272) ~ (all_0_57_57 = e0) % 33.13/9.13 | % 33.13/9.13 | Simplifying 2272 yields: % 33.13/9.13 | (2273) ~ (all_0_57_57 = e0) % 33.13/9.13 | % 33.13/9.13 | Equations (398) can reduce 192 to: % 33.13/9.13 | (297) ~ (e4 = e0) % 33.13/9.13 | % 33.13/9.13 | Simplifying 297 yields: % 33.13/9.13 | (4) ~ (e4 = e0) % 33.13/9.13 | % 33.13/9.13 | Equations (398) can reduce 369 to: % 33.13/9.13 | (335) ~ (e2 = e0) % 33.13/9.13 | % 33.13/9.13 | Simplifying 335 yields: % 33.13/9.13 | (51) ~ (e2 = e0) % 33.13/9.13 | % 33.13/9.13 | From (398) and (211) follows: % 33.13/9.13 | (3244) op(e0, e4) = all_0_1_1 % 33.13/9.13 | % 33.13/9.13 | From (398) and (26) follows: % 33.13/9.13 | (3245) op(e0, e3) = all_0_2_2 % 33.13/9.13 | % 33.13/9.13 +-Applying beta-rule and splitting (67), into two cases. % 33.13/9.13 |-Branch one: % 33.13/9.13 | (380) all_0_48_48 = e0 % 33.13/9.13 | % 33.13/9.13 | Equations (380) can reduce 53 to: % 33.13/9.13 | (288) ~ (all_0_40_40 = e0) % 33.13/9.13 | % 33.13/9.13 | Equations (380) can reduce 48 to: % 33.13/9.13 | (6386) ~ (all_0_50_50 = e0) % 33.13/9.13 | % 33.13/9.13 | Simplifying 6386 yields: % 33.13/9.13 | (207) ~ (all_0_50_50 = e0) % 33.13/9.13 | % 33.13/9.13 | Equations (380) can reduce 108 to: % 33.13/9.13 | (293) ~ (all_0_52_52 = e0) % 33.13/9.13 | % 33.13/9.13 | Simplifying 293 yields: % 33.13/9.13 | (78) ~ (all_0_52_52 = e0) % 33.13/9.13 | % 33.13/9.13 | Equations (380) can reduce 2 to: % 33.13/9.13 | (295) ~ (all_0_56_56 = e0) % 33.13/9.13 | % 33.13/9.13 | Simplifying 295 yields: % 33.13/9.13 | (296) ~ (all_0_56_56 = e0) % 33.13/9.13 | % 33.13/9.13 | Equations (380) can reduce 34 to: % 33.13/9.13 | (333) ~ (e3 = e0) % 33.13/9.13 | % 33.13/9.13 | Simplifying 333 yields: % 33.13/9.13 | (70) ~ (e3 = e0) % 33.13/9.13 | % 33.13/9.13 | Equations (380) can reduce 544 to: % 33.13/9.13 | (335) ~ (e2 = e0) % 33.13/9.13 | % 33.13/9.13 | Simplifying 335 yields: % 33.13/9.13 | (51) ~ (e2 = e0) % 33.13/9.13 | % 33.13/9.13 | From (380) and (187) follows: % 33.13/9.13 | (6396) op(e0, e4) = all_0_16_16 % 33.13/9.13 | % 33.13/9.13 | From (380) and (105) follows: % 33.13/9.13 | (9697) op(e2, e4) = e0 % 33.13/9.13 | % 33.13/9.13 | Instantiating formula (29) with e2, e2, all_0_17_17, e3 and discharging atoms op(e2, e2) = all_0_17_17, op(e2, e2) = e3, yields: % 33.13/9.13 | (3246) all_0_17_17 = e3 % 33.13/9.13 | % 33.13/9.13 | Instantiating formula (29) with e0, e4, all_0_1_1, all_0_56_56 and discharging atoms op(e0, e4) = all_0_1_1, op(e0, e4) = all_0_56_56, yields: % 33.13/9.13 | (3247) all_0_1_1 = all_0_56_56 % 33.13/9.13 | % 33.13/9.13 | Instantiating formula (29) with e0, e4, all_0_16_16, all_0_1_1 and discharging atoms op(e0, e4) = all_0_1_1, op(e0, e4) = all_0_16_16, yields: % 33.13/9.13 | (9214) all_0_1_1 = all_0_16_16 % 33.13/9.13 | % 33.13/9.13 | Instantiating formula (29) with e0, e3, all_0_2_2, all_0_57_57 and discharging atoms op(e0, e3) = all_0_2_2, op(e0, e3) = all_0_57_57, yields: % 33.13/9.13 | (3248) all_0_2_2 = all_0_57_57 % 33.13/9.13 | % 33.13/9.13 | Combining equations (3247,9214) yields a new equation: % 33.13/9.13 | (6399) all_0_16_16 = all_0_56_56 % 33.13/9.13 | % 33.13/9.13 | From (3246) and (3212) follows: % 33.13/9.13 | (83) op(e2, e2) = e3 % 33.13/9.13 | % 33.13/9.13 +-Applying beta-rule and splitting (139), into two cases. % 33.13/9.13 |-Branch one: % 33.13/9.13 | (614) all_0_43_43 = e4 % 33.13/9.13 | % 33.13/9.13 | Equations (614) can reduce 712 to: % 33.13/9.13 | (303) $false % 33.13/9.13 | % 33.13/9.13 |-The branch is then unsatisfiable % 33.13/9.13 |-Branch two: % 33.13/9.13 | (712) ~ (all_0_43_43 = e4) % 33.13/9.13 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 33.13/9.13 | % 33.13/9.13 +-Applying beta-rule and splitting (234), into two cases. % 33.13/9.13 |-Branch one: % 33.13/9.13 | (609) all_0_48_48 = e4 % 33.13/9.13 | % 33.13/9.13 | Combining equations (609,380) yields a new equation: % 33.13/9.13 | (1573) e4 = e0 % 33.13/9.13 | % 33.13/9.13 | Simplifying 1573 yields: % 33.13/9.13 | (654) e4 = e0 % 33.13/9.13 | % 33.13/9.13 | Equations (654) can reduce 4 to: % 33.13/9.13 | (303) $false % 33.13/9.13 | % 33.13/9.13 |-The branch is then unsatisfiable % 33.13/9.13 |-Branch two: % 33.13/9.13 | (721) ~ (all_0_48_48 = e4) % 33.13/9.13 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 33.13/9.13 | % 33.13/9.13 +-Applying beta-rule and splitting (237), into two cases. % 33.13/9.13 |-Branch one: % 33.13/9.13 | (431) all_0_41_41 = e3 % 33.13/9.13 | % 33.13/9.13 | Combining equations (431,398) yields a new equation: % 33.13/9.13 | (496) e3 = e0 % 33.13/9.13 | % 33.13/9.13 | Simplifying 496 yields: % 33.13/9.13 | (497) e3 = e0 % 33.13/9.13 | % 33.13/9.13 | Equations (497) can reduce 70 to: % 33.13/9.13 | (303) $false % 33.13/9.13 | % 33.13/9.13 |-The branch is then unsatisfiable % 33.13/9.13 |-Branch two: % 33.13/9.13 | (996) ~ (all_0_41_41 = e3) % 33.13/9.13 | (997) all_0_53_53 = e3 | all_0_57_57 = e3 % 33.13/9.13 | % 33.13/9.13 | Equations (398) can reduce 996 to: % 33.13/9.13 | (333) ~ (e3 = e0) % 33.13/9.13 | % 33.13/9.13 | Simplifying 333 yields: % 33.13/9.13 | (70) ~ (e3 = e0) % 33.13/9.13 | % 33.13/9.13 +-Applying beta-rule and splitting (137), into two cases. % 33.13/9.13 |-Branch one: % 33.13/9.13 | (447) all_0_43_43 = e3 % 33.13/9.13 | % 33.13/9.13 | Equations (447) can reduce 8 to: % 33.13/9.13 | (432) ~ (all_0_40_40 = e3) % 33.13/9.13 | % 33.13/9.13 | Equations (447) can reduce 82 to: % 33.13/9.13 | (435) ~ (all_0_44_44 = e3) % 33.13/9.13 | % 33.13/9.13 | Simplifying 435 yields: % 33.13/9.13 | (310) ~ (all_0_44_44 = e3) % 33.13/9.13 | % 33.13/9.13 | Equations (447) can reduce 238 to: % 33.13/9.13 | (9726) ~ (all_0_50_50 = e3) % 33.13/9.13 | % 33.13/9.13 | Simplifying 9726 yields: % 33.13/9.13 | (15) ~ (all_0_50_50 = e3) % 33.13/9.13 | % 33.13/9.13 | Equations (447) can reduce 249 to: % 33.13/9.13 | (1030) ~ (all_0_59_59 = e3) % 33.13/9.13 | % 33.13/9.13 | Simplifying 1030 yields: % 33.13/9.13 | (1031) ~ (all_0_59_59 = e3) % 33.13/9.13 | % 33.13/9.13 | Equations (447) can reduce 712 to: % 33.13/9.13 | (439) ~ (e4 = e3) % 33.13/9.13 | % 33.13/9.13 | Simplifying 439 yields: % 33.13/9.13 | (30) ~ (e4 = e3) % 33.13/9.13 | % 33.13/9.13 | Equations (447) can reduce 253 to: % 33.13/9.13 | (223) ~ (e3 = e2) % 33.13/9.13 | % 33.13/9.13 | Equations (447) can reduce 117 to: % 33.13/9.13 | (70) ~ (e3 = e0) % 33.13/9.13 | % 33.13/9.13 | From (447) and (99) follows: % 33.13/9.13 | (3298) op(e3, e1) = all_0_6_6 % 33.13/9.13 | % 33.13/9.13 | From (447) and (19) follows: % 33.13/9.13 | (3299) op(e4, e1) = e3 % 33.13/9.13 | % 33.13/9.13 | Instantiating formula (29) with e3, e1, all_0_6_6, e2 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = e2, yields: % 33.13/9.13 | (3326) all_0_6_6 = e2 % 33.13/9.13 | % 33.13/9.13 | From (3326) and (3298) follows: % 33.13/9.13 | (266) op(e3, e1) = e2 % 33.13/9.13 | % 33.13/9.13 +-Applying beta-rule and splitting (6), into two cases. % 33.13/9.13 |-Branch one: % 33.13/9.13 | (442) all_0_52_52 = e4 % 33.13/9.13 | % 33.13/9.13 | Equations (442) can reduce 188 to: % 33.13/9.13 | (844) ~ (all_0_40_40 = e4) % 33.13/9.13 | % 33.13/9.13 | Equations (442) can reduce 77 to: % 33.13/9.13 | (6953) ~ (all_0_53_53 = e4) % 33.13/9.13 | % 33.13/9.13 | Simplifying 6953 yields: % 33.13/9.13 | (229) ~ (all_0_53_53 = e4) % 33.13/9.13 | % 33.13/9.13 | Equations (442) can reduce 169 to: % 33.18/9.13 | (6955) ~ (all_0_55_55 = e4) % 33.18/9.13 | % 33.18/9.13 | Simplifying 6955 yields: % 33.18/9.13 | (492) ~ (all_0_55_55 = e4) % 33.18/9.13 | % 33.18/9.13 | Equations (442) can reduce 149 to: % 33.18/9.13 | (2280) ~ (all_0_56_56 = e4) % 33.18/9.13 | % 33.18/9.13 | Simplifying 2280 yields: % 33.18/9.13 | (345) ~ (all_0_56_56 = e4) % 33.18/9.13 | % 33.18/9.13 | Equations (442) can reduce 521 to: % 33.18/9.13 | (30) ~ (e4 = e3) % 33.18/9.13 | % 33.18/9.13 | Equations (442) can reduce 273 to: % 33.18/9.13 | (231) ~ (e4 = e2) % 33.18/9.13 | % 33.18/9.13 | Equations (442) can reduce 78 to: % 33.18/9.13 | (4) ~ (e4 = e0) % 33.18/9.13 | % 33.18/9.13 | From (442) and (156) follows: % 33.18/9.13 | (5920) op(e4, e1) = all_0_23_23 % 33.18/9.13 | % 33.18/9.13 | From (442) and (152) follows: % 33.18/9.13 | (649) op(e1, e4) = e4 % 33.18/9.13 | % 33.18/9.13 | Instantiating formula (29) with e4, e1, all_0_23_23, e3 and discharging atoms op(e4, e1) = all_0_23_23, op(e4, e1) = e3, yields: % 33.18/9.13 | (6046) all_0_23_23 = e3 % 33.18/9.13 | % 33.18/9.13 | From (6046) and (5920) follows: % 33.18/9.13 | (3299) op(e4, e1) = e3 % 33.18/9.13 | % 33.18/9.13 +-Applying beta-rule and splitting (64), into two cases. % 33.18/9.13 |-Branch one: % 33.18/9.13 | (425) all_0_52_52 = e3 % 33.18/9.13 | % 33.18/9.13 | Combining equations (442,425) yields a new equation: % 33.18/9.13 | (718) e4 = e3 % 33.18/9.13 | % 33.18/9.13 | Simplifying 718 yields: % 33.18/9.13 | (443) e4 = e3 % 33.18/9.13 | % 33.18/9.13 | Equations (443) can reduce 30 to: % 33.18/9.13 | (303) $false % 33.18/9.13 | % 33.18/9.13 |-The branch is then unsatisfiable % 33.18/9.13 |-Branch two: % 33.18/9.13 | (521) ~ (all_0_52_52 = e3) % 33.18/9.13 | (1006) all_0_53_53 = e3 | all_0_55_55 = e3 % 33.18/9.13 | % 33.18/9.13 +-Applying beta-rule and splitting (85), into two cases. % 33.18/9.13 |-Branch one: % 33.18/9.13 | (1070) all_0_52_52 = e1 % 33.18/9.13 | % 33.18/9.13 | Combining equations (442,1070) yields a new equation: % 33.18/9.13 | (540) e4 = e1 % 33.18/9.13 | % 33.18/9.13 | Simplifying 540 yields: % 33.18/9.13 | (541) e4 = e1 % 33.18/9.13 | % 33.18/9.13 | Equations (541) can reduce 247 to: % 33.18/9.13 | (303) $false % 33.18/9.13 | % 33.18/9.13 |-The branch is then unsatisfiable % 33.18/9.13 |-Branch two: % 33.18/9.13 | (502) ~ (all_0_52_52 = e1) % 33.18/9.13 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 33.18/9.13 | % 33.18/9.13 +-Applying beta-rule and splitting (100), into two cases. % 33.18/9.13 |-Branch one: % 33.18/9.13 | (618) all_0_43_43 = e1 % 33.18/9.13 | % 33.18/9.13 | Combining equations (618,447) yields a new equation: % 33.18/9.13 | (601) e3 = e1 % 33.18/9.13 | % 33.18/9.13 | Equations (601) can reduce 136 to: % 33.18/9.13 | (303) $false % 33.18/9.13 | % 33.18/9.13 |-The branch is then unsatisfiable % 33.18/9.13 |-Branch two: % 33.18/9.13 | (622) ~ (all_0_43_43 = e1) % 33.18/9.13 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 33.18/9.13 | % 33.18/9.13 | Equations (447) can reduce 622 to: % 33.18/9.13 | (136) ~ (e3 = e1) % 33.18/9.13 | % 33.18/9.13 +-Applying beta-rule and splitting (250), into two cases. % 33.18/9.13 |-Branch one: % 33.18/9.13 | (897) all_0_57_57 = e2 % 33.18/9.13 | % 33.18/9.13 | Equations (897) can reduce 377 to: % 33.18/9.13 | (303) $false % 33.18/9.13 | % 33.18/9.13 |-The branch is then unsatisfiable % 33.18/9.13 |-Branch two: % 33.18/9.13 | (377) ~ (all_0_57_57 = e2) % 33.18/9.13 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 33.18/9.13 | % 33.18/9.13 +-Applying beta-rule and splitting (227), into two cases. % 33.18/9.13 |-Branch one: % 33.18/9.13 | (909) all_0_59_59 = e2 % 33.18/9.13 | % 33.18/9.13 | Equations (909) can reduce 260 to: % 33.18/9.13 | (303) $false % 33.18/9.13 | % 33.18/9.13 |-The branch is then unsatisfiable % 33.18/9.13 |-Branch two: % 33.18/9.13 | (260) ~ (all_0_59_59 = e2) % 33.18/9.13 | (1037) all_0_59_59 = e4 | all_0_59_59 = e3 | all_0_59_59 = e1 % 33.18/9.13 | % 33.18/9.13 +-Applying beta-rule and splitting (153), into two cases. % 33.18/9.13 |-Branch one: % 33.18/9.13 | (932) all_0_55_55 = e2 % 33.18/9.13 | % 33.18/9.13 | Equations (932) can reduce 276 to: % 33.18/9.13 | (303) $false % 33.18/9.13 | % 33.18/9.13 |-The branch is then unsatisfiable % 33.18/9.13 |-Branch two: % 33.18/9.13 | (276) ~ (all_0_55_55 = e2) % 33.18/9.13 | (1809) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 % 33.18/9.13 | % 33.18/9.13 +-Applying beta-rule and splitting (241), into two cases. % 33.18/9.13 |-Branch one: % 33.18/9.13 | (1096) all_0_44_44 = e4 % 33.18/9.13 | % 33.18/9.14 | Equations (1096) can reduce 474 to: % 33.18/9.14 | (303) $false % 33.18/9.14 | % 33.18/9.14 |-The branch is then unsatisfiable % 33.18/9.14 |-Branch two: % 33.18/9.14 | (474) ~ (all_0_44_44 = e4) % 33.18/9.14 | (1500) all_0_51_51 = e4 | all_0_55_55 = e4 | all_0_60_60 = e4 % 33.18/9.14 | % 33.18/9.14 +-Applying beta-rule and splitting (112), into two cases. % 33.18/9.14 |-Branch one: % 33.18/9.14 | (572) all_0_44_44 = e2 % 33.18/9.14 | % 33.18/9.14 +-Applying beta-rule and splitting (61), into two cases. % 33.18/9.14 |-Branch one: % 33.18/9.14 | (580) all_0_56_56 = e2 % 33.18/9.14 | % 33.18/9.14 | Equations (580) can reduce 57 to: % 33.18/9.14 | (939) ~ (all_0_40_40 = e2) % 33.18/9.14 | % 33.18/9.14 | Equations (580) can reduce 174 to: % 33.18/9.14 | (573) ~ (all_0_60_60 = e2) % 33.18/9.14 | % 33.18/9.14 | Simplifying 573 yields: % 33.18/9.14 | (571) ~ (all_0_60_60 = e2) % 33.18/9.14 | % 33.18/9.14 +-Applying beta-rule and splitting (44), into two cases. % 33.18/9.14 |-Branch one: % 33.18/9.14 | (624) all_0_40_40 = e1 % 33.18/9.14 | % 33.18/9.14 | Equations (624) can reduce 432 to: % 33.18/9.14 | (465) ~ (e3 = e1) % 33.18/9.14 | % 33.18/9.14 | Simplifying 465 yields: % 33.18/9.14 | (136) ~ (e3 = e1) % 33.18/9.14 | % 33.18/9.14 | Equations (624) can reduce 939 to: % 33.18/9.14 | (565) ~ (e2 = e1) % 33.18/9.14 | % 33.18/9.14 | Simplifying 565 yields: % 33.18/9.14 | (144) ~ (e2 = e1) % 33.18/9.14 | % 33.18/9.14 +-Applying beta-rule and splitting (56), into two cases. % 33.18/9.14 |-Branch one: % 33.18/9.14 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 33.18/9.14 | % 33.18/9.14 +-Applying beta-rule and splitting (480), into two cases. % 33.18/9.14 |-Branch one: % 33.18/9.14 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 33.18/9.14 | % 33.18/9.14 +-Applying beta-rule and splitting (481), into two cases. % 33.18/9.14 |-Branch one: % 33.18/9.14 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 33.18/9.14 | % 33.18/9.14 +-Applying beta-rule and splitting (482), into two cases. % 33.18/9.14 |-Branch one: % 33.18/9.14 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 33.18/9.14 | % 33.18/9.14 | Applying alpha-rule on (483) yields: % 33.18/9.14 | (484) ~ (unit = e4) % 33.18/9.14 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 33.18/9.14 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 33.18/9.14 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 33.18/9.14 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 33.18/9.14 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 33.18/9.14 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 33.18/9.14 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 33.18/9.14 | (492) ~ (all_0_55_55 = e4) % 33.18/9.14 | (493) all_0_45_45 = e3 % 33.18/9.14 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 33.18/9.14 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 33.18/9.14 | % 33.18/9.14 +-Applying beta-rule and splitting (491), into two cases. % 33.18/9.14 |-Branch one: % 33.18/9.14 | (6245) ~ (all_0_42_42 = e4) % 33.18/9.14 | % 33.18/9.14 | Equations (3175) can reduce 6245 to: % 33.18/9.14 | (303) $false % 33.18/9.14 | % 33.18/9.14 |-The branch is then unsatisfiable % 33.18/9.14 |-Branch two: % 33.18/9.14 | (3175) all_0_42_42 = e4 % 33.18/9.14 | (917) all_0_40_40 = e2 % 33.18/9.14 | % 33.18/9.14 | Combining equations (624,917) yields a new equation: % 33.18/9.14 | (585) e2 = e1 % 33.18/9.14 | % 33.18/9.14 | Equations (585) can reduce 144 to: % 33.18/9.14 | (303) $false % 33.18/9.14 | % 33.18/9.14 |-The branch is then unsatisfiable % 33.18/9.14 |-Branch two: % 33.18/9.14 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 33.18/9.14 | % 33.18/9.14 | Applying alpha-rule on (499) yields: % 33.18/9.14 | (500) ~ (all_0_51_51 = e1) % 33.18/9.14 | (501) ~ (all_0_60_60 = e1) % 33.18/9.14 | (502) ~ (all_0_52_52 = e1) % 33.18/9.14 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 33.18/9.14 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 33.18/9.14 | (252) all_0_46_46 = e2 % 33.18/9.14 | (506) ~ (all_0_49_49 = e1) % 33.18/9.14 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 33.18/9.14 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 33.18/9.14 | (509) ~ (all_0_53_53 = e1) % 33.18/9.14 | (510) ~ (unit = e1) % 33.18/9.14 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 33.18/9.14 | (512) ~ (all_0_44_44 = e1) % 33.18/9.14 | % 33.18/9.14 +-Applying beta-rule and splitting (1073), into two cases. % 33.18/9.14 |-Branch one: % 33.18/9.14 | (462) all_0_53_53 = e1 % 33.18/9.14 | % 33.18/9.14 | Equations (462) can reduce 509 to: % 33.18/9.14 | (303) $false % 33.18/9.14 | % 33.18/9.14 |-The branch is then unsatisfiable % 33.18/9.14 |-Branch two: % 33.18/9.14 | (509) ~ (all_0_53_53 = e1) % 33.18/9.14 | (530) all_0_55_55 = e1 % 33.18/9.14 | % 33.18/9.14 +-Applying beta-rule and splitting (1006), into two cases. % 33.18/9.14 |-Branch one: % 33.18/9.14 | (994) all_0_53_53 = e3 % 33.18/9.14 | % 33.18/9.14 | Equations (994) can reduce 229 to: % 33.18/9.14 | (439) ~ (e4 = e3) % 33.18/9.14 | % 33.18/9.14 | Simplifying 439 yields: % 33.18/9.14 | (30) ~ (e4 = e3) % 33.18/9.14 | % 33.18/9.14 +-Applying beta-rule and splitting (508), into two cases. % 33.18/9.14 |-Branch one: % 33.18/9.14 | (683) ~ (all_0_40_40 = e1) % 33.18/9.14 | % 33.18/9.14 | Equations (624) can reduce 683 to: % 33.18/9.14 | (303) $false % 33.18/9.14 | % 33.18/9.14 |-The branch is then unsatisfiable % 33.18/9.14 |-Branch two: % 33.18/9.14 | (624) all_0_40_40 = e1 % 33.18/9.14 | (614) all_0_43_43 = e4 % 33.18/9.14 | % 33.18/9.14 | Combining equations (447,614) yields a new equation: % 33.18/9.14 | (443) e4 = e3 % 33.18/9.14 | % 33.18/9.14 | Equations (443) can reduce 30 to: % 33.18/9.14 | (303) $false % 33.18/9.14 | % 33.18/9.14 |-The branch is then unsatisfiable % 33.18/9.14 |-Branch two: % 33.18/9.14 | (428) ~ (all_0_53_53 = e3) % 33.18/9.14 | (2165) all_0_55_55 = e3 % 33.18/9.14 | % 33.18/9.14 | Combining equations (530,2165) yields a new equation: % 33.18/9.14 | (601) e3 = e1 % 33.18/9.14 | % 33.18/9.14 | Equations (601) can reduce 136 to: % 33.18/9.14 | (303) $false % 33.18/9.14 | % 33.18/9.14 |-The branch is then unsatisfiable % 33.18/9.14 |-Branch two: % 33.18/9.14 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 33.18/9.14 | % 33.18/9.14 | Applying alpha-rule on (514) yields: % 33.18/9.14 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 33.18/9.14 | (516) ~ (all_0_47_47 = e3) % 33.18/9.14 | (314) ~ (all_0_55_55 = e3) % 33.18/9.14 | (368) all_0_49_49 = e2 % 33.18/9.14 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 33.18/9.14 | (520) ~ (unit = e3) % 33.18/9.14 | (521) ~ (all_0_52_52 = e3) % 33.18/9.14 | (455) ~ (all_0_46_46 = e3) % 33.18/9.14 | (432) ~ (all_0_40_40 = e3) % 33.18/9.14 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 33.18/9.14 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 33.18/9.14 | (526) ~ (all_0_56_56 = e3) % 33.18/9.14 | % 33.18/9.14 +-Applying beta-rule and splitting (1809), into two cases. % 33.18/9.14 |-Branch one: % 33.18/9.14 | (473) all_0_55_55 = e4 % 33.18/9.14 | % 33.18/9.14 | Equations (473) can reduce 492 to: % 33.18/9.14 | (303) $false % 33.18/9.14 | % 33.18/9.14 |-The branch is then unsatisfiable % 33.18/9.14 |-Branch two: % 33.18/9.14 | (492) ~ (all_0_55_55 = e4) % 33.18/9.14 | (4636) all_0_55_55 = e3 | all_0_55_55 = e1 % 33.18/9.14 | % 33.18/9.14 +-Applying beta-rule and splitting (1006), into two cases. % 33.18/9.14 |-Branch one: % 33.18/9.14 | (994) all_0_53_53 = e3 % 33.18/9.14 | % 33.18/9.14 | Equations (994) can reduce 131 to: % 33.18/9.14 | (313) ~ (all_0_55_55 = e3) % 33.18/9.14 | % 33.18/9.14 | Simplifying 313 yields: % 33.18/9.14 | (314) ~ (all_0_55_55 = e3) % 33.18/9.14 | % 33.18/9.14 | Equations (994) can reduce 274 to: % 33.18/9.14 | (223) ~ (e3 = e2) % 33.18/9.14 | % 33.18/9.14 | Equations (994) can reduce 140 to: % 33.18/9.14 | (70) ~ (e3 = e0) % 33.18/9.14 | % 33.18/9.14 +-Applying beta-rule and splitting (4636), into two cases. % 33.18/9.14 |-Branch one: % 33.18/9.14 | (530) all_0_55_55 = e1 % 33.18/9.14 | % 33.18/9.14 | Equations (530) can reduce 159 to: % 33.18/9.14 | (1050) ~ (all_0_60_60 = e1) % 33.18/9.14 | % 33.18/9.14 | Simplifying 1050 yields: % 33.18/9.14 | (501) ~ (all_0_60_60 = e1) % 33.18/9.14 | % 33.18/9.14 | Equations (530) can reduce 314 to: % 33.18/9.14 | (465) ~ (e3 = e1) % 33.18/9.14 | % 33.18/9.14 | Simplifying 465 yields: % 33.18/9.14 | (136) ~ (e3 = e1) % 33.18/9.14 | % 33.18/9.14 +-Applying beta-rule and splitting (195), into two cases. % 33.18/9.14 |-Branch one: % 33.18/9.14 | (2081) all_0_44_44 = e3 % 33.18/9.14 | % 33.18/9.14 | Combining equations (572,2081) yields a new equation: % 33.18/9.14 | (453) e3 = e2 % 33.18/9.14 | % 33.18/9.14 | Equations (453) can reduce 223 to: % 33.18/9.14 | (303) $false % 33.18/9.14 | % 33.18/9.14 |-The branch is then unsatisfiable % 33.18/9.14 |-Branch two: % 33.18/9.14 | (310) ~ (all_0_44_44 = e3) % 33.18/9.14 | (7006) all_0_47_47 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 33.18/9.14 | % 33.18/9.14 +-Applying beta-rule and splitting (515), into two cases. % 33.18/9.14 |-Branch one: % 33.18/9.14 | (316) ~ (all_0_60_60 = e3) % 33.18/9.14 | % 33.18/9.14 +-Applying beta-rule and splitting (220), into two cases. % 33.18/9.14 |-Branch one: % 33.18/9.14 | (913) all_0_60_60 = e2 % 33.18/9.14 | % 33.18/9.14 | Equations (913) can reduce 571 to: % 33.18/9.14 | (303) $false % 33.18/9.14 | % 33.18/9.14 |-The branch is then unsatisfiable % 33.18/9.14 |-Branch two: % 33.18/9.14 | (571) ~ (all_0_60_60 = e2) % 33.18/9.14 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 33.18/9.14 | % 33.18/9.14 +-Applying beta-rule and splitting (1275), into two cases. % 33.18/9.14 |-Branch one: % 33.18/9.14 | (1510) all_0_60_60 = e4 % 33.18/9.14 | % 33.18/9.14 | Equations (1510) can reduce 95 to: % 33.18/9.14 | (1504) ~ (all_0_51_51 = e4) % 33.18/9.14 | % 33.18/9.14 +-Applying beta-rule and splitting (722), into two cases. % 33.18/9.14 |-Branch one: % 33.18/9.14 | (714) all_0_50_50 = e4 % 33.18/9.14 | % 33.18/9.14 | Equations (714) can reduce 15 to: % 33.18/9.14 | (30) ~ (e4 = e3) % 33.18/9.14 | % 33.18/9.14 +-Applying beta-rule and splitting (7006), into two cases. % 33.18/9.14 |-Branch one: % 33.18/9.14 | (309) all_0_47_47 = e3 % 33.18/9.14 | % 33.18/9.14 | Combining equations (306,309) yields a new equation: % 33.18/9.14 | (497) e3 = e0 % 33.18/9.14 | % 33.18/9.14 | Equations (497) can reduce 70 to: % 33.18/9.14 | (303) $false % 33.18/9.14 | % 33.18/9.14 |-The branch is then unsatisfiable % 33.18/9.14 |-Branch two: % 33.18/9.14 | (516) ~ (all_0_47_47 = e3) % 33.18/9.14 | (7012) all_0_55_55 = e3 | all_0_60_60 = e3 % 33.18/9.14 | % 33.18/9.14 +-Applying beta-rule and splitting (7012), into two cases. % 33.18/9.14 |-Branch one: % 33.18/9.14 | (2165) all_0_55_55 = e3 % 33.18/9.14 | % 33.18/9.14 | Combining equations (530,2165) yields a new equation: % 33.18/9.14 | (601) e3 = e1 % 33.18/9.14 | % 33.18/9.14 | Equations (601) can reduce 136 to: % 33.18/9.14 | (303) $false % 33.18/9.14 | % 33.18/9.14 |-The branch is then unsatisfiable % 33.18/9.14 |-Branch two: % 33.18/9.14 | (314) ~ (all_0_55_55 = e3) % 33.18/9.14 | (1937) all_0_60_60 = e3 % 33.18/9.14 | % 33.18/9.14 | Combining equations (1937,1510) yields a new equation: % 33.18/9.14 | (443) e4 = e3 % 33.18/9.14 | % 33.18/9.14 | Equations (443) can reduce 30 to: % 33.18/9.14 | (303) $false % 33.18/9.14 | % 33.18/9.14 |-The branch is then unsatisfiable % 33.18/9.14 |-Branch two: % 33.18/9.14 | (611) ~ (all_0_50_50 = e4) % 33.18/9.14 | (1501) all_0_51_51 = e4 % 33.18/9.14 | % 33.18/9.14 | Equations (1501) can reduce 1504 to: % 33.18/9.14 | (303) $false % 33.18/9.14 | % 33.18/9.14 |-The branch is then unsatisfiable % 33.18/9.14 |-Branch two: % 33.18/9.14 | (350) ~ (all_0_60_60 = e4) % 33.18/9.14 | (1906) all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 33.18/9.14 | % 33.18/9.14 +-Applying beta-rule and splitting (1906), into two cases. % 33.18/9.14 |-Branch one: % 33.18/9.14 | (604) all_0_60_60 = e1 % 33.18/9.14 | % 33.18/9.14 | Equations (604) can reduce 501 to: % 33.18/9.14 | (303) $false % 33.18/9.14 | % 33.18/9.14 |-The branch is then unsatisfiable % 33.18/9.14 |-Branch two: % 33.18/9.14 | (501) ~ (all_0_60_60 = e1) % 33.18/9.14 | (1933) all_0_60_60 = e3 | all_0_60_60 = e0 % 33.18/9.14 | % 33.18/9.14 +-Applying beta-rule and splitting (1933), into two cases. % 33.18/9.14 |-Branch one: % 33.18/9.14 | (1934) all_0_60_60 = e0 % 33.18/9.14 | % 33.18/9.14 | Equations (1934) can reduce 414 to: % 33.18/9.14 | (303) $false % 33.18/9.14 | % 33.18/9.14 |-The branch is then unsatisfiable % 33.18/9.14 |-Branch two: % 33.18/9.14 | (414) ~ (all_0_60_60 = e0) % 33.18/9.14 | (1937) all_0_60_60 = e3 % 33.18/9.14 | % 33.18/9.14 | Equations (1937) can reduce 316 to: % 33.18/9.14 | (303) $false % 33.18/9.14 | % 33.18/9.14 |-The branch is then unsatisfiable % 33.18/9.14 |-Branch two: % 33.18/9.14 | (1937) all_0_60_60 = e3 % 33.18/9.14 | (407) all_0_57_57 = e0 % 33.18/9.14 | % 33.18/9.14 | Equations (407) can reduce 2273 to: % 33.18/9.14 | (303) $false % 33.18/9.14 | % 33.18/9.14 |-The branch is then unsatisfiable % 33.18/9.14 |-Branch two: % 33.18/9.14 | (464) ~ (all_0_55_55 = e1) % 33.18/9.14 | (2165) all_0_55_55 = e3 % 33.18/9.14 | % 33.18/9.14 | Equations (2165) can reduce 314 to: % 33.18/9.14 | (303) $false % 33.18/9.14 | % 33.18/9.14 |-The branch is then unsatisfiable % 33.18/9.14 |-Branch two: % 33.18/9.14 | (428) ~ (all_0_53_53 = e3) % 33.18/9.14 | (2165) all_0_55_55 = e3 % 33.18/9.14 | % 33.18/9.14 | Equations (2165) can reduce 314 to: % 33.18/9.14 | (303) $false % 33.18/9.14 | % 33.18/9.14 |-The branch is then unsatisfiable % 33.18/9.14 |-Branch two: % 33.18/9.14 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 33.18/9.14 | % 33.18/9.14 | Applying alpha-rule on (528) yields: % 33.18/9.14 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 33.18/9.14 | (530) all_0_55_55 = e1 % 33.18/9.14 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 33.18/9.14 | (387) ~ (all_0_49_49 = e0) % 33.18/9.14 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 33.18/9.14 | (534) ~ (all_0_45_45 = e0) % 33.18/9.14 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 33.18/9.14 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 33.18/9.15 | (537) ~ (unit = e0) % 33.18/9.15 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 33.18/9.15 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 33.18/9.15 | % 33.18/9.15 | Equations (530) can reduce 131 to: % 33.18/9.15 | (509) ~ (all_0_53_53 = e1) % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (363), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (462) all_0_53_53 = e1 % 33.18/9.15 | % 33.18/9.15 | Equations (462) can reduce 509 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (509) ~ (all_0_53_53 = e1) % 33.18/9.15 | (994) all_0_53_53 = e3 % 33.18/9.15 | % 33.18/9.15 | Equations (994) can reduce 274 to: % 33.18/9.15 | (223) ~ (e3 = e2) % 33.18/9.15 | % 33.18/9.15 | Equations (994) can reduce 509 to: % 33.18/9.15 | (136) ~ (e3 = e1) % 33.18/9.15 | % 33.18/9.15 | Equations (994) can reduce 140 to: % 33.18/9.15 | (70) ~ (e3 = e0) % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (195), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (2081) all_0_44_44 = e3 % 33.18/9.15 | % 33.18/9.15 | Combining equations (572,2081) yields a new equation: % 33.18/9.15 | (453) e3 = e2 % 33.18/9.15 | % 33.18/9.15 | Equations (453) can reduce 223 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (310) ~ (all_0_44_44 = e3) % 33.18/9.15 | (7006) all_0_47_47 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (7006), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (309) all_0_47_47 = e3 % 33.18/9.15 | % 33.18/9.15 | Combining equations (309,306) yields a new equation: % 33.18/9.15 | (496) e3 = e0 % 33.18/9.15 | % 33.18/9.15 | Simplifying 496 yields: % 33.18/9.15 | (497) e3 = e0 % 33.18/9.15 | % 33.18/9.15 | Equations (497) can reduce 70 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (516) ~ (all_0_47_47 = e3) % 33.18/9.15 | (7012) all_0_55_55 = e3 | all_0_60_60 = e3 % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (7012), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (2165) all_0_55_55 = e3 % 33.18/9.15 | % 33.18/9.15 | Combining equations (530,2165) yields a new equation: % 33.18/9.15 | (601) e3 = e1 % 33.18/9.15 | % 33.18/9.15 | Equations (601) can reduce 136 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (314) ~ (all_0_55_55 = e3) % 33.18/9.15 | (1937) all_0_60_60 = e3 % 33.18/9.15 | % 33.18/9.15 | Equations (1937) can reduce 571 to: % 33.18/9.15 | (223) ~ (e3 = e2) % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (531), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (332) ~ (all_0_58_58 = e0) % 33.18/9.15 | % 33.18/9.15 | Equations (989) can reduce 332 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (989) all_0_58_58 = e0 % 33.18/9.15 | (913) all_0_60_60 = e2 % 33.18/9.15 | % 33.18/9.15 | Combining equations (913,1937) yields a new equation: % 33.18/9.15 | (453) e3 = e2 % 33.18/9.15 | % 33.18/9.15 | Equations (453) can reduce 223 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 33.18/9.15 | % 33.18/9.15 | Applying alpha-rule on (543) yields: % 33.18/9.15 | (544) ~ (all_0_48_48 = e2) % 33.18/9.15 | (369) ~ (all_0_41_41 = e2) % 33.18/9.15 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 33.18/9.15 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 33.18/9.15 | (253) ~ (all_0_43_43 = e2) % 33.18/9.15 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 33.18/9.15 | (276) ~ (all_0_55_55 = e2) % 33.18/9.15 | (260) ~ (all_0_59_59 = e2) % 33.18/9.15 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 33.18/9.15 | (274) ~ (all_0_53_53 = e2) % 33.18/9.15 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 33.18/9.15 | (373) ~ (all_0_51_51 = e2) % 33.18/9.15 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 33.18/9.15 | (256) ~ (all_0_47_47 = e2) % 33.18/9.15 | (377) ~ (all_0_57_57 = e2) % 33.18/9.15 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 33.18/9.15 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 33.18/9.15 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 33.18/9.15 | (258) ~ (all_0_50_50 = e2) % 33.18/9.15 | (254) ~ (all_0_45_45 = e2) % 33.18/9.15 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (552), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (594) ~ (all_0_56_56 = e2) % 33.18/9.15 | % 33.18/9.15 | Equations (580) can reduce 594 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (580) all_0_56_56 = e2 % 33.18/9.15 | (597) all_0_58_58 = e4 & ~ (unit = e2) % 33.18/9.15 | % 33.18/9.15 | Applying alpha-rule on (597) yields: % 33.18/9.15 | (344) all_0_58_58 = e4 % 33.18/9.15 | (599) ~ (unit = e2) % 33.18/9.15 | % 33.18/9.15 | Combining equations (989,344) yields a new equation: % 33.18/9.15 | (654) e4 = e0 % 33.18/9.15 | % 33.18/9.15 | Equations (654) can reduce 4 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (683) ~ (all_0_40_40 = e1) % 33.18/9.15 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (175), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (624) all_0_40_40 = e1 % 33.18/9.15 | % 33.18/9.15 | Equations (624) can reduce 683 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (683) ~ (all_0_40_40 = e1) % 33.18/9.15 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (684), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (748) all_0_48_48 = e1 % 33.18/9.15 | % 33.18/9.15 | Combining equations (380,748) yields a new equation: % 33.18/9.15 | (590) e1 = e0 % 33.18/9.15 | % 33.18/9.15 | Equations (590) can reduce 134 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (802) ~ (all_0_48_48 = e1) % 33.18/9.15 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 33.18/9.15 | % 33.18/9.15 | Equations (380) can reduce 802 to: % 33.18/9.15 | (661) ~ (e1 = e0) % 33.18/9.15 | % 33.18/9.15 | Simplifying 661 yields: % 33.18/9.15 | (134) ~ (e1 = e0) % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (688), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (696) all_0_41_41 = e1 % 33.18/9.15 | % 33.18/9.15 | Combining equations (398,696) yields a new equation: % 33.18/9.15 | (590) e1 = e0 % 33.18/9.15 | % 33.18/9.15 | Equations (590) can reduce 134 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (699) ~ (all_0_41_41 = e1) % 33.18/9.15 | (700) all_0_43_43 = e1 | all_0_44_44 = e1 % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (700), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (618) all_0_43_43 = e1 % 33.18/9.15 | % 33.18/9.15 | Combining equations (447,618) yields a new equation: % 33.18/9.15 | (680) e3 = e1 % 33.18/9.15 | % 33.18/9.15 | Simplifying 680 yields: % 33.18/9.15 | (601) e3 = e1 % 33.18/9.15 | % 33.18/9.15 | Equations (601) can reduce 136 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (622) ~ (all_0_43_43 = e1) % 33.18/9.15 | (705) all_0_44_44 = e1 % 33.18/9.15 | % 33.18/9.15 | Combining equations (572,705) yields a new equation: % 33.18/9.15 | (584) e2 = e1 % 33.18/9.15 | % 33.18/9.15 | Simplifying 584 yields: % 33.18/9.15 | (585) e2 = e1 % 33.18/9.15 | % 33.18/9.15 | Equations (585) can reduce 144 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (594) ~ (all_0_56_56 = e2) % 33.18/9.15 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (44), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (624) all_0_40_40 = e1 % 33.18/9.15 | % 33.18/9.15 | Equations (624) can reduce 57 to: % 33.18/9.15 | (1799) ~ (all_0_56_56 = e1) % 33.18/9.15 | % 33.18/9.15 | Simplifying 1799 yields: % 33.18/9.15 | (587) ~ (all_0_56_56 = e1) % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (141), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (580) all_0_56_56 = e2 % 33.18/9.15 | % 33.18/9.15 | Equations (580) can reduce 594 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (594) ~ (all_0_56_56 = e2) % 33.18/9.15 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (979), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (877) all_0_56_56 = e4 % 33.18/9.15 | % 33.18/9.15 | Equations (877) can reduce 345 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (345) ~ (all_0_56_56 = e4) % 33.18/9.15 | (2325) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (2325), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (583) all_0_56_56 = e1 % 33.18/9.15 | % 33.18/9.15 | Equations (583) can reduce 587 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (587) ~ (all_0_56_56 = e1) % 33.18/9.15 | (2329) all_0_56_56 = e3 | all_0_56_56 = e0 % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (2329), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (2307) all_0_56_56 = e0 % 33.18/9.15 | % 33.18/9.15 | Equations (2307) can reduce 296 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (296) ~ (all_0_56_56 = e0) % 33.18/9.15 | (1111) all_0_56_56 = e3 % 33.18/9.15 | % 33.18/9.15 | Equations (1111) can reduce 526 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (683) ~ (all_0_40_40 = e1) % 33.18/9.15 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (688), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (696) all_0_41_41 = e1 % 33.18/9.15 | % 33.18/9.15 | Combining equations (398,696) yields a new equation: % 33.18/9.15 | (590) e1 = e0 % 33.18/9.15 | % 33.18/9.15 | Equations (590) can reduce 134 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (699) ~ (all_0_41_41 = e1) % 33.18/9.15 | (700) all_0_43_43 = e1 | all_0_44_44 = e1 % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (700), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (618) all_0_43_43 = e1 % 33.18/9.15 | % 33.18/9.15 | Combining equations (447,618) yields a new equation: % 33.18/9.15 | (680) e3 = e1 % 33.18/9.15 | % 33.18/9.15 | Simplifying 680 yields: % 33.18/9.15 | (601) e3 = e1 % 33.18/9.15 | % 33.18/9.15 | Equations (601) can reduce 136 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (622) ~ (all_0_43_43 = e1) % 33.18/9.15 | (705) all_0_44_44 = e1 % 33.18/9.15 | % 33.18/9.15 | Combining equations (572,705) yields a new equation: % 33.18/9.15 | (584) e2 = e1 % 33.18/9.15 | % 33.18/9.15 | Simplifying 584 yields: % 33.18/9.15 | (585) e2 = e1 % 33.18/9.15 | % 33.18/9.15 | Equations (585) can reduce 144 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (915) ~ (all_0_44_44 = e2) % 33.18/9.15 | (916) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (157), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (917) all_0_40_40 = e2 % 33.18/9.15 | % 33.18/9.15 | Equations (917) can reduce 124 to: % 33.18/9.15 | (4230) ~ (all_0_44_44 = e2) % 33.18/9.15 | % 33.18/9.15 | Simplifying 4230 yields: % 33.18/9.15 | (915) ~ (all_0_44_44 = e2) % 33.18/9.15 | % 33.18/9.15 | Equations (917) can reduce 57 to: % 33.18/9.15 | (2174) ~ (all_0_56_56 = e2) % 33.18/9.15 | % 33.18/9.15 | Simplifying 2174 yields: % 33.18/9.15 | (594) ~ (all_0_56_56 = e2) % 33.18/9.15 | % 33.18/9.15 | Equations (917) can reduce 844 to: % 33.18/9.15 | (261) ~ (e4 = e2) % 33.18/9.15 | % 33.18/9.15 | Simplifying 261 yields: % 33.18/9.15 | (231) ~ (e4 = e2) % 33.18/9.15 | % 33.18/9.15 | Equations (917) can reduce 432 to: % 33.18/9.15 | (577) ~ (e3 = e2) % 33.18/9.15 | % 33.18/9.15 | Simplifying 577 yields: % 33.18/9.15 | (223) ~ (e3 = e2) % 33.18/9.15 | % 33.18/9.15 | Equations (917) can reduce 288 to: % 33.18/9.15 | (51) ~ (e2 = e0) % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (175), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (624) all_0_40_40 = e1 % 33.18/9.15 | % 33.18/9.15 | Combining equations (917,624) yields a new equation: % 33.18/9.15 | (584) e2 = e1 % 33.18/9.15 | % 33.18/9.15 | Simplifying 584 yields: % 33.18/9.15 | (585) e2 = e1 % 33.18/9.15 | % 33.18/9.15 | Equations (585) can reduce 144 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (683) ~ (all_0_40_40 = e1) % 33.18/9.15 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 33.18/9.15 | % 33.18/9.15 | Equations (917) can reduce 683 to: % 33.18/9.15 | (144) ~ (e2 = e1) % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (141), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (580) all_0_56_56 = e2 % 33.18/9.15 | % 33.18/9.15 | Equations (580) can reduce 594 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (594) ~ (all_0_56_56 = e2) % 33.18/9.15 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (44), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (624) all_0_40_40 = e1 % 33.18/9.15 | % 33.18/9.15 | Combining equations (917,624) yields a new equation: % 33.18/9.15 | (584) e2 = e1 % 33.18/9.15 | % 33.18/9.15 | Simplifying 584 yields: % 33.18/9.15 | (585) e2 = e1 % 33.18/9.15 | % 33.18/9.15 | Equations (585) can reduce 144 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (683) ~ (all_0_40_40 = e1) % 33.18/9.15 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (87), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (572) all_0_44_44 = e2 % 33.18/9.15 | % 33.18/9.15 | Equations (572) can reduce 915 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (915) ~ (all_0_44_44 = e2) % 33.18/9.15 | (2069) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (61), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (580) all_0_56_56 = e2 % 33.18/9.15 | % 33.18/9.15 | Equations (580) can reduce 594 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (594) ~ (all_0_56_56 = e2) % 33.18/9.15 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (896), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (897) all_0_57_57 = e2 % 33.18/9.15 | % 33.18/9.15 | Equations (897) can reduce 377 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (377) ~ (all_0_57_57 = e2) % 33.18/9.15 | (902) all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (902), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (340) all_0_58_58 = e2 % 33.18/9.15 | % 33.18/9.15 | Combining equations (989,340) yields a new equation: % 33.18/9.15 | (385) e2 = e0 % 33.18/9.15 | % 33.18/9.15 | Equations (385) can reduce 51 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (278) ~ (all_0_58_58 = e2) % 33.18/9.15 | (908) all_0_59_59 = e2 | all_0_60_60 = e2 % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (908), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (909) all_0_59_59 = e2 % 33.18/9.15 | % 33.18/9.15 | Equations (909) can reduce 260 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (260) ~ (all_0_59_59 = e2) % 33.18/9.15 | (913) all_0_60_60 = e2 % 33.18/9.15 | % 33.18/9.15 | Equations (913) can reduce 95 to: % 33.18/9.15 | (373) ~ (all_0_51_51 = e2) % 33.18/9.15 | % 33.18/9.15 | Equations (913) can reduce 159 to: % 33.18/9.15 | (276) ~ (all_0_55_55 = e2) % 33.18/9.15 | % 33.18/9.15 | Equations (913) can reduce 164 to: % 33.18/9.15 | (260) ~ (all_0_59_59 = e2) % 33.18/9.15 | % 33.18/9.15 | From (913) and (170) follows: % 33.18/9.15 | (3491) op(e0, e0) = e2 % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (243), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (877) all_0_56_56 = e4 % 33.18/9.15 | % 33.18/9.15 | Equations (877) can reduce 345 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (345) ~ (all_0_56_56 = e4) % 33.18/9.15 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (209), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (1111) all_0_56_56 = e3 % 33.18/9.15 | % 33.18/9.15 | Equations (1111) can reduce 526 to: % 33.18/9.15 | (303) $false % 33.18/9.15 | % 33.18/9.15 |-The branch is then unsatisfiable % 33.18/9.15 |-Branch two: % 33.18/9.15 | (526) ~ (all_0_56_56 = e3) % 33.18/9.15 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 33.18/9.15 | % 33.18/9.15 +-Applying beta-rule and splitting (195), into two cases. % 33.18/9.15 |-Branch one: % 33.18/9.15 | (2081) all_0_44_44 = e3 % 33.18/9.15 | % 33.18/9.16 | Equations (2081) can reduce 310 to: % 33.18/9.16 | (303) $false % 33.18/9.16 | % 33.18/9.16 |-The branch is then unsatisfiable % 33.18/9.16 |-Branch two: % 33.18/9.16 | (310) ~ (all_0_44_44 = e3) % 33.18/9.16 | (7006) all_0_47_47 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 33.18/9.16 | % 33.18/9.16 +-Applying beta-rule and splitting (4489), into two cases. % 33.18/9.16 |-Branch one: % 33.18/9.16 | (344) all_0_58_58 = e4 % 33.18/9.16 | % 33.18/9.16 | Combining equations (344,989) yields a new equation: % 33.18/9.16 | (1573) e4 = e0 % 33.18/9.16 | % 33.18/9.16 | Simplifying 1573 yields: % 33.18/9.16 | (654) e4 = e0 % 33.18/9.16 | % 33.18/9.16 | Equations (654) can reduce 4 to: % 33.18/9.16 | (303) $false % 33.18/9.16 | % 33.18/9.16 |-The branch is then unsatisfiable % 33.18/9.16 |-Branch two: % 33.18/9.16 | (3161) ~ (all_0_58_58 = e4) % 33.18/9.16 | (4996) all_0_59_59 = e4 | all_0_60_60 = e4 % 33.18/9.16 | % 33.18/9.16 +-Applying beta-rule and splitting (7006), into two cases. % 33.18/9.16 |-Branch one: % 33.18/9.16 | (309) all_0_47_47 = e3 % 33.18/9.16 | % 33.18/9.16 | Combining equations (306,309) yields a new equation: % 33.18/9.16 | (497) e3 = e0 % 33.18/9.16 | % 33.18/9.16 | Equations (497) can reduce 70 to: % 33.18/9.16 | (303) $false % 33.18/9.16 | % 33.18/9.16 |-The branch is then unsatisfiable % 33.18/9.16 |-Branch two: % 33.18/9.16 | (516) ~ (all_0_47_47 = e3) % 33.18/9.16 | (7012) all_0_55_55 = e3 | all_0_60_60 = e3 % 33.18/9.16 | % 33.18/9.16 +-Applying beta-rule and splitting (2069), into two cases. % 33.18/9.16 |-Branch one: % 33.18/9.16 | (1096) all_0_44_44 = e4 % 33.18/9.16 | % 33.18/9.16 | Equations (1096) can reduce 474 to: % 33.18/9.16 | (303) $false % 33.18/9.16 | % 33.18/9.16 |-The branch is then unsatisfiable % 33.18/9.16 |-Branch two: % 33.18/9.16 | (474) ~ (all_0_44_44 = e4) % 33.18/9.16 | (2073) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 33.18/9.16 | % 33.18/9.16 +-Applying beta-rule and splitting (7012), into two cases. % 33.18/9.16 |-Branch one: % 33.18/9.16 | (2165) all_0_55_55 = e3 % 33.18/9.16 | % 33.18/9.16 | Equations (2165) can reduce 131 to: % 33.18/9.16 | (428) ~ (all_0_53_53 = e3) % 33.18/9.16 | % 33.18/9.16 | Equations (2165) can reduce 276 to: % 33.18/9.16 | (223) ~ (e3 = e2) % 33.18/9.16 | % 33.18/9.16 | From (2165) and (155) follows: % 33.18/9.16 | (7016) op(e3, e1) = all_0_29_29 % 33.18/9.16 | % 33.18/9.16 +-Applying beta-rule and splitting (2073), into two cases. % 33.18/9.16 |-Branch one: % 33.18/9.16 | (705) all_0_44_44 = e1 % 33.18/9.16 | % 33.18/9.16 | From (705) and (235) follows: % 33.18/9.16 | (3496) op(e1, e4) = all_0_7_7 % 33.18/9.16 | % 33.18/9.16 +-Applying beta-rule and splitting (1500), into two cases. % 33.18/9.16 |-Branch one: % 33.18/9.16 | (1501) all_0_51_51 = e4 % 33.18/9.16 | % 33.18/9.16 | Equations (1501) can reduce 373 to: % 33.18/9.16 | (231) ~ (e4 = e2) % 33.18/9.16 | % 33.18/9.16 | From (1501) and (122) follows: % 33.18/9.16 | (10153) op(e4, e2) = all_0_21_21 % 33.18/9.16 | % 33.18/9.16 | From (1501) and (66) follows: % 33.18/9.16 | (10154) op(e2, e0) = e4 % 33.18/9.16 | % 33.18/9.16 +-Applying beta-rule and splitting (4996), into two cases. % 33.18/9.16 |-Branch one: % 33.18/9.16 | (717) all_0_59_59 = e4 % 33.18/9.16 | % 33.18/9.16 | Equations (717) can reduce 1031 to: % 33.18/9.16 | (30) ~ (e4 = e3) % 33.18/9.16 | % 33.18/9.16 | From (717) and (33) follows: % 33.18/9.16 | (3321) op(e4, e1) = all_0_38_38 % 33.18/9.16 | % 33.18/9.16 | From (717) and (90) follows: % 33.18/9.16 | (3322) op(e0, e1) = e4 % 33.18/9.16 | % 33.18/9.16 +-Applying beta-rule and splitting (1491), into two cases. % 33.18/9.16 |-Branch one: % 33.18/9.16 | (1001) all_0_57_57 = e3 % 33.18/9.16 | % 33.18/9.16 | Equations (1001) can reduce 251 to: % 33.18/9.16 | (428) ~ (all_0_53_53 = e3) % 33.18/9.16 | % 33.18/9.16 | Equations (1001) can reduce 172 to: % 33.18/9.16 | (526) ~ (all_0_56_56 = e3) % 33.18/9.16 | % 33.18/9.16 +-Applying beta-rule and splitting (245), into two cases. % 33.18/9.16 |-Branch one: % 33.18/9.16 | (583) all_0_56_56 = e1 % 33.18/9.16 | % 33.18/9.16 | Equations (583) can reduce 526 to: % 33.18/9.16 | (465) ~ (e3 = e1) % 33.18/9.16 | % 33.18/9.16 | Simplifying 465 yields: % 33.18/9.16 | (136) ~ (e3 = e1) % 33.18/9.16 | % 33.18/9.16 | From (583) and (185) follows: % 33.18/9.16 | (3485) op(e1, e4) = all_0_32_32 % 33.18/9.16 | % 33.18/9.16 +-Applying beta-rule and splitting (1073), into two cases. % 33.18/9.16 |-Branch one: % 33.18/9.16 | (462) all_0_53_53 = e1 % 33.18/9.16 | % 33.18/9.16 | Equations (462) can reduce 274 to: % 33.18/9.16 | (565) ~ (e2 = e1) % 33.18/9.16 | % 33.18/9.16 | Simplifying 565 yields: % 33.18/9.16 | (144) ~ (e2 = e1) % 33.18/9.16 | % 33.18/9.16 | Equations (462) can reduce 140 to: % 33.18/9.16 | (134) ~ (e1 = e0) % 33.18/9.16 | % 33.18/9.16 | From (462) and (242) follows: % 33.18/9.16 | (3366) op(e1, e3) = all_0_26_26 % 33.18/9.16 | % 33.18/9.16 | From (462) and (224) follows: % 33.18/9.16 | (468) op(e1, e3) = e1 % 33.18/9.16 | % 33.18/9.16 | Instantiating formula (29) with e4, e2, all_0_21_21, e4 and discharging atoms op(e4, e2) = all_0_21_21, op(e4, e2) = e4, yields: % 33.18/9.16 | (422) all_0_21_21 = e4 % 33.18/9.16 | % 33.18/9.16 | Instantiating formula (29) with e4, e1, all_0_38_38, e3 and discharging atoms op(e4, e1) = all_0_38_38, op(e4, e1) = e3, yields: % 33.18/9.16 | (3329) all_0_38_38 = e3 % 33.18/9.16 | % 33.18/9.16 | Instantiating formula (29) with e3, e1, all_0_29_29, e2 and discharging atoms op(e3, e1) = all_0_29_29, op(e3, e1) = e2, yields: % 33.18/9.16 | (7025) all_0_29_29 = e2 % 33.18/9.16 | % 33.18/9.16 | Instantiating formula (29) with e1, e4, all_0_7_7, e4 and discharging atoms op(e1, e4) = all_0_7_7, op(e1, e4) = e4, yields: % 33.18/9.16 | (10175) all_0_7_7 = e4 % 33.18/9.16 | % 33.18/9.16 | Instantiating formula (29) with e1, e4, all_0_32_32, all_0_7_7 and discharging atoms op(e1, e4) = all_0_7_7, op(e1, e4) = all_0_32_32, yields: % 33.18/9.16 | (3592) all_0_7_7 = all_0_32_32 % 33.18/9.16 | % 33.18/9.16 | Instantiating formula (29) with e1, e3, e1, all_0_26_26 and discharging atoms op(e1, e3) = all_0_26_26, op(e1, e3) = e1, yields: % 33.18/9.16 | (3585) all_0_26_26 = e1 % 33.18/9.16 | % 33.18/9.16 | Combining equations (10175,3592) yields a new equation: % 33.18/9.16 | (10178) all_0_32_32 = e4 % 33.18/9.16 | % 33.18/9.16 | From (422) and (10153) follows: % 33.18/9.16 | (3186) op(e4, e2) = e4 % 33.18/9.16 | % 33.18/9.16 | From (3329) and (3321) follows: % 33.18/9.16 | (3299) op(e4, e1) = e3 % 33.18/9.16 | % 33.18/9.16 | From (7025) and (7016) follows: % 33.18/9.16 | (266) op(e3, e1) = e2 % 33.18/9.16 | % 33.18/9.16 | From (10178) and (3485) follows: % 33.18/9.16 | (649) op(e1, e4) = e4 % 33.18/9.16 | % 33.18/9.16 | From (3585) and (3366) follows: % 33.18/9.16 | (468) op(e1, e3) = e1 % 33.18/9.16 | % 33.18/9.16 +-Applying beta-rule and splitting (62), into two cases. % 33.18/9.16 |-Branch one: % 33.18/9.16 | (631) unit = e2 % 33.18/9.16 | % 33.18/9.16 | From (631) and (98) follows: % 33.18/9.16 | (5015) op(e3, e2) = e3 % 33.18/9.16 | % 33.18/9.16 | From (631) and (74) follows: % 33.18/9.16 | (2715) op(e2, e2) = e2 % 33.18/9.16 | % 33.18/9.16 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 33.18/9.16 | (601) e3 = e1 % 33.18/9.16 | % 33.18/9.16 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 33.18/9.16 | (453) e3 = e2 % 33.18/9.16 | % 33.18/9.16 | Combining equations (453,601) yields a new equation: % 33.18/9.16 | (584) e2 = e1 % 33.18/9.16 | % 33.18/9.16 | Simplifying 584 yields: % 33.18/9.16 | (585) e2 = e1 % 33.18/9.16 | % 33.18/9.16 | Equations (585) can reduce 144 to: % 33.18/9.16 | (303) $false % 33.18/9.16 | % 33.18/9.16 |-The branch is then unsatisfiable % 33.18/9.16 |-Branch two: % 33.18/9.16 | (599) ~ (unit = e2) % 33.18/9.16 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 33.18/9.16 | % 33.18/9.16 +-Applying beta-rule and splitting (634), into two cases. % 33.18/9.16 |-Branch one: % 33.18/9.16 | (635) unit = e4 % 33.18/9.16 | % 33.18/9.16 | From (635) and (147) follows: % 33.18/9.16 | (1176) op(e4, e2) = e2 % 33.18/9.16 | % 33.18/9.16 | From (635) and (74) follows: % 33.18/9.16 | (637) op(e2, e4) = e2 % 33.18/9.16 | % 33.18/9.16 | From (635) and (190) follows: % 33.18/9.16 | (1178) op(e1, e4) = e1 % 33.18/9.16 | % 33.18/9.16 | Instantiating formula (29) with e4, e2, e2, e4 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 33.18/9.16 | (470) e4 = e2 % 33.18/9.16 | % 33.18/9.16 | Instantiating formula (29) with e2, e4, e2, e0 and discharging atoms op(e2, e4) = e2, op(e2, e4) = e0, yields: % 33.18/9.16 | (385) e2 = e0 % 33.18/9.16 | % 33.18/9.16 | Instantiating formula (29) with e1, e4, e1, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields: % 33.18/9.16 | (541) e4 = e1 % 33.18/9.16 | % 33.18/9.16 | Combining equations (470,541) yields a new equation: % 33.18/9.16 | (584) e2 = e1 % 33.18/9.16 | % 33.18/9.16 | Simplifying 584 yields: % 33.18/9.16 | (585) e2 = e1 % 33.18/9.16 | % 33.18/9.16 | Combining equations (585,385) yields a new equation: % 33.18/9.16 | (670) e1 = e0 % 33.18/9.16 | % 33.18/9.16 | Simplifying 670 yields: % 33.18/9.16 | (590) e1 = e0 % 33.18/9.16 | % 33.18/9.16 | Equations (590) can reduce 134 to: % 33.18/9.16 | (303) $false % 33.18/9.16 | % 33.18/9.16 |-The branch is then unsatisfiable % 33.18/9.16 |-Branch two: % 33.18/9.16 | (484) ~ (unit = e4) % 33.18/9.16 | (647) unit = e3 | unit = e1 | unit = e0 % 33.18/9.16 | % 33.18/9.16 +-Applying beta-rule and splitting (647), into two cases. % 33.18/9.16 |-Branch one: % 33.18/9.16 | (648) unit = e1 % 33.18/9.16 | % 33.18/9.16 | From (648) and (232) follows: % 33.18/9.16 | (650) op(e1, e3) = e3 % 33.18/9.16 | % 33.18/9.16 | From (648) and (130) follows: % 33.18/9.16 | (617) op(e4, e1) = e4 % 33.18/9.16 | % 33.18/9.16 | From (648) and (111) follows: % 33.18/9.16 | (770) op(e0, e1) = e0 % 33.18/9.16 | % 33.18/9.16 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 33.18/9.16 | (443) e4 = e3 % 33.18/9.16 | % 33.18/9.16 | Instantiating formula (29) with e1, e3, e3, e1 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 33.18/9.16 | (601) e3 = e1 % 33.18/9.16 | % 33.18/9.16 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 33.18/9.16 | (654) e4 = e0 % 33.18/9.16 | % 33.18/9.16 | Combining equations (443,654) yields a new equation: % 33.18/9.16 | (496) e3 = e0 % 33.18/9.16 | % 33.18/9.16 | Simplifying 496 yields: % 33.18/9.16 | (497) e3 = e0 % 33.18/9.16 | % 33.18/9.16 | Combining equations (497,601) yields a new equation: % 33.18/9.17 | (590) e1 = e0 % 33.18/9.17 | % 33.18/9.17 | Equations (590) can reduce 134 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (510) ~ (unit = e1) % 33.18/9.17 | (659) unit = e3 | unit = e0 % 33.18/9.17 | % 33.18/9.17 +-Applying beta-rule and splitting (659), into two cases. % 33.18/9.17 |-Branch one: % 33.18/9.17 | (660) unit = e0 % 33.18/9.17 | % 33.18/9.17 | Equations (660) can reduce 510 to: % 33.18/9.17 | (661) ~ (e1 = e0) % 33.18/9.17 | % 33.18/9.17 | Simplifying 661 yields: % 33.18/9.17 | (134) ~ (e1 = e0) % 33.18/9.17 | % 33.18/9.17 | From (660) and (38) follows: % 33.18/9.17 | (2749) op(e0, e1) = e1 % 33.18/9.17 | % 33.18/9.17 | From (660) and (74) follows: % 33.18/9.17 | (664) op(e2, e0) = e2 % 33.18/9.17 | % 33.18/9.17 | From (660) and (111) follows: % 33.18/9.17 | (3633) op(e0, e0) = e0 % 33.18/9.17 | % 33.18/9.17 | Instantiating formula (29) with e2, e0, e2, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e2, yields: % 33.18/9.17 | (470) e4 = e2 % 33.18/9.17 | % 33.18/9.17 | Instantiating formula (29) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields: % 33.18/9.17 | (541) e4 = e1 % 33.18/9.17 | % 33.18/9.17 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 33.18/9.17 | (385) e2 = e0 % 33.18/9.17 | % 33.18/9.17 | Combining equations (470,541) yields a new equation: % 33.18/9.17 | (584) e2 = e1 % 33.18/9.17 | % 33.18/9.17 | Simplifying 584 yields: % 33.18/9.17 | (585) e2 = e1 % 33.18/9.17 | % 33.18/9.17 | Combining equations (385,585) yields a new equation: % 33.18/9.17 | (590) e1 = e0 % 33.18/9.17 | % 33.18/9.17 | Equations (590) can reduce 134 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (537) ~ (unit = e0) % 33.18/9.17 | (674) unit = e3 % 33.18/9.17 | % 33.18/9.17 | From (674) and (38) follows: % 33.18/9.17 | (675) op(e3, e1) = e1 % 33.18/9.17 | % 33.18/9.17 | Instantiating formula (29) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 33.18/9.17 | (585) e2 = e1 % 33.18/9.17 | % 33.18/9.17 | Equations (585) can reduce 144 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (509) ~ (all_0_53_53 = e1) % 33.18/9.17 | (530) all_0_55_55 = e1 % 33.18/9.17 | % 33.18/9.17 | Combining equations (530,2165) yields a new equation: % 33.18/9.17 | (601) e3 = e1 % 33.18/9.17 | % 33.18/9.17 | Equations (601) can reduce 136 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (587) ~ (all_0_56_56 = e1) % 33.18/9.17 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 33.18/9.17 | % 33.18/9.17 +-Applying beta-rule and splitting (363), into two cases. % 33.18/9.17 |-Branch one: % 33.18/9.17 | (462) all_0_53_53 = e1 % 33.18/9.17 | % 33.18/9.17 | Equations (462) can reduce 229 to: % 33.18/9.17 | (605) ~ (e4 = e1) % 33.18/9.17 | % 33.18/9.17 | Simplifying 605 yields: % 33.18/9.17 | (247) ~ (e4 = e1) % 33.18/9.17 | % 33.18/9.17 | Equations (462) can reduce 140 to: % 33.18/9.17 | (134) ~ (e1 = e0) % 33.18/9.17 | % 33.18/9.17 +-Applying beta-rule and splitting (684), into two cases. % 33.18/9.17 |-Branch one: % 33.18/9.17 | (748) all_0_48_48 = e1 % 33.18/9.17 | % 33.18/9.17 | Combining equations (380,748) yields a new equation: % 33.18/9.17 | (590) e1 = e0 % 33.18/9.17 | % 33.18/9.17 | Equations (590) can reduce 134 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (802) ~ (all_0_48_48 = e1) % 33.18/9.17 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 33.18/9.17 | % 33.18/9.17 +-Applying beta-rule and splitting (807), into two cases. % 33.18/9.17 |-Branch one: % 33.18/9.17 | (1070) all_0_52_52 = e1 % 33.18/9.17 | % 33.18/9.17 | Combining equations (1070,442) yields a new equation: % 33.18/9.17 | (541) e4 = e1 % 33.18/9.17 | % 33.18/9.17 | Equations (541) can reduce 247 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (502) ~ (all_0_52_52 = e1) % 33.18/9.17 | (583) all_0_56_56 = e1 % 33.18/9.17 | % 33.18/9.17 | Equations (583) can reduce 587 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (509) ~ (all_0_53_53 = e1) % 33.18/9.17 | (994) all_0_53_53 = e3 % 33.18/9.17 | % 33.18/9.17 | Equations (994) can reduce 428 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (2590) ~ (all_0_57_57 = e3) % 33.18/9.17 | (2977) all_0_59_59 = e3 | all_0_60_60 = e3 % 33.18/9.17 | % 33.18/9.17 +-Applying beta-rule and splitting (2977), into two cases. % 33.18/9.17 |-Branch one: % 33.18/9.17 | (456) all_0_59_59 = e3 % 33.18/9.17 | % 33.18/9.17 | Combining equations (717,456) yields a new equation: % 33.18/9.17 | (718) e4 = e3 % 33.18/9.17 | % 33.18/9.17 | Simplifying 718 yields: % 33.18/9.17 | (443) e4 = e3 % 33.18/9.17 | % 33.18/9.17 | Equations (443) can reduce 30 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (1031) ~ (all_0_59_59 = e3) % 33.18/9.17 | (1937) all_0_60_60 = e3 % 33.18/9.17 | % 33.18/9.17 | Combining equations (1937,913) yields a new equation: % 33.18/9.17 | (452) e3 = e2 % 33.18/9.17 | % 33.18/9.17 | Simplifying 452 yields: % 33.18/9.17 | (453) e3 = e2 % 33.18/9.17 | % 33.18/9.17 | Equations (453) can reduce 223 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (348) ~ (all_0_59_59 = e4) % 33.18/9.17 | (1510) all_0_60_60 = e4 % 33.18/9.17 | % 33.18/9.17 | Combining equations (1510,913) yields a new equation: % 33.18/9.17 | (878) e4 = e2 % 33.18/9.17 | % 33.18/9.17 | Simplifying 878 yields: % 33.18/9.17 | (470) e4 = e2 % 33.18/9.17 | % 33.18/9.17 | Equations (470) can reduce 231 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (1504) ~ (all_0_51_51 = e4) % 33.18/9.17 | (1505) all_0_55_55 = e4 | all_0_60_60 = e4 % 33.18/9.17 | % 33.18/9.17 +-Applying beta-rule and splitting (4996), into two cases. % 33.18/9.17 |-Branch one: % 33.18/9.17 | (717) all_0_59_59 = e4 % 33.18/9.17 | % 33.18/9.17 | Equations (717) can reduce 1031 to: % 33.18/9.17 | (30) ~ (e4 = e3) % 33.18/9.17 | % 33.18/9.17 | Equations (717) can reduce 260 to: % 33.18/9.17 | (231) ~ (e4 = e2) % 33.18/9.17 | % 33.18/9.17 +-Applying beta-rule and splitting (1505), into two cases. % 33.18/9.17 |-Branch one: % 33.18/9.17 | (473) all_0_55_55 = e4 % 33.18/9.17 | % 33.18/9.17 | Combining equations (2165,473) yields a new equation: % 33.18/9.17 | (443) e4 = e3 % 33.18/9.17 | % 33.18/9.17 | Equations (443) can reduce 30 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (492) ~ (all_0_55_55 = e4) % 33.18/9.17 | (1510) all_0_60_60 = e4 % 33.18/9.17 | % 33.18/9.17 | Combining equations (1510,913) yields a new equation: % 33.18/9.17 | (878) e4 = e2 % 33.18/9.17 | % 33.18/9.17 | Simplifying 878 yields: % 33.18/9.17 | (470) e4 = e2 % 33.18/9.17 | % 33.18/9.17 | Equations (470) can reduce 231 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (348) ~ (all_0_59_59 = e4) % 33.18/9.17 | (1510) all_0_60_60 = e4 % 33.18/9.17 | % 33.18/9.17 | Combining equations (1510,913) yields a new equation: % 33.18/9.17 | (878) e4 = e2 % 33.18/9.17 | % 33.18/9.17 | Simplifying 878 yields: % 33.18/9.17 | (470) e4 = e2 % 33.18/9.17 | % 33.18/9.17 | Equations (470) can reduce 231 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (512) ~ (all_0_44_44 = e1) % 33.18/9.17 | (2077) all_0_44_44 = e3 | all_0_44_44 = e0 % 33.18/9.17 | % 33.18/9.17 +-Applying beta-rule and splitting (688), into two cases. % 33.18/9.17 |-Branch one: % 33.18/9.17 | (696) all_0_41_41 = e1 % 33.18/9.17 | % 33.18/9.17 | Combining equations (398,696) yields a new equation: % 33.18/9.17 | (590) e1 = e0 % 33.18/9.17 | % 33.18/9.17 | Equations (590) can reduce 134 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (699) ~ (all_0_41_41 = e1) % 33.18/9.17 | (700) all_0_43_43 = e1 | all_0_44_44 = e1 % 33.18/9.17 | % 33.18/9.17 +-Applying beta-rule and splitting (363), into two cases. % 33.18/9.17 |-Branch one: % 33.18/9.17 | (462) all_0_53_53 = e1 % 33.18/9.17 | % 33.18/9.17 | Equations (462) can reduce 428 to: % 33.18/9.17 | (465) ~ (e3 = e1) % 33.18/9.17 | % 33.18/9.17 | Simplifying 465 yields: % 33.18/9.17 | (136) ~ (e3 = e1) % 33.18/9.17 | % 33.18/9.17 +-Applying beta-rule and splitting (700), into two cases. % 33.18/9.17 |-Branch one: % 33.18/9.17 | (618) all_0_43_43 = e1 % 33.18/9.17 | % 33.18/9.17 | Combining equations (447,618) yields a new equation: % 33.18/9.17 | (680) e3 = e1 % 33.18/9.17 | % 33.18/9.17 | Simplifying 680 yields: % 33.18/9.17 | (601) e3 = e1 % 33.18/9.17 | % 33.18/9.17 | Equations (601) can reduce 136 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (622) ~ (all_0_43_43 = e1) % 33.18/9.17 | (705) all_0_44_44 = e1 % 33.18/9.17 | % 33.18/9.17 | Equations (705) can reduce 512 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (509) ~ (all_0_53_53 = e1) % 33.18/9.17 | (994) all_0_53_53 = e3 % 33.18/9.17 | % 33.18/9.17 | Equations (994) can reduce 428 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (314) ~ (all_0_55_55 = e3) % 33.18/9.17 | (1937) all_0_60_60 = e3 % 33.18/9.17 | % 33.18/9.17 | Combining equations (1937,913) yields a new equation: % 33.18/9.17 | (452) e3 = e2 % 33.18/9.17 | % 33.18/9.17 | Simplifying 452 yields: % 33.18/9.17 | (453) e3 = e2 % 33.18/9.17 | % 33.18/9.17 | Equations (453) can reduce 223 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (939) ~ (all_0_40_40 = e2) % 33.18/9.17 | (940) all_0_41_41 = e2 | all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 33.18/9.17 | % 33.18/9.17 +-Applying beta-rule and splitting (916), into two cases. % 33.18/9.17 |-Branch one: % 33.18/9.17 | (302) all_0_47_47 = e2 % 33.18/9.17 | % 33.18/9.17 | Combining equations (302,306) yields a new equation: % 33.18/9.17 | (403) e2 = e0 % 33.18/9.17 | % 33.18/9.17 | Simplifying 403 yields: % 33.18/9.17 | (385) e2 = e0 % 33.18/9.17 | % 33.18/9.17 | Equations (385) can reduce 51 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (256) ~ (all_0_47_47 = e2) % 33.18/9.17 | (926) all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 33.18/9.17 | % 33.18/9.17 | Equations (306) can reduce 256 to: % 33.18/9.17 | (335) ~ (e2 = e0) % 33.18/9.17 | % 33.18/9.17 | Simplifying 335 yields: % 33.18/9.17 | (51) ~ (e2 = e0) % 33.18/9.17 | % 33.18/9.17 +-Applying beta-rule and splitting (940), into two cases. % 33.18/9.17 |-Branch one: % 33.18/9.17 | (945) all_0_41_41 = e2 % 33.18/9.17 | % 33.18/9.17 | Combining equations (398,945) yields a new equation: % 33.18/9.17 | (385) e2 = e0 % 33.18/9.17 | % 33.18/9.17 | Equations (385) can reduce 51 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (369) ~ (all_0_41_41 = e2) % 33.18/9.17 | (949) all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 33.18/9.17 | % 33.18/9.17 +-Applying beta-rule and splitting (949), into two cases. % 33.18/9.17 |-Branch one: % 33.18/9.17 | (959) all_0_42_42 = e2 % 33.18/9.17 | % 33.18/9.17 | Combining equations (3175,959) yields a new equation: % 33.18/9.17 | (878) e4 = e2 % 33.18/9.17 | % 33.18/9.17 | Simplifying 878 yields: % 33.18/9.17 | (470) e4 = e2 % 33.18/9.17 | % 33.18/9.17 | Equations (470) can reduce 231 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (272) ~ (all_0_42_42 = e2) % 33.18/9.17 | (964) all_0_43_43 = e2 | all_0_44_44 = e2 % 33.18/9.17 | % 33.18/9.17 +-Applying beta-rule and splitting (964), into two cases. % 33.18/9.17 |-Branch one: % 33.18/9.17 | (965) all_0_43_43 = e2 % 33.18/9.17 | % 33.18/9.17 | Combining equations (965,447) yields a new equation: % 33.18/9.17 | (453) e3 = e2 % 33.18/9.17 | % 33.18/9.17 | Equations (453) can reduce 223 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (253) ~ (all_0_43_43 = e2) % 33.18/9.17 | (572) all_0_44_44 = e2 % 33.18/9.17 | % 33.18/9.17 | Equations (572) can reduce 915 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (445) ~ (all_0_52_52 = e4) % 33.18/9.17 | (446) all_0_54_54 = e4 | all_0_55_55 = e4 % 33.18/9.17 | % 33.18/9.17 +-Applying beta-rule and splitting (24), into two cases. % 33.18/9.17 |-Branch one: % 33.18/9.17 | (980) all_0_52_52 = e2 % 33.18/9.17 | % 33.18/9.17 | Equations (980) can reduce 273 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (273) ~ (all_0_52_52 = e2) % 33.18/9.17 | (1772) all_0_52_52 = e4 | all_0_52_52 = e3 | all_0_52_52 = e1 % 33.18/9.17 | % 33.18/9.17 +-Applying beta-rule and splitting (446), into two cases. % 33.18/9.17 |-Branch one: % 33.18/9.17 | (469) all_0_54_54 = e4 % 33.18/9.17 | % 33.18/9.17 | Combining equations (271,469) yields a new equation: % 33.18/9.17 | (470) e4 = e2 % 33.18/9.17 | % 33.18/9.17 | Equations (470) can reduce 231 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (472) ~ (all_0_54_54 = e4) % 33.18/9.17 | (473) all_0_55_55 = e4 % 33.18/9.17 | % 33.18/9.17 | Equations (473) can reduce 13 to: % 33.18/9.17 | (1504) ~ (all_0_51_51 = e4) % 33.18/9.17 | % 33.18/9.17 | Equations (473) can reduce 169 to: % 33.18/9.17 | (445) ~ (all_0_52_52 = e4) % 33.18/9.17 | % 33.18/9.17 +-Applying beta-rule and splitting (64), into two cases. % 33.18/9.17 |-Branch one: % 33.18/9.17 | (425) all_0_52_52 = e3 % 33.18/9.17 | % 33.18/9.17 | Equations (425) can reduce 521 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (521) ~ (all_0_52_52 = e3) % 33.18/9.17 | (1006) all_0_53_53 = e3 | all_0_55_55 = e3 % 33.18/9.17 | % 33.18/9.17 +-Applying beta-rule and splitting (1772), into two cases. % 33.18/9.17 |-Branch one: % 33.18/9.17 | (442) all_0_52_52 = e4 % 33.18/9.17 | % 33.18/9.17 | Equations (442) can reduce 445 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (445) ~ (all_0_52_52 = e4) % 33.18/9.17 | (1795) all_0_52_52 = e3 | all_0_52_52 = e1 % 33.18/9.17 | % 33.18/9.17 +-Applying beta-rule and splitting (195), into two cases. % 33.18/9.17 |-Branch one: % 33.18/9.17 | (2081) all_0_44_44 = e3 % 33.18/9.17 | % 33.18/9.17 | Equations (2081) can reduce 310 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (310) ~ (all_0_44_44 = e3) % 33.18/9.17 | (7006) all_0_47_47 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 33.18/9.17 | % 33.18/9.17 +-Applying beta-rule and splitting (7006), into two cases. % 33.18/9.17 |-Branch one: % 33.18/9.17 | (309) all_0_47_47 = e3 % 33.18/9.17 | % 33.18/9.17 | Combining equations (306,309) yields a new equation: % 33.18/9.17 | (497) e3 = e0 % 33.18/9.17 | % 33.18/9.17 | Equations (497) can reduce 70 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (516) ~ (all_0_47_47 = e3) % 33.18/9.17 | (7012) all_0_55_55 = e3 | all_0_60_60 = e3 % 33.18/9.17 | % 33.18/9.17 +-Applying beta-rule and splitting (7012), into two cases. % 33.18/9.17 |-Branch one: % 33.18/9.17 | (2165) all_0_55_55 = e3 % 33.18/9.17 | % 33.18/9.17 | Combining equations (2165,473) yields a new equation: % 33.18/9.17 | (443) e4 = e3 % 33.18/9.17 | % 33.18/9.17 | Equations (443) can reduce 30 to: % 33.18/9.17 | (303) $false % 33.18/9.17 | % 33.18/9.17 |-The branch is then unsatisfiable % 33.18/9.17 |-Branch two: % 33.18/9.17 | (314) ~ (all_0_55_55 = e3) % 33.18/9.17 | (1937) all_0_60_60 = e3 % 33.18/9.18 | % 33.18/9.18 | Equations (1937) can reduce 81 to: % 33.18/9.18 | (2590) ~ (all_0_57_57 = e3) % 33.18/9.18 | % 33.18/9.18 +-Applying beta-rule and splitting (250), into two cases. % 33.18/9.18 |-Branch one: % 33.18/9.18 | (897) all_0_57_57 = e2 % 33.18/9.18 | % 33.18/9.18 | Equations (897) can reduce 377 to: % 33.18/9.18 | (303) $false % 33.18/9.18 | % 33.18/9.18 |-The branch is then unsatisfiable % 33.18/9.18 |-Branch two: % 33.18/9.18 | (377) ~ (all_0_57_57 = e2) % 33.18/9.18 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 33.18/9.18 | % 33.18/9.18 +-Applying beta-rule and splitting (112), into two cases. % 33.18/9.18 |-Branch one: % 33.18/9.18 | (572) all_0_44_44 = e2 % 33.18/9.18 | % 33.18/9.18 | Equations (572) can reduce 124 to: % 33.18/9.18 | (939) ~ (all_0_40_40 = e2) % 33.18/9.18 | % 33.18/9.18 | Equations (572) can reduce 161 to: % 33.18/9.18 | (372) ~ (all_0_51_51 = e2) % 33.18/9.18 | % 33.18/9.18 | Simplifying 372 yields: % 33.18/9.18 | (373) ~ (all_0_51_51 = e2) % 33.18/9.18 | % 33.18/9.18 +-Applying beta-rule and splitting (166), into two cases. % 33.18/9.18 |-Branch one: % 33.18/9.18 | (927) all_0_51_51 = e2 % 33.18/9.18 | % 33.18/9.18 | Equations (927) can reduce 373 to: % 33.18/9.18 | (303) $false % 33.18/9.18 | % 33.18/9.18 |-The branch is then unsatisfiable % 33.18/9.18 |-Branch two: % 33.18/9.18 | (373) ~ (all_0_51_51 = e2) % 33.18/9.18 | (6448) all_0_51_51 = e4 | all_0_51_51 = e1 | all_0_51_51 = e0 % 33.18/9.18 | % 33.18/9.18 +-Applying beta-rule and splitting (56), into two cases. % 33.18/9.18 |-Branch one: % 33.18/9.18 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 33.18/9.18 | % 33.18/9.18 +-Applying beta-rule and splitting (480), into two cases. % 33.18/9.18 |-Branch one: % 33.18/9.18 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 33.18/9.18 | % 33.18/9.18 +-Applying beta-rule and splitting (481), into two cases. % 33.18/9.18 |-Branch one: % 33.18/9.18 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 33.18/9.18 | % 33.18/9.18 +-Applying beta-rule and splitting (482), into two cases. % 33.18/9.18 |-Branch one: % 33.18/9.18 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 33.18/9.18 | % 33.18/9.18 | Applying alpha-rule on (483) yields: % 33.18/9.18 | (484) ~ (unit = e4) % 33.18/9.18 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 33.18/9.18 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 33.18/9.18 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 33.18/9.18 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 33.18/9.18 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 33.18/9.18 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 33.18/9.18 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 33.18/9.18 | (492) ~ (all_0_55_55 = e4) % 33.18/9.18 | (493) all_0_45_45 = e3 % 33.18/9.18 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 33.18/9.18 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 33.18/9.18 | % 33.18/9.18 | Equations (473) can reduce 492 to: % 33.18/9.18 | (303) $false % 33.18/9.18 | % 33.18/9.18 |-The branch is then unsatisfiable % 33.18/9.18 |-Branch two: % 33.18/9.18 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 33.18/9.18 | % 33.18/9.18 | Applying alpha-rule on (499) yields: % 33.18/9.18 | (500) ~ (all_0_51_51 = e1) % 33.18/9.18 | (501) ~ (all_0_60_60 = e1) % 33.18/9.18 | (502) ~ (all_0_52_52 = e1) % 33.18/9.18 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 33.18/9.18 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 33.18/9.18 | (252) all_0_46_46 = e2 % 33.18/9.18 | (506) ~ (all_0_49_49 = e1) % 33.18/9.18 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 33.18/9.18 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 33.18/9.18 | (509) ~ (all_0_53_53 = e1) % 33.18/9.18 | (510) ~ (unit = e1) % 33.18/9.18 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 33.18/9.18 | (512) ~ (all_0_44_44 = e1) % 33.18/9.18 | % 33.18/9.18 +-Applying beta-rule and splitting (1795), into two cases. % 33.18/9.18 |-Branch one: % 33.18/9.18 | (1070) all_0_52_52 = e1 % 33.18/9.18 | % 33.18/9.18 | Equations (1070) can reduce 502 to: % 33.18/9.18 | (303) $false % 33.18/9.18 | % 33.18/9.18 |-The branch is then unsatisfiable % 33.18/9.18 |-Branch two: % 33.18/9.18 | (502) ~ (all_0_52_52 = e1) % 33.18/9.18 | (425) all_0_52_52 = e3 % 33.18/9.18 | % 33.18/9.18 | Equations (425) can reduce 521 to: % 33.18/9.18 | (303) $false % 33.18/9.18 | % 33.18/9.18 |-The branch is then unsatisfiable % 33.18/9.18 |-Branch two: % 33.18/9.18 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 33.18/9.18 | % 33.18/9.18 | Applying alpha-rule on (514) yields: % 33.18/9.18 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 33.18/9.18 | (516) ~ (all_0_47_47 = e3) % 33.18/9.18 | (314) ~ (all_0_55_55 = e3) % 33.18/9.18 | (368) all_0_49_49 = e2 % 33.18/9.18 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 33.18/9.18 | (520) ~ (unit = e3) % 33.18/9.18 | (521) ~ (all_0_52_52 = e3) % 33.18/9.18 | (455) ~ (all_0_46_46 = e3) % 33.18/9.18 | (432) ~ (all_0_40_40 = e3) % 33.18/9.18 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 33.18/9.18 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 33.18/9.18 | (526) ~ (all_0_56_56 = e3) % 33.18/9.18 | % 33.18/9.18 +-Applying beta-rule and splitting (2652), into two cases. % 33.18/9.18 |-Branch one: % 33.18/9.18 | (589) all_0_57_57 = e1 % 33.18/9.18 | % 33.18/9.18 | Equations (589) can reduce 222 to: % 33.18/9.18 | (3274) ~ (all_0_59_59 = e1) % 33.18/9.18 | % 33.18/9.18 | Simplifying 3274 yields: % 33.18/9.18 | (603) ~ (all_0_59_59 = e1) % 33.18/9.18 | % 33.18/9.18 | Equations (589) can reduce 2590 to: % 33.18/9.18 | (465) ~ (e3 = e1) % 33.18/9.18 | % 33.18/9.18 | Simplifying 465 yields: % 33.18/9.18 | (136) ~ (e3 = e1) % 33.18/9.18 | % 33.18/9.18 | Equations (589) can reduce 377 to: % 33.18/9.18 | (565) ~ (e2 = e1) % 33.18/9.18 | % 33.18/9.18 | Simplifying 565 yields: % 33.18/9.18 | (144) ~ (e2 = e1) % 33.18/9.18 | % 33.18/9.18 +-Applying beta-rule and splitting (100), into two cases. % 33.18/9.18 |-Branch one: % 33.18/9.18 | (618) all_0_43_43 = e1 % 33.18/9.18 | % 33.18/9.18 | Combining equations (447,618) yields a new equation: % 33.18/9.18 | (680) e3 = e1 % 33.18/9.18 | % 33.18/9.18 | Simplifying 680 yields: % 33.18/9.18 | (601) e3 = e1 % 33.18/9.18 | % 33.18/9.18 | Equations (601) can reduce 136 to: % 33.18/9.18 | (303) $false % 33.18/9.18 | % 33.18/9.18 |-The branch is then unsatisfiable % 33.18/9.18 |-Branch two: % 33.18/9.18 | (622) ~ (all_0_43_43 = e1) % 33.18/9.18 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 33.18/9.18 | % 33.18/9.18 +-Applying beta-rule and splitting (27), into two cases. % 33.18/9.18 |-Branch one: % 33.18/9.18 | (705) all_0_44_44 = e1 % 33.18/9.18 | % 33.18/9.18 | Combining equations (572,705) yields a new equation: % 33.18/9.18 | (584) e2 = e1 % 33.18/9.18 | % 33.18/9.18 | Simplifying 584 yields: % 33.18/9.18 | (585) e2 = e1 % 33.18/9.18 | % 33.18/9.18 | Equations (585) can reduce 144 to: % 33.18/9.18 | (303) $false % 33.18/9.18 | % 33.18/9.18 |-The branch is then unsatisfiable % 33.18/9.18 |-Branch two: % 33.18/9.18 | (512) ~ (all_0_44_44 = e1) % 33.18/9.18 | (1589) all_0_51_51 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1 % 33.18/9.18 | % 33.18/9.18 +-Applying beta-rule and splitting (1795), into two cases. % 33.18/9.18 |-Branch one: % 33.18/9.18 | (1070) all_0_52_52 = e1 % 33.18/9.18 | % 33.18/9.18 | Equations (1070) can reduce 77 to: % 33.18/9.18 | (6422) ~ (all_0_53_53 = e1) % 33.18/9.18 | % 33.18/9.18 | Simplifying 6422 yields: % 33.18/9.18 | (509) ~ (all_0_53_53 = e1) % 33.18/9.18 | % 33.18/9.18 | Equations (1070) can reduce 445 to: % 33.18/9.18 | (605) ~ (e4 = e1) % 33.18/9.18 | % 33.18/9.18 | Simplifying 605 yields: % 33.18/9.18 | (247) ~ (e4 = e1) % 33.18/9.18 | % 33.18/9.18 +-Applying beta-rule and splitting (1589), into two cases. % 33.18/9.18 |-Branch one: % 33.18/9.18 | (1590) all_0_51_51 = e1 % 33.18/9.18 | % 33.18/9.18 | Equations (1590) can reduce 171 to: % 33.18/9.18 | (678) ~ (all_0_50_50 = e1) % 33.18/9.18 | % 33.18/9.18 +-Applying beta-rule and splitting (367), into two cases. % 33.18/9.18 |-Branch one: % 33.18/9.18 | (714) all_0_50_50 = e4 % 33.18/9.18 | % 33.18/9.18 | Equations (714) can reduce 678 to: % 33.18/9.18 | (247) ~ (e4 = e1) % 33.18/9.18 | % 33.18/9.18 +-Applying beta-rule and splitting (623), into two cases. % 33.18/9.18 |-Branch one: % 33.18/9.18 | (627) all_0_50_50 = e1 % 33.18/9.18 | % 33.18/9.18 | Combining equations (714,627) yields a new equation: % 33.18/9.18 | (540) e4 = e1 % 33.18/9.18 | % 33.18/9.18 | Simplifying 540 yields: % 33.18/9.18 | (541) e4 = e1 % 33.18/9.18 | % 33.18/9.18 | Equations (541) can reduce 247 to: % 33.18/9.18 | (303) $false % 33.18/9.18 | % 33.18/9.18 |-The branch is then unsatisfiable % 33.18/9.18 |-Branch two: % 33.18/9.18 | (678) ~ (all_0_50_50 = e1) % 33.18/9.18 | (600) all_0_59_59 = e1 % 33.18/9.18 | % 33.18/9.18 | Equations (600) can reduce 603 to: % 33.18/9.18 | (303) $false % 33.18/9.18 | % 33.18/9.18 |-The branch is then unsatisfiable % 33.18/9.18 |-Branch two: % 33.18/9.18 | (611) ~ (all_0_50_50 = e4) % 33.18/9.18 | (627) all_0_50_50 = e1 % 33.18/9.18 | % 33.18/9.18 | Equations (627) can reduce 678 to: % 33.18/9.18 | (303) $false % 33.18/9.18 | % 33.18/9.18 |-The branch is then unsatisfiable % 33.18/9.18 |-Branch two: % 33.18/9.18 | (500) ~ (all_0_51_51 = e1) % 33.18/9.18 | (1594) all_0_55_55 = e1 | all_0_60_60 = e1 % 33.18/9.18 | % 33.18/9.18 +-Applying beta-rule and splitting (363), into two cases. % 33.18/9.18 |-Branch one: % 33.18/9.18 | (462) all_0_53_53 = e1 % 33.18/9.18 | % 33.18/9.18 | Equations (462) can reduce 509 to: % 33.18/9.18 | (303) $false % 33.18/9.18 | % 33.18/9.18 |-The branch is then unsatisfiable % 33.18/9.18 |-Branch two: % 33.18/9.18 | (509) ~ (all_0_53_53 = e1) % 33.18/9.18 | (994) all_0_53_53 = e3 % 33.18/9.18 | % 33.18/9.18 | Equations (994) can reduce 509 to: % 33.18/9.18 | (136) ~ (e3 = e1) % 33.18/9.18 | % 33.18/9.18 +-Applying beta-rule and splitting (1594), into two cases. % 33.18/9.18 |-Branch one: % 33.18/9.18 | (530) all_0_55_55 = e1 % 33.18/9.18 | % 33.18/9.18 | Combining equations (530,473) yields a new equation: % 33.18/9.18 | (541) e4 = e1 % 33.18/9.18 | % 33.18/9.18 | Equations (541) can reduce 247 to: % 33.18/9.18 | (303) $false % 33.18/9.18 | % 33.18/9.18 |-The branch is then unsatisfiable % 33.18/9.18 |-Branch two: % 33.18/9.18 | (464) ~ (all_0_55_55 = e1) % 33.18/9.18 | (604) all_0_60_60 = e1 % 33.18/9.18 | % 33.18/9.18 | Combining equations (604,1937) yields a new equation: % 33.18/9.18 | (601) e3 = e1 % 33.18/9.18 | % 33.18/9.18 | Equations (601) can reduce 136 to: % 33.18/9.18 | (303) $false % 33.18/9.18 | % 33.18/9.18 |-The branch is then unsatisfiable % 33.18/9.18 |-Branch two: % 33.18/9.18 | (502) ~ (all_0_52_52 = e1) % 33.18/9.18 | (425) all_0_52_52 = e3 % 33.18/9.18 | % 33.18/9.18 | Equations (425) can reduce 521 to: % 33.18/9.18 | (303) $false % 33.18/9.18 | % 33.18/9.18 |-The branch is then unsatisfiable % 33.18/9.18 |-Branch two: % 33.18/9.18 | (592) ~ (all_0_57_57 = e1) % 33.18/9.18 | (3062) all_0_57_57 = e3 | all_0_57_57 = e0 % 33.18/9.18 | % 33.18/9.18 +-Applying beta-rule and splitting (3062), into two cases. % 33.18/9.18 |-Branch one: % 33.18/9.18 | (407) all_0_57_57 = e0 % 33.18/9.18 | % 33.18/9.18 | Equations (407) can reduce 2273 to: % 33.18/9.18 | (303) $false % 33.18/9.18 | % 33.18/9.18 |-The branch is then unsatisfiable % 33.18/9.18 |-Branch two: % 33.18/9.18 | (2273) ~ (all_0_57_57 = e0) % 33.18/9.18 | (1001) all_0_57_57 = e3 % 33.18/9.18 | % 33.18/9.18 | Equations (1001) can reduce 2590 to: % 33.18/9.18 | (303) $false % 33.18/9.18 | % 33.18/9.18 |-The branch is then unsatisfiable % 33.18/9.18 |-Branch two: % 33.18/9.18 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 33.18/9.18 | % 33.18/9.18 | Applying alpha-rule on (528) yields: % 33.18/9.18 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 33.18/9.18 | (530) all_0_55_55 = e1 % 33.18/9.18 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 33.18/9.18 | (387) ~ (all_0_49_49 = e0) % 33.18/9.18 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 33.18/9.18 | (534) ~ (all_0_45_45 = e0) % 33.18/9.18 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 33.18/9.18 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 33.18/9.18 | (537) ~ (unit = e0) % 33.18/9.18 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 33.18/9.18 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 33.18/9.18 | % 33.18/9.18 | Combining equations (473,530) yields a new equation: % 33.18/9.18 | (540) e4 = e1 % 33.18/9.18 | % 33.18/9.18 | Simplifying 540 yields: % 33.18/9.18 | (541) e4 = e1 % 33.18/9.18 | % 33.18/9.18 | Equations (541) can reduce 247 to: % 33.18/9.18 | (303) $false % 33.18/9.18 | % 33.18/9.18 |-The branch is then unsatisfiable % 33.18/9.18 |-Branch two: % 33.18/9.18 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 33.18/9.18 | % 33.18/9.18 | Applying alpha-rule on (543) yields: % 33.18/9.18 | (544) ~ (all_0_48_48 = e2) % 33.18/9.18 | (369) ~ (all_0_41_41 = e2) % 33.18/9.18 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 33.18/9.18 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 33.18/9.18 | (253) ~ (all_0_43_43 = e2) % 33.18/9.18 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 33.18/9.18 | (276) ~ (all_0_55_55 = e2) % 33.18/9.18 | (260) ~ (all_0_59_59 = e2) % 33.18/9.18 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 33.18/9.18 | (274) ~ (all_0_53_53 = e2) % 33.18/9.18 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 33.18/9.18 | (373) ~ (all_0_51_51 = e2) % 33.18/9.18 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 33.18/9.18 | (256) ~ (all_0_47_47 = e2) % 33.18/9.18 | (377) ~ (all_0_57_57 = e2) % 33.18/9.18 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 33.18/9.18 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 33.18/9.18 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 33.18/9.18 | (258) ~ (all_0_50_50 = e2) % 33.18/9.18 | (254) ~ (all_0_45_45 = e2) % 33.18/9.18 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 33.18/9.18 | % 33.18/9.18 | Equations (493) can reduce 254 to: % 33.18/9.18 | (223) ~ (e3 = e2) % 33.18/9.18 | % 33.18/9.18 | Equations (380) can reduce 544 to: % 33.18/9.18 | (335) ~ (e2 = e0) % 33.18/9.18 | % 33.18/9.18 | Simplifying 335 yields: % 33.18/9.18 | (51) ~ (e2 = e0) % 33.18/9.18 | % 33.18/9.18 +-Applying beta-rule and splitting (6448), into two cases. % 33.18/9.18 |-Branch one: % 33.18/9.18 | (1501) all_0_51_51 = e4 % 33.18/9.18 | % 33.18/9.18 | Equations (1501) can reduce 1504 to: % 33.18/9.18 | (303) $false % 33.18/9.18 | % 33.18/9.18 |-The branch is then unsatisfiable % 33.18/9.18 |-Branch two: % 33.18/9.18 | (1504) ~ (all_0_51_51 = e4) % 33.18/9.18 | (6452) all_0_51_51 = e1 | all_0_51_51 = e0 % 33.18/9.18 | % 33.18/9.18 +-Applying beta-rule and splitting (722), into two cases. % 33.18/9.18 |-Branch one: % 33.18/9.18 | (714) all_0_50_50 = e4 % 33.18/9.18 | % 33.18/9.18 | Equations (714) can reduce 258 to: % 33.18/9.18 | (231) ~ (e4 = e2) % 33.18/9.18 | % 33.18/9.18 | Equations (714) can reduce 207 to: % 33.18/9.18 | (4) ~ (e4 = e0) % 33.18/9.18 | % 33.18/9.18 +-Applying beta-rule and splitting (233), into two cases. % 33.18/9.18 |-Branch one: % 33.18/9.18 | (917) all_0_40_40 = e2 % 33.18/9.18 | % 33.18/9.18 | Equations (917) can reduce 939 to: % 33.18/9.18 | (303) $false % 33.18/9.18 | % 33.18/9.18 |-The branch is then unsatisfiable % 33.18/9.18 |-Branch two: % 33.18/9.18 | (939) ~ (all_0_40_40 = e2) % 33.18/9.18 | (2671) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 33.18/9.18 | % 33.18/9.18 +-Applying beta-rule and splitting (61), into two cases. % 33.18/9.18 |-Branch one: % 33.18/9.18 | (580) all_0_56_56 = e2 % 33.18/9.18 | % 33.18/9.18 +-Applying beta-rule and splitting (243), into two cases. % 33.18/9.18 |-Branch one: % 33.18/9.18 | (877) all_0_56_56 = e4 % 33.18/9.18 | % 33.18/9.18 | Combining equations (580,877) yields a new equation: % 33.18/9.18 | (470) e4 = e2 % 33.18/9.18 | % 33.18/9.18 | Equations (470) can reduce 231 to: % 33.18/9.18 | (303) $false % 33.18/9.18 | % 33.18/9.18 |-The branch is then unsatisfiable % 33.18/9.18 |-Branch two: % 33.18/9.18 | (345) ~ (all_0_56_56 = e4) % 33.18/9.18 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 33.18/9.18 | % 33.18/9.19 +-Applying beta-rule and splitting (4489), into two cases. % 33.18/9.19 |-Branch one: % 33.18/9.19 | (344) all_0_58_58 = e4 % 33.18/9.19 | % 33.18/9.19 | Combining equations (989,344) yields a new equation: % 33.18/9.19 | (654) e4 = e0 % 33.18/9.19 | % 33.18/9.19 | Equations (654) can reduce 4 to: % 33.18/9.19 | (303) $false % 33.18/9.19 | % 33.18/9.19 |-The branch is then unsatisfiable % 33.18/9.19 |-Branch two: % 33.18/9.19 | (3161) ~ (all_0_58_58 = e4) % 33.18/9.19 | (4996) all_0_59_59 = e4 | all_0_60_60 = e4 % 33.18/9.19 | % 33.18/9.19 | Equations (989) can reduce 3161 to: % 33.18/9.19 | (297) ~ (e4 = e0) % 33.18/9.19 | % 33.18/9.19 | Simplifying 297 yields: % 33.18/9.19 | (4) ~ (e4 = e0) % 33.18/9.19 | % 33.18/9.19 +-Applying beta-rule and splitting (552), into two cases. % 33.18/9.19 |-Branch one: % 33.18/9.19 | (594) ~ (all_0_56_56 = e2) % 33.18/9.19 | % 33.18/9.19 | Equations (580) can reduce 594 to: % 33.18/9.19 | (303) $false % 33.18/9.19 | % 33.18/9.19 |-The branch is then unsatisfiable % 33.18/9.19 |-Branch two: % 33.18/9.19 | (580) all_0_56_56 = e2 % 33.18/9.19 | (597) all_0_58_58 = e4 & ~ (unit = e2) % 33.18/9.19 | % 33.18/9.19 | Applying alpha-rule on (597) yields: % 33.18/9.19 | (344) all_0_58_58 = e4 % 33.18/9.19 | (599) ~ (unit = e2) % 33.18/9.19 | % 33.18/9.19 | Combining equations (344,989) yields a new equation: % 33.18/9.19 | (1573) e4 = e0 % 33.18/9.19 | % 33.18/9.19 | Simplifying 1573 yields: % 33.18/9.19 | (654) e4 = e0 % 33.18/9.19 | % 33.18/9.19 | Equations (654) can reduce 4 to: % 33.18/9.19 | (303) $false % 33.18/9.19 | % 33.18/9.19 |-The branch is then unsatisfiable % 33.18/9.19 |-Branch two: % 33.18/9.19 | (594) ~ (all_0_56_56 = e2) % 33.18/9.19 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 33.18/9.19 | % 33.18/9.19 +-Applying beta-rule and splitting (96), into two cases. % 33.18/9.19 |-Branch one: % 33.18/9.19 | (917) all_0_40_40 = e2 % 33.18/9.19 | % 33.18/9.19 | Equations (917) can reduce 939 to: % 33.18/9.19 | (303) $false % 33.18/9.19 | % 33.18/9.19 |-The branch is then unsatisfiable % 33.18/9.19 |-Branch two: % 33.18/9.19 | (939) ~ (all_0_40_40 = e2) % 33.18/9.19 | (944) all_0_45_45 = e2 | all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 33.18/9.19 | % 33.18/9.19 +-Applying beta-rule and splitting (141), into two cases. % 33.18/9.19 |-Branch one: % 33.18/9.19 | (580) all_0_56_56 = e2 % 33.18/9.19 | % 33.18/9.19 | Equations (580) can reduce 594 to: % 33.18/9.19 | (303) $false % 33.18/9.19 | % 33.18/9.19 |-The branch is then unsatisfiable % 33.18/9.19 |-Branch two: % 33.18/9.19 | (594) ~ (all_0_56_56 = e2) % 33.18/9.19 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 33.18/9.19 | % 33.18/9.19 +-Applying beta-rule and splitting (944), into two cases. % 33.18/9.19 |-Branch one: % 33.18/9.19 | (951) all_0_45_45 = e2 % 33.18/9.19 | % 33.18/9.19 | Combining equations (493,951) yields a new equation: % 33.18/9.19 | (452) e3 = e2 % 33.18/9.19 | % 33.18/9.19 | Simplifying 452 yields: % 33.18/9.19 | (453) e3 = e2 % 33.18/9.19 | % 33.18/9.19 | Equations (453) can reduce 223 to: % 33.18/9.19 | (303) $false % 33.18/9.19 | % 33.18/9.19 |-The branch is then unsatisfiable % 33.18/9.19 |-Branch two: % 33.18/9.19 | (254) ~ (all_0_45_45 = e2) % 33.18/9.19 | (956) all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 33.18/9.19 | % 33.18/9.19 +-Applying beta-rule and splitting (956), into two cases. % 33.18/9.19 |-Branch one: % 33.18/9.19 | (727) all_0_48_48 = e2 % 33.18/9.19 | % 33.18/9.19 | Combining equations (380,727) yields a new equation: % 33.18/9.19 | (385) e2 = e0 % 33.18/9.19 | % 33.18/9.19 | Equations (385) can reduce 51 to: % 33.18/9.19 | (303) $false % 33.18/9.19 | % 33.18/9.19 |-The branch is then unsatisfiable % 33.18/9.19 |-Branch two: % 33.18/9.19 | (544) ~ (all_0_48_48 = e2) % 33.18/9.19 | (975) all_0_52_52 = e2 | all_0_56_56 = e2 % 33.18/9.19 | % 33.18/9.19 +-Applying beta-rule and splitting (975), into two cases. % 33.18/9.19 |-Branch one: % 33.18/9.19 | (980) all_0_52_52 = e2 % 33.18/9.19 | % 33.18/9.19 | Equations (980) can reduce 273 to: % 33.18/9.19 | (303) $false % 33.18/9.19 | % 33.18/9.19 |-The branch is then unsatisfiable % 33.18/9.19 |-Branch two: % 33.18/9.19 | (273) ~ (all_0_52_52 = e2) % 33.18/9.19 | (580) all_0_56_56 = e2 % 33.18/9.19 | % 33.18/9.19 | Equations (580) can reduce 594 to: % 33.18/9.19 | (303) $false % 33.18/9.19 | % 33.18/9.19 |-The branch is then unsatisfiable % 33.18/9.19 |-Branch two: % 33.18/9.19 | (611) ~ (all_0_50_50 = e4) % 33.18/9.19 | (1501) all_0_51_51 = e4 % 33.18/9.19 | % 33.18/9.19 | Equations (1501) can reduce 1504 to: % 33.18/9.19 | (303) $false % 33.18/9.19 | % 33.18/9.19 |-The branch is then unsatisfiable % 33.18/9.19 |-Branch two: % 33.18/9.19 | (915) ~ (all_0_44_44 = e2) % 33.18/9.19 | (916) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 33.18/9.19 | % 33.18/9.19 +-Applying beta-rule and splitting (196), into two cases. % 33.18/9.19 |-Branch one: % 33.18/9.19 | (723) all_0_40_40 = e4 % 33.18/9.19 | % 33.18/9.19 | Equations (723) can reduce 844 to: % 33.18/9.19 | (303) $false % 33.18/9.19 | % 33.18/9.19 |-The branch is then unsatisfiable % 33.18/9.19 |-Branch two: % 33.18/9.19 | (844) ~ (all_0_40_40 = e4) % 33.18/9.19 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 33.18/9.19 | % 33.18/9.19 +-Applying beta-rule and splitting (997), into two cases. % 33.18/9.19 |-Branch one: % 33.18/9.19 | (994) all_0_53_53 = e3 % 33.18/9.19 | % 33.18/9.19 | Equations (994) can reduce 77 to: % 33.18/9.19 | (521) ~ (all_0_52_52 = e3) % 33.18/9.19 | % 33.18/9.19 +-Applying beta-rule and splitting (166), into two cases. % 33.18/9.19 |-Branch one: % 33.18/9.19 | (927) all_0_51_51 = e2 % 33.18/9.19 | % 33.18/9.19 | Equations (927) can reduce 373 to: % 33.18/9.19 | (303) $false % 33.18/9.19 | % 33.18/9.19 |-The branch is then unsatisfiable % 33.18/9.19 |-Branch two: % 33.18/9.19 | (373) ~ (all_0_51_51 = e2) % 33.18/9.19 | (6448) all_0_51_51 = e4 | all_0_51_51 = e1 | all_0_51_51 = e0 % 33.18/9.19 | % 33.18/9.19 +-Applying beta-rule and splitting (1795), into two cases. % 33.18/9.19 |-Branch one: % 33.18/9.19 | (1070) all_0_52_52 = e1 % 33.18/9.19 | % 33.18/9.19 | Equations (1070) can reduce 188 to: % 33.18/9.19 | (683) ~ (all_0_40_40 = e1) % 33.18/9.19 | % 33.18/9.19 | Equations (1070) can reduce 445 to: % 33.18/9.19 | (605) ~ (e4 = e1) % 33.18/9.19 | % 33.18/9.19 | Simplifying 605 yields: % 33.18/9.19 | (247) ~ (e4 = e1) % 33.18/9.19 | % 33.18/9.19 +-Applying beta-rule and splitting (916), into two cases. % 33.18/9.19 |-Branch one: % 33.18/9.19 | (302) all_0_47_47 = e2 % 33.18/9.19 | % 33.18/9.19 | Combining equations (302,306) yields a new equation: % 33.18/9.19 | (403) e2 = e0 % 33.18/9.19 | % 33.18/9.19 | Simplifying 403 yields: % 33.18/9.19 | (385) e2 = e0 % 33.18/9.19 | % 33.18/9.19 | Equations (385) can reduce 51 to: % 33.18/9.19 | (303) $false % 33.18/9.19 | % 33.18/9.19 |-The branch is then unsatisfiable % 33.18/9.19 |-Branch two: % 33.18/9.19 | (256) ~ (all_0_47_47 = e2) % 33.18/9.19 | (926) all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 33.18/9.19 | % 33.18/9.19 +-Applying beta-rule and splitting (56), into two cases. % 33.18/9.19 |-Branch one: % 33.18/9.19 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 33.18/9.19 | % 33.18/9.19 +-Applying beta-rule and splitting (480), into two cases. % 33.18/9.19 |-Branch one: % 33.18/9.19 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 33.18/9.19 | % 33.18/9.19 +-Applying beta-rule and splitting (481), into two cases. % 33.18/9.19 |-Branch one: % 33.18/9.19 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 33.18/9.19 | % 33.18/9.19 +-Applying beta-rule and splitting (482), into two cases. % 33.18/9.19 |-Branch one: % 33.18/9.19 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 33.18/9.19 | % 33.18/9.19 | Applying alpha-rule on (483) yields: % 33.18/9.19 | (484) ~ (unit = e4) % 33.18/9.19 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 33.18/9.19 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 33.18/9.19 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 33.18/9.19 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 33.18/9.19 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 33.18/9.19 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 33.18/9.19 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 33.18/9.19 | (492) ~ (all_0_55_55 = e4) % 33.18/9.19 | (493) all_0_45_45 = e3 % 33.18/9.19 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 33.18/9.19 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 33.18/9.19 | % 33.18/9.19 | Equations (473) can reduce 492 to: % 33.18/9.19 | (303) $false % 33.18/9.19 | % 33.18/9.19 |-The branch is then unsatisfiable % 33.18/9.19 |-Branch two: % 33.18/9.19 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 33.18/9.19 | % 33.18/9.19 | Applying alpha-rule on (499) yields: % 33.18/9.19 | (500) ~ (all_0_51_51 = e1) % 33.18/9.19 | (501) ~ (all_0_60_60 = e1) % 33.18/9.19 | (502) ~ (all_0_52_52 = e1) % 33.18/9.19 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 33.18/9.19 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 33.18/9.19 | (252) all_0_46_46 = e2 % 33.18/9.19 | (506) ~ (all_0_49_49 = e1) % 33.18/9.19 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 33.18/9.19 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 33.18/9.19 | (509) ~ (all_0_53_53 = e1) % 33.18/9.19 | (510) ~ (unit = e1) % 33.18/9.19 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 33.18/9.19 | (512) ~ (all_0_44_44 = e1) % 33.18/9.19 | % 33.18/9.19 | Equations (1070) can reduce 502 to: % 33.18/9.19 | (303) $false % 33.18/9.19 | % 33.18/9.19 |-The branch is then unsatisfiable % 33.18/9.19 |-Branch two: % 33.18/9.19 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 33.18/9.19 | % 33.18/9.19 | Applying alpha-rule on (514) yields: % 33.18/9.19 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 33.18/9.19 | (516) ~ (all_0_47_47 = e3) % 33.18/9.19 | (314) ~ (all_0_55_55 = e3) % 33.18/9.19 | (368) all_0_49_49 = e2 % 33.18/9.19 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 33.18/9.19 | (520) ~ (unit = e3) % 33.18/9.19 | (521) ~ (all_0_52_52 = e3) % 33.18/9.19 | (455) ~ (all_0_46_46 = e3) % 33.18/9.19 | (432) ~ (all_0_40_40 = e3) % 33.18/9.19 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 33.18/9.19 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 33.18/9.19 | (526) ~ (all_0_56_56 = e3) % 33.18/9.19 | % 33.18/9.19 +-Applying beta-rule and splitting (515), into two cases. % 33.18/9.19 |-Branch one: % 33.18/9.19 | (316) ~ (all_0_60_60 = e3) % 33.18/9.19 | % 33.18/9.19 | Equations (1937) can reduce 316 to: % 33.18/9.19 | (303) $false % 33.18/9.19 | % 33.18/9.19 |-The branch is then unsatisfiable % 33.18/9.19 |-Branch two: % 33.18/9.19 | (1937) all_0_60_60 = e3 % 33.18/9.19 | (407) all_0_57_57 = e0 % 33.18/9.19 | % 33.18/9.19 | Equations (407) can reduce 2273 to: % 33.18/9.19 | (303) $false % 33.18/9.19 | % 33.18/9.19 |-The branch is then unsatisfiable % 33.18/9.19 |-Branch two: % 33.18/9.19 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 33.18/9.19 | % 33.18/9.19 | Applying alpha-rule on (528) yields: % 33.18/9.19 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 33.18/9.19 | (530) all_0_55_55 = e1 % 33.18/9.19 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 33.18/9.19 | (387) ~ (all_0_49_49 = e0) % 33.18/9.19 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 33.18/9.19 | (534) ~ (all_0_45_45 = e0) % 33.18/9.19 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 33.18/9.19 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 33.18/9.19 | (537) ~ (unit = e0) % 33.18/9.19 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 33.18/9.19 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 33.18/9.19 | % 33.18/9.19 | Combining equations (473,530) yields a new equation: % 33.18/9.19 | (540) e4 = e1 % 33.18/9.19 | % 33.18/9.19 | Simplifying 540 yields: % 33.18/9.19 | (541) e4 = e1 % 33.18/9.19 | % 33.18/9.19 | Equations (541) can reduce 247 to: % 33.18/9.19 | (303) $false % 33.18/9.19 | % 33.18/9.19 |-The branch is then unsatisfiable % 33.18/9.19 |-Branch two: % 33.18/9.19 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 33.18/9.19 | % 33.18/9.19 | Applying alpha-rule on (543) yields: % 33.18/9.19 | (544) ~ (all_0_48_48 = e2) % 33.18/9.19 | (369) ~ (all_0_41_41 = e2) % 33.18/9.19 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 33.18/9.19 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 33.18/9.19 | (253) ~ (all_0_43_43 = e2) % 33.18/9.19 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 33.18/9.19 | (276) ~ (all_0_55_55 = e2) % 33.18/9.19 | (260) ~ (all_0_59_59 = e2) % 33.18/9.19 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 33.18/9.19 | (274) ~ (all_0_53_53 = e2) % 33.18/9.19 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 33.18/9.19 | (373) ~ (all_0_51_51 = e2) % 33.18/9.19 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 33.18/9.19 | (256) ~ (all_0_47_47 = e2) % 33.18/9.19 | (377) ~ (all_0_57_57 = e2) % 33.18/9.19 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 33.18/9.19 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 33.18/9.19 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 33.18/9.19 | (258) ~ (all_0_50_50 = e2) % 33.18/9.19 | (254) ~ (all_0_45_45 = e2) % 33.18/9.19 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 33.18/9.19 | % 33.18/9.19 +-Applying beta-rule and splitting (233), into two cases. % 33.18/9.19 |-Branch one: % 33.18/9.19 | (917) all_0_40_40 = e2 % 33.18/9.19 | % 33.18/9.19 | Equations (917) can reduce 432 to: % 33.18/9.19 | (577) ~ (e3 = e2) % 33.18/9.19 | % 33.18/9.19 | Simplifying 577 yields: % 33.18/9.19 | (223) ~ (e3 = e2) % 33.18/9.19 | % 33.18/9.19 +-Applying beta-rule and splitting (6448), into two cases. % 33.18/9.19 |-Branch one: % 33.18/9.19 | (1501) all_0_51_51 = e4 % 33.18/9.19 | % 33.18/9.19 | Equations (1501) can reduce 1504 to: % 33.18/9.19 | (303) $false % 33.18/9.19 | % 33.18/9.19 |-The branch is then unsatisfiable % 33.18/9.19 |-Branch two: % 33.18/9.19 | (1504) ~ (all_0_51_51 = e4) % 33.18/9.19 | (6452) all_0_51_51 = e1 | all_0_51_51 = e0 % 33.18/9.19 | % 33.18/9.19 +-Applying beta-rule and splitting (926), into two cases. % 33.18/9.19 |-Branch one: % 33.18/9.19 | (927) all_0_51_51 = e2 % 33.18/9.19 | % 33.18/9.19 | Equations (927) can reduce 373 to: % 33.18/9.19 | (303) $false % 33.18/9.19 | % 33.18/9.19 |-The branch is then unsatisfiable % 33.18/9.19 |-Branch two: % 33.18/9.19 | (373) ~ (all_0_51_51 = e2) % 33.18/9.19 | (931) all_0_55_55 = e2 | all_0_60_60 = e2 % 33.18/9.19 | % 33.18/9.19 +-Applying beta-rule and splitting (722), into two cases. % 33.18/9.19 |-Branch one: % 33.18/9.19 | (714) all_0_50_50 = e4 % 33.18/9.19 | % 33.18/9.19 | Equations (714) can reduce 258 to: % 33.18/9.19 | (231) ~ (e4 = e2) % 33.18/9.19 | % 33.18/9.19 +-Applying beta-rule and splitting (931), into two cases. % 33.18/9.19 |-Branch one: % 33.18/9.19 | (932) all_0_55_55 = e2 % 33.18/9.19 | % 33.18/9.19 | Combining equations (473,932) yields a new equation: % 33.18/9.19 | (878) e4 = e2 % 33.18/9.19 | % 33.18/9.19 | Simplifying 878 yields: % 33.18/9.19 | (470) e4 = e2 % 33.18/9.20 | % 33.18/9.20 | Equations (470) can reduce 231 to: % 33.18/9.20 | (303) $false % 33.18/9.20 | % 33.18/9.20 |-The branch is then unsatisfiable % 33.18/9.20 |-Branch two: % 33.18/9.20 | (276) ~ (all_0_55_55 = e2) % 33.18/9.20 | (913) all_0_60_60 = e2 % 33.18/9.20 | % 33.18/9.20 | Combining equations (913,1937) yields a new equation: % 33.18/9.20 | (453) e3 = e2 % 33.18/9.20 | % 33.18/9.20 | Equations (453) can reduce 223 to: % 33.18/9.20 | (303) $false % 33.18/9.20 | % 33.18/9.20 |-The branch is then unsatisfiable % 33.18/9.20 |-Branch two: % 33.18/9.20 | (611) ~ (all_0_50_50 = e4) % 33.18/9.20 | (1501) all_0_51_51 = e4 % 33.18/9.20 | % 33.18/9.20 | Equations (1501) can reduce 1504 to: % 33.18/9.20 | (303) $false % 33.18/9.20 | % 33.18/9.20 |-The branch is then unsatisfiable % 33.18/9.20 |-Branch two: % 33.18/9.20 | (939) ~ (all_0_40_40 = e2) % 33.18/9.20 | (2671) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 33.18/9.20 | % 33.18/9.20 +-Applying beta-rule and splitting (2671), into two cases. % 33.18/9.20 |-Branch one: % 33.18/9.20 | (723) all_0_40_40 = e4 % 33.18/9.20 | % 33.18/9.20 | Equations (723) can reduce 844 to: % 33.18/9.20 | (303) $false % 33.18/9.20 | % 33.18/9.20 |-The branch is then unsatisfiable % 33.18/9.20 |-Branch two: % 33.18/9.20 | (844) ~ (all_0_40_40 = e4) % 33.18/9.20 | (2800) all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 33.18/9.20 | % 33.18/9.20 +-Applying beta-rule and splitting (2800), into two cases. % 33.18/9.20 |-Branch one: % 33.18/9.20 | (624) all_0_40_40 = e1 % 33.18/9.20 | % 33.18/9.20 | Equations (624) can reduce 683 to: % 33.18/9.20 | (303) $false % 33.18/9.20 | % 33.18/9.20 |-The branch is then unsatisfiable % 33.18/9.20 |-Branch two: % 33.18/9.20 | (683) ~ (all_0_40_40 = e1) % 33.18/9.20 | (2833) all_0_40_40 = e3 | all_0_40_40 = e0 % 33.18/9.20 | % 33.18/9.20 +-Applying beta-rule and splitting (2833), into two cases. % 33.18/9.20 |-Branch one: % 33.18/9.20 | (2834) all_0_40_40 = e0 % 33.18/9.20 | % 33.18/9.20 | Equations (2834) can reduce 288 to: % 33.18/9.20 | (303) $false % 33.18/9.20 | % 33.18/9.20 |-The branch is then unsatisfiable % 33.18/9.20 |-Branch two: % 33.18/9.20 | (288) ~ (all_0_40_40 = e0) % 33.18/9.20 | (1102) all_0_40_40 = e3 % 33.18/9.20 | % 33.18/9.20 | Equations (1102) can reduce 432 to: % 33.18/9.20 | (303) $false % 33.18/9.20 | % 33.18/9.20 |-The branch is then unsatisfiable % 33.18/9.20 |-Branch two: % 33.18/9.20 | (502) ~ (all_0_52_52 = e1) % 33.18/9.20 | (425) all_0_52_52 = e3 % 33.18/9.20 | % 33.18/9.20 | Equations (425) can reduce 521 to: % 33.18/9.20 | (303) $false % 33.18/9.20 | % 33.18/9.20 |-The branch is then unsatisfiable % 33.18/9.20 |-Branch two: % 33.18/9.20 | (428) ~ (all_0_53_53 = e3) % 33.18/9.20 | (1001) all_0_57_57 = e3 % 33.18/9.20 | % 33.18/9.20 | Equations (1001) can reduce 2590 to: % 33.18/9.20 | (303) $false % 33.18/9.20 | % 33.18/9.20 |-The branch is then unsatisfiable % 33.18/9.20 |-Branch two: % 33.18/9.20 | (434) ~ (all_0_43_43 = e3) % 33.18/9.20 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 33.18/9.20 | % 33.18/9.20 +-Applying beta-rule and splitting (191), into two cases. % 33.18/9.20 |-Branch one: % 33.18/9.20 | (965) all_0_43_43 = e2 % 33.18/9.20 | % 33.18/9.20 | Equations (965) can reduce 253 to: % 33.18/9.20 | (303) $false % 33.18/9.20 | % 33.18/9.20 |-The branch is then unsatisfiable % 33.18/9.20 |-Branch two: % 33.18/9.20 | (253) ~ (all_0_43_43 = e2) % 33.18/9.20 | (1634) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e1 % 33.18/9.20 | % 33.18/9.20 +-Applying beta-rule and splitting (200), into two cases. % 33.18/9.20 |-Branch one: % 33.18/9.20 | (1102) all_0_40_40 = e3 % 33.18/9.20 | % 33.18/9.20 | Equations (1102) can reduce 432 to: % 33.18/9.20 | (303) $false % 33.18/9.20 | % 33.18/9.20 |-The branch is then unsatisfiable % 33.18/9.20 |-Branch two: % 33.18/9.20 | (432) ~ (all_0_40_40 = e3) % 33.18/9.20 | (2138) all_0_41_41 = e3 | all_0_43_43 = e3 | all_0_44_44 = e3 % 33.18/9.20 | % 33.18/9.20 +-Applying beta-rule and splitting (1634), into two cases. % 33.18/9.20 |-Branch one: % 33.18/9.20 | (614) all_0_43_43 = e4 % 33.18/9.20 | % 33.18/9.20 | Equations (614) can reduce 712 to: % 33.18/9.20 | (303) $false % 33.18/9.20 | % 33.18/9.20 |-The branch is then unsatisfiable % 33.18/9.20 |-Branch two: % 33.18/9.20 | (712) ~ (all_0_43_43 = e4) % 33.18/9.20 | (2084) all_0_43_43 = e3 | all_0_43_43 = e1 % 33.18/9.20 | % 33.18/9.20 +-Applying beta-rule and splitting (2138), into two cases. % 33.18/9.20 |-Branch one: % 33.18/9.20 | (431) all_0_41_41 = e3 % 33.18/9.20 | % 33.18/9.20 | Combining equations (431,398) yields a new equation: % 33.18/9.20 | (496) e3 = e0 % 33.18/9.20 | % 33.18/9.20 | Simplifying 496 yields: % 33.18/9.20 | (497) e3 = e0 % 33.18/9.20 | % 33.18/9.20 | Equations (497) can reduce 70 to: % 33.18/9.20 | (303) $false % 33.18/9.20 | % 33.18/9.20 |-The branch is then unsatisfiable % 33.18/9.20 |-Branch two: % 33.18/9.20 | (996) ~ (all_0_41_41 = e3) % 33.18/9.20 | (5989) all_0_43_43 = e3 | all_0_44_44 = e3 % 33.18/9.20 | % 33.18/9.20 +-Applying beta-rule and splitting (2084), into two cases. % 33.18/9.20 |-Branch one: % 33.18/9.20 | (618) all_0_43_43 = e1 % 33.18/9.20 | % 33.18/9.20 | Equations (618) can reduce 8 to: % 33.18/9.20 | (683) ~ (all_0_40_40 = e1) % 33.18/9.20 | % 33.18/9.20 | Equations (618) can reduce 238 to: % 33.18/9.20 | (855) ~ (all_0_50_50 = e1) % 33.18/9.20 | % 33.18/9.20 | Simplifying 855 yields: % 33.18/9.20 | (678) ~ (all_0_50_50 = e1) % 33.18/9.20 | % 33.18/9.20 | Equations (618) can reduce 253 to: % 33.18/9.20 | (565) ~ (e2 = e1) % 33.18/9.20 | % 33.18/9.20 | Simplifying 565 yields: % 33.18/9.20 | (144) ~ (e2 = e1) % 33.18/9.20 | % 33.18/9.20 | Equations (618) can reduce 117 to: % 33.18/9.20 | (134) ~ (e1 = e0) % 33.18/9.20 | % 33.18/9.20 | From (618) and (99) follows: % 33.18/9.20 | (10791) op(e1, e1) = all_0_6_6 % 33.18/9.20 | % 33.18/9.20 | From (618) and (19) follows: % 33.18/9.20 | (636) op(e4, e1) = e1 % 33.18/9.20 | % 33.18/9.20 +-Applying beta-rule and splitting (367), into two cases. % 33.18/9.20 |-Branch one: % 33.18/9.20 | (714) all_0_50_50 = e4 % 33.18/9.20 | % 33.18/9.20 | Combining equations (714,268) yields a new equation: % 33.18/9.20 | (10794) all_0_12_12 = e4 % 33.18/9.20 | % 33.18/9.20 | Equations (714) can reduce 678 to: % 33.18/9.20 | (247) ~ (e4 = e1) % 33.18/9.20 | % 33.18/9.20 | Equations (714) can reduce 207 to: % 33.18/9.20 | (4) ~ (e4 = e0) % 33.18/9.20 | % 33.18/9.20 | From (714) and (110) follows: % 33.18/9.20 | (6028) op(e4, e1) = all_0_20_20 % 33.18/9.20 | % 33.18/9.20 +-Applying beta-rule and splitting (228), into two cases. % 33.18/9.20 |-Branch one: % 33.18/9.20 | (748) all_0_48_48 = e1 % 33.18/9.20 | % 33.18/9.20 | Combining equations (380,748) yields a new equation: % 33.18/9.20 | (590) e1 = e0 % 33.18/9.20 | % 33.18/9.20 | Equations (590) can reduce 134 to: % 33.18/9.20 | (303) $false % 33.18/9.20 | % 33.18/9.20 |-The branch is then unsatisfiable % 33.18/9.20 |-Branch two: % 33.18/9.20 | (802) ~ (all_0_48_48 = e1) % 33.18/9.20 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 33.18/9.20 | % 33.18/9.20 +-Applying beta-rule and splitting (233), into two cases. % 33.18/9.20 |-Branch one: % 33.18/9.20 | (917) all_0_40_40 = e2 % 33.18/9.20 | % 33.18/9.20 | Combining equations (917,3187) yields a new equation: % 33.18/9.20 | (10804) all_0_3_3 = e2 % 33.18/9.20 | % 33.18/9.20 | Equations (917) can reduce 844 to: % 33.18/9.20 | (261) ~ (e4 = e2) % 33.18/9.20 | % 33.18/9.20 | Simplifying 261 yields: % 33.18/9.20 | (231) ~ (e4 = e2) % 33.18/9.20 | % 33.18/9.20 | Equations (917) can reduce 683 to: % 33.18/9.20 | (144) ~ (e2 = e1) % 33.18/9.20 | % 33.18/9.20 | From (917) and (168) follows: % 33.18/9.20 | (1123) op(e4, e4) = e2 % 33.18/9.20 | % 33.18/9.20 +-Applying beta-rule and splitting (803), into two cases. % 33.18/9.20 |-Branch one: % 33.18/9.20 | (1580) all_0_49_49 = e1 % 33.18/9.20 | % 33.18/9.20 | Combining equations (368,1580) yields a new equation: % 33.18/9.20 | (584) e2 = e1 % 33.18/9.20 | % 33.18/9.20 | Simplifying 584 yields: % 33.18/9.20 | (585) e2 = e1 % 33.18/9.20 | % 33.18/9.20 | Equations (585) can reduce 144 to: % 33.18/9.20 | (303) $false % 33.18/9.20 | % 33.18/9.20 |-The branch is then unsatisfiable % 33.18/9.20 |-Branch two: % 33.18/9.20 | (506) ~ (all_0_49_49 = e1) % 33.18/9.20 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 33.18/9.20 | % 33.18/9.20 +-Applying beta-rule and splitting (1585), into two cases. % 33.18/9.20 |-Branch one: % 33.18/9.20 | (627) all_0_50_50 = e1 % 33.18/9.20 | % 33.18/9.20 | Combining equations (714,627) yields a new equation: % 33.18/9.20 | (540) e4 = e1 % 33.18/9.20 | % 33.18/9.20 | Simplifying 540 yields: % 33.18/9.20 | (541) e4 = e1 % 33.18/9.20 | % 33.18/9.20 | Equations (541) can reduce 247 to: % 33.18/9.20 | (303) $false % 33.18/9.20 | % 33.18/9.20 |-The branch is then unsatisfiable % 33.18/9.20 |-Branch two: % 33.18/9.20 | (678) ~ (all_0_50_50 = e1) % 33.18/9.20 | (1590) all_0_51_51 = e1 % 33.18/9.20 | % 33.18/9.20 | Equations (1590) can reduce 32 to: % 33.18/9.20 | (465) ~ (e3 = e1) % 33.18/9.20 | % 33.18/9.20 | Simplifying 465 yields: % 33.18/9.20 | (136) ~ (e3 = e1) % 33.18/9.20 | % 33.18/9.20 | From (1590) and (18) follows: % 33.18/9.20 | (6460) op(e1, e0) = all_0_22_22 % 33.18/9.20 | % 33.18/9.20 +-Applying beta-rule and splitting (5989), into two cases. % 33.18/9.20 |-Branch one: % 33.18/9.20 | (447) all_0_43_43 = e3 % 33.18/9.20 | % 33.18/9.20 | Combining equations (618,447) yields a new equation: % 33.18/9.20 | (601) e3 = e1 % 33.18/9.20 | % 33.18/9.20 | Equations (601) can reduce 136 to: % 33.18/9.20 | (303) $false % 33.18/9.20 | % 33.18/9.20 |-The branch is then unsatisfiable % 33.18/9.20 |-Branch two: % 33.18/9.20 | (434) ~ (all_0_43_43 = e3) % 33.18/9.20 | (2081) all_0_44_44 = e3 % 33.18/9.20 | % 33.18/9.20 | Equations (2081) can reduce 59 to: % 33.18/9.20 | (313) ~ (all_0_55_55 = e3) % 33.18/9.20 | % 33.18/9.20 | Simplifying 313 yields: % 33.18/9.20 | (314) ~ (all_0_55_55 = e3) % 33.18/9.20 | % 33.18/9.20 | From (2081) and (128) follows: % 33.18/9.20 | (10831) op(e3, e0) = all_0_8_8 % 33.18/9.20 | % 33.18/9.20 | From (2081) and (107) follows: % 33.18/9.20 | (8330) op(e4, e0) = e3 % 33.18/9.20 | % 33.18/9.20 +-Applying beta-rule and splitting (64), into two cases. % 33.18/9.20 |-Branch one: % 33.18/9.20 | (425) all_0_52_52 = e3 % 33.18/9.20 | % 33.18/9.20 | Equations (425) can reduce 521 to: % 33.18/9.20 | (303) $false % 33.18/9.20 | % 33.18/9.20 |-The branch is then unsatisfiable % 33.18/9.20 |-Branch two: % 33.18/9.20 | (521) ~ (all_0_52_52 = e3) % 33.18/9.20 | (1006) all_0_53_53 = e3 | all_0_55_55 = e3 % 33.18/9.20 | % 33.18/9.20 +-Applying beta-rule and splitting (1006), into two cases. % 33.18/9.20 |-Branch one: % 33.18/9.20 | (994) all_0_53_53 = e3 % 33.18/9.20 | % 33.18/9.20 | Equations (994) can reduce 131 to: % 33.18/9.20 | (313) ~ (all_0_55_55 = e3) % 33.18/9.20 | % 33.18/9.20 | Simplifying 313 yields: % 33.18/9.20 | (314) ~ (all_0_55_55 = e3) % 33.18/9.20 | % 33.18/9.20 | Equations (994) can reduce 251 to: % 33.18/9.20 | (2589) ~ (all_0_57_57 = e3) % 33.18/9.20 | % 33.18/9.20 | Simplifying 2589 yields: % 33.18/9.20 | (2590) ~ (all_0_57_57 = e3) % 33.18/9.20 | % 33.18/9.20 | Equations (994) can reduce 274 to: % 33.18/9.20 | (223) ~ (e3 = e2) % 33.18/9.20 | % 33.18/9.20 | From (994) and (242) follows: % 33.18/9.20 | (2592) op(e3, e3) = all_0_26_26 % 33.18/9.20 | % 33.18/9.20 | From (994) and (54) follows: % 33.18/9.20 | (2593) op(e3, e1) = all_0_25_25 % 33.18/9.20 | % 33.18/9.20 | From (994) and (224) follows: % 33.18/9.20 | (650) op(e1, e3) = e3 % 33.18/9.20 | % 33.18/9.20 +-Applying beta-rule and splitting (250), into two cases. % 33.18/9.20 |-Branch one: % 33.18/9.20 | (897) all_0_57_57 = e2 % 33.18/9.20 | % 33.18/9.20 | Equations (897) can reduce 377 to: % 33.18/9.20 | (303) $false % 33.18/9.20 | % 33.18/9.20 |-The branch is then unsatisfiable % 33.18/9.20 |-Branch two: % 33.18/9.20 | (377) ~ (all_0_57_57 = e2) % 33.18/9.20 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 33.18/9.20 | % 33.18/9.20 +-Applying beta-rule and splitting (2652), into two cases. % 33.18/9.20 |-Branch one: % 33.18/9.20 | (589) all_0_57_57 = e1 % 33.18/9.20 | % 33.18/9.21 | Combining equations (589,3248) yields a new equation: % 33.18/9.21 | (10851) all_0_2_2 = e1 % 33.18/9.21 | % 33.18/9.21 | Equations (589) can reduce 172 to: % 33.18/9.21 | (587) ~ (all_0_56_56 = e1) % 33.18/9.21 | % 33.18/9.21 | Equations (589) can reduce 222 to: % 33.18/9.21 | (3274) ~ (all_0_59_59 = e1) % 33.18/9.21 | % 33.18/9.21 | Simplifying 3274 yields: % 33.18/9.21 | (603) ~ (all_0_59_59 = e1) % 33.18/9.21 | % 33.18/9.21 | Equations (589) can reduce 81 to: % 33.18/9.21 | (1050) ~ (all_0_60_60 = e1) % 33.18/9.21 | % 33.18/9.21 | Simplifying 1050 yields: % 33.18/9.21 | (501) ~ (all_0_60_60 = e1) % 33.18/9.21 | % 33.18/9.21 | Equations (589) can reduce 202 to: % 33.18/9.21 | (605) ~ (e4 = e1) % 33.18/9.21 | % 33.18/9.21 | Simplifying 605 yields: % 33.18/9.21 | (247) ~ (e4 = e1) % 33.18/9.21 | % 33.18/9.21 | Equations (589) can reduce 377 to: % 33.18/9.21 | (565) ~ (e2 = e1) % 33.18/9.21 | % 33.18/9.21 | Simplifying 565 yields: % 33.18/9.21 | (144) ~ (e2 = e1) % 33.18/9.21 | % 33.18/9.21 | Equations (589) can reduce 2273 to: % 33.18/9.21 | (134) ~ (e1 = e0) % 33.18/9.21 | % 33.18/9.21 | From (589) and (35) follows: % 33.18/9.21 | (3953) op(e1, e3) = all_0_34_34 % 33.18/9.21 | % 33.18/9.21 +-Applying beta-rule and splitting (175), into two cases. % 33.18/9.21 |-Branch one: % 33.18/9.21 | (624) all_0_40_40 = e1 % 33.18/9.21 | % 33.18/9.21 | Combining equations (917,624) yields a new equation: % 33.18/9.21 | (584) e2 = e1 % 33.18/9.21 | % 33.18/9.21 | Simplifying 584 yields: % 33.18/9.21 | (585) e2 = e1 % 33.18/9.21 | % 33.18/9.21 | Equations (585) can reduce 144 to: % 33.18/9.21 | (303) $false % 33.18/9.21 | % 33.18/9.21 |-The branch is then unsatisfiable % 33.18/9.21 |-Branch two: % 33.18/9.21 | (683) ~ (all_0_40_40 = e1) % 33.18/9.21 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 33.18/9.21 | % 33.18/9.21 +-Applying beta-rule and splitting (684), into two cases. % 33.18/9.21 |-Branch one: % 33.18/9.21 | (748) all_0_48_48 = e1 % 33.18/9.21 | % 33.18/9.21 | Combining equations (380,748) yields a new equation: % 33.18/9.21 | (590) e1 = e0 % 33.18/9.21 | % 33.18/9.21 | Equations (590) can reduce 134 to: % 33.18/9.21 | (303) $false % 33.18/9.21 | % 33.18/9.21 |-The branch is then unsatisfiable % 33.18/9.21 |-Branch two: % 33.18/9.21 | (802) ~ (all_0_48_48 = e1) % 33.18/9.21 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 33.18/9.21 | % 33.18/9.21 +-Applying beta-rule and splitting (807), into two cases. % 33.18/9.21 |-Branch one: % 33.18/9.21 | (1070) all_0_52_52 = e1 % 33.18/9.21 | % 33.18/9.21 | Equations (1070) can reduce 169 to: % 33.18/9.21 | (463) ~ (all_0_55_55 = e1) % 33.18/9.21 | % 33.18/9.21 | Simplifying 463 yields: % 33.18/9.21 | (464) ~ (all_0_55_55 = e1) % 33.18/9.21 | % 33.18/9.21 +-Applying beta-rule and splitting (6), into two cases. % 33.18/9.21 |-Branch one: % 33.18/9.21 | (442) all_0_52_52 = e4 % 33.18/9.21 | % 33.18/9.21 | Combining equations (1070,442) yields a new equation: % 33.18/9.21 | (541) e4 = e1 % 33.18/9.21 | % 33.18/9.21 | Equations (541) can reduce 247 to: % 33.18/9.21 | (303) $false % 33.18/9.21 | % 33.18/9.21 |-The branch is then unsatisfiable % 33.18/9.21 |-Branch two: % 33.18/9.21 | (445) ~ (all_0_52_52 = e4) % 33.18/9.21 | (446) all_0_54_54 = e4 | all_0_55_55 = e4 % 33.18/9.21 | % 33.18/9.21 | Equations (1070) can reduce 445 to: % 33.18/9.21 | (605) ~ (e4 = e1) % 33.18/9.21 | % 33.18/9.21 | Simplifying 605 yields: % 33.18/9.21 | (247) ~ (e4 = e1) % 33.18/9.21 | % 33.18/9.21 +-Applying beta-rule and splitting (196), into two cases. % 33.18/9.21 |-Branch one: % 33.18/9.21 | (723) all_0_40_40 = e4 % 33.18/9.21 | % 33.18/9.21 | Combining equations (917,723) yields a new equation: % 33.18/9.21 | (470) e4 = e2 % 33.18/9.21 | % 33.18/9.21 | Equations (470) can reduce 231 to: % 33.18/9.21 | (303) $false % 33.18/9.21 | % 33.18/9.21 |-The branch is then unsatisfiable % 33.18/9.21 |-Branch two: % 33.18/9.21 | (844) ~ (all_0_40_40 = e4) % 33.18/9.21 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 33.18/9.21 | % 33.18/9.21 +-Applying beta-rule and splitting (845), into two cases. % 33.18/9.21 |-Branch one: % 33.18/9.21 | (609) all_0_48_48 = e4 % 33.18/9.21 | % 33.18/9.21 | Combining equations (609,380) yields a new equation: % 33.18/9.21 | (1573) e4 = e0 % 33.18/9.21 | % 33.18/9.21 | Simplifying 1573 yields: % 33.18/9.21 | (654) e4 = e0 % 33.18/9.21 | % 33.18/9.21 | Equations (654) can reduce 4 to: % 33.18/9.21 | (303) $false % 33.18/9.21 | % 33.18/9.21 |-The branch is then unsatisfiable % 33.18/9.21 |-Branch two: % 33.18/9.21 | (721) ~ (all_0_48_48 = e4) % 33.18/9.21 | (871) all_0_52_52 = e4 | all_0_56_56 = e4 % 33.18/9.21 | % 33.18/9.21 +-Applying beta-rule and splitting (450), into two cases. % 33.18/9.21 |-Branch one: % 33.18/9.21 | (451) all_0_46_46 = e3 % 33.18/9.21 | % 33.18/9.21 | Combining equations (252,451) yields a new equation: % 33.18/9.21 | (453) e3 = e2 % 33.18/9.21 | % 33.18/9.21 | Equations (453) can reduce 223 to: % 33.18/9.21 | (303) $false % 33.18/9.21 | % 33.18/9.21 |-The branch is then unsatisfiable % 33.18/9.21 |-Branch two: % 33.18/9.21 | (455) ~ (all_0_46_46 = e3) % 33.18/9.21 | (456) all_0_59_59 = e3 % 33.18/9.21 | % 33.18/9.21 | Equations (456) can reduce 164 to: % 33.18/9.21 | (315) ~ (all_0_60_60 = e3) % 33.18/9.21 | % 33.18/9.21 | Simplifying 315 yields: % 33.18/9.21 | (316) ~ (all_0_60_60 = e3) % 33.18/9.21 | % 33.18/9.21 | Equations (456) can reduce 603 to: % 33.18/9.21 | (136) ~ (e3 = e1) % 33.18/9.21 | % 33.18/9.21 | Equations (456) can reduce 216 to: % 33.18/9.21 | (70) ~ (e3 = e0) % 33.18/9.21 | % 33.18/9.21 | From (456) and (33) follows: % 33.18/9.21 | (5473) op(e3, e1) = all_0_38_38 % 33.18/9.21 | % 33.18/9.21 | From (456) and (16) follows: % 33.18/9.21 | (10905) op(e3, e0) = all_0_37_37 % 33.18/9.21 | % 33.18/9.21 +-Applying beta-rule and splitting (871), into two cases. % 33.18/9.21 |-Branch one: % 33.18/9.21 | (442) all_0_52_52 = e4 % 33.18/9.21 | % 33.18/9.21 | Combining equations (442,1070) yields a new equation: % 33.18/9.21 | (540) e4 = e1 % 33.18/9.21 | % 33.18/9.21 | Simplifying 540 yields: % 33.18/9.21 | (541) e4 = e1 % 33.18/9.21 | % 33.18/9.21 | Equations (541) can reduce 247 to: % 33.18/9.21 | (303) $false % 33.18/9.21 | % 33.18/9.21 |-The branch is then unsatisfiable % 33.18/9.21 |-Branch two: % 33.18/9.21 | (445) ~ (all_0_52_52 = e4) % 33.18/9.21 | (877) all_0_56_56 = e4 % 33.18/9.21 | % 33.18/9.21 | Combining equations (877,6399) yields a new equation: % 33.18/9.21 | (2623) all_0_16_16 = e4 % 33.18/9.21 | % 33.18/9.21 | Equations (877) can reduce 174 to: % 33.18/9.21 | (349) ~ (all_0_60_60 = e4) % 33.18/9.21 | % 33.18/9.21 | Simplifying 349 yields: % 33.18/9.21 | (350) ~ (all_0_60_60 = e4) % 33.18/9.21 | % 33.18/9.21 | From (877) and (185) follows: % 33.18/9.21 | (10915) op(e4, e4) = all_0_32_32 % 33.18/9.21 | % 33.18/9.21 +-Applying beta-rule and splitting (220), into two cases. % 33.18/9.21 |-Branch one: % 33.18/9.21 | (913) all_0_60_60 = e2 % 33.18/9.21 | % 33.18/9.21 | Combining equations (913,3189) yields a new equation: % 33.18/9.21 | (10917) all_0_35_35 = e2 % 33.18/9.21 | % 33.18/9.21 | Combining equations (913,6286) yields a new equation: % 33.18/9.21 | (10918) all_0_14_14 = e2 % 33.18/9.21 | % 33.18/9.21 | Equations (913) can reduce 159 to: % 33.18/9.21 | (276) ~ (all_0_55_55 = e2) % 33.18/9.21 | % 33.18/9.21 | Equations (913) can reduce 350 to: % 33.18/9.21 | (261) ~ (e4 = e2) % 33.18/9.21 | % 33.18/9.21 | Simplifying 261 yields: % 33.18/9.21 | (231) ~ (e4 = e2) % 33.18/9.21 | % 33.18/9.21 | Equations (913) can reduce 316 to: % 33.18/9.21 | (577) ~ (e3 = e2) % 33.18/9.21 | % 33.18/9.21 | Simplifying 577 yields: % 33.18/9.21 | (223) ~ (e3 = e2) % 33.18/9.21 | % 33.18/9.21 | Equations (913) can reduce 501 to: % 33.18/9.21 | (144) ~ (e2 = e1) % 33.18/9.21 | % 33.18/9.21 | Equations (913) can reduce 414 to: % 33.18/9.21 | (51) ~ (e2 = e0) % 33.18/9.21 | % 33.18/9.21 +-Applying beta-rule and splitting (446), into two cases. % 33.18/9.21 |-Branch one: % 33.18/9.21 | (469) all_0_54_54 = e4 % 33.18/9.21 | % 33.18/9.21 | Combining equations (469,271) yields a new equation: % 33.18/9.21 | (878) e4 = e2 % 33.18/9.21 | % 33.18/9.21 | Simplifying 878 yields: % 33.18/9.21 | (470) e4 = e2 % 33.18/9.21 | % 33.18/9.21 | Equations (470) can reduce 231 to: % 33.18/9.21 | (303) $false % 33.18/9.21 | % 33.18/9.21 |-The branch is then unsatisfiable % 33.18/9.21 |-Branch two: % 33.18/9.21 | (472) ~ (all_0_54_54 = e4) % 33.18/9.21 | (473) all_0_55_55 = e4 % 33.18/9.21 | % 33.18/9.21 | Equations (473) can reduce 314 to: % 33.18/9.21 | (30) ~ (e4 = e3) % 33.18/9.21 | % 33.18/9.21 | Equations (473) can reduce 276 to: % 33.18/9.21 | (231) ~ (e4 = e2) % 33.18/9.21 | % 33.18/9.21 | Equations (473) can reduce 464 to: % 33.18/9.21 | (247) ~ (e4 = e1) % 33.18/9.21 | % 33.18/9.21 | Equations (473) can reduce 93 to: % 33.18/9.21 | (4) ~ (e4 = e0) % 33.18/9.21 | % 33.18/9.21 | From (473) and (219) follows: % 33.18/9.21 | (10936) op(e4, e0) = all_0_30_30 % 33.18/9.21 | % 33.18/9.21 | From (473) and (240) follows: % 33.18/9.21 | (479) op(e1, e0) = e4 % 33.18/9.21 | % 33.18/9.21 | Instantiating formula (29) with e4, e4, e2, all_0_32_32 and discharging atoms op(e4, e4) = all_0_32_32, op(e4, e4) = e2, yields: % 33.18/9.21 | (10938) all_0_32_32 = e2 % 33.18/9.21 | % 33.18/9.21 | Instantiating formula (29) with e4, e1, e1, all_0_20_20 and discharging atoms op(e4, e1) = all_0_20_20, op(e4, e1) = e1, yields: % 33.18/9.21 | (10939) all_0_20_20 = e1 % 33.18/9.21 | % 33.18/9.21 | Instantiating formula (29) with e4, e0, e3, all_0_30_30 and discharging atoms op(e4, e0) = all_0_30_30, op(e4, e0) = e3, yields: % 33.18/9.21 | (10940) all_0_30_30 = e3 % 33.18/9.21 | % 33.18/9.21 | Instantiating formula (29) with e3, e3, all_0_26_26, e4 and discharging atoms op(e3, e3) = all_0_26_26, op(e3, e3) = e4, yields: % 33.18/9.21 | (2620) all_0_26_26 = e4 % 33.18/9.21 | % 33.18/9.21 | Instantiating formula (29) with e3, e1, all_0_25_25, e2 and discharging atoms op(e3, e1) = all_0_25_25, op(e3, e1) = e2, yields: % 33.18/9.21 | (2621) all_0_25_25 = e2 % 33.18/9.21 | % 33.18/9.21 | Instantiating formula (29) with e3, e1, all_0_38_38, all_0_25_25 and discharging atoms op(e3, e1) = all_0_25_25, op(e3, e1) = all_0_38_38, yields: % 33.18/9.21 | (5540) all_0_25_25 = all_0_38_38 % 33.18/9.21 | % 33.18/9.21 | Instantiating formula (29) with e3, e0, all_0_8_8, e0 and discharging atoms op(e3, e0) = all_0_8_8, op(e3, e0) = e0, yields: % 33.18/9.21 | (10944) all_0_8_8 = e0 % 33.18/9.21 | % 33.18/9.21 | Instantiating formula (29) with e3, e0, all_0_37_37, all_0_8_8 and discharging atoms op(e3, e0) = all_0_8_8, op(e3, e0) = all_0_37_37, yields: % 33.18/9.21 | (4410) all_0_8_8 = all_0_37_37 % 33.18/9.21 | % 33.18/9.21 | Instantiating formula (29) with e1, e3, e3, all_0_34_34 and discharging atoms op(e1, e3) = all_0_34_34, op(e1, e3) = e3, yields: % 33.18/9.21 | (3957) all_0_34_34 = e3 % 33.18/9.21 | % 33.18/9.21 | Instantiating formula (29) with e1, e1, all_0_6_6, e0 and discharging atoms op(e1, e1) = all_0_6_6, op(e1, e1) = e0, yields: % 33.18/9.21 | (10947) all_0_6_6 = e0 % 33.18/9.21 | % 33.18/9.21 | Instantiating formula (29) with e1, e0, e4, all_0_22_22 and discharging atoms op(e1, e0) = all_0_22_22, op(e1, e0) = e4, yields: % 33.18/9.21 | (6529) all_0_22_22 = e4 % 33.18/9.21 | % 33.18/9.21 | Combining equations (10944,4410) yields a new equation: % 33.18/9.21 | (10949) all_0_37_37 = e0 % 33.18/9.21 | % 33.18/9.21 | Combining equations (2621,5540) yields a new equation: % 33.18/9.22 | (5549) all_0_38_38 = e2 % 33.18/9.22 | % 33.18/9.22 | Combining equations (10949,4410) yields a new equation: % 33.18/9.22 | (10944) all_0_8_8 = e0 % 33.18/9.22 | % 33.18/9.22 +-Applying beta-rule and splitting (181), into two cases. % 33.18/9.22 |-Branch one: % 33.18/9.22 | (3497) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_51_51 = all_0_58_58)) % 33.18/9.22 | % 33.18/9.22 +-Applying beta-rule and splitting (3497), into two cases. % 33.18/9.22 |-Branch one: % 33.18/9.22 | (3498) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57)) % 33.18/9.22 | % 33.18/9.22 +-Applying beta-rule and splitting (3498), into two cases. % 33.18/9.22 |-Branch one: % 33.18/9.22 | (3499) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) % 33.18/9.22 | % 33.18/9.22 +-Applying beta-rule and splitting (3499), into two cases. % 33.18/9.22 |-Branch one: % 33.18/9.22 | (3500) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) % 33.18/9.22 | % 33.18/9.22 +-Applying beta-rule and splitting (3500), into two cases. % 33.18/9.22 |-Branch one: % 33.18/9.22 | (3501) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) % 33.18/9.22 | % 33.18/9.22 +-Applying beta-rule and splitting (3501), into two cases. % 33.18/9.22 |-Branch one: % 33.18/9.22 | (3502) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) % 33.18/9.22 | % 33.18/9.22 +-Applying beta-rule and splitting (3502), into two cases. % 33.18/9.22 |-Branch one: % 33.18/9.22 | (3503) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) % 33.18/9.22 | % 33.18/9.22 +-Applying beta-rule and splitting (3503), into two cases. % 33.18/9.22 |-Branch one: % 33.18/9.22 | (3504) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) % 33.18/9.22 | % 33.18/9.22 +-Applying beta-rule and splitting (3504), into two cases. % 33.18/9.22 |-Branch one: % 33.18/9.22 | (3505) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) % 33.18/9.22 | % 33.18/9.22 +-Applying beta-rule and splitting (3505), into two cases. % 33.18/9.22 |-Branch one: % 33.18/9.22 | (3506) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) % 33.18/9.22 | % 33.18/9.22 +-Applying beta-rule and splitting (3506), into two cases. % 33.18/9.22 |-Branch one: % 33.18/9.22 | (3507) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) % 33.18/9.22 | % 33.18/9.22 +-Applying beta-rule and splitting (3507), into two cases. % 33.18/9.22 |-Branch one: % 33.18/9.22 | (3508) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) % 33.18/9.22 | % 33.18/9.22 +-Applying beta-rule and splitting (3508), into two cases. % 33.18/9.22 |-Branch one: % 33.18/9.22 | (3509) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) % 33.18/9.22 | % 33.18/9.22 +-Applying beta-rule and splitting (3509), into two cases. % 33.18/9.22 |-Branch one: % 33.18/9.22 | (3510) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) % 33.18/9.22 | % 33.18/9.22 +-Applying beta-rule and splitting (3510), into two cases. % 33.18/9.22 |-Branch one: % 33.18/9.22 | (3511) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) % 33.18/9.22 | % 33.18/9.22 +-Applying beta-rule and splitting (3511), into two cases. % 33.18/9.22 |-Branch one: % 33.18/9.22 | (3512) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) % 33.18/9.22 | % 33.18/9.22 +-Applying beta-rule and splitting (3512), into two cases. % 33.18/9.22 |-Branch one: % 33.18/9.22 | (3513) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) % 33.18/9.22 | % 33.18/9.22 +-Applying beta-rule and splitting (3513), into two cases. % 33.18/9.22 |-Branch one: % 33.18/9.22 | (3514) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45) % 33.18/9.22 | % 33.18/9.22 | Applying alpha-rule on (3514) yields: % 33.18/9.22 | (3515) all_0_2_2 = e4 % 33.18/9.22 | (3516) ~ (all_0_1_1 = e3) % 33.18/9.22 | (3517) ~ (all_0_41_41 = all_0_45_45) % 33.18/9.22 | % 33.18/9.22 | Combining equations (3515,10851) yields a new equation: % 33.18/9.22 | (540) e4 = e1 % 33.18/9.22 | % 33.18/9.22 | Simplifying 540 yields: % 33.18/9.22 | (541) e4 = e1 % 33.18/9.22 | % 33.18/9.22 | Equations (541) can reduce 247 to: % 33.18/9.22 | (303) $false % 33.18/9.22 | % 33.18/9.22 |-The branch is then unsatisfiable % 33.18/9.22 |-Branch two: % 33.18/9.22 | (3521) all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48) % 33.18/9.22 | % 33.18/9.22 | Applying alpha-rule on (3521) yields: % 33.18/9.22 | (356) all_0_4_4 = e4 % 33.18/9.22 | (3523) ~ (all_0_3_3 = e2) % 33.18/9.22 | (3524) ~ (all_0_42_42 = all_0_48_48) % 33.18/9.22 | % 33.18/9.22 | Equations (10804) can reduce 3523 to: % 33.18/9.22 | (303) $false % 33.18/9.22 | % 33.18/9.22 |-The branch is then unsatisfiable % 33.18/9.22 |-Branch two: % 33.18/9.22 | (3526) all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52) % 33.18/9.22 | % 33.18/9.22 | Applying alpha-rule on (3526) yields: % 33.18/9.22 | (3527) all_0_6_6 = e4 % 33.18/9.22 | (3528) ~ (all_0_5_5 = e1) % 33.18/9.22 | (3529) ~ (all_0_43_43 = all_0_52_52) % 33.18/9.22 | % 33.18/9.22 | Combining equations (3527,10947) yields a new equation: % 33.18/9.22 | (1573) e4 = e0 % 33.18/9.22 | % 33.18/9.22 | Simplifying 1573 yields: % 33.18/9.22 | (654) e4 = e0 % 33.18/9.22 | % 33.18/9.22 | Equations (654) can reduce 4 to: % 33.18/9.22 | (303) $false % 33.18/9.22 | % 33.18/9.22 |-The branch is then unsatisfiable % 33.18/9.22 |-Branch two: % 33.18/9.22 | (3533) all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56) % 33.18/9.22 | % 33.18/9.22 | Applying alpha-rule on (3533) yields: % 33.18/9.23 | (3534) all_0_8_8 = e4 % 33.18/9.23 | (3535) ~ (all_0_7_7 = e0) % 33.18/9.23 | (3536) ~ (all_0_44_44 = all_0_56_56) % 33.18/9.23 | % 33.18/9.23 | Combining equations (3534,10944) yields a new equation: % 33.18/9.23 | (1573) e4 = e0 % 33.18/9.23 | % 33.18/9.23 | Simplifying 1573 yields: % 33.18/9.23 | (654) e4 = e0 % 33.18/9.23 | % 33.18/9.23 | Equations (654) can reduce 4 to: % 33.18/9.23 | (303) $false % 33.18/9.23 | % 33.18/9.23 |-The branch is then unsatisfiable % 33.18/9.23 |-Branch two: % 33.18/9.23 | (3538) all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45) % 33.18/9.23 | % 33.18/9.23 | Applying alpha-rule on (3538) yields: % 33.18/9.23 | (3539) all_0_10_10 = e3 % 33.18/9.23 | (3540) ~ (all_0_9_9 = e4) % 33.18/9.23 | (3517) ~ (all_0_41_41 = all_0_45_45) % 33.18/9.23 | % 33.18/9.23 | Equations (6284) can reduce 3540 to: % 33.18/9.23 | (303) $false % 33.18/9.23 | % 33.18/9.23 |-The branch is then unsatisfiable % 33.18/9.23 |-Branch two: % 33.18/9.23 | (3545) all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53) % 33.18/9.23 | % 33.18/9.23 | Applying alpha-rule on (3545) yields: % 33.18/9.23 | (3546) all_0_12_12 = e3 % 33.18/9.23 | (3547) ~ (all_0_11_11 = e1) % 33.18/9.23 | (3548) ~ (all_0_46_46 = all_0_53_53) % 33.18/9.23 | % 33.18/9.23 | Combining equations (3546,10794) yields a new equation: % 33.18/9.23 | (443) e4 = e3 % 33.18/9.23 | % 33.18/9.23 | Equations (443) can reduce 30 to: % 33.18/9.23 | (303) $false % 33.18/9.23 | % 33.18/9.23 |-The branch is then unsatisfiable % 33.18/9.23 |-Branch two: % 33.18/9.23 | (3552) all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57) % 33.18/9.23 | % 33.18/9.23 | Applying alpha-rule on (3552) yields: % 33.18/9.23 | (3553) all_0_14_14 = e3 % 33.18/9.23 | (3554) ~ (all_0_13_13 = e0) % 33.18/9.23 | (3555) ~ (all_0_47_47 = all_0_57_57) % 33.18/9.23 | % 33.18/9.23 | Combining equations (3553,10918) yields a new equation: % 33.18/9.23 | (452) e3 = e2 % 33.18/9.23 | % 33.18/9.23 | Simplifying 452 yields: % 33.18/9.23 | (453) e3 = e2 % 33.18/9.23 | % 33.18/9.23 | Equations (453) can reduce 223 to: % 33.18/9.23 | (303) $false % 33.18/9.23 | % 33.18/9.23 |-The branch is then unsatisfiable % 33.18/9.23 |-Branch two: % 33.18/9.23 | (3557) all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48) % 33.18/9.23 | % 33.18/9.23 | Applying alpha-rule on (3557) yields: % 33.18/9.23 | (3558) all_0_16_16 = e2 % 33.18/9.23 | (3559) ~ (all_0_15_15 = e4) % 33.18/9.23 | (3524) ~ (all_0_42_42 = all_0_48_48) % 33.18/9.23 | % 33.18/9.23 | Combining equations (3558,2623) yields a new equation: % 33.18/9.23 | (470) e4 = e2 % 33.18/9.23 | % 33.18/9.23 | Equations (470) can reduce 231 to: % 33.18/9.23 | (303) $false % 33.18/9.23 | % 33.18/9.23 |-The branch is then unsatisfiable % 33.18/9.23 |-Branch two: % 33.18/9.23 | (3562) all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1) % 33.18/9.23 | % 33.18/9.23 | Applying alpha-rule on (3562) yields: % 33.18/9.23 | (3563) all_0_18_18 = e2 % 33.18/9.23 | (3564) ~ (all_0_17_17 = e3) % 33.18/9.23 | (506) ~ (all_0_49_49 = e1) % 33.18/9.23 | % 33.30/9.23 | Equations (3246) can reduce 3564 to: % 33.30/9.23 | (303) $false % 33.30/9.23 | % 33.30/9.23 |-The branch is then unsatisfiable % 33.30/9.23 |-Branch two: % 33.30/9.23 | (3567) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54) % 33.30/9.23 | % 33.30/9.23 | Applying alpha-rule on (3567) yields: % 33.30/9.23 | (3568) all_0_20_20 = e2 % 33.30/9.23 | (3569) ~ (all_0_19_19 = e1) % 33.30/9.23 | (3570) ~ (all_0_50_50 = all_0_54_54) % 33.30/9.23 | % 33.30/9.23 | Combining equations (3568,10939) yields a new equation: % 33.30/9.23 | (584) e2 = e1 % 33.30/9.23 | % 33.30/9.23 | Simplifying 584 yields: % 33.30/9.23 | (585) e2 = e1 % 33.30/9.23 | % 33.30/9.23 | Equations (585) can reduce 144 to: % 33.30/9.23 | (303) $false % 33.30/9.23 | % 33.30/9.23 |-The branch is then unsatisfiable % 33.30/9.23 |-Branch two: % 33.30/9.23 | (3574) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58) % 33.30/9.23 | % 33.30/9.23 | Applying alpha-rule on (3574) yields: % 33.30/9.23 | (3575) all_0_22_22 = e2 % 33.30/9.23 | (3576) ~ (all_0_21_21 = e0) % 33.30/9.23 | (3577) ~ (all_0_51_51 = all_0_58_58) % 33.30/9.23 | % 33.30/9.23 | Combining equations (3575,6529) yields a new equation: % 33.30/9.23 | (470) e4 = e2 % 33.30/9.23 | % 33.30/9.23 | Equations (470) can reduce 231 to: % 33.30/9.23 | (303) $false % 33.30/9.23 | % 33.30/9.23 |-The branch is then unsatisfiable % 33.30/9.23 |-Branch two: % 33.30/9.23 | (3579) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52) % 33.30/9.23 | % 33.30/9.23 | Applying alpha-rule on (3579) yields: % 33.30/9.23 | (3580) all_0_24_24 = e1 % 33.30/9.23 | (3581) ~ (all_0_23_23 = e4) % 33.30/9.23 | (3529) ~ (all_0_43_43 = all_0_52_52) % 33.30/9.23 | % 33.30/9.23 | Equations (618,1070) can reduce 3529 to: % 33.30/9.23 | (303) $false % 33.30/9.23 | % 33.30/9.23 |-The branch is then unsatisfiable % 33.30/9.23 |-Branch two: % 33.30/9.23 | (3584) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53) % 33.30/9.23 | % 33.30/9.23 | Applying alpha-rule on (3584) yields: % 33.30/9.23 | (3585) all_0_26_26 = e1 % 33.30/9.23 | (3586) ~ (all_0_25_25 = e3) % 33.30/9.23 | (3548) ~ (all_0_46_46 = all_0_53_53) % 33.30/9.23 | % 33.30/9.23 | Combining equations (3585,2620) yields a new equation: % 33.30/9.23 | (541) e4 = e1 % 33.30/9.23 | % 33.30/9.23 | Equations (541) can reduce 247 to: % 33.30/9.23 | (303) $false % 33.30/9.23 | % 33.30/9.23 |-The branch is then unsatisfiable % 33.30/9.23 |-Branch two: % 33.30/9.23 | (3641) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54) % 33.30/9.23 | % 33.30/9.23 | Applying alpha-rule on (3641) yields: % 33.30/9.23 | (3642) all_0_28_28 = e1 % 33.30/9.23 | (3643) ~ (all_0_27_27 = e2) % 33.30/9.23 | (3570) ~ (all_0_50_50 = all_0_54_54) % 33.30/9.23 | % 33.30/9.24 | Combining equations (3642,283) yields a new equation: % 33.30/9.24 | (601) e3 = e1 % 33.30/9.24 | % 33.30/9.24 | Equations (601) can reduce 136 to: % 33.30/9.24 | (303) $false % 33.30/9.24 | % 33.30/9.24 |-The branch is then unsatisfiable % 33.30/9.24 |-Branch two: % 33.30/9.24 | (3647) all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59) % 33.30/9.24 | % 33.30/9.24 | Applying alpha-rule on (3647) yields: % 33.30/9.24 | (3648) all_0_30_30 = e1 % 33.30/9.24 | (3649) ~ (all_0_29_29 = e0) % 33.30/9.24 | (3650) ~ (all_0_55_55 = all_0_59_59) % 33.30/9.24 | % 33.30/9.24 | Combining equations (10940,3648) yields a new equation: % 33.30/9.24 | (680) e3 = e1 % 33.30/9.24 | % 33.30/9.24 | Simplifying 680 yields: % 33.30/9.24 | (601) e3 = e1 % 33.30/9.24 | % 33.30/9.24 | Equations (601) can reduce 136 to: % 33.30/9.24 | (303) $false % 33.30/9.24 | % 33.30/9.24 |-The branch is then unsatisfiable % 33.30/9.24 |-Branch two: % 33.30/9.24 | (3652) all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56) % 33.30/9.24 | % 33.30/9.24 | Applying alpha-rule on (3652) yields: % 33.30/9.24 | (3653) all_0_32_32 = e0 % 33.30/9.24 | (3654) ~ (all_0_31_31 = e4) % 33.30/9.24 | (3536) ~ (all_0_44_44 = all_0_56_56) % 33.30/9.24 | % 33.30/9.24 | Combining equations (10938,3653) yields a new equation: % 33.30/9.24 | (403) e2 = e0 % 33.30/9.24 | % 33.30/9.24 | Simplifying 403 yields: % 33.30/9.24 | (385) e2 = e0 % 33.30/9.24 | % 33.30/9.24 | Equations (385) can reduce 51 to: % 33.30/9.24 | (303) $false % 33.30/9.24 | % 33.30/9.24 |-The branch is then unsatisfiable % 33.30/9.24 |-Branch two: % 33.30/9.24 | (3657) all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57) % 33.30/9.24 | % 33.30/9.24 | Applying alpha-rule on (3657) yields: % 33.30/9.24 | (421) all_0_34_34 = e0 % 33.30/9.24 | (3659) ~ (all_0_33_33 = e3) % 33.30/9.24 | (3555) ~ (all_0_47_47 = all_0_57_57) % 33.30/9.24 | % 33.30/9.24 | Combining equations (3957,421) yields a new equation: % 33.30/9.24 | (496) e3 = e0 % 33.30/9.24 | % 33.30/9.24 | Simplifying 496 yields: % 33.30/9.24 | (497) e3 = e0 % 33.30/9.24 | % 33.30/9.24 | Equations (497) can reduce 70 to: % 33.30/9.24 | (303) $false % 33.30/9.24 | % 33.30/9.24 |-The branch is then unsatisfiable % 33.30/9.24 |-Branch two: % 33.30/9.24 | (3662) all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_51_51 = all_0_58_58) % 33.30/9.24 | % 33.30/9.24 | Applying alpha-rule on (3662) yields: % 33.30/9.24 | (354) all_0_36_36 = e0 % 33.30/9.24 | (3664) ~ (all_0_35_35 = e2) % 33.30/9.24 | (3577) ~ (all_0_51_51 = all_0_58_58) % 33.30/9.24 | % 33.30/9.24 | Equations (10917) can reduce 3664 to: % 33.30/9.24 | (303) $false % 33.30/9.24 | % 33.30/9.24 |-The branch is then unsatisfiable % 33.30/9.24 |-Branch two: % 33.30/9.24 | (3667) all_0_38_38 = e0 & ~ (all_0_37_37 = e1) & ~ (all_0_55_55 = all_0_59_59) % 33.30/9.24 | % 33.30/9.24 | Applying alpha-rule on (3667) yields: % 33.30/9.24 | (3668) all_0_38_38 = e0 % 33.30/9.24 | (3669) ~ (all_0_37_37 = e1) % 33.30/9.24 | (3650) ~ (all_0_55_55 = all_0_59_59) % 33.30/9.24 | % 33.30/9.24 | Combining equations (5549,3668) yields a new equation: % 33.30/9.24 | (403) e2 = e0 % 33.30/9.24 | % 33.30/9.24 | Simplifying 403 yields: % 33.30/9.24 | (385) e2 = e0 % 33.30/9.24 | % 33.30/9.24 | Equations (385) can reduce 51 to: % 33.30/9.24 | (303) $false % 33.30/9.24 | % 33.30/9.24 |-The branch is then unsatisfiable % 33.30/9.24 |-Branch two: % 33.30/9.24 | (571) ~ (all_0_60_60 = e2) % 33.30/9.24 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 33.30/9.24 | % 33.30/9.24 +-Applying beta-rule and splitting (1275), into two cases. % 33.30/9.24 |-Branch one: % 33.30/9.24 | (1510) all_0_60_60 = e4 % 33.30/9.24 | % 33.30/9.24 | Equations (1510) can reduce 350 to: % 33.30/9.24 | (303) $false % 33.30/9.24 | % 33.30/9.24 |-The branch is then unsatisfiable % 33.30/9.24 |-Branch two: % 33.30/9.24 | (350) ~ (all_0_60_60 = e4) % 33.30/9.24 | (1906) all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 33.30/9.24 | % 33.30/9.24 +-Applying beta-rule and splitting (1906), into two cases. % 33.30/9.24 |-Branch one: % 33.30/9.24 | (604) all_0_60_60 = e1 % 33.30/9.24 | % 33.30/9.24 | Equations (604) can reduce 501 to: % 33.30/9.24 | (303) $false % 33.30/9.24 | % 33.30/9.24 |-The branch is then unsatisfiable % 33.30/9.24 |-Branch two: % 33.30/9.24 | (501) ~ (all_0_60_60 = e1) % 33.30/9.24 | (1933) all_0_60_60 = e3 | all_0_60_60 = e0 % 33.30/9.24 | % 33.30/9.24 +-Applying beta-rule and splitting (1933), into two cases. % 33.30/9.24 |-Branch one: % 33.30/9.24 | (1934) all_0_60_60 = e0 % 33.30/9.24 | % 33.30/9.24 | Equations (1934) can reduce 414 to: % 33.30/9.24 | (303) $false % 33.30/9.24 | % 33.30/9.24 |-The branch is then unsatisfiable % 33.30/9.24 |-Branch two: % 33.30/9.24 | (414) ~ (all_0_60_60 = e0) % 33.30/9.24 | (1937) all_0_60_60 = e3 % 33.30/9.24 | % 33.30/9.24 | Equations (1937) can reduce 316 to: % 33.30/9.24 | (303) $false % 33.30/9.24 | % 33.30/9.24 |-The branch is then unsatisfiable % 33.30/9.24 |-Branch two: % 33.30/9.24 | (502) ~ (all_0_52_52 = e1) % 33.30/9.24 | (583) all_0_56_56 = e1 % 33.30/9.24 | % 33.30/9.24 | Equations (583) can reduce 587 to: % 33.30/9.24 | (303) $false % 33.30/9.24 | % 33.30/9.24 |-The branch is then unsatisfiable % 33.30/9.24 |-Branch two: % 33.30/9.24 | (592) ~ (all_0_57_57 = e1) % 33.30/9.24 | (3062) all_0_57_57 = e3 | all_0_57_57 = e0 % 33.30/9.24 | % 33.30/9.24 +-Applying beta-rule and splitting (3062), into two cases. % 33.30/9.24 |-Branch one: % 33.30/9.24 | (407) all_0_57_57 = e0 % 33.30/9.24 | % 33.30/9.24 | Equations (407) can reduce 2273 to: % 33.30/9.24 | (303) $false % 33.30/9.24 | % 33.30/9.24 |-The branch is then unsatisfiable % 33.30/9.24 |-Branch two: % 33.30/9.24 | (2273) ~ (all_0_57_57 = e0) % 33.30/9.24 | (1001) all_0_57_57 = e3 % 33.30/9.24 | % 33.30/9.24 | Equations (1001) can reduce 2590 to: % 33.30/9.24 | (303) $false % 33.30/9.24 | % 33.30/9.24 |-The branch is then unsatisfiable % 33.30/9.24 |-Branch two: % 33.30/9.24 | (428) ~ (all_0_53_53 = e3) % 33.30/9.24 | (2165) all_0_55_55 = e3 % 33.30/9.24 | % 33.30/9.24 | Equations (2165) can reduce 314 to: % 33.30/9.24 | (303) $false % 33.30/9.24 | % 33.30/9.24 |-The branch is then unsatisfiable % 33.30/9.24 |-Branch two: % 33.30/9.24 | (939) ~ (all_0_40_40 = e2) % 33.30/9.24 | (2671) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 33.30/9.24 | % 33.30/9.24 +-Applying beta-rule and splitting (803), into two cases. % 33.30/9.24 |-Branch one: % 33.30/9.24 | (1580) all_0_49_49 = e1 % 33.30/9.24 | % 33.30/9.24 | Combining equations (368,1580) yields a new equation: % 33.30/9.24 | (584) e2 = e1 % 33.30/9.24 | % 33.30/9.24 | Simplifying 584 yields: % 33.30/9.24 | (585) e2 = e1 % 33.30/9.24 | % 33.30/9.24 | Equations (585) can reduce 144 to: % 33.30/9.24 | (303) $false % 33.30/9.24 | % 33.30/9.24 |-The branch is then unsatisfiable % 33.30/9.24 |-Branch two: % 33.30/9.24 | (506) ~ (all_0_49_49 = e1) % 33.30/9.24 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 33.30/9.24 | % 33.30/9.24 +-Applying beta-rule and splitting (1585), into two cases. % 33.30/9.24 |-Branch one: % 33.30/9.24 | (627) all_0_50_50 = e1 % 33.30/9.24 | % 33.30/9.24 | Combining equations (714,627) yields a new equation: % 33.30/9.24 | (540) e4 = e1 % 33.30/9.24 | % 33.30/9.24 | Simplifying 540 yields: % 33.30/9.24 | (541) e4 = e1 % 33.30/9.24 | % 33.30/9.24 | Equations (541) can reduce 247 to: % 33.30/9.24 | (303) $false % 33.30/9.24 | % 33.30/9.24 |-The branch is then unsatisfiable % 33.30/9.24 |-Branch two: % 33.30/9.24 | (678) ~ (all_0_50_50 = e1) % 33.30/9.24 | (1590) all_0_51_51 = e1 % 33.30/9.24 | % 33.30/9.24 | Equations (1590) can reduce 32 to: % 33.30/9.24 | (465) ~ (e3 = e1) % 33.30/9.24 | % 33.30/9.24 | Simplifying 465 yields: % 33.30/9.24 | (136) ~ (e3 = e1) % 33.30/9.24 | % 33.30/9.24 +-Applying beta-rule and splitting (5989), into two cases. % 33.30/9.24 |-Branch one: % 33.30/9.24 | (447) all_0_43_43 = e3 % 33.30/9.24 | % 33.30/9.24 | Combining equations (618,447) yields a new equation: % 33.30/9.24 | (601) e3 = e1 % 33.30/9.24 | % 33.30/9.24 | Equations (601) can reduce 136 to: % 33.30/9.24 | (303) $false % 33.30/9.24 | % 33.30/9.24 |-The branch is then unsatisfiable % 33.30/9.24 |-Branch two: % 33.30/9.24 | (434) ~ (all_0_43_43 = e3) % 33.30/9.24 | (2081) all_0_44_44 = e3 % 33.30/9.24 | % 33.30/9.24 | Equations (2081) can reduce 124 to: % 33.30/9.24 | (432) ~ (all_0_40_40 = e3) % 33.30/9.24 | % 33.30/9.24 +-Applying beta-rule and splitting (2671), into two cases. % 33.30/9.24 |-Branch one: % 33.30/9.24 | (723) all_0_40_40 = e4 % 33.30/9.24 | % 33.30/9.24 | Equations (723) can reduce 844 to: % 33.30/9.24 | (303) $false % 33.30/9.24 | % 33.30/9.24 |-The branch is then unsatisfiable % 33.30/9.24 |-Branch two: % 33.30/9.24 | (844) ~ (all_0_40_40 = e4) % 33.30/9.24 | (2800) all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 33.30/9.24 | % 33.30/9.24 +-Applying beta-rule and splitting (175), into two cases. % 33.30/9.24 |-Branch one: % 33.30/9.24 | (624) all_0_40_40 = e1 % 33.30/9.24 | % 33.30/9.24 | Equations (624) can reduce 683 to: % 33.30/9.24 | (303) $false % 33.30/9.24 | % 33.30/9.24 |-The branch is then unsatisfiable % 33.30/9.24 |-Branch two: % 33.30/9.24 | (683) ~ (all_0_40_40 = e1) % 33.30/9.24 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 33.30/9.24 | % 33.30/9.24 +-Applying beta-rule and splitting (2800), into two cases. % 33.30/9.24 |-Branch one: % 33.30/9.24 | (624) all_0_40_40 = e1 % 33.30/9.24 | % 33.30/9.24 | Equations (624) can reduce 683 to: % 33.30/9.24 | (303) $false % 33.30/9.24 | % 33.30/9.24 |-The branch is then unsatisfiable % 33.30/9.24 |-Branch two: % 33.30/9.24 | (683) ~ (all_0_40_40 = e1) % 33.30/9.24 | (2833) all_0_40_40 = e3 | all_0_40_40 = e0 % 33.30/9.24 | % 33.30/9.24 +-Applying beta-rule and splitting (2833), into two cases. % 33.30/9.24 |-Branch one: % 33.30/9.24 | (2834) all_0_40_40 = e0 % 33.30/9.24 | % 33.30/9.24 | Equations (2834) can reduce 288 to: % 33.30/9.24 | (303) $false % 33.30/9.24 | % 33.30/9.24 |-The branch is then unsatisfiable % 33.30/9.24 |-Branch two: % 33.30/9.24 | (288) ~ (all_0_40_40 = e0) % 33.30/9.24 | (1102) all_0_40_40 = e3 % 33.30/9.24 | % 33.30/9.24 | Equations (1102) can reduce 432 to: % 33.30/9.24 | (303) $false % 33.30/9.24 | % 33.30/9.24 |-The branch is then unsatisfiable % 33.30/9.25 |-Branch two: % 33.30/9.25 | (611) ~ (all_0_50_50 = e4) % 33.30/9.25 | (627) all_0_50_50 = e1 % 33.30/9.25 | % 33.30/9.25 | Equations (627) can reduce 678 to: % 33.30/9.25 | (303) $false % 33.30/9.25 | % 33.30/9.25 |-The branch is then unsatisfiable % 33.30/9.25 |-Branch two: % 33.30/9.25 | (622) ~ (all_0_43_43 = e1) % 33.30/9.25 | (447) all_0_43_43 = e3 % 33.30/9.25 | % 33.30/9.25 | Equations (447) can reduce 434 to: % 33.30/9.25 | (303) $false % 33.30/9.25 | % 33.30/9.25 |-The branch is then unsatisfiable % 33.30/9.25 |-Branch two: % 33.30/9.25 | (292) ~ (all_0_48_48 = e0) % 33.30/9.25 | (383) all_0_49_49 = e0 | all_0_51_51 = e0 % 33.30/9.25 | % 33.30/9.25 +-Applying beta-rule and splitting (383), into two cases. % 33.30/9.25 |-Branch one: % 33.30/9.25 | (384) all_0_49_49 = e0 % 33.30/9.25 | % 33.30/9.25 | Combining equations (368,384) yields a new equation: % 33.30/9.25 | (403) e2 = e0 % 33.30/9.25 | % 33.30/9.25 | Simplifying 403 yields: % 33.30/9.25 | (385) e2 = e0 % 33.30/9.25 | % 33.30/9.25 | Equations (385) can reduce 51 to: % 33.30/9.25 | (303) $false % 33.30/9.25 | % 33.30/9.25 |-The branch is then unsatisfiable % 33.30/9.25 |-Branch two: % 33.30/9.25 | (387) ~ (all_0_49_49 = e0) % 33.30/9.25 | (388) all_0_51_51 = e0 % 33.30/9.25 | % 33.30/9.25 | Equations (388) can reduce 2347 to: % 33.30/9.25 | (303) $false % 33.30/9.25 | % 33.30/9.25 |-The branch is then unsatisfiable % 33.30/9.25 |-Branch two: % 33.30/9.25 | (326) ~ (all_0_41_41 = e0) % 33.30/9.25 | (401) all_0_49_49 = e0 | all_0_57_57 = e0 % 33.30/9.25 | % 33.30/9.25 +-Applying beta-rule and splitting (401), into two cases. % 33.30/9.25 |-Branch one: % 33.30/9.25 | (384) all_0_49_49 = e0 % 33.30/9.25 | % 33.30/9.25 | Combining equations (384,368) yields a new equation: % 33.30/9.25 | (385) e2 = e0 % 33.30/9.25 | % 33.30/9.25 | Equations (385) can reduce 51 to: % 33.30/9.25 | (303) $false % 33.30/9.25 | % 33.30/9.25 |-The branch is then unsatisfiable % 33.30/9.25 |-Branch two: % 33.30/9.25 | (387) ~ (all_0_49_49 = e0) % 33.30/9.25 | (407) all_0_57_57 = e0 % 33.30/9.25 | % 33.30/9.25 | Equations (407) can reduce 2273 to: % 33.30/9.25 | (303) $false % 33.30/9.25 | % 33.30/9.25 |-The branch is then unsatisfiable % 33.30/9.25 |-Branch two: % 33.30/9.25 | (2167) ~ (all_0_49_49 = e2) % 33.30/9.25 | (2168) all_0_49_49 = e1 | all_0_49_49 = e0 % 33.30/9.25 | % 33.30/9.25 +-Applying beta-rule and splitting (97), into two cases. % 33.30/9.25 |-Branch one: % 33.30/9.25 | (727) all_0_48_48 = e2 % 33.30/9.25 | % 33.30/9.25 | Equations (727) can reduce 58 to: % 33.30/9.25 | (2170) ~ (all_0_49_49 = e2) % 33.30/9.25 | % 33.30/9.25 | Simplifying 2170 yields: % 33.30/9.25 | (2167) ~ (all_0_49_49 = e2) % 33.30/9.25 | % 33.30/9.25 | Equations (727) can reduce 127 to: % 33.30/9.25 | (372) ~ (all_0_51_51 = e2) % 33.30/9.25 | % 33.30/9.25 | Simplifying 372 yields: % 33.30/9.25 | (373) ~ (all_0_51_51 = e2) % 33.30/9.25 | % 33.30/9.25 | Equations (727) can reduce 2 to: % 33.30/9.25 | (2174) ~ (all_0_56_56 = e2) % 33.30/9.25 | % 33.30/9.25 | Simplifying 2174 yields: % 33.30/9.25 | (594) ~ (all_0_56_56 = e2) % 33.30/9.25 | % 33.30/9.25 | From (727) and (187) follows: % 33.30/9.25 | (8209) op(e2, e4) = all_0_16_16 % 33.30/9.25 | % 33.30/9.25 | From (727) and (103) follows: % 33.30/9.25 | (8210) op(e2, e2) = all_0_15_15 % 33.30/9.25 | % 33.30/9.25 | From (727) and (105) follows: % 33.30/9.25 | (637) op(e2, e4) = e2 % 33.30/9.25 | % 33.30/9.25 +-Applying beta-rule and splitting (67), into two cases. % 33.30/9.25 |-Branch one: % 33.30/9.25 | (380) all_0_48_48 = e0 % 33.30/9.25 | % 33.30/9.25 | Combining equations (380,727) yields a new equation: % 33.30/9.25 | (385) e2 = e0 % 33.30/9.25 | % 33.30/9.25 | Equations (385) can reduce 51 to: % 33.30/9.25 | (303) $false % 33.30/9.25 | % 33.30/9.25 |-The branch is then unsatisfiable % 33.30/9.25 |-Branch two: % 33.30/9.25 | (292) ~ (all_0_48_48 = e0) % 33.30/9.25 | (383) all_0_49_49 = e0 | all_0_51_51 = e0 % 33.30/9.25 | % 33.30/9.25 +-Applying beta-rule and splitting (41), into two cases. % 33.30/9.25 |-Branch one: % 33.30/9.25 | (2834) all_0_40_40 = e0 % 33.30/9.25 | % 33.30/9.25 | Equations (2834) can reduce 151 to: % 33.30/9.25 | (11195) ~ (all_0_41_41 = e0) % 33.30/9.25 | % 33.30/9.25 | Simplifying 11195 yields: % 33.30/9.25 | (326) ~ (all_0_41_41 = e0) % 33.30/9.25 | % 33.30/9.25 | Equations (2834) can reduce 57 to: % 33.30/9.25 | (295) ~ (all_0_56_56 = e0) % 33.30/9.25 | % 33.30/9.25 | Simplifying 295 yields: % 33.30/9.25 | (296) ~ (all_0_56_56 = e0) % 33.30/9.25 | % 33.30/9.25 | From (2834) and (168) follows: % 33.30/9.25 | (11199) op(e4, e4) = e0 % 33.30/9.25 | % 33.30/9.25 +-Applying beta-rule and splitting (150), into two cases. % 33.30/9.25 |-Branch one: % 33.30/9.25 | (398) all_0_41_41 = e0 % 33.30/9.25 | % 33.30/9.25 | Equations (398) can reduce 326 to: % 33.30/9.25 | (303) $false % 33.30/9.25 | % 33.30/9.25 |-The branch is then unsatisfiable % 33.30/9.25 |-Branch two: % 33.30/9.25 | (326) ~ (all_0_41_41 = e0) % 33.30/9.25 | (401) all_0_49_49 = e0 | all_0_57_57 = e0 % 33.30/9.25 | % 33.30/9.25 +-Applying beta-rule and splitting (401), into two cases. % 33.30/9.25 |-Branch one: % 33.30/9.25 | (384) all_0_49_49 = e0 % 33.30/9.25 | % 33.30/9.25 | Equations (384) can reduce 177 to: % 33.30/9.25 | (326) ~ (all_0_41_41 = e0) % 33.30/9.25 | % 33.30/9.25 | Equations (384) can reduce 37 to: % 33.30/9.25 | (6386) ~ (all_0_50_50 = e0) % 33.30/9.25 | % 33.30/9.25 | Simplifying 6386 yields: % 33.30/9.25 | (207) ~ (all_0_50_50 = e0) % 33.30/9.25 | % 33.30/9.25 | Equations (384) can reduce 160 to: % 33.30/9.25 | (5945) ~ (all_0_51_51 = e0) % 33.30/9.25 | % 33.30/9.25 | Simplifying 5945 yields: % 33.30/9.25 | (2347) ~ (all_0_51_51 = e0) % 33.30/9.25 | % 33.30/9.25 | Equations (384) can reduce 226 to: % 33.30/9.25 | (2272) ~ (all_0_57_57 = e0) % 33.30/9.25 | % 33.30/9.25 | Simplifying 2272 yields: % 33.30/9.25 | (2273) ~ (all_0_57_57 = e0) % 33.30/9.25 | % 33.30/9.25 | Equations (384) can reduce 2167 to: % 33.30/9.25 | (335) ~ (e2 = e0) % 33.30/9.25 | % 33.30/9.25 | Simplifying 335 yields: % 33.30/9.25 | (51) ~ (e2 = e0) % 33.30/9.25 | % 33.30/9.25 | From (384) and (65) follows: % 33.30/9.25 | (2548) op(e0, e3) = all_0_18_18 % 33.30/9.25 | % 33.30/9.25 +-Applying beta-rule and splitting (56), into two cases. % 33.30/9.25 |-Branch one: % 33.30/9.25 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 33.30/9.25 | % 33.30/9.25 +-Applying beta-rule and splitting (480), into two cases. % 33.30/9.25 |-Branch one: % 33.30/9.25 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 33.30/9.25 | % 33.30/9.25 +-Applying beta-rule and splitting (481), into two cases. % 33.30/9.25 |-Branch one: % 33.30/9.25 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 33.30/9.25 | % 33.30/9.25 +-Applying beta-rule and splitting (482), into two cases. % 33.30/9.25 |-Branch one: % 33.30/9.25 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 33.30/9.25 | % 33.30/9.25 | Applying alpha-rule on (483) yields: % 33.30/9.25 | (484) ~ (unit = e4) % 33.30/9.25 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 33.30/9.25 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 33.30/9.25 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 33.30/9.25 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 33.30/9.25 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 33.30/9.25 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 33.30/9.25 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 33.30/9.25 | (492) ~ (all_0_55_55 = e4) % 33.30/9.25 | (493) all_0_45_45 = e3 % 33.30/9.25 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 33.30/9.25 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 33.30/9.25 | % 33.30/9.25 +-Applying beta-rule and splitting (491), into two cases. % 33.30/9.25 |-Branch one: % 33.30/9.25 | (6245) ~ (all_0_42_42 = e4) % 33.30/9.25 | % 33.30/9.25 | Equations (3175) can reduce 6245 to: % 33.30/9.25 | (303) $false % 33.30/9.25 | % 33.30/9.25 |-The branch is then unsatisfiable % 33.30/9.25 |-Branch two: % 33.30/9.25 | (3175) all_0_42_42 = e4 % 33.30/9.25 | (917) all_0_40_40 = e2 % 33.30/9.25 | % 33.30/9.25 | Combining equations (917,2834) yields a new equation: % 33.30/9.25 | (403) e2 = e0 % 33.30/9.25 | % 33.30/9.25 | Simplifying 403 yields: % 33.30/9.25 | (385) e2 = e0 % 33.30/9.25 | % 33.30/9.25 | Equations (385) can reduce 51 to: % 33.30/9.25 | (303) $false % 33.30/9.25 | % 33.30/9.25 |-The branch is then unsatisfiable % 33.30/9.25 |-Branch two: % 33.30/9.25 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 33.30/9.25 | % 33.30/9.25 | Applying alpha-rule on (499) yields: % 33.30/9.25 | (500) ~ (all_0_51_51 = e1) % 33.30/9.25 | (501) ~ (all_0_60_60 = e1) % 33.30/9.25 | (502) ~ (all_0_52_52 = e1) % 33.30/9.25 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 33.30/9.25 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 33.30/9.25 | (252) all_0_46_46 = e2 % 33.30/9.25 | (506) ~ (all_0_49_49 = e1) % 33.30/9.25 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 33.30/9.25 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 33.30/9.25 | (509) ~ (all_0_53_53 = e1) % 33.30/9.25 | (510) ~ (unit = e1) % 33.30/9.25 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 33.30/9.25 | (512) ~ (all_0_44_44 = e1) % 33.30/9.25 | % 33.30/9.25 +-Applying beta-rule and splitting (27), into two cases. % 33.30/9.25 |-Branch one: % 33.30/9.25 | (705) all_0_44_44 = e1 % 33.30/9.25 | % 33.30/9.25 | Equations (705) can reduce 512 to: % 33.30/9.25 | (303) $false % 33.30/9.25 | % 33.30/9.25 |-The branch is then unsatisfiable % 33.30/9.25 |-Branch two: % 33.30/9.25 | (512) ~ (all_0_44_44 = e1) % 33.30/9.25 | (1589) all_0_51_51 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1 % 33.30/9.25 | % 33.30/9.25 +-Applying beta-rule and splitting (1589), into two cases. % 33.30/9.25 |-Branch one: % 33.30/9.25 | (1590) all_0_51_51 = e1 % 33.30/9.25 | % 33.30/9.25 | Equations (1590) can reduce 500 to: % 33.30/9.25 | (303) $false % 33.30/9.25 | % 33.30/9.25 |-The branch is then unsatisfiable % 33.30/9.25 |-Branch two: % 33.30/9.25 | (500) ~ (all_0_51_51 = e1) % 33.30/9.25 | (1594) all_0_55_55 = e1 | all_0_60_60 = e1 % 33.30/9.25 | % 33.30/9.25 +-Applying beta-rule and splitting (1594), into two cases. % 33.30/9.25 |-Branch one: % 33.30/9.25 | (530) all_0_55_55 = e1 % 33.30/9.25 | % 33.30/9.25 | Equations (530) can reduce 13 to: % 33.30/9.25 | (500) ~ (all_0_51_51 = e1) % 33.30/9.25 | % 33.30/9.25 +-Applying beta-rule and splitting (6), into two cases. % 33.30/9.25 |-Branch one: % 33.30/9.25 | (442) all_0_52_52 = e4 % 33.30/9.25 | % 33.30/9.25 | Equations (442) can reduce 149 to: % 33.30/9.25 | (2280) ~ (all_0_56_56 = e4) % 33.30/9.25 | % 33.30/9.25 | Simplifying 2280 yields: % 33.30/9.25 | (345) ~ (all_0_56_56 = e4) % 33.30/9.25 | % 33.30/9.25 | Equations (442) can reduce 521 to: % 33.30/9.25 | (30) ~ (e4 = e3) % 33.30/9.25 | % 33.30/9.25 | From (442) and (45) follows: % 33.30/9.25 | (2564) op(e4, e4) = all_0_24_24 % 33.30/9.25 | % 33.30/9.25 | From (442) and (152) follows: % 33.30/9.26 | (649) op(e1, e4) = e4 % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (64), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (425) all_0_52_52 = e3 % 33.30/9.26 | % 33.30/9.26 | Combining equations (425,442) yields a new equation: % 33.30/9.26 | (443) e4 = e3 % 33.30/9.26 | % 33.30/9.26 | Equations (443) can reduce 30 to: % 33.30/9.26 | (303) $false % 33.30/9.26 | % 33.30/9.26 |-The branch is then unsatisfiable % 33.30/9.26 |-Branch two: % 33.30/9.26 | (521) ~ (all_0_52_52 = e3) % 33.30/9.26 | (1006) all_0_53_53 = e3 | all_0_55_55 = e3 % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (1006), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (994) all_0_53_53 = e3 % 33.30/9.26 | % 33.30/9.26 | Equations (994) can reduce 121 to: % 33.30/9.26 | (996) ~ (all_0_41_41 = e3) % 33.30/9.26 | % 33.30/9.26 | Equations (994) can reduce 251 to: % 33.30/9.26 | (2589) ~ (all_0_57_57 = e3) % 33.30/9.26 | % 33.30/9.26 | Simplifying 2589 yields: % 33.30/9.26 | (2590) ~ (all_0_57_57 = e3) % 33.30/9.26 | % 33.30/9.26 | From (994) and (54) follows: % 33.30/9.26 | (2593) op(e3, e1) = all_0_25_25 % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (166), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (927) all_0_51_51 = e2 % 33.30/9.26 | % 33.30/9.26 | Equations (927) can reduce 373 to: % 33.30/9.26 | (303) $false % 33.30/9.26 | % 33.30/9.26 |-The branch is then unsatisfiable % 33.30/9.26 |-Branch two: % 33.30/9.26 | (373) ~ (all_0_51_51 = e2) % 33.30/9.26 | (6448) all_0_51_51 = e4 | all_0_51_51 = e1 | all_0_51_51 = e0 % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (6448), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (1501) all_0_51_51 = e4 % 33.30/9.26 | % 33.30/9.26 | Equations (1501) can reduce 95 to: % 33.30/9.26 | (349) ~ (all_0_60_60 = e4) % 33.30/9.26 | % 33.30/9.26 | Simplifying 349 yields: % 33.30/9.26 | (350) ~ (all_0_60_60 = e4) % 33.30/9.26 | % 33.30/9.26 | Equations (1501) can reduce 2347 to: % 33.30/9.26 | (4) ~ (e4 = e0) % 33.30/9.26 | % 33.30/9.26 | From (1501) and (66) follows: % 33.30/9.26 | (10154) op(e2, e0) = e4 % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (243), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (877) all_0_56_56 = e4 % 33.30/9.26 | % 33.30/9.26 | Equations (877) can reduce 345 to: % 33.30/9.26 | (303) $false % 33.30/9.26 | % 33.30/9.26 |-The branch is then unsatisfiable % 33.30/9.26 |-Branch two: % 33.30/9.26 | (345) ~ (all_0_56_56 = e4) % 33.30/9.26 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (141), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (580) all_0_56_56 = e2 % 33.30/9.26 | % 33.30/9.26 | Equations (580) can reduce 594 to: % 33.30/9.26 | (303) $false % 33.30/9.26 | % 33.30/9.26 |-The branch is then unsatisfiable % 33.30/9.26 |-Branch two: % 33.30/9.26 | (594) ~ (all_0_56_56 = e2) % 33.30/9.26 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (979), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (877) all_0_56_56 = e4 % 33.30/9.26 | % 33.30/9.26 | Equations (877) can reduce 345 to: % 33.30/9.26 | (303) $false % 33.30/9.26 | % 33.30/9.26 |-The branch is then unsatisfiable % 33.30/9.26 |-Branch two: % 33.30/9.26 | (345) ~ (all_0_56_56 = e4) % 33.30/9.26 | (2325) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (2325), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (583) all_0_56_56 = e1 % 33.30/9.26 | % 33.30/9.26 | Equations (583) can reduce 172 to: % 33.30/9.26 | (11300) ~ (all_0_57_57 = e1) % 33.30/9.26 | % 33.30/9.26 | Simplifying 11300 yields: % 33.30/9.26 | (592) ~ (all_0_57_57 = e1) % 33.30/9.26 | % 33.30/9.26 | Equations (583) can reduce 42 to: % 33.30/9.26 | (3274) ~ (all_0_59_59 = e1) % 33.30/9.26 | % 33.30/9.26 | Simplifying 3274 yields: % 33.30/9.26 | (603) ~ (all_0_59_59 = e1) % 33.30/9.26 | % 33.30/9.26 | Equations (583) can reduce 174 to: % 33.30/9.26 | (1050) ~ (all_0_60_60 = e1) % 33.30/9.26 | % 33.30/9.26 | Simplifying 1050 yields: % 33.30/9.26 | (501) ~ (all_0_60_60 = e1) % 33.30/9.26 | % 33.30/9.26 | From (583) and (185) follows: % 33.30/9.26 | (3485) op(e1, e4) = all_0_32_32 % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (250), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (897) all_0_57_57 = e2 % 33.30/9.26 | % 33.30/9.26 | Equations (897) can reduce 11 to: % 33.30/9.26 | (369) ~ (all_0_41_41 = e2) % 33.30/9.26 | % 33.30/9.26 | Equations (897) can reduce 222 to: % 33.30/9.26 | (259) ~ (all_0_59_59 = e2) % 33.30/9.26 | % 33.30/9.26 | Simplifying 259 yields: % 33.30/9.26 | (260) ~ (all_0_59_59 = e2) % 33.30/9.26 | % 33.30/9.26 | Equations (897) can reduce 81 to: % 33.30/9.26 | (573) ~ (all_0_60_60 = e2) % 33.30/9.26 | % 33.30/9.26 | Simplifying 573 yields: % 33.30/9.26 | (571) ~ (all_0_60_60 = e2) % 33.30/9.26 | % 33.30/9.26 | Equations (897) can reduce 2273 to: % 33.30/9.26 | (51) ~ (e2 = e0) % 33.30/9.26 | % 33.30/9.26 | From (897) and (205) follows: % 33.30/9.26 | (11314) op(e2, e0) = all_0_33_33 % 33.30/9.26 | % 33.30/9.26 | From (897) and (5) follows: % 33.30/9.26 | (2880) op(e0, e3) = e2 % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (180), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (945) all_0_41_41 = e2 % 33.30/9.26 | % 33.30/9.26 | Equations (945) can reduce 369 to: % 33.30/9.26 | (303) $false % 33.30/9.26 | % 33.30/9.26 |-The branch is then unsatisfiable % 33.30/9.26 |-Branch two: % 33.30/9.26 | (369) ~ (all_0_41_41 = e2) % 33.30/9.26 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (1017), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (696) all_0_41_41 = e1 % 33.30/9.26 | % 33.30/9.26 | Equations (696) can reduce 369 to: % 33.30/9.26 | (565) ~ (e2 = e1) % 33.30/9.26 | % 33.30/9.26 | Simplifying 565 yields: % 33.30/9.26 | (144) ~ (e2 = e1) % 33.30/9.26 | % 33.30/9.26 | Equations (696) can reduce 326 to: % 33.30/9.26 | (134) ~ (e1 = e0) % 33.30/9.26 | % 33.30/9.26 | From (696) and (211) follows: % 33.30/9.26 | (6426) op(e1, e4) = all_0_1_1 % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (191), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (965) all_0_43_43 = e2 % 33.30/9.26 | % 33.30/9.26 | Equations (965) can reduce 253 to: % 33.30/9.26 | (303) $false % 33.30/9.26 | % 33.30/9.26 |-The branch is then unsatisfiable % 33.30/9.26 |-Branch two: % 33.30/9.26 | (253) ~ (all_0_43_43 = e2) % 33.30/9.26 | (1634) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e1 % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (157), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (917) all_0_40_40 = e2 % 33.30/9.26 | % 33.30/9.26 | Combining equations (917,2834) yields a new equation: % 33.30/9.26 | (403) e2 = e0 % 33.30/9.26 | % 33.30/9.26 | Simplifying 403 yields: % 33.30/9.26 | (385) e2 = e0 % 33.30/9.26 | % 33.30/9.26 | Equations (385) can reduce 51 to: % 33.30/9.26 | (303) $false % 33.30/9.26 | % 33.30/9.26 |-The branch is then unsatisfiable % 33.30/9.26 |-Branch two: % 33.30/9.26 | (939) ~ (all_0_40_40 = e2) % 33.30/9.26 | (940) all_0_41_41 = e2 | all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (220), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (913) all_0_60_60 = e2 % 33.30/9.26 | % 33.30/9.26 | Equations (913) can reduce 571 to: % 33.30/9.26 | (303) $false % 33.30/9.26 | % 33.30/9.26 |-The branch is then unsatisfiable % 33.30/9.26 |-Branch two: % 33.30/9.26 | (571) ~ (all_0_60_60 = e2) % 33.30/9.26 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (940), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (945) all_0_41_41 = e2 % 33.30/9.26 | % 33.30/9.26 | Combining equations (696,945) yields a new equation: % 33.30/9.26 | (585) e2 = e1 % 33.30/9.26 | % 33.30/9.26 | Equations (585) can reduce 144 to: % 33.30/9.26 | (303) $false % 33.30/9.26 | % 33.30/9.26 |-The branch is then unsatisfiable % 33.30/9.26 |-Branch two: % 33.30/9.26 | (369) ~ (all_0_41_41 = e2) % 33.30/9.26 | (949) all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 33.30/9.26 | % 33.30/9.26 | Equations (696) can reduce 369 to: % 33.30/9.26 | (565) ~ (e2 = e1) % 33.30/9.26 | % 33.30/9.26 | Simplifying 565 yields: % 33.30/9.26 | (144) ~ (e2 = e1) % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (4489), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (344) all_0_58_58 = e4 % 33.30/9.26 | % 33.30/9.26 | Combining equations (989,344) yields a new equation: % 33.30/9.26 | (654) e4 = e0 % 33.30/9.26 | % 33.30/9.26 | Equations (654) can reduce 4 to: % 33.30/9.26 | (303) $false % 33.30/9.26 | % 33.30/9.26 |-The branch is then unsatisfiable % 33.30/9.26 |-Branch two: % 33.30/9.26 | (3161) ~ (all_0_58_58 = e4) % 33.30/9.26 | (4996) all_0_59_59 = e4 | all_0_60_60 = e4 % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (4996), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (717) all_0_59_59 = e4 % 33.30/9.26 | % 33.30/9.26 | Equations (717) can reduce 164 to: % 33.30/9.26 | (349) ~ (all_0_60_60 = e4) % 33.30/9.26 | % 33.30/9.26 | Simplifying 349 yields: % 33.30/9.26 | (350) ~ (all_0_60_60 = e4) % 33.30/9.26 | % 33.30/9.26 | Equations (717) can reduce 260 to: % 33.30/9.26 | (231) ~ (e4 = e2) % 33.30/9.26 | % 33.30/9.26 | Equations (717) can reduce 603 to: % 33.30/9.26 | (247) ~ (e4 = e1) % 33.30/9.26 | % 33.30/9.26 | From (717) and (90) follows: % 33.30/9.26 | (3322) op(e0, e1) = e4 % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (228), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (748) all_0_48_48 = e1 % 33.30/9.26 | % 33.30/9.26 | Combining equations (727,748) yields a new equation: % 33.30/9.26 | (584) e2 = e1 % 33.30/9.26 | % 33.30/9.26 | Simplifying 584 yields: % 33.30/9.26 | (585) e2 = e1 % 33.30/9.26 | % 33.30/9.26 | Equations (585) can reduce 144 to: % 33.30/9.26 | (303) $false % 33.30/9.26 | % 33.30/9.26 |-The branch is then unsatisfiable % 33.30/9.26 |-Branch two: % 33.30/9.26 | (802) ~ (all_0_48_48 = e1) % 33.30/9.26 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (1275), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (1510) all_0_60_60 = e4 % 33.30/9.26 | % 33.30/9.26 | Equations (1510) can reduce 350 to: % 33.30/9.26 | (303) $false % 33.30/9.26 | % 33.30/9.26 |-The branch is then unsatisfiable % 33.30/9.26 |-Branch two: % 33.30/9.26 | (350) ~ (all_0_60_60 = e4) % 33.30/9.26 | (1906) all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (803), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (1580) all_0_49_49 = e1 % 33.30/9.26 | % 33.30/9.26 | Combining equations (384,1580) yields a new equation: % 33.30/9.26 | (590) e1 = e0 % 33.30/9.26 | % 33.30/9.26 | Equations (590) can reduce 134 to: % 33.30/9.26 | (303) $false % 33.30/9.26 | % 33.30/9.26 |-The branch is then unsatisfiable % 33.30/9.26 |-Branch two: % 33.30/9.26 | (506) ~ (all_0_49_49 = e1) % 33.30/9.26 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (1906), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (604) all_0_60_60 = e1 % 33.30/9.26 | % 33.30/9.26 | Equations (604) can reduce 501 to: % 33.30/9.26 | (303) $false % 33.30/9.26 | % 33.30/9.26 |-The branch is then unsatisfiable % 33.30/9.26 |-Branch two: % 33.30/9.26 | (501) ~ (all_0_60_60 = e1) % 33.30/9.26 | (1933) all_0_60_60 = e3 | all_0_60_60 = e0 % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (1585), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (627) all_0_50_50 = e1 % 33.30/9.26 | % 33.30/9.26 | Equations (627) can reduce 207 to: % 33.30/9.26 | (134) ~ (e1 = e0) % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (1933), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (1934) all_0_60_60 = e0 % 33.30/9.26 | % 33.30/9.26 | Equations (1934) can reduce 414 to: % 33.30/9.26 | (303) $false % 33.30/9.26 | % 33.30/9.26 |-The branch is then unsatisfiable % 33.30/9.26 |-Branch two: % 33.30/9.26 | (414) ~ (all_0_60_60 = e0) % 33.30/9.26 | (1937) all_0_60_60 = e3 % 33.30/9.26 | % 33.30/9.26 | Equations (1937) can reduce 165 to: % 33.30/9.26 | (310) ~ (all_0_44_44 = e3) % 33.30/9.26 | % 33.30/9.26 | Equations (1937) can reduce 501 to: % 33.30/9.26 | (136) ~ (e3 = e1) % 33.30/9.26 | % 33.30/9.26 | Equations (1937) can reduce 414 to: % 33.30/9.26 | (70) ~ (e3 = e0) % 33.30/9.26 | % 33.30/9.26 | From (1937) and (170) follows: % 33.30/9.26 | (9088) op(e0, e0) = e3 % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (200), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (1102) all_0_40_40 = e3 % 33.30/9.26 | % 33.30/9.26 | Combining equations (2834,1102) yields a new equation: % 33.30/9.26 | (497) e3 = e0 % 33.30/9.26 | % 33.30/9.26 | Equations (497) can reduce 70 to: % 33.30/9.26 | (303) $false % 33.30/9.26 | % 33.30/9.26 |-The branch is then unsatisfiable % 33.30/9.26 |-Branch two: % 33.30/9.26 | (432) ~ (all_0_40_40 = e3) % 33.30/9.26 | (2138) all_0_41_41 = e3 | all_0_43_43 = e3 | all_0_44_44 = e3 % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (2138), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (431) all_0_41_41 = e3 % 33.30/9.26 | % 33.30/9.26 | Combining equations (696,431) yields a new equation: % 33.30/9.26 | (601) e3 = e1 % 33.30/9.26 | % 33.30/9.26 | Equations (601) can reduce 136 to: % 33.30/9.26 | (303) $false % 33.30/9.26 | % 33.30/9.26 |-The branch is then unsatisfiable % 33.30/9.26 |-Branch two: % 33.30/9.26 | (996) ~ (all_0_41_41 = e3) % 33.30/9.26 | (5989) all_0_43_43 = e3 | all_0_44_44 = e3 % 33.30/9.26 | % 33.30/9.26 +-Applying beta-rule and splitting (5989), into two cases. % 33.30/9.26 |-Branch one: % 33.30/9.26 | (447) all_0_43_43 = e3 % 33.30/9.26 | % 33.30/9.26 | Equations (447) can reduce 253 to: % 33.30/9.26 | (223) ~ (e3 = e2) % 33.30/9.26 | % 33.30/9.26 | From (447) and (99) follows: % 33.30/9.27 | (3298) op(e3, e1) = all_0_6_6 % 33.30/9.27 | % 33.30/9.27 +-Applying beta-rule and splitting (87), into two cases. % 33.30/9.27 |-Branch one: % 33.30/9.27 | (572) all_0_44_44 = e2 % 33.30/9.27 | % 33.30/9.27 | From (572) and (235) follows: % 33.30/9.27 | (11400) op(e2, e4) = all_0_7_7 % 33.30/9.27 | % 33.30/9.27 | From (572) and (128) follows: % 33.30/9.27 | (11401) op(e2, e0) = all_0_8_8 % 33.30/9.27 | % 33.30/9.27 | Instantiating formula (29) with e4, e4, e0, all_0_24_24 and discharging atoms op(e4, e4) = all_0_24_24, op(e4, e4) = e0, yields: % 33.30/9.27 | (3590) all_0_24_24 = e0 % 33.30/9.27 | % 33.30/9.27 | Instantiating formula (29) with e3, e1, all_0_6_6, e2 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = e2, yields: % 33.30/9.27 | (3326) all_0_6_6 = e2 % 33.30/9.27 | % 33.30/9.27 | Instantiating formula (29) with e3, e1, all_0_25_25, all_0_6_6 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = all_0_25_25, yields: % 33.30/9.27 | (6038) all_0_6_6 = all_0_25_25 % 33.30/9.27 | % 33.30/9.27 | Instantiating formula (29) with e2, e4, all_0_16_16, all_0_7_7 and discharging atoms op(e2, e4) = all_0_7_7, op(e2, e4) = all_0_16_16, yields: % 33.30/9.27 | (11405) all_0_7_7 = all_0_16_16 % 33.30/9.27 | % 33.30/9.27 | Instantiating formula (29) with e2, e4, e2, all_0_7_7 and discharging atoms op(e2, e4) = all_0_7_7, op(e2, e4) = e2, yields: % 33.30/9.27 | (5545) all_0_7_7 = e2 % 33.30/9.27 | % 33.30/9.27 | Instantiating formula (29) with e2, e2, all_0_15_15, e3 and discharging atoms op(e2, e2) = all_0_15_15, op(e2, e2) = e3, yields: % 33.30/9.27 | (8454) all_0_15_15 = e3 % 33.30/9.27 | % 33.30/9.27 | Instantiating formula (29) with e2, e0, all_0_33_33, all_0_8_8 and discharging atoms op(e2, e0) = all_0_8_8, op(e2, e0) = all_0_33_33, yields: % 33.30/9.27 | (11408) all_0_8_8 = all_0_33_33 % 33.30/9.27 | % 33.30/9.27 | Instantiating formula (29) with e2, e0, e4, all_0_8_8 and discharging atoms op(e2, e0) = all_0_8_8, op(e2, e0) = e4, yields: % 33.30/9.27 | (3534) all_0_8_8 = e4 % 33.30/9.27 | % 33.30/9.27 | Instantiating formula (29) with e1, e4, all_0_32_32, all_0_1_1 and discharging atoms op(e1, e4) = all_0_1_1, op(e1, e4) = all_0_32_32, yields: % 33.30/9.27 | (11410) all_0_1_1 = all_0_32_32 % 33.30/9.27 | % 33.30/9.27 | Instantiating formula (29) with e1, e4, e4, all_0_1_1 and discharging atoms op(e1, e4) = all_0_1_1, op(e1, e4) = e4, yields: % 33.30/9.27 | (9215) all_0_1_1 = e4 % 33.30/9.27 | % 33.30/9.27 | Instantiating formula (29) with e0, e3, e2, all_0_18_18 and discharging atoms op(e0, e3) = all_0_18_18, op(e0, e3) = e2, yields: % 33.30/9.27 | (3563) all_0_18_18 = e2 % 33.30/9.27 | % 33.30/9.27 | Combining equations (11410,9215) yields a new equation: % 33.30/9.27 | (11413) all_0_32_32 = e4 % 33.30/9.27 | % 33.30/9.27 | Simplifying 11413 yields: % 33.30/9.27 | (10178) all_0_32_32 = e4 % 33.30/9.27 | % 33.30/9.27 | Combining equations (3326,6038) yields a new equation: % 33.30/9.27 | (2621) all_0_25_25 = e2 % 33.30/9.27 | % 33.30/9.27 | Combining equations (5545,11405) yields a new equation: % 33.30/9.27 | (3558) all_0_16_16 = e2 % 33.30/9.27 | % 33.30/9.27 | Combining equations (3534,11408) yields a new equation: % 33.30/9.27 | (11417) all_0_33_33 = e4 % 33.30/9.27 | % 33.30/9.27 | From (3590) and (2564) follows: % 33.30/9.27 | (11199) op(e4, e4) = e0 % 33.30/9.27 | % 33.30/9.27 | From (2621) and (2593) follows: % 33.30/9.27 | (266) op(e3, e1) = e2 % 33.30/9.27 | % 33.30/9.27 | From (3558) and (8209) follows: % 33.30/9.27 | (637) op(e2, e4) = e2 % 33.30/9.27 | % 33.30/9.27 | From (8454) and (8210) follows: % 33.30/9.27 | (83) op(e2, e2) = e3 % 33.30/9.27 | % 33.30/9.27 | From (11417) and (11314) follows: % 33.30/9.27 | (10154) op(e2, e0) = e4 % 33.30/9.27 | % 33.30/9.27 | From (10178) and (3485) follows: % 33.30/9.27 | (649) op(e1, e4) = e4 % 33.30/9.27 | % 33.30/9.27 | From (3563) and (2548) follows: % 33.30/9.27 | (2880) op(e0, e3) = e2 % 33.30/9.27 | % 33.30/9.27 +-Applying beta-rule and splitting (62), into two cases. % 33.30/9.27 |-Branch one: % 33.30/9.27 | (631) unit = e2 % 33.30/9.27 | % 33.30/9.27 | From (631) and (17) follows: % 33.30/9.27 | (613) op(e2, e4) = e4 % 33.30/9.27 | % 33.30/9.27 | From (631) and (189) follows: % 33.30/9.27 | (397) op(e2, e0) = e0 % 33.30/9.27 | % 33.30/9.27 | From (631) and (98) follows: % 33.30/9.27 | (5015) op(e3, e2) = e3 % 33.30/9.27 | % 33.30/9.27 | From (631) and (74) follows: % 33.30/9.27 | (2715) op(e2, e2) = e2 % 33.30/9.27 | % 33.30/9.27 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 33.30/9.27 | (601) e3 = e1 % 33.30/9.27 | % 33.30/9.27 | Instantiating formula (29) with e2, e4, e4, e2 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 33.30/9.27 | (470) e4 = e2 % 33.30/9.27 | % 33.30/9.27 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 33.30/9.27 | (453) e3 = e2 % 33.30/9.27 | % 33.30/9.27 | Instantiating formula (29) with e2, e0, e0, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e0, yields: % 33.30/9.27 | (654) e4 = e0 % 33.30/9.27 | % 33.30/9.27 | Combining equations (654,470) yields a new equation: % 33.30/9.27 | (385) e2 = e0 % 33.30/9.27 | % 33.30/9.27 | Combining equations (453,601) yields a new equation: % 33.30/9.27 | (584) e2 = e1 % 33.30/9.27 | % 33.30/9.27 | Simplifying 584 yields: % 33.30/9.28 | (585) e2 = e1 % 33.30/9.28 | % 33.30/9.28 | Combining equations (385,585) yields a new equation: % 33.30/9.28 | (590) e1 = e0 % 33.30/9.28 | % 33.30/9.28 | Equations (590) can reduce 134 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (599) ~ (unit = e2) % 33.30/9.28 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 33.30/9.28 | % 33.30/9.28 +-Applying beta-rule and splitting (634), into two cases. % 33.30/9.28 |-Branch one: % 33.30/9.28 | (635) unit = e4 % 33.30/9.28 | % 33.30/9.28 | From (635) and (130) follows: % 33.30/9.28 | (1177) op(e4, e4) = e4 % 33.30/9.28 | % 33.30/9.28 | From (635) and (190) follows: % 33.30/9.28 | (1178) op(e1, e4) = e1 % 33.30/9.28 | % 33.30/9.28 | Instantiating formula (29) with e4, e4, e4, e0 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e0, yields: % 33.30/9.28 | (654) e4 = e0 % 33.30/9.28 | % 33.30/9.28 | Instantiating formula (29) with e1, e4, e1, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields: % 33.30/9.28 | (541) e4 = e1 % 33.30/9.28 | % 33.30/9.28 | Combining equations (541,654) yields a new equation: % 33.30/9.28 | (670) e1 = e0 % 33.30/9.28 | % 33.30/9.28 | Simplifying 670 yields: % 33.30/9.28 | (590) e1 = e0 % 33.30/9.28 | % 33.30/9.28 | Equations (590) can reduce 134 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (484) ~ (unit = e4) % 33.30/9.28 | (647) unit = e3 | unit = e1 | unit = e0 % 33.30/9.28 | % 33.30/9.28 +-Applying beta-rule and splitting (647), into two cases. % 33.30/9.28 |-Branch one: % 33.30/9.28 | (648) unit = e1 % 33.30/9.28 | % 33.30/9.28 | Equations (648) can reduce 510 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (510) ~ (unit = e1) % 33.30/9.28 | (659) unit = e3 | unit = e0 % 33.30/9.28 | % 33.30/9.28 +-Applying beta-rule and splitting (659), into two cases. % 33.30/9.28 |-Branch one: % 33.30/9.28 | (660) unit = e0 % 33.30/9.28 | % 33.30/9.28 | Equations (660) can reduce 510 to: % 33.30/9.28 | (661) ~ (e1 = e0) % 33.30/9.28 | % 33.30/9.28 | Simplifying 661 yields: % 33.30/9.28 | (134) ~ (e1 = e0) % 33.30/9.28 | % 33.30/9.28 | From (660) and (232) follows: % 33.30/9.28 | (1196) op(e0, e3) = e3 % 33.30/9.28 | % 33.30/9.28 | From (660) and (38) follows: % 33.30/9.28 | (2749) op(e0, e1) = e1 % 33.30/9.28 | % 33.30/9.28 | From (660) and (74) follows: % 33.30/9.28 | (664) op(e2, e0) = e2 % 33.30/9.28 | % 33.30/9.28 | From (660) and (111) follows: % 33.30/9.28 | (3633) op(e0, e0) = e0 % 33.30/9.28 | % 33.30/9.28 | Instantiating formula (29) with e2, e0, e2, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e2, yields: % 33.30/9.28 | (470) e4 = e2 % 33.30/9.28 | % 33.30/9.28 | Instantiating formula (29) with e0, e3, e3, e2 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e2, yields: % 33.30/9.28 | (453) e3 = e2 % 33.30/9.28 | % 33.30/9.28 | Instantiating formula (29) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields: % 33.30/9.28 | (541) e4 = e1 % 33.30/9.28 | % 33.30/9.28 | Instantiating formula (29) with e0, e0, e0, e3 and discharging atoms op(e0, e0) = e3, op(e0, e0) = e0, yields: % 33.30/9.28 | (497) e3 = e0 % 33.30/9.28 | % 33.30/9.28 | Combining equations (541,470) yields a new equation: % 33.30/9.28 | (585) e2 = e1 % 33.30/9.28 | % 33.30/9.28 | Combining equations (497,453) yields a new equation: % 33.30/9.28 | (385) e2 = e0 % 33.30/9.28 | % 33.30/9.28 | Combining equations (385,585) yields a new equation: % 33.30/9.28 | (590) e1 = e0 % 33.30/9.28 | % 33.30/9.28 | Equations (590) can reduce 134 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (537) ~ (unit = e0) % 33.30/9.28 | (674) unit = e3 % 33.30/9.28 | % 33.30/9.28 | From (674) and (38) follows: % 33.30/9.28 | (675) op(e3, e1) = e1 % 33.30/9.28 | % 33.30/9.28 | From (674) and (111) follows: % 33.30/9.28 | (420) op(e0, e3) = e0 % 33.30/9.28 | % 33.30/9.28 | Instantiating formula (29) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 33.30/9.28 | (585) e2 = e1 % 33.30/9.28 | % 33.30/9.28 | Instantiating formula (29) with e0, e3, e0, e2 and discharging atoms op(e0, e3) = e2, op(e0, e3) = e0, yields: % 33.30/9.28 | (385) e2 = e0 % 33.30/9.28 | % 33.30/9.28 | Combining equations (385,585) yields a new equation: % 33.30/9.28 | (590) e1 = e0 % 33.30/9.28 | % 33.30/9.28 | Equations (590) can reduce 134 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (915) ~ (all_0_44_44 = e2) % 33.30/9.28 | (2069) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 33.30/9.28 | % 33.30/9.28 +-Applying beta-rule and splitting (949), into two cases. % 33.30/9.28 |-Branch one: % 33.30/9.28 | (959) all_0_42_42 = e2 % 33.30/9.28 | % 33.30/9.28 | Combining equations (3175,959) yields a new equation: % 33.30/9.28 | (878) e4 = e2 % 33.30/9.28 | % 33.30/9.28 | Simplifying 878 yields: % 33.30/9.28 | (470) e4 = e2 % 33.30/9.28 | % 33.30/9.28 | Equations (470) can reduce 231 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (272) ~ (all_0_42_42 = e2) % 33.30/9.28 | (964) all_0_43_43 = e2 | all_0_44_44 = e2 % 33.30/9.28 | % 33.30/9.28 +-Applying beta-rule and splitting (964), into two cases. % 33.30/9.28 |-Branch one: % 33.30/9.28 | (965) all_0_43_43 = e2 % 33.30/9.28 | % 33.30/9.28 | Combining equations (447,965) yields a new equation: % 33.30/9.28 | (452) e3 = e2 % 33.30/9.28 | % 33.30/9.28 | Simplifying 452 yields: % 33.30/9.28 | (453) e3 = e2 % 33.30/9.28 | % 33.30/9.28 | Equations (453) can reduce 223 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (253) ~ (all_0_43_43 = e2) % 33.30/9.28 | (572) all_0_44_44 = e2 % 33.30/9.28 | % 33.30/9.28 | Equations (572) can reduce 915 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (434) ~ (all_0_43_43 = e3) % 33.30/9.28 | (2081) all_0_44_44 = e3 % 33.30/9.28 | % 33.30/9.28 | Equations (2081) can reduce 310 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (678) ~ (all_0_50_50 = e1) % 33.30/9.28 | (1590) all_0_51_51 = e1 % 33.30/9.28 | % 33.30/9.28 | Combining equations (1501,1590) yields a new equation: % 33.30/9.28 | (540) e4 = e1 % 33.30/9.28 | % 33.30/9.28 | Simplifying 540 yields: % 33.30/9.28 | (541) e4 = e1 % 33.30/9.28 | % 33.30/9.28 | Equations (541) can reduce 247 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (348) ~ (all_0_59_59 = e4) % 33.30/9.28 | (1510) all_0_60_60 = e4 % 33.30/9.28 | % 33.30/9.28 | Equations (1510) can reduce 350 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (699) ~ (all_0_41_41 = e1) % 33.30/9.28 | (2158) all_0_41_41 = e3 | all_0_41_41 = e0 % 33.30/9.28 | % 33.30/9.28 +-Applying beta-rule and splitting (2158), into two cases. % 33.30/9.28 |-Branch one: % 33.30/9.28 | (398) all_0_41_41 = e0 % 33.30/9.28 | % 33.30/9.28 | Equations (398) can reduce 326 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (326) ~ (all_0_41_41 = e0) % 33.30/9.28 | (431) all_0_41_41 = e3 % 33.30/9.28 | % 33.30/9.28 | Equations (431) can reduce 996 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (377) ~ (all_0_57_57 = e2) % 33.30/9.28 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 33.30/9.28 | % 33.30/9.28 +-Applying beta-rule and splitting (2652), into two cases. % 33.30/9.28 |-Branch one: % 33.30/9.28 | (589) all_0_57_57 = e1 % 33.30/9.28 | % 33.30/9.28 | Equations (589) can reduce 592 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (592) ~ (all_0_57_57 = e1) % 33.30/9.28 | (3062) all_0_57_57 = e3 | all_0_57_57 = e0 % 33.30/9.28 | % 33.30/9.28 +-Applying beta-rule and splitting (3062), into two cases. % 33.30/9.28 |-Branch one: % 33.30/9.28 | (407) all_0_57_57 = e0 % 33.30/9.28 | % 33.30/9.28 | Equations (407) can reduce 2273 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (2273) ~ (all_0_57_57 = e0) % 33.30/9.28 | (1001) all_0_57_57 = e3 % 33.30/9.28 | % 33.30/9.28 | Equations (1001) can reduce 2590 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (587) ~ (all_0_56_56 = e1) % 33.30/9.28 | (2329) all_0_56_56 = e3 | all_0_56_56 = e0 % 33.30/9.28 | % 33.30/9.28 +-Applying beta-rule and splitting (2329), into two cases. % 33.30/9.28 |-Branch one: % 33.30/9.28 | (2307) all_0_56_56 = e0 % 33.30/9.28 | % 33.30/9.28 | Equations (2307) can reduce 296 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (296) ~ (all_0_56_56 = e0) % 33.30/9.28 | (1111) all_0_56_56 = e3 % 33.30/9.28 | % 33.30/9.28 | Equations (1111) can reduce 526 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (1504) ~ (all_0_51_51 = e4) % 33.30/9.28 | (6452) all_0_51_51 = e1 | all_0_51_51 = e0 % 33.30/9.28 | % 33.30/9.28 +-Applying beta-rule and splitting (6452), into two cases. % 33.30/9.28 |-Branch one: % 33.30/9.28 | (1590) all_0_51_51 = e1 % 33.30/9.28 | % 33.30/9.28 | Equations (1590) can reduce 500 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (500) ~ (all_0_51_51 = e1) % 33.30/9.28 | (388) all_0_51_51 = e0 % 33.30/9.28 | % 33.30/9.28 | Equations (388) can reduce 2347 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (428) ~ (all_0_53_53 = e3) % 33.30/9.28 | (2165) all_0_55_55 = e3 % 33.30/9.28 | % 33.30/9.28 | Combining equations (530,2165) yields a new equation: % 33.30/9.28 | (601) e3 = e1 % 33.30/9.28 | % 33.30/9.28 | Equations (601) can reduce 136 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (445) ~ (all_0_52_52 = e4) % 33.30/9.28 | (446) all_0_54_54 = e4 | all_0_55_55 = e4 % 33.30/9.28 | % 33.30/9.28 +-Applying beta-rule and splitting (446), into two cases. % 33.30/9.28 |-Branch one: % 33.30/9.28 | (469) all_0_54_54 = e4 % 33.30/9.28 | % 33.30/9.28 | Combining equations (469,271) yields a new equation: % 33.30/9.28 | (878) e4 = e2 % 33.30/9.28 | % 33.30/9.28 | Simplifying 878 yields: % 33.30/9.28 | (470) e4 = e2 % 33.30/9.28 | % 33.30/9.28 | Equations (470) can reduce 231 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (472) ~ (all_0_54_54 = e4) % 33.30/9.28 | (473) all_0_55_55 = e4 % 33.30/9.28 | % 33.30/9.28 | Combining equations (473,530) yields a new equation: % 33.30/9.28 | (540) e4 = e1 % 33.30/9.28 | % 33.30/9.28 | Simplifying 540 yields: % 33.30/9.28 | (541) e4 = e1 % 33.30/9.28 | % 33.30/9.28 | Equations (541) can reduce 247 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (464) ~ (all_0_55_55 = e1) % 33.30/9.28 | (604) all_0_60_60 = e1 % 33.30/9.28 | % 33.30/9.28 | Equations (604) can reduce 501 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 33.30/9.28 | % 33.30/9.28 | Applying alpha-rule on (514) yields: % 33.30/9.28 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 33.30/9.28 | (516) ~ (all_0_47_47 = e3) % 33.30/9.28 | (314) ~ (all_0_55_55 = e3) % 33.30/9.28 | (368) all_0_49_49 = e2 % 33.30/9.28 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 33.30/9.28 | (520) ~ (unit = e3) % 33.30/9.28 | (521) ~ (all_0_52_52 = e3) % 33.30/9.28 | (455) ~ (all_0_46_46 = e3) % 33.30/9.28 | (432) ~ (all_0_40_40 = e3) % 33.30/9.28 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 33.30/9.28 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 33.30/9.28 | (526) ~ (all_0_56_56 = e3) % 33.30/9.28 | % 33.30/9.28 | Combining equations (384,368) yields a new equation: % 33.30/9.28 | (385) e2 = e0 % 33.30/9.28 | % 33.30/9.28 | Equations (385) can reduce 51 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 33.30/9.28 | % 33.30/9.28 | Applying alpha-rule on (528) yields: % 33.30/9.28 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 33.30/9.28 | (530) all_0_55_55 = e1 % 33.30/9.28 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 33.30/9.28 | (387) ~ (all_0_49_49 = e0) % 33.30/9.28 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 33.30/9.28 | (534) ~ (all_0_45_45 = e0) % 33.30/9.28 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 33.30/9.28 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 33.30/9.28 | (537) ~ (unit = e0) % 33.30/9.28 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 33.30/9.28 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 33.30/9.28 | % 33.30/9.28 | Equations (384) can reduce 387 to: % 33.30/9.28 | (303) $false % 33.30/9.28 | % 33.30/9.28 |-The branch is then unsatisfiable % 33.30/9.28 |-Branch two: % 33.30/9.28 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 33.30/9.28 | % 33.30/9.28 | Applying alpha-rule on (543) yields: % 33.30/9.28 | (544) ~ (all_0_48_48 = e2) % 33.30/9.28 | (369) ~ (all_0_41_41 = e2) % 33.30/9.28 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 33.30/9.28 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 33.30/9.28 | (253) ~ (all_0_43_43 = e2) % 33.30/9.28 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 33.30/9.28 | (276) ~ (all_0_55_55 = e2) % 33.30/9.28 | (260) ~ (all_0_59_59 = e2) % 33.30/9.28 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 33.30/9.28 | (274) ~ (all_0_53_53 = e2) % 33.30/9.28 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 33.30/9.28 | (373) ~ (all_0_51_51 = e2) % 33.30/9.28 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 33.30/9.28 | (256) ~ (all_0_47_47 = e2) % 33.30/9.28 | (377) ~ (all_0_57_57 = e2) % 33.30/9.28 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 33.30/9.28 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 33.30/9.28 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 33.30/9.29 | (258) ~ (all_0_50_50 = e2) % 33.30/9.29 | (254) ~ (all_0_45_45 = e2) % 33.30/9.29 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 33.30/9.29 | % 33.30/9.29 | Equations (727) can reduce 544 to: % 33.30/9.29 | (303) $false % 33.30/9.29 | % 33.30/9.29 |-The branch is then unsatisfiable % 33.30/9.29 |-Branch two: % 33.30/9.29 | (387) ~ (all_0_49_49 = e0) % 33.30/9.29 | (407) all_0_57_57 = e0 % 33.30/9.29 | % 33.30/9.29 | Equations (407) can reduce 2273 to: % 33.30/9.29 | (303) $false % 33.30/9.29 | % 33.30/9.29 |-The branch is then unsatisfiable % 33.30/9.29 |-Branch two: % 33.30/9.29 | (288) ~ (all_0_40_40 = e0) % 33.30/9.29 | (6377) all_0_45_45 = e0 | all_0_48_48 = e0 | all_0_56_56 = e0 % 33.30/9.29 | % 33.30/9.29 +-Applying beta-rule and splitting (383), into two cases. % 33.30/9.29 |-Branch one: % 33.30/9.29 | (384) all_0_49_49 = e0 % 33.30/9.29 | % 33.30/9.29 | Equations (384) can reduce 218 to: % 33.30/9.29 | (333) ~ (e3 = e0) % 33.30/9.29 | % 33.30/9.29 | Simplifying 333 yields: % 33.30/9.29 | (70) ~ (e3 = e0) % 33.30/9.29 | % 33.30/9.29 | Equations (384) can reduce 2167 to: % 33.30/9.29 | (335) ~ (e2 = e0) % 33.30/9.29 | % 33.30/9.29 | Simplifying 335 yields: % 33.30/9.29 | (51) ~ (e2 = e0) % 33.30/9.29 | % 33.30/9.29 +-Applying beta-rule and splitting (6377), into two cases. % 33.30/9.29 |-Branch one: % 33.30/9.29 | (287) all_0_45_45 = e0 % 33.30/9.29 | % 33.30/9.29 | Combining equations (493,287) yields a new equation: % 33.30/9.29 | (496) e3 = e0 % 33.30/9.29 | % 33.30/9.29 | Simplifying 496 yields: % 33.30/9.29 | (497) e3 = e0 % 33.30/9.29 | % 33.30/9.29 | Equations (497) can reduce 70 to: % 33.30/9.29 | (303) $false % 33.30/9.29 | % 33.30/9.29 |-The branch is then unsatisfiable % 33.30/9.29 |-Branch two: % 33.30/9.29 | (534) ~ (all_0_45_45 = e0) % 33.30/9.29 | (6383) all_0_48_48 = e0 | all_0_56_56 = e0 % 33.30/9.29 | % 33.30/9.29 +-Applying beta-rule and splitting (6383), into two cases. % 33.30/9.29 |-Branch one: % 33.30/9.29 | (380) all_0_48_48 = e0 % 33.30/9.29 | % 33.30/9.29 | Combining equations (727,380) yields a new equation: % 33.30/9.29 | (403) e2 = e0 % 33.30/9.29 | % 33.30/9.29 | Simplifying 403 yields: % 33.30/9.29 | (385) e2 = e0 % 33.30/9.29 | % 33.30/9.29 | Equations (385) can reduce 51 to: % 33.30/9.29 | (303) $false % 33.30/9.29 | % 33.30/9.29 |-The branch is then unsatisfiable % 33.30/9.29 |-Branch two: % 33.30/9.29 | (292) ~ (all_0_48_48 = e0) % 33.30/9.29 | (2307) all_0_56_56 = e0 % 33.30/9.29 | % 33.30/9.29 | Equations (2307) can reduce 296 to: % 33.30/9.29 | (303) $false % 33.30/9.29 | % 33.30/9.29 |-The branch is then unsatisfiable % 33.30/9.29 |-Branch two: % 33.30/9.29 | (387) ~ (all_0_49_49 = e0) % 33.30/9.29 | (388) all_0_51_51 = e0 % 33.30/9.29 | % 33.30/9.29 | Equations (388) can reduce 2347 to: % 33.30/9.29 | (303) $false % 33.30/9.29 | % 33.30/9.29 |-The branch is then unsatisfiable % 33.30/9.29 |-Branch two: % 33.30/9.29 | (544) ~ (all_0_48_48 = e2) % 33.30/9.29 | (2476) all_0_49_49 = e2 | all_0_50_50 = e2 | all_0_51_51 = e2 % 33.30/9.29 | % 33.30/9.29 +-Applying beta-rule and splitting (2476), into two cases. % 33.30/9.29 |-Branch one: % 33.30/9.29 | (368) all_0_49_49 = e2 % 33.30/9.29 | % 33.30/9.29 | Equations (368) can reduce 2167 to: % 33.30/9.29 | (303) $false % 33.30/9.29 | % 33.30/9.29 |-The branch is then unsatisfiable % 33.30/9.29 |-Branch two: % 33.30/9.29 | (2167) ~ (all_0_49_49 = e2) % 33.30/9.29 | (2480) all_0_50_50 = e2 | all_0_51_51 = e2 % 33.30/9.29 | % 33.30/9.29 +-Applying beta-rule and splitting (2480), into two cases. % 33.30/9.29 |-Branch one: % 33.30/9.29 | (364) all_0_50_50 = e2 % 33.30/9.29 | % 33.30/9.29 | Equations (364) can reduce 258 to: % 33.30/9.29 | (303) $false % 33.30/9.29 | % 33.30/9.29 |-The branch is then unsatisfiable % 33.30/9.29 |-Branch two: % 33.30/9.29 | (258) ~ (all_0_50_50 = e2) % 33.30/9.29 | (927) all_0_51_51 = e2 % 33.30/9.29 | % 33.30/9.29 | Equations (927) can reduce 161 to: % 33.30/9.29 | (915) ~ (all_0_44_44 = e2) % 33.30/9.29 | % 33.30/9.29 | Equations (927) can reduce 160 to: % 33.30/9.29 | (2167) ~ (all_0_49_49 = e2) % 33.30/9.29 | % 33.30/9.29 | Equations (927) can reduce 171 to: % 33.30/9.29 | (258) ~ (all_0_50_50 = e2) % 33.30/9.29 | % 33.30/9.29 | Equations (927) can reduce 95 to: % 33.30/9.29 | (573) ~ (all_0_60_60 = e2) % 33.30/9.29 | % 33.30/9.29 | Simplifying 573 yields: % 33.30/9.29 | (571) ~ (all_0_60_60 = e2) % 33.30/9.29 | % 33.30/9.29 | From (927) and (122) follows: % 33.30/9.29 | (2490) op(e2, e2) = all_0_21_21 % 33.30/9.29 | % 33.30/9.29 | Instantiating formula (29) with e2, e2, all_0_21_21, e3 and discharging atoms op(e2, e2) = all_0_21_21, op(e2, e2) = e3, yields: % 33.30/9.29 | (2622) all_0_21_21 = e3 % 33.30/9.29 | % 33.30/9.29 | From (2622) and (2490) follows: % 33.30/9.29 | (83) op(e2, e2) = e3 % 33.30/9.29 | % 33.30/9.29 +-Applying beta-rule and splitting (104), into two cases. % 33.30/9.29 |-Branch one: % 33.30/9.29 | (945) all_0_41_41 = e2 % 33.30/9.29 | % 33.30/9.29 | Equations (945) can reduce 43 to: % 33.30/9.29 | (2639) ~ (all_0_43_43 = e2) % 33.30/9.29 | % 33.30/9.29 | Simplifying 2639 yields: % 33.30/9.29 | (253) ~ (all_0_43_43 = e2) % 33.30/9.29 | % 33.30/9.29 | Equations (945) can reduce 176 to: % 33.30/9.29 | (4230) ~ (all_0_44_44 = e2) % 33.30/9.29 | % 33.30/9.29 | Simplifying 4230 yields: % 33.30/9.29 | (915) ~ (all_0_44_44 = e2) % 33.30/9.29 | % 33.30/9.29 | Equations (945) can reduce 177 to: % 33.30/9.29 | (2170) ~ (all_0_49_49 = e2) % 33.30/9.29 | % 33.30/9.29 | Simplifying 2170 yields: % 33.30/9.29 | (2167) ~ (all_0_49_49 = e2) % 33.30/9.29 | % 33.30/9.29 | Equations (945) can reduce 192 to: % 33.30/9.29 | (261) ~ (e4 = e2) % 33.30/9.29 | % 33.30/9.29 | Simplifying 261 yields: % 33.30/9.29 | (231) ~ (e4 = e2) % 33.30/9.29 | % 33.30/9.29 | From (945) and (167) follows: % 33.30/9.29 | (2648) op(e4, e3) = e2 % 33.30/9.29 | % 33.30/9.29 +-Applying beta-rule and splitting (56), into two cases. % 33.30/9.29 |-Branch one: % 33.30/9.29 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 33.30/9.29 | % 33.30/9.29 +-Applying beta-rule and splitting (480), into two cases. % 33.30/9.29 |-Branch one: % 33.30/9.29 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 33.30/9.29 | % 33.30/9.29 +-Applying beta-rule and splitting (481), into two cases. % 33.30/9.29 |-Branch one: % 33.30/9.29 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 33.30/9.29 | % 33.30/9.29 +-Applying beta-rule and splitting (482), into two cases. % 33.30/9.29 |-Branch one: % 33.30/9.29 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 33.30/9.29 | % 33.30/9.29 | Applying alpha-rule on (483) yields: % 33.30/9.29 | (484) ~ (unit = e4) % 33.30/9.29 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 33.30/9.29 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 33.30/9.29 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 33.30/9.29 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 33.30/9.29 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 33.30/9.29 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 33.30/9.29 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 33.30/9.29 | (492) ~ (all_0_55_55 = e4) % 33.30/9.29 | (493) all_0_45_45 = e3 % 33.30/9.29 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 33.30/9.29 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 33.30/9.29 | % 33.30/9.29 +-Applying beta-rule and splitting (241), into two cases. % 33.30/9.29 |-Branch one: % 33.30/9.29 | (1096) all_0_44_44 = e4 % 33.30/9.29 | % 33.30/9.29 | Equations (1096) can reduce 474 to: % 33.30/9.29 | (303) $false % 33.30/9.29 | % 33.30/9.29 |-The branch is then unsatisfiable % 33.30/9.29 |-Branch two: % 33.30/9.29 | (474) ~ (all_0_44_44 = e4) % 33.30/9.29 | (1500) all_0_51_51 = e4 | all_0_55_55 = e4 | all_0_60_60 = e4 % 33.30/9.29 | % 33.30/9.29 +-Applying beta-rule and splitting (1500), into two cases. % 33.30/9.29 |-Branch one: % 33.30/9.29 | (1501) all_0_51_51 = e4 % 33.30/9.29 | % 33.30/9.29 | Combining equations (927,1501) yields a new equation: % 33.30/9.29 | (470) e4 = e2 % 33.30/9.29 | % 33.30/9.29 | Equations (470) can reduce 231 to: % 33.30/9.29 | (303) $false % 33.30/9.29 | % 33.30/9.29 |-The branch is then unsatisfiable % 33.30/9.29 |-Branch two: % 33.30/9.29 | (1504) ~ (all_0_51_51 = e4) % 33.30/9.29 | (1505) all_0_55_55 = e4 | all_0_60_60 = e4 % 33.30/9.29 | % 33.30/9.29 +-Applying beta-rule and splitting (1505), into two cases. % 33.30/9.29 |-Branch one: % 33.30/9.29 | (473) all_0_55_55 = e4 % 33.30/9.29 | % 33.30/9.29 | Equations (473) can reduce 492 to: % 33.30/9.29 | (303) $false % 33.30/9.29 | % 33.30/9.29 |-The branch is then unsatisfiable % 33.30/9.29 |-Branch two: % 33.30/9.29 | (492) ~ (all_0_55_55 = e4) % 33.30/9.29 | (1510) all_0_60_60 = e4 % 33.30/9.29 | % 33.30/9.29 +-Applying beta-rule and splitting (487), into two cases. % 33.30/9.29 |-Branch one: % 33.30/9.29 | (350) ~ (all_0_60_60 = e4) % 33.30/9.29 | % 33.30/9.29 | Equations (1510) can reduce 350 to: % 33.30/9.29 | (303) $false % 33.30/9.29 | % 33.30/9.29 |-The branch is then unsatisfiable % 33.30/9.29 |-Branch two: % 33.30/9.29 | (1510) all_0_60_60 = e4 % 33.30/9.29 | (2307) all_0_56_56 = e0 % 33.30/9.29 | % 33.30/9.29 | Equations (2307) can reduce 296 to: % 33.30/9.29 | (303) $false % 33.30/9.29 | % 33.30/9.29 |-The branch is then unsatisfiable % 33.30/9.29 |-Branch two: % 33.30/9.29 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 33.30/9.29 | % 33.30/9.29 | Applying alpha-rule on (499) yields: % 33.30/9.29 | (500) ~ (all_0_51_51 = e1) % 33.30/9.29 | (501) ~ (all_0_60_60 = e1) % 33.30/9.29 | (502) ~ (all_0_52_52 = e1) % 33.30/9.29 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 33.30/9.29 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 33.30/9.29 | (252) all_0_46_46 = e2 % 33.30/9.29 | (506) ~ (all_0_49_49 = e1) % 33.30/9.29 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 33.30/9.29 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 33.30/9.29 | (509) ~ (all_0_53_53 = e1) % 33.30/9.29 | (510) ~ (unit = e1) % 33.30/9.29 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 33.30/9.29 | (512) ~ (all_0_44_44 = e1) % 33.30/9.29 | % 33.30/9.29 | Equations (927) can reduce 500 to: % 33.30/9.29 | (144) ~ (e2 = e1) % 33.30/9.29 | % 33.30/9.29 +-Applying beta-rule and splitting (24), into two cases. % 33.30/9.29 |-Branch one: % 33.30/9.29 | (980) all_0_52_52 = e2 % 33.30/9.29 | % 33.30/9.29 | Equations (980) can reduce 273 to: % 33.30/9.29 | (303) $false % 33.30/9.29 | % 33.30/9.29 |-The branch is then unsatisfiable % 33.30/9.29 |-Branch two: % 33.30/9.29 | (273) ~ (all_0_52_52 = e2) % 33.30/9.29 | (1772) all_0_52_52 = e4 | all_0_52_52 = e3 | all_0_52_52 = e1 % 33.30/9.29 | % 33.30/9.29 +-Applying beta-rule and splitting (1772), into two cases. % 33.30/9.29 |-Branch one: % 33.30/9.29 | (442) all_0_52_52 = e4 % 33.30/9.29 | % 33.30/9.29 | Equations (442) can reduce 108 to: % 33.30/9.29 | (721) ~ (all_0_48_48 = e4) % 33.30/9.29 | % 33.30/9.29 | Equations (442) can reduce 169 to: % 33.30/9.29 | (6955) ~ (all_0_55_55 = e4) % 33.30/9.29 | % 33.30/9.29 | Simplifying 6955 yields: % 33.30/9.29 | (492) ~ (all_0_55_55 = e4) % 33.30/9.29 | % 33.30/9.29 | Equations (442) can reduce 149 to: % 33.30/9.29 | (2280) ~ (all_0_56_56 = e4) % 33.30/9.29 | % 33.30/9.29 | Simplifying 2280 yields: % 33.30/9.29 | (345) ~ (all_0_56_56 = e4) % 33.30/9.29 | % 33.30/9.29 | From (442) and (152) follows: % 33.30/9.29 | (649) op(e1, e4) = e4 % 33.30/9.29 | % 33.30/9.29 +-Applying beta-rule and splitting (508), into two cases. % 33.30/9.29 |-Branch one: % 33.30/9.29 | (683) ~ (all_0_40_40 = e1) % 33.30/9.29 | % 33.30/9.29 +-Applying beta-rule and splitting (44), into two cases. % 33.30/9.29 |-Branch one: % 33.30/9.29 | (624) all_0_40_40 = e1 % 33.30/9.29 | % 33.30/9.29 | Equations (624) can reduce 683 to: % 33.30/9.29 | (303) $false % 33.30/9.29 | % 33.30/9.29 |-The branch is then unsatisfiable % 33.30/9.29 |-Branch two: % 33.30/9.29 | (683) ~ (all_0_40_40 = e1) % 33.30/9.29 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 33.30/9.29 | % 33.30/9.29 +-Applying beta-rule and splitting (688), into two cases. % 33.30/9.29 |-Branch one: % 33.30/9.29 | (696) all_0_41_41 = e1 % 33.30/9.29 | % 33.30/9.29 | Combining equations (696,945) yields a new equation: % 33.30/9.29 | (585) e2 = e1 % 33.30/9.29 | % 33.30/9.29 | Equations (585) can reduce 144 to: % 33.30/9.29 | (303) $false % 33.30/9.29 | % 33.30/9.29 |-The branch is then unsatisfiable % 33.30/9.29 |-Branch two: % 33.30/9.29 | (699) ~ (all_0_41_41 = e1) % 33.30/9.29 | (700) all_0_43_43 = e1 | all_0_44_44 = e1 % 33.30/9.29 | % 33.30/9.29 +-Applying beta-rule and splitting (700), into two cases. % 33.30/9.29 |-Branch one: % 33.30/9.29 | (618) all_0_43_43 = e1 % 33.30/9.29 | % 33.30/9.29 | Equations (618) can reduce 82 to: % 33.30/9.29 | (1022) ~ (all_0_44_44 = e1) % 33.30/9.29 | % 33.30/9.29 | Simplifying 1022 yields: % 33.30/9.29 | (512) ~ (all_0_44_44 = e1) % 33.30/9.29 | % 33.30/9.29 | Equations (618) can reduce 238 to: % 33.30/9.29 | (855) ~ (all_0_50_50 = e1) % 33.30/9.29 | % 33.30/9.29 | Simplifying 855 yields: % 33.30/9.29 | (678) ~ (all_0_50_50 = e1) % 33.30/9.29 | % 33.30/9.29 | Equations (618) can reduce 249 to: % 33.30/9.29 | (3274) ~ (all_0_59_59 = e1) % 33.30/9.29 | % 33.30/9.29 | Simplifying 3274 yields: % 33.30/9.29 | (603) ~ (all_0_59_59 = e1) % 33.30/9.29 | % 33.30/9.29 | Equations (618) can reduce 253 to: % 33.30/9.29 | (565) ~ (e2 = e1) % 33.30/9.29 | % 33.30/9.29 | Simplifying 565 yields: % 33.30/9.29 | (144) ~ (e2 = e1) % 33.30/9.29 | % 33.30/9.29 | Equations (618) can reduce 117 to: % 33.30/9.29 | (134) ~ (e1 = e0) % 33.30/9.29 | % 33.30/9.29 +-Applying beta-rule and splitting (228), into two cases. % 33.30/9.29 |-Branch one: % 33.30/9.29 | (748) all_0_48_48 = e1 % 33.30/9.29 | % 33.30/9.29 | Equations (748) can reduce 53 to: % 33.30/9.29 | (683) ~ (all_0_40_40 = e1) % 33.30/9.29 | % 33.30/9.29 | Equations (748) can reduce 2 to: % 33.30/9.29 | (1799) ~ (all_0_56_56 = e1) % 33.30/9.29 | % 33.30/9.29 | Simplifying 1799 yields: % 33.37/9.29 | (587) ~ (all_0_56_56 = e1) % 33.37/9.29 | % 33.37/9.29 | Equations (748) can reduce 721 to: % 33.37/9.29 | (605) ~ (e4 = e1) % 33.37/9.29 | % 33.37/9.29 | Simplifying 605 yields: % 33.37/9.29 | (247) ~ (e4 = e1) % 33.37/9.29 | % 33.37/9.29 | Equations (748) can reduce 34 to: % 33.37/9.29 | (465) ~ (e3 = e1) % 33.37/9.29 | % 33.37/9.29 | Simplifying 465 yields: % 33.37/9.29 | (136) ~ (e3 = e1) % 33.37/9.29 | % 33.37/9.29 +-Applying beta-rule and splitting (137), into two cases. % 33.37/9.29 |-Branch one: % 33.37/9.29 | (447) all_0_43_43 = e3 % 33.37/9.29 | % 33.37/9.29 | Combining equations (447,618) yields a new equation: % 33.37/9.30 | (680) e3 = e1 % 33.37/9.30 | % 33.37/9.30 | Simplifying 680 yields: % 33.37/9.30 | (601) e3 = e1 % 33.37/9.30 | % 33.37/9.30 | Equations (601) can reduce 136 to: % 33.37/9.30 | (303) $false % 33.37/9.30 | % 33.37/9.30 |-The branch is then unsatisfiable % 33.37/9.30 |-Branch two: % 33.37/9.30 | (434) ~ (all_0_43_43 = e3) % 33.37/9.30 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (141), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (580) all_0_56_56 = e2 % 33.37/9.30 | % 33.37/9.30 | Equations (580) can reduce 57 to: % 33.37/9.30 | (939) ~ (all_0_40_40 = e2) % 33.37/9.30 | % 33.37/9.30 | Equations (580) can reduce 345 to: % 33.37/9.30 | (261) ~ (e4 = e2) % 33.37/9.30 | % 33.37/9.30 | Simplifying 261 yields: % 33.37/9.30 | (231) ~ (e4 = e2) % 33.37/9.30 | % 33.37/9.30 | Equations (580) can reduce 526 to: % 33.37/9.30 | (577) ~ (e3 = e2) % 33.37/9.30 | % 33.37/9.30 | Simplifying 577 yields: % 33.37/9.30 | (223) ~ (e3 = e2) % 33.37/9.30 | % 33.37/9.30 | Equations (580) can reduce 587 to: % 33.37/9.30 | (144) ~ (e2 = e1) % 33.37/9.30 | % 33.37/9.30 | Equations (580) can reduce 296 to: % 33.37/9.30 | (51) ~ (e2 = e0) % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (41), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (2834) all_0_40_40 = e0 % 33.37/9.30 | % 33.37/9.30 | Equations (2834) can reduce 124 to: % 33.37/9.30 | (329) ~ (all_0_44_44 = e0) % 33.37/9.30 | % 33.37/9.30 | Simplifying 329 yields: % 33.37/9.30 | (330) ~ (all_0_44_44 = e0) % 33.37/9.30 | % 33.37/9.30 | Equations (2834) can reduce 939 to: % 33.37/9.30 | (335) ~ (e2 = e0) % 33.37/9.30 | % 33.37/9.30 | Simplifying 335 yields: % 33.37/9.30 | (51) ~ (e2 = e0) % 33.37/9.30 | % 33.37/9.30 | Equations (2834) can reduce 683 to: % 33.37/9.30 | (661) ~ (e1 = e0) % 33.37/9.30 | % 33.37/9.30 | Simplifying 661 yields: % 33.37/9.30 | (134) ~ (e1 = e0) % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (450), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (451) all_0_46_46 = e3 % 33.37/9.30 | % 33.37/9.30 | Combining equations (451,252) yields a new equation: % 33.37/9.30 | (452) e3 = e2 % 33.37/9.30 | % 33.37/9.30 | Simplifying 452 yields: % 33.37/9.30 | (453) e3 = e2 % 33.37/9.30 | % 33.37/9.30 | Equations (453) can reduce 223 to: % 33.37/9.30 | (303) $false % 33.37/9.30 | % 33.37/9.30 |-The branch is then unsatisfiable % 33.37/9.30 |-Branch two: % 33.37/9.30 | (455) ~ (all_0_46_46 = e3) % 33.37/9.30 | (456) all_0_59_59 = e3 % 33.37/9.30 | % 33.37/9.30 | Equations (456) can reduce 603 to: % 33.37/9.30 | (136) ~ (e3 = e1) % 33.37/9.30 | % 33.37/9.30 | From (456) and (90) follows: % 33.37/9.30 | (461) op(e0, e1) = e3 % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (234), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (609) all_0_48_48 = e4 % 33.37/9.30 | % 33.37/9.30 | Combining equations (748,609) yields a new equation: % 33.37/9.30 | (541) e4 = e1 % 33.37/9.30 | % 33.37/9.30 | Equations (541) can reduce 247 to: % 33.37/9.30 | (303) $false % 33.37/9.30 | % 33.37/9.30 |-The branch is then unsatisfiable % 33.37/9.30 |-Branch two: % 33.37/9.30 | (721) ~ (all_0_48_48 = e4) % 33.37/9.30 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (67), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (380) all_0_48_48 = e0 % 33.37/9.30 | % 33.37/9.30 | Combining equations (748,380) yields a new equation: % 33.37/9.30 | (670) e1 = e0 % 33.37/9.30 | % 33.37/9.30 | Simplifying 670 yields: % 33.37/9.30 | (590) e1 = e0 % 33.37/9.30 | % 33.37/9.30 | Equations (590) can reduce 134 to: % 33.37/9.30 | (303) $false % 33.37/9.30 | % 33.37/9.30 |-The branch is then unsatisfiable % 33.37/9.30 |-Branch two: % 33.37/9.30 | (292) ~ (all_0_48_48 = e0) % 33.37/9.30 | (383) all_0_49_49 = e0 | all_0_51_51 = e0 % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (150), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (398) all_0_41_41 = e0 % 33.37/9.30 | % 33.37/9.30 | Combining equations (398,945) yields a new equation: % 33.37/9.30 | (385) e2 = e0 % 33.37/9.30 | % 33.37/9.30 | Equations (385) can reduce 51 to: % 33.37/9.30 | (303) $false % 33.37/9.30 | % 33.37/9.30 |-The branch is then unsatisfiable % 33.37/9.30 |-Branch two: % 33.37/9.30 | (326) ~ (all_0_41_41 = e0) % 33.37/9.30 | (401) all_0_49_49 = e0 | all_0_57_57 = e0 % 33.37/9.30 | % 33.37/9.30 | Equations (945) can reduce 326 to: % 33.37/9.30 | (51) ~ (e2 = e0) % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (383), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (384) all_0_49_49 = e0 % 33.37/9.30 | % 33.37/9.30 | From (384) and (94) follows: % 33.37/9.30 | (2550) op(e2, e3) = e0 % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (722), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (714) all_0_50_50 = e4 % 33.37/9.30 | % 33.37/9.30 | Equations (714) can reduce 258 to: % 33.37/9.30 | (231) ~ (e4 = e2) % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (241), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (1096) all_0_44_44 = e4 % 33.37/9.30 | % 33.37/9.30 | Equations (1096) can reduce 474 to: % 33.37/9.30 | (303) $false % 33.37/9.30 | % 33.37/9.30 |-The branch is then unsatisfiable % 33.37/9.30 |-Branch two: % 33.37/9.30 | (474) ~ (all_0_44_44 = e4) % 33.37/9.30 | (1500) all_0_51_51 = e4 | all_0_55_55 = e4 | all_0_60_60 = e4 % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (245), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (583) all_0_56_56 = e1 % 33.37/9.30 | % 33.37/9.30 | Combining equations (580,583) yields a new equation: % 33.37/9.30 | (584) e2 = e1 % 33.37/9.30 | % 33.37/9.30 | Simplifying 584 yields: % 33.37/9.30 | (585) e2 = e1 % 33.37/9.30 | % 33.37/9.30 | Equations (585) can reduce 144 to: % 33.37/9.30 | (303) $false % 33.37/9.30 | % 33.37/9.30 |-The branch is then unsatisfiable % 33.37/9.30 |-Branch two: % 33.37/9.30 | (587) ~ (all_0_56_56 = e1) % 33.37/9.30 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (1500), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (1501) all_0_51_51 = e4 % 33.37/9.30 | % 33.37/9.30 | Combining equations (1501,927) yields a new equation: % 33.37/9.30 | (878) e4 = e2 % 33.37/9.30 | % 33.37/9.30 | Simplifying 878 yields: % 33.37/9.30 | (470) e4 = e2 % 33.37/9.30 | % 33.37/9.30 | Equations (470) can reduce 231 to: % 33.37/9.30 | (303) $false % 33.37/9.30 | % 33.37/9.30 |-The branch is then unsatisfiable % 33.37/9.30 |-Branch two: % 33.37/9.30 | (1504) ~ (all_0_51_51 = e4) % 33.37/9.30 | (1505) all_0_55_55 = e4 | all_0_60_60 = e4 % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (1505), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (473) all_0_55_55 = e4 % 33.37/9.30 | % 33.37/9.30 | Equations (473) can reduce 492 to: % 33.37/9.30 | (303) $false % 33.37/9.30 | % 33.37/9.30 |-The branch is then unsatisfiable % 33.37/9.30 |-Branch two: % 33.37/9.30 | (492) ~ (all_0_55_55 = e4) % 33.37/9.30 | (1510) all_0_60_60 = e4 % 33.37/9.30 | % 33.37/9.30 | Equations (1510) can reduce 165 to: % 33.37/9.30 | (474) ~ (all_0_44_44 = e4) % 33.37/9.30 | % 33.37/9.30 | Equations (1510) can reduce 81 to: % 33.37/9.30 | (202) ~ (all_0_57_57 = e4) % 33.37/9.30 | % 33.37/9.30 | Equations (1510) can reduce 501 to: % 33.37/9.30 | (247) ~ (e4 = e1) % 33.37/9.30 | % 33.37/9.30 | From (1510) and (170) follows: % 33.37/9.30 | (5006) op(e0, e0) = e4 % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (588), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (589) all_0_57_57 = e1 % 33.37/9.30 | % 33.37/9.30 | Equations (589) can reduce 251 to: % 33.37/9.30 | (509) ~ (all_0_53_53 = e1) % 33.37/9.30 | % 33.37/9.30 | Equations (589) can reduce 202 to: % 33.37/9.30 | (605) ~ (e4 = e1) % 33.37/9.30 | % 33.37/9.30 | Simplifying 605 yields: % 33.37/9.30 | (247) ~ (e4 = e1) % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (85), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (1070) all_0_52_52 = e1 % 33.37/9.30 | % 33.37/9.30 | Combining equations (442,1070) yields a new equation: % 33.37/9.30 | (540) e4 = e1 % 33.37/9.30 | % 33.37/9.30 | Simplifying 540 yields: % 33.37/9.30 | (541) e4 = e1 % 33.37/9.30 | % 33.37/9.30 | Equations (541) can reduce 247 to: % 33.37/9.30 | (303) $false % 33.37/9.30 | % 33.37/9.30 |-The branch is then unsatisfiable % 33.37/9.30 |-Branch two: % 33.37/9.30 | (502) ~ (all_0_52_52 = e1) % 33.37/9.30 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (87), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (572) all_0_44_44 = e2 % 33.37/9.30 | % 33.37/9.30 | Equations (572) can reduce 915 to: % 33.37/9.30 | (303) $false % 33.37/9.30 | % 33.37/9.30 |-The branch is then unsatisfiable % 33.37/9.30 |-Branch two: % 33.37/9.30 | (915) ~ (all_0_44_44 = e2) % 33.37/9.30 | (2069) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (2069), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (1096) all_0_44_44 = e4 % 33.37/9.30 | % 33.37/9.30 | Equations (1096) can reduce 474 to: % 33.37/9.30 | (303) $false % 33.37/9.30 | % 33.37/9.30 |-The branch is then unsatisfiable % 33.37/9.30 |-Branch two: % 33.37/9.30 | (474) ~ (all_0_44_44 = e4) % 33.37/9.30 | (2073) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (2073), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (705) all_0_44_44 = e1 % 33.37/9.30 | % 33.37/9.30 | Equations (705) can reduce 512 to: % 33.37/9.30 | (303) $false % 33.37/9.30 | % 33.37/9.30 |-The branch is then unsatisfiable % 33.37/9.30 |-Branch two: % 33.37/9.30 | (512) ~ (all_0_44_44 = e1) % 33.37/9.30 | (2077) all_0_44_44 = e3 | all_0_44_44 = e0 % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (2077), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (2078) all_0_44_44 = e0 % 33.37/9.30 | % 33.37/9.30 | Equations (2078) can reduce 330 to: % 33.37/9.30 | (303) $false % 33.37/9.30 | % 33.37/9.30 |-The branch is then unsatisfiable % 33.37/9.30 |-Branch two: % 33.37/9.30 | (330) ~ (all_0_44_44 = e0) % 33.37/9.30 | (2081) all_0_44_44 = e3 % 33.37/9.30 | % 33.37/9.30 | Equations (2081) can reduce 59 to: % 33.37/9.30 | (313) ~ (all_0_55_55 = e3) % 33.37/9.30 | % 33.37/9.30 | Simplifying 313 yields: % 33.37/9.30 | (314) ~ (all_0_55_55 = e3) % 33.37/9.30 | % 33.37/9.30 | Equations (2081) can reduce 474 to: % 33.37/9.30 | (439) ~ (e4 = e3) % 33.37/9.30 | % 33.37/9.30 | Simplifying 439 yields: % 33.37/9.30 | (30) ~ (e4 = e3) % 33.37/9.30 | % 33.37/9.30 | From (2081) and (107) follows: % 33.37/9.30 | (8330) op(e4, e0) = e3 % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (64), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (425) all_0_52_52 = e3 % 33.37/9.30 | % 33.37/9.30 | Combining equations (442,425) yields a new equation: % 33.37/9.30 | (718) e4 = e3 % 33.37/9.30 | % 33.37/9.30 | Simplifying 718 yields: % 33.37/9.30 | (443) e4 = e3 % 33.37/9.30 | % 33.37/9.30 | Equations (443) can reduce 30 to: % 33.37/9.30 | (303) $false % 33.37/9.30 | % 33.37/9.30 |-The branch is then unsatisfiable % 33.37/9.30 |-Branch two: % 33.37/9.30 | (521) ~ (all_0_52_52 = e3) % 33.37/9.30 | (1006) all_0_53_53 = e3 | all_0_55_55 = e3 % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (1073), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (462) all_0_53_53 = e1 % 33.37/9.30 | % 33.37/9.30 | Equations (462) can reduce 509 to: % 33.37/9.30 | (303) $false % 33.37/9.30 | % 33.37/9.30 |-The branch is then unsatisfiable % 33.37/9.30 |-Branch two: % 33.37/9.30 | (509) ~ (all_0_53_53 = e1) % 33.37/9.30 | (530) all_0_55_55 = e1 % 33.37/9.30 | % 33.37/9.30 | Equations (530) can reduce 314 to: % 33.37/9.30 | (465) ~ (e3 = e1) % 33.37/9.30 | % 33.37/9.30 | Simplifying 465 yields: % 33.37/9.30 | (136) ~ (e3 = e1) % 33.37/9.30 | % 33.37/9.30 | Equations (530) can reduce 93 to: % 33.37/9.30 | (134) ~ (e1 = e0) % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (1006), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (994) all_0_53_53 = e3 % 33.37/9.30 | % 33.37/9.30 | From (994) and (224) follows: % 33.37/9.30 | (650) op(e1, e3) = e3 % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (62), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (631) unit = e2 % 33.37/9.30 | % 33.37/9.30 | From (631) and (232) follows: % 33.37/9.30 | (2714) op(e2, e3) = e3 % 33.37/9.30 | % 33.37/9.30 | From (631) and (98) follows: % 33.37/9.30 | (5015) op(e3, e2) = e3 % 33.37/9.30 | % 33.37/9.30 | From (631) and (74) follows: % 33.37/9.30 | (2715) op(e2, e2) = e2 % 33.37/9.30 | % 33.37/9.30 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 33.37/9.30 | (601) e3 = e1 % 33.37/9.30 | % 33.37/9.30 | Instantiating formula (29) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields: % 33.37/9.30 | (497) e3 = e0 % 33.37/9.30 | % 33.37/9.30 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 33.37/9.30 | (453) e3 = e2 % 33.37/9.30 | % 33.37/9.30 | Combining equations (601,453) yields a new equation: % 33.37/9.30 | (585) e2 = e1 % 33.37/9.30 | % 33.37/9.30 | Combining equations (497,453) yields a new equation: % 33.37/9.30 | (385) e2 = e0 % 33.37/9.30 | % 33.37/9.30 | Combining equations (385,585) yields a new equation: % 33.37/9.30 | (590) e1 = e0 % 33.37/9.30 | % 33.37/9.30 | Equations (590) can reduce 134 to: % 33.37/9.30 | (303) $false % 33.37/9.30 | % 33.37/9.30 |-The branch is then unsatisfiable % 33.37/9.30 |-Branch two: % 33.37/9.30 | (599) ~ (unit = e2) % 33.37/9.30 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (634), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (635) unit = e4 % 33.37/9.30 | % 33.37/9.30 | From (635) and (232) follows: % 33.37/9.30 | (1844) op(e4, e3) = e3 % 33.37/9.30 | % 33.37/9.30 | From (635) and (147) follows: % 33.37/9.30 | (1176) op(e4, e2) = e2 % 33.37/9.30 | % 33.37/9.30 | From (635) and (189) follows: % 33.37/9.30 | (8484) op(e4, e0) = e0 % 33.37/9.30 | % 33.37/9.30 | From (635) and (190) follows: % 33.37/9.30 | (1178) op(e1, e4) = e1 % 33.37/9.30 | % 33.37/9.30 | Instantiating formula (29) with e4, e3, e3, e2 and discharging atoms op(e4, e3) = e3, op(e4, e3) = e2, yields: % 33.37/9.30 | (453) e3 = e2 % 33.37/9.30 | % 33.37/9.30 | Instantiating formula (29) with e4, e2, e2, e4 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 33.37/9.30 | (470) e4 = e2 % 33.37/9.30 | % 33.37/9.30 | Instantiating formula (29) with e4, e0, e0, e3 and discharging atoms op(e4, e0) = e3, op(e4, e0) = e0, yields: % 33.37/9.30 | (497) e3 = e0 % 33.37/9.30 | % 33.37/9.30 | Instantiating formula (29) with e1, e4, e1, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields: % 33.37/9.30 | (541) e4 = e1 % 33.37/9.30 | % 33.37/9.30 | Combining equations (541,470) yields a new equation: % 33.37/9.30 | (585) e2 = e1 % 33.37/9.30 | % 33.37/9.30 | Combining equations (497,453) yields a new equation: % 33.37/9.30 | (385) e2 = e0 % 33.37/9.30 | % 33.37/9.30 | Combining equations (385,585) yields a new equation: % 33.37/9.30 | (590) e1 = e0 % 33.37/9.30 | % 33.37/9.30 | Equations (590) can reduce 134 to: % 33.37/9.30 | (303) $false % 33.37/9.30 | % 33.37/9.30 |-The branch is then unsatisfiable % 33.37/9.30 |-Branch two: % 33.37/9.30 | (484) ~ (unit = e4) % 33.37/9.30 | (647) unit = e3 | unit = e1 | unit = e0 % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (647), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (648) unit = e1 % 33.37/9.30 | % 33.37/9.30 | Equations (648) can reduce 510 to: % 33.37/9.30 | (303) $false % 33.37/9.30 | % 33.37/9.30 |-The branch is then unsatisfiable % 33.37/9.30 |-Branch two: % 33.37/9.30 | (510) ~ (unit = e1) % 33.37/9.30 | (659) unit = e3 | unit = e0 % 33.37/9.30 | % 33.37/9.30 +-Applying beta-rule and splitting (659), into two cases. % 33.37/9.30 |-Branch one: % 33.37/9.30 | (660) unit = e0 % 33.37/9.30 | % 33.37/9.30 | Equations (660) can reduce 510 to: % 33.37/9.30 | (661) ~ (e1 = e0) % 33.37/9.30 | % 33.37/9.30 | Simplifying 661 yields: % 33.37/9.30 | (134) ~ (e1 = e0) % 33.37/9.30 | % 33.37/9.30 | From (660) and (38) follows: % 33.37/9.30 | (2749) op(e0, e1) = e1 % 33.37/9.30 | % 33.37/9.30 | From (660) and (130) follows: % 33.37/9.30 | (8501) op(e4, e0) = e4 % 33.37/9.30 | % 33.37/9.30 | From (660) and (111) follows: % 33.37/9.30 | (3633) op(e0, e0) = e0 % 33.37/9.30 | % 33.37/9.30 | Instantiating formula (29) with e4, e0, e4, e3 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e3, yields: % 33.37/9.30 | (443) e4 = e3 % 33.37/9.30 | % 33.37/9.30 | Instantiating formula (29) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields: % 33.37/9.30 | (601) e3 = e1 % 33.37/9.30 | % 33.37/9.30 | Instantiating formula (29) with e0, e0, e0, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields: % 33.37/9.30 | (654) e4 = e0 % 33.37/9.30 | % 33.37/9.30 | Combining equations (443,654) yields a new equation: % 33.37/9.30 | (496) e3 = e0 % 33.37/9.30 | % 33.37/9.30 | Simplifying 496 yields: % 33.37/9.30 | (497) e3 = e0 % 33.37/9.30 | % 33.37/9.30 | Combining equations (601,497) yields a new equation: % 33.37/9.30 | (670) e1 = e0 % 33.37/9.30 | % 33.37/9.30 | Simplifying 670 yields: % 33.37/9.30 | (590) e1 = e0 % 33.37/9.30 | % 33.37/9.30 | Equations (590) can reduce 134 to: % 33.37/9.30 | (303) $false % 33.37/9.30 | % 33.37/9.30 |-The branch is then unsatisfiable % 33.37/9.30 |-Branch two: % 33.37/9.30 | (537) ~ (unit = e0) % 33.37/9.30 | (674) unit = e3 % 33.37/9.31 | % 33.37/9.31 | From (674) and (130) follows: % 33.37/9.31 | (2756) op(e4, e3) = e4 % 33.37/9.31 | % 33.37/9.31 | From (674) and (98) follows: % 33.37/9.31 | (1208) op(e3, e3) = e3 % 33.37/9.31 | % 33.37/9.31 | From (674) and (74) follows: % 33.37/9.31 | (8513) op(e2, e3) = e2 % 33.37/9.31 | % 33.37/9.31 | From (674) and (190) follows: % 33.37/9.31 | (468) op(e1, e3) = e1 % 33.37/9.31 | % 33.37/9.31 | Instantiating formula (29) with e4, e3, e4, e2 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e2, yields: % 33.37/9.31 | (470) e4 = e2 % 33.37/9.31 | % 33.37/9.31 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 33.37/9.31 | (443) e4 = e3 % 33.37/9.31 | % 33.37/9.31 | Instantiating formula (29) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields: % 33.37/9.31 | (385) e2 = e0 % 33.37/9.31 | % 33.37/9.31 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 33.37/9.31 | (601) e3 = e1 % 33.37/9.31 | % 33.37/9.31 | Combining equations (470,443) yields a new equation: % 33.37/9.31 | (453) e3 = e2 % 33.37/9.31 | % 33.37/9.31 | Combining equations (453,601) yields a new equation: % 33.37/9.31 | (584) e2 = e1 % 33.37/9.31 | % 33.37/9.31 | Simplifying 584 yields: % 33.37/9.31 | (585) e2 = e1 % 33.37/9.31 | % 33.37/9.31 | Combining equations (385,585) yields a new equation: % 33.37/9.31 | (590) e1 = e0 % 33.37/9.31 | % 33.37/9.31 | Equations (590) can reduce 134 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (428) ~ (all_0_53_53 = e3) % 33.37/9.31 | (2165) all_0_55_55 = e3 % 33.37/9.31 | % 33.37/9.31 | Combining equations (2165,530) yields a new equation: % 33.37/9.31 | (680) e3 = e1 % 33.37/9.31 | % 33.37/9.31 | Simplifying 680 yields: % 33.37/9.31 | (601) e3 = e1 % 33.37/9.31 | % 33.37/9.31 | Equations (601) can reduce 136 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (592) ~ (all_0_57_57 = e1) % 33.37/9.31 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 33.37/9.31 | % 33.37/9.31 +-Applying beta-rule and splitting (593), into two cases. % 33.37/9.31 |-Branch one: % 33.37/9.31 | (600) all_0_59_59 = e1 % 33.37/9.31 | % 33.37/9.31 | Combining equations (456,600) yields a new equation: % 33.37/9.31 | (680) e3 = e1 % 33.37/9.31 | % 33.37/9.31 | Simplifying 680 yields: % 33.37/9.31 | (601) e3 = e1 % 33.37/9.31 | % 33.37/9.31 | Equations (601) can reduce 136 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (603) ~ (all_0_59_59 = e1) % 33.37/9.31 | (604) all_0_60_60 = e1 % 33.37/9.31 | % 33.37/9.31 | Combining equations (604,1510) yields a new equation: % 33.37/9.31 | (541) e4 = e1 % 33.37/9.31 | % 33.37/9.31 | Equations (541) can reduce 247 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (611) ~ (all_0_50_50 = e4) % 33.37/9.31 | (1501) all_0_51_51 = e4 % 33.37/9.31 | % 33.37/9.31 | Combining equations (927,1501) yields a new equation: % 33.37/9.31 | (470) e4 = e2 % 33.37/9.31 | % 33.37/9.31 | Equations (470) can reduce 231 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (387) ~ (all_0_49_49 = e0) % 33.37/9.31 | (388) all_0_51_51 = e0 % 33.37/9.31 | % 33.37/9.31 | Combining equations (388,927) yields a new equation: % 33.37/9.31 | (385) e2 = e0 % 33.37/9.31 | % 33.37/9.31 | Equations (385) can reduce 51 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (288) ~ (all_0_40_40 = e0) % 33.37/9.31 | (6377) all_0_45_45 = e0 | all_0_48_48 = e0 | all_0_56_56 = e0 % 33.37/9.31 | % 33.37/9.31 +-Applying beta-rule and splitting (450), into two cases. % 33.37/9.31 |-Branch one: % 33.37/9.31 | (451) all_0_46_46 = e3 % 33.37/9.31 | % 33.37/9.31 | Combining equations (451,252) yields a new equation: % 33.37/9.31 | (452) e3 = e2 % 33.37/9.31 | % 33.37/9.31 | Simplifying 452 yields: % 33.37/9.31 | (453) e3 = e2 % 33.37/9.31 | % 33.37/9.31 | Equations (453) can reduce 223 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (455) ~ (all_0_46_46 = e3) % 33.37/9.31 | (456) all_0_59_59 = e3 % 33.37/9.31 | % 33.37/9.31 | Equations (456) can reduce 216 to: % 33.37/9.31 | (70) ~ (e3 = e0) % 33.37/9.31 | % 33.37/9.31 +-Applying beta-rule and splitting (6377), into two cases. % 33.37/9.31 |-Branch one: % 33.37/9.31 | (287) all_0_45_45 = e0 % 33.37/9.31 | % 33.37/9.31 | Combining equations (287,493) yields a new equation: % 33.37/9.31 | (497) e3 = e0 % 33.37/9.31 | % 33.37/9.31 | Equations (497) can reduce 70 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (534) ~ (all_0_45_45 = e0) % 33.37/9.31 | (6383) all_0_48_48 = e0 | all_0_56_56 = e0 % 33.37/9.31 | % 33.37/9.31 +-Applying beta-rule and splitting (6383), into two cases. % 33.37/9.31 |-Branch one: % 33.37/9.31 | (380) all_0_48_48 = e0 % 33.37/9.31 | % 33.37/9.31 | Combining equations (748,380) yields a new equation: % 33.37/9.31 | (670) e1 = e0 % 33.37/9.31 | % 33.37/9.31 | Simplifying 670 yields: % 33.37/9.31 | (590) e1 = e0 % 33.37/9.31 | % 33.37/9.31 | Equations (590) can reduce 134 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (292) ~ (all_0_48_48 = e0) % 33.37/9.31 | (2307) all_0_56_56 = e0 % 33.37/9.31 | % 33.37/9.31 | Combining equations (580,2307) yields a new equation: % 33.37/9.31 | (403) e2 = e0 % 33.37/9.31 | % 33.37/9.31 | Simplifying 403 yields: % 33.37/9.31 | (385) e2 = e0 % 33.37/9.31 | % 33.37/9.31 | Equations (385) can reduce 51 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (594) ~ (all_0_56_56 = e2) % 33.37/9.31 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 33.37/9.31 | % 33.37/9.31 +-Applying beta-rule and splitting (41), into two cases. % 33.37/9.31 |-Branch one: % 33.37/9.31 | (2834) all_0_40_40 = e0 % 33.37/9.31 | % 33.37/9.31 | Equations (2834) can reduce 57 to: % 33.37/9.31 | (295) ~ (all_0_56_56 = e0) % 33.37/9.31 | % 33.37/9.31 | Simplifying 295 yields: % 33.37/9.31 | (296) ~ (all_0_56_56 = e0) % 33.37/9.31 | % 33.37/9.31 +-Applying beta-rule and splitting (979), into two cases. % 33.37/9.31 |-Branch one: % 33.37/9.31 | (877) all_0_56_56 = e4 % 33.37/9.31 | % 33.37/9.31 | Equations (877) can reduce 345 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (345) ~ (all_0_56_56 = e4) % 33.37/9.31 | (2325) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 33.37/9.31 | % 33.37/9.31 +-Applying beta-rule and splitting (2325), into two cases. % 33.37/9.31 |-Branch one: % 33.37/9.31 | (583) all_0_56_56 = e1 % 33.37/9.31 | % 33.37/9.31 | Equations (583) can reduce 587 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (587) ~ (all_0_56_56 = e1) % 33.37/9.31 | (2329) all_0_56_56 = e3 | all_0_56_56 = e0 % 33.37/9.31 | % 33.37/9.31 +-Applying beta-rule and splitting (2329), into two cases. % 33.37/9.31 |-Branch one: % 33.37/9.31 | (2307) all_0_56_56 = e0 % 33.37/9.31 | % 33.37/9.31 | Equations (2307) can reduce 296 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (296) ~ (all_0_56_56 = e0) % 33.37/9.31 | (1111) all_0_56_56 = e3 % 33.37/9.31 | % 33.37/9.31 | Equations (1111) can reduce 526 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (288) ~ (all_0_40_40 = e0) % 33.37/9.31 | (6377) all_0_45_45 = e0 | all_0_48_48 = e0 | all_0_56_56 = e0 % 33.37/9.31 | % 33.37/9.31 +-Applying beta-rule and splitting (6377), into two cases. % 33.37/9.31 |-Branch one: % 33.37/9.31 | (287) all_0_45_45 = e0 % 33.37/9.31 | % 33.37/9.31 | Combining equations (287,493) yields a new equation: % 33.37/9.31 | (497) e3 = e0 % 33.37/9.31 | % 33.37/9.31 | Equations (497) can reduce 70 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (534) ~ (all_0_45_45 = e0) % 33.37/9.31 | (6383) all_0_48_48 = e0 | all_0_56_56 = e0 % 33.37/9.31 | % 33.37/9.31 +-Applying beta-rule and splitting (6383), into two cases. % 33.37/9.31 |-Branch one: % 33.37/9.31 | (380) all_0_48_48 = e0 % 33.37/9.31 | % 33.37/9.31 | Combining equations (748,380) yields a new equation: % 33.37/9.31 | (670) e1 = e0 % 33.37/9.31 | % 33.37/9.31 | Simplifying 670 yields: % 33.37/9.31 | (590) e1 = e0 % 33.37/9.31 | % 33.37/9.31 | Equations (590) can reduce 134 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (292) ~ (all_0_48_48 = e0) % 33.37/9.31 | (2307) all_0_56_56 = e0 % 33.37/9.31 | % 33.37/9.31 | Equations (2307) can reduce 296 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (802) ~ (all_0_48_48 = e1) % 33.37/9.31 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 33.37/9.31 | % 33.37/9.31 +-Applying beta-rule and splitting (803), into two cases. % 33.37/9.31 |-Branch one: % 33.37/9.31 | (1580) all_0_49_49 = e1 % 33.37/9.31 | % 33.37/9.31 | Equations (1580) can reduce 506 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (506) ~ (all_0_49_49 = e1) % 33.37/9.31 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 33.37/9.31 | % 33.37/9.31 +-Applying beta-rule and splitting (1585), into two cases. % 33.37/9.31 |-Branch one: % 33.37/9.31 | (627) all_0_50_50 = e1 % 33.37/9.31 | % 33.37/9.31 | Equations (627) can reduce 678 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (678) ~ (all_0_50_50 = e1) % 33.37/9.31 | (1590) all_0_51_51 = e1 % 33.37/9.31 | % 33.37/9.31 | Combining equations (927,1590) yields a new equation: % 33.37/9.31 | (584) e2 = e1 % 33.37/9.31 | % 33.37/9.31 | Simplifying 584 yields: % 33.37/9.31 | (585) e2 = e1 % 33.37/9.31 | % 33.37/9.31 | Equations (585) can reduce 144 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (622) ~ (all_0_43_43 = e1) % 33.37/9.31 | (705) all_0_44_44 = e1 % 33.37/9.31 | % 33.37/9.31 | Equations (705) can reduce 512 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (624) all_0_40_40 = e1 % 33.37/9.31 | (614) all_0_43_43 = e4 % 33.37/9.31 | % 33.37/9.31 | Equations (614) can reduce 712 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (445) ~ (all_0_52_52 = e4) % 33.37/9.31 | (1795) all_0_52_52 = e3 | all_0_52_52 = e1 % 33.37/9.31 | % 33.37/9.31 +-Applying beta-rule and splitting (1795), into two cases. % 33.37/9.31 |-Branch one: % 33.37/9.31 | (1070) all_0_52_52 = e1 % 33.37/9.31 | % 33.37/9.31 | Equations (1070) can reduce 502 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (502) ~ (all_0_52_52 = e1) % 33.37/9.31 | (425) all_0_52_52 = e3 % 33.37/9.31 | % 33.37/9.31 | Equations (425) can reduce 521 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 33.37/9.31 | % 33.37/9.31 | Applying alpha-rule on (514) yields: % 33.37/9.31 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 33.37/9.31 | (516) ~ (all_0_47_47 = e3) % 33.37/9.31 | (314) ~ (all_0_55_55 = e3) % 33.37/9.31 | (368) all_0_49_49 = e2 % 33.37/9.31 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 33.37/9.31 | (520) ~ (unit = e3) % 33.37/9.31 | (521) ~ (all_0_52_52 = e3) % 33.37/9.31 | (455) ~ (all_0_46_46 = e3) % 33.37/9.31 | (432) ~ (all_0_40_40 = e3) % 33.37/9.31 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 33.37/9.31 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 33.37/9.31 | (526) ~ (all_0_56_56 = e3) % 33.37/9.31 | % 33.37/9.31 | Equations (368) can reduce 2167 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 33.37/9.31 | % 33.37/9.31 | Applying alpha-rule on (528) yields: % 33.37/9.31 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 33.37/9.31 | (530) all_0_55_55 = e1 % 33.37/9.31 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 33.37/9.31 | (387) ~ (all_0_49_49 = e0) % 33.37/9.31 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 33.37/9.31 | (534) ~ (all_0_45_45 = e0) % 33.37/9.31 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 33.37/9.31 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 33.37/9.31 | (537) ~ (unit = e0) % 33.37/9.31 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 33.37/9.31 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 33.37/9.31 | % 33.37/9.31 +-Applying beta-rule and splitting (531), into two cases. % 33.37/9.31 |-Branch one: % 33.37/9.31 | (332) ~ (all_0_58_58 = e0) % 33.37/9.31 | % 33.37/9.31 | Equations (989) can reduce 332 to: % 33.37/9.31 | (303) $false % 33.37/9.31 | % 33.37/9.31 |-The branch is then unsatisfiable % 33.37/9.31 |-Branch two: % 33.37/9.31 | (989) all_0_58_58 = e0 % 33.37/9.31 | (913) all_0_60_60 = e2 % 33.37/9.31 | % 33.37/9.32 | Equations (913) can reduce 571 to: % 33.37/9.32 | (303) $false % 33.37/9.32 | % 33.37/9.32 |-The branch is then unsatisfiable % 33.37/9.32 |-Branch two: % 33.37/9.32 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 33.37/9.32 | % 33.37/9.32 | Applying alpha-rule on (543) yields: % 33.37/9.32 | (544) ~ (all_0_48_48 = e2) % 33.37/9.32 | (369) ~ (all_0_41_41 = e2) % 33.37/9.32 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 33.37/9.32 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 33.37/9.32 | (253) ~ (all_0_43_43 = e2) % 33.37/9.32 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 33.37/9.32 | (276) ~ (all_0_55_55 = e2) % 33.37/9.32 | (260) ~ (all_0_59_59 = e2) % 33.37/9.32 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 33.37/9.32 | (274) ~ (all_0_53_53 = e2) % 33.37/9.32 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 33.37/9.32 | (373) ~ (all_0_51_51 = e2) % 33.37/9.32 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 33.37/9.32 | (256) ~ (all_0_47_47 = e2) % 33.37/9.32 | (377) ~ (all_0_57_57 = e2) % 33.37/9.32 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 33.37/9.32 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 33.37/9.32 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 33.37/9.32 | (258) ~ (all_0_50_50 = e2) % 33.37/9.32 | (254) ~ (all_0_45_45 = e2) % 33.37/9.32 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 33.37/9.32 | % 33.37/9.32 | Equations (927) can reduce 373 to: % 33.37/9.32 | (303) $false % 33.37/9.32 | % 33.37/9.32 |-The branch is then unsatisfiable % 33.37/9.32 |-Branch two: % 33.37/9.32 | (369) ~ (all_0_41_41 = e2) % 33.37/9.32 | (2863) all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_57_57 = e2 % 33.37/9.32 | % 33.37/9.32 +-Applying beta-rule and splitting (2863), into two cases. % 33.37/9.32 |-Branch one: % 33.37/9.32 | (368) all_0_49_49 = e2 % 33.37/9.32 | % 33.37/9.32 | Equations (368) can reduce 2167 to: % 33.37/9.32 | (303) $false % 33.37/9.32 | % 33.37/9.32 |-The branch is then unsatisfiable % 33.37/9.32 |-Branch two: % 33.37/9.32 | (2167) ~ (all_0_49_49 = e2) % 33.37/9.32 | (5846) all_0_53_53 = e2 | all_0_57_57 = e2 % 33.37/9.32 | % 33.37/9.32 +-Applying beta-rule and splitting (157), into two cases. % 33.37/9.32 |-Branch one: % 33.37/9.32 | (917) all_0_40_40 = e2 % 33.37/9.32 | % 33.37/9.32 +-Applying beta-rule and splitting (5846), into two cases. % 33.37/9.32 |-Branch one: % 33.37/9.32 | (360) all_0_53_53 = e2 % 33.37/9.32 | % 33.37/9.32 | Equations (360) can reduce 274 to: % 33.37/9.32 | (303) $false % 33.37/9.32 | % 33.37/9.32 |-The branch is then unsatisfiable % 33.37/9.32 |-Branch two: % 33.37/9.32 | (274) ~ (all_0_53_53 = e2) % 33.37/9.32 | (897) all_0_57_57 = e2 % 33.37/9.32 | % 33.37/9.32 | Equations (897) can reduce 11 to: % 33.37/9.32 | (369) ~ (all_0_41_41 = e2) % 33.37/9.32 | % 33.37/9.32 | Equations (897) can reduce 226 to: % 33.37/9.32 | (2167) ~ (all_0_49_49 = e2) % 33.37/9.32 | % 33.37/9.32 | Equations (897) can reduce 81 to: % 33.37/9.32 | (573) ~ (all_0_60_60 = e2) % 33.37/9.32 | % 33.37/9.32 | Simplifying 573 yields: % 33.37/9.32 | (571) ~ (all_0_60_60 = e2) % 33.37/9.32 | % 33.37/9.32 | Equations (897) can reduce 202 to: % 33.37/9.32 | (261) ~ (e4 = e2) % 33.37/9.32 | % 33.37/9.32 | Simplifying 261 yields: % 33.37/9.32 | (231) ~ (e4 = e2) % 33.37/9.32 | % 33.37/9.32 | Equations (897) can reduce 2273 to: % 33.37/9.32 | (51) ~ (e2 = e0) % 33.37/9.32 | % 33.37/9.32 +-Applying beta-rule and splitting (63), into two cases. % 33.37/9.32 |-Branch one: % 33.37/9.32 | (2834) all_0_40_40 = e0 % 33.37/9.32 | % 33.37/9.32 | Combining equations (2834,917) yields a new equation: % 33.37/9.32 | (385) e2 = e0 % 33.37/9.32 | % 33.37/9.32 | Equations (385) can reduce 51 to: % 33.37/9.32 | (303) $false % 33.37/9.32 | % 33.37/9.32 |-The branch is then unsatisfiable % 33.37/9.32 |-Branch two: % 33.37/9.32 | (288) ~ (all_0_40_40 = e0) % 33.37/9.32 | (5766) all_0_41_41 = e0 | all_0_42_42 = e0 | all_0_44_44 = e0 % 33.37/9.32 | % 33.37/9.32 | Equations (917) can reduce 288 to: % 33.37/9.32 | (51) ~ (e2 = e0) % 33.37/9.32 | % 33.37/9.32 +-Applying beta-rule and splitting (5766), into two cases. % 33.37/9.32 |-Branch one: % 33.37/9.32 | (398) all_0_41_41 = e0 % 33.37/9.32 | % 33.37/9.32 | Equations (398) can reduce 43 to: % 33.37/9.32 | (327) ~ (all_0_43_43 = e0) % 33.37/9.32 | % 33.37/9.32 | Simplifying 327 yields: % 33.37/9.32 | (117) ~ (all_0_43_43 = e0) % 33.37/9.32 | % 33.37/9.32 | Equations (398) can reduce 177 to: % 33.37/9.32 | (8746) ~ (all_0_49_49 = e0) % 33.37/9.32 | % 33.37/9.32 | Simplifying 8746 yields: % 33.37/9.32 | (387) ~ (all_0_49_49 = e0) % 33.37/9.32 | % 33.37/9.32 | Equations (398) can reduce 192 to: % 33.37/9.32 | (297) ~ (e4 = e0) % 33.37/9.32 | % 33.37/9.32 | Simplifying 297 yields: % 33.37/9.32 | (4) ~ (e4 = e0) % 33.37/9.32 | % 33.37/9.32 | Equations (398) can reduce 369 to: % 33.37/9.32 | (335) ~ (e2 = e0) % 33.37/9.32 | % 33.37/9.32 | Simplifying 335 yields: % 33.37/9.32 | (51) ~ (e2 = e0) % 33.37/9.32 | % 33.37/9.32 +-Applying beta-rule and splitting (67), into two cases. % 33.37/9.32 |-Branch one: % 33.37/9.32 | (380) all_0_48_48 = e0 % 33.37/9.32 | % 33.37/9.32 | Equations (380) can reduce 58 to: % 33.37/9.32 | (8746) ~ (all_0_49_49 = e0) % 33.37/9.32 | % 33.37/9.32 | Simplifying 8746 yields: % 33.37/9.32 | (387) ~ (all_0_49_49 = e0) % 33.37/9.32 | % 33.37/9.32 +-Applying beta-rule and splitting (234), into two cases. % 33.37/9.32 |-Branch one: % 33.37/9.32 | (609) all_0_48_48 = e4 % 33.37/9.32 | % 33.37/9.32 | Combining equations (380,609) yields a new equation: % 33.37/9.32 | (654) e4 = e0 % 33.37/9.32 | % 33.37/9.32 | Equations (654) can reduce 4 to: % 33.37/9.32 | (303) $false % 33.37/9.32 | % 33.37/9.32 |-The branch is then unsatisfiable % 33.37/9.32 |-Branch two: % 33.37/9.32 | (721) ~ (all_0_48_48 = e4) % 33.37/9.32 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 33.37/9.32 | % 33.37/9.32 +-Applying beta-rule and splitting (722), into two cases. % 33.37/9.32 |-Branch one: % 33.37/9.32 | (714) all_0_50_50 = e4 % 33.37/9.32 | % 33.37/9.32 | Equations (714) can reduce 258 to: % 33.37/9.32 | (231) ~ (e4 = e2) % 33.37/9.32 | % 33.37/9.32 +-Applying beta-rule and splitting (56), into two cases. % 33.37/9.32 |-Branch one: % 33.37/9.32 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 33.37/9.32 | % 33.37/9.32 +-Applying beta-rule and splitting (480), into two cases. % 33.37/9.32 |-Branch one: % 33.37/9.32 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 33.37/9.32 | % 33.37/9.32 +-Applying beta-rule and splitting (481), into two cases. % 33.37/9.32 |-Branch one: % 33.37/9.32 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 33.37/9.32 | % 33.37/9.32 +-Applying beta-rule and splitting (482), into two cases. % 33.37/9.32 |-Branch one: % 33.37/9.32 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 33.37/9.32 | % 33.37/9.32 | Applying alpha-rule on (483) yields: % 33.37/9.32 | (484) ~ (unit = e4) % 33.37/9.32 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 33.37/9.32 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 33.37/9.32 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 33.37/9.32 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 33.37/9.32 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 33.37/9.32 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 33.37/9.32 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 33.37/9.32 | (492) ~ (all_0_55_55 = e4) % 33.37/9.32 | (493) all_0_45_45 = e3 % 33.37/9.32 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 33.37/9.32 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 33.37/9.32 | % 33.37/9.32 +-Applying beta-rule and splitting (228), into two cases. % 33.37/9.32 |-Branch one: % 33.37/9.32 | (748) all_0_48_48 = e1 % 33.37/9.32 | % 33.37/9.32 | Combining equations (380,748) yields a new equation: % 33.37/9.32 | (590) e1 = e0 % 33.37/9.32 | % 33.37/9.32 | Equations (590) can reduce 134 to: % 33.37/9.32 | (303) $false % 33.37/9.32 | % 33.37/9.32 |-The branch is then unsatisfiable % 33.37/9.32 |-Branch two: % 33.37/9.32 | (802) ~ (all_0_48_48 = e1) % 33.37/9.32 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 33.37/9.32 | % 33.37/9.32 | Equations (380) can reduce 802 to: % 33.37/9.32 | (661) ~ (e1 = e0) % 33.37/9.32 | % 33.37/9.32 | Simplifying 661 yields: % 33.37/9.32 | (134) ~ (e1 = e0) % 33.37/9.32 | % 33.37/9.32 +-Applying beta-rule and splitting (6), into two cases. % 33.37/9.32 |-Branch one: % 33.37/9.32 | (442) all_0_52_52 = e4 % 33.37/9.32 | % 33.37/9.32 | Equations (442) can reduce 149 to: % 33.37/9.32 | (2280) ~ (all_0_56_56 = e4) % 33.37/9.32 | % 33.37/9.32 | Simplifying 2280 yields: % 33.37/9.32 | (345) ~ (all_0_56_56 = e4) % 33.37/9.32 | % 33.37/9.32 +-Applying beta-rule and splitting (243), into two cases. % 33.37/9.32 |-Branch one: % 33.37/9.32 | (877) all_0_56_56 = e4 % 33.37/9.32 | % 33.37/9.32 | Equations (877) can reduce 345 to: % 33.37/9.32 | (303) $false % 33.37/9.32 | % 33.37/9.32 |-The branch is then unsatisfiable % 33.37/9.32 |-Branch two: % 33.37/9.32 | (345) ~ (all_0_56_56 = e4) % 33.37/9.32 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 33.37/9.32 | % 33.37/9.32 +-Applying beta-rule and splitting (175), into two cases. % 33.37/9.32 |-Branch one: % 33.37/9.32 | (624) all_0_40_40 = e1 % 33.37/9.32 | % 33.37/9.32 | Combining equations (624,917) yields a new equation: % 33.37/9.32 | (585) e2 = e1 % 33.37/9.32 | % 33.37/9.32 | Equations (585) can reduce 144 to: % 33.37/9.32 | (303) $false % 33.37/9.32 | % 33.37/9.32 |-The branch is then unsatisfiable % 33.37/9.32 |-Branch two: % 33.37/9.32 | (683) ~ (all_0_40_40 = e1) % 33.37/9.32 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 33.37/9.32 | % 33.37/9.32 +-Applying beta-rule and splitting (684), into two cases. % 33.37/9.32 |-Branch one: % 33.37/9.32 | (748) all_0_48_48 = e1 % 33.37/9.32 | % 33.37/9.32 | Combining equations (380,748) yields a new equation: % 33.37/9.32 | (590) e1 = e0 % 33.37/9.32 | % 33.37/9.32 | Equations (590) can reduce 134 to: % 33.37/9.32 | (303) $false % 33.37/9.32 | % 33.37/9.32 |-The branch is then unsatisfiable % 33.37/9.32 |-Branch two: % 33.37/9.32 | (802) ~ (all_0_48_48 = e1) % 33.37/9.32 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 33.37/9.32 | % 33.37/9.32 +-Applying beta-rule and splitting (807), into two cases. % 33.37/9.32 |-Branch one: % 33.37/9.32 | (1070) all_0_52_52 = e1 % 33.37/9.32 | % 33.37/9.32 | Combining equations (442,1070) yields a new equation: % 33.37/9.32 | (540) e4 = e1 % 33.37/9.32 | % 33.37/9.32 | Simplifying 540 yields: % 33.37/9.32 | (541) e4 = e1 % 33.37/9.32 | % 33.37/9.32 | Equations (541) can reduce 247 to: % 33.37/9.32 | (303) $false % 33.37/9.32 | % 33.37/9.32 |-The branch is then unsatisfiable % 33.37/9.32 |-Branch two: % 33.37/9.32 | (502) ~ (all_0_52_52 = e1) % 33.37/9.32 | (583) all_0_56_56 = e1 % 33.37/9.32 | % 33.37/9.32 | Equations (583) can reduce 42 to: % 33.37/9.32 | (3274) ~ (all_0_59_59 = e1) % 33.37/9.32 | % 33.37/9.32 | Simplifying 3274 yields: % 33.37/9.32 | (603) ~ (all_0_59_59 = e1) % 33.37/9.32 | % 33.37/9.32 | Equations (583) can reduce 345 to: % 33.37/9.32 | (605) ~ (e4 = e1) % 33.37/9.32 | % 33.37/9.32 | Simplifying 605 yields: % 33.37/9.32 | (247) ~ (e4 = e1) % 33.37/9.32 | % 33.37/9.32 +-Applying beta-rule and splitting (100), into two cases. % 33.37/9.32 |-Branch one: % 33.37/9.32 | (618) all_0_43_43 = e1 % 33.37/9.32 | % 33.37/9.32 | Equations (618) can reduce 117 to: % 33.37/9.32 | (134) ~ (e1 = e0) % 33.37/9.32 | % 33.37/9.32 +-Applying beta-rule and splitting (221), into two cases. % 33.37/9.32 |-Branch one: % 33.37/9.32 | (696) all_0_41_41 = e1 % 33.37/9.32 | % 33.37/9.32 | Combining equations (696,398) yields a new equation: % 33.37/9.32 | (670) e1 = e0 % 33.37/9.32 | % 33.37/9.32 | Simplifying 670 yields: % 33.37/9.32 | (590) e1 = e0 % 33.37/9.32 | % 33.37/9.32 | Equations (590) can reduce 134 to: % 33.37/9.32 | (303) $false % 33.37/9.32 | % 33.37/9.32 |-The branch is then unsatisfiable % 33.37/9.32 |-Branch two: % 33.37/9.32 | (699) ~ (all_0_41_41 = e1) % 33.37/9.32 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 33.37/9.32 | % 33.37/9.32 | Equations (398) can reduce 699 to: % 33.37/9.32 | (661) ~ (e1 = e0) % 33.37/9.32 | % 33.37/9.32 | Simplifying 661 yields: % 33.37/9.32 | (134) ~ (e1 = e0) % 33.37/9.32 | % 33.37/9.32 +-Applying beta-rule and splitting (488), into two cases. % 33.37/9.32 |-Branch one: % 33.37/9.32 | (611) ~ (all_0_50_50 = e4) % 33.37/9.32 | % 33.37/9.32 | Equations (714) can reduce 611 to: % 33.37/9.32 | (303) $false % 33.37/9.32 | % 33.37/9.32 |-The branch is then unsatisfiable % 33.37/9.32 |-Branch two: % 33.37/9.32 | (714) all_0_50_50 = e4 % 33.37/9.32 | (748) all_0_48_48 = e1 % 33.37/9.32 | % 33.37/9.32 | Combining equations (748,380) yields a new equation: % 33.37/9.32 | (670) e1 = e0 % 33.37/9.32 | % 33.37/9.32 | Simplifying 670 yields: % 33.37/9.32 | (590) e1 = e0 % 33.37/9.32 | % 33.37/9.32 | Equations (590) can reduce 134 to: % 33.37/9.32 | (303) $false % 33.37/9.32 | % 33.37/9.32 |-The branch is then unsatisfiable % 33.37/9.32 |-Branch two: % 33.37/9.32 | (622) ~ (all_0_43_43 = e1) % 33.37/9.32 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 33.37/9.32 | % 33.37/9.32 +-Applying beta-rule and splitting (623), into two cases. % 33.37/9.32 |-Branch one: % 33.37/9.32 | (627) all_0_50_50 = e1 % 33.37/9.32 | % 33.37/9.32 | Combining equations (714,627) yields a new equation: % 33.37/9.32 | (540) e4 = e1 % 33.37/9.32 | % 33.37/9.32 | Simplifying 540 yields: % 33.37/9.32 | (541) e4 = e1 % 33.37/9.32 | % 33.37/9.32 | Equations (541) can reduce 247 to: % 33.37/9.32 | (303) $false % 33.37/9.32 | % 33.37/9.32 |-The branch is then unsatisfiable % 33.37/9.32 |-Branch two: % 33.37/9.32 | (678) ~ (all_0_50_50 = e1) % 33.37/9.32 | (600) all_0_59_59 = e1 % 33.37/9.32 | % 33.37/9.32 | Equations (600) can reduce 603 to: % 33.37/9.32 | (303) $false % 33.37/9.32 | % 33.37/9.32 |-The branch is then unsatisfiable % 33.37/9.32 |-Branch two: % 33.37/9.32 | (445) ~ (all_0_52_52 = e4) % 33.37/9.32 | (446) all_0_54_54 = e4 | all_0_55_55 = e4 % 33.37/9.32 | % 33.37/9.32 +-Applying beta-rule and splitting (446), into two cases. % 33.37/9.32 |-Branch one: % 33.37/9.32 | (469) all_0_54_54 = e4 % 33.37/9.32 | % 33.37/9.32 | Combining equations (469,271) yields a new equation: % 33.37/9.32 | (878) e4 = e2 % 33.37/9.32 | % 33.37/9.32 | Simplifying 878 yields: % 33.37/9.32 | (470) e4 = e2 % 33.37/9.32 | % 33.37/9.32 | Equations (470) can reduce 231 to: % 33.37/9.32 | (303) $false % 33.37/9.32 | % 33.37/9.32 |-The branch is then unsatisfiable % 33.37/9.32 |-Branch two: % 33.37/9.32 | (472) ~ (all_0_54_54 = e4) % 33.37/9.32 | (473) all_0_55_55 = e4 % 33.37/9.32 | % 33.37/9.32 | Equations (473) can reduce 492 to: % 33.37/9.32 | (303) $false % 33.37/9.32 | % 33.37/9.32 |-The branch is then unsatisfiable % 33.37/9.32 |-Branch two: % 33.37/9.32 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 33.37/9.32 | % 33.37/9.32 | Applying alpha-rule on (499) yields: % 33.37/9.32 | (500) ~ (all_0_51_51 = e1) % 33.37/9.32 | (501) ~ (all_0_60_60 = e1) % 33.37/9.32 | (502) ~ (all_0_52_52 = e1) % 33.37/9.32 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 33.37/9.32 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 33.37/9.32 | (252) all_0_46_46 = e2 % 33.37/9.32 | (506) ~ (all_0_49_49 = e1) % 33.37/9.32 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 33.37/9.32 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 33.37/9.32 | (509) ~ (all_0_53_53 = e1) % 33.37/9.32 | (510) ~ (unit = e1) % 33.37/9.32 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 33.37/9.32 | (512) ~ (all_0_44_44 = e1) % 33.37/9.32 | % 33.37/9.32 +-Applying beta-rule and splitting (2168), into two cases. % 33.37/9.32 |-Branch one: % 33.37/9.32 | (1580) all_0_49_49 = e1 % 33.37/9.32 | % 33.37/9.32 | Equations (1580) can reduce 506 to: % 33.37/9.32 | (303) $false % 33.37/9.32 | % 33.37/9.32 |-The branch is then unsatisfiable % 33.37/9.32 |-Branch two: % 33.37/9.32 | (506) ~ (all_0_49_49 = e1) % 33.37/9.32 | (384) all_0_49_49 = e0 % 33.37/9.32 | % 33.37/9.32 | Equations (384) can reduce 387 to: % 33.37/9.32 | (303) $false % 33.37/9.32 | % 33.37/9.32 |-The branch is then unsatisfiable % 33.37/9.32 |-Branch two: % 33.37/9.32 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 33.37/9.33 | % 33.37/9.33 | Applying alpha-rule on (514) yields: % 33.37/9.33 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 33.37/9.33 | (516) ~ (all_0_47_47 = e3) % 33.37/9.33 | (314) ~ (all_0_55_55 = e3) % 33.37/9.33 | (368) all_0_49_49 = e2 % 33.37/9.33 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 33.37/9.33 | (520) ~ (unit = e3) % 33.37/9.33 | (521) ~ (all_0_52_52 = e3) % 33.37/9.33 | (455) ~ (all_0_46_46 = e3) % 33.37/9.33 | (432) ~ (all_0_40_40 = e3) % 33.37/9.33 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 33.37/9.33 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 33.37/9.33 | (526) ~ (all_0_56_56 = e3) % 33.37/9.33 | % 33.37/9.33 | Equations (368) can reduce 2167 to: % 33.37/9.33 | (303) $false % 33.37/9.33 | % 33.37/9.33 |-The branch is then unsatisfiable % 33.37/9.33 |-Branch two: % 33.37/9.33 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 33.37/9.33 | % 33.37/9.33 | Applying alpha-rule on (528) yields: % 33.37/9.33 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 33.37/9.33 | (530) all_0_55_55 = e1 % 33.37/9.33 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 33.37/9.33 | (387) ~ (all_0_49_49 = e0) % 33.37/9.33 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 33.37/9.33 | (534) ~ (all_0_45_45 = e0) % 33.37/9.33 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 33.37/9.33 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 33.37/9.33 | (537) ~ (unit = e0) % 33.37/9.33 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 33.37/9.33 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 33.37/9.33 | % 33.37/9.33 +-Applying beta-rule and splitting (531), into two cases. % 33.37/9.33 |-Branch one: % 33.37/9.33 | (332) ~ (all_0_58_58 = e0) % 33.37/9.33 | % 33.37/9.33 | Equations (989) can reduce 332 to: % 33.37/9.33 | (303) $false % 33.37/9.33 | % 33.37/9.33 |-The branch is then unsatisfiable % 33.37/9.33 |-Branch two: % 33.37/9.33 | (989) all_0_58_58 = e0 % 33.37/9.33 | (913) all_0_60_60 = e2 % 33.37/9.33 | % 33.37/9.33 | Equations (913) can reduce 571 to: % 33.37/9.33 | (303) $false % 33.37/9.33 | % 33.37/9.33 |-The branch is then unsatisfiable % 33.37/9.33 |-Branch two: % 33.37/9.33 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 33.37/9.33 | % 33.37/9.33 | Applying alpha-rule on (543) yields: % 33.37/9.33 | (544) ~ (all_0_48_48 = e2) % 33.37/9.33 | (369) ~ (all_0_41_41 = e2) % 33.37/9.33 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 33.37/9.33 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 33.37/9.33 | (253) ~ (all_0_43_43 = e2) % 33.37/9.33 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 33.37/9.33 | (276) ~ (all_0_55_55 = e2) % 33.37/9.33 | (260) ~ (all_0_59_59 = e2) % 33.37/9.33 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 33.37/9.33 | (274) ~ (all_0_53_53 = e2) % 33.37/9.33 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 33.37/9.33 | (373) ~ (all_0_51_51 = e2) % 33.37/9.33 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 33.37/9.33 | (256) ~ (all_0_47_47 = e2) % 33.37/9.33 | (377) ~ (all_0_57_57 = e2) % 33.37/9.33 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 33.37/9.33 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 33.37/9.33 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 33.37/9.33 | (258) ~ (all_0_50_50 = e2) % 33.37/9.33 | (254) ~ (all_0_45_45 = e2) % 33.37/9.33 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 33.37/9.33 | % 33.37/9.33 | Equations (897) can reduce 377 to: % 33.37/9.33 | (303) $false % 33.37/9.33 | % 33.37/9.33 |-The branch is then unsatisfiable % 33.37/9.33 |-Branch two: % 33.37/9.33 | (611) ~ (all_0_50_50 = e4) % 33.37/9.33 | (1501) all_0_51_51 = e4 % 33.37/9.33 | % 33.37/9.33 | Combining equations (927,1501) yields a new equation: % 33.37/9.33 | (470) e4 = e2 % 33.37/9.33 | % 33.37/9.33 | Equations (470) can reduce 231 to: % 33.37/9.33 | (303) $false % 33.37/9.33 | % 33.37/9.33 |-The branch is then unsatisfiable % 33.37/9.33 |-Branch two: % 33.37/9.33 | (292) ~ (all_0_48_48 = e0) % 33.37/9.33 | (383) all_0_49_49 = e0 | all_0_51_51 = e0 % 33.37/9.33 | % 33.37/9.33 +-Applying beta-rule and splitting (41), into two cases. % 33.37/9.33 |-Branch one: % 33.37/9.33 | (2834) all_0_40_40 = e0 % 33.37/9.33 | % 33.37/9.33 | Combining equations (2834,917) yields a new equation: % 33.37/9.33 | (385) e2 = e0 % 33.37/9.33 | % 33.37/9.33 | Equations (385) can reduce 51 to: % 33.37/9.33 | (303) $false % 33.37/9.33 | % 33.37/9.33 |-The branch is then unsatisfiable % 33.37/9.33 |-Branch two: % 33.37/9.33 | (288) ~ (all_0_40_40 = e0) % 33.37/9.33 | (6377) all_0_45_45 = e0 | all_0_48_48 = e0 | all_0_56_56 = e0 % 33.37/9.33 | % 33.37/9.33 | Equations (917) can reduce 288 to: % 33.37/9.33 | (51) ~ (e2 = e0) % 33.37/9.33 | % 33.37/9.33 +-Applying beta-rule and splitting (383), into two cases. % 33.37/9.33 |-Branch one: % 33.37/9.33 | (384) all_0_49_49 = e0 % 33.37/9.33 | % 33.37/9.33 | Equations (384) can reduce 387 to: % 33.37/9.33 | (303) $false % 33.37/9.33 | % 33.37/9.33 |-The branch is then unsatisfiable % 33.37/9.33 |-Branch two: % 33.37/9.33 | (387) ~ (all_0_49_49 = e0) % 33.37/9.33 | (388) all_0_51_51 = e0 % 33.37/9.33 | % 33.37/9.33 | Combining equations (927,388) yields a new equation: % 33.37/9.33 | (403) e2 = e0 % 33.37/9.33 | % 33.37/9.33 | Simplifying 403 yields: % 33.37/9.33 | (385) e2 = e0 % 33.37/9.33 | % 33.37/9.33 | Equations (385) can reduce 51 to: % 33.37/9.33 | (303) $false % 33.37/9.33 | % 33.37/9.33 |-The branch is then unsatisfiable % 33.37/9.33 |-Branch two: % 33.37/9.33 | (326) ~ (all_0_41_41 = e0) % 33.37/9.33 | (5772) all_0_42_42 = e0 | all_0_44_44 = e0 % 33.37/9.33 | % 33.37/9.33 +-Applying beta-rule and splitting (41), into two cases. % 33.37/9.33 |-Branch one: % 33.37/9.33 | (2834) all_0_40_40 = e0 % 33.37/9.33 | % 33.37/9.33 | Combining equations (2834,917) yields a new equation: % 33.37/9.33 | (385) e2 = e0 % 33.37/9.33 | % 33.37/9.33 | Equations (385) can reduce 51 to: % 33.37/9.33 | (303) $false % 33.37/9.33 | % 33.37/9.33 |-The branch is then unsatisfiable % 33.37/9.33 |-Branch two: % 33.37/9.33 | (288) ~ (all_0_40_40 = e0) % 33.37/9.33 | (6377) all_0_45_45 = e0 | all_0_48_48 = e0 | all_0_56_56 = e0 % 33.37/9.33 | % 33.37/9.33 +-Applying beta-rule and splitting (6377), into two cases. % 33.37/9.33 |-Branch one: % 33.37/9.33 | (287) all_0_45_45 = e0 % 33.37/9.33 | % 33.37/9.33 | Combining equations (493,287) yields a new equation: % 33.37/9.33 | (496) e3 = e0 % 33.37/9.33 | % 33.37/9.33 | Simplifying 496 yields: % 33.37/9.33 | (497) e3 = e0 % 33.37/9.33 | % 33.37/9.33 | Equations (497) can reduce 70 to: % 33.37/9.33 | (303) $false % 33.37/9.33 | % 33.37/9.33 |-The branch is then unsatisfiable % 33.37/9.33 |-Branch two: % 33.37/9.33 | (534) ~ (all_0_45_45 = e0) % 33.37/9.33 | (6383) all_0_48_48 = e0 | all_0_56_56 = e0 % 33.37/9.33 | % 33.37/9.33 +-Applying beta-rule and splitting (6383), into two cases. % 33.37/9.33 |-Branch one: % 33.37/9.33 | (380) all_0_48_48 = e0 % 33.37/9.33 | % 33.37/9.33 +-Applying beta-rule and splitting (234), into two cases. % 33.37/9.33 |-Branch one: % 33.37/9.33 | (609) all_0_48_48 = e4 % 33.37/9.33 | % 33.37/9.33 | Combining equations (380,609) yields a new equation: % 33.37/9.33 | (654) e4 = e0 % 33.37/9.33 | % 33.37/9.33 | Equations (654) can reduce 4 to: % 33.37/9.33 | (303) $false % 33.37/9.33 | % 33.37/9.33 |-The branch is then unsatisfiable % 33.37/9.33 |-Branch two: % 33.37/9.33 | (721) ~ (all_0_48_48 = e4) % 33.37/9.33 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 33.37/9.33 | % 33.37/9.33 | Equations (380) can reduce 721 to: % 33.37/9.33 | (297) ~ (e4 = e0) % 33.37/9.33 | % 33.37/9.33 | Simplifying 297 yields: % 33.37/9.33 | (4) ~ (e4 = e0) % 33.37/9.33 | % 33.37/9.33 +-Applying beta-rule and splitting (5772), into two cases. % 33.37/9.33 |-Branch one: % 33.37/9.33 | (324) all_0_42_42 = e0 % 33.37/9.33 | % 33.37/9.33 | Combining equations (324,3175) yields a new equation: % 33.37/9.33 | (654) e4 = e0 % 33.37/9.33 | % 33.37/9.33 | Equations (654) can reduce 4 to: % 33.37/9.33 | (303) $false % 33.37/9.33 | % 33.37/9.33 |-The branch is then unsatisfiable % 33.37/9.33 |-Branch two: % 33.37/9.33 | (3164) ~ (all_0_42_42 = e0) % 33.37/9.33 | (2078) all_0_44_44 = e0 % 33.37/9.33 | % 33.37/9.33 | Equations (2078) can reduce 330 to: % 33.37/9.33 | (303) $false % 33.37/9.33 | % 33.37/9.33 |-The branch is then unsatisfiable % 33.37/9.33 |-Branch two: % 33.37/9.33 | (292) ~ (all_0_48_48 = e0) % 33.37/9.33 | (2307) all_0_56_56 = e0 % 33.37/9.33 | % 33.37/9.33 | Equations (2307) can reduce 296 to: % 33.37/9.33 | (303) $false % 33.37/9.33 | % 33.37/9.33 |-The branch is then unsatisfiable % 33.37/9.33 |-Branch two: % 33.37/9.33 | (939) ~ (all_0_40_40 = e2) % 33.37/9.33 | (940) all_0_41_41 = e2 | all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 33.37/9.33 | % 33.37/9.33 +-Applying beta-rule and splitting (5846), into two cases. % 33.37/9.33 |-Branch one: % 33.37/9.33 | (360) all_0_53_53 = e2 % 33.37/9.33 | % 33.37/9.33 | Equations (360) can reduce 274 to: % 33.37/9.33 | (303) $false % 33.37/9.33 | % 33.37/9.33 |-The branch is then unsatisfiable % 33.37/9.33 |-Branch two: % 33.37/9.33 | (274) ~ (all_0_53_53 = e2) % 33.37/9.33 | (897) all_0_57_57 = e2 % 33.37/9.33 | % 33.37/9.33 | Equations (897) can reduce 11 to: % 33.37/9.33 | (369) ~ (all_0_41_41 = e2) % 33.37/9.33 | % 33.37/9.33 | Equations (897) can reduce 202 to: % 33.37/9.33 | (261) ~ (e4 = e2) % 33.37/9.33 | % 33.37/9.33 | Simplifying 261 yields: % 33.37/9.33 | (231) ~ (e4 = e2) % 33.37/9.33 | % 33.37/9.33 +-Applying beta-rule and splitting (940), into two cases. % 33.37/9.33 |-Branch one: % 33.37/9.33 | (945) all_0_41_41 = e2 % 33.37/9.33 | % 33.37/9.33 | Equations (945) can reduce 369 to: % 33.37/9.33 | (303) $false % 33.37/9.33 | % 33.37/9.33 |-The branch is then unsatisfiable % 33.37/9.33 |-Branch two: % 33.37/9.33 | (369) ~ (all_0_41_41 = e2) % 33.37/9.33 | (949) all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 33.37/9.33 | % 33.37/9.33 +-Applying beta-rule and splitting (949), into two cases. % 33.37/9.33 |-Branch one: % 33.37/9.33 | (959) all_0_42_42 = e2 % 33.37/9.33 | % 33.37/9.33 | Combining equations (959,3175) yields a new equation: % 33.37/9.33 | (470) e4 = e2 % 33.37/9.33 | % 33.37/9.33 | Equations (470) can reduce 231 to: % 33.37/9.33 | (303) $false % 33.37/9.33 | % 33.37/9.33 |-The branch is then unsatisfiable % 33.37/9.33 |-Branch two: % 33.37/9.33 | (272) ~ (all_0_42_42 = e2) % 33.37/9.33 | (964) all_0_43_43 = e2 | all_0_44_44 = e2 % 33.37/9.33 | % 33.37/9.33 +-Applying beta-rule and splitting (964), into two cases. % 33.37/9.33 |-Branch one: % 33.37/9.33 | (965) all_0_43_43 = e2 % 33.37/9.33 | % 33.37/9.33 | Equations (965) can reduce 253 to: % 33.37/9.33 | (303) $false % 33.37/9.33 | % 33.37/9.33 |-The branch is then unsatisfiable % 33.37/9.33 |-Branch two: % 33.37/9.33 | (253) ~ (all_0_43_43 = e2) % 33.37/9.33 | (572) all_0_44_44 = e2 % 33.37/9.33 | % 33.37/9.33 | Equations (572) can reduce 915 to: % 33.37/9.33 | (303) $false % 33.37/9.33 | % 33.37/9.33 |-The branch is then unsatisfiable % 33.37/9.33 |-Branch two: % 33.37/9.33 | (6245) ~ (all_0_42_42 = e4) % 33.37/9.33 | (6246) all_0_54_54 = e4 | all_0_58_58 = e4 % 33.37/9.33 | % 33.37/9.33 +-Applying beta-rule and splitting (6246), into two cases. % 33.37/9.33 |-Branch one: % 33.37/9.33 | (469) all_0_54_54 = e4 % 33.37/9.33 | % 33.37/9.33 | Combining equations (271,469) yields a new equation: % 33.37/9.33 | (470) e4 = e2 % 33.37/9.33 | % 33.37/9.33 | Equations (470) can reduce 231 to: % 33.37/9.33 | (303) $false % 33.37/9.33 | % 33.37/9.33 |-The branch is then unsatisfiable % 33.37/9.33 |-Branch two: % 33.37/9.33 | (472) ~ (all_0_54_54 = e4) % 33.37/9.33 | (344) all_0_58_58 = e4 % 33.37/9.33 | % 33.37/9.33 | Combining equations (344,989) yields a new equation: % 33.37/9.33 | (1573) e4 = e0 % 33.37/9.33 | % 33.37/9.33 | Simplifying 1573 yields: % 33.37/9.33 | (654) e4 = e0 % 33.37/9.33 | % 33.37/9.33 | Equations (654) can reduce 4 to: % 33.37/9.33 | (303) $false % 33.37/9.33 | % 33.37/9.33 |-The branch is then unsatisfiable % 33.37/9.33 |-Branch two: % 33.37/9.33 | (1109) ~ (all_0_45_45 = e3) % 33.37/9.33 | (12370) all_0_46_46 = e3 | all_0_47_47 = e3 % 33.37/9.33 | % 33.37/9.33 +-Applying beta-rule and splitting (6273), into two cases. % 33.37/9.33 |-Branch one: % 33.37/9.33 | (287) all_0_45_45 = e0 % 33.37/9.33 | % 33.37/9.33 | Equations (287) can reduce 534 to: % 33.37/9.33 | (303) $false % 33.37/9.33 | % 33.37/9.33 |-The branch is then unsatisfiable % 33.37/9.33 |-Branch two: % 33.37/9.33 | (534) ~ (all_0_45_45 = e0) % 33.37/9.33 | (493) all_0_45_45 = e3 % 33.37/9.33 | % 33.37/9.33 | Equations (493) can reduce 1109 to: % 33.37/9.33 | (303) $false % 33.37/9.33 | % 33.37/9.33 |-The branch is then unsatisfiable % 33.37/9.34 |-Branch two: % 33.37/9.34 | (3453) ~ (all_0_54_54 = e2) % 33.37/9.34 | (469) all_0_54_54 = e4 % 33.37/9.34 | % 33.37/9.34 | Equations (469) can reduce 92 to: % 33.37/9.34 | (445) ~ (all_0_52_52 = e4) % 33.37/9.34 | % 33.37/9.34 | Equations (469) can reduce 14 to: % 33.37/9.34 | (229) ~ (all_0_53_53 = e4) % 33.37/9.34 | % 33.37/9.34 | Equations (469) can reduce 73 to: % 33.37/9.34 | (6955) ~ (all_0_55_55 = e4) % 33.37/9.34 | % 33.37/9.34 | Simplifying 6955 yields: % 33.37/9.34 | (492) ~ (all_0_55_55 = e4) % 33.37/9.34 | % 33.37/9.34 | Equations (469) can reduce 3 to: % 33.37/9.34 | (12382) ~ (all_0_58_58 = e4) % 33.37/9.34 | % 33.37/9.34 | Simplifying 12382 yields: % 33.37/9.34 | (3161) ~ (all_0_58_58 = e4) % 33.37/9.34 | % 33.37/9.34 | Equations (469) can reduce 3453 to: % 33.37/9.34 | (231) ~ (e4 = e2) % 33.37/9.34 | % 33.37/9.34 | Equations (469) can reduce 79 to: % 33.37/9.34 | (247) ~ (e4 = e1) % 33.37/9.34 | % 33.37/9.34 | From (469) and (28) follows: % 33.37/9.34 | (12386) op(e4, e2) = all_0_28_28 % 33.37/9.34 | % 33.37/9.34 | From (469) and (206) follows: % 33.37/9.34 | (12387) op(e4, e1) = all_0_27_27 % 33.37/9.34 | % 33.37/9.34 | From (469) and (208) follows: % 33.37/9.34 | (12388) op(e1, e2) = e4 % 33.37/9.34 | % 33.37/9.34 | Instantiating formula (29) with e4, e2, all_0_28_28, all_0_42_42 and discharging atoms op(e4, e2) = all_0_28_28, op(e4, e2) = all_0_42_42, yields: % 33.37/9.34 | (12389) all_0_28_28 = all_0_42_42 % 33.37/9.34 | % 33.37/9.34 | Instantiating formula (29) with e4, e1, all_0_27_27, all_0_43_43 and discharging atoms op(e4, e1) = all_0_27_27, op(e4, e1) = all_0_43_43, yields: % 33.37/9.34 | (12390) all_0_27_27 = all_0_43_43 % 33.37/9.34 | % 33.37/9.34 | From (12389) and (12386) follows: % 33.37/9.34 | (148) op(e4, e2) = all_0_42_42 % 33.37/9.34 | % 33.37/9.34 | From (12390) and (12387) follows: % 33.37/9.34 | (19) op(e4, e1) = all_0_43_43 % 33.37/9.34 | % 33.37/9.34 +-Applying beta-rule and splitting (163), into two cases. % 33.37/9.34 |-Branch one: % 33.37/9.34 | (324) all_0_42_42 = e0 % 33.37/9.34 | % 33.37/9.34 | Combining equations (324,12389) yields a new equation: % 33.37/9.34 | (12394) all_0_28_28 = e0 % 33.37/9.34 | % 33.37/9.34 | Equations (324) can reduce 115 to: % 33.37/9.34 | (288) ~ (all_0_40_40 = e0) % 33.37/9.34 | % 33.37/9.34 | Equations (324) can reduce 55 to: % 33.37/9.34 | (326) ~ (all_0_41_41 = e0) % 33.37/9.34 | % 33.37/9.34 | Equations (324) can reduce 119 to: % 33.37/9.34 | (327) ~ (all_0_43_43 = e0) % 33.37/9.34 | % 33.37/9.34 | Simplifying 327 yields: % 33.37/9.34 | (117) ~ (all_0_43_43 = e0) % 33.37/9.34 | % 33.37/9.34 | Equations (324) can reduce 69 to: % 33.37/9.34 | (329) ~ (all_0_44_44 = e0) % 33.37/9.34 | % 33.37/9.34 | Simplifying 329 yields: % 33.37/9.34 | (330) ~ (all_0_44_44 = e0) % 33.37/9.34 | % 33.37/9.34 | Equations (324) can reduce 60 to: % 33.37/9.34 | (331) ~ (all_0_58_58 = e0) % 33.37/9.34 | % 33.37/9.34 | Simplifying 331 yields: % 33.37/9.34 | (332) ~ (all_0_58_58 = e0) % 33.37/9.34 | % 33.37/9.34 | From (324) and (80) follows: % 33.37/9.34 | (337) op(e0, e4) = all_0_3_3 % 33.37/9.34 | % 33.37/9.34 | From (324) and (179) follows: % 33.37/9.34 | (338) op(e0, e2) = all_0_4_4 % 33.37/9.34 | % 33.37/9.34 | From (324) and (148) follows: % 33.37/9.34 | (339) op(e4, e2) = e0 % 33.37/9.34 | % 33.37/9.34 +-Applying beta-rule and splitting (244), into two cases. % 33.37/9.34 |-Branch one: % 33.37/9.34 | (340) all_0_58_58 = e2 % 33.37/9.34 | % 33.37/9.34 | Equations (340) can reduce 178 to: % 33.37/9.34 | (377) ~ (all_0_57_57 = e2) % 33.37/9.34 | % 33.37/9.34 | Equations (340) can reduce 23 to: % 33.37/9.34 | (259) ~ (all_0_59_59 = e2) % 33.37/9.34 | % 33.37/9.34 | Simplifying 259 yields: % 33.37/9.34 | (260) ~ (all_0_59_59 = e2) % 33.37/9.34 | % 33.37/9.34 | Equations (340) can reduce 9 to: % 33.37/9.34 | (573) ~ (all_0_60_60 = e2) % 33.37/9.34 | % 33.37/9.34 | Simplifying 573 yields: % 33.37/9.34 | (571) ~ (all_0_60_60 = e2) % 33.37/9.34 | % 33.37/9.34 | Equations (340) can reduce 3161 to: % 33.37/9.34 | (261) ~ (e4 = e2) % 33.37/9.34 | % 33.37/9.34 | Simplifying 261 yields: % 33.37/9.34 | (231) ~ (e4 = e2) % 33.37/9.34 | % 33.37/9.34 | Equations (340) can reduce 31 to: % 33.37/9.34 | (144) ~ (e2 = e1) % 33.37/9.34 | % 33.37/9.34 | From (340) and (10) follows: % 33.37/9.34 | (12415) op(e2, e2) = all_0_36_36 % 33.37/9.34 | % 33.37/9.34 | From (340) and (46) follows: % 33.37/9.34 | (12416) op(e2, e0) = all_0_35_35 % 33.37/9.34 | % 33.37/9.34 | From (340) and (135) follows: % 33.37/9.34 | (663) op(e0, e2) = e2 % 33.37/9.34 | % 33.37/9.34 | Instantiating formula (29) with e2, e2, all_0_36_36, e3 and discharging atoms op(e2, e2) = all_0_36_36, op(e2, e2) = e3, yields: % 33.37/9.34 | (12418) all_0_36_36 = e3 % 33.37/9.34 | % 33.37/9.34 | Instantiating formula (29) with e2, e0, all_0_35_35, all_0_51_51 and discharging atoms op(e2, e0) = all_0_35_35, op(e2, e0) = all_0_51_51, yields: % 33.37/9.34 | (12419) all_0_35_35 = all_0_51_51 % 33.37/9.34 | % 33.37/9.34 | Instantiating formula (29) with e0, e4, all_0_3_3, all_0_56_56 and discharging atoms op(e0, e4) = all_0_3_3, op(e0, e4) = all_0_56_56, yields: % 33.37/9.34 | (355) all_0_3_3 = all_0_56_56 % 33.37/9.34 | % 33.37/9.34 | Instantiating formula (29) with e0, e2, e2, all_0_4_4 and discharging atoms op(e0, e2) = all_0_4_4, op(e0, e2) = e2, yields: % 33.37/9.34 | (12421) all_0_4_4 = e2 % 33.37/9.34 | % 33.37/9.34 | From (12418) and (12415) follows: % 33.37/9.34 | (83) op(e2, e2) = e3 % 33.37/9.34 | % 33.37/9.34 | From (12419) and (12416) follows: % 33.37/9.35 | (66) op(e2, e0) = all_0_51_51 % 33.37/9.35 | % 33.37/9.35 | From (355) and (337) follows: % 33.37/9.35 | (132) op(e0, e4) = all_0_56_56 % 33.37/9.35 | % 33.37/9.35 | From (12421) and (338) follows: % 33.37/9.35 | (663) op(e0, e2) = e2 % 33.37/9.35 | % 33.37/9.35 +-Applying beta-rule and splitting (183), into two cases. % 33.37/9.35 |-Branch one: % 33.37/9.35 | (287) all_0_45_45 = e0 % 33.37/9.35 | % 33.37/9.35 | Equations (287) can reduce 120 to: % 33.37/9.35 | (288) ~ (all_0_40_40 = e0) % 33.37/9.35 | % 33.37/9.35 | Equations (287) can reduce 118 to: % 33.37/9.35 | (289) ~ (all_0_47_47 = e0) % 33.37/9.35 | % 33.37/9.35 | Simplifying 289 yields: % 33.37/9.35 | (290) ~ (all_0_47_47 = e0) % 33.37/9.35 | % 33.37/9.35 | Equations (287) can reduce 214 to: % 33.37/9.35 | (291) ~ (all_0_48_48 = e0) % 33.37/9.35 | % 33.37/9.35 | Simplifying 291 yields: % 33.37/9.35 | (292) ~ (all_0_48_48 = e0) % 33.37/9.35 | % 33.37/9.35 | Equations (287) can reduce 162 to: % 33.37/9.35 | (293) ~ (all_0_52_52 = e0) % 33.37/9.35 | % 33.37/9.35 | Simplifying 293 yields: % 33.37/9.35 | (78) ~ (all_0_52_52 = e0) % 33.37/9.35 | % 33.37/9.35 | Equations (287) can reduce 182 to: % 33.37/9.35 | (295) ~ (all_0_56_56 = e0) % 33.37/9.35 | % 33.37/9.35 | Simplifying 295 yields: % 33.37/9.35 | (296) ~ (all_0_56_56 = e0) % 33.37/9.35 | % 33.37/9.35 | From (287) and (102) follows: % 33.37/9.35 | (299) op(e0, e4) = all_0_10_10 % 33.37/9.35 | % 33.37/9.35 | From (287) and (49) follows: % 33.37/9.35 | (300) op(e0, e3) = all_0_9_9 % 33.37/9.35 | % 33.37/9.35 | From (287) and (72) follows: % 33.37/9.35 | (301) op(e3, e4) = e0 % 33.37/9.35 | % 33.37/9.35 +-Applying beta-rule and splitting (133), into two cases. % 33.37/9.35 |-Branch one: % 33.37/9.35 | (302) all_0_47_47 = e2 % 33.37/9.35 | % 33.37/9.35 | Equations (302) can reduce 256 to: % 33.37/9.35 | (303) $false % 33.37/9.35 | % 33.37/9.35 |-The branch is then unsatisfiable % 33.37/9.35 |-Branch two: % 33.37/9.35 | (256) ~ (all_0_47_47 = e2) % 33.37/9.35 | (305) all_0_47_47 = e3 | all_0_47_47 = e0 % 33.37/9.35 | % 33.37/9.35 +-Applying beta-rule and splitting (305), into two cases. % 33.37/9.35 |-Branch one: % 33.37/9.35 | (306) all_0_47_47 = e0 % 33.37/9.35 | % 33.37/9.35 | Equations (306) can reduce 290 to: % 33.37/9.35 | (303) $false % 33.37/9.35 | % 33.37/9.35 |-The branch is then unsatisfiable % 33.37/9.35 |-Branch two: % 33.37/9.35 | (290) ~ (all_0_47_47 = e0) % 33.37/9.35 | (309) all_0_47_47 = e3 % 33.37/9.35 | % 33.37/9.35 | Equations (309) can reduce 52 to: % 33.37/9.35 | (310) ~ (all_0_44_44 = e3) % 33.37/9.35 | % 33.37/9.35 | Equations (309) can reduce 142 to: % 33.37/9.35 | (311) ~ (all_0_51_51 = e3) % 33.37/9.35 | % 33.37/9.35 | Simplifying 311 yields: % 33.37/9.35 | (32) ~ (all_0_51_51 = e3) % 33.37/9.35 | % 33.37/9.35 | Equations (309) can reduce 39 to: % 33.37/9.35 | (313) ~ (all_0_55_55 = e3) % 33.37/9.35 | % 33.37/9.35 | Simplifying 313 yields: % 33.37/9.35 | (314) ~ (all_0_55_55 = e3) % 33.37/9.35 | % 33.37/9.35 | Equations (309) can reduce 47 to: % 33.37/9.35 | (315) ~ (all_0_60_60 = e3) % 33.37/9.35 | % 33.37/9.35 | Simplifying 315 yields: % 33.37/9.35 | (316) ~ (all_0_60_60 = e3) % 33.37/9.35 | % 33.37/9.35 | Equations (309) can reduce 256 to: % 33.37/9.35 | (223) ~ (e3 = e2) % 33.37/9.35 | % 33.37/9.35 | Equations (309) can reduce 290 to: % 33.37/9.35 | (70) ~ (e3 = e0) % 33.37/9.35 | % 33.37/9.35 | From (309) and (68) follows: % 33.37/9.35 | (317) op(e3, e3) = all_0_13_13 % 33.37/9.35 | % 33.37/9.35 | Instantiating formula (29) with e3, e3, all_0_13_13, e4 and discharging atoms op(e3, e3) = all_0_13_13, op(e3, e3) = e4, yields: % 33.37/9.35 | (318) all_0_13_13 = e4 % 33.37/9.35 | % 33.37/9.35 | Instantiating formula (29) with e0, e4, all_0_10_10, all_0_56_56 and discharging atoms op(e0, e4) = all_0_10_10, op(e0, e4) = all_0_56_56, yields: % 33.37/9.35 | (319) all_0_10_10 = all_0_56_56 % 33.37/9.35 | % 33.37/9.35 | Instantiating formula (29) with e0, e3, all_0_9_9, all_0_57_57 and discharging atoms op(e0, e3) = all_0_9_9, op(e0, e3) = all_0_57_57, yields: % 33.37/9.35 | (320) all_0_9_9 = all_0_57_57 % 33.37/9.35 | % 33.37/9.35 | From (318) and (317) follows: % 33.37/9.35 | (22) op(e3, e3) = e4 % 33.37/9.35 | % 33.37/9.35 | From (319) and (299) follows: % 33.37/9.35 | (132) op(e0, e4) = all_0_56_56 % 33.37/9.35 | % 33.37/9.35 | From (320) and (300) follows: % 33.37/9.35 | (5) op(e0, e3) = all_0_57_57 % 33.37/9.35 | % 33.37/9.35 +-Applying beta-rule and splitting (88), into two cases. % 33.37/9.35 |-Branch one: % 33.37/9.35 | (364) all_0_50_50 = e2 % 33.37/9.35 | % 33.37/9.35 | Equations (364) can reduce 258 to: % 33.37/9.35 | (303) $false % 33.37/9.35 | % 33.37/9.35 |-The branch is then unsatisfiable % 33.37/9.35 |-Branch two: % 33.37/9.35 | (258) ~ (all_0_50_50 = e2) % 33.37/9.35 | (367) all_0_50_50 = e4 | all_0_50_50 = e1 % 33.37/9.35 | % 33.37/9.35 +-Applying beta-rule and splitting (153), into two cases. % 33.37/9.35 |-Branch one: % 33.37/9.35 | (932) all_0_55_55 = e2 % 33.37/9.35 | % 33.37/9.35 +-Applying beta-rule and splitting (56), into two cases. % 33.37/9.35 |-Branch one: % 33.37/9.35 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 33.37/9.35 | % 33.37/9.35 +-Applying beta-rule and splitting (480), into two cases. % 33.37/9.35 |-Branch one: % 33.37/9.35 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 33.37/9.35 | % 33.37/9.35 +-Applying beta-rule and splitting (481), into two cases. % 33.37/9.35 |-Branch one: % 33.37/9.35 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 33.37/9.35 | % 33.37/9.35 +-Applying beta-rule and splitting (482), into two cases. % 33.37/9.35 |-Branch one: % 33.37/9.35 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 33.37/9.35 | % 33.37/9.35 | Applying alpha-rule on (483) yields: % 33.37/9.35 | (484) ~ (unit = e4) % 33.37/9.35 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 33.37/9.35 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 33.37/9.35 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 33.37/9.35 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 33.37/9.35 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 33.37/9.35 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 33.37/9.35 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 33.37/9.35 | (492) ~ (all_0_55_55 = e4) % 33.37/9.35 | (493) all_0_45_45 = e3 % 33.37/9.35 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 33.37/9.35 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 33.37/9.35 | % 33.37/9.35 | Combining equations (287,493) yields a new equation: % 33.37/9.35 | (497) e3 = e0 % 33.37/9.35 | % 33.37/9.35 | Equations (497) can reduce 70 to: % 33.37/9.35 | (303) $false % 33.37/9.35 | % 33.37/9.35 |-The branch is then unsatisfiable % 33.37/9.35 |-Branch two: % 33.37/9.35 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 33.37/9.35 | % 33.37/9.35 | Applying alpha-rule on (499) yields: % 33.37/9.35 | (500) ~ (all_0_51_51 = e1) % 33.37/9.35 | (501) ~ (all_0_60_60 = e1) % 33.37/9.35 | (502) ~ (all_0_52_52 = e1) % 33.37/9.35 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 33.37/9.35 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 33.37/9.35 | (252) all_0_46_46 = e2 % 33.37/9.35 | (506) ~ (all_0_49_49 = e1) % 33.37/9.35 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 33.37/9.35 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 33.37/9.35 | (509) ~ (all_0_53_53 = e1) % 33.37/9.35 | (510) ~ (unit = e1) % 33.37/9.35 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 33.37/9.35 | (512) ~ (all_0_44_44 = e1) % 33.37/9.35 | % 33.37/9.35 +-Applying beta-rule and splitting (85), into two cases. % 33.37/9.35 |-Branch one: % 33.37/9.35 | (1070) all_0_52_52 = e1 % 33.37/9.35 | % 33.37/9.35 | Equations (1070) can reduce 502 to: % 33.37/9.35 | (303) $false % 33.37/9.35 | % 33.37/9.35 |-The branch is then unsatisfiable % 33.37/9.35 |-Branch two: % 33.37/9.35 | (502) ~ (all_0_52_52 = e1) % 33.37/9.35 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 33.37/9.35 | % 33.37/9.35 +-Applying beta-rule and splitting (1073), into two cases. % 33.37/9.35 |-Branch one: % 33.37/9.35 | (462) all_0_53_53 = e1 % 33.37/9.35 | % 33.37/9.35 | Equations (462) can reduce 509 to: % 33.37/9.35 | (303) $false % 33.37/9.35 | % 33.37/9.35 |-The branch is then unsatisfiable % 33.37/9.35 |-Branch two: % 33.37/9.35 | (509) ~ (all_0_53_53 = e1) % 33.37/9.35 | (530) all_0_55_55 = e1 % 33.37/9.35 | % 33.37/9.35 | Combining equations (932,530) yields a new equation: % 33.37/9.35 | (584) e2 = e1 % 33.37/9.35 | % 33.37/9.35 | Simplifying 584 yields: % 33.37/9.35 | (585) e2 = e1 % 33.37/9.35 | % 33.37/9.35 | Equations (585) can reduce 144 to: % 33.37/9.35 | (303) $false % 33.37/9.35 | % 33.37/9.35 |-The branch is then unsatisfiable % 33.37/9.35 |-Branch two: % 33.37/9.35 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 33.37/9.35 | % 33.37/9.35 | Applying alpha-rule on (514) yields: % 33.37/9.35 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 33.37/9.35 | (516) ~ (all_0_47_47 = e3) % 33.37/9.35 | (314) ~ (all_0_55_55 = e3) % 33.37/9.35 | (368) all_0_49_49 = e2 % 33.37/9.35 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 33.37/9.35 | (520) ~ (unit = e3) % 33.37/9.35 | (521) ~ (all_0_52_52 = e3) % 33.37/9.35 | (455) ~ (all_0_46_46 = e3) % 33.37/9.35 | (432) ~ (all_0_40_40 = e3) % 33.37/9.35 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 33.37/9.35 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 33.37/9.35 | (526) ~ (all_0_56_56 = e3) % 33.37/9.35 | % 33.37/9.35 | Equations (309) can reduce 516 to: % 33.37/9.35 | (303) $false % 33.37/9.35 | % 33.37/9.35 |-The branch is then unsatisfiable % 33.37/9.35 |-Branch two: % 33.37/9.35 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 33.37/9.35 | % 33.37/9.35 | Applying alpha-rule on (528) yields: % 33.37/9.35 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 33.37/9.35 | (530) all_0_55_55 = e1 % 33.37/9.35 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 33.37/9.35 | (387) ~ (all_0_49_49 = e0) % 33.37/9.35 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 33.37/9.35 | (534) ~ (all_0_45_45 = e0) % 33.37/9.35 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 33.37/9.35 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 33.37/9.35 | (537) ~ (unit = e0) % 33.37/9.35 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 33.37/9.35 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 33.37/9.35 | % 33.37/9.35 | Combining equations (932,530) yields a new equation: % 33.37/9.35 | (584) e2 = e1 % 33.37/9.35 | % 33.37/9.35 | Simplifying 584 yields: % 33.37/9.35 | (585) e2 = e1 % 33.37/9.35 | % 33.37/9.35 | Equations (585) can reduce 144 to: % 33.37/9.35 | (303) $false % 33.37/9.35 | % 33.37/9.35 |-The branch is then unsatisfiable % 33.37/9.35 |-Branch two: % 33.37/9.35 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 33.37/9.35 | % 33.37/9.35 | Applying alpha-rule on (543) yields: % 33.37/9.35 | (544) ~ (all_0_48_48 = e2) % 33.37/9.35 | (369) ~ (all_0_41_41 = e2) % 33.37/9.35 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 33.37/9.35 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 33.37/9.35 | (253) ~ (all_0_43_43 = e2) % 33.37/9.35 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 33.37/9.35 | (276) ~ (all_0_55_55 = e2) % 33.37/9.35 | (260) ~ (all_0_59_59 = e2) % 33.37/9.35 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 33.37/9.35 | (274) ~ (all_0_53_53 = e2) % 33.37/9.35 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 33.37/9.35 | (373) ~ (all_0_51_51 = e2) % 33.37/9.35 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 33.37/9.35 | (256) ~ (all_0_47_47 = e2) % 33.37/9.35 | (377) ~ (all_0_57_57 = e2) % 33.37/9.35 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 33.37/9.35 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 33.37/9.35 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 33.37/9.35 | (258) ~ (all_0_50_50 = e2) % 33.37/9.35 | (254) ~ (all_0_45_45 = e2) % 33.37/9.35 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 33.37/9.35 | % 33.37/9.35 | Equations (932) can reduce 276 to: % 33.37/9.35 | (303) $false % 33.37/9.35 | % 33.37/9.35 |-The branch is then unsatisfiable % 33.37/9.35 |-Branch two: % 33.37/9.35 | (276) ~ (all_0_55_55 = e2) % 33.37/9.35 | (1809) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 % 33.37/9.35 | % 33.37/9.35 +-Applying beta-rule and splitting (1809), into two cases. % 33.37/9.35 |-Branch one: % 33.37/9.35 | (473) all_0_55_55 = e4 % 33.37/9.35 | % 33.37/9.35 | Equations (473) can reduce 492 to: % 33.37/9.35 | (303) $false % 33.37/9.35 | % 33.37/9.35 |-The branch is then unsatisfiable % 33.37/9.35 |-Branch two: % 33.37/9.35 | (492) ~ (all_0_55_55 = e4) % 33.37/9.35 | (4636) all_0_55_55 = e3 | all_0_55_55 = e1 % 33.37/9.35 | % 33.37/9.35 +-Applying beta-rule and splitting (4636), into two cases. % 33.37/9.35 |-Branch one: % 33.37/9.35 | (530) all_0_55_55 = e1 % 33.37/9.35 | % 33.37/9.35 | Equations (530) can reduce 159 to: % 33.37/9.35 | (1050) ~ (all_0_60_60 = e1) % 33.37/9.35 | % 33.37/9.35 | Simplifying 1050 yields: % 33.37/9.35 | (501) ~ (all_0_60_60 = e1) % 33.37/9.35 | % 33.37/9.35 | Equations (530) can reduce 492 to: % 33.37/9.35 | (605) ~ (e4 = e1) % 33.37/9.35 | % 33.37/9.35 | Simplifying 605 yields: % 33.37/9.35 | (247) ~ (e4 = e1) % 33.37/9.35 | % 33.37/9.35 | Equations (530) can reduce 314 to: % 33.37/9.35 | (465) ~ (e3 = e1) % 33.37/9.35 | % 33.37/9.35 | Simplifying 465 yields: % 33.37/9.35 | (136) ~ (e3 = e1) % 33.37/9.35 | % 33.37/9.35 | Equations (530) can reduce 276 to: % 33.37/9.35 | (565) ~ (e2 = e1) % 33.37/9.35 | % 33.37/9.35 | Simplifying 565 yields: % 33.37/9.35 | (144) ~ (e2 = e1) % 33.37/9.35 | % 33.37/9.35 +-Applying beta-rule and splitting (213), into two cases. % 33.37/9.35 |-Branch one: % 33.37/9.35 | (360) all_0_53_53 = e2 % 33.37/9.35 | % 33.37/9.35 | Equations (360) can reduce 121 to: % 33.37/9.35 | (369) ~ (all_0_41_41 = e2) % 33.37/9.35 | % 33.37/9.35 | Equations (360) can reduce 7 to: % 33.37/9.35 | (2167) ~ (all_0_49_49 = e2) % 33.37/9.35 | % 33.37/9.35 | Equations (360) can reduce 251 to: % 33.37/9.35 | (376) ~ (all_0_57_57 = e2) % 33.37/9.35 | % 33.37/9.35 | Simplifying 376 yields: % 33.37/9.35 | (377) ~ (all_0_57_57 = e2) % 33.37/9.35 | % 33.37/9.35 | Equations (360) can reduce 229 to: % 33.37/9.35 | (261) ~ (e4 = e2) % 33.37/9.35 | % 33.37/9.35 | Simplifying 261 yields: % 33.37/9.35 | (231) ~ (e4 = e2) % 33.37/9.35 | % 33.37/9.35 | From (360) and (242) follows: % 33.37/9.35 | (12585) op(e2, e3) = all_0_26_26 % 33.37/9.35 | % 33.37/9.35 | From (360) and (224) follows: % 33.37/9.35 | (12586) op(e1, e3) = e2 % 33.37/9.35 | % 33.37/9.35 +-Applying beta-rule and splitting (64), into two cases. % 33.37/9.35 |-Branch one: % 33.37/9.35 | (425) all_0_52_52 = e3 % 33.37/9.35 | % 33.37/9.35 | Equations (425) can reduce 188 to: % 33.37/9.35 | (432) ~ (all_0_40_40 = e3) % 33.37/9.35 | % 33.37/9.35 | Equations (425) can reduce 108 to: % 33.37/9.35 | (34) ~ (all_0_48_48 = e3) % 33.37/9.35 | % 33.37/9.35 | Equations (425) can reduce 149 to: % 33.37/9.35 | (2285) ~ (all_0_56_56 = e3) % 33.37/9.35 | % 33.37/9.35 | Simplifying 2285 yields: % 33.37/9.35 | (526) ~ (all_0_56_56 = e3) % 33.37/9.35 | % 33.37/9.35 | Equations (425) can reduce 78 to: % 33.37/9.35 | (70) ~ (e3 = e0) % 33.37/9.35 | % 33.37/9.35 | From (425) and (45) follows: % 33.37/9.35 | (3339) op(e3, e4) = all_0_24_24 % 33.37/9.35 | % 33.37/9.35 | From (425) and (152) follows: % 33.37/9.35 | (430) op(e1, e4) = e3 % 33.37/9.35 | % 33.37/9.35 +-Applying beta-rule and splitting (56), into two cases. % 33.37/9.35 |-Branch one: % 33.37/9.35 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 33.37/9.35 | % 33.37/9.35 +-Applying beta-rule and splitting (480), into two cases. % 33.37/9.35 |-Branch one: % 33.37/9.35 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 33.37/9.36 | % 33.37/9.36 +-Applying beta-rule and splitting (481), into two cases. % 33.37/9.36 |-Branch one: % 33.37/9.36 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 33.37/9.36 | % 33.37/9.36 +-Applying beta-rule and splitting (482), into two cases. % 33.37/9.36 |-Branch one: % 33.37/9.36 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 33.37/9.36 | % 33.37/9.36 | Applying alpha-rule on (483) yields: % 33.37/9.36 | (484) ~ (unit = e4) % 33.37/9.36 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 33.37/9.36 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 33.37/9.36 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 33.37/9.36 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 33.37/9.36 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 33.37/9.36 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 33.37/9.36 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 33.37/9.36 | (492) ~ (all_0_55_55 = e4) % 33.37/9.36 | (493) all_0_45_45 = e3 % 33.37/9.36 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 33.37/9.36 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 33.37/9.36 | % 33.37/9.36 | Combining equations (287,493) yields a new equation: % 33.37/9.36 | (497) e3 = e0 % 33.37/9.36 | % 33.37/9.36 | Equations (497) can reduce 70 to: % 33.37/9.36 | (303) $false % 33.37/9.36 | % 33.37/9.36 |-The branch is then unsatisfiable % 33.37/9.36 |-Branch two: % 33.37/9.36 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 33.37/9.36 | % 33.37/9.36 | Applying alpha-rule on (499) yields: % 33.37/9.36 | (500) ~ (all_0_51_51 = e1) % 33.37/9.36 | (501) ~ (all_0_60_60 = e1) % 33.37/9.36 | (502) ~ (all_0_52_52 = e1) % 33.37/9.36 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 33.37/9.36 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 33.37/9.36 | (252) all_0_46_46 = e2 % 33.37/9.36 | (506) ~ (all_0_49_49 = e1) % 33.37/9.36 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 33.37/9.36 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 33.37/9.36 | (509) ~ (all_0_53_53 = e1) % 33.37/9.36 | (510) ~ (unit = e1) % 33.37/9.36 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 33.37/9.36 | (512) ~ (all_0_44_44 = e1) % 33.37/9.36 | % 33.37/9.36 | Equations (360) can reduce 509 to: % 33.37/9.36 | (144) ~ (e2 = e1) % 33.37/9.36 | % 33.37/9.36 +-Applying beta-rule and splitting (114), into two cases. % 33.37/9.36 |-Branch one: % 33.37/9.36 | (368) all_0_49_49 = e2 % 33.37/9.36 | % 33.37/9.36 | Equations (368) can reduce 2167 to: % 33.37/9.36 | (303) $false % 33.37/9.36 | % 33.37/9.36 |-The branch is then unsatisfiable % 33.37/9.36 |-Branch two: % 33.37/9.36 | (2167) ~ (all_0_49_49 = e2) % 33.37/9.36 | (2168) all_0_49_49 = e1 | all_0_49_49 = e0 % 33.37/9.36 | % 33.37/9.36 +-Applying beta-rule and splitting (2168), into two cases. % 33.37/9.36 |-Branch one: % 33.37/9.36 | (1580) all_0_49_49 = e1 % 33.37/9.36 | % 33.37/9.36 | Equations (1580) can reduce 506 to: % 33.37/9.36 | (303) $false % 33.37/9.36 | % 33.37/9.36 |-The branch is then unsatisfiable % 33.37/9.36 |-Branch two: % 33.37/9.36 | (506) ~ (all_0_49_49 = e1) % 33.37/9.36 | (384) all_0_49_49 = e0 % 33.37/9.36 | % 33.37/9.36 | Equations (384) can reduce 177 to: % 33.37/9.36 | (326) ~ (all_0_41_41 = e0) % 33.37/9.36 | % 33.37/9.36 | Equations (384) can reduce 58 to: % 33.37/9.36 | (292) ~ (all_0_48_48 = e0) % 33.37/9.36 | % 33.37/9.36 | Equations (384) can reduce 37 to: % 33.37/9.36 | (6386) ~ (all_0_50_50 = e0) % 33.37/9.36 | % 33.37/9.36 | Simplifying 6386 yields: % 33.37/9.36 | (207) ~ (all_0_50_50 = e0) % 33.37/9.36 | % 33.37/9.36 | Equations (384) can reduce 226 to: % 33.37/9.36 | (2272) ~ (all_0_57_57 = e0) % 33.37/9.36 | % 33.37/9.36 | Simplifying 2272 yields: % 33.37/9.36 | (2273) ~ (all_0_57_57 = e0) % 33.37/9.36 | % 33.37/9.36 | Equations (384) can reduce 215 to: % 33.37/9.36 | (297) ~ (e4 = e0) % 33.37/9.36 | % 33.37/9.36 | Simplifying 297 yields: % 33.37/9.36 | (4) ~ (e4 = e0) % 33.37/9.36 | % 33.37/9.36 | Equations (384) can reduce 2167 to: % 33.37/9.36 | (335) ~ (e2 = e0) % 33.37/9.36 | % 33.37/9.36 | Simplifying 335 yields: % 33.37/9.36 | (51) ~ (e2 = e0) % 33.37/9.36 | % 33.37/9.36 | From (384) and (65) follows: % 33.37/9.36 | (2548) op(e0, e3) = all_0_18_18 % 33.37/9.36 | % 33.37/9.36 | From (384) and (113) follows: % 33.37/9.36 | (2549) op(e0, e2) = all_0_17_17 % 33.37/9.36 | % 33.37/9.36 | From (384) and (94) follows: % 33.37/9.36 | (2550) op(e2, e3) = e0 % 33.37/9.36 | % 33.37/9.36 +-Applying beta-rule and splitting (50), into two cases. % 33.37/9.36 |-Branch one: % 33.37/9.36 | (2307) all_0_56_56 = e0 % 33.37/9.36 | % 33.37/9.36 | Equations (2307) can reduce 296 to: % 33.37/9.36 | (303) $false % 33.37/9.36 | % 33.37/9.36 |-The branch is then unsatisfiable % 33.37/9.36 |-Branch two: % 33.37/9.36 | (296) ~ (all_0_56_56 = e0) % 33.37/9.36 | (2310) all_0_57_57 = e0 | all_0_58_58 = e0 | all_0_60_60 = e0 % 33.37/9.36 | % 33.37/9.36 +-Applying beta-rule and splitting (2310), into two cases. % 33.37/9.36 |-Branch one: % 33.37/9.36 | (407) all_0_57_57 = e0 % 33.37/9.36 | % 33.37/9.36 | Equations (407) can reduce 2273 to: % 33.37/9.36 | (303) $false % 33.37/9.36 | % 33.37/9.36 |-The branch is then unsatisfiable % 33.37/9.36 |-Branch two: % 33.37/9.36 | (2273) ~ (all_0_57_57 = e0) % 33.37/9.36 | (2314) all_0_58_58 = e0 | all_0_60_60 = e0 % 33.37/9.36 | % 33.37/9.36 +-Applying beta-rule and splitting (2314), into two cases. % 33.37/9.36 |-Branch one: % 33.37/9.36 | (989) all_0_58_58 = e0 % 33.37/9.36 | % 33.37/9.36 | Combining equations (340,989) yields a new equation: % 33.37/9.36 | (403) e2 = e0 % 33.37/9.36 | % 33.37/9.36 | Simplifying 403 yields: % 33.37/9.36 | (385) e2 = e0 % 33.37/9.36 | % 33.37/9.36 | Equations (385) can reduce 51 to: % 33.37/9.36 | (303) $false % 33.37/9.36 | % 33.37/9.36 |-The branch is then unsatisfiable % 33.37/9.36 |-Branch two: % 33.37/9.36 | (332) ~ (all_0_58_58 = e0) % 33.37/9.36 | (1934) all_0_60_60 = e0 % 33.37/9.36 | % 33.37/9.36 | Equations (1934) can reduce 95 to: % 33.37/9.36 | (2347) ~ (all_0_51_51 = e0) % 33.37/9.36 | % 33.37/9.36 | Equations (1934) can reduce 174 to: % 33.37/9.36 | (296) ~ (all_0_56_56 = e0) % 33.37/9.36 | % 33.37/9.36 | Equations (1934) can reduce 81 to: % 33.37/9.36 | (2273) ~ (all_0_57_57 = e0) % 33.37/9.36 | % 33.37/9.36 | Equations (1934) can reduce 164 to: % 33.37/9.36 | (216) ~ (all_0_59_59 = e0) % 33.37/9.36 | % 33.37/9.36 | Equations (1934) can reduce 571 to: % 33.37/9.36 | (335) ~ (e2 = e0) % 33.37/9.36 | % 33.37/9.36 | Simplifying 335 yields: % 33.37/9.36 | (51) ~ (e2 = e0) % 33.37/9.36 | % 33.37/9.36 | Equations (1934) can reduce 501 to: % 33.37/9.36 | (661) ~ (e1 = e0) % 33.37/9.36 | % 33.37/9.36 | Simplifying 661 yields: % 33.37/9.36 | (134) ~ (e1 = e0) % 33.37/9.36 | % 33.37/9.36 | Instantiating formula (29) with e3, e4, all_0_24_24, e0 and discharging atoms op(e3, e4) = all_0_24_24, op(e3, e4) = e0, yields: % 33.37/9.36 | (3590) all_0_24_24 = e0 % 33.37/9.36 | % 33.37/9.36 | Instantiating formula (29) with e2, e3, e0, all_0_26_26 and discharging atoms op(e2, e3) = all_0_26_26, op(e2, e3) = e0, yields: % 33.37/9.36 | (12672) all_0_26_26 = e0 % 33.37/9.36 | % 33.37/9.36 | Instantiating formula (29) with e0, e3, all_0_18_18, all_0_57_57 and discharging atoms op(e0, e3) = all_0_18_18, op(e0, e3) = all_0_57_57, yields: % 33.37/9.36 | (2625) all_0_18_18 = all_0_57_57 % 33.37/9.36 | % 33.37/9.36 | Instantiating formula (29) with e0, e2, all_0_17_17, e2 and discharging atoms op(e0, e2) = all_0_17_17, op(e0, e2) = e2, yields: % 33.37/9.36 | (12674) all_0_17_17 = e2 % 33.37/9.36 | % 33.37/9.36 | From (3590) and (3339) follows: % 33.37/9.36 | (301) op(e3, e4) = e0 % 33.37/9.36 | % 33.37/9.36 | From (12672) and (12585) follows: % 33.37/9.36 | (2550) op(e2, e3) = e0 % 33.37/9.36 | % 33.37/9.36 | From (12674) and (2549) follows: % 33.37/9.36 | (663) op(e0, e2) = e2 % 33.37/9.36 | % 33.37/9.36 +-Applying beta-rule and splitting (97), into two cases. % 33.37/9.36 |-Branch one: % 33.37/9.36 | (727) all_0_48_48 = e2 % 33.37/9.36 | % 33.37/9.36 | Equations (727) can reduce 53 to: % 33.37/9.36 | (939) ~ (all_0_40_40 = e2) % 33.37/9.36 | % 33.37/9.36 | Equations (727) can reduce 48 to: % 33.37/9.36 | (257) ~ (all_0_50_50 = e2) % 33.37/9.36 | % 33.37/9.36 | Simplifying 257 yields: % 33.37/9.36 | (258) ~ (all_0_50_50 = e2) % 33.37/9.36 | % 33.37/9.36 | Equations (727) can reduce 127 to: % 33.37/9.36 | (372) ~ (all_0_51_51 = e2) % 33.37/9.36 | % 33.37/9.36 | Simplifying 372 yields: % 33.37/9.36 | (373) ~ (all_0_51_51 = e2) % 33.37/9.36 | % 33.37/9.36 | Equations (727) can reduce 2 to: % 33.37/9.36 | (2174) ~ (all_0_56_56 = e2) % 33.37/9.36 | % 33.37/9.36 | Simplifying 2174 yields: % 33.37/9.36 | (594) ~ (all_0_56_56 = e2) % 33.37/9.36 | % 33.37/9.36 | Equations (727) can reduce 34 to: % 33.37/9.36 | (577) ~ (e3 = e2) % 33.37/9.36 | % 33.37/9.36 | Simplifying 577 yields: % 33.37/9.36 | (223) ~ (e3 = e2) % 33.37/9.36 | % 33.37/9.36 | Equations (727) can reduce 292 to: % 33.37/9.36 | (51) ~ (e2 = e0) % 33.37/9.36 | % 33.37/9.36 | From (727) and (187) follows: % 33.37/9.36 | (8209) op(e2, e4) = all_0_16_16 % 33.37/9.36 | % 33.37/9.36 | From (727) and (103) follows: % 33.37/9.36 | (8210) op(e2, e2) = all_0_15_15 % 33.37/9.36 | % 33.37/9.36 | From (727) and (105) follows: % 33.37/9.36 | (637) op(e2, e4) = e2 % 33.37/9.36 | % 33.37/9.36 +-Applying beta-rule and splitting (166), into two cases. % 33.37/9.36 |-Branch one: % 33.37/9.36 | (927) all_0_51_51 = e2 % 33.37/9.36 | % 33.37/9.36 | Equations (927) can reduce 373 to: % 33.37/9.36 | (303) $false % 33.37/9.36 | % 33.37/9.36 |-The branch is then unsatisfiable % 33.37/9.36 |-Branch two: % 33.37/9.36 | (373) ~ (all_0_51_51 = e2) % 33.37/9.36 | (6448) all_0_51_51 = e4 | all_0_51_51 = e1 | all_0_51_51 = e0 % 33.37/9.36 | % 33.37/9.36 +-Applying beta-rule and splitting (228), into two cases. % 33.37/9.36 |-Branch one: % 33.37/9.36 | (748) all_0_48_48 = e1 % 33.37/9.36 | % 33.37/9.36 | Combining equations (727,748) yields a new equation: % 33.37/9.36 | (584) e2 = e1 % 33.37/9.36 | % 33.37/9.36 | Simplifying 584 yields: % 33.37/9.36 | (585) e2 = e1 % 33.37/9.36 | % 33.37/9.36 | Equations (585) can reduce 144 to: % 33.37/9.36 | (303) $false % 33.37/9.36 | % 33.37/9.36 |-The branch is then unsatisfiable % 33.37/9.36 |-Branch two: % 33.37/9.36 | (802) ~ (all_0_48_48 = e1) % 33.37/9.36 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 33.37/9.36 | % 33.37/9.36 +-Applying beta-rule and splitting (6448), into two cases. % 33.37/9.36 |-Branch one: % 33.37/9.36 | (1501) all_0_51_51 = e4 % 33.37/9.36 | % 33.37/9.36 | Equations (1501) can reduce 161 to: % 33.37/9.36 | (474) ~ (all_0_44_44 = e4) % 33.37/9.36 | % 33.37/9.36 | Equations (1501) can reduce 32 to: % 33.37/9.36 | (30) ~ (e4 = e3) % 33.37/9.36 | % 33.37/9.36 | Equations (1501) can reduce 373 to: % 33.37/9.36 | (231) ~ (e4 = e2) % 33.37/9.36 | % 33.37/9.36 | Equations (1501) can reduce 500 to: % 33.37/9.36 | (247) ~ (e4 = e1) % 33.37/9.36 | % 33.37/9.37 | Equations (1501) can reduce 2347 to: % 33.37/9.37 | (4) ~ (e4 = e0) % 33.37/9.37 | % 33.37/9.37 | From (1501) and (66) follows: % 33.37/9.37 | (10154) op(e2, e0) = e4 % 33.37/9.37 | % 33.37/9.37 +-Applying beta-rule and splitting (803), into two cases. % 33.37/9.37 |-Branch one: % 33.37/9.37 | (1580) all_0_49_49 = e1 % 33.37/9.37 | % 33.37/9.37 | Combining equations (384,1580) yields a new equation: % 33.37/9.37 | (590) e1 = e0 % 33.37/9.37 | % 33.37/9.37 | Equations (590) can reduce 134 to: % 33.37/9.37 | (303) $false % 33.37/9.37 | % 33.37/9.37 |-The branch is then unsatisfiable % 33.37/9.37 |-Branch two: % 33.37/9.37 | (506) ~ (all_0_49_49 = e1) % 33.37/9.37 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 33.37/9.37 | % 33.37/9.37 +-Applying beta-rule and splitting (112), into two cases. % 33.37/9.37 |-Branch one: % 33.37/9.37 | (572) all_0_44_44 = e2 % 33.37/9.37 | % 33.37/9.37 | Equations (572) can reduce 176 to: % 33.37/9.37 | (369) ~ (all_0_41_41 = e2) % 33.37/9.37 | % 33.37/9.37 | Equations (572) can reduce 82 to: % 33.37/9.37 | (253) ~ (all_0_43_43 = e2) % 33.37/9.37 | % 33.37/9.37 | Equations (572) can reduce 474 to: % 33.37/9.37 | (261) ~ (e4 = e2) % 33.37/9.37 | % 33.37/9.37 | Simplifying 261 yields: % 33.37/9.37 | (231) ~ (e4 = e2) % 33.37/9.37 | % 33.37/9.37 | Equations (572) can reduce 310 to: % 33.37/9.37 | (577) ~ (e3 = e2) % 33.37/9.37 | % 33.37/9.37 | Simplifying 577 yields: % 33.37/9.37 | (223) ~ (e3 = e2) % 33.37/9.37 | % 33.37/9.37 | From (572) and (235) follows: % 33.37/9.37 | (11400) op(e2, e4) = all_0_7_7 % 33.37/9.37 | % 33.37/9.37 | From (572) and (128) follows: % 33.37/9.37 | (11401) op(e2, e0) = all_0_8_8 % 33.37/9.37 | % 33.37/9.37 +-Applying beta-rule and splitting (1585), into two cases. % 33.37/9.37 |-Branch one: % 33.37/9.37 | (627) all_0_50_50 = e1 % 33.37/9.37 | % 33.37/9.37 | Equations (627) can reduce 238 to: % 33.37/9.37 | (622) ~ (all_0_43_43 = e1) % 33.37/9.37 | % 33.37/9.37 | Equations (627) can reduce 126 to: % 33.37/9.37 | (3274) ~ (all_0_59_59 = e1) % 33.37/9.37 | % 33.37/9.37 | Simplifying 3274 yields: % 33.37/9.37 | (603) ~ (all_0_59_59 = e1) % 33.37/9.37 | % 33.37/9.37 | Equations (627) can reduce 258 to: % 33.37/9.37 | (565) ~ (e2 = e1) % 33.37/9.37 | % 33.37/9.37 | Simplifying 565 yields: % 33.37/9.37 | (144) ~ (e2 = e1) % 33.37/9.37 | % 33.37/9.37 | Equations (627) can reduce 207 to: % 33.37/9.37 | (134) ~ (e1 = e0) % 33.37/9.37 | % 33.37/9.37 | Instantiating formula (29) with e2, e4, all_0_16_16, all_0_7_7 and discharging atoms op(e2, e4) = all_0_7_7, op(e2, e4) = all_0_16_16, yields: % 33.37/9.37 | (11405) all_0_7_7 = all_0_16_16 % 33.37/9.37 | % 33.37/9.37 | Instantiating formula (29) with e2, e4, e2, all_0_7_7 and discharging atoms op(e2, e4) = all_0_7_7, op(e2, e4) = e2, yields: % 33.37/9.37 | (5545) all_0_7_7 = e2 % 33.37/9.37 | % 33.37/9.37 | Instantiating formula (29) with e2, e2, all_0_15_15, e3 and discharging atoms op(e2, e2) = all_0_15_15, op(e2, e2) = e3, yields: % 33.37/9.37 | (8454) all_0_15_15 = e3 % 33.37/9.37 | % 33.37/9.37 | Instantiating formula (29) with e2, e0, e4, all_0_8_8 and discharging atoms op(e2, e0) = all_0_8_8, op(e2, e0) = e4, yields: % 33.37/9.37 | (3534) all_0_8_8 = e4 % 33.37/9.37 | % 33.37/9.37 | Combining equations (11405,5545) yields a new equation: % 33.37/9.37 | (12734) all_0_16_16 = e2 % 33.37/9.37 | % 33.37/9.37 | Simplifying 12734 yields: % 33.37/9.37 | (3558) all_0_16_16 = e2 % 33.37/9.37 | % 33.37/9.37 | From (3558) and (8209) follows: % 33.37/9.37 | (637) op(e2, e4) = e2 % 33.37/9.37 | % 33.37/9.37 | From (8454) and (8210) follows: % 33.37/9.37 | (83) op(e2, e2) = e3 % 33.37/9.37 | % 33.37/9.37 | From (3534) and (11401) follows: % 33.37/9.37 | (10154) op(e2, e0) = e4 % 33.37/9.37 | % 33.37/9.37 +-Applying beta-rule and splitting (137), into two cases. % 33.37/9.37 |-Branch one: % 33.37/9.37 | (447) all_0_43_43 = e3 % 33.37/9.37 | % 33.37/9.37 | Equations (447) can reduce 43 to: % 33.37/9.37 | (996) ~ (all_0_41_41 = e3) % 33.37/9.37 | % 33.37/9.37 | Equations (447) can reduce 253 to: % 33.37/9.37 | (223) ~ (e3 = e2) % 33.37/9.37 | % 33.37/9.37 +-Applying beta-rule and splitting (139), into two cases. % 33.37/9.37 |-Branch one: % 33.37/9.37 | (614) all_0_43_43 = e4 % 33.37/9.37 | % 33.37/9.37 | Combining equations (614,447) yields a new equation: % 33.37/9.37 | (718) e4 = e3 % 33.37/9.37 | % 33.37/9.37 | Simplifying 718 yields: % 33.37/9.37 | (443) e4 = e3 % 33.37/9.37 | % 33.37/9.37 | Equations (443) can reduce 30 to: % 33.37/9.37 | (303) $false % 33.37/9.37 | % 33.37/9.37 |-The branch is then unsatisfiable % 33.37/9.37 |-Branch two: % 33.37/9.37 | (712) ~ (all_0_43_43 = e4) % 33.37/9.37 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 33.37/9.37 | % 33.37/9.37 +-Applying beta-rule and splitting (237), into two cases. % 33.37/9.37 |-Branch one: % 33.37/9.37 | (431) all_0_41_41 = e3 % 33.37/9.37 | % 33.37/9.37 | Equations (431) can reduce 996 to: % 33.37/9.37 | (303) $false % 33.37/9.37 | % 33.37/9.37 |-The branch is then unsatisfiable % 33.37/9.37 |-Branch two: % 33.37/9.37 | (996) ~ (all_0_41_41 = e3) % 33.37/9.37 | (997) all_0_53_53 = e3 | all_0_57_57 = e3 % 33.37/9.37 | % 33.37/9.37 +-Applying beta-rule and splitting (180), into two cases. % 33.37/9.37 |-Branch one: % 33.37/9.37 | (945) all_0_41_41 = e2 % 33.37/9.37 | % 33.37/9.37 | Equations (945) can reduce 369 to: % 33.37/9.37 | (303) $false % 33.37/9.37 | % 33.37/9.37 |-The branch is then unsatisfiable % 33.37/9.37 |-Branch two: % 33.37/9.37 | (369) ~ (all_0_41_41 = e2) % 33.37/9.37 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 33.37/9.37 | % 33.37/9.37 +-Applying beta-rule and splitting (997), into two cases. % 33.37/9.37 |-Branch one: % 33.37/9.37 | (994) all_0_53_53 = e3 % 33.37/9.37 | % 33.37/9.37 | Combining equations (994,360) yields a new equation: % 33.37/9.37 | (452) e3 = e2 % 33.37/9.37 | % 33.37/9.37 | Simplifying 452 yields: % 33.37/9.37 | (453) e3 = e2 % 33.37/9.37 | % 33.37/9.37 | Equations (453) can reduce 223 to: % 33.37/9.37 | (303) $false % 33.37/9.37 | % 33.37/9.37 |-The branch is then unsatisfiable % 33.37/9.37 |-Branch two: % 33.37/9.37 | (428) ~ (all_0_53_53 = e3) % 33.37/9.37 | (1001) all_0_57_57 = e3 % 33.37/9.37 | % 33.37/9.37 | Equations (1001) can reduce 11 to: % 33.37/9.37 | (996) ~ (all_0_41_41 = e3) % 33.37/9.37 | % 33.37/9.37 | Equations (1001) can reduce 172 to: % 33.37/9.37 | (526) ~ (all_0_56_56 = e3) % 33.37/9.37 | % 33.37/9.37 | Equations (1001) can reduce 202 to: % 33.37/9.37 | (439) ~ (e4 = e3) % 33.37/9.37 | % 33.37/9.37 | Simplifying 439 yields: % 33.37/9.37 | (30) ~ (e4 = e3) % 33.37/9.37 | % 33.37/9.37 +-Applying beta-rule and splitting (1017), into two cases. % 33.37/9.37 |-Branch one: % 33.37/9.37 | (696) all_0_41_41 = e1 % 33.37/9.37 | % 33.37/9.37 | Equations (696) can reduce 151 to: % 33.37/9.37 | (683) ~ (all_0_40_40 = e1) % 33.37/9.37 | % 33.37/9.37 | Equations (696) can reduce 996 to: % 33.37/9.37 | (465) ~ (e3 = e1) % 33.37/9.37 | % 33.37/9.37 | Simplifying 465 yields: % 33.37/9.37 | (136) ~ (e3 = e1) % 33.37/9.37 | % 33.37/9.37 | Equations (696) can reduce 326 to: % 33.37/9.37 | (134) ~ (e1 = e0) % 33.37/9.37 | % 33.37/9.37 +-Applying beta-rule and splitting (21), into two cases. % 33.37/9.37 |-Branch one: % 33.37/9.37 | (723) all_0_40_40 = e4 % 33.37/9.37 | % 33.37/9.37 | Equations (723) can reduce 683 to: % 33.37/9.37 | (247) ~ (e4 = e1) % 33.37/9.37 | % 33.37/9.37 +-Applying beta-rule and splitting (245), into two cases. % 33.37/9.37 |-Branch one: % 33.37/9.37 | (583) all_0_56_56 = e1 % 33.37/9.37 | % 33.37/9.37 | Equations (583) can reduce 594 to: % 33.37/9.37 | (565) ~ (e2 = e1) % 33.37/9.37 | % 33.37/9.37 | Simplifying 565 yields: % 33.37/9.37 | (144) ~ (e2 = e1) % 33.37/9.37 | % 33.37/9.37 | Equations (583) can reduce 296 to: % 33.37/9.37 | (134) ~ (e1 = e0) % 33.37/9.37 | % 33.37/9.37 +-Applying beta-rule and splitting (511), into two cases. % 33.37/9.37 |-Branch one: % 33.37/9.37 | (587) ~ (all_0_56_56 = e1) % 33.37/9.37 | % 33.37/9.37 | Equations (583) can reduce 587 to: % 33.37/9.37 | (303) $false % 33.37/9.37 | % 33.37/9.37 |-The branch is then unsatisfiable % 33.37/9.37 |-Branch two: % 33.37/9.37 | (583) all_0_56_56 = e1 % 33.37/9.37 | (717) all_0_59_59 = e4 % 33.37/9.37 | % 33.37/9.37 | From (717) and (90) follows: % 33.37/9.37 | (3322) op(e0, e1) = e4 % 33.37/9.37 | % 33.37/9.37 +-Applying beta-rule and splitting (62), into two cases. % 33.37/9.37 |-Branch one: % 33.37/9.37 | (631) unit = e2 % 33.37/9.37 | % 33.37/9.37 | From (631) and (17) follows: % 33.37/9.37 | (613) op(e2, e4) = e4 % 33.37/9.37 | % 33.37/9.37 | From (631) and (189) follows: % 33.37/9.37 | (397) op(e2, e0) = e0 % 33.37/9.37 | % 33.37/9.37 | From (631) and (98) follows: % 33.37/9.37 | (5015) op(e3, e2) = e3 % 33.37/9.37 | % 33.37/9.37 | From (631) and (74) follows: % 33.37/9.37 | (2715) op(e2, e2) = e2 % 33.37/9.37 | % 33.37/9.37 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 33.37/9.37 | (601) e3 = e1 % 33.37/9.37 | % 33.37/9.37 | Instantiating formula (29) with e2, e4, e4, e2 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 33.37/9.37 | (470) e4 = e2 % 33.37/9.37 | % 33.37/9.37 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 33.37/9.37 | (453) e3 = e2 % 33.37/9.37 | % 33.37/9.37 | Instantiating formula (29) with e2, e0, e0, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e0, yields: % 33.37/9.37 | (654) e4 = e0 % 33.37/9.37 | % 33.37/9.37 | Combining equations (654,470) yields a new equation: % 33.37/9.37 | (385) e2 = e0 % 33.37/9.37 | % 33.37/9.37 | Combining equations (453,601) yields a new equation: % 33.37/9.37 | (584) e2 = e1 % 33.37/9.37 | % 33.37/9.37 | Simplifying 584 yields: % 33.37/9.37 | (585) e2 = e1 % 33.37/9.37 | % 33.37/9.37 | Combining equations (585,385) yields a new equation: % 33.37/9.37 | (670) e1 = e0 % 33.37/9.37 | % 33.37/9.37 | Simplifying 670 yields: % 33.37/9.37 | (590) e1 = e0 % 33.37/9.37 | % 33.37/9.37 | Equations (590) can reduce 134 to: % 33.37/9.37 | (303) $false % 33.37/9.37 | % 33.37/9.37 |-The branch is then unsatisfiable % 33.37/9.37 |-Branch two: % 33.37/9.37 | (599) ~ (unit = e2) % 33.37/9.37 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 33.37/9.37 | % 33.37/9.37 +-Applying beta-rule and splitting (634), into two cases. % 33.37/9.37 |-Branch one: % 33.37/9.37 | (635) unit = e4 % 33.37/9.37 | % 33.37/9.37 | From (635) and (98) follows: % 33.37/9.37 | (2729) op(e3, e4) = e3 % 33.37/9.37 | % 33.37/9.37 | From (635) and (190) follows: % 33.37/9.37 | (1178) op(e1, e4) = e1 % 33.37/9.37 | % 33.37/9.37 | Instantiating formula (29) with e3, e4, e3, e0 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e0, yields: % 33.37/9.37 | (497) e3 = e0 % 33.37/9.37 | % 33.37/9.37 | Instantiating formula (29) with e1, e4, e1, e3 and discharging atoms op(e1, e4) = e3, op(e1, e4) = e1, yields: % 33.37/9.37 | (601) e3 = e1 % 33.37/9.37 | % 33.37/9.37 | Combining equations (497,601) yields a new equation: % 33.37/9.37 | (590) e1 = e0 % 33.37/9.37 | % 33.37/9.37 | Equations (590) can reduce 134 to: % 33.37/9.37 | (303) $false % 33.37/9.37 | % 33.37/9.37 |-The branch is then unsatisfiable % 33.37/9.37 |-Branch two: % 33.37/9.37 | (484) ~ (unit = e4) % 33.37/9.37 | (647) unit = e3 | unit = e1 | unit = e0 % 33.37/9.37 | % 33.37/9.37 +-Applying beta-rule and splitting (647), into two cases. % 33.37/9.37 |-Branch one: % 33.37/9.37 | (648) unit = e1 % 33.37/9.37 | % 33.37/9.37 | Equations (648) can reduce 510 to: % 33.37/9.37 | (303) $false % 33.37/9.37 | % 33.37/9.37 |-The branch is then unsatisfiable % 33.37/9.37 |-Branch two: % 33.37/9.37 | (510) ~ (unit = e1) % 33.37/9.37 | (659) unit = e3 | unit = e0 % 33.37/9.38 | % 33.37/9.38 +-Applying beta-rule and splitting (659), into two cases. % 33.37/9.38 |-Branch one: % 33.37/9.38 | (660) unit = e0 % 33.37/9.38 | % 33.37/9.38 | From (660) and (38) follows: % 33.37/9.38 | (2749) op(e0, e1) = e1 % 33.37/9.38 | % 33.37/9.38 | From (660) and (74) follows: % 33.37/9.38 | (664) op(e2, e0) = e2 % 33.37/9.38 | % 33.37/9.38 | Instantiating formula (29) with e2, e0, e2, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e2, yields: % 33.37/9.38 | (470) e4 = e2 % 33.37/9.38 | % 33.37/9.38 | Instantiating formula (29) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields: % 33.37/9.38 | (541) e4 = e1 % 33.37/9.38 | % 33.37/9.38 | Combining equations (541,470) yields a new equation: % 33.37/9.38 | (585) e2 = e1 % 33.37/9.38 | % 33.37/9.38 | Equations (585) can reduce 144 to: % 33.37/9.38 | (303) $false % 33.37/9.38 | % 33.37/9.38 |-The branch is then unsatisfiable % 33.37/9.38 |-Branch two: % 33.37/9.38 | (537) ~ (unit = e0) % 33.37/9.38 | (674) unit = e3 % 33.37/9.38 | % 33.37/9.38 | From (674) and (74) follows: % 33.37/9.38 | (8513) op(e2, e3) = e2 % 33.37/9.38 | % 33.37/9.38 | From (674) and (190) follows: % 33.37/9.38 | (468) op(e1, e3) = e1 % 33.37/9.38 | % 33.37/9.38 | Instantiating formula (29) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields: % 33.37/9.38 | (385) e2 = e0 % 33.37/9.38 | % 33.37/9.38 | Instantiating formula (29) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 33.37/9.38 | (585) e2 = e1 % 33.37/9.38 | % 33.37/9.38 | Combining equations (585,385) yields a new equation: % 33.37/9.38 | (670) e1 = e0 % 33.37/9.38 | % 33.37/9.38 | Simplifying 670 yields: % 33.37/9.38 | (590) e1 = e0 % 33.37/9.38 | % 33.37/9.38 | Equations (590) can reduce 134 to: % 33.37/9.38 | (303) $false % 33.37/9.38 | % 33.37/9.38 |-The branch is then unsatisfiable % 33.37/9.38 |-Branch two: % 33.37/9.38 | (587) ~ (all_0_56_56 = e1) % 33.37/9.38 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 33.37/9.38 | % 33.37/9.38 +-Applying beta-rule and splitting (175), into two cases. % 33.37/9.38 |-Branch one: % 33.37/9.38 | (624) all_0_40_40 = e1 % 33.37/9.38 | % 33.37/9.38 | Combining equations (624,723) yields a new equation: % 33.37/9.38 | (541) e4 = e1 % 33.37/9.38 | % 33.37/9.38 | Equations (541) can reduce 247 to: % 33.37/9.38 | (303) $false % 33.37/9.38 | % 33.37/9.38 |-The branch is then unsatisfiable % 33.37/9.38 |-Branch two: % 33.37/9.38 | (683) ~ (all_0_40_40 = e1) % 33.37/9.38 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 33.37/9.38 | % 33.37/9.38 | Equations (723) can reduce 683 to: % 33.37/9.38 | (247) ~ (e4 = e1) % 33.37/9.38 | % 33.37/9.38 +-Applying beta-rule and splitting (588), into two cases. % 33.37/9.38 |-Branch one: % 33.37/9.38 | (589) all_0_57_57 = e1 % 33.37/9.38 | % 33.37/9.38 | Combining equations (1001,589) yields a new equation: % 33.37/9.38 | (680) e3 = e1 % 33.37/9.38 | % 33.37/9.38 | Simplifying 680 yields: % 33.37/9.38 | (601) e3 = e1 % 33.37/9.38 | % 33.37/9.38 | Equations (601) can reduce 136 to: % 33.37/9.38 | (303) $false % 33.37/9.38 | % 33.37/9.38 |-The branch is then unsatisfiable % 33.37/9.38 |-Branch two: % 33.37/9.38 | (592) ~ (all_0_57_57 = e1) % 33.37/9.38 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 33.37/9.38 | % 33.37/9.38 +-Applying beta-rule and splitting (713), into two cases. % 33.37/9.38 |-Branch one: % 33.37/9.38 | (714) all_0_50_50 = e4 % 33.37/9.38 | % 33.37/9.38 | Combining equations (714,627) yields a new equation: % 33.37/9.38 | (540) e4 = e1 % 33.37/9.38 | % 33.37/9.38 | Simplifying 540 yields: % 33.37/9.38 | (541) e4 = e1 % 33.37/9.38 | % 33.37/9.38 | Equations (541) can reduce 247 to: % 33.37/9.38 | (303) $false % 33.37/9.38 | % 33.37/9.38 |-The branch is then unsatisfiable % 33.37/9.38 |-Branch two: % 33.37/9.38 | (611) ~ (all_0_50_50 = e4) % 33.37/9.38 | (717) all_0_59_59 = e4 % 33.37/9.38 | % 33.37/9.38 | Equations (717) can reduce 603 to: % 33.37/9.38 | (247) ~ (e4 = e1) % 33.37/9.38 | % 33.37/9.38 +-Applying beta-rule and splitting (593), into two cases. % 33.37/9.38 |-Branch one: % 33.37/9.38 | (600) all_0_59_59 = e1 % 33.37/9.38 | % 33.37/9.38 | Combining equations (717,600) yields a new equation: % 33.37/9.38 | (540) e4 = e1 % 33.37/9.38 | % 33.37/9.38 | Simplifying 540 yields: % 33.37/9.38 | (541) e4 = e1 % 33.37/9.38 | % 33.52/9.38 | Equations (541) can reduce 247 to: % 33.52/9.38 | (303) $false % 33.52/9.38 | % 33.52/9.38 |-The branch is then unsatisfiable % 33.52/9.38 |-Branch two: % 33.52/9.38 | (603) ~ (all_0_59_59 = e1) % 33.52/9.38 | (604) all_0_60_60 = e1 % 33.52/9.38 | % 33.52/9.38 | Combining equations (604,1934) yields a new equation: % 33.52/9.38 | (670) e1 = e0 % 33.52/9.38 | % 33.52/9.38 | Simplifying 670 yields: % 33.52/9.38 | (590) e1 = e0 % 33.52/9.38 | % 33.52/9.38 | Equations (590) can reduce 134 to: % 33.52/9.38 | (303) $false % 33.52/9.38 | % 33.52/9.38 |-The branch is then unsatisfiable % 33.52/9.38 |-Branch two: % 33.52/9.38 | (844) ~ (all_0_40_40 = e4) % 33.52/9.38 | (6577) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 33.52/9.38 | % 33.52/9.38 +-Applying beta-rule and splitting (196), into two cases. % 33.52/9.38 |-Branch one: % 33.52/9.38 | (723) all_0_40_40 = e4 % 33.52/9.38 | % 33.52/9.38 | Equations (723) can reduce 844 to: % 33.52/9.38 | (303) $false % 33.52/9.38 | % 33.52/9.38 |-The branch is then unsatisfiable % 33.52/9.38 |-Branch two: % 33.52/9.38 | (844) ~ (all_0_40_40 = e4) % 33.52/9.38 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 33.52/9.38 | % 33.52/9.38 +-Applying beta-rule and splitting (845), into two cases. % 33.52/9.38 |-Branch one: % 33.52/9.38 | (609) all_0_48_48 = e4 % 33.52/9.38 | % 33.52/9.38 | Combining equations (609,727) yields a new equation: % 33.52/9.38 | (878) e4 = e2 % 33.52/9.38 | % 33.52/9.38 | Simplifying 878 yields: % 33.52/9.38 | (470) e4 = e2 % 33.52/9.38 | % 33.52/9.38 | Equations (470) can reduce 231 to: % 33.52/9.38 | (303) $false % 33.52/9.38 | % 33.52/9.38 |-The branch is then unsatisfiable % 33.52/9.38 |-Branch two: % 33.52/9.38 | (721) ~ (all_0_48_48 = e4) % 33.52/9.38 | (871) all_0_52_52 = e4 | all_0_56_56 = e4 % 33.52/9.38 | % 33.52/9.38 +-Applying beta-rule and splitting (6577), into two cases. % 33.52/9.38 |-Branch one: % 33.52/9.38 | (3175) all_0_42_42 = e4 % 33.52/9.38 | % 33.52/9.38 | Combining equations (3175,324) yields a new equation: % 33.52/9.38 | (1573) e4 = e0 % 33.52/9.38 | % 33.52/9.38 | Simplifying 1573 yields: % 33.52/9.38 | (654) e4 = e0 % 33.52/9.38 | % 33.52/9.38 | Equations (654) can reduce 4 to: % 33.52/9.38 | (303) $false % 33.52/9.38 | % 33.52/9.38 |-The branch is then unsatisfiable % 33.52/9.38 |-Branch two: % 33.52/9.38 | (6245) ~ (all_0_42_42 = e4) % 33.52/9.38 | (6600) all_0_43_43 = e4 | all_0_44_44 = e4 % 33.52/9.38 | % 33.52/9.38 +-Applying beta-rule and splitting (871), into two cases. % 33.52/9.38 |-Branch one: % 33.52/9.38 | (442) all_0_52_52 = e4 % 33.52/9.38 | % 33.52/9.38 | Combining equations (425,442) yields a new equation: % 33.52/9.38 | (443) e4 = e3 % 33.53/9.38 | % 33.53/9.38 | Equations (443) can reduce 30 to: % 33.53/9.38 | (303) $false % 33.53/9.38 | % 33.53/9.38 |-The branch is then unsatisfiable % 33.53/9.38 |-Branch two: % 33.53/9.38 | (445) ~ (all_0_52_52 = e4) % 33.53/9.38 | (877) all_0_56_56 = e4 % 33.53/9.38 | % 33.53/9.38 | Equations (877) can reduce 526 to: % 33.53/9.38 | (30) ~ (e4 = e3) % 33.53/9.38 | % 33.53/9.38 | Equations (877) can reduce 594 to: % 33.53/9.38 | (231) ~ (e4 = e2) % 33.53/9.38 | % 33.53/9.38 +-Applying beta-rule and splitting (6600), into two cases. % 33.53/9.38 |-Branch one: % 33.53/9.38 | (614) all_0_43_43 = e4 % 33.53/9.38 | % 33.53/9.38 | Combining equations (614,447) yields a new equation: % 33.53/9.38 | (718) e4 = e3 % 33.53/9.38 | % 33.53/9.38 | Simplifying 718 yields: % 33.53/9.38 | (443) e4 = e3 % 33.53/9.38 | % 33.53/9.38 | Equations (443) can reduce 30 to: % 33.53/9.38 | (303) $false % 33.53/9.38 | % 33.53/9.38 |-The branch is then unsatisfiable % 33.53/9.38 |-Branch two: % 33.53/9.38 | (712) ~ (all_0_43_43 = e4) % 33.53/9.38 | (1096) all_0_44_44 = e4 % 33.53/9.38 | % 33.53/9.38 | Combining equations (1096,572) yields a new equation: % 33.53/9.38 | (878) e4 = e2 % 33.53/9.38 | % 33.53/9.38 | Simplifying 878 yields: % 33.53/9.38 | (470) e4 = e2 % 33.53/9.38 | % 33.53/9.38 | Equations (470) can reduce 231 to: % 33.53/9.38 | (303) $false % 33.53/9.38 | % 33.53/9.38 |-The branch is then unsatisfiable % 33.53/9.38 |-Branch two: % 33.53/9.38 | (699) ~ (all_0_41_41 = e1) % 33.53/9.38 | (2158) all_0_41_41 = e3 | all_0_41_41 = e0 % 33.53/9.38 | % 33.53/9.38 +-Applying beta-rule and splitting (2158), into two cases. % 33.53/9.38 |-Branch one: % 33.53/9.38 | (398) all_0_41_41 = e0 % 33.53/9.38 | % 33.53/9.38 | Equations (398) can reduce 326 to: % 33.53/9.38 | (303) $false % 33.53/9.38 | % 33.53/9.38 |-The branch is then unsatisfiable % 33.53/9.38 |-Branch two: % 33.53/9.38 | (326) ~ (all_0_41_41 = e0) % 33.53/9.38 | (431) all_0_41_41 = e3 % 33.53/9.38 | % 33.53/9.38 | Equations (431) can reduce 996 to: % 33.53/9.38 | (303) $false % 33.53/9.38 | % 33.53/9.38 |-The branch is then unsatisfiable % 33.53/9.38 |-Branch two: % 33.53/9.38 | (434) ~ (all_0_43_43 = e3) % 33.53/9.38 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 33.53/9.38 | % 33.53/9.38 +-Applying beta-rule and splitting (450), into two cases. % 33.53/9.38 |-Branch one: % 33.53/9.38 | (451) all_0_46_46 = e3 % 33.53/9.38 | % 33.53/9.38 | Combining equations (252,451) yields a new equation: % 33.53/9.38 | (453) e3 = e2 % 33.53/9.38 | % 33.53/9.38 | Equations (453) can reduce 223 to: % 33.53/9.38 | (303) $false % 33.53/9.38 | % 33.53/9.38 |-The branch is then unsatisfiable % 33.53/9.38 |-Branch two: % 33.53/9.38 | (455) ~ (all_0_46_46 = e3) % 33.53/9.38 | (456) all_0_59_59 = e3 % 33.53/9.38 | % 33.53/9.38 | Equations (456) can reduce 222 to: % 33.53/9.38 | (2590) ~ (all_0_57_57 = e3) % 33.53/9.38 | % 33.53/9.38 | Equations (456) can reduce 260 to: % 33.53/9.38 | (223) ~ (e3 = e2) % 33.53/9.38 | % 33.53/9.38 | Equations (456) can reduce 603 to: % 33.53/9.38 | (136) ~ (e3 = e1) % 33.53/9.38 | % 33.53/9.38 | From (456) and (90) follows: % 33.53/9.38 | (461) op(e0, e1) = e3 % 33.53/9.38 | % 33.53/9.38 +-Applying beta-rule and splitting (237), into two cases. % 33.53/9.38 |-Branch one: % 33.53/9.38 | (431) all_0_41_41 = e3 % 33.53/9.38 | % 33.53/9.38 | Equations (431) can reduce 151 to: % 33.53/9.38 | (432) ~ (all_0_40_40 = e3) % 33.53/9.38 | % 33.53/9.38 | Equations (431) can reduce 43 to: % 33.53/9.38 | (433) ~ (all_0_43_43 = e3) % 33.53/9.38 | % 33.53/9.38 | Simplifying 433 yields: % 33.53/9.38 | (434) ~ (all_0_43_43 = e3) % 33.53/9.38 | % 33.53/9.38 | Equations (431) can reduce 11 to: % 33.53/9.38 | (2589) ~ (all_0_57_57 = e3) % 33.53/9.38 | % 33.53/9.38 | Simplifying 2589 yields: % 33.53/9.38 | (2590) ~ (all_0_57_57 = e3) % 33.53/9.38 | % 33.53/9.38 +-Applying beta-rule and splitting (139), into two cases. % 33.53/9.38 |-Branch one: % 33.53/9.38 | (614) all_0_43_43 = e4 % 33.53/9.38 | % 33.53/9.38 | Equations (614) can reduce 8 to: % 33.53/9.38 | (844) ~ (all_0_40_40 = e4) % 33.53/9.38 | % 33.53/9.38 | Equations (614) can reduce 434 to: % 33.53/9.38 | (30) ~ (e4 = e3) % 33.53/9.38 | % 33.53/9.38 | Equations (614) can reduce 253 to: % 33.53/9.38 | (231) ~ (e4 = e2) % 33.53/9.38 | % 33.53/9.38 +-Applying beta-rule and splitting (196), into two cases. % 33.53/9.38 |-Branch one: % 33.53/9.38 | (723) all_0_40_40 = e4 % 33.53/9.38 | % 33.53/9.38 | Equations (723) can reduce 844 to: % 33.53/9.38 | (303) $false % 33.53/9.38 | % 33.53/9.38 |-The branch is then unsatisfiable % 33.53/9.38 |-Branch two: % 33.53/9.38 | (844) ~ (all_0_40_40 = e4) % 33.53/9.38 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 33.53/9.38 | % 33.53/9.38 +-Applying beta-rule and splitting (511), into two cases. % 33.53/9.38 |-Branch one: % 33.53/9.38 | (587) ~ (all_0_56_56 = e1) % 33.53/9.38 | % 33.53/9.38 +-Applying beta-rule and splitting (250), into two cases. % 33.53/9.38 |-Branch one: % 33.53/9.38 | (897) all_0_57_57 = e2 % 33.53/9.38 | % 33.53/9.38 | Equations (897) can reduce 377 to: % 33.53/9.38 | (303) $false % 33.53/9.38 | % 33.53/9.38 |-The branch is then unsatisfiable % 33.53/9.38 |-Branch two: % 33.53/9.38 | (377) ~ (all_0_57_57 = e2) % 33.53/9.38 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 33.53/9.38 | % 33.53/9.38 +-Applying beta-rule and splitting (845), into two cases. % 33.53/9.38 |-Branch one: % 33.53/9.38 | (609) all_0_48_48 = e4 % 33.53/9.38 | % 33.53/9.38 | Combining equations (609,727) yields a new equation: % 33.53/9.38 | (878) e4 = e2 % 33.53/9.38 | % 33.53/9.38 | Simplifying 878 yields: % 33.53/9.38 | (470) e4 = e2 % 33.53/9.38 | % 33.53/9.38 | Equations (470) can reduce 231 to: % 33.53/9.38 | (303) $false % 33.53/9.38 | % 33.53/9.38 |-The branch is then unsatisfiable % 33.53/9.38 |-Branch two: % 33.53/9.38 | (721) ~ (all_0_48_48 = e4) % 33.53/9.38 | (871) all_0_52_52 = e4 | all_0_56_56 = e4 % 33.53/9.38 | % 33.53/9.38 +-Applying beta-rule and splitting (175), into two cases. % 33.53/9.38 |-Branch one: % 33.53/9.38 | (624) all_0_40_40 = e1 % 33.53/9.38 | % 33.53/9.38 | Equations (624) can reduce 57 to: % 33.53/9.38 | (1799) ~ (all_0_56_56 = e1) % 33.53/9.38 | % 33.53/9.38 | Simplifying 1799 yields: % 33.53/9.38 | (587) ~ (all_0_56_56 = e1) % 33.53/9.38 | % 33.53/9.38 | Equations (624) can reduce 432 to: % 33.53/9.38 | (465) ~ (e3 = e1) % 33.53/9.38 | % 33.53/9.38 | Simplifying 465 yields: % 33.53/9.38 | (136) ~ (e3 = e1) % 33.53/9.38 | % 33.53/9.38 | Equations (624) can reduce 288 to: % 33.53/9.38 | (134) ~ (e1 = e0) % 33.53/9.38 | % 33.53/9.38 +-Applying beta-rule and splitting (243), into two cases. % 33.53/9.38 |-Branch one: % 33.53/9.38 | (877) all_0_56_56 = e4 % 33.53/9.38 | % 33.53/9.38 | Equations (877) can reduce 587 to: % 33.53/9.38 | (247) ~ (e4 = e1) % 33.53/9.38 | % 33.53/9.38 +-Applying beta-rule and splitting (245), into two cases. % 33.53/9.38 |-Branch one: % 33.53/9.38 | (583) all_0_56_56 = e1 % 33.53/9.38 | % 33.53/9.38 | Combining equations (877,583) yields a new equation: % 33.53/9.38 | (540) e4 = e1 % 33.53/9.38 | % 33.53/9.38 | Simplifying 540 yields: % 33.53/9.38 | (541) e4 = e1 % 33.53/9.38 | % 33.53/9.38 | Equations (541) can reduce 247 to: % 33.53/9.38 | (303) $false % 33.53/9.38 | % 33.53/9.38 |-The branch is then unsatisfiable % 33.53/9.38 |-Branch two: % 33.53/9.38 | (587) ~ (all_0_56_56 = e1) % 33.53/9.38 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 33.53/9.38 | % 33.53/9.38 +-Applying beta-rule and splitting (221), into two cases. % 33.53/9.38 |-Branch one: % 33.53/9.38 | (696) all_0_41_41 = e1 % 33.53/9.38 | % 33.53/9.38 | Combining equations (696,431) yields a new equation: % 33.53/9.38 | (601) e3 = e1 % 33.53/9.38 | % 33.53/9.38 | Equations (601) can reduce 136 to: % 33.53/9.38 | (303) $false % 33.53/9.38 | % 33.53/9.38 |-The branch is then unsatisfiable % 33.53/9.38 |-Branch two: % 33.53/9.38 | (699) ~ (all_0_41_41 = e1) % 33.53/9.38 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 33.53/9.38 | % 33.53/9.38 | Equations (431) can reduce 699 to: % 33.53/9.38 | (136) ~ (e3 = e1) % 33.53/9.38 | % 33.53/9.38 +-Applying beta-rule and splitting (2652), into two cases. % 33.53/9.38 |-Branch one: % 33.53/9.38 | (589) all_0_57_57 = e1 % 33.53/9.38 | % 33.53/9.38 | Equations (589) can reduce 2590 to: % 33.53/9.38 | (465) ~ (e3 = e1) % 33.53/9.38 | % 33.53/9.38 | Simplifying 465 yields: % 33.53/9.38 | (136) ~ (e3 = e1) % 33.53/9.38 | % 33.53/9.38 | Equations (589) can reduce 2273 to: % 33.53/9.38 | (134) ~ (e1 = e0) % 33.53/9.38 | % 33.53/9.38 +-Applying beta-rule and splitting (62), into two cases. % 33.53/9.38 |-Branch one: % 33.53/9.38 | (631) unit = e2 % 33.53/9.38 | % 33.53/9.38 | From (631) and (17) follows: % 33.53/9.38 | (613) op(e2, e4) = e4 % 33.53/9.38 | % 33.53/9.38 | From (631) and (189) follows: % 33.53/9.38 | (397) op(e2, e0) = e0 % 33.53/9.38 | % 33.53/9.38 | From (631) and (98) follows: % 33.53/9.38 | (5015) op(e3, e2) = e3 % 33.53/9.38 | % 33.53/9.38 | From (631) and (74) follows: % 33.53/9.38 | (2715) op(e2, e2) = e2 % 33.53/9.38 | % 33.53/9.38 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 33.53/9.38 | (601) e3 = e1 % 33.53/9.38 | % 33.53/9.38 | Instantiating formula (29) with e2, e4, e4, e2 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 33.53/9.38 | (470) e4 = e2 % 33.53/9.38 | % 33.53/9.38 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 33.53/9.38 | (453) e3 = e2 % 33.53/9.38 | % 33.53/9.38 | Instantiating formula (29) with e2, e0, e0, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e0, yields: % 33.53/9.38 | (654) e4 = e0 % 33.53/9.38 | % 33.53/9.38 | Combining equations (654,470) yields a new equation: % 33.53/9.38 | (385) e2 = e0 % 33.53/9.38 | % 33.53/9.38 | Combining equations (453,601) yields a new equation: % 33.53/9.38 | (584) e2 = e1 % 33.53/9.38 | % 33.53/9.39 | Simplifying 584 yields: % 33.53/9.39 | (585) e2 = e1 % 33.53/9.39 | % 33.53/9.39 | Combining equations (585,385) yields a new equation: % 33.53/9.39 | (670) e1 = e0 % 33.53/9.39 | % 33.53/9.39 | Simplifying 670 yields: % 33.53/9.39 | (590) e1 = e0 % 33.53/9.39 | % 33.53/9.39 | Equations (590) can reduce 134 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (599) ~ (unit = e2) % 33.53/9.39 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 33.53/9.39 | % 33.53/9.39 +-Applying beta-rule and splitting (634), into two cases. % 33.53/9.39 |-Branch one: % 33.53/9.39 | (635) unit = e4 % 33.53/9.39 | % 33.53/9.39 | From (635) and (98) follows: % 33.53/9.39 | (2729) op(e3, e4) = e3 % 33.53/9.39 | % 33.53/9.39 | From (635) and (190) follows: % 33.53/9.39 | (1178) op(e1, e4) = e1 % 33.53/9.39 | % 33.53/9.39 | Instantiating formula (29) with e3, e4, e3, e0 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e0, yields: % 33.53/9.39 | (497) e3 = e0 % 33.53/9.39 | % 33.53/9.39 | Instantiating formula (29) with e1, e4, e1, e3 and discharging atoms op(e1, e4) = e3, op(e1, e4) = e1, yields: % 33.53/9.39 | (601) e3 = e1 % 33.53/9.39 | % 33.53/9.39 | Combining equations (497,601) yields a new equation: % 33.53/9.39 | (590) e1 = e0 % 33.53/9.39 | % 33.53/9.39 | Equations (590) can reduce 134 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (484) ~ (unit = e4) % 33.53/9.39 | (647) unit = e3 | unit = e1 | unit = e0 % 33.53/9.39 | % 33.53/9.39 +-Applying beta-rule and splitting (647), into two cases. % 33.53/9.39 |-Branch one: % 33.53/9.39 | (648) unit = e1 % 33.53/9.39 | % 33.53/9.39 | Equations (648) can reduce 510 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (510) ~ (unit = e1) % 33.53/9.39 | (659) unit = e3 | unit = e0 % 33.53/9.39 | % 33.53/9.39 +-Applying beta-rule and splitting (659), into two cases. % 33.53/9.39 |-Branch one: % 33.53/9.39 | (660) unit = e0 % 33.53/9.39 | % 33.53/9.39 | From (660) and (38) follows: % 33.53/9.39 | (2749) op(e0, e1) = e1 % 33.53/9.39 | % 33.53/9.39 | Instantiating formula (29) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields: % 33.53/9.39 | (601) e3 = e1 % 33.53/9.39 | % 33.53/9.39 | Equations (601) can reduce 136 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (537) ~ (unit = e0) % 33.53/9.39 | (674) unit = e3 % 33.53/9.39 | % 33.53/9.39 | From (674) and (74) follows: % 33.53/9.39 | (8513) op(e2, e3) = e2 % 33.53/9.39 | % 33.53/9.39 | From (674) and (190) follows: % 33.53/9.39 | (468) op(e1, e3) = e1 % 33.53/9.39 | % 33.53/9.39 | Instantiating formula (29) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields: % 33.53/9.39 | (385) e2 = e0 % 33.53/9.39 | % 33.53/9.39 | Instantiating formula (29) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 33.53/9.39 | (585) e2 = e1 % 33.53/9.39 | % 33.53/9.39 | Combining equations (585,385) yields a new equation: % 33.53/9.39 | (670) e1 = e0 % 33.53/9.39 | % 33.53/9.39 | Simplifying 670 yields: % 33.53/9.39 | (590) e1 = e0 % 33.53/9.39 | % 33.53/9.39 | Equations (590) can reduce 134 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (592) ~ (all_0_57_57 = e1) % 33.53/9.39 | (3062) all_0_57_57 = e3 | all_0_57_57 = e0 % 33.53/9.39 | % 33.53/9.39 +-Applying beta-rule and splitting (588), into two cases. % 33.53/9.39 |-Branch one: % 33.53/9.39 | (589) all_0_57_57 = e1 % 33.53/9.39 | % 33.53/9.39 | Equations (589) can reduce 592 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (592) ~ (all_0_57_57 = e1) % 33.53/9.39 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 33.53/9.39 | % 33.53/9.39 +-Applying beta-rule and splitting (593), into two cases. % 33.53/9.39 |-Branch one: % 33.53/9.39 | (600) all_0_59_59 = e1 % 33.53/9.39 | % 33.53/9.39 | Combining equations (456,600) yields a new equation: % 33.53/9.39 | (680) e3 = e1 % 33.53/9.39 | % 33.53/9.39 | Simplifying 680 yields: % 33.53/9.39 | (601) e3 = e1 % 33.53/9.39 | % 33.53/9.39 | Equations (601) can reduce 136 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (603) ~ (all_0_59_59 = e1) % 33.53/9.39 | (604) all_0_60_60 = e1 % 33.53/9.39 | % 33.53/9.39 | Combining equations (604,1934) yields a new equation: % 33.53/9.39 | (670) e1 = e0 % 33.53/9.39 | % 33.53/9.39 | Simplifying 670 yields: % 33.53/9.39 | (590) e1 = e0 % 33.53/9.39 | % 33.53/9.39 | Equations (590) can reduce 134 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (345) ~ (all_0_56_56 = e4) % 33.53/9.39 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 33.53/9.39 | % 33.53/9.39 +-Applying beta-rule and splitting (871), into two cases. % 33.53/9.39 |-Branch one: % 33.53/9.39 | (442) all_0_52_52 = e4 % 33.53/9.39 | % 33.53/9.39 | Combining equations (425,442) yields a new equation: % 33.53/9.39 | (443) e4 = e3 % 33.53/9.39 | % 33.53/9.39 | Equations (443) can reduce 30 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (445) ~ (all_0_52_52 = e4) % 33.53/9.39 | (877) all_0_56_56 = e4 % 33.53/9.39 | % 33.53/9.39 | Equations (877) can reduce 345 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (683) ~ (all_0_40_40 = e1) % 33.53/9.39 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 33.53/9.39 | % 33.53/9.39 +-Applying beta-rule and splitting (243), into two cases. % 33.53/9.39 |-Branch one: % 33.53/9.39 | (877) all_0_56_56 = e4 % 33.53/9.39 | % 33.53/9.39 | Equations (877) can reduce 172 to: % 33.53/9.39 | (13028) ~ (all_0_57_57 = e4) % 33.53/9.39 | % 33.53/9.39 | Simplifying 13028 yields: % 33.53/9.39 | (202) ~ (all_0_57_57 = e4) % 33.53/9.39 | % 33.53/9.39 | Equations (877) can reduce 587 to: % 33.53/9.39 | (247) ~ (e4 = e1) % 33.53/9.39 | % 33.53/9.39 +-Applying beta-rule and splitting (245), into two cases. % 33.53/9.39 |-Branch one: % 33.53/9.39 | (583) all_0_56_56 = e1 % 33.53/9.39 | % 33.53/9.39 | Combining equations (877,583) yields a new equation: % 33.53/9.39 | (540) e4 = e1 % 33.53/9.39 | % 33.53/9.39 | Simplifying 540 yields: % 33.53/9.39 | (541) e4 = e1 % 33.53/9.39 | % 33.53/9.39 | Equations (541) can reduce 247 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (587) ~ (all_0_56_56 = e1) % 33.53/9.39 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 33.53/9.39 | % 33.53/9.39 +-Applying beta-rule and splitting (44), into two cases. % 33.53/9.39 |-Branch one: % 33.53/9.39 | (624) all_0_40_40 = e1 % 33.53/9.39 | % 33.53/9.39 | Equations (624) can reduce 683 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (683) ~ (all_0_40_40 = e1) % 33.53/9.39 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 33.53/9.39 | % 33.53/9.39 +-Applying beta-rule and splitting (221), into two cases. % 33.53/9.39 |-Branch one: % 33.53/9.39 | (696) all_0_41_41 = e1 % 33.53/9.39 | % 33.53/9.39 | Combining equations (696,431) yields a new equation: % 33.53/9.39 | (601) e3 = e1 % 33.53/9.39 | % 33.53/9.39 | Equations (601) can reduce 136 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (699) ~ (all_0_41_41 = e1) % 33.53/9.39 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 33.53/9.39 | % 33.53/9.39 | Equations (431) can reduce 699 to: % 33.53/9.39 | (136) ~ (e3 = e1) % 33.53/9.39 | % 33.53/9.39 +-Applying beta-rule and splitting (684), into two cases. % 33.53/9.39 |-Branch one: % 33.53/9.39 | (748) all_0_48_48 = e1 % 33.53/9.39 | % 33.53/9.39 | Combining equations (748,727) yields a new equation: % 33.53/9.39 | (585) e2 = e1 % 33.53/9.39 | % 33.53/9.39 | Equations (585) can reduce 144 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (802) ~ (all_0_48_48 = e1) % 33.53/9.39 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 33.53/9.39 | % 33.53/9.39 +-Applying beta-rule and splitting (688), into two cases. % 33.53/9.39 |-Branch one: % 33.53/9.39 | (696) all_0_41_41 = e1 % 33.53/9.39 | % 33.53/9.39 | Combining equations (696,431) yields a new equation: % 33.53/9.39 | (601) e3 = e1 % 33.53/9.39 | % 33.53/9.39 | Equations (601) can reduce 136 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (699) ~ (all_0_41_41 = e1) % 33.53/9.39 | (700) all_0_43_43 = e1 | all_0_44_44 = e1 % 33.53/9.39 | % 33.53/9.39 | Equations (431) can reduce 699 to: % 33.53/9.39 | (136) ~ (e3 = e1) % 33.53/9.39 | % 33.53/9.39 +-Applying beta-rule and splitting (2652), into two cases. % 33.53/9.39 |-Branch one: % 33.53/9.39 | (589) all_0_57_57 = e1 % 33.53/9.39 | % 33.53/9.39 | Equations (589) can reduce 202 to: % 33.53/9.39 | (605) ~ (e4 = e1) % 33.53/9.39 | % 33.53/9.39 | Simplifying 605 yields: % 33.53/9.39 | (247) ~ (e4 = e1) % 33.53/9.39 | % 33.53/9.39 | Equations (589) can reduce 2590 to: % 33.53/9.39 | (465) ~ (e3 = e1) % 33.53/9.39 | % 33.53/9.39 | Simplifying 465 yields: % 33.53/9.39 | (136) ~ (e3 = e1) % 33.53/9.39 | % 33.53/9.39 +-Applying beta-rule and splitting (807), into two cases. % 33.53/9.39 |-Branch one: % 33.53/9.39 | (1070) all_0_52_52 = e1 % 33.53/9.39 | % 33.53/9.39 | Combining equations (425,1070) yields a new equation: % 33.53/9.39 | (680) e3 = e1 % 33.53/9.39 | % 33.53/9.39 | Simplifying 680 yields: % 33.53/9.39 | (601) e3 = e1 % 33.53/9.39 | % 33.53/9.39 | Equations (601) can reduce 136 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (502) ~ (all_0_52_52 = e1) % 33.53/9.39 | (583) all_0_56_56 = e1 % 33.53/9.39 | % 33.53/9.39 | Combining equations (877,583) yields a new equation: % 33.53/9.39 | (540) e4 = e1 % 33.53/9.39 | % 33.53/9.39 | Simplifying 540 yields: % 33.53/9.39 | (541) e4 = e1 % 33.53/9.39 | % 33.53/9.39 | Equations (541) can reduce 247 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (592) ~ (all_0_57_57 = e1) % 33.53/9.39 | (3062) all_0_57_57 = e3 | all_0_57_57 = e0 % 33.53/9.39 | % 33.53/9.39 +-Applying beta-rule and splitting (588), into two cases. % 33.53/9.39 |-Branch one: % 33.53/9.39 | (589) all_0_57_57 = e1 % 33.53/9.39 | % 33.53/9.39 | Equations (589) can reduce 592 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (592) ~ (all_0_57_57 = e1) % 33.53/9.39 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 33.53/9.39 | % 33.53/9.39 +-Applying beta-rule and splitting (593), into two cases. % 33.53/9.39 |-Branch one: % 33.53/9.39 | (600) all_0_59_59 = e1 % 33.53/9.39 | % 33.53/9.39 | Combining equations (456,600) yields a new equation: % 33.53/9.39 | (680) e3 = e1 % 33.53/9.39 | % 33.53/9.39 | Simplifying 680 yields: % 33.53/9.39 | (601) e3 = e1 % 33.53/9.39 | % 33.53/9.39 | Equations (601) can reduce 136 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (603) ~ (all_0_59_59 = e1) % 33.53/9.39 | (604) all_0_60_60 = e1 % 33.53/9.39 | % 33.53/9.39 | Combining equations (1934,604) yields a new equation: % 33.53/9.39 | (590) e1 = e0 % 33.53/9.39 | % 33.53/9.39 | Equations (590) can reduce 134 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (345) ~ (all_0_56_56 = e4) % 33.53/9.39 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 33.53/9.39 | % 33.53/9.39 +-Applying beta-rule and splitting (871), into two cases. % 33.53/9.39 |-Branch one: % 33.53/9.39 | (442) all_0_52_52 = e4 % 33.53/9.39 | % 33.53/9.39 | Combining equations (425,442) yields a new equation: % 33.53/9.39 | (443) e4 = e3 % 33.53/9.39 | % 33.53/9.39 | Equations (443) can reduce 30 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (445) ~ (all_0_52_52 = e4) % 33.53/9.39 | (877) all_0_56_56 = e4 % 33.53/9.39 | % 33.53/9.39 | Equations (877) can reduce 345 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (583) all_0_56_56 = e1 % 33.53/9.39 | (717) all_0_59_59 = e4 % 33.53/9.39 | % 33.53/9.39 | Combining equations (717,456) yields a new equation: % 33.53/9.39 | (718) e4 = e3 % 33.53/9.39 | % 33.53/9.39 | Simplifying 718 yields: % 33.53/9.39 | (443) e4 = e3 % 33.53/9.39 | % 33.53/9.39 | Equations (443) can reduce 30 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (712) ~ (all_0_43_43 = e4) % 33.53/9.39 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 33.53/9.39 | % 33.53/9.39 +-Applying beta-rule and splitting (191), into two cases. % 33.53/9.39 |-Branch one: % 33.53/9.39 | (965) all_0_43_43 = e2 % 33.53/9.39 | % 33.53/9.39 | Equations (965) can reduce 253 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (253) ~ (all_0_43_43 = e2) % 33.53/9.39 | (1634) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e1 % 33.53/9.39 | % 33.53/9.39 +-Applying beta-rule and splitting (1634), into two cases. % 33.53/9.39 |-Branch one: % 33.53/9.39 | (614) all_0_43_43 = e4 % 33.53/9.39 | % 33.53/9.39 | Equations (614) can reduce 712 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (712) ~ (all_0_43_43 = e4) % 33.53/9.39 | (2084) all_0_43_43 = e3 | all_0_43_43 = e1 % 33.53/9.39 | % 33.53/9.39 +-Applying beta-rule and splitting (2084), into two cases. % 33.53/9.39 |-Branch one: % 33.53/9.39 | (618) all_0_43_43 = e1 % 33.53/9.39 | % 33.53/9.39 | Equations (618) can reduce 622 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (622) ~ (all_0_43_43 = e1) % 33.53/9.39 | (447) all_0_43_43 = e3 % 33.53/9.39 | % 33.53/9.39 | Equations (447) can reduce 434 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (996) ~ (all_0_41_41 = e3) % 33.53/9.39 | (997) all_0_53_53 = e3 | all_0_57_57 = e3 % 33.53/9.39 | % 33.53/9.39 +-Applying beta-rule and splitting (250), into two cases. % 33.53/9.39 |-Branch one: % 33.53/9.39 | (897) all_0_57_57 = e2 % 33.53/9.39 | % 33.53/9.39 | Equations (897) can reduce 377 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (377) ~ (all_0_57_57 = e2) % 33.53/9.39 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 33.53/9.39 | % 33.53/9.39 +-Applying beta-rule and splitting (2652), into two cases. % 33.53/9.39 |-Branch one: % 33.53/9.39 | (589) all_0_57_57 = e1 % 33.53/9.39 | % 33.53/9.39 | Equations (589) can reduce 2590 to: % 33.53/9.39 | (465) ~ (e3 = e1) % 33.53/9.39 | % 33.53/9.39 | Simplifying 465 yields: % 33.53/9.39 | (136) ~ (e3 = e1) % 33.53/9.39 | % 33.53/9.39 +-Applying beta-rule and splitting (997), into two cases. % 33.53/9.39 |-Branch one: % 33.53/9.39 | (994) all_0_53_53 = e3 % 33.53/9.39 | % 33.53/9.39 | Combining equations (360,994) yields a new equation: % 33.53/9.39 | (453) e3 = e2 % 33.53/9.39 | % 33.53/9.39 | Equations (453) can reduce 223 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (428) ~ (all_0_53_53 = e3) % 33.53/9.39 | (1001) all_0_57_57 = e3 % 33.53/9.39 | % 33.53/9.39 | Combining equations (589,1001) yields a new equation: % 33.53/9.39 | (601) e3 = e1 % 33.53/9.39 | % 33.53/9.39 | Equations (601) can reduce 136 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (592) ~ (all_0_57_57 = e1) % 33.53/9.39 | (3062) all_0_57_57 = e3 | all_0_57_57 = e0 % 33.53/9.39 | % 33.53/9.39 +-Applying beta-rule and splitting (3062), into two cases. % 33.53/9.39 |-Branch one: % 33.53/9.39 | (407) all_0_57_57 = e0 % 33.53/9.39 | % 33.53/9.39 | Equations (407) can reduce 2273 to: % 33.53/9.39 | (303) $false % 33.53/9.39 | % 33.53/9.39 |-The branch is then unsatisfiable % 33.53/9.39 |-Branch two: % 33.53/9.39 | (2273) ~ (all_0_57_57 = e0) % 33.53/9.40 | (1001) all_0_57_57 = e3 % 33.53/9.40 | % 33.53/9.40 | Equations (1001) can reduce 2590 to: % 33.53/9.40 | (303) $false % 33.53/9.40 | % 33.53/9.40 |-The branch is then unsatisfiable % 33.53/9.40 |-Branch two: % 33.53/9.40 | (678) ~ (all_0_50_50 = e1) % 33.53/9.40 | (1590) all_0_51_51 = e1 % 33.53/9.40 | % 33.53/9.40 | Combining equations (1501,1590) yields a new equation: % 33.53/9.40 | (540) e4 = e1 % 33.53/9.40 | % 33.53/9.40 | Simplifying 540 yields: % 33.53/9.40 | (541) e4 = e1 % 33.53/9.40 | % 33.53/9.40 | Equations (541) can reduce 247 to: % 33.53/9.40 | (303) $false % 33.53/9.40 | % 33.53/9.40 |-The branch is then unsatisfiable % 33.53/9.40 |-Branch two: % 33.53/9.40 | (915) ~ (all_0_44_44 = e2) % 33.53/9.40 | (916) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 33.53/9.40 | % 33.53/9.40 +-Applying beta-rule and splitting (1585), into two cases. % 33.53/9.40 |-Branch one: % 33.53/9.40 | (627) all_0_50_50 = e1 % 33.53/9.40 | % 33.53/9.40 | Equations (627) can reduce 258 to: % 33.53/9.40 | (565) ~ (e2 = e1) % 33.53/9.40 | % 33.53/9.40 | Simplifying 565 yields: % 33.53/9.40 | (144) ~ (e2 = e1) % 33.53/9.40 | % 33.53/9.40 +-Applying beta-rule and splitting (916), into two cases. % 33.53/9.40 |-Branch one: % 33.53/9.40 | (302) all_0_47_47 = e2 % 33.53/9.40 | % 33.53/9.40 | Combining equations (309,302) yields a new equation: % 33.53/9.40 | (452) e3 = e2 % 33.53/9.40 | % 33.53/9.40 | Simplifying 452 yields: % 33.53/9.40 | (453) e3 = e2 % 33.53/9.40 | % 33.53/9.40 | Equations (453) can reduce 223 to: % 33.53/9.40 | (303) $false % 33.53/9.40 | % 33.53/9.40 |-The branch is then unsatisfiable % 33.53/9.40 |-Branch two: % 33.53/9.40 | (256) ~ (all_0_47_47 = e2) % 33.53/9.40 | (926) all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 33.53/9.40 | % 33.53/9.40 +-Applying beta-rule and splitting (926), into two cases. % 33.53/9.40 |-Branch one: % 33.53/9.40 | (927) all_0_51_51 = e2 % 33.53/9.40 | % 33.53/9.40 | Combining equations (1501,927) yields a new equation: % 33.53/9.40 | (878) e4 = e2 % 33.53/9.40 | % 33.53/9.40 | Simplifying 878 yields: % 33.53/9.40 | (470) e4 = e2 % 33.53/9.40 | % 33.53/9.40 | Equations (470) can reduce 231 to: % 33.53/9.40 | (303) $false % 33.53/9.40 | % 33.53/9.40 |-The branch is then unsatisfiable % 33.53/9.40 |-Branch two: % 33.53/9.40 | (373) ~ (all_0_51_51 = e2) % 33.53/9.40 | (931) all_0_55_55 = e2 | all_0_60_60 = e2 % 33.53/9.40 | % 33.53/9.40 +-Applying beta-rule and splitting (157), into two cases. % 33.53/9.40 |-Branch one: % 33.53/9.40 | (917) all_0_40_40 = e2 % 33.53/9.40 | % 33.53/9.40 | Equations (917) can reduce 939 to: % 33.53/9.40 | (303) $false % 33.53/9.40 | % 33.53/9.40 |-The branch is then unsatisfiable % 33.53/9.40 |-Branch two: % 33.53/9.40 | (939) ~ (all_0_40_40 = e2) % 33.53/9.40 | (940) all_0_41_41 = e2 | all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 33.53/9.40 | % 33.53/9.40 +-Applying beta-rule and splitting (940), into two cases. % 33.53/9.40 |-Branch one: % 33.53/9.40 | (945) all_0_41_41 = e2 % 33.53/9.40 | % 33.53/9.40 | Equations (945) can reduce 369 to: % 33.53/9.40 | (303) $false % 33.53/9.40 | % 33.53/9.40 |-The branch is then unsatisfiable % 33.53/9.40 |-Branch two: % 33.53/9.40 | (369) ~ (all_0_41_41 = e2) % 33.53/9.40 | (949) all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 33.53/9.40 | % 33.53/9.40 +-Applying beta-rule and splitting (949), into two cases. % 33.53/9.40 |-Branch one: % 33.53/9.40 | (959) all_0_42_42 = e2 % 33.53/9.40 | % 33.53/9.40 | Combining equations (324,959) yields a new equation: % 33.53/9.40 | (385) e2 = e0 % 33.53/9.40 | % 33.53/9.40 | Equations (385) can reduce 51 to: % 33.53/9.40 | (303) $false % 33.53/9.40 | % 33.53/9.40 |-The branch is then unsatisfiable % 33.53/9.40 |-Branch two: % 33.53/9.40 | (272) ~ (all_0_42_42 = e2) % 33.53/9.40 | (964) all_0_43_43 = e2 | all_0_44_44 = e2 % 33.53/9.40 | % 33.53/9.40 | Equations (324) can reduce 272 to: % 33.53/9.40 | (335) ~ (e2 = e0) % 33.53/9.40 | % 33.53/9.40 | Simplifying 335 yields: % 33.53/9.40 | (51) ~ (e2 = e0) % 33.53/9.40 | % 33.53/9.40 +-Applying beta-rule and splitting (931), into two cases. % 33.53/9.40 |-Branch one: % 33.53/9.40 | (932) all_0_55_55 = e2 % 33.53/9.40 | % 33.53/9.40 | Combining equations (530,932) yields a new equation: % 33.53/9.40 | (585) e2 = e1 % 33.53/9.40 | % 33.53/9.40 | Equations (585) can reduce 144 to: % 33.53/9.40 | (303) $false % 33.53/9.40 | % 33.53/9.40 |-The branch is then unsatisfiable % 33.53/9.40 |-Branch two: % 33.53/9.40 | (276) ~ (all_0_55_55 = e2) % 33.53/9.40 | (913) all_0_60_60 = e2 % 33.53/9.40 | % 33.53/9.40 | Combining equations (1934,913) yields a new equation: % 33.53/9.40 | (385) e2 = e0 % 33.53/9.40 | % 33.53/9.40 | Equations (385) can reduce 51 to: % 33.53/9.40 | (303) $false % 33.53/9.40 | % 33.53/9.40 |-The branch is then unsatisfiable % 33.53/9.40 |-Branch two: % 33.53/9.40 | (678) ~ (all_0_50_50 = e1) % 33.53/9.40 | (1590) all_0_51_51 = e1 % 33.53/9.40 | % 33.53/9.40 | Combining equations (1501,1590) yields a new equation: % 33.53/9.40 | (540) e4 = e1 % 33.53/9.40 | % 33.53/9.40 | Simplifying 540 yields: % 33.53/9.40 | (541) e4 = e1 % 33.53/9.40 | % 33.53/9.40 | Equations (541) can reduce 247 to: % 33.53/9.40 | (303) $false % 33.53/9.40 | % 33.53/9.40 |-The branch is then unsatisfiable % 33.53/9.40 |-Branch two: % 33.53/9.40 | (1504) ~ (all_0_51_51 = e4) % 33.53/9.40 | (6452) all_0_51_51 = e1 | all_0_51_51 = e0 % 33.53/9.40 | % 33.53/9.40 +-Applying beta-rule and splitting (6452), into two cases. % 33.53/9.40 |-Branch one: % 33.53/9.40 | (1590) all_0_51_51 = e1 % 33.53/9.40 | % 33.53/9.40 | Equations (1590) can reduce 500 to: % 33.53/9.40 | (303) $false % 33.53/9.40 | % 33.53/9.40 |-The branch is then unsatisfiable % 33.53/9.40 |-Branch two: % 33.53/9.40 | (500) ~ (all_0_51_51 = e1) % 33.53/9.40 | (388) all_0_51_51 = e0 % 33.53/9.40 | % 33.53/9.40 | Equations (388) can reduce 2347 to: % 33.53/9.40 | (303) $false % 33.53/9.40 | % 33.53/9.40 |-The branch is then unsatisfiable % 33.53/9.40 |-Branch two: % 33.53/9.40 | (544) ~ (all_0_48_48 = e2) % 33.53/9.40 | (2476) all_0_49_49 = e2 | all_0_50_50 = e2 | all_0_51_51 = e2 % 33.53/9.40 | % 33.53/9.40 +-Applying beta-rule and splitting (2476), into two cases. % 33.53/9.40 |-Branch one: % 33.53/9.40 | (368) all_0_49_49 = e2 % 33.53/9.40 | % 33.53/9.40 | Combining equations (384,368) yields a new equation: % 33.53/9.40 | (385) e2 = e0 % 33.53/9.40 | % 33.53/9.40 | Equations (385) can reduce 51 to: % 33.53/9.40 | (303) $false % 33.53/9.40 | % 33.53/9.40 |-The branch is then unsatisfiable % 33.53/9.40 |-Branch two: % 33.53/9.40 | (2167) ~ (all_0_49_49 = e2) % 33.53/9.40 | (2480) all_0_50_50 = e2 | all_0_51_51 = e2 % 33.53/9.40 | % 33.53/9.40 +-Applying beta-rule and splitting (2480), into two cases. % 33.53/9.40 |-Branch one: % 33.53/9.40 | (364) all_0_50_50 = e2 % 33.53/9.40 | % 33.53/9.40 | Equations (364) can reduce 258 to: % 33.53/9.40 | (303) $false % 33.53/9.40 | % 33.53/9.40 |-The branch is then unsatisfiable % 33.53/9.40 |-Branch two: % 33.53/9.40 | (258) ~ (all_0_50_50 = e2) % 33.53/9.40 | (927) all_0_51_51 = e2 % 33.53/9.40 | % 33.53/9.40 | Equations (927) can reduce 161 to: % 33.53/9.40 | (915) ~ (all_0_44_44 = e2) % 33.53/9.40 | % 33.53/9.40 | Equations (927) can reduce 171 to: % 33.53/9.40 | (258) ~ (all_0_50_50 = e2) % 33.53/9.40 | % 33.53/9.40 | Equations (927) can reduce 500 to: % 33.53/9.40 | (144) ~ (e2 = e1) % 33.53/9.40 | % 33.53/9.40 | Equations (927) can reduce 2347 to: % 33.53/9.40 | (51) ~ (e2 = e0) % 33.53/9.40 | % 33.53/9.40 | From (927) and (122) follows: % 33.53/9.40 | (2490) op(e2, e2) = all_0_21_21 % 33.53/9.40 | % 33.53/9.40 +-Applying beta-rule and splitting (241), into two cases. % 33.53/9.40 |-Branch one: % 33.53/9.40 | (1096) all_0_44_44 = e4 % 33.53/9.40 | % 33.53/9.40 | Equations (1096) can reduce 124 to: % 33.53/9.40 | (844) ~ (all_0_40_40 = e4) % 33.53/9.40 | % 33.53/9.40 | Equations (1096) can reduce 176 to: % 33.53/9.40 | (192) ~ (all_0_41_41 = e4) % 33.53/9.40 | % 33.53/9.40 | Equations (1096) can reduce 82 to: % 33.53/9.40 | (712) ~ (all_0_43_43 = e4) % 33.53/9.40 | % 33.53/9.40 | Equations (1096) can reduce 915 to: % 33.53/9.40 | (231) ~ (e4 = e2) % 33.53/9.40 | % 33.53/9.40 | From (1096) and (235) follows: % 33.53/9.40 | (2558) op(e4, e4) = all_0_7_7 % 33.53/9.40 | % 33.53/9.40 +-Applying beta-rule and splitting (157), into two cases. % 33.53/9.40 |-Branch one: % 33.53/9.40 | (917) all_0_40_40 = e2 % 33.53/9.40 | % 33.53/9.40 | Equations (917) can reduce 151 to: % 33.53/9.40 | (5977) ~ (all_0_41_41 = e2) % 33.53/9.40 | % 33.53/9.40 | Simplifying 5977 yields: % 33.53/9.40 | (369) ~ (all_0_41_41 = e2) % 33.53/9.40 | % 33.53/9.40 | Equations (917) can reduce 8 to: % 33.53/9.40 | (2639) ~ (all_0_43_43 = e2) % 33.53/9.40 | % 33.53/9.40 | Simplifying 2639 yields: % 33.53/9.40 | (253) ~ (all_0_43_43 = e2) % 33.53/9.40 | % 33.53/9.40 | Equations (917) can reduce 53 to: % 33.53/9.40 | (13220) ~ (all_0_48_48 = e2) % 33.53/9.40 | % 33.53/9.40 | Simplifying 13220 yields: % 33.53/9.40 | (544) ~ (all_0_48_48 = e2) % 33.53/9.40 | % 33.53/9.40 | Equations (917) can reduce 57 to: % 33.53/9.40 | (2174) ~ (all_0_56_56 = e2) % 33.53/9.40 | % 33.53/9.40 | Simplifying 2174 yields: % 33.53/9.40 | (594) ~ (all_0_56_56 = e2) % 33.53/9.40 | % 33.53/9.40 | Equations (917) can reduce 844 to: % 33.53/9.40 | (261) ~ (e4 = e2) % 33.53/9.40 | % 33.53/9.40 | Simplifying 261 yields: % 33.53/9.40 | (231) ~ (e4 = e2) % 33.53/9.40 | % 33.53/9.40 | Equations (917) can reduce 432 to: % 33.53/9.40 | (577) ~ (e3 = e2) % 33.53/9.40 | % 33.53/9.40 | Simplifying 577 yields: % 33.53/9.40 | (223) ~ (e3 = e2) % 33.53/9.40 | % 33.53/9.40 | Equations (917) can reduce 288 to: % 33.53/9.40 | (51) ~ (e2 = e0) % 33.53/9.40 | % 33.53/9.40 | From (917) and (168) follows: % 33.53/9.40 | (1123) op(e4, e4) = e2 % 33.53/9.40 | % 33.53/9.40 | Instantiating formula (29) with e4, e4, e2, all_0_7_7 and discharging atoms op(e4, e4) = all_0_7_7, op(e4, e4) = e2, yields: % 33.53/9.40 | (5545) all_0_7_7 = e2 % 33.53/9.40 | % 33.53/9.40 | Instantiating formula (29) with e2, e2, all_0_21_21, e3 and discharging atoms op(e2, e2) = all_0_21_21, op(e2, e2) = e3, yields: % 33.53/9.40 | (2622) all_0_21_21 = e3 % 33.53/9.40 | % 33.53/9.40 | From (5545) and (2558) follows: % 33.53/9.40 | (1123) op(e4, e4) = e2 % 33.53/9.40 | % 33.53/9.40 | From (2622) and (2490) follows: % 33.53/9.40 | (83) op(e2, e2) = e3 % 33.53/9.40 | % 33.53/9.40 +-Applying beta-rule and splitting (234), into two cases. % 33.53/9.40 |-Branch one: % 33.53/9.40 | (609) all_0_48_48 = e4 % 33.53/9.40 | % 33.53/9.40 | Equations (609) can reduce 48 to: % 33.53/9.40 | (610) ~ (all_0_50_50 = e4) % 33.53/9.40 | % 33.53/9.40 | Simplifying 610 yields: % 33.53/9.40 | (611) ~ (all_0_50_50 = e4) % 33.53/9.40 | % 33.53/9.40 +-Applying beta-rule and splitting (139), into two cases. % 33.53/9.40 |-Branch one: % 33.53/9.40 | (614) all_0_43_43 = e4 % 33.53/9.40 | % 33.53/9.40 | Equations (614) can reduce 712 to: % 33.53/9.40 | (303) $false % 33.53/9.40 | % 33.53/9.40 |-The branch is then unsatisfiable % 33.53/9.40 |-Branch two: % 33.53/9.40 | (712) ~ (all_0_43_43 = e4) % 33.53/9.40 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 33.53/9.40 | % 33.53/9.40 +-Applying beta-rule and splitting (367), into two cases. % 33.53/9.40 |-Branch one: % 33.53/9.40 | (714) all_0_50_50 = e4 % 33.53/9.40 | % 33.53/9.40 | Equations (714) can reduce 611 to: % 33.53/9.40 | (303) $false % 33.53/9.40 | % 33.53/9.40 |-The branch is then unsatisfiable % 33.53/9.40 |-Branch two: % 33.53/9.40 | (611) ~ (all_0_50_50 = e4) % 33.53/9.40 | (627) all_0_50_50 = e1 % 33.53/9.40 | % 33.53/9.40 | Equations (627) can reduce 238 to: % 33.53/9.40 | (622) ~ (all_0_43_43 = e1) % 33.53/9.40 | % 33.53/9.40 | Equations (627) can reduce 126 to: % 33.53/9.40 | (3274) ~ (all_0_59_59 = e1) % 33.53/9.40 | % 33.53/9.40 | Simplifying 3274 yields: % 33.53/9.40 | (603) ~ (all_0_59_59 = e1) % 33.53/9.40 | % 33.53/9.40 | Equations (627) can reduce 611 to: % 33.53/9.40 | (605) ~ (e4 = e1) % 33.53/9.40 | % 33.53/9.40 | Simplifying 605 yields: % 33.53/9.40 | (247) ~ (e4 = e1) % 33.53/9.40 | % 33.53/9.40 | Equations (627) can reduce 15 to: % 33.53/9.40 | (465) ~ (e3 = e1) % 33.53/9.40 | % 33.53/9.40 | Simplifying 465 yields: % 33.53/9.40 | (136) ~ (e3 = e1) % 33.53/9.40 | % 33.53/9.40 | Equations (627) can reduce 258 to: % 33.53/9.40 | (565) ~ (e2 = e1) % 33.53/9.40 | % 33.53/9.40 | Simplifying 565 yields: % 33.53/9.40 | (144) ~ (e2 = e1) % 33.53/9.40 | % 33.53/9.40 +-Applying beta-rule and splitting (44), into two cases. % 33.53/9.40 |-Branch one: % 33.53/9.40 | (624) all_0_40_40 = e1 % 33.53/9.40 | % 33.53/9.40 | Combining equations (917,624) yields a new equation: % 33.53/9.40 | (584) e2 = e1 % 33.53/9.40 | % 33.53/9.40 | Simplifying 584 yields: % 33.53/9.40 | (585) e2 = e1 % 33.53/9.40 | % 33.53/9.40 | Equations (585) can reduce 144 to: % 33.53/9.40 | (303) $false % 33.53/9.40 | % 33.53/9.40 |-The branch is then unsatisfiable % 33.53/9.40 |-Branch two: % 33.53/9.40 | (683) ~ (all_0_40_40 = e1) % 33.53/9.40 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 33.53/9.40 | % 33.53/9.40 +-Applying beta-rule and splitting (688), into two cases. % 33.53/9.40 |-Branch one: % 33.53/9.40 | (696) all_0_41_41 = e1 % 33.53/9.40 | % 33.53/9.40 | Equations (696) can reduce 11 to: % 33.53/9.41 | (11300) ~ (all_0_57_57 = e1) % 33.53/9.41 | % 33.53/9.41 | Simplifying 11300 yields: % 33.53/9.41 | (592) ~ (all_0_57_57 = e1) % 33.53/9.41 | % 33.53/9.41 | Equations (696) can reduce 192 to: % 33.53/9.41 | (605) ~ (e4 = e1) % 33.53/9.41 | % 33.53/9.41 | Simplifying 605 yields: % 33.53/9.41 | (247) ~ (e4 = e1) % 33.53/9.41 | % 33.53/9.41 | Equations (696) can reduce 369 to: % 33.53/9.41 | (565) ~ (e2 = e1) % 33.53/9.41 | % 33.53/9.41 | Simplifying 565 yields: % 33.53/9.41 | (144) ~ (e2 = e1) % 33.53/9.41 | % 33.53/9.41 | From (696) and (211) follows: % 33.53/9.41 | (6426) op(e1, e4) = all_0_1_1 % 33.53/9.41 | % 33.53/9.41 | From (696) and (26) follows: % 33.53/9.41 | (13268) op(e1, e3) = all_0_2_2 % 33.53/9.41 | % 33.53/9.41 +-Applying beta-rule and splitting (237), into two cases. % 33.53/9.41 |-Branch one: % 33.53/9.41 | (431) all_0_41_41 = e3 % 33.53/9.41 | % 33.53/9.41 | Combining equations (696,431) yields a new equation: % 33.53/9.41 | (601) e3 = e1 % 33.53/9.41 | % 33.53/9.41 | Equations (601) can reduce 136 to: % 33.53/9.41 | (303) $false % 33.53/9.41 | % 33.53/9.41 |-The branch is then unsatisfiable % 33.53/9.41 |-Branch two: % 33.53/9.41 | (996) ~ (all_0_41_41 = e3) % 33.53/9.41 | (997) all_0_53_53 = e3 | all_0_57_57 = e3 % 33.53/9.41 | % 33.53/9.41 +-Applying beta-rule and splitting (250), into two cases. % 33.53/9.41 |-Branch one: % 33.53/9.41 | (897) all_0_57_57 = e2 % 33.53/9.41 | % 33.53/9.41 | Equations (897) can reduce 377 to: % 33.53/9.41 | (303) $false % 33.53/9.41 | % 33.53/9.41 |-The branch is then unsatisfiable % 33.53/9.41 |-Branch two: % 33.53/9.41 | (377) ~ (all_0_57_57 = e2) % 33.53/9.41 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 33.53/9.41 | % 33.53/9.41 +-Applying beta-rule and splitting (713), into two cases. % 33.53/9.41 |-Branch one: % 33.53/9.41 | (714) all_0_50_50 = e4 % 33.53/9.41 | % 33.53/9.41 | Combining equations (714,627) yields a new equation: % 33.53/9.41 | (540) e4 = e1 % 33.53/9.41 | % 33.53/9.41 | Simplifying 540 yields: % 33.53/9.41 | (541) e4 = e1 % 33.53/9.41 | % 33.53/9.41 | Equations (541) can reduce 247 to: % 33.53/9.41 | (303) $false % 33.53/9.41 | % 33.53/9.41 |-The branch is then unsatisfiable % 33.53/9.41 |-Branch two: % 33.53/9.41 | (611) ~ (all_0_50_50 = e4) % 33.53/9.41 | (717) all_0_59_59 = e4 % 33.53/9.41 | % 33.53/9.41 | Equations (717) can reduce 249 to: % 33.53/9.41 | (712) ~ (all_0_43_43 = e4) % 33.53/9.41 | % 33.53/9.41 | Equations (717) can reduce 42 to: % 33.53/9.41 | (345) ~ (all_0_56_56 = e4) % 33.53/9.41 | % 33.53/9.41 | Equations (717) can reduce 222 to: % 33.53/9.41 | (202) ~ (all_0_57_57 = e4) % 33.53/9.41 | % 33.53/9.41 | Equations (717) can reduce 603 to: % 33.53/9.41 | (247) ~ (e4 = e1) % 33.53/9.41 | % 33.53/9.41 | From (717) and (90) follows: % 33.53/9.41 | (3322) op(e0, e1) = e4 % 33.53/9.41 | % 33.53/9.41 +-Applying beta-rule and splitting (137), into two cases. % 33.53/9.41 |-Branch one: % 33.53/9.41 | (447) all_0_43_43 = e3 % 33.53/9.41 | % 33.53/9.41 | Equations (447) can reduce 712 to: % 33.53/9.41 | (439) ~ (e4 = e3) % 33.53/9.41 | % 33.53/9.41 | Simplifying 439 yields: % 33.53/9.41 | (30) ~ (e4 = e3) % 33.53/9.41 | % 33.53/9.41 | Equations (447) can reduce 117 to: % 33.53/9.41 | (70) ~ (e3 = e0) % 33.53/9.41 | % 33.53/9.41 | From (447) and (89) follows: % 33.53/9.41 | (3297) op(e3, e4) = all_0_5_5 % 33.53/9.41 | % 33.53/9.41 +-Applying beta-rule and splitting (175), into two cases. % 33.53/9.41 |-Branch one: % 33.53/9.41 | (624) all_0_40_40 = e1 % 33.53/9.41 | % 33.53/9.41 | Combining equations (917,624) yields a new equation: % 33.53/9.41 | (584) e2 = e1 % 33.53/9.41 | % 33.53/9.41 | Simplifying 584 yields: % 33.53/9.41 | (585) e2 = e1 % 33.53/9.41 | % 33.53/9.41 | Equations (585) can reduce 144 to: % 33.53/9.41 | (303) $false % 33.53/9.41 | % 33.53/9.41 |-The branch is then unsatisfiable % 33.53/9.41 |-Branch two: % 33.53/9.41 | (683) ~ (all_0_40_40 = e1) % 33.53/9.41 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 33.53/9.41 | % 33.53/9.41 +-Applying beta-rule and splitting (209), into two cases. % 33.53/9.41 |-Branch one: % 33.53/9.41 | (1111) all_0_56_56 = e3 % 33.53/9.41 | % 33.53/9.41 | Equations (1111) can reduce 526 to: % 33.53/9.41 | (303) $false % 33.53/9.41 | % 33.53/9.41 |-The branch is then unsatisfiable % 33.53/9.41 |-Branch two: % 33.53/9.41 | (526) ~ (all_0_56_56 = e3) % 33.53/9.41 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 33.53/9.41 | % 33.53/9.41 +-Applying beta-rule and splitting (245), into two cases. % 33.53/9.41 |-Branch one: % 33.53/9.41 | (583) all_0_56_56 = e1 % 33.53/9.41 | % 33.53/9.41 | Equations (583) can reduce 345 to: % 33.53/9.41 | (605) ~ (e4 = e1) % 33.53/9.41 | % 33.53/9.41 | Simplifying 605 yields: % 33.53/9.41 | (247) ~ (e4 = e1) % 33.53/9.41 | % 33.53/9.41 | Equations (583) can reduce 296 to: % 33.53/9.41 | (134) ~ (e1 = e0) % 33.53/9.41 | % 33.53/9.41 | From (583) and (185) follows: % 33.53/9.41 | (3485) op(e1, e4) = all_0_32_32 % 33.53/9.41 | % 33.53/9.41 | Instantiating formula (29) with e3, e4, all_0_5_5, e0 and discharging atoms op(e3, e4) = all_0_5_5, op(e3, e4) = e0, yields: % 33.53/9.41 | (3325) all_0_5_5 = e0 % 33.53/9.41 | % 33.53/9.41 | Instantiating formula (29) with e1, e4, all_0_1_1, e3 and discharging atoms op(e1, e4) = all_0_1_1, op(e1, e4) = e3, yields: % 33.53/9.41 | (13310) all_0_1_1 = e3 % 33.53/9.41 | % 33.53/9.41 | Instantiating formula (29) with e1, e4, all_0_32_32, all_0_1_1 and discharging atoms op(e1, e4) = all_0_1_1, op(e1, e4) = all_0_32_32, yields: % 33.53/9.41 | (11410) all_0_1_1 = all_0_32_32 % 33.53/9.41 | % 33.53/9.41 | Instantiating formula (29) with e1, e3, all_0_2_2, e2 and discharging atoms op(e1, e3) = all_0_2_2, op(e1, e3) = e2, yields: % 33.53/9.41 | (13312) all_0_2_2 = e2 % 33.53/9.41 | % 33.53/9.41 | Combining equations (13310,11410) yields a new equation: % 33.53/9.41 | (3595) all_0_32_32 = e3 % 33.53/9.41 | % 33.53/9.41 | From (3325) and (3297) follows: % 33.53/9.41 | (301) op(e3, e4) = e0 % 33.53/9.41 | % 33.53/9.41 | From (3595) and (3485) follows: % 33.53/9.41 | (430) op(e1, e4) = e3 % 33.53/9.41 | % 33.53/9.41 | From (13312) and (13268) follows: % 33.53/9.41 | (12586) op(e1, e3) = e2 % 33.53/9.41 | % 33.53/9.41 +-Applying beta-rule and splitting (62), into two cases. % 33.53/9.41 |-Branch one: % 33.53/9.41 | (631) unit = e2 % 33.53/9.41 | % 33.53/9.41 | From (631) and (232) follows: % 33.53/9.41 | (2714) op(e2, e3) = e3 % 33.53/9.41 | % 33.53/9.41 | From (631) and (98) follows: % 33.53/9.41 | (5015) op(e3, e2) = e3 % 33.53/9.41 | % 33.53/9.41 | From (631) and (74) follows: % 33.53/9.41 | (2715) op(e2, e2) = e2 % 33.53/9.41 | % 33.53/9.41 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 33.53/9.41 | (601) e3 = e1 % 33.53/9.41 | % 33.53/9.41 | Instantiating formula (29) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields: % 33.53/9.41 | (497) e3 = e0 % 33.53/9.41 | % 33.53/9.41 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 33.53/9.41 | (453) e3 = e2 % 33.53/9.41 | % 33.53/9.41 | Combining equations (601,453) yields a new equation: % 33.53/9.41 | (585) e2 = e1 % 33.53/9.41 | % 33.53/9.41 | Combining equations (497,453) yields a new equation: % 33.53/9.41 | (385) e2 = e0 % 33.53/9.41 | % 33.53/9.41 | Combining equations (585,385) yields a new equation: % 33.53/9.41 | (670) e1 = e0 % 33.53/9.41 | % 33.53/9.41 | Simplifying 670 yields: % 33.53/9.41 | (590) e1 = e0 % 33.53/9.41 | % 33.53/9.41 | Equations (590) can reduce 134 to: % 33.53/9.41 | (303) $false % 33.53/9.41 | % 33.53/9.41 |-The branch is then unsatisfiable % 33.53/9.41 |-Branch two: % 33.53/9.41 | (599) ~ (unit = e2) % 33.53/9.41 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 33.53/9.41 | % 33.53/9.41 +-Applying beta-rule and splitting (634), into two cases. % 33.53/9.41 |-Branch one: % 33.53/9.41 | (635) unit = e4 % 33.53/9.41 | % 33.53/9.41 | From (635) and (98) follows: % 33.53/9.41 | (2729) op(e3, e4) = e3 % 33.53/9.41 | % 33.53/9.41 | From (635) and (190) follows: % 33.53/9.41 | (1178) op(e1, e4) = e1 % 33.53/9.41 | % 33.53/9.41 | Instantiating formula (29) with e3, e4, e3, e0 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e0, yields: % 33.53/9.41 | (497) e3 = e0 % 33.53/9.41 | % 33.53/9.41 | Instantiating formula (29) with e1, e4, e1, e3 and discharging atoms op(e1, e4) = e3, op(e1, e4) = e1, yields: % 33.53/9.41 | (601) e3 = e1 % 33.53/9.41 | % 33.53/9.41 | Combining equations (497,601) yields a new equation: % 33.53/9.41 | (590) e1 = e0 % 33.53/9.41 | % 33.53/9.41 | Equations (590) can reduce 134 to: % 33.53/9.41 | (303) $false % 33.53/9.41 | % 33.53/9.41 |-The branch is then unsatisfiable % 33.53/9.41 |-Branch two: % 33.53/9.41 | (484) ~ (unit = e4) % 33.53/9.41 | (647) unit = e3 | unit = e1 | unit = e0 % 33.53/9.41 | % 33.53/9.41 +-Applying beta-rule and splitting (647), into two cases. % 33.53/9.41 |-Branch one: % 33.53/9.41 | (648) unit = e1 % 33.53/9.41 | % 33.53/9.41 | Equations (648) can reduce 510 to: % 33.53/9.41 | (303) $false % 33.53/9.41 | % 33.53/9.41 |-The branch is then unsatisfiable % 33.53/9.41 |-Branch two: % 33.53/9.41 | (510) ~ (unit = e1) % 33.53/9.41 | (659) unit = e3 | unit = e0 % 33.53/9.41 | % 33.53/9.41 +-Applying beta-rule and splitting (659), into two cases. % 33.53/9.41 |-Branch one: % 33.53/9.41 | (660) unit = e0 % 33.53/9.41 | % 33.53/9.41 | From (660) and (38) follows: % 33.53/9.41 | (2749) op(e0, e1) = e1 % 33.53/9.41 | % 33.53/9.41 | Instantiating formula (29) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields: % 33.53/9.41 | (541) e4 = e1 % 33.53/9.41 | % 33.53/9.41 | Equations (541) can reduce 247 to: % 33.53/9.41 | (303) $false % 33.53/9.41 | % 33.53/9.41 |-The branch is then unsatisfiable % 33.53/9.41 |-Branch two: % 33.53/9.41 | (537) ~ (unit = e0) % 33.53/9.41 | (674) unit = e3 % 33.53/9.41 | % 33.53/9.41 | From (674) and (74) follows: % 33.53/9.41 | (8513) op(e2, e3) = e2 % 33.53/9.41 | % 33.53/9.41 | From (674) and (190) follows: % 33.53/9.41 | (468) op(e1, e3) = e1 % 33.53/9.41 | % 33.53/9.41 | Instantiating formula (29) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields: % 33.53/9.41 | (385) e2 = e0 % 33.53/9.41 | % 33.53/9.41 | Instantiating formula (29) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 33.61/9.41 | (585) e2 = e1 % 33.61/9.41 | % 33.61/9.41 | Combining equations (585,385) yields a new equation: % 33.61/9.41 | (670) e1 = e0 % 33.61/9.41 | % 33.61/9.41 | Simplifying 670 yields: % 33.61/9.41 | (590) e1 = e0 % 33.61/9.41 | % 33.61/9.41 | Equations (590) can reduce 134 to: % 33.61/9.42 | (303) $false % 33.61/9.42 | % 33.61/9.42 |-The branch is then unsatisfiable % 33.61/9.42 |-Branch two: % 33.61/9.42 | (587) ~ (all_0_56_56 = e1) % 33.61/9.42 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 33.61/9.42 | % 33.61/9.42 +-Applying beta-rule and splitting (2652), into two cases. % 33.61/9.42 |-Branch one: % 33.61/9.42 | (589) all_0_57_57 = e1 % 33.61/9.42 | % 33.61/9.42 | Equations (589) can reduce 592 to: % 33.61/9.42 | (303) $false % 33.61/9.42 | % 33.61/9.42 |-The branch is then unsatisfiable % 33.61/9.42 |-Branch two: % 33.61/9.42 | (592) ~ (all_0_57_57 = e1) % 33.61/9.42 | (3062) all_0_57_57 = e3 | all_0_57_57 = e0 % 33.61/9.42 | % 33.61/9.42 +-Applying beta-rule and splitting (141), into two cases. % 33.61/9.42 |-Branch one: % 33.61/9.42 | (580) all_0_56_56 = e2 % 33.61/9.42 | % 33.61/9.42 | Equations (580) can reduce 594 to: % 33.61/9.42 | (303) $false % 33.61/9.42 | % 33.61/9.42 |-The branch is then unsatisfiable % 33.61/9.42 |-Branch two: % 33.61/9.42 | (594) ~ (all_0_56_56 = e2) % 33.61/9.42 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 33.61/9.42 | % 33.61/9.42 +-Applying beta-rule and splitting (1491), into two cases. % 33.61/9.42 |-Branch one: % 33.61/9.42 | (1001) all_0_57_57 = e3 % 33.61/9.42 | % 33.61/9.42 | Equations (1001) can reduce 592 to: % 33.61/9.42 | (136) ~ (e3 = e1) % 33.61/9.42 | % 33.61/9.42 +-Applying beta-rule and splitting (979), into two cases. % 33.61/9.42 |-Branch one: % 33.61/9.42 | (877) all_0_56_56 = e4 % 33.61/9.42 | % 33.61/9.42 | Equations (877) can reduce 345 to: % 33.61/9.42 | (303) $false % 33.61/9.42 | % 33.61/9.42 |-The branch is then unsatisfiable % 33.61/9.42 |-Branch two: % 33.61/9.42 | (345) ~ (all_0_56_56 = e4) % 33.61/9.42 | (2325) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 33.61/9.42 | % 33.61/9.42 +-Applying beta-rule and splitting (684), into two cases. % 33.61/9.42 |-Branch one: % 33.61/9.42 | (748) all_0_48_48 = e1 % 33.61/9.42 | % 33.61/9.42 | Combining equations (609,748) yields a new equation: % 33.61/9.42 | (540) e4 = e1 % 33.61/9.42 | % 33.61/9.42 | Simplifying 540 yields: % 33.61/9.42 | (541) e4 = e1 % 33.61/9.42 | % 33.61/9.42 | Equations (541) can reduce 247 to: % 33.61/9.42 | (303) $false % 33.61/9.42 | % 33.61/9.42 |-The branch is then unsatisfiable % 33.61/9.42 |-Branch two: % 33.61/9.42 | (802) ~ (all_0_48_48 = e1) % 33.61/9.42 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 33.61/9.42 | % 33.61/9.42 +-Applying beta-rule and splitting (2325), into two cases. % 33.61/9.42 |-Branch one: % 33.61/9.42 | (583) all_0_56_56 = e1 % 33.61/9.42 | % 33.61/9.42 | Equations (583) can reduce 587 to: % 33.61/9.42 | (303) $false % 33.61/9.42 | % 33.61/9.42 |-The branch is then unsatisfiable % 33.61/9.42 |-Branch two: % 33.61/9.42 | (587) ~ (all_0_56_56 = e1) % 33.61/9.42 | (2329) all_0_56_56 = e3 | all_0_56_56 = e0 % 33.61/9.42 | % 33.61/9.42 +-Applying beta-rule and splitting (807), into two cases. % 33.61/9.42 |-Branch one: % 33.61/9.42 | (1070) all_0_52_52 = e1 % 33.61/9.42 | % 33.61/9.42 | Combining equations (425,1070) yields a new equation: % 33.61/9.42 | (680) e3 = e1 % 33.61/9.42 | % 33.61/9.42 | Simplifying 680 yields: % 33.61/9.42 | (601) e3 = e1 % 33.61/9.42 | % 33.61/9.42 | Equations (601) can reduce 136 to: % 33.61/9.42 | (303) $false % 33.61/9.42 | % 33.61/9.42 |-The branch is then unsatisfiable % 33.61/9.42 |-Branch two: % 33.61/9.42 | (502) ~ (all_0_52_52 = e1) % 33.61/9.42 | (583) all_0_56_56 = e1 % 33.61/9.42 | % 33.61/9.42 | Equations (583) can reduce 587 to: % 33.61/9.42 | (303) $false % 33.61/9.42 | % 33.61/9.42 |-The branch is then unsatisfiable % 33.61/9.42 |-Branch two: % 33.61/9.42 | (2590) ~ (all_0_57_57 = e3) % 33.61/9.42 | (2977) all_0_59_59 = e3 | all_0_60_60 = e3 % 33.61/9.42 | % 33.61/9.42 +-Applying beta-rule and splitting (2977), into two cases. % 33.61/9.42 |-Branch one: % 33.61/9.42 | (456) all_0_59_59 = e3 % 33.61/9.42 | % 33.61/9.42 | Combining equations (456,717) yields a new equation: % 33.61/9.42 | (443) e4 = e3 % 33.61/9.42 | % 33.61/9.42 | Equations (443) can reduce 30 to: % 33.61/9.42 | (303) $false % 33.61/9.42 | % 33.61/9.42 |-The branch is then unsatisfiable % 33.61/9.42 |-Branch two: % 33.61/9.42 | (1031) ~ (all_0_59_59 = e3) % 33.61/9.42 | (1937) all_0_60_60 = e3 % 33.61/9.42 | % 33.61/9.42 | Combining equations (1934,1937) yields a new equation: % 33.61/9.42 | (497) e3 = e0 % 33.61/9.42 | % 33.61/9.42 | Equations (497) can reduce 70 to: % 33.61/9.42 | (303) $false % 33.61/9.42 | % 33.61/9.42 |-The branch is then unsatisfiable % 33.61/9.42 |-Branch two: % 33.61/9.42 | (434) ~ (all_0_43_43 = e3) % 33.61/9.42 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 33.61/9.42 | % 33.61/9.42 +-Applying beta-rule and splitting (245), into two cases. % 33.61/9.42 |-Branch one: % 33.61/9.42 | (583) all_0_56_56 = e1 % 33.61/9.42 | % 33.61/9.42 | Equations (583) can reduce 172 to: % 33.61/9.42 | (11300) ~ (all_0_57_57 = e1) % 33.61/9.42 | % 33.61/9.42 | Simplifying 11300 yields: % 33.61/9.42 | (592) ~ (all_0_57_57 = e1) % 33.61/9.42 | % 33.61/9.42 +-Applying beta-rule and splitting (200), into two cases. % 33.61/9.42 |-Branch one: % 33.61/9.42 | (1102) all_0_40_40 = e3 % 33.61/9.42 | % 33.61/9.42 | Combining equations (917,1102) yields a new equation: % 33.61/9.42 | (453) e3 = e2 % 33.61/9.42 | % 33.61/9.42 | Equations (453) can reduce 223 to: % 33.61/9.42 | (303) $false % 33.61/9.42 | % 33.61/9.42 |-The branch is then unsatisfiable % 33.61/9.42 |-Branch two: % 33.61/9.42 | (432) ~ (all_0_40_40 = e3) % 33.61/9.42 | (2138) all_0_41_41 = e3 | all_0_43_43 = e3 | all_0_44_44 = e3 % 33.61/9.42 | % 33.61/9.42 | Equations (917) can reduce 432 to: % 33.61/9.42 | (577) ~ (e3 = e2) % 33.61/9.42 | % 33.61/9.42 | Simplifying 577 yields: % 33.61/9.42 | (223) ~ (e3 = e2) % 33.61/9.42 | % 33.61/9.42 +-Applying beta-rule and splitting (997), into two cases. % 33.61/9.42 |-Branch one: % 33.61/9.42 | (994) all_0_53_53 = e3 % 33.61/9.42 | % 33.61/9.42 | Combining equations (994,360) yields a new equation: % 33.61/9.42 | (452) e3 = e2 % 33.61/9.42 | % 33.61/9.42 | Simplifying 452 yields: % 33.61/9.42 | (453) e3 = e2 % 33.61/9.42 | % 33.61/9.42 | Equations (453) can reduce 223 to: % 33.61/9.42 | (303) $false % 33.61/9.42 | % 33.61/9.42 |-The branch is then unsatisfiable % 33.61/9.42 |-Branch two: % 33.61/9.42 | (428) ~ (all_0_53_53 = e3) % 33.61/9.42 | (1001) all_0_57_57 = e3 % 33.61/9.42 | % 33.61/9.42 | Equations (1001) can reduce 202 to: % 33.61/9.42 | (439) ~ (e4 = e3) % 33.61/9.42 | % 33.61/9.42 | Simplifying 439 yields: % 33.61/9.42 | (30) ~ (e4 = e3) % 33.61/9.42 | % 33.61/9.42 | Equations (1001) can reduce 592 to: % 33.61/9.42 | (136) ~ (e3 = e1) % 33.61/9.42 | % 33.61/9.42 +-Applying beta-rule and splitting (2138), into two cases. % 33.61/9.42 |-Branch one: % 33.61/9.42 | (431) all_0_41_41 = e3 % 33.61/9.42 | % 33.61/9.42 | Combining equations (696,431) yields a new equation: % 33.61/9.42 | (601) e3 = e1 % 33.61/9.42 | % 33.61/9.42 | Equations (601) can reduce 136 to: % 33.61/9.42 | (303) $false % 33.61/9.42 | % 33.61/9.42 |-The branch is then unsatisfiable % 33.61/9.42 |-Branch two: % 33.61/9.42 | (996) ~ (all_0_41_41 = e3) % 33.61/9.42 | (5989) all_0_43_43 = e3 | all_0_44_44 = e3 % 33.61/9.42 | % 33.61/9.42 +-Applying beta-rule and splitting (5989), into two cases. % 33.61/9.42 |-Branch one: % 33.61/9.42 | (447) all_0_43_43 = e3 % 33.61/9.42 | % 33.61/9.42 | Equations (447) can reduce 434 to: % 33.61/9.42 | (303) $false % 33.61/9.42 | % 33.61/9.42 |-The branch is then unsatisfiable % 33.61/9.42 |-Branch two: % 33.61/9.42 | (434) ~ (all_0_43_43 = e3) % 33.61/9.42 | (2081) all_0_44_44 = e3 % 33.61/9.42 | % 33.61/9.42 | Combining equations (1096,2081) yields a new equation: % 33.61/9.42 | (718) e4 = e3 % 33.61/9.42 | % 33.61/9.42 | Simplifying 718 yields: % 33.61/9.42 | (443) e4 = e3 % 33.61/9.42 | % 33.61/9.42 | Equations (443) can reduce 30 to: % 33.61/9.42 | (303) $false % 33.61/9.42 | % 33.61/9.42 |-The branch is then unsatisfiable % 33.61/9.42 |-Branch two: % 33.61/9.42 | (587) ~ (all_0_56_56 = e1) % 33.61/9.42 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 33.61/9.42 | % 33.61/9.42 +-Applying beta-rule and splitting (141), into two cases. % 33.61/9.42 |-Branch one: % 33.61/9.42 | (580) all_0_56_56 = e2 % 33.61/9.42 | % 33.61/9.42 | Equations (580) can reduce 594 to: % 33.61/9.42 | (303) $false % 33.61/9.42 | % 33.61/9.42 |-The branch is then unsatisfiable % 33.61/9.42 |-Branch two: % 33.61/9.42 | (594) ~ (all_0_56_56 = e2) % 33.61/9.42 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 33.61/9.42 | % 33.61/9.42 +-Applying beta-rule and splitting (2652), into two cases. % 33.61/9.42 |-Branch one: % 33.61/9.42 | (589) all_0_57_57 = e1 % 33.61/9.42 | % 33.61/9.42 | Equations (589) can reduce 592 to: % 33.61/9.42 | (303) $false % 33.61/9.42 | % 33.61/9.42 |-The branch is then unsatisfiable % 33.61/9.42 |-Branch two: % 33.61/9.42 | (592) ~ (all_0_57_57 = e1) % 33.61/9.42 | (3062) all_0_57_57 = e3 | all_0_57_57 = e0 % 33.61/9.42 | % 33.61/9.42 +-Applying beta-rule and splitting (3062), into two cases. % 33.61/9.42 |-Branch one: % 33.61/9.42 | (407) all_0_57_57 = e0 % 33.61/9.42 | % 33.61/9.42 | Equations (407) can reduce 2273 to: % 33.61/9.42 | (303) $false % 33.61/9.42 | % 33.61/9.42 |-The branch is then unsatisfiable % 33.61/9.42 |-Branch two: % 33.61/9.42 | (2273) ~ (all_0_57_57 = e0) % 33.61/9.42 | (1001) all_0_57_57 = e3 % 33.61/9.42 | % 33.61/9.42 | Equations (1001) can reduce 172 to: % 33.61/9.42 | (526) ~ (all_0_56_56 = e3) % 33.61/9.42 | % 33.61/9.42 +-Applying beta-rule and splitting (979), into two cases. % 33.61/9.42 |-Branch one: % 33.61/9.42 | (877) all_0_56_56 = e4 % 33.61/9.42 | % 33.61/9.42 | Equations (877) can reduce 345 to: % 33.61/9.42 | (303) $false % 33.61/9.42 | % 33.61/9.42 |-The branch is then unsatisfiable % 33.61/9.42 |-Branch two: % 33.61/9.42 | (345) ~ (all_0_56_56 = e4) % 33.61/9.42 | (2325) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 33.61/9.42 | % 33.61/9.42 +-Applying beta-rule and splitting (2325), into two cases. % 33.61/9.42 |-Branch one: % 33.61/9.42 | (583) all_0_56_56 = e1 % 33.61/9.42 | % 33.61/9.42 | Equations (583) can reduce 587 to: % 33.61/9.42 | (303) $false % 33.61/9.42 | % 33.61/9.42 |-The branch is then unsatisfiable % 33.61/9.42 |-Branch two: % 33.61/9.42 | (587) ~ (all_0_56_56 = e1) % 33.61/9.42 | (2329) all_0_56_56 = e3 | all_0_56_56 = e0 % 33.61/9.42 | % 33.61/9.42 +-Applying beta-rule and splitting (2329), into two cases. % 33.61/9.42 |-Branch one: % 33.61/9.42 | (2307) all_0_56_56 = e0 % 33.61/9.42 | % 33.61/9.42 | Equations (2307) can reduce 296 to: % 33.61/9.42 | (303) $false % 33.61/9.42 | % 33.61/9.42 |-The branch is then unsatisfiable % 33.61/9.42 |-Branch two: % 33.61/9.42 | (296) ~ (all_0_56_56 = e0) % 33.61/9.42 | (1111) all_0_56_56 = e3 % 33.61/9.42 | % 33.61/9.42 | Equations (1111) can reduce 526 to: % 33.61/9.42 | (303) $false % 33.61/9.42 | % 33.61/9.42 |-The branch is then unsatisfiable % 33.61/9.42 |-Branch two: % 33.61/9.42 | (699) ~ (all_0_41_41 = e1) % 33.61/9.42 | (700) all_0_43_43 = e1 | all_0_44_44 = e1 % 33.61/9.42 | % 33.61/9.42 +-Applying beta-rule and splitting (700), into two cases. % 33.61/9.42 |-Branch one: % 33.61/9.42 | (618) all_0_43_43 = e1 % 33.61/9.42 | % 33.61/9.42 | Equations (618) can reduce 622 to: % 33.61/9.42 | (303) $false % 33.61/9.42 | % 33.61/9.42 |-The branch is then unsatisfiable % 33.61/9.42 |-Branch two: % 33.61/9.42 | (622) ~ (all_0_43_43 = e1) % 33.61/9.42 | (705) all_0_44_44 = e1 % 33.61/9.42 | % 33.61/9.42 | Combining equations (1096,705) yields a new equation: % 33.61/9.42 | (540) e4 = e1 % 33.61/9.42 | % 33.61/9.42 | Simplifying 540 yields: % 33.61/9.42 | (541) e4 = e1 % 33.61/9.42 | % 33.61/9.42 | Equations (541) can reduce 247 to: % 33.61/9.42 | (303) $false % 33.61/9.42 | % 33.61/9.42 |-The branch is then unsatisfiable % 33.61/9.42 |-Branch two: % 33.61/9.42 | (721) ~ (all_0_48_48 = e4) % 33.61/9.42 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 33.61/9.42 | % 33.61/9.42 +-Applying beta-rule and splitting (722), into two cases. % 33.61/9.42 |-Branch one: % 33.61/9.42 | (714) all_0_50_50 = e4 % 33.61/9.42 | % 33.61/9.42 | Combining equations (714,268) yields a new equation: % 33.61/9.42 | (10794) all_0_12_12 = e4 % 33.61/9.42 | % 33.61/9.42 | Equations (714) can reduce 238 to: % 33.61/9.42 | (712) ~ (all_0_43_43 = e4) % 33.61/9.42 | % 33.61/9.42 | Equations (714) can reduce 126 to: % 33.61/9.42 | (347) ~ (all_0_59_59 = e4) % 33.61/9.42 | % 33.61/9.42 | Simplifying 347 yields: % 33.61/9.42 | (348) ~ (all_0_59_59 = e4) % 33.61/9.42 | % 33.61/9.42 | Equations (714) can reduce 258 to: % 33.61/9.42 | (231) ~ (e4 = e2) % 33.61/9.42 | % 33.61/9.42 | Equations (714) can reduce 207 to: % 33.61/9.42 | (4) ~ (e4 = e0) % 33.61/9.42 | % 33.61/9.42 | From (714) and (110) follows: % 33.61/9.42 | (6028) op(e4, e1) = all_0_20_20 % 33.61/9.42 | % 33.61/9.42 +-Applying beta-rule and splitting (243), into two cases. % 33.61/9.42 |-Branch one: % 33.61/9.42 | (877) all_0_56_56 = e4 % 33.61/9.42 | % 33.61/9.42 | Combining equations (877,319) yields a new equation: % 33.61/9.42 | (13480) all_0_10_10 = e4 % 33.61/9.42 | % 33.61/9.42 | Equations (877) can reduce 2 to: % 33.61/9.42 | (721) ~ (all_0_48_48 = e4) % 33.61/9.42 | % 33.61/9.42 | Equations (877) can reduce 42 to: % 33.61/9.42 | (347) ~ (all_0_59_59 = e4) % 33.61/9.42 | % 33.61/9.42 | Simplifying 347 yields: % 33.61/9.42 | (348) ~ (all_0_59_59 = e4) % 33.61/9.42 | % 33.61/9.42 | Equations (877) can reduce 594 to: % 33.61/9.42 | (231) ~ (e4 = e2) % 33.61/9.42 | % 33.61/9.42 | From (877) and (185) follows: % 33.61/9.43 | (10915) op(e4, e4) = all_0_32_32 % 33.61/9.43 | % 33.61/9.43 | From (877) and (132) follows: % 33.61/9.43 | (1195) op(e0, e4) = e4 % 33.61/9.43 | % 33.61/9.43 +-Applying beta-rule and splitting (212), into two cases. % 33.61/9.43 |-Branch one: % 33.61/9.43 | (727) all_0_48_48 = e2 % 33.61/9.43 | % 33.61/9.43 | Equations (727) can reduce 544 to: % 33.61/9.43 | (303) $false % 33.61/9.43 | % 33.61/9.43 |-The branch is then unsatisfiable % 33.61/9.43 |-Branch two: % 33.61/9.43 | (544) ~ (all_0_48_48 = e2) % 33.61/9.43 | (730) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 33.61/9.43 | % 33.61/9.43 +-Applying beta-rule and splitting (175), into two cases. % 33.61/9.43 |-Branch one: % 33.61/9.43 | (624) all_0_40_40 = e1 % 33.61/9.43 | % 33.61/9.43 | Combining equations (917,624) yields a new equation: % 33.61/9.43 | (584) e2 = e1 % 33.61/9.43 | % 33.61/9.43 | Simplifying 584 yields: % 33.61/9.43 | (585) e2 = e1 % 33.61/9.43 | % 33.61/9.43 | Equations (585) can reduce 144 to: % 33.61/9.43 | (303) $false % 33.61/9.43 | % 33.61/9.43 |-The branch is then unsatisfiable % 33.61/9.43 |-Branch two: % 33.61/9.43 | (683) ~ (all_0_40_40 = e1) % 33.61/9.43 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 33.61/9.43 | % 33.61/9.43 +-Applying beta-rule and splitting (684), into two cases. % 33.61/9.43 |-Branch one: % 33.61/9.43 | (748) all_0_48_48 = e1 % 33.61/9.43 | % 33.61/9.43 | Equations (748) can reduce 34 to: % 33.61/9.43 | (465) ~ (e3 = e1) % 33.61/9.43 | % 33.61/9.43 | Simplifying 465 yields: % 33.61/9.43 | (136) ~ (e3 = e1) % 33.61/9.43 | % 33.61/9.43 | Equations (748) can reduce 544 to: % 33.61/9.43 | (565) ~ (e2 = e1) % 33.61/9.43 | % 33.61/9.43 | Simplifying 565 yields: % 33.61/9.43 | (144) ~ (e2 = e1) % 33.61/9.43 | % 33.61/9.43 | Equations (748) can reduce 292 to: % 33.61/9.43 | (134) ~ (e1 = e0) % 33.61/9.43 | % 33.61/9.43 | From (748) and (187) follows: % 33.61/9.43 | (2611) op(e1, e4) = all_0_16_16 % 33.61/9.43 | % 33.61/9.43 | From (748) and (105) follows: % 33.61/9.43 | (752) op(e2, e4) = e1 % 33.61/9.43 | % 33.61/9.43 | Instantiating formula (29) with e4, e4, all_0_32_32, e2 and discharging atoms op(e4, e4) = all_0_32_32, op(e4, e4) = e2, yields: % 33.61/9.43 | (10938) all_0_32_32 = e2 % 33.61/9.43 | % 33.61/9.43 | Instantiating formula (29) with e4, e1, all_0_20_20, all_0_43_43 and discharging atoms op(e4, e1) = all_0_20_20, op(e4, e1) = all_0_43_43, yields: % 33.61/9.43 | (13506) all_0_20_20 = all_0_43_43 % 33.61/9.43 | % 33.61/9.43 | Instantiating formula (29) with e1, e4, all_0_16_16, e3 and discharging atoms op(e1, e4) = all_0_16_16, op(e1, e4) = e3, yields: % 33.61/9.43 | (13507) all_0_16_16 = e3 % 33.61/9.43 | % 33.61/9.43 | From (10938) and (10915) follows: % 33.61/9.43 | (1123) op(e4, e4) = e2 % 33.61/9.43 | % 33.61/9.43 +-Applying beta-rule and splitting (237), into two cases. % 33.61/9.43 |-Branch one: % 33.61/9.43 | (431) all_0_41_41 = e3 % 33.61/9.43 | % 33.61/9.43 | Equations (431) can reduce 43 to: % 33.61/9.43 | (433) ~ (all_0_43_43 = e3) % 33.61/9.43 | % 33.61/9.43 | Simplifying 433 yields: % 33.61/9.43 | (434) ~ (all_0_43_43 = e3) % 33.61/9.43 | % 33.61/9.43 | Equations (431) can reduce 369 to: % 33.61/9.43 | (223) ~ (e3 = e2) % 33.61/9.43 | % 33.61/9.43 +-Applying beta-rule and splitting (250), into two cases. % 33.61/9.43 |-Branch one: % 33.61/9.43 | (897) all_0_57_57 = e2 % 33.61/9.43 | % 33.61/9.43 | Equations (897) can reduce 377 to: % 33.61/9.43 | (303) $false % 33.61/9.43 | % 33.61/9.43 |-The branch is then unsatisfiable % 33.61/9.43 |-Branch two: % 33.61/9.43 | (377) ~ (all_0_57_57 = e2) % 33.61/9.43 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 33.61/9.43 | % 33.61/9.43 +-Applying beta-rule and splitting (137), into two cases. % 33.61/9.43 |-Branch one: % 33.61/9.43 | (447) all_0_43_43 = e3 % 33.61/9.43 | % 33.61/9.43 | Equations (447) can reduce 434 to: % 33.61/9.43 | (303) $false % 33.61/9.43 | % 33.61/9.43 |-The branch is then unsatisfiable % 33.61/9.43 |-Branch two: % 33.61/9.43 | (434) ~ (all_0_43_43 = e3) % 33.61/9.43 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 33.61/9.43 | % 33.61/9.43 +-Applying beta-rule and splitting (450), into two cases. % 33.61/9.43 |-Branch one: % 33.61/9.43 | (451) all_0_46_46 = e3 % 33.61/9.43 | % 33.61/9.43 | Combining equations (252,451) yields a new equation: % 33.61/9.43 | (453) e3 = e2 % 33.61/9.43 | % 33.61/9.43 | Equations (453) can reduce 223 to: % 33.61/9.43 | (303) $false % 33.61/9.43 | % 33.61/9.43 |-The branch is then unsatisfiable % 33.61/9.43 |-Branch two: % 33.61/9.43 | (455) ~ (all_0_46_46 = e3) % 33.61/9.43 | (456) all_0_59_59 = e3 % 33.61/9.43 | % 33.61/9.43 | Equations (456) can reduce 222 to: % 33.61/9.43 | (2590) ~ (all_0_57_57 = e3) % 33.61/9.43 | % 33.61/9.43 | From (456) and (90) follows: % 33.61/9.43 | (461) op(e0, e1) = e3 % 33.61/9.43 | % 33.61/9.43 +-Applying beta-rule and splitting (2652), into two cases. % 33.61/9.43 |-Branch one: % 33.61/9.43 | (589) all_0_57_57 = e1 % 33.61/9.43 | % 33.61/9.43 | Equations (589) can reduce 2590 to: % 33.61/9.43 | (465) ~ (e3 = e1) % 33.61/9.43 | % 33.61/9.43 | Simplifying 465 yields: % 33.61/9.43 | (136) ~ (e3 = e1) % 33.61/9.43 | % 33.61/9.43 | Equations (589) can reduce 2273 to: % 33.61/9.43 | (134) ~ (e1 = e0) % 33.61/9.43 | % 33.61/9.43 | From (589) and (35) follows: % 33.61/9.43 | (3953) op(e1, e3) = all_0_34_34 % 33.61/9.43 | % 33.61/9.43 | Instantiating formula (29) with e1, e3, all_0_34_34, e2 and discharging atoms op(e1, e3) = all_0_34_34, op(e1, e3) = e2, yields: % 33.61/9.43 | (13533) all_0_34_34 = e2 % 33.61/9.43 | % 33.61/9.43 | From (13533) and (3953) follows: % 33.61/9.43 | (12586) op(e1, e3) = e2 % 33.61/9.43 | % 33.61/9.43 +-Applying beta-rule and splitting (62), into two cases. % 33.61/9.43 |-Branch one: % 33.61/9.43 | (631) unit = e2 % 33.61/9.43 | % 33.61/9.43 | From (631) and (98) follows: % 33.61/9.43 | (5015) op(e3, e2) = e3 % 33.61/9.43 | % 33.61/9.43 | From (631) and (74) follows: % 33.61/9.43 | (2715) op(e2, e2) = e2 % 33.61/9.43 | % 33.61/9.43 | From (631) and (111) follows: % 33.61/9.43 | (1167) op(e0, e2) = e0 % 33.61/9.43 | % 33.61/9.43 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 33.61/9.43 | (601) e3 = e1 % 33.61/9.43 | % 33.61/9.43 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 33.61/9.43 | (453) e3 = e2 % 33.61/9.43 | % 33.61/9.43 | Instantiating formula (29) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 33.61/9.43 | (385) e2 = e0 % 33.61/9.43 | % 33.61/9.43 | Combining equations (453,601) yields a new equation: % 33.61/9.43 | (584) e2 = e1 % 33.61/9.43 | % 33.61/9.43 | Simplifying 584 yields: % 33.61/9.43 | (585) e2 = e1 % 33.61/9.43 | % 33.61/9.43 | Combining equations (585,385) yields a new equation: % 33.61/9.43 | (670) e1 = e0 % 33.61/9.43 | % 33.61/9.43 | Simplifying 670 yields: % 33.61/9.43 | (590) e1 = e0 % 33.61/9.43 | % 33.61/9.43 | Equations (590) can reduce 134 to: % 33.61/9.43 | (303) $false % 33.61/9.43 | % 33.61/9.43 |-The branch is then unsatisfiable % 33.61/9.43 |-Branch two: % 33.61/9.43 | (599) ~ (unit = e2) % 33.61/9.43 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 33.61/9.43 | % 33.61/9.43 +-Applying beta-rule and splitting (634), into two cases. % 33.61/9.43 |-Branch one: % 33.61/9.43 | (635) unit = e4 % 33.61/9.43 | % 33.61/9.43 | From (635) and (130) follows: % 33.61/9.43 | (1177) op(e4, e4) = e4 % 33.61/9.43 | % 33.61/9.43 | From (635) and (74) follows: % 33.61/9.43 | (637) op(e2, e4) = e2 % 33.61/9.43 | % 33.61/9.43 | From (635) and (111) follows: % 33.61/9.43 | (638) op(e0, e4) = e0 % 33.61/9.43 | % 33.61/9.43 | Instantiating formula (29) with e4, e4, e4, e2 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e2, yields: % 33.61/9.43 | (470) e4 = e2 % 33.61/9.43 | % 33.61/9.43 | Instantiating formula (29) with e2, e4, e2, e1 and discharging atoms op(e2, e4) = e2, op(e2, e4) = e1, yields: % 33.64/9.43 | (585) e2 = e1 % 33.64/9.43 | % 33.64/9.43 | Instantiating formula (29) with e0, e4, e0, e4 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e0, yields: % 33.64/9.43 | (654) e4 = e0 % 33.64/9.43 | % 33.64/9.43 | Combining equations (654,470) yields a new equation: % 33.64/9.43 | (385) e2 = e0 % 33.64/9.43 | % 33.64/9.43 | Combining equations (585,385) yields a new equation: % 33.64/9.43 | (670) e1 = e0 % 33.64/9.43 | % 33.64/9.43 | Simplifying 670 yields: % 33.64/9.43 | (590) e1 = e0 % 33.64/9.43 | % 33.64/9.43 | Equations (590) can reduce 134 to: % 33.64/9.43 | (303) $false % 33.64/9.43 | % 33.64/9.43 |-The branch is then unsatisfiable % 33.64/9.43 |-Branch two: % 33.64/9.43 | (484) ~ (unit = e4) % 33.64/9.43 | (647) unit = e3 | unit = e1 | unit = e0 % 33.64/9.43 | % 33.64/9.43 +-Applying beta-rule and splitting (647), into two cases. % 33.64/9.43 |-Branch one: % 33.64/9.43 | (648) unit = e1 % 33.64/9.43 | % 33.64/9.43 | Equations (648) can reduce 510 to: % 33.64/9.43 | (303) $false % 33.64/9.43 | % 33.64/9.43 |-The branch is then unsatisfiable % 33.64/9.43 |-Branch two: % 33.64/9.43 | (510) ~ (unit = e1) % 33.64/9.43 | (659) unit = e3 | unit = e0 % 33.64/9.43 | % 33.64/9.43 +-Applying beta-rule and splitting (659), into two cases. % 33.64/9.43 |-Branch one: % 33.64/9.43 | (660) unit = e0 % 33.64/9.43 | % 33.64/9.43 | From (660) and (38) follows: % 33.64/9.43 | (2749) op(e0, e1) = e1 % 33.64/9.43 | % 33.64/9.43 | Instantiating formula (29) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields: % 33.64/9.43 | (601) e3 = e1 % 33.64/9.43 | % 33.64/9.43 | Equations (601) can reduce 136 to: % 33.64/9.43 | (303) $false % 33.64/9.43 | % 33.64/9.43 |-The branch is then unsatisfiable % 33.64/9.43 |-Branch two: % 33.64/9.43 | (537) ~ (unit = e0) % 33.64/9.43 | (674) unit = e3 % 33.64/9.43 | % 33.64/9.43 | From (674) and (74) follows: % 33.64/9.43 | (8513) op(e2, e3) = e2 % 33.64/9.43 | % 33.64/9.43 | From (674) and (190) follows: % 33.64/9.43 | (468) op(e1, e3) = e1 % 33.64/9.43 | % 33.64/9.43 | Instantiating formula (29) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields: % 33.64/9.43 | (385) e2 = e0 % 33.64/9.43 | % 33.64/9.43 | Instantiating formula (29) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 33.64/9.43 | (585) e2 = e1 % 33.64/9.43 | % 33.64/9.43 | Combining equations (585,385) yields a new equation: % 33.64/9.43 | (670) e1 = e0 % 33.64/9.43 | % 33.64/9.43 | Simplifying 670 yields: % 33.64/9.43 | (590) e1 = e0 % 33.64/9.43 | % 33.64/9.43 | Equations (590) can reduce 134 to: % 33.64/9.43 | (303) $false % 33.64/9.43 | % 33.64/9.43 |-The branch is then unsatisfiable % 33.64/9.43 |-Branch two: % 33.64/9.43 | (592) ~ (all_0_57_57 = e1) % 33.64/9.43 | (3062) all_0_57_57 = e3 | all_0_57_57 = e0 % 33.64/9.43 | % 33.64/9.43 +-Applying beta-rule and splitting (3062), into two cases. % 33.64/9.43 |-Branch one: % 33.64/9.43 | (407) all_0_57_57 = e0 % 33.64/9.43 | % 33.64/9.43 | Equations (407) can reduce 2273 to: % 33.64/9.43 | (303) $false % 33.64/9.43 | % 33.64/9.43 |-The branch is then unsatisfiable % 33.64/9.43 |-Branch two: % 33.64/9.43 | (2273) ~ (all_0_57_57 = e0) % 33.64/9.43 | (1001) all_0_57_57 = e3 % 33.64/9.43 | % 33.64/9.43 | Equations (1001) can reduce 2590 to: % 33.64/9.43 | (303) $false % 33.64/9.43 | % 33.64/9.43 |-The branch is then unsatisfiable % 33.64/9.43 |-Branch two: % 33.64/9.43 | (996) ~ (all_0_41_41 = e3) % 33.64/9.43 | (997) all_0_53_53 = e3 | all_0_57_57 = e3 % 33.64/9.43 | % 33.64/9.43 +-Applying beta-rule and splitting (997), into two cases. % 33.64/9.43 |-Branch one: % 33.64/9.43 | (994) all_0_53_53 = e3 % 33.64/9.43 | % 33.64/9.43 | Combining equations (994,360) yields a new equation: % 33.64/9.43 | (452) e3 = e2 % 33.64/9.43 | % 33.64/9.43 | Simplifying 452 yields: % 33.64/9.43 | (453) e3 = e2 % 33.64/9.43 | % 33.64/9.43 | Equations (453) can reduce 223 to: % 33.64/9.43 | (303) $false % 33.64/9.43 | % 33.64/9.43 |-The branch is then unsatisfiable % 33.64/9.43 |-Branch two: % 33.64/9.43 | (428) ~ (all_0_53_53 = e3) % 33.64/9.43 | (1001) all_0_57_57 = e3 % 33.64/9.43 | % 33.64/9.44 | Combining equations (1001,2625) yields a new equation: % 33.64/9.44 | (13594) all_0_18_18 = e3 % 33.64/9.44 | % 33.64/9.44 | Equations (1001) can reduce 222 to: % 33.64/9.44 | (1030) ~ (all_0_59_59 = e3) % 33.64/9.44 | % 33.64/9.44 | Simplifying 1030 yields: % 33.64/9.44 | (1031) ~ (all_0_59_59 = e3) % 33.64/9.44 | % 33.64/9.44 | Equations (1001) can reduce 377 to: % 33.64/9.44 | (223) ~ (e3 = e2) % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (137), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (447) all_0_43_43 = e3 % 33.64/9.44 | % 33.64/9.44 | Combining equations (447,13506) yields a new equation: % 33.64/9.44 | (6036) all_0_20_20 = e3 % 33.64/9.44 | % 33.64/9.44 | Equations (447) can reduce 249 to: % 33.64/9.44 | (1030) ~ (all_0_59_59 = e3) % 33.64/9.44 | % 33.64/9.44 | Simplifying 1030 yields: % 33.64/9.44 | (1031) ~ (all_0_59_59 = e3) % 33.64/9.44 | % 33.64/9.44 | Equations (447) can reduce 712 to: % 33.64/9.44 | (439) ~ (e4 = e3) % 33.64/9.44 | % 33.64/9.44 | Simplifying 439 yields: % 33.64/9.44 | (30) ~ (e4 = e3) % 33.64/9.44 | % 33.64/9.44 | Equations (447) can reduce 253 to: % 33.64/9.44 | (223) ~ (e3 = e2) % 33.64/9.44 | % 33.64/9.44 | Equations (447) can reduce 117 to: % 33.64/9.44 | (70) ~ (e3 = e0) % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (100), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (618) all_0_43_43 = e1 % 33.64/9.44 | % 33.64/9.44 | Combining equations (447,618) yields a new equation: % 33.64/9.44 | (680) e3 = e1 % 33.64/9.44 | % 33.64/9.44 | Simplifying 680 yields: % 33.64/9.44 | (601) e3 = e1 % 33.64/9.44 | % 33.64/9.44 | Equations (601) can reduce 136 to: % 33.64/9.44 | (303) $false % 33.64/9.44 | % 33.64/9.44 |-The branch is then unsatisfiable % 33.64/9.44 |-Branch two: % 33.64/9.44 | (622) ~ (all_0_43_43 = e1) % 33.64/9.44 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 33.64/9.44 | % 33.64/9.44 | Equations (447) can reduce 622 to: % 33.64/9.44 | (136) ~ (e3 = e1) % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (227), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (909) all_0_59_59 = e2 % 33.64/9.44 | % 33.64/9.44 | Equations (909) can reduce 260 to: % 33.64/9.44 | (303) $false % 33.64/9.44 | % 33.64/9.44 |-The branch is then unsatisfiable % 33.64/9.44 |-Branch two: % 33.64/9.44 | (260) ~ (all_0_59_59 = e2) % 33.64/9.44 | (1037) all_0_59_59 = e4 | all_0_59_59 = e3 | all_0_59_59 = e1 % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (44), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (624) all_0_40_40 = e1 % 33.64/9.44 | % 33.64/9.44 | Combining equations (917,624) yields a new equation: % 33.64/9.44 | (584) e2 = e1 % 33.64/9.44 | % 33.64/9.44 | Simplifying 584 yields: % 33.64/9.44 | (585) e2 = e1 % 33.64/9.44 | % 33.64/9.44 | Equations (585) can reduce 144 to: % 33.64/9.44 | (303) $false % 33.64/9.44 | % 33.64/9.44 |-The branch is then unsatisfiable % 33.64/9.44 |-Branch two: % 33.64/9.44 | (683) ~ (all_0_40_40 = e1) % 33.64/9.44 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 33.64/9.44 | % 33.64/9.44 | Equations (917) can reduce 683 to: % 33.64/9.44 | (144) ~ (e2 = e1) % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (221), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (696) all_0_41_41 = e1 % 33.64/9.44 | % 33.64/9.44 | From (696) and (26) follows: % 33.64/9.44 | (13268) op(e1, e3) = all_0_2_2 % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (1037), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (717) all_0_59_59 = e4 % 33.64/9.44 | % 33.64/9.44 | Equations (717) can reduce 348 to: % 33.64/9.44 | (303) $false % 33.64/9.44 | % 33.64/9.44 |-The branch is then unsatisfiable % 33.64/9.44 |-Branch two: % 33.64/9.44 | (348) ~ (all_0_59_59 = e4) % 33.64/9.44 | (1047) all_0_59_59 = e3 | all_0_59_59 = e1 % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (1047), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (600) all_0_59_59 = e1 % 33.64/9.44 | % 33.64/9.44 | Equations (600) can reduce 216 to: % 33.64/9.44 | (134) ~ (e1 = e0) % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (181), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (3497) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_51_51 = all_0_58_58)) % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (3497), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (3498) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57)) % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (3498), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (3499) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (3499), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (3500) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (3500), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (3501) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (3501), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (3502) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (3502), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (3503) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (3503), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (3504) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (3504), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (3505) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (3505), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (3506) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (3506), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (3507) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (3507), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (3508) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (3508), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (3509) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (3509), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (3510) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (3510), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (3511) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (3511), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (3512) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (3512), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (3513) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) % 33.64/9.44 | % 33.64/9.44 +-Applying beta-rule and splitting (3513), into two cases. % 33.64/9.44 |-Branch one: % 33.64/9.44 | (3514) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45) % 33.64/9.44 | % 33.64/9.44 | Applying alpha-rule on (3514) yields: % 33.64/9.44 | (3515) all_0_2_2 = e4 % 33.64/9.44 | (3516) ~ (all_0_1_1 = e3) % 33.64/9.44 | (3517) ~ (all_0_41_41 = all_0_45_45) % 33.64/9.44 | % 33.64/9.44 | From (3515) and (13268) follows: % 33.64/9.45 | (13653) op(e1, e3) = e4 % 33.64/9.45 | % 33.64/9.45 | Instantiating formula (29) with e1, e3, e4, e2 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e2, yields: % 33.64/9.45 | (470) e4 = e2 % 33.64/9.45 | % 33.64/9.45 | Equations (470) can reduce 231 to: % 33.64/9.45 | (303) $false % 33.64/9.45 | % 33.64/9.45 |-The branch is then unsatisfiable % 33.64/9.45 |-Branch two: % 33.64/9.45 | (3521) all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48) % 33.64/9.45 | % 33.64/9.45 | Applying alpha-rule on (3521) yields: % 33.64/9.45 | (356) all_0_4_4 = e4 % 33.64/9.45 | (3523) ~ (all_0_3_3 = e2) % 33.64/9.45 | (3524) ~ (all_0_42_42 = all_0_48_48) % 33.64/9.45 | % 33.64/9.45 | Combining equations (356,12421) yields a new equation: % 33.64/9.45 | (878) e4 = e2 % 33.64/9.45 | % 33.64/9.45 | Simplifying 878 yields: % 33.64/9.45 | (470) e4 = e2 % 33.64/9.45 | % 33.64/9.45 | Equations (470) can reduce 231 to: % 33.64/9.45 | (303) $false % 33.64/9.45 | % 33.64/9.45 |-The branch is then unsatisfiable % 33.64/9.45 |-Branch two: % 33.64/9.45 | (3526) all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52) % 33.64/9.45 | % 33.64/9.45 | Applying alpha-rule on (3526) yields: % 33.64/9.45 | (3527) all_0_6_6 = e4 % 33.64/9.45 | (3528) ~ (all_0_5_5 = e1) % 33.64/9.45 | (3529) ~ (all_0_43_43 = all_0_52_52) % 33.64/9.45 | % 33.64/9.45 | Equations (447,425) can reduce 3529 to: % 33.64/9.45 | (303) $false % 33.64/9.45 | % 33.64/9.45 |-The branch is then unsatisfiable % 33.64/9.45 |-Branch two: % 33.64/9.45 | (3533) all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56) % 33.64/9.45 | % 33.64/9.45 | Applying alpha-rule on (3533) yields: % 33.64/9.45 | (3534) all_0_8_8 = e4 % 33.64/9.45 | (3535) ~ (all_0_7_7 = e0) % 33.64/9.45 | (3536) ~ (all_0_44_44 = all_0_56_56) % 33.64/9.45 | % 33.64/9.45 | Equations (1096,877) can reduce 3536 to: % 33.64/9.45 | (303) $false % 33.64/9.45 | % 33.64/9.45 |-The branch is then unsatisfiable % 33.64/9.45 |-Branch two: % 33.64/9.45 | (3538) all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45) % 33.64/9.45 | % 33.64/9.45 | Applying alpha-rule on (3538) yields: % 33.64/9.45 | (3539) all_0_10_10 = e3 % 33.64/9.45 | (3540) ~ (all_0_9_9 = e4) % 33.64/9.45 | (3517) ~ (all_0_41_41 = all_0_45_45) % 33.64/9.45 | % 33.64/9.45 | Combining equations (3539,13480) yields a new equation: % 33.64/9.45 | (443) e4 = e3 % 33.64/9.45 | % 33.64/9.45 | Equations (443) can reduce 30 to: % 33.64/9.45 | (303) $false % 33.64/9.45 | % 33.64/9.45 |-The branch is then unsatisfiable % 33.64/9.45 |-Branch two: % 33.64/9.45 | (3545) all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53) % 33.64/9.45 | % 33.64/9.45 | Applying alpha-rule on (3545) yields: % 33.64/9.45 | (3546) all_0_12_12 = e3 % 33.64/9.45 | (3547) ~ (all_0_11_11 = e1) % 33.64/9.45 | (3548) ~ (all_0_46_46 = all_0_53_53) % 33.64/9.45 | % 33.64/9.45 | Combining equations (3546,10794) yields a new equation: % 33.64/9.45 | (443) e4 = e3 % 33.64/9.45 | % 33.64/9.45 | Equations (443) can reduce 30 to: % 33.64/9.45 | (303) $false % 33.64/9.45 | % 33.64/9.45 |-The branch is then unsatisfiable % 33.64/9.45 |-Branch two: % 33.64/9.45 | (3552) all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57) % 33.64/9.45 | % 33.64/9.45 | Applying alpha-rule on (3552) yields: % 33.64/9.45 | (3553) all_0_14_14 = e3 % 33.64/9.45 | (3554) ~ (all_0_13_13 = e0) % 33.64/9.45 | (3555) ~ (all_0_47_47 = all_0_57_57) % 33.64/9.45 | % 33.64/9.45 | Equations (309,1001) can reduce 3555 to: % 33.64/9.45 | (303) $false % 33.64/9.45 | % 33.64/9.45 |-The branch is then unsatisfiable % 33.64/9.45 |-Branch two: % 33.64/9.45 | (3557) all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48) % 33.64/9.45 | % 33.64/9.45 | Applying alpha-rule on (3557) yields: % 33.64/9.45 | (3558) all_0_16_16 = e2 % 33.64/9.45 | (3559) ~ (all_0_15_15 = e4) % 33.64/9.45 | (3524) ~ (all_0_42_42 = all_0_48_48) % 33.64/9.45 | % 33.64/9.45 | Combining equations (3558,13507) yields a new equation: % 33.64/9.45 | (453) e3 = e2 % 33.64/9.45 | % 33.64/9.45 | Equations (453) can reduce 223 to: % 33.64/9.45 | (303) $false % 33.64/9.45 | % 33.64/9.45 |-The branch is then unsatisfiable % 33.64/9.45 |-Branch two: % 33.64/9.45 | (3562) all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1) % 33.64/9.45 | % 33.64/9.45 | Applying alpha-rule on (3562) yields: % 33.64/9.45 | (3563) all_0_18_18 = e2 % 33.64/9.45 | (3564) ~ (all_0_17_17 = e3) % 33.64/9.45 | (506) ~ (all_0_49_49 = e1) % 33.64/9.45 | % 33.64/9.45 | Combining equations (13594,3563) yields a new equation: % 33.64/9.45 | (452) e3 = e2 % 33.64/9.45 | % 33.64/9.45 | Simplifying 452 yields: % 33.64/9.45 | (453) e3 = e2 % 33.64/9.45 | % 33.64/9.45 | Equations (453) can reduce 223 to: % 33.64/9.45 | (303) $false % 33.64/9.45 | % 33.64/9.45 |-The branch is then unsatisfiable % 33.64/9.45 |-Branch two: % 33.64/9.45 | (3567) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54) % 33.64/9.45 | % 33.64/9.45 | Applying alpha-rule on (3567) yields: % 33.64/9.45 | (3568) all_0_20_20 = e2 % 33.64/9.45 | (3569) ~ (all_0_19_19 = e1) % 33.64/9.45 | (3570) ~ (all_0_50_50 = all_0_54_54) % 33.64/9.45 | % 33.64/9.45 | Combining equations (3568,6036) yields a new equation: % 33.64/9.45 | (453) e3 = e2 % 33.64/9.45 | % 33.64/9.45 | Equations (453) can reduce 223 to: % 33.64/9.45 | (303) $false % 33.64/9.45 | % 33.64/9.45 |-The branch is then unsatisfiable % 33.64/9.45 |-Branch two: % 33.64/9.45 | (3574) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58) % 33.64/9.45 | % 33.64/9.45 | Applying alpha-rule on (3574) yields: % 33.64/9.45 | (3575) all_0_22_22 = e2 % 33.64/9.45 | (3576) ~ (all_0_21_21 = e0) % 33.64/9.46 | (3577) ~ (all_0_51_51 = all_0_58_58) % 33.64/9.46 | % 33.64/9.46 | Equations (927,340) can reduce 3577 to: % 33.64/9.46 | (303) $false % 33.64/9.46 | % 33.64/9.46 |-The branch is then unsatisfiable % 33.64/9.46 |-Branch two: % 33.64/9.46 | (3579) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52) % 33.64/9.46 | % 33.64/9.46 | Applying alpha-rule on (3579) yields: % 33.64/9.46 | (3580) all_0_24_24 = e1 % 33.64/9.46 | (3581) ~ (all_0_23_23 = e4) % 33.64/9.46 | (3529) ~ (all_0_43_43 = all_0_52_52) % 33.64/9.46 | % 33.64/9.46 | Combining equations (3580,3590) yields a new equation: % 33.64/9.46 | (670) e1 = e0 % 33.64/9.46 | % 33.64/9.46 | Simplifying 670 yields: % 33.64/9.46 | (590) e1 = e0 % 33.64/9.46 | % 33.64/9.46 | Equations (590) can reduce 134 to: % 33.64/9.46 | (303) $false % 33.64/9.46 | % 33.64/9.46 |-The branch is then unsatisfiable % 33.64/9.46 |-Branch two: % 33.64/9.46 | (3584) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53) % 33.64/9.46 | % 33.64/9.46 | Applying alpha-rule on (3584) yields: % 33.64/9.46 | (3585) all_0_26_26 = e1 % 33.64/9.46 | (3586) ~ (all_0_25_25 = e3) % 33.64/9.46 | (3548) ~ (all_0_46_46 = all_0_53_53) % 33.64/9.46 | % 33.64/9.46 | Combining equations (3585,12672) yields a new equation: % 33.64/9.46 | (670) e1 = e0 % 33.64/9.46 | % 33.64/9.46 | Simplifying 670 yields: % 33.64/9.46 | (590) e1 = e0 % 33.64/9.46 | % 33.64/9.46 | Equations (590) can reduce 134 to: % 33.64/9.46 | (303) $false % 33.64/9.46 | % 33.64/9.46 |-The branch is then unsatisfiable % 33.64/9.46 |-Branch two: % 33.64/9.46 | (3641) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54) % 33.64/9.46 | % 33.64/9.46 | Applying alpha-rule on (3641) yields: % 33.64/9.46 | (3642) all_0_28_28 = e1 % 33.64/9.46 | (3643) ~ (all_0_27_27 = e2) % 33.64/9.46 | (3570) ~ (all_0_50_50 = all_0_54_54) % 33.64/9.46 | % 33.64/9.46 | Combining equations (3642,12394) yields a new equation: % 33.64/9.46 | (670) e1 = e0 % 33.64/9.46 | % 33.64/9.46 | Simplifying 670 yields: % 33.64/9.46 | (590) e1 = e0 % 33.64/9.46 | % 33.64/9.46 | Equations (590) can reduce 134 to: % 33.64/9.46 | (303) $false % 33.64/9.46 | % 33.64/9.46 |-The branch is then unsatisfiable % 33.64/9.46 |-Branch two: % 33.64/9.46 | (3647) all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59) % 33.64/9.46 | % 33.64/9.46 | Applying alpha-rule on (3647) yields: % 33.64/9.46 | (3648) all_0_30_30 = e1 % 33.64/9.46 | (3649) ~ (all_0_29_29 = e0) % 33.64/9.46 | (3650) ~ (all_0_55_55 = all_0_59_59) % 33.64/9.46 | % 33.64/9.46 | Equations (530,600) can reduce 3650 to: % 33.64/9.46 | (303) $false % 33.64/9.46 | % 33.64/9.46 |-The branch is then unsatisfiable % 33.64/9.46 |-Branch two: % 33.64/9.46 | (3652) all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56) % 33.64/9.46 | % 33.64/9.46 | Applying alpha-rule on (3652) yields: % 33.64/9.46 | (3653) all_0_32_32 = e0 % 33.64/9.46 | (3654) ~ (all_0_31_31 = e4) % 33.64/9.46 | (3536) ~ (all_0_44_44 = all_0_56_56) % 33.64/9.46 | % 33.64/9.46 | Combining equations (10938,3653) yields a new equation: % 33.64/9.46 | (403) e2 = e0 % 33.64/9.46 | % 33.64/9.46 | Simplifying 403 yields: % 33.64/9.46 | (385) e2 = e0 % 33.64/9.46 | % 33.64/9.46 | Equations (385) can reduce 51 to: % 33.64/9.46 | (303) $false % 33.64/9.46 | % 33.64/9.46 |-The branch is then unsatisfiable % 33.64/9.46 |-Branch two: % 33.64/9.46 | (3657) all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57) % 33.64/9.46 | % 33.64/9.46 | Applying alpha-rule on (3657) yields: % 33.64/9.46 | (421) all_0_34_34 = e0 % 33.64/9.46 | (3659) ~ (all_0_33_33 = e3) % 33.64/9.46 | (3555) ~ (all_0_47_47 = all_0_57_57) % 33.64/9.46 | % 33.64/9.46 | Equations (309,1001) can reduce 3555 to: % 33.64/9.46 | (303) $false % 33.64/9.46 | % 33.64/9.46 |-The branch is then unsatisfiable % 33.64/9.46 |-Branch two: % 33.64/9.46 | (3662) all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_51_51 = all_0_58_58) % 33.64/9.46 | % 33.64/9.46 | Applying alpha-rule on (3662) yields: % 33.64/9.46 | (354) all_0_36_36 = e0 % 33.64/9.46 | (3664) ~ (all_0_35_35 = e2) % 33.64/9.46 | (3577) ~ (all_0_51_51 = all_0_58_58) % 33.64/9.46 | % 33.64/9.46 | Combining equations (12418,354) yields a new equation: % 33.64/9.46 | (496) e3 = e0 % 33.64/9.46 | % 33.64/9.46 | Simplifying 496 yields: % 33.64/9.46 | (497) e3 = e0 % 33.64/9.46 | % 33.64/9.46 | Equations (497) can reduce 70 to: % 33.64/9.46 | (303) $false % 33.64/9.46 | % 33.64/9.46 |-The branch is then unsatisfiable % 33.64/9.46 |-Branch two: % 33.64/9.46 | (3667) all_0_38_38 = e0 & ~ (all_0_37_37 = e1) & ~ (all_0_55_55 = all_0_59_59) % 33.64/9.46 | % 33.64/9.46 | Applying alpha-rule on (3667) yields: % 33.64/9.46 | (3668) all_0_38_38 = e0 % 33.64/9.46 | (3669) ~ (all_0_37_37 = e1) % 33.64/9.46 | (3650) ~ (all_0_55_55 = all_0_59_59) % 33.64/9.46 | % 33.64/9.46 | Equations (530,600) can reduce 3650 to: % 33.64/9.46 | (303) $false % 33.64/9.46 | % 33.64/9.46 |-The branch is then unsatisfiable % 33.64/9.46 |-Branch two: % 33.64/9.46 | (603) ~ (all_0_59_59 = e1) % 33.64/9.46 | (456) all_0_59_59 = e3 % 33.64/9.46 | % 33.64/9.46 | Equations (456) can reduce 1031 to: % 33.64/9.46 | (303) $false % 33.64/9.46 | % 33.64/9.46 |-The branch is then unsatisfiable % 33.64/9.46 |-Branch two: % 33.64/9.46 | (699) ~ (all_0_41_41 = e1) % 33.64/9.46 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 33.64/9.46 | % 33.64/9.46 +-Applying beta-rule and splitting (2154), into two cases. % 33.64/9.46 |-Branch one: % 33.64/9.46 | (1580) all_0_49_49 = e1 % 33.64/9.46 | % 33.64/9.46 | Combining equations (384,1580) yields a new equation: % 33.64/9.46 | (590) e1 = e0 % 33.64/9.46 | % 33.64/9.46 | Equations (590) can reduce 134 to: % 33.64/9.46 | (303) $false % 33.64/9.46 | % 33.64/9.46 |-The branch is then unsatisfiable % 33.64/9.46 |-Branch two: % 33.64/9.46 | (506) ~ (all_0_49_49 = e1) % 33.64/9.46 | (2676) all_0_53_53 = e1 | all_0_57_57 = e1 % 33.64/9.46 | % 33.64/9.46 +-Applying beta-rule and splitting (2676), into two cases. % 33.64/9.46 |-Branch one: % 33.64/9.46 | (462) all_0_53_53 = e1 % 33.64/9.46 | % 33.64/9.46 | Combining equations (462,360) yields a new equation: % 33.64/9.46 | (585) e2 = e1 % 33.64/9.46 | % 33.64/9.46 | Equations (585) can reduce 144 to: % 33.64/9.46 | (303) $false % 33.64/9.46 | % 33.64/9.46 |-The branch is then unsatisfiable % 33.64/9.46 |-Branch two: % 33.64/9.46 | (509) ~ (all_0_53_53 = e1) % 33.64/9.46 | (589) all_0_57_57 = e1 % 33.64/9.46 | % 33.64/9.46 | Combining equations (589,1001) yields a new equation: % 33.64/9.46 | (601) e3 = e1 % 33.64/9.46 | % 33.64/9.46 | Equations (601) can reduce 136 to: % 33.64/9.46 | (303) $false % 33.64/9.46 | % 33.64/9.46 |-The branch is then unsatisfiable % 33.64/9.46 |-Branch two: % 33.64/9.46 | (434) ~ (all_0_43_43 = e3) % 33.64/9.46 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 33.64/9.46 | % 33.64/9.46 +-Applying beta-rule and splitting (227), into two cases. % 33.64/9.46 |-Branch one: % 33.64/9.46 | (909) all_0_59_59 = e2 % 33.64/9.46 | % 33.64/9.46 | Equations (909) can reduce 260 to: % 33.64/9.46 | (303) $false % 33.64/9.46 | % 33.64/9.46 |-The branch is then unsatisfiable % 33.64/9.46 |-Branch two: % 33.64/9.46 | (260) ~ (all_0_59_59 = e2) % 33.64/9.46 | (1037) all_0_59_59 = e4 | all_0_59_59 = e3 | all_0_59_59 = e1 % 33.64/9.46 | % 33.64/9.46 +-Applying beta-rule and splitting (1037), into two cases. % 33.64/9.46 |-Branch one: % 33.64/9.46 | (717) all_0_59_59 = e4 % 33.64/9.46 | % 33.64/9.46 | Equations (717) can reduce 348 to: % 33.64/9.46 | (303) $false % 33.64/9.46 | % 33.64/9.46 |-The branch is then unsatisfiable % 33.64/9.46 |-Branch two: % 33.64/9.46 | (348) ~ (all_0_59_59 = e4) % 33.64/9.46 | (1047) all_0_59_59 = e3 | all_0_59_59 = e1 % 33.64/9.46 | % 33.64/9.46 +-Applying beta-rule and splitting (1047), into two cases. % 33.64/9.46 |-Branch one: % 33.64/9.46 | (600) all_0_59_59 = e1 % 33.64/9.46 | % 33.64/9.46 | Equations (600) can reduce 1031 to: % 33.64/9.46 | (465) ~ (e3 = e1) % 33.64/9.46 | % 33.64/9.46 | Simplifying 465 yields: % 33.64/9.46 | (136) ~ (e3 = e1) % 33.64/9.46 | % 33.64/9.46 +-Applying beta-rule and splitting (200), into two cases. % 33.64/9.46 |-Branch one: % 33.64/9.46 | (1102) all_0_40_40 = e3 % 33.64/9.46 | % 33.64/9.47 | Combining equations (917,1102) yields a new equation: % 33.64/9.47 | (453) e3 = e2 % 33.64/9.47 | % 33.64/9.47 | Equations (453) can reduce 223 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (432) ~ (all_0_40_40 = e3) % 33.64/9.47 | (2138) all_0_41_41 = e3 | all_0_43_43 = e3 | all_0_44_44 = e3 % 33.64/9.47 | % 33.64/9.47 | Equations (917) can reduce 432 to: % 33.64/9.47 | (577) ~ (e3 = e2) % 33.64/9.47 | % 33.64/9.47 | Simplifying 577 yields: % 33.64/9.47 | (223) ~ (e3 = e2) % 33.64/9.47 | % 33.64/9.47 +-Applying beta-rule and splitting (450), into two cases. % 33.64/9.47 |-Branch one: % 33.64/9.47 | (451) all_0_46_46 = e3 % 33.64/9.47 | % 33.64/9.47 | Combining equations (252,451) yields a new equation: % 33.64/9.47 | (453) e3 = e2 % 33.64/9.47 | % 33.64/9.47 | Equations (453) can reduce 223 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (455) ~ (all_0_46_46 = e3) % 33.64/9.47 | (456) all_0_59_59 = e3 % 33.64/9.47 | % 33.64/9.47 | Combining equations (456,600) yields a new equation: % 33.64/9.47 | (680) e3 = e1 % 33.64/9.47 | % 33.64/9.47 | Simplifying 680 yields: % 33.64/9.47 | (601) e3 = e1 % 33.64/9.47 | % 33.64/9.47 | Equations (601) can reduce 136 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (603) ~ (all_0_59_59 = e1) % 33.64/9.47 | (456) all_0_59_59 = e3 % 33.64/9.47 | % 33.64/9.47 | Equations (456) can reduce 1031 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (802) ~ (all_0_48_48 = e1) % 33.64/9.47 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 33.64/9.47 | % 33.64/9.47 +-Applying beta-rule and splitting (730), into two cases. % 33.64/9.47 |-Branch one: % 33.64/9.47 | (609) all_0_48_48 = e4 % 33.64/9.47 | % 33.64/9.47 | Equations (609) can reduce 721 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (721) ~ (all_0_48_48 = e4) % 33.64/9.47 | (811) all_0_48_48 = e1 | all_0_48_48 = e0 % 33.64/9.47 | % 33.64/9.47 +-Applying beta-rule and splitting (811), into two cases. % 33.64/9.47 |-Branch one: % 33.64/9.47 | (748) all_0_48_48 = e1 % 33.64/9.47 | % 33.64/9.47 | Equations (748) can reduce 802 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (802) ~ (all_0_48_48 = e1) % 33.64/9.47 | (380) all_0_48_48 = e0 % 33.64/9.47 | % 33.64/9.47 | Equations (380) can reduce 292 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (345) ~ (all_0_56_56 = e4) % 33.64/9.47 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 33.64/9.47 | % 33.64/9.47 +-Applying beta-rule and splitting (196), into two cases. % 33.64/9.47 |-Branch one: % 33.64/9.47 | (723) all_0_40_40 = e4 % 33.64/9.47 | % 33.64/9.47 | Combining equations (917,723) yields a new equation: % 33.64/9.47 | (470) e4 = e2 % 33.64/9.47 | % 33.64/9.47 | Equations (470) can reduce 231 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (844) ~ (all_0_40_40 = e4) % 33.64/9.47 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 33.64/9.47 | % 33.64/9.47 | Equations (917) can reduce 844 to: % 33.64/9.47 | (261) ~ (e4 = e2) % 33.64/9.47 | % 33.64/9.47 | Simplifying 261 yields: % 33.64/9.47 | (231) ~ (e4 = e2) % 33.64/9.47 | % 33.64/9.47 +-Applying beta-rule and splitting (4489), into two cases. % 33.64/9.47 |-Branch one: % 33.64/9.47 | (344) all_0_58_58 = e4 % 33.64/9.47 | % 33.64/9.47 | Combining equations (344,340) yields a new equation: % 33.64/9.47 | (878) e4 = e2 % 33.64/9.47 | % 33.64/9.47 | Simplifying 878 yields: % 33.64/9.47 | (470) e4 = e2 % 33.64/9.47 | % 33.64/9.47 | Equations (470) can reduce 231 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (3161) ~ (all_0_58_58 = e4) % 33.64/9.47 | (4996) all_0_59_59 = e4 | all_0_60_60 = e4 % 33.64/9.47 | % 33.64/9.47 +-Applying beta-rule and splitting (4996), into two cases. % 33.64/9.47 |-Branch one: % 33.64/9.47 | (717) all_0_59_59 = e4 % 33.64/9.47 | % 33.64/9.47 | Equations (717) can reduce 348 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (348) ~ (all_0_59_59 = e4) % 33.64/9.47 | (1510) all_0_60_60 = e4 % 33.64/9.47 | % 33.64/9.47 | Combining equations (1510,1934) yields a new equation: % 33.64/9.47 | (1573) e4 = e0 % 33.64/9.47 | % 33.64/9.47 | Simplifying 1573 yields: % 33.64/9.47 | (654) e4 = e0 % 33.64/9.47 | % 33.64/9.47 | Equations (654) can reduce 4 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (611) ~ (all_0_50_50 = e4) % 33.64/9.47 | (1501) all_0_51_51 = e4 % 33.64/9.47 | % 33.64/9.47 | Combining equations (927,1501) yields a new equation: % 33.64/9.47 | (470) e4 = e2 % 33.64/9.47 | % 33.64/9.47 | Equations (470) can reduce 231 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (939) ~ (all_0_40_40 = e2) % 33.64/9.47 | (940) all_0_41_41 = e2 | all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 33.64/9.47 | % 33.64/9.47 +-Applying beta-rule and splitting (96), into two cases. % 33.64/9.47 |-Branch one: % 33.64/9.47 | (917) all_0_40_40 = e2 % 33.64/9.47 | % 33.64/9.47 | Equations (917) can reduce 939 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (939) ~ (all_0_40_40 = e2) % 33.64/9.47 | (944) all_0_45_45 = e2 | all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 33.64/9.47 | % 33.64/9.47 +-Applying beta-rule and splitting (944), into two cases. % 33.64/9.47 |-Branch one: % 33.64/9.47 | (951) all_0_45_45 = e2 % 33.64/9.47 | % 33.64/9.47 | Combining equations (287,951) yields a new equation: % 33.64/9.47 | (385) e2 = e0 % 33.64/9.47 | % 33.64/9.47 | Equations (385) can reduce 51 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (254) ~ (all_0_45_45 = e2) % 33.64/9.47 | (956) all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 33.64/9.47 | % 33.64/9.47 | Equations (287) can reduce 254 to: % 33.64/9.47 | (335) ~ (e2 = e0) % 33.64/9.47 | % 33.64/9.47 | Simplifying 335 yields: % 33.64/9.47 | (51) ~ (e2 = e0) % 33.64/9.47 | % 33.64/9.47 +-Applying beta-rule and splitting (940), into two cases. % 33.64/9.47 |-Branch one: % 33.64/9.47 | (945) all_0_41_41 = e2 % 33.64/9.47 | % 33.64/9.47 | Equations (945) can reduce 369 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (369) ~ (all_0_41_41 = e2) % 33.64/9.47 | (949) all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 33.64/9.47 | % 33.64/9.47 +-Applying beta-rule and splitting (949), into two cases. % 33.64/9.47 |-Branch one: % 33.64/9.47 | (959) all_0_42_42 = e2 % 33.64/9.47 | % 33.64/9.47 | Combining equations (324,959) yields a new equation: % 33.64/9.47 | (385) e2 = e0 % 33.64/9.47 | % 33.64/9.47 | Equations (385) can reduce 51 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (272) ~ (all_0_42_42 = e2) % 33.64/9.47 | (964) all_0_43_43 = e2 | all_0_44_44 = e2 % 33.64/9.47 | % 33.64/9.47 +-Applying beta-rule and splitting (964), into two cases. % 33.64/9.47 |-Branch one: % 33.64/9.47 | (965) all_0_43_43 = e2 % 33.64/9.47 | % 33.64/9.47 | Equations (965) can reduce 253 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (253) ~ (all_0_43_43 = e2) % 33.64/9.47 | (572) all_0_44_44 = e2 % 33.64/9.47 | % 33.64/9.47 | Combining equations (1096,572) yields a new equation: % 33.64/9.47 | (878) e4 = e2 % 33.64/9.47 | % 33.64/9.47 | Simplifying 878 yields: % 33.64/9.47 | (470) e4 = e2 % 33.64/9.47 | % 33.64/9.47 | Equations (470) can reduce 231 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (474) ~ (all_0_44_44 = e4) % 33.64/9.47 | (1500) all_0_51_51 = e4 | all_0_55_55 = e4 | all_0_60_60 = e4 % 33.64/9.47 | % 33.64/9.47 +-Applying beta-rule and splitting (1500), into two cases. % 33.64/9.47 |-Branch one: % 33.64/9.47 | (1501) all_0_51_51 = e4 % 33.64/9.47 | % 33.64/9.47 | Combining equations (1501,927) yields a new equation: % 33.64/9.47 | (878) e4 = e2 % 33.64/9.47 | % 33.64/9.47 | Simplifying 878 yields: % 33.64/9.47 | (470) e4 = e2 % 33.64/9.47 | % 33.64/9.47 | Equations (470) can reduce 231 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (1504) ~ (all_0_51_51 = e4) % 33.64/9.47 | (1505) all_0_55_55 = e4 | all_0_60_60 = e4 % 33.64/9.47 | % 33.64/9.47 +-Applying beta-rule and splitting (1505), into two cases. % 33.64/9.47 |-Branch one: % 33.64/9.47 | (473) all_0_55_55 = e4 % 33.64/9.47 | % 33.64/9.47 | Combining equations (530,473) yields a new equation: % 33.64/9.47 | (541) e4 = e1 % 33.64/9.47 | % 33.64/9.47 | Equations (541) can reduce 247 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (492) ~ (all_0_55_55 = e4) % 33.64/9.47 | (1510) all_0_60_60 = e4 % 33.64/9.47 | % 33.64/9.47 | Combining equations (1934,1510) yields a new equation: % 33.64/9.47 | (654) e4 = e0 % 33.64/9.47 | % 33.64/9.47 | Equations (654) can reduce 4 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 33.64/9.47 | % 33.64/9.47 | Applying alpha-rule on (514) yields: % 33.64/9.47 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 33.64/9.47 | (516) ~ (all_0_47_47 = e3) % 33.64/9.47 | (314) ~ (all_0_55_55 = e3) % 33.64/9.47 | (368) all_0_49_49 = e2 % 33.64/9.47 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 33.64/9.47 | (520) ~ (unit = e3) % 33.64/9.47 | (521) ~ (all_0_52_52 = e3) % 33.64/9.47 | (455) ~ (all_0_46_46 = e3) % 33.64/9.47 | (432) ~ (all_0_40_40 = e3) % 33.64/9.47 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 33.64/9.47 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 33.64/9.47 | (526) ~ (all_0_56_56 = e3) % 33.64/9.47 | % 33.64/9.47 | Equations (425) can reduce 521 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 33.64/9.47 | % 33.64/9.47 | Applying alpha-rule on (528) yields: % 33.64/9.47 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 33.64/9.47 | (530) all_0_55_55 = e1 % 33.64/9.47 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 33.64/9.47 | (387) ~ (all_0_49_49 = e0) % 33.64/9.47 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 33.64/9.47 | (534) ~ (all_0_45_45 = e0) % 33.64/9.47 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 33.64/9.47 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 33.64/9.47 | (537) ~ (unit = e0) % 33.64/9.47 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 33.64/9.47 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 33.64/9.47 | % 33.64/9.47 | Equations (287) can reduce 534 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 33.64/9.47 | % 33.64/9.47 | Applying alpha-rule on (543) yields: % 33.64/9.47 | (544) ~ (all_0_48_48 = e2) % 33.64/9.47 | (369) ~ (all_0_41_41 = e2) % 33.64/9.47 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 33.64/9.47 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 33.64/9.47 | (253) ~ (all_0_43_43 = e2) % 33.64/9.47 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 33.64/9.47 | (276) ~ (all_0_55_55 = e2) % 33.64/9.47 | (260) ~ (all_0_59_59 = e2) % 33.64/9.47 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 33.64/9.47 | (274) ~ (all_0_53_53 = e2) % 33.64/9.47 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 33.64/9.47 | (373) ~ (all_0_51_51 = e2) % 33.64/9.47 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 33.64/9.47 | (256) ~ (all_0_47_47 = e2) % 33.64/9.47 | (377) ~ (all_0_57_57 = e2) % 33.64/9.47 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 33.64/9.47 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 33.64/9.47 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 33.64/9.47 | (258) ~ (all_0_50_50 = e2) % 33.64/9.47 | (254) ~ (all_0_45_45 = e2) % 33.64/9.47 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 33.64/9.47 | % 33.64/9.47 | Equations (360) can reduce 274 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (521) ~ (all_0_52_52 = e3) % 33.64/9.47 | (1006) all_0_53_53 = e3 | all_0_55_55 = e3 % 33.64/9.47 | % 33.64/9.47 +-Applying beta-rule and splitting (1006), into two cases. % 33.64/9.47 |-Branch one: % 33.64/9.47 | (994) all_0_53_53 = e3 % 33.64/9.47 | % 33.64/9.47 | Combining equations (994,360) yields a new equation: % 33.64/9.47 | (452) e3 = e2 % 33.64/9.47 | % 33.64/9.47 | Simplifying 452 yields: % 33.64/9.47 | (453) e3 = e2 % 33.64/9.47 | % 33.64/9.47 | Equations (453) can reduce 223 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (428) ~ (all_0_53_53 = e3) % 33.64/9.47 | (2165) all_0_55_55 = e3 % 33.64/9.47 | % 33.64/9.47 | Combining equations (2165,530) yields a new equation: % 33.64/9.47 | (680) e3 = e1 % 33.64/9.47 | % 33.64/9.47 | Simplifying 680 yields: % 33.64/9.47 | (601) e3 = e1 % 33.64/9.47 | % 33.64/9.47 | Equations (601) can reduce 136 to: % 33.64/9.47 | (303) $false % 33.64/9.47 | % 33.64/9.47 |-The branch is then unsatisfiable % 33.64/9.47 |-Branch two: % 33.64/9.47 | (274) ~ (all_0_53_53 = e2) % 33.64/9.47 | (363) all_0_53_53 = e3 | all_0_53_53 = e1 % 33.64/9.47 | % 33.64/9.47 +-Applying beta-rule and splitting (91), into two cases. % 33.64/9.47 |-Branch one: % 33.64/9.47 | (980) all_0_52_52 = e2 % 33.64/9.47 | % 33.64/9.47 | Equations (980) can reduce 188 to: % 33.64/9.47 | (939) ~ (all_0_40_40 = e2) % 33.64/9.47 | % 33.64/9.47 | Equations (980) can reduce 108 to: % 33.64/9.47 | (544) ~ (all_0_48_48 = e2) % 33.64/9.47 | % 33.64/9.47 | Equations (980) can reduce 149 to: % 33.64/9.47 | (2174) ~ (all_0_56_56 = e2) % 33.64/9.47 | % 33.64/9.47 | Simplifying 2174 yields: % 33.64/9.47 | (594) ~ (all_0_56_56 = e2) % 33.64/9.47 | % 33.64/9.47 | Equations (980) can reduce 78 to: % 33.64/9.47 | (51) ~ (e2 = e0) % 33.64/9.47 | % 33.64/9.47 | From (980) and (45) follows: % 33.64/9.47 | (13962) op(e2, e4) = all_0_24_24 % 33.64/9.47 | % 33.64/9.47 | From (980) and (156) follows: % 33.64/9.47 | (13963) op(e2, e1) = all_0_23_23 % 33.64/9.47 | % 33.64/9.47 | From (980) and (152) follows: % 33.64/9.48 | (13964) op(e1, e4) = e2 % 33.64/9.48 | % 33.64/9.48 +-Applying beta-rule and splitting (64), into two cases. % 33.64/9.48 |-Branch one: % 33.64/9.48 | (425) all_0_52_52 = e3 % 33.64/9.48 | % 33.64/9.48 | Combining equations (425,980) yields a new equation: % 33.64/9.48 | (452) e3 = e2 % 33.64/9.48 | % 33.64/9.48 | Simplifying 452 yields: % 33.64/9.48 | (453) e3 = e2 % 33.64/9.48 | % 33.64/9.48 | Equations (453) can reduce 223 to: % 33.64/9.48 | (303) $false % 33.64/9.48 | % 33.64/9.48 |-The branch is then unsatisfiable % 33.64/9.48 |-Branch two: % 33.64/9.48 | (521) ~ (all_0_52_52 = e3) % 33.64/9.48 | (1006) all_0_53_53 = e3 | all_0_55_55 = e3 % 33.64/9.48 | % 33.64/9.48 +-Applying beta-rule and splitting (1006), into two cases. % 33.64/9.48 |-Branch one: % 33.64/9.48 | (994) all_0_53_53 = e3 % 33.64/9.48 | % 33.64/9.48 | Equations (994) can reduce 121 to: % 33.64/9.48 | (996) ~ (all_0_41_41 = e3) % 33.64/9.48 | % 33.64/9.48 | Equations (994) can reduce 251 to: % 33.64/9.48 | (2589) ~ (all_0_57_57 = e3) % 33.64/9.48 | % 33.64/9.48 | Simplifying 2589 yields: % 33.64/9.48 | (2590) ~ (all_0_57_57 = e3) % 33.64/9.48 | % 33.64/9.48 | Equations (994) can reduce 140 to: % 33.64/9.48 | (70) ~ (e3 = e0) % 33.64/9.48 | % 33.64/9.48 | From (994) and (242) follows: % 33.64/9.48 | (2592) op(e3, e3) = all_0_26_26 % 33.64/9.48 | % 33.64/9.48 | From (994) and (54) follows: % 33.64/9.48 | (2593) op(e3, e1) = all_0_25_25 % 33.64/9.48 | % 33.64/9.48 | From (994) and (224) follows: % 33.64/9.48 | (650) op(e1, e3) = e3 % 33.64/9.48 | % 33.64/9.48 | Instantiating formula (29) with e3, e3, all_0_26_26, e4 and discharging atoms op(e3, e3) = all_0_26_26, op(e3, e3) = e4, yields: % 33.64/9.48 | (2620) all_0_26_26 = e4 % 33.64/9.48 | % 33.64/9.48 | Instantiating formula (29) with e3, e1, all_0_25_25, e2 and discharging atoms op(e3, e1) = all_0_25_25, op(e3, e1) = e2, yields: % 33.64/9.48 | (2621) all_0_25_25 = e2 % 33.64/9.48 | % 33.64/9.48 | Instantiating formula (29) with e2, e4, all_0_24_24, all_0_48_48 and discharging atoms op(e2, e4) = all_0_24_24, op(e2, e4) = all_0_48_48, yields: % 33.64/9.48 | (13981) all_0_24_24 = all_0_48_48 % 33.64/9.48 | % 33.64/9.48 | Instantiating formula (29) with e2, e1, all_0_23_23, all_0_50_50 and discharging atoms op(e2, e1) = all_0_23_23, op(e2, e1) = all_0_50_50, yields: % 33.64/9.48 | (13982) all_0_23_23 = all_0_50_50 % 33.64/9.48 | % 33.64/9.48 | From (2620) and (2592) follows: % 33.64/9.48 | (22) op(e3, e3) = e4 % 33.64/9.48 | % 33.64/9.48 | From (2621) and (2593) follows: % 33.64/9.48 | (266) op(e3, e1) = e2 % 33.64/9.48 | % 33.64/9.48 | From (13981) and (13962) follows: % 33.64/9.48 | (105) op(e2, e4) = all_0_48_48 % 33.64/9.48 | % 33.64/9.48 | From (13982) and (13963) follows: % 33.64/9.48 | (186) op(e2, e1) = all_0_50_50 % 33.64/9.48 | % 33.64/9.48 +-Applying beta-rule and splitting (114), into two cases. % 33.64/9.48 |-Branch one: % 33.64/9.48 | (368) all_0_49_49 = e2 % 33.64/9.48 | % 33.64/9.48 | Equations (368) can reduce 177 to: % 33.64/9.48 | (369) ~ (all_0_41_41 = e2) % 33.64/9.48 | % 33.64/9.48 | Equations (368) can reduce 58 to: % 33.64/9.48 | (544) ~ (all_0_48_48 = e2) % 33.64/9.48 | % 33.64/9.48 | Equations (368) can reduce 37 to: % 33.64/9.48 | (257) ~ (all_0_50_50 = e2) % 33.64/9.48 | % 33.64/9.48 | Simplifying 257 yields: % 33.64/9.48 | (258) ~ (all_0_50_50 = e2) % 33.64/9.48 | % 33.64/9.48 | Equations (368) can reduce 160 to: % 33.64/9.48 | (372) ~ (all_0_51_51 = e2) % 33.64/9.48 | % 33.64/9.48 | Simplifying 372 yields: % 33.64/9.48 | (373) ~ (all_0_51_51 = e2) % 33.64/9.48 | % 33.64/9.48 | Equations (368) can reduce 226 to: % 33.64/9.48 | (376) ~ (all_0_57_57 = e2) % 33.64/9.48 | % 33.64/9.48 | Simplifying 376 yields: % 33.64/9.48 | (377) ~ (all_0_57_57 = e2) % 33.64/9.48 | % 33.64/9.48 +-Applying beta-rule and splitting (180), into two cases. % 33.64/9.48 |-Branch one: % 33.64/9.48 | (945) all_0_41_41 = e2 % 33.64/9.48 | % 33.64/9.48 | Equations (945) can reduce 369 to: % 33.64/9.48 | (303) $false % 33.64/9.48 | % 33.64/9.48 |-The branch is then unsatisfiable % 33.64/9.48 |-Branch two: % 33.64/9.48 | (369) ~ (all_0_41_41 = e2) % 33.64/9.48 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 33.64/9.48 | % 33.64/9.48 +-Applying beta-rule and splitting (112), into two cases. % 33.64/9.48 |-Branch one: % 33.64/9.48 | (572) all_0_44_44 = e2 % 33.64/9.48 | % 33.64/9.48 | Equations (572) can reduce 124 to: % 33.64/9.48 | (939) ~ (all_0_40_40 = e2) % 33.64/9.48 | % 33.64/9.48 | Equations (572) can reduce 161 to: % 33.64/9.48 | (372) ~ (all_0_51_51 = e2) % 33.64/9.48 | % 33.64/9.48 | Simplifying 372 yields: % 33.64/9.48 | (373) ~ (all_0_51_51 = e2) % 33.64/9.48 | % 33.64/9.48 | Equations (572) can reduce 165 to: % 33.64/9.48 | (573) ~ (all_0_60_60 = e2) % 33.64/9.48 | % 33.64/9.48 | Simplifying 573 yields: % 33.64/9.48 | (571) ~ (all_0_60_60 = e2) % 33.64/9.48 | % 33.64/9.48 | Equations (572) can reduce 330 to: % 33.64/9.48 | (51) ~ (e2 = e0) % 33.64/9.48 | % 33.64/9.48 | From (572) and (107) follows: % 33.64/9.48 | (14007) op(e4, e0) = e2 % 33.64/9.48 | % 33.64/9.48 +-Applying beta-rule and splitting (67), into two cases. % 33.64/9.48 |-Branch one: % 33.64/9.48 | (380) all_0_48_48 = e0 % 33.64/9.48 | % 33.64/9.48 | Equations (380) can reduce 292 to: % 33.64/9.48 | (303) $false % 33.64/9.48 | % 33.64/9.48 |-The branch is then unsatisfiable % 33.64/9.48 |-Branch two: % 33.64/9.48 | (292) ~ (all_0_48_48 = e0) % 33.64/9.48 | (383) all_0_49_49 = e0 | all_0_51_51 = e0 % 33.64/9.48 | % 33.64/9.48 +-Applying beta-rule and splitting (150), into two cases. % 33.64/9.48 |-Branch one: % 33.64/9.48 | (398) all_0_41_41 = e0 % 33.64/9.48 | % 33.64/9.48 | Equations (398) can reduce 326 to: % 33.64/9.48 | (303) $false % 33.64/9.48 | % 33.64/9.48 |-The branch is then unsatisfiable % 33.64/9.48 |-Branch two: % 33.64/9.48 | (326) ~ (all_0_41_41 = e0) % 33.64/9.48 | (401) all_0_49_49 = e0 | all_0_57_57 = e0 % 33.64/9.48 | % 33.64/9.48 +-Applying beta-rule and splitting (383), into two cases. % 33.64/9.48 |-Branch one: % 33.64/9.48 | (384) all_0_49_49 = e0 % 33.64/9.48 | % 33.64/9.48 | Combining equations (368,384) yields a new equation: % 33.64/9.48 | (403) e2 = e0 % 33.64/9.48 | % 33.64/9.48 | Simplifying 403 yields: % 33.64/9.48 | (385) e2 = e0 % 33.64/9.48 | % 33.64/9.48 | Equations (385) can reduce 51 to: % 33.64/9.48 | (303) $false % 33.64/9.48 | % 33.64/9.48 |-The branch is then unsatisfiable % 33.64/9.48 |-Branch two: % 33.64/9.48 | (387) ~ (all_0_49_49 = e0) % 33.64/9.48 | (388) all_0_51_51 = e0 % 33.64/9.48 | % 33.64/9.48 | Equations (388) can reduce 127 to: % 33.64/9.48 | (292) ~ (all_0_48_48 = e0) % 33.64/9.48 | % 33.64/9.48 | Equations (388) can reduce 171 to: % 33.64/9.48 | (207) ~ (all_0_50_50 = e0) % 33.64/9.48 | % 33.64/9.48 | Equations (388) can reduce 95 to: % 33.64/9.48 | (413) ~ (all_0_60_60 = e0) % 33.64/9.48 | % 33.64/9.48 | Simplifying 413 yields: % 33.64/9.48 | (414) ~ (all_0_60_60 = e0) % 33.64/9.48 | % 33.64/9.48 | Equations (388) can reduce 373 to: % 33.64/9.48 | (335) ~ (e2 = e0) % 33.64/9.48 | % 33.64/9.48 | Simplifying 335 yields: % 33.64/9.48 | (51) ~ (e2 = e0) % 33.64/9.48 | % 33.64/9.48 +-Applying beta-rule and splitting (220), into two cases. % 33.64/9.48 |-Branch one: % 33.64/9.48 | (913) all_0_60_60 = e2 % 33.64/9.48 | % 33.64/9.48 | Equations (913) can reduce 571 to: % 33.64/9.48 | (303) $false % 33.64/9.48 | % 33.64/9.48 |-The branch is then unsatisfiable % 33.64/9.48 |-Branch two: % 33.64/9.48 | (571) ~ (all_0_60_60 = e2) % 33.64/9.48 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 33.64/9.48 | % 33.64/9.48 +-Applying beta-rule and splitting (1275), into two cases. % 33.64/9.48 |-Branch one: % 33.64/9.48 | (1510) all_0_60_60 = e4 % 33.64/9.48 | % 33.64/9.48 | Equations (1510) can reduce 81 to: % 33.64/9.48 | (202) ~ (all_0_57_57 = e4) % 33.64/9.48 | % 33.64/9.48 | Equations (1510) can reduce 164 to: % 33.64/9.48 | (348) ~ (all_0_59_59 = e4) % 33.64/9.48 | % 33.64/9.48 | From (1510) and (170) follows: % 33.64/9.48 | (5006) op(e0, e0) = e4 % 33.64/9.48 | % 33.64/9.48 +-Applying beta-rule and splitting (401), into two cases. % 33.64/9.48 |-Branch one: % 33.64/9.48 | (384) all_0_49_49 = e0 % 33.64/9.48 | % 33.64/9.48 | Combining equations (384,368) yields a new equation: % 33.64/9.48 | (385) e2 = e0 % 33.64/9.48 | % 33.64/9.48 | Equations (385) can reduce 51 to: % 33.64/9.48 | (303) $false % 33.64/9.48 | % 33.64/9.48 |-The branch is then unsatisfiable % 33.64/9.48 |-Branch two: % 33.64/9.48 | (387) ~ (all_0_49_49 = e0) % 33.64/9.48 | (407) all_0_57_57 = e0 % 33.64/9.48 | % 33.64/9.48 | Equations (407) can reduce 11 to: % 33.64/9.48 | (326) ~ (all_0_41_41 = e0) % 33.64/9.48 | % 33.64/9.48 | Equations (407) can reduce 172 to: % 33.64/9.48 | (296) ~ (all_0_56_56 = e0) % 33.64/9.48 | % 33.64/9.48 | Equations (407) can reduce 222 to: % 33.64/9.48 | (411) ~ (all_0_59_59 = e0) % 33.64/9.48 | % 33.64/9.48 | Simplifying 411 yields: % 33.64/9.48 | (216) ~ (all_0_59_59 = e0) % 33.64/9.48 | % 33.64/9.48 | Equations (407) can reduce 202 to: % 33.64/9.48 | (297) ~ (e4 = e0) % 33.64/9.48 | % 33.64/9.48 | Simplifying 297 yields: % 33.64/9.48 | (4) ~ (e4 = e0) % 33.64/9.48 | % 33.64/9.48 | From (407) and (5) follows: % 33.64/9.48 | (420) op(e0, e3) = e0 % 33.64/9.48 | % 33.64/9.48 +-Applying beta-rule and splitting (221), into two cases. % 33.64/9.48 |-Branch one: % 33.64/9.48 | (696) all_0_41_41 = e1 % 33.64/9.48 | % 33.64/9.48 | Equations (696) can reduce 151 to: % 33.64/9.48 | (683) ~ (all_0_40_40 = e1) % 33.64/9.48 | % 33.64/9.48 | Equations (696) can reduce 43 to: % 33.64/9.48 | (1020) ~ (all_0_43_43 = e1) % 33.64/9.48 | % 33.64/9.48 | Simplifying 1020 yields: % 33.64/9.48 | (622) ~ (all_0_43_43 = e1) % 33.64/9.48 | % 33.64/9.48 +-Applying beta-rule and splitting (234), into two cases. % 33.64/9.48 |-Branch one: % 33.64/9.48 | (609) all_0_48_48 = e4 % 33.64/9.48 | % 33.64/9.48 | Equations (609) can reduce 53 to: % 33.64/9.48 | (844) ~ (all_0_40_40 = e4) % 33.64/9.48 | % 33.64/9.48 | Equations (609) can reduce 48 to: % 33.64/9.48 | (610) ~ (all_0_50_50 = e4) % 33.64/9.48 | % 33.64/9.48 | Simplifying 610 yields: % 33.64/9.48 | (611) ~ (all_0_50_50 = e4) % 33.64/9.48 | % 33.64/9.48 | Equations (609) can reduce 2 to: % 33.64/9.48 | (2280) ~ (all_0_56_56 = e4) % 33.64/9.48 | % 33.64/9.48 | Simplifying 2280 yields: % 33.64/9.48 | (345) ~ (all_0_56_56 = e4) % 33.64/9.48 | % 33.64/9.48 | From (609) and (105) follows: % 33.64/9.48 | (613) op(e2, e4) = e4 % 33.64/9.48 | % 33.64/9.48 +-Applying beta-rule and splitting (233), into two cases. % 33.64/9.48 |-Branch one: % 33.64/9.48 | (917) all_0_40_40 = e2 % 33.64/9.48 | % 33.64/9.48 | Equations (917) can reduce 939 to: % 33.64/9.48 | (303) $false % 33.64/9.48 | % 33.64/9.48 |-The branch is then unsatisfiable % 33.64/9.48 |-Branch two: % 33.64/9.48 | (939) ~ (all_0_40_40 = e2) % 33.64/9.48 | (2671) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 33.64/9.48 | % 33.64/9.48 +-Applying beta-rule and splitting (2671), into two cases. % 33.64/9.48 |-Branch one: % 33.64/9.48 | (723) all_0_40_40 = e4 % 33.64/9.48 | % 33.64/9.48 | Equations (723) can reduce 844 to: % 33.64/9.48 | (303) $false % 33.64/9.48 | % 33.64/9.48 |-The branch is then unsatisfiable % 33.64/9.48 |-Branch two: % 33.64/9.48 | (844) ~ (all_0_40_40 = e4) % 33.64/9.48 | (2800) all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 33.64/9.48 | % 33.64/9.48 +-Applying beta-rule and splitting (2800), into two cases. % 33.64/9.48 |-Branch one: % 33.64/9.48 | (624) all_0_40_40 = e1 % 33.64/9.48 | % 33.64/9.48 | Equations (624) can reduce 683 to: % 33.64/9.48 | (303) $false % 33.64/9.48 | % 33.64/9.48 |-The branch is then unsatisfiable % 33.64/9.48 |-Branch two: % 33.64/9.48 | (683) ~ (all_0_40_40 = e1) % 33.64/9.48 | (2833) all_0_40_40 = e3 | all_0_40_40 = e0 % 33.64/9.48 | % 33.64/9.48 +-Applying beta-rule and splitting (2833), into two cases. % 33.64/9.48 |-Branch one: % 33.64/9.48 | (2834) all_0_40_40 = e0 % 33.64/9.48 | % 33.64/9.48 | Equations (2834) can reduce 288 to: % 33.64/9.48 | (303) $false % 33.64/9.48 | % 33.64/9.48 |-The branch is then unsatisfiable % 33.64/9.48 |-Branch two: % 33.64/9.48 | (288) ~ (all_0_40_40 = e0) % 33.64/9.48 | (1102) all_0_40_40 = e3 % 33.64/9.48 | % 33.64/9.48 | Equations (1102) can reduce 8 to: % 33.64/9.48 | (433) ~ (all_0_43_43 = e3) % 33.64/9.48 | % 33.64/9.48 | Simplifying 433 yields: % 33.64/9.48 | (434) ~ (all_0_43_43 = e3) % 33.64/9.48 | % 33.64/9.48 | Equations (1102) can reduce 939 to: % 33.64/9.48 | (223) ~ (e3 = e2) % 33.64/9.48 | % 33.64/9.48 | From (1102) and (168) follows: % 33.64/9.48 | (1730) op(e4, e4) = e3 % 33.64/9.48 | % 33.64/9.48 +-Applying beta-rule and splitting (137), into two cases. % 33.64/9.48 |-Branch one: % 33.64/9.48 | (447) all_0_43_43 = e3 % 33.64/9.48 | % 33.64/9.48 | Equations (447) can reduce 434 to: % 33.64/9.48 | (303) $false % 33.64/9.48 | % 33.64/9.48 |-The branch is then unsatisfiable % 33.64/9.48 |-Branch two: % 33.64/9.48 | (434) ~ (all_0_43_43 = e3) % 33.64/9.48 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 33.64/9.48 | % 33.64/9.48 +-Applying beta-rule and splitting (139), into two cases. % 33.64/9.48 |-Branch one: % 33.64/9.48 | (614) all_0_43_43 = e4 % 33.64/9.48 | % 33.64/9.48 | Equations (614) can reduce 238 to: % 33.64/9.48 | (610) ~ (all_0_50_50 = e4) % 33.64/9.48 | % 33.64/9.48 | Simplifying 610 yields: % 33.64/9.48 | (611) ~ (all_0_50_50 = e4) % 33.64/9.48 | % 33.64/9.48 | Equations (614) can reduce 249 to: % 33.64/9.48 | (347) ~ (all_0_59_59 = e4) % 33.64/9.48 | % 33.64/9.48 | Simplifying 347 yields: % 33.64/9.48 | (348) ~ (all_0_59_59 = e4) % 33.64/9.48 | % 33.64/9.48 | From (614) and (19) follows: % 33.64/9.48 | (617) op(e4, e1) = e4 % 33.64/9.48 | % 33.64/9.48 +-Applying beta-rule and splitting (450), into two cases. % 33.64/9.48 |-Branch one: % 33.64/9.48 | (451) all_0_46_46 = e3 % 33.64/9.48 | % 33.64/9.48 | Combining equations (252,451) yields a new equation: % 33.64/9.48 | (453) e3 = e2 % 33.64/9.48 | % 33.64/9.48 | Equations (453) can reduce 223 to: % 33.64/9.48 | (303) $false % 33.64/9.48 | % 33.64/9.48 |-The branch is then unsatisfiable % 33.64/9.48 |-Branch two: % 33.64/9.48 | (455) ~ (all_0_46_46 = e3) % 33.64/9.48 | (456) all_0_59_59 = e3 % 33.64/9.48 | % 33.64/9.49 | Equations (456) can reduce 42 to: % 33.64/9.49 | (526) ~ (all_0_56_56 = e3) % 33.64/9.49 | % 33.64/9.49 | Equations (456) can reduce 348 to: % 33.64/9.49 | (439) ~ (e4 = e3) % 33.64/9.49 | % 33.64/9.49 | Simplifying 439 yields: % 33.64/9.49 | (30) ~ (e4 = e3) % 33.64/9.49 | % 33.64/9.49 | Equations (456) can reduce 216 to: % 33.64/9.49 | (70) ~ (e3 = e0) % 33.64/9.49 | % 33.64/9.49 | From (456) and (90) follows: % 33.64/9.49 | (461) op(e0, e1) = e3 % 33.64/9.49 | % 33.64/9.49 +-Applying beta-rule and splitting (245), into two cases. % 33.64/9.49 |-Branch one: % 33.64/9.49 | (583) all_0_56_56 = e1 % 33.64/9.49 | % 33.64/9.49 +-Applying beta-rule and splitting (367), into two cases. % 33.64/9.49 |-Branch one: % 33.64/9.49 | (714) all_0_50_50 = e4 % 33.64/9.49 | % 33.64/9.49 | Equations (714) can reduce 611 to: % 33.64/9.49 | (303) $false % 33.64/9.49 | % 33.64/9.49 |-The branch is then unsatisfiable % 33.64/9.49 |-Branch two: % 33.64/9.49 | (611) ~ (all_0_50_50 = e4) % 33.64/9.49 | (627) all_0_50_50 = e1 % 33.64/9.49 | % 33.64/9.49 | Equations (627) can reduce 207 to: % 33.64/9.49 | (134) ~ (e1 = e0) % 33.64/9.49 | % 33.64/9.49 | From (627) and (186) follows: % 33.64/9.49 | (1166) op(e2, e1) = e1 % 33.64/9.49 | % 33.64/9.49 +-Applying beta-rule and splitting (56), into two cases. % 33.64/9.49 |-Branch one: % 33.64/9.49 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 33.64/9.49 | % 33.64/9.49 +-Applying beta-rule and splitting (480), into two cases. % 33.64/9.49 |-Branch one: % 33.64/9.49 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 33.64/9.49 | % 33.64/9.49 +-Applying beta-rule and splitting (481), into two cases. % 33.64/9.49 |-Branch one: % 33.64/9.49 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 33.64/9.49 | % 33.64/9.49 +-Applying beta-rule and splitting (482), into two cases. % 33.64/9.49 |-Branch one: % 33.64/9.49 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 33.64/9.49 | % 33.64/9.49 | Applying alpha-rule on (483) yields: % 33.64/9.49 | (484) ~ (unit = e4) % 33.64/9.49 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 33.64/9.49 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 33.64/9.49 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 33.64/9.49 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 33.64/9.49 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 33.64/9.49 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 33.64/9.49 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 33.64/9.49 | (492) ~ (all_0_55_55 = e4) % 33.64/9.49 | (493) all_0_45_45 = e3 % 33.64/9.49 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 33.64/9.49 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 33.64/9.49 | % 33.64/9.49 | Combining equations (287,493) yields a new equation: % 33.64/9.49 | (497) e3 = e0 % 33.64/9.49 | % 33.64/9.49 | Equations (497) can reduce 70 to: % 33.64/9.49 | (303) $false % 33.64/9.49 | % 33.64/9.49 |-The branch is then unsatisfiable % 33.64/9.49 |-Branch two: % 33.64/9.49 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 33.64/9.49 | % 33.64/9.49 | Applying alpha-rule on (499) yields: % 33.64/9.49 | (500) ~ (all_0_51_51 = e1) % 33.64/9.49 | (501) ~ (all_0_60_60 = e1) % 33.64/9.49 | (502) ~ (all_0_52_52 = e1) % 33.64/9.49 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 33.64/9.49 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 33.64/9.49 | (252) all_0_46_46 = e2 % 33.64/9.49 | (506) ~ (all_0_49_49 = e1) % 33.64/9.49 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 33.64/9.49 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 33.64/9.49 | (509) ~ (all_0_53_53 = e1) % 33.64/9.49 | (510) ~ (unit = e1) % 33.64/9.49 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 33.64/9.49 | (512) ~ (all_0_44_44 = e1) % 33.64/9.49 | % 33.64/9.49 +-Applying beta-rule and splitting (511), into two cases. % 33.64/9.49 |-Branch one: % 33.64/9.49 | (587) ~ (all_0_56_56 = e1) % 33.64/9.49 | % 33.64/9.49 | Equations (583) can reduce 587 to: % 33.64/9.49 | (303) $false % 33.64/9.49 | % 33.64/9.49 |-The branch is then unsatisfiable % 33.64/9.49 |-Branch two: % 33.64/9.49 | (583) all_0_56_56 = e1 % 33.64/9.49 | (717) all_0_59_59 = e4 % 33.64/9.49 | % 33.64/9.49 | Combining equations (717,456) yields a new equation: % 33.64/9.49 | (718) e4 = e3 % 33.64/9.49 | % 33.64/9.49 | Simplifying 718 yields: % 33.64/9.49 | (443) e4 = e3 % 33.64/9.49 | % 33.64/9.49 | Equations (443) can reduce 30 to: % 33.64/9.49 | (303) $false % 33.64/9.49 | % 33.64/9.49 |-The branch is then unsatisfiable % 33.64/9.49 |-Branch two: % 33.64/9.49 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 33.64/9.49 | % 33.64/9.49 | Applying alpha-rule on (514) yields: % 33.64/9.49 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 33.64/9.49 | (516) ~ (all_0_47_47 = e3) % 33.64/9.49 | (314) ~ (all_0_55_55 = e3) % 33.64/9.49 | (368) all_0_49_49 = e2 % 33.64/9.49 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 33.64/9.49 | (520) ~ (unit = e3) % 33.64/9.49 | (521) ~ (all_0_52_52 = e3) % 33.64/9.49 | (455) ~ (all_0_46_46 = e3) % 33.64/9.49 | (432) ~ (all_0_40_40 = e3) % 33.64/9.49 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 33.64/9.49 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 33.64/9.49 | (526) ~ (all_0_56_56 = e3) % 33.64/9.49 | % 33.64/9.49 | Equations (309) can reduce 516 to: % 33.64/9.49 | (303) $false % 33.64/9.49 | % 33.64/9.49 |-The branch is then unsatisfiable % 33.64/9.49 |-Branch two: % 33.64/9.49 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 33.64/9.49 | % 33.64/9.49 | Applying alpha-rule on (528) yields: % 33.64/9.49 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 33.64/9.49 | (530) all_0_55_55 = e1 % 33.64/9.49 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 33.64/9.49 | (387) ~ (all_0_49_49 = e0) % 33.64/9.49 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 33.64/9.49 | (534) ~ (all_0_45_45 = e0) % 33.64/9.49 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 33.64/9.49 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 33.64/9.49 | (537) ~ (unit = e0) % 33.64/9.49 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 33.64/9.49 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 33.64/9.49 | % 33.64/9.49 | Equations (287) can reduce 534 to: % 33.64/9.49 | (303) $false % 33.64/9.49 | % 33.64/9.49 |-The branch is then unsatisfiable % 33.64/9.49 |-Branch two: % 33.64/9.49 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 33.64/9.49 | % 33.64/9.49 | Applying alpha-rule on (543) yields: % 33.64/9.49 | (544) ~ (all_0_48_48 = e2) % 33.64/9.49 | (369) ~ (all_0_41_41 = e2) % 33.64/9.49 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 33.64/9.49 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 33.64/9.49 | (253) ~ (all_0_43_43 = e2) % 33.64/9.49 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 33.64/9.49 | (276) ~ (all_0_55_55 = e2) % 33.64/9.49 | (260) ~ (all_0_59_59 = e2) % 33.64/9.49 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 33.64/9.49 | (274) ~ (all_0_53_53 = e2) % 33.64/9.49 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 33.64/9.49 | (373) ~ (all_0_51_51 = e2) % 33.64/9.49 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 33.64/9.49 | (256) ~ (all_0_47_47 = e2) % 33.64/9.49 | (377) ~ (all_0_57_57 = e2) % 33.64/9.49 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 33.64/9.49 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 33.64/9.49 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 33.64/9.49 | (258) ~ (all_0_50_50 = e2) % 33.64/9.49 | (254) ~ (all_0_45_45 = e2) % 33.64/9.49 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 33.64/9.49 | % 33.64/9.49 +-Applying beta-rule and splitting (561), into two cases. % 33.64/9.49 |-Branch one: % 33.64/9.49 | (278) ~ (all_0_58_58 = e2) % 33.64/9.49 | % 33.64/9.49 | Equations (340) can reduce 278 to: % 33.64/9.49 | (303) $false % 33.64/9.49 | % 33.64/9.49 |-The branch is then unsatisfiable % 33.64/9.49 |-Branch two: % 33.64/9.49 | (340) all_0_58_58 = e2 % 33.64/9.49 | (599) ~ (unit = e2) % 33.64/9.49 | % 33.64/9.49 +-Applying beta-rule and splitting (62), into two cases. % 33.64/9.49 |-Branch one: % 33.64/9.49 | (631) unit = e2 % 33.64/9.49 | % 33.64/9.49 | Equations (631) can reduce 599 to: % 33.64/9.49 | (303) $false % 33.64/9.49 | % 33.64/9.49 |-The branch is then unsatisfiable % 33.64/9.49 |-Branch two: % 33.64/9.49 | (599) ~ (unit = e2) % 33.64/9.49 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 33.64/9.49 | % 33.64/9.49 +-Applying beta-rule and splitting (634), into two cases. % 33.64/9.49 |-Branch one: % 33.64/9.49 | (635) unit = e4 % 33.64/9.49 | % 33.64/9.49 | From (635) and (38) follows: % 33.64/9.49 | (636) op(e4, e1) = e1 % 33.64/9.49 | % 33.64/9.49 | From (635) and (130) follows: % 33.64/9.49 | (1177) op(e4, e4) = e4 % 33.64/9.49 | % 33.64/9.49 | From (635) and (98) follows: % 33.64/9.49 | (2729) op(e3, e4) = e3 % 33.64/9.49 | % 33.64/9.49 | From (635) and (74) follows: % 33.64/9.49 | (637) op(e2, e4) = e2 % 33.64/9.49 | % 33.64/9.49 | Instantiating formula (29) with e4, e4, e4, e3 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e3, yields: % 33.64/9.49 | (443) e4 = e3 % 33.64/9.49 | % 33.64/9.49 | Instantiating formula (29) with e4, e1, e1, e4 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e1, yields: % 33.64/9.49 | (541) e4 = e1 % 33.64/9.49 | % 33.64/9.49 | Instantiating formula (29) with e3, e4, e3, e0 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e0, yields: % 33.64/9.49 | (497) e3 = e0 % 33.64/9.49 | % 33.64/9.49 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 33.64/9.49 | (470) e4 = e2 % 33.64/9.49 | % 33.64/9.49 | Combining equations (541,470) yields a new equation: % 33.64/9.49 | (585) e2 = e1 % 33.64/9.49 | % 33.64/9.49 | Combining equations (443,470) yields a new equation: % 33.64/9.49 | (452) e3 = e2 % 33.64/9.49 | % 33.64/9.49 | Simplifying 452 yields: % 33.64/9.49 | (453) e3 = e2 % 33.64/9.49 | % 33.64/9.49 | Combining equations (453,497) yields a new equation: % 33.64/9.49 | (403) e2 = e0 % 33.64/9.49 | % 33.64/9.49 | Simplifying 403 yields: % 33.64/9.49 | (385) e2 = e0 % 33.64/9.49 | % 33.64/9.49 | Combining equations (585,385) yields a new equation: % 33.64/9.49 | (670) e1 = e0 % 33.64/9.49 | % 33.64/9.49 | Simplifying 670 yields: % 33.64/9.49 | (590) e1 = e0 % 33.64/9.49 | % 33.64/9.49 | Equations (590) can reduce 134 to: % 33.64/9.49 | (303) $false % 33.64/9.49 | % 33.64/9.49 |-The branch is then unsatisfiable % 33.64/9.49 |-Branch two: % 33.64/9.49 | (484) ~ (unit = e4) % 33.64/9.49 | (647) unit = e3 | unit = e1 | unit = e0 % 33.64/9.49 | % 33.64/9.49 +-Applying beta-rule and splitting (647), into two cases. % 33.64/9.49 |-Branch one: % 33.64/9.49 | (648) unit = e1 % 33.64/9.49 | % 33.64/9.49 | From (648) and (98) follows: % 33.64/9.49 | (1862) op(e3, e1) = e3 % 33.64/9.49 | % 33.64/9.49 | From (648) and (74) follows: % 33.64/9.49 | (769) op(e2, e1) = e2 % 33.64/9.49 | % 33.64/9.49 | From (648) and (111) follows: % 33.64/9.49 | (770) op(e0, e1) = e0 % 33.64/9.49 | % 33.64/9.49 | Instantiating formula (29) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields: % 33.64/9.49 | (453) e3 = e2 % 33.64/9.49 | % 33.64/9.49 | Instantiating formula (29) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 33.64/9.49 | (585) e2 = e1 % 33.64/9.49 | % 33.64/9.49 | Instantiating formula (29) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields: % 33.64/9.49 | (497) e3 = e0 % 33.64/9.49 | % 33.64/9.49 | Combining equations (497,453) yields a new equation: % 33.64/9.49 | (385) e2 = e0 % 33.64/9.49 | % 33.64/9.49 | Combining equations (385,585) yields a new equation: % 33.64/9.49 | (590) e1 = e0 % 33.64/9.49 | % 33.64/9.49 | Equations (590) can reduce 134 to: % 33.64/9.49 | (303) $false % 33.64/9.49 | % 33.64/9.49 |-The branch is then unsatisfiable % 33.64/9.49 |-Branch two: % 33.64/9.49 | (510) ~ (unit = e1) % 33.64/9.49 | (659) unit = e3 | unit = e0 % 33.64/9.49 | % 33.64/9.49 +-Applying beta-rule and splitting (659), into two cases. % 33.64/9.49 |-Branch one: % 33.64/9.49 | (660) unit = e0 % 33.64/9.49 | % 33.64/9.49 | Equations (660) can reduce 510 to: % 33.64/9.49 | (661) ~ (e1 = e0) % 33.64/9.49 | % 33.64/9.49 | Simplifying 661 yields: % 33.64/9.49 | (134) ~ (e1 = e0) % 33.64/9.49 | % 33.64/9.49 | From (660) and (232) follows: % 33.64/9.49 | (1196) op(e0, e3) = e3 % 33.64/9.49 | % 33.64/9.49 | From (660) and (38) follows: % 33.64/9.49 | (2749) op(e0, e1) = e1 % 33.64/9.49 | % 33.64/9.49 | Instantiating formula (29) with e0, e3, e3, e0 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields: % 33.64/9.49 | (497) e3 = e0 % 33.64/9.49 | % 33.64/9.49 | Instantiating formula (29) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields: % 33.64/9.49 | (601) e3 = e1 % 33.64/9.49 | % 33.64/9.49 | Combining equations (497,601) yields a new equation: % 33.64/9.49 | (590) e1 = e0 % 33.64/9.49 | % 33.64/9.49 | Equations (590) can reduce 134 to: % 33.64/9.49 | (303) $false % 33.64/9.49 | % 33.64/9.49 |-The branch is then unsatisfiable % 33.64/9.49 |-Branch two: % 33.64/9.49 | (537) ~ (unit = e0) % 33.64/9.49 | (674) unit = e3 % 33.64/9.49 | % 33.64/9.49 | From (674) and (17) follows: % 33.64/9.49 | (1207) op(e3, e4) = e4 % 33.64/9.49 | % 33.64/9.49 | From (674) and (98) follows: % 33.64/9.49 | (1208) op(e3, e3) = e3 % 33.64/9.49 | % 33.64/9.49 | From (674) and (190) follows: % 33.64/9.49 | (468) op(e1, e3) = e1 % 33.64/9.49 | % 33.64/9.49 | Instantiating formula (29) with e3, e4, e4, e0 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e0, yields: % 33.64/9.49 | (654) e4 = e0 % 33.64/9.49 | % 33.64/9.49 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 33.64/9.49 | (443) e4 = e3 % 33.64/9.49 | % 33.64/9.49 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 33.64/9.49 | (601) e3 = e1 % 33.64/9.49 | % 33.64/9.49 | Combining equations (443,654) yields a new equation: % 33.64/9.49 | (496) e3 = e0 % 33.64/9.49 | % 33.64/9.49 | Simplifying 496 yields: % 33.64/9.49 | (497) e3 = e0 % 33.64/9.49 | % 33.64/9.49 | Combining equations (497,601) yields a new equation: % 33.64/9.49 | (590) e1 = e0 % 33.64/9.49 | % 33.64/9.49 | Equations (590) can reduce 134 to: % 33.64/9.49 | (303) $false % 33.64/9.49 | % 33.64/9.49 |-The branch is then unsatisfiable % 33.64/9.49 |-Branch two: % 33.64/9.49 | (587) ~ (all_0_56_56 = e1) % 33.64/9.49 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 33.64/9.49 | % 33.64/9.49 +-Applying beta-rule and splitting (141), into two cases. % 33.64/9.49 |-Branch one: % 33.64/9.49 | (580) all_0_56_56 = e2 % 33.64/9.49 | % 33.64/9.49 | Equations (580) can reduce 594 to: % 33.64/9.49 | (303) $false % 33.64/9.49 | % 33.64/9.49 |-The branch is then unsatisfiable % 33.64/9.49 |-Branch two: % 33.64/9.49 | (594) ~ (all_0_56_56 = e2) % 33.64/9.49 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 33.64/9.49 | % 33.64/9.49 +-Applying beta-rule and splitting (979), into two cases. % 33.64/9.49 |-Branch one: % 33.64/9.49 | (877) all_0_56_56 = e4 % 33.64/9.49 | % 33.64/9.49 | Equations (877) can reduce 345 to: % 33.64/9.49 | (303) $false % 33.64/9.49 | % 33.64/9.49 |-The branch is then unsatisfiable % 33.64/9.49 |-Branch two: % 33.64/9.49 | (345) ~ (all_0_56_56 = e4) % 33.64/9.49 | (2325) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 33.64/9.49 | % 33.64/9.49 +-Applying beta-rule and splitting (2325), into two cases. % 33.64/9.49 |-Branch one: % 33.64/9.49 | (583) all_0_56_56 = e1 % 33.64/9.49 | % 33.64/9.49 | Equations (583) can reduce 587 to: % 33.64/9.49 | (303) $false % 33.64/9.49 | % 33.64/9.49 |-The branch is then unsatisfiable % 33.64/9.49 |-Branch two: % 33.64/9.49 | (587) ~ (all_0_56_56 = e1) % 33.64/9.49 | (2329) all_0_56_56 = e3 | all_0_56_56 = e0 % 33.64/9.49 | % 33.64/9.49 +-Applying beta-rule and splitting (2329), into two cases. % 33.64/9.49 |-Branch one: % 33.64/9.49 | (2307) all_0_56_56 = e0 % 33.64/9.49 | % 33.64/9.49 | Equations (2307) can reduce 296 to: % 33.64/9.49 | (303) $false % 33.64/9.49 | % 33.64/9.49 |-The branch is then unsatisfiable % 33.64/9.49 |-Branch two: % 33.64/9.49 | (296) ~ (all_0_56_56 = e0) % 33.64/9.49 | (1111) all_0_56_56 = e3 % 33.64/9.49 | % 33.64/9.49 | Equations (1111) can reduce 526 to: % 33.64/9.49 | (303) $false % 33.64/9.49 | % 33.64/9.49 |-The branch is then unsatisfiable % 33.64/9.50 |-Branch two: % 33.64/9.50 | (712) ~ (all_0_43_43 = e4) % 33.64/9.50 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 33.64/9.50 | % 33.64/9.50 +-Applying beta-rule and splitting (713), into two cases. % 33.64/9.50 |-Branch one: % 33.64/9.50 | (714) all_0_50_50 = e4 % 33.64/9.50 | % 33.64/9.50 | Equations (714) can reduce 611 to: % 33.64/9.50 | (303) $false % 33.64/9.50 | % 33.64/9.50 |-The branch is then unsatisfiable % 33.64/9.50 |-Branch two: % 33.64/9.50 | (611) ~ (all_0_50_50 = e4) % 33.64/9.50 | (717) all_0_59_59 = e4 % 33.64/9.50 | % 33.64/9.50 | Equations (717) can reduce 348 to: % 33.64/9.50 | (303) $false % 33.64/9.50 | % 33.64/9.50 |-The branch is then unsatisfiable % 33.64/9.50 |-Branch two: % 33.64/9.50 | (721) ~ (all_0_48_48 = e4) % 33.64/9.50 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 33.64/9.50 | % 33.64/9.50 +-Applying beta-rule and splitting (212), into two cases. % 33.64/9.50 |-Branch one: % 33.64/9.50 | (727) all_0_48_48 = e2 % 33.64/9.50 | % 33.64/9.50 | Equations (727) can reduce 544 to: % 33.64/9.50 | (303) $false % 33.64/9.50 | % 33.64/9.50 |-The branch is then unsatisfiable % 33.64/9.50 |-Branch two: % 33.64/9.50 | (544) ~ (all_0_48_48 = e2) % 33.64/9.50 | (730) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 33.64/9.50 | % 33.64/9.50 +-Applying beta-rule and splitting (730), into two cases. % 33.64/9.50 |-Branch one: % 33.64/9.50 | (609) all_0_48_48 = e4 % 33.64/9.50 | % 33.64/9.50 | Equations (609) can reduce 721 to: % 33.64/9.50 | (303) $false % 33.64/9.50 | % 33.64/9.50 |-The branch is then unsatisfiable % 33.64/9.50 |-Branch two: % 33.64/9.50 | (721) ~ (all_0_48_48 = e4) % 33.64/9.50 | (811) all_0_48_48 = e1 | all_0_48_48 = e0 % 33.64/9.50 | % 33.64/9.50 +-Applying beta-rule and splitting (722), into two cases. % 33.64/9.50 |-Branch one: % 33.64/9.50 | (714) all_0_50_50 = e4 % 33.64/9.50 | % 33.64/9.50 | Equations (714) can reduce 238 to: % 33.64/9.50 | (712) ~ (all_0_43_43 = e4) % 33.64/9.50 | % 33.64/9.50 | Equations (714) can reduce 258 to: % 33.64/9.50 | (231) ~ (e4 = e2) % 33.64/9.50 | % 33.64/9.50 | Equations (714) can reduce 207 to: % 33.64/9.50 | (4) ~ (e4 = e0) % 33.64/9.50 | % 33.64/9.50 +-Applying beta-rule and splitting (811), into two cases. % 33.64/9.50 |-Branch one: % 33.64/9.50 | (748) all_0_48_48 = e1 % 33.64/9.50 | % 33.64/9.50 | Equations (748) can reduce 53 to: % 33.64/9.50 | (683) ~ (all_0_40_40 = e1) % 33.64/9.50 | % 33.64/9.50 +-Applying beta-rule and splitting (100), into two cases. % 33.64/9.50 |-Branch one: % 33.64/9.50 | (618) all_0_43_43 = e1 % 33.64/9.50 | % 33.64/9.50 | Equations (618) can reduce 622 to: % 33.64/9.50 | (303) $false % 33.64/9.50 | % 33.64/9.50 |-The branch is then unsatisfiable % 33.64/9.50 |-Branch two: % 33.64/9.50 | (622) ~ (all_0_43_43 = e1) % 33.64/9.50 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 33.64/9.50 | % 33.64/9.50 +-Applying beta-rule and splitting (21), into two cases. % 33.64/9.50 |-Branch one: % 33.64/9.50 | (723) all_0_40_40 = e4 % 33.64/9.50 | % 33.64/9.50 | Equations (723) can reduce 683 to: % 33.64/9.50 | (247) ~ (e4 = e1) % 33.64/9.50 | % 33.64/9.50 +-Applying beta-rule and splitting (623), into two cases. % 33.64/9.50 |-Branch one: % 33.64/9.50 | (627) all_0_50_50 = e1 % 33.64/9.50 | % 33.64/9.50 | Combining equations (714,627) yields a new equation: % 33.64/9.50 | (540) e4 = e1 % 33.64/9.50 | % 33.64/9.50 | Simplifying 540 yields: % 33.64/9.50 | (541) e4 = e1 % 33.64/9.50 | % 33.64/9.50 | Equations (541) can reduce 247 to: % 33.64/9.50 | (303) $false % 33.64/9.50 | % 33.64/9.50 |-The branch is then unsatisfiable % 33.64/9.50 |-Branch two: % 33.64/9.50 | (678) ~ (all_0_50_50 = e1) % 33.64/9.50 | (600) all_0_59_59 = e1 % 33.64/9.50 | % 33.64/9.50 | Equations (600) can reduce 216 to: % 33.64/9.50 | (134) ~ (e1 = e0) % 33.64/9.50 | % 33.64/9.50 | From (600) and (90) follows: % 33.64/9.50 | (2749) op(e0, e1) = e1 % 33.64/9.50 | % 33.64/9.50 +-Applying beta-rule and splitting (62), into two cases. % 33.64/9.50 |-Branch one: % 33.64/9.50 | (631) unit = e2 % 33.64/9.50 | % 33.64/9.50 | From (631) and (98) follows: % 33.64/9.50 | (5015) op(e3, e2) = e3 % 33.64/9.50 | % 33.64/9.50 | From (631) and (74) follows: % 33.64/9.50 | (2715) op(e2, e2) = e2 % 33.64/9.50 | % 33.64/9.50 | From (631) and (111) follows: % 33.64/9.50 | (1167) op(e0, e2) = e0 % 33.64/9.50 | % 33.64/9.50 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 33.64/9.50 | (601) e3 = e1 % 33.64/9.50 | % 33.64/9.50 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 33.64/9.50 | (453) e3 = e2 % 33.64/9.50 | % 33.64/9.50 | Instantiating formula (29) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 33.64/9.50 | (385) e2 = e0 % 33.64/9.50 | % 33.64/9.50 | Combining equations (601,453) yields a new equation: % 33.64/9.50 | (585) e2 = e1 % 33.64/9.50 | % 33.64/9.50 | Combining equations (585,385) yields a new equation: % 33.64/9.50 | (670) e1 = e0 % 33.64/9.50 | % 33.64/9.50 | Simplifying 670 yields: % 33.64/9.50 | (590) e1 = e0 % 33.64/9.50 | % 33.64/9.50 | Equations (590) can reduce 134 to: % 33.64/9.50 | (303) $false % 33.64/9.50 | % 33.64/9.50 |-The branch is then unsatisfiable % 33.64/9.50 |-Branch two: % 33.64/9.50 | (599) ~ (unit = e2) % 33.64/9.50 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 33.64/9.50 | % 33.64/9.50 +-Applying beta-rule and splitting (634), into two cases. % 33.64/9.50 |-Branch one: % 33.64/9.50 | (635) unit = e4 % 33.64/9.50 | % 33.64/9.50 | From (635) and (189) follows: % 33.64/9.50 | (8484) op(e4, e0) = e0 % 33.64/9.50 | % 33.64/9.50 | From (635) and (190) follows: % 33.64/9.50 | (1178) op(e1, e4) = e1 % 33.64/9.50 | % 33.64/9.50 | Instantiating formula (29) with e4, e0, e0, e2 and discharging atoms op(e4, e0) = e2, op(e4, e0) = e0, yields: % 33.64/9.50 | (385) e2 = e0 % 33.64/9.50 | % 33.64/9.50 | Instantiating formula (29) with e1, e4, e1, e2 and discharging atoms op(e1, e4) = e2, op(e1, e4) = e1, yields: % 33.64/9.50 | (585) e2 = e1 % 33.64/9.50 | % 33.64/9.50 | Combining equations (385,585) yields a new equation: % 33.64/9.50 | (590) e1 = e0 % 33.64/9.50 | % 33.64/9.50 | Equations (590) can reduce 134 to: % 33.64/9.50 | (303) $false % 33.64/9.50 | % 33.64/9.50 |-The branch is then unsatisfiable % 33.64/9.50 |-Branch two: % 33.64/9.50 | (484) ~ (unit = e4) % 33.64/9.50 | (647) unit = e3 | unit = e1 | unit = e0 % 33.64/9.50 | % 33.64/9.50 +-Applying beta-rule and splitting (647), into two cases. % 33.64/9.50 |-Branch one: % 33.64/9.50 | (648) unit = e1 % 33.64/9.50 | % 33.64/9.50 | From (648) and (111) follows: % 33.64/9.50 | (770) op(e0, e1) = e0 % 33.64/9.50 | % 33.64/9.50 | Instantiating formula (29) with e0, e1, e0, e1 and discharging atoms op(e0, e1) = e1, op(e0, e1) = e0, yields: % 33.64/9.50 | (590) e1 = e0 % 33.64/9.50 | % 33.64/9.50 | Equations (590) can reduce 134 to: % 33.64/9.50 | (303) $false % 33.64/9.50 | % 33.64/9.50 |-The branch is then unsatisfiable % 33.64/9.50 |-Branch two: % 33.64/9.50 | (510) ~ (unit = e1) % 33.64/9.50 | (659) unit = e3 | unit = e0 % 33.64/9.50 | % 33.64/9.50 +-Applying beta-rule and splitting (659), into two cases. % 33.64/9.50 |-Branch one: % 33.64/9.50 | (660) unit = e0 % 33.64/9.50 | % 33.64/9.50 | Equations (660) can reduce 599 to: % 33.64/9.50 | (335) ~ (e2 = e0) % 33.64/9.50 | % 33.64/9.50 | Simplifying 335 yields: % 33.64/9.50 | (51) ~ (e2 = e0) % 33.64/9.50 | % 33.64/9.50 | From (660) and (130) follows: % 33.64/9.50 | (8501) op(e4, e0) = e4 % 33.64/9.50 | % 33.64/9.50 | From (660) and (111) follows: % 33.64/9.50 | (3633) op(e0, e0) = e0 % 33.64/9.50 | % 33.64/9.50 | Instantiating formula (29) with e4, e0, e4, e2 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e2, yields: % 33.64/9.50 | (470) e4 = e2 % 33.64/9.50 | % 33.64/9.50 | Instantiating formula (29) with e0, e0, e0, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields: % 33.64/9.50 | (654) e4 = e0 % 33.64/9.50 | % 33.64/9.50 | Combining equations (470,654) yields a new equation: % 33.64/9.50 | (403) e2 = e0 % 33.64/9.50 | % 33.64/9.50 | Simplifying 403 yields: % 33.64/9.50 | (385) e2 = e0 % 33.64/9.50 | % 33.64/9.50 | Equations (385) can reduce 51 to: % 33.64/9.50 | (303) $false % 33.64/9.50 | % 33.64/9.50 |-The branch is then unsatisfiable % 33.64/9.50 |-Branch two: % 33.64/9.50 | (537) ~ (unit = e0) % 33.64/9.50 | (674) unit = e3 % 33.64/9.50 | % 33.64/9.50 | From (674) and (17) follows: % 33.64/9.50 | (1207) op(e3, e4) = e4 % 33.64/9.50 | % 33.64/9.50 | From (674) and (98) follows: % 33.64/9.50 | (1208) op(e3, e3) = e3 % 33.64/9.50 | % 33.64/9.50 | From (674) and (190) follows: % 33.64/9.50 | (468) op(e1, e3) = e1 % 33.64/9.50 | % 33.64/9.50 | Instantiating formula (29) with e3, e4, e4, e0 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e0, yields: % 33.64/9.50 | (654) e4 = e0 % 33.64/9.50 | % 33.64/9.50 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 33.64/9.50 | (443) e4 = e3 % 33.64/9.50 | % 33.64/9.50 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 33.64/9.50 | (601) e3 = e1 % 33.64/9.50 | % 33.64/9.50 | Combining equations (443,654) yields a new equation: % 33.64/9.50 | (496) e3 = e0 % 33.64/9.50 | % 33.64/9.50 | Simplifying 496 yields: % 33.64/9.50 | (497) e3 = e0 % 33.64/9.50 | % 33.64/9.50 | Combining equations (497,601) yields a new equation: % 33.64/9.50 | (590) e1 = e0 % 33.64/9.50 | % 33.64/9.50 | Equations (590) can reduce 134 to: % 33.64/9.50 | (303) $false % 33.64/9.50 | % 33.64/9.50 |-The branch is then unsatisfiable % 33.64/9.50 |-Branch two: % 33.64/9.50 | (844) ~ (all_0_40_40 = e4) % 33.64/9.50 | (6577) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 33.64/9.50 | % 33.64/9.50 +-Applying beta-rule and splitting (6577), into two cases. % 33.64/9.50 |-Branch one: % 33.64/9.50 | (3175) all_0_42_42 = e4 % 33.64/9.50 | % 33.64/9.50 | Combining equations (3175,324) yields a new equation: % 33.64/9.50 | (1573) e4 = e0 % 33.64/9.50 | % 33.64/9.50 | Simplifying 1573 yields: % 33.64/9.50 | (654) e4 = e0 % 33.64/9.50 | % 33.64/9.50 | Equations (654) can reduce 4 to: % 33.64/9.50 | (303) $false % 33.64/9.50 | % 33.64/9.50 |-The branch is then unsatisfiable % 33.64/9.50 |-Branch two: % 33.64/9.50 | (6245) ~ (all_0_42_42 = e4) % 33.64/9.50 | (6600) all_0_43_43 = e4 | all_0_44_44 = e4 % 33.64/9.50 | % 33.64/9.50 +-Applying beta-rule and splitting (6600), into two cases. % 33.64/9.50 |-Branch one: % 33.64/9.50 | (614) all_0_43_43 = e4 % 33.64/9.50 | % 33.64/9.50 | Equations (614) can reduce 712 to: % 33.64/9.50 | (303) $false % 33.64/9.50 | % 33.64/9.50 |-The branch is then unsatisfiable % 33.64/9.50 |-Branch two: % 33.64/9.50 | (712) ~ (all_0_43_43 = e4) % 33.64/9.50 | (1096) all_0_44_44 = e4 % 33.64/9.50 | % 33.64/9.50 | Combining equations (572,1096) yields a new equation: % 33.64/9.50 | (470) e4 = e2 % 33.64/9.50 | % 33.64/9.50 | Equations (470) can reduce 231 to: % 33.64/9.50 | (303) $false % 33.64/9.50 | % 33.64/9.50 |-The branch is then unsatisfiable % 33.64/9.50 |-Branch two: % 33.64/9.50 | (802) ~ (all_0_48_48 = e1) % 33.64/9.50 | (380) all_0_48_48 = e0 % 33.64/9.50 | % 33.64/9.50 | Equations (380) can reduce 292 to: % 33.64/9.50 | (303) $false % 33.64/9.50 | % 33.64/9.50 |-The branch is then unsatisfiable % 33.64/9.50 |-Branch two: % 33.64/9.50 | (611) ~ (all_0_50_50 = e4) % 33.64/9.50 | (1501) all_0_51_51 = e4 % 33.64/9.50 | % 33.64/9.50 | Combining equations (388,1501) yields a new equation: % 33.64/9.50 | (654) e4 = e0 % 33.64/9.50 | % 33.64/9.50 | Equations (654) can reduce 4 to: % 33.64/9.50 | (303) $false % 33.64/9.50 | % 33.64/9.50 |-The branch is then unsatisfiable % 33.64/9.50 |-Branch two: % 33.64/9.50 | (699) ~ (all_0_41_41 = e1) % 33.64/9.50 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 33.64/9.50 | % 33.64/9.50 +-Applying beta-rule and splitting (1017), into two cases. % 33.64/9.50 |-Branch one: % 33.64/9.50 | (696) all_0_41_41 = e1 % 33.64/9.50 | % 33.64/9.50 | Equations (696) can reduce 699 to: % 33.64/9.50 | (303) $false % 33.64/9.50 | % 33.64/9.50 |-The branch is then unsatisfiable % 33.64/9.50 |-Branch two: % 33.64/9.50 | (699) ~ (all_0_41_41 = e1) % 33.64/9.50 | (2158) all_0_41_41 = e3 | all_0_41_41 = e0 % 33.64/9.50 | % 33.64/9.50 +-Applying beta-rule and splitting (2158), into two cases. % 33.64/9.50 |-Branch one: % 33.64/9.50 | (398) all_0_41_41 = e0 % 33.64/9.50 | % 33.64/9.50 | Equations (398) can reduce 326 to: % 33.64/9.50 | (303) $false % 33.64/9.50 | % 33.64/9.50 |-The branch is then unsatisfiable % 33.64/9.50 |-Branch two: % 33.64/9.50 | (326) ~ (all_0_41_41 = e0) % 33.64/9.50 | (431) all_0_41_41 = e3 % 33.64/9.50 | % 33.64/9.50 | Equations (431) can reduce 996 to: % 33.64/9.50 | (303) $false % 33.64/9.50 | % 33.64/9.50 |-The branch is then unsatisfiable % 33.64/9.50 |-Branch two: % 33.64/9.50 | (350) ~ (all_0_60_60 = e4) % 33.64/9.50 | (1906) all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 33.64/9.50 | % 33.64/9.50 +-Applying beta-rule and splitting (1906), into two cases. % 33.64/9.50 |-Branch one: % 33.64/9.50 | (604) all_0_60_60 = e1 % 33.64/9.50 | % 33.64/9.50 | Equations (604) can reduce 501 to: % 33.64/9.50 | (303) $false % 33.64/9.50 | % 33.64/9.50 |-The branch is then unsatisfiable % 33.64/9.50 |-Branch two: % 33.64/9.50 | (501) ~ (all_0_60_60 = e1) % 33.64/9.50 | (1933) all_0_60_60 = e3 | all_0_60_60 = e0 % 33.64/9.50 | % 33.64/9.50 +-Applying beta-rule and splitting (1933), into two cases. % 33.64/9.50 |-Branch one: % 33.64/9.50 | (1934) all_0_60_60 = e0 % 33.64/9.50 | % 33.64/9.50 | Equations (1934) can reduce 414 to: % 33.64/9.50 | (303) $false % 33.64/9.50 | % 33.64/9.50 |-The branch is then unsatisfiable % 33.64/9.50 |-Branch two: % 33.64/9.50 | (414) ~ (all_0_60_60 = e0) % 33.64/9.50 | (1937) all_0_60_60 = e3 % 33.64/9.50 | % 33.64/9.50 | Equations (1937) can reduce 316 to: % 33.64/9.50 | (303) $false % 33.64/9.50 | % 33.64/9.50 |-The branch is then unsatisfiable % 33.64/9.50 |-Branch two: % 33.64/9.50 | (915) ~ (all_0_44_44 = e2) % 33.64/9.50 | (916) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 33.64/9.50 | % 33.64/9.50 +-Applying beta-rule and splitting (157), into two cases. % 33.64/9.50 |-Branch one: % 33.64/9.51 | (917) all_0_40_40 = e2 % 33.64/9.51 | % 33.64/9.51 | Equations (917) can reduce 939 to: % 33.64/9.51 | (303) $false % 33.64/9.51 | % 33.64/9.51 |-The branch is then unsatisfiable % 33.64/9.51 |-Branch two: % 33.64/9.51 | (939) ~ (all_0_40_40 = e2) % 33.64/9.51 | (940) all_0_41_41 = e2 | all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 33.64/9.51 | % 33.64/9.51 +-Applying beta-rule and splitting (67), into two cases. % 33.64/9.51 |-Branch one: % 33.64/9.51 | (380) all_0_48_48 = e0 % 33.64/9.51 | % 33.64/9.51 | Equations (380) can reduce 292 to: % 33.64/9.51 | (303) $false % 33.64/9.51 | % 33.64/9.51 |-The branch is then unsatisfiable % 33.64/9.51 |-Branch two: % 33.64/9.51 | (292) ~ (all_0_48_48 = e0) % 33.64/9.51 | (383) all_0_49_49 = e0 | all_0_51_51 = e0 % 33.64/9.51 | % 33.64/9.51 +-Applying beta-rule and splitting (150), into two cases. % 33.64/9.51 |-Branch one: % 33.64/9.51 | (398) all_0_41_41 = e0 % 33.64/9.51 | % 33.64/9.51 | Equations (398) can reduce 326 to: % 33.64/9.51 | (303) $false % 33.64/9.51 | % 33.64/9.51 |-The branch is then unsatisfiable % 33.64/9.51 |-Branch two: % 33.64/9.51 | (326) ~ (all_0_41_41 = e0) % 33.64/9.51 | (401) all_0_49_49 = e0 | all_0_57_57 = e0 % 33.64/9.51 | % 33.64/9.51 +-Applying beta-rule and splitting (940), into two cases. % 33.64/9.51 |-Branch one: % 33.64/9.51 | (945) all_0_41_41 = e2 % 33.64/9.51 | % 33.64/9.51 | Equations (945) can reduce 369 to: % 33.64/9.51 | (303) $false % 33.64/9.51 | % 33.64/9.51 |-The branch is then unsatisfiable % 33.64/9.51 |-Branch two: % 33.64/9.51 | (369) ~ (all_0_41_41 = e2) % 33.64/9.51 | (949) all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 33.64/9.51 | % 33.64/9.51 +-Applying beta-rule and splitting (401), into two cases. % 33.64/9.51 |-Branch one: % 33.64/9.51 | (384) all_0_49_49 = e0 % 33.64/9.51 | % 33.64/9.51 | Combining equations (368,384) yields a new equation: % 33.64/9.51 | (403) e2 = e0 % 33.64/9.51 | % 33.64/9.51 | Simplifying 403 yields: % 33.64/9.51 | (385) e2 = e0 % 33.64/9.51 | % 33.64/9.51 | Equations (385) can reduce 51 to: % 33.64/9.51 | (303) $false % 33.64/9.51 | % 33.64/9.51 |-The branch is then unsatisfiable % 33.64/9.51 |-Branch two: % 33.64/9.51 | (387) ~ (all_0_49_49 = e0) % 33.64/9.51 | (407) all_0_57_57 = e0 % 33.64/9.51 | % 33.64/9.51 | Equations (407) can reduce 377 to: % 33.64/9.51 | (335) ~ (e2 = e0) % 33.64/9.51 | % 33.64/9.51 | Simplifying 335 yields: % 33.64/9.51 | (51) ~ (e2 = e0) % 33.64/9.51 | % 33.64/9.51 +-Applying beta-rule and splitting (87), into two cases. % 33.64/9.51 |-Branch one: % 33.64/9.51 | (572) all_0_44_44 = e2 % 33.64/9.51 | % 33.64/9.51 | Equations (572) can reduce 915 to: % 33.64/9.51 | (303) $false % 33.64/9.51 | % 33.64/9.51 |-The branch is then unsatisfiable % 33.64/9.51 |-Branch two: % 33.64/9.51 | (915) ~ (all_0_44_44 = e2) % 33.64/9.51 | (2069) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 33.64/9.51 | % 33.64/9.51 +-Applying beta-rule and splitting (383), into two cases. % 33.64/9.51 |-Branch one: % 33.64/9.51 | (384) all_0_49_49 = e0 % 33.64/9.51 | % 33.64/9.51 | Combining equations (368,384) yields a new equation: % 33.64/9.51 | (403) e2 = e0 % 33.64/9.51 | % 33.64/9.51 | Simplifying 403 yields: % 33.64/9.51 | (385) e2 = e0 % 33.64/9.51 | % 33.64/9.51 | Equations (385) can reduce 51 to: % 33.64/9.51 | (303) $false % 33.64/9.51 | % 33.64/9.51 |-The branch is then unsatisfiable % 33.64/9.51 |-Branch two: % 33.64/9.51 | (387) ~ (all_0_49_49 = e0) % 33.64/9.51 | (388) all_0_51_51 = e0 % 33.64/9.51 | % 33.64/9.51 | Equations (388) can reduce 373 to: % 33.64/9.51 | (335) ~ (e2 = e0) % 33.64/9.51 | % 33.64/9.51 | Simplifying 335 yields: % 33.64/9.51 | (51) ~ (e2 = e0) % 33.64/9.51 | % 33.64/9.51 +-Applying beta-rule and splitting (949), into two cases. % 33.64/9.51 |-Branch one: % 33.64/9.51 | (959) all_0_42_42 = e2 % 33.64/9.51 | % 33.64/9.51 | Combining equations (959,324) yields a new equation: % 33.64/9.51 | (403) e2 = e0 % 33.64/9.51 | % 33.64/9.51 | Simplifying 403 yields: % 33.64/9.51 | (385) e2 = e0 % 33.64/9.51 | % 33.64/9.51 | Equations (385) can reduce 51 to: % 33.64/9.51 | (303) $false % 33.64/9.51 | % 33.64/9.51 |-The branch is then unsatisfiable % 33.64/9.51 |-Branch two: % 33.64/9.51 | (272) ~ (all_0_42_42 = e2) % 33.64/9.51 | (964) all_0_43_43 = e2 | all_0_44_44 = e2 % 33.64/9.51 | % 33.64/9.51 +-Applying beta-rule and splitting (964), into two cases. % 33.64/9.51 |-Branch one: % 33.64/9.51 | (965) all_0_43_43 = e2 % 33.64/9.51 | % 33.64/9.51 | Equations (965) can reduce 253 to: % 33.64/9.51 | (303) $false % 33.64/9.51 | % 33.64/9.51 |-The branch is then unsatisfiable % 33.64/9.51 |-Branch two: % 33.64/9.51 | (253) ~ (all_0_43_43 = e2) % 33.64/9.51 | (572) all_0_44_44 = e2 % 33.64/9.51 | % 33.64/9.51 | Equations (572) can reduce 915 to: % 33.64/9.51 | (303) $false % 33.64/9.51 | % 33.64/9.51 |-The branch is then unsatisfiable % 33.64/9.51 |-Branch two: % 33.64/9.51 | (2167) ~ (all_0_49_49 = e2) % 33.64/9.51 | (2168) all_0_49_49 = e1 | all_0_49_49 = e0 % 33.64/9.51 | % 33.64/9.51 +-Applying beta-rule and splitting (104), into two cases. % 33.64/9.51 |-Branch one: % 33.64/9.51 | (945) all_0_41_41 = e2 % 33.64/9.51 | % 33.64/9.51 | Equations (945) can reduce 176 to: % 33.64/9.51 | (4230) ~ (all_0_44_44 = e2) % 33.64/9.51 | % 33.64/9.51 | Simplifying 4230 yields: % 33.64/9.51 | (915) ~ (all_0_44_44 = e2) % 33.64/9.51 | % 33.64/9.51 | Equations (945) can reduce 177 to: % 33.64/9.51 | (2170) ~ (all_0_49_49 = e2) % 33.64/9.51 | % 33.64/9.51 | Simplifying 2170 yields: % 33.64/9.51 | (2167) ~ (all_0_49_49 = e2) % 33.64/9.51 | % 33.64/9.51 | Equations (945) can reduce 11 to: % 33.64/9.51 | (376) ~ (all_0_57_57 = e2) % 33.64/9.51 | % 33.64/9.51 | Simplifying 376 yields: % 33.64/9.51 | (377) ~ (all_0_57_57 = e2) % 33.64/9.51 | % 33.64/9.51 | From (945) and (167) follows: % 33.64/9.51 | (2648) op(e4, e3) = e2 % 33.64/9.51 | % 33.64/9.51 +-Applying beta-rule and splitting (97), into two cases. % 33.64/9.51 |-Branch one: % 33.64/9.51 | (727) all_0_48_48 = e2 % 33.64/9.51 | % 33.64/9.51 | Equations (727) can reduce 544 to: % 33.64/9.51 | (303) $false % 33.64/9.51 | % 33.64/9.51 |-The branch is then unsatisfiable % 33.64/9.51 |-Branch two: % 33.64/9.51 | (544) ~ (all_0_48_48 = e2) % 33.64/9.51 | (2476) all_0_49_49 = e2 | all_0_50_50 = e2 | all_0_51_51 = e2 % 33.64/9.51 | % 33.64/9.51 +-Applying beta-rule and splitting (56), into two cases. % 33.64/9.51 |-Branch one: % 33.64/9.51 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 33.64/9.51 | % 33.64/9.51 +-Applying beta-rule and splitting (480), into two cases. % 33.64/9.51 |-Branch one: % 33.64/9.51 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 33.64/9.51 | % 33.64/9.51 +-Applying beta-rule and splitting (481), into two cases. % 33.64/9.51 |-Branch one: % 33.64/9.51 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 33.64/9.51 | % 33.64/9.51 +-Applying beta-rule and splitting (482), into two cases. % 33.64/9.51 |-Branch one: % 33.64/9.51 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 33.64/9.51 | % 33.64/9.51 | Applying alpha-rule on (483) yields: % 33.64/9.51 | (484) ~ (unit = e4) % 33.64/9.51 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 33.64/9.51 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 33.64/9.51 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 33.64/9.51 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 33.64/9.51 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 33.64/9.51 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 33.64/9.51 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 33.64/9.51 | (492) ~ (all_0_55_55 = e4) % 33.64/9.51 | (493) all_0_45_45 = e3 % 33.64/9.51 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 33.64/9.51 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 33.64/9.51 | % 33.64/9.51 | Combining equations (287,493) yields a new equation: % 33.64/9.51 | (497) e3 = e0 % 33.64/9.51 | % 33.64/9.51 | Equations (497) can reduce 70 to: % 33.64/9.51 | (303) $false % 33.64/9.51 | % 33.64/9.51 |-The branch is then unsatisfiable % 33.64/9.51 |-Branch two: % 33.64/9.51 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 33.64/9.51 | % 33.64/9.51 | Applying alpha-rule on (499) yields: % 33.64/9.51 | (500) ~ (all_0_51_51 = e1) % 33.64/9.51 | (501) ~ (all_0_60_60 = e1) % 33.64/9.51 | (502) ~ (all_0_52_52 = e1) % 33.64/9.51 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 33.64/9.51 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 33.64/9.51 | (252) all_0_46_46 = e2 % 33.64/9.51 | (506) ~ (all_0_49_49 = e1) % 33.64/9.51 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 33.64/9.51 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 33.64/9.51 | (509) ~ (all_0_53_53 = e1) % 33.64/9.51 | (510) ~ (unit = e1) % 33.64/9.51 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 33.64/9.51 | (512) ~ (all_0_44_44 = e1) % 33.64/9.51 | % 33.64/9.51 +-Applying beta-rule and splitting (87), into two cases. % 33.64/9.51 |-Branch one: % 33.64/9.51 | (572) all_0_44_44 = e2 % 33.64/9.51 | % 33.64/9.51 | Equations (572) can reduce 915 to: % 33.64/9.51 | (303) $false % 33.64/9.51 | % 33.64/9.51 |-The branch is then unsatisfiable % 33.64/9.51 |-Branch two: % 33.64/9.51 | (915) ~ (all_0_44_44 = e2) % 33.64/9.51 | (2069) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 33.64/9.51 | % 33.64/9.51 +-Applying beta-rule and splitting (2168), into two cases. % 33.64/9.51 |-Branch one: % 33.64/9.51 | (1580) all_0_49_49 = e1 % 33.64/9.51 | % 33.64/9.51 | Equations (1580) can reduce 506 to: % 33.64/9.51 | (303) $false % 33.64/9.51 | % 33.64/9.51 |-The branch is then unsatisfiable % 33.64/9.51 |-Branch two: % 33.64/9.51 | (506) ~ (all_0_49_49 = e1) % 33.64/9.51 | (384) all_0_49_49 = e0 % 33.64/9.51 | % 33.64/9.51 | Equations (384) can reduce 160 to: % 33.64/9.51 | (5945) ~ (all_0_51_51 = e0) % 33.64/9.51 | % 33.64/9.51 | Simplifying 5945 yields: % 33.64/9.51 | (2347) ~ (all_0_51_51 = e0) % 33.64/9.51 | % 33.64/9.51 | Equations (384) can reduce 226 to: % 33.64/9.51 | (2272) ~ (all_0_57_57 = e0) % 33.64/9.51 | % 33.64/9.51 | Simplifying 2272 yields: % 33.64/9.51 | (2273) ~ (all_0_57_57 = e0) % 33.64/9.51 | % 33.64/9.51 | Equations (384) can reduce 2167 to: % 33.64/9.51 | (335) ~ (e2 = e0) % 33.64/9.51 | % 33.64/9.51 | Simplifying 335 yields: % 33.64/9.51 | (51) ~ (e2 = e0) % 33.64/9.51 | % 33.64/9.51 +-Applying beta-rule and splitting (2069), into two cases. % 33.64/9.51 |-Branch one: % 33.64/9.51 | (1096) all_0_44_44 = e4 % 33.64/9.51 | % 33.64/9.51 | Equations (1096) can reduce 124 to: % 33.64/9.51 | (844) ~ (all_0_40_40 = e4) % 33.64/9.51 | % 33.64/9.51 | Equations (1096) can reduce 82 to: % 33.64/9.51 | (712) ~ (all_0_43_43 = e4) % 33.64/9.51 | % 33.64/9.51 | Equations (1096) can reduce 161 to: % 33.64/9.51 | (6435) ~ (all_0_51_51 = e4) % 33.64/9.51 | % 33.64/9.51 | Simplifying 6435 yields: % 33.64/9.51 | (1504) ~ (all_0_51_51 = e4) % 33.64/9.51 | % 33.64/9.51 +-Applying beta-rule and splitting (508), into two cases. % 33.64/9.51 |-Branch one: % 33.64/9.51 | (683) ~ (all_0_40_40 = e1) % 33.64/9.51 | % 33.64/9.51 +-Applying beta-rule and splitting (250), into two cases. % 33.64/9.51 |-Branch one: % 33.64/9.51 | (897) all_0_57_57 = e2 % 33.64/9.51 | % 33.64/9.51 | Equations (897) can reduce 377 to: % 33.64/9.51 | (303) $false % 33.64/9.51 | % 33.64/9.51 |-The branch is then unsatisfiable % 33.64/9.51 |-Branch two: % 33.64/9.51 | (377) ~ (all_0_57_57 = e2) % 33.64/9.51 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 33.64/9.51 | % 33.64/9.51 +-Applying beta-rule and splitting (2652), into two cases. % 33.64/9.51 |-Branch one: % 33.64/9.51 | (589) all_0_57_57 = e1 % 33.64/9.51 | % 33.64/9.51 | Equations (589) can reduce 172 to: % 33.64/9.51 | (587) ~ (all_0_56_56 = e1) % 33.64/9.51 | % 33.64/9.51 | Equations (589) can reduce 222 to: % 33.64/9.51 | (3274) ~ (all_0_59_59 = e1) % 33.64/9.51 | % 33.64/9.51 | Simplifying 3274 yields: % 33.64/9.51 | (603) ~ (all_0_59_59 = e1) % 33.64/9.51 | % 33.64/9.51 | Equations (589) can reduce 81 to: % 33.64/9.51 | (1050) ~ (all_0_60_60 = e1) % 33.64/9.51 | % 33.64/9.51 | Simplifying 1050 yields: % 33.64/9.51 | (501) ~ (all_0_60_60 = e1) % 33.64/9.51 | % 33.64/9.51 | Equations (589) can reduce 202 to: % 33.64/9.51 | (605) ~ (e4 = e1) % 33.64/9.51 | % 33.64/9.51 | Simplifying 605 yields: % 33.64/9.51 | (247) ~ (e4 = e1) % 33.64/9.51 | % 33.64/9.51 | Equations (589) can reduce 377 to: % 33.64/9.51 | (565) ~ (e2 = e1) % 33.64/9.51 | % 33.64/9.51 | Simplifying 565 yields: % 33.64/9.51 | (144) ~ (e2 = e1) % 33.64/9.51 | % 33.64/9.51 +-Applying beta-rule and splitting (175), into two cases. % 33.64/9.51 |-Branch one: % 33.64/9.51 | (624) all_0_40_40 = e1 % 33.64/9.51 | % 33.64/9.51 | Equations (624) can reduce 683 to: % 33.64/9.51 | (303) $false % 33.64/9.51 | % 33.64/9.51 |-The branch is then unsatisfiable % 33.64/9.51 |-Branch two: % 33.64/9.51 | (683) ~ (all_0_40_40 = e1) % 33.64/9.51 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 33.64/9.51 | % 33.64/9.51 +-Applying beta-rule and splitting (684), into two cases. % 33.64/9.51 |-Branch one: % 33.64/9.51 | (748) all_0_48_48 = e1 % 33.64/9.51 | % 33.64/9.51 | Equations (748) can reduce 53 to: % 33.64/9.51 | (683) ~ (all_0_40_40 = e1) % 33.64/9.51 | % 33.64/9.51 | Equations (748) can reduce 48 to: % 33.64/9.51 | (855) ~ (all_0_50_50 = e1) % 33.64/9.51 | % 33.64/9.51 | Simplifying 855 yields: % 33.64/9.51 | (678) ~ (all_0_50_50 = e1) % 33.64/9.51 | % 33.64/9.51 | Equations (748) can reduce 2 to: % 33.64/9.51 | (1799) ~ (all_0_56_56 = e1) % 33.64/9.51 | % 33.64/9.51 | Simplifying 1799 yields: % 33.64/9.51 | (587) ~ (all_0_56_56 = e1) % 33.64/9.51 | % 33.64/9.51 +-Applying beta-rule and splitting (503), into two cases. % 33.64/9.51 |-Branch one: % 33.64/9.51 | (592) ~ (all_0_57_57 = e1) % 33.64/9.51 | % 33.64/9.51 | Equations (589) can reduce 592 to: % 33.64/9.51 | (303) $false % 33.64/9.51 | % 33.64/9.51 |-The branch is then unsatisfiable % 33.64/9.51 |-Branch two: % 33.64/9.51 | (589) all_0_57_57 = e1 % 33.64/9.51 | (456) all_0_59_59 = e3 % 33.64/9.51 | % 33.64/9.51 | Equations (456) can reduce 126 to: % 33.64/9.51 | (15) ~ (all_0_50_50 = e3) % 33.64/9.51 | % 33.64/9.51 | Equations (456) can reduce 42 to: % 33.64/9.51 | (526) ~ (all_0_56_56 = e3) % 33.80/9.51 | % 33.80/9.51 | Equations (456) can reduce 164 to: % 33.80/9.51 | (315) ~ (all_0_60_60 = e3) % 33.80/9.51 | % 33.80/9.51 | Simplifying 315 yields: % 33.80/9.51 | (316) ~ (all_0_60_60 = e3) % 33.80/9.51 | % 33.80/9.51 | Equations (456) can reduce 603 to: % 33.80/9.51 | (136) ~ (e3 = e1) % 33.80/9.51 | % 33.80/9.51 | Equations (456) can reduce 216 to: % 33.80/9.51 | (70) ~ (e3 = e0) % 33.80/9.51 | % 33.80/9.51 | From (456) and (90) follows: % 33.80/9.51 | (461) op(e0, e1) = e3 % 33.80/9.51 | % 33.80/9.51 +-Applying beta-rule and splitting (196), into two cases. % 33.80/9.51 |-Branch one: % 33.80/9.51 | (723) all_0_40_40 = e4 % 33.80/9.51 | % 33.80/9.51 | Equations (723) can reduce 844 to: % 33.80/9.51 | (303) $false % 33.80/9.51 | % 33.80/9.51 |-The branch is then unsatisfiable % 33.80/9.51 |-Branch two: % 33.80/9.51 | (844) ~ (all_0_40_40 = e4) % 33.80/9.51 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 33.80/9.51 | % 33.80/9.51 +-Applying beta-rule and splitting (234), into two cases. % 33.80/9.51 |-Branch one: % 33.80/9.51 | (609) all_0_48_48 = e4 % 33.80/9.51 | % 33.80/9.51 | Combining equations (748,609) yields a new equation: % 33.80/9.51 | (541) e4 = e1 % 33.80/9.51 | % 33.80/9.51 | Equations (541) can reduce 247 to: % 33.80/9.51 | (303) $false % 33.80/9.51 | % 33.80/9.51 |-The branch is then unsatisfiable % 33.80/9.51 |-Branch two: % 33.80/9.51 | (721) ~ (all_0_48_48 = e4) % 33.80/9.51 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 33.80/9.51 | % 33.80/9.51 +-Applying beta-rule and splitting (145), into two cases. % 33.80/9.51 |-Branch one: % 33.80/9.51 | (1102) all_0_40_40 = e3 % 33.80/9.51 | % 33.80/9.52 | Equations (1102) can reduce 8 to: % 33.80/9.52 | (433) ~ (all_0_43_43 = e3) % 33.80/9.52 | % 33.80/9.52 | Simplifying 433 yields: % 33.80/9.52 | (434) ~ (all_0_43_43 = e3) % 33.80/9.52 | % 33.80/9.52 | Equations (1102) can reduce 57 to: % 33.80/9.52 | (2285) ~ (all_0_56_56 = e3) % 33.80/9.52 | % 33.80/9.52 | Simplifying 2285 yields: % 33.80/9.52 | (526) ~ (all_0_56_56 = e3) % 33.80/9.52 | % 33.80/9.52 | Equations (1102) can reduce 683 to: % 33.80/9.52 | (136) ~ (e3 = e1) % 33.80/9.52 | % 33.80/9.52 | From (1102) and (168) follows: % 33.80/9.52 | (1730) op(e4, e4) = e3 % 33.80/9.52 | % 33.80/9.52 +-Applying beta-rule and splitting (243), into two cases. % 33.80/9.52 |-Branch one: % 33.80/9.52 | (877) all_0_56_56 = e4 % 33.80/9.52 | % 33.80/9.52 | Equations (877) can reduce 526 to: % 33.80/9.52 | (30) ~ (e4 = e3) % 33.80/9.52 | % 33.80/9.52 | Equations (877) can reduce 296 to: % 33.80/9.52 | (4) ~ (e4 = e0) % 33.80/9.52 | % 33.80/9.52 | From (877) and (132) follows: % 33.80/9.52 | (1195) op(e0, e4) = e4 % 33.80/9.52 | % 33.80/9.52 +-Applying beta-rule and splitting (84), into two cases. % 33.80/9.52 |-Branch one: % 33.80/9.52 | (2078) all_0_44_44 = e0 % 33.80/9.52 | % 33.80/9.52 | Combining equations (2078,1096) yields a new equation: % 33.80/9.52 | (654) e4 = e0 % 33.80/9.52 | % 33.80/9.52 | Equations (654) can reduce 4 to: % 33.80/9.52 | (303) $false % 33.80/9.52 | % 33.80/9.52 |-The branch is then unsatisfiable % 33.80/9.52 |-Branch two: % 33.80/9.52 | (330) ~ (all_0_44_44 = e0) % 33.80/9.52 | (2270) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_60_60 = e0 % 33.80/9.52 | % 33.80/9.52 | Equations (1096) can reduce 330 to: % 33.80/9.52 | (4) ~ (e4 = e0) % 33.80/9.52 | % 33.80/9.52 +-Applying beta-rule and splitting (44), into two cases. % 33.80/9.52 |-Branch one: % 33.80/9.52 | (624) all_0_40_40 = e1 % 33.80/9.52 | % 33.80/9.52 | Combining equations (624,1102) yields a new equation: % 33.80/9.52 | (601) e3 = e1 % 33.80/9.52 | % 33.80/9.52 | Equations (601) can reduce 136 to: % 33.80/9.52 | (303) $false % 33.80/9.52 | % 33.80/9.52 |-The branch is then unsatisfiable % 33.80/9.52 |-Branch two: % 33.80/9.52 | (683) ~ (all_0_40_40 = e1) % 33.80/9.52 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 33.80/9.52 | % 33.80/9.52 | Equations (1102) can reduce 683 to: % 33.80/9.52 | (136) ~ (e3 = e1) % 33.80/9.52 | % 33.80/9.52 +-Applying beta-rule and splitting (50), into two cases. % 33.80/9.52 |-Branch one: % 33.80/9.52 | (2307) all_0_56_56 = e0 % 33.80/9.52 | % 33.80/9.52 | Combining equations (877,2307) yields a new equation: % 33.80/9.52 | (1573) e4 = e0 % 33.80/9.52 | % 33.80/9.52 | Simplifying 1573 yields: % 33.80/9.52 | (654) e4 = e0 % 33.80/9.52 | % 33.80/9.52 | Equations (654) can reduce 4 to: % 33.80/9.52 | (303) $false % 33.80/9.52 | % 33.80/9.52 |-The branch is then unsatisfiable % 33.80/9.52 |-Branch two: % 33.80/9.52 | (296) ~ (all_0_56_56 = e0) % 33.80/9.52 | (2310) all_0_57_57 = e0 | all_0_58_58 = e0 | all_0_60_60 = e0 % 33.80/9.52 | % 33.80/9.52 +-Applying beta-rule and splitting (100), into two cases. % 33.80/9.52 |-Branch one: % 33.80/9.52 | (618) all_0_43_43 = e1 % 33.80/9.52 | % 33.80/9.52 | Equations (618) can reduce 712 to: % 33.80/9.52 | (605) ~ (e4 = e1) % 33.80/9.52 | % 33.80/9.52 | Simplifying 605 yields: % 33.80/9.52 | (247) ~ (e4 = e1) % 33.80/9.52 | % 33.80/9.52 | Equations (618) can reduce 434 to: % 33.80/9.52 | (465) ~ (e3 = e1) % 33.80/9.52 | % 33.80/9.52 | Simplifying 465 yields: % 33.80/9.52 | (136) ~ (e3 = e1) % 33.80/9.52 | % 33.80/9.52 | Equations (618) can reduce 117 to: % 33.80/9.52 | (134) ~ (e1 = e0) % 33.80/9.52 | % 33.80/9.52 +-Applying beta-rule and splitting (139), into two cases. % 33.80/9.52 |-Branch one: % 33.80/9.52 | (614) all_0_43_43 = e4 % 33.80/9.52 | % 33.80/9.52 | Combining equations (614,618) yields a new equation: % 33.80/9.52 | (540) e4 = e1 % 33.80/9.52 | % 33.80/9.52 | Simplifying 540 yields: % 33.80/9.52 | (541) e4 = e1 % 33.80/9.52 | % 33.80/9.52 | Equations (541) can reduce 247 to: % 33.80/9.52 | (303) $false % 33.80/9.52 | % 33.80/9.52 |-The branch is then unsatisfiable % 33.80/9.52 |-Branch two: % 33.80/9.52 | (712) ~ (all_0_43_43 = e4) % 33.80/9.52 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 33.80/9.52 | % 33.80/9.52 +-Applying beta-rule and splitting (166), into two cases. % 33.80/9.52 |-Branch one: % 33.80/9.52 | (927) all_0_51_51 = e2 % 33.80/9.52 | % 33.80/9.52 | Equations (927) can reduce 2347 to: % 33.80/9.52 | (51) ~ (e2 = e0) % 33.80/9.52 | % 33.80/9.52 +-Applying beta-rule and splitting (2310), into two cases. % 33.80/9.52 |-Branch one: % 33.80/9.52 | (407) all_0_57_57 = e0 % 33.80/9.52 | % 33.80/9.52 | Combining equations (407,589) yields a new equation: % 33.80/9.52 | (590) e1 = e0 % 33.80/9.52 | % 33.80/9.52 | Equations (590) can reduce 134 to: % 33.80/9.52 | (303) $false % 33.80/9.52 | % 33.80/9.52 |-The branch is then unsatisfiable % 33.80/9.52 |-Branch two: % 33.80/9.52 | (2273) ~ (all_0_57_57 = e0) % 33.80/9.52 | (2314) all_0_58_58 = e0 | all_0_60_60 = e0 % 33.80/9.52 | % 33.80/9.52 +-Applying beta-rule and splitting (2314), into two cases. % 33.80/9.52 |-Branch one: % 33.80/9.52 | (989) all_0_58_58 = e0 % 33.80/9.52 | % 33.80/9.52 | Combining equations (340,989) yields a new equation: % 33.80/9.52 | (403) e2 = e0 % 33.80/9.52 | % 33.80/9.52 | Simplifying 403 yields: % 33.80/9.52 | (385) e2 = e0 % 33.80/9.52 | % 33.80/9.52 | Equations (385) can reduce 51 to: % 33.80/9.52 | (303) $false % 33.80/9.52 | % 33.80/9.52 |-The branch is then unsatisfiable % 33.80/9.52 |-Branch two: % 33.80/9.52 | (332) ~ (all_0_58_58 = e0) % 33.80/9.52 | (1934) all_0_60_60 = e0 % 33.80/9.52 | % 33.80/9.52 | Equations (1934) can reduce 501 to: % 33.80/9.52 | (661) ~ (e1 = e0) % 33.80/9.52 | % 33.80/9.52 | Simplifying 661 yields: % 33.80/9.52 | (134) ~ (e1 = e0) % 33.80/9.52 | % 33.80/9.52 +-Applying beta-rule and splitting (62), into two cases. % 33.80/9.52 |-Branch one: % 33.80/9.52 | (631) unit = e2 % 33.80/9.52 | % 33.80/9.52 | From (631) and (98) follows: % 33.80/9.52 | (5015) op(e3, e2) = e3 % 33.80/9.52 | % 33.80/9.52 | From (631) and (74) follows: % 33.80/9.52 | (2715) op(e2, e2) = e2 % 33.80/9.52 | % 33.80/9.52 | From (631) and (111) follows: % 33.80/9.52 | (1167) op(e0, e2) = e0 % 33.80/9.52 | % 33.80/9.52 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 33.80/9.52 | (601) e3 = e1 % 33.80/9.52 | % 33.80/9.52 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 33.80/9.52 | (453) e3 = e2 % 33.80/9.52 | % 33.80/9.52 | Instantiating formula (29) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 33.80/9.52 | (385) e2 = e0 % 33.80/9.52 | % 33.80/9.52 | Combining equations (453,601) yields a new equation: % 33.80/9.52 | (584) e2 = e1 % 33.80/9.52 | % 33.80/9.52 | Simplifying 584 yields: % 33.80/9.52 | (585) e2 = e1 % 33.80/9.52 | % 33.80/9.52 | Combining equations (585,385) yields a new equation: % 33.80/9.52 | (670) e1 = e0 % 33.80/9.52 | % 33.80/9.52 | Simplifying 670 yields: % 33.80/9.52 | (590) e1 = e0 % 33.80/9.52 | % 33.80/9.52 | Equations (590) can reduce 134 to: % 33.80/9.52 | (303) $false % 33.80/9.52 | % 33.80/9.52 |-The branch is then unsatisfiable % 33.80/9.52 |-Branch two: % 33.80/9.52 | (599) ~ (unit = e2) % 33.80/9.52 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 33.80/9.52 | % 33.80/9.52 +-Applying beta-rule and splitting (634), into two cases. % 33.80/9.52 |-Branch one: % 33.80/9.52 | (635) unit = e4 % 33.80/9.52 | % 33.80/9.52 | From (635) and (232) follows: % 33.80/9.52 | (1844) op(e4, e3) = e3 % 33.80/9.52 | % 33.80/9.52 | From (635) and (130) follows: % 33.80/9.52 | (1177) op(e4, e4) = e4 % 33.80/9.52 | % 33.80/9.52 | From (635) and (190) follows: % 33.80/9.52 | (1178) op(e1, e4) = e1 % 33.80/9.52 | % 33.80/9.52 | From (635) and (111) follows: % 33.80/9.52 | (638) op(e0, e4) = e0 % 33.80/9.52 | % 33.80/9.52 | Instantiating formula (29) with e4, e4, e4, e3 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e3, yields: % 33.80/9.52 | (443) e4 = e3 % 33.80/9.52 | % 33.80/9.52 | Instantiating formula (29) with e4, e3, e3, e2 and discharging atoms op(e4, e3) = e3, op(e4, e3) = e2, yields: % 33.80/9.52 | (453) e3 = e2 % 33.80/9.52 | % 33.80/9.52 | Instantiating formula (29) with e1, e4, e1, e2 and discharging atoms op(e1, e4) = e2, op(e1, e4) = e1, yields: % 33.80/9.52 | (585) e2 = e1 % 33.80/9.52 | % 33.80/9.52 | Instantiating formula (29) with e0, e4, e0, e4 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e0, yields: % 33.80/9.52 | (654) e4 = e0 % 33.80/9.52 | % 33.80/9.52 | Combining equations (654,443) yields a new equation: % 33.80/9.52 | (497) e3 = e0 % 33.80/9.52 | % 33.80/9.52 | Combining equations (497,453) yields a new equation: % 33.80/9.52 | (385) e2 = e0 % 33.80/9.52 | % 33.80/9.52 | Combining equations (585,385) yields a new equation: % 33.80/9.52 | (670) e1 = e0 % 33.80/9.52 | % 33.80/9.52 | Simplifying 670 yields: % 33.80/9.52 | (590) e1 = e0 % 33.80/9.52 | % 33.80/9.52 | Equations (590) can reduce 134 to: % 33.80/9.52 | (303) $false % 33.80/9.52 | % 33.80/9.52 |-The branch is then unsatisfiable % 33.80/9.52 |-Branch two: % 33.80/9.52 | (484) ~ (unit = e4) % 33.80/9.52 | (647) unit = e3 | unit = e1 | unit = e0 % 33.80/9.52 | % 33.80/9.52 +-Applying beta-rule and splitting (647), into two cases. % 33.80/9.52 |-Branch one: % 33.80/9.52 | (648) unit = e1 % 33.80/9.52 | % 33.80/9.52 | Equations (648) can reduce 510 to: % 33.80/9.52 | (303) $false % 33.80/9.52 | % 33.80/9.52 |-The branch is then unsatisfiable % 33.80/9.52 |-Branch two: % 33.80/9.52 | (510) ~ (unit = e1) % 33.80/9.52 | (659) unit = e3 | unit = e0 % 33.80/9.52 | % 33.80/9.52 +-Applying beta-rule and splitting (659), into two cases. % 33.80/9.52 |-Branch one: % 33.80/9.52 | (660) unit = e0 % 33.80/9.52 | % 33.80/9.52 | From (660) and (38) follows: % 33.80/9.52 | (2749) op(e0, e1) = e1 % 33.80/9.52 | % 33.80/9.52 | Instantiating formula (29) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields: % 33.80/9.52 | (601) e3 = e1 % 33.80/9.52 | % 33.80/9.52 | Equations (601) can reduce 136 to: % 33.80/9.52 | (303) $false % 33.80/9.52 | % 33.80/9.52 |-The branch is then unsatisfiable % 33.80/9.52 |-Branch two: % 33.80/9.52 | (537) ~ (unit = e0) % 33.80/9.52 | (674) unit = e3 % 33.80/9.52 | % 33.80/9.52 | From (674) and (17) follows: % 33.80/9.52 | (1207) op(e3, e4) = e4 % 33.80/9.52 | % 33.80/9.52 | From (674) and (38) follows: % 33.80/9.52 | (675) op(e3, e1) = e1 % 33.80/9.52 | % 33.80/9.52 | From (674) and (130) follows: % 33.80/9.52 | (2756) op(e4, e3) = e4 % 33.80/9.52 | % 33.80/9.52 | From (674) and (98) follows: % 33.80/9.52 | (1208) op(e3, e3) = e3 % 33.80/9.52 | % 33.80/9.52 | Instantiating formula (29) with e4, e3, e4, e2 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e2, yields: % 33.80/9.52 | (470) e4 = e2 % 33.80/9.52 | % 33.80/9.52 | Instantiating formula (29) with e3, e4, e4, e0 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e0, yields: % 33.80/9.52 | (654) e4 = e0 % 33.80/9.52 | % 33.80/9.52 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 33.80/9.52 | (443) e4 = e3 % 33.80/9.52 | % 33.80/9.52 | Instantiating formula (29) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 33.80/9.52 | (585) e2 = e1 % 33.80/9.52 | % 33.80/9.52 | Combining equations (654,443) yields a new equation: % 33.80/9.52 | (497) e3 = e0 % 33.80/9.52 | % 33.80/9.52 | Combining equations (470,443) yields a new equation: % 33.80/9.52 | (453) e3 = e2 % 33.80/9.52 | % 33.80/9.52 | Combining equations (453,497) yields a new equation: % 33.80/9.52 | (403) e2 = e0 % 33.80/9.52 | % 33.80/9.52 | Simplifying 403 yields: % 33.80/9.52 | (385) e2 = e0 % 33.80/9.52 | % 33.80/9.52 | Combining equations (385,585) yields a new equation: % 33.80/9.52 | (590) e1 = e0 % 33.80/9.52 | % 33.80/9.52 | Equations (590) can reduce 134 to: % 33.80/9.52 | (303) $false % 33.80/9.52 | % 33.80/9.52 |-The branch is then unsatisfiable % 33.80/9.52 |-Branch two: % 33.80/9.52 | (373) ~ (all_0_51_51 = e2) % 33.80/9.52 | (6448) all_0_51_51 = e4 | all_0_51_51 = e1 | all_0_51_51 = e0 % 33.80/9.52 | % 33.80/9.52 +-Applying beta-rule and splitting (713), into two cases. % 33.80/9.52 |-Branch one: % 33.80/9.52 | (714) all_0_50_50 = e4 % 33.80/9.52 | % 33.80/9.52 | Equations (714) can reduce 258 to: % 33.80/9.52 | (231) ~ (e4 = e2) % 33.80/9.52 | % 33.80/9.52 +-Applying beta-rule and splitting (2476), into two cases. % 33.80/9.52 |-Branch one: % 33.80/9.52 | (368) all_0_49_49 = e2 % 33.80/9.52 | % 33.80/9.52 | Combining equations (384,368) yields a new equation: % 33.80/9.52 | (385) e2 = e0 % 33.80/9.52 | % 33.80/9.52 | Equations (385) can reduce 51 to: % 33.80/9.52 | (303) $false % 33.80/9.52 | % 33.80/9.52 |-The branch is then unsatisfiable % 33.80/9.52 |-Branch two: % 33.80/9.52 | (2167) ~ (all_0_49_49 = e2) % 33.80/9.52 | (2480) all_0_50_50 = e2 | all_0_51_51 = e2 % 33.80/9.52 | % 33.80/9.52 +-Applying beta-rule and splitting (2480), into two cases. % 33.80/9.52 |-Branch one: % 33.80/9.52 | (364) all_0_50_50 = e2 % 33.80/9.52 | % 33.80/9.52 | Combining equations (714,364) yields a new equation: % 33.80/9.52 | (878) e4 = e2 % 33.80/9.52 | % 33.80/9.52 | Simplifying 878 yields: % 33.80/9.52 | (470) e4 = e2 % 33.80/9.52 | % 33.80/9.52 | Equations (470) can reduce 231 to: % 33.80/9.52 | (303) $false % 33.80/9.52 | % 33.80/9.52 |-The branch is then unsatisfiable % 33.80/9.52 |-Branch two: % 33.80/9.52 | (258) ~ (all_0_50_50 = e2) % 33.80/9.52 | (927) all_0_51_51 = e2 % 33.80/9.52 | % 33.80/9.52 | Equations (927) can reduce 373 to: % 33.80/9.52 | (303) $false % 33.80/9.52 | % 33.80/9.52 |-The branch is then unsatisfiable % 33.80/9.52 |-Branch two: % 33.80/9.52 | (611) ~ (all_0_50_50 = e4) % 33.80/9.52 | (717) all_0_59_59 = e4 % 33.80/9.52 | % 33.80/9.52 | Combining equations (717,456) yields a new equation: % 33.80/9.52 | (718) e4 = e3 % 33.80/9.52 | % 33.80/9.52 | Simplifying 718 yields: % 33.80/9.52 | (443) e4 = e3 % 33.80/9.52 | % 33.80/9.52 | Equations (443) can reduce 30 to: % 33.80/9.52 | (303) $false % 33.80/9.52 | % 33.80/9.52 |-The branch is then unsatisfiable % 33.80/9.52 |-Branch two: % 33.80/9.52 | (622) ~ (all_0_43_43 = e1) % 33.80/9.52 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 33.80/9.52 | % 33.80/9.52 +-Applying beta-rule and splitting (367), into two cases. % 33.80/9.52 |-Branch one: % 33.80/9.52 | (714) all_0_50_50 = e4 % 33.80/9.52 | % 33.80/9.52 | Equations (714) can reduce 678 to: % 33.80/9.52 | (247) ~ (e4 = e1) % 33.80/9.52 | % 33.80/9.52 +-Applying beta-rule and splitting (623), into two cases. % 33.80/9.52 |-Branch one: % 33.80/9.52 | (627) all_0_50_50 = e1 % 33.80/9.52 | % 33.80/9.52 | Combining equations (714,627) yields a new equation: % 33.80/9.52 | (540) e4 = e1 % 33.80/9.52 | % 33.80/9.52 | Simplifying 540 yields: % 33.80/9.52 | (541) e4 = e1 % 33.80/9.52 | % 33.80/9.52 | Equations (541) can reduce 247 to: % 33.80/9.52 | (303) $false % 33.80/9.52 | % 33.80/9.52 |-The branch is then unsatisfiable % 33.80/9.52 |-Branch two: % 33.80/9.52 | (678) ~ (all_0_50_50 = e1) % 33.80/9.52 | (600) all_0_59_59 = e1 % 33.80/9.52 | % 33.80/9.52 | Combining equations (600,456) yields a new equation: % 33.80/9.52 | (601) e3 = e1 % 33.80/9.52 | % 33.80/9.52 | Equations (601) can reduce 136 to: % 33.80/9.52 | (303) $false % 33.80/9.52 | % 33.80/9.52 |-The branch is then unsatisfiable % 33.80/9.52 |-Branch two: % 33.80/9.52 | (611) ~ (all_0_50_50 = e4) % 33.80/9.52 | (627) all_0_50_50 = e1 % 33.80/9.52 | % 33.80/9.52 | Equations (627) can reduce 678 to: % 33.80/9.52 | (303) $false % 33.80/9.52 | % 33.80/9.52 |-The branch is then unsatisfiable % 33.80/9.52 |-Branch two: % 33.80/9.52 | (345) ~ (all_0_56_56 = e4) % 33.80/9.52 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 33.80/9.52 | % 33.80/9.52 +-Applying beta-rule and splitting (100), into two cases. % 33.80/9.52 |-Branch one: % 33.80/9.52 | (618) all_0_43_43 = e1 % 33.80/9.52 | % 33.80/9.52 | Equations (618) can reduce 238 to: % 33.80/9.52 | (855) ~ (all_0_50_50 = e1) % 33.80/9.52 | % 33.80/9.52 | Simplifying 855 yields: % 33.80/9.52 | (678) ~ (all_0_50_50 = e1) % 33.80/9.52 | % 33.80/9.52 +-Applying beta-rule and splitting (166), into two cases. % 33.80/9.52 |-Branch one: % 33.80/9.52 | (927) all_0_51_51 = e2 % 33.80/9.52 | % 33.80/9.52 | Equations (927) can reduce 171 to: % 33.80/9.52 | (258) ~ (all_0_50_50 = e2) % 33.80/9.52 | % 33.80/9.52 +-Applying beta-rule and splitting (504), into two cases. % 33.80/9.52 |-Branch one: % 33.80/9.52 | (802) ~ (all_0_48_48 = e1) % 33.80/9.52 | % 33.80/9.52 | Equations (748) can reduce 802 to: % 33.80/9.52 | (303) $false % 33.80/9.52 | % 33.80/9.52 |-The branch is then unsatisfiable % 33.80/9.52 |-Branch two: % 33.80/9.52 | (748) all_0_48_48 = e1 % 33.80/9.52 | (714) all_0_50_50 = e4 % 33.80/9.52 | % 33.80/9.52 | Equations (714) can reduce 258 to: % 33.80/9.52 | (231) ~ (e4 = e2) % 33.80/9.52 | % 33.80/9.52 | Equations (714) can reduce 678 to: % 33.80/9.52 | (247) ~ (e4 = e1) % 33.80/9.52 | % 33.80/9.52 +-Applying beta-rule and splitting (141), into two cases. % 33.80/9.52 |-Branch one: % 33.80/9.52 | (580) all_0_56_56 = e2 % 33.80/9.52 | % 33.80/9.52 | Equations (580) can reduce 594 to: % 33.80/9.52 | (303) $false % 33.80/9.52 | % 33.80/9.52 |-The branch is then unsatisfiable % 33.80/9.52 |-Branch two: % 33.80/9.52 | (594) ~ (all_0_56_56 = e2) % 33.80/9.52 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 33.80/9.52 | % 33.80/9.52 +-Applying beta-rule and splitting (845), into two cases. % 33.80/9.52 |-Branch one: % 33.80/9.52 | (609) all_0_48_48 = e4 % 33.80/9.52 | % 33.80/9.52 | Combining equations (609,748) yields a new equation: % 33.80/9.52 | (540) e4 = e1 % 33.80/9.52 | % 33.80/9.52 | Simplifying 540 yields: % 33.80/9.52 | (541) e4 = e1 % 33.80/9.52 | % 33.80/9.52 | Equations (541) can reduce 247 to: % 33.80/9.52 | (303) $false % 33.80/9.52 | % 33.80/9.52 |-The branch is then unsatisfiable % 33.80/9.52 |-Branch two: % 33.80/9.52 | (721) ~ (all_0_48_48 = e4) % 33.80/9.52 | (871) all_0_52_52 = e4 | all_0_56_56 = e4 % 33.80/9.52 | % 33.80/9.53 +-Applying beta-rule and splitting (979), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (877) all_0_56_56 = e4 % 33.80/9.53 | % 33.80/9.53 | Equations (877) can reduce 345 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (345) ~ (all_0_56_56 = e4) % 33.80/9.53 | (2325) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (4489), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (344) all_0_58_58 = e4 % 33.80/9.53 | % 33.80/9.53 | Combining equations (340,344) yields a new equation: % 33.80/9.53 | (470) e4 = e2 % 33.80/9.53 | % 33.80/9.53 | Equations (470) can reduce 231 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (3161) ~ (all_0_58_58 = e4) % 33.80/9.53 | (4996) all_0_59_59 = e4 | all_0_60_60 = e4 % 33.80/9.53 | % 33.80/9.53 | Equations (340) can reduce 3161 to: % 33.80/9.53 | (261) ~ (e4 = e2) % 33.80/9.53 | % 33.80/9.53 | Simplifying 261 yields: % 33.80/9.53 | (231) ~ (e4 = e2) % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (871), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (442) all_0_52_52 = e4 % 33.80/9.53 | % 33.80/9.53 | Combining equations (980,442) yields a new equation: % 33.80/9.53 | (470) e4 = e2 % 33.80/9.53 | % 33.80/9.53 | Equations (470) can reduce 231 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (445) ~ (all_0_52_52 = e4) % 33.80/9.53 | (877) all_0_56_56 = e4 % 33.80/9.53 | % 33.80/9.53 | Equations (877) can reduce 345 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (373) ~ (all_0_51_51 = e2) % 33.80/9.53 | (6448) all_0_51_51 = e4 | all_0_51_51 = e1 | all_0_51_51 = e0 % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (367), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (714) all_0_50_50 = e4 % 33.80/9.53 | % 33.80/9.53 | Equations (714) can reduce 258 to: % 33.80/9.53 | (231) ~ (e4 = e2) % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (112), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (572) all_0_44_44 = e2 % 33.80/9.53 | % 33.80/9.53 | Combining equations (1096,572) yields a new equation: % 33.80/9.53 | (878) e4 = e2 % 33.80/9.53 | % 33.80/9.53 | Simplifying 878 yields: % 33.80/9.53 | (470) e4 = e2 % 33.80/9.53 | % 33.80/9.53 | Equations (470) can reduce 231 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (915) ~ (all_0_44_44 = e2) % 33.80/9.53 | (916) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 33.80/9.53 | % 33.80/9.53 | Equations (1096) can reduce 915 to: % 33.80/9.53 | (231) ~ (e4 = e2) % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (4489), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (344) all_0_58_58 = e4 % 33.80/9.53 | % 33.80/9.53 | Combining equations (344,340) yields a new equation: % 33.80/9.53 | (878) e4 = e2 % 33.80/9.53 | % 33.80/9.53 | Simplifying 878 yields: % 33.80/9.53 | (470) e4 = e2 % 33.80/9.53 | % 33.80/9.53 | Equations (470) can reduce 231 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (3161) ~ (all_0_58_58 = e4) % 33.80/9.53 | (4996) all_0_59_59 = e4 | all_0_60_60 = e4 % 33.80/9.53 | % 33.80/9.53 | Equations (340) can reduce 3161 to: % 33.80/9.53 | (261) ~ (e4 = e2) % 33.80/9.53 | % 33.80/9.53 | Simplifying 261 yields: % 33.80/9.53 | (231) ~ (e4 = e2) % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (2476), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (368) all_0_49_49 = e2 % 33.80/9.53 | % 33.80/9.53 | Combining equations (384,368) yields a new equation: % 33.80/9.53 | (385) e2 = e0 % 33.80/9.53 | % 33.80/9.53 | Equations (385) can reduce 51 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (2167) ~ (all_0_49_49 = e2) % 33.80/9.53 | (2480) all_0_50_50 = e2 | all_0_51_51 = e2 % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (2480), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (364) all_0_50_50 = e2 % 33.80/9.53 | % 33.80/9.53 | Combining equations (714,364) yields a new equation: % 33.80/9.53 | (878) e4 = e2 % 33.80/9.53 | % 33.80/9.53 | Simplifying 878 yields: % 33.80/9.53 | (470) e4 = e2 % 33.80/9.53 | % 33.80/9.53 | Equations (470) can reduce 231 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (258) ~ (all_0_50_50 = e2) % 33.80/9.53 | (927) all_0_51_51 = e2 % 33.80/9.53 | % 33.80/9.53 | Equations (927) can reduce 373 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (611) ~ (all_0_50_50 = e4) % 33.80/9.53 | (627) all_0_50_50 = e1 % 33.80/9.53 | % 33.80/9.53 | Equations (627) can reduce 678 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (622) ~ (all_0_43_43 = e1) % 33.80/9.53 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (44), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (624) all_0_40_40 = e1 % 33.80/9.53 | % 33.80/9.53 | Combining equations (624,1102) yields a new equation: % 33.80/9.53 | (601) e3 = e1 % 33.80/9.53 | % 33.80/9.53 | Equations (601) can reduce 136 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (683) ~ (all_0_40_40 = e1) % 33.80/9.53 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 33.80/9.53 | % 33.80/9.53 | Equations (1102) can reduce 683 to: % 33.80/9.53 | (136) ~ (e3 = e1) % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (504), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (802) ~ (all_0_48_48 = e1) % 33.80/9.53 | % 33.80/9.53 | Equations (748) can reduce 802 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (748) all_0_48_48 = e1 % 33.80/9.53 | (714) all_0_50_50 = e4 % 33.80/9.53 | % 33.80/9.53 | Equations (714) can reduce 678 to: % 33.80/9.53 | (247) ~ (e4 = e1) % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (623), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (627) all_0_50_50 = e1 % 33.80/9.53 | % 33.80/9.53 | Combining equations (714,627) yields a new equation: % 33.80/9.53 | (540) e4 = e1 % 33.80/9.53 | % 33.80/9.53 | Simplifying 540 yields: % 33.80/9.53 | (541) e4 = e1 % 33.80/9.53 | % 33.80/9.53 | Equations (541) can reduce 247 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (678) ~ (all_0_50_50 = e1) % 33.80/9.53 | (600) all_0_59_59 = e1 % 33.80/9.53 | % 33.80/9.53 | Combining equations (600,456) yields a new equation: % 33.80/9.53 | (601) e3 = e1 % 33.80/9.53 | % 33.80/9.53 | Equations (601) can reduce 136 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (432) ~ (all_0_40_40 = e3) % 33.80/9.53 | (1105) all_0_45_45 = e3 | all_0_52_52 = e3 | all_0_56_56 = e3 % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (243), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (877) all_0_56_56 = e4 % 33.80/9.53 | % 33.80/9.53 | Equations (877) can reduce 296 to: % 33.80/9.53 | (4) ~ (e4 = e0) % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (200), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (1102) all_0_40_40 = e3 % 33.80/9.53 | % 33.80/9.53 | Equations (1102) can reduce 432 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (432) ~ (all_0_40_40 = e3) % 33.80/9.53 | (2138) all_0_41_41 = e3 | all_0_43_43 = e3 | all_0_44_44 = e3 % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (100), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (618) all_0_43_43 = e1 % 33.80/9.53 | % 33.80/9.53 | Equations (618) can reduce 238 to: % 33.80/9.53 | (855) ~ (all_0_50_50 = e1) % 33.80/9.53 | % 33.80/9.53 | Simplifying 855 yields: % 33.80/9.53 | (678) ~ (all_0_50_50 = e1) % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (166), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (927) all_0_51_51 = e2 % 33.80/9.53 | % 33.80/9.53 | Equations (927) can reduce 32 to: % 33.80/9.53 | (577) ~ (e3 = e2) % 33.80/9.53 | % 33.80/9.53 | Simplifying 577 yields: % 33.80/9.53 | (223) ~ (e3 = e2) % 33.80/9.53 | % 33.80/9.53 | Equations (927) can reduce 2347 to: % 33.80/9.53 | (51) ~ (e2 = e0) % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (84), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (2078) all_0_44_44 = e0 % 33.80/9.53 | % 33.80/9.53 | Combining equations (2078,1096) yields a new equation: % 33.80/9.53 | (654) e4 = e0 % 33.80/9.53 | % 33.80/9.53 | Equations (654) can reduce 4 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (330) ~ (all_0_44_44 = e0) % 33.80/9.53 | (2270) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_60_60 = e0 % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (2270), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (306) all_0_47_47 = e0 % 33.80/9.53 | % 33.80/9.53 | Combining equations (309,306) yields a new equation: % 33.80/9.53 | (496) e3 = e0 % 33.80/9.53 | % 33.80/9.53 | Simplifying 496 yields: % 33.80/9.53 | (497) e3 = e0 % 33.80/9.53 | % 33.80/9.53 | Equations (497) can reduce 70 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (290) ~ (all_0_47_47 = e0) % 33.80/9.53 | (2342) all_0_51_51 = e0 | all_0_60_60 = e0 % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (2342), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (388) all_0_51_51 = e0 % 33.80/9.53 | % 33.80/9.53 | Combining equations (927,388) yields a new equation: % 33.80/9.53 | (403) e2 = e0 % 33.80/9.53 | % 33.80/9.53 | Simplifying 403 yields: % 33.80/9.53 | (385) e2 = e0 % 33.80/9.53 | % 33.80/9.53 | Equations (385) can reduce 51 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (2347) ~ (all_0_51_51 = e0) % 33.80/9.53 | (1934) all_0_60_60 = e0 % 33.80/9.53 | % 33.80/9.53 | Equations (1934) can reduce 316 to: % 33.80/9.53 | (333) ~ (e3 = e0) % 33.80/9.53 | % 33.80/9.53 | Simplifying 333 yields: % 33.80/9.53 | (70) ~ (e3 = e0) % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (367), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (714) all_0_50_50 = e4 % 33.80/9.53 | % 33.80/9.53 | Equations (714) can reduce 15 to: % 33.80/9.53 | (30) ~ (e4 = e3) % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (2138), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (431) all_0_41_41 = e3 % 33.80/9.53 | % 33.80/9.53 | Combining equations (431,945) yields a new equation: % 33.80/9.53 | (452) e3 = e2 % 33.80/9.53 | % 33.80/9.53 | Simplifying 452 yields: % 33.80/9.53 | (453) e3 = e2 % 33.80/9.53 | % 33.80/9.53 | Equations (453) can reduce 223 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (996) ~ (all_0_41_41 = e3) % 33.80/9.53 | (5989) all_0_43_43 = e3 | all_0_44_44 = e3 % 33.80/9.53 | % 33.80/9.53 | Equations (945) can reduce 996 to: % 33.80/9.53 | (577) ~ (e3 = e2) % 33.80/9.53 | % 33.80/9.53 | Simplifying 577 yields: % 33.80/9.53 | (223) ~ (e3 = e2) % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (1105), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (493) all_0_45_45 = e3 % 33.80/9.53 | % 33.80/9.53 | Combining equations (493,287) yields a new equation: % 33.80/9.53 | (496) e3 = e0 % 33.80/9.53 | % 33.80/9.53 | Simplifying 496 yields: % 33.80/9.53 | (497) e3 = e0 % 33.80/9.53 | % 33.80/9.53 | Equations (497) can reduce 70 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (1109) ~ (all_0_45_45 = e3) % 33.80/9.53 | (1110) all_0_52_52 = e3 | all_0_56_56 = e3 % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (1110), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (425) all_0_52_52 = e3 % 33.80/9.53 | % 33.80/9.53 | Combining equations (980,425) yields a new equation: % 33.80/9.53 | (453) e3 = e2 % 33.80/9.53 | % 33.80/9.53 | Equations (453) can reduce 223 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (521) ~ (all_0_52_52 = e3) % 33.80/9.53 | (1111) all_0_56_56 = e3 % 33.80/9.53 | % 33.80/9.53 | Combining equations (877,1111) yields a new equation: % 33.80/9.53 | (718) e4 = e3 % 33.80/9.53 | % 33.80/9.53 | Simplifying 718 yields: % 33.80/9.53 | (443) e4 = e3 % 33.80/9.53 | % 33.80/9.53 | Equations (443) can reduce 30 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (611) ~ (all_0_50_50 = e4) % 33.80/9.53 | (627) all_0_50_50 = e1 % 33.80/9.53 | % 33.80/9.53 | Equations (627) can reduce 678 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (373) ~ (all_0_51_51 = e2) % 33.80/9.53 | (6448) all_0_51_51 = e4 | all_0_51_51 = e1 | all_0_51_51 = e0 % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (722), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (714) all_0_50_50 = e4 % 33.80/9.53 | % 33.80/9.53 | Equations (714) can reduce 258 to: % 33.80/9.53 | (231) ~ (e4 = e2) % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (2476), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (368) all_0_49_49 = e2 % 33.80/9.53 | % 33.80/9.53 | Combining equations (384,368) yields a new equation: % 33.80/9.53 | (385) e2 = e0 % 33.80/9.53 | % 33.80/9.53 | Equations (385) can reduce 51 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (2167) ~ (all_0_49_49 = e2) % 33.80/9.53 | (2480) all_0_50_50 = e2 | all_0_51_51 = e2 % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (2480), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (364) all_0_50_50 = e2 % 33.80/9.53 | % 33.80/9.53 | Combining equations (714,364) yields a new equation: % 33.80/9.53 | (878) e4 = e2 % 33.80/9.53 | % 33.80/9.53 | Simplifying 878 yields: % 33.80/9.53 | (470) e4 = e2 % 33.80/9.53 | % 33.80/9.53 | Equations (470) can reduce 231 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (258) ~ (all_0_50_50 = e2) % 33.80/9.53 | (927) all_0_51_51 = e2 % 33.80/9.53 | % 33.80/9.53 | Equations (927) can reduce 373 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (611) ~ (all_0_50_50 = e4) % 33.80/9.53 | (1501) all_0_51_51 = e4 % 33.80/9.53 | % 33.80/9.53 | Equations (1501) can reduce 1504 to: % 33.80/9.53 | (303) $false % 33.80/9.53 | % 33.80/9.53 |-The branch is then unsatisfiable % 33.80/9.53 |-Branch two: % 33.80/9.53 | (622) ~ (all_0_43_43 = e1) % 33.80/9.53 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (367), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (714) all_0_50_50 = e4 % 33.80/9.53 | % 33.80/9.53 | Equations (714) can reduce 678 to: % 33.80/9.53 | (247) ~ (e4 = e1) % 33.80/9.53 | % 33.80/9.53 +-Applying beta-rule and splitting (623), into two cases. % 33.80/9.53 |-Branch one: % 33.80/9.53 | (627) all_0_50_50 = e1 % 33.80/9.54 | % 33.80/9.54 | Combining equations (714,627) yields a new equation: % 33.80/9.54 | (540) e4 = e1 % 33.80/9.54 | % 33.80/9.54 | Simplifying 540 yields: % 33.80/9.54 | (541) e4 = e1 % 33.80/9.54 | % 33.80/9.54 | Equations (541) can reduce 247 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (678) ~ (all_0_50_50 = e1) % 33.80/9.54 | (600) all_0_59_59 = e1 % 33.80/9.54 | % 33.80/9.54 | Combining equations (600,456) yields a new equation: % 33.80/9.54 | (601) e3 = e1 % 33.80/9.54 | % 33.80/9.54 | Equations (601) can reduce 136 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (611) ~ (all_0_50_50 = e4) % 33.80/9.54 | (627) all_0_50_50 = e1 % 33.80/9.54 | % 33.80/9.54 | Equations (627) can reduce 678 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (345) ~ (all_0_56_56 = e4) % 33.80/9.54 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 33.80/9.54 | % 33.80/9.54 +-Applying beta-rule and splitting (50), into two cases. % 33.80/9.54 |-Branch one: % 33.80/9.54 | (2307) all_0_56_56 = e0 % 33.80/9.54 | % 33.80/9.54 | Equations (2307) can reduce 296 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (296) ~ (all_0_56_56 = e0) % 33.80/9.54 | (2310) all_0_57_57 = e0 | all_0_58_58 = e0 | all_0_60_60 = e0 % 33.80/9.54 | % 33.80/9.54 +-Applying beta-rule and splitting (141), into two cases. % 33.80/9.54 |-Branch one: % 33.80/9.54 | (580) all_0_56_56 = e2 % 33.80/9.54 | % 33.80/9.54 | Equations (580) can reduce 594 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (594) ~ (all_0_56_56 = e2) % 33.80/9.54 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 33.80/9.54 | % 33.80/9.54 +-Applying beta-rule and splitting (979), into two cases. % 33.80/9.54 |-Branch one: % 33.80/9.54 | (877) all_0_56_56 = e4 % 33.80/9.54 | % 33.80/9.54 | Equations (877) can reduce 345 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (345) ~ (all_0_56_56 = e4) % 33.80/9.54 | (2325) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 33.80/9.54 | % 33.80/9.54 +-Applying beta-rule and splitting (2325), into two cases. % 33.80/9.54 |-Branch one: % 33.80/9.54 | (583) all_0_56_56 = e1 % 33.80/9.54 | % 33.80/9.54 | Equations (583) can reduce 587 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (587) ~ (all_0_56_56 = e1) % 33.80/9.54 | (2329) all_0_56_56 = e3 | all_0_56_56 = e0 % 33.80/9.54 | % 33.80/9.54 +-Applying beta-rule and splitting (2329), into two cases. % 33.80/9.54 |-Branch one: % 33.80/9.54 | (2307) all_0_56_56 = e0 % 33.80/9.54 | % 33.80/9.54 | Equations (2307) can reduce 296 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (296) ~ (all_0_56_56 = e0) % 33.80/9.54 | (1111) all_0_56_56 = e3 % 33.80/9.54 | % 33.80/9.54 | Equations (1111) can reduce 526 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (802) ~ (all_0_48_48 = e1) % 33.80/9.54 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 33.80/9.54 | % 33.80/9.54 +-Applying beta-rule and splitting (807), into two cases. % 33.80/9.54 |-Branch one: % 33.80/9.54 | (1070) all_0_52_52 = e1 % 33.80/9.54 | % 33.80/9.54 | Combining equations (980,1070) yields a new equation: % 33.80/9.54 | (584) e2 = e1 % 33.80/9.54 | % 33.80/9.54 | Simplifying 584 yields: % 33.80/9.54 | (585) e2 = e1 % 33.80/9.54 | % 33.80/9.54 | Equations (585) can reduce 144 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (502) ~ (all_0_52_52 = e1) % 33.80/9.54 | (583) all_0_56_56 = e1 % 33.80/9.54 | % 33.80/9.54 | Equations (583) can reduce 587 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (592) ~ (all_0_57_57 = e1) % 33.80/9.54 | (3062) all_0_57_57 = e3 | all_0_57_57 = e0 % 33.80/9.54 | % 33.80/9.54 +-Applying beta-rule and splitting (3062), into two cases. % 33.80/9.54 |-Branch one: % 33.80/9.54 | (407) all_0_57_57 = e0 % 33.80/9.54 | % 33.80/9.54 | Equations (407) can reduce 2273 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (2273) ~ (all_0_57_57 = e0) % 33.80/9.54 | (1001) all_0_57_57 = e3 % 33.80/9.54 | % 33.80/9.54 | Equations (1001) can reduce 2590 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (624) all_0_40_40 = e1 % 33.80/9.54 | (614) all_0_43_43 = e4 % 33.80/9.54 | % 33.80/9.54 | Equations (614) can reduce 712 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (474) ~ (all_0_44_44 = e4) % 33.80/9.54 | (2073) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 33.80/9.54 | % 33.80/9.54 +-Applying beta-rule and splitting (2073), into two cases. % 33.80/9.54 |-Branch one: % 33.80/9.54 | (705) all_0_44_44 = e1 % 33.80/9.54 | % 33.80/9.54 | Equations (705) can reduce 512 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (512) ~ (all_0_44_44 = e1) % 33.80/9.54 | (2077) all_0_44_44 = e3 | all_0_44_44 = e0 % 33.80/9.54 | % 33.80/9.54 +-Applying beta-rule and splitting (2077), into two cases. % 33.80/9.54 |-Branch one: % 33.80/9.54 | (2078) all_0_44_44 = e0 % 33.80/9.54 | % 33.80/9.54 | Equations (2078) can reduce 330 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (330) ~ (all_0_44_44 = e0) % 33.80/9.54 | (2081) all_0_44_44 = e3 % 33.80/9.54 | % 33.80/9.54 | Equations (2081) can reduce 310 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 33.80/9.54 | % 33.80/9.54 | Applying alpha-rule on (514) yields: % 33.80/9.54 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 33.80/9.54 | (516) ~ (all_0_47_47 = e3) % 33.80/9.54 | (314) ~ (all_0_55_55 = e3) % 33.80/9.54 | (368) all_0_49_49 = e2 % 33.80/9.54 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 33.80/9.54 | (520) ~ (unit = e3) % 33.80/9.54 | (521) ~ (all_0_52_52 = e3) % 33.80/9.54 | (455) ~ (all_0_46_46 = e3) % 33.80/9.54 | (432) ~ (all_0_40_40 = e3) % 33.80/9.54 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 33.80/9.54 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 33.80/9.54 | (526) ~ (all_0_56_56 = e3) % 33.80/9.54 | % 33.80/9.54 | Equations (368) can reduce 2167 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 33.80/9.54 | % 33.80/9.54 | Applying alpha-rule on (528) yields: % 33.80/9.54 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 33.80/9.54 | (530) all_0_55_55 = e1 % 33.80/9.54 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 33.80/9.54 | (387) ~ (all_0_49_49 = e0) % 33.80/9.54 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 33.80/9.54 | (534) ~ (all_0_45_45 = e0) % 33.80/9.54 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 33.80/9.54 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 33.80/9.54 | (537) ~ (unit = e0) % 33.80/9.54 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 33.80/9.54 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 33.80/9.54 | % 33.80/9.54 | Equations (287) can reduce 534 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 33.80/9.54 | % 33.80/9.54 | Applying alpha-rule on (543) yields: % 33.80/9.54 | (544) ~ (all_0_48_48 = e2) % 33.80/9.54 | (369) ~ (all_0_41_41 = e2) % 33.80/9.54 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 33.80/9.54 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 33.80/9.54 | (253) ~ (all_0_43_43 = e2) % 33.80/9.54 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 33.80/9.54 | (276) ~ (all_0_55_55 = e2) % 33.80/9.54 | (260) ~ (all_0_59_59 = e2) % 33.80/9.54 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 33.80/9.54 | (274) ~ (all_0_53_53 = e2) % 33.80/9.54 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 33.80/9.54 | (373) ~ (all_0_51_51 = e2) % 33.80/9.54 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 33.80/9.54 | (256) ~ (all_0_47_47 = e2) % 33.80/9.54 | (377) ~ (all_0_57_57 = e2) % 33.80/9.54 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 33.80/9.54 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 33.80/9.54 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 33.80/9.54 | (258) ~ (all_0_50_50 = e2) % 33.80/9.54 | (254) ~ (all_0_45_45 = e2) % 33.80/9.54 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 33.80/9.54 | % 33.80/9.54 | Equations (945) can reduce 369 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (369) ~ (all_0_41_41 = e2) % 33.80/9.54 | (2863) all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_57_57 = e2 % 33.80/9.54 | % 33.80/9.54 +-Applying beta-rule and splitting (180), into two cases. % 33.80/9.54 |-Branch one: % 33.80/9.54 | (945) all_0_41_41 = e2 % 33.80/9.54 | % 33.80/9.54 | Equations (945) can reduce 369 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (369) ~ (all_0_41_41 = e2) % 33.80/9.54 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 33.80/9.54 | % 33.80/9.54 +-Applying beta-rule and splitting (97), into two cases. % 33.80/9.54 |-Branch one: % 33.80/9.54 | (727) all_0_48_48 = e2 % 33.80/9.54 | % 33.80/9.54 | Equations (727) can reduce 544 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (544) ~ (all_0_48_48 = e2) % 33.80/9.54 | (2476) all_0_49_49 = e2 | all_0_50_50 = e2 | all_0_51_51 = e2 % 33.80/9.54 | % 33.80/9.54 +-Applying beta-rule and splitting (2476), into two cases. % 33.80/9.54 |-Branch one: % 33.80/9.54 | (368) all_0_49_49 = e2 % 33.80/9.54 | % 33.80/9.54 | Equations (368) can reduce 2167 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (2167) ~ (all_0_49_49 = e2) % 33.80/9.54 | (2480) all_0_50_50 = e2 | all_0_51_51 = e2 % 33.80/9.54 | % 33.80/9.54 +-Applying beta-rule and splitting (2480), into two cases. % 33.80/9.54 |-Branch one: % 33.80/9.54 | (364) all_0_50_50 = e2 % 33.80/9.54 | % 33.80/9.54 | Equations (364) can reduce 258 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (258) ~ (all_0_50_50 = e2) % 33.80/9.54 | (927) all_0_51_51 = e2 % 33.80/9.54 | % 33.80/9.54 | Equations (927) can reduce 160 to: % 33.80/9.54 | (2167) ~ (all_0_49_49 = e2) % 33.80/9.54 | % 33.80/9.54 | Equations (927) can reduce 95 to: % 33.80/9.54 | (573) ~ (all_0_60_60 = e2) % 33.80/9.54 | % 33.80/9.54 | Simplifying 573 yields: % 33.80/9.54 | (571) ~ (all_0_60_60 = e2) % 33.80/9.54 | % 33.80/9.54 +-Applying beta-rule and splitting (67), into two cases. % 33.80/9.54 |-Branch one: % 33.80/9.54 | (380) all_0_48_48 = e0 % 33.80/9.54 | % 33.80/9.54 | Equations (380) can reduce 292 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (292) ~ (all_0_48_48 = e0) % 33.80/9.54 | (383) all_0_49_49 = e0 | all_0_51_51 = e0 % 33.80/9.54 | % 33.80/9.54 +-Applying beta-rule and splitting (383), into two cases. % 33.80/9.54 |-Branch one: % 33.80/9.54 | (384) all_0_49_49 = e0 % 33.80/9.54 | % 33.80/9.54 | Equations (384) can reduce 177 to: % 33.80/9.54 | (326) ~ (all_0_41_41 = e0) % 33.80/9.54 | % 33.80/9.54 | Equations (384) can reduce 226 to: % 33.80/9.54 | (2272) ~ (all_0_57_57 = e0) % 33.80/9.54 | % 33.80/9.54 | Simplifying 2272 yields: % 33.80/9.54 | (2273) ~ (all_0_57_57 = e0) % 33.80/9.54 | % 33.80/9.54 | Equations (384) can reduce 2167 to: % 33.80/9.54 | (335) ~ (e2 = e0) % 33.80/9.54 | % 33.80/9.54 | Simplifying 335 yields: % 33.80/9.54 | (51) ~ (e2 = e0) % 33.80/9.54 | % 33.80/9.54 +-Applying beta-rule and splitting (250), into two cases. % 33.80/9.54 |-Branch one: % 33.80/9.54 | (897) all_0_57_57 = e2 % 33.80/9.54 | % 33.80/9.54 | Equations (897) can reduce 377 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (377) ~ (all_0_57_57 = e2) % 33.80/9.54 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 33.80/9.54 | % 33.80/9.54 +-Applying beta-rule and splitting (50), into two cases. % 33.80/9.54 |-Branch one: % 33.80/9.54 | (2307) all_0_56_56 = e0 % 33.80/9.54 | % 33.80/9.54 | Equations (2307) can reduce 296 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (296) ~ (all_0_56_56 = e0) % 33.80/9.54 | (2310) all_0_57_57 = e0 | all_0_58_58 = e0 | all_0_60_60 = e0 % 33.80/9.54 | % 33.80/9.54 +-Applying beta-rule and splitting (2310), into two cases. % 33.80/9.54 |-Branch one: % 33.80/9.54 | (407) all_0_57_57 = e0 % 33.80/9.54 | % 33.80/9.54 | Equations (407) can reduce 2273 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (2273) ~ (all_0_57_57 = e0) % 33.80/9.54 | (2314) all_0_58_58 = e0 | all_0_60_60 = e0 % 33.80/9.54 | % 33.80/9.54 +-Applying beta-rule and splitting (2314), into two cases. % 33.80/9.54 |-Branch one: % 33.80/9.54 | (989) all_0_58_58 = e0 % 33.80/9.54 | % 33.80/9.54 | Combining equations (340,989) yields a new equation: % 33.80/9.54 | (403) e2 = e0 % 33.80/9.54 | % 33.80/9.54 | Simplifying 403 yields: % 33.80/9.54 | (385) e2 = e0 % 33.80/9.54 | % 33.80/9.54 | Equations (385) can reduce 51 to: % 33.80/9.54 | (303) $false % 33.80/9.54 | % 33.80/9.54 |-The branch is then unsatisfiable % 33.80/9.54 |-Branch two: % 33.80/9.54 | (332) ~ (all_0_58_58 = e0) % 33.80/9.54 | (1934) all_0_60_60 = e0 % 33.80/9.54 | % 33.80/9.54 | Equations (1934) can reduce 316 to: % 33.80/9.54 | (333) ~ (e3 = e0) % 33.80/9.54 | % 33.80/9.54 | Simplifying 333 yields: % 33.80/9.54 | (70) ~ (e3 = e0) % 33.80/9.54 | % 33.80/9.54 | Equations (1934) can reduce 571 to: % 33.80/9.54 | (335) ~ (e2 = e0) % 33.80/9.54 | % 33.80/9.54 | Simplifying 335 yields: % 33.80/9.54 | (51) ~ (e2 = e0) % 33.80/9.54 | % 33.80/9.54 +-Applying beta-rule and splitting (56), into two cases. % 33.80/9.54 |-Branch one: % 33.80/9.54 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 33.80/9.54 | % 33.80/9.54 +-Applying beta-rule and splitting (480), into two cases. % 33.80/9.54 |-Branch one: % 33.80/9.54 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 33.80/9.55 | % 33.80/9.55 +-Applying beta-rule and splitting (481), into two cases. % 33.80/9.55 |-Branch one: % 33.80/9.55 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 33.80/9.55 | % 33.80/9.55 +-Applying beta-rule and splitting (482), into two cases. % 33.80/9.55 |-Branch one: % 33.80/9.55 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 33.80/9.55 | % 33.80/9.55 | Applying alpha-rule on (483) yields: % 33.80/9.55 | (484) ~ (unit = e4) % 33.80/9.55 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 33.80/9.55 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 33.80/9.55 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 33.80/9.55 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 33.80/9.55 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 33.80/9.55 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 33.80/9.55 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 33.80/9.55 | (492) ~ (all_0_55_55 = e4) % 33.80/9.55 | (493) all_0_45_45 = e3 % 33.80/9.55 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 33.80/9.55 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 33.80/9.55 | % 33.80/9.55 | Combining equations (493,287) yields a new equation: % 33.80/9.55 | (496) e3 = e0 % 33.80/9.55 | % 33.80/9.55 | Simplifying 496 yields: % 33.80/9.55 | (497) e3 = e0 % 33.80/9.55 | % 33.80/9.55 | Equations (497) can reduce 70 to: % 33.80/9.55 | (303) $false % 33.80/9.55 | % 33.80/9.55 |-The branch is then unsatisfiable % 33.80/9.55 |-Branch two: % 33.80/9.55 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 33.80/9.55 | % 33.80/9.55 | Applying alpha-rule on (499) yields: % 33.80/9.55 | (500) ~ (all_0_51_51 = e1) % 33.80/9.55 | (501) ~ (all_0_60_60 = e1) % 33.80/9.55 | (502) ~ (all_0_52_52 = e1) % 33.80/9.55 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 33.80/9.55 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 33.80/9.55 | (252) all_0_46_46 = e2 % 33.80/9.55 | (506) ~ (all_0_49_49 = e1) % 33.80/9.55 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 33.80/9.55 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 33.80/9.55 | (509) ~ (all_0_53_53 = e1) % 33.80/9.55 | (510) ~ (unit = e1) % 33.80/9.55 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 33.80/9.55 | (512) ~ (all_0_44_44 = e1) % 33.80/9.55 | % 33.80/9.55 +-Applying beta-rule and splitting (2863), into two cases. % 33.80/9.55 |-Branch one: % 33.80/9.55 | (368) all_0_49_49 = e2 % 33.80/9.55 | % 33.80/9.55 | Combining equations (368,384) yields a new equation: % 33.80/9.55 | (403) e2 = e0 % 33.80/9.55 | % 33.80/9.55 | Simplifying 403 yields: % 33.80/9.55 | (385) e2 = e0 % 33.80/9.55 | % 33.80/9.55 | Equations (385) can reduce 51 to: % 33.80/9.55 | (303) $false % 33.80/9.55 | % 33.80/9.55 |-The branch is then unsatisfiable % 33.80/9.55 |-Branch two: % 33.80/9.55 | (2167) ~ (all_0_49_49 = e2) % 33.80/9.55 | (5846) all_0_53_53 = e2 | all_0_57_57 = e2 % 33.80/9.55 | % 33.80/9.55 +-Applying beta-rule and splitting (1017), into two cases. % 33.80/9.55 |-Branch one: % 33.80/9.55 | (696) all_0_41_41 = e1 % 33.80/9.55 | % 33.80/9.55 +-Applying beta-rule and splitting (507), into two cases. % 33.80/9.55 |-Branch one: % 33.80/9.55 | (699) ~ (all_0_41_41 = e1) % 33.80/9.55 | % 33.80/9.55 | Equations (696) can reduce 699 to: % 33.80/9.55 | (303) $false % 33.80/9.55 | % 33.80/9.55 |-The branch is then unsatisfiable % 33.80/9.55 |-Branch two: % 33.80/9.55 | (696) all_0_41_41 = e1 % 33.80/9.55 | (447) all_0_43_43 = e3 % 33.80/9.55 | % 33.80/9.55 | Equations (447) can reduce 253 to: % 33.80/9.55 | (223) ~ (e3 = e2) % 33.80/9.55 | % 33.80/9.55 +-Applying beta-rule and splitting (5846), into two cases. % 33.80/9.55 |-Branch one: % 33.80/9.55 | (360) all_0_53_53 = e2 % 33.80/9.55 | % 33.80/9.55 | Combining equations (994,360) yields a new equation: % 33.80/9.55 | (452) e3 = e2 % 33.80/9.55 | % 33.80/9.55 | Simplifying 452 yields: % 33.80/9.55 | (453) e3 = e2 % 33.80/9.55 | % 33.80/9.55 | Equations (453) can reduce 223 to: % 33.80/9.55 | (303) $false % 33.80/9.55 | % 33.80/9.55 |-The branch is then unsatisfiable % 33.80/9.55 |-Branch two: % 33.80/9.55 | (274) ~ (all_0_53_53 = e2) % 33.80/9.55 | (897) all_0_57_57 = e2 % 33.80/9.55 | % 33.80/9.55 | Equations (897) can reduce 377 to: % 33.80/9.55 | (303) $false % 33.80/9.55 | % 33.80/9.55 |-The branch is then unsatisfiable % 33.80/9.55 |-Branch two: % 33.80/9.55 | (699) ~ (all_0_41_41 = e1) % 33.80/9.55 | (2158) all_0_41_41 = e3 | all_0_41_41 = e0 % 33.80/9.55 | % 33.80/9.55 +-Applying beta-rule and splitting (2158), into two cases. % 33.80/9.55 |-Branch one: % 33.80/9.55 | (398) all_0_41_41 = e0 % 33.80/9.55 | % 33.80/9.55 | Equations (398) can reduce 326 to: % 33.80/9.55 | (303) $false % 33.80/9.55 | % 33.80/9.55 |-The branch is then unsatisfiable % 33.80/9.55 |-Branch two: % 33.80/9.55 | (326) ~ (all_0_41_41 = e0) % 33.80/9.55 | (431) all_0_41_41 = e3 % 33.80/9.55 | % 33.80/9.55 | Equations (431) can reduce 996 to: % 33.80/9.55 | (303) $false % 33.80/9.55 | % 33.80/9.55 |-The branch is then unsatisfiable % 33.80/9.55 |-Branch two: % 33.80/9.55 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 33.80/9.55 | % 33.80/9.55 | Applying alpha-rule on (514) yields: % 33.80/9.55 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 33.80/9.55 | (516) ~ (all_0_47_47 = e3) % 33.80/9.55 | (314) ~ (all_0_55_55 = e3) % 33.80/9.55 | (368) all_0_49_49 = e2 % 33.80/9.55 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 33.80/9.55 | (520) ~ (unit = e3) % 33.80/9.55 | (521) ~ (all_0_52_52 = e3) % 33.80/9.55 | (455) ~ (all_0_46_46 = e3) % 33.80/9.55 | (432) ~ (all_0_40_40 = e3) % 33.80/9.55 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 33.80/9.55 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 33.80/9.55 | (526) ~ (all_0_56_56 = e3) % 33.80/9.55 | % 33.80/9.55 | Combining equations (368,384) yields a new equation: % 33.80/9.55 | (403) e2 = e0 % 33.80/9.55 | % 33.80/9.55 | Simplifying 403 yields: % 33.80/9.55 | (385) e2 = e0 % 33.80/9.55 | % 33.80/9.55 | Equations (385) can reduce 51 to: % 33.80/9.55 | (303) $false % 33.80/9.55 | % 33.80/9.55 |-The branch is then unsatisfiable % 33.80/9.55 |-Branch two: % 33.80/9.55 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 33.80/9.55 | % 33.80/9.55 | Applying alpha-rule on (528) yields: % 33.80/9.55 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 33.80/9.55 | (530) all_0_55_55 = e1 % 33.80/9.55 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 33.80/9.55 | (387) ~ (all_0_49_49 = e0) % 33.80/9.55 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 33.80/9.55 | (534) ~ (all_0_45_45 = e0) % 33.80/9.55 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 33.80/9.55 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 33.80/9.55 | (537) ~ (unit = e0) % 33.80/9.55 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 33.80/9.55 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 33.80/9.55 | % 33.80/9.55 | Equations (384) can reduce 387 to: % 33.80/9.55 | (303) $false % 33.80/9.55 | % 33.80/9.55 |-The branch is then unsatisfiable % 33.80/9.55 |-Branch two: % 33.80/9.55 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 33.80/9.55 | % 33.80/9.55 | Applying alpha-rule on (543) yields: % 33.80/9.55 | (544) ~ (all_0_48_48 = e2) % 33.80/9.55 | (369) ~ (all_0_41_41 = e2) % 33.80/9.55 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 33.80/9.55 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 33.80/9.55 | (253) ~ (all_0_43_43 = e2) % 33.80/9.55 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 33.80/9.55 | (276) ~ (all_0_55_55 = e2) % 33.80/9.55 | (260) ~ (all_0_59_59 = e2) % 33.80/9.55 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 33.80/9.55 | (274) ~ (all_0_53_53 = e2) % 33.80/9.55 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 33.80/9.55 | (373) ~ (all_0_51_51 = e2) % 33.80/9.55 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 33.80/9.55 | (256) ~ (all_0_47_47 = e2) % 33.80/9.55 | (377) ~ (all_0_57_57 = e2) % 33.80/9.55 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 33.80/9.55 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 33.80/9.55 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 33.80/9.55 | (258) ~ (all_0_50_50 = e2) % 33.80/9.55 | (254) ~ (all_0_45_45 = e2) % 33.80/9.55 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 33.80/9.55 | % 33.80/9.55 | Equations (927) can reduce 373 to: % 33.80/9.55 | (303) $false % 33.80/9.55 | % 33.80/9.55 |-The branch is then unsatisfiable % 33.80/9.55 |-Branch two: % 33.80/9.55 | (387) ~ (all_0_49_49 = e0) % 33.80/9.55 | (388) all_0_51_51 = e0 % 33.80/9.55 | % 33.80/9.55 | Combining equations (927,388) yields a new equation: % 33.80/9.55 | (403) e2 = e0 % 33.80/9.55 | % 33.80/9.55 | Simplifying 403 yields: % 33.80/9.55 | (385) e2 = e0 % 33.80/9.55 | % 33.80/9.55 | Equations (385) can reduce 51 to: % 33.80/9.55 | (303) $false % 33.80/9.55 | % 33.80/9.55 |-The branch is then unsatisfiable % 33.80/9.55 |-Branch two: % 33.80/9.55 | (428) ~ (all_0_53_53 = e3) % 33.80/9.55 | (2165) all_0_55_55 = e3 % 33.80/9.55 | % 33.80/9.55 | Combining equations (2165,530) yields a new equation: % 33.80/9.55 | (680) e3 = e1 % 33.80/9.55 | % 33.80/9.55 | Simplifying 680 yields: % 33.80/9.55 | (601) e3 = e1 % 33.80/9.55 | % 33.80/9.55 | Equations (601) can reduce 136 to: % 33.80/9.55 | (303) $false % 33.80/9.55 | % 33.80/9.55 |-The branch is then unsatisfiable % 33.80/9.55 |-Branch two: % 33.80/9.55 | (273) ~ (all_0_52_52 = e2) % 33.80/9.55 | (15176) all_0_53_53 = e2 | all_0_54_54 = e2 | all_0_55_55 = e2 % 33.80/9.55 | % 33.80/9.55 +-Applying beta-rule and splitting (15176), into two cases. % 33.80/9.55 |-Branch one: % 33.80/9.55 | (360) all_0_53_53 = e2 % 33.80/9.55 | % 33.80/9.55 | Equations (360) can reduce 274 to: % 33.80/9.55 | (303) $false % 33.80/9.55 | % 33.80/9.55 |-The branch is then unsatisfiable % 33.80/9.55 |-Branch two: % 33.80/9.55 | (274) ~ (all_0_53_53 = e2) % 33.80/9.55 | (15180) all_0_54_54 = e2 | all_0_55_55 = e2 % 33.80/9.55 | % 33.80/9.55 +-Applying beta-rule and splitting (15180), into two cases. % 33.80/9.55 |-Branch one: % 33.80/9.55 | (271) all_0_54_54 = e2 % 33.80/9.55 | % 33.80/9.55 | Combining equations (469,271) yields a new equation: % 33.80/9.55 | (878) e4 = e2 % 33.80/9.55 | % 33.80/9.55 | Simplifying 878 yields: % 33.80/9.55 | (470) e4 = e2 % 33.80/9.55 | % 33.80/9.55 | Equations (470) can reduce 231 to: % 33.80/9.55 | (303) $false % 33.80/9.55 | % 33.80/9.55 |-The branch is then unsatisfiable % 33.80/9.55 |-Branch two: % 33.80/9.55 | (3453) ~ (all_0_54_54 = e2) % 33.80/9.55 | (932) all_0_55_55 = e2 % 33.80/9.55 | % 33.80/9.55 | Combining equations (932,530) yields a new equation: % 33.80/9.55 | (584) e2 = e1 % 33.80/9.55 | % 33.80/9.55 | Simplifying 584 yields: % 33.80/9.55 | (585) e2 = e1 % 33.80/9.55 | % 33.80/9.55 | Equations (585) can reduce 144 to: % 33.80/9.55 | (303) $false % 33.80/9.55 | % 33.80/9.55 |-The branch is then unsatisfiable % 33.80/9.55 |-Branch two: % 33.80/9.55 | (464) ~ (all_0_55_55 = e1) % 33.80/9.55 | (2165) all_0_55_55 = e3 % 33.80/9.55 | % 33.80/9.55 | Equations (2165) can reduce 314 to: % 33.80/9.55 | (303) $false % 33.80/9.55 | % 33.80/9.55 |-The branch is then unsatisfiable % 33.80/9.55 |-Branch two: % 33.80/9.55 | (534) ~ (all_0_45_45 = e0) % 33.80/9.55 | (306) all_0_47_47 = e0 % 33.80/9.55 | % 33.80/9.55 | Equations (306) can reduce 52 to: % 33.80/9.55 | (330) ~ (all_0_44_44 = e0) % 33.80/9.55 | % 33.80/9.55 | Equations (306) can reduce 118 to: % 33.80/9.55 | (534) ~ (all_0_45_45 = e0) % 33.80/9.55 | % 33.80/9.55 | Equations (306) can reduce 142 to: % 33.80/9.55 | (5945) ~ (all_0_51_51 = e0) % 33.80/9.55 | % 33.80/9.55 | Simplifying 5945 yields: % 33.80/9.55 | (2347) ~ (all_0_51_51 = e0) % 33.80/9.55 | % 33.80/9.55 | Equations (306) can reduce 39 to: % 33.80/9.55 | (392) ~ (all_0_55_55 = e0) % 33.80/9.55 | % 33.80/9.55 | Simplifying 392 yields: % 33.80/9.55 | (93) ~ (all_0_55_55 = e0) % 33.80/9.55 | % 33.80/9.55 | Equations (306) can reduce 47 to: % 33.80/9.55 | (413) ~ (all_0_60_60 = e0) % 33.80/9.55 | % 33.80/9.55 | Simplifying 413 yields: % 33.80/9.55 | (414) ~ (all_0_60_60 = e0) % 33.80/9.55 | % 33.80/9.55 | Equations (306) can reduce 198 to: % 33.80/9.55 | (297) ~ (e4 = e0) % 33.80/9.55 | % 33.80/9.55 | Simplifying 297 yields: % 33.80/9.55 | (4) ~ (e4 = e0) % 33.80/9.55 | % 33.80/9.55 | Equations (306) can reduce 256 to: % 33.80/9.55 | (335) ~ (e2 = e0) % 33.80/9.55 | % 33.80/9.55 | Simplifying 335 yields: % 33.80/9.55 | (51) ~ (e2 = e0) % 33.80/9.56 | % 33.80/9.56 | Equations (306) can reduce 193 to: % 33.80/9.56 | (661) ~ (e1 = e0) % 33.80/9.56 | % 33.80/9.56 | Simplifying 661 yields: % 33.80/9.56 | (134) ~ (e1 = e0) % 33.80/9.56 | % 33.80/9.56 | From (306) and (68) follows: % 33.80/9.56 | (6267) op(e0, e3) = all_0_13_13 % 33.80/9.56 | % 33.80/9.56 | From (306) and (75) follows: % 33.80/9.56 | (6268) op(e0, e0) = all_0_14_14 % 33.80/9.56 | % 33.80/9.56 | From (306) and (204) follows: % 33.80/9.56 | (6269) op(e3, e0) = e0 % 33.80/9.56 | % 33.80/9.56 +-Applying beta-rule and splitting (76), into two cases. % 33.80/9.56 |-Branch one: % 33.80/9.56 | (951) all_0_45_45 = e2 % 33.80/9.56 | % 33.80/9.56 | Equations (951) can reduce 254 to: % 33.80/9.56 | (303) $false % 33.80/9.56 | % 33.80/9.56 |-The branch is then unsatisfiable % 33.80/9.56 |-Branch two: % 33.80/9.56 | (254) ~ (all_0_45_45 = e2) % 33.80/9.56 | (6273) all_0_45_45 = e3 | all_0_45_45 = e0 % 33.80/9.56 | % 33.80/9.56 +-Applying beta-rule and splitting (101), into two cases. % 33.80/9.56 |-Branch one: % 33.80/9.56 | (493) all_0_45_45 = e3 % 33.80/9.56 | % 33.80/9.56 | Equations (493) can reduce 120 to: % 33.80/9.56 | (432) ~ (all_0_40_40 = e3) % 33.80/9.56 | % 33.80/9.56 | Equations (493) can reduce 214 to: % 33.80/9.56 | (1725) ~ (all_0_48_48 = e3) % 33.80/9.56 | % 33.80/9.56 | Simplifying 1725 yields: % 33.80/9.56 | (34) ~ (all_0_48_48 = e3) % 33.80/9.56 | % 33.80/9.56 | Equations (493) can reduce 162 to: % 33.80/9.56 | (1727) ~ (all_0_52_52 = e3) % 33.80/9.56 | % 33.80/9.56 | Simplifying 1727 yields: % 33.80/9.56 | (521) ~ (all_0_52_52 = e3) % 33.80/9.56 | % 33.80/9.56 | Equations (493) can reduce 182 to: % 33.80/9.56 | (2285) ~ (all_0_56_56 = e3) % 33.80/9.56 | % 33.80/9.56 | Simplifying 2285 yields: % 33.80/9.56 | (526) ~ (all_0_56_56 = e3) % 33.80/9.56 | % 33.80/9.56 | Equations (493) can reduce 217 to: % 33.80/9.56 | (439) ~ (e4 = e3) % 33.80/9.56 | % 33.80/9.56 | Simplifying 439 yields: % 33.80/9.56 | (30) ~ (e4 = e3) % 33.80/9.56 | % 33.80/9.56 | Equations (493) can reduce 184 to: % 33.80/9.56 | (136) ~ (e3 = e1) % 33.80/9.56 | % 33.80/9.56 | Equations (493) can reduce 534 to: % 33.80/9.56 | (70) ~ (e3 = e0) % 33.80/9.56 | % 33.80/9.56 | From (493) and (49) follows: % 33.80/9.56 | (6283) op(e3, e3) = all_0_9_9 % 33.80/9.56 | % 33.80/9.56 | Instantiating formula (29) with e3, e3, all_0_9_9, e4 and discharging atoms op(e3, e3) = all_0_9_9, op(e3, e3) = e4, yields: % 33.80/9.56 | (6284) all_0_9_9 = e4 % 33.80/9.56 | % 33.80/9.56 | Instantiating formula (29) with e0, e3, all_0_13_13, all_0_57_57 and discharging atoms op(e0, e3) = all_0_13_13, op(e0, e3) = all_0_57_57, yields: % 33.80/9.56 | (6285) all_0_13_13 = all_0_57_57 % 33.80/9.56 | % 33.80/9.56 | Instantiating formula (29) with e0, e0, all_0_14_14, all_0_60_60 and discharging atoms op(e0, e0) = all_0_14_14, op(e0, e0) = all_0_60_60, yields: % 33.80/9.56 | (6286) all_0_14_14 = all_0_60_60 % 33.80/9.56 | % 33.80/9.56 | From (6284) and (6283) follows: % 33.80/9.56 | (22) op(e3, e3) = e4 % 33.80/9.56 | % 33.80/9.56 | From (6285) and (6267) follows: % 33.80/9.56 | (5) op(e0, e3) = all_0_57_57 % 33.80/9.56 | % 33.80/9.56 | From (6286) and (6268) follows: % 33.80/9.56 | (170) op(e0, e0) = all_0_60_60 % 33.80/9.56 | % 33.80/9.56 +-Applying beta-rule and splitting (88), into two cases. % 33.80/9.56 |-Branch one: % 33.80/9.56 | (364) all_0_50_50 = e2 % 33.80/9.56 | % 33.80/9.56 | Equations (364) can reduce 258 to: % 33.80/9.56 | (303) $false % 33.80/9.56 | % 33.80/9.56 |-The branch is then unsatisfiable % 33.80/9.56 |-Branch two: % 33.80/9.56 | (258) ~ (all_0_50_50 = e2) % 33.80/9.56 | (367) all_0_50_50 = e4 | all_0_50_50 = e1 % 33.80/9.56 | % 33.80/9.56 +-Applying beta-rule and splitting (213), into two cases. % 33.80/9.56 |-Branch one: % 33.80/9.56 | (360) all_0_53_53 = e2 % 33.80/9.56 | % 33.80/9.56 | Equations (360) can reduce 7 to: % 33.80/9.56 | (2167) ~ (all_0_49_49 = e2) % 33.80/9.56 | % 33.80/9.56 | Equations (360) can reduce 77 to: % 33.80/9.56 | (273) ~ (all_0_52_52 = e2) % 33.80/9.56 | % 33.80/9.56 +-Applying beta-rule and splitting (24), into two cases. % 33.80/9.56 |-Branch one: % 33.80/9.56 | (980) all_0_52_52 = e2 % 33.80/9.56 | % 33.80/9.56 | Equations (980) can reduce 273 to: % 33.80/9.56 | (303) $false % 33.80/9.56 | % 33.80/9.56 |-The branch is then unsatisfiable % 33.80/9.56 |-Branch two: % 33.80/9.56 | (273) ~ (all_0_52_52 = e2) % 33.80/9.56 | (1772) all_0_52_52 = e4 | all_0_52_52 = e3 | all_0_52_52 = e1 % 33.80/9.56 | % 33.80/9.56 +-Applying beta-rule and splitting (1772), into two cases. % 33.80/9.56 |-Branch one: % 33.80/9.56 | (442) all_0_52_52 = e4 % 33.80/9.56 | % 33.80/9.56 | Equations (442) can reduce 445 to: % 33.80/9.56 | (303) $false % 33.80/9.56 | % 33.80/9.56 |-The branch is then unsatisfiable % 33.80/9.56 |-Branch two: % 33.80/9.56 | (445) ~ (all_0_52_52 = e4) % 33.80/9.56 | (1795) all_0_52_52 = e3 | all_0_52_52 = e1 % 33.80/9.56 | % 33.80/9.56 +-Applying beta-rule and splitting (1795), into two cases. % 33.80/9.56 |-Branch one: % 33.80/9.56 | (1070) all_0_52_52 = e1 % 33.80/9.56 | % 33.80/9.56 | Equations (1070) can reduce 169 to: % 33.80/9.56 | (463) ~ (all_0_55_55 = e1) % 33.80/9.56 | % 33.80/9.56 | Simplifying 463 yields: % 33.80/9.56 | (464) ~ (all_0_55_55 = e1) % 33.80/9.56 | % 33.80/9.56 | Equations (1070) can reduce 273 to: % 33.80/9.56 | (565) ~ (e2 = e1) % 33.80/9.56 | % 33.80/9.56 | Simplifying 565 yields: % 33.80/9.56 | (144) ~ (e2 = e1) % 33.80/9.56 | % 33.80/9.56 +-Applying beta-rule and splitting (56), into two cases. % 33.80/9.56 |-Branch one: % 33.80/9.56 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 33.80/9.56 | % 33.80/9.56 +-Applying beta-rule and splitting (480), into two cases. % 33.80/9.56 |-Branch one: % 33.80/9.56 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 33.80/9.56 | % 33.80/9.56 +-Applying beta-rule and splitting (481), into two cases. % 33.80/9.56 |-Branch one: % 33.80/9.56 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 33.80/9.56 | % 33.80/9.56 +-Applying beta-rule and splitting (482), into two cases. % 33.80/9.56 |-Branch one: % 33.80/9.56 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 33.80/9.56 | % 33.80/9.56 | Applying alpha-rule on (483) yields: % 33.80/9.56 | (484) ~ (unit = e4) % 33.80/9.56 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 33.80/9.56 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 33.80/9.56 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 33.80/9.56 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 33.80/9.56 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 33.80/9.56 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 33.80/9.56 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 33.80/9.56 | (492) ~ (all_0_55_55 = e4) % 33.80/9.56 | (493) all_0_45_45 = e3 % 33.80/9.56 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 33.80/9.56 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 33.80/9.56 | % 33.80/9.56 +-Applying beta-rule and splitting (485), into two cases. % 33.80/9.56 |-Branch one: % 33.80/9.56 | (472) ~ (all_0_54_54 = e4) % 33.80/9.56 | % 33.80/9.56 | Equations (469) can reduce 472 to: % 33.80/9.56 | (303) $false % 33.80/9.56 | % 33.80/9.56 |-The branch is then unsatisfiable % 33.80/9.56 |-Branch two: % 33.80/9.56 | (469) all_0_54_54 = e4 % 33.80/9.56 | (980) all_0_52_52 = e2 % 33.80/9.56 | % 33.80/9.56 | Combining equations (980,1070) yields a new equation: % 33.80/9.56 | (584) e2 = e1 % 33.80/9.56 | % 33.80/9.56 | Simplifying 584 yields: % 33.80/9.56 | (585) e2 = e1 % 33.80/9.56 | % 33.80/9.56 | Equations (585) can reduce 144 to: % 33.80/9.56 | (303) $false % 33.80/9.56 | % 33.80/9.56 |-The branch is then unsatisfiable % 33.80/9.56 |-Branch two: % 33.80/9.56 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 33.80/9.56 | % 33.80/9.56 | Applying alpha-rule on (499) yields: % 33.80/9.56 | (500) ~ (all_0_51_51 = e1) % 33.80/9.56 | (501) ~ (all_0_60_60 = e1) % 33.80/9.56 | (502) ~ (all_0_52_52 = e1) % 33.80/9.56 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 33.80/9.56 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 33.80/9.56 | (252) all_0_46_46 = e2 % 33.80/9.56 | (506) ~ (all_0_49_49 = e1) % 33.80/9.56 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 33.80/9.56 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 33.80/9.56 | (509) ~ (all_0_53_53 = e1) % 33.80/9.56 | (510) ~ (unit = e1) % 33.80/9.56 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 33.80/9.56 | (512) ~ (all_0_44_44 = e1) % 33.80/9.56 | % 33.80/9.56 | Equations (1070) can reduce 502 to: % 33.80/9.56 | (303) $false % 33.80/9.56 | % 33.80/9.56 |-The branch is then unsatisfiable % 33.80/9.56 |-Branch two: % 33.80/9.56 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 33.80/9.56 | % 33.80/9.56 | Applying alpha-rule on (514) yields: % 33.80/9.56 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 33.80/9.56 | (516) ~ (all_0_47_47 = e3) % 33.80/9.56 | (314) ~ (all_0_55_55 = e3) % 33.80/9.56 | (368) all_0_49_49 = e2 % 33.80/9.56 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 33.80/9.56 | (520) ~ (unit = e3) % 33.80/9.56 | (521) ~ (all_0_52_52 = e3) % 33.80/9.56 | (455) ~ (all_0_46_46 = e3) % 33.80/9.56 | (432) ~ (all_0_40_40 = e3) % 33.80/9.56 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 33.80/9.56 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 33.80/9.56 | (526) ~ (all_0_56_56 = e3) % 33.80/9.56 | % 33.80/9.56 | Equations (368) can reduce 2167 to: % 33.80/9.56 | (303) $false % 33.80/9.56 | % 33.80/9.56 |-The branch is then unsatisfiable % 33.80/9.56 |-Branch two: % 33.80/9.56 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 33.80/9.56 | % 33.80/9.56 | Applying alpha-rule on (528) yields: % 33.80/9.56 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 33.80/9.56 | (530) all_0_55_55 = e1 % 33.80/9.56 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 33.80/9.56 | (387) ~ (all_0_49_49 = e0) % 33.80/9.56 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 33.80/9.56 | (534) ~ (all_0_45_45 = e0) % 33.80/9.56 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 33.80/9.56 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 33.80/9.56 | (537) ~ (unit = e0) % 33.80/9.56 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 33.80/9.56 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 33.80/9.56 | % 33.80/9.56 | Equations (530) can reduce 464 to: % 33.80/9.56 | (303) $false % 33.80/9.56 | % 33.80/9.56 |-The branch is then unsatisfiable % 33.80/9.56 |-Branch two: % 33.80/9.56 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 33.80/9.56 | % 33.80/9.56 | Applying alpha-rule on (543) yields: % 33.80/9.56 | (544) ~ (all_0_48_48 = e2) % 33.80/9.56 | (369) ~ (all_0_41_41 = e2) % 33.80/9.56 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 33.80/9.56 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 33.80/9.56 | (253) ~ (all_0_43_43 = e2) % 33.80/9.56 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 33.80/9.56 | (276) ~ (all_0_55_55 = e2) % 33.80/9.56 | (260) ~ (all_0_59_59 = e2) % 33.80/9.56 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 33.80/9.56 | (274) ~ (all_0_53_53 = e2) % 33.80/9.56 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 33.80/9.56 | (373) ~ (all_0_51_51 = e2) % 33.80/9.56 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 33.80/9.56 | (256) ~ (all_0_47_47 = e2) % 33.80/9.56 | (377) ~ (all_0_57_57 = e2) % 33.80/9.56 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 33.80/9.56 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 33.80/9.56 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 33.80/9.56 | (258) ~ (all_0_50_50 = e2) % 33.80/9.56 | (254) ~ (all_0_45_45 = e2) % 33.80/9.56 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 33.80/9.56 | % 33.80/9.56 | Equations (360) can reduce 274 to: % 33.80/9.56 | (303) $false % 33.80/9.56 | % 33.80/9.56 |-The branch is then unsatisfiable % 33.80/9.56 |-Branch two: % 33.80/9.56 | (502) ~ (all_0_52_52 = e1) % 33.80/9.56 | (425) all_0_52_52 = e3 % 33.80/9.56 | % 33.80/9.56 | Equations (425) can reduce 521 to: % 33.80/9.56 | (303) $false % 33.80/9.56 | % 33.80/9.56 |-The branch is then unsatisfiable % 33.80/9.56 |-Branch two: % 33.80/9.56 | (274) ~ (all_0_53_53 = e2) % 33.80/9.56 | (363) all_0_53_53 = e3 | all_0_53_53 = e1 % 33.80/9.56 | % 33.80/9.56 +-Applying beta-rule and splitting (114), into two cases. % 33.80/9.56 |-Branch one: % 33.80/9.56 | (368) all_0_49_49 = e2 % 33.80/9.56 | % 33.80/9.56 | Equations (368) can reduce 177 to: % 33.80/9.56 | (369) ~ (all_0_41_41 = e2) % 33.80/9.56 | % 33.80/9.56 | Equations (368) can reduce 37 to: % 33.80/9.56 | (257) ~ (all_0_50_50 = e2) % 33.80/9.56 | % 33.80/9.56 | Simplifying 257 yields: % 33.80/9.56 | (258) ~ (all_0_50_50 = e2) % 33.80/9.56 | % 33.80/9.56 | Equations (368) can reduce 160 to: % 33.80/9.56 | (372) ~ (all_0_51_51 = e2) % 33.80/9.56 | % 33.80/9.56 | Simplifying 372 yields: % 33.80/9.56 | (373) ~ (all_0_51_51 = e2) % 33.80/9.56 | % 33.80/9.56 | Equations (368) can reduce 7 to: % 33.80/9.56 | (374) ~ (all_0_53_53 = e2) % 33.80/9.56 | % 33.80/9.56 | Simplifying 374 yields: % 33.80/9.56 | (274) ~ (all_0_53_53 = e2) % 33.80/9.56 | % 33.80/9.56 | Equations (368) can reduce 215 to: % 33.80/9.56 | (261) ~ (e4 = e2) % 33.80/9.56 | % 33.80/9.56 | Simplifying 261 yields: % 33.80/9.56 | (231) ~ (e4 = e2) % 33.80/9.56 | % 33.80/9.56 | From (368) and (113) follows: % 33.80/9.56 | (3212) op(e2, e2) = all_0_17_17 % 33.80/9.56 | % 33.80/9.56 +-Applying beta-rule and splitting (150), into two cases. % 33.80/9.56 |-Branch one: % 33.80/9.56 | (398) all_0_41_41 = e0 % 33.80/9.56 | % 33.80/9.56 | Equations (398) can reduce 326 to: % 33.80/9.56 | (303) $false % 33.80/9.56 | % 33.80/9.56 |-The branch is then unsatisfiable % 33.80/9.56 |-Branch two: % 33.80/9.56 | (326) ~ (all_0_41_41 = e0) % 33.80/9.56 | (401) all_0_49_49 = e0 | all_0_57_57 = e0 % 33.80/9.56 | % 33.80/9.56 +-Applying beta-rule and splitting (401), into two cases. % 33.80/9.56 |-Branch one: % 33.80/9.56 | (384) all_0_49_49 = e0 % 33.80/9.56 | % 33.80/9.56 | Combining equations (384,368) yields a new equation: % 33.80/9.56 | (385) e2 = e0 % 33.80/9.56 | % 33.80/9.56 | Equations (385) can reduce 51 to: % 33.80/9.56 | (303) $false % 33.80/9.56 | % 33.80/9.56 |-The branch is then unsatisfiable % 33.80/9.56 |-Branch two: % 33.80/9.56 | (387) ~ (all_0_49_49 = e0) % 33.80/9.56 | (407) all_0_57_57 = e0 % 33.80/9.56 | % 33.80/9.56 | Equations (407) can reduce 11 to: % 33.80/9.56 | (326) ~ (all_0_41_41 = e0) % 33.80/9.56 | % 33.80/9.56 | Equations (407) can reduce 251 to: % 33.80/9.56 | (140) ~ (all_0_53_53 = e0) % 33.80/9.56 | % 33.80/9.56 | Equations (407) can reduce 172 to: % 33.80/9.56 | (296) ~ (all_0_56_56 = e0) % 33.80/9.56 | % 33.80/9.56 | Equations (407) can reduce 81 to: % 33.80/9.56 | (413) ~ (all_0_60_60 = e0) % 33.80/9.56 | % 33.80/9.56 | Simplifying 413 yields: % 33.80/9.56 | (414) ~ (all_0_60_60 = e0) % 33.80/9.56 | % 33.80/9.56 | Equations (407) can reduce 202 to: % 33.80/9.56 | (297) ~ (e4 = e0) % 33.80/9.56 | % 33.80/9.56 | Simplifying 297 yields: % 33.80/9.56 | (4) ~ (e4 = e0) % 33.80/9.56 | % 33.80/9.56 | From (407) and (35) follows: % 33.80/9.56 | (419) op(e0, e3) = all_0_34_34 % 33.80/9.56 | % 33.80/9.56 | From (407) and (205) follows: % 33.80/9.57 | (15376) op(e0, e0) = all_0_33_33 % 33.80/9.57 | % 33.80/9.57 | From (407) and (5) follows: % 33.80/9.57 | (420) op(e0, e3) = e0 % 33.80/9.57 | % 33.80/9.57 +-Applying beta-rule and splitting (41), into two cases. % 33.80/9.57 |-Branch one: % 33.80/9.57 | (2834) all_0_40_40 = e0 % 33.80/9.57 | % 33.80/9.57 | Equations (2834) can reduce 288 to: % 33.80/9.57 | (303) $false % 33.80/9.57 | % 33.80/9.57 |-The branch is then unsatisfiable % 33.80/9.57 |-Branch two: % 33.80/9.57 | (288) ~ (all_0_40_40 = e0) % 33.80/9.57 | (6377) all_0_45_45 = e0 | all_0_48_48 = e0 | all_0_56_56 = e0 % 33.80/9.57 | % 33.80/9.57 +-Applying beta-rule and splitting (6377), into two cases. % 33.80/9.57 |-Branch one: % 33.80/9.57 | (287) all_0_45_45 = e0 % 33.80/9.57 | % 33.80/9.57 | Combining equations (493,287) yields a new equation: % 33.80/9.57 | (496) e3 = e0 % 33.80/9.57 | % 33.80/9.57 | Simplifying 496 yields: % 33.80/9.57 | (497) e3 = e0 % 33.80/9.57 | % 33.80/9.57 | Equations (497) can reduce 70 to: % 33.80/9.57 | (303) $false % 33.80/9.57 | % 33.80/9.57 |-The branch is then unsatisfiable % 33.80/9.57 |-Branch two: % 33.80/9.57 | (534) ~ (all_0_45_45 = e0) % 33.80/9.57 | (6383) all_0_48_48 = e0 | all_0_56_56 = e0 % 33.80/9.57 | % 33.80/9.57 +-Applying beta-rule and splitting (67), into two cases. % 33.80/9.57 |-Branch one: % 33.80/9.57 | (380) all_0_48_48 = e0 % 33.80/9.57 | % 33.80/9.57 | Equations (380) can reduce 53 to: % 33.80/9.57 | (288) ~ (all_0_40_40 = e0) % 33.80/9.57 | % 33.80/9.57 | Equations (380) can reduce 48 to: % 33.80/9.57 | (6386) ~ (all_0_50_50 = e0) % 33.80/9.57 | % 33.80/9.57 | Simplifying 6386 yields: % 33.80/9.57 | (207) ~ (all_0_50_50 = e0) % 33.80/9.57 | % 33.80/9.57 | Equations (380) can reduce 127 to: % 33.80/9.57 | (5945) ~ (all_0_51_51 = e0) % 33.80/9.57 | % 33.80/9.57 | Simplifying 5945 yields: % 33.80/9.57 | (2347) ~ (all_0_51_51 = e0) % 33.80/9.57 | % 33.80/9.57 | Equations (380) can reduce 108 to: % 33.80/9.57 | (293) ~ (all_0_52_52 = e0) % 33.80/9.57 | % 33.80/9.57 | Simplifying 293 yields: % 33.80/9.57 | (78) ~ (all_0_52_52 = e0) % 33.80/9.57 | % 33.80/9.57 | Equations (380) can reduce 2 to: % 33.80/9.57 | (295) ~ (all_0_56_56 = e0) % 33.80/9.57 | % 33.80/9.57 | Simplifying 295 yields: % 33.80/9.57 | (296) ~ (all_0_56_56 = e0) % 33.80/9.57 | % 33.80/9.57 | From (380) and (187) follows: % 33.80/9.57 | (6396) op(e0, e4) = all_0_16_16 % 33.80/9.57 | % 33.80/9.57 | From (380) and (103) follows: % 33.80/9.57 | (6397) op(e0, e2) = all_0_15_15 % 33.80/9.57 | % 33.80/9.57 | From (380) and (105) follows: % 33.80/9.57 | (9697) op(e2, e4) = e0 % 33.80/9.57 | % 33.80/9.57 | Instantiating formula (29) with e2, e2, all_0_17_17, e3 and discharging atoms op(e2, e2) = all_0_17_17, op(e2, e2) = e3, yields: % 33.80/9.57 | (3246) all_0_17_17 = e3 % 33.80/9.57 | % 33.80/9.57 | Instantiating formula (29) with e0, e4, all_0_16_16, all_0_56_56 and discharging atoms op(e0, e4) = all_0_16_16, op(e0, e4) = all_0_56_56, yields: % 33.80/9.57 | (6399) all_0_16_16 = all_0_56_56 % 33.80/9.57 | % 33.80/9.57 | Instantiating formula (29) with e0, e3, e0, all_0_34_34 and discharging atoms op(e0, e3) = all_0_34_34, op(e0, e3) = e0, yields: % 33.80/9.57 | (421) all_0_34_34 = e0 % 33.80/9.57 | % 33.80/9.57 | Instantiating formula (29) with e0, e2, all_0_15_15, e2 and discharging atoms op(e0, e2) = all_0_15_15, op(e0, e2) = e2, yields: % 33.80/9.57 | (2624) all_0_15_15 = e2 % 33.80/9.57 | % 33.80/9.57 | Instantiating formula (29) with e0, e0, all_0_33_33, all_0_60_60 and discharging atoms op(e0, e0) = all_0_33_33, op(e0, e0) = all_0_60_60, yields: % 33.80/9.57 | (15405) all_0_33_33 = all_0_60_60 % 33.80/9.57 | % 33.80/9.57 | From (3246) and (3212) follows: % 33.80/9.57 | (83) op(e2, e2) = e3 % 33.80/9.57 | % 33.80/9.57 | From (6399) and (6396) follows: % 33.80/9.57 | (132) op(e0, e4) = all_0_56_56 % 33.80/9.57 | % 33.80/9.57 | From (421) and (419) follows: % 33.80/9.57 | (420) op(e0, e3) = e0 % 33.80/9.57 | % 33.80/9.57 | From (2624) and (6397) follows: % 33.80/9.57 | (663) op(e0, e2) = e2 % 33.80/9.57 | % 33.80/9.57 | From (15405) and (15376) follows: % 33.80/9.57 | (170) op(e0, e0) = all_0_60_60 % 33.80/9.57 | % 33.80/9.57 +-Applying beta-rule and splitting (91), into two cases. % 33.80/9.57 |-Branch one: % 33.80/9.57 | (980) all_0_52_52 = e2 % 33.80/9.57 | % 33.80/9.57 | Equations (980) can reduce 77 to: % 33.80/9.57 | (374) ~ (all_0_53_53 = e2) % 33.80/9.57 | % 33.80/9.57 | Simplifying 374 yields: % 33.80/9.57 | (274) ~ (all_0_53_53 = e2) % 33.80/9.57 | % 33.80/9.57 | Equations (980) can reduce 169 to: % 33.80/9.57 | (275) ~ (all_0_55_55 = e2) % 33.80/9.57 | % 33.80/9.57 | Simplifying 275 yields: % 33.80/9.57 | (276) ~ (all_0_55_55 = e2) % 33.80/9.57 | % 33.80/9.57 | Equations (980) can reduce 149 to: % 33.80/9.57 | (2174) ~ (all_0_56_56 = e2) % 33.80/9.57 | % 33.80/9.57 | Simplifying 2174 yields: % 33.80/9.57 | (594) ~ (all_0_56_56 = e2) % 33.80/9.57 | % 33.80/9.57 | Equations (980) can reduce 445 to: % 33.80/9.57 | (261) ~ (e4 = e2) % 33.80/9.57 | % 33.80/9.57 | Simplifying 261 yields: % 33.80/9.57 | (231) ~ (e4 = e2) % 33.80/9.57 | % 33.80/9.57 | Equations (980) can reduce 521 to: % 33.80/9.57 | (577) ~ (e3 = e2) % 33.80/9.57 | % 33.80/9.57 | Simplifying 577 yields: % 33.80/9.57 | (223) ~ (e3 = e2) % 33.80/9.57 | % 33.80/9.57 | Equations (980) can reduce 78 to: % 33.80/9.57 | (51) ~ (e2 = e0) % 33.80/9.57 | % 33.80/9.57 | From (980) and (45) follows: % 33.80/9.57 | (13962) op(e2, e4) = all_0_24_24 % 33.80/9.57 | % 33.80/9.57 | From (980) and (156) follows: % 33.80/9.57 | (13963) op(e2, e1) = all_0_23_23 % 33.80/9.57 | % 33.80/9.57 | From (980) and (152) follows: % 33.80/9.57 | (13964) op(e1, e4) = e2 % 33.80/9.57 | % 33.80/9.57 +-Applying beta-rule and splitting (112), into two cases. % 33.80/9.57 |-Branch one: % 33.80/9.57 | (572) all_0_44_44 = e2 % 33.80/9.57 | % 33.80/9.57 | Equations (572) can reduce 124 to: % 33.80/9.57 | (939) ~ (all_0_40_40 = e2) % 33.80/9.57 | % 33.80/9.57 | Equations (572) can reduce 176 to: % 33.80/9.57 | (369) ~ (all_0_41_41 = e2) % 33.80/9.57 | % 33.80/9.57 | Equations (572) can reduce 82 to: % 33.80/9.57 | (253) ~ (all_0_43_43 = e2) % 33.80/9.57 | % 33.80/9.57 | Equations (572) can reduce 161 to: % 33.80/9.57 | (372) ~ (all_0_51_51 = e2) % 33.80/9.57 | % 33.80/9.57 | Simplifying 372 yields: % 33.80/9.57 | (373) ~ (all_0_51_51 = e2) % 33.80/9.57 | % 33.80/9.57 | Equations (572) can reduce 59 to: % 33.80/9.57 | (275) ~ (all_0_55_55 = e2) % 33.80/9.57 | % 33.80/9.57 | Simplifying 275 yields: % 33.80/9.57 | (276) ~ (all_0_55_55 = e2) % 33.80/9.57 | % 33.80/9.57 | Equations (572) can reduce 165 to: % 33.80/9.57 | (573) ~ (all_0_60_60 = e2) % 33.80/9.57 | % 33.80/9.57 | Simplifying 573 yields: % 33.80/9.57 | (571) ~ (all_0_60_60 = e2) % 33.80/9.57 | % 33.80/9.57 | Equations (572) can reduce 330 to: % 33.80/9.57 | (51) ~ (e2 = e0) % 33.80/9.57 | % 33.80/9.57 | From (572) and (235) follows: % 33.80/9.57 | (11400) op(e2, e4) = all_0_7_7 % 33.80/9.57 | % 33.80/9.57 | From (572) and (128) follows: % 33.80/9.57 | (11401) op(e2, e0) = all_0_8_8 % 33.80/9.57 | % 33.80/9.57 | From (572) and (107) follows: % 33.80/9.57 | (14007) op(e4, e0) = e2 % 33.80/9.57 | % 33.80/9.57 | Instantiating formula (29) with e2, e4, all_0_7_7, e0 and discharging atoms op(e2, e4) = all_0_7_7, op(e2, e4) = e0, yields: % 33.80/9.58 | (15440) all_0_7_7 = e0 % 33.80/9.58 | % 33.80/9.58 | Instantiating formula (29) with e2, e4, all_0_24_24, all_0_7_7 and discharging atoms op(e2, e4) = all_0_7_7, op(e2, e4) = all_0_24_24, yields: % 33.80/9.58 | (2618) all_0_7_7 = all_0_24_24 % 33.80/9.58 | % 33.80/9.58 | Instantiating formula (29) with e2, e1, all_0_23_23, all_0_50_50 and discharging atoms op(e2, e1) = all_0_23_23, op(e2, e1) = all_0_50_50, yields: % 33.80/9.58 | (13982) all_0_23_23 = all_0_50_50 % 33.80/9.58 | % 33.80/9.58 | Instantiating formula (29) with e2, e0, all_0_8_8, all_0_51_51 and discharging atoms op(e2, e0) = all_0_8_8, op(e2, e0) = all_0_51_51, yields: % 33.80/9.58 | (15443) all_0_8_8 = all_0_51_51 % 33.80/9.58 | % 33.80/9.58 | Combining equations (15440,2618) yields a new equation: % 33.80/9.58 | (3590) all_0_24_24 = e0 % 33.80/9.58 | % 33.80/9.58 | Combining equations (3590,2618) yields a new equation: % 33.80/9.58 | (15440) all_0_7_7 = e0 % 33.80/9.58 | % 33.80/9.58 | From (3590) and (13962) follows: % 33.80/9.58 | (9697) op(e2, e4) = e0 % 33.80/9.58 | % 33.80/9.58 | From (13982) and (13963) follows: % 33.87/9.58 | (186) op(e2, e1) = all_0_50_50 % 33.87/9.58 | % 33.87/9.58 | From (15443) and (11401) follows: % 33.87/9.58 | (66) op(e2, e0) = all_0_51_51 % 33.87/9.58 | % 33.87/9.58 +-Applying beta-rule and splitting (64), into two cases. % 33.87/9.58 |-Branch one: % 33.87/9.58 | (425) all_0_52_52 = e3 % 33.87/9.58 | % 33.87/9.58 | Combining equations (980,425) yields a new equation: % 33.87/9.58 | (453) e3 = e2 % 33.87/9.58 | % 33.87/9.58 | Equations (453) can reduce 223 to: % 33.87/9.58 | (303) $false % 33.87/9.58 | % 33.87/9.58 |-The branch is then unsatisfiable % 33.87/9.58 |-Branch two: % 33.87/9.58 | (521) ~ (all_0_52_52 = e3) % 33.87/9.58 | (1006) all_0_53_53 = e3 | all_0_55_55 = e3 % 33.87/9.58 | % 33.87/9.58 | Equations (980) can reduce 521 to: % 33.87/9.58 | (577) ~ (e3 = e2) % 33.87/9.58 | % 33.87/9.58 | Simplifying 577 yields: % 33.87/9.58 | (223) ~ (e3 = e2) % 33.87/9.58 | % 33.87/9.58 +-Applying beta-rule and splitting (85), into two cases. % 33.87/9.58 |-Branch one: % 33.87/9.58 | (1070) all_0_52_52 = e1 % 33.87/9.58 | % 33.87/9.58 | Combining equations (980,1070) yields a new equation: % 33.87/9.58 | (584) e2 = e1 % 33.87/9.58 | % 33.87/9.58 | Simplifying 584 yields: % 33.87/9.58 | (585) e2 = e1 % 33.87/9.58 | % 33.87/9.58 | Equations (585) can reduce 144 to: % 33.87/9.58 | (303) $false % 33.87/9.58 | % 33.87/9.58 |-The branch is then unsatisfiable % 33.87/9.58 |-Branch two: % 33.87/9.58 | (502) ~ (all_0_52_52 = e1) % 33.87/9.58 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 33.87/9.58 | % 33.87/9.58 +-Applying beta-rule and splitting (234), into two cases. % 33.87/9.58 |-Branch one: % 33.87/9.58 | (609) all_0_48_48 = e4 % 33.87/9.58 | % 33.87/9.58 | Combining equations (609,380) yields a new equation: % 33.87/9.58 | (1573) e4 = e0 % 33.87/9.58 | % 33.87/9.58 | Simplifying 1573 yields: % 33.87/9.58 | (654) e4 = e0 % 33.87/9.58 | % 33.87/9.58 | Equations (654) can reduce 4 to: % 33.87/9.58 | (303) $false % 33.87/9.58 | % 33.87/9.58 |-The branch is then unsatisfiable % 33.87/9.58 |-Branch two: % 33.87/9.58 | (721) ~ (all_0_48_48 = e4) % 33.87/9.58 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 33.87/9.58 | % 33.87/9.58 | Equations (380) can reduce 721 to: % 33.87/9.58 | (297) ~ (e4 = e0) % 33.87/9.58 | % 33.87/9.58 | Simplifying 297 yields: % 33.87/9.58 | (4) ~ (e4 = e0) % 33.87/9.58 | % 33.87/9.58 +-Applying beta-rule and splitting (137), into two cases. % 33.87/9.58 |-Branch one: % 33.87/9.58 | (447) all_0_43_43 = e3 % 33.87/9.58 | % 33.87/9.58 | Equations (447) can reduce 43 to: % 33.87/9.58 | (996) ~ (all_0_41_41 = e3) % 33.87/9.58 | % 33.87/9.58 | Equations (447) can reduce 238 to: % 33.87/9.58 | (9726) ~ (all_0_50_50 = e3) % 33.87/9.58 | % 33.87/9.58 | Simplifying 9726 yields: % 33.87/9.58 | (15) ~ (all_0_50_50 = e3) % 33.87/9.58 | % 33.87/9.58 | Equations (447) can reduce 117 to: % 33.87/9.58 | (70) ~ (e3 = e0) % 33.87/9.58 | % 33.87/9.58 | From (447) and (99) follows: % 33.87/9.58 | (3298) op(e3, e1) = all_0_6_6 % 33.87/9.58 | % 33.87/9.58 | From (447) and (19) follows: % 33.87/9.58 | (3299) op(e4, e1) = e3 % 33.87/9.58 | % 33.87/9.58 +-Applying beta-rule and splitting (237), into two cases. % 33.87/9.58 |-Branch one: % 33.87/9.58 | (431) all_0_41_41 = e3 % 33.87/9.58 | % 33.87/9.58 | Equations (431) can reduce 996 to: % 33.87/9.58 | (303) $false % 33.87/9.58 | % 33.87/9.58 |-The branch is then unsatisfiable % 33.87/9.58 |-Branch two: % 33.87/9.58 | (996) ~ (all_0_41_41 = e3) % 33.87/9.58 | (997) all_0_53_53 = e3 | all_0_57_57 = e3 % 33.87/9.58 | % 33.87/9.58 +-Applying beta-rule and splitting (180), into two cases. % 33.87/9.58 |-Branch one: % 33.87/9.58 | (945) all_0_41_41 = e2 % 33.87/9.58 | % 33.87/9.58 | Equations (945) can reduce 369 to: % 33.87/9.58 | (303) $false % 33.87/9.58 | % 33.87/9.58 |-The branch is then unsatisfiable % 33.87/9.58 |-Branch two: % 33.87/9.58 | (369) ~ (all_0_41_41 = e2) % 33.87/9.58 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 33.87/9.58 | % 33.87/9.58 +-Applying beta-rule and splitting (21), into two cases. % 33.87/9.58 |-Branch one: % 33.87/9.58 | (723) all_0_40_40 = e4 % 33.87/9.58 | % 33.87/9.58 | Equations (723) can reduce 57 to: % 33.87/9.58 | (2280) ~ (all_0_56_56 = e4) % 33.87/9.58 | % 33.87/9.58 | Simplifying 2280 yields: % 33.87/9.58 | (345) ~ (all_0_56_56 = e4) % 33.87/9.58 | % 33.87/9.58 +-Applying beta-rule and splitting (175), into two cases. % 33.87/9.58 |-Branch one: % 33.87/9.58 | (624) all_0_40_40 = e1 % 33.87/9.58 | % 33.87/9.58 | Combining equations (723,624) yields a new equation: % 33.87/9.58 | (540) e4 = e1 % 33.87/9.58 | % 33.87/9.58 | Simplifying 540 yields: % 33.87/9.58 | (541) e4 = e1 % 33.87/9.58 | % 33.87/9.58 | Equations (541) can reduce 247 to: % 33.87/9.58 | (303) $false % 33.87/9.58 | % 33.87/9.58 |-The branch is then unsatisfiable % 33.87/9.58 |-Branch two: % 33.87/9.58 | (683) ~ (all_0_40_40 = e1) % 33.87/9.58 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 33.87/9.58 | % 33.87/9.58 +-Applying beta-rule and splitting (997), into two cases. % 33.87/9.58 |-Branch one: % 33.87/9.58 | (994) all_0_53_53 = e3 % 33.87/9.58 | % 33.87/9.58 | Equations (994) can reduce 121 to: % 33.87/9.58 | (996) ~ (all_0_41_41 = e3) % 33.87/9.58 | % 33.87/9.58 | Equations (994) can reduce 274 to: % 33.87/9.58 | (223) ~ (e3 = e2) % 33.87/9.58 | % 33.87/9.58 | Equations (994) can reduce 140 to: % 33.87/9.58 | (70) ~ (e3 = e0) % 33.87/9.58 | % 33.87/9.58 | From (994) and (242) follows: % 33.87/9.58 | (2592) op(e3, e3) = all_0_26_26 % 33.87/9.58 | % 33.87/9.58 | From (994) and (224) follows: % 33.87/9.58 | (650) op(e1, e3) = e3 % 33.87/9.58 | % 33.87/9.58 +-Applying beta-rule and splitting (195), into two cases. % 33.87/9.58 |-Branch one: % 33.87/9.58 | (2081) all_0_44_44 = e3 % 33.87/9.58 | % 33.87/9.58 | Combining equations (572,2081) yields a new equation: % 33.87/9.58 | (453) e3 = e2 % 33.87/9.58 | % 33.87/9.58 | Equations (453) can reduce 223 to: % 33.87/9.58 | (303) $false % 33.87/9.58 | % 33.87/9.58 |-The branch is then unsatisfiable % 33.87/9.58 |-Branch two: % 33.87/9.58 | (310) ~ (all_0_44_44 = e3) % 33.87/9.58 | (7006) all_0_47_47 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 33.87/9.58 | % 33.87/9.58 +-Applying beta-rule and splitting (7006), into two cases. % 33.87/9.58 |-Branch one: % 33.87/9.58 | (309) all_0_47_47 = e3 % 33.87/9.58 | % 33.87/9.58 | Combining equations (306,309) yields a new equation: % 33.87/9.58 | (497) e3 = e0 % 33.87/9.58 | % 33.87/9.58 | Equations (497) can reduce 70 to: % 33.87/9.58 | (303) $false % 33.87/9.58 | % 33.87/9.58 |-The branch is then unsatisfiable % 33.87/9.58 |-Branch two: % 33.87/9.58 | (516) ~ (all_0_47_47 = e3) % 33.87/9.58 | (7012) all_0_55_55 = e3 | all_0_60_60 = e3 % 33.87/9.58 | % 33.87/9.58 +-Applying beta-rule and splitting (1073), into two cases. % 33.87/9.58 |-Branch one: % 33.87/9.58 | (462) all_0_53_53 = e1 % 33.87/9.58 | % 33.87/9.58 | Combining equations (462,994) yields a new equation: % 33.87/9.58 | (601) e3 = e1 % 33.87/9.58 | % 33.87/9.58 | Equations (601) can reduce 136 to: % 33.87/9.58 | (303) $false % 33.87/9.58 | % 33.87/9.58 |-The branch is then unsatisfiable % 33.87/9.58 |-Branch two: % 33.87/9.58 | (509) ~ (all_0_53_53 = e1) % 33.87/9.58 | (530) all_0_55_55 = e1 % 33.87/9.58 | % 33.87/9.58 | Equations (530) can reduce 159 to: % 33.87/9.58 | (1050) ~ (all_0_60_60 = e1) % 33.87/9.58 | % 33.87/9.58 | Simplifying 1050 yields: % 33.87/9.58 | (501) ~ (all_0_60_60 = e1) % 33.87/9.58 | % 33.87/9.58 | From (530) and (155) follows: % 33.87/9.58 | (15517) op(e1, e1) = all_0_29_29 % 33.87/9.58 | % 33.87/9.58 +-Applying beta-rule and splitting (1017), into two cases. % 33.87/9.58 |-Branch one: % 33.87/9.58 | (696) all_0_41_41 = e1 % 33.87/9.58 | % 33.87/9.58 | Equations (696) can reduce 996 to: % 33.87/9.58 | (465) ~ (e3 = e1) % 33.87/9.58 | % 33.87/9.58 | Simplifying 465 yields: % 33.87/9.58 | (136) ~ (e3 = e1) % 33.87/9.58 | % 33.87/9.58 | Equations (696) can reduce 369 to: % 33.87/9.58 | (565) ~ (e2 = e1) % 33.87/9.58 | % 33.87/9.58 | Simplifying 565 yields: % 33.87/9.58 | (144) ~ (e2 = e1) % 33.87/9.58 | % 33.87/9.58 | Equations (696) can reduce 326 to: % 33.87/9.58 | (134) ~ (e1 = e0) % 33.87/9.58 | % 33.87/9.58 | From (696) and (211) follows: % 33.87/9.59 | (6426) op(e1, e4) = all_0_1_1 % 33.87/9.59 | % 33.87/9.59 | From (696) and (26) follows: % 33.87/9.59 | (13268) op(e1, e3) = all_0_2_2 % 33.87/9.59 | % 33.87/9.59 +-Applying beta-rule and splitting (7012), into two cases. % 33.87/9.59 |-Branch one: % 33.87/9.59 | (2165) all_0_55_55 = e3 % 33.87/9.59 | % 33.87/9.59 | Combining equations (530,2165) yields a new equation: % 33.87/9.59 | (601) e3 = e1 % 33.87/9.59 | % 33.87/9.59 | Equations (601) can reduce 136 to: % 33.87/9.59 | (303) $false % 33.87/9.59 | % 33.87/9.59 |-The branch is then unsatisfiable % 33.87/9.59 |-Branch two: % 33.87/9.59 | (314) ~ (all_0_55_55 = e3) % 33.87/9.59 | (1937) all_0_60_60 = e3 % 33.87/9.59 | % 33.87/9.59 | Equations (1937) can reduce 95 to: % 33.87/9.59 | (32) ~ (all_0_51_51 = e3) % 33.87/9.59 | % 33.87/9.59 | Equations (1937) can reduce 174 to: % 33.87/9.59 | (526) ~ (all_0_56_56 = e3) % 33.87/9.59 | % 33.87/9.59 | Equations (1937) can reduce 164 to: % 33.87/9.59 | (1031) ~ (all_0_59_59 = e3) % 33.87/9.59 | % 33.87/9.59 | Equations (1937) can reduce 501 to: % 33.87/9.59 | (136) ~ (e3 = e1) % 33.87/9.59 | % 33.87/9.59 | Equations (1937) can reduce 414 to: % 33.87/9.59 | (70) ~ (e3 = e0) % 33.87/9.59 | % 33.87/9.59 +-Applying beta-rule and splitting (166), into two cases. % 33.87/9.59 |-Branch one: % 33.87/9.59 | (927) all_0_51_51 = e2 % 33.87/9.59 | % 33.87/9.59 | Equations (927) can reduce 373 to: % 33.87/9.59 | (303) $false % 33.87/9.59 | % 33.87/9.59 |-The branch is then unsatisfiable % 33.87/9.59 |-Branch two: % 33.87/9.59 | (373) ~ (all_0_51_51 = e2) % 33.87/9.59 | (6448) all_0_51_51 = e4 | all_0_51_51 = e1 | all_0_51_51 = e0 % 33.87/9.59 | % 33.87/9.59 +-Applying beta-rule and splitting (243), into two cases. % 33.87/9.59 |-Branch one: % 33.87/9.59 | (877) all_0_56_56 = e4 % 33.87/9.59 | % 33.87/9.59 | Equations (877) can reduce 345 to: % 33.87/9.59 | (303) $false % 33.87/9.59 | % 33.87/9.59 |-The branch is then unsatisfiable % 33.87/9.59 |-Branch two: % 33.87/9.59 | (345) ~ (all_0_56_56 = e4) % 33.87/9.59 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 33.87/9.59 | % 33.87/9.59 +-Applying beta-rule and splitting (684), into two cases. % 33.87/9.59 |-Branch one: % 33.87/9.59 | (748) all_0_48_48 = e1 % 33.87/9.59 | % 33.87/9.59 | Combining equations (748,380) yields a new equation: % 33.87/9.59 | (670) e1 = e0 % 33.87/9.59 | % 33.87/9.59 | Simplifying 670 yields: % 33.87/9.59 | (590) e1 = e0 % 33.87/9.59 | % 33.87/9.59 | Equations (590) can reduce 134 to: % 33.87/9.59 | (303) $false % 33.87/9.59 | % 33.87/9.59 |-The branch is then unsatisfiable % 33.87/9.59 |-Branch two: % 33.87/9.59 | (802) ~ (all_0_48_48 = e1) % 33.87/9.59 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 33.87/9.59 | % 33.87/9.59 +-Applying beta-rule and splitting (6448), into two cases. % 33.87/9.59 |-Branch one: % 33.87/9.59 | (1501) all_0_51_51 = e4 % 33.87/9.59 | % 33.87/9.59 | Equations (1501) can reduce 171 to: % 33.87/9.59 | (611) ~ (all_0_50_50 = e4) % 33.87/9.59 | % 33.87/9.59 | Equations (1501) can reduce 32 to: % 33.87/9.59 | (30) ~ (e4 = e3) % 33.87/9.59 | % 33.87/9.59 | From (1501) and (122) follows: % 33.87/9.59 | (10153) op(e4, e2) = all_0_21_21 % 33.87/9.59 | % 33.87/9.59 +-Applying beta-rule and splitting (139), into two cases. % 33.87/9.59 |-Branch one: % 33.87/9.59 | (614) all_0_43_43 = e4 % 33.87/9.59 | % 33.87/9.59 | Combining equations (447,614) yields a new equation: % 33.87/9.59 | (443) e4 = e3 % 33.87/9.59 | % 33.87/9.59 | Equations (443) can reduce 30 to: % 33.87/9.59 | (303) $false % 33.87/9.59 | % 33.87/9.59 |-The branch is then unsatisfiable % 33.87/9.59 |-Branch two: % 33.87/9.59 | (712) ~ (all_0_43_43 = e4) % 33.87/9.59 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 33.87/9.59 | % 33.87/9.59 +-Applying beta-rule and splitting (367), into two cases. % 33.87/9.59 |-Branch one: % 33.87/9.59 | (714) all_0_50_50 = e4 % 33.87/9.59 | % 33.87/9.59 | Equations (714) can reduce 611 to: % 33.87/9.59 | (303) $false % 33.87/9.59 | % 33.87/9.59 |-The branch is then unsatisfiable % 33.87/9.59 |-Branch two: % 33.87/9.59 | (611) ~ (all_0_50_50 = e4) % 33.87/9.59 | (627) all_0_50_50 = e1 % 33.87/9.59 | % 33.87/9.59 | Combining equations (627,268) yields a new equation: % 33.87/9.59 | (3272) all_0_12_12 = e1 % 33.87/9.59 | % 33.87/9.59 | Equations (627) can reduce 126 to: % 33.87/9.59 | (3274) ~ (all_0_59_59 = e1) % 33.87/9.59 | % 33.87/9.59 | Simplifying 3274 yields: % 33.87/9.59 | (603) ~ (all_0_59_59 = e1) % 33.87/9.59 | % 33.87/9.59 | Equations (627) can reduce 611 to: % 33.87/9.59 | (605) ~ (e4 = e1) % 33.87/9.59 | % 33.87/9.59 | Simplifying 605 yields: % 33.87/9.59 | (247) ~ (e4 = e1) % 33.87/9.59 | % 33.87/9.59 | Equations (627) can reduce 15 to: % 33.87/9.59 | (465) ~ (e3 = e1) % 33.87/9.59 | % 33.87/9.59 | Simplifying 465 yields: % 33.87/9.59 | (136) ~ (e3 = e1) % 33.87/9.59 | % 33.87/9.59 | Equations (627) can reduce 207 to: % 33.87/9.59 | (134) ~ (e1 = e0) % 33.87/9.59 | % 33.87/9.59 | From (627) and (110) follows: % 33.87/9.59 | (3278) op(e1, e1) = all_0_20_20 % 33.87/9.59 | % 33.87/9.59 +-Applying beta-rule and splitting (245), into two cases. % 33.87/9.59 |-Branch one: % 33.87/9.59 | (583) all_0_56_56 = e1 % 33.87/9.59 | % 33.87/9.59 | Combining equations (583,6399) yields a new equation: % 33.87/9.59 | (15573) all_0_16_16 = e1 % 33.87/9.59 | % 33.87/9.59 | Equations (583) can reduce 42 to: % 33.87/9.59 | (3274) ~ (all_0_59_59 = e1) % 33.87/9.59 | % 33.87/9.59 | Simplifying 3274 yields: % 33.87/9.59 | (603) ~ (all_0_59_59 = e1) % 33.87/9.59 | % 33.87/9.59 | Equations (583) can reduce 345 to: % 33.87/9.59 | (605) ~ (e4 = e1) % 33.87/9.59 | % 33.87/9.59 | Simplifying 605 yields: % 33.87/9.59 | (247) ~ (e4 = e1) % 33.87/9.59 | % 33.87/9.59 | Equations (583) can reduce 526 to: % 33.87/9.59 | (465) ~ (e3 = e1) % 33.87/9.59 | % 33.87/9.59 | Simplifying 465 yields: % 33.87/9.59 | (136) ~ (e3 = e1) % 33.87/9.59 | % 33.87/9.59 | Equations (583) can reduce 594 to: % 33.87/9.59 | (565) ~ (e2 = e1) % 33.87/9.59 | % 33.87/9.59 | Simplifying 565 yields: % 33.87/9.59 | (144) ~ (e2 = e1) % 33.87/9.59 | % 33.87/9.59 | Equations (583) can reduce 296 to: % 33.87/9.59 | (134) ~ (e1 = e0) % 33.87/9.59 | % 33.87/9.59 | From (583) and (185) follows: % 33.87/9.59 | (3485) op(e1, e4) = all_0_32_32 % 33.87/9.59 | % 33.87/9.59 +-Applying beta-rule and splitting (713), into two cases. % 33.87/9.59 |-Branch one: % 33.87/9.59 | (714) all_0_50_50 = e4 % 33.87/9.59 | % 33.87/9.59 | Combining equations (627,714) yields a new equation: % 33.87/9.59 | (541) e4 = e1 % 33.87/9.59 | % 33.87/9.59 | Equations (541) can reduce 247 to: % 33.87/9.59 | (303) $false % 33.87/9.59 | % 33.87/9.59 |-The branch is then unsatisfiable % 33.87/9.59 |-Branch two: % 33.87/9.59 | (611) ~ (all_0_50_50 = e4) % 33.87/9.59 | (717) all_0_59_59 = e4 % 33.87/9.59 | % 33.87/9.59 | Equations (717) can reduce 1031 to: % 33.87/9.59 | (30) ~ (e4 = e3) % 33.87/9.59 | % 33.87/9.59 | Equations (717) can reduce 260 to: % 33.87/9.59 | (231) ~ (e4 = e2) % 33.87/9.59 | % 33.87/9.59 | Equations (717) can reduce 603 to: % 33.87/9.59 | (247) ~ (e4 = e1) % 33.87/9.59 | % 33.87/9.59 | From (717) and (33) follows: % 33.87/9.59 | (3321) op(e4, e1) = all_0_38_38 % 33.87/9.59 | % 33.87/9.59 | Instantiating formula (29) with e4, e2, all_0_21_21, e0 and discharging atoms op(e4, e2) = all_0_21_21, op(e4, e2) = e0, yields: % 33.87/9.59 | (15593) all_0_21_21 = e0 % 33.87/9.59 | % 33.87/9.59 | Instantiating formula (29) with e4, e1, e3, all_0_38_38 and discharging atoms op(e4, e1) = all_0_38_38, op(e4, e1) = e3, yields: % 33.87/9.59 | (3329) all_0_38_38 = e3 % 33.87/9.59 | % 33.87/9.59 | Instantiating formula (29) with e3, e3, all_0_26_26, e4 and discharging atoms op(e3, e3) = all_0_26_26, op(e3, e3) = e4, yields: % 33.87/9.59 | (2620) all_0_26_26 = e4 % 33.87/9.59 | % 33.87/9.59 | Instantiating formula (29) with e3, e1, all_0_6_6, e2 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = e2, yields: % 33.87/9.59 | (3326) all_0_6_6 = e2 % 33.87/9.59 | % 33.87/9.59 | Instantiating formula (29) with e1, e4, all_0_1_1, e2 and discharging atoms op(e1, e4) = all_0_1_1, op(e1, e4) = e2, yields: % 33.87/9.59 | (15597) all_0_1_1 = e2 % 33.87/9.59 | % 33.87/9.59 | Instantiating formula (29) with e1, e4, all_0_32_32, all_0_1_1 and discharging atoms op(e1, e4) = all_0_1_1, op(e1, e4) = all_0_32_32, yields: % 33.87/9.59 | (11410) all_0_1_1 = all_0_32_32 % 33.87/9.59 | % 33.87/9.59 | Instantiating formula (29) with e1, e3, e3, all_0_2_2 and discharging atoms op(e1, e3) = all_0_2_2, op(e1, e3) = e3, yields: % 33.87/9.59 | (3353) all_0_2_2 = e3 % 33.87/9.59 | % 33.87/9.59 | Instantiating formula (29) with e1, e1, all_0_20_20, e0 and discharging atoms op(e1, e1) = all_0_20_20, op(e1, e1) = e0, yields: % 33.87/9.59 | (3327) all_0_20_20 = e0 % 33.87/9.59 | % 33.87/9.59 | Instantiating formula (29) with e1, e1, all_0_29_29, all_0_20_20 and discharging atoms op(e1, e1) = all_0_20_20, op(e1, e1) = all_0_29_29, yields: % 33.87/9.59 | (15601) all_0_20_20 = all_0_29_29 % 33.87/9.59 | % 33.87/9.59 | Combining equations (11410,15597) yields a new equation: % 33.87/9.59 | (15602) all_0_32_32 = e2 % 33.87/9.59 | % 33.87/9.59 | Simplifying 15602 yields: % 33.87/9.60 | (10938) all_0_32_32 = e2 % 33.87/9.60 | % 33.87/9.60 | Combining equations (3327,15601) yields a new equation: % 33.87/9.60 | (15604) all_0_29_29 = e0 % 33.87/9.60 | % 33.87/9.60 | Combining equations (15604,15601) yields a new equation: % 33.87/9.60 | (3327) all_0_20_20 = e0 % 33.87/9.60 | % 33.87/9.60 +-Applying beta-rule and splitting (181), into two cases. % 33.87/9.60 |-Branch one: % 33.87/9.60 | (3497) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_51_51 = all_0_58_58)) % 33.87/9.60 | % 33.87/9.60 +-Applying beta-rule and splitting (3497), into two cases. % 33.87/9.60 |-Branch one: % 33.87/9.60 | (3498) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57)) % 33.87/9.60 | % 33.87/9.60 +-Applying beta-rule and splitting (3498), into two cases. % 33.87/9.60 |-Branch one: % 33.87/9.60 | (3499) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) % 33.87/9.60 | % 33.87/9.60 +-Applying beta-rule and splitting (3499), into two cases. % 33.87/9.60 |-Branch one: % 33.87/9.60 | (3500) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) % 33.87/9.60 | % 33.87/9.60 +-Applying beta-rule and splitting (3500), into two cases. % 33.87/9.60 |-Branch one: % 33.87/9.60 | (3501) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) % 33.87/9.60 | % 33.87/9.60 +-Applying beta-rule and splitting (3501), into two cases. % 33.87/9.60 |-Branch one: % 33.87/9.60 | (3502) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) % 33.87/9.60 | % 33.87/9.60 +-Applying beta-rule and splitting (3502), into two cases. % 33.87/9.60 |-Branch one: % 33.87/9.60 | (3503) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) % 33.87/9.60 | % 33.87/9.60 +-Applying beta-rule and splitting (3503), into two cases. % 33.87/9.60 |-Branch one: % 33.87/9.60 | (3504) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) % 33.87/9.60 | % 33.87/9.60 +-Applying beta-rule and splitting (3504), into two cases. % 33.87/9.60 |-Branch one: % 33.87/9.60 | (3505) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) % 33.87/9.60 | % 33.87/9.60 +-Applying beta-rule and splitting (3505), into two cases. % 33.87/9.60 |-Branch one: % 33.87/9.60 | (3506) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) % 33.87/9.60 | % 33.87/9.60 +-Applying beta-rule and splitting (3506), into two cases. % 33.87/9.60 |-Branch one: % 33.87/9.60 | (3507) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) % 33.87/9.60 | % 33.87/9.60 +-Applying beta-rule and splitting (3507), into two cases. % 33.87/9.60 |-Branch one: % 33.87/9.60 | (3508) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) % 33.87/9.60 | % 33.87/9.60 +-Applying beta-rule and splitting (3508), into two cases. % 33.87/9.60 |-Branch one: % 33.87/9.60 | (3509) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) % 33.87/9.60 | % 33.87/9.60 +-Applying beta-rule and splitting (3509), into two cases. % 33.87/9.60 |-Branch one: % 33.87/9.60 | (3510) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) % 33.87/9.60 | % 33.87/9.60 +-Applying beta-rule and splitting (3510), into two cases. % 33.87/9.60 |-Branch one: % 33.87/9.60 | (3511) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) % 33.87/9.60 | % 33.87/9.60 +-Applying beta-rule and splitting (3511), into two cases. % 33.87/9.60 |-Branch one: % 33.87/9.60 | (3512) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) % 33.87/9.60 | % 33.87/9.60 +-Applying beta-rule and splitting (3512), into two cases. % 33.87/9.60 |-Branch one: % 33.87/9.60 | (3513) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) % 33.87/9.60 | % 33.87/9.60 +-Applying beta-rule and splitting (3513), into two cases. % 33.87/9.60 |-Branch one: % 33.87/9.60 | (3514) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45) % 33.87/9.60 | % 33.87/9.60 | Applying alpha-rule on (3514) yields: % 33.87/9.60 | (3515) all_0_2_2 = e4 % 33.87/9.60 | (3516) ~ (all_0_1_1 = e3) % 33.87/9.60 | (3517) ~ (all_0_41_41 = all_0_45_45) % 33.87/9.60 | % 33.87/9.60 | Combining equations (3515,3353) yields a new equation: % 33.87/9.60 | (718) e4 = e3 % 33.87/9.60 | % 33.87/9.60 | Simplifying 718 yields: % 33.87/9.60 | (443) e4 = e3 % 33.87/9.60 | % 33.87/9.60 | Equations (443) can reduce 30 to: % 33.87/9.60 | (303) $false % 33.87/9.60 | % 33.87/9.60 |-The branch is then unsatisfiable % 33.87/9.60 |-Branch two: % 33.87/9.60 | (3521) all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48) % 33.87/9.60 | % 33.87/9.60 | Applying alpha-rule on (3521) yields: % 33.87/9.60 | (356) all_0_4_4 = e4 % 33.87/9.60 | (3523) ~ (all_0_3_3 = e2) % 33.87/9.60 | (3524) ~ (all_0_42_42 = all_0_48_48) % 33.87/9.60 | % 33.87/9.60 | Combining equations (356,12421) yields a new equation: % 33.87/9.60 | (878) e4 = e2 % 33.87/9.60 | % 33.87/9.60 | Simplifying 878 yields: % 33.87/9.60 | (470) e4 = e2 % 33.87/9.60 | % 33.87/9.60 | Equations (470) can reduce 231 to: % 33.87/9.60 | (303) $false % 33.87/9.60 | % 33.87/9.60 |-The branch is then unsatisfiable % 33.87/9.60 |-Branch two: % 33.87/9.60 | (3526) all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52) % 33.87/9.60 | % 33.87/9.60 | Applying alpha-rule on (3526) yields: % 33.87/9.60 | (3527) all_0_6_6 = e4 % 33.87/9.60 | (3528) ~ (all_0_5_5 = e1) % 33.87/9.61 | (3529) ~ (all_0_43_43 = all_0_52_52) % 33.87/9.61 | % 33.87/9.61 | Combining equations (3527,3326) yields a new equation: % 33.87/9.61 | (878) e4 = e2 % 33.87/9.61 | % 33.87/9.61 | Simplifying 878 yields: % 33.87/9.61 | (470) e4 = e2 % 33.87/9.61 | % 33.87/9.61 | Equations (470) can reduce 231 to: % 33.87/9.61 | (303) $false % 33.87/9.61 | % 33.87/9.61 |-The branch is then unsatisfiable % 33.87/9.61 |-Branch two: % 33.87/9.61 | (3533) all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56) % 33.87/9.61 | % 33.87/9.61 | Applying alpha-rule on (3533) yields: % 33.87/9.61 | (3534) all_0_8_8 = e4 % 33.87/9.61 | (3535) ~ (all_0_7_7 = e0) % 33.87/9.61 | (3536) ~ (all_0_44_44 = all_0_56_56) % 33.87/9.61 | % 33.87/9.61 | Equations (15440) can reduce 3535 to: % 33.87/9.61 | (303) $false % 33.87/9.61 | % 33.87/9.61 |-The branch is then unsatisfiable % 33.87/9.61 |-Branch two: % 33.87/9.61 | (3538) all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45) % 33.87/9.61 | % 33.87/9.61 | Applying alpha-rule on (3538) yields: % 33.87/9.61 | (3539) all_0_10_10 = e3 % 33.87/9.61 | (3540) ~ (all_0_9_9 = e4) % 33.87/9.61 | (3517) ~ (all_0_41_41 = all_0_45_45) % 33.87/9.61 | % 33.87/9.61 | Equations (6284) can reduce 3540 to: % 33.87/9.61 | (303) $false % 33.87/9.61 | % 33.87/9.61 |-The branch is then unsatisfiable % 33.87/9.61 |-Branch two: % 33.87/9.61 | (3545) all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53) % 33.87/9.61 | % 33.87/9.61 | Applying alpha-rule on (3545) yields: % 33.87/9.61 | (3546) all_0_12_12 = e3 % 33.87/9.61 | (3547) ~ (all_0_11_11 = e1) % 33.87/9.61 | (3548) ~ (all_0_46_46 = all_0_53_53) % 33.87/9.61 | % 33.87/9.61 | Combining equations (3546,3272) yields a new equation: % 33.87/9.61 | (680) e3 = e1 % 33.87/9.61 | % 33.87/9.61 | Simplifying 680 yields: % 33.87/9.61 | (601) e3 = e1 % 33.87/9.61 | % 33.87/9.61 | Equations (601) can reduce 136 to: % 33.87/9.61 | (303) $false % 33.87/9.61 | % 33.87/9.61 |-The branch is then unsatisfiable % 33.87/9.61 |-Branch two: % 33.87/9.61 | (3552) all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57) % 33.87/9.61 | % 33.87/9.61 | Applying alpha-rule on (3552) yields: % 33.87/9.61 | (3553) all_0_14_14 = e3 % 33.87/9.61 | (3554) ~ (all_0_13_13 = e0) % 33.87/9.61 | (3555) ~ (all_0_47_47 = all_0_57_57) % 33.87/9.61 | % 33.87/9.61 | Equations (306,407) can reduce 3555 to: % 33.87/9.61 | (303) $false % 33.87/9.61 | % 33.87/9.61 |-The branch is then unsatisfiable % 33.87/9.61 |-Branch two: % 33.87/9.61 | (3557) all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48) % 33.87/9.61 | % 33.87/9.61 | Applying alpha-rule on (3557) yields: % 33.87/9.61 | (3558) all_0_16_16 = e2 % 33.87/9.61 | (3559) ~ (all_0_15_15 = e4) % 33.87/9.61 | (3524) ~ (all_0_42_42 = all_0_48_48) % 33.87/9.61 | % 33.87/9.61 | Combining equations (3558,15573) yields a new equation: % 33.87/9.61 | (584) e2 = e1 % 33.87/9.61 | % 33.87/9.61 | Simplifying 584 yields: % 33.87/9.61 | (585) e2 = e1 % 33.87/9.61 | % 33.87/9.61 | Equations (585) can reduce 144 to: % 33.87/9.61 | (303) $false % 33.87/9.61 | % 33.87/9.61 |-The branch is then unsatisfiable % 33.87/9.61 |-Branch two: % 33.87/9.61 | (3562) all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1) % 33.87/9.61 | % 33.87/9.61 | Applying alpha-rule on (3562) yields: % 33.87/9.61 | (3563) all_0_18_18 = e2 % 33.87/9.61 | (3564) ~ (all_0_17_17 = e3) % 33.87/9.61 | (506) ~ (all_0_49_49 = e1) % 33.87/9.61 | % 33.87/9.61 | Equations (3246) can reduce 3564 to: % 33.87/9.61 | (303) $false % 33.87/9.61 | % 33.87/9.61 |-The branch is then unsatisfiable % 33.87/9.61 |-Branch two: % 33.87/9.61 | (3567) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54) % 33.87/9.61 | % 33.87/9.61 | Applying alpha-rule on (3567) yields: % 33.87/9.61 | (3568) all_0_20_20 = e2 % 33.87/9.61 | (3569) ~ (all_0_19_19 = e1) % 33.87/9.61 | (3570) ~ (all_0_50_50 = all_0_54_54) % 33.87/9.61 | % 33.87/9.61 | Combining equations (3568,3327) yields a new equation: % 33.87/9.61 | (403) e2 = e0 % 33.87/9.61 | % 33.87/9.61 | Simplifying 403 yields: % 33.87/9.61 | (385) e2 = e0 % 33.87/9.61 | % 33.87/9.61 | Equations (385) can reduce 51 to: % 33.87/9.61 | (303) $false % 33.87/9.61 | % 33.87/9.61 |-The branch is then unsatisfiable % 33.87/9.61 |-Branch two: % 33.87/9.61 | (3574) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58) % 33.87/9.61 | % 33.87/9.61 | Applying alpha-rule on (3574) yields: % 33.87/9.61 | (3575) all_0_22_22 = e2 % 33.87/9.61 | (3576) ~ (all_0_21_21 = e0) % 33.87/9.61 | (3577) ~ (all_0_51_51 = all_0_58_58) % 33.87/9.61 | % 33.87/9.61 | Equations (15593) can reduce 3576 to: % 33.87/9.61 | (303) $false % 33.87/9.61 | % 33.87/9.61 |-The branch is then unsatisfiable % 33.87/9.61 |-Branch two: % 33.87/9.61 | (3579) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52) % 33.87/9.61 | % 33.87/9.61 | Applying alpha-rule on (3579) yields: % 33.87/9.61 | (3580) all_0_24_24 = e1 % 33.87/9.61 | (3581) ~ (all_0_23_23 = e4) % 33.87/9.61 | (3529) ~ (all_0_43_43 = all_0_52_52) % 33.87/9.61 | % 33.87/9.61 | Combining equations (3580,3590) yields a new equation: % 33.87/9.61 | (670) e1 = e0 % 33.87/9.61 | % 33.87/9.61 | Simplifying 670 yields: % 33.87/9.61 | (590) e1 = e0 % 33.87/9.61 | % 33.87/9.61 | Equations (590) can reduce 134 to: % 33.87/9.61 | (303) $false % 33.87/9.61 | % 33.87/9.61 |-The branch is then unsatisfiable % 33.87/9.61 |-Branch two: % 33.87/9.61 | (3584) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53) % 33.87/9.61 | % 33.87/9.61 | Applying alpha-rule on (3584) yields: % 33.87/9.61 | (3585) all_0_26_26 = e1 % 33.87/9.61 | (3586) ~ (all_0_25_25 = e3) % 33.87/9.61 | (3548) ~ (all_0_46_46 = all_0_53_53) % 33.87/9.61 | % 33.87/9.62 | Combining equations (3585,2620) yields a new equation: % 33.87/9.62 | (541) e4 = e1 % 33.87/9.62 | % 33.87/9.62 | Equations (541) can reduce 247 to: % 33.87/9.62 | (303) $false % 33.87/9.62 | % 33.87/9.62 |-The branch is then unsatisfiable % 33.87/9.62 |-Branch two: % 33.87/9.62 | (3641) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54) % 33.87/9.62 | % 33.87/9.62 | Applying alpha-rule on (3641) yields: % 33.87/9.62 | (3642) all_0_28_28 = e1 % 33.87/9.62 | (3643) ~ (all_0_27_27 = e2) % 33.87/9.62 | (3570) ~ (all_0_50_50 = all_0_54_54) % 33.87/9.62 | % 33.87/9.62 | Combining equations (3642,12394) yields a new equation: % 33.87/9.62 | (670) e1 = e0 % 33.87/9.62 | % 33.87/9.62 | Simplifying 670 yields: % 33.87/9.62 | (590) e1 = e0 % 33.87/9.62 | % 33.87/9.62 | Equations (590) can reduce 134 to: % 33.87/9.62 | (303) $false % 33.87/9.62 | % 33.87/9.62 |-The branch is then unsatisfiable % 33.87/9.62 |-Branch two: % 33.87/9.62 | (3647) all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59) % 33.87/9.62 | % 33.87/9.62 | Applying alpha-rule on (3647) yields: % 33.87/9.62 | (3648) all_0_30_30 = e1 % 33.87/9.62 | (3649) ~ (all_0_29_29 = e0) % 33.87/9.62 | (3650) ~ (all_0_55_55 = all_0_59_59) % 33.87/9.62 | % 33.87/9.62 | Equations (15604) can reduce 3649 to: % 33.87/9.62 | (303) $false % 33.87/9.62 | % 33.87/9.62 |-The branch is then unsatisfiable % 33.87/9.62 |-Branch two: % 33.87/9.62 | (3652) all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56) % 33.87/9.62 | % 33.87/9.62 | Applying alpha-rule on (3652) yields: % 33.87/9.62 | (3653) all_0_32_32 = e0 % 33.87/9.62 | (3654) ~ (all_0_31_31 = e4) % 33.87/9.62 | (3536) ~ (all_0_44_44 = all_0_56_56) % 33.87/9.62 | % 33.87/9.62 | Combining equations (10938,3653) yields a new equation: % 33.87/9.62 | (403) e2 = e0 % 33.87/9.62 | % 33.87/9.62 | Simplifying 403 yields: % 33.87/9.62 | (385) e2 = e0 % 33.87/9.62 | % 33.87/9.62 | Equations (385) can reduce 51 to: % 33.87/9.62 | (303) $false % 33.87/9.62 | % 33.87/9.62 |-The branch is then unsatisfiable % 33.87/9.62 |-Branch two: % 33.87/9.62 | (3657) all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57) % 33.87/9.62 | % 33.87/9.62 | Applying alpha-rule on (3657) yields: % 33.87/9.62 | (421) all_0_34_34 = e0 % 33.87/9.62 | (3659) ~ (all_0_33_33 = e3) % 33.87/9.62 | (3555) ~ (all_0_47_47 = all_0_57_57) % 33.87/9.62 | % 33.87/9.62 | Equations (306,407) can reduce 3555 to: % 33.87/9.62 | (303) $false % 33.87/9.62 | % 33.87/9.62 |-The branch is then unsatisfiable % 33.87/9.62 |-Branch two: % 33.87/9.62 | (3662) all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_51_51 = all_0_58_58) % 33.87/9.62 | % 33.87/9.62 | Applying alpha-rule on (3662) yields: % 33.87/9.62 | (354) all_0_36_36 = e0 % 33.87/9.62 | (3664) ~ (all_0_35_35 = e2) % 33.87/9.62 | (3577) ~ (all_0_51_51 = all_0_58_58) % 33.87/9.62 | % 33.87/9.62 | Combining equations (12418,354) yields a new equation: % 33.87/9.62 | (496) e3 = e0 % 33.87/9.62 | % 33.87/9.62 | Simplifying 496 yields: % 33.87/9.62 | (497) e3 = e0 % 33.87/9.62 | % 33.87/9.62 | Equations (497) can reduce 70 to: % 33.87/9.62 | (303) $false % 33.87/9.62 | % 33.87/9.62 |-The branch is then unsatisfiable % 33.87/9.62 |-Branch two: % 33.87/9.62 | (3667) all_0_38_38 = e0 & ~ (all_0_37_37 = e1) & ~ (all_0_55_55 = all_0_59_59) % 33.87/9.62 | % 33.87/9.62 | Applying alpha-rule on (3667) yields: % 33.87/9.62 | (3668) all_0_38_38 = e0 % 33.87/9.62 | (3669) ~ (all_0_37_37 = e1) % 33.87/9.62 | (3650) ~ (all_0_55_55 = all_0_59_59) % 33.87/9.62 | % 33.87/9.62 | Combining equations (3329,3668) yields a new equation: % 33.87/9.62 | (496) e3 = e0 % 33.87/9.62 | % 33.87/9.62 | Simplifying 496 yields: % 33.87/9.62 | (497) e3 = e0 % 33.87/9.62 | % 33.87/9.62 | Equations (497) can reduce 70 to: % 33.87/9.62 | (303) $false % 33.87/9.62 | % 33.87/9.62 |-The branch is then unsatisfiable % 33.87/9.62 |-Branch two: % 33.87/9.62 | (587) ~ (all_0_56_56 = e1) % 33.87/9.62 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 33.87/9.62 | % 33.87/9.62 +-Applying beta-rule and splitting (713), into two cases. % 33.87/9.62 |-Branch one: % 33.87/9.62 | (714) all_0_50_50 = e4 % 33.87/9.62 | % 33.87/9.62 | Combining equations (714,627) yields a new equation: % 33.87/9.62 | (540) e4 = e1 % 33.87/9.62 | % 33.87/9.62 | Simplifying 540 yields: % 33.87/9.62 | (541) e4 = e1 % 33.87/9.62 | % 33.87/9.62 | Equations (541) can reduce 247 to: % 33.87/9.62 | (303) $false % 33.87/9.62 | % 33.87/9.62 |-The branch is then unsatisfiable % 33.87/9.62 |-Branch two: % 33.87/9.62 | (611) ~ (all_0_50_50 = e4) % 33.87/9.62 | (717) all_0_59_59 = e4 % 33.87/9.62 | % 33.87/9.62 | Equations (717) can reduce 603 to: % 33.87/9.62 | (247) ~ (e4 = e1) % 33.87/9.62 | % 33.87/9.62 +-Applying beta-rule and splitting (588), into two cases. % 33.87/9.62 |-Branch one: % 33.87/9.62 | (589) all_0_57_57 = e1 % 33.87/9.62 | % 33.87/9.62 | Combining equations (589,407) yields a new equation: % 33.87/9.62 | (670) e1 = e0 % 33.87/9.62 | % 33.87/9.62 | Simplifying 670 yields: % 33.87/9.62 | (590) e1 = e0 % 33.87/9.62 | % 33.87/9.62 | Equations (590) can reduce 134 to: % 33.87/9.62 | (303) $false % 33.87/9.62 | % 33.87/9.62 |-The branch is then unsatisfiable % 33.87/9.62 |-Branch two: % 33.87/9.62 | (592) ~ (all_0_57_57 = e1) % 33.87/9.62 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 33.87/9.62 | % 33.87/9.62 +-Applying beta-rule and splitting (593), into two cases. % 33.87/9.62 |-Branch one: % 33.87/9.62 | (600) all_0_59_59 = e1 % 33.87/9.62 | % 33.87/9.62 | Combining equations (717,600) yields a new equation: % 33.87/9.62 | (540) e4 = e1 % 33.87/9.62 | % 33.87/9.62 | Simplifying 540 yields: % 33.87/9.62 | (541) e4 = e1 % 33.87/9.62 | % 33.87/9.62 | Equations (541) can reduce 247 to: % 33.87/9.62 | (303) $false % 33.87/9.62 | % 33.87/9.62 |-The branch is then unsatisfiable % 33.87/9.62 |-Branch two: % 33.87/9.62 | (603) ~ (all_0_59_59 = e1) % 33.87/9.62 | (604) all_0_60_60 = e1 % 33.87/9.62 | % 33.87/9.62 | Combining equations (604,1937) yields a new equation: % 33.87/9.62 | (601) e3 = e1 % 33.87/9.62 | % 33.87/9.62 | Equations (601) can reduce 136 to: % 33.87/9.62 | (303) $false % 33.87/9.62 | % 33.87/9.62 |-The branch is then unsatisfiable % 33.87/9.62 |-Branch two: % 33.87/9.62 | (1504) ~ (all_0_51_51 = e4) % 33.87/9.62 | (6452) all_0_51_51 = e1 | all_0_51_51 = e0 % 33.87/9.62 | % 33.87/9.62 +-Applying beta-rule and splitting (722), into two cases. % 33.87/9.62 |-Branch one: % 33.87/9.62 | (714) all_0_50_50 = e4 % 33.87/9.62 | % 33.87/9.62 +-Applying beta-rule and splitting (100), into two cases. % 33.87/9.62 |-Branch one: % 33.87/9.62 | (618) all_0_43_43 = e1 % 33.87/9.62 | % 33.87/9.62 | Combining equations (447,618) yields a new equation: % 33.87/9.62 | (680) e3 = e1 % 33.87/9.62 | % 33.87/9.62 | Simplifying 680 yields: % 33.87/9.62 | (601) e3 = e1 % 33.87/9.62 | % 33.87/9.62 | Equations (601) can reduce 136 to: % 33.87/9.62 | (303) $false % 33.87/9.62 | % 33.87/9.62 |-The branch is then unsatisfiable % 33.87/9.62 |-Branch two: % 33.87/9.62 | (622) ~ (all_0_43_43 = e1) % 33.87/9.62 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 33.87/9.62 | % 33.87/9.62 +-Applying beta-rule and splitting (807), into two cases. % 33.87/9.62 |-Branch one: % 33.87/9.62 | (1070) all_0_52_52 = e1 % 33.87/9.62 | % 33.87/9.62 | Combining equations (980,1070) yields a new equation: % 33.87/9.62 | (584) e2 = e1 % 33.87/9.62 | % 33.87/9.62 | Simplifying 584 yields: % 33.87/9.62 | (585) e2 = e1 % 33.87/9.62 | % 33.87/9.62 | Equations (585) can reduce 144 to: % 33.87/9.62 | (303) $false % 33.87/9.62 | % 33.87/9.62 |-The branch is then unsatisfiable % 33.87/9.62 |-Branch two: % 33.87/9.62 | (502) ~ (all_0_52_52 = e1) % 33.87/9.62 | (583) all_0_56_56 = e1 % 33.87/9.62 | % 33.87/9.62 | Equations (583) can reduce 42 to: % 33.87/9.62 | (3274) ~ (all_0_59_59 = e1) % 33.87/9.62 | % 33.87/9.62 | Simplifying 3274 yields: % 33.87/9.62 | (603) ~ (all_0_59_59 = e1) % 33.87/9.62 | % 33.87/9.62 | Equations (583) can reduce 345 to: % 33.87/9.62 | (605) ~ (e4 = e1) % 33.87/9.62 | % 33.87/9.62 | Simplifying 605 yields: % 33.87/9.62 | (247) ~ (e4 = e1) % 33.87/9.62 | % 33.87/9.62 +-Applying beta-rule and splitting (623), into two cases. % 33.87/9.62 |-Branch one: % 33.87/9.62 | (627) all_0_50_50 = e1 % 33.87/9.62 | % 33.87/9.62 | Combining equations (627,714) yields a new equation: % 33.87/9.62 | (541) e4 = e1 % 33.87/9.62 | % 33.87/9.62 | Equations (541) can reduce 247 to: % 33.87/9.62 | (303) $false % 33.87/9.62 | % 33.87/9.62 |-The branch is then unsatisfiable % 33.87/9.62 |-Branch two: % 33.87/9.62 | (678) ~ (all_0_50_50 = e1) % 33.87/9.62 | (600) all_0_59_59 = e1 % 33.87/9.62 | % 33.87/9.62 | Equations (600) can reduce 603 to: % 33.87/9.62 | (303) $false % 33.87/9.62 | % 33.87/9.62 |-The branch is then unsatisfiable % 33.87/9.62 |-Branch two: % 33.87/9.62 | (611) ~ (all_0_50_50 = e4) % 33.87/9.62 | (1501) all_0_51_51 = e4 % 33.87/9.62 | % 33.87/9.62 | Equations (1501) can reduce 1504 to: % 33.87/9.62 | (303) $false % 33.87/9.62 | % 33.87/9.62 |-The branch is then unsatisfiable % 33.87/9.62 |-Branch two: % 33.87/9.62 | (699) ~ (all_0_41_41 = e1) % 33.87/9.62 | (2158) all_0_41_41 = e3 | all_0_41_41 = e0 % 33.87/9.62 | % 33.87/9.62 +-Applying beta-rule and splitting (2158), into two cases. % 33.87/9.62 |-Branch one: % 33.87/9.62 | (398) all_0_41_41 = e0 % 33.87/9.62 | % 33.87/9.62 | Equations (398) can reduce 326 to: % 33.87/9.62 | (303) $false % 33.87/9.62 | % 33.87/9.62 |-The branch is then unsatisfiable % 33.87/9.62 |-Branch two: % 33.87/9.62 | (326) ~ (all_0_41_41 = e0) % 33.87/9.62 | (431) all_0_41_41 = e3 % 33.87/9.62 | % 33.87/9.62 | Equations (431) can reduce 996 to: % 33.87/9.62 | (303) $false % 33.87/9.62 | % 33.87/9.62 |-The branch is then unsatisfiable % 33.87/9.63 |-Branch two: % 33.87/9.63 | (428) ~ (all_0_53_53 = e3) % 33.87/9.63 | (1001) all_0_57_57 = e3 % 33.87/9.63 | % 33.87/9.63 | Combining equations (1001,407) yields a new equation: % 33.87/9.63 | (496) e3 = e0 % 33.87/9.63 | % 33.87/9.63 | Simplifying 496 yields: % 33.87/9.63 | (497) e3 = e0 % 33.87/9.63 | % 33.87/9.63 | Equations (497) can reduce 70 to: % 33.87/9.63 | (303) $false % 33.87/9.63 | % 33.87/9.63 |-The branch is then unsatisfiable % 33.87/9.63 |-Branch two: % 33.87/9.63 | (844) ~ (all_0_40_40 = e4) % 33.87/9.63 | (6577) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 33.87/9.63 | % 33.87/9.63 +-Applying beta-rule and splitting (997), into two cases. % 33.87/9.63 |-Branch one: % 33.87/9.63 | (994) all_0_53_53 = e3 % 33.87/9.63 | % 33.87/9.63 | Equations (994) can reduce 229 to: % 33.87/9.63 | (439) ~ (e4 = e3) % 33.87/9.63 | % 33.87/9.63 | Simplifying 439 yields: % 33.87/9.63 | (30) ~ (e4 = e3) % 33.87/9.63 | % 33.87/9.63 +-Applying beta-rule and splitting (6577), into two cases. % 33.87/9.63 |-Branch one: % 33.87/9.63 | (3175) all_0_42_42 = e4 % 33.87/9.63 | % 33.87/9.63 | Combining equations (324,3175) yields a new equation: % 33.87/9.63 | (654) e4 = e0 % 33.87/9.63 | % 33.87/9.63 | Equations (654) can reduce 4 to: % 33.87/9.63 | (303) $false % 33.87/9.63 | % 33.87/9.63 |-The branch is then unsatisfiable % 33.87/9.63 |-Branch two: % 33.87/9.63 | (6245) ~ (all_0_42_42 = e4) % 33.87/9.63 | (6600) all_0_43_43 = e4 | all_0_44_44 = e4 % 33.87/9.63 | % 33.87/9.63 +-Applying beta-rule and splitting (6600), into two cases. % 33.87/9.63 |-Branch one: % 33.87/9.63 | (614) all_0_43_43 = e4 % 33.87/9.63 | % 33.87/9.63 | Combining equations (447,614) yields a new equation: % 33.87/9.63 | (443) e4 = e3 % 33.87/9.63 | % 33.87/9.63 | Equations (443) can reduce 30 to: % 33.87/9.63 | (303) $false % 33.87/9.63 | % 33.87/9.63 |-The branch is then unsatisfiable % 33.87/9.63 |-Branch two: % 33.87/9.63 | (712) ~ (all_0_43_43 = e4) % 33.87/9.63 | (1096) all_0_44_44 = e4 % 33.87/9.63 | % 33.87/9.63 | Combining equations (572,1096) yields a new equation: % 33.87/9.63 | (470) e4 = e2 % 33.87/9.63 | % 33.87/9.63 | Equations (470) can reduce 231 to: % 33.87/9.63 | (303) $false % 33.87/9.63 | % 33.87/9.63 |-The branch is then unsatisfiable % 33.87/9.63 |-Branch two: % 33.87/9.63 | (428) ~ (all_0_53_53 = e3) % 33.87/9.63 | (1001) all_0_57_57 = e3 % 33.87/9.63 | % 33.87/9.63 | Combining equations (407,1001) yields a new equation: % 33.87/9.63 | (497) e3 = e0 % 33.87/9.63 | % 33.87/9.63 | Equations (497) can reduce 70 to: % 33.87/9.63 | (303) $false % 33.87/9.63 | % 33.87/9.63 |-The branch is then unsatisfiable % 33.87/9.63 |-Branch two: % 33.87/9.63 | (434) ~ (all_0_43_43 = e3) % 33.87/9.63 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 33.87/9.63 | % 33.87/9.63 +-Applying beta-rule and splitting (200), into two cases. % 33.87/9.63 |-Branch one: % 33.87/9.63 | (1102) all_0_40_40 = e3 % 33.87/9.63 | % 33.87/9.63 | Equations (1102) can reduce 432 to: % 33.87/9.63 | (303) $false % 33.87/9.63 | % 33.87/9.63 |-The branch is then unsatisfiable % 33.87/9.63 |-Branch two: % 33.87/9.63 | (432) ~ (all_0_40_40 = e3) % 33.87/9.63 | (2138) all_0_41_41 = e3 | all_0_43_43 = e3 | all_0_44_44 = e3 % 33.87/9.63 | % 33.87/9.63 +-Applying beta-rule and splitting (2138), into two cases. % 33.87/9.63 |-Branch one: % 33.87/9.63 | (431) all_0_41_41 = e3 % 33.87/9.63 | % 33.87/9.63 | Equations (431) can reduce 151 to: % 33.87/9.63 | (432) ~ (all_0_40_40 = e3) % 33.87/9.63 | % 33.87/9.63 | Equations (431) can reduce 121 to: % 33.87/9.63 | (427) ~ (all_0_53_53 = e3) % 33.87/9.63 | % 33.87/9.63 | Simplifying 427 yields: % 33.87/9.63 | (428) ~ (all_0_53_53 = e3) % 33.87/9.63 | % 33.87/9.63 +-Applying beta-rule and splitting (1006), into two cases. % 33.87/9.63 |-Branch one: % 33.87/9.63 | (994) all_0_53_53 = e3 % 33.87/9.63 | % 33.87/9.63 | Equations (994) can reduce 428 to: % 33.87/9.63 | (303) $false % 33.87/9.63 | % 33.87/9.63 |-The branch is then unsatisfiable % 33.87/9.63 |-Branch two: % 33.87/9.63 | (428) ~ (all_0_53_53 = e3) % 33.87/9.63 | (2165) all_0_55_55 = e3 % 33.87/9.63 | % 33.87/9.63 | Equations (2165) can reduce 13 to: % 33.87/9.63 | (32) ~ (all_0_51_51 = e3) % 33.87/9.63 | % 33.87/9.63 | Equations (2165) can reduce 131 to: % 33.87/9.63 | (428) ~ (all_0_53_53 = e3) % 33.87/9.63 | % 33.87/9.63 | Equations (2165) can reduce 492 to: % 33.87/9.63 | (439) ~ (e4 = e3) % 33.87/9.63 | % 33.87/9.63 | Simplifying 439 yields: % 33.87/9.63 | (30) ~ (e4 = e3) % 33.87/9.63 | % 33.87/9.63 | Equations (2165) can reduce 276 to: % 33.87/9.63 | (223) ~ (e3 = e2) % 33.87/9.63 | % 33.87/9.63 | From (2165) and (155) follows: % 33.87/9.63 | (7016) op(e3, e1) = all_0_29_29 % 33.87/9.63 | % 33.87/9.63 +-Applying beta-rule and splitting (1073), into two cases. % 33.87/9.63 |-Branch one: % 33.87/9.63 | (462) all_0_53_53 = e1 % 33.87/9.63 | % 33.87/9.63 | Equations (462) can reduce 229 to: % 33.87/9.63 | (605) ~ (e4 = e1) % 33.87/9.63 | % 33.87/9.63 | Simplifying 605 yields: % 33.87/9.63 | (247) ~ (e4 = e1) % 33.87/9.63 | % 33.87/9.63 | Equations (462) can reduce 428 to: % 33.87/9.63 | (465) ~ (e3 = e1) % 33.87/9.63 | % 33.87/9.63 | Simplifying 465 yields: % 33.87/9.63 | (136) ~ (e3 = e1) % 33.87/9.63 | % 33.87/9.63 +-Applying beta-rule and splitting (450), into two cases. % 33.87/9.63 |-Branch one: % 33.87/9.63 | (451) all_0_46_46 = e3 % 33.87/9.63 | % 33.87/9.63 | Combining equations (252,451) yields a new equation: % 33.87/9.63 | (453) e3 = e2 % 33.87/9.63 | % 33.87/9.63 | Equations (453) can reduce 223 to: % 33.87/9.63 | (303) $false % 33.87/9.63 | % 33.87/9.63 |-The branch is then unsatisfiable % 33.87/9.63 |-Branch two: % 33.87/9.63 | (455) ~ (all_0_46_46 = e3) % 33.87/9.63 | (456) all_0_59_59 = e3 % 33.87/9.63 | % 33.87/9.63 | Equations (456) can reduce 249 to: % 33.87/9.63 | (434) ~ (all_0_43_43 = e3) % 33.87/9.63 | % 33.87/9.63 | Equations (456) can reduce 126 to: % 33.87/9.63 | (15) ~ (all_0_50_50 = e3) % 33.87/9.63 | % 33.87/9.63 | From (456) and (33) follows: % 33.87/9.63 | (5473) op(e3, e1) = all_0_38_38 % 33.87/9.63 | % 33.87/9.63 | From (456) and (90) follows: % 33.87/9.63 | (461) op(e0, e1) = e3 % 33.87/9.63 | % 33.87/9.63 | Instantiating formula (29) with e3, e1, all_0_29_29, e2 and discharging atoms op(e3, e1) = all_0_29_29, op(e3, e1) = e2, yields: % 33.87/9.63 | (7025) all_0_29_29 = e2 % 33.87/9.63 | % 33.87/9.63 | Instantiating formula (29) with e3, e1, all_0_38_38, all_0_29_29 and discharging atoms op(e3, e1) = all_0_29_29, op(e3, e1) = all_0_38_38, yields: % 33.87/9.63 | (3323) all_0_29_29 = all_0_38_38 % 33.87/9.63 | % 33.87/9.63 | Combining equations (7025,3323) yields a new equation: % 33.87/9.63 | (5549) all_0_38_38 = e2 % 33.87/9.63 | % 33.87/9.63 | From (5549) and (5473) follows: % 33.87/9.63 | (266) op(e3, e1) = e2 % 33.87/9.63 | % 33.87/9.63 +-Applying beta-rule and splitting (100), into two cases. % 33.87/9.63 |-Branch one: % 33.87/9.63 | (618) all_0_43_43 = e1 % 33.87/9.63 | % 33.87/9.63 | Equations (618) can reduce 8 to: % 33.87/9.63 | (683) ~ (all_0_40_40 = e1) % 33.87/9.63 | % 33.87/9.63 | Equations (618) can reduce 238 to: % 33.87/9.63 | (855) ~ (all_0_50_50 = e1) % 33.87/9.63 | % 33.87/9.63 | Simplifying 855 yields: % 33.87/9.63 | (678) ~ (all_0_50_50 = e1) % 33.87/9.63 | % 33.87/9.63 | Equations (618) can reduce 434 to: % 33.87/9.63 | (465) ~ (e3 = e1) % 33.87/9.63 | % 33.87/9.63 | Simplifying 465 yields: % 33.87/9.63 | (136) ~ (e3 = e1) % 33.87/9.63 | % 33.87/9.63 | Equations (618) can reduce 117 to: % 33.87/9.63 | (134) ~ (e1 = e0) % 33.87/9.63 | % 33.87/9.63 | From (618) and (19) follows: % 33.87/9.63 | (636) op(e4, e1) = e1 % 33.87/9.63 | % 33.87/9.63 +-Applying beta-rule and splitting (367), into two cases. % 33.87/9.63 |-Branch one: % 33.87/9.63 | (714) all_0_50_50 = e4 % 33.87/9.63 | % 33.87/9.63 | Equations (714) can reduce 171 to: % 33.87/9.63 | (6435) ~ (all_0_51_51 = e4) % 33.87/9.63 | % 33.87/9.63 | Simplifying 6435 yields: % 33.87/9.63 | (1504) ~ (all_0_51_51 = e4) % 33.87/9.63 | % 33.87/9.63 | Equations (714) can reduce 15 to: % 33.87/9.63 | (30) ~ (e4 = e3) % 33.87/9.63 | % 33.87/9.63 | Equations (714) can reduce 678 to: % 33.87/9.63 | (247) ~ (e4 = e1) % 33.87/9.63 | % 33.87/9.63 +-Applying beta-rule and splitting (166), into two cases. % 33.87/9.63 |-Branch one: % 33.87/9.63 | (927) all_0_51_51 = e2 % 33.87/9.63 | % 33.87/9.63 | Equations (927) can reduce 373 to: % 33.87/9.63 | (303) $false % 33.87/9.63 | % 33.87/9.63 |-The branch is then unsatisfiable % 33.87/9.63 |-Branch two: % 33.87/9.63 | (373) ~ (all_0_51_51 = e2) % 33.87/9.63 | (6448) all_0_51_51 = e4 | all_0_51_51 = e1 | all_0_51_51 = e0 % 33.87/9.63 | % 33.87/9.63 +-Applying beta-rule and splitting (56), into two cases. % 33.87/9.63 |-Branch one: % 33.87/9.63 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 33.87/9.63 | % 33.87/9.63 +-Applying beta-rule and splitting (480), into two cases. % 33.87/9.63 |-Branch one: % 33.87/9.63 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 33.87/9.63 | % 33.87/9.63 +-Applying beta-rule and splitting (481), into two cases. % 33.87/9.63 |-Branch one: % 33.87/9.63 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 33.87/9.63 | % 33.87/9.63 +-Applying beta-rule and splitting (482), into two cases. % 33.87/9.63 |-Branch one: % 33.87/9.63 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 33.87/9.63 | % 33.87/9.63 | Applying alpha-rule on (483) yields: % 33.87/9.63 | (484) ~ (unit = e4) % 33.87/9.63 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 33.87/9.63 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 33.87/9.63 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 33.87/9.63 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 33.87/9.63 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 33.87/9.63 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 33.87/9.63 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 33.87/9.63 | (492) ~ (all_0_55_55 = e4) % 33.87/9.63 | (493) all_0_45_45 = e3 % 33.87/9.63 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 33.87/9.63 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 33.87/9.63 | % 33.87/9.63 +-Applying beta-rule and splitting (488), into two cases. % 33.87/9.63 |-Branch one: % 33.87/9.63 | (611) ~ (all_0_50_50 = e4) % 33.87/9.63 | % 33.87/9.63 | Equations (714) can reduce 611 to: % 33.87/9.63 | (303) $false % 33.87/9.63 | % 33.87/9.63 |-The branch is then unsatisfiable % 33.87/9.63 |-Branch two: % 33.87/9.63 | (714) all_0_50_50 = e4 % 33.87/9.63 | (748) all_0_48_48 = e1 % 33.87/9.63 | % 33.87/9.63 | Combining equations (748,380) yields a new equation: % 33.87/9.63 | (670) e1 = e0 % 33.87/9.63 | % 33.87/9.63 | Simplifying 670 yields: % 33.87/9.63 | (590) e1 = e0 % 33.87/9.63 | % 33.87/9.63 | Equations (590) can reduce 134 to: % 33.87/9.63 | (303) $false % 33.87/9.63 | % 33.87/9.63 |-The branch is then unsatisfiable % 33.87/9.63 |-Branch two: % 33.87/9.63 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 33.87/9.63 | % 33.87/9.63 | Applying alpha-rule on (499) yields: % 33.87/9.63 | (500) ~ (all_0_51_51 = e1) % 33.87/9.63 | (501) ~ (all_0_60_60 = e1) % 33.87/9.63 | (502) ~ (all_0_52_52 = e1) % 33.87/9.63 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 33.87/9.63 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 33.87/9.63 | (252) all_0_46_46 = e2 % 33.87/9.63 | (506) ~ (all_0_49_49 = e1) % 33.87/9.63 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 33.87/9.63 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 33.87/9.63 | (509) ~ (all_0_53_53 = e1) % 33.87/9.63 | (510) ~ (unit = e1) % 33.87/9.63 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 33.87/9.63 | (512) ~ (all_0_44_44 = e1) % 33.87/9.63 | % 33.87/9.63 | Equations (462) can reduce 509 to: % 33.87/9.63 | (303) $false % 33.87/9.63 | % 33.87/9.63 |-The branch is then unsatisfiable % 33.87/9.63 |-Branch two: % 33.87/9.63 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 33.87/9.63 | % 33.87/9.63 | Applying alpha-rule on (514) yields: % 33.87/9.63 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 33.87/9.63 | (516) ~ (all_0_47_47 = e3) % 33.87/9.63 | (314) ~ (all_0_55_55 = e3) % 33.87/9.63 | (368) all_0_49_49 = e2 % 33.87/9.63 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 33.87/9.63 | (520) ~ (unit = e3) % 33.87/9.63 | (521) ~ (all_0_52_52 = e3) % 33.87/9.63 | (455) ~ (all_0_46_46 = e3) % 33.87/9.63 | (432) ~ (all_0_40_40 = e3) % 33.87/9.63 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 33.87/9.63 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 33.87/9.63 | (526) ~ (all_0_56_56 = e3) % 33.87/9.63 | % 33.87/9.63 | Equations (2165) can reduce 314 to: % 33.87/9.63 | (303) $false % 33.87/9.63 | % 33.87/9.63 |-The branch is then unsatisfiable % 33.87/9.63 |-Branch two: % 33.87/9.63 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 33.87/9.63 | % 33.87/9.63 | Applying alpha-rule on (528) yields: % 33.87/9.63 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 33.87/9.63 | (530) all_0_55_55 = e1 % 33.87/9.63 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 33.87/9.63 | (387) ~ (all_0_49_49 = e0) % 33.87/9.63 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 33.87/9.63 | (534) ~ (all_0_45_45 = e0) % 33.87/9.63 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 33.87/9.63 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 33.87/9.63 | (537) ~ (unit = e0) % 33.87/9.63 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 33.87/9.63 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 33.87/9.63 | % 33.87/9.64 | Combining equations (2165,530) yields a new equation: % 33.87/9.64 | (680) e3 = e1 % 33.87/9.64 | % 33.87/9.64 | Simplifying 680 yields: % 33.87/9.64 | (601) e3 = e1 % 33.87/9.64 | % 33.87/9.64 | Equations (601) can reduce 136 to: % 33.87/9.64 | (303) $false % 33.87/9.64 | % 33.87/9.64 |-The branch is then unsatisfiable % 33.87/9.64 |-Branch two: % 33.87/9.64 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 33.87/9.64 | % 33.87/9.64 | Applying alpha-rule on (543) yields: % 33.87/9.64 | (544) ~ (all_0_48_48 = e2) % 33.87/9.64 | (369) ~ (all_0_41_41 = e2) % 33.87/9.64 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 33.87/9.64 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 33.87/9.64 | (253) ~ (all_0_43_43 = e2) % 33.87/9.64 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 33.87/9.64 | (276) ~ (all_0_55_55 = e2) % 33.87/9.64 | (260) ~ (all_0_59_59 = e2) % 33.87/9.64 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 33.87/9.64 | (274) ~ (all_0_53_53 = e2) % 33.87/9.64 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 33.87/9.64 | (373) ~ (all_0_51_51 = e2) % 33.87/9.64 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 33.87/9.64 | (256) ~ (all_0_47_47 = e2) % 33.87/9.64 | (377) ~ (all_0_57_57 = e2) % 33.87/9.64 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 33.87/9.64 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 33.87/9.64 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 33.87/9.64 | (258) ~ (all_0_50_50 = e2) % 33.87/9.64 | (254) ~ (all_0_45_45 = e2) % 33.87/9.64 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 33.87/9.64 | % 33.87/9.64 | Equations (714) can reduce 258 to: % 33.87/9.64 | (231) ~ (e4 = e2) % 33.87/9.64 | % 33.87/9.64 | Equations (462) can reduce 274 to: % 33.87/9.64 | (565) ~ (e2 = e1) % 33.87/9.64 | % 33.87/9.64 | Simplifying 565 yields: % 33.87/9.64 | (144) ~ (e2 = e1) % 33.87/9.64 | % 33.87/9.64 +-Applying beta-rule and splitting (21), into two cases. % 33.87/9.64 |-Branch one: % 33.87/9.64 | (723) all_0_40_40 = e4 % 33.87/9.64 | % 33.87/9.64 | Equations (723) can reduce 432 to: % 33.87/9.64 | (30) ~ (e4 = e3) % 33.87/9.64 | % 33.87/9.64 | Equations (723) can reduce 939 to: % 33.87/9.64 | (231) ~ (e4 = e2) % 33.87/9.64 | % 33.87/9.64 +-Applying beta-rule and splitting (561), into two cases. % 33.87/9.64 |-Branch one: % 33.87/9.64 | (278) ~ (all_0_58_58 = e2) % 33.87/9.64 | % 33.87/9.64 | Equations (340) can reduce 278 to: % 33.87/9.64 | (303) $false % 33.87/9.64 | % 33.87/9.64 |-The branch is then unsatisfiable % 33.87/9.64 |-Branch two: % 33.87/9.64 | (340) all_0_58_58 = e2 % 33.87/9.64 | (599) ~ (unit = e2) % 33.87/9.64 | % 33.87/9.64 +-Applying beta-rule and splitting (241), into two cases. % 33.87/9.64 |-Branch one: % 33.87/9.64 | (1096) all_0_44_44 = e4 % 33.87/9.64 | % 33.87/9.64 | Combining equations (572,1096) yields a new equation: % 33.87/9.64 | (470) e4 = e2 % 33.87/9.64 | % 33.87/9.64 | Equations (470) can reduce 231 to: % 33.87/9.64 | (303) $false % 33.87/9.64 | % 33.87/9.64 |-The branch is then unsatisfiable % 33.87/9.64 |-Branch two: % 33.87/9.64 | (474) ~ (all_0_44_44 = e4) % 33.87/9.64 | (1500) all_0_51_51 = e4 | all_0_55_55 = e4 | all_0_60_60 = e4 % 33.87/9.64 | % 33.87/9.64 +-Applying beta-rule and splitting (6448), into two cases. % 33.87/9.64 |-Branch one: % 33.87/9.64 | (1501) all_0_51_51 = e4 % 33.87/9.64 | % 33.87/9.64 | Equations (1501) can reduce 1504 to: % 33.87/9.64 | (303) $false % 33.87/9.64 | % 33.87/9.64 |-The branch is then unsatisfiable % 33.87/9.64 |-Branch two: % 33.87/9.64 | (1504) ~ (all_0_51_51 = e4) % 33.87/9.64 | (6452) all_0_51_51 = e1 | all_0_51_51 = e0 % 33.87/9.64 | % 33.87/9.64 +-Applying beta-rule and splitting (1500), into two cases. % 33.87/9.64 |-Branch one: % 33.87/9.64 | (1501) all_0_51_51 = e4 % 33.87/9.64 | % 33.87/9.64 | Equations (1501) can reduce 1504 to: % 33.87/9.64 | (303) $false % 33.87/9.64 | % 33.87/9.64 |-The branch is then unsatisfiable % 33.87/9.64 |-Branch two: % 33.87/9.64 | (1504) ~ (all_0_51_51 = e4) % 33.87/9.64 | (1505) all_0_55_55 = e4 | all_0_60_60 = e4 % 33.87/9.64 | % 33.87/9.64 +-Applying beta-rule and splitting (1505), into two cases. % 33.87/9.64 |-Branch one: % 33.87/9.64 | (473) all_0_55_55 = e4 % 33.87/9.64 | % 33.87/9.64 | Combining equations (473,2165) yields a new equation: % 33.87/9.64 | (718) e4 = e3 % 33.87/9.64 | % 33.87/9.64 | Simplifying 718 yields: % 33.87/9.64 | (443) e4 = e3 % 33.87/9.64 | % 33.87/9.64 | Equations (443) can reduce 30 to: % 33.87/9.64 | (303) $false % 33.87/9.64 | % 33.87/9.64 |-The branch is then unsatisfiable % 33.87/9.64 |-Branch two: % 33.87/9.64 | (492) ~ (all_0_55_55 = e4) % 33.87/9.64 | (1510) all_0_60_60 = e4 % 33.87/9.64 | % 33.87/9.64 | From (1510) and (170) follows: % 33.87/9.64 | (5006) op(e0, e0) = e4 % 33.87/9.64 | % 33.87/9.64 +-Applying beta-rule and splitting (6452), into two cases. % 33.87/9.64 |-Branch one: % 33.87/9.64 | (1590) all_0_51_51 = e1 % 33.87/9.64 | % 33.87/9.64 | Equations (1590) can reduce 373 to: % 33.87/9.64 | (565) ~ (e2 = e1) % 33.87/9.64 | % 33.87/9.64 | Simplifying 565 yields: % 33.87/9.64 | (144) ~ (e2 = e1) % 33.87/9.64 | % 33.87/9.64 | Equations (1590) can reduce 2347 to: % 33.87/9.64 | (134) ~ (e1 = e0) % 33.87/9.64 | % 33.87/9.64 | From (1590) and (66) follows: % 33.87/9.64 | (16003) op(e2, e0) = e1 % 33.87/9.64 | % 33.87/9.64 +-Applying beta-rule and splitting (62), into two cases. % 33.87/9.64 |-Branch one: % 33.87/9.64 | (631) unit = e2 % 33.87/9.64 | % 33.87/9.64 | Equations (631) can reduce 599 to: % 33.87/9.64 | (303) $false % 33.87/9.64 | % 33.87/9.64 |-The branch is then unsatisfiable % 33.87/9.64 |-Branch two: % 33.87/9.64 | (599) ~ (unit = e2) % 33.87/9.64 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 33.87/9.64 | % 33.87/9.64 +-Applying beta-rule and splitting (634), into two cases. % 33.87/9.64 |-Branch one: % 33.87/9.64 | (635) unit = e4 % 33.87/9.64 | % 33.87/9.64 | From (635) and (74) follows: % 33.87/9.64 | (637) op(e2, e4) = e2 % 33.87/9.64 | % 33.87/9.64 | From (635) and (190) follows: % 33.87/9.64 | (1178) op(e1, e4) = e1 % 33.87/9.64 | % 33.87/9.64 | Instantiating formula (29) with e2, e4, e2, e0 and discharging atoms op(e2, e4) = e2, op(e2, e4) = e0, yields: % 33.87/9.64 | (385) e2 = e0 % 33.87/9.64 | % 33.87/9.64 | Instantiating formula (29) with e1, e4, e1, e2 and discharging atoms op(e1, e4) = e2, op(e1, e4) = e1, yields: % 33.87/9.64 | (585) e2 = e1 % 33.87/9.64 | % 33.87/9.64 | Combining equations (385,585) yields a new equation: % 33.87/9.64 | (590) e1 = e0 % 33.87/9.64 | % 33.87/9.64 | Equations (590) can reduce 134 to: % 33.87/9.64 | (303) $false % 33.87/9.64 | % 33.87/9.64 |-The branch is then unsatisfiable % 33.87/9.64 |-Branch two: % 33.87/9.64 | (484) ~ (unit = e4) % 33.87/9.64 | (647) unit = e3 | unit = e1 | unit = e0 % 33.87/9.64 | % 33.87/9.64 +-Applying beta-rule and splitting (647), into two cases. % 33.87/9.64 |-Branch one: % 33.87/9.64 | (648) unit = e1 % 33.87/9.64 | % 33.87/9.64 | From (648) and (147) follows: % 33.87/9.64 | (282) op(e1, e2) = e2 % 33.87/9.64 | % 33.87/9.64 | From (648) and (130) follows: % 33.87/9.64 | (617) op(e4, e1) = e4 % 33.87/9.64 | % 33.87/9.64 | From (648) and (98) follows: % 33.87/9.64 | (1862) op(e3, e1) = e3 % 33.87/9.64 | % 33.87/9.64 | From (648) and (111) follows: % 33.87/9.64 | (770) op(e0, e1) = e0 % 33.87/9.64 | % 33.87/9.64 | Instantiating formula (29) with e4, e1, e4, e1 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e1, yields: % 33.87/9.64 | (541) e4 = e1 % 33.87/9.64 | % 33.87/9.64 | Instantiating formula (29) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields: % 33.87/9.64 | (453) e3 = e2 % 33.87/9.64 | % 33.87/9.64 | Instantiating formula (29) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields: % 33.87/9.64 | (470) e4 = e2 % 33.87/9.64 | % 33.87/9.64 | Instantiating formula (29) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields: % 33.87/9.64 | (497) e3 = e0 % 33.87/9.64 | % 33.87/9.64 | Combining equations (470,541) yields a new equation: % 33.87/9.64 | (584) e2 = e1 % 33.87/9.64 | % 33.87/9.64 | Simplifying 584 yields: % 33.87/9.64 | (585) e2 = e1 % 33.87/9.64 | % 33.87/9.64 | Combining equations (453,497) yields a new equation: % 33.87/9.64 | (403) e2 = e0 % 33.87/9.64 | % 33.87/9.64 | Simplifying 403 yields: % 33.87/9.64 | (385) e2 = e0 % 33.87/9.64 | % 33.87/9.64 | Combining equations (385,585) yields a new equation: % 33.87/9.64 | (590) e1 = e0 % 33.87/9.64 | % 33.87/9.64 | Equations (590) can reduce 134 to: % 33.87/9.64 | (303) $false % 33.87/9.64 | % 33.87/9.64 |-The branch is then unsatisfiable % 33.87/9.64 |-Branch two: % 33.87/9.64 | (510) ~ (unit = e1) % 33.87/9.64 | (659) unit = e3 | unit = e0 % 33.87/9.64 | % 33.87/9.64 +-Applying beta-rule and splitting (659), into two cases. % 33.87/9.64 |-Branch one: % 33.87/9.64 | (660) unit = e0 % 33.87/9.64 | % 33.87/9.64 | Equations (660) can reduce 510 to: % 33.87/9.64 | (661) ~ (e1 = e0) % 33.87/9.64 | % 33.87/9.64 | Simplifying 661 yields: % 33.87/9.64 | (134) ~ (e1 = e0) % 33.87/9.64 | % 33.87/9.64 | From (660) and (130) follows: % 33.87/9.64 | (8501) op(e4, e0) = e4 % 33.87/9.64 | % 33.87/9.64 | From (660) and (74) follows: % 33.87/9.64 | (664) op(e2, e0) = e2 % 33.87/9.64 | % 33.87/9.64 | From (660) and (111) follows: % 33.87/9.64 | (3633) op(e0, e0) = e0 % 33.87/9.64 | % 33.87/9.64 | Instantiating formula (29) with e4, e0, e4, e2 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e2, yields: % 33.87/9.64 | (470) e4 = e2 % 33.87/9.64 | % 33.87/9.64 | Instantiating formula (29) with e2, e0, e2, e1 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e1, yields: % 33.87/9.64 | (585) e2 = e1 % 33.87/9.64 | % 33.87/9.64 | Instantiating formula (29) with e0, e0, e0, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields: % 33.87/9.64 | (654) e4 = e0 % 33.87/9.64 | % 33.87/9.64 | Combining equations (470,654) yields a new equation: % 33.87/9.64 | (403) e2 = e0 % 33.87/9.64 | % 33.87/9.64 | Simplifying 403 yields: % 33.87/9.64 | (385) e2 = e0 % 33.87/9.64 | % 33.87/9.64 | Combining equations (585,385) yields a new equation: % 33.87/9.64 | (670) e1 = e0 % 33.87/9.64 | % 33.87/9.64 | Simplifying 670 yields: % 33.87/9.64 | (590) e1 = e0 % 33.87/9.64 | % 33.87/9.64 | Equations (590) can reduce 134 to: % 33.87/9.64 | (303) $false % 33.87/9.64 | % 33.87/9.64 |-The branch is then unsatisfiable % 33.87/9.64 |-Branch two: % 33.87/9.64 | (537) ~ (unit = e0) % 33.87/9.64 | (674) unit = e3 % 33.87/9.64 | % 33.87/9.64 | From (674) and (38) follows: % 33.87/9.64 | (675) op(e3, e1) = e1 % 33.87/9.64 | % 33.87/9.64 | Instantiating formula (29) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 33.87/9.64 | (585) e2 = e1 % 33.87/9.64 | % 33.87/9.64 | Equations (585) can reduce 144 to: % 33.87/9.64 | (303) $false % 33.87/9.64 | % 33.87/9.64 |-The branch is then unsatisfiable % 33.87/9.64 |-Branch two: % 33.87/9.64 | (500) ~ (all_0_51_51 = e1) % 33.87/9.64 | (388) all_0_51_51 = e0 % 33.87/9.64 | % 33.87/9.64 | Equations (388) can reduce 2347 to: % 33.87/9.64 | (303) $false % 33.87/9.64 | % 33.87/9.64 |-The branch is then unsatisfiable % 33.87/9.64 |-Branch two: % 33.87/9.64 | (844) ~ (all_0_40_40 = e4) % 33.87/9.64 | (6577) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 33.87/9.64 | % 33.87/9.64 +-Applying beta-rule and splitting (228), into two cases. % 33.87/9.64 |-Branch one: % 33.87/9.64 | (748) all_0_48_48 = e1 % 33.87/9.64 | % 33.87/9.64 | Combining equations (748,380) yields a new equation: % 33.87/9.64 | (670) e1 = e0 % 33.87/9.64 | % 33.87/9.64 | Simplifying 670 yields: % 33.87/9.64 | (590) e1 = e0 % 33.87/9.64 | % 33.87/9.64 | Equations (590) can reduce 134 to: % 33.87/9.64 | (303) $false % 33.87/9.64 | % 33.87/9.64 |-The branch is then unsatisfiable % 33.87/9.64 |-Branch two: % 33.87/9.64 | (802) ~ (all_0_48_48 = e1) % 33.87/9.64 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 33.87/9.64 | % 33.87/9.64 +-Applying beta-rule and splitting (241), into two cases. % 33.87/9.64 |-Branch one: % 33.87/9.64 | (1096) all_0_44_44 = e4 % 33.87/9.64 | % 33.87/9.64 | Combining equations (1096,572) yields a new equation: % 33.87/9.64 | (878) e4 = e2 % 33.87/9.64 | % 33.87/9.64 | Simplifying 878 yields: % 33.87/9.64 | (470) e4 = e2 % 33.87/9.64 | % 33.87/9.64 | Equations (470) can reduce 231 to: % 33.87/9.64 | (303) $false % 33.87/9.64 | % 33.87/9.64 |-The branch is then unsatisfiable % 33.87/9.64 |-Branch two: % 33.87/9.64 | (474) ~ (all_0_44_44 = e4) % 33.87/9.64 | (1500) all_0_51_51 = e4 | all_0_55_55 = e4 | all_0_60_60 = e4 % 33.87/9.64 | % 33.87/9.64 +-Applying beta-rule and splitting (175), into two cases. % 33.87/9.64 |-Branch one: % 33.87/9.64 | (624) all_0_40_40 = e1 % 33.87/9.64 | % 33.87/9.64 | Equations (624) can reduce 683 to: % 33.87/9.64 | (303) $false % 33.87/9.64 | % 33.87/9.64 |-The branch is then unsatisfiable % 33.87/9.64 |-Branch two: % 33.87/9.64 | (683) ~ (all_0_40_40 = e1) % 33.87/9.64 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 33.87/9.64 | % 33.87/9.64 +-Applying beta-rule and splitting (1500), into two cases. % 33.87/9.64 |-Branch one: % 33.87/9.64 | (1501) all_0_51_51 = e4 % 33.87/9.64 | % 33.87/9.64 | Equations (1501) can reduce 1504 to: % 33.87/9.64 | (303) $false % 33.87/9.64 | % 33.87/9.64 |-The branch is then unsatisfiable % 33.87/9.64 |-Branch two: % 33.87/9.64 | (1504) ~ (all_0_51_51 = e4) % 33.87/9.64 | (1505) all_0_55_55 = e4 | all_0_60_60 = e4 % 33.87/9.64 | % 33.87/9.64 +-Applying beta-rule and splitting (803), into two cases. % 33.87/9.64 |-Branch one: % 33.87/9.64 | (1580) all_0_49_49 = e1 % 33.87/9.64 | % 33.87/9.64 | Combining equations (368,1580) yields a new equation: % 33.87/9.64 | (584) e2 = e1 % 33.87/9.64 | % 33.87/9.64 | Simplifying 584 yields: % 33.87/9.64 | (585) e2 = e1 % 33.87/9.64 | % 33.87/9.64 | Equations (585) can reduce 144 to: % 33.87/9.64 | (303) $false % 33.87/9.64 | % 33.87/9.64 |-The branch is then unsatisfiable % 33.87/9.64 |-Branch two: % 33.87/9.64 | (506) ~ (all_0_49_49 = e1) % 33.87/9.64 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 33.87/9.64 | % 33.87/9.64 +-Applying beta-rule and splitting (1585), into two cases. % 33.87/9.64 |-Branch one: % 33.87/9.64 | (627) all_0_50_50 = e1 % 33.87/9.64 | % 33.87/9.64 | Combining equations (714,627) yields a new equation: % 33.87/9.64 | (540) e4 = e1 % 33.87/9.64 | % 33.87/9.64 | Simplifying 540 yields: % 33.87/9.64 | (541) e4 = e1 % 33.87/9.64 | % 33.87/9.64 | Equations (541) can reduce 247 to: % 33.87/9.64 | (303) $false % 33.87/9.64 | % 33.87/9.64 |-The branch is then unsatisfiable % 33.87/9.64 |-Branch two: % 33.87/9.64 | (678) ~ (all_0_50_50 = e1) % 33.87/9.64 | (1590) all_0_51_51 = e1 % 33.87/9.64 | % 33.87/9.64 | Equations (1590) can reduce 95 to: % 33.87/9.64 | (1050) ~ (all_0_60_60 = e1) % 33.87/9.64 | % 33.87/9.64 | Simplifying 1050 yields: % 33.87/9.64 | (501) ~ (all_0_60_60 = e1) % 33.87/9.64 | % 33.87/9.64 | Equations (1590) can reduce 32 to: % 33.87/9.64 | (465) ~ (e3 = e1) % 33.87/9.64 | % 33.87/9.64 | Simplifying 465 yields: % 33.87/9.64 | (136) ~ (e3 = e1) % 33.87/9.64 | % 33.87/9.64 | Equations (1590) can reduce 2347 to: % 33.87/9.64 | (134) ~ (e1 = e0) % 33.87/9.64 | % 33.87/9.64 +-Applying beta-rule and splitting (220), into two cases. % 33.87/9.64 |-Branch one: % 33.87/9.64 | (913) all_0_60_60 = e2 % 33.87/9.64 | % 33.87/9.65 | Equations (913) can reduce 571 to: % 33.87/9.65 | (303) $false % 33.87/9.65 | % 33.87/9.65 |-The branch is then unsatisfiable % 33.87/9.65 |-Branch two: % 33.87/9.65 | (571) ~ (all_0_60_60 = e2) % 33.87/9.65 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 33.87/9.65 | % 33.87/9.65 +-Applying beta-rule and splitting (245), into two cases. % 33.87/9.65 |-Branch one: % 33.87/9.65 | (583) all_0_56_56 = e1 % 33.87/9.65 | % 33.87/9.65 | Equations (583) can reduce 174 to: % 33.87/9.65 | (1050) ~ (all_0_60_60 = e1) % 33.87/9.65 | % 33.87/9.65 | Simplifying 1050 yields: % 33.87/9.65 | (501) ~ (all_0_60_60 = e1) % 33.87/9.65 | % 33.87/9.65 +-Applying beta-rule and splitting (1505), into two cases. % 33.87/9.65 |-Branch one: % 33.87/9.65 | (473) all_0_55_55 = e4 % 33.87/9.65 | % 33.87/9.65 | Combining equations (2165,473) yields a new equation: % 33.87/9.65 | (443) e4 = e3 % 33.87/9.65 | % 33.87/9.65 | Equations (443) can reduce 30 to: % 33.87/9.65 | (303) $false % 33.87/9.65 | % 33.87/9.65 |-The branch is then unsatisfiable % 33.87/9.65 |-Branch two: % 33.87/9.65 | (492) ~ (all_0_55_55 = e4) % 33.87/9.65 | (1510) all_0_60_60 = e4 % 33.87/9.65 | % 33.87/9.65 | Equations (1510) can reduce 571 to: % 33.87/9.65 | (231) ~ (e4 = e2) % 33.87/9.65 | % 33.87/9.65 | Equations (1510) can reduce 501 to: % 33.87/9.65 | (247) ~ (e4 = e1) % 33.87/9.65 | % 33.87/9.65 | Equations (1510) can reduce 414 to: % 33.87/9.65 | (4) ~ (e4 = e0) % 33.87/9.65 | % 33.87/9.65 +-Applying beta-rule and splitting (6577), into two cases. % 33.87/9.65 |-Branch one: % 33.87/9.65 | (3175) all_0_42_42 = e4 % 33.87/9.65 | % 33.87/9.65 | Combining equations (3175,324) yields a new equation: % 33.87/9.65 | (1573) e4 = e0 % 33.87/9.65 | % 33.87/9.65 | Simplifying 1573 yields: % 33.87/9.65 | (654) e4 = e0 % 33.87/9.65 | % 33.87/9.65 | Equations (654) can reduce 4 to: % 33.87/9.65 | (303) $false % 33.87/9.65 | % 33.87/9.65 |-The branch is then unsatisfiable % 33.87/9.65 |-Branch two: % 33.87/9.65 | (6245) ~ (all_0_42_42 = e4) % 33.87/9.65 | (6600) all_0_43_43 = e4 | all_0_44_44 = e4 % 33.87/9.65 | % 33.87/9.65 +-Applying beta-rule and splitting (6600), into two cases. % 33.87/9.65 |-Branch one: % 33.87/9.65 | (614) all_0_43_43 = e4 % 33.87/9.65 | % 33.87/9.65 | Combining equations (618,614) yields a new equation: % 33.87/9.65 | (541) e4 = e1 % 33.87/9.65 | % 33.87/9.65 | Equations (541) can reduce 247 to: % 33.87/9.65 | (303) $false % 33.87/9.65 | % 33.87/9.65 |-The branch is then unsatisfiable % 33.87/9.65 |-Branch two: % 33.87/9.65 | (712) ~ (all_0_43_43 = e4) % 33.87/9.65 | (1096) all_0_44_44 = e4 % 33.87/9.65 | % 33.87/9.65 | Combining equations (1096,572) yields a new equation: % 33.87/9.65 | (878) e4 = e2 % 33.87/9.65 | % 33.87/9.65 | Simplifying 878 yields: % 33.87/9.65 | (470) e4 = e2 % 33.87/9.65 | % 33.87/9.65 | Equations (470) can reduce 231 to: % 33.87/9.65 | (303) $false % 33.87/9.65 | % 33.87/9.65 |-The branch is then unsatisfiable % 33.87/9.65 |-Branch two: % 33.87/9.65 | (587) ~ (all_0_56_56 = e1) % 33.87/9.65 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 33.87/9.65 | % 33.87/9.65 +-Applying beta-rule and splitting (684), into two cases. % 33.87/9.65 |-Branch one: % 33.87/9.65 | (748) all_0_48_48 = e1 % 33.87/9.65 | % 33.87/9.65 | Combining equations (748,380) yields a new equation: % 33.87/9.65 | (670) e1 = e0 % 33.87/9.65 | % 33.87/9.65 | Simplifying 670 yields: % 33.87/9.65 | (590) e1 = e0 % 33.87/9.65 | % 33.87/9.65 | Equations (590) can reduce 134 to: % 33.87/9.65 | (303) $false % 33.87/9.65 | % 33.87/9.65 |-The branch is then unsatisfiable % 33.87/9.65 |-Branch two: % 33.87/9.65 | (802) ~ (all_0_48_48 = e1) % 33.87/9.65 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 33.87/9.65 | % 33.87/9.65 | Equations (380) can reduce 802 to: % 33.87/9.65 | (661) ~ (e1 = e0) % 33.87/9.65 | % 33.87/9.65 | Simplifying 661 yields: % 33.87/9.65 | (134) ~ (e1 = e0) % 33.87/9.65 | % 33.87/9.65 +-Applying beta-rule and splitting (588), into two cases. % 33.87/9.65 |-Branch one: % 33.87/9.65 | (589) all_0_57_57 = e1 % 33.87/9.65 | % 33.87/9.65 | Combining equations (407,589) yields a new equation: % 33.87/9.65 | (590) e1 = e0 % 33.87/9.65 | % 33.87/9.65 | Equations (590) can reduce 134 to: % 33.87/9.65 | (303) $false % 33.87/9.65 | % 33.87/9.65 |-The branch is then unsatisfiable % 33.87/9.65 |-Branch two: % 33.87/9.65 | (592) ~ (all_0_57_57 = e1) % 33.87/9.65 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 33.87/9.65 | % 33.87/9.65 +-Applying beta-rule and splitting (593), into two cases. % 33.87/9.65 |-Branch one: % 33.87/9.65 | (600) all_0_59_59 = e1 % 33.87/9.65 | % 33.87/9.65 | Combining equations (600,456) yields a new equation: % 33.87/9.65 | (601) e3 = e1 % 33.87/9.65 | % 33.87/9.65 | Equations (601) can reduce 136 to: % 33.87/9.65 | (303) $false % 33.87/9.65 | % 33.87/9.65 |-The branch is then unsatisfiable % 33.87/9.65 |-Branch two: % 33.87/9.65 | (603) ~ (all_0_59_59 = e1) % 33.87/9.65 | (604) all_0_60_60 = e1 % 33.87/9.65 | % 33.87/9.65 | Equations (604) can reduce 501 to: % 33.87/9.65 | (303) $false % 33.87/9.65 | % 33.87/9.65 |-The branch is then unsatisfiable % 33.87/9.65 |-Branch two: % 33.87/9.65 | (611) ~ (all_0_50_50 = e4) % 33.87/9.65 | (627) all_0_50_50 = e1 % 33.87/9.65 | % 33.87/9.65 | Equations (627) can reduce 678 to: % 33.87/9.65 | (303) $false % 33.87/9.65 | % 33.87/9.65 |-The branch is then unsatisfiable % 33.87/9.65 |-Branch two: % 33.87/9.65 | (622) ~ (all_0_43_43 = e1) % 33.87/9.65 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 33.87/9.65 | % 33.87/9.65 +-Applying beta-rule and splitting (623), into two cases. % 33.87/9.65 |-Branch one: % 33.87/9.65 | (627) all_0_50_50 = e1 % 33.87/9.65 | % 33.87/9.65 | Equations (627) can reduce 238 to: % 33.87/9.65 | (622) ~ (all_0_43_43 = e1) % 33.87/9.65 | % 33.87/9.65 | Equations (627) can reduce 171 to: % 33.87/9.65 | (16152) ~ (all_0_51_51 = e1) % 33.87/9.65 | % 33.87/9.65 | Simplifying 16152 yields: % 33.87/9.65 | (500) ~ (all_0_51_51 = e1) % 33.87/9.65 | % 33.87/9.65 | Equations (627) can reduce 15 to: % 33.87/9.65 | (465) ~ (e3 = e1) % 33.87/9.65 | % 33.87/9.65 | Simplifying 465 yields: % 33.87/9.65 | (136) ~ (e3 = e1) % 33.87/9.65 | % 33.87/9.65 | Equations (627) can reduce 258 to: % 33.87/9.65 | (565) ~ (e2 = e1) % 33.87/9.65 | % 33.87/9.65 | Simplifying 565 yields: % 33.87/9.65 | (144) ~ (e2 = e1) % 33.87/9.65 | % 33.87/9.65 | From (627) and (186) follows: % 33.87/9.65 | (1166) op(e2, e1) = e1 % 33.87/9.65 | % 33.87/9.65 +-Applying beta-rule and splitting (139), into two cases. % 33.87/9.65 |-Branch one: % 33.87/9.65 | (614) all_0_43_43 = e4 % 33.87/9.65 | % 33.87/9.65 | Equations (614) can reduce 8 to: % 33.87/9.65 | (844) ~ (all_0_40_40 = e4) % 33.87/9.65 | % 33.87/9.65 | Equations (614) can reduce 434 to: % 33.87/9.65 | (30) ~ (e4 = e3) % 33.87/9.65 | % 33.87/9.65 | Equations (614) can reduce 253 to: % 33.87/9.65 | (231) ~ (e4 = e2) % 33.87/9.65 | % 33.87/9.65 | Equations (614) can reduce 622 to: % 33.87/9.65 | (247) ~ (e4 = e1) % 33.87/9.65 | % 33.87/9.65 +-Applying beta-rule and splitting (166), into two cases. % 33.87/9.65 |-Branch one: % 33.87/9.65 | (927) all_0_51_51 = e2 % 33.87/9.65 | % 33.87/9.65 | Equations (927) can reduce 373 to: % 33.87/9.65 | (303) $false % 33.87/9.65 | % 33.87/9.65 |-The branch is then unsatisfiable % 33.87/9.65 |-Branch two: % 33.87/9.65 | (373) ~ (all_0_51_51 = e2) % 33.87/9.65 | (6448) all_0_51_51 = e4 | all_0_51_51 = e1 | all_0_51_51 = e0 % 33.87/9.65 | % 33.87/9.65 +-Applying beta-rule and splitting (6448), into two cases. % 33.87/9.65 |-Branch one: % 33.87/9.65 | (1501) all_0_51_51 = e4 % 33.87/9.65 | % 33.87/9.65 | Equations (1501) can reduce 373 to: % 33.87/9.65 | (231) ~ (e4 = e2) % 33.87/9.65 | % 33.87/9.65 | Equations (1501) can reduce 500 to: % 33.87/9.65 | (247) ~ (e4 = e1) % 33.87/9.65 | % 33.87/9.65 | Equations (1501) can reduce 2347 to: % 33.87/9.65 | (4) ~ (e4 = e0) % 33.87/9.65 | % 33.87/9.65 +-Applying beta-rule and splitting (243), into two cases. % 33.87/9.65 |-Branch one: % 33.87/9.65 | (877) all_0_56_56 = e4 % 33.87/9.65 | % 33.87/9.65 | Equations (877) can reduce 57 to: % 33.87/9.65 | (844) ~ (all_0_40_40 = e4) % 33.87/9.65 | % 33.87/9.65 +-Applying beta-rule and splitting (27), into two cases. % 33.87/9.65 |-Branch one: % 33.87/9.65 | (705) all_0_44_44 = e1 % 33.87/9.65 | % 33.87/9.65 | Combining equations (705,572) yields a new equation: % 33.87/9.65 | (585) e2 = e1 % 33.87/9.65 | % 33.87/9.65 | Equations (585) can reduce 144 to: % 33.87/9.65 | (303) $false % 33.87/9.65 | % 33.87/9.65 |-The branch is then unsatisfiable % 33.87/9.65 |-Branch two: % 33.87/9.65 | (512) ~ (all_0_44_44 = e1) % 33.87/9.65 | (1589) all_0_51_51 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1 % 33.87/9.65 | % 33.87/9.65 | Equations (572) can reduce 512 to: % 33.87/9.65 | (144) ~ (e2 = e1) % 33.87/9.65 | % 33.87/9.65 +-Applying beta-rule and splitting (44), into two cases. % 33.87/9.65 |-Branch one: % 33.87/9.65 | (624) all_0_40_40 = e1 % 33.87/9.65 | % 33.87/9.65 | Equations (624) can reduce 844 to: % 33.87/9.65 | (605) ~ (e4 = e1) % 33.87/9.65 | % 33.87/9.65 | Simplifying 605 yields: % 33.87/9.65 | (247) ~ (e4 = e1) % 33.87/9.65 | % 33.87/9.65 | Equations (624) can reduce 432 to: % 33.87/9.65 | (465) ~ (e3 = e1) % 33.87/9.65 | % 33.87/9.65 | Simplifying 465 yields: % 33.87/9.65 | (136) ~ (e3 = e1) % 33.87/9.65 | % 33.87/9.65 +-Applying beta-rule and splitting (245), into two cases. % 33.87/9.65 |-Branch one: % 33.87/9.65 | (583) all_0_56_56 = e1 % 33.87/9.65 | % 33.87/9.65 | Combining equations (877,583) yields a new equation: % 33.87/9.65 | (540) e4 = e1 % 33.87/9.65 | % 33.87/9.65 | Simplifying 540 yields: % 33.87/9.65 | (541) e4 = e1 % 33.87/9.65 | % 33.87/9.65 | Equations (541) can reduce 247 to: % 33.87/9.65 | (303) $false % 33.87/9.65 | % 33.87/9.65 |-The branch is then unsatisfiable % 33.87/9.65 |-Branch two: % 33.87/9.65 | (587) ~ (all_0_56_56 = e1) % 33.87/9.65 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 33.87/9.65 | % 33.87/9.65 | Equations (877) can reduce 587 to: % 33.87/9.65 | (247) ~ (e4 = e1) % 33.87/9.65 | % 33.87/9.65 +-Applying beta-rule and splitting (1589), into two cases. % 33.87/9.65 |-Branch one: % 33.87/9.65 | (1590) all_0_51_51 = e1 % 33.87/9.65 | % 33.87/9.65 | Combining equations (1501,1590) yields a new equation: % 33.87/9.65 | (540) e4 = e1 % 33.87/9.65 | % 33.87/9.65 | Simplifying 540 yields: % 33.87/9.65 | (541) e4 = e1 % 33.87/9.65 | % 33.87/9.65 | Equations (541) can reduce 247 to: % 33.87/9.65 | (303) $false % 33.87/9.65 | % 33.87/9.65 |-The branch is then unsatisfiable % 33.87/9.65 |-Branch two: % 33.87/9.65 | (500) ~ (all_0_51_51 = e1) % 33.87/9.65 | (1594) all_0_55_55 = e1 | all_0_60_60 = e1 % 33.87/9.65 | % 33.87/9.65 +-Applying beta-rule and splitting (220), into two cases. % 33.87/9.65 |-Branch one: % 33.87/9.65 | (913) all_0_60_60 = e2 % 33.87/9.65 | % 33.87/9.65 | Equations (913) can reduce 571 to: % 33.87/9.65 | (303) $false % 33.87/9.65 | % 33.87/9.65 |-The branch is then unsatisfiable % 33.87/9.65 |-Branch two: % 33.87/9.65 | (571) ~ (all_0_60_60 = e2) % 33.87/9.65 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 33.87/9.65 | % 33.87/9.65 +-Applying beta-rule and splitting (1594), into two cases. % 33.87/9.65 |-Branch one: % 33.87/9.65 | (530) all_0_55_55 = e1 % 33.87/9.65 | % 33.87/9.65 | Combining equations (2165,530) yields a new equation: % 33.87/9.65 | (680) e3 = e1 % 33.87/9.65 | % 33.87/9.65 | Simplifying 680 yields: % 33.87/9.65 | (601) e3 = e1 % 33.87/9.65 | % 33.87/9.65 | Equations (601) can reduce 136 to: % 33.87/9.65 | (303) $false % 33.87/9.65 | % 33.87/9.65 |-The branch is then unsatisfiable % 33.87/9.65 |-Branch two: % 33.87/9.65 | (464) ~ (all_0_55_55 = e1) % 33.87/9.65 | (604) all_0_60_60 = e1 % 33.87/9.65 | % 33.87/9.65 | Equations (604) can reduce 571 to: % 33.87/9.65 | (565) ~ (e2 = e1) % 33.87/9.65 | % 33.87/9.65 | Simplifying 565 yields: % 33.87/9.65 | (144) ~ (e2 = e1) % 33.87/9.65 | % 33.87/9.65 | Equations (604) can reduce 414 to: % 33.87/9.65 | (134) ~ (e1 = e0) % 33.87/9.65 | % 33.87/9.65 +-Applying beta-rule and splitting (62), into two cases. % 33.87/9.65 |-Branch one: % 33.87/9.65 | (631) unit = e2 % 33.87/9.65 | % 33.87/9.65 | From (631) and (98) follows: % 33.87/9.65 | (5015) op(e3, e2) = e3 % 33.87/9.65 | % 33.87/9.65 | From (631) and (74) follows: % 33.87/9.65 | (2715) op(e2, e2) = e2 % 33.87/9.65 | % 33.87/9.65 | From (631) and (111) follows: % 33.87/9.65 | (1167) op(e0, e2) = e0 % 33.87/9.65 | % 33.87/9.65 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 33.87/9.65 | (601) e3 = e1 % 33.87/9.65 | % 33.87/9.65 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 33.87/9.65 | (453) e3 = e2 % 33.87/9.65 | % 33.87/9.65 | Instantiating formula (29) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 33.87/9.65 | (385) e2 = e0 % 33.87/9.65 | % 33.87/9.65 | Combining equations (601,453) yields a new equation: % 33.87/9.65 | (585) e2 = e1 % 33.87/9.65 | % 33.87/9.65 | Combining equations (585,385) yields a new equation: % 33.87/9.65 | (670) e1 = e0 % 33.87/9.65 | % 33.87/9.65 | Simplifying 670 yields: % 33.87/9.65 | (590) e1 = e0 % 33.87/9.65 | % 33.87/9.65 | Equations (590) can reduce 134 to: % 33.87/9.65 | (303) $false % 33.87/9.65 | % 33.87/9.65 |-The branch is then unsatisfiable % 33.87/9.65 |-Branch two: % 33.87/9.65 | (599) ~ (unit = e2) % 33.87/9.65 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 33.87/9.65 | % 33.87/9.65 +-Applying beta-rule and splitting (634), into two cases. % 33.87/9.65 |-Branch one: % 33.87/9.65 | (635) unit = e4 % 33.87/9.65 | % 33.87/9.65 | From (635) and (74) follows: % 33.87/9.65 | (637) op(e2, e4) = e2 % 33.87/9.65 | % 33.87/9.65 | From (635) and (190) follows: % 33.87/9.65 | (1178) op(e1, e4) = e1 % 33.87/9.65 | % 33.87/9.65 | Instantiating formula (29) with e2, e4, e2, e0 and discharging atoms op(e2, e4) = e2, op(e2, e4) = e0, yields: % 33.87/9.65 | (385) e2 = e0 % 33.87/9.65 | % 33.87/9.65 | Instantiating formula (29) with e1, e4, e1, e2 and discharging atoms op(e1, e4) = e2, op(e1, e4) = e1, yields: % 33.87/9.65 | (585) e2 = e1 % 33.87/9.65 | % 33.87/9.65 | Combining equations (385,585) yields a new equation: % 33.87/9.65 | (590) e1 = e0 % 33.87/9.65 | % 33.87/9.65 | Equations (590) can reduce 134 to: % 33.87/9.65 | (303) $false % 33.87/9.65 | % 33.87/9.65 |-The branch is then unsatisfiable % 33.87/9.65 |-Branch two: % 33.87/9.65 | (484) ~ (unit = e4) % 33.87/9.65 | (647) unit = e3 | unit = e1 | unit = e0 % 33.87/9.65 | % 33.87/9.65 +-Applying beta-rule and splitting (647), into two cases. % 33.87/9.65 |-Branch one: % 33.87/9.65 | (648) unit = e1 % 33.87/9.65 | % 33.87/9.65 | From (648) and (98) follows: % 33.87/9.65 | (1862) op(e3, e1) = e3 % 33.87/9.65 | % 33.87/9.65 | From (648) and (74) follows: % 33.87/9.65 | (769) op(e2, e1) = e2 % 33.87/9.65 | % 33.87/9.65 | From (648) and (111) follows: % 33.87/9.65 | (770) op(e0, e1) = e0 % 33.87/9.65 | % 33.87/9.65 | Instantiating formula (29) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields: % 33.87/9.65 | (453) e3 = e2 % 33.87/9.65 | % 33.87/9.65 | Instantiating formula (29) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 33.87/9.66 | (585) e2 = e1 % 33.87/9.66 | % 33.87/9.66 | Instantiating formula (29) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields: % 33.87/9.66 | (497) e3 = e0 % 33.87/9.66 | % 33.87/9.66 | Combining equations (453,497) yields a new equation: % 33.87/9.66 | (403) e2 = e0 % 33.87/9.66 | % 33.87/9.66 | Simplifying 403 yields: % 33.87/9.66 | (385) e2 = e0 % 33.87/9.66 | % 33.87/9.66 | Combining equations (385,585) yields a new equation: % 33.87/9.66 | (590) e1 = e0 % 33.87/9.66 | % 33.87/9.66 | Equations (590) can reduce 134 to: % 33.87/9.66 | (303) $false % 33.87/9.66 | % 33.87/9.66 |-The branch is then unsatisfiable % 33.87/9.66 |-Branch two: % 33.87/9.66 | (510) ~ (unit = e1) % 33.87/9.66 | (659) unit = e3 | unit = e0 % 33.87/9.66 | % 33.87/9.66 +-Applying beta-rule and splitting (659), into two cases. % 33.87/9.66 |-Branch one: % 33.87/9.66 | (660) unit = e0 % 33.87/9.66 | % 33.87/9.66 | Equations (660) can reduce 510 to: % 33.87/9.66 | (661) ~ (e1 = e0) % 33.87/9.66 | % 33.87/9.66 | Simplifying 661 yields: % 33.87/9.66 | (134) ~ (e1 = e0) % 33.87/9.66 | % 33.87/9.66 | From (660) and (232) follows: % 33.87/9.66 | (1196) op(e0, e3) = e3 % 33.87/9.66 | % 33.87/9.66 | From (660) and (38) follows: % 33.87/9.66 | (2749) op(e0, e1) = e1 % 33.87/9.66 | % 33.87/9.66 | Instantiating formula (29) with e0, e3, e3, e0 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields: % 33.87/9.66 | (497) e3 = e0 % 33.87/9.66 | % 33.87/9.66 | Instantiating formula (29) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields: % 33.87/9.66 | (601) e3 = e1 % 33.87/9.66 | % 33.87/9.66 | Combining equations (601,497) yields a new equation: % 33.87/9.66 | (670) e1 = e0 % 33.87/9.66 | % 33.87/9.66 | Simplifying 670 yields: % 33.87/9.66 | (590) e1 = e0 % 33.87/9.66 | % 33.87/9.66 | Equations (590) can reduce 134 to: % 33.87/9.66 | (303) $false % 33.87/9.66 | % 33.87/9.66 |-The branch is then unsatisfiable % 33.87/9.66 |-Branch two: % 33.87/9.66 | (537) ~ (unit = e0) % 33.87/9.66 | (674) unit = e3 % 33.87/9.66 | % 33.87/9.66 | From (674) and (38) follows: % 33.87/9.66 | (675) op(e3, e1) = e1 % 33.87/9.66 | % 33.87/9.66 | Instantiating formula (29) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 33.87/9.66 | (585) e2 = e1 % 33.87/9.66 | % 33.87/9.66 | Equations (585) can reduce 144 to: % 33.87/9.66 | (303) $false % 33.87/9.66 | % 33.87/9.66 |-The branch is then unsatisfiable % 33.87/9.66 |-Branch two: % 33.87/9.66 | (683) ~ (all_0_40_40 = e1) % 33.87/9.66 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 33.87/9.66 | % 33.87/9.66 +-Applying beta-rule and splitting (245), into two cases. % 33.87/9.66 |-Branch one: % 33.87/9.66 | (583) all_0_56_56 = e1 % 33.87/9.66 | % 33.87/9.66 | Combining equations (583,877) yields a new equation: % 33.87/9.66 | (541) e4 = e1 % 33.87/9.66 | % 33.87/9.66 | Equations (541) can reduce 247 to: % 33.87/9.66 | (303) $false % 33.87/9.66 | % 33.87/9.66 |-The branch is then unsatisfiable % 33.87/9.66 |-Branch two: % 33.87/9.66 | (587) ~ (all_0_56_56 = e1) % 33.87/9.66 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 33.87/9.66 | % 33.87/9.66 | Equations (877) can reduce 587 to: % 33.87/9.66 | (247) ~ (e4 = e1) % 33.87/9.66 | % 33.87/9.66 +-Applying beta-rule and splitting (688), into two cases. % 33.87/9.66 |-Branch one: % 33.87/9.66 | (696) all_0_41_41 = e1 % 33.87/9.66 | % 33.87/9.66 | Combining equations (696,431) yields a new equation: % 33.87/9.66 | (601) e3 = e1 % 33.87/9.66 | % 33.87/9.66 | Equations (601) can reduce 136 to: % 33.87/9.66 | (303) $false % 33.87/9.66 | % 33.87/9.66 |-The branch is then unsatisfiable % 33.87/9.66 |-Branch two: % 33.87/9.66 | (699) ~ (all_0_41_41 = e1) % 33.87/9.66 | (700) all_0_43_43 = e1 | all_0_44_44 = e1 % 33.87/9.66 | % 33.87/9.66 +-Applying beta-rule and splitting (700), into two cases. % 33.87/9.66 |-Branch one: % 33.87/9.66 | (618) all_0_43_43 = e1 % 33.87/9.66 | % 33.87/9.66 | Combining equations (614,618) yields a new equation: % 33.87/9.66 | (540) e4 = e1 % 33.87/9.66 | % 33.87/9.66 | Simplifying 540 yields: % 33.87/9.66 | (541) e4 = e1 % 33.87/9.66 | % 33.87/9.66 | Equations (541) can reduce 247 to: % 33.87/9.66 | (303) $false % 33.87/9.66 | % 33.87/9.66 |-The branch is then unsatisfiable % 33.87/9.66 |-Branch two: % 33.87/9.66 | (622) ~ (all_0_43_43 = e1) % 33.87/9.66 | (705) all_0_44_44 = e1 % 33.87/9.66 | % 33.87/9.66 | Combining equations (705,572) yields a new equation: % 33.87/9.66 | (585) e2 = e1 % 33.87/9.66 | % 33.87/9.66 | Equations (585) can reduce 144 to: % 33.87/9.66 | (303) $false % 33.87/9.66 | % 33.87/9.66 |-The branch is then unsatisfiable % 33.87/9.66 |-Branch two: % 33.87/9.66 | (345) ~ (all_0_56_56 = e4) % 33.87/9.66 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 33.87/9.66 | % 33.87/9.66 +-Applying beta-rule and splitting (196), into two cases. % 33.87/9.66 |-Branch one: % 33.87/9.66 | (723) all_0_40_40 = e4 % 33.87/9.66 | % 33.87/9.66 | Equations (723) can reduce 844 to: % 33.87/9.66 | (303) $false % 33.87/9.66 | % 33.87/9.66 |-The branch is then unsatisfiable % 33.87/9.66 |-Branch two: % 33.87/9.66 | (844) ~ (all_0_40_40 = e4) % 33.87/9.66 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 33.87/9.66 | % 33.87/9.66 +-Applying beta-rule and splitting (845), into two cases. % 33.87/9.66 |-Branch one: % 33.87/9.66 | (609) all_0_48_48 = e4 % 33.87/9.66 | % 33.87/9.66 | Combining equations (609,380) yields a new equation: % 33.87/9.66 | (1573) e4 = e0 % 33.87/9.66 | % 33.87/9.66 | Simplifying 1573 yields: % 33.87/9.66 | (654) e4 = e0 % 33.87/9.66 | % 33.87/9.66 | Equations (654) can reduce 4 to: % 33.87/9.66 | (303) $false % 33.87/9.66 | % 33.87/9.66 |-The branch is then unsatisfiable % 33.87/9.66 |-Branch two: % 33.87/9.66 | (721) ~ (all_0_48_48 = e4) % 33.87/9.66 | (871) all_0_52_52 = e4 | all_0_56_56 = e4 % 33.87/9.66 | % 33.87/9.66 +-Applying beta-rule and splitting (871), into two cases. % 33.87/9.66 |-Branch one: % 33.87/9.66 | (442) all_0_52_52 = e4 % 33.87/9.66 | % 33.87/9.66 | Combining equations (980,442) yields a new equation: % 33.87/9.66 | (470) e4 = e2 % 33.87/9.66 | % 33.87/9.66 | Equations (470) can reduce 231 to: % 33.87/9.66 | (303) $false % 33.87/9.66 | % 33.87/9.66 |-The branch is then unsatisfiable % 33.87/9.66 |-Branch two: % 33.87/9.66 | (445) ~ (all_0_52_52 = e4) % 33.87/9.66 | (877) all_0_56_56 = e4 % 33.87/9.66 | % 33.87/9.66 | Equations (877) can reduce 345 to: % 33.87/9.66 | (303) $false % 33.87/9.66 | % 33.87/9.66 |-The branch is then unsatisfiable % 33.87/9.66 |-Branch two: % 33.87/9.66 | (1504) ~ (all_0_51_51 = e4) % 33.87/9.66 | (6452) all_0_51_51 = e1 | all_0_51_51 = e0 % 33.87/9.66 | % 33.87/9.66 +-Applying beta-rule and splitting (241), into two cases. % 33.87/9.66 |-Branch one: % 33.87/9.66 | (1096) all_0_44_44 = e4 % 33.87/9.66 | % 33.87/9.66 | Combining equations (1096,572) yields a new equation: % 33.87/9.66 | (878) e4 = e2 % 33.87/9.66 | % 33.87/9.66 | Simplifying 878 yields: % 33.87/9.66 | (470) e4 = e2 % 33.87/9.66 | % 33.87/9.66 | Equations (470) can reduce 231 to: % 33.87/9.66 | (303) $false % 33.87/9.66 | % 33.87/9.66 |-The branch is then unsatisfiable % 33.87/9.66 |-Branch two: % 33.87/9.66 | (474) ~ (all_0_44_44 = e4) % 33.87/9.66 | (1500) all_0_51_51 = e4 | all_0_55_55 = e4 | all_0_60_60 = e4 % 33.87/9.66 | % 33.87/9.66 +-Applying beta-rule and splitting (1500), into two cases. % 33.87/9.66 |-Branch one: % 33.87/9.66 | (1501) all_0_51_51 = e4 % 33.87/9.66 | % 33.87/9.66 | Equations (1501) can reduce 1504 to: % 33.87/9.66 | (303) $false % 33.87/9.66 | % 33.87/9.66 |-The branch is then unsatisfiable % 33.87/9.66 |-Branch two: % 33.87/9.66 | (1504) ~ (all_0_51_51 = e4) % 33.87/9.66 | (1505) all_0_55_55 = e4 | all_0_60_60 = e4 % 33.87/9.66 | % 33.87/9.66 +-Applying beta-rule and splitting (1505), into two cases. % 33.87/9.66 |-Branch one: % 33.87/9.66 | (473) all_0_55_55 = e4 % 33.87/9.66 | % 33.87/9.66 | Combining equations (2165,473) yields a new equation: % 33.87/9.66 | (443) e4 = e3 % 33.87/9.66 | % 33.87/9.66 | Equations (443) can reduce 30 to: % 33.87/9.66 | (303) $false % 33.87/9.66 | % 33.87/9.66 |-The branch is then unsatisfiable % 33.87/9.66 |-Branch two: % 33.87/9.66 | (492) ~ (all_0_55_55 = e4) % 33.87/9.66 | (1510) all_0_60_60 = e4 % 33.87/9.66 | % 33.87/9.66 +-Applying beta-rule and splitting (27), into two cases. % 33.87/9.66 |-Branch one: % 33.87/9.66 | (705) all_0_44_44 = e1 % 33.87/9.66 | % 33.87/9.66 | Combining equations (705,572) yields a new equation: % 33.87/9.66 | (585) e2 = e1 % 33.87/9.66 | % 33.87/9.66 | Equations (585) can reduce 144 to: % 33.87/9.66 | (303) $false % 33.87/9.66 | % 33.87/9.66 |-The branch is then unsatisfiable % 33.87/9.66 |-Branch two: % 33.87/9.66 | (512) ~ (all_0_44_44 = e1) % 33.87/9.66 | (1589) all_0_51_51 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1 % 33.87/9.66 | % 33.87/9.66 +-Applying beta-rule and splitting (1589), into two cases. % 33.87/9.66 |-Branch one: % 33.87/9.66 | (1590) all_0_51_51 = e1 % 33.87/9.66 | % 33.87/9.66 | Equations (1590) can reduce 500 to: % 33.87/9.66 | (303) $false % 33.87/9.66 | % 33.87/9.66 |-The branch is then unsatisfiable % 33.87/9.66 |-Branch two: % 33.87/9.66 | (500) ~ (all_0_51_51 = e1) % 33.87/9.66 | (1594) all_0_55_55 = e1 | all_0_60_60 = e1 % 33.87/9.66 | % 33.87/9.66 +-Applying beta-rule and splitting (1594), into two cases. % 33.87/9.66 |-Branch one: % 33.87/9.66 | (530) all_0_55_55 = e1 % 33.87/9.66 | % 33.87/9.66 | Combining equations (2165,530) yields a new equation: % 33.87/9.66 | (680) e3 = e1 % 33.87/9.66 | % 33.87/9.66 | Simplifying 680 yields: % 33.87/9.66 | (601) e3 = e1 % 33.87/9.66 | % 33.87/9.66 | Equations (601) can reduce 136 to: % 33.87/9.66 | (303) $false % 33.87/9.66 | % 33.87/9.66 |-The branch is then unsatisfiable % 33.87/9.66 |-Branch two: % 33.87/9.66 | (464) ~ (all_0_55_55 = e1) % 33.87/9.66 | (604) all_0_60_60 = e1 % 33.87/9.66 | % 33.87/9.66 | Combining equations (604,1510) yields a new equation: % 33.87/9.66 | (541) e4 = e1 % 33.87/9.66 | % 33.87/9.66 | Equations (541) can reduce 247 to: % 33.87/9.66 | (303) $false % 33.87/9.66 | % 33.87/9.66 |-The branch is then unsatisfiable % 33.87/9.66 |-Branch two: % 33.87/9.66 | (712) ~ (all_0_43_43 = e4) % 33.87/9.66 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 33.87/9.66 | % 33.87/9.66 +-Applying beta-rule and splitting (713), into two cases. % 33.87/9.66 |-Branch one: % 33.87/9.66 | (714) all_0_50_50 = e4 % 33.87/9.66 | % 33.87/9.66 | Combining equations (627,714) yields a new equation: % 33.87/9.66 | (541) e4 = e1 % 33.87/9.66 | % 33.87/9.66 | Equations (541) can reduce 247 to: % 33.87/9.66 | (303) $false % 33.87/9.66 | % 33.87/9.66 |-The branch is then unsatisfiable % 33.87/9.66 |-Branch two: % 33.87/9.66 | (611) ~ (all_0_50_50 = e4) % 33.87/9.66 | (717) all_0_59_59 = e4 % 33.87/9.66 | % 33.87/9.66 | Combining equations (717,456) yields a new equation: % 33.87/9.66 | (718) e4 = e3 % 33.87/9.66 | % 33.87/9.66 | Simplifying 718 yields: % 33.87/9.66 | (443) e4 = e3 % 33.87/9.66 | % 33.87/9.66 | Equations (443) can reduce 30 to: % 33.87/9.66 | (303) $false % 33.87/9.66 | % 33.87/9.66 |-The branch is then unsatisfiable % 33.87/9.66 |-Branch two: % 33.87/9.66 | (678) ~ (all_0_50_50 = e1) % 33.87/9.66 | (600) all_0_59_59 = e1 % 33.87/9.66 | % 33.87/9.66 | Combining equations (600,456) yields a new equation: % 33.87/9.66 | (601) e3 = e1 % 33.87/9.66 | % 33.87/9.66 | Equations (601) can reduce 136 to: % 33.87/9.66 | (303) $false % 33.87/9.66 | % 33.87/9.66 |-The branch is then unsatisfiable % 33.87/9.66 |-Branch two: % 33.97/9.66 | (509) ~ (all_0_53_53 = e1) % 33.97/9.66 | (530) all_0_55_55 = e1 % 33.97/9.66 | % 33.97/9.66 | Combining equations (2165,530) yields a new equation: % 33.97/9.66 | (680) e3 = e1 % 33.97/9.66 | % 33.97/9.66 | Simplifying 680 yields: % 33.97/9.66 | (601) e3 = e1 % 33.97/9.66 | % 33.97/9.66 | Equations (601) can reduce 136 to: % 33.97/9.66 | (303) $false % 33.97/9.66 | % 33.97/9.66 |-The branch is then unsatisfiable % 33.97/9.66 |-Branch two: % 33.97/9.66 | (996) ~ (all_0_41_41 = e3) % 33.97/9.66 | (5989) all_0_43_43 = e3 | all_0_44_44 = e3 % 33.97/9.66 | % 33.97/9.66 +-Applying beta-rule and splitting (5989), into two cases. % 33.97/9.66 |-Branch one: % 33.97/9.66 | (447) all_0_43_43 = e3 % 33.97/9.66 | % 33.97/9.66 | Equations (447) can reduce 434 to: % 33.97/9.66 | (303) $false % 33.97/9.66 | % 33.97/9.66 |-The branch is then unsatisfiable % 33.97/9.66 |-Branch two: % 33.97/9.66 | (434) ~ (all_0_43_43 = e3) % 33.97/9.66 | (2081) all_0_44_44 = e3 % 33.97/9.66 | % 33.97/9.66 | Combining equations (572,2081) yields a new equation: % 33.97/9.66 | (453) e3 = e2 % 33.97/9.66 | % 33.97/9.66 | Equations (453) can reduce 223 to: % 33.97/9.66 | (303) $false % 33.97/9.66 | % 33.97/9.66 |-The branch is then unsatisfiable % 33.97/9.66 |-Branch two: % 33.97/9.66 | (915) ~ (all_0_44_44 = e2) % 33.97/9.66 | (916) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 33.97/9.66 | % 33.97/9.66 +-Applying beta-rule and splitting (916), into two cases. % 33.97/9.66 |-Branch one: % 33.97/9.66 | (302) all_0_47_47 = e2 % 33.97/9.66 | % 33.97/9.66 | Combining equations (306,302) yields a new equation: % 33.97/9.66 | (385) e2 = e0 % 33.97/9.66 | % 33.97/9.66 | Equations (385) can reduce 51 to: % 33.97/9.66 | (303) $false % 33.97/9.66 | % 33.97/9.66 |-The branch is then unsatisfiable % 33.97/9.66 |-Branch two: % 33.97/9.66 | (256) ~ (all_0_47_47 = e2) % 33.97/9.66 | (926) all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 33.97/9.66 | % 33.97/9.66 +-Applying beta-rule and splitting (926), into two cases. % 33.97/9.66 |-Branch one: % 33.97/9.66 | (927) all_0_51_51 = e2 % 33.97/9.66 | % 33.97/9.66 | Equations (927) can reduce 373 to: % 33.97/9.66 | (303) $false % 33.97/9.66 | % 33.97/9.66 |-The branch is then unsatisfiable % 33.97/9.66 |-Branch two: % 33.97/9.66 | (373) ~ (all_0_51_51 = e2) % 33.97/9.66 | (931) all_0_55_55 = e2 | all_0_60_60 = e2 % 33.97/9.66 | % 33.97/9.66 +-Applying beta-rule and splitting (931), into two cases. % 33.97/9.66 |-Branch one: % 33.97/9.66 | (932) all_0_55_55 = e2 % 33.97/9.66 | % 33.97/9.66 | Equations (932) can reduce 276 to: % 33.97/9.66 | (303) $false % 33.97/9.66 | % 33.97/9.66 |-The branch is then unsatisfiable % 33.97/9.66 |-Branch two: % 33.97/9.66 | (276) ~ (all_0_55_55 = e2) % 33.97/9.66 | (913) all_0_60_60 = e2 % 33.97/9.66 | % 33.97/9.66 | Equations (913) can reduce 571 to: % 33.97/9.66 | (303) $false % 33.97/9.66 | % 33.97/9.66 |-The branch is then unsatisfiable % 33.97/9.66 |-Branch two: % 33.97/9.66 | (273) ~ (all_0_52_52 = e2) % 33.97/9.66 | (15176) all_0_53_53 = e2 | all_0_54_54 = e2 | all_0_55_55 = e2 % 33.97/9.66 | % 33.97/9.66 +-Applying beta-rule and splitting (24), into two cases. % 33.97/9.66 |-Branch one: % 33.97/9.66 | (980) all_0_52_52 = e2 % 33.97/9.66 | % 33.97/9.66 | Equations (980) can reduce 273 to: % 33.97/9.66 | (303) $false % 33.97/9.66 | % 33.97/9.66 |-The branch is then unsatisfiable % 33.97/9.66 |-Branch two: % 33.97/9.66 | (273) ~ (all_0_52_52 = e2) % 33.97/9.66 | (1772) all_0_52_52 = e4 | all_0_52_52 = e3 | all_0_52_52 = e1 % 33.97/9.66 | % 33.97/9.66 +-Applying beta-rule and splitting (15176), into two cases. % 33.97/9.66 |-Branch one: % 33.97/9.66 | (360) all_0_53_53 = e2 % 33.97/9.66 | % 33.97/9.66 | Equations (360) can reduce 274 to: % 33.97/9.66 | (303) $false % 33.97/9.66 | % 33.97/9.66 |-The branch is then unsatisfiable % 33.97/9.66 |-Branch two: % 33.97/9.66 | (274) ~ (all_0_53_53 = e2) % 33.97/9.66 | (15180) all_0_54_54 = e2 | all_0_55_55 = e2 % 33.97/9.66 | % 33.97/9.67 +-Applying beta-rule and splitting (15180), into two cases. % 33.97/9.67 |-Branch one: % 33.97/9.67 | (271) all_0_54_54 = e2 % 33.97/9.67 | % 33.97/9.67 | Combining equations (271,469) yields a new equation: % 33.97/9.67 | (470) e4 = e2 % 33.97/9.67 | % 33.97/9.67 | Equations (470) can reduce 231 to: % 33.97/9.67 | (303) $false % 33.97/9.67 | % 33.97/9.67 |-The branch is then unsatisfiable % 33.97/9.67 |-Branch two: % 33.97/9.67 | (3453) ~ (all_0_54_54 = e2) % 33.97/9.67 | (932) all_0_55_55 = e2 % 33.97/9.67 | % 33.97/9.67 | Equations (932) can reduce 59 to: % 33.97/9.67 | (915) ~ (all_0_44_44 = e2) % 33.97/9.67 | % 33.97/9.67 | Equations (932) can reduce 13 to: % 33.97/9.67 | (373) ~ (all_0_51_51 = e2) % 33.97/9.67 | % 33.97/9.67 | Equations (932) can reduce 169 to: % 33.97/9.67 | (273) ~ (all_0_52_52 = e2) % 33.97/9.67 | % 33.97/9.67 | Equations (932) can reduce 492 to: % 33.97/9.67 | (261) ~ (e4 = e2) % 33.97/9.67 | % 33.97/9.67 | Simplifying 261 yields: % 33.97/9.67 | (231) ~ (e4 = e2) % 33.97/9.67 | % 33.97/9.67 | Equations (932) can reduce 93 to: % 33.97/9.67 | (51) ~ (e2 = e0) % 33.97/9.67 | % 33.97/9.67 | From (932) and (240) follows: % 33.97/9.67 | (16398) op(e1, e0) = e2 % 33.97/9.67 | % 33.97/9.67 +-Applying beta-rule and splitting (1772), into two cases. % 33.97/9.67 |-Branch one: % 33.97/9.67 | (442) all_0_52_52 = e4 % 33.97/9.67 | % 33.97/9.67 | Equations (442) can reduce 445 to: % 33.97/9.67 | (303) $false % 33.97/9.67 | % 33.97/9.67 |-The branch is then unsatisfiable % 33.97/9.67 |-Branch two: % 33.97/9.67 | (445) ~ (all_0_52_52 = e4) % 33.97/9.67 | (1795) all_0_52_52 = e3 | all_0_52_52 = e1 % 33.97/9.67 | % 33.97/9.67 +-Applying beta-rule and splitting (1795), into two cases. % 33.97/9.67 |-Branch one: % 33.97/9.67 | (1070) all_0_52_52 = e1 % 33.97/9.67 | % 33.97/9.67 | Equations (1070) can reduce 188 to: % 33.97/9.67 | (683) ~ (all_0_40_40 = e1) % 33.97/9.67 | % 33.97/9.67 | Equations (1070) can reduce 77 to: % 33.97/9.67 | (6422) ~ (all_0_53_53 = e1) % 33.97/9.67 | % 33.97/9.67 | Simplifying 6422 yields: % 33.97/9.67 | (509) ~ (all_0_53_53 = e1) % 33.97/9.67 | % 33.97/9.67 | Equations (1070) can reduce 149 to: % 33.97/9.67 | (1799) ~ (all_0_56_56 = e1) % 33.97/9.67 | % 33.97/9.67 | Simplifying 1799 yields: % 33.97/9.67 | (587) ~ (all_0_56_56 = e1) % 33.97/9.67 | % 33.97/9.67 | Equations (1070) can reduce 445 to: % 33.97/9.67 | (605) ~ (e4 = e1) % 33.97/9.67 | % 33.97/9.67 | Simplifying 605 yields: % 33.97/9.67 | (247) ~ (e4 = e1) % 33.97/9.67 | % 33.97/9.67 | Equations (1070) can reduce 273 to: % 33.97/9.67 | (565) ~ (e2 = e1) % 33.97/9.67 | % 33.97/9.67 | Simplifying 565 yields: % 33.97/9.67 | (144) ~ (e2 = e1) % 33.97/9.67 | % 33.97/9.67 | Equations (1070) can reduce 78 to: % 33.97/9.67 | (134) ~ (e1 = e0) % 33.97/9.67 | % 33.97/9.67 | From (1070) and (45) follows: % 33.97/9.67 | (6468) op(e1, e4) = all_0_24_24 % 33.97/9.67 | % 33.97/9.67 | From (1070) and (152) follows: % 33.97/9.67 | (1178) op(e1, e4) = e1 % 33.97/9.67 | % 33.97/9.67 +-Applying beta-rule and splitting (363), into two cases. % 33.97/9.67 |-Branch one: % 33.97/9.67 | (462) all_0_53_53 = e1 % 33.97/9.67 | % 33.97/9.67 | Equations (462) can reduce 509 to: % 33.97/9.67 | (303) $false % 33.97/9.67 | % 33.97/9.67 |-The branch is then unsatisfiable % 33.97/9.67 |-Branch two: % 33.97/9.67 | (509) ~ (all_0_53_53 = e1) % 33.97/9.67 | (994) all_0_53_53 = e3 % 33.97/9.67 | % 33.97/9.67 | Equations (994) can reduce 121 to: % 33.97/9.67 | (996) ~ (all_0_41_41 = e3) % 33.97/9.67 | % 33.97/9.67 | From (994) and (54) follows: % 33.97/9.67 | (2593) op(e3, e1) = all_0_25_25 % 33.97/9.67 | % 33.97/9.67 +-Applying beta-rule and splitting (96), into two cases. % 33.97/9.67 |-Branch one: % 33.97/9.67 | (917) all_0_40_40 = e2 % 33.97/9.67 | % 33.97/9.67 | Equations (917) can reduce 151 to: % 33.97/9.67 | (5977) ~ (all_0_41_41 = e2) % 33.97/9.67 | % 33.97/9.67 | Simplifying 5977 yields: % 33.97/9.67 | (369) ~ (all_0_41_41 = e2) % 33.97/9.67 | % 33.97/9.67 | Equations (917) can reduce 124 to: % 33.97/9.67 | (4230) ~ (all_0_44_44 = e2) % 33.97/9.67 | % 33.97/9.67 | Simplifying 4230 yields: % 33.97/9.67 | (915) ~ (all_0_44_44 = e2) % 33.97/9.67 | % 33.97/9.67 | Equations (917) can reduce 57 to: % 33.97/9.67 | (2174) ~ (all_0_56_56 = e2) % 33.97/9.67 | % 33.97/9.67 | Simplifying 2174 yields: % 33.97/9.67 | (594) ~ (all_0_56_56 = e2) % 33.97/9.67 | % 33.97/9.67 | Equations (917) can reduce 683 to: % 33.97/9.67 | (144) ~ (e2 = e1) % 33.97/9.67 | % 33.97/9.67 | Equations (917) can reduce 288 to: % 33.97/9.67 | (51) ~ (e2 = e0) % 33.97/9.67 | % 33.97/9.67 | From (917) and (168) follows: % 33.97/9.67 | (1123) op(e4, e4) = e2 % 33.97/9.67 | % 33.97/9.67 +-Applying beta-rule and splitting (56), into two cases. % 33.97/9.67 |-Branch one: % 33.97/9.67 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 33.97/9.67 | % 33.97/9.67 +-Applying beta-rule and splitting (480), into two cases. % 33.97/9.67 |-Branch one: % 33.97/9.67 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 33.97/9.67 | % 33.97/9.67 +-Applying beta-rule and splitting (481), into two cases. % 33.97/9.67 |-Branch one: % 33.97/9.67 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 33.97/9.67 | % 33.97/9.67 +-Applying beta-rule and splitting (482), into two cases. % 33.97/9.67 |-Branch one: % 33.97/9.67 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 33.97/9.67 | % 33.97/9.67 | Applying alpha-rule on (483) yields: % 33.97/9.67 | (484) ~ (unit = e4) % 33.97/9.67 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 33.97/9.67 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 33.97/9.67 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 33.97/9.67 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 33.97/9.67 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 33.97/9.67 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 33.97/9.67 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 33.97/9.67 | (492) ~ (all_0_55_55 = e4) % 33.97/9.67 | (493) all_0_45_45 = e3 % 33.97/9.67 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 33.97/9.67 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 33.97/9.67 | % 33.97/9.67 +-Applying beta-rule and splitting (485), into two cases. % 33.97/9.67 |-Branch one: % 33.97/9.67 | (472) ~ (all_0_54_54 = e4) % 33.97/9.67 | % 33.97/9.67 | Equations (469) can reduce 472 to: % 33.97/9.67 | (303) $false % 33.97/9.67 | % 33.97/9.67 |-The branch is then unsatisfiable % 33.97/9.67 |-Branch two: % 33.97/9.67 | (469) all_0_54_54 = e4 % 33.97/9.67 | (980) all_0_52_52 = e2 % 33.97/9.67 | % 33.97/9.67 | Combining equations (980,1070) yields a new equation: % 33.97/9.67 | (584) e2 = e1 % 33.97/9.67 | % 33.97/9.67 | Simplifying 584 yields: % 33.97/9.67 | (585) e2 = e1 % 33.97/9.67 | % 33.97/9.67 | Equations (585) can reduce 144 to: % 33.97/9.67 | (303) $false % 33.97/9.67 | % 33.97/9.67 |-The branch is then unsatisfiable % 33.97/9.67 |-Branch two: % 33.97/9.67 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 33.97/9.67 | % 33.97/9.67 | Applying alpha-rule on (499) yields: % 33.97/9.67 | (500) ~ (all_0_51_51 = e1) % 33.97/9.67 | (501) ~ (all_0_60_60 = e1) % 33.97/9.67 | (502) ~ (all_0_52_52 = e1) % 33.97/9.67 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 33.97/9.67 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 33.97/9.67 | (252) all_0_46_46 = e2 % 33.97/9.67 | (506) ~ (all_0_49_49 = e1) % 33.97/9.67 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 33.97/9.67 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 33.97/9.67 | (509) ~ (all_0_53_53 = e1) % 33.97/9.67 | (510) ~ (unit = e1) % 33.97/9.67 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 33.97/9.67 | (512) ~ (all_0_44_44 = e1) % 33.97/9.67 | % 33.97/9.67 | Equations (1070) can reduce 502 to: % 33.97/9.67 | (303) $false % 33.97/9.67 | % 33.97/9.67 |-The branch is then unsatisfiable % 33.97/9.67 |-Branch two: % 33.97/9.67 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 33.97/9.67 | % 33.97/9.67 | Applying alpha-rule on (514) yields: % 33.97/9.67 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 33.97/9.67 | (516) ~ (all_0_47_47 = e3) % 33.97/9.67 | (314) ~ (all_0_55_55 = e3) % 33.97/9.67 | (368) all_0_49_49 = e2 % 33.97/9.67 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 33.97/9.67 | (520) ~ (unit = e3) % 33.97/9.67 | (521) ~ (all_0_52_52 = e3) % 33.97/9.67 | (455) ~ (all_0_46_46 = e3) % 33.97/9.67 | (432) ~ (all_0_40_40 = e3) % 33.97/9.67 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 33.97/9.67 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 33.97/9.67 | (526) ~ (all_0_56_56 = e3) % 33.97/9.67 | % 33.97/9.67 | Equations (306) can reduce 516 to: % 33.97/9.67 | (333) ~ (e3 = e0) % 33.97/9.67 | % 33.97/9.67 | Simplifying 333 yields: % 33.97/9.67 | (70) ~ (e3 = e0) % 33.97/9.67 | % 33.97/9.67 | Equations (1070) can reduce 521 to: % 33.97/9.67 | (465) ~ (e3 = e1) % 33.97/9.67 | % 33.97/9.67 | Simplifying 465 yields: % 33.97/9.67 | (136) ~ (e3 = e1) % 33.97/9.67 | % 33.97/9.67 | Equations (932) can reduce 314 to: % 33.97/9.67 | (577) ~ (e3 = e2) % 33.97/9.67 | % 33.97/9.67 | Simplifying 577 yields: % 33.97/9.67 | (223) ~ (e3 = e2) % 33.97/9.67 | % 33.97/9.67 +-Applying beta-rule and splitting (519), into two cases. % 33.97/9.67 |-Branch one: % 33.97/9.67 | (1031) ~ (all_0_59_59 = e3) % 33.97/9.67 | % 33.97/9.67 +-Applying beta-rule and splitting (141), into two cases. % 33.97/9.67 |-Branch one: % 33.97/9.67 | (580) all_0_56_56 = e2 % 33.97/9.67 | % 33.97/9.67 | Equations (580) can reduce 594 to: % 33.97/9.67 | (303) $false % 33.97/9.67 | % 33.97/9.67 |-The branch is then unsatisfiable % 33.97/9.67 |-Branch two: % 33.97/9.67 | (594) ~ (all_0_56_56 = e2) % 33.97/9.67 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 33.97/9.67 | % 33.97/9.67 +-Applying beta-rule and splitting (137), into two cases. % 33.97/9.67 |-Branch one: % 33.97/9.67 | (447) all_0_43_43 = e3 % 33.97/9.67 | % 33.97/9.67 | Equations (447) can reduce 43 to: % 33.97/9.67 | (996) ~ (all_0_41_41 = e3) % 33.97/9.67 | % 33.97/9.67 | Equations (447) can reduce 238 to: % 33.97/9.67 | (9726) ~ (all_0_50_50 = e3) % 33.97/9.67 | % 33.97/9.67 | Simplifying 9726 yields: % 33.97/9.67 | (15) ~ (all_0_50_50 = e3) % 33.97/9.67 | % 33.97/9.67 | Equations (447) can reduce 249 to: % 33.97/9.67 | (1030) ~ (all_0_59_59 = e3) % 33.97/9.67 | % 33.97/9.67 | Simplifying 1030 yields: % 33.97/9.67 | (1031) ~ (all_0_59_59 = e3) % 33.97/9.67 | % 33.97/9.67 | Equations (447) can reduce 117 to: % 33.97/9.67 | (70) ~ (e3 = e0) % 33.97/9.67 | % 33.97/9.67 | From (447) and (99) follows: % 33.97/9.67 | (3298) op(e3, e1) = all_0_6_6 % 33.97/9.67 | % 33.97/9.67 | From (447) and (19) follows: % 33.97/9.67 | (3299) op(e4, e1) = e3 % 33.97/9.67 | % 33.97/9.67 +-Applying beta-rule and splitting (209), into two cases. % 33.97/9.67 |-Branch one: % 33.97/9.67 | (1111) all_0_56_56 = e3 % 33.97/9.67 | % 33.97/9.67 | Equations (1111) can reduce 526 to: % 33.97/9.67 | (303) $false % 33.97/9.67 | % 33.97/9.67 |-The branch is then unsatisfiable % 33.97/9.67 |-Branch two: % 33.97/9.67 | (526) ~ (all_0_56_56 = e3) % 33.97/9.67 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 33.97/9.67 | % 33.97/9.67 +-Applying beta-rule and splitting (196), into two cases. % 33.97/9.67 |-Branch one: % 33.97/9.67 | (723) all_0_40_40 = e4 % 33.97/9.67 | % 33.97/9.67 | Combining equations (917,723) yields a new equation: % 33.97/9.67 | (470) e4 = e2 % 33.97/9.67 | % 33.97/9.67 | Equations (470) can reduce 231 to: % 33.97/9.67 | (303) $false % 33.97/9.67 | % 33.97/9.67 |-The branch is then unsatisfiable % 33.97/9.67 |-Branch two: % 33.97/9.67 | (844) ~ (all_0_40_40 = e4) % 33.97/9.67 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 33.97/9.67 | % 33.97/9.67 +-Applying beta-rule and splitting (1491), into two cases. % 33.97/9.67 |-Branch one: % 33.97/9.67 | (1001) all_0_57_57 = e3 % 33.97/9.67 | % 33.97/9.67 | Combining equations (407,1001) yields a new equation: % 33.97/9.67 | (497) e3 = e0 % 33.97/9.67 | % 33.97/9.67 | Equations (497) can reduce 70 to: % 33.97/9.67 | (303) $false % 33.97/9.67 | % 33.97/9.67 |-The branch is then unsatisfiable % 33.97/9.67 |-Branch two: % 33.97/9.67 | (2590) ~ (all_0_57_57 = e3) % 33.97/9.67 | (2977) all_0_59_59 = e3 | all_0_60_60 = e3 % 33.97/9.67 | % 33.97/9.67 +-Applying beta-rule and splitting (845), into two cases. % 33.97/9.67 |-Branch one: % 33.97/9.67 | (609) all_0_48_48 = e4 % 33.97/9.67 | % 33.97/9.67 | Combining equations (380,609) yields a new equation: % 33.97/9.67 | (654) e4 = e0 % 33.97/9.67 | % 33.97/9.67 | Equations (654) can reduce 4 to: % 33.97/9.67 | (303) $false % 33.97/9.67 | % 33.97/9.67 |-The branch is then unsatisfiable % 33.97/9.67 |-Branch two: % 33.97/9.67 | (721) ~ (all_0_48_48 = e4) % 33.97/9.67 | (871) all_0_52_52 = e4 | all_0_56_56 = e4 % 33.97/9.67 | % 33.97/9.67 +-Applying beta-rule and splitting (2977), into two cases. % 33.97/9.67 |-Branch one: % 33.97/9.67 | (456) all_0_59_59 = e3 % 33.97/9.67 | % 33.97/9.67 | Equations (456) can reduce 1031 to: % 33.97/9.67 | (303) $false % 33.97/9.67 | % 33.97/9.67 |-The branch is then unsatisfiable % 33.97/9.67 |-Branch two: % 33.97/9.67 | (1031) ~ (all_0_59_59 = e3) % 33.97/9.67 | (1937) all_0_60_60 = e3 % 33.97/9.67 | % 33.97/9.67 | Equations (1937) can reduce 174 to: % 33.97/9.67 | (526) ~ (all_0_56_56 = e3) % 33.97/9.67 | % 33.97/9.67 | Equations (1937) can reduce 164 to: % 33.97/9.67 | (1031) ~ (all_0_59_59 = e3) % 33.97/9.67 | % 33.97/9.67 +-Applying beta-rule and splitting (871), into two cases. % 33.97/9.67 |-Branch one: % 33.97/9.67 | (442) all_0_52_52 = e4 % 33.97/9.67 | % 33.97/9.67 | Combining equations (1070,442) yields a new equation: % 33.97/9.67 | (541) e4 = e1 % 33.97/9.67 | % 33.97/9.68 | Equations (541) can reduce 247 to: % 33.97/9.68 | (303) $false % 33.97/9.68 | % 33.97/9.68 |-The branch is then unsatisfiable % 33.97/9.68 |-Branch two: % 33.97/9.68 | (445) ~ (all_0_52_52 = e4) % 33.97/9.68 | (877) all_0_56_56 = e4 % 33.97/9.68 | % 33.97/9.68 | Equations (877) can reduce 42 to: % 33.97/9.68 | (347) ~ (all_0_59_59 = e4) % 33.97/9.68 | % 33.97/9.68 | Simplifying 347 yields: % 33.97/9.68 | (348) ~ (all_0_59_59 = e4) % 33.97/9.68 | % 33.97/9.68 | Equations (877) can reduce 526 to: % 33.97/9.68 | (30) ~ (e4 = e3) % 33.97/9.68 | % 33.97/9.68 | Equations (877) can reduce 594 to: % 33.97/9.68 | (231) ~ (e4 = e2) % 33.97/9.68 | % 33.97/9.68 | From (877) and (185) follows: % 33.97/9.68 | (10915) op(e4, e4) = all_0_32_32 % 33.97/9.68 | % 33.97/9.68 | From (877) and (132) follows: % 33.97/9.68 | (1195) op(e0, e4) = e4 % 33.97/9.68 | % 33.97/9.68 +-Applying beta-rule and splitting (180), into two cases. % 33.97/9.68 |-Branch one: % 33.97/9.68 | (945) all_0_41_41 = e2 % 33.97/9.68 | % 33.97/9.68 | Equations (945) can reduce 369 to: % 33.97/9.68 | (303) $false % 33.97/9.68 | % 33.97/9.68 |-The branch is then unsatisfiable % 33.97/9.68 |-Branch two: % 33.97/9.68 | (369) ~ (all_0_41_41 = e2) % 33.97/9.68 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 33.97/9.68 | % 33.97/9.68 +-Applying beta-rule and splitting (1017), into two cases. % 33.97/9.68 |-Branch one: % 33.97/9.68 | (696) all_0_41_41 = e1 % 33.97/9.68 | % 33.97/9.68 | Equations (696) can reduce 192 to: % 33.97/9.68 | (605) ~ (e4 = e1) % 33.97/9.68 | % 33.97/9.68 | Simplifying 605 yields: % 33.97/9.68 | (247) ~ (e4 = e1) % 33.97/9.68 | % 33.97/9.68 | Equations (696) can reduce 996 to: % 33.97/9.68 | (465) ~ (e3 = e1) % 33.97/9.68 | % 33.97/9.68 | Simplifying 465 yields: % 33.97/9.68 | (136) ~ (e3 = e1) % 33.97/9.68 | % 33.97/9.68 | Equations (696) can reduce 326 to: % 33.97/9.68 | (134) ~ (e1 = e0) % 33.97/9.68 | % 33.97/9.68 | From (696) and (211) follows: % 33.97/9.68 | (6426) op(e1, e4) = all_0_1_1 % 33.97/9.68 | % 33.97/9.68 +-Applying beta-rule and splitting (245), into two cases. % 33.97/9.68 |-Branch one: % 33.97/9.68 | (583) all_0_56_56 = e1 % 33.97/9.68 | % 33.97/9.68 | Combining equations (877,583) yields a new equation: % 33.97/9.68 | (540) e4 = e1 % 33.97/9.68 | % 33.97/9.68 | Simplifying 540 yields: % 33.97/9.68 | (541) e4 = e1 % 33.97/9.68 | % 33.97/9.68 | Equations (541) can reduce 247 to: % 33.97/9.68 | (303) $false % 33.97/9.68 | % 33.97/9.68 |-The branch is then unsatisfiable % 33.97/9.68 |-Branch two: % 33.97/9.68 | (587) ~ (all_0_56_56 = e1) % 33.97/9.68 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 33.97/9.68 | % 33.97/9.68 +-Applying beta-rule and splitting (227), into two cases. % 33.97/9.68 |-Branch one: % 33.97/9.68 | (909) all_0_59_59 = e2 % 33.97/9.68 | % 33.97/9.68 | Equations (909) can reduce 260 to: % 33.97/9.68 | (303) $false % 33.97/9.68 | % 33.97/9.68 |-The branch is then unsatisfiable % 33.97/9.68 |-Branch two: % 33.97/9.68 | (260) ~ (all_0_59_59 = e2) % 33.97/9.68 | (1037) all_0_59_59 = e4 | all_0_59_59 = e3 | all_0_59_59 = e1 % 33.97/9.68 | % 33.97/9.68 +-Applying beta-rule and splitting (21), into two cases. % 33.97/9.68 |-Branch one: % 33.97/9.68 | (723) all_0_40_40 = e4 % 33.97/9.68 | % 33.97/9.68 | Combining equations (917,723) yields a new equation: % 33.97/9.68 | (470) e4 = e2 % 33.97/9.68 | % 33.97/9.68 | Equations (470) can reduce 231 to: % 33.97/9.68 | (303) $false % 33.97/9.68 | % 33.97/9.68 |-The branch is then unsatisfiable % 33.97/9.68 |-Branch two: % 33.97/9.68 | (844) ~ (all_0_40_40 = e4) % 33.97/9.68 | (6577) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 33.97/9.68 | % 33.97/9.68 +-Applying beta-rule and splitting (588), into two cases. % 33.97/9.68 |-Branch one: % 33.97/9.68 | (589) all_0_57_57 = e1 % 33.97/9.68 | % 33.97/9.68 | Combining equations (407,589) yields a new equation: % 33.97/9.68 | (590) e1 = e0 % 33.97/9.68 | % 33.97/9.68 | Equations (590) can reduce 134 to: % 33.97/9.68 | (303) $false % 33.97/9.68 | % 33.97/9.68 |-The branch is then unsatisfiable % 33.97/9.68 |-Branch two: % 33.97/9.68 | (592) ~ (all_0_57_57 = e1) % 33.97/9.68 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 33.97/9.68 | % 33.97/9.68 | Equations (407) can reduce 592 to: % 33.97/9.68 | (661) ~ (e1 = e0) % 33.97/9.68 | % 33.97/9.68 | Simplifying 661 yields: % 33.97/9.68 | (134) ~ (e1 = e0) % 33.97/9.68 | % 33.97/9.68 +-Applying beta-rule and splitting (139), into two cases. % 33.97/9.68 |-Branch one: % 33.97/9.68 | (614) all_0_43_43 = e4 % 33.97/9.68 | % 33.97/9.68 | Combining equations (447,614) yields a new equation: % 33.97/9.68 | (443) e4 = e3 % 33.97/9.68 | % 33.97/9.68 | Equations (443) can reduce 30 to: % 33.97/9.68 | (303) $false % 33.97/9.68 | % 33.97/9.68 |-The branch is then unsatisfiable % 33.97/9.68 |-Branch two: % 33.97/9.68 | (712) ~ (all_0_43_43 = e4) % 33.97/9.68 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 33.97/9.68 | % 33.97/9.68 +-Applying beta-rule and splitting (713), into two cases. % 33.97/9.68 |-Branch one: % 33.97/9.68 | (714) all_0_50_50 = e4 % 33.97/9.68 | % 33.97/9.68 | Equations (714) can reduce 126 to: % 33.97/9.68 | (347) ~ (all_0_59_59 = e4) % 33.97/9.68 | % 33.97/9.68 | Simplifying 347 yields: % 33.97/9.68 | (348) ~ (all_0_59_59 = e4) % 33.97/9.68 | % 33.97/9.68 | Equations (714) can reduce 15 to: % 33.97/9.68 | (30) ~ (e4 = e3) % 33.97/9.68 | % 33.97/9.68 | Equations (714) can reduce 207 to: % 33.97/9.68 | (4) ~ (e4 = e0) % 33.97/9.68 | % 33.97/9.68 | From (714) and (110) follows: % 33.97/9.68 | (6028) op(e4, e1) = all_0_20_20 % 33.97/9.68 | % 33.97/9.68 +-Applying beta-rule and splitting (166), into two cases. % 33.97/9.68 |-Branch one: % 33.97/9.68 | (927) all_0_51_51 = e2 % 33.97/9.68 | % 33.97/9.68 | Equations (927) can reduce 373 to: % 33.97/9.68 | (303) $false % 33.97/9.68 | % 33.97/9.68 |-The branch is then unsatisfiable % 33.97/9.68 |-Branch two: % 33.97/9.68 | (373) ~ (all_0_51_51 = e2) % 33.97/9.68 | (6448) all_0_51_51 = e4 | all_0_51_51 = e1 | all_0_51_51 = e0 % 33.97/9.68 | % 33.97/9.68 +-Applying beta-rule and splitting (100), into two cases. % 33.97/9.68 |-Branch one: % 33.97/9.68 | (618) all_0_43_43 = e1 % 33.97/9.68 | % 33.97/9.68 | Combining equations (447,618) yields a new equation: % 33.97/9.68 | (680) e3 = e1 % 33.97/9.68 | % 33.97/9.68 | Simplifying 680 yields: % 33.97/9.68 | (601) e3 = e1 % 33.97/9.68 | % 33.97/9.68 | Equations (601) can reduce 136 to: % 33.97/9.68 | (303) $false % 33.97/9.68 | % 33.97/9.68 |-The branch is then unsatisfiable % 33.97/9.68 |-Branch two: % 33.97/9.68 | (622) ~ (all_0_43_43 = e1) % 33.97/9.68 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 33.97/9.68 | % 33.97/9.68 | Equations (447) can reduce 622 to: % 33.97/9.68 | (136) ~ (e3 = e1) % 33.97/9.68 | % 33.97/9.68 +-Applying beta-rule and splitting (228), into two cases. % 33.97/9.68 |-Branch one: % 33.97/9.68 | (748) all_0_48_48 = e1 % 33.97/9.68 | % 33.97/9.68 | Combining equations (380,748) yields a new equation: % 33.97/9.68 | (590) e1 = e0 % 33.97/9.68 | % 33.97/9.68 | Equations (590) can reduce 134 to: % 33.97/9.68 | (303) $false % 33.97/9.68 | % 33.97/9.68 |-The branch is then unsatisfiable % 33.97/9.68 |-Branch two: % 33.97/9.68 | (802) ~ (all_0_48_48 = e1) % 33.97/9.68 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 33.97/9.68 | % 33.97/9.68 +-Applying beta-rule and splitting (241), into two cases. % 33.97/9.68 |-Branch one: % 33.97/9.68 | (1096) all_0_44_44 = e4 % 33.97/9.68 | % 33.97/9.68 | From (1096) and (235) follows: % 33.97/9.68 | (2558) op(e4, e4) = all_0_7_7 % 33.97/9.68 | % 33.97/9.68 +-Applying beta-rule and splitting (593), into two cases. % 33.97/9.68 |-Branch one: % 33.99/9.68 | (600) all_0_59_59 = e1 % 33.99/9.68 | % 33.99/9.68 | Equations (600) can reduce 348 to: % 33.99/9.68 | (605) ~ (e4 = e1) % 33.99/9.68 | % 33.99/9.68 | Simplifying 605 yields: % 33.99/9.68 | (247) ~ (e4 = e1) % 33.99/9.68 | % 33.99/9.68 | Equations (600) can reduce 1031 to: % 33.99/9.68 | (465) ~ (e3 = e1) % 33.99/9.68 | % 33.99/9.68 | Simplifying 465 yields: % 33.99/9.68 | (136) ~ (e3 = e1) % 33.99/9.68 | % 33.99/9.68 | Equations (600) can reduce 260 to: % 33.99/9.68 | (565) ~ (e2 = e1) % 33.99/9.68 | % 33.99/9.68 | Simplifying 565 yields: % 33.99/9.68 | (144) ~ (e2 = e1) % 33.99/9.68 | % 33.99/9.68 | From (600) and (16) follows: % 33.99/9.68 | (4284) op(e1, e0) = all_0_37_37 % 33.99/9.68 | % 33.99/9.68 +-Applying beta-rule and splitting (27), into two cases. % 33.99/9.68 |-Branch one: % 33.99/9.68 | (705) all_0_44_44 = e1 % 33.99/9.68 | % 33.99/9.68 | Combining equations (705,1096) yields a new equation: % 33.99/9.68 | (541) e4 = e1 % 33.99/9.68 | % 33.99/9.68 | Equations (541) can reduce 247 to: % 33.99/9.68 | (303) $false % 33.99/9.68 | % 33.99/9.68 |-The branch is then unsatisfiable % 33.99/9.68 |-Branch two: % 33.99/9.68 | (512) ~ (all_0_44_44 = e1) % 33.99/9.68 | (1589) all_0_51_51 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1 % 33.99/9.68 | % 33.99/9.68 +-Applying beta-rule and splitting (803), into two cases. % 33.99/9.68 |-Branch one: % 33.99/9.68 | (1580) all_0_49_49 = e1 % 33.99/9.68 | % 33.99/9.68 | Combining equations (368,1580) yields a new equation: % 33.99/9.68 | (584) e2 = e1 % 33.99/9.68 | % 33.99/9.68 | Simplifying 584 yields: % 33.99/9.68 | (585) e2 = e1 % 33.99/9.68 | % 33.99/9.68 | Equations (585) can reduce 144 to: % 33.99/9.68 | (303) $false % 33.99/9.68 | % 33.99/9.68 |-The branch is then unsatisfiable % 33.99/9.68 |-Branch two: % 33.99/9.68 | (506) ~ (all_0_49_49 = e1) % 33.99/9.68 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 33.99/9.68 | % 33.99/9.68 | Equations (368) can reduce 506 to: % 33.99/9.68 | (144) ~ (e2 = e1) % 33.99/9.68 | % 33.99/9.68 +-Applying beta-rule and splitting (1589), into two cases. % 33.99/9.68 |-Branch one: % 33.99/9.68 | (1590) all_0_51_51 = e1 % 33.99/9.68 | % 33.99/9.68 | Equations (1590) can reduce 373 to: % 33.99/9.68 | (565) ~ (e2 = e1) % 33.99/9.68 | % 33.99/9.68 | Simplifying 565 yields: % 33.99/9.68 | (144) ~ (e2 = e1) % 33.99/9.68 | % 33.99/9.68 | Equations (1590) can reduce 2347 to: % 33.99/9.68 | (134) ~ (e1 = e0) % 33.99/9.68 | % 33.99/9.68 | From (1590) and (18) follows: % 33.99/9.68 | (6460) op(e1, e0) = all_0_22_22 % 33.99/9.68 | % 33.99/9.68 | Instantiating formula (29) with e4, e4, all_0_32_32, all_0_7_7 and discharging atoms op(e4, e4) = all_0_7_7, op(e4, e4) = all_0_32_32, yields: % 33.99/9.68 | (3592) all_0_7_7 = all_0_32_32 % 33.99/9.68 | % 33.99/9.68 | Instantiating formula (29) with e4, e4, e2, all_0_7_7 and discharging atoms op(e4, e4) = all_0_7_7, op(e4, e4) = e2, yields: % 33.99/9.68 | (5545) all_0_7_7 = e2 % 33.99/9.68 | % 33.99/9.68 | Instantiating formula (29) with e4, e1, e3, all_0_20_20 and discharging atoms op(e4, e1) = all_0_20_20, op(e4, e1) = e3, yields: % 33.99/9.68 | (6036) all_0_20_20 = e3 % 33.99/9.68 | % 33.99/9.68 | Instantiating formula (29) with e3, e1, all_0_6_6, e2 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = e2, yields: % 33.99/9.68 | (3326) all_0_6_6 = e2 % 33.99/9.68 | % 33.99/9.68 | Instantiating formula (29) with e3, e1, all_0_25_25, all_0_6_6 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = all_0_25_25, yields: % 33.99/9.68 | (6038) all_0_6_6 = all_0_25_25 % 33.99/9.68 | % 33.99/9.68 | Instantiating formula (29) with e1, e4, all_0_24_24, all_0_1_1 and discharging atoms op(e1, e4) = all_0_1_1, op(e1, e4) = all_0_24_24, yields: % 33.99/9.68 | (6526) all_0_1_1 = all_0_24_24 % 33.99/9.68 | % 33.99/9.68 | Instantiating formula (29) with e1, e4, e1, all_0_1_1 and discharging atoms op(e1, e4) = all_0_1_1, op(e1, e4) = e1, yields: % 33.99/9.68 | (6527) all_0_1_1 = e1 % 33.99/9.68 | % 33.99/9.68 | Instantiating formula (29) with e1, e0, all_0_37_37, all_0_22_22 and discharging atoms op(e1, e0) = all_0_22_22, op(e1, e0) = all_0_37_37, yields: % 33.99/9.68 | (6528) all_0_22_22 = all_0_37_37 % 33.99/9.68 | % 33.99/9.68 | Instantiating formula (29) with e1, e0, e2, all_0_22_22 and discharging atoms op(e1, e0) = all_0_22_22, op(e1, e0) = e2, yields: % 33.99/9.68 | (3575) all_0_22_22 = e2 % 33.99/9.68 | % 33.99/9.68 | Combining equations (6527,6526) yields a new equation: % 33.99/9.68 | (3580) all_0_24_24 = e1 % 33.99/9.68 | % 33.99/9.68 | Combining equations (6038,3326) yields a new equation: % 33.99/9.68 | (16636) all_0_25_25 = e2 % 33.99/9.68 | % 33.99/9.68 | Simplifying 16636 yields: % 33.99/9.68 | (2621) all_0_25_25 = e2 % 33.99/9.68 | % 33.99/9.69 | Combining equations (3592,5545) yields a new equation: % 33.99/9.69 | (15602) all_0_32_32 = e2 % 33.99/9.69 | % 33.99/9.69 | Simplifying 15602 yields: % 33.99/9.69 | (10938) all_0_32_32 = e2 % 33.99/9.69 | % 33.99/9.69 | Combining equations (6528,3575) yields a new equation: % 33.99/9.69 | (16640) all_0_37_37 = e2 % 33.99/9.69 | % 33.99/9.69 | Simplifying 16640 yields: % 33.99/9.69 | (16641) all_0_37_37 = e2 % 33.99/9.69 | % 33.99/9.69 | From (10938) and (10915) follows: % 33.99/9.69 | (1123) op(e4, e4) = e2 % 33.99/9.69 | % 33.99/9.69 | From (6036) and (6028) follows: % 33.99/9.69 | (3299) op(e4, e1) = e3 % 33.99/9.69 | % 33.99/9.69 | From (2621) and (2593) follows: % 33.99/9.69 | (266) op(e3, e1) = e2 % 33.99/9.69 | % 33.99/9.69 | From (3580) and (6468) follows: % 33.99/9.69 | (1178) op(e1, e4) = e1 % 33.99/9.69 | % 33.99/9.69 | From (16641) and (4284) follows: % 33.99/9.69 | (16398) op(e1, e0) = e2 % 33.99/9.69 | % 33.99/9.69 +-Applying beta-rule and splitting (62), into two cases. % 33.99/9.69 |-Branch one: % 33.99/9.69 | (631) unit = e2 % 33.99/9.69 | % 33.99/9.69 | From (631) and (98) follows: % 33.99/9.69 | (5015) op(e3, e2) = e3 % 33.99/9.69 | % 33.99/9.69 | From (631) and (74) follows: % 33.99/9.69 | (2715) op(e2, e2) = e2 % 33.99/9.69 | % 33.99/9.69 | From (631) and (111) follows: % 33.99/9.69 | (1167) op(e0, e2) = e0 % 33.99/9.69 | % 33.99/9.69 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 33.99/9.69 | (601) e3 = e1 % 33.99/9.69 | % 33.99/9.69 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 33.99/9.69 | (453) e3 = e2 % 33.99/9.69 | % 33.99/9.69 | Instantiating formula (29) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 33.99/9.69 | (385) e2 = e0 % 33.99/9.69 | % 33.99/9.69 | Combining equations (453,601) yields a new equation: % 33.99/9.69 | (584) e2 = e1 % 33.99/9.69 | % 33.99/9.69 | Simplifying 584 yields: % 33.99/9.69 | (585) e2 = e1 % 33.99/9.69 | % 33.99/9.69 | Combining equations (585,385) yields a new equation: % 33.99/9.69 | (670) e1 = e0 % 33.99/9.69 | % 33.99/9.69 | Simplifying 670 yields: % 33.99/9.69 | (590) e1 = e0 % 33.99/9.69 | % 33.99/9.69 | Equations (590) can reduce 134 to: % 33.99/9.69 | (303) $false % 33.99/9.69 | % 33.99/9.69 |-The branch is then unsatisfiable % 33.99/9.69 |-Branch two: % 33.99/9.69 | (599) ~ (unit = e2) % 33.99/9.69 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 33.99/9.69 | % 33.99/9.69 +-Applying beta-rule and splitting (634), into two cases. % 33.99/9.69 |-Branch one: % 33.99/9.69 | (635) unit = e4 % 33.99/9.69 | % 33.99/9.69 | From (635) and (130) follows: % 33.99/9.69 | (1177) op(e4, e4) = e4 % 33.99/9.69 | % 33.99/9.69 | From (635) and (111) follows: % 33.99/9.69 | (638) op(e0, e4) = e0 % 33.99/9.69 | % 33.99/9.69 | Instantiating formula (29) with e4, e4, e4, e2 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e2, yields: % 33.99/9.69 | (470) e4 = e2 % 33.99/9.69 | % 33.99/9.69 | Instantiating formula (29) with e0, e4, e0, e4 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e0, yields: % 33.99/9.69 | (654) e4 = e0 % 33.99/9.69 | % 33.99/9.69 | Combining equations (470,654) yields a new equation: % 33.99/9.69 | (403) e2 = e0 % 33.99/9.69 | % 33.99/9.69 | Simplifying 403 yields: % 33.99/9.69 | (385) e2 = e0 % 33.99/9.69 | % 33.99/9.69 | Equations (385) can reduce 51 to: % 33.99/9.69 | (303) $false % 33.99/9.69 | % 33.99/9.69 |-The branch is then unsatisfiable % 33.99/9.69 |-Branch two: % 33.99/9.69 | (484) ~ (unit = e4) % 33.99/9.69 | (647) unit = e3 | unit = e1 | unit = e0 % 33.99/9.69 | % 33.99/9.69 +-Applying beta-rule and splitting (647), into two cases. % 33.99/9.69 |-Branch one: % 33.99/9.69 | (648) unit = e1 % 33.99/9.69 | % 33.99/9.69 | From (648) and (17) follows: % 33.99/9.69 | (649) op(e1, e4) = e4 % 33.99/9.69 | % 33.99/9.69 | From (648) and (189) follows: % 33.99/9.69 | (651) op(e1, e0) = e0 % 33.99/9.69 | % 33.99/9.69 | From (648) and (130) follows: % 33.99/9.69 | (617) op(e4, e1) = e4 % 33.99/9.69 | % 33.99/9.69 | From (648) and (98) follows: % 33.99/9.69 | (1862) op(e3, e1) = e3 % 33.99/9.69 | % 33.99/9.69 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 33.99/9.69 | (443) e4 = e3 % 33.99/9.69 | % 33.99/9.69 | Instantiating formula (29) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields: % 33.99/9.69 | (453) e3 = e2 % 33.99/9.69 | % 33.99/9.69 | Instantiating formula (29) with e1, e4, e4, e1 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields: % 33.99/9.69 | (541) e4 = e1 % 33.99/9.69 | % 33.99/9.69 | Instantiating formula (29) with e1, e0, e0, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e0, yields: % 33.99/9.69 | (385) e2 = e0 % 33.99/9.69 | % 33.99/9.69 | Combining equations (443,541) yields a new equation: % 33.99/9.69 | (680) e3 = e1 % 33.99/9.69 | % 33.99/9.69 | Simplifying 680 yields: % 33.99/9.69 | (601) e3 = e1 % 33.99/9.69 | % 33.99/9.69 | Combining equations (601,453) yields a new equation: % 33.99/9.69 | (585) e2 = e1 % 33.99/9.69 | % 33.99/9.69 | Combining equations (585,385) yields a new equation: % 33.99/9.69 | (670) e1 = e0 % 33.99/9.69 | % 33.99/9.69 | Simplifying 670 yields: % 33.99/9.69 | (590) e1 = e0 % 33.99/9.69 | % 33.99/9.69 | Equations (590) can reduce 134 to: % 33.99/9.69 | (303) $false % 33.99/9.69 | % 33.99/9.69 |-The branch is then unsatisfiable % 33.99/9.69 |-Branch two: % 33.99/9.69 | (510) ~ (unit = e1) % 33.99/9.69 | (659) unit = e3 | unit = e0 % 33.99/9.69 | % 33.99/9.69 +-Applying beta-rule and splitting (659), into two cases. % 33.99/9.69 |-Branch one: % 33.99/9.69 | (660) unit = e0 % 33.99/9.69 | % 33.99/9.69 | From (660) and (190) follows: % 33.99/9.69 | (665) op(e1, e0) = e1 % 33.99/9.69 | % 33.99/9.69 | Instantiating formula (29) with e1, e0, e1, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e1, yields: % 33.99/9.69 | (585) e2 = e1 % 33.99/9.69 | % 33.99/9.69 | Equations (585) can reduce 144 to: % 33.99/9.69 | (303) $false % 33.99/9.69 | % 33.99/9.69 |-The branch is then unsatisfiable % 33.99/9.69 |-Branch two: % 33.99/9.69 | (537) ~ (unit = e0) % 33.99/9.69 | (674) unit = e3 % 33.99/9.69 | % 33.99/9.69 | Equations (674) can reduce 520 to: % 33.99/9.69 | (303) $false % 33.99/9.69 | % 33.99/9.69 |-The branch is then unsatisfiable % 33.99/9.69 |-Branch two: % 33.99/9.69 | (500) ~ (all_0_51_51 = e1) % 33.99/9.69 | (1594) all_0_55_55 = e1 | all_0_60_60 = e1 % 33.99/9.69 | % 33.99/9.69 +-Applying beta-rule and splitting (1594), into two cases. % 33.99/9.69 |-Branch one: % 33.99/9.69 | (530) all_0_55_55 = e1 % 33.99/9.69 | % 33.99/9.69 | Combining equations (530,932) yields a new equation: % 33.99/9.69 | (585) e2 = e1 % 33.99/9.69 | % 33.99/9.69 | Equations (585) can reduce 144 to: % 33.99/9.69 | (303) $false % 33.99/9.69 | % 33.99/9.69 |-The branch is then unsatisfiable % 33.99/9.69 |-Branch two: % 33.99/9.69 | (464) ~ (all_0_55_55 = e1) % 33.99/9.69 | (604) all_0_60_60 = e1 % 33.99/9.69 | % 33.99/9.69 | Combining equations (604,1937) yields a new equation: % 33.99/9.69 | (601) e3 = e1 % 33.99/9.69 | % 33.99/9.69 | Equations (601) can reduce 136 to: % 33.99/9.69 | (303) $false % 33.99/9.69 | % 33.99/9.69 |-The branch is then unsatisfiable % 33.99/9.69 |-Branch two: % 33.99/9.69 | (603) ~ (all_0_59_59 = e1) % 33.99/9.69 | (604) all_0_60_60 = e1 % 33.99/9.69 | % 33.99/9.69 | Combining equations (604,1937) yields a new equation: % 33.99/9.69 | (601) e3 = e1 % 33.99/9.69 | % 33.99/9.69 | Equations (601) can reduce 136 to: % 33.99/9.69 | (303) $false % 33.99/9.69 | % 33.99/9.69 |-The branch is then unsatisfiable % 33.99/9.69 |-Branch two: % 33.99/9.69 | (474) ~ (all_0_44_44 = e4) % 33.99/9.69 | (1500) all_0_51_51 = e4 | all_0_55_55 = e4 | all_0_60_60 = e4 % 33.99/9.69 | % 33.99/9.69 +-Applying beta-rule and splitting (87), into two cases. % 33.99/9.69 |-Branch one: % 33.99/9.69 | (572) all_0_44_44 = e2 % 33.99/9.69 | % 33.99/9.69 | Equations (572) can reduce 915 to: % 33.99/9.69 | (303) $false % 33.99/9.69 | % 33.99/9.69 |-The branch is then unsatisfiable % 33.99/9.69 |-Branch two: % 33.99/9.69 | (915) ~ (all_0_44_44 = e2) % 33.99/9.69 | (2069) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 33.99/9.69 | % 33.99/9.69 +-Applying beta-rule and splitting (2069), into two cases. % 33.99/9.69 |-Branch one: % 33.99/9.69 | (1096) all_0_44_44 = e4 % 33.99/9.69 | % 33.99/9.69 | Equations (1096) can reduce 474 to: % 33.99/9.69 | (303) $false % 33.99/9.69 | % 33.99/9.69 |-The branch is then unsatisfiable % 33.99/9.69 |-Branch two: % 33.99/9.69 | (474) ~ (all_0_44_44 = e4) % 33.99/9.69 | (2073) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 33.99/9.69 | % 33.99/9.69 +-Applying beta-rule and splitting (6577), into two cases. % 33.99/9.69 |-Branch one: % 33.99/9.69 | (3175) all_0_42_42 = e4 % 33.99/9.69 | % 33.99/9.69 | Combining equations (324,3175) yields a new equation: % 33.99/9.69 | (654) e4 = e0 % 33.99/9.69 | % 33.99/9.69 | Equations (654) can reduce 4 to: % 33.99/9.69 | (303) $false % 33.99/9.69 | % 33.99/9.69 |-The branch is then unsatisfiable % 33.99/9.69 |-Branch two: % 33.99/9.69 | (6245) ~ (all_0_42_42 = e4) % 33.99/9.70 | (6600) all_0_43_43 = e4 | all_0_44_44 = e4 % 33.99/9.70 | % 33.99/9.70 +-Applying beta-rule and splitting (6600), into two cases. % 33.99/9.70 |-Branch one: % 33.99/9.70 | (614) all_0_43_43 = e4 % 33.99/9.70 | % 33.99/9.70 | Combining equations (447,614) yields a new equation: % 33.99/9.70 | (443) e4 = e3 % 33.99/9.70 | % 33.99/9.70 | Equations (443) can reduce 30 to: % 33.99/9.70 | (303) $false % 33.99/9.70 | % 33.99/9.70 |-The branch is then unsatisfiable % 33.99/9.70 |-Branch two: % 33.99/9.70 | (712) ~ (all_0_43_43 = e4) % 33.99/9.70 | (1096) all_0_44_44 = e4 % 33.99/9.70 | % 33.99/9.70 | Equations (1096) can reduce 474 to: % 33.99/9.70 | (303) $false % 33.99/9.70 | % 33.99/9.70 |-The branch is then unsatisfiable % 33.99/9.70 |-Branch two: % 33.99/9.70 | (611) ~ (all_0_50_50 = e4) % 33.99/9.70 | (717) all_0_59_59 = e4 % 33.99/9.70 | % 33.99/9.70 | Equations (717) can reduce 348 to: % 33.99/9.70 | (303) $false % 33.99/9.70 | % 33.99/9.70 |-The branch is then unsatisfiable % 33.99/9.70 |-Branch two: % 33.99/9.70 | (699) ~ (all_0_41_41 = e1) % 33.99/9.70 | (2158) all_0_41_41 = e3 | all_0_41_41 = e0 % 33.99/9.70 | % 33.99/9.70 +-Applying beta-rule and splitting (221), into two cases. % 33.99/9.70 |-Branch one: % 33.99/9.70 | (696) all_0_41_41 = e1 % 33.99/9.70 | % 33.99/9.70 | Equations (696) can reduce 699 to: % 33.99/9.70 | (303) $false % 33.99/9.70 | % 33.99/9.70 |-The branch is then unsatisfiable % 33.99/9.70 |-Branch two: % 33.99/9.70 | (699) ~ (all_0_41_41 = e1) % 33.99/9.70 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 33.99/9.70 | % 33.99/9.70 +-Applying beta-rule and splitting (2154), into two cases. % 33.99/9.70 |-Branch one: % 33.99/9.70 | (1580) all_0_49_49 = e1 % 33.99/9.70 | % 33.99/9.70 | Combining equations (368,1580) yields a new equation: % 33.99/9.70 | (584) e2 = e1 % 33.99/9.70 | % 33.99/9.70 | Simplifying 584 yields: % 33.99/9.70 | (585) e2 = e1 % 33.99/9.70 | % 33.99/9.70 | Equations (585) can reduce 144 to: % 33.99/9.70 | (303) $false % 33.99/9.70 | % 33.99/9.70 |-The branch is then unsatisfiable % 33.99/9.70 |-Branch two: % 33.99/9.70 | (506) ~ (all_0_49_49 = e1) % 33.99/9.70 | (2676) all_0_53_53 = e1 | all_0_57_57 = e1 % 33.99/9.70 | % 33.99/9.70 +-Applying beta-rule and splitting (2676), into two cases. % 33.99/9.70 |-Branch one: % 33.99/9.70 | (462) all_0_53_53 = e1 % 33.99/9.70 | % 33.99/9.70 | Combining equations (994,462) yields a new equation: % 33.99/9.70 | (680) e3 = e1 % 33.99/9.70 | % 33.99/9.70 | Simplifying 680 yields: % 33.99/9.70 | (601) e3 = e1 % 33.99/9.70 | % 33.99/9.70 | Equations (601) can reduce 136 to: % 33.99/9.70 | (303) $false % 33.99/9.70 | % 33.99/9.70 |-The branch is then unsatisfiable % 33.99/9.70 |-Branch two: % 33.99/9.70 | (509) ~ (all_0_53_53 = e1) % 33.99/9.70 | (589) all_0_57_57 = e1 % 33.99/9.70 | % 33.99/9.70 | Combining equations (407,589) yields a new equation: % 33.99/9.70 | (590) e1 = e0 % 33.99/9.70 | % 33.99/9.70 | Equations (590) can reduce 134 to: % 33.99/9.70 | (303) $false % 33.99/9.70 | % 33.99/9.70 |-The branch is then unsatisfiable % 33.99/9.70 |-Branch two: % 33.99/9.70 | (434) ~ (all_0_43_43 = e3) % 33.99/9.70 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 33.99/9.70 | % 33.99/9.70 +-Applying beta-rule and splitting (200), into two cases. % 33.99/9.70 |-Branch one: % 33.99/9.70 | (1102) all_0_40_40 = e3 % 33.99/9.70 | % 33.99/9.70 | Combining equations (917,1102) yields a new equation: % 33.99/9.70 | (453) e3 = e2 % 33.99/9.70 | % 33.99/9.70 | Equations (453) can reduce 223 to: % 33.99/9.70 | (303) $false % 33.99/9.70 | % 33.99/9.70 |-The branch is then unsatisfiable % 33.99/9.70 |-Branch two: % 33.99/9.70 | (432) ~ (all_0_40_40 = e3) % 33.99/9.70 | (2138) all_0_41_41 = e3 | all_0_43_43 = e3 | all_0_44_44 = e3 % 33.99/9.70 | % 33.99/9.70 +-Applying beta-rule and splitting (979), into two cases. % 33.99/9.70 |-Branch one: % 33.99/9.70 | (877) all_0_56_56 = e4 % 33.99/9.70 | % 33.99/9.70 | Equations (877) can reduce 526 to: % 33.99/9.70 | (30) ~ (e4 = e3) % 33.99/9.70 | % 33.99/9.70 +-Applying beta-rule and splitting (180), into two cases. % 33.99/9.70 |-Branch one: % 33.99/9.70 | (945) all_0_41_41 = e2 % 33.99/9.70 | % 33.99/9.70 | Equations (945) can reduce 369 to: % 33.99/9.70 | (303) $false % 33.99/9.70 | % 33.99/9.70 |-The branch is then unsatisfiable % 33.99/9.70 |-Branch two: % 33.99/9.70 | (369) ~ (all_0_41_41 = e2) % 33.99/9.70 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 33.99/9.70 | % 33.99/9.70 +-Applying beta-rule and splitting (1017), into two cases. % 33.99/9.70 |-Branch one: % 33.99/9.70 | (696) all_0_41_41 = e1 % 33.99/9.70 | % 33.99/9.70 | Equations (696) can reduce 996 to: % 33.99/9.70 | (465) ~ (e3 = e1) % 33.99/9.70 | % 33.99/9.70 | Simplifying 465 yields: % 33.99/9.70 | (136) ~ (e3 = e1) % 33.99/9.70 | % 33.99/9.70 +-Applying beta-rule and splitting (209), into two cases. % 33.99/9.70 |-Branch one: % 33.99/9.70 | (1111) all_0_56_56 = e3 % 33.99/9.70 | % 33.99/9.70 | Combining equations (877,1111) yields a new equation: % 33.99/9.70 | (718) e4 = e3 % 33.99/9.70 | % 33.99/9.70 | Simplifying 718 yields: % 33.99/9.70 | (443) e4 = e3 % 33.99/9.70 | % 33.99/9.70 | Equations (443) can reduce 30 to: % 33.99/9.70 | (303) $false % 33.99/9.70 | % 33.99/9.70 |-The branch is then unsatisfiable % 33.99/9.70 |-Branch two: % 33.99/9.70 | (526) ~ (all_0_56_56 = e3) % 33.99/9.70 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 33.99/9.70 | % 33.99/9.70 +-Applying beta-rule and splitting (2138), into two cases. % 33.99/9.70 |-Branch one: % 33.99/9.70 | (431) all_0_41_41 = e3 % 33.99/9.70 | % 33.99/9.70 | Combining equations (696,431) yields a new equation: % 33.99/9.70 | (601) e3 = e1 % 33.99/9.70 | % 33.99/9.70 | Equations (601) can reduce 136 to: % 33.99/9.70 | (303) $false % 33.99/9.70 | % 33.99/9.70 |-The branch is then unsatisfiable % 33.99/9.70 |-Branch two: % 33.99/9.70 | (996) ~ (all_0_41_41 = e3) % 33.99/9.70 | (5989) all_0_43_43 = e3 | all_0_44_44 = e3 % 33.99/9.70 | % 33.99/9.70 +-Applying beta-rule and splitting (1491), into two cases. % 33.99/9.70 |-Branch one: % 33.99/9.70 | (1001) all_0_57_57 = e3 % 33.99/9.70 | % 33.99/9.70 | Combining equations (1001,407) yields a new equation: % 33.99/9.70 | (496) e3 = e0 % 33.99/9.70 | % 33.99/9.70 | Simplifying 496 yields: % 33.99/9.70 | (497) e3 = e0 % 33.99/9.70 | % 33.99/9.70 | Equations (497) can reduce 70 to: % 33.99/9.70 | (303) $false % 33.99/9.70 | % 33.99/9.70 |-The branch is then unsatisfiable % 33.99/9.70 |-Branch two: % 33.99/9.70 | (2590) ~ (all_0_57_57 = e3) % 33.99/9.70 | (2977) all_0_59_59 = e3 | all_0_60_60 = e3 % 33.99/9.70 | % 33.99/9.70 +-Applying beta-rule and splitting (2977), into two cases. % 33.99/9.70 |-Branch one: % 33.99/9.70 | (456) all_0_59_59 = e3 % 33.99/9.70 | % 33.99/9.70 | Equations (456) can reduce 1031 to: % 33.99/9.70 | (303) $false % 33.99/9.70 | % 33.99/9.70 |-The branch is then unsatisfiable % 33.99/9.70 |-Branch two: % 33.99/9.70 | (1031) ~ (all_0_59_59 = e3) % 33.99/9.70 | (1937) all_0_60_60 = e3 % 33.99/9.70 | % 33.99/9.70 | Equations (1937) can reduce 165 to: % 33.99/9.70 | (310) ~ (all_0_44_44 = e3) % 33.99/9.70 | % 33.99/9.70 +-Applying beta-rule and splitting (5989), into two cases. % 33.99/9.70 |-Branch one: % 33.99/9.70 | (447) all_0_43_43 = e3 % 33.99/9.70 | % 33.99/9.70 | Equations (447) can reduce 434 to: % 33.99/9.70 | (303) $false % 33.99/9.70 | % 33.99/9.70 |-The branch is then unsatisfiable % 33.99/9.70 |-Branch two: % 33.99/9.70 | (434) ~ (all_0_43_43 = e3) % 33.99/9.70 | (2081) all_0_44_44 = e3 % 33.99/9.70 | % 33.99/9.70 | Equations (2081) can reduce 310 to: % 33.99/9.70 | (303) $false % 33.99/9.70 | % 33.99/9.70 |-The branch is then unsatisfiable % 33.99/9.70 |-Branch two: % 33.99/9.70 | (699) ~ (all_0_41_41 = e1) % 33.99/9.70 | (2158) all_0_41_41 = e3 | all_0_41_41 = e0 % 33.99/9.70 | % 33.99/9.70 +-Applying beta-rule and splitting (2158), into two cases. % 33.99/9.70 |-Branch one: % 33.99/9.70 | (398) all_0_41_41 = e0 % 33.99/9.70 | % 33.99/9.70 | Equations (398) can reduce 326 to: % 33.99/9.70 | (303) $false % 33.99/9.70 | % 33.99/9.70 |-The branch is then unsatisfiable % 33.99/9.70 |-Branch two: % 33.99/9.70 | (326) ~ (all_0_41_41 = e0) % 33.99/9.70 | (431) all_0_41_41 = e3 % 33.99/9.70 | % 33.99/9.70 | Equations (431) can reduce 996 to: % 33.99/9.70 | (303) $false % 33.99/9.70 | % 33.99/9.70 |-The branch is then unsatisfiable % 33.99/9.70 |-Branch two: % 33.99/9.70 | (345) ~ (all_0_56_56 = e4) % 33.99/9.70 | (2325) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 33.99/9.70 | % 33.99/9.70 +-Applying beta-rule and splitting (2325), into two cases. % 33.99/9.70 |-Branch one: % 33.99/9.70 | (583) all_0_56_56 = e1 % 33.99/9.70 | % 33.99/9.70 | Equations (583) can reduce 587 to: % 33.99/9.70 | (303) $false % 33.99/9.70 | % 33.99/9.70 |-The branch is then unsatisfiable % 33.99/9.70 |-Branch two: % 33.99/9.70 | (587) ~ (all_0_56_56 = e1) % 33.99/9.70 | (2329) all_0_56_56 = e3 | all_0_56_56 = e0 % 33.99/9.70 | % 33.99/9.70 +-Applying beta-rule and splitting (2329), into two cases. % 33.99/9.70 |-Branch one: % 33.99/9.70 | (2307) all_0_56_56 = e0 % 33.99/9.70 | % 33.99/9.70 | Equations (2307) can reduce 296 to: % 33.99/9.70 | (303) $false % 33.99/9.70 | % 33.99/9.70 |-The branch is then unsatisfiable % 33.99/9.70 |-Branch two: % 33.99/9.70 | (296) ~ (all_0_56_56 = e0) % 33.99/9.70 | (1111) all_0_56_56 = e3 % 33.99/9.70 | % 33.99/9.70 | Equations (1111) can reduce 526 to: % 33.99/9.70 | (303) $false % 33.99/9.70 | % 33.99/9.70 |-The branch is then unsatisfiable % 33.99/9.70 |-Branch two: % 33.99/9.70 | (456) all_0_59_59 = e3 % 33.99/9.70 | (589) all_0_57_57 = e1 % 33.99/9.70 | % 33.99/9.70 | Combining equations (407,589) yields a new equation: % 33.99/9.70 | (590) e1 = e0 % 33.99/9.70 | % 33.99/9.70 | Equations (590) can reduce 134 to: % 33.99/9.70 | (303) $false % 33.99/9.70 | % 33.99/9.70 |-The branch is then unsatisfiable % 33.99/9.70 |-Branch two: % 33.99/9.70 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 33.99/9.70 | % 33.99/9.70 | Applying alpha-rule on (528) yields: % 33.99/9.70 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 33.99/9.70 | (530) all_0_55_55 = e1 % 33.99/9.70 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 33.99/9.70 | (387) ~ (all_0_49_49 = e0) % 33.99/9.70 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 33.99/9.70 | (534) ~ (all_0_45_45 = e0) % 33.99/9.70 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 33.99/9.70 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 33.99/9.70 | (537) ~ (unit = e0) % 33.99/9.70 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 33.99/9.70 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 33.99/9.70 | % 33.99/9.70 | Combining equations (932,530) yields a new equation: % 33.99/9.70 | (584) e2 = e1 % 33.99/9.70 | % 33.99/9.70 | Simplifying 584 yields: % 33.99/9.70 | (585) e2 = e1 % 33.99/9.70 | % 33.99/9.70 | Equations (585) can reduce 144 to: % 33.99/9.70 | (303) $false % 33.99/9.70 | % 33.99/9.70 |-The branch is then unsatisfiable % 33.99/9.70 |-Branch two: % 33.99/9.70 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 33.99/9.70 | % 33.99/9.70 | Applying alpha-rule on (543) yields: % 33.99/9.70 | (544) ~ (all_0_48_48 = e2) % 33.99/9.70 | (369) ~ (all_0_41_41 = e2) % 33.99/9.70 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 33.99/9.70 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 33.99/9.70 | (253) ~ (all_0_43_43 = e2) % 33.99/9.70 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 33.99/9.70 | (276) ~ (all_0_55_55 = e2) % 33.99/9.70 | (260) ~ (all_0_59_59 = e2) % 33.99/9.70 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 33.99/9.70 | (274) ~ (all_0_53_53 = e2) % 33.99/9.70 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 33.99/9.70 | (373) ~ (all_0_51_51 = e2) % 33.99/9.70 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 33.99/9.70 | (256) ~ (all_0_47_47 = e2) % 33.99/9.70 | (377) ~ (all_0_57_57 = e2) % 33.99/9.70 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 33.99/9.70 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 33.99/9.70 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 33.99/9.70 | (258) ~ (all_0_50_50 = e2) % 33.99/9.70 | (254) ~ (all_0_45_45 = e2) % 33.99/9.70 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 33.99/9.70 | % 33.99/9.70 | Equations (932) can reduce 276 to: % 33.99/9.70 | (303) $false % 33.99/9.70 | % 33.99/9.70 |-The branch is then unsatisfiable % 33.99/9.70 |-Branch two: % 33.99/9.70 | (939) ~ (all_0_40_40 = e2) % 33.99/9.70 | (944) all_0_45_45 = e2 | all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 33.99/9.70 | % 33.99/9.70 +-Applying beta-rule and splitting (56), into two cases. % 33.99/9.70 |-Branch one: % 33.99/9.70 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 33.99/9.70 | % 33.99/9.70 +-Applying beta-rule and splitting (480), into two cases. % 33.99/9.70 |-Branch one: % 33.99/9.70 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 33.99/9.70 | % 33.99/9.70 +-Applying beta-rule and splitting (481), into two cases. % 33.99/9.70 |-Branch one: % 33.99/9.70 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 33.99/9.70 | % 33.99/9.70 +-Applying beta-rule and splitting (482), into two cases. % 33.99/9.70 |-Branch one: % 33.99/9.70 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 33.99/9.70 | % 33.99/9.70 | Applying alpha-rule on (483) yields: % 33.99/9.70 | (484) ~ (unit = e4) % 33.99/9.70 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 33.99/9.70 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 33.99/9.70 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 33.99/9.70 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 33.99/9.70 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 33.99/9.70 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 33.99/9.70 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 33.99/9.70 | (492) ~ (all_0_55_55 = e4) % 33.99/9.70 | (493) all_0_45_45 = e3 % 33.99/9.70 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 33.99/9.70 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 33.99/9.70 | % 33.99/9.70 +-Applying beta-rule and splitting (485), into two cases. % 33.99/9.70 |-Branch one: % 33.99/9.70 | (472) ~ (all_0_54_54 = e4) % 33.99/9.70 | % 33.99/9.71 | Equations (469) can reduce 472 to: % 33.99/9.71 | (303) $false % 33.99/9.71 | % 33.99/9.71 |-The branch is then unsatisfiable % 33.99/9.71 |-Branch two: % 33.99/9.71 | (469) all_0_54_54 = e4 % 33.99/9.71 | (980) all_0_52_52 = e2 % 33.99/9.71 | % 33.99/9.71 | Combining equations (1070,980) yields a new equation: % 33.99/9.71 | (585) e2 = e1 % 33.99/9.71 | % 33.99/9.71 | Equations (585) can reduce 144 to: % 33.99/9.71 | (303) $false % 33.99/9.71 | % 33.99/9.71 |-The branch is then unsatisfiable % 33.99/9.71 |-Branch two: % 33.99/9.71 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 33.99/9.71 | % 33.99/9.71 | Applying alpha-rule on (499) yields: % 33.99/9.71 | (500) ~ (all_0_51_51 = e1) % 33.99/9.71 | (501) ~ (all_0_60_60 = e1) % 33.99/9.71 | (502) ~ (all_0_52_52 = e1) % 33.99/9.71 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 33.99/9.71 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 33.99/9.71 | (252) all_0_46_46 = e2 % 33.99/9.71 | (506) ~ (all_0_49_49 = e1) % 33.99/9.71 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 33.99/9.71 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 33.99/9.71 | (509) ~ (all_0_53_53 = e1) % 33.99/9.71 | (510) ~ (unit = e1) % 33.99/9.71 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 33.99/9.71 | (512) ~ (all_0_44_44 = e1) % 33.99/9.71 | % 33.99/9.71 | Equations (1070) can reduce 502 to: % 33.99/9.71 | (303) $false % 33.99/9.71 | % 33.99/9.71 |-The branch is then unsatisfiable % 33.99/9.71 |-Branch two: % 33.99/9.71 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 33.99/9.71 | % 33.99/9.71 | Applying alpha-rule on (514) yields: % 33.99/9.71 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 33.99/9.71 | (516) ~ (all_0_47_47 = e3) % 33.99/9.71 | (314) ~ (all_0_55_55 = e3) % 33.99/9.71 | (368) all_0_49_49 = e2 % 33.99/9.71 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 33.99/9.71 | (520) ~ (unit = e3) % 33.99/9.71 | (521) ~ (all_0_52_52 = e3) % 33.99/9.71 | (455) ~ (all_0_46_46 = e3) % 33.99/9.71 | (432) ~ (all_0_40_40 = e3) % 33.99/9.71 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 33.99/9.71 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 33.99/9.71 | (526) ~ (all_0_56_56 = e3) % 33.99/9.71 | % 33.99/9.71 | Equations (1070) can reduce 521 to: % 33.99/9.71 | (465) ~ (e3 = e1) % 33.99/9.71 | % 33.99/9.71 | Simplifying 465 yields: % 33.99/9.71 | (136) ~ (e3 = e1) % 33.99/9.71 | % 33.99/9.71 +-Applying beta-rule and splitting (180), into two cases. % 33.99/9.71 |-Branch one: % 33.99/9.71 | (945) all_0_41_41 = e2 % 33.99/9.71 | % 33.99/9.71 | Equations (945) can reduce 369 to: % 33.99/9.71 | (303) $false % 33.99/9.71 | % 33.99/9.71 |-The branch is then unsatisfiable % 33.99/9.71 |-Branch two: % 33.99/9.71 | (369) ~ (all_0_41_41 = e2) % 33.99/9.71 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 33.99/9.71 | % 33.99/9.71 +-Applying beta-rule and splitting (221), into two cases. % 33.99/9.71 |-Branch one: % 33.99/9.71 | (696) all_0_41_41 = e1 % 33.99/9.71 | % 33.99/9.71 | Equations (696) can reduce 369 to: % 33.99/9.71 | (565) ~ (e2 = e1) % 33.99/9.71 | % 33.99/9.71 | Simplifying 565 yields: % 33.99/9.71 | (144) ~ (e2 = e1) % 33.99/9.71 | % 33.99/9.71 +-Applying beta-rule and splitting (233), into two cases. % 33.99/9.71 |-Branch one: % 33.99/9.71 | (917) all_0_40_40 = e2 % 33.99/9.71 | % 33.99/9.71 | Equations (917) can reduce 939 to: % 33.99/9.71 | (303) $false % 33.99/9.71 | % 33.99/9.71 |-The branch is then unsatisfiable % 33.99/9.71 |-Branch two: % 33.99/9.71 | (939) ~ (all_0_40_40 = e2) % 33.99/9.71 | (2671) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 33.99/9.71 | % 33.99/9.71 +-Applying beta-rule and splitting (157), into two cases. % 33.99/9.71 |-Branch one: % 33.99/9.71 | (917) all_0_40_40 = e2 % 33.99/9.71 | % 33.99/9.71 | Equations (917) can reduce 939 to: % 33.99/9.71 | (303) $false % 33.99/9.71 | % 33.99/9.71 |-The branch is then unsatisfiable % 33.99/9.71 |-Branch two: % 33.99/9.71 | (939) ~ (all_0_40_40 = e2) % 33.99/9.71 | (940) all_0_41_41 = e2 | all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 33.99/9.71 | % 33.99/9.71 +-Applying beta-rule and splitting (940), into two cases. % 33.99/9.71 |-Branch one: % 33.99/9.71 | (945) all_0_41_41 = e2 % 33.99/9.71 | % 33.99/9.71 | Combining equations (696,945) yields a new equation: % 33.99/9.71 | (585) e2 = e1 % 33.99/9.71 | % 33.99/9.71 | Equations (585) can reduce 144 to: % 33.99/9.71 | (303) $false % 33.99/9.71 | % 33.99/9.71 |-The branch is then unsatisfiable % 33.99/9.71 |-Branch two: % 33.99/9.71 | (369) ~ (all_0_41_41 = e2) % 33.99/9.71 | (949) all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 33.99/9.71 | % 33.99/9.71 +-Applying beta-rule and splitting (949), into two cases. % 33.99/9.71 |-Branch one: % 33.99/9.71 | (959) all_0_42_42 = e2 % 33.99/9.71 | % 33.99/9.71 | Combining equations (324,959) yields a new equation: % 33.99/9.71 | (385) e2 = e0 % 33.99/9.71 | % 33.99/9.71 | Equations (385) can reduce 51 to: % 33.99/9.71 | (303) $false % 33.99/9.71 | % 33.99/9.71 |-The branch is then unsatisfiable % 33.99/9.71 |-Branch two: % 33.99/9.71 | (272) ~ (all_0_42_42 = e2) % 33.99/9.71 | (964) all_0_43_43 = e2 | all_0_44_44 = e2 % 33.99/9.71 | % 33.99/9.71 +-Applying beta-rule and splitting (964), into two cases. % 33.99/9.71 |-Branch one: % 33.99/9.71 | (965) all_0_43_43 = e2 % 33.99/9.71 | % 33.99/9.71 | Equations (965) can reduce 253 to: % 33.99/9.71 | (303) $false % 33.99/9.71 | % 33.99/9.71 |-The branch is then unsatisfiable % 33.99/9.71 |-Branch two: % 33.99/9.71 | (253) ~ (all_0_43_43 = e2) % 33.99/9.71 | (572) all_0_44_44 = e2 % 33.99/9.71 | % 33.99/9.71 | Equations (572) can reduce 915 to: % 33.99/9.71 | (303) $false % 33.99/9.71 | % 33.99/9.71 |-The branch is then unsatisfiable % 33.99/9.71 |-Branch two: % 33.99/9.71 | (699) ~ (all_0_41_41 = e1) % 33.99/9.71 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 33.99/9.71 | % 33.99/9.71 +-Applying beta-rule and splitting (2154), into two cases. % 33.99/9.71 |-Branch one: % 33.99/9.71 | (1580) all_0_49_49 = e1 % 33.99/9.71 | % 33.99/9.71 | Combining equations (368,1580) yields a new equation: % 33.99/9.71 | (584) e2 = e1 % 33.99/9.71 | % 33.99/9.71 | Simplifying 584 yields: % 33.99/9.71 | (585) e2 = e1 % 33.99/9.71 | % 33.99/9.71 | Equations (585) can reduce 144 to: % 33.99/9.71 | (303) $false % 33.99/9.71 | % 33.99/9.71 |-The branch is then unsatisfiable % 33.99/9.71 |-Branch two: % 33.99/9.71 | (506) ~ (all_0_49_49 = e1) % 33.99/9.71 | (2676) all_0_53_53 = e1 | all_0_57_57 = e1 % 33.99/9.71 | % 33.99/9.71 +-Applying beta-rule and splitting (2676), into two cases. % 33.99/9.71 |-Branch one: % 33.99/9.71 | (462) all_0_53_53 = e1 % 33.99/9.71 | % 33.99/9.71 | Combining equations (994,462) yields a new equation: % 33.99/9.71 | (680) e3 = e1 % 33.99/9.71 | % 33.99/9.71 | Simplifying 680 yields: % 33.99/9.71 | (601) e3 = e1 % 33.99/9.71 | % 33.99/9.71 | Equations (601) can reduce 136 to: % 33.99/9.71 | (303) $false % 33.99/9.71 | % 33.99/9.71 |-The branch is then unsatisfiable % 33.99/9.71 |-Branch two: % 33.99/9.71 | (509) ~ (all_0_53_53 = e1) % 33.99/9.71 | (589) all_0_57_57 = e1 % 33.99/9.71 | % 33.99/9.71 | Combining equations (589,407) yields a new equation: % 33.99/9.71 | (670) e1 = e0 % 33.99/9.71 | % 33.99/9.71 | Simplifying 670 yields: % 33.99/9.71 | (590) e1 = e0 % 33.99/9.71 | % 33.99/9.71 | Equations (590) can reduce 134 to: % 33.99/9.71 | (303) $false % 33.99/9.71 | % 33.99/9.71 |-The branch is then unsatisfiable % 33.99/9.71 |-Branch two: % 33.99/9.71 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 33.99/9.71 | % 33.99/9.71 | Applying alpha-rule on (528) yields: % 33.99/9.71 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 33.99/9.71 | (530) all_0_55_55 = e1 % 33.99/9.71 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 33.99/9.71 | (387) ~ (all_0_49_49 = e0) % 33.99/9.71 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 33.99/9.71 | (534) ~ (all_0_45_45 = e0) % 33.99/9.71 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 33.99/9.71 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 33.99/9.71 | (537) ~ (unit = e0) % 33.99/9.71 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 33.99/9.71 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 33.99/9.71 | % 33.99/9.71 | Combining equations (932,530) yields a new equation: % 33.99/9.71 | (584) e2 = e1 % 33.99/9.71 | % 33.99/9.71 | Simplifying 584 yields: % 33.99/9.71 | (585) e2 = e1 % 33.99/9.71 | % 33.99/9.71 | Equations (585) can reduce 144 to: % 33.99/9.71 | (303) $false % 33.99/9.71 | % 33.99/9.71 |-The branch is then unsatisfiable % 33.99/9.71 |-Branch two: % 33.99/9.71 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 33.99/9.71 | % 33.99/9.71 | Applying alpha-rule on (543) yields: % 33.99/9.71 | (544) ~ (all_0_48_48 = e2) % 33.99/9.71 | (369) ~ (all_0_41_41 = e2) % 33.99/9.71 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 33.99/9.71 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 33.99/9.71 | (253) ~ (all_0_43_43 = e2) % 33.99/9.71 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 33.99/9.71 | (276) ~ (all_0_55_55 = e2) % 33.99/9.71 | (260) ~ (all_0_59_59 = e2) % 33.99/9.71 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 33.99/9.71 | (274) ~ (all_0_53_53 = e2) % 33.99/9.71 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 33.99/9.71 | (373) ~ (all_0_51_51 = e2) % 33.99/9.71 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 33.99/9.71 | (256) ~ (all_0_47_47 = e2) % 33.99/9.71 | (377) ~ (all_0_57_57 = e2) % 33.99/9.71 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 33.99/9.71 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 33.99/9.71 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 33.99/9.71 | (258) ~ (all_0_50_50 = e2) % 33.99/9.71 | (254) ~ (all_0_45_45 = e2) % 33.99/9.71 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 33.99/9.71 | % 33.99/9.71 | Equations (932) can reduce 276 to: % 33.99/9.71 | (303) $false % 33.99/9.71 | % 33.99/9.71 |-The branch is then unsatisfiable % 33.99/9.71 |-Branch two: % 33.99/9.71 | (502) ~ (all_0_52_52 = e1) % 33.99/9.71 | (425) all_0_52_52 = e3 % 33.99/9.71 | % 33.99/9.71 | Equations (425) can reduce 521 to: % 33.99/9.71 | (303) $false % 33.99/9.71 | % 33.99/9.71 |-The branch is then unsatisfiable % 33.99/9.71 |-Branch two: % 33.99/9.71 | (292) ~ (all_0_48_48 = e0) % 33.99/9.71 | (383) all_0_49_49 = e0 | all_0_51_51 = e0 % 33.99/9.71 | % 33.99/9.71 +-Applying beta-rule and splitting (6383), into two cases. % 33.99/9.71 |-Branch one: % 33.99/9.71 | (380) all_0_48_48 = e0 % 33.99/9.71 | % 33.99/9.71 | Equations (380) can reduce 292 to: % 33.99/9.71 | (303) $false % 33.99/9.71 | % 33.99/9.71 |-The branch is then unsatisfiable % 33.99/9.71 |-Branch two: % 33.99/9.71 | (292) ~ (all_0_48_48 = e0) % 33.99/9.71 | (2307) all_0_56_56 = e0 % 33.99/9.71 | % 33.99/9.71 | Equations (2307) can reduce 296 to: % 33.99/9.71 | (303) $false % 33.99/9.71 | % 33.99/9.71 |-The branch is then unsatisfiable % 33.99/9.71 |-Branch two: % 33.99/9.71 | (2167) ~ (all_0_49_49 = e2) % 33.99/9.71 | (2168) all_0_49_49 = e1 | all_0_49_49 = e0 % 33.99/9.71 | % 33.99/9.71 +-Applying beta-rule and splitting (104), into two cases. % 33.99/9.71 |-Branch one: % 33.99/9.71 | (945) all_0_41_41 = e2 % 33.99/9.71 | % 33.99/9.71 | Equations (945) can reduce 43 to: % 33.99/9.71 | (2639) ~ (all_0_43_43 = e2) % 33.99/9.71 | % 33.99/9.71 | Simplifying 2639 yields: % 33.99/9.71 | (253) ~ (all_0_43_43 = e2) % 33.99/9.71 | % 33.99/9.71 | Equations (945) can reduce 177 to: % 33.99/9.71 | (2170) ~ (all_0_49_49 = e2) % 33.99/9.71 | % 33.99/9.71 | Simplifying 2170 yields: % 33.99/9.71 | (2167) ~ (all_0_49_49 = e2) % 33.99/9.71 | % 33.99/9.71 | Equations (945) can reduce 11 to: % 33.99/9.71 | (376) ~ (all_0_57_57 = e2) % 33.99/9.71 | % 33.99/9.71 | Simplifying 376 yields: % 33.99/9.71 | (377) ~ (all_0_57_57 = e2) % 33.99/9.71 | % 33.99/9.71 | From (945) and (211) follows: % 33.99/9.71 | (8194) op(e2, e4) = all_0_1_1 % 33.99/9.71 | % 33.99/9.71 | From (945) and (26) follows: % 33.99/9.71 | (5334) op(e2, e3) = all_0_2_2 % 33.99/9.71 | % 33.99/9.71 | From (945) and (167) follows: % 33.99/9.71 | (2648) op(e4, e3) = e2 % 33.99/9.71 | % 33.99/9.71 | Instantiating formula (29) with e2, e4, all_0_1_1, all_0_48_48 and discharging atoms op(e2, e4) = all_0_1_1, op(e2, e4) = all_0_48_48, yields: % 33.99/9.71 | (8197) all_0_1_1 = all_0_48_48 % 33.99/9.71 | % 33.99/9.71 | Instantiating formula (29) with e2, e3, all_0_2_2, all_0_49_49 and discharging atoms op(e2, e3) = all_0_2_2, op(e2, e3) = all_0_49_49, yields: % 33.99/9.71 | (8198) all_0_2_2 = all_0_49_49 % 33.99/9.71 | % 33.99/9.71 | From (8197) and (8194) follows: % 33.99/9.71 | (105) op(e2, e4) = all_0_48_48 % 33.99/9.71 | % 33.99/9.71 +-Applying beta-rule and splitting (24), into two cases. % 33.99/9.71 |-Branch one: % 33.99/9.71 | (980) all_0_52_52 = e2 % 33.99/9.71 | % 33.99/9.71 | Equations (980) can reduce 108 to: % 33.99/9.71 | (544) ~ (all_0_48_48 = e2) % 33.99/9.71 | % 33.99/9.71 | Equations (980) can reduce 77 to: % 33.99/9.71 | (374) ~ (all_0_53_53 = e2) % 33.99/9.71 | % 33.99/9.71 | Simplifying 374 yields: % 33.99/9.71 | (274) ~ (all_0_53_53 = e2) % 33.99/9.71 | % 33.99/9.71 | Equations (980) can reduce 149 to: % 33.99/9.71 | (2174) ~ (all_0_56_56 = e2) % 33.99/9.71 | % 33.99/9.71 | Simplifying 2174 yields: % 33.99/9.71 | (594) ~ (all_0_56_56 = e2) % 33.99/9.71 | % 33.99/9.71 | Equations (980) can reduce 445 to: % 33.99/9.71 | (261) ~ (e4 = e2) % 33.99/9.71 | % 33.99/9.71 | Simplifying 261 yields: % 33.99/9.71 | (231) ~ (e4 = e2) % 33.99/9.71 | % 33.99/9.71 | From (980) and (45) follows: % 34.03/9.72 | (13962) op(e2, e4) = all_0_24_24 % 34.03/9.72 | % 34.03/9.72 | From (980) and (156) follows: % 34.03/9.72 | (13963) op(e2, e1) = all_0_23_23 % 34.03/9.72 | % 34.03/9.72 +-Applying beta-rule and splitting (97), into two cases. % 34.03/9.72 |-Branch one: % 34.03/9.72 | (727) all_0_48_48 = e2 % 34.03/9.72 | % 34.03/9.72 | Equations (727) can reduce 544 to: % 34.03/9.72 | (303) $false % 34.03/9.72 | % 34.03/9.72 |-The branch is then unsatisfiable % 34.03/9.72 |-Branch two: % 34.03/9.72 | (544) ~ (all_0_48_48 = e2) % 34.03/9.72 | (2476) all_0_49_49 = e2 | all_0_50_50 = e2 | all_0_51_51 = e2 % 34.03/9.72 | % 34.03/9.72 +-Applying beta-rule and splitting (2476), into two cases. % 34.03/9.72 |-Branch one: % 34.03/9.72 | (368) all_0_49_49 = e2 % 34.03/9.72 | % 34.03/9.72 | Equations (368) can reduce 2167 to: % 34.03/9.72 | (303) $false % 34.03/9.72 | % 34.03/9.72 |-The branch is then unsatisfiable % 34.03/9.72 |-Branch two: % 34.03/9.72 | (2167) ~ (all_0_49_49 = e2) % 34.03/9.72 | (2480) all_0_50_50 = e2 | all_0_51_51 = e2 % 34.03/9.72 | % 34.03/9.72 +-Applying beta-rule and splitting (2480), into two cases. % 34.03/9.72 |-Branch one: % 34.03/9.72 | (364) all_0_50_50 = e2 % 34.03/9.72 | % 34.03/9.72 | Equations (364) can reduce 258 to: % 34.03/9.72 | (303) $false % 34.03/9.72 | % 34.03/9.72 |-The branch is then unsatisfiable % 34.03/9.72 |-Branch two: % 34.03/9.72 | (258) ~ (all_0_50_50 = e2) % 34.03/9.72 | (927) all_0_51_51 = e2 % 34.03/9.72 | % 34.03/9.72 | Equations (927) can reduce 161 to: % 34.03/9.72 | (915) ~ (all_0_44_44 = e2) % 34.03/9.72 | % 34.03/9.72 | Equations (927) can reduce 127 to: % 34.03/9.72 | (544) ~ (all_0_48_48 = e2) % 34.03/9.72 | % 34.03/9.72 | Equations (927) can reduce 160 to: % 34.03/9.72 | (2167) ~ (all_0_49_49 = e2) % 34.03/9.72 | % 34.03/9.72 | Equations (927) can reduce 171 to: % 34.03/9.72 | (258) ~ (all_0_50_50 = e2) % 34.03/9.72 | % 34.03/9.72 | Equations (927) can reduce 13 to: % 34.03/9.72 | (275) ~ (all_0_55_55 = e2) % 34.03/9.72 | % 34.03/9.72 | Simplifying 275 yields: % 34.03/9.72 | (276) ~ (all_0_55_55 = e2) % 34.03/9.72 | % 34.03/9.72 | Equations (927) can reduce 95 to: % 34.03/9.72 | (573) ~ (all_0_60_60 = e2) % 34.03/9.72 | % 34.03/9.72 | Simplifying 573 yields: % 34.03/9.72 | (571) ~ (all_0_60_60 = e2) % 34.03/9.72 | % 34.03/9.72 | Equations (927) can reduce 32 to: % 34.03/9.72 | (577) ~ (e3 = e2) % 34.03/9.72 | % 34.03/9.72 | Simplifying 577 yields: % 34.03/9.72 | (223) ~ (e3 = e2) % 34.03/9.72 | % 34.03/9.72 | Equations (927) can reduce 2347 to: % 34.03/9.72 | (51) ~ (e2 = e0) % 34.03/9.72 | % 34.03/9.72 | From (927) and (122) follows: % 34.03/9.72 | (2490) op(e2, e2) = all_0_21_21 % 34.03/9.72 | % 34.03/9.72 | Instantiating formula (29) with e2, e4, all_0_24_24, all_0_48_48 and discharging atoms op(e2, e4) = all_0_24_24, op(e2, e4) = all_0_48_48, yields: % 34.03/9.72 | (13981) all_0_24_24 = all_0_48_48 % 34.03/9.72 | % 34.03/9.72 | Instantiating formula (29) with e2, e2, all_0_21_21, e3 and discharging atoms op(e2, e2) = all_0_21_21, op(e2, e2) = e3, yields: % 34.03/9.72 | (2622) all_0_21_21 = e3 % 34.03/9.72 | % 34.03/9.72 | Instantiating formula (29) with e2, e1, all_0_23_23, all_0_50_50 and discharging atoms op(e2, e1) = all_0_23_23, op(e2, e1) = all_0_50_50, yields: % 34.03/9.72 | (13982) all_0_23_23 = all_0_50_50 % 34.03/9.72 | % 34.03/9.72 | From (2622) and (2490) follows: % 34.03/9.72 | (83) op(e2, e2) = e3 % 34.03/9.72 | % 34.03/9.72 +-Applying beta-rule and splitting (150), into two cases. % 34.03/9.72 |-Branch one: % 34.03/9.72 | (398) all_0_41_41 = e0 % 34.03/9.72 | % 34.03/9.72 | Combining equations (398,945) yields a new equation: % 34.03/9.72 | (385) e2 = e0 % 34.03/9.72 | % 34.03/9.72 | Equations (385) can reduce 51 to: % 34.03/9.72 | (303) $false % 34.03/9.72 | % 34.03/9.72 |-The branch is then unsatisfiable % 34.03/9.72 |-Branch two: % 34.03/9.72 | (326) ~ (all_0_41_41 = e0) % 34.03/9.72 | (401) all_0_49_49 = e0 | all_0_57_57 = e0 % 34.03/9.72 | % 34.03/9.72 | Equations (945) can reduce 326 to: % 34.03/9.72 | (51) ~ (e2 = e0) % 34.03/9.72 | % 34.03/9.72 +-Applying beta-rule and splitting (64), into two cases. % 34.03/9.72 |-Branch one: % 34.03/9.72 | (425) all_0_52_52 = e3 % 34.03/9.72 | % 34.03/9.72 | Combining equations (425,980) yields a new equation: % 34.03/9.72 | (452) e3 = e2 % 34.03/9.72 | % 34.03/9.72 | Simplifying 452 yields: % 34.03/9.72 | (453) e3 = e2 % 34.03/9.72 | % 34.03/9.72 | Equations (453) can reduce 223 to: % 34.03/9.72 | (303) $false % 34.03/9.72 | % 34.03/9.72 |-The branch is then unsatisfiable % 34.03/9.72 |-Branch two: % 34.03/9.72 | (521) ~ (all_0_52_52 = e3) % 34.03/9.72 | (1006) all_0_53_53 = e3 | all_0_55_55 = e3 % 34.03/9.72 | % 34.03/9.72 | Equations (980) can reduce 521 to: % 34.03/9.72 | (577) ~ (e3 = e2) % 34.03/9.72 | % 34.03/9.72 | Simplifying 577 yields: % 34.03/9.72 | (223) ~ (e3 = e2) % 34.03/9.72 | % 34.03/9.72 +-Applying beta-rule and splitting (137), into two cases. % 34.03/9.72 |-Branch one: % 34.03/9.72 | (447) all_0_43_43 = e3 % 34.03/9.72 | % 34.03/9.72 | Equations (447) can reduce 82 to: % 34.03/9.72 | (435) ~ (all_0_44_44 = e3) % 34.03/9.72 | % 34.03/9.72 | Simplifying 435 yields: % 34.03/9.72 | (310) ~ (all_0_44_44 = e3) % 34.03/9.72 | % 34.03/9.72 | Equations (447) can reduce 238 to: % 34.03/9.72 | (9726) ~ (all_0_50_50 = e3) % 34.03/9.72 | % 34.03/9.72 | Simplifying 9726 yields: % 34.03/9.72 | (15) ~ (all_0_50_50 = e3) % 34.03/9.72 | % 34.03/9.72 | Equations (447) can reduce 249 to: % 34.03/9.72 | (1030) ~ (all_0_59_59 = e3) % 34.03/9.72 | % 34.03/9.72 | Simplifying 1030 yields: % 34.03/9.72 | (1031) ~ (all_0_59_59 = e3) % 34.03/9.72 | % 34.03/9.72 | From (447) and (99) follows: % 34.03/9.72 | (3298) op(e3, e1) = all_0_6_6 % 34.03/9.72 | % 34.03/9.72 | Instantiating formula (29) with e3, e1, all_0_6_6, e2 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = e2, yields: % 34.03/9.72 | (3326) all_0_6_6 = e2 % 34.03/9.72 | % 34.03/9.72 | From (3326) and (3298) follows: % 34.03/9.72 | (266) op(e3, e1) = e2 % 34.03/9.72 | % 34.03/9.72 +-Applying beta-rule and splitting (67), into two cases. % 34.03/9.72 |-Branch one: % 34.03/9.72 | (380) all_0_48_48 = e0 % 34.03/9.72 | % 34.03/9.72 | Equations (380) can reduce 58 to: % 34.03/9.72 | (8746) ~ (all_0_49_49 = e0) % 34.03/9.72 | % 34.03/9.72 | Simplifying 8746 yields: % 34.03/9.72 | (387) ~ (all_0_49_49 = e0) % 34.03/9.72 | % 34.03/9.72 +-Applying beta-rule and splitting (234), into two cases. % 34.03/9.72 |-Branch one: % 34.03/9.72 | (609) all_0_48_48 = e4 % 34.03/9.72 | % 34.03/9.72 | Combining equations (609,380) yields a new equation: % 34.03/9.72 | (1573) e4 = e0 % 34.03/9.72 | % 34.03/9.72 | Simplifying 1573 yields: % 34.03/9.72 | (654) e4 = e0 % 34.03/9.72 | % 34.03/9.72 | Equations (654) can reduce 4 to: % 34.03/9.72 | (303) $false % 34.03/9.72 | % 34.03/9.72 |-The branch is then unsatisfiable % 34.03/9.72 |-Branch two: % 34.03/9.72 | (721) ~ (all_0_48_48 = e4) % 34.03/9.72 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 34.03/9.72 | % 34.03/9.72 +-Applying beta-rule and splitting (401), into two cases. % 34.03/9.72 |-Branch one: % 34.03/9.72 | (384) all_0_49_49 = e0 % 34.03/9.72 | % 34.03/9.72 | Equations (384) can reduce 387 to: % 34.03/9.72 | (303) $false % 34.03/9.72 | % 34.03/9.72 |-The branch is then unsatisfiable % 34.03/9.72 |-Branch two: % 34.03/9.72 | (387) ~ (all_0_49_49 = e0) % 34.03/9.72 | (407) all_0_57_57 = e0 % 34.03/9.72 | % 34.03/9.72 | Equations (407) can reduce 226 to: % 34.03/9.72 | (387) ~ (all_0_49_49 = e0) % 34.03/9.72 | % 34.03/9.72 +-Applying beta-rule and splitting (722), into two cases. % 34.03/9.72 |-Branch one: % 34.03/9.72 | (714) all_0_50_50 = e4 % 34.03/9.72 | % 34.03/9.72 +-Applying beta-rule and splitting (56), into two cases. % 34.03/9.72 |-Branch one: % 34.03/9.72 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 34.03/9.72 | % 34.03/9.72 +-Applying beta-rule and splitting (480), into two cases. % 34.03/9.72 |-Branch one: % 34.03/9.72 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 34.03/9.72 | % 34.03/9.72 +-Applying beta-rule and splitting (481), into two cases. % 34.03/9.72 |-Branch one: % 34.03/9.72 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 34.03/9.72 | % 34.03/9.72 +-Applying beta-rule and splitting (482), into two cases. % 34.03/9.72 |-Branch one: % 34.03/9.72 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 34.03/9.72 | % 34.03/9.72 | Applying alpha-rule on (483) yields: % 34.03/9.72 | (484) ~ (unit = e4) % 34.03/9.72 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 34.03/9.72 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 34.03/9.72 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 34.03/9.72 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 34.03/9.72 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 34.03/9.72 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 34.03/9.72 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 34.03/9.72 | (492) ~ (all_0_55_55 = e4) % 34.03/9.72 | (493) all_0_45_45 = e3 % 34.03/9.72 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 34.03/9.72 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 34.03/9.72 | % 34.03/9.72 +-Applying beta-rule and splitting (2168), into two cases. % 34.03/9.72 |-Branch one: % 34.03/9.72 | (1580) all_0_49_49 = e1 % 34.03/9.72 | % 34.03/9.72 | Equations (1580) can reduce 7 to: % 34.03/9.72 | (6422) ~ (all_0_53_53 = e1) % 34.03/9.72 | % 34.03/9.72 | Simplifying 6422 yields: % 34.03/9.72 | (509) ~ (all_0_53_53 = e1) % 34.03/9.72 | % 34.03/9.72 | Equations (1580) can reduce 2167 to: % 34.03/9.72 | (565) ~ (e2 = e1) % 34.03/9.72 | % 34.03/9.72 | Simplifying 565 yields: % 34.03/9.72 | (144) ~ (e2 = e1) % 34.03/9.72 | % 34.03/9.72 +-Applying beta-rule and splitting (85), into two cases. % 34.03/9.72 |-Branch one: % 34.03/9.72 | (1070) all_0_52_52 = e1 % 34.03/9.72 | % 34.03/9.72 | Combining equations (980,1070) yields a new equation: % 34.03/9.72 | (584) e2 = e1 % 34.03/9.72 | % 34.03/9.72 | Simplifying 584 yields: % 34.03/9.72 | (585) e2 = e1 % 34.03/9.72 | % 34.03/9.72 | Equations (585) can reduce 144 to: % 34.03/9.72 | (303) $false % 34.03/9.72 | % 34.03/9.72 |-The branch is then unsatisfiable % 34.03/9.72 |-Branch two: % 34.03/9.72 | (502) ~ (all_0_52_52 = e1) % 34.03/9.72 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 34.03/9.72 | % 34.03/9.72 +-Applying beta-rule and splitting (1073), into two cases. % 34.03/9.72 |-Branch one: % 34.03/9.72 | (462) all_0_53_53 = e1 % 34.03/9.72 | % 34.03/9.72 | Equations (462) can reduce 509 to: % 34.03/9.72 | (303) $false % 34.03/9.72 | % 34.03/9.72 |-The branch is then unsatisfiable % 34.03/9.72 |-Branch two: % 34.03/9.72 | (509) ~ (all_0_53_53 = e1) % 34.03/9.72 | (530) all_0_55_55 = e1 % 34.03/9.72 | % 34.03/9.72 | Equations (530) can reduce 93 to: % 34.03/9.72 | (134) ~ (e1 = e0) % 34.03/9.72 | % 34.03/9.72 +-Applying beta-rule and splitting (488), into two cases. % 34.03/9.72 |-Branch one: % 34.03/9.72 | (611) ~ (all_0_50_50 = e4) % 34.03/9.72 | % 34.03/9.72 | Equations (714) can reduce 611 to: % 34.03/9.72 | (303) $false % 34.03/9.72 | % 34.03/9.72 |-The branch is then unsatisfiable % 34.03/9.72 |-Branch two: % 34.03/9.72 | (714) all_0_50_50 = e4 % 34.03/9.72 | (748) all_0_48_48 = e1 % 34.03/9.72 | % 34.03/9.72 | Combining equations (380,748) yields a new equation: % 34.03/9.72 | (590) e1 = e0 % 34.03/9.72 | % 34.03/9.72 | Equations (590) can reduce 134 to: % 34.03/9.72 | (303) $false % 34.03/9.72 | % 34.03/9.72 |-The branch is then unsatisfiable % 34.03/9.72 |-Branch two: % 34.03/9.72 | (506) ~ (all_0_49_49 = e1) % 34.03/9.72 | (384) all_0_49_49 = e0 % 34.03/9.72 | % 34.03/9.72 | Equations (384) can reduce 387 to: % 34.03/9.72 | (303) $false % 34.03/9.72 | % 34.03/9.72 |-The branch is then unsatisfiable % 34.03/9.72 |-Branch two: % 34.03/9.72 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 34.03/9.72 | % 34.03/9.72 | Applying alpha-rule on (499) yields: % 34.03/9.72 | (500) ~ (all_0_51_51 = e1) % 34.03/9.72 | (501) ~ (all_0_60_60 = e1) % 34.03/9.72 | (502) ~ (all_0_52_52 = e1) % 34.03/9.72 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 34.03/9.72 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 34.03/9.72 | (252) all_0_46_46 = e2 % 34.03/9.72 | (506) ~ (all_0_49_49 = e1) % 34.03/9.72 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 34.03/9.72 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 34.03/9.72 | (509) ~ (all_0_53_53 = e1) % 34.03/9.72 | (510) ~ (unit = e1) % 34.03/9.72 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 34.03/9.72 | (512) ~ (all_0_44_44 = e1) % 34.03/9.72 | % 34.03/9.72 | Equations (980) can reduce 502 to: % 34.03/9.72 | (144) ~ (e2 = e1) % 34.03/9.72 | % 34.03/9.72 +-Applying beta-rule and splitting (85), into two cases. % 34.03/9.72 |-Branch one: % 34.03/9.72 | (1070) all_0_52_52 = e1 % 34.03/9.72 | % 34.03/9.73 | Combining equations (980,1070) yields a new equation: % 34.03/9.73 | (584) e2 = e1 % 34.03/9.73 | % 34.03/9.73 | Simplifying 584 yields: % 34.03/9.73 | (585) e2 = e1 % 34.03/9.73 | % 34.03/9.73 | Equations (585) can reduce 144 to: % 34.03/9.73 | (303) $false % 34.03/9.73 | % 34.03/9.73 |-The branch is then unsatisfiable % 34.03/9.73 |-Branch two: % 34.03/9.73 | (502) ~ (all_0_52_52 = e1) % 34.03/9.73 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 34.03/9.73 | % 34.03/9.73 | Equations (980) can reduce 502 to: % 34.03/9.73 | (144) ~ (e2 = e1) % 34.03/9.73 | % 34.03/9.73 +-Applying beta-rule and splitting (228), into two cases. % 34.03/9.73 |-Branch one: % 34.03/9.73 | (748) all_0_48_48 = e1 % 34.03/9.73 | % 34.03/9.73 | Combining equations (380,748) yields a new equation: % 34.03/9.73 | (590) e1 = e0 % 34.03/9.73 | % 34.03/9.73 | Equations (590) can reduce 134 to: % 34.03/9.73 | (303) $false % 34.03/9.73 | % 34.03/9.73 |-The branch is then unsatisfiable % 34.03/9.73 |-Branch two: % 34.03/9.73 | (802) ~ (all_0_48_48 = e1) % 34.03/9.73 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 34.03/9.73 | % 34.03/9.73 +-Applying beta-rule and splitting (803), into two cases. % 34.03/9.73 |-Branch one: % 34.03/9.73 | (1580) all_0_49_49 = e1 % 34.03/9.73 | % 34.03/9.73 | Equations (1580) can reduce 506 to: % 34.03/9.73 | (303) $false % 34.03/9.73 | % 34.03/9.73 |-The branch is then unsatisfiable % 34.03/9.73 |-Branch two: % 34.03/9.73 | (506) ~ (all_0_49_49 = e1) % 34.03/9.73 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 34.03/9.73 | % 34.03/9.73 +-Applying beta-rule and splitting (1585), into two cases. % 34.03/9.73 |-Branch one: % 34.03/9.73 | (627) all_0_50_50 = e1 % 34.03/9.73 | % 34.03/9.73 | Combining equations (627,714) yields a new equation: % 34.03/9.73 | (541) e4 = e1 % 34.03/9.73 | % 34.03/9.73 | Equations (541) can reduce 247 to: % 34.03/9.73 | (303) $false % 34.03/9.73 | % 34.03/9.73 |-The branch is then unsatisfiable % 34.03/9.73 |-Branch two: % 34.03/9.73 | (678) ~ (all_0_50_50 = e1) % 34.03/9.73 | (1590) all_0_51_51 = e1 % 34.03/9.73 | % 34.03/9.73 | Combining equations (927,1590) yields a new equation: % 34.03/9.73 | (584) e2 = e1 % 34.03/9.73 | % 34.03/9.73 | Simplifying 584 yields: % 34.03/9.73 | (585) e2 = e1 % 34.03/9.73 | % 34.03/9.73 | Equations (585) can reduce 144 to: % 34.03/9.73 | (303) $false % 34.03/9.73 | % 34.03/9.73 |-The branch is then unsatisfiable % 34.03/9.73 |-Branch two: % 34.03/9.73 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 34.03/9.73 | % 34.03/9.73 | Applying alpha-rule on (514) yields: % 34.03/9.73 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 34.03/9.73 | (516) ~ (all_0_47_47 = e3) % 34.03/9.73 | (314) ~ (all_0_55_55 = e3) % 34.03/9.73 | (368) all_0_49_49 = e2 % 34.03/9.73 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 34.03/9.73 | (520) ~ (unit = e3) % 34.03/9.73 | (521) ~ (all_0_52_52 = e3) % 34.03/9.73 | (455) ~ (all_0_46_46 = e3) % 34.03/9.73 | (432) ~ (all_0_40_40 = e3) % 34.03/9.73 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 34.03/9.73 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 34.03/9.73 | (526) ~ (all_0_56_56 = e3) % 34.03/9.73 | % 34.03/9.73 | Equations (368) can reduce 2167 to: % 34.03/9.73 | (303) $false % 34.03/9.73 | % 34.03/9.73 |-The branch is then unsatisfiable % 34.03/9.73 |-Branch two: % 34.03/9.73 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 34.03/9.73 | % 34.03/9.73 | Applying alpha-rule on (528) yields: % 34.03/9.73 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 34.03/9.73 | (530) all_0_55_55 = e1 % 34.03/9.73 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 34.03/9.73 | (387) ~ (all_0_49_49 = e0) % 34.03/9.73 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 34.03/9.73 | (534) ~ (all_0_45_45 = e0) % 34.03/9.73 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 34.03/9.73 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 34.03/9.73 | (537) ~ (unit = e0) % 34.03/9.73 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 34.03/9.73 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 34.03/9.73 | % 34.03/9.73 +-Applying beta-rule and splitting (536), into two cases. % 34.03/9.73 |-Branch one: % 34.03/9.73 | (3164) ~ (all_0_42_42 = e0) % 34.03/9.73 | % 34.03/9.73 | Equations (324) can reduce 3164 to: % 34.03/9.73 | (303) $false % 34.03/9.73 | % 34.03/9.73 |-The branch is then unsatisfiable % 34.03/9.73 |-Branch two: % 34.03/9.73 | (324) all_0_42_42 = e0 % 34.03/9.73 | (572) all_0_44_44 = e2 % 34.03/9.73 | % 34.03/9.73 | Equations (572) can reduce 915 to: % 34.03/9.73 | (303) $false % 34.03/9.73 | % 34.03/9.73 |-The branch is then unsatisfiable % 34.03/9.73 |-Branch two: % 34.03/9.73 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 34.03/9.73 | % 34.03/9.73 | Applying alpha-rule on (543) yields: % 34.03/9.73 | (544) ~ (all_0_48_48 = e2) % 34.03/9.73 | (369) ~ (all_0_41_41 = e2) % 34.03/9.73 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 34.03/9.73 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 34.03/9.73 | (253) ~ (all_0_43_43 = e2) % 34.03/9.73 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 34.03/9.73 | (276) ~ (all_0_55_55 = e2) % 34.03/9.73 | (260) ~ (all_0_59_59 = e2) % 34.03/9.73 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 34.03/9.73 | (274) ~ (all_0_53_53 = e2) % 34.03/9.73 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 34.03/9.73 | (373) ~ (all_0_51_51 = e2) % 34.03/9.73 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 34.03/9.73 | (256) ~ (all_0_47_47 = e2) % 34.03/9.73 | (377) ~ (all_0_57_57 = e2) % 34.03/9.73 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 34.03/9.73 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 34.03/9.73 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 34.03/9.73 | (258) ~ (all_0_50_50 = e2) % 34.03/9.73 | (254) ~ (all_0_45_45 = e2) % 34.03/9.73 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 34.03/9.73 | % 34.03/9.73 | Equations (927) can reduce 373 to: % 34.03/9.73 | (303) $false % 34.03/9.73 | % 34.03/9.73 |-The branch is then unsatisfiable % 34.03/9.73 |-Branch two: % 34.03/9.73 | (611) ~ (all_0_50_50 = e4) % 34.03/9.73 | (1501) all_0_51_51 = e4 % 34.03/9.73 | % 34.03/9.73 | Combining equations (927,1501) yields a new equation: % 34.03/9.73 | (470) e4 = e2 % 34.03/9.73 | % 34.03/9.73 | Equations (470) can reduce 231 to: % 34.03/9.73 | (303) $false % 34.03/9.73 | % 34.03/9.73 |-The branch is then unsatisfiable % 34.03/9.73 |-Branch two: % 34.03/9.73 | (292) ~ (all_0_48_48 = e0) % 34.03/9.73 | (383) all_0_49_49 = e0 | all_0_51_51 = e0 % 34.03/9.73 | % 34.03/9.73 +-Applying beta-rule and splitting (383), into two cases. % 34.03/9.73 |-Branch one: % 34.03/9.73 | (384) all_0_49_49 = e0 % 34.03/9.73 | % 34.03/9.73 | Equations (384) can reduce 37 to: % 34.03/9.73 | (6386) ~ (all_0_50_50 = e0) % 34.03/9.73 | % 34.03/9.73 | Simplifying 6386 yields: % 34.03/9.73 | (207) ~ (all_0_50_50 = e0) % 34.03/9.73 | % 34.03/9.73 | Equations (384) can reduce 226 to: % 34.03/9.73 | (2272) ~ (all_0_57_57 = e0) % 34.03/9.73 | % 34.03/9.73 | Simplifying 2272 yields: % 34.03/9.73 | (2273) ~ (all_0_57_57 = e0) % 34.03/9.73 | % 34.03/9.73 | Equations (384) can reduce 2167 to: % 34.03/9.73 | (335) ~ (e2 = e0) % 34.03/9.73 | % 34.03/9.73 | Simplifying 335 yields: % 34.03/9.73 | (51) ~ (e2 = e0) % 34.03/9.73 | % 34.03/9.73 | From (384) and (65) follows: % 34.03/9.73 | (2548) op(e0, e3) = all_0_18_18 % 34.03/9.73 | % 34.03/9.73 | From (384) and (113) follows: % 34.03/9.73 | (2549) op(e0, e2) = all_0_17_17 % 34.03/9.73 | % 34.03/9.73 +-Applying beta-rule and splitting (50), into two cases. % 34.03/9.73 |-Branch one: % 34.03/9.73 | (2307) all_0_56_56 = e0 % 34.03/9.73 | % 34.03/9.73 | Equations (2307) can reduce 57 to: % 34.03/9.73 | (288) ~ (all_0_40_40 = e0) % 34.03/9.73 | % 34.03/9.73 | Equations (2307) can reduce 2 to: % 34.03/9.73 | (292) ~ (all_0_48_48 = e0) % 34.03/9.73 | % 34.03/9.73 | Equations (2307) can reduce 42 to: % 34.03/9.73 | (411) ~ (all_0_59_59 = e0) % 34.03/9.73 | % 34.03/9.73 | Simplifying 411 yields: % 34.03/9.73 | (216) ~ (all_0_59_59 = e0) % 34.03/9.73 | % 34.03/9.73 | Equations (2307) can reduce 174 to: % 34.03/9.73 | (413) ~ (all_0_60_60 = e0) % 34.03/9.73 | % 34.03/9.73 | Simplifying 413 yields: % 34.03/9.73 | (414) ~ (all_0_60_60 = e0) % 34.03/9.73 | % 34.03/9.73 | Equations (2307) can reduce 526 to: % 34.03/9.73 | (333) ~ (e3 = e0) % 34.03/9.73 | % 34.03/9.73 | Simplifying 333 yields: % 34.03/9.73 | (70) ~ (e3 = e0) % 34.03/9.73 | % 34.03/9.73 | Equations (2307) can reduce 594 to: % 34.03/9.73 | (335) ~ (e2 = e0) % 34.03/9.73 | % 34.03/9.73 | Simplifying 335 yields: % 34.03/9.73 | (51) ~ (e2 = e0) % 34.03/9.73 | % 34.03/9.73 | Instantiating formula (29) with e0, e3, all_0_18_18, all_0_57_57 and discharging atoms op(e0, e3) = all_0_18_18, op(e0, e3) = all_0_57_57, yields: % 34.03/9.73 | (2625) all_0_18_18 = all_0_57_57 % 34.03/9.73 | % 34.03/9.73 | Instantiating formula (29) with e0, e2, all_0_17_17, e2 and discharging atoms op(e0, e2) = all_0_17_17, op(e0, e2) = e2, yields: % 34.03/9.73 | (12674) all_0_17_17 = e2 % 34.03/9.73 | % 34.03/9.73 | From (2625) and (2548) follows: % 34.03/9.73 | (5) op(e0, e3) = all_0_57_57 % 34.03/9.73 | % 34.03/9.73 | From (12674) and (2549) follows: % 34.03/9.73 | (663) op(e0, e2) = e2 % 34.03/9.73 | % 34.03/9.73 +-Applying beta-rule and splitting (100), into two cases. % 34.03/9.73 |-Branch one: % 34.03/9.73 | (618) all_0_43_43 = e1 % 34.03/9.73 | % 34.03/9.73 | Combining equations (447,618) yields a new equation: % 34.03/9.73 | (680) e3 = e1 % 34.03/9.73 | % 34.03/9.73 | Simplifying 680 yields: % 34.03/9.73 | (601) e3 = e1 % 34.03/9.73 | % 34.03/9.73 | Equations (601) can reduce 136 to: % 34.03/9.73 | (303) $false % 34.03/9.73 | % 34.03/9.73 |-The branch is then unsatisfiable % 34.03/9.73 |-Branch two: % 34.03/9.73 | (622) ~ (all_0_43_43 = e1) % 34.03/9.73 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 34.03/9.73 | % 34.03/9.73 +-Applying beta-rule and splitting (139), into two cases. % 34.03/9.73 |-Branch one: % 34.03/9.73 | (614) all_0_43_43 = e4 % 34.03/9.73 | % 34.03/9.73 | Combining equations (447,614) yields a new equation: % 34.03/9.73 | (443) e4 = e3 % 34.03/9.73 | % 34.03/9.73 | Equations (443) can reduce 30 to: % 34.03/9.73 | (303) $false % 34.03/9.73 | % 34.03/9.73 |-The branch is then unsatisfiable % 34.03/9.73 |-Branch two: % 34.03/9.73 | (712) ~ (all_0_43_43 = e4) % 34.03/9.73 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 34.03/9.73 | % 34.03/9.73 +-Applying beta-rule and splitting (85), into two cases. % 34.03/9.73 |-Branch one: % 34.03/9.73 | (1070) all_0_52_52 = e1 % 34.03/9.73 | % 34.05/9.73 | Combining equations (1070,980) yields a new equation: % 34.05/9.73 | (585) e2 = e1 % 34.05/9.73 | % 34.05/9.73 | Equations (585) can reduce 144 to: % 34.05/9.73 | (303) $false % 34.05/9.73 | % 34.05/9.73 |-The branch is then unsatisfiable % 34.05/9.73 |-Branch two: % 34.05/9.73 | (502) ~ (all_0_52_52 = e1) % 34.05/9.73 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 34.05/9.73 | % 34.05/9.73 | Equations (980) can reduce 502 to: % 34.05/9.73 | (144) ~ (e2 = e1) % 34.05/9.73 | % 34.05/9.73 +-Applying beta-rule and splitting (234), into two cases. % 34.05/9.73 |-Branch one: % 34.05/9.73 | (609) all_0_48_48 = e4 % 34.05/9.73 | % 34.05/9.73 | Equations (609) can reduce 48 to: % 34.05/9.73 | (610) ~ (all_0_50_50 = e4) % 34.05/9.73 | % 34.05/9.73 | Simplifying 610 yields: % 34.05/9.73 | (611) ~ (all_0_50_50 = e4) % 34.05/9.73 | % 34.05/9.73 +-Applying beta-rule and splitting (713), into two cases. % 34.05/9.73 |-Branch one: % 34.05/9.73 | (714) all_0_50_50 = e4 % 34.05/9.73 | % 34.05/9.73 | Equations (714) can reduce 611 to: % 34.05/9.73 | (303) $false % 34.05/9.73 | % 34.05/9.73 |-The branch is then unsatisfiable % 34.05/9.73 |-Branch two: % 34.05/9.73 | (611) ~ (all_0_50_50 = e4) % 34.05/9.73 | (717) all_0_59_59 = e4 % 34.05/9.73 | % 34.05/9.73 | Equations (717) can reduce 126 to: % 34.05/9.73 | (611) ~ (all_0_50_50 = e4) % 34.05/9.73 | % 34.05/9.73 | Equations (717) can reduce 1031 to: % 34.05/9.73 | (30) ~ (e4 = e3) % 34.05/9.73 | % 34.05/9.73 +-Applying beta-rule and splitting (56), into two cases. % 34.05/9.73 |-Branch one: % 34.05/9.73 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 34.05/9.73 | % 34.05/9.73 +-Applying beta-rule and splitting (480), into two cases. % 34.05/9.73 |-Branch one: % 34.05/9.73 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 34.05/9.73 | % 34.05/9.73 +-Applying beta-rule and splitting (481), into two cases. % 34.05/9.73 |-Branch one: % 34.05/9.73 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 34.05/9.73 | % 34.05/9.73 +-Applying beta-rule and splitting (482), into two cases. % 34.05/9.73 |-Branch one: % 34.05/9.73 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 34.05/9.73 | % 34.05/9.73 | Applying alpha-rule on (483) yields: % 34.05/9.73 | (484) ~ (unit = e4) % 34.05/9.73 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 34.05/9.73 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 34.05/9.73 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 34.05/9.73 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 34.05/9.73 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 34.05/9.73 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 34.05/9.73 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 34.05/9.73 | (492) ~ (all_0_55_55 = e4) % 34.05/9.73 | (493) all_0_45_45 = e3 % 34.05/9.73 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 34.05/9.73 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 34.05/9.73 | % 34.05/9.73 +-Applying beta-rule and splitting (228), into two cases. % 34.05/9.73 |-Branch one: % 34.05/9.73 | (748) all_0_48_48 = e1 % 34.05/9.73 | % 34.05/9.73 | Combining equations (609,748) yields a new equation: % 34.05/9.73 | (540) e4 = e1 % 34.05/9.73 | % 34.05/9.73 | Simplifying 540 yields: % 34.05/9.73 | (541) e4 = e1 % 34.05/9.73 | % 34.05/9.73 | Equations (541) can reduce 247 to: % 34.05/9.73 | (303) $false % 34.05/9.73 | % 34.05/9.73 |-The branch is then unsatisfiable % 34.05/9.73 |-Branch two: % 34.05/9.73 | (802) ~ (all_0_48_48 = e1) % 34.05/9.73 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 34.05/9.73 | % 34.05/9.73 +-Applying beta-rule and splitting (803), into two cases. % 34.05/9.73 |-Branch one: % 34.05/9.73 | (1580) all_0_49_49 = e1 % 34.05/9.73 | % 34.05/9.73 | Combining equations (384,1580) yields a new equation: % 34.05/9.73 | (590) e1 = e0 % 34.05/9.73 | % 34.05/9.73 | Equations (590) can reduce 134 to: % 34.05/9.73 | (303) $false % 34.05/9.73 | % 34.05/9.73 |-The branch is then unsatisfiable % 34.05/9.73 |-Branch two: % 34.05/9.73 | (506) ~ (all_0_49_49 = e1) % 34.05/9.73 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 34.05/9.73 | % 34.05/9.73 +-Applying beta-rule and splitting (1585), into two cases. % 34.05/9.73 |-Branch one: % 34.05/9.73 | (627) all_0_50_50 = e1 % 34.05/9.73 | % 34.05/9.73 | Equations (627) can reduce 611 to: % 34.05/9.73 | (605) ~ (e4 = e1) % 34.05/9.73 | % 34.05/9.73 | Simplifying 605 yields: % 34.05/9.73 | (247) ~ (e4 = e1) % 34.05/9.73 | % 34.05/9.73 | Equations (627) can reduce 258 to: % 34.05/9.74 | (565) ~ (e2 = e1) % 34.05/9.74 | % 34.05/9.74 | Simplifying 565 yields: % 34.05/9.74 | (144) ~ (e2 = e1) % 34.05/9.74 | % 34.05/9.74 | Equations (627) can reduce 207 to: % 34.05/9.74 | (134) ~ (e1 = e0) % 34.05/9.74 | % 34.05/9.74 +-Applying beta-rule and splitting (241), into two cases. % 34.05/9.74 |-Branch one: % 34.05/9.74 | (1096) all_0_44_44 = e4 % 34.05/9.74 | % 34.05/9.74 +-Applying beta-rule and splitting (494), into two cases. % 34.05/9.74 |-Branch one: % 34.05/9.74 | (474) ~ (all_0_44_44 = e4) % 34.05/9.74 | % 34.05/9.74 | Equations (1096) can reduce 474 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (1096) all_0_44_44 = e4 % 34.05/9.74 | (2834) all_0_40_40 = e0 % 34.05/9.74 | % 34.05/9.74 | Equations (2834) can reduce 288 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (474) ~ (all_0_44_44 = e4) % 34.05/9.74 | (1500) all_0_51_51 = e4 | all_0_55_55 = e4 | all_0_60_60 = e4 % 34.05/9.74 | % 34.05/9.74 +-Applying beta-rule and splitting (175), into two cases. % 34.05/9.74 |-Branch one: % 34.05/9.74 | (624) all_0_40_40 = e1 % 34.05/9.74 | % 34.05/9.74 | Equations (624) can reduce 124 to: % 34.05/9.74 | (1022) ~ (all_0_44_44 = e1) % 34.05/9.74 | % 34.05/9.74 | Simplifying 1022 yields: % 34.05/9.74 | (512) ~ (all_0_44_44 = e1) % 34.05/9.74 | % 34.05/9.74 +-Applying beta-rule and splitting (87), into two cases. % 34.05/9.74 |-Branch one: % 34.05/9.74 | (572) all_0_44_44 = e2 % 34.05/9.74 | % 34.05/9.74 | Equations (572) can reduce 915 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (915) ~ (all_0_44_44 = e2) % 34.05/9.74 | (2069) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 34.05/9.74 | % 34.05/9.74 +-Applying beta-rule and splitting (2069), into two cases. % 34.05/9.74 |-Branch one: % 34.05/9.74 | (1096) all_0_44_44 = e4 % 34.05/9.74 | % 34.05/9.74 | Equations (1096) can reduce 474 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (474) ~ (all_0_44_44 = e4) % 34.05/9.74 | (2073) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 34.05/9.74 | % 34.05/9.74 +-Applying beta-rule and splitting (2073), into two cases. % 34.05/9.74 |-Branch one: % 34.05/9.74 | (705) all_0_44_44 = e1 % 34.05/9.74 | % 34.05/9.74 | Equations (705) can reduce 512 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (512) ~ (all_0_44_44 = e1) % 34.05/9.74 | (2077) all_0_44_44 = e3 | all_0_44_44 = e0 % 34.05/9.74 | % 34.05/9.74 +-Applying beta-rule and splitting (2077), into two cases. % 34.05/9.74 |-Branch one: % 34.05/9.74 | (2078) all_0_44_44 = e0 % 34.05/9.74 | % 34.05/9.74 | Equations (2078) can reduce 330 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (330) ~ (all_0_44_44 = e0) % 34.05/9.74 | (2081) all_0_44_44 = e3 % 34.05/9.74 | % 34.05/9.74 | Equations (2081) can reduce 310 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (683) ~ (all_0_40_40 = e1) % 34.05/9.74 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 34.05/9.74 | % 34.05/9.74 +-Applying beta-rule and splitting (684), into two cases. % 34.05/9.74 |-Branch one: % 34.05/9.74 | (748) all_0_48_48 = e1 % 34.05/9.74 | % 34.05/9.74 | Combining equations (748,609) yields a new equation: % 34.05/9.74 | (541) e4 = e1 % 34.05/9.74 | % 34.05/9.74 | Equations (541) can reduce 247 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (802) ~ (all_0_48_48 = e1) % 34.05/9.74 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 34.05/9.74 | % 34.05/9.74 +-Applying beta-rule and splitting (807), into two cases. % 34.05/9.74 |-Branch one: % 34.05/9.74 | (1070) all_0_52_52 = e1 % 34.05/9.74 | % 34.05/9.74 | Combining equations (1070,980) yields a new equation: % 34.05/9.74 | (585) e2 = e1 % 34.05/9.74 | % 34.05/9.74 | Equations (585) can reduce 144 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (502) ~ (all_0_52_52 = e1) % 34.05/9.74 | (583) all_0_56_56 = e1 % 34.05/9.74 | % 34.05/9.74 | Combining equations (2307,583) yields a new equation: % 34.05/9.74 | (590) e1 = e0 % 34.05/9.74 | % 34.05/9.74 | Equations (590) can reduce 134 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (678) ~ (all_0_50_50 = e1) % 34.05/9.74 | (1590) all_0_51_51 = e1 % 34.05/9.74 | % 34.05/9.74 | Combining equations (1590,927) yields a new equation: % 34.05/9.74 | (585) e2 = e1 % 34.05/9.74 | % 34.05/9.74 | Equations (585) can reduce 144 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 34.05/9.74 | % 34.05/9.74 | Applying alpha-rule on (499) yields: % 34.05/9.74 | (500) ~ (all_0_51_51 = e1) % 34.05/9.74 | (501) ~ (all_0_60_60 = e1) % 34.05/9.74 | (502) ~ (all_0_52_52 = e1) % 34.05/9.74 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 34.05/9.74 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 34.05/9.74 | (252) all_0_46_46 = e2 % 34.05/9.74 | (506) ~ (all_0_49_49 = e1) % 34.05/9.74 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 34.05/9.74 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 34.05/9.74 | (509) ~ (all_0_53_53 = e1) % 34.05/9.74 | (510) ~ (unit = e1) % 34.05/9.74 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 34.05/9.74 | (512) ~ (all_0_44_44 = e1) % 34.05/9.74 | % 34.05/9.74 | Equations (980) can reduce 502 to: % 34.05/9.74 | (144) ~ (e2 = e1) % 34.05/9.74 | % 34.05/9.74 +-Applying beta-rule and splitting (508), into two cases. % 34.05/9.74 |-Branch one: % 34.05/9.74 | (683) ~ (all_0_40_40 = e1) % 34.05/9.74 | % 34.05/9.74 +-Applying beta-rule and splitting (221), into two cases. % 34.05/9.74 |-Branch one: % 34.05/9.74 | (696) all_0_41_41 = e1 % 34.05/9.74 | % 34.05/9.74 | Combining equations (945,696) yields a new equation: % 34.05/9.74 | (584) e2 = e1 % 34.05/9.74 | % 34.05/9.74 | Simplifying 584 yields: % 34.05/9.74 | (585) e2 = e1 % 34.05/9.74 | % 34.05/9.74 | Equations (585) can reduce 144 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (699) ~ (all_0_41_41 = e1) % 34.05/9.74 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 34.05/9.74 | % 34.05/9.74 +-Applying beta-rule and splitting (367), into two cases. % 34.05/9.74 |-Branch one: % 34.05/9.74 | (714) all_0_50_50 = e4 % 34.05/9.74 | % 34.05/9.74 | Equations (714) can reduce 611 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (611) ~ (all_0_50_50 = e4) % 34.05/9.74 | (627) all_0_50_50 = e1 % 34.05/9.74 | % 34.05/9.74 | Equations (627) can reduce 611 to: % 34.05/9.74 | (605) ~ (e4 = e1) % 34.05/9.74 | % 34.05/9.74 | Simplifying 605 yields: % 34.05/9.74 | (247) ~ (e4 = e1) % 34.05/9.74 | % 34.05/9.74 | Equations (627) can reduce 258 to: % 34.05/9.74 | (565) ~ (e2 = e1) % 34.05/9.74 | % 34.05/9.74 | Simplifying 565 yields: % 34.05/9.74 | (144) ~ (e2 = e1) % 34.05/9.74 | % 34.05/9.74 | Equations (627) can reduce 207 to: % 34.05/9.74 | (134) ~ (e1 = e0) % 34.05/9.74 | % 34.05/9.74 +-Applying beta-rule and splitting (175), into two cases. % 34.05/9.74 |-Branch one: % 34.05/9.74 | (624) all_0_40_40 = e1 % 34.05/9.74 | % 34.05/9.74 | Equations (624) can reduce 683 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (683) ~ (all_0_40_40 = e1) % 34.05/9.74 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 34.05/9.74 | % 34.05/9.74 +-Applying beta-rule and splitting (2154), into two cases. % 34.05/9.74 |-Branch one: % 34.05/9.74 | (1580) all_0_49_49 = e1 % 34.05/9.74 | % 34.05/9.74 | Combining equations (384,1580) yields a new equation: % 34.05/9.74 | (590) e1 = e0 % 34.05/9.74 | % 34.05/9.74 | Equations (590) can reduce 134 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (506) ~ (all_0_49_49 = e1) % 34.05/9.74 | (2676) all_0_53_53 = e1 | all_0_57_57 = e1 % 34.05/9.74 | % 34.05/9.74 | Equations (384) can reduce 506 to: % 34.05/9.74 | (661) ~ (e1 = e0) % 34.05/9.74 | % 34.05/9.74 | Simplifying 661 yields: % 34.05/9.74 | (134) ~ (e1 = e0) % 34.05/9.74 | % 34.05/9.74 +-Applying beta-rule and splitting (684), into two cases. % 34.05/9.74 |-Branch one: % 34.05/9.74 | (748) all_0_48_48 = e1 % 34.05/9.74 | % 34.05/9.74 | Combining equations (609,748) yields a new equation: % 34.05/9.74 | (540) e4 = e1 % 34.05/9.74 | % 34.05/9.74 | Simplifying 540 yields: % 34.05/9.74 | (541) e4 = e1 % 34.05/9.74 | % 34.05/9.74 | Equations (541) can reduce 247 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (802) ~ (all_0_48_48 = e1) % 34.05/9.74 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 34.05/9.74 | % 34.05/9.74 +-Applying beta-rule and splitting (807), into two cases. % 34.05/9.74 |-Branch one: % 34.05/9.74 | (1070) all_0_52_52 = e1 % 34.05/9.74 | % 34.05/9.74 | Combining equations (1070,980) yields a new equation: % 34.05/9.74 | (585) e2 = e1 % 34.05/9.74 | % 34.05/9.74 | Equations (585) can reduce 144 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (502) ~ (all_0_52_52 = e1) % 34.05/9.74 | (583) all_0_56_56 = e1 % 34.05/9.74 | % 34.05/9.74 | Combining equations (583,2307) yields a new equation: % 34.05/9.74 | (670) e1 = e0 % 34.05/9.74 | % 34.05/9.74 | Simplifying 670 yields: % 34.05/9.74 | (590) e1 = e0 % 34.05/9.74 | % 34.05/9.74 | Equations (590) can reduce 134 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (624) all_0_40_40 = e1 % 34.05/9.74 | (614) all_0_43_43 = e4 % 34.05/9.74 | % 34.05/9.74 | Combining equations (447,614) yields a new equation: % 34.05/9.74 | (443) e4 = e3 % 34.05/9.74 | % 34.05/9.74 | Equations (443) can reduce 30 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 34.05/9.74 | % 34.05/9.74 | Applying alpha-rule on (514) yields: % 34.05/9.74 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 34.05/9.74 | (516) ~ (all_0_47_47 = e3) % 34.05/9.74 | (314) ~ (all_0_55_55 = e3) % 34.05/9.74 | (368) all_0_49_49 = e2 % 34.05/9.74 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 34.05/9.74 | (520) ~ (unit = e3) % 34.05/9.74 | (521) ~ (all_0_52_52 = e3) % 34.05/9.74 | (455) ~ (all_0_46_46 = e3) % 34.05/9.74 | (432) ~ (all_0_40_40 = e3) % 34.05/9.74 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 34.05/9.74 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 34.05/9.74 | (526) ~ (all_0_56_56 = e3) % 34.05/9.74 | % 34.05/9.74 | Combining equations (384,368) yields a new equation: % 34.05/9.74 | (385) e2 = e0 % 34.05/9.74 | % 34.05/9.74 | Equations (385) can reduce 51 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 34.05/9.74 | % 34.05/9.74 | Applying alpha-rule on (528) yields: % 34.05/9.74 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 34.05/9.74 | (530) all_0_55_55 = e1 % 34.05/9.74 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 34.05/9.74 | (387) ~ (all_0_49_49 = e0) % 34.05/9.74 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 34.05/9.74 | (534) ~ (all_0_45_45 = e0) % 34.05/9.74 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 34.05/9.74 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 34.05/9.74 | (537) ~ (unit = e0) % 34.05/9.74 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 34.05/9.74 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 34.05/9.74 | % 34.05/9.74 | Equations (384) can reduce 387 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 34.05/9.74 | % 34.05/9.74 | Applying alpha-rule on (543) yields: % 34.05/9.74 | (544) ~ (all_0_48_48 = e2) % 34.05/9.74 | (369) ~ (all_0_41_41 = e2) % 34.05/9.74 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 34.05/9.74 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 34.05/9.74 | (253) ~ (all_0_43_43 = e2) % 34.05/9.74 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 34.05/9.74 | (276) ~ (all_0_55_55 = e2) % 34.05/9.74 | (260) ~ (all_0_59_59 = e2) % 34.05/9.74 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 34.05/9.74 | (274) ~ (all_0_53_53 = e2) % 34.05/9.74 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 34.05/9.74 | (373) ~ (all_0_51_51 = e2) % 34.05/9.74 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 34.05/9.74 | (256) ~ (all_0_47_47 = e2) % 34.05/9.74 | (377) ~ (all_0_57_57 = e2) % 34.05/9.74 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 34.05/9.74 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 34.05/9.74 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 34.05/9.74 | (258) ~ (all_0_50_50 = e2) % 34.05/9.74 | (254) ~ (all_0_45_45 = e2) % 34.05/9.74 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 34.05/9.74 | % 34.05/9.74 | Equations (927) can reduce 373 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (721) ~ (all_0_48_48 = e4) % 34.05/9.74 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 34.05/9.74 | % 34.05/9.74 +-Applying beta-rule and splitting (212), into two cases. % 34.05/9.74 |-Branch one: % 34.05/9.74 | (727) all_0_48_48 = e2 % 34.05/9.74 | % 34.05/9.74 | Equations (727) can reduce 544 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (544) ~ (all_0_48_48 = e2) % 34.05/9.74 | (730) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 34.05/9.74 | % 34.05/9.74 +-Applying beta-rule and splitting (722), into two cases. % 34.05/9.74 |-Branch one: % 34.05/9.74 | (714) all_0_50_50 = e4 % 34.05/9.74 | % 34.05/9.74 | Equations (714) can reduce 48 to: % 34.05/9.74 | (721) ~ (all_0_48_48 = e4) % 34.05/9.74 | % 34.05/9.74 | Equations (714) can reduce 126 to: % 34.05/9.74 | (347) ~ (all_0_59_59 = e4) % 34.05/9.74 | % 34.05/9.74 | Simplifying 347 yields: % 34.05/9.74 | (348) ~ (all_0_59_59 = e4) % 34.05/9.74 | % 34.05/9.74 | Equations (714) can reduce 15 to: % 34.05/9.74 | (30) ~ (e4 = e3) % 34.05/9.74 | % 34.05/9.74 | Equations (714) can reduce 258 to: % 34.05/9.74 | (231) ~ (e4 = e2) % 34.05/9.74 | % 34.05/9.74 | Equations (714) can reduce 207 to: % 34.05/9.74 | (4) ~ (e4 = e0) % 34.05/9.74 | % 34.05/9.74 +-Applying beta-rule and splitting (243), into two cases. % 34.05/9.74 |-Branch one: % 34.05/9.74 | (877) all_0_56_56 = e4 % 34.05/9.74 | % 34.05/9.74 | Combining equations (2307,877) yields a new equation: % 34.05/9.74 | (654) e4 = e0 % 34.05/9.74 | % 34.05/9.74 | Equations (654) can reduce 4 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (345) ~ (all_0_56_56 = e4) % 34.05/9.74 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 34.05/9.74 | % 34.05/9.74 +-Applying beta-rule and splitting (730), into two cases. % 34.05/9.74 |-Branch one: % 34.05/9.74 | (609) all_0_48_48 = e4 % 34.05/9.74 | % 34.05/9.74 | Equations (609) can reduce 721 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (721) ~ (all_0_48_48 = e4) % 34.05/9.74 | (811) all_0_48_48 = e1 | all_0_48_48 = e0 % 34.05/9.74 | % 34.05/9.74 +-Applying beta-rule and splitting (4489), into two cases. % 34.05/9.74 |-Branch one: % 34.05/9.74 | (344) all_0_58_58 = e4 % 34.05/9.74 | % 34.05/9.74 | Combining equations (344,340) yields a new equation: % 34.05/9.74 | (878) e4 = e2 % 34.05/9.74 | % 34.05/9.74 | Simplifying 878 yields: % 34.05/9.74 | (470) e4 = e2 % 34.05/9.74 | % 34.05/9.74 | Equations (470) can reduce 231 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (3161) ~ (all_0_58_58 = e4) % 34.05/9.74 | (4996) all_0_59_59 = e4 | all_0_60_60 = e4 % 34.05/9.74 | % 34.05/9.74 +-Applying beta-rule and splitting (811), into two cases. % 34.05/9.74 |-Branch one: % 34.05/9.74 | (748) all_0_48_48 = e1 % 34.05/9.74 | % 34.05/9.74 | Equations (748) can reduce 53 to: % 34.05/9.74 | (683) ~ (all_0_40_40 = e1) % 34.05/9.74 | % 34.05/9.74 | Equations (748) can reduce 721 to: % 34.05/9.74 | (605) ~ (e4 = e1) % 34.05/9.74 | % 34.05/9.74 | Simplifying 605 yields: % 34.05/9.74 | (247) ~ (e4 = e1) % 34.05/9.74 | % 34.05/9.74 | Equations (748) can reduce 34 to: % 34.05/9.74 | (465) ~ (e3 = e1) % 34.05/9.74 | % 34.05/9.74 | Simplifying 465 yields: % 34.05/9.74 | (136) ~ (e3 = e1) % 34.05/9.74 | % 34.05/9.74 | Equations (748) can reduce 544 to: % 34.05/9.74 | (565) ~ (e2 = e1) % 34.05/9.74 | % 34.05/9.74 | Simplifying 565 yields: % 34.05/9.74 | (144) ~ (e2 = e1) % 34.05/9.74 | % 34.05/9.74 +-Applying beta-rule and splitting (4996), into two cases. % 34.05/9.74 |-Branch one: % 34.05/9.74 | (717) all_0_59_59 = e4 % 34.05/9.74 | % 34.05/9.74 | Equations (717) can reduce 348 to: % 34.05/9.74 | (303) $false % 34.05/9.74 | % 34.05/9.74 |-The branch is then unsatisfiable % 34.05/9.74 |-Branch two: % 34.05/9.74 | (348) ~ (all_0_59_59 = e4) % 34.05/9.74 | (1510) all_0_60_60 = e4 % 34.05/9.75 | % 34.05/9.75 | Equations (1510) can reduce 164 to: % 34.05/9.75 | (348) ~ (all_0_59_59 = e4) % 34.05/9.75 | % 34.05/9.75 | Equations (1510) can reduce 571 to: % 34.05/9.75 | (231) ~ (e4 = e2) % 34.05/9.75 | % 34.05/9.75 | Equations (1510) can reduce 414 to: % 34.05/9.75 | (4) ~ (e4 = e0) % 34.05/9.75 | % 34.05/9.75 +-Applying beta-rule and splitting (195), into two cases. % 34.05/9.75 |-Branch one: % 34.05/9.75 | (2081) all_0_44_44 = e3 % 34.05/9.75 | % 34.05/9.75 | Equations (2081) can reduce 310 to: % 34.05/9.75 | (303) $false % 34.05/9.75 | % 34.05/9.75 |-The branch is then unsatisfiable % 34.05/9.75 |-Branch two: % 34.05/9.75 | (310) ~ (all_0_44_44 = e3) % 34.05/9.75 | (7006) all_0_47_47 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 34.05/9.75 | % 34.05/9.75 +-Applying beta-rule and splitting (7006), into two cases. % 34.05/9.75 |-Branch one: % 34.05/9.75 | (309) all_0_47_47 = e3 % 34.05/9.75 | % 34.05/9.75 | Combining equations (306,309) yields a new equation: % 34.05/9.75 | (497) e3 = e0 % 34.05/9.75 | % 34.05/9.75 | Equations (497) can reduce 70 to: % 34.05/9.75 | (303) $false % 34.05/9.75 | % 34.05/9.75 |-The branch is then unsatisfiable % 34.05/9.75 |-Branch two: % 34.05/9.75 | (516) ~ (all_0_47_47 = e3) % 34.05/9.75 | (7012) all_0_55_55 = e3 | all_0_60_60 = e3 % 34.05/9.75 | % 34.05/9.75 +-Applying beta-rule and splitting (7012), into two cases. % 34.05/9.75 |-Branch one: % 34.05/9.75 | (2165) all_0_55_55 = e3 % 34.05/9.75 | % 34.05/9.75 | Equations (2165) can reduce 59 to: % 34.05/9.75 | (310) ~ (all_0_44_44 = e3) % 34.05/9.75 | % 34.05/9.75 | Equations (2165) can reduce 131 to: % 34.05/9.75 | (428) ~ (all_0_53_53 = e3) % 34.05/9.75 | % 34.05/9.75 | Equations (2165) can reduce 276 to: % 34.05/9.75 | (223) ~ (e3 = e2) % 34.05/9.75 | % 34.05/9.75 | Equations (2165) can reduce 93 to: % 34.05/9.75 | (70) ~ (e3 = e0) % 34.05/9.75 | % 34.05/9.75 | From (2165) and (155) follows: % 34.05/9.75 | (7016) op(e3, e1) = all_0_29_29 % 34.05/9.75 | % 34.05/9.75 | From (2165) and (219) follows: % 34.05/9.75 | (17534) op(e3, e0) = all_0_30_30 % 34.05/9.75 | % 34.05/9.75 | From (2165) and (240) follows: % 34.05/9.75 | (17535) op(e1, e0) = e3 % 34.05/9.75 | % 34.05/9.75 +-Applying beta-rule and splitting (237), into two cases. % 34.05/9.75 |-Branch one: % 34.05/9.75 | (431) all_0_41_41 = e3 % 34.05/9.75 | % 34.05/9.75 | Combining equations (945,431) yields a new equation: % 34.05/9.75 | (453) e3 = e2 % 34.05/9.75 | % 34.05/9.75 | Equations (453) can reduce 223 to: % 34.05/9.75 | (303) $false % 34.05/9.75 | % 34.05/9.75 |-The branch is then unsatisfiable % 34.05/9.75 |-Branch two: % 34.05/9.75 | (996) ~ (all_0_41_41 = e3) % 34.05/9.75 | (997) all_0_53_53 = e3 | all_0_57_57 = e3 % 34.05/9.75 | % 34.05/9.75 +-Applying beta-rule and splitting (196), into two cases. % 34.05/9.75 |-Branch one: % 34.05/9.75 | (723) all_0_40_40 = e4 % 34.05/9.75 | % 34.05/9.75 | Equations (723) can reduce 683 to: % 34.05/9.75 | (247) ~ (e4 = e1) % 34.05/9.75 | % 34.05/9.75 +-Applying beta-rule and splitting (209), into two cases. % 34.05/9.75 |-Branch one: % 34.05/9.75 | (1111) all_0_56_56 = e3 % 34.05/9.75 | % 34.05/9.75 | Combining equations (2307,1111) yields a new equation: % 34.05/9.75 | (497) e3 = e0 % 34.05/9.75 | % 34.05/9.75 | Equations (497) can reduce 70 to: % 34.05/9.75 | (303) $false % 34.05/9.75 | % 34.05/9.75 |-The branch is then unsatisfiable % 34.05/9.75 |-Branch two: % 34.05/9.75 | (526) ~ (all_0_56_56 = e3) % 34.05/9.75 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 34.05/9.75 | % 34.05/9.75 +-Applying beta-rule and splitting (1491), into two cases. % 34.05/9.75 |-Branch one: % 34.05/9.75 | (1001) all_0_57_57 = e3 % 34.05/9.75 | % 34.05/9.75 | Equations (1001) can reduce 251 to: % 34.05/9.75 | (428) ~ (all_0_53_53 = e3) % 34.05/9.75 | % 34.05/9.75 | Equations (1001) can reduce 222 to: % 34.05/9.75 | (1030) ~ (all_0_59_59 = e3) % 34.05/9.75 | % 34.05/9.75 | Simplifying 1030 yields: % 34.05/9.75 | (1031) ~ (all_0_59_59 = e3) % 34.05/9.75 | % 34.05/9.75 | From (1001) and (35) follows: % 34.05/9.75 | (17552) op(e3, e3) = all_0_34_34 % 34.05/9.75 | % 34.05/9.75 | From (1001) and (205) follows: % 34.05/9.75 | (17553) op(e3, e0) = all_0_33_33 % 34.05/9.75 | % 34.05/9.75 | From (1001) and (5) follows: % 34.05/9.75 | (1196) op(e0, e3) = e3 % 34.05/9.75 | % 34.05/9.75 +-Applying beta-rule and splitting (44), into two cases. % 34.05/9.75 |-Branch one: % 34.05/9.75 | (624) all_0_40_40 = e1 % 34.05/9.75 | % 34.05/9.75 | Combining equations (723,624) yields a new equation: % 34.05/9.75 | (540) e4 = e1 % 34.05/9.75 | % 34.05/9.75 | Simplifying 540 yields: % 34.05/9.75 | (541) e4 = e1 % 34.05/9.75 | % 34.05/9.75 | Equations (541) can reduce 247 to: % 34.05/9.75 | (303) $false % 34.05/9.75 | % 34.05/9.75 |-The branch is then unsatisfiable % 34.05/9.75 |-Branch two: % 34.05/9.75 | (683) ~ (all_0_40_40 = e1) % 34.05/9.75 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 34.05/9.75 | % 34.05/9.75 | Equations (723) can reduce 683 to: % 34.05/9.75 | (247) ~ (e4 = e1) % 34.05/9.75 | % 34.05/9.75 +-Applying beta-rule and splitting (27), into two cases. % 34.05/9.75 |-Branch one: % 34.05/9.75 | (705) all_0_44_44 = e1 % 34.05/9.75 | % 34.05/9.75 | Equations (705) can reduce 310 to: % 34.05/9.75 | (465) ~ (e3 = e1) % 34.05/9.75 | % 34.05/9.75 | Simplifying 465 yields: % 34.05/9.75 | (136) ~ (e3 = e1) % 34.05/9.75 | % 34.05/9.75 | From (705) and (128) follows: % 34.05/9.75 | (4263) op(e1, e0) = all_0_8_8 % 34.05/9.75 | % 34.05/9.75 +-Applying beta-rule and splitting (56), into two cases. % 34.05/9.75 |-Branch one: % 34.05/9.75 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 34.05/9.75 | % 34.05/9.75 +-Applying beta-rule and splitting (480), into two cases. % 34.05/9.75 |-Branch one: % 34.05/9.75 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 34.05/9.75 | % 34.05/9.75 +-Applying beta-rule and splitting (481), into two cases. % 34.05/9.75 |-Branch one: % 34.05/9.75 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 34.05/9.75 | % 34.05/9.75 +-Applying beta-rule and splitting (482), into two cases. % 34.05/9.75 |-Branch one: % 34.05/9.75 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 34.05/9.75 | % 34.05/9.75 | Applying alpha-rule on (483) yields: % 34.05/9.75 | (484) ~ (unit = e4) % 34.05/9.75 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 34.05/9.75 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 34.05/9.75 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 34.05/9.75 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 34.05/9.75 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 34.05/9.75 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 34.05/9.75 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 34.05/9.75 | (492) ~ (all_0_55_55 = e4) % 34.05/9.75 | (493) all_0_45_45 = e3 % 34.05/9.75 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 34.05/9.75 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 34.05/9.75 | % 34.05/9.75 +-Applying beta-rule and splitting (363), into two cases. % 34.05/9.75 |-Branch one: % 34.05/9.75 | (462) all_0_53_53 = e1 % 34.05/9.75 | % 34.05/9.75 | Equations (462) can reduce 229 to: % 34.05/9.75 | (605) ~ (e4 = e1) % 34.05/9.75 | % 34.05/9.75 | Simplifying 605 yields: % 34.05/9.75 | (247) ~ (e4 = e1) % 34.05/9.75 | % 34.05/9.75 | From (462) and (242) follows: % 34.05/9.75 | (3366) op(e1, e3) = all_0_26_26 % 34.05/9.75 | % 34.05/9.75 | From (462) and (224) follows: % 34.05/9.75 | (468) op(e1, e3) = e1 % 34.05/9.75 | % 34.05/9.75 +-Applying beta-rule and splitting (623), into two cases. % 34.05/9.75 |-Branch one: % 34.05/9.75 | (627) all_0_50_50 = e1 % 34.05/9.75 | % 34.05/9.75 | Combining equations (627,714) yields a new equation: % 34.05/9.75 | (541) e4 = e1 % 34.05/9.75 | % 34.05/9.75 | Equations (541) can reduce 247 to: % 34.05/9.75 | (303) $false % 34.05/9.75 | % 34.05/9.75 |-The branch is then unsatisfiable % 34.05/9.75 |-Branch two: % 34.05/9.75 | (678) ~ (all_0_50_50 = e1) % 34.05/9.75 | (600) all_0_59_59 = e1 % 34.05/9.75 | % 34.05/9.75 | Equations (600) can reduce 216 to: % 34.05/9.75 | (134) ~ (e1 = e0) % 34.05/9.75 | % 34.05/9.75 | From (600) and (16) follows: % 34.05/9.75 | (4284) op(e1, e0) = all_0_37_37 % 34.05/9.75 | % 34.05/9.75 | Instantiating formula (29) with e3, e3, all_0_34_34, e4 and discharging atoms op(e3, e3) = all_0_34_34, op(e3, e3) = e4, yields: % 34.05/9.75 | (17594) all_0_34_34 = e4 % 34.05/9.75 | % 34.05/9.75 | Instantiating formula (29) with e3, e1, all_0_29_29, e2 and discharging atoms op(e3, e1) = all_0_29_29, op(e3, e1) = e2, yields: % 34.05/9.75 | (7025) all_0_29_29 = e2 % 34.05/9.75 | % 34.05/9.75 | Instantiating formula (29) with e3, e0, all_0_30_30, e0 and discharging atoms op(e3, e0) = all_0_30_30, op(e3, e0) = e0, yields: % 34.05/9.75 | (17596) all_0_30_30 = e0 % 34.05/9.75 | % 34.05/9.75 | Instantiating formula (29) with e3, e0, all_0_33_33, all_0_30_30 and discharging atoms op(e3, e0) = all_0_30_30, op(e3, e0) = all_0_33_33, yields: % 34.05/9.75 | (17597) all_0_30_30 = all_0_33_33 % 34.05/9.75 | % 34.05/9.75 | Instantiating formula (29) with e1, e3, e1, all_0_26_26 and discharging atoms op(e1, e3) = all_0_26_26, op(e1, e3) = e1, yields: % 34.05/9.75 | (3585) all_0_26_26 = e1 % 34.05/9.75 | % 34.05/9.75 | Instantiating formula (29) with e1, e0, all_0_37_37, all_0_8_8 and discharging atoms op(e1, e0) = all_0_8_8, op(e1, e0) = all_0_37_37, yields: % 34.05/9.75 | (4410) all_0_8_8 = all_0_37_37 % 34.05/9.75 | % 34.05/9.75 | Instantiating formula (29) with e1, e0, e3, all_0_8_8 and discharging atoms op(e1, e0) = all_0_8_8, op(e1, e0) = e3, yields: % 34.05/9.76 | (17600) all_0_8_8 = e3 % 34.05/9.76 | % 34.05/9.76 | Combining equations (17600,4410) yields a new equation: % 34.05/9.76 | (17601) all_0_37_37 = e3 % 34.05/9.76 | % 34.05/9.76 | Combining equations (17596,17597) yields a new equation: % 34.05/9.76 | (17602) all_0_33_33 = e0 % 34.05/9.76 | % 34.05/9.76 | From (17594) and (17552) follows: % 34.05/9.76 | (22) op(e3, e3) = e4 % 34.05/9.76 | % 34.05/9.76 | From (7025) and (7016) follows: % 34.05/9.76 | (266) op(e3, e1) = e2 % 34.05/9.76 | % 34.05/9.76 | From (17602) and (17553) follows: % 34.05/9.76 | (6269) op(e3, e0) = e0 % 34.05/9.76 | % 34.05/9.76 | From (3585) and (3366) follows: % 34.05/9.76 | (468) op(e1, e3) = e1 % 34.05/9.76 | % 34.05/9.76 | From (17601) and (4284) follows: % 34.05/9.76 | (17535) op(e1, e0) = e3 % 34.05/9.76 | % 34.05/9.76 +-Applying beta-rule and splitting (62), into two cases. % 34.05/9.76 |-Branch one: % 34.05/9.76 | (631) unit = e2 % 34.05/9.76 | % 34.05/9.76 | From (631) and (98) follows: % 34.05/9.76 | (5015) op(e3, e2) = e3 % 34.05/9.76 | % 34.05/9.76 | From (631) and (74) follows: % 34.05/9.76 | (2715) op(e2, e2) = e2 % 34.05/9.76 | % 34.05/9.76 | From (631) and (111) follows: % 34.05/9.76 | (1167) op(e0, e2) = e0 % 34.05/9.76 | % 34.05/9.76 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 34.05/9.76 | (601) e3 = e1 % 34.05/9.76 | % 34.05/9.76 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 34.05/9.76 | (453) e3 = e2 % 34.05/9.76 | % 34.05/9.76 | Instantiating formula (29) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 34.05/9.76 | (385) e2 = e0 % 34.05/9.76 | % 34.05/9.76 | Combining equations (453,601) yields a new equation: % 34.05/9.76 | (584) e2 = e1 % 34.05/9.76 | % 34.05/9.76 | Simplifying 584 yields: % 34.05/9.76 | (585) e2 = e1 % 34.05/9.76 | % 34.05/9.76 | Combining equations (585,385) yields a new equation: % 34.05/9.76 | (670) e1 = e0 % 34.05/9.76 | % 34.05/9.76 | Simplifying 670 yields: % 34.05/9.76 | (590) e1 = e0 % 34.05/9.76 | % 34.05/9.76 | Equations (590) can reduce 134 to: % 34.05/9.76 | (303) $false % 34.05/9.76 | % 34.05/9.76 |-The branch is then unsatisfiable % 34.05/9.76 |-Branch two: % 34.05/9.76 | (599) ~ (unit = e2) % 34.05/9.76 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 34.05/9.76 | % 34.05/9.76 +-Applying beta-rule and splitting (634), into two cases. % 34.05/9.76 |-Branch one: % 34.05/9.76 | (635) unit = e4 % 34.05/9.76 | % 34.05/9.76 | Equations (635) can reduce 484 to: % 34.05/9.76 | (303) $false % 34.05/9.76 | % 34.05/9.76 |-The branch is then unsatisfiable % 34.05/9.76 |-Branch two: % 34.05/9.76 | (484) ~ (unit = e4) % 34.05/9.76 | (647) unit = e3 | unit = e1 | unit = e0 % 34.05/9.76 | % 34.05/9.76 +-Applying beta-rule and splitting (647), into two cases. % 34.05/9.76 |-Branch one: % 34.05/9.76 | (648) unit = e1 % 34.05/9.76 | % 34.05/9.76 | From (648) and (232) follows: % 34.05/9.76 | (650) op(e1, e3) = e3 % 34.05/9.76 | % 34.05/9.76 | From (648) and (189) follows: % 34.05/9.76 | (651) op(e1, e0) = e0 % 34.05/9.76 | % 34.05/9.76 | Instantiating formula (29) with e1, e3, e3, e1 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 34.05/9.76 | (601) e3 = e1 % 34.05/9.76 | % 34.05/9.76 | Instantiating formula (29) with e1, e0, e0, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e0, yields: % 34.05/9.76 | (497) e3 = e0 % 34.05/9.76 | % 34.05/9.76 | Combining equations (601,497) yields a new equation: % 34.05/9.76 | (670) e1 = e0 % 34.05/9.76 | % 34.05/9.76 | Simplifying 670 yields: % 34.05/9.76 | (590) e1 = e0 % 34.05/9.76 | % 34.05/9.76 | Equations (590) can reduce 134 to: % 34.05/9.76 | (303) $false % 34.05/9.76 | % 34.05/9.76 |-The branch is then unsatisfiable % 34.05/9.76 |-Branch two: % 34.05/9.76 | (510) ~ (unit = e1) % 34.05/9.76 | (659) unit = e3 | unit = e0 % 34.05/9.76 | % 34.05/9.76 +-Applying beta-rule and splitting (659), into two cases. % 34.05/9.76 |-Branch one: % 34.05/9.76 | (660) unit = e0 % 34.05/9.76 | % 34.05/9.76 | Equations (660) can reduce 510 to: % 34.05/9.76 | (661) ~ (e1 = e0) % 34.05/9.76 | % 34.05/9.76 | Simplifying 661 yields: % 34.05/9.76 | (134) ~ (e1 = e0) % 34.05/9.76 | % 34.05/9.76 | From (660) and (98) follows: % 34.05/9.76 | (17639) op(e3, e0) = e3 % 34.05/9.76 | % 34.05/9.76 | From (660) and (190) follows: % 34.05/9.76 | (665) op(e1, e0) = e1 % 34.05/9.76 | % 34.05/9.76 | Instantiating formula (29) with e3, e0, e3, e0 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 34.05/9.76 | (497) e3 = e0 % 34.05/9.76 | % 34.05/9.76 | Instantiating formula (29) with e1, e0, e1, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e1, yields: % 34.05/9.76 | (601) e3 = e1 % 34.05/9.76 | % 34.05/9.76 | Combining equations (497,601) yields a new equation: % 34.05/9.76 | (590) e1 = e0 % 34.05/9.76 | % 34.05/9.76 | Equations (590) can reduce 134 to: % 34.05/9.76 | (303) $false % 34.05/9.76 | % 34.05/9.76 |-The branch is then unsatisfiable % 34.05/9.76 |-Branch two: % 34.05/9.76 | (537) ~ (unit = e0) % 34.05/9.76 | (674) unit = e3 % 34.05/9.76 | % 34.05/9.76 | From (674) and (38) follows: % 34.05/9.76 | (675) op(e3, e1) = e1 % 34.05/9.76 | % 34.05/9.76 | From (674) and (130) follows: % 34.05/9.76 | (2756) op(e4, e3) = e4 % 34.05/9.76 | % 34.05/9.76 | From (674) and (98) follows: % 34.05/9.76 | (1208) op(e3, e3) = e3 % 34.05/9.76 | % 34.05/9.76 | From (674) and (111) follows: % 34.05/9.76 | (420) op(e0, e3) = e0 % 34.05/9.76 | % 34.05/9.76 | Instantiating formula (29) with e4, e3, e4, e2 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e2, yields: % 34.05/9.76 | (470) e4 = e2 % 34.05/9.76 | % 34.05/9.76 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 34.05/9.76 | (443) e4 = e3 % 34.05/9.76 | % 34.05/9.76 | Instantiating formula (29) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 34.05/9.76 | (585) e2 = e1 % 34.05/9.76 | % 34.05/9.76 | Instantiating formula (29) with e0, e3, e0, e3 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields: % 34.05/9.76 | (497) e3 = e0 % 34.05/9.76 | % 34.05/9.76 | Combining equations (470,443) yields a new equation: % 34.05/9.76 | (453) e3 = e2 % 34.05/9.76 | % 34.05/9.76 | Combining equations (453,497) yields a new equation: % 34.05/9.76 | (403) e2 = e0 % 34.05/9.76 | % 34.05/9.76 | Simplifying 403 yields: % 34.05/9.76 | (385) e2 = e0 % 34.05/9.76 | % 34.05/9.76 | Combining equations (385,585) yields a new equation: % 34.05/9.76 | (590) e1 = e0 % 34.05/9.76 | % 34.05/9.76 | Equations (590) can reduce 134 to: % 34.05/9.76 | (303) $false % 34.05/9.76 | % 34.05/9.76 |-The branch is then unsatisfiable % 34.05/9.76 |-Branch two: % 34.05/9.76 | (509) ~ (all_0_53_53 = e1) % 34.05/9.76 | (994) all_0_53_53 = e3 % 34.05/9.76 | % 34.05/9.76 | Equations (994) can reduce 428 to: % 34.05/9.76 | (303) $false % 34.05/9.76 | % 34.05/9.76 |-The branch is then unsatisfiable % 34.05/9.76 |-Branch two: % 34.05/9.76 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 34.05/9.76 | % 34.05/9.76 | Applying alpha-rule on (499) yields: % 34.05/9.76 | (500) ~ (all_0_51_51 = e1) % 34.05/9.76 | (501) ~ (all_0_60_60 = e1) % 34.05/9.76 | (502) ~ (all_0_52_52 = e1) % 34.05/9.76 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 34.05/9.76 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 34.05/9.76 | (252) all_0_46_46 = e2 % 34.05/9.76 | (506) ~ (all_0_49_49 = e1) % 34.05/9.76 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 34.05/9.76 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 34.05/9.76 | (509) ~ (all_0_53_53 = e1) % 34.05/9.77 | (510) ~ (unit = e1) % 34.05/9.77 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 34.05/9.77 | (512) ~ (all_0_44_44 = e1) % 34.05/9.77 | % 34.05/9.77 | Equations (705) can reduce 512 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 34.05/9.77 | % 34.05/9.77 | Applying alpha-rule on (514) yields: % 34.05/9.77 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 34.05/9.77 | (516) ~ (all_0_47_47 = e3) % 34.05/9.77 | (314) ~ (all_0_55_55 = e3) % 34.05/9.77 | (368) all_0_49_49 = e2 % 34.05/9.77 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 34.05/9.77 | (520) ~ (unit = e3) % 34.05/9.77 | (521) ~ (all_0_52_52 = e3) % 34.05/9.77 | (455) ~ (all_0_46_46 = e3) % 34.05/9.77 | (432) ~ (all_0_40_40 = e3) % 34.05/9.77 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 34.05/9.77 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 34.05/9.77 | (526) ~ (all_0_56_56 = e3) % 34.05/9.77 | % 34.05/9.77 | Combining equations (368,384) yields a new equation: % 34.05/9.77 | (403) e2 = e0 % 34.05/9.77 | % 34.05/9.77 | Simplifying 403 yields: % 34.05/9.77 | (385) e2 = e0 % 34.05/9.77 | % 34.05/9.77 | Equations (385) can reduce 51 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 34.05/9.77 | % 34.05/9.77 | Applying alpha-rule on (528) yields: % 34.05/9.77 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 34.05/9.77 | (530) all_0_55_55 = e1 % 34.05/9.77 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 34.05/9.77 | (387) ~ (all_0_49_49 = e0) % 34.05/9.77 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 34.05/9.77 | (534) ~ (all_0_45_45 = e0) % 34.05/9.77 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 34.05/9.77 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 34.05/9.77 | (537) ~ (unit = e0) % 34.05/9.77 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 34.05/9.77 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 34.05/9.77 | % 34.05/9.77 | Combining equations (2165,530) yields a new equation: % 34.05/9.77 | (680) e3 = e1 % 34.05/9.77 | % 34.05/9.77 | Simplifying 680 yields: % 34.05/9.77 | (601) e3 = e1 % 34.05/9.77 | % 34.05/9.77 | Equations (601) can reduce 136 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 34.05/9.77 | % 34.05/9.77 | Applying alpha-rule on (543) yields: % 34.05/9.77 | (544) ~ (all_0_48_48 = e2) % 34.05/9.77 | (369) ~ (all_0_41_41 = e2) % 34.05/9.77 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 34.05/9.77 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 34.05/9.77 | (253) ~ (all_0_43_43 = e2) % 34.05/9.77 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 34.05/9.77 | (276) ~ (all_0_55_55 = e2) % 34.05/9.77 | (260) ~ (all_0_59_59 = e2) % 34.05/9.77 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 34.05/9.77 | (274) ~ (all_0_53_53 = e2) % 34.05/9.77 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 34.05/9.77 | (373) ~ (all_0_51_51 = e2) % 34.05/9.77 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 34.05/9.77 | (256) ~ (all_0_47_47 = e2) % 34.05/9.77 | (377) ~ (all_0_57_57 = e2) % 34.05/9.77 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 34.05/9.77 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 34.05/9.77 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 34.05/9.77 | (258) ~ (all_0_50_50 = e2) % 34.05/9.77 | (254) ~ (all_0_45_45 = e2) % 34.05/9.77 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 34.05/9.77 | % 34.05/9.77 | Equations (927) can reduce 373 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (512) ~ (all_0_44_44 = e1) % 34.05/9.77 | (1589) all_0_51_51 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1 % 34.05/9.77 | % 34.05/9.77 +-Applying beta-rule and splitting (623), into two cases. % 34.05/9.77 |-Branch one: % 34.05/9.77 | (627) all_0_50_50 = e1 % 34.05/9.77 | % 34.05/9.77 | Combining equations (714,627) yields a new equation: % 34.05/9.77 | (540) e4 = e1 % 34.05/9.77 | % 34.05/9.77 | Simplifying 540 yields: % 34.05/9.77 | (541) e4 = e1 % 34.05/9.77 | % 34.05/9.77 | Equations (541) can reduce 247 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (678) ~ (all_0_50_50 = e1) % 34.05/9.77 | (600) all_0_59_59 = e1 % 34.05/9.77 | % 34.05/9.77 | Equations (600) can reduce 1031 to: % 34.05/9.77 | (465) ~ (e3 = e1) % 34.05/9.77 | % 34.05/9.77 | Simplifying 465 yields: % 34.05/9.77 | (136) ~ (e3 = e1) % 34.05/9.77 | % 34.05/9.77 +-Applying beta-rule and splitting (1073), into two cases. % 34.05/9.77 |-Branch one: % 34.05/9.77 | (462) all_0_53_53 = e1 % 34.05/9.77 | % 34.05/9.77 | Equations (462) can reduce 428 to: % 34.05/9.77 | (465) ~ (e3 = e1) % 34.05/9.77 | % 34.05/9.77 | Simplifying 465 yields: % 34.05/9.77 | (136) ~ (e3 = e1) % 34.05/9.77 | % 34.05/9.77 | Equations (462) can reduce 274 to: % 34.05/9.77 | (565) ~ (e2 = e1) % 34.05/9.77 | % 34.05/9.77 | Simplifying 565 yields: % 34.05/9.77 | (144) ~ (e2 = e1) % 34.05/9.77 | % 34.05/9.77 +-Applying beta-rule and splitting (688), into two cases. % 34.05/9.77 |-Branch one: % 34.05/9.77 | (696) all_0_41_41 = e1 % 34.05/9.77 | % 34.05/9.77 | Combining equations (945,696) yields a new equation: % 34.05/9.77 | (584) e2 = e1 % 34.05/9.77 | % 34.05/9.77 | Simplifying 584 yields: % 34.05/9.77 | (585) e2 = e1 % 34.05/9.77 | % 34.05/9.77 | Equations (585) can reduce 144 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (699) ~ (all_0_41_41 = e1) % 34.05/9.77 | (700) all_0_43_43 = e1 | all_0_44_44 = e1 % 34.05/9.77 | % 34.05/9.77 +-Applying beta-rule and splitting (700), into two cases. % 34.05/9.77 |-Branch one: % 34.05/9.77 | (618) all_0_43_43 = e1 % 34.05/9.77 | % 34.05/9.77 | Combining equations (447,618) yields a new equation: % 34.05/9.77 | (680) e3 = e1 % 34.05/9.77 | % 34.05/9.77 | Simplifying 680 yields: % 34.05/9.77 | (601) e3 = e1 % 34.05/9.77 | % 34.05/9.77 | Equations (601) can reduce 136 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (622) ~ (all_0_43_43 = e1) % 34.05/9.77 | (705) all_0_44_44 = e1 % 34.05/9.77 | % 34.05/9.77 | Equations (705) can reduce 512 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (509) ~ (all_0_53_53 = e1) % 34.05/9.77 | (530) all_0_55_55 = e1 % 34.05/9.77 | % 34.05/9.77 | Combining equations (530,2165) yields a new equation: % 34.05/9.77 | (601) e3 = e1 % 34.05/9.77 | % 34.05/9.77 | Equations (601) can reduce 136 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (2590) ~ (all_0_57_57 = e3) % 34.05/9.77 | (2977) all_0_59_59 = e3 | all_0_60_60 = e3 % 34.05/9.77 | % 34.05/9.77 +-Applying beta-rule and splitting (997), into two cases. % 34.05/9.77 |-Branch one: % 34.05/9.77 | (994) all_0_53_53 = e3 % 34.05/9.77 | % 34.05/9.77 | Equations (994) can reduce 428 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (428) ~ (all_0_53_53 = e3) % 34.05/9.77 | (1001) all_0_57_57 = e3 % 34.05/9.77 | % 34.05/9.77 | Equations (1001) can reduce 2590 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (844) ~ (all_0_40_40 = e4) % 34.05/9.77 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 34.05/9.77 | % 34.05/9.77 +-Applying beta-rule and splitting (27), into two cases. % 34.05/9.77 |-Branch one: % 34.05/9.77 | (705) all_0_44_44 = e1 % 34.05/9.77 | % 34.05/9.77 | Equations (705) can reduce 310 to: % 34.05/9.77 | (465) ~ (e3 = e1) % 34.05/9.77 | % 34.05/9.77 | Simplifying 465 yields: % 34.05/9.77 | (136) ~ (e3 = e1) % 34.05/9.77 | % 34.05/9.77 +-Applying beta-rule and splitting (1073), into two cases. % 34.05/9.77 |-Branch one: % 34.05/9.77 | (462) all_0_53_53 = e1 % 34.05/9.77 | % 34.05/9.77 | Equations (462) can reduce 229 to: % 34.05/9.77 | (605) ~ (e4 = e1) % 34.05/9.77 | % 34.05/9.77 | Simplifying 605 yields: % 34.05/9.77 | (247) ~ (e4 = e1) % 34.05/9.77 | % 34.05/9.77 +-Applying beta-rule and splitting (623), into two cases. % 34.05/9.77 |-Branch one: % 34.05/9.77 | (627) all_0_50_50 = e1 % 34.05/9.77 | % 34.05/9.77 | Combining equations (714,627) yields a new equation: % 34.05/9.77 | (540) e4 = e1 % 34.05/9.77 | % 34.05/9.77 | Simplifying 540 yields: % 34.05/9.77 | (541) e4 = e1 % 34.05/9.77 | % 34.05/9.77 | Equations (541) can reduce 247 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (678) ~ (all_0_50_50 = e1) % 34.05/9.77 | (600) all_0_59_59 = e1 % 34.05/9.77 | % 34.05/9.77 | Equations (600) can reduce 348 to: % 34.05/9.77 | (605) ~ (e4 = e1) % 34.05/9.77 | % 34.05/9.77 | Simplifying 605 yields: % 34.05/9.77 | (247) ~ (e4 = e1) % 34.05/9.77 | % 34.05/9.77 +-Applying beta-rule and splitting (845), into two cases. % 34.05/9.77 |-Branch one: % 34.05/9.77 | (609) all_0_48_48 = e4 % 34.05/9.77 | % 34.05/9.77 | Combining equations (748,609) yields a new equation: % 34.05/9.77 | (541) e4 = e1 % 34.05/9.77 | % 34.05/9.77 | Equations (541) can reduce 247 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (721) ~ (all_0_48_48 = e4) % 34.05/9.77 | (871) all_0_52_52 = e4 | all_0_56_56 = e4 % 34.05/9.77 | % 34.05/9.77 +-Applying beta-rule and splitting (871), into two cases. % 34.05/9.77 |-Branch one: % 34.05/9.77 | (442) all_0_52_52 = e4 % 34.05/9.77 | % 34.05/9.77 | Combining equations (442,980) yields a new equation: % 34.05/9.77 | (878) e4 = e2 % 34.05/9.77 | % 34.05/9.77 | Simplifying 878 yields: % 34.05/9.77 | (470) e4 = e2 % 34.05/9.77 | % 34.05/9.77 | Equations (470) can reduce 231 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (445) ~ (all_0_52_52 = e4) % 34.05/9.77 | (877) all_0_56_56 = e4 % 34.05/9.77 | % 34.05/9.77 | Combining equations (877,2307) yields a new equation: % 34.05/9.77 | (1573) e4 = e0 % 34.05/9.77 | % 34.05/9.77 | Simplifying 1573 yields: % 34.05/9.77 | (654) e4 = e0 % 34.05/9.77 | % 34.05/9.77 | Equations (654) can reduce 4 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (509) ~ (all_0_53_53 = e1) % 34.05/9.77 | (530) all_0_55_55 = e1 % 34.05/9.77 | % 34.05/9.77 | Combining equations (2165,530) yields a new equation: % 34.05/9.77 | (680) e3 = e1 % 34.05/9.77 | % 34.05/9.77 | Simplifying 680 yields: % 34.05/9.77 | (601) e3 = e1 % 34.05/9.77 | % 34.05/9.77 | Equations (601) can reduce 136 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (512) ~ (all_0_44_44 = e1) % 34.05/9.77 | (1589) all_0_51_51 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1 % 34.05/9.77 | % 34.05/9.77 +-Applying beta-rule and splitting (1589), into two cases. % 34.05/9.77 |-Branch one: % 34.05/9.77 | (1590) all_0_51_51 = e1 % 34.05/9.77 | % 34.05/9.77 | Combining equations (927,1590) yields a new equation: % 34.05/9.77 | (584) e2 = e1 % 34.05/9.77 | % 34.05/9.77 | Simplifying 584 yields: % 34.05/9.77 | (585) e2 = e1 % 34.05/9.77 | % 34.05/9.77 | Equations (585) can reduce 144 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (500) ~ (all_0_51_51 = e1) % 34.05/9.77 | (1594) all_0_55_55 = e1 | all_0_60_60 = e1 % 34.05/9.77 | % 34.05/9.77 +-Applying beta-rule and splitting (1594), into two cases. % 34.05/9.77 |-Branch one: % 34.05/9.77 | (530) all_0_55_55 = e1 % 34.05/9.77 | % 34.05/9.77 | Combining equations (2165,530) yields a new equation: % 34.05/9.77 | (680) e3 = e1 % 34.05/9.77 | % 34.05/9.77 | Simplifying 680 yields: % 34.05/9.77 | (601) e3 = e1 % 34.05/9.77 | % 34.05/9.77 | Equations (601) can reduce 136 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (464) ~ (all_0_55_55 = e1) % 34.05/9.77 | (604) all_0_60_60 = e1 % 34.05/9.77 | % 34.05/9.77 | Combining equations (604,1510) yields a new equation: % 34.05/9.77 | (541) e4 = e1 % 34.05/9.77 | % 34.05/9.77 | Equations (541) can reduce 247 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (314) ~ (all_0_55_55 = e3) % 34.05/9.77 | (1937) all_0_60_60 = e3 % 34.05/9.77 | % 34.05/9.77 | Combining equations (1937,1510) yields a new equation: % 34.05/9.77 | (443) e4 = e3 % 34.05/9.77 | % 34.05/9.77 | Equations (443) can reduce 30 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (802) ~ (all_0_48_48 = e1) % 34.05/9.77 | (380) all_0_48_48 = e0 % 34.05/9.77 | % 34.05/9.77 | Equations (380) can reduce 292 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (611) ~ (all_0_50_50 = e4) % 34.05/9.77 | (1501) all_0_51_51 = e4 % 34.05/9.77 | % 34.05/9.77 | Combining equations (927,1501) yields a new equation: % 34.05/9.77 | (470) e4 = e2 % 34.05/9.77 | % 34.05/9.77 | Equations (470) can reduce 231 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (296) ~ (all_0_56_56 = e0) % 34.05/9.77 | (2310) all_0_57_57 = e0 | all_0_58_58 = e0 | all_0_60_60 = e0 % 34.05/9.77 | % 34.05/9.77 +-Applying beta-rule and splitting (2310), into two cases. % 34.05/9.77 |-Branch one: % 34.05/9.77 | (407) all_0_57_57 = e0 % 34.05/9.77 | % 34.05/9.77 | Equations (407) can reduce 2273 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (2273) ~ (all_0_57_57 = e0) % 34.05/9.77 | (2314) all_0_58_58 = e0 | all_0_60_60 = e0 % 34.05/9.77 | % 34.05/9.77 +-Applying beta-rule and splitting (2314), into two cases. % 34.05/9.77 |-Branch one: % 34.05/9.77 | (989) all_0_58_58 = e0 % 34.05/9.77 | % 34.05/9.77 | Combining equations (340,989) yields a new equation: % 34.05/9.77 | (403) e2 = e0 % 34.05/9.77 | % 34.05/9.77 | Simplifying 403 yields: % 34.05/9.77 | (385) e2 = e0 % 34.05/9.77 | % 34.05/9.77 | Equations (385) can reduce 51 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (332) ~ (all_0_58_58 = e0) % 34.05/9.77 | (1934) all_0_60_60 = e0 % 34.05/9.77 | % 34.05/9.77 | Equations (1934) can reduce 414 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (387) ~ (all_0_49_49 = e0) % 34.05/9.77 | (388) all_0_51_51 = e0 % 34.05/9.77 | % 34.05/9.77 | Combining equations (927,388) yields a new equation: % 34.05/9.77 | (403) e2 = e0 % 34.05/9.77 | % 34.05/9.77 | Simplifying 403 yields: % 34.05/9.77 | (385) e2 = e0 % 34.05/9.77 | % 34.05/9.77 | Equations (385) can reduce 51 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (434) ~ (all_0_43_43 = e3) % 34.05/9.77 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 34.05/9.77 | % 34.05/9.77 +-Applying beta-rule and splitting (450), into two cases. % 34.05/9.77 |-Branch one: % 34.05/9.77 | (451) all_0_46_46 = e3 % 34.05/9.77 | % 34.05/9.77 | Combining equations (451,252) yields a new equation: % 34.05/9.77 | (452) e3 = e2 % 34.05/9.77 | % 34.05/9.77 | Simplifying 452 yields: % 34.05/9.77 | (453) e3 = e2 % 34.05/9.77 | % 34.05/9.77 | Equations (453) can reduce 223 to: % 34.05/9.77 | (303) $false % 34.05/9.77 | % 34.05/9.77 |-The branch is then unsatisfiable % 34.05/9.77 |-Branch two: % 34.05/9.77 | (455) ~ (all_0_46_46 = e3) % 34.05/9.77 | (456) all_0_59_59 = e3 % 34.05/9.77 | % 34.05/9.77 | Equations (456) can reduce 249 to: % 34.05/9.77 | (434) ~ (all_0_43_43 = e3) % 34.05/9.77 | % 34.05/9.77 | Equations (456) can reduce 126 to: % 34.05/9.77 | (15) ~ (all_0_50_50 = e3) % 34.05/9.77 | % 34.05/9.77 | Equations (456) can reduce 42 to: % 34.05/9.77 | (526) ~ (all_0_56_56 = e3) % 34.05/9.77 | % 34.05/9.77 | Equations (456) can reduce 260 to: % 34.05/9.77 | (223) ~ (e3 = e2) % 34.05/9.77 | % 34.05/9.77 | From (456) and (33) follows: % 34.05/9.77 | (5473) op(e3, e1) = all_0_38_38 % 34.05/9.77 | % 34.05/9.77 | From (456) and (16) follows: % 34.05/9.78 | (10905) op(e3, e0) = all_0_37_37 % 34.05/9.78 | % 34.05/9.78 +-Applying beta-rule and splitting (200), into two cases. % 34.05/9.78 |-Branch one: % 34.05/9.78 | (1102) all_0_40_40 = e3 % 34.05/9.78 | % 34.05/9.78 | Equations (1102) can reduce 432 to: % 34.05/9.78 | (303) $false % 34.05/9.78 | % 34.05/9.78 |-The branch is then unsatisfiable % 34.05/9.78 |-Branch two: % 34.05/9.78 | (432) ~ (all_0_40_40 = e3) % 34.05/9.78 | (2138) all_0_41_41 = e3 | all_0_43_43 = e3 | all_0_44_44 = e3 % 34.05/9.78 | % 34.05/9.78 +-Applying beta-rule and splitting (237), into two cases. % 34.05/9.78 |-Branch one: % 34.05/9.78 | (431) all_0_41_41 = e3 % 34.05/9.78 | % 34.05/9.78 | Combining equations (945,431) yields a new equation: % 34.05/9.78 | (453) e3 = e2 % 34.05/9.78 | % 34.05/9.78 | Equations (453) can reduce 223 to: % 34.05/9.78 | (303) $false % 34.05/9.78 | % 34.05/9.78 |-The branch is then unsatisfiable % 34.05/9.78 |-Branch two: % 34.05/9.78 | (996) ~ (all_0_41_41 = e3) % 34.05/9.78 | (997) all_0_53_53 = e3 | all_0_57_57 = e3 % 34.05/9.78 | % 34.05/9.78 | Equations (945) can reduce 996 to: % 34.05/9.78 | (577) ~ (e3 = e2) % 34.05/9.78 | % 34.05/9.78 | Simplifying 577 yields: % 34.05/9.78 | (223) ~ (e3 = e2) % 34.05/9.78 | % 34.05/9.78 +-Applying beta-rule and splitting (2138), into two cases. % 34.05/9.78 |-Branch one: % 34.05/9.78 | (431) all_0_41_41 = e3 % 34.05/9.78 | % 34.05/9.78 | Combining equations (945,431) yields a new equation: % 34.05/9.78 | (453) e3 = e2 % 34.05/9.78 | % 34.05/9.78 | Equations (453) can reduce 223 to: % 34.05/9.78 | (303) $false % 34.05/9.78 | % 34.05/9.78 |-The branch is then unsatisfiable % 34.05/9.78 |-Branch two: % 34.05/9.78 | (996) ~ (all_0_41_41 = e3) % 34.05/9.78 | (5989) all_0_43_43 = e3 | all_0_44_44 = e3 % 34.05/9.78 | % 34.05/9.78 +-Applying beta-rule and splitting (5989), into two cases. % 34.05/9.78 |-Branch one: % 34.05/9.78 | (447) all_0_43_43 = e3 % 34.05/9.78 | % 34.05/9.78 | Equations (447) can reduce 434 to: % 34.05/9.78 | (303) $false % 34.05/9.78 | % 34.05/9.78 |-The branch is then unsatisfiable % 34.05/9.78 |-Branch two: % 34.05/9.78 | (434) ~ (all_0_43_43 = e3) % 34.05/9.78 | (2081) all_0_44_44 = e3 % 34.05/9.78 | % 34.05/9.78 | Equations (2081) can reduce 124 to: % 34.05/9.78 | (432) ~ (all_0_40_40 = e3) % 34.05/9.78 | % 34.05/9.78 | Equations (2081) can reduce 82 to: % 34.05/9.78 | (434) ~ (all_0_43_43 = e3) % 34.05/9.78 | % 34.05/9.78 | Equations (2081) can reduce 59 to: % 34.05/9.78 | (313) ~ (all_0_55_55 = e3) % 34.05/9.78 | % 34.05/9.78 | Simplifying 313 yields: % 34.05/9.78 | (314) ~ (all_0_55_55 = e3) % 34.05/9.78 | % 34.05/9.78 | Equations (2081) can reduce 165 to: % 34.05/9.78 | (315) ~ (all_0_60_60 = e3) % 34.05/9.78 | % 34.05/9.78 | Simplifying 315 yields: % 34.05/9.78 | (316) ~ (all_0_60_60 = e3) % 34.05/9.78 | % 34.05/9.78 | From (2081) and (128) follows: % 34.05/9.78 | (10831) op(e3, e0) = all_0_8_8 % 34.05/9.78 | % 34.05/9.78 +-Applying beta-rule and splitting (1006), into two cases. % 34.05/9.78 |-Branch one: % 34.05/9.78 | (994) all_0_53_53 = e3 % 34.05/9.78 | % 34.05/9.78 | Equations (994) can reduce 7 to: % 34.05/9.78 | (218) ~ (all_0_49_49 = e3) % 34.05/9.78 | % 34.05/9.78 | Equations (994) can reduce 131 to: % 34.05/9.78 | (313) ~ (all_0_55_55 = e3) % 34.05/9.78 | % 34.05/9.78 | Simplifying 313 yields: % 34.05/9.78 | (314) ~ (all_0_55_55 = e3) % 34.05/9.78 | % 34.05/9.78 | Equations (994) can reduce 251 to: % 34.05/9.78 | (2589) ~ (all_0_57_57 = e3) % 34.05/9.78 | % 34.05/9.78 | Simplifying 2589 yields: % 34.05/9.78 | (2590) ~ (all_0_57_57 = e3) % 34.05/9.78 | % 34.05/9.78 | Equations (994) can reduce 229 to: % 34.05/9.78 | (439) ~ (e4 = e3) % 34.05/9.78 | % 34.05/9.78 | Simplifying 439 yields: % 34.05/9.78 | (30) ~ (e4 = e3) % 34.05/9.78 | % 34.05/9.78 | From (994) and (242) follows: % 34.05/9.78 | (2592) op(e3, e3) = all_0_26_26 % 34.05/9.78 | % 34.05/9.78 | From (994) and (54) follows: % 34.05/9.78 | (2593) op(e3, e1) = all_0_25_25 % 34.05/9.78 | % 34.05/9.78 | From (994) and (224) follows: % 34.05/9.78 | (650) op(e1, e3) = e3 % 34.05/9.78 | % 34.05/9.78 +-Applying beta-rule and splitting (241), into two cases. % 34.05/9.78 |-Branch one: % 34.05/9.78 | (1096) all_0_44_44 = e4 % 34.05/9.78 | % 34.05/9.78 | Combining equations (2081,1096) yields a new equation: % 34.05/9.78 | (443) e4 = e3 % 34.05/9.78 | % 34.05/9.78 | Equations (443) can reduce 30 to: % 34.05/9.78 | (303) $false % 34.05/9.78 | % 34.05/9.78 |-The branch is then unsatisfiable % 34.05/9.78 |-Branch two: % 34.05/9.78 | (474) ~ (all_0_44_44 = e4) % 34.05/9.78 | (1500) all_0_51_51 = e4 | all_0_55_55 = e4 | all_0_60_60 = e4 % 34.05/9.78 | % 34.05/9.78 +-Applying beta-rule and splitting (1500), into two cases. % 34.05/9.78 |-Branch one: % 34.05/9.78 | (1501) all_0_51_51 = e4 % 34.05/9.78 | % 34.05/9.78 | Combining equations (927,1501) yields a new equation: % 34.05/9.78 | (470) e4 = e2 % 34.05/9.78 | % 34.05/9.78 | Equations (470) can reduce 231 to: % 34.05/9.78 | (303) $false % 34.05/9.78 | % 34.05/9.78 |-The branch is then unsatisfiable % 34.05/9.78 |-Branch two: % 34.05/9.78 | (1504) ~ (all_0_51_51 = e4) % 34.05/9.78 | (1505) all_0_55_55 = e4 | all_0_60_60 = e4 % 34.05/9.78 | % 34.05/9.78 +-Applying beta-rule and splitting (85), into two cases. % 34.05/9.78 |-Branch one: % 34.05/9.78 | (1070) all_0_52_52 = e1 % 34.05/9.78 | % 34.05/9.78 | Combining equations (980,1070) yields a new equation: % 34.05/9.78 | (584) e2 = e1 % 34.05/9.78 | % 34.05/9.78 | Simplifying 584 yields: % 34.05/9.78 | (585) e2 = e1 % 34.05/9.78 | % 34.05/9.78 | Equations (585) can reduce 144 to: % 34.05/9.78 | (303) $false % 34.05/9.78 | % 34.05/9.78 |-The branch is then unsatisfiable % 34.05/9.78 |-Branch two: % 34.05/9.78 | (502) ~ (all_0_52_52 = e1) % 34.05/9.78 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 34.05/9.78 | % 34.05/9.78 +-Applying beta-rule and splitting (1505), into two cases. % 34.05/9.78 |-Branch one: % 34.05/9.78 | (473) all_0_55_55 = e4 % 34.05/9.78 | % 34.05/9.78 | Equations (473) can reduce 492 to: % 34.05/9.78 | (303) $false % 34.05/9.78 | % 34.05/9.78 |-The branch is then unsatisfiable % 34.05/9.78 |-Branch two: % 34.05/9.78 | (492) ~ (all_0_55_55 = e4) % 34.05/9.78 | (1510) all_0_60_60 = e4 % 34.05/9.78 | % 34.05/9.78 | Combining equations (1510,6286) yields a new equation: % 34.05/9.78 | (17923) all_0_14_14 = e4 % 34.05/9.78 | % 34.05/9.78 | Equations (1510) can reduce 159 to: % 34.05/9.78 | (492) ~ (all_0_55_55 = e4) % 34.05/9.78 | % 34.05/9.78 | Equations (1510) can reduce 174 to: % 34.05/9.78 | (345) ~ (all_0_56_56 = e4) % 34.05/9.78 | % 34.05/9.78 | Equations (1510) can reduce 81 to: % 34.05/9.78 | (202) ~ (all_0_57_57 = e4) % 34.05/9.78 | % 34.05/9.78 | Equations (1510) can reduce 316 to: % 34.05/9.78 | (30) ~ (e4 = e3) % 34.05/9.78 | % 34.05/9.78 | Equations (1510) can reduce 414 to: % 34.05/9.78 | (4) ~ (e4 = e0) % 34.05/9.78 | % 34.05/9.78 | From (1510) and (170) follows: % 34.05/9.78 | (5006) op(e0, e0) = e4 % 34.05/9.78 | % 34.05/9.78 +-Applying beta-rule and splitting (1073), into two cases. % 34.05/9.78 |-Branch one: % 34.05/9.78 | (462) all_0_53_53 = e1 % 34.05/9.78 | % 34.05/9.78 | Combining equations (462,994) yields a new equation: % 34.05/9.78 | (601) e3 = e1 % 34.05/9.78 | % 34.05/9.78 | Equations (601) can reduce 136 to: % 34.05/9.78 | (303) $false % 34.05/9.78 | % 34.05/9.78 |-The branch is then unsatisfiable % 34.05/9.78 |-Branch two: % 34.05/9.78 | (509) ~ (all_0_53_53 = e1) % 34.05/9.78 | (530) all_0_55_55 = e1 % 34.05/9.78 | % 34.05/9.78 | Equations (530) can reduce 492 to: % 34.05/9.78 | (605) ~ (e4 = e1) % 34.05/9.78 | % 34.05/9.78 | Simplifying 605 yields: % 34.05/9.78 | (247) ~ (e4 = e1) % 34.05/9.78 | % 34.05/9.78 | Equations (530) can reduce 314 to: % 34.05/9.78 | (465) ~ (e3 = e1) % 34.05/9.78 | % 34.05/9.78 | Simplifying 465 yields: % 34.05/9.78 | (136) ~ (e3 = e1) % 34.05/9.78 | % 34.05/9.78 | From (530) and (155) follows: % 34.05/9.78 | (15517) op(e1, e1) = all_0_29_29 % 34.05/9.78 | % 34.05/9.78 | Instantiating formula (29) with e3, e3, all_0_26_26, e4 and discharging atoms op(e3, e3) = all_0_26_26, op(e3, e3) = e4, yields: % 34.05/9.78 | (2620) all_0_26_26 = e4 % 34.05/9.78 | % 34.05/9.78 | Instantiating formula (29) with e3, e1, all_0_25_25, e2 and discharging atoms op(e3, e1) = all_0_25_25, op(e3, e1) = e2, yields: % 34.05/9.78 | (2621) all_0_25_25 = e2 % 34.05/9.78 | % 34.05/9.78 | Instantiating formula (29) with e3, e1, all_0_38_38, all_0_25_25 and discharging atoms op(e3, e1) = all_0_25_25, op(e3, e1) = all_0_38_38, yields: % 34.05/9.78 | (5540) all_0_25_25 = all_0_38_38 % 34.05/9.78 | % 34.05/9.78 | Instantiating formula (29) with e3, e0, all_0_8_8, e0 and discharging atoms op(e3, e0) = all_0_8_8, op(e3, e0) = e0, yields: % 34.05/9.78 | (10944) all_0_8_8 = e0 % 34.05/9.78 | % 34.05/9.78 | Instantiating formula (29) with e3, e0, all_0_37_37, all_0_8_8 and discharging atoms op(e3, e0) = all_0_8_8, op(e3, e0) = all_0_37_37, yields: % 34.05/9.78 | (4410) all_0_8_8 = all_0_37_37 % 34.05/9.78 | % 34.05/9.78 | Instantiating formula (29) with e1, e1, all_0_29_29, e0 and discharging atoms op(e1, e1) = all_0_29_29, op(e1, e1) = e0, yields: % 34.05/9.78 | (15604) all_0_29_29 = e0 % 34.05/9.78 | % 34.05/9.78 | Combining equations (10944,4410) yields a new equation: % 34.05/9.78 | (10949) all_0_37_37 = e0 % 34.05/9.78 | % 34.05/9.78 | Combining equations (2621,5540) yields a new equation: % 34.05/9.78 | (5549) all_0_38_38 = e2 % 34.05/9.78 | % 34.05/9.78 | Combining equations (10949,4410) yields a new equation: % 34.05/9.78 | (10944) all_0_8_8 = e0 % 34.05/9.78 | % 34.05/9.78 | From (15604) and (15517) follows: % 34.05/9.78 | (12) op(e1, e1) = e0 % 34.05/9.78 | % 34.05/9.78 +-Applying beta-rule and splitting (100), into two cases. % 34.05/9.78 |-Branch one: % 34.05/9.78 | (618) all_0_43_43 = e1 % 34.05/9.78 | % 34.05/9.78 | Equations (618) can reduce 8 to: % 34.05/9.78 | (683) ~ (all_0_40_40 = e1) % 34.05/9.78 | % 34.05/9.78 | Equations (618) can reduce 238 to: % 34.05/9.79 | (855) ~ (all_0_50_50 = e1) % 34.05/9.79 | % 34.05/9.79 | Simplifying 855 yields: % 34.05/9.79 | (678) ~ (all_0_50_50 = e1) % 34.05/9.79 | % 34.05/9.79 | Equations (618) can reduce 434 to: % 34.05/9.79 | (465) ~ (e3 = e1) % 34.05/9.79 | % 34.05/9.79 | Simplifying 465 yields: % 34.05/9.79 | (136) ~ (e3 = e1) % 34.05/9.79 | % 34.05/9.79 | Equations (618) can reduce 253 to: % 34.05/9.79 | (565) ~ (e2 = e1) % 34.05/9.79 | % 34.05/9.79 | Simplifying 565 yields: % 34.05/9.79 | (144) ~ (e2 = e1) % 34.05/9.79 | % 34.05/9.79 | Equations (618) can reduce 117 to: % 34.05/9.79 | (134) ~ (e1 = e0) % 34.05/9.79 | % 34.05/9.79 | From (618) and (99) follows: % 34.05/9.79 | (10791) op(e1, e1) = all_0_6_6 % 34.05/9.79 | % 34.05/9.79 | From (618) and (19) follows: % 34.05/9.79 | (636) op(e4, e1) = e1 % 34.05/9.79 | % 34.05/9.79 +-Applying beta-rule and splitting (21), into two cases. % 34.05/9.79 |-Branch one: % 34.05/9.79 | (723) all_0_40_40 = e4 % 34.05/9.79 | % 34.05/9.79 | Equations (723) can reduce 57 to: % 34.05/9.79 | (2280) ~ (all_0_56_56 = e4) % 34.05/9.79 | % 34.05/9.79 | Simplifying 2280 yields: % 34.05/9.79 | (345) ~ (all_0_56_56 = e4) % 34.05/9.79 | % 34.05/9.79 | Equations (723) can reduce 432 to: % 34.05/9.79 | (30) ~ (e4 = e3) % 34.05/9.79 | % 34.05/9.79 | Equations (723) can reduce 683 to: % 34.05/9.79 | (247) ~ (e4 = e1) % 34.05/9.79 | % 34.05/9.79 +-Applying beta-rule and splitting (139), into two cases. % 34.05/9.79 |-Branch one: % 34.05/9.79 | (614) all_0_43_43 = e4 % 34.05/9.79 | % 34.05/9.79 | Combining equations (618,614) yields a new equation: % 34.05/9.79 | (541) e4 = e1 % 34.05/9.79 | % 34.05/9.79 | Equations (541) can reduce 247 to: % 34.05/9.79 | (303) $false % 34.05/9.79 | % 34.05/9.79 |-The branch is then unsatisfiable % 34.05/9.79 |-Branch two: % 34.05/9.79 | (712) ~ (all_0_43_43 = e4) % 34.05/9.79 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 34.05/9.79 | % 34.05/9.79 +-Applying beta-rule and splitting (713), into two cases. % 34.05/9.79 |-Branch one: % 34.05/9.79 | (714) all_0_50_50 = e4 % 34.05/9.79 | % 34.05/9.79 | Combining equations (714,13982) yields a new equation: % 34.05/9.79 | (17972) all_0_23_23 = e4 % 34.05/9.79 | % 34.05/9.79 | Combining equations (714,268) yields a new equation: % 34.05/9.79 | (10794) all_0_12_12 = e4 % 34.05/9.79 | % 34.05/9.79 | Equations (714) can reduce 37 to: % 34.05/9.79 | (215) ~ (all_0_49_49 = e4) % 34.05/9.79 | % 34.05/9.79 | Equations (714) can reduce 15 to: % 34.05/9.79 | (30) ~ (e4 = e3) % 34.05/9.79 | % 34.05/9.79 | Equations (714) can reduce 258 to: % 34.05/9.79 | (231) ~ (e4 = e2) % 34.05/9.79 | % 34.05/9.79 | Equations (714) can reduce 678 to: % 34.05/9.79 | (247) ~ (e4 = e1) % 34.05/9.79 | % 34.05/9.79 | From (714) and (110) follows: % 34.05/9.79 | (6028) op(e4, e1) = all_0_20_20 % 34.05/9.79 | % 34.05/9.79 | Instantiating formula (29) with e4, e1, e1, all_0_20_20 and discharging atoms op(e4, e1) = all_0_20_20, op(e4, e1) = e1, yields: % 34.05/9.79 | (10939) all_0_20_20 = e1 % 34.05/9.79 | % 34.05/9.79 | Instantiating formula (29) with e1, e1, all_0_6_6, e0 and discharging atoms op(e1, e1) = all_0_6_6, op(e1, e1) = e0, yields: % 34.05/9.79 | (10947) all_0_6_6 = e0 % 34.05/9.79 | % 34.05/9.79 +-Applying beta-rule and splitting (67), into two cases. % 34.05/9.79 |-Branch one: % 34.05/9.79 | (380) all_0_48_48 = e0 % 34.05/9.79 | % 34.05/9.79 | Equations (380) can reduce 58 to: % 34.05/9.79 | (8746) ~ (all_0_49_49 = e0) % 34.05/9.79 | % 34.05/9.79 | Simplifying 8746 yields: % 34.05/9.79 | (387) ~ (all_0_49_49 = e0) % 34.05/9.79 | % 34.05/9.79 | Equations (380) can reduce 2 to: % 34.05/9.79 | (295) ~ (all_0_56_56 = e0) % 34.05/9.79 | % 34.05/9.79 | Simplifying 295 yields: % 34.05/9.79 | (296) ~ (all_0_56_56 = e0) % 34.05/9.79 | % 34.05/9.79 +-Applying beta-rule and splitting (228), into two cases. % 34.05/9.79 |-Branch one: % 34.05/9.79 | (748) all_0_48_48 = e1 % 34.05/9.79 | % 34.05/9.79 | Combining equations (380,748) yields a new equation: % 34.05/9.79 | (590) e1 = e0 % 34.05/9.79 | % 34.05/9.79 | Equations (590) can reduce 134 to: % 34.05/9.79 | (303) $false % 34.05/9.79 | % 34.05/9.79 |-The branch is then unsatisfiable % 34.05/9.79 |-Branch two: % 34.05/9.79 | (802) ~ (all_0_48_48 = e1) % 34.05/9.79 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 34.05/9.79 | % 34.05/9.79 +-Applying beta-rule and splitting (141), into two cases. % 34.05/9.79 |-Branch one: % 34.05/9.79 | (580) all_0_56_56 = e2 % 34.05/9.79 | % 34.05/9.79 | Equations (580) can reduce 594 to: % 34.05/9.79 | (303) $false % 34.05/9.79 | % 34.05/9.79 |-The branch is then unsatisfiable % 34.05/9.79 |-Branch two: % 34.05/9.79 | (594) ~ (all_0_56_56 = e2) % 34.05/9.79 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 34.05/9.79 | % 34.05/9.79 +-Applying beta-rule and splitting (979), into two cases. % 34.05/9.79 |-Branch one: % 34.05/9.79 | (877) all_0_56_56 = e4 % 34.05/9.79 | % 34.05/9.79 | Equations (877) can reduce 345 to: % 34.05/9.79 | (303) $false % 34.05/9.79 | % 34.05/9.79 |-The branch is then unsatisfiable % 34.05/9.79 |-Branch two: % 34.05/9.79 | (345) ~ (all_0_56_56 = e4) % 34.05/9.79 | (2325) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 34.05/9.79 | % 34.05/9.79 +-Applying beta-rule and splitting (2325), into two cases. % 34.05/9.79 |-Branch one: % 34.05/9.79 | (583) all_0_56_56 = e1 % 34.05/9.79 | % 34.05/9.79 | Equations (583) can reduce 594 to: % 34.05/9.79 | (565) ~ (e2 = e1) % 34.05/9.79 | % 34.05/9.79 | Simplifying 565 yields: % 34.05/9.79 | (144) ~ (e2 = e1) % 34.05/9.79 | % 34.05/9.79 +-Applying beta-rule and splitting (56), into two cases. % 34.05/9.79 |-Branch one: % 34.05/9.79 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 34.05/9.79 | % 34.05/9.79 +-Applying beta-rule and splitting (480), into two cases. % 34.05/9.79 |-Branch one: % 34.05/9.79 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 34.05/9.79 | % 34.05/9.79 +-Applying beta-rule and splitting (481), into two cases. % 34.05/9.79 |-Branch one: % 34.05/9.79 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 34.05/9.79 | % 34.05/9.79 +-Applying beta-rule and splitting (482), into two cases. % 34.05/9.79 |-Branch one: % 34.05/9.79 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 34.05/9.79 | % 34.05/9.79 | Applying alpha-rule on (483) yields: % 34.05/9.79 | (484) ~ (unit = e4) % 34.05/9.79 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 34.05/9.79 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 34.05/9.79 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 34.05/9.79 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 34.05/9.79 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 34.05/9.79 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 34.05/9.79 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 34.05/9.79 | (492) ~ (all_0_55_55 = e4) % 34.05/9.79 | (493) all_0_45_45 = e3 % 34.05/9.79 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 34.05/9.79 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 34.05/9.79 | % 34.05/9.79 +-Applying beta-rule and splitting (401), into two cases. % 34.05/9.79 |-Branch one: % 34.05/9.79 | (384) all_0_49_49 = e0 % 34.05/9.79 | % 34.05/9.79 | Equations (384) can reduce 387 to: % 34.05/9.79 | (303) $false % 34.05/9.79 | % 34.05/9.79 |-The branch is then unsatisfiable % 34.05/9.79 |-Branch two: % 34.05/9.79 | (387) ~ (all_0_49_49 = e0) % 34.05/9.79 | (407) all_0_57_57 = e0 % 34.05/9.79 | % 34.05/9.79 | Equations (407) can reduce 226 to: % 34.05/9.79 | (387) ~ (all_0_49_49 = e0) % 34.05/9.79 | % 34.05/9.79 +-Applying beta-rule and splitting (221), into two cases. % 34.05/9.79 |-Branch one: % 34.05/9.79 | (696) all_0_41_41 = e1 % 34.05/9.79 | % 34.05/9.79 | Combining equations (945,696) yields a new equation: % 34.05/9.79 | (584) e2 = e1 % 34.05/9.79 | % 34.05/9.79 | Simplifying 584 yields: % 34.05/9.79 | (585) e2 = e1 % 34.05/9.79 | % 34.05/9.79 | Equations (585) can reduce 144 to: % 34.05/9.79 | (303) $false % 34.05/9.79 | % 34.05/9.79 |-The branch is then unsatisfiable % 34.05/9.79 |-Branch two: % 34.05/9.79 | (699) ~ (all_0_41_41 = e1) % 34.05/9.79 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 34.05/9.79 | % 34.05/9.79 +-Applying beta-rule and splitting (803), into two cases. % 34.05/9.79 |-Branch one: % 34.05/9.79 | (1580) all_0_49_49 = e1 % 34.05/9.79 | % 34.05/9.79 | Equations (1580) can reduce 387 to: % 34.05/9.79 | (134) ~ (e1 = e0) % 34.05/9.79 | % 34.05/9.79 +-Applying beta-rule and splitting (488), into two cases. % 34.05/9.79 |-Branch one: % 34.05/9.79 | (611) ~ (all_0_50_50 = e4) % 34.05/9.79 | % 34.05/9.79 | Equations (714) can reduce 611 to: % 34.05/9.79 | (303) $false % 34.05/9.79 | % 34.05/9.79 |-The branch is then unsatisfiable % 34.05/9.79 |-Branch two: % 34.05/9.79 | (714) all_0_50_50 = e4 % 34.05/9.79 | (748) all_0_48_48 = e1 % 34.05/9.79 | % 34.05/9.79 | Combining equations (380,748) yields a new equation: % 34.05/9.79 | (590) e1 = e0 % 34.05/9.79 | % 34.05/9.79 | Equations (590) can reduce 134 to: % 34.05/9.79 | (303) $false % 34.05/9.79 | % 34.05/9.79 |-The branch is then unsatisfiable % 34.05/9.79 |-Branch two: % 34.05/9.79 | (506) ~ (all_0_49_49 = e1) % 34.05/9.79 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 34.05/9.79 | % 34.05/9.79 +-Applying beta-rule and splitting (2154), into two cases. % 34.05/9.79 |-Branch one: % 34.05/9.79 | (1580) all_0_49_49 = e1 % 34.05/9.79 | % 34.05/9.79 | Equations (1580) can reduce 506 to: % 34.05/9.79 | (303) $false % 34.05/9.79 | % 34.05/9.79 |-The branch is then unsatisfiable % 34.05/9.79 |-Branch two: % 34.05/9.79 | (506) ~ (all_0_49_49 = e1) % 34.05/9.79 | (2676) all_0_53_53 = e1 | all_0_57_57 = e1 % 34.05/9.79 | % 34.05/9.79 +-Applying beta-rule and splitting (2168), into two cases. % 34.05/9.79 |-Branch one: % 34.05/9.79 | (1580) all_0_49_49 = e1 % 34.05/9.79 | % 34.05/9.79 | Equations (1580) can reduce 506 to: % 34.05/9.79 | (303) $false % 34.05/9.79 | % 34.05/9.79 |-The branch is then unsatisfiable % 34.05/9.79 |-Branch two: % 34.05/9.79 | (506) ~ (all_0_49_49 = e1) % 34.05/9.79 | (384) all_0_49_49 = e0 % 34.05/9.79 | % 34.05/9.79 | Equations (384) can reduce 387 to: % 34.05/9.79 | (303) $false % 34.05/9.79 | % 34.05/9.79 |-The branch is then unsatisfiable % 34.05/9.79 |-Branch two: % 34.05/9.79 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 34.05/9.79 | % 34.05/9.79 | Applying alpha-rule on (499) yields: % 34.05/9.79 | (500) ~ (all_0_51_51 = e1) % 34.05/9.79 | (501) ~ (all_0_60_60 = e1) % 34.05/9.79 | (502) ~ (all_0_52_52 = e1) % 34.05/9.79 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 34.05/9.79 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 34.05/9.79 | (252) all_0_46_46 = e2 % 34.05/9.79 | (506) ~ (all_0_49_49 = e1) % 34.05/9.79 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 34.05/9.79 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 34.05/9.79 | (509) ~ (all_0_53_53 = e1) % 34.05/9.79 | (510) ~ (unit = e1) % 34.05/9.79 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 34.05/9.79 | (512) ~ (all_0_44_44 = e1) % 34.05/9.79 | % 34.05/9.79 +-Applying beta-rule and splitting (401), into two cases. % 34.05/9.79 |-Branch one: % 34.05/9.79 | (384) all_0_49_49 = e0 % 34.05/9.79 | % 34.05/9.79 | Equations (384) can reduce 387 to: % 34.05/9.79 | (303) $false % 34.05/9.79 | % 34.05/9.79 |-The branch is then unsatisfiable % 34.05/9.79 |-Branch two: % 34.05/9.79 | (387) ~ (all_0_49_49 = e0) % 34.05/9.79 | (407) all_0_57_57 = e0 % 34.05/9.79 | % 34.05/9.79 | Equations (407) can reduce 226 to: % 34.05/9.79 | (387) ~ (all_0_49_49 = e0) % 34.05/9.79 | % 34.05/9.79 +-Applying beta-rule and splitting (803), into two cases. % 34.05/9.79 |-Branch one: % 34.05/9.79 | (1580) all_0_49_49 = e1 % 34.05/9.79 | % 34.05/9.79 | Equations (1580) can reduce 506 to: % 34.05/9.79 | (303) $false % 34.05/9.79 | % 34.05/9.79 |-The branch is then unsatisfiable % 34.05/9.79 |-Branch two: % 34.05/9.79 | (506) ~ (all_0_49_49 = e1) % 34.05/9.79 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 34.05/9.79 | % 34.05/9.79 +-Applying beta-rule and splitting (2168), into two cases. % 34.05/9.79 |-Branch one: % 34.05/9.79 | (1580) all_0_49_49 = e1 % 34.05/9.79 | % 34.05/9.79 | Equations (1580) can reduce 506 to: % 34.05/9.79 | (303) $false % 34.05/9.79 | % 34.05/9.79 |-The branch is then unsatisfiable % 34.05/9.79 |-Branch two: % 34.05/9.79 | (506) ~ (all_0_49_49 = e1) % 34.05/9.79 | (384) all_0_49_49 = e0 % 34.05/9.79 | % 34.05/9.79 | Equations (384) can reduce 387 to: % 34.05/9.79 | (303) $false % 34.05/9.79 | % 34.05/9.79 |-The branch is then unsatisfiable % 34.05/9.79 |-Branch two: % 34.05/9.79 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 34.05/9.79 | % 34.05/9.79 | Applying alpha-rule on (514) yields: % 34.05/9.79 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 34.05/9.79 | (516) ~ (all_0_47_47 = e3) % 34.05/9.79 | (314) ~ (all_0_55_55 = e3) % 34.05/9.79 | (368) all_0_49_49 = e2 % 34.05/9.79 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 34.05/9.79 | (520) ~ (unit = e3) % 34.05/9.79 | (521) ~ (all_0_52_52 = e3) % 34.05/9.79 | (455) ~ (all_0_46_46 = e3) % 34.05/9.79 | (432) ~ (all_0_40_40 = e3) % 34.05/9.79 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 34.05/9.79 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 34.05/9.79 | (526) ~ (all_0_56_56 = e3) % 34.05/9.79 | % 34.05/9.79 | Equations (368) can reduce 2167 to: % 34.05/9.79 | (303) $false % 34.05/9.79 | % 34.05/9.79 |-The branch is then unsatisfiable % 34.05/9.79 |-Branch two: % 34.05/9.79 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 34.05/9.79 | % 34.05/9.79 | Applying alpha-rule on (528) yields: % 34.05/9.79 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 34.05/9.79 | (530) all_0_55_55 = e1 % 34.05/9.79 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 34.05/9.79 | (387) ~ (all_0_49_49 = e0) % 34.05/9.79 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 34.05/9.79 | (534) ~ (all_0_45_45 = e0) % 34.05/9.79 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 34.05/9.80 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 34.05/9.80 | (537) ~ (unit = e0) % 34.05/9.80 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 34.05/9.80 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 34.05/9.80 | % 34.05/9.80 +-Applying beta-rule and splitting (401), into two cases. % 34.05/9.80 |-Branch one: % 34.05/9.80 | (384) all_0_49_49 = e0 % 34.05/9.80 | % 34.05/9.80 | Equations (384) can reduce 387 to: % 34.05/9.80 | (303) $false % 34.05/9.80 | % 34.05/9.80 |-The branch is then unsatisfiable % 34.05/9.80 |-Branch two: % 34.05/9.80 | (387) ~ (all_0_49_49 = e0) % 34.05/9.80 | (407) all_0_57_57 = e0 % 34.05/9.80 | % 34.05/9.80 +-Applying beta-rule and splitting (529), into two cases. % 34.05/9.80 |-Branch one: % 34.05/9.80 | (2273) ~ (all_0_57_57 = e0) % 34.05/9.80 | % 34.05/9.80 | Equations (407) can reduce 2273 to: % 34.05/9.80 | (303) $false % 34.05/9.80 | % 34.05/9.80 |-The branch is then unsatisfiable % 34.05/9.80 |-Branch two: % 34.05/9.80 | (407) all_0_57_57 = e0 % 34.05/9.80 | (1937) all_0_60_60 = e3 % 34.05/9.80 | % 34.05/9.80 | Combining equations (1510,1937) yields a new equation: % 34.05/9.80 | (718) e4 = e3 % 34.05/9.80 | % 34.05/9.80 | Simplifying 718 yields: % 34.05/9.80 | (443) e4 = e3 % 34.05/9.80 | % 34.05/9.80 | Equations (443) can reduce 30 to: % 34.05/9.80 | (303) $false % 34.05/9.80 | % 34.05/9.80 |-The branch is then unsatisfiable % 34.05/9.80 |-Branch two: % 34.05/9.80 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 34.05/9.80 | % 34.05/9.80 | Applying alpha-rule on (543) yields: % 34.05/9.80 | (544) ~ (all_0_48_48 = e2) % 34.05/9.80 | (369) ~ (all_0_41_41 = e2) % 34.05/9.80 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 34.05/9.80 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 34.05/9.80 | (253) ~ (all_0_43_43 = e2) % 34.05/9.80 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 34.05/9.80 | (276) ~ (all_0_55_55 = e2) % 34.05/9.80 | (260) ~ (all_0_59_59 = e2) % 34.05/9.80 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 34.05/9.80 | (274) ~ (all_0_53_53 = e2) % 34.05/9.80 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 34.05/9.80 | (373) ~ (all_0_51_51 = e2) % 34.05/9.80 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 34.05/9.80 | (256) ~ (all_0_47_47 = e2) % 34.05/9.80 | (377) ~ (all_0_57_57 = e2) % 34.05/9.80 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 34.05/9.80 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 34.05/9.80 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 34.05/9.80 | (258) ~ (all_0_50_50 = e2) % 34.05/9.80 | (254) ~ (all_0_45_45 = e2) % 34.05/9.80 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 34.05/9.80 | % 34.05/9.80 | Equations (927) can reduce 373 to: % 34.05/9.80 | (303) $false % 34.05/9.80 | % 34.05/9.80 |-The branch is then unsatisfiable % 34.05/9.80 |-Branch two: % 34.05/9.80 | (587) ~ (all_0_56_56 = e1) % 34.05/9.80 | (2329) all_0_56_56 = e3 | all_0_56_56 = e0 % 34.05/9.80 | % 34.05/9.80 +-Applying beta-rule and splitting (2329), into two cases. % 34.05/9.80 |-Branch one: % 34.05/9.80 | (2307) all_0_56_56 = e0 % 34.05/9.80 | % 34.05/9.80 | Equations (2307) can reduce 296 to: % 34.05/9.80 | (303) $false % 34.05/9.80 | % 34.05/9.80 |-The branch is then unsatisfiable % 34.05/9.80 |-Branch two: % 34.05/9.80 | (296) ~ (all_0_56_56 = e0) % 34.05/9.80 | (1111) all_0_56_56 = e3 % 34.05/9.80 | % 34.05/9.80 | Equations (1111) can reduce 526 to: % 34.05/9.80 | (303) $false % 34.05/9.80 | % 34.05/9.80 |-The branch is then unsatisfiable % 34.05/9.80 |-Branch two: % 34.05/9.80 | (292) ~ (all_0_48_48 = e0) % 34.05/9.80 | (383) all_0_49_49 = e0 | all_0_51_51 = e0 % 34.05/9.80 | % 34.05/9.80 +-Applying beta-rule and splitting (212), into two cases. % 34.05/9.80 |-Branch one: % 34.05/9.80 | (727) all_0_48_48 = e2 % 34.05/9.80 | % 34.05/9.80 | Equations (727) can reduce 544 to: % 34.05/9.80 | (303) $false % 34.05/9.80 | % 34.05/9.80 |-The branch is then unsatisfiable % 34.05/9.80 |-Branch two: % 34.05/9.80 | (544) ~ (all_0_48_48 = e2) % 34.05/9.80 | (730) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 34.05/9.80 | % 34.05/9.80 +-Applying beta-rule and splitting (383), into two cases. % 34.05/9.80 |-Branch one: % 34.05/9.80 | (384) all_0_49_49 = e0 % 34.05/9.80 | % 34.05/9.80 | Combining equations (384,8198) yields a new equation: % 34.05/9.80 | (5541) all_0_2_2 = e0 % 34.05/9.80 | % 34.05/9.80 | Equations (384) can reduce 226 to: % 34.05/9.80 | (2272) ~ (all_0_57_57 = e0) % 34.05/9.80 | % 34.05/9.80 | Simplifying 2272 yields: % 34.05/9.80 | (2273) ~ (all_0_57_57 = e0) % 34.05/9.80 | % 34.05/9.80 | Equations (384) can reduce 215 to: % 34.05/9.80 | (297) ~ (e4 = e0) % 34.05/9.80 | % 34.05/9.80 | Simplifying 297 yields: % 34.05/9.80 | (4) ~ (e4 = e0) % 34.05/9.80 | % 34.05/9.80 | Equations (384) can reduce 218 to: % 34.05/9.80 | (333) ~ (e3 = e0) % 34.05/9.80 | % 34.05/9.80 | Simplifying 333 yields: % 34.05/9.80 | (70) ~ (e3 = e0) % 34.05/9.80 | % 34.05/9.80 | Equations (384) can reduce 2167 to: % 34.05/9.80 | (335) ~ (e2 = e0) % 34.05/9.80 | % 34.05/9.80 | Simplifying 335 yields: % 34.05/9.80 | (51) ~ (e2 = e0) % 34.05/9.80 | % 34.05/9.80 | From (384) and (65) follows: % 34.05/9.80 | (2548) op(e0, e3) = all_0_18_18 % 34.05/9.80 | % 34.05/9.80 +-Applying beta-rule and splitting (250), into two cases. % 34.05/9.80 |-Branch one: % 34.05/9.80 | (897) all_0_57_57 = e2 % 34.05/9.80 | % 34.05/9.80 | Equations (897) can reduce 377 to: % 34.05/9.80 | (303) $false % 34.05/9.80 | % 34.05/9.80 |-The branch is then unsatisfiable % 34.05/9.80 |-Branch two: % 34.05/9.80 | (377) ~ (all_0_57_57 = e2) % 34.05/9.80 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 34.05/9.80 | % 34.05/9.80 +-Applying beta-rule and splitting (228), into two cases. % 34.05/9.80 |-Branch one: % 34.05/9.80 | (748) all_0_48_48 = e1 % 34.05/9.80 | % 34.05/9.80 | Equations (748) can reduce 2 to: % 34.05/9.80 | (1799) ~ (all_0_56_56 = e1) % 34.05/9.80 | % 34.05/9.80 | Simplifying 1799 yields: % 34.05/9.80 | (587) ~ (all_0_56_56 = e1) % 34.05/9.80 | % 34.05/9.80 | Equations (748) can reduce 34 to: % 34.05/9.80 | (465) ~ (e3 = e1) % 34.05/9.80 | % 34.05/9.80 | Simplifying 465 yields: % 34.05/9.80 | (136) ~ (e3 = e1) % 34.05/9.80 | % 34.05/9.80 | Equations (748) can reduce 544 to: % 34.05/9.80 | (565) ~ (e2 = e1) % 34.05/9.80 | % 34.05/9.80 | Simplifying 565 yields: % 34.05/9.80 | (144) ~ (e2 = e1) % 34.05/9.80 | % 34.05/9.80 | From (748) and (103) follows: % 34.05/9.80 | (2612) op(e1, e2) = all_0_15_15 % 34.05/9.80 | % 34.05/9.80 +-Applying beta-rule and splitting (245), into two cases. % 34.05/9.80 |-Branch one: % 34.05/9.80 | (583) all_0_56_56 = e1 % 34.05/9.80 | % 34.05/9.80 | Equations (583) can reduce 587 to: % 34.05/9.80 | (303) $false % 34.05/9.80 | % 34.05/9.80 |-The branch is then unsatisfiable % 34.05/9.80 |-Branch two: % 34.05/9.80 | (587) ~ (all_0_56_56 = e1) % 34.05/9.80 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 34.05/9.80 | % 34.05/9.80 +-Applying beta-rule and splitting (588), into two cases. % 34.05/9.80 |-Branch one: % 34.05/9.80 | (589) all_0_57_57 = e1 % 34.05/9.80 | % 34.05/9.80 | Equations (589) can reduce 172 to: % 34.05/9.80 | (587) ~ (all_0_56_56 = e1) % 34.05/9.80 | % 34.05/9.80 | Equations (589) can reduce 202 to: % 34.05/9.80 | (605) ~ (e4 = e1) % 34.05/9.80 | % 34.05/9.80 | Simplifying 605 yields: % 34.05/9.80 | (247) ~ (e4 = e1) % 34.05/9.80 | % 34.05/9.80 | Equations (589) can reduce 377 to: % 34.05/9.80 | (565) ~ (e2 = e1) % 34.05/9.80 | % 34.05/9.80 | Simplifying 565 yields: % 34.05/9.80 | (144) ~ (e2 = e1) % 34.05/9.80 | % 34.05/9.80 | From (589) and (35) follows: % 34.05/9.80 | (3953) op(e1, e3) = all_0_34_34 % 34.05/9.80 | % 34.05/9.80 | From (589) and (5) follows: % 34.05/9.80 | (18183) op(e0, e3) = e1 % 34.05/9.80 | % 34.05/9.80 +-Applying beta-rule and splitting (141), into two cases. % 34.05/9.80 |-Branch one: % 34.05/9.80 | (580) all_0_56_56 = e2 % 34.05/9.80 | % 34.05/9.80 | Equations (580) can reduce 594 to: % 34.05/9.80 | (303) $false % 34.05/9.80 | % 34.05/9.80 |-The branch is then unsatisfiable % 34.05/9.80 |-Branch two: % 34.05/9.80 | (594) ~ (all_0_56_56 = e2) % 34.05/9.80 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 34.05/9.80 | % 34.05/9.80 +-Applying beta-rule and splitting (41), into two cases. % 34.05/9.80 |-Branch one: % 34.05/9.80 | (2834) all_0_40_40 = e0 % 34.05/9.80 | % 34.05/9.80 | Combining equations (723,2834) yields a new equation: % 34.05/9.80 | (1573) e4 = e0 % 34.05/9.80 | % 34.05/9.80 | Simplifying 1573 yields: % 34.05/9.80 | (654) e4 = e0 % 34.05/9.80 | % 34.05/9.80 | Equations (654) can reduce 4 to: % 34.05/9.80 | (303) $false % 34.05/9.80 | % 34.05/9.80 |-The branch is then unsatisfiable % 34.05/9.80 |-Branch two: % 34.05/9.80 | (288) ~ (all_0_40_40 = e0) % 34.05/9.80 | (6377) all_0_45_45 = e0 | all_0_48_48 = e0 | all_0_56_56 = e0 % 34.05/9.80 | % 34.05/9.80 +-Applying beta-rule and splitting (50), into two cases. % 34.05/9.80 |-Branch one: % 34.05/9.80 | (2307) all_0_56_56 = e0 % 34.05/9.80 | % 34.05/9.80 | Equations (2307) can reduce 345 to: % 34.05/9.80 | (297) ~ (e4 = e0) % 34.05/9.80 | % 34.05/9.80 | Simplifying 297 yields: % 34.05/9.80 | (4) ~ (e4 = e0) % 34.05/9.80 | % 34.05/9.80 | Equations (2307) can reduce 526 to: % 34.05/9.80 | (333) ~ (e3 = e0) % 34.05/9.80 | % 34.05/9.80 | Simplifying 333 yields: % 34.05/9.80 | (70) ~ (e3 = e0) % 34.05/9.80 | % 34.05/9.80 | Equations (2307) can reduce 594 to: % 34.05/9.80 | (335) ~ (e2 = e0) % 34.05/9.80 | % 34.05/9.80 | Simplifying 335 yields: % 34.05/9.80 | (51) ~ (e2 = e0) % 34.05/9.80 | % 34.05/9.80 | Equations (2307) can reduce 587 to: % 34.05/9.80 | (661) ~ (e1 = e0) % 34.05/9.80 | % 34.05/9.80 | Simplifying 661 yields: % 34.05/9.80 | (134) ~ (e1 = e0) % 34.05/9.80 | % 34.05/9.80 | From (2307) and (125) follows: % 34.05/9.80 | (8998) op(e0, e0) = all_0_31_31 % 34.05/9.80 | % 34.05/9.80 | Instantiating formula (29) with e1, e3, all_0_34_34, e3 and discharging atoms op(e1, e3) = all_0_34_34, op(e1, e3) = e3, yields: % 34.05/9.80 | (3957) all_0_34_34 = e3 % 34.05/9.80 | % 34.05/9.80 | Instantiating formula (29) with e1, e2, all_0_15_15, e4 and discharging atoms op(e1, e2) = all_0_15_15, op(e1, e2) = e4, yields: % 34.05/9.80 | (6401) all_0_15_15 = e4 % 34.05/9.80 | % 34.05/9.80 | Instantiating formula (29) with e0, e3, e1, all_0_18_18 and discharging atoms op(e0, e3) = all_0_18_18, op(e0, e3) = e1, yields: % 34.05/9.80 | (18206) all_0_18_18 = e1 % 34.05/9.80 | % 34.05/9.80 | Instantiating formula (29) with e0, e0, all_0_31_31, e4 and discharging atoms op(e0, e0) = all_0_31_31, op(e0, e0) = e4, yields: % 34.05/9.80 | (18207) all_0_31_31 = e4 % 34.05/9.80 | % 34.05/9.80 +-Applying beta-rule and splitting (181), into two cases. % 34.05/9.80 |-Branch one: % 34.05/9.80 | (3497) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_51_51 = all_0_58_58)) % 34.05/9.80 | % 34.05/9.80 +-Applying beta-rule and splitting (3497), into two cases. % 34.05/9.80 |-Branch one: % 34.05/9.80 | (3498) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57)) % 34.05/9.80 | % 34.05/9.80 +-Applying beta-rule and splitting (3498), into two cases. % 34.05/9.80 |-Branch one: % 34.05/9.80 | (3499) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) % 34.05/9.80 | % 34.05/9.80 +-Applying beta-rule and splitting (3499), into two cases. % 34.05/9.80 |-Branch one: % 34.05/9.81 | (3500) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) % 34.05/9.81 | % 34.05/9.81 +-Applying beta-rule and splitting (3500), into two cases. % 34.05/9.81 |-Branch one: % 34.05/9.81 | (3501) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) % 34.05/9.81 | % 34.05/9.81 +-Applying beta-rule and splitting (3501), into two cases. % 34.05/9.81 |-Branch one: % 34.05/9.81 | (3502) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) % 34.05/9.81 | % 34.05/9.81 +-Applying beta-rule and splitting (3502), into two cases. % 34.05/9.81 |-Branch one: % 34.05/9.81 | (3503) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) % 34.05/9.81 | % 34.05/9.81 +-Applying beta-rule and splitting (3503), into two cases. % 34.05/9.81 |-Branch one: % 34.05/9.81 | (3504) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) % 34.05/9.81 | % 34.05/9.81 +-Applying beta-rule and splitting (3504), into two cases. % 34.05/9.81 |-Branch one: % 34.05/9.81 | (3505) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) % 34.05/9.81 | % 34.05/9.81 +-Applying beta-rule and splitting (3505), into two cases. % 34.05/9.81 |-Branch one: % 34.05/9.81 | (3506) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) % 34.05/9.81 | % 34.05/9.81 +-Applying beta-rule and splitting (3506), into two cases. % 34.05/9.81 |-Branch one: % 34.05/9.81 | (3507) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) % 34.05/9.81 | % 34.05/9.81 +-Applying beta-rule and splitting (3507), into two cases. % 34.05/9.81 |-Branch one: % 34.05/9.81 | (3508) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) % 34.05/9.81 | % 34.05/9.81 +-Applying beta-rule and splitting (3508), into two cases. % 34.05/9.81 |-Branch one: % 34.05/9.81 | (3509) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) % 34.05/9.81 | % 34.05/9.81 +-Applying beta-rule and splitting (3509), into two cases. % 34.05/9.81 |-Branch one: % 34.05/9.81 | (3510) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) % 34.05/9.81 | % 34.05/9.81 +-Applying beta-rule and splitting (3510), into two cases. % 34.05/9.81 |-Branch one: % 34.05/9.81 | (3511) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) % 34.05/9.81 | % 34.05/9.81 +-Applying beta-rule and splitting (3511), into two cases. % 34.05/9.81 |-Branch one: % 34.05/9.81 | (3512) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) % 34.05/9.81 | % 34.05/9.81 +-Applying beta-rule and splitting (3512), into two cases. % 34.05/9.81 |-Branch one: % 34.05/9.81 | (3513) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) % 34.05/9.81 | % 34.05/9.81 +-Applying beta-rule and splitting (3513), into two cases. % 34.05/9.81 |-Branch one: % 34.05/9.81 | (3514) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45) % 34.05/9.81 | % 34.05/9.81 | Applying alpha-rule on (3514) yields: % 34.05/9.81 | (3515) all_0_2_2 = e4 % 34.05/9.81 | (3516) ~ (all_0_1_1 = e3) % 34.05/9.81 | (3517) ~ (all_0_41_41 = all_0_45_45) % 34.05/9.81 | % 34.05/9.81 | Combining equations (3515,5541) yields a new equation: % 34.05/9.81 | (1573) e4 = e0 % 34.05/9.81 | % 34.05/9.81 | Simplifying 1573 yields: % 34.05/9.81 | (654) e4 = e0 % 34.05/9.81 | % 34.05/9.81 | Equations (654) can reduce 4 to: % 34.05/9.81 | (303) $false % 34.05/9.81 | % 34.05/9.81 |-The branch is then unsatisfiable % 34.05/9.81 |-Branch two: % 34.05/9.81 | (3521) all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48) % 34.05/9.81 | % 34.05/9.81 | Applying alpha-rule on (3521) yields: % 34.05/9.81 | (356) all_0_4_4 = e4 % 34.05/9.81 | (3523) ~ (all_0_3_3 = e2) % 34.05/9.81 | (3524) ~ (all_0_42_42 = all_0_48_48) % 34.05/9.81 | % 34.05/9.81 | Combining equations (356,12421) yields a new equation: % 34.05/9.81 | (878) e4 = e2 % 34.05/9.81 | % 34.05/9.81 | Simplifying 878 yields: % 34.05/9.81 | (470) e4 = e2 % 34.05/9.81 | % 34.05/9.81 | Equations (470) can reduce 231 to: % 34.05/9.81 | (303) $false % 34.05/9.81 | % 34.05/9.81 |-The branch is then unsatisfiable % 34.05/9.81 |-Branch two: % 34.05/9.81 | (3526) all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52) % 34.05/9.81 | % 34.05/9.81 | Applying alpha-rule on (3526) yields: % 34.05/9.81 | (3527) all_0_6_6 = e4 % 34.05/9.81 | (3528) ~ (all_0_5_5 = e1) % 34.05/9.81 | (3529) ~ (all_0_43_43 = all_0_52_52) % 34.05/9.81 | % 34.05/9.81 | Combining equations (3527,10947) yields a new equation: % 34.05/9.81 | (1573) e4 = e0 % 34.05/9.81 | % 34.05/9.81 | Simplifying 1573 yields: % 34.05/9.81 | (654) e4 = e0 % 34.05/9.81 | % 34.05/9.81 | Equations (654) can reduce 4 to: % 34.05/9.81 | (303) $false % 34.05/9.81 | % 34.05/9.81 |-The branch is then unsatisfiable % 34.05/9.81 |-Branch two: % 34.05/9.81 | (3533) all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56) % 34.05/9.81 | % 34.05/9.81 | Applying alpha-rule on (3533) yields: % 34.05/9.81 | (3534) all_0_8_8 = e4 % 34.05/9.81 | (3535) ~ (all_0_7_7 = e0) % 34.05/9.81 | (3536) ~ (all_0_44_44 = all_0_56_56) % 34.05/9.81 | % 34.05/9.81 | Combining equations (3534,10944) yields a new equation: % 34.05/9.81 | (1573) e4 = e0 % 34.05/9.81 | % 34.05/9.81 | Simplifying 1573 yields: % 34.05/9.81 | (654) e4 = e0 % 34.05/9.81 | % 34.05/9.81 | Equations (654) can reduce 4 to: % 34.05/9.81 | (303) $false % 34.05/9.81 | % 34.05/9.81 |-The branch is then unsatisfiable % 34.05/9.81 |-Branch two: % 34.05/9.81 | (3538) all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45) % 34.05/9.81 | % 34.13/9.81 | Applying alpha-rule on (3538) yields: % 34.13/9.81 | (3539) all_0_10_10 = e3 % 34.13/9.81 | (3540) ~ (all_0_9_9 = e4) % 34.13/9.81 | (3517) ~ (all_0_41_41 = all_0_45_45) % 34.13/9.81 | % 34.13/9.81 | Equations (6284) can reduce 3540 to: % 34.13/9.81 | (303) $false % 34.13/9.81 | % 34.13/9.81 |-The branch is then unsatisfiable % 34.13/9.81 |-Branch two: % 34.13/9.82 | (3545) all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53) % 34.13/9.82 | % 34.13/9.82 | Applying alpha-rule on (3545) yields: % 34.13/9.82 | (3546) all_0_12_12 = e3 % 34.13/9.82 | (3547) ~ (all_0_11_11 = e1) % 34.13/9.82 | (3548) ~ (all_0_46_46 = all_0_53_53) % 34.13/9.82 | % 34.13/9.82 | Combining equations (3546,10794) yields a new equation: % 34.13/9.82 | (443) e4 = e3 % 34.13/9.82 | % 34.13/9.82 | Equations (443) can reduce 30 to: % 34.13/9.82 | (303) $false % 34.13/9.82 | % 34.13/9.82 |-The branch is then unsatisfiable % 34.13/9.82 |-Branch two: % 34.13/9.82 | (3552) all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57) % 34.13/9.82 | % 34.13/9.82 | Applying alpha-rule on (3552) yields: % 34.13/9.82 | (3553) all_0_14_14 = e3 % 34.13/9.82 | (3554) ~ (all_0_13_13 = e0) % 34.13/9.82 | (3555) ~ (all_0_47_47 = all_0_57_57) % 34.13/9.82 | % 34.13/9.82 | Combining equations (3553,17923) yields a new equation: % 34.13/9.82 | (443) e4 = e3 % 34.13/9.82 | % 34.13/9.82 | Equations (443) can reduce 30 to: % 34.13/9.82 | (303) $false % 34.13/9.82 | % 34.13/9.82 |-The branch is then unsatisfiable % 34.13/9.82 |-Branch two: % 34.13/9.82 | (3557) all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48) % 34.13/9.82 | % 34.13/9.82 | Applying alpha-rule on (3557) yields: % 34.13/9.82 | (3558) all_0_16_16 = e2 % 34.13/9.82 | (3559) ~ (all_0_15_15 = e4) % 34.13/9.82 | (3524) ~ (all_0_42_42 = all_0_48_48) % 34.13/9.82 | % 34.13/9.82 | Equations (6401) can reduce 3559 to: % 34.13/9.82 | (303) $false % 34.13/9.82 | % 34.13/9.82 |-The branch is then unsatisfiable % 34.13/9.82 |-Branch two: % 34.13/9.82 | (3562) all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1) % 34.13/9.82 | % 34.13/9.82 | Applying alpha-rule on (3562) yields: % 34.13/9.82 | (3563) all_0_18_18 = e2 % 34.13/9.82 | (3564) ~ (all_0_17_17 = e3) % 34.13/9.82 | (506) ~ (all_0_49_49 = e1) % 34.13/9.82 | % 34.13/9.82 | Combining equations (3563,18206) yields a new equation: % 34.13/9.82 | (584) e2 = e1 % 34.13/9.82 | % 34.13/9.82 | Simplifying 584 yields: % 34.13/9.82 | (585) e2 = e1 % 34.13/9.82 | % 34.13/9.82 | Equations (585) can reduce 144 to: % 34.13/9.82 | (303) $false % 34.13/9.82 | % 34.13/9.82 |-The branch is then unsatisfiable % 34.13/9.82 |-Branch two: % 34.13/9.82 | (3567) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54) % 34.13/9.82 | % 34.13/9.82 | Applying alpha-rule on (3567) yields: % 34.13/9.82 | (3568) all_0_20_20 = e2 % 34.13/9.82 | (3569) ~ (all_0_19_19 = e1) % 34.13/9.82 | (3570) ~ (all_0_50_50 = all_0_54_54) % 34.13/9.82 | % 34.13/9.82 | Combining equations (3568,10939) yields a new equation: % 34.13/9.82 | (584) e2 = e1 % 34.13/9.82 | % 34.13/9.82 | Simplifying 584 yields: % 34.13/9.82 | (585) e2 = e1 % 34.13/9.82 | % 34.13/9.82 | Equations (585) can reduce 144 to: % 34.13/9.82 | (303) $false % 34.13/9.82 | % 34.13/9.82 |-The branch is then unsatisfiable % 34.13/9.82 |-Branch two: % 34.13/9.82 | (3574) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58) % 34.13/9.82 | % 34.13/9.82 | Applying alpha-rule on (3574) yields: % 34.13/9.82 | (3575) all_0_22_22 = e2 % 34.13/9.82 | (3576) ~ (all_0_21_21 = e0) % 34.13/9.82 | (3577) ~ (all_0_51_51 = all_0_58_58) % 34.13/9.82 | % 34.13/9.82 | Equations (927,340) can reduce 3577 to: % 34.13/9.82 | (303) $false % 34.13/9.82 | % 34.13/9.82 |-The branch is then unsatisfiable % 34.13/9.82 |-Branch two: % 34.13/9.82 | (3579) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52) % 34.13/9.82 | % 34.13/9.82 | Applying alpha-rule on (3579) yields: % 34.13/9.82 | (3580) all_0_24_24 = e1 % 34.13/9.82 | (3581) ~ (all_0_23_23 = e4) % 34.13/9.82 | (3529) ~ (all_0_43_43 = all_0_52_52) % 34.13/9.82 | % 34.13/9.82 | Equations (17972) can reduce 3581 to: % 34.13/9.82 | (303) $false % 34.13/9.82 | % 34.13/9.82 |-The branch is then unsatisfiable % 34.13/9.82 |-Branch two: % 34.13/9.82 | (3584) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53) % 34.13/9.82 | % 34.13/9.82 | Applying alpha-rule on (3584) yields: % 34.13/9.82 | (3585) all_0_26_26 = e1 % 34.13/9.82 | (3586) ~ (all_0_25_25 = e3) % 34.13/9.82 | (3548) ~ (all_0_46_46 = all_0_53_53) % 34.13/9.82 | % 34.13/9.82 | Combining equations (3585,2620) yields a new equation: % 34.13/9.82 | (541) e4 = e1 % 34.13/9.82 | % 34.13/9.82 | Equations (541) can reduce 247 to: % 34.13/9.82 | (303) $false % 34.13/9.82 | % 34.13/9.82 |-The branch is then unsatisfiable % 34.13/9.82 |-Branch two: % 34.13/9.82 | (3641) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54) % 34.13/9.82 | % 34.13/9.82 | Applying alpha-rule on (3641) yields: % 34.13/9.82 | (3642) all_0_28_28 = e1 % 34.13/9.82 | (3643) ~ (all_0_27_27 = e2) % 34.13/9.82 | (3570) ~ (all_0_50_50 = all_0_54_54) % 34.13/9.82 | % 34.13/9.82 | Combining equations (3642,12394) yields a new equation: % 34.13/9.82 | (670) e1 = e0 % 34.13/9.82 | % 34.13/9.82 | Simplifying 670 yields: % 34.13/9.82 | (590) e1 = e0 % 34.13/9.82 | % 34.13/9.82 | Equations (590) can reduce 134 to: % 34.13/9.82 | (303) $false % 34.13/9.82 | % 34.13/9.82 |-The branch is then unsatisfiable % 34.13/9.82 |-Branch two: % 34.13/9.82 | (3647) all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59) % 34.13/9.82 | % 34.13/9.83 | Applying alpha-rule on (3647) yields: % 34.13/9.83 | (3648) all_0_30_30 = e1 % 34.13/9.83 | (3649) ~ (all_0_29_29 = e0) % 34.13/9.83 | (3650) ~ (all_0_55_55 = all_0_59_59) % 34.13/9.83 | % 34.13/9.83 | Equations (15604) can reduce 3649 to: % 34.13/9.83 | (303) $false % 34.13/9.83 | % 34.13/9.83 |-The branch is then unsatisfiable % 34.13/9.83 |-Branch two: % 34.13/9.83 | (3652) all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56) % 34.13/9.83 | % 34.13/9.83 | Applying alpha-rule on (3652) yields: % 34.13/9.83 | (3653) all_0_32_32 = e0 % 34.13/9.83 | (3654) ~ (all_0_31_31 = e4) % 34.13/9.83 | (3536) ~ (all_0_44_44 = all_0_56_56) % 34.13/9.83 | % 34.13/9.83 | Equations (18207) can reduce 3654 to: % 34.13/9.83 | (303) $false % 34.13/9.83 | % 34.13/9.83 |-The branch is then unsatisfiable % 34.13/9.83 |-Branch two: % 34.13/9.83 | (3657) all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57) % 34.13/9.83 | % 34.13/9.83 | Applying alpha-rule on (3657) yields: % 34.13/9.83 | (421) all_0_34_34 = e0 % 34.13/9.83 | (3659) ~ (all_0_33_33 = e3) % 34.13/9.83 | (3555) ~ (all_0_47_47 = all_0_57_57) % 34.13/9.83 | % 34.13/9.83 | Combining equations (3957,421) yields a new equation: % 34.13/9.83 | (496) e3 = e0 % 34.13/9.83 | % 34.13/9.83 | Simplifying 496 yields: % 34.13/9.83 | (497) e3 = e0 % 34.13/9.83 | % 34.13/9.83 | Equations (497) can reduce 70 to: % 34.13/9.83 | (303) $false % 34.13/9.83 | % 34.13/9.83 |-The branch is then unsatisfiable % 34.13/9.83 |-Branch two: % 34.13/9.83 | (3662) all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_51_51 = all_0_58_58) % 34.13/9.83 | % 34.13/9.83 | Applying alpha-rule on (3662) yields: % 34.13/9.83 | (354) all_0_36_36 = e0 % 34.13/9.83 | (3664) ~ (all_0_35_35 = e2) % 34.13/9.83 | (3577) ~ (all_0_51_51 = all_0_58_58) % 34.13/9.83 | % 34.13/9.83 | Combining equations (12418,354) yields a new equation: % 34.13/9.83 | (496) e3 = e0 % 34.13/9.83 | % 34.13/9.83 | Simplifying 496 yields: % 34.13/9.83 | (497) e3 = e0 % 34.13/9.83 | % 34.13/9.83 | Equations (497) can reduce 70 to: % 34.13/9.83 | (303) $false % 34.13/9.83 | % 34.13/9.83 |-The branch is then unsatisfiable % 34.13/9.83 |-Branch two: % 34.13/9.83 | (3667) all_0_38_38 = e0 & ~ (all_0_37_37 = e1) & ~ (all_0_55_55 = all_0_59_59) % 34.13/9.83 | % 34.13/9.83 | Applying alpha-rule on (3667) yields: % 34.13/9.83 | (3668) all_0_38_38 = e0 % 34.13/9.83 | (3669) ~ (all_0_37_37 = e1) % 34.13/9.83 | (3650) ~ (all_0_55_55 = all_0_59_59) % 34.13/9.83 | % 34.13/9.83 | Combining equations (5549,3668) yields a new equation: % 34.13/9.83 | (403) e2 = e0 % 34.13/9.83 | % 34.13/9.83 | Simplifying 403 yields: % 34.13/9.83 | (385) e2 = e0 % 34.13/9.83 | % 34.13/9.83 | Equations (385) can reduce 51 to: % 34.13/9.83 | (303) $false % 34.13/9.83 | % 34.13/9.83 |-The branch is then unsatisfiable % 34.13/9.83 |-Branch two: % 34.13/9.83 | (296) ~ (all_0_56_56 = e0) % 34.13/9.83 | (2310) all_0_57_57 = e0 | all_0_58_58 = e0 | all_0_60_60 = e0 % 34.13/9.83 | % 34.13/9.83 +-Applying beta-rule and splitting (56), into two cases. % 34.13/9.83 |-Branch one: % 34.13/9.83 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 34.13/9.83 | % 34.13/9.83 +-Applying beta-rule and splitting (480), into two cases. % 34.13/9.83 |-Branch one: % 34.13/9.83 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 34.13/9.83 | % 34.13/9.83 +-Applying beta-rule and splitting (481), into two cases. % 34.13/9.83 |-Branch one: % 34.13/9.83 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 34.13/9.83 | % 34.13/9.83 +-Applying beta-rule and splitting (482), into two cases. % 34.13/9.83 |-Branch one: % 34.13/9.83 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 34.13/9.83 | % 34.13/9.83 | Applying alpha-rule on (483) yields: % 34.13/9.83 | (484) ~ (unit = e4) % 34.13/9.83 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 34.13/9.83 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 34.13/9.83 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 34.13/9.83 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 34.13/9.83 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 34.13/9.83 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 34.13/9.83 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 34.13/9.83 | (492) ~ (all_0_55_55 = e4) % 34.13/9.83 | (493) all_0_45_45 = e3 % 34.13/9.83 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 34.13/9.83 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 34.13/9.83 | % 34.13/9.83 +-Applying beta-rule and splitting (487), into two cases. % 34.13/9.83 |-Branch one: % 34.13/9.83 | (350) ~ (all_0_60_60 = e4) % 34.13/9.83 | % 34.13/9.83 | Equations (1510) can reduce 350 to: % 34.13/9.83 | (303) $false % 34.13/9.83 | % 34.13/9.83 |-The branch is then unsatisfiable % 34.13/9.83 |-Branch two: % 34.13/9.83 | (1510) all_0_60_60 = e4 % 34.13/9.83 | (2307) all_0_56_56 = e0 % 34.13/9.83 | % 34.13/9.83 | Equations (2307) can reduce 296 to: % 34.13/9.83 | (303) $false % 34.13/9.83 | % 34.13/9.83 |-The branch is then unsatisfiable % 34.13/9.83 |-Branch two: % 34.13/9.83 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 34.13/9.83 | % 34.13/9.83 | Applying alpha-rule on (499) yields: % 34.13/9.83 | (500) ~ (all_0_51_51 = e1) % 34.13/9.83 | (501) ~ (all_0_60_60 = e1) % 34.13/9.83 | (502) ~ (all_0_52_52 = e1) % 34.13/9.83 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 34.13/9.83 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 34.13/9.83 | (252) all_0_46_46 = e2 % 34.13/9.83 | (506) ~ (all_0_49_49 = e1) % 34.13/9.83 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 34.13/9.83 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 34.13/9.83 | (509) ~ (all_0_53_53 = e1) % 34.13/9.83 | (510) ~ (unit = e1) % 34.13/9.83 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 34.13/9.83 | (512) ~ (all_0_44_44 = e1) % 34.13/9.83 | % 34.13/9.83 | Equations (384) can reduce 506 to: % 34.13/9.83 | (661) ~ (e1 = e0) % 34.13/9.83 | % 34.13/9.83 | Simplifying 661 yields: % 34.13/9.83 | (134) ~ (e1 = e0) % 34.13/9.83 | % 34.13/9.83 +-Applying beta-rule and splitting (6377), into two cases. % 34.13/9.83 |-Branch one: % 34.13/9.83 | (287) all_0_45_45 = e0 % 34.13/9.83 | % 34.13/9.83 | Combining equations (287,493) yields a new equation: % 34.13/9.83 | (497) e3 = e0 % 34.13/9.83 | % 34.13/9.83 | Equations (497) can reduce 70 to: % 34.13/9.83 | (303) $false % 34.13/9.83 | % 34.13/9.83 |-The branch is then unsatisfiable % 34.13/9.83 |-Branch two: % 34.13/9.83 | (534) ~ (all_0_45_45 = e0) % 34.13/9.83 | (6383) all_0_48_48 = e0 | all_0_56_56 = e0 % 34.13/9.83 | % 34.13/9.83 +-Applying beta-rule and splitting (2310), into two cases. % 34.13/9.83 |-Branch one: % 34.13/9.83 | (407) all_0_57_57 = e0 % 34.13/9.83 | % 34.13/9.83 | Combining equations (589,407) yields a new equation: % 34.13/9.83 | (670) e1 = e0 % 34.13/9.83 | % 34.13/9.83 | Simplifying 670 yields: % 34.13/9.83 | (590) e1 = e0 % 34.13/9.83 | % 34.13/9.83 | Equations (590) can reduce 134 to: % 34.13/9.83 | (303) $false % 34.13/9.83 | % 34.13/9.83 |-The branch is then unsatisfiable % 34.13/9.83 |-Branch two: % 34.13/9.83 | (2273) ~ (all_0_57_57 = e0) % 34.13/9.83 | (2314) all_0_58_58 = e0 | all_0_60_60 = e0 % 34.13/9.83 | % 34.13/9.83 | Equations (589) can reduce 2273 to: % 34.13/9.83 | (134) ~ (e1 = e0) % 34.13/9.83 | % 34.13/9.83 +-Applying beta-rule and splitting (6383), into two cases. % 34.13/9.83 |-Branch one: % 34.13/9.83 | (380) all_0_48_48 = e0 % 34.13/9.83 | % 34.13/9.83 | Combining equations (748,380) yields a new equation: % 34.13/9.83 | (670) e1 = e0 % 34.13/9.83 | % 34.13/9.83 | Simplifying 670 yields: % 34.13/9.83 | (590) e1 = e0 % 34.13/9.83 | % 34.13/9.83 | Equations (590) can reduce 134 to: % 34.13/9.83 | (303) $false % 34.13/9.83 | % 34.13/9.83 |-The branch is then unsatisfiable % 34.13/9.83 |-Branch two: % 34.13/9.83 | (292) ~ (all_0_48_48 = e0) % 34.13/9.83 | (2307) all_0_56_56 = e0 % 34.13/9.83 | % 34.13/9.83 | Equations (2307) can reduce 296 to: % 34.13/9.83 | (303) $false % 34.13/9.83 | % 34.13/9.83 |-The branch is then unsatisfiable % 34.13/9.83 |-Branch two: % 34.13/9.83 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 34.13/9.83 | % 34.13/9.83 | Applying alpha-rule on (514) yields: % 34.13/9.83 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 34.13/9.83 | (516) ~ (all_0_47_47 = e3) % 34.13/9.83 | (314) ~ (all_0_55_55 = e3) % 34.13/9.83 | (368) all_0_49_49 = e2 % 34.13/9.83 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 34.13/9.83 | (520) ~ (unit = e3) % 34.13/9.83 | (521) ~ (all_0_52_52 = e3) % 34.13/9.83 | (455) ~ (all_0_46_46 = e3) % 34.13/9.83 | (432) ~ (all_0_40_40 = e3) % 34.13/9.83 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 34.13/9.83 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 34.13/9.83 | (526) ~ (all_0_56_56 = e3) % 34.13/9.83 | % 34.13/9.83 | Combining equations (368,384) yields a new equation: % 34.13/9.83 | (403) e2 = e0 % 34.13/9.83 | % 34.13/9.83 | Simplifying 403 yields: % 34.13/9.83 | (385) e2 = e0 % 34.13/9.83 | % 34.13/9.83 | Equations (385) can reduce 51 to: % 34.13/9.83 | (303) $false % 34.13/9.83 | % 34.13/9.83 |-The branch is then unsatisfiable % 34.13/9.83 |-Branch two: % 34.13/9.83 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 34.13/9.83 | % 34.13/9.83 | Applying alpha-rule on (528) yields: % 34.13/9.83 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 34.13/9.83 | (530) all_0_55_55 = e1 % 34.13/9.83 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 34.13/9.83 | (387) ~ (all_0_49_49 = e0) % 34.13/9.83 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 34.13/9.83 | (534) ~ (all_0_45_45 = e0) % 34.13/9.83 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 34.13/9.84 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 34.13/9.84 | (537) ~ (unit = e0) % 34.13/9.84 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 34.13/9.84 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 34.13/9.84 | % 34.13/9.84 | Equations (384) can reduce 387 to: % 34.13/9.84 | (303) $false % 34.13/9.84 | % 34.13/9.84 |-The branch is then unsatisfiable % 34.13/9.84 |-Branch two: % 34.13/9.84 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 34.13/9.84 | % 34.13/9.84 | Applying alpha-rule on (543) yields: % 34.13/9.84 | (544) ~ (all_0_48_48 = e2) % 34.13/9.84 | (369) ~ (all_0_41_41 = e2) % 34.13/9.84 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 34.13/9.84 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 34.13/9.84 | (253) ~ (all_0_43_43 = e2) % 34.13/9.84 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 34.13/9.84 | (276) ~ (all_0_55_55 = e2) % 34.13/9.84 | (260) ~ (all_0_59_59 = e2) % 34.13/9.84 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 34.13/9.84 | (274) ~ (all_0_53_53 = e2) % 34.13/9.84 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 34.13/9.84 | (373) ~ (all_0_51_51 = e2) % 34.13/9.84 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 34.13/9.84 | (256) ~ (all_0_47_47 = e2) % 34.13/9.84 | (377) ~ (all_0_57_57 = e2) % 34.13/9.84 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 34.13/9.84 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 34.13/9.84 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 34.13/9.84 | (258) ~ (all_0_50_50 = e2) % 34.13/9.84 | (254) ~ (all_0_45_45 = e2) % 34.13/9.84 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 34.13/9.84 | % 34.13/9.84 | Equations (927) can reduce 373 to: % 34.13/9.84 | (303) $false % 34.13/9.84 | % 34.13/9.84 |-The branch is then unsatisfiable % 34.13/9.84 |-Branch two: % 34.13/9.84 | (592) ~ (all_0_57_57 = e1) % 34.13/9.84 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 34.13/9.84 | % 34.13/9.84 +-Applying beta-rule and splitting (221), into two cases. % 34.13/9.84 |-Branch one: % 34.13/9.84 | (696) all_0_41_41 = e1 % 34.13/9.84 | % 34.13/9.84 | Combining equations (945,696) yields a new equation: % 34.13/9.84 | (584) e2 = e1 % 34.13/9.84 | % 34.13/9.84 | Simplifying 584 yields: % 34.13/9.84 | (585) e2 = e1 % 34.13/9.84 | % 34.13/9.84 | Equations (585) can reduce 144 to: % 34.13/9.84 | (303) $false % 34.13/9.84 | % 34.13/9.84 |-The branch is then unsatisfiable % 34.13/9.84 |-Branch two: % 34.13/9.84 | (699) ~ (all_0_41_41 = e1) % 34.13/9.84 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 34.13/9.84 | % 34.13/9.84 +-Applying beta-rule and splitting (50), into two cases. % 34.13/9.84 |-Branch one: % 34.13/9.84 | (2307) all_0_56_56 = e0 % 34.13/9.84 | % 34.13/9.84 | Equations (2307) can reduce 587 to: % 34.13/9.84 | (661) ~ (e1 = e0) % 34.13/9.84 | % 34.13/9.84 | Simplifying 661 yields: % 34.13/9.84 | (134) ~ (e1 = e0) % 34.13/9.84 | % 34.13/9.84 +-Applying beta-rule and splitting (2154), into two cases. % 34.13/9.84 |-Branch one: % 34.13/9.84 | (1580) all_0_49_49 = e1 % 34.13/9.84 | % 34.13/9.84 | Combining equations (1580,384) yields a new equation: % 34.13/9.84 | (670) e1 = e0 % 34.13/9.84 | % 34.13/9.84 | Simplifying 670 yields: % 34.13/9.84 | (590) e1 = e0 % 34.13/9.84 | % 34.13/9.84 | Equations (590) can reduce 134 to: % 34.13/9.84 | (303) $false % 34.13/9.84 | % 34.13/9.84 |-The branch is then unsatisfiable % 34.13/9.84 |-Branch two: % 34.13/9.84 | (506) ~ (all_0_49_49 = e1) % 34.13/9.84 | (2676) all_0_53_53 = e1 | all_0_57_57 = e1 % 34.13/9.84 | % 34.13/9.84 +-Applying beta-rule and splitting (2652), into two cases. % 34.13/9.84 |-Branch one: % 34.13/9.84 | (589) all_0_57_57 = e1 % 34.13/9.84 | % 34.13/9.84 | Equations (589) can reduce 592 to: % 34.13/9.84 | (303) $false % 34.13/9.84 | % 34.13/9.84 |-The branch is then unsatisfiable % 34.13/9.84 |-Branch two: % 34.13/9.84 | (592) ~ (all_0_57_57 = e1) % 34.13/9.84 | (3062) all_0_57_57 = e3 | all_0_57_57 = e0 % 34.13/9.84 | % 34.13/9.84 +-Applying beta-rule and splitting (2676), into two cases. % 34.13/9.84 |-Branch one: % 34.13/9.84 | (462) all_0_53_53 = e1 % 34.13/9.84 | % 34.13/9.84 | Combining equations (462,994) yields a new equation: % 34.13/9.84 | (601) e3 = e1 % 34.13/9.84 | % 34.13/9.84 | Equations (601) can reduce 136 to: % 34.13/9.84 | (303) $false % 34.13/9.84 | % 34.13/9.84 |-The branch is then unsatisfiable % 34.13/9.84 |-Branch two: % 34.13/9.84 | (509) ~ (all_0_53_53 = e1) % 34.13/9.84 | (589) all_0_57_57 = e1 % 34.13/9.84 | % 34.13/9.84 | Equations (589) can reduce 592 to: % 34.13/9.84 | (303) $false % 34.13/9.84 | % 34.13/9.84 |-The branch is then unsatisfiable % 34.13/9.84 |-Branch two: % 34.13/9.84 | (296) ~ (all_0_56_56 = e0) % 34.13/9.84 | (2310) all_0_57_57 = e0 | all_0_58_58 = e0 | all_0_60_60 = e0 % 34.13/9.84 | % 34.13/9.84 +-Applying beta-rule and splitting (56), into two cases. % 34.13/9.84 |-Branch one: % 34.13/9.84 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 34.13/9.84 | % 34.13/9.84 +-Applying beta-rule and splitting (480), into two cases. % 34.13/9.84 |-Branch one: % 34.13/9.84 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 34.13/9.84 | % 34.13/9.84 +-Applying beta-rule and splitting (481), into two cases. % 34.13/9.84 |-Branch one: % 34.13/9.84 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 34.13/9.84 | % 34.13/9.84 +-Applying beta-rule and splitting (482), into two cases. % 34.13/9.84 |-Branch one: % 34.13/9.84 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 34.13/9.84 | % 34.13/9.84 | Applying alpha-rule on (483) yields: % 34.13/9.84 | (484) ~ (unit = e4) % 34.13/9.84 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 34.13/9.84 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 34.13/9.84 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 34.13/9.84 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 34.13/9.84 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 34.13/9.84 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 34.13/9.84 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 34.13/9.84 | (492) ~ (all_0_55_55 = e4) % 34.13/9.84 | (493) all_0_45_45 = e3 % 34.13/9.84 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 34.13/9.84 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 34.13/9.84 | % 34.13/9.84 +-Applying beta-rule and splitting (487), into two cases. % 34.13/9.84 |-Branch one: % 34.13/9.84 | (350) ~ (all_0_60_60 = e4) % 34.13/9.84 | % 34.13/9.84 | Equations (1510) can reduce 350 to: % 34.13/9.84 | (303) $false % 34.13/9.84 | % 34.13/9.84 |-The branch is then unsatisfiable % 34.13/9.84 |-Branch two: % 34.13/9.84 | (1510) all_0_60_60 = e4 % 34.13/9.84 | (2307) all_0_56_56 = e0 % 34.13/9.84 | % 34.13/9.84 | Equations (2307) can reduce 296 to: % 34.13/9.84 | (303) $false % 34.13/9.84 | % 34.13/9.84 |-The branch is then unsatisfiable % 34.13/9.84 |-Branch two: % 34.13/9.84 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 34.13/9.84 | % 34.13/9.84 | Applying alpha-rule on (499) yields: % 34.13/9.84 | (500) ~ (all_0_51_51 = e1) % 34.13/9.84 | (501) ~ (all_0_60_60 = e1) % 34.13/9.84 | (502) ~ (all_0_52_52 = e1) % 34.13/9.84 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 34.13/9.84 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 34.13/9.84 | (252) all_0_46_46 = e2 % 34.13/9.84 | (506) ~ (all_0_49_49 = e1) % 34.13/9.84 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 34.13/9.84 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 34.13/9.84 | (509) ~ (all_0_53_53 = e1) % 34.13/9.84 | (510) ~ (unit = e1) % 34.13/9.84 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 34.13/9.84 | (512) ~ (all_0_44_44 = e1) % 34.13/9.84 | % 34.13/9.84 | Equations (994) can reduce 509 to: % 34.13/9.84 | (136) ~ (e3 = e1) % 34.13/9.84 | % 34.13/9.84 | Equations (1510) can reduce 501 to: % 34.13/9.84 | (247) ~ (e4 = e1) % 34.13/9.84 | % 34.13/9.84 +-Applying beta-rule and splitting (593), into two cases. % 34.13/9.84 |-Branch one: % 34.13/9.84 | (600) all_0_59_59 = e1 % 34.13/9.84 | % 34.13/9.84 | Combining equations (600,456) yields a new equation: % 34.13/9.84 | (601) e3 = e1 % 34.13/9.84 | % 34.13/9.84 | Equations (601) can reduce 136 to: % 34.13/9.84 | (303) $false % 34.13/9.84 | % 34.13/9.84 |-The branch is then unsatisfiable % 34.13/9.84 |-Branch two: % 34.13/9.84 | (603) ~ (all_0_59_59 = e1) % 34.13/9.84 | (604) all_0_60_60 = e1 % 34.13/9.84 | % 34.13/9.84 | Combining equations (604,1510) yields a new equation: % 34.13/9.84 | (541) e4 = e1 % 34.13/9.84 | % 34.13/9.84 | Equations (541) can reduce 247 to: % 34.13/9.84 | (303) $false % 34.13/9.84 | % 34.13/9.84 |-The branch is then unsatisfiable % 34.13/9.84 |-Branch two: % 34.13/9.84 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 34.13/9.84 | % 34.13/9.84 | Applying alpha-rule on (514) yields: % 34.13/9.84 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 34.13/9.84 | (516) ~ (all_0_47_47 = e3) % 34.13/9.84 | (314) ~ (all_0_55_55 = e3) % 34.13/9.84 | (368) all_0_49_49 = e2 % 34.13/9.84 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 34.13/9.84 | (520) ~ (unit = e3) % 34.13/9.84 | (521) ~ (all_0_52_52 = e3) % 34.13/9.84 | (455) ~ (all_0_46_46 = e3) % 34.13/9.84 | (432) ~ (all_0_40_40 = e3) % 34.13/9.84 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 34.13/9.84 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 34.13/9.84 | (526) ~ (all_0_56_56 = e3) % 34.13/9.84 | % 34.13/9.84 | Combining equations (384,368) yields a new equation: % 34.13/9.84 | (385) e2 = e0 % 34.13/9.84 | % 34.13/9.84 | Equations (385) can reduce 51 to: % 34.13/9.84 | (303) $false % 34.13/9.84 | % 34.13/9.84 |-The branch is then unsatisfiable % 34.13/9.84 |-Branch two: % 34.13/9.84 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 34.13/9.84 | % 34.13/9.84 | Applying alpha-rule on (528) yields: % 34.13/9.84 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 34.13/9.84 | (530) all_0_55_55 = e1 % 34.13/9.84 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 34.13/9.84 | (387) ~ (all_0_49_49 = e0) % 34.13/9.84 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 34.13/9.84 | (534) ~ (all_0_45_45 = e0) % 34.13/9.84 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 34.13/9.84 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 34.13/9.84 | (537) ~ (unit = e0) % 34.13/9.84 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 34.13/9.84 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 34.13/9.84 | % 34.13/9.84 | Equations (384) can reduce 387 to: % 34.13/9.84 | (303) $false % 34.13/9.84 | % 34.13/9.84 |-The branch is then unsatisfiable % 34.13/9.84 |-Branch two: % 34.13/9.84 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 34.13/9.84 | % 34.13/9.84 | Applying alpha-rule on (543) yields: % 34.13/9.84 | (544) ~ (all_0_48_48 = e2) % 34.13/9.84 | (369) ~ (all_0_41_41 = e2) % 34.13/9.84 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 34.13/9.84 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 34.13/9.84 | (253) ~ (all_0_43_43 = e2) % 34.13/9.84 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 34.13/9.84 | (276) ~ (all_0_55_55 = e2) % 34.13/9.84 | (260) ~ (all_0_59_59 = e2) % 34.13/9.84 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 34.13/9.84 | (274) ~ (all_0_53_53 = e2) % 34.13/9.84 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 34.13/9.84 | (373) ~ (all_0_51_51 = e2) % 34.13/9.84 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 34.13/9.84 | (256) ~ (all_0_47_47 = e2) % 34.13/9.84 | (377) ~ (all_0_57_57 = e2) % 34.13/9.84 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 34.13/9.84 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 34.13/9.84 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 34.13/9.84 | (258) ~ (all_0_50_50 = e2) % 34.13/9.84 | (254) ~ (all_0_45_45 = e2) % 34.13/9.84 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 34.13/9.84 | % 34.13/9.84 | Equations (927) can reduce 373 to: % 34.13/9.84 | (303) $false % 34.13/9.84 | % 34.13/9.84 |-The branch is then unsatisfiable % 34.13/9.84 |-Branch two: % 34.13/9.84 | (802) ~ (all_0_48_48 = e1) % 34.13/9.84 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 34.13/9.84 | % 34.13/9.84 +-Applying beta-rule and splitting (175), into two cases. % 34.13/9.84 |-Branch one: % 34.13/9.84 | (624) all_0_40_40 = e1 % 34.13/9.84 | % 34.13/9.84 | Combining equations (723,624) yields a new equation: % 34.13/9.84 | (540) e4 = e1 % 34.13/9.84 | % 34.13/9.84 | Simplifying 540 yields: % 34.13/9.84 | (541) e4 = e1 % 34.13/9.84 | % 34.13/9.84 | Equations (541) can reduce 247 to: % 34.13/9.84 | (303) $false % 34.13/9.84 | % 34.13/9.84 |-The branch is then unsatisfiable % 34.13/9.84 |-Branch two: % 34.13/9.84 | (683) ~ (all_0_40_40 = e1) % 34.13/9.84 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 34.13/9.84 | % 34.13/9.84 +-Applying beta-rule and splitting (221), into two cases. % 34.13/9.84 |-Branch one: % 34.13/9.84 | (696) all_0_41_41 = e1 % 34.13/9.84 | % 34.13/9.84 | Combining equations (945,696) yields a new equation: % 34.13/9.84 | (584) e2 = e1 % 34.13/9.84 | % 34.13/9.84 | Simplifying 584 yields: % 34.13/9.84 | (585) e2 = e1 % 34.13/9.84 | % 34.13/9.84 | Equations (585) can reduce 144 to: % 34.13/9.84 | (303) $false % 34.13/9.84 | % 34.13/9.84 |-The branch is then unsatisfiable % 34.13/9.84 |-Branch two: % 34.13/9.84 | (699) ~ (all_0_41_41 = e1) % 34.13/9.84 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 34.13/9.84 | % 34.13/9.84 +-Applying beta-rule and splitting (41), into two cases. % 34.13/9.84 |-Branch one: % 34.13/9.84 | (2834) all_0_40_40 = e0 % 34.13/9.84 | % 34.13/9.84 | Combining equations (723,2834) yields a new equation: % 34.13/9.84 | (1573) e4 = e0 % 34.13/9.84 | % 34.13/9.84 | Simplifying 1573 yields: % 34.13/9.84 | (654) e4 = e0 % 34.13/9.84 | % 34.13/9.84 | Equations (654) can reduce 4 to: % 34.13/9.84 | (303) $false % 34.13/9.84 | % 34.13/9.84 |-The branch is then unsatisfiable % 34.13/9.84 |-Branch two: % 34.13/9.84 | (288) ~ (all_0_40_40 = e0) % 34.13/9.84 | (6377) all_0_45_45 = e0 | all_0_48_48 = e0 | all_0_56_56 = e0 % 34.13/9.84 | % 34.13/9.84 | Equations (723) can reduce 288 to: % 34.13/9.84 | (4) ~ (e4 = e0) % 34.13/9.84 | % 34.13/9.84 +-Applying beta-rule and splitting (2154), into two cases. % 34.13/9.84 |-Branch one: % 34.13/9.84 | (1580) all_0_49_49 = e1 % 34.13/9.84 | % 34.13/9.84 | Combining equations (384,1580) yields a new equation: % 34.13/9.84 | (590) e1 = e0 % 34.13/9.84 | % 34.13/9.84 | Equations (590) can reduce 134 to: % 34.13/9.84 | (303) $false % 34.13/9.84 | % 34.13/9.84 |-The branch is then unsatisfiable % 34.13/9.84 |-Branch two: % 34.13/9.84 | (506) ~ (all_0_49_49 = e1) % 34.13/9.84 | (2676) all_0_53_53 = e1 | all_0_57_57 = e1 % 34.13/9.84 | % 34.13/9.84 +-Applying beta-rule and splitting (684), into two cases. % 34.13/9.84 |-Branch one: % 34.13/9.84 | (748) all_0_48_48 = e1 % 34.13/9.84 | % 34.13/9.84 | Equations (748) can reduce 802 to: % 34.13/9.84 | (303) $false % 34.13/9.84 | % 34.13/9.84 |-The branch is then unsatisfiable % 34.13/9.84 |-Branch two: % 34.13/9.84 | (802) ~ (all_0_48_48 = e1) % 34.13/9.84 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 34.13/9.84 | % 34.13/9.84 +-Applying beta-rule and splitting (50), into two cases. % 34.13/9.84 |-Branch one: % 34.13/9.84 | (2307) all_0_56_56 = e0 % 34.13/9.84 | % 34.13/9.84 | Equations (2307) can reduce 172 to: % 34.13/9.84 | (2272) ~ (all_0_57_57 = e0) % 34.13/9.84 | % 34.13/9.84 | Simplifying 2272 yields: % 34.13/9.84 | (2273) ~ (all_0_57_57 = e0) % 34.13/9.84 | % 34.13/9.84 +-Applying beta-rule and splitting (2676), into two cases. % 34.13/9.84 |-Branch one: % 34.13/9.84 | (462) all_0_53_53 = e1 % 34.13/9.84 | % 34.13/9.84 | Combining equations (462,994) yields a new equation: % 34.13/9.84 | (601) e3 = e1 % 34.13/9.84 | % 34.13/9.84 | Equations (601) can reduce 136 to: % 34.13/9.84 | (303) $false % 34.13/9.84 | % 34.13/9.84 |-The branch is then unsatisfiable % 34.13/9.84 |-Branch two: % 34.13/9.84 | (509) ~ (all_0_53_53 = e1) % 34.13/9.84 | (589) all_0_57_57 = e1 % 34.13/9.84 | % 34.13/9.85 | Equations (589) can reduce 377 to: % 34.13/9.85 | (565) ~ (e2 = e1) % 34.13/9.85 | % 34.13/9.85 | Simplifying 565 yields: % 34.13/9.85 | (144) ~ (e2 = e1) % 34.13/9.85 | % 34.13/9.85 | Equations (589) can reduce 2273 to: % 34.13/9.85 | (134) ~ (e1 = e0) % 34.13/9.85 | % 34.13/9.85 +-Applying beta-rule and splitting (807), into two cases. % 34.13/9.85 |-Branch one: % 34.13/9.85 | (1070) all_0_52_52 = e1 % 34.13/9.85 | % 34.13/9.85 | Combining equations (1070,980) yields a new equation: % 34.13/9.85 | (585) e2 = e1 % 34.13/9.85 | % 34.13/9.85 | Equations (585) can reduce 144 to: % 34.13/9.85 | (303) $false % 34.13/9.85 | % 34.13/9.85 |-The branch is then unsatisfiable % 34.13/9.85 |-Branch two: % 34.13/9.85 | (502) ~ (all_0_52_52 = e1) % 34.13/9.85 | (583) all_0_56_56 = e1 % 34.13/9.85 | % 34.13/9.85 | Combining equations (583,2307) yields a new equation: % 34.13/9.85 | (670) e1 = e0 % 34.13/9.85 | % 34.13/9.85 | Simplifying 670 yields: % 34.13/9.85 | (590) e1 = e0 % 34.13/9.85 | % 34.13/9.85 | Equations (590) can reduce 134 to: % 34.13/9.85 | (303) $false % 34.13/9.85 | % 34.13/9.85 |-The branch is then unsatisfiable % 34.13/9.85 |-Branch two: % 34.13/9.85 | (296) ~ (all_0_56_56 = e0) % 34.13/9.85 | (2310) all_0_57_57 = e0 | all_0_58_58 = e0 | all_0_60_60 = e0 % 34.13/9.85 | % 34.13/9.85 +-Applying beta-rule and splitting (2676), into two cases. % 34.13/9.85 |-Branch one: % 34.13/9.85 | (462) all_0_53_53 = e1 % 34.13/9.85 | % 34.13/9.85 | Combining equations (994,462) yields a new equation: % 34.13/9.85 | (680) e3 = e1 % 34.13/9.85 | % 34.13/9.85 | Simplifying 680 yields: % 34.13/9.85 | (601) e3 = e1 % 34.13/9.85 | % 34.13/9.85 | Equations (601) can reduce 136 to: % 34.13/9.85 | (303) $false % 34.13/9.85 | % 34.13/9.85 |-The branch is then unsatisfiable % 34.13/9.85 |-Branch two: % 34.13/9.85 | (509) ~ (all_0_53_53 = e1) % 34.13/9.85 | (589) all_0_57_57 = e1 % 34.13/9.85 | % 34.13/9.85 | Equations (589) can reduce 2273 to: % 34.13/9.85 | (134) ~ (e1 = e0) % 34.13/9.85 | % 34.13/9.85 +-Applying beta-rule and splitting (2310), into two cases. % 34.13/9.85 |-Branch one: % 34.13/9.85 | (407) all_0_57_57 = e0 % 34.13/9.85 | % 34.13/9.85 | Combining equations (407,589) yields a new equation: % 34.13/9.85 | (590) e1 = e0 % 34.13/9.85 | % 34.13/9.85 | Equations (590) can reduce 134 to: % 34.13/9.85 | (303) $false % 34.13/9.85 | % 34.13/9.85 |-The branch is then unsatisfiable % 34.13/9.85 |-Branch two: % 34.13/9.85 | (2273) ~ (all_0_57_57 = e0) % 34.13/9.85 | (2314) all_0_58_58 = e0 | all_0_60_60 = e0 % 34.13/9.85 | % 34.13/9.85 +-Applying beta-rule and splitting (2314), into two cases. % 34.13/9.85 |-Branch one: % 34.13/9.85 | (989) all_0_58_58 = e0 % 34.13/9.85 | % 34.13/9.85 | Combining equations (989,340) yields a new equation: % 34.13/9.85 | (385) e2 = e0 % 34.13/9.85 | % 34.13/9.85 | Equations (385) can reduce 51 to: % 34.13/9.85 | (303) $false % 34.13/9.85 | % 34.13/9.85 |-The branch is then unsatisfiable % 34.13/9.85 |-Branch two: % 34.13/9.85 | (332) ~ (all_0_58_58 = e0) % 34.13/9.85 | (1934) all_0_60_60 = e0 % 34.13/9.85 | % 34.13/9.85 | Combining equations (1934,1510) yields a new equation: % 34.13/9.85 | (654) e4 = e0 % 34.13/9.85 | % 34.13/9.85 | Equations (654) can reduce 4 to: % 34.13/9.85 | (303) $false % 34.13/9.85 | % 34.13/9.85 |-The branch is then unsatisfiable % 34.13/9.85 |-Branch two: % 34.13/9.85 | (387) ~ (all_0_49_49 = e0) % 34.13/9.85 | (388) all_0_51_51 = e0 % 34.13/9.85 | % 34.13/9.85 | Combining equations (927,388) yields a new equation: % 34.13/9.85 | (403) e2 = e0 % 34.13/9.85 | % 34.13/9.85 | Simplifying 403 yields: % 34.13/9.85 | (385) e2 = e0 % 34.13/9.85 | % 34.13/9.85 | Equations (385) can reduce 51 to: % 34.13/9.85 | (303) $false % 34.13/9.85 | % 34.13/9.85 |-The branch is then unsatisfiable % 34.13/9.85 |-Branch two: % 34.13/9.85 | (611) ~ (all_0_50_50 = e4) % 34.13/9.85 | (717) all_0_59_59 = e4 % 34.13/9.85 | % 34.13/9.85 | Combining equations (456,717) yields a new equation: % 34.13/9.85 | (443) e4 = e3 % 34.13/9.85 | % 34.13/9.85 | Equations (443) can reduce 30 to: % 34.13/9.85 | (303) $false % 34.13/9.85 | % 34.13/9.85 |-The branch is then unsatisfiable % 34.13/9.85 |-Branch two: % 34.13/9.85 | (844) ~ (all_0_40_40 = e4) % 34.13/9.85 | (6577) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 34.13/9.85 | % 34.13/9.85 +-Applying beta-rule and splitting (139), into two cases. % 34.13/9.85 |-Branch one: % 34.13/9.85 | (614) all_0_43_43 = e4 % 34.13/9.85 | % 34.13/9.85 | Combining equations (618,614) yields a new equation: % 34.13/9.85 | (541) e4 = e1 % 34.13/9.85 | % 34.13/9.85 | Equations (541) can reduce 247 to: % 34.13/9.85 | (303) $false % 34.13/9.85 | % 34.13/9.85 |-The branch is then unsatisfiable % 34.13/9.85 |-Branch two: % 34.13/9.85 | (712) ~ (all_0_43_43 = e4) % 34.13/9.85 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 34.13/9.85 | % 34.13/9.85 | Equations (618) can reduce 712 to: % 34.13/9.85 | (605) ~ (e4 = e1) % 34.13/9.85 | % 34.13/9.85 | Simplifying 605 yields: % 34.13/9.85 | (247) ~ (e4 = e1) % 34.13/9.85 | % 34.13/9.85 +-Applying beta-rule and splitting (6577), into two cases. % 34.13/9.85 |-Branch one: % 34.13/9.85 | (3175) all_0_42_42 = e4 % 34.13/9.85 | % 34.13/9.85 | Combining equations (324,3175) yields a new equation: % 34.13/9.85 | (654) e4 = e0 % 34.13/9.85 | % 34.13/9.85 | Equations (654) can reduce 4 to: % 34.13/9.85 | (303) $false % 34.13/9.85 | % 34.13/9.85 |-The branch is then unsatisfiable % 34.13/9.85 |-Branch two: % 34.13/9.85 | (6245) ~ (all_0_42_42 = e4) % 34.13/9.85 | (6600) all_0_43_43 = e4 | all_0_44_44 = e4 % 34.13/9.85 | % 34.13/9.85 +-Applying beta-rule and splitting (6600), into two cases. % 34.13/9.85 |-Branch one: % 34.13/9.85 | (614) all_0_43_43 = e4 % 34.13/9.85 | % 34.13/9.85 | Combining equations (618,614) yields a new equation: % 34.13/9.85 | (541) e4 = e1 % 34.13/9.85 | % 34.13/9.85 | Equations (541) can reduce 247 to: % 34.13/9.85 | (303) $false % 34.13/9.85 | % 34.13/9.85 |-The branch is then unsatisfiable % 34.13/9.85 |-Branch two: % 34.13/9.85 | (712) ~ (all_0_43_43 = e4) % 34.13/9.85 | (1096) all_0_44_44 = e4 % 34.13/9.85 | % 34.13/9.85 | Combining equations (2081,1096) yields a new equation: % 34.13/9.85 | (443) e4 = e3 % 34.13/9.85 | % 34.13/9.85 | Equations (443) can reduce 30 to: % 34.13/9.85 | (303) $false % 34.13/9.85 | % 34.13/9.85 |-The branch is then unsatisfiable % 34.13/9.85 |-Branch two: % 34.13/9.85 | (622) ~ (all_0_43_43 = e1) % 34.13/9.85 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 34.13/9.85 | % 34.13/9.85 +-Applying beta-rule and splitting (623), into two cases. % 34.13/9.85 |-Branch one: % 34.13/9.85 | (627) all_0_50_50 = e1 % 34.13/9.85 | % 34.13/9.85 | Combining equations (627,268) yields a new equation: % 34.13/9.85 | (3272) all_0_12_12 = e1 % 34.13/9.85 | % 34.13/9.85 | Equations (627) can reduce 48 to: % 34.13/9.85 | (802) ~ (all_0_48_48 = e1) % 34.13/9.85 | % 34.13/9.85 | Equations (627) can reduce 258 to: % 34.13/9.85 | (565) ~ (e2 = e1) % 34.13/9.85 | % 34.13/9.85 | Simplifying 565 yields: % 34.13/9.85 | (144) ~ (e2 = e1) % 34.13/9.85 | % 34.13/9.85 | From (627) and (110) follows: % 34.13/9.85 | (3278) op(e1, e1) = all_0_20_20 % 34.13/9.85 | % 34.13/9.85 +-Applying beta-rule and splitting (139), into two cases. % 34.13/9.85 |-Branch one: % 34.13/9.85 | (614) all_0_43_43 = e4 % 34.13/9.85 | % 34.13/9.85 | Equations (614) can reduce 8 to: % 34.13/9.85 | (844) ~ (all_0_40_40 = e4) % 34.13/9.85 | % 34.13/9.85 | Equations (614) can reduce 253 to: % 34.13/9.85 | (231) ~ (e4 = e2) % 34.13/9.85 | % 34.13/9.85 | Equations (614) can reduce 117 to: % 34.13/9.85 | (4) ~ (e4 = e0) % 34.13/9.85 | % 34.13/9.85 | From (614) and (89) follows: % 34.13/9.85 | (18689) op(e4, e4) = all_0_5_5 % 34.13/9.85 | % 34.13/9.85 +-Applying beta-rule and splitting (44), into two cases. % 34.13/9.85 |-Branch one: % 34.13/9.85 | (624) all_0_40_40 = e1 % 34.13/9.85 | % 34.13/9.85 | Equations (624) can reduce 53 to: % 34.13/9.85 | (18691) ~ (all_0_48_48 = e1) % 34.13/9.85 | % 34.13/9.85 | Simplifying 18691 yields: % 34.13/9.85 | (802) ~ (all_0_48_48 = e1) % 34.13/9.85 | % 34.13/9.85 | Equations (624) can reduce 57 to: % 34.13/9.85 | (1799) ~ (all_0_56_56 = e1) % 34.13/9.85 | % 34.13/9.85 | Simplifying 1799 yields: % 34.13/9.85 | (587) ~ (all_0_56_56 = e1) % 34.13/9.85 | % 34.13/9.85 | Equations (624) can reduce 844 to: % 34.13/9.85 | (605) ~ (e4 = e1) % 34.13/9.85 | % 34.13/9.85 | Simplifying 605 yields: % 34.13/9.85 | (247) ~ (e4 = e1) % 34.13/9.85 | % 34.13/9.85 | Equations (624) can reduce 432 to: % 34.13/9.85 | (465) ~ (e3 = e1) % 34.13/9.85 | % 34.13/9.85 | Simplifying 465 yields: % 34.13/9.85 | (136) ~ (e3 = e1) % 34.13/9.85 | % 34.13/9.85 | From (624) and (168) follows: % 34.13/9.85 | (18699) op(e4, e4) = e1 % 34.13/9.85 | % 34.13/9.85 +-Applying beta-rule and splitting (234), into two cases. % 34.13/9.85 |-Branch one: % 34.13/9.85 | (609) all_0_48_48 = e4 % 34.13/9.85 | % 34.13/9.85 | Combining equations (609,13981) yields a new equation: % 34.13/9.85 | (18701) all_0_24_24 = e4 % 34.13/9.85 | % 34.13/9.85 | Equations (609) can reduce 2 to: % 34.13/9.85 | (2280) ~ (all_0_56_56 = e4) % 34.13/9.85 | % 34.13/9.85 | Simplifying 2280 yields: % 34.13/9.85 | (345) ~ (all_0_56_56 = e4) % 34.13/9.85 | % 34.13/9.85 | Equations (609) can reduce 34 to: % 34.13/9.85 | (30) ~ (e4 = e3) % 34.13/9.85 | % 34.13/9.85 | Equations (609) can reduce 544 to: % 34.13/9.85 | (231) ~ (e4 = e2) % 34.13/9.85 | % 34.13/9.85 | Equations (609) can reduce 802 to: % 34.13/9.85 | (247) ~ (e4 = e1) % 34.13/9.85 | % 34.13/9.85 | From (609) and (187) follows: % 34.13/9.85 | (18707) op(e4, e4) = all_0_16_16 % 34.13/9.85 | % 34.13/9.85 +-Applying beta-rule and splitting (67), into two cases. % 34.13/9.85 |-Branch one: % 34.13/9.85 | (380) all_0_48_48 = e0 % 34.13/9.85 | % 34.13/9.85 | Combining equations (380,609) yields a new equation: % 34.13/9.85 | (654) e4 = e0 % 34.13/9.85 | % 34.13/9.85 | Equations (654) can reduce 4 to: % 34.13/9.85 | (303) $false % 34.13/9.85 | % 34.13/9.85 |-The branch is then unsatisfiable % 34.13/9.85 |-Branch two: % 34.13/9.85 | (292) ~ (all_0_48_48 = e0) % 34.13/9.85 | (383) all_0_49_49 = e0 | all_0_51_51 = e0 % 34.13/9.85 | % 34.13/9.85 +-Applying beta-rule and splitting (383), into two cases. % 34.13/9.85 |-Branch one: % 34.13/9.86 | (384) all_0_49_49 = e0 % 34.13/9.86 | % 34.13/9.86 | Combining equations (384,8198) yields a new equation: % 34.13/9.86 | (5541) all_0_2_2 = e0 % 34.13/9.86 | % 34.13/9.86 | Equations (384) can reduce 2167 to: % 34.13/9.86 | (335) ~ (e2 = e0) % 34.13/9.86 | % 34.13/9.86 | Simplifying 335 yields: % 34.13/9.86 | (51) ~ (e2 = e0) % 34.13/9.86 | % 34.13/9.86 | From (384) and (65) follows: % 34.13/9.86 | (2548) op(e0, e3) = all_0_18_18 % 34.13/9.86 | % 34.13/9.86 +-Applying beta-rule and splitting (250), into two cases. % 34.13/9.86 |-Branch one: % 34.13/9.86 | (897) all_0_57_57 = e2 % 34.13/9.86 | % 34.13/9.86 | Equations (897) can reduce 377 to: % 34.13/9.86 | (303) $false % 34.13/9.86 | % 34.13/9.86 |-The branch is then unsatisfiable % 34.13/9.86 |-Branch two: % 34.13/9.86 | (377) ~ (all_0_57_57 = e2) % 34.13/9.86 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 34.13/9.86 | % 34.13/9.86 +-Applying beta-rule and splitting (245), into two cases. % 34.13/9.86 |-Branch one: % 34.13/9.86 | (583) all_0_56_56 = e1 % 34.13/9.86 | % 34.13/9.86 | Equations (583) can reduce 587 to: % 34.13/9.86 | (303) $false % 34.13/9.86 | % 34.13/9.86 |-The branch is then unsatisfiable % 34.13/9.86 |-Branch two: % 34.13/9.86 | (587) ~ (all_0_56_56 = e1) % 34.13/9.86 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 34.13/9.86 | % 34.13/9.86 +-Applying beta-rule and splitting (50), into two cases. % 34.13/9.86 |-Branch one: % 34.13/9.86 | (2307) all_0_56_56 = e0 % 34.13/9.86 | % 34.13/9.86 | Equations (2307) can reduce 172 to: % 34.13/9.86 | (2272) ~ (all_0_57_57 = e0) % 34.13/9.86 | % 34.13/9.86 | Simplifying 2272 yields: % 34.13/9.86 | (2273) ~ (all_0_57_57 = e0) % 34.13/9.86 | % 34.13/9.86 | Equations (2307) can reduce 345 to: % 34.13/9.86 | (297) ~ (e4 = e0) % 34.13/9.86 | % 34.13/9.86 | Simplifying 297 yields: % 34.13/9.86 | (4) ~ (e4 = e0) % 34.13/9.86 | % 34.13/9.86 | Equations (2307) can reduce 526 to: % 34.13/9.86 | (333) ~ (e3 = e0) % 34.13/9.86 | % 34.13/9.86 | Simplifying 333 yields: % 34.13/9.86 | (70) ~ (e3 = e0) % 34.13/9.86 | % 34.13/9.86 | Equations (2307) can reduce 594 to: % 34.13/9.86 | (335) ~ (e2 = e0) % 34.13/9.86 | % 34.13/9.86 | Simplifying 335 yields: % 34.13/9.86 | (51) ~ (e2 = e0) % 34.13/9.86 | % 34.13/9.86 | From (2307) and (125) follows: % 34.13/9.86 | (8998) op(e0, e0) = all_0_31_31 % 34.13/9.86 | % 34.13/9.86 +-Applying beta-rule and splitting (588), into two cases. % 34.13/9.86 |-Branch one: % 34.13/9.86 | (589) all_0_57_57 = e1 % 34.13/9.86 | % 34.13/9.86 | Equations (589) can reduce 202 to: % 34.13/9.86 | (605) ~ (e4 = e1) % 34.13/9.86 | % 34.13/9.86 | Simplifying 605 yields: % 34.13/9.86 | (247) ~ (e4 = e1) % 34.13/9.86 | % 34.13/9.86 | Equations (589) can reduce 2590 to: % 34.13/9.86 | (465) ~ (e3 = e1) % 34.13/9.86 | % 34.13/9.86 | Simplifying 465 yields: % 34.13/9.86 | (136) ~ (e3 = e1) % 34.13/9.86 | % 34.13/9.86 | Equations (589) can reduce 377 to: % 34.13/9.86 | (565) ~ (e2 = e1) % 34.13/9.86 | % 34.13/9.86 | Simplifying 565 yields: % 34.13/9.86 | (144) ~ (e2 = e1) % 34.13/9.86 | % 34.13/9.86 | Equations (589) can reduce 2273 to: % 34.13/9.86 | (134) ~ (e1 = e0) % 34.13/9.86 | % 34.13/9.86 | From (589) and (35) follows: % 34.13/9.86 | (3953) op(e1, e3) = all_0_34_34 % 34.13/9.86 | % 34.13/9.86 | From (589) and (5) follows: % 34.13/9.86 | (18183) op(e0, e3) = e1 % 34.13/9.86 | % 34.13/9.86 | Instantiating formula (29) with e4, e4, all_0_16_16, all_0_5_5 and discharging atoms op(e4, e4) = all_0_5_5, op(e4, e4) = all_0_16_16, yields: % 34.13/9.86 | (5543) all_0_5_5 = all_0_16_16 % 34.13/9.86 | % 34.13/9.86 | Instantiating formula (29) with e4, e4, e1, all_0_5_5 and discharging atoms op(e4, e4) = all_0_5_5, op(e4, e4) = e1, yields: % 34.13/9.86 | (18747) all_0_5_5 = e1 % 34.13/9.86 | % 34.13/9.86 | Instantiating formula (29) with e1, e3, all_0_34_34, e3 and discharging atoms op(e1, e3) = all_0_34_34, op(e1, e3) = e3, yields: % 34.13/9.86 | (3957) all_0_34_34 = e3 % 34.13/9.86 | % 34.13/9.86 | Instantiating formula (29) with e1, e1, all_0_20_20, e0 and discharging atoms op(e1, e1) = all_0_20_20, op(e1, e1) = e0, yields: % 34.13/9.86 | (3327) all_0_20_20 = e0 % 34.13/9.86 | % 34.13/9.86 | Instantiating formula (29) with e0, e3, e1, all_0_18_18 and discharging atoms op(e0, e3) = all_0_18_18, op(e0, e3) = e1, yields: % 34.13/9.86 | (18206) all_0_18_18 = e1 % 34.13/9.86 | % 34.13/9.86 | Instantiating formula (29) with e0, e0, all_0_31_31, e4 and discharging atoms op(e0, e0) = all_0_31_31, op(e0, e0) = e4, yields: % 34.13/9.86 | (18207) all_0_31_31 = e4 % 34.13/9.86 | % 34.13/9.86 | Combining equations (5543,18747) yields a new equation: % 34.13/9.86 | (18752) all_0_16_16 = e1 % 34.13/9.86 | % 34.13/9.86 | Simplifying 18752 yields: % 34.13/9.86 | (15573) all_0_16_16 = e1 % 34.13/9.86 | % 34.13/9.86 +-Applying beta-rule and splitting (181), into two cases. % 34.13/9.86 |-Branch one: % 34.13/9.86 | (3497) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_51_51 = all_0_58_58)) % 34.13/9.86 | % 34.13/9.86 +-Applying beta-rule and splitting (3497), into two cases. % 34.13/9.86 |-Branch one: % 34.13/9.86 | (3498) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57)) % 34.13/9.86 | % 34.13/9.86 +-Applying beta-rule and splitting (3498), into two cases. % 34.13/9.86 |-Branch one: % 34.13/9.86 | (3499) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) % 34.13/9.86 | % 34.13/9.86 +-Applying beta-rule and splitting (3499), into two cases. % 34.13/9.86 |-Branch one: % 34.13/9.86 | (3500) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) % 34.13/9.86 | % 34.13/9.86 +-Applying beta-rule and splitting (3500), into two cases. % 34.13/9.86 |-Branch one: % 34.13/9.86 | (3501) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) % 34.13/9.86 | % 34.13/9.86 +-Applying beta-rule and splitting (3501), into two cases. % 34.13/9.86 |-Branch one: % 34.13/9.86 | (3502) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) % 34.13/9.86 | % 34.13/9.86 +-Applying beta-rule and splitting (3502), into two cases. % 34.13/9.86 |-Branch one: % 34.13/9.87 | (3503) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) % 34.13/9.87 | % 34.13/9.87 +-Applying beta-rule and splitting (3503), into two cases. % 34.13/9.87 |-Branch one: % 34.13/9.87 | (3504) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) % 34.13/9.87 | % 34.13/9.87 +-Applying beta-rule and splitting (3504), into two cases. % 34.13/9.87 |-Branch one: % 34.13/9.87 | (3505) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) % 34.13/9.87 | % 34.13/9.87 +-Applying beta-rule and splitting (3505), into two cases. % 34.13/9.87 |-Branch one: % 34.13/9.87 | (3506) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) % 34.13/9.87 | % 34.13/9.87 +-Applying beta-rule and splitting (3506), into two cases. % 34.13/9.87 |-Branch one: % 34.13/9.87 | (3507) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) % 34.13/9.87 | % 34.13/9.87 +-Applying beta-rule and splitting (3507), into two cases. % 34.13/9.87 |-Branch one: % 34.13/9.87 | (3508) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) % 34.13/9.87 | % 34.13/9.87 +-Applying beta-rule and splitting (3508), into two cases. % 34.13/9.87 |-Branch one: % 34.13/9.87 | (3509) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) % 34.13/9.87 | % 34.13/9.87 +-Applying beta-rule and splitting (3509), into two cases. % 34.13/9.87 |-Branch one: % 34.13/9.87 | (3510) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) % 34.13/9.87 | % 34.13/9.87 +-Applying beta-rule and splitting (3510), into two cases. % 34.13/9.87 |-Branch one: % 34.13/9.87 | (3511) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) % 34.13/9.87 | % 34.13/9.87 +-Applying beta-rule and splitting (3511), into two cases. % 34.13/9.87 |-Branch one: % 34.13/9.87 | (3512) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) % 34.13/9.87 | % 34.13/9.87 +-Applying beta-rule and splitting (3512), into two cases. % 34.13/9.87 |-Branch one: % 34.13/9.87 | (3513) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) % 34.13/9.87 | % 34.13/9.87 +-Applying beta-rule and splitting (3513), into two cases. % 34.13/9.87 |-Branch one: % 34.13/9.87 | (3514) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45) % 34.13/9.87 | % 34.13/9.87 | Applying alpha-rule on (3514) yields: % 34.13/9.87 | (3515) all_0_2_2 = e4 % 34.13/9.87 | (3516) ~ (all_0_1_1 = e3) % 34.13/9.87 | (3517) ~ (all_0_41_41 = all_0_45_45) % 34.13/9.87 | % 34.13/9.87 | Combining equations (3515,5541) yields a new equation: % 34.13/9.87 | (1573) e4 = e0 % 34.13/9.87 | % 34.13/9.87 | Simplifying 1573 yields: % 34.13/9.87 | (654) e4 = e0 % 34.13/9.87 | % 34.13/9.87 | Equations (654) can reduce 4 to: % 34.13/9.87 | (303) $false % 34.13/9.87 | % 34.13/9.87 |-The branch is then unsatisfiable % 34.13/9.87 |-Branch two: % 34.13/9.87 | (3521) all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48) % 34.13/9.87 | % 34.13/9.87 | Applying alpha-rule on (3521) yields: % 34.13/9.87 | (356) all_0_4_4 = e4 % 34.13/9.87 | (3523) ~ (all_0_3_3 = e2) % 34.13/9.87 | (3524) ~ (all_0_42_42 = all_0_48_48) % 34.13/9.87 | % 34.13/9.87 | Combining equations (356,12421) yields a new equation: % 34.13/9.87 | (878) e4 = e2 % 34.13/9.87 | % 34.13/9.87 | Simplifying 878 yields: % 34.13/9.87 | (470) e4 = e2 % 34.13/9.87 | % 34.13/9.87 | Equations (470) can reduce 231 to: % 34.13/9.87 | (303) $false % 34.13/9.87 | % 34.13/9.87 |-The branch is then unsatisfiable % 34.13/9.87 |-Branch two: % 34.13/9.87 | (3526) all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52) % 34.13/9.87 | % 34.13/9.87 | Applying alpha-rule on (3526) yields: % 34.13/9.87 | (3527) all_0_6_6 = e4 % 34.13/9.87 | (3528) ~ (all_0_5_5 = e1) % 34.13/9.87 | (3529) ~ (all_0_43_43 = all_0_52_52) % 34.13/9.87 | % 34.13/9.87 | Equations (18747) can reduce 3528 to: % 34.13/9.87 | (303) $false % 34.13/9.87 | % 34.13/9.87 |-The branch is then unsatisfiable % 34.13/9.87 |-Branch two: % 34.13/9.87 | (3533) all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56) % 34.13/9.87 | % 34.13/9.87 | Applying alpha-rule on (3533) yields: % 34.13/9.87 | (3534) all_0_8_8 = e4 % 34.13/9.87 | (3535) ~ (all_0_7_7 = e0) % 34.13/9.87 | (3536) ~ (all_0_44_44 = all_0_56_56) % 34.13/9.87 | % 34.13/9.87 | Combining equations (3534,10944) yields a new equation: % 34.13/9.87 | (1573) e4 = e0 % 34.13/9.87 | % 34.13/9.87 | Simplifying 1573 yields: % 34.13/9.87 | (654) e4 = e0 % 34.13/9.87 | % 34.13/9.87 | Equations (654) can reduce 4 to: % 34.13/9.87 | (303) $false % 34.13/9.87 | % 34.13/9.87 |-The branch is then unsatisfiable % 34.13/9.87 |-Branch two: % 34.13/9.87 | (3538) all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45) % 34.13/9.87 | % 34.13/9.87 | Applying alpha-rule on (3538) yields: % 34.13/9.87 | (3539) all_0_10_10 = e3 % 34.13/9.87 | (3540) ~ (all_0_9_9 = e4) % 34.13/9.87 | (3517) ~ (all_0_41_41 = all_0_45_45) % 34.13/9.87 | % 34.13/9.87 | Equations (6284) can reduce 3540 to: % 34.13/9.87 | (303) $false % 34.13/9.87 | % 34.13/9.87 |-The branch is then unsatisfiable % 34.13/9.87 |-Branch two: % 34.13/9.87 | (3545) all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53) % 34.13/9.87 | % 34.13/9.87 | Applying alpha-rule on (3545) yields: % 34.13/9.87 | (3546) all_0_12_12 = e3 % 34.13/9.87 | (3547) ~ (all_0_11_11 = e1) % 34.13/9.87 | (3548) ~ (all_0_46_46 = all_0_53_53) % 34.13/9.87 | % 34.13/9.87 | Combining equations (3546,3272) yields a new equation: % 34.13/9.87 | (680) e3 = e1 % 34.13/9.87 | % 34.13/9.87 | Simplifying 680 yields: % 34.13/9.87 | (601) e3 = e1 % 34.13/9.87 | % 34.13/9.87 | Equations (601) can reduce 136 to: % 34.13/9.87 | (303) $false % 34.13/9.87 | % 34.13/9.87 |-The branch is then unsatisfiable % 34.13/9.87 |-Branch two: % 34.13/9.87 | (3552) all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57) % 34.13/9.87 | % 34.13/9.87 | Applying alpha-rule on (3552) yields: % 34.13/9.87 | (3553) all_0_14_14 = e3 % 34.13/9.87 | (3554) ~ (all_0_13_13 = e0) % 34.13/9.87 | (3555) ~ (all_0_47_47 = all_0_57_57) % 34.13/9.87 | % 34.13/9.88 | Combining equations (3553,17923) yields a new equation: % 34.13/9.88 | (443) e4 = e3 % 34.13/9.88 | % 34.13/9.88 | Equations (443) can reduce 30 to: % 34.13/9.88 | (303) $false % 34.13/9.88 | % 34.13/9.88 |-The branch is then unsatisfiable % 34.13/9.88 |-Branch two: % 34.13/9.88 | (3557) all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48) % 34.13/9.88 | % 34.13/9.88 | Applying alpha-rule on (3557) yields: % 34.13/9.88 | (3558) all_0_16_16 = e2 % 34.13/9.88 | (3559) ~ (all_0_15_15 = e4) % 34.13/9.88 | (3524) ~ (all_0_42_42 = all_0_48_48) % 34.13/9.88 | % 34.13/9.88 | Combining equations (3558,15573) yields a new equation: % 34.13/9.88 | (584) e2 = e1 % 34.13/9.88 | % 34.13/9.88 | Simplifying 584 yields: % 34.13/9.88 | (585) e2 = e1 % 34.13/9.88 | % 34.13/9.88 | Equations (585) can reduce 144 to: % 34.13/9.88 | (303) $false % 34.13/9.88 | % 34.13/9.88 |-The branch is then unsatisfiable % 34.13/9.88 |-Branch two: % 34.13/9.88 | (3562) all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1) % 34.13/9.88 | % 34.13/9.88 | Applying alpha-rule on (3562) yields: % 34.13/9.88 | (3563) all_0_18_18 = e2 % 34.13/9.88 | (3564) ~ (all_0_17_17 = e3) % 34.13/9.88 | (506) ~ (all_0_49_49 = e1) % 34.13/9.88 | % 34.13/9.88 | Combining equations (3563,18206) yields a new equation: % 34.13/9.88 | (584) e2 = e1 % 34.13/9.88 | % 34.13/9.88 | Simplifying 584 yields: % 34.13/9.88 | (585) e2 = e1 % 34.13/9.88 | % 34.13/9.88 | Equations (585) can reduce 144 to: % 34.13/9.88 | (303) $false % 34.13/9.88 | % 34.13/9.88 |-The branch is then unsatisfiable % 34.13/9.88 |-Branch two: % 34.13/9.88 | (3567) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54) % 34.13/9.88 | % 34.13/9.88 | Applying alpha-rule on (3567) yields: % 34.13/9.88 | (3568) all_0_20_20 = e2 % 34.13/9.88 | (3569) ~ (all_0_19_19 = e1) % 34.13/9.88 | (3570) ~ (all_0_50_50 = all_0_54_54) % 34.13/9.88 | % 34.13/9.88 | Combining equations (3568,3327) yields a new equation: % 34.13/9.88 | (403) e2 = e0 % 34.13/9.88 | % 34.13/9.88 | Simplifying 403 yields: % 34.13/9.88 | (385) e2 = e0 % 34.13/9.88 | % 34.13/9.88 | Equations (385) can reduce 51 to: % 34.13/9.88 | (303) $false % 34.13/9.88 | % 34.13/9.88 |-The branch is then unsatisfiable % 34.13/9.88 |-Branch two: % 34.13/9.88 | (3574) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58) % 34.13/9.88 | % 34.13/9.88 | Applying alpha-rule on (3574) yields: % 34.13/9.88 | (3575) all_0_22_22 = e2 % 34.13/9.88 | (3576) ~ (all_0_21_21 = e0) % 34.13/9.88 | (3577) ~ (all_0_51_51 = all_0_58_58) % 34.13/9.88 | % 34.13/9.88 | Equations (927,340) can reduce 3577 to: % 34.13/9.88 | (303) $false % 34.13/9.88 | % 34.13/9.88 |-The branch is then unsatisfiable % 34.13/9.88 |-Branch two: % 34.13/9.88 | (3579) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52) % 34.13/9.88 | % 34.13/9.88 | Applying alpha-rule on (3579) yields: % 34.13/9.88 | (3580) all_0_24_24 = e1 % 34.13/9.88 | (3581) ~ (all_0_23_23 = e4) % 34.13/9.88 | (3529) ~ (all_0_43_43 = all_0_52_52) % 34.13/9.88 | % 34.13/9.88 | Combining equations (3580,18701) yields a new equation: % 34.13/9.88 | (541) e4 = e1 % 34.13/9.88 | % 34.13/9.88 | Equations (541) can reduce 247 to: % 34.13/9.88 | (303) $false % 34.13/9.88 | % 34.13/9.88 |-The branch is then unsatisfiable % 34.13/9.88 |-Branch two: % 34.13/9.88 | (3584) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53) % 34.13/9.88 | % 34.13/9.88 | Applying alpha-rule on (3584) yields: % 34.13/9.88 | (3585) all_0_26_26 = e1 % 34.13/9.88 | (3586) ~ (all_0_25_25 = e3) % 34.13/9.88 | (3548) ~ (all_0_46_46 = all_0_53_53) % 34.13/9.88 | % 34.13/9.88 | Combining equations (3585,2620) yields a new equation: % 34.13/9.88 | (541) e4 = e1 % 34.13/9.88 | % 34.13/9.88 | Equations (541) can reduce 247 to: % 34.13/9.88 | (303) $false % 34.13/9.88 | % 34.13/9.88 |-The branch is then unsatisfiable % 34.13/9.88 |-Branch two: % 34.13/9.88 | (3641) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54) % 34.13/9.88 | % 34.13/9.88 | Applying alpha-rule on (3641) yields: % 34.13/9.88 | (3642) all_0_28_28 = e1 % 34.13/9.88 | (3643) ~ (all_0_27_27 = e2) % 34.13/9.88 | (3570) ~ (all_0_50_50 = all_0_54_54) % 34.13/9.88 | % 34.13/9.88 | Combining equations (3642,12394) yields a new equation: % 34.13/9.88 | (670) e1 = e0 % 34.13/9.88 | % 34.13/9.88 | Simplifying 670 yields: % 34.13/9.88 | (590) e1 = e0 % 34.13/9.88 | % 34.13/9.88 | Equations (590) can reduce 134 to: % 34.13/9.88 | (303) $false % 34.13/9.88 | % 34.13/9.88 |-The branch is then unsatisfiable % 34.13/9.88 |-Branch two: % 34.13/9.88 | (3647) all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59) % 34.13/9.88 | % 34.13/9.88 | Applying alpha-rule on (3647) yields: % 34.13/9.88 | (3648) all_0_30_30 = e1 % 34.13/9.88 | (3649) ~ (all_0_29_29 = e0) % 34.13/9.88 | (3650) ~ (all_0_55_55 = all_0_59_59) % 34.13/9.88 | % 34.13/9.88 | Equations (15604) can reduce 3649 to: % 34.13/9.88 | (303) $false % 34.13/9.88 | % 34.13/9.88 |-The branch is then unsatisfiable % 34.13/9.88 |-Branch two: % 34.13/9.88 | (3652) all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56) % 34.13/9.88 | % 34.13/9.88 | Applying alpha-rule on (3652) yields: % 34.13/9.88 | (3653) all_0_32_32 = e0 % 34.13/9.88 | (3654) ~ (all_0_31_31 = e4) % 34.13/9.88 | (3536) ~ (all_0_44_44 = all_0_56_56) % 34.13/9.88 | % 34.13/9.89 | Equations (18207) can reduce 3654 to: % 34.13/9.89 | (303) $false % 34.13/9.89 | % 34.13/9.89 |-The branch is then unsatisfiable % 34.13/9.89 |-Branch two: % 34.13/9.89 | (3657) all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57) % 34.13/9.89 | % 34.13/9.89 | Applying alpha-rule on (3657) yields: % 34.13/9.89 | (421) all_0_34_34 = e0 % 34.13/9.89 | (3659) ~ (all_0_33_33 = e3) % 34.13/9.89 | (3555) ~ (all_0_47_47 = all_0_57_57) % 34.13/9.89 | % 34.13/9.89 | Combining equations (3957,421) yields a new equation: % 34.13/9.89 | (496) e3 = e0 % 34.13/9.89 | % 34.13/9.89 | Simplifying 496 yields: % 34.13/9.89 | (497) e3 = e0 % 34.13/9.89 | % 34.13/9.89 | Equations (497) can reduce 70 to: % 34.13/9.89 | (303) $false % 34.13/9.89 | % 34.13/9.89 |-The branch is then unsatisfiable % 34.13/9.89 |-Branch two: % 34.13/9.89 | (3662) all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_51_51 = all_0_58_58) % 34.13/9.89 | % 34.13/9.89 | Applying alpha-rule on (3662) yields: % 34.13/9.89 | (354) all_0_36_36 = e0 % 34.13/9.89 | (3664) ~ (all_0_35_35 = e2) % 34.13/9.89 | (3577) ~ (all_0_51_51 = all_0_58_58) % 34.13/9.89 | % 34.13/9.89 | Combining equations (12418,354) yields a new equation: % 34.13/9.89 | (496) e3 = e0 % 34.13/9.89 | % 34.13/9.89 | Simplifying 496 yields: % 34.13/9.89 | (497) e3 = e0 % 34.13/9.89 | % 34.13/9.89 | Equations (497) can reduce 70 to: % 34.13/9.89 | (303) $false % 34.13/9.89 | % 34.13/9.89 |-The branch is then unsatisfiable % 34.13/9.89 |-Branch two: % 34.13/9.89 | (3667) all_0_38_38 = e0 & ~ (all_0_37_37 = e1) & ~ (all_0_55_55 = all_0_59_59) % 34.13/9.89 | % 34.13/9.89 | Applying alpha-rule on (3667) yields: % 34.13/9.89 | (3668) all_0_38_38 = e0 % 34.13/9.89 | (3669) ~ (all_0_37_37 = e1) % 34.13/9.89 | (3650) ~ (all_0_55_55 = all_0_59_59) % 34.13/9.89 | % 34.13/9.89 | Combining equations (5549,3668) yields a new equation: % 34.13/9.89 | (403) e2 = e0 % 34.13/9.89 | % 34.13/9.89 | Simplifying 403 yields: % 34.13/9.89 | (385) e2 = e0 % 34.13/9.89 | % 34.13/9.89 | Equations (385) can reduce 51 to: % 34.13/9.89 | (303) $false % 34.13/9.89 | % 34.13/9.89 |-The branch is then unsatisfiable % 34.13/9.89 |-Branch two: % 34.13/9.89 | (592) ~ (all_0_57_57 = e1) % 34.13/9.89 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 34.13/9.89 | % 34.13/9.89 +-Applying beta-rule and splitting (593), into two cases. % 34.13/9.89 |-Branch one: % 34.13/9.89 | (600) all_0_59_59 = e1 % 34.13/9.89 | % 34.13/9.89 | Combining equations (456,600) yields a new equation: % 34.13/9.89 | (680) e3 = e1 % 34.13/9.89 | % 34.13/9.89 | Simplifying 680 yields: % 34.13/9.89 | (601) e3 = e1 % 34.13/9.89 | % 34.13/9.89 | Equations (601) can reduce 136 to: % 34.13/9.89 | (303) $false % 34.13/9.89 | % 34.13/9.89 |-The branch is then unsatisfiable % 34.13/9.89 |-Branch two: % 34.13/9.89 | (603) ~ (all_0_59_59 = e1) % 34.13/9.89 | (604) all_0_60_60 = e1 % 34.13/9.89 | % 34.13/9.89 | Combining equations (1510,604) yields a new equation: % 34.13/9.89 | (540) e4 = e1 % 34.13/9.89 | % 34.13/9.89 | Simplifying 540 yields: % 34.13/9.89 | (541) e4 = e1 % 34.13/9.89 | % 34.13/9.89 | Equations (541) can reduce 247 to: % 34.13/9.89 | (303) $false % 34.13/9.89 | % 34.13/9.89 |-The branch is then unsatisfiable % 34.13/9.89 |-Branch two: % 34.13/9.89 | (296) ~ (all_0_56_56 = e0) % 34.13/9.89 | (2310) all_0_57_57 = e0 | all_0_58_58 = e0 | all_0_60_60 = e0 % 34.13/9.89 | % 34.13/9.89 +-Applying beta-rule and splitting (141), into two cases. % 34.13/9.89 |-Branch one: % 34.13/9.89 | (580) all_0_56_56 = e2 % 34.13/9.89 | % 34.13/9.89 | Equations (580) can reduce 594 to: % 34.13/9.89 | (303) $false % 34.13/9.89 | % 34.13/9.89 |-The branch is then unsatisfiable % 34.13/9.89 |-Branch two: % 34.13/9.89 | (594) ~ (all_0_56_56 = e2) % 34.13/9.89 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 34.13/9.89 | % 34.13/9.89 +-Applying beta-rule and splitting (56), into two cases. % 34.13/9.89 |-Branch one: % 34.13/9.89 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 34.13/9.89 | % 34.13/9.89 +-Applying beta-rule and splitting (480), into two cases. % 34.13/9.89 |-Branch one: % 34.13/9.89 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 34.13/9.89 | % 34.13/9.89 +-Applying beta-rule and splitting (481), into two cases. % 34.13/9.89 |-Branch one: % 34.13/9.89 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 34.13/9.89 | % 34.13/9.89 +-Applying beta-rule and splitting (482), into two cases. % 34.13/9.89 |-Branch one: % 34.13/9.89 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 34.13/9.89 | % 34.13/9.89 | Applying alpha-rule on (483) yields: % 34.13/9.89 | (484) ~ (unit = e4) % 34.13/9.89 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 34.13/9.89 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 34.13/9.89 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 34.13/9.89 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 34.13/9.89 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 34.13/9.89 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 34.13/9.89 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 34.13/9.89 | (492) ~ (all_0_55_55 = e4) % 34.13/9.89 | (493) all_0_45_45 = e3 % 34.13/9.89 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 34.13/9.89 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 34.13/9.89 | % 34.13/9.89 +-Applying beta-rule and splitting (487), into two cases. % 34.13/9.89 |-Branch one: % 34.13/9.89 | (350) ~ (all_0_60_60 = e4) % 34.13/9.89 | % 34.13/9.89 | Equations (1510) can reduce 350 to: % 34.13/9.89 | (303) $false % 34.13/9.89 | % 34.13/9.89 |-The branch is then unsatisfiable % 34.13/9.89 |-Branch two: % 34.13/9.89 | (1510) all_0_60_60 = e4 % 34.13/9.89 | (2307) all_0_56_56 = e0 % 34.13/9.89 | % 34.13/9.89 | Equations (2307) can reduce 296 to: % 34.13/9.89 | (303) $false % 34.13/9.89 | % 34.13/9.89 |-The branch is then unsatisfiable % 34.13/9.89 |-Branch two: % 34.13/9.89 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 34.13/9.89 | % 34.13/9.89 | Applying alpha-rule on (499) yields: % 34.13/9.89 | (500) ~ (all_0_51_51 = e1) % 34.13/9.89 | (501) ~ (all_0_60_60 = e1) % 34.13/9.89 | (502) ~ (all_0_52_52 = e1) % 34.13/9.89 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 34.13/9.89 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 34.13/9.89 | (252) all_0_46_46 = e2 % 34.13/9.89 | (506) ~ (all_0_49_49 = e1) % 34.13/9.89 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 34.13/9.89 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 34.13/9.89 | (509) ~ (all_0_53_53 = e1) % 34.13/9.89 | (510) ~ (unit = e1) % 34.13/9.89 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 34.13/9.89 | (512) ~ (all_0_44_44 = e1) % 34.13/9.89 | % 34.13/9.89 | Equations (994) can reduce 509 to: % 34.13/9.89 | (136) ~ (e3 = e1) % 34.13/9.89 | % 34.13/9.89 | Equations (1510) can reduce 501 to: % 34.13/9.89 | (247) ~ (e4 = e1) % 34.13/9.89 | % 34.13/9.89 +-Applying beta-rule and splitting (979), into two cases. % 34.13/9.89 |-Branch one: % 34.13/9.89 | (877) all_0_56_56 = e4 % 34.13/9.89 | % 34.13/9.89 | Equations (877) can reduce 345 to: % 34.13/9.89 | (303) $false % 34.13/9.89 | % 34.13/9.89 |-The branch is then unsatisfiable % 34.13/9.89 |-Branch two: % 34.13/9.89 | (345) ~ (all_0_56_56 = e4) % 34.13/9.89 | (2325) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 34.13/9.89 | % 34.13/9.89 +-Applying beta-rule and splitting (588), into two cases. % 34.13/9.89 |-Branch one: % 34.13/9.89 | (589) all_0_57_57 = e1 % 34.13/9.89 | % 34.13/9.89 | Equations (589) can reduce 172 to: % 34.13/9.89 | (587) ~ (all_0_56_56 = e1) % 34.13/9.89 | % 34.13/9.89 +-Applying beta-rule and splitting (2325), into two cases. % 34.13/9.89 |-Branch one: % 34.13/9.89 | (583) all_0_56_56 = e1 % 34.13/9.89 | % 34.13/9.89 | Equations (583) can reduce 587 to: % 34.13/9.89 | (303) $false % 34.13/9.89 | % 34.13/9.89 |-The branch is then unsatisfiable % 34.13/9.89 |-Branch two: % 34.13/9.89 | (587) ~ (all_0_56_56 = e1) % 34.13/9.89 | (2329) all_0_56_56 = e3 | all_0_56_56 = e0 % 34.13/9.89 | % 34.13/9.89 +-Applying beta-rule and splitting (2329), into two cases. % 34.13/9.89 |-Branch one: % 34.13/9.89 | (2307) all_0_56_56 = e0 % 34.13/9.89 | % 34.13/9.89 | Equations (2307) can reduce 296 to: % 34.13/9.89 | (303) $false % 34.13/9.89 | % 34.13/9.89 |-The branch is then unsatisfiable % 34.13/9.89 |-Branch two: % 34.13/9.89 | (296) ~ (all_0_56_56 = e0) % 34.13/9.89 | (1111) all_0_56_56 = e3 % 34.13/9.89 | % 34.13/9.89 | Equations (1111) can reduce 526 to: % 34.13/9.89 | (303) $false % 34.13/9.89 | % 34.13/9.89 |-The branch is then unsatisfiable % 34.13/9.89 |-Branch two: % 34.13/9.89 | (592) ~ (all_0_57_57 = e1) % 34.13/9.89 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 34.13/9.89 | % 34.13/9.89 +-Applying beta-rule and splitting (593), into two cases. % 34.13/9.89 |-Branch one: % 34.13/9.89 | (600) all_0_59_59 = e1 % 34.13/9.89 | % 34.13/9.89 | Combining equations (600,456) yields a new equation: % 34.13/9.89 | (601) e3 = e1 % 34.13/9.89 | % 34.13/9.89 | Equations (601) can reduce 136 to: % 34.13/9.89 | (303) $false % 34.13/9.89 | % 34.13/9.89 |-The branch is then unsatisfiable % 34.13/9.89 |-Branch two: % 34.13/9.89 | (603) ~ (all_0_59_59 = e1) % 34.13/9.89 | (604) all_0_60_60 = e1 % 34.13/9.89 | % 34.13/9.89 | Combining equations (604,1510) yields a new equation: % 34.13/9.89 | (541) e4 = e1 % 34.13/9.89 | % 34.13/9.89 | Equations (541) can reduce 247 to: % 34.13/9.89 | (303) $false % 34.13/9.89 | % 34.13/9.89 |-The branch is then unsatisfiable % 34.13/9.89 |-Branch two: % 34.13/9.89 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 34.13/9.89 | % 34.13/9.89 | Applying alpha-rule on (514) yields: % 34.13/9.89 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 34.13/9.89 | (516) ~ (all_0_47_47 = e3) % 34.13/9.89 | (314) ~ (all_0_55_55 = e3) % 34.13/9.89 | (368) all_0_49_49 = e2 % 34.13/9.89 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 34.13/9.89 | (520) ~ (unit = e3) % 34.13/9.89 | (521) ~ (all_0_52_52 = e3) % 34.13/9.89 | (455) ~ (all_0_46_46 = e3) % 34.13/9.89 | (432) ~ (all_0_40_40 = e3) % 34.13/9.89 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 34.13/9.89 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 34.13/9.89 | (526) ~ (all_0_56_56 = e3) % 34.13/9.89 | % 34.13/9.89 | Combining equations (368,384) yields a new equation: % 34.13/9.89 | (403) e2 = e0 % 34.13/9.89 | % 34.13/9.89 | Simplifying 403 yields: % 34.13/9.89 | (385) e2 = e0 % 34.13/9.89 | % 34.13/9.89 | Equations (385) can reduce 51 to: % 34.13/9.89 | (303) $false % 34.13/9.89 | % 34.13/9.89 |-The branch is then unsatisfiable % 34.13/9.89 |-Branch two: % 34.13/9.89 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 34.13/9.89 | % 34.13/9.89 | Applying alpha-rule on (528) yields: % 34.13/9.89 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 34.13/9.89 | (530) all_0_55_55 = e1 % 34.13/9.89 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 34.13/9.89 | (387) ~ (all_0_49_49 = e0) % 34.13/9.89 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 34.13/9.89 | (534) ~ (all_0_45_45 = e0) % 34.13/9.89 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 34.13/9.89 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 34.13/9.89 | (537) ~ (unit = e0) % 34.13/9.89 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 34.13/9.89 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 34.13/9.89 | % 34.13/9.89 | Equations (384) can reduce 387 to: % 34.13/9.89 | (303) $false % 34.13/9.89 | % 34.13/9.89 |-The branch is then unsatisfiable % 34.13/9.89 |-Branch two: % 34.13/9.89 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 34.13/9.89 | % 34.13/9.89 | Applying alpha-rule on (543) yields: % 34.13/9.89 | (544) ~ (all_0_48_48 = e2) % 34.13/9.89 | (369) ~ (all_0_41_41 = e2) % 34.13/9.89 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 34.13/9.89 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 34.13/9.89 | (253) ~ (all_0_43_43 = e2) % 34.21/9.89 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 34.21/9.89 | (276) ~ (all_0_55_55 = e2) % 34.21/9.89 | (260) ~ (all_0_59_59 = e2) % 34.21/9.89 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 34.21/9.89 | (274) ~ (all_0_53_53 = e2) % 34.21/9.89 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 34.21/9.89 | (373) ~ (all_0_51_51 = e2) % 34.21/9.89 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 34.21/9.89 | (256) ~ (all_0_47_47 = e2) % 34.21/9.89 | (377) ~ (all_0_57_57 = e2) % 34.21/9.89 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 34.21/9.89 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 34.21/9.89 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 34.21/9.89 | (258) ~ (all_0_50_50 = e2) % 34.21/9.89 | (254) ~ (all_0_45_45 = e2) % 34.21/9.89 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 34.21/9.89 | % 34.21/9.89 | Equations (927) can reduce 373 to: % 34.21/9.89 | (303) $false % 34.21/9.89 | % 34.21/9.89 |-The branch is then unsatisfiable % 34.21/9.90 |-Branch two: % 34.21/9.90 | (387) ~ (all_0_49_49 = e0) % 34.21/9.90 | (388) all_0_51_51 = e0 % 34.21/9.90 | % 34.21/9.90 | Combining equations (927,388) yields a new equation: % 34.21/9.90 | (403) e2 = e0 % 34.21/9.90 | % 34.21/9.90 | Simplifying 403 yields: % 34.21/9.90 | (385) e2 = e0 % 34.21/9.90 | % 34.21/9.90 | Equations (385) can reduce 51 to: % 34.21/9.90 | (303) $false % 34.21/9.90 | % 34.21/9.90 |-The branch is then unsatisfiable % 34.21/9.90 |-Branch two: % 34.21/9.90 | (721) ~ (all_0_48_48 = e4) % 34.21/9.90 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 34.21/9.90 | % 34.21/9.90 +-Applying beta-rule and splitting (196), into two cases. % 34.21/9.90 |-Branch one: % 34.21/9.90 | (723) all_0_40_40 = e4 % 34.21/9.90 | % 34.21/9.90 | Combining equations (624,723) yields a new equation: % 34.21/9.90 | (541) e4 = e1 % 34.21/9.90 | % 34.21/9.90 | Equations (541) can reduce 247 to: % 34.21/9.90 | (303) $false % 34.21/9.90 | % 34.21/9.90 |-The branch is then unsatisfiable % 34.21/9.90 |-Branch two: % 34.21/9.90 | (844) ~ (all_0_40_40 = e4) % 34.21/9.90 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 34.21/9.90 | % 34.21/9.90 | Equations (624) can reduce 844 to: % 34.21/9.90 | (605) ~ (e4 = e1) % 34.21/9.90 | % 34.21/9.90 | Simplifying 605 yields: % 34.21/9.90 | (247) ~ (e4 = e1) % 34.21/9.90 | % 34.21/9.90 +-Applying beta-rule and splitting (722), into two cases. % 34.21/9.90 |-Branch one: % 34.21/9.90 | (714) all_0_50_50 = e4 % 34.21/9.90 | % 34.21/9.90 | Combining equations (714,627) yields a new equation: % 34.21/9.90 | (540) e4 = e1 % 34.21/9.90 | % 34.21/9.90 | Simplifying 540 yields: % 34.21/9.90 | (541) e4 = e1 % 34.21/9.90 | % 34.21/9.90 | Equations (541) can reduce 247 to: % 34.21/9.90 | (303) $false % 34.21/9.90 | % 34.21/9.90 |-The branch is then unsatisfiable % 34.21/9.90 |-Branch two: % 34.21/9.90 | (611) ~ (all_0_50_50 = e4) % 34.21/9.90 | (1501) all_0_51_51 = e4 % 34.21/9.90 | % 34.21/9.90 | Combining equations (1501,927) yields a new equation: % 34.21/9.90 | (878) e4 = e2 % 34.21/9.90 | % 34.21/9.90 | Simplifying 878 yields: % 34.21/9.90 | (470) e4 = e2 % 34.21/9.90 | % 34.21/9.90 | Equations (470) can reduce 231 to: % 34.21/9.90 | (303) $false % 34.21/9.90 | % 34.21/9.90 |-The branch is then unsatisfiable % 34.21/9.90 |-Branch two: % 34.21/9.90 | (683) ~ (all_0_40_40 = e1) % 34.21/9.90 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 34.21/9.90 | % 34.21/9.90 +-Applying beta-rule and splitting (175), into two cases. % 34.21/9.90 |-Branch one: % 34.21/9.90 | (624) all_0_40_40 = e1 % 34.21/9.90 | % 34.21/9.90 | Equations (624) can reduce 683 to: % 34.21/9.90 | (303) $false % 34.21/9.90 | % 34.21/9.90 |-The branch is then unsatisfiable % 34.21/9.90 |-Branch two: % 34.21/9.90 | (683) ~ (all_0_40_40 = e1) % 34.21/9.90 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 34.21/9.90 | % 34.21/9.90 +-Applying beta-rule and splitting (684), into two cases. % 34.21/9.90 |-Branch one: % 34.21/9.90 | (748) all_0_48_48 = e1 % 34.21/9.90 | % 34.21/9.90 | Equations (748) can reduce 802 to: % 34.21/9.90 | (303) $false % 34.21/9.90 | % 34.21/9.90 |-The branch is then unsatisfiable % 34.21/9.90 |-Branch two: % 34.21/9.90 | (802) ~ (all_0_48_48 = e1) % 34.21/9.90 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 34.21/9.90 | % 34.21/9.90 +-Applying beta-rule and splitting (688), into two cases. % 34.21/9.90 |-Branch one: % 34.21/9.90 | (696) all_0_41_41 = e1 % 34.21/9.90 | % 34.21/9.90 | Combining equations (696,945) yields a new equation: % 34.21/9.90 | (585) e2 = e1 % 34.21/9.90 | % 34.21/9.90 | Equations (585) can reduce 144 to: % 34.21/9.90 | (303) $false % 34.21/9.90 | % 34.21/9.90 |-The branch is then unsatisfiable % 34.21/9.90 |-Branch two: % 34.21/9.90 | (699) ~ (all_0_41_41 = e1) % 34.21/9.90 | (700) all_0_43_43 = e1 | all_0_44_44 = e1 % 34.21/9.90 | % 34.21/9.90 | Equations (945) can reduce 699 to: % 34.21/9.90 | (144) ~ (e2 = e1) % 34.21/9.90 | % 34.21/9.90 +-Applying beta-rule and splitting (807), into two cases. % 34.21/9.90 |-Branch one: % 34.21/9.90 | (1070) all_0_52_52 = e1 % 34.21/9.90 | % 34.21/9.90 | Combining equations (1070,980) yields a new equation: % 34.21/9.90 | (585) e2 = e1 % 34.21/9.90 | % 34.21/9.90 | Equations (585) can reduce 144 to: % 34.21/9.90 | (303) $false % 34.21/9.90 | % 34.21/9.90 |-The branch is then unsatisfiable % 34.21/9.90 |-Branch two: % 34.21/9.90 | (502) ~ (all_0_52_52 = e1) % 34.21/9.90 | (583) all_0_56_56 = e1 % 34.21/9.90 | % 34.21/9.90 | Equations (583) can reduce 345 to: % 34.21/9.90 | (605) ~ (e4 = e1) % 34.21/9.90 | % 34.21/9.90 | Simplifying 605 yields: % 34.21/9.90 | (247) ~ (e4 = e1) % 34.21/9.90 | % 34.21/9.90 | Equations (583) can reduce 526 to: % 34.21/9.90 | (465) ~ (e3 = e1) % 34.21/9.90 | % 34.21/9.90 | Simplifying 465 yields: % 34.21/9.90 | (136) ~ (e3 = e1) % 34.21/9.90 | % 34.21/9.90 +-Applying beta-rule and splitting (700), into two cases. % 34.21/9.90 |-Branch one: % 34.21/9.90 | (618) all_0_43_43 = e1 % 34.21/9.90 | % 34.21/9.90 | Combining equations (614,618) yields a new equation: % 34.21/9.90 | (540) e4 = e1 % 34.21/9.90 | % 34.21/9.90 | Simplifying 540 yields: % 34.21/9.90 | (541) e4 = e1 % 34.21/9.90 | % 34.21/9.90 | Equations (541) can reduce 247 to: % 34.21/9.90 | (303) $false % 34.21/9.90 | % 34.21/9.90 |-The branch is then unsatisfiable % 34.21/9.90 |-Branch two: % 34.21/9.90 | (622) ~ (all_0_43_43 = e1) % 34.21/9.90 | (705) all_0_44_44 = e1 % 34.21/9.90 | % 34.21/9.90 | Combining equations (2081,705) yields a new equation: % 34.21/9.90 | (680) e3 = e1 % 34.21/9.90 | % 34.21/9.90 | Simplifying 680 yields: % 34.21/9.90 | (601) e3 = e1 % 34.21/9.90 | % 34.21/9.90 | Equations (601) can reduce 136 to: % 34.21/9.90 | (303) $false % 34.21/9.90 | % 34.21/9.90 |-The branch is then unsatisfiable % 34.21/9.90 |-Branch two: % 34.21/9.90 | (712) ~ (all_0_43_43 = e4) % 34.21/9.90 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 34.21/9.90 | % 34.21/9.90 +-Applying beta-rule and splitting (713), into two cases. % 34.21/9.90 |-Branch one: % 34.21/9.90 | (714) all_0_50_50 = e4 % 34.21/9.90 | % 34.21/9.90 | Combining equations (714,627) yields a new equation: % 34.21/9.90 | (540) e4 = e1 % 34.21/9.90 | % 34.21/9.90 | Simplifying 540 yields: % 34.21/9.90 | (541) e4 = e1 % 34.21/9.90 | % 34.21/9.90 | Equations (541) can reduce 247 to: % 34.21/9.90 | (303) $false % 34.21/9.90 | % 34.21/9.90 |-The branch is then unsatisfiable % 34.21/9.90 |-Branch two: % 34.21/9.90 | (611) ~ (all_0_50_50 = e4) % 34.21/9.90 | (717) all_0_59_59 = e4 % 34.21/9.90 | % 34.21/9.90 | Combining equations (717,456) yields a new equation: % 34.21/9.90 | (718) e4 = e3 % 34.21/9.90 | % 34.21/9.90 | Simplifying 718 yields: % 34.21/9.90 | (443) e4 = e3 % 34.21/9.90 | % 34.21/9.90 | Equations (443) can reduce 30 to: % 34.21/9.90 | (303) $false % 34.21/9.90 | % 34.21/9.90 |-The branch is then unsatisfiable % 34.21/9.90 |-Branch two: % 34.21/9.90 | (678) ~ (all_0_50_50 = e1) % 34.21/9.90 | (600) all_0_59_59 = e1 % 34.21/9.90 | % 34.21/9.90 | Combining equations (456,600) yields a new equation: % 34.21/9.90 | (680) e3 = e1 % 34.21/9.90 | % 34.21/9.90 | Simplifying 680 yields: % 34.21/9.90 | (601) e3 = e1 % 34.21/9.90 | % 34.21/9.90 | Equations (601) can reduce 136 to: % 34.21/9.90 | (303) $false % 34.21/9.90 | % 34.21/9.90 |-The branch is then unsatisfiable % 34.21/9.90 |-Branch two: % 34.21/9.90 | (428) ~ (all_0_53_53 = e3) % 34.21/9.90 | (2165) all_0_55_55 = e3 % 34.21/9.90 | % 34.21/9.90 | Equations (2165) can reduce 314 to: % 34.21/9.90 | (303) $false % 34.21/9.90 | % 34.21/9.90 |-The branch is then unsatisfiable % 34.21/9.90 |-Branch two: % 34.21/9.90 | (273) ~ (all_0_52_52 = e2) % 34.21/9.90 | (1772) all_0_52_52 = e4 | all_0_52_52 = e3 | all_0_52_52 = e1 % 34.21/9.90 | % 34.21/9.90 +-Applying beta-rule and splitting (1772), into two cases. % 34.21/9.90 |-Branch one: % 34.21/9.90 | (442) all_0_52_52 = e4 % 34.21/9.90 | % 34.21/9.90 | Equations (442) can reduce 445 to: % 34.21/9.90 | (303) $false % 34.21/9.90 | % 34.21/9.90 |-The branch is then unsatisfiable % 34.21/9.90 |-Branch two: % 34.21/9.90 | (445) ~ (all_0_52_52 = e4) % 34.21/9.90 | (1795) all_0_52_52 = e3 | all_0_52_52 = e1 % 34.21/9.90 | % 34.21/9.90 +-Applying beta-rule and splitting (1795), into two cases. % 34.21/9.90 |-Branch one: % 34.21/9.90 | (1070) all_0_52_52 = e1 % 34.21/9.90 | % 34.21/9.90 | Equations (1070) can reduce 108 to: % 34.21/9.90 | (802) ~ (all_0_48_48 = e1) % 34.21/9.90 | % 34.21/9.90 | Equations (1070) can reduce 77 to: % 34.21/9.90 | (6422) ~ (all_0_53_53 = e1) % 34.21/9.90 | % 34.21/9.90 | Simplifying 6422 yields: % 34.21/9.90 | (509) ~ (all_0_53_53 = e1) % 34.21/9.90 | % 34.21/9.90 | Equations (1070) can reduce 169 to: % 34.21/9.90 | (463) ~ (all_0_55_55 = e1) % 34.21/9.90 | % 34.21/9.90 | Simplifying 463 yields: % 34.21/9.90 | (464) ~ (all_0_55_55 = e1) % 34.21/9.90 | % 34.21/9.90 +-Applying beta-rule and splitting (363), into two cases. % 34.21/9.90 |-Branch one: % 34.21/9.90 | (462) all_0_53_53 = e1 % 34.21/9.90 | % 34.21/9.90 | Equations (462) can reduce 509 to: % 34.21/9.90 | (303) $false % 34.21/9.90 | % 34.21/9.90 |-The branch is then unsatisfiable % 34.21/9.90 |-Branch two: % 34.21/9.90 | (509) ~ (all_0_53_53 = e1) % 34.21/9.90 | (994) all_0_53_53 = e3 % 34.21/9.90 | % 34.21/9.90 | Equations (994) can reduce 131 to: % 34.21/9.90 | (313) ~ (all_0_55_55 = e3) % 34.21/9.90 | % 34.21/9.90 | Simplifying 313 yields: % 34.21/9.90 | (314) ~ (all_0_55_55 = e3) % 34.21/9.90 | % 34.21/9.90 +-Applying beta-rule and splitting (153), into two cases. % 34.21/9.90 |-Branch one: % 34.21/9.90 | (932) all_0_55_55 = e2 % 34.21/9.90 | % 34.21/9.90 | Equations (932) can reduce 13 to: % 34.21/9.90 | (373) ~ (all_0_51_51 = e2) % 34.21/9.90 | % 34.21/9.90 +-Applying beta-rule and splitting (97), into two cases. % 34.21/9.90 |-Branch one: % 34.21/9.90 | (727) all_0_48_48 = e2 % 34.21/9.90 | % 34.21/9.90 | Equations (727) can reduce 58 to: % 34.21/9.90 | (2170) ~ (all_0_49_49 = e2) % 34.21/9.90 | % 34.21/9.90 | Simplifying 2170 yields: % 34.21/9.90 | (2167) ~ (all_0_49_49 = e2) % 34.21/9.90 | % 34.21/9.90 | Equations (727) can reduce 802 to: % 34.21/9.90 | (144) ~ (e2 = e1) % 34.21/9.90 | % 34.21/9.90 +-Applying beta-rule and splitting (56), into two cases. % 34.21/9.90 |-Branch one: % 34.21/9.90 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 34.21/9.90 | % 34.21/9.90 +-Applying beta-rule and splitting (480), into two cases. % 34.21/9.90 |-Branch one: % 34.21/9.90 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 34.21/9.90 | % 34.21/9.90 +-Applying beta-rule and splitting (481), into two cases. % 34.21/9.90 |-Branch one: % 34.21/9.90 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 34.21/9.90 | % 34.21/9.90 +-Applying beta-rule and splitting (482), into two cases. % 34.21/9.90 |-Branch one: % 34.21/9.90 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 34.21/9.90 | % 34.21/9.90 | Applying alpha-rule on (483) yields: % 34.21/9.90 | (484) ~ (unit = e4) % 34.21/9.90 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 34.21/9.90 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 34.21/9.90 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 34.21/9.90 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 34.21/9.90 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 34.21/9.90 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 34.21/9.90 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 34.21/9.90 | (492) ~ (all_0_55_55 = e4) % 34.21/9.90 | (493) all_0_45_45 = e3 % 34.21/9.90 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 34.21/9.90 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 34.21/9.90 | % 34.21/9.90 +-Applying beta-rule and splitting (485), into two cases. % 34.21/9.90 |-Branch one: % 34.21/9.90 | (472) ~ (all_0_54_54 = e4) % 34.21/9.90 | % 34.21/9.90 | Equations (469) can reduce 472 to: % 34.21/9.90 | (303) $false % 34.21/9.90 | % 34.21/9.90 |-The branch is then unsatisfiable % 34.21/9.90 |-Branch two: % 34.21/9.90 | (469) all_0_54_54 = e4 % 34.21/9.90 | (980) all_0_52_52 = e2 % 34.21/9.90 | % 34.21/9.90 | Combining equations (980,1070) yields a new equation: % 34.21/9.90 | (584) e2 = e1 % 34.21/9.90 | % 34.21/9.90 | Simplifying 584 yields: % 34.21/9.90 | (585) e2 = e1 % 34.21/9.90 | % 34.21/9.90 | Equations (585) can reduce 144 to: % 34.21/9.90 | (303) $false % 34.21/9.90 | % 34.21/9.90 |-The branch is then unsatisfiable % 34.21/9.90 |-Branch two: % 34.21/9.90 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 34.21/9.90 | % 34.21/9.90 | Applying alpha-rule on (499) yields: % 34.21/9.90 | (500) ~ (all_0_51_51 = e1) % 34.21/9.90 | (501) ~ (all_0_60_60 = e1) % 34.21/9.90 | (502) ~ (all_0_52_52 = e1) % 34.21/9.90 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 34.21/9.90 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 34.21/9.90 | (252) all_0_46_46 = e2 % 34.21/9.90 | (506) ~ (all_0_49_49 = e1) % 34.21/9.90 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 34.21/9.90 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 34.21/9.90 | (509) ~ (all_0_53_53 = e1) % 34.21/9.90 | (510) ~ (unit = e1) % 34.21/9.90 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 34.21/9.90 | (512) ~ (all_0_44_44 = e1) % 34.21/9.90 | % 34.21/9.90 | Equations (1070) can reduce 502 to: % 34.21/9.90 | (303) $false % 34.21/9.90 | % 34.21/9.90 |-The branch is then unsatisfiable % 34.21/9.90 |-Branch two: % 34.21/9.90 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 34.21/9.90 | % 34.21/9.90 | Applying alpha-rule on (514) yields: % 34.21/9.90 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 34.21/9.90 | (516) ~ (all_0_47_47 = e3) % 34.21/9.90 | (314) ~ (all_0_55_55 = e3) % 34.21/9.90 | (368) all_0_49_49 = e2 % 34.21/9.90 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 34.21/9.90 | (520) ~ (unit = e3) % 34.21/9.90 | (521) ~ (all_0_52_52 = e3) % 34.21/9.90 | (455) ~ (all_0_46_46 = e3) % 34.21/9.90 | (432) ~ (all_0_40_40 = e3) % 34.21/9.90 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 34.21/9.90 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 34.21/9.90 | (526) ~ (all_0_56_56 = e3) % 34.21/9.90 | % 34.21/9.90 | Equations (368) can reduce 2167 to: % 34.21/9.90 | (303) $false % 34.21/9.90 | % 34.21/9.90 |-The branch is then unsatisfiable % 34.21/9.90 |-Branch two: % 34.21/9.90 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 34.21/9.90 | % 34.21/9.90 | Applying alpha-rule on (528) yields: % 34.21/9.90 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 34.21/9.90 | (530) all_0_55_55 = e1 % 34.21/9.90 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 34.21/9.90 | (387) ~ (all_0_49_49 = e0) % 34.21/9.90 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 34.21/9.90 | (534) ~ (all_0_45_45 = e0) % 34.21/9.90 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 34.21/9.90 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 34.21/9.90 | (537) ~ (unit = e0) % 34.21/9.90 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 34.21/9.90 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 34.21/9.90 | % 34.21/9.90 | Combining equations (932,530) yields a new equation: % 34.21/9.90 | (584) e2 = e1 % 34.21/9.90 | % 34.21/9.90 | Simplifying 584 yields: % 34.21/9.90 | (585) e2 = e1 % 34.21/9.90 | % 34.21/9.90 | Equations (585) can reduce 144 to: % 34.21/9.90 | (303) $false % 34.21/9.90 | % 34.21/9.90 |-The branch is then unsatisfiable % 34.21/9.90 |-Branch two: % 34.21/9.90 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 34.21/9.90 | % 34.21/9.90 | Applying alpha-rule on (543) yields: % 34.21/9.90 | (544) ~ (all_0_48_48 = e2) % 34.21/9.90 | (369) ~ (all_0_41_41 = e2) % 34.21/9.90 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 34.21/9.90 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 34.21/9.90 | (253) ~ (all_0_43_43 = e2) % 34.21/9.90 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 34.21/9.90 | (276) ~ (all_0_55_55 = e2) % 34.21/9.90 | (260) ~ (all_0_59_59 = e2) % 34.21/9.90 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 34.21/9.90 | (274) ~ (all_0_53_53 = e2) % 34.21/9.90 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 34.21/9.91 | (373) ~ (all_0_51_51 = e2) % 34.21/9.91 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 34.21/9.91 | (256) ~ (all_0_47_47 = e2) % 34.21/9.91 | (377) ~ (all_0_57_57 = e2) % 34.21/9.91 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 34.21/9.91 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 34.21/9.91 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 34.21/9.91 | (258) ~ (all_0_50_50 = e2) % 34.21/9.91 | (254) ~ (all_0_45_45 = e2) % 34.21/9.91 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 34.21/9.91 | % 34.21/9.91 | Equations (932) can reduce 276 to: % 34.21/9.91 | (303) $false % 34.21/9.91 | % 34.21/9.91 |-The branch is then unsatisfiable % 34.21/9.91 |-Branch two: % 34.21/9.91 | (544) ~ (all_0_48_48 = e2) % 34.21/9.91 | (2476) all_0_49_49 = e2 | all_0_50_50 = e2 | all_0_51_51 = e2 % 34.21/9.91 | % 34.21/9.91 +-Applying beta-rule and splitting (2476), into two cases. % 34.21/9.91 |-Branch one: % 34.21/9.91 | (368) all_0_49_49 = e2 % 34.21/9.91 | % 34.21/9.91 | Equations (368) can reduce 2167 to: % 34.21/9.91 | (303) $false % 34.21/9.91 | % 34.21/9.91 |-The branch is then unsatisfiable % 34.21/9.91 |-Branch two: % 34.21/9.91 | (2167) ~ (all_0_49_49 = e2) % 34.21/9.91 | (2480) all_0_50_50 = e2 | all_0_51_51 = e2 % 34.21/9.91 | % 34.21/9.91 +-Applying beta-rule and splitting (2480), into two cases. % 34.21/9.91 |-Branch one: % 34.21/9.91 | (364) all_0_50_50 = e2 % 34.21/9.91 | % 34.21/9.91 | Equations (364) can reduce 258 to: % 34.21/9.91 | (303) $false % 34.21/9.91 | % 34.21/9.91 |-The branch is then unsatisfiable % 34.21/9.91 |-Branch two: % 34.21/9.91 | (258) ~ (all_0_50_50 = e2) % 34.21/9.91 | (927) all_0_51_51 = e2 % 34.21/9.91 | % 34.21/9.91 | Equations (927) can reduce 373 to: % 34.21/9.91 | (303) $false % 34.21/9.91 | % 34.21/9.91 |-The branch is then unsatisfiable % 34.21/9.91 |-Branch two: % 34.21/9.91 | (276) ~ (all_0_55_55 = e2) % 34.21/9.91 | (1809) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 % 34.21/9.91 | % 34.21/9.91 +-Applying beta-rule and splitting (56), into two cases. % 34.21/9.91 |-Branch one: % 34.21/9.91 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 34.21/9.91 | % 34.21/9.91 +-Applying beta-rule and splitting (480), into two cases. % 34.21/9.91 |-Branch one: % 34.21/9.91 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 34.21/9.91 | % 34.21/9.91 +-Applying beta-rule and splitting (481), into two cases. % 34.21/9.91 |-Branch one: % 34.21/9.91 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 34.21/9.91 | % 34.21/9.91 +-Applying beta-rule and splitting (482), into two cases. % 34.21/9.91 |-Branch one: % 34.21/9.91 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 34.21/9.91 | % 34.21/9.91 | Applying alpha-rule on (483) yields: % 34.21/9.91 | (484) ~ (unit = e4) % 34.21/9.91 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 34.21/9.91 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 34.21/9.91 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 34.21/9.91 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 34.21/9.91 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 34.21/9.91 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 34.21/9.91 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 34.21/9.91 | (492) ~ (all_0_55_55 = e4) % 34.21/9.91 | (493) all_0_45_45 = e3 % 34.21/9.91 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 34.21/9.91 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 34.21/9.91 | % 34.21/9.91 +-Applying beta-rule and splitting (1809), into two cases. % 34.21/9.91 |-Branch one: % 34.21/9.91 | (473) all_0_55_55 = e4 % 34.21/9.91 | % 34.21/9.91 | Equations (473) can reduce 492 to: % 34.21/9.91 | (303) $false % 34.21/9.91 | % 34.21/9.91 |-The branch is then unsatisfiable % 34.21/9.91 |-Branch two: % 34.21/9.91 | (492) ~ (all_0_55_55 = e4) % 34.21/9.91 | (4636) all_0_55_55 = e3 | all_0_55_55 = e1 % 34.21/9.91 | % 34.21/9.91 +-Applying beta-rule and splitting (4636), into two cases. % 34.21/9.91 |-Branch one: % 34.21/9.91 | (530) all_0_55_55 = e1 % 34.21/9.91 | % 34.21/9.91 | Equations (530) can reduce 464 to: % 34.21/9.91 | (303) $false % 34.21/9.91 | % 34.21/9.91 |-The branch is then unsatisfiable % 34.21/9.91 |-Branch two: % 34.21/9.91 | (464) ~ (all_0_55_55 = e1) % 34.21/9.91 | (2165) all_0_55_55 = e3 % 34.21/9.91 | % 34.21/9.91 | Equations (2165) can reduce 314 to: % 34.21/9.91 | (303) $false % 34.21/9.91 | % 34.21/9.91 |-The branch is then unsatisfiable % 34.21/9.91 |-Branch two: % 34.21/9.91 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 34.21/9.91 | % 34.21/9.91 | Applying alpha-rule on (499) yields: % 34.21/9.91 | (500) ~ (all_0_51_51 = e1) % 34.21/9.91 | (501) ~ (all_0_60_60 = e1) % 34.21/9.91 | (502) ~ (all_0_52_52 = e1) % 34.21/9.91 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 34.21/9.91 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 34.21/9.91 | (252) all_0_46_46 = e2 % 34.21/9.91 | (506) ~ (all_0_49_49 = e1) % 34.21/9.91 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 34.21/9.91 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 34.21/9.91 | (509) ~ (all_0_53_53 = e1) % 34.21/9.91 | (510) ~ (unit = e1) % 34.21/9.91 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 34.21/9.91 | (512) ~ (all_0_44_44 = e1) % 34.21/9.91 | % 34.21/9.91 | Equations (1070) can reduce 502 to: % 34.21/9.91 | (303) $false % 34.21/9.91 | % 34.21/9.91 |-The branch is then unsatisfiable % 34.21/9.91 |-Branch two: % 34.21/9.91 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 34.21/9.91 | % 34.21/9.91 | Applying alpha-rule on (514) yields: % 34.21/9.91 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 34.21/9.91 | (516) ~ (all_0_47_47 = e3) % 34.21/9.91 | (314) ~ (all_0_55_55 = e3) % 34.21/9.91 | (368) all_0_49_49 = e2 % 34.21/9.91 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 34.21/9.91 | (520) ~ (unit = e3) % 34.21/9.91 | (521) ~ (all_0_52_52 = e3) % 34.21/9.91 | (455) ~ (all_0_46_46 = e3) % 34.21/9.91 | (432) ~ (all_0_40_40 = e3) % 34.21/9.91 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 34.21/9.91 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 34.21/9.91 | (526) ~ (all_0_56_56 = e3) % 34.21/9.91 | % 34.21/9.91 | Equations (368) can reduce 2167 to: % 34.21/9.91 | (303) $false % 34.21/9.91 | % 34.21/9.91 |-The branch is then unsatisfiable % 34.21/9.91 |-Branch two: % 34.21/9.91 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 34.21/9.91 | % 34.21/9.91 | Applying alpha-rule on (528) yields: % 34.21/9.91 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 34.21/9.91 | (530) all_0_55_55 = e1 % 34.21/9.91 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 34.21/9.91 | (387) ~ (all_0_49_49 = e0) % 34.21/9.91 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 34.21/9.91 | (534) ~ (all_0_45_45 = e0) % 34.21/9.91 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 34.21/9.91 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 34.21/9.91 | (537) ~ (unit = e0) % 34.21/9.91 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 34.21/9.91 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 34.21/9.91 | % 34.21/9.91 | Equations (530) can reduce 464 to: % 34.21/9.91 | (303) $false % 34.21/9.91 | % 34.21/9.91 |-The branch is then unsatisfiable % 34.21/9.91 |-Branch two: % 34.21/9.91 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 34.21/9.91 | % 34.21/9.91 | Applying alpha-rule on (543) yields: % 34.21/9.91 | (544) ~ (all_0_48_48 = e2) % 34.21/9.91 | (369) ~ (all_0_41_41 = e2) % 34.21/9.91 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 34.21/9.91 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 34.21/9.91 | (253) ~ (all_0_43_43 = e2) % 34.21/9.91 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 34.21/9.91 | (276) ~ (all_0_55_55 = e2) % 34.21/9.91 | (260) ~ (all_0_59_59 = e2) % 34.21/9.91 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 34.21/9.91 | (274) ~ (all_0_53_53 = e2) % 34.21/9.91 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 34.21/9.91 | (373) ~ (all_0_51_51 = e2) % 34.21/9.91 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 34.21/9.91 | (256) ~ (all_0_47_47 = e2) % 34.21/9.91 | (377) ~ (all_0_57_57 = e2) % 34.21/9.91 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 34.21/9.91 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 34.21/9.91 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 34.21/9.91 | (258) ~ (all_0_50_50 = e2) % 34.21/9.91 | (254) ~ (all_0_45_45 = e2) % 34.21/9.91 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 34.21/9.91 | % 34.21/9.91 | Equations (945) can reduce 369 to: % 34.21/9.91 | (303) $false % 34.21/9.91 | % 34.21/9.91 |-The branch is then unsatisfiable % 34.21/9.91 |-Branch two: % 34.21/9.91 | (502) ~ (all_0_52_52 = e1) % 34.21/9.91 | (425) all_0_52_52 = e3 % 34.21/9.91 | % 34.21/9.91 | Equations (425) can reduce 521 to: % 34.21/9.91 | (303) $false % 34.21/9.91 | % 34.21/9.91 |-The branch is then unsatisfiable % 34.21/9.91 |-Branch two: % 34.21/9.91 | (369) ~ (all_0_41_41 = e2) % 34.21/9.91 | (2863) all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_57_57 = e2 % 34.21/9.91 | % 34.21/9.91 +-Applying beta-rule and splitting (2863), into two cases. % 34.21/9.91 |-Branch one: % 34.21/9.91 | (368) all_0_49_49 = e2 % 34.21/9.91 | % 34.21/9.91 | Equations (368) can reduce 2167 to: % 34.21/9.91 | (303) $false % 34.21/9.91 | % 34.21/9.91 |-The branch is then unsatisfiable % 34.21/9.91 |-Branch two: % 34.21/9.91 | (2167) ~ (all_0_49_49 = e2) % 34.21/9.91 | (5846) all_0_53_53 = e2 | all_0_57_57 = e2 % 34.21/9.91 | % 34.21/9.91 +-Applying beta-rule and splitting (5846), into two cases. % 34.21/9.91 |-Branch one: % 34.21/9.91 | (360) all_0_53_53 = e2 % 34.21/9.91 | % 34.21/9.91 | Equations (360) can reduce 274 to: % 34.21/9.91 | (303) $false % 34.21/9.91 | % 34.21/9.91 |-The branch is then unsatisfiable % 34.21/9.91 |-Branch two: % 34.21/9.91 | (274) ~ (all_0_53_53 = e2) % 34.21/9.91 | (897) all_0_57_57 = e2 % 34.21/9.91 | % 34.21/9.91 | Equations (897) can reduce 377 to: % 34.21/9.91 | (303) $false % 34.21/9.91 | % 34.21/9.91 |-The branch is then unsatisfiable % 34.21/9.91 |-Branch two: % 34.21/9.91 | (1109) ~ (all_0_45_45 = e3) % 34.21/9.91 | (12370) all_0_46_46 = e3 | all_0_47_47 = e3 % 34.21/9.91 | % 34.21/9.91 +-Applying beta-rule and splitting (6273), into two cases. % 34.21/9.91 |-Branch one: % 34.21/9.91 | (287) all_0_45_45 = e0 % 34.21/9.91 | % 34.21/9.91 | Equations (287) can reduce 534 to: % 34.21/9.91 | (303) $false % 34.21/9.91 | % 34.21/9.91 |-The branch is then unsatisfiable % 34.21/9.91 |-Branch two: % 34.21/9.91 | (534) ~ (all_0_45_45 = e0) % 34.21/9.91 | (493) all_0_45_45 = e3 % 34.21/9.91 | % 34.21/9.91 | Equations (493) can reduce 1109 to: % 34.21/9.91 | (303) $false % 34.21/9.91 | % 34.21/9.91 |-The branch is then unsatisfiable % 34.21/9.91 |-Branch two: % 34.21/9.91 | (278) ~ (all_0_58_58 = e2) % 34.21/9.91 | (343) all_0_58_58 = e4 | all_0_58_58 = e0 % 34.21/9.91 | % 34.21/9.91 +-Applying beta-rule and splitting (343), into two cases. % 34.21/9.91 |-Branch one: % 34.21/9.91 | (344) all_0_58_58 = e4 % 34.21/9.91 | % 34.21/9.91 | Equations (344) can reduce 3161 to: % 34.21/9.91 | (303) $false % 34.21/9.91 | % 34.21/9.91 |-The branch is then unsatisfiable % 34.21/9.91 |-Branch two: % 34.21/9.91 | (3161) ~ (all_0_58_58 = e4) % 34.21/9.91 | (989) all_0_58_58 = e0 % 34.21/9.91 | % 34.21/9.91 | Equations (989) can reduce 332 to: % 34.21/9.91 | (303) $false % 34.21/9.91 | % 34.21/9.91 |-The branch is then unsatisfiable % 34.21/9.91 |-Branch two: % 34.21/9.91 | (3164) ~ (all_0_42_42 = e0) % 34.21/9.91 | (989) all_0_58_58 = e0 % 34.21/9.91 | % 34.21/9.91 | Equations (989) can reduce 71 to: % 34.21/9.91 | (296) ~ (all_0_56_56 = e0) % 34.21/9.91 | % 34.21/9.91 | Equations (989) can reduce 178 to: % 34.21/9.91 | (2273) ~ (all_0_57_57 = e0) % 34.21/9.91 | % 34.21/9.91 | Equations (989) can reduce 23 to: % 34.21/9.91 | (411) ~ (all_0_59_59 = e0) % 34.21/9.91 | % 34.21/9.91 | Simplifying 411 yields: % 34.21/9.91 | (216) ~ (all_0_59_59 = e0) % 34.21/9.91 | % 34.21/9.91 | Equations (989) can reduce 9 to: % 34.21/9.91 | (413) ~ (all_0_60_60 = e0) % 34.21/9.91 | % 34.21/9.91 | Simplifying 413 yields: % 34.21/9.91 | (414) ~ (all_0_60_60 = e0) % 34.21/9.91 | % 34.21/9.91 | Equations (989) can reduce 203 to: % 34.21/9.91 | (333) ~ (e3 = e0) % 34.21/9.91 | % 34.21/9.91 | Simplifying 333 yields: % 34.21/9.91 | (70) ~ (e3 = e0) % 34.21/9.91 | % 34.21/9.91 | From (989) and (10) follows: % 34.21/9.91 | (19352) op(e0, e2) = all_0_36_36 % 34.21/9.91 | % 34.21/9.91 | From (989) and (46) follows: % 34.21/9.92 | (3174) op(e0, e0) = all_0_35_35 % 34.21/9.92 | % 34.21/9.92 | From (989) and (135) follows: % 34.21/9.92 | (1167) op(e0, e2) = e0 % 34.21/9.92 | % 34.21/9.92 +-Applying beta-rule and splitting (20), into two cases. % 34.21/9.92 |-Branch one: % 34.21/9.92 | (959) all_0_42_42 = e2 % 34.21/9.92 | % 34.21/9.92 | Combining equations (959,12389) yields a new equation: % 34.21/9.92 | (19356) all_0_28_28 = e2 % 34.21/9.92 | % 34.21/9.92 | Equations (959) can reduce 115 to: % 34.21/9.92 | (939) ~ (all_0_40_40 = e2) % 34.21/9.92 | % 34.21/9.92 | Equations (959) can reduce 55 to: % 34.21/9.92 | (369) ~ (all_0_41_41 = e2) % 34.21/9.92 | % 34.21/9.92 | Equations (959) can reduce 119 to: % 34.21/9.92 | (2639) ~ (all_0_43_43 = e2) % 34.21/9.92 | % 34.21/9.92 | Simplifying 2639 yields: % 34.21/9.92 | (253) ~ (all_0_43_43 = e2) % 34.21/9.92 | % 34.21/9.92 | Equations (959) can reduce 69 to: % 34.21/9.92 | (4230) ~ (all_0_44_44 = e2) % 34.21/9.92 | % 34.21/9.92 | Simplifying 4230 yields: % 34.21/9.92 | (915) ~ (all_0_44_44 = e2) % 34.21/9.92 | % 34.21/9.92 | Equations (959) can reduce 225 to: % 34.21/9.92 | (577) ~ (e3 = e2) % 34.21/9.92 | % 34.21/9.92 | Simplifying 577 yields: % 34.21/9.92 | (223) ~ (e3 = e2) % 34.21/9.92 | % 34.21/9.92 | Equations (959) can reduce 25 to: % 34.21/9.92 | (144) ~ (e2 = e1) % 34.21/9.92 | % 34.21/9.92 | From (959) and (80) follows: % 34.21/9.92 | (19366) op(e2, e4) = all_0_3_3 % 34.21/9.92 | % 34.21/9.92 | From (959) and (179) follows: % 34.21/9.92 | (19367) op(e2, e2) = all_0_4_4 % 34.21/9.92 | % 34.21/9.92 | From (959) and (148) follows: % 34.21/9.92 | (1176) op(e4, e2) = e2 % 34.21/9.92 | % 34.21/9.92 | Instantiating formula (29) with e2, e4, all_0_3_3, all_0_48_48 and discharging atoms op(e2, e4) = all_0_3_3, op(e2, e4) = all_0_48_48, yields: % 34.21/9.92 | (19369) all_0_3_3 = all_0_48_48 % 34.21/9.92 | % 34.21/9.92 | Instantiating formula (29) with e2, e2, all_0_4_4, e3 and discharging atoms op(e2, e2) = all_0_4_4, op(e2, e2) = e3, yields: % 34.21/9.92 | (19370) all_0_4_4 = e3 % 34.21/9.92 | % 34.21/9.92 | Instantiating formula (29) with e0, e2, e0, all_0_36_36 and discharging atoms op(e0, e2) = all_0_36_36, op(e0, e2) = e0, yields: % 34.21/9.92 | (354) all_0_36_36 = e0 % 34.21/9.92 | % 34.21/9.92 | Instantiating formula (29) with e0, e0, all_0_35_35, all_0_60_60 and discharging atoms op(e0, e0) = all_0_35_35, op(e0, e0) = all_0_60_60, yields: % 34.21/9.92 | (3189) all_0_35_35 = all_0_60_60 % 34.21/9.92 | % 34.21/9.92 | From (19369) and (19366) follows: % 34.21/9.92 | (105) op(e2, e4) = all_0_48_48 % 34.21/9.92 | % 34.21/9.92 | From (19370) and (19367) follows: % 34.21/9.92 | (83) op(e2, e2) = e3 % 34.21/9.92 | % 34.21/9.92 | From (354) and (19352) follows: % 34.21/9.92 | (1167) op(e0, e2) = e0 % 34.21/9.92 | % 34.21/9.92 | From (3189) and (3174) follows: % 34.21/9.92 | (170) op(e0, e0) = all_0_60_60 % 34.21/9.92 | % 34.21/9.92 +-Applying beta-rule and splitting (183), into two cases. % 34.21/9.92 |-Branch one: % 34.21/9.92 | (287) all_0_45_45 = e0 % 34.21/9.92 | % 34.21/9.92 | Equations (287) can reduce 120 to: % 34.21/9.92 | (288) ~ (all_0_40_40 = e0) % 34.21/9.92 | % 34.21/9.92 | Equations (287) can reduce 118 to: % 34.21/9.92 | (289) ~ (all_0_47_47 = e0) % 34.21/9.92 | % 34.21/9.92 | Simplifying 289 yields: % 34.21/9.92 | (290) ~ (all_0_47_47 = e0) % 34.21/9.92 | % 34.21/9.92 | Equations (287) can reduce 214 to: % 34.21/9.92 | (291) ~ (all_0_48_48 = e0) % 34.21/9.92 | % 34.21/9.92 | Simplifying 291 yields: % 34.21/9.92 | (292) ~ (all_0_48_48 = e0) % 34.21/9.92 | % 34.21/9.92 | Equations (287) can reduce 162 to: % 34.21/9.92 | (293) ~ (all_0_52_52 = e0) % 34.21/9.92 | % 34.21/9.92 | Simplifying 293 yields: % 34.21/9.92 | (78) ~ (all_0_52_52 = e0) % 34.21/9.92 | % 34.21/9.92 | Equations (287) can reduce 182 to: % 34.21/9.92 | (295) ~ (all_0_56_56 = e0) % 34.21/9.92 | % 34.21/9.92 | Simplifying 295 yields: % 34.21/9.92 | (296) ~ (all_0_56_56 = e0) % 34.21/9.92 | % 34.21/9.92 | From (287) and (102) follows: % 34.21/9.92 | (299) op(e0, e4) = all_0_10_10 % 34.21/9.92 | % 34.21/9.92 | From (287) and (49) follows: % 34.21/9.92 | (300) op(e0, e3) = all_0_9_9 % 34.21/9.92 | % 34.21/9.92 | From (287) and (72) follows: % 34.21/9.92 | (301) op(e3, e4) = e0 % 34.21/9.92 | % 34.21/9.92 +-Applying beta-rule and splitting (101), into two cases. % 34.21/9.92 |-Branch one: % 34.21/9.92 | (493) all_0_45_45 = e3 % 34.21/9.92 | % 34.21/9.92 | Combining equations (287,493) yields a new equation: % 34.21/9.92 | (497) e3 = e0 % 34.21/9.92 | % 34.21/9.92 | Equations (497) can reduce 70 to: % 34.21/9.92 | (303) $false % 34.21/9.92 | % 34.21/9.92 |-The branch is then unsatisfiable % 34.21/9.92 |-Branch two: % 34.21/9.92 | (1109) ~ (all_0_45_45 = e3) % 34.21/9.92 | (12370) all_0_46_46 = e3 | all_0_47_47 = e3 % 34.21/9.92 | % 34.21/9.92 +-Applying beta-rule and splitting (12370), into two cases. % 34.21/9.92 |-Branch one: % 34.21/9.92 | (451) all_0_46_46 = e3 % 34.21/9.92 | % 34.21/9.92 | Combining equations (252,451) yields a new equation: % 34.21/9.92 | (453) e3 = e2 % 34.21/9.92 | % 34.21/9.92 | Equations (453) can reduce 223 to: % 34.21/9.92 | (303) $false % 34.21/9.92 | % 34.21/9.92 |-The branch is then unsatisfiable % 34.21/9.92 |-Branch two: % 34.21/9.92 | (455) ~ (all_0_46_46 = e3) % 34.21/9.92 | (309) all_0_47_47 = e3 % 34.21/9.92 | % 34.21/9.92 | Equations (309) can reduce 52 to: % 34.21/9.92 | (310) ~ (all_0_44_44 = e3) % 34.21/9.92 | % 34.21/9.92 | Equations (309) can reduce 142 to: % 34.21/9.92 | (311) ~ (all_0_51_51 = e3) % 34.21/9.92 | % 34.21/9.92 | Simplifying 311 yields: % 34.21/9.92 | (32) ~ (all_0_51_51 = e3) % 34.21/9.92 | % 34.21/9.92 | Equations (309) can reduce 39 to: % 34.21/9.92 | (313) ~ (all_0_55_55 = e3) % 34.21/9.92 | % 34.21/9.92 | Simplifying 313 yields: % 34.21/9.92 | (314) ~ (all_0_55_55 = e3) % 34.21/9.92 | % 34.21/9.92 | Equations (309) can reduce 47 to: % 34.21/9.92 | (315) ~ (all_0_60_60 = e3) % 34.21/9.92 | % 34.21/9.92 | Simplifying 315 yields: % 34.21/9.92 | (316) ~ (all_0_60_60 = e3) % 34.21/9.92 | % 34.21/9.92 | Equations (309) can reduce 290 to: % 34.21/9.92 | (70) ~ (e3 = e0) % 34.21/9.92 | % 34.21/9.92 | From (309) and (68) follows: % 34.21/9.92 | (317) op(e3, e3) = all_0_13_13 % 34.21/9.92 | % 34.21/9.92 | Instantiating formula (29) with e3, e3, all_0_13_13, e4 and discharging atoms op(e3, e3) = all_0_13_13, op(e3, e3) = e4, yields: % 34.21/9.92 | (318) all_0_13_13 = e4 % 34.21/9.92 | % 34.21/9.92 | Instantiating formula (29) with e0, e4, all_0_10_10, all_0_56_56 and discharging atoms op(e0, e4) = all_0_10_10, op(e0, e4) = all_0_56_56, yields: % 34.21/9.92 | (319) all_0_10_10 = all_0_56_56 % 34.21/9.92 | % 34.21/9.92 | Instantiating formula (29) with e0, e3, all_0_9_9, all_0_57_57 and discharging atoms op(e0, e3) = all_0_9_9, op(e0, e3) = all_0_57_57, yields: % 34.21/9.92 | (320) all_0_9_9 = all_0_57_57 % 34.21/9.92 | % 34.21/9.92 | From (318) and (317) follows: % 34.21/9.92 | (22) op(e3, e3) = e4 % 34.21/9.92 | % 34.21/9.92 | From (319) and (299) follows: % 34.21/9.92 | (132) op(e0, e4) = all_0_56_56 % 34.21/9.92 | % 34.21/9.92 | From (320) and (300) follows: % 34.21/9.92 | (5) op(e0, e3) = all_0_57_57 % 34.21/9.92 | % 34.21/9.92 +-Applying beta-rule and splitting (88), into two cases. % 34.21/9.92 |-Branch one: % 34.21/9.92 | (364) all_0_50_50 = e2 % 34.21/9.92 | % 34.21/9.92 | Equations (364) can reduce 258 to: % 34.21/9.92 | (303) $false % 34.21/9.92 | % 34.21/9.92 |-The branch is then unsatisfiable % 34.21/9.92 |-Branch two: % 34.21/9.92 | (258) ~ (all_0_50_50 = e2) % 34.21/9.92 | (367) all_0_50_50 = e4 | all_0_50_50 = e1 % 34.21/9.92 | % 34.21/9.92 +-Applying beta-rule and splitting (153), into two cases. % 34.21/9.92 |-Branch one: % 34.21/9.92 | (932) all_0_55_55 = e2 % 34.21/9.92 | % 34.21/9.92 +-Applying beta-rule and splitting (56), into two cases. % 34.21/9.92 |-Branch one: % 34.21/9.92 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 34.21/9.92 | % 34.21/9.92 +-Applying beta-rule and splitting (480), into two cases. % 34.21/9.92 |-Branch one: % 34.21/9.92 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 34.21/9.92 | % 34.21/9.92 +-Applying beta-rule and splitting (481), into two cases. % 34.21/9.92 |-Branch one: % 34.21/9.92 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 34.21/9.93 | % 34.21/9.93 +-Applying beta-rule and splitting (482), into two cases. % 34.21/9.93 |-Branch one: % 34.21/9.93 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 34.21/9.93 | % 34.21/9.93 | Applying alpha-rule on (483) yields: % 34.21/9.93 | (484) ~ (unit = e4) % 34.21/9.93 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 34.21/9.93 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 34.21/9.93 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 34.21/9.93 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 34.21/9.93 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 34.21/9.93 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 34.21/9.93 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 34.21/9.93 | (492) ~ (all_0_55_55 = e4) % 34.21/9.93 | (493) all_0_45_45 = e3 % 34.21/9.93 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 34.21/9.93 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 34.21/9.93 | % 34.21/9.93 | Combining equations (287,493) yields a new equation: % 34.21/9.93 | (497) e3 = e0 % 34.21/9.93 | % 34.21/9.93 | Equations (497) can reduce 70 to: % 34.21/9.93 | (303) $false % 34.21/9.93 | % 34.21/9.93 |-The branch is then unsatisfiable % 34.21/9.93 |-Branch two: % 34.21/9.93 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 34.21/9.93 | % 34.21/9.93 | Applying alpha-rule on (499) yields: % 34.21/9.93 | (500) ~ (all_0_51_51 = e1) % 34.21/9.93 | (501) ~ (all_0_60_60 = e1) % 34.21/9.93 | (502) ~ (all_0_52_52 = e1) % 34.21/9.93 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 34.21/9.93 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 34.21/9.93 | (252) all_0_46_46 = e2 % 34.21/9.93 | (506) ~ (all_0_49_49 = e1) % 34.21/9.93 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 34.21/9.93 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 34.21/9.93 | (509) ~ (all_0_53_53 = e1) % 34.21/9.93 | (510) ~ (unit = e1) % 34.21/9.93 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 34.21/9.93 | (512) ~ (all_0_44_44 = e1) % 34.21/9.93 | % 34.21/9.93 +-Applying beta-rule and splitting (27), into two cases. % 34.21/9.93 |-Branch one: % 34.21/9.93 | (705) all_0_44_44 = e1 % 34.21/9.93 | % 34.21/9.93 | Equations (705) can reduce 512 to: % 34.21/9.93 | (303) $false % 34.21/9.93 | % 34.21/9.93 |-The branch is then unsatisfiable % 34.21/9.93 |-Branch two: % 34.21/9.93 | (512) ~ (all_0_44_44 = e1) % 34.21/9.93 | (1589) all_0_51_51 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1 % 34.21/9.93 | % 34.21/9.93 +-Applying beta-rule and splitting (1589), into two cases. % 34.21/9.93 |-Branch one: % 34.21/9.93 | (1590) all_0_51_51 = e1 % 34.21/9.93 | % 34.21/9.93 | Equations (1590) can reduce 500 to: % 34.21/9.93 | (303) $false % 34.21/9.93 | % 34.21/9.93 |-The branch is then unsatisfiable % 34.21/9.93 |-Branch two: % 34.21/9.93 | (500) ~ (all_0_51_51 = e1) % 34.21/9.93 | (1594) all_0_55_55 = e1 | all_0_60_60 = e1 % 34.21/9.93 | % 34.21/9.93 +-Applying beta-rule and splitting (1594), into two cases. % 34.21/9.93 |-Branch one: % 34.21/9.93 | (530) all_0_55_55 = e1 % 34.21/9.93 | % 34.21/9.93 | Combining equations (932,530) yields a new equation: % 34.21/9.93 | (584) e2 = e1 % 34.21/9.93 | % 34.21/9.93 | Simplifying 584 yields: % 34.21/9.93 | (585) e2 = e1 % 34.21/9.93 | % 34.21/9.93 | Equations (585) can reduce 144 to: % 34.21/9.93 | (303) $false % 34.21/9.93 | % 34.21/9.93 |-The branch is then unsatisfiable % 34.21/9.93 |-Branch two: % 34.21/9.93 | (464) ~ (all_0_55_55 = e1) % 34.21/9.93 | (604) all_0_60_60 = e1 % 34.21/9.93 | % 34.21/9.93 | Equations (604) can reduce 501 to: % 34.21/9.93 | (303) $false % 34.21/9.93 | % 34.21/9.93 |-The branch is then unsatisfiable % 34.21/9.93 |-Branch two: % 34.21/9.93 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 34.21/9.93 | % 34.21/9.93 | Applying alpha-rule on (514) yields: % 34.21/9.93 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 34.21/9.93 | (516) ~ (all_0_47_47 = e3) % 34.21/9.93 | (314) ~ (all_0_55_55 = e3) % 34.21/9.93 | (368) all_0_49_49 = e2 % 34.21/9.93 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 34.21/9.93 | (520) ~ (unit = e3) % 34.21/9.93 | (521) ~ (all_0_52_52 = e3) % 34.21/9.93 | (455) ~ (all_0_46_46 = e3) % 34.21/9.93 | (432) ~ (all_0_40_40 = e3) % 34.21/9.93 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 34.21/9.93 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 34.21/9.93 | (526) ~ (all_0_56_56 = e3) % 34.21/9.93 | % 34.21/9.93 | Equations (309) can reduce 516 to: % 34.21/9.93 | (303) $false % 34.21/9.93 | % 34.21/9.93 |-The branch is then unsatisfiable % 34.21/9.93 |-Branch two: % 34.21/9.93 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 34.21/9.93 | % 34.21/9.93 | Applying alpha-rule on (528) yields: % 34.21/9.93 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 34.21/9.93 | (530) all_0_55_55 = e1 % 34.21/9.93 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 34.21/9.93 | (387) ~ (all_0_49_49 = e0) % 34.21/9.93 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 34.21/9.93 | (534) ~ (all_0_45_45 = e0) % 34.21/9.93 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 34.21/9.93 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 34.21/9.93 | (537) ~ (unit = e0) % 34.21/9.93 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 34.21/9.93 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 34.21/9.93 | % 34.21/9.93 | Combining equations (932,530) yields a new equation: % 34.21/9.93 | (584) e2 = e1 % 34.21/9.93 | % 34.21/9.93 | Simplifying 584 yields: % 34.21/9.93 | (585) e2 = e1 % 34.21/9.93 | % 34.21/9.93 | Equations (585) can reduce 144 to: % 34.21/9.93 | (303) $false % 34.21/9.93 | % 34.21/9.93 |-The branch is then unsatisfiable % 34.21/9.93 |-Branch two: % 34.21/9.93 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 34.21/9.93 | % 34.21/9.93 | Applying alpha-rule on (543) yields: % 34.21/9.93 | (544) ~ (all_0_48_48 = e2) % 34.21/9.93 | (369) ~ (all_0_41_41 = e2) % 34.21/9.93 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 34.21/9.93 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 34.21/9.93 | (253) ~ (all_0_43_43 = e2) % 34.21/9.93 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 34.21/9.93 | (276) ~ (all_0_55_55 = e2) % 34.21/9.93 | (260) ~ (all_0_59_59 = e2) % 34.21/9.93 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 34.21/9.93 | (274) ~ (all_0_53_53 = e2) % 34.21/9.93 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 34.21/9.93 | (373) ~ (all_0_51_51 = e2) % 34.21/9.93 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 34.21/9.93 | (256) ~ (all_0_47_47 = e2) % 34.21/9.93 | (377) ~ (all_0_57_57 = e2) % 34.21/9.93 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 34.21/9.93 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 34.21/9.93 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 34.21/9.93 | (258) ~ (all_0_50_50 = e2) % 34.21/9.93 | (254) ~ (all_0_45_45 = e2) % 34.21/9.93 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 34.21/9.93 | % 34.21/9.93 | Equations (932) can reduce 276 to: % 34.21/9.93 | (303) $false % 34.21/9.93 | % 34.21/9.93 |-The branch is then unsatisfiable % 34.21/9.93 |-Branch two: % 34.21/9.93 | (276) ~ (all_0_55_55 = e2) % 34.21/9.93 | (1809) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 % 34.21/9.93 | % 34.21/9.93 +-Applying beta-rule and splitting (1809), into two cases. % 34.21/9.93 |-Branch one: % 34.21/9.93 | (473) all_0_55_55 = e4 % 34.21/9.93 | % 34.21/9.93 | Equations (473) can reduce 492 to: % 34.21/9.93 | (303) $false % 34.21/9.93 | % 34.21/9.93 |-The branch is then unsatisfiable % 34.21/9.93 |-Branch two: % 34.21/9.93 | (492) ~ (all_0_55_55 = e4) % 34.21/9.93 | (4636) all_0_55_55 = e3 | all_0_55_55 = e1 % 34.21/9.93 | % 34.21/9.93 +-Applying beta-rule and splitting (4636), into two cases. % 34.21/9.93 |-Branch one: % 34.21/9.93 | (530) all_0_55_55 = e1 % 34.21/9.93 | % 34.21/9.93 | Equations (530) can reduce 59 to: % 34.21/9.93 | (512) ~ (all_0_44_44 = e1) % 34.21/9.93 | % 34.21/9.93 | Equations (530) can reduce 169 to: % 34.21/9.93 | (502) ~ (all_0_52_52 = e1) % 34.21/9.93 | % 34.21/9.93 | Equations (530) can reduce 131 to: % 34.21/9.93 | (509) ~ (all_0_53_53 = e1) % 34.21/9.93 | % 34.21/9.93 | Equations (530) can reduce 492 to: % 34.21/9.93 | (605) ~ (e4 = e1) % 34.21/9.93 | % 34.21/9.93 | Simplifying 605 yields: % 34.21/9.93 | (247) ~ (e4 = e1) % 34.21/9.93 | % 34.21/9.93 | From (530) and (155) follows: % 34.21/9.93 | (15517) op(e1, e1) = all_0_29_29 % 34.21/9.93 | % 34.21/9.93 | Instantiating formula (29) with e1, e1, all_0_29_29, e0 and discharging atoms op(e1, e1) = all_0_29_29, op(e1, e1) = e0, yields: % 34.21/9.93 | (15604) all_0_29_29 = e0 % 34.21/9.93 | % 34.21/9.93 | From (15604) and (15517) follows: % 34.21/9.93 | (12) op(e1, e1) = e0 % 34.21/9.93 | % 34.21/9.93 +-Applying beta-rule and splitting (213), into two cases. % 34.21/9.93 |-Branch one: % 34.21/9.93 | (360) all_0_53_53 = e2 % 34.21/9.93 | % 34.21/9.93 | Equations (360) can reduce 121 to: % 34.21/9.93 | (369) ~ (all_0_41_41 = e2) % 34.21/9.93 | % 34.21/9.93 | Equations (360) can reduce 7 to: % 34.21/9.93 | (2167) ~ (all_0_49_49 = e2) % 34.21/9.93 | % 34.21/9.93 | Equations (360) can reduce 77 to: % 34.21/9.93 | (273) ~ (all_0_52_52 = e2) % 34.21/9.93 | % 34.21/9.93 | Equations (360) can reduce 251 to: % 34.21/9.93 | (376) ~ (all_0_57_57 = e2) % 34.21/9.93 | % 34.21/9.93 | Simplifying 376 yields: % 34.21/9.93 | (377) ~ (all_0_57_57 = e2) % 34.21/9.93 | % 34.21/9.93 | Equations (360) can reduce 229 to: % 34.21/9.93 | (261) ~ (e4 = e2) % 34.21/9.93 | % 34.21/9.93 | Simplifying 261 yields: % 34.21/9.93 | (231) ~ (e4 = e2) % 34.21/9.93 | % 34.21/9.93 | From (360) and (242) follows: % 34.21/9.93 | (12585) op(e2, e3) = all_0_26_26 % 34.21/9.93 | % 34.21/9.93 | From (360) and (224) follows: % 34.21/9.93 | (12586) op(e1, e3) = e2 % 34.21/9.93 | % 34.21/9.93 +-Applying beta-rule and splitting (24), into two cases. % 34.21/9.93 |-Branch one: % 34.21/9.93 | (980) all_0_52_52 = e2 % 34.21/9.93 | % 34.21/9.93 | Equations (980) can reduce 273 to: % 34.21/9.93 | (303) $false % 34.21/9.93 | % 34.21/9.93 |-The branch is then unsatisfiable % 34.21/9.93 |-Branch two: % 34.21/9.93 | (273) ~ (all_0_52_52 = e2) % 34.21/9.93 | (1772) all_0_52_52 = e4 | all_0_52_52 = e3 | all_0_52_52 = e1 % 34.21/9.93 | % 34.21/9.93 +-Applying beta-rule and splitting (1772), into two cases. % 34.21/9.93 |-Branch one: % 34.21/9.93 | (442) all_0_52_52 = e4 % 34.21/9.93 | % 34.21/9.93 | Equations (442) can reduce 445 to: % 34.21/9.93 | (303) $false % 34.21/9.93 | % 34.21/9.93 |-The branch is then unsatisfiable % 34.21/9.93 |-Branch two: % 34.21/9.93 | (445) ~ (all_0_52_52 = e4) % 34.21/9.93 | (1795) all_0_52_52 = e3 | all_0_52_52 = e1 % 34.21/9.93 | % 34.21/9.93 +-Applying beta-rule and splitting (1795), into two cases. % 34.21/9.93 |-Branch one: % 34.21/9.93 | (1070) all_0_52_52 = e1 % 34.21/9.93 | % 34.21/9.93 | Equations (1070) can reduce 502 to: % 34.21/9.93 | (303) $false % 34.21/9.93 | % 34.21/9.93 |-The branch is then unsatisfiable % 34.21/9.93 |-Branch two: % 34.21/9.93 | (502) ~ (all_0_52_52 = e1) % 34.21/9.93 | (425) all_0_52_52 = e3 % 34.21/9.93 | % 34.21/9.93 | Equations (425) can reduce 188 to: % 34.21/9.93 | (432) ~ (all_0_40_40 = e3) % 34.21/9.93 | % 34.21/9.93 | Equations (425) can reduce 108 to: % 34.21/9.93 | (34) ~ (all_0_48_48 = e3) % 34.21/9.93 | % 34.21/9.93 | Equations (425) can reduce 149 to: % 34.21/9.93 | (2285) ~ (all_0_56_56 = e3) % 34.21/9.93 | % 34.21/9.93 | Simplifying 2285 yields: % 34.21/9.93 | (526) ~ (all_0_56_56 = e3) % 34.21/9.93 | % 34.21/9.93 | Equations (425) can reduce 273 to: % 34.21/9.93 | (223) ~ (e3 = e2) % 34.21/9.93 | % 34.21/9.93 | Equations (425) can reduce 78 to: % 34.21/9.93 | (70) ~ (e3 = e0) % 34.21/9.93 | % 34.21/9.93 | From (425) and (45) follows: % 34.21/9.93 | (3339) op(e3, e4) = all_0_24_24 % 34.21/9.93 | % 34.21/9.93 | From (425) and (156) follows: % 34.21/9.93 | (3340) op(e3, e1) = all_0_23_23 % 34.21/9.93 | % 34.21/9.93 | From (425) and (152) follows: % 34.21/9.93 | (430) op(e1, e4) = e3 % 34.21/9.93 | % 34.21/9.93 +-Applying beta-rule and splitting (56), into two cases. % 34.21/9.93 |-Branch one: % 34.21/9.93 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 34.21/9.93 | % 34.21/9.93 +-Applying beta-rule and splitting (480), into two cases. % 34.21/9.93 |-Branch one: % 34.21/9.93 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 34.21/9.93 | % 34.21/9.93 +-Applying beta-rule and splitting (481), into two cases. % 34.21/9.93 |-Branch one: % 34.21/9.93 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 34.21/9.93 | % 34.21/9.93 +-Applying beta-rule and splitting (482), into two cases. % 34.21/9.93 |-Branch one: % 34.21/9.93 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 34.21/9.93 | % 34.21/9.93 | Applying alpha-rule on (483) yields: % 34.21/9.93 | (484) ~ (unit = e4) % 34.21/9.93 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 34.21/9.93 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 34.21/9.93 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 34.21/9.93 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 34.21/9.93 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 34.21/9.93 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 34.21/9.93 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 34.21/9.93 | (492) ~ (all_0_55_55 = e4) % 34.21/9.93 | (493) all_0_45_45 = e3 % 34.21/9.93 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 34.21/9.93 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 34.21/9.93 | % 34.21/9.93 | Combining equations (287,493) yields a new equation: % 34.21/9.93 | (497) e3 = e0 % 34.21/9.93 | % 34.21/9.93 | Equations (497) can reduce 70 to: % 34.21/9.93 | (303) $false % 34.21/9.94 | % 34.21/9.94 |-The branch is then unsatisfiable % 34.21/9.94 |-Branch two: % 34.21/9.94 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 34.21/9.94 | % 34.21/9.94 | Applying alpha-rule on (499) yields: % 34.21/9.94 | (500) ~ (all_0_51_51 = e1) % 34.21/9.94 | (501) ~ (all_0_60_60 = e1) % 34.21/9.94 | (502) ~ (all_0_52_52 = e1) % 34.21/9.94 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 34.21/9.94 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 34.21/9.94 | (252) all_0_46_46 = e2 % 34.21/9.94 | (506) ~ (all_0_49_49 = e1) % 34.21/9.94 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 34.21/9.94 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 34.21/9.94 | (509) ~ (all_0_53_53 = e1) % 34.21/9.94 | (510) ~ (unit = e1) % 34.21/9.94 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 34.21/9.94 | (512) ~ (all_0_44_44 = e1) % 34.21/9.94 | % 34.21/9.94 | Equations (425) can reduce 502 to: % 34.21/9.94 | (136) ~ (e3 = e1) % 34.21/9.94 | % 34.21/9.94 +-Applying beta-rule and splitting (114), into two cases. % 34.21/9.94 |-Branch one: % 34.21/9.94 | (368) all_0_49_49 = e2 % 34.21/9.94 | % 34.21/9.94 | Equations (368) can reduce 2167 to: % 34.21/9.94 | (303) $false % 34.21/9.94 | % 34.21/9.94 |-The branch is then unsatisfiable % 34.21/9.94 |-Branch two: % 34.21/9.94 | (2167) ~ (all_0_49_49 = e2) % 34.21/9.94 | (2168) all_0_49_49 = e1 | all_0_49_49 = e0 % 34.21/9.94 | % 34.21/9.94 +-Applying beta-rule and splitting (2168), into two cases. % 34.21/9.94 |-Branch one: % 34.21/9.94 | (1580) all_0_49_49 = e1 % 34.21/9.94 | % 34.21/9.94 | Equations (1580) can reduce 506 to: % 34.21/9.94 | (303) $false % 34.21/9.94 | % 34.21/9.94 |-The branch is then unsatisfiable % 34.21/9.94 |-Branch two: % 34.21/9.94 | (506) ~ (all_0_49_49 = e1) % 34.21/9.94 | (384) all_0_49_49 = e0 % 34.21/9.94 | % 34.21/9.94 | Equations (384) can reduce 177 to: % 34.21/9.94 | (326) ~ (all_0_41_41 = e0) % 34.21/9.94 | % 34.21/9.94 | Equations (384) can reduce 58 to: % 34.21/9.94 | (292) ~ (all_0_48_48 = e0) % 34.21/9.94 | % 34.21/9.94 | Equations (384) can reduce 37 to: % 34.21/9.94 | (6386) ~ (all_0_50_50 = e0) % 34.21/9.94 | % 34.21/9.94 | Simplifying 6386 yields: % 34.21/9.94 | (207) ~ (all_0_50_50 = e0) % 34.21/9.94 | % 34.21/9.94 | Equations (384) can reduce 226 to: % 34.21/9.94 | (2272) ~ (all_0_57_57 = e0) % 34.21/9.94 | % 34.21/9.94 | Simplifying 2272 yields: % 34.21/9.94 | (2273) ~ (all_0_57_57 = e0) % 34.21/9.94 | % 34.21/9.94 | Equations (384) can reduce 215 to: % 34.21/9.94 | (297) ~ (e4 = e0) % 34.21/9.94 | % 34.21/9.94 | Simplifying 297 yields: % 34.21/9.94 | (4) ~ (e4 = e0) % 34.21/9.94 | % 34.21/9.94 | Equations (384) can reduce 2167 to: % 34.21/9.94 | (335) ~ (e2 = e0) % 34.21/9.94 | % 34.21/9.94 | Simplifying 335 yields: % 34.21/9.94 | (51) ~ (e2 = e0) % 34.21/9.94 | % 34.21/9.94 | From (384) and (65) follows: % 34.21/9.94 | (2548) op(e0, e3) = all_0_18_18 % 34.21/9.94 | % 34.21/9.94 | From (384) and (94) follows: % 34.21/9.94 | (2550) op(e2, e3) = e0 % 34.21/9.94 | % 34.21/9.94 +-Applying beta-rule and splitting (63), into two cases. % 34.21/9.94 |-Branch one: % 34.21/9.94 | (2834) all_0_40_40 = e0 % 34.21/9.94 | % 34.21/9.94 | Equations (2834) can reduce 288 to: % 34.21/9.94 | (303) $false % 34.21/9.94 | % 34.21/9.94 |-The branch is then unsatisfiable % 34.21/9.94 |-Branch two: % 34.21/9.94 | (288) ~ (all_0_40_40 = e0) % 34.21/9.94 | (5766) all_0_41_41 = e0 | all_0_42_42 = e0 | all_0_44_44 = e0 % 34.21/9.94 | % 34.21/9.94 +-Applying beta-rule and splitting (84), into two cases. % 34.21/9.94 |-Branch one: % 34.21/9.94 | (2078) all_0_44_44 = e0 % 34.21/9.94 | % 34.21/9.94 | Equations (2078) can reduce 124 to: % 34.21/9.94 | (288) ~ (all_0_40_40 = e0) % 34.21/9.94 | % 34.21/9.94 | Equations (2078) can reduce 176 to: % 34.21/9.94 | (326) ~ (all_0_41_41 = e0) % 34.21/9.94 | % 34.21/9.94 | Equations (2078) can reduce 82 to: % 34.21/9.94 | (117) ~ (all_0_43_43 = e0) % 34.21/9.94 | % 34.21/9.94 | Equations (2078) can reduce 165 to: % 34.21/9.94 | (413) ~ (all_0_60_60 = e0) % 34.21/9.94 | % 34.21/9.94 | Simplifying 413 yields: % 34.21/9.94 | (414) ~ (all_0_60_60 = e0) % 34.21/9.94 | % 34.21/9.94 | Equations (2078) can reduce 310 to: % 34.21/9.94 | (333) ~ (e3 = e0) % 34.21/9.94 | % 34.21/9.94 | Simplifying 333 yields: % 34.21/9.94 | (70) ~ (e3 = e0) % 34.21/9.94 | % 34.21/9.94 | Equations (2078) can reduce 915 to: % 34.21/9.94 | (335) ~ (e2 = e0) % 34.21/9.94 | % 34.21/9.94 | Simplifying 335 yields: % 34.21/9.94 | (51) ~ (e2 = e0) % 34.21/9.94 | % 34.21/9.94 | Equations (2078) can reduce 512 to: % 34.21/9.94 | (661) ~ (e1 = e0) % 34.21/9.94 | % 34.21/9.94 | Simplifying 661 yields: % 34.21/9.94 | (134) ~ (e1 = e0) % 34.21/9.94 | % 34.21/9.94 | From (2078) and (235) follows: % 34.21/9.94 | (5358) op(e0, e4) = all_0_7_7 % 34.21/9.94 | % 34.21/9.94 | From (2078) and (128) follows: % 34.21/9.94 | (5359) op(e0, e0) = all_0_8_8 % 34.21/9.94 | % 34.21/9.94 | From (2078) and (107) follows: % 34.21/9.94 | (8484) op(e4, e0) = e0 % 34.21/9.94 | % 34.21/9.94 | Instantiating formula (29) with e3, e4, all_0_24_24, e0 and discharging atoms op(e3, e4) = all_0_24_24, op(e3, e4) = e0, yields: % 34.21/9.94 | (3590) all_0_24_24 = e0 % 34.21/9.94 | % 34.21/9.94 | Instantiating formula (29) with e3, e1, all_0_23_23, e2 and discharging atoms op(e3, e1) = all_0_23_23, op(e3, e1) = e2, yields: % 34.21/9.94 | (3591) all_0_23_23 = e2 % 34.21/9.94 | % 34.21/9.94 | Instantiating formula (29) with e2, e3, e0, all_0_26_26 and discharging atoms op(e2, e3) = all_0_26_26, op(e2, e3) = e0, yields: % 34.21/9.94 | (12672) all_0_26_26 = e0 % 34.21/9.94 | % 34.21/9.94 | Instantiating formula (29) with e0, e4, all_0_7_7, all_0_56_56 and discharging atoms op(e0, e4) = all_0_7_7, op(e0, e4) = all_0_56_56, yields: % 34.21/9.94 | (19640) all_0_7_7 = all_0_56_56 % 34.21/9.94 | % 34.21/9.94 | Instantiating formula (29) with e0, e3, all_0_18_18, all_0_57_57 and discharging atoms op(e0, e3) = all_0_18_18, op(e0, e3) = all_0_57_57, yields: % 34.21/9.94 | (2625) all_0_18_18 = all_0_57_57 % 34.21/9.94 | % 34.21/9.94 | Instantiating formula (29) with e0, e0, all_0_8_8, all_0_60_60 and discharging atoms op(e0, e0) = all_0_8_8, op(e0, e0) = all_0_60_60, yields: % 34.21/9.94 | (19642) all_0_8_8 = all_0_60_60 % 34.21/9.94 | % 34.21/9.94 | From (3590) and (3339) follows: % 34.21/9.94 | (301) op(e3, e4) = e0 % 34.21/9.94 | % 34.21/9.94 | From (3591) and (3340) follows: % 34.21/9.94 | (266) op(e3, e1) = e2 % 34.21/9.94 | % 34.21/9.94 | From (12672) and (12585) follows: % 34.21/9.94 | (2550) op(e2, e3) = e0 % 34.21/9.94 | % 34.21/9.94 | From (19640) and (5358) follows: % 34.21/9.94 | (132) op(e0, e4) = all_0_56_56 % 34.21/9.94 | % 34.21/9.94 | From (19642) and (5359) follows: % 34.21/9.94 | (170) op(e0, e0) = all_0_60_60 % 34.21/9.94 | % 34.21/9.94 +-Applying beta-rule and splitting (97), into two cases. % 34.21/9.94 |-Branch one: % 34.21/9.94 | (727) all_0_48_48 = e2 % 34.21/9.94 | % 34.21/9.94 | Equations (727) can reduce 53 to: % 34.21/9.94 | (939) ~ (all_0_40_40 = e2) % 34.21/9.94 | % 34.21/9.94 | Equations (727) can reduce 48 to: % 34.21/9.94 | (257) ~ (all_0_50_50 = e2) % 34.21/9.94 | % 34.21/9.94 | Simplifying 257 yields: % 34.21/9.94 | (258) ~ (all_0_50_50 = e2) % 34.21/9.94 | % 34.21/9.94 | Equations (727) can reduce 127 to: % 34.21/9.94 | (372) ~ (all_0_51_51 = e2) % 34.21/9.94 | % 34.21/9.94 | Simplifying 372 yields: % 34.21/9.94 | (373) ~ (all_0_51_51 = e2) % 34.21/9.94 | % 34.21/9.94 | Equations (727) can reduce 2 to: % 34.21/9.94 | (2174) ~ (all_0_56_56 = e2) % 34.21/9.94 | % 34.21/9.94 | Simplifying 2174 yields: % 34.21/9.94 | (594) ~ (all_0_56_56 = e2) % 34.21/9.94 | % 34.21/9.94 | Equations (727) can reduce 34 to: % 34.21/9.94 | (577) ~ (e3 = e2) % 34.21/9.94 | % 34.21/9.94 | Simplifying 577 yields: % 34.21/9.94 | (223) ~ (e3 = e2) % 34.21/9.94 | % 34.21/9.94 | Equations (727) can reduce 292 to: % 34.21/9.94 | (51) ~ (e2 = e0) % 34.21/9.94 | % 34.21/9.94 +-Applying beta-rule and splitting (166), into two cases. % 34.21/9.94 |-Branch one: % 34.21/9.94 | (927) all_0_51_51 = e2 % 34.21/9.94 | % 34.21/9.94 | Equations (927) can reduce 373 to: % 34.21/9.94 | (303) $false % 34.21/9.94 | % 34.21/9.94 |-The branch is then unsatisfiable % 34.21/9.94 |-Branch two: % 34.21/9.94 | (373) ~ (all_0_51_51 = e2) % 34.21/9.94 | (6448) all_0_51_51 = e4 | all_0_51_51 = e1 | all_0_51_51 = e0 % 34.21/9.94 | % 34.21/9.94 +-Applying beta-rule and splitting (61), into two cases. % 34.21/9.94 |-Branch one: % 34.21/9.94 | (580) all_0_56_56 = e2 % 34.21/9.94 | % 34.21/9.94 | Equations (580) can reduce 594 to: % 34.21/9.94 | (303) $false % 34.21/9.94 | % 34.21/9.94 |-The branch is then unsatisfiable % 34.21/9.94 |-Branch two: % 34.21/9.94 | (594) ~ (all_0_56_56 = e2) % 34.21/9.94 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 34.21/9.94 | % 34.21/9.94 +-Applying beta-rule and splitting (112), into two cases. % 34.21/9.94 |-Branch one: % 34.21/9.94 | (572) all_0_44_44 = e2 % 34.21/9.94 | % 34.21/9.94 | Combining equations (2078,572) yields a new equation: % 34.21/9.94 | (385) e2 = e0 % 34.21/9.94 | % 34.21/9.94 | Equations (385) can reduce 51 to: % 34.21/9.94 | (303) $false % 34.21/9.94 | % 34.21/9.94 |-The branch is then unsatisfiable % 34.21/9.94 |-Branch two: % 34.21/9.94 | (915) ~ (all_0_44_44 = e2) % 34.21/9.94 | (916) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 34.21/9.94 | % 34.21/9.94 | Equations (2078) can reduce 915 to: % 34.21/9.94 | (335) ~ (e2 = e0) % 34.21/9.94 | % 34.21/9.94 | Simplifying 335 yields: % 34.21/9.94 | (51) ~ (e2 = e0) % 34.21/9.94 | % 34.21/9.94 +-Applying beta-rule and splitting (6448), into two cases. % 34.21/9.94 |-Branch one: % 34.21/9.94 | (1501) all_0_51_51 = e4 % 34.21/9.94 | % 34.21/9.94 | Equations (1501) can reduce 171 to: % 34.21/9.94 | (611) ~ (all_0_50_50 = e4) % 34.21/9.94 | % 34.21/9.94 | Equations (1501) can reduce 32 to: % 34.21/9.94 | (30) ~ (e4 = e3) % 34.21/9.94 | % 34.21/9.94 | Equations (1501) can reduce 373 to: % 34.21/9.94 | (231) ~ (e4 = e2) % 34.21/9.94 | % 34.21/9.94 | From (1501) and (18) follows: % 34.21/9.95 | (8425) op(e4, e0) = all_0_22_22 % 34.21/9.95 | % 34.21/9.95 | From (1501) and (66) follows: % 34.21/9.95 | (10154) op(e2, e0) = e4 % 34.21/9.95 | % 34.21/9.95 +-Applying beta-rule and splitting (220), into two cases. % 34.21/9.95 |-Branch one: % 34.21/9.95 | (913) all_0_60_60 = e2 % 34.21/9.95 | % 34.21/9.95 | Combining equations (913,3189) yields a new equation: % 34.21/9.95 | (10917) all_0_35_35 = e2 % 34.21/9.95 | % 34.21/9.95 | Combining equations (913,19642) yields a new equation: % 34.21/9.95 | (19682) all_0_8_8 = e2 % 34.21/9.95 | % 34.21/9.95 | Equations (913) can reduce 81 to: % 34.21/9.95 | (377) ~ (all_0_57_57 = e2) % 34.21/9.95 | % 34.21/9.95 | Equations (913) can reduce 164 to: % 34.21/9.95 | (260) ~ (all_0_59_59 = e2) % 34.21/9.95 | % 34.21/9.95 | Equations (913) can reduce 316 to: % 34.21/9.95 | (577) ~ (e3 = e2) % 34.21/9.95 | % 34.21/9.95 | Simplifying 577 yields: % 34.21/9.95 | (223) ~ (e3 = e2) % 34.21/9.95 | % 34.21/9.95 | Equations (913) can reduce 414 to: % 34.21/9.95 | (51) ~ (e2 = e0) % 34.21/9.95 | % 34.21/9.95 +-Applying beta-rule and splitting (367), into two cases. % 34.21/9.95 |-Branch one: % 34.21/9.95 | (714) all_0_50_50 = e4 % 34.21/9.95 | % 34.21/9.95 | Equations (714) can reduce 611 to: % 34.21/9.95 | (303) $false % 34.21/9.95 | % 34.21/9.95 |-The branch is then unsatisfiable % 34.21/9.95 |-Branch two: % 34.21/9.95 | (611) ~ (all_0_50_50 = e4) % 34.21/9.95 | (627) all_0_50_50 = e1 % 34.21/9.95 | % 34.21/9.95 | Combining equations (627,268) yields a new equation: % 34.21/9.95 | (3272) all_0_12_12 = e1 % 34.21/9.95 | % 34.21/9.95 | Equations (627) can reduce 238 to: % 34.21/9.95 | (622) ~ (all_0_43_43 = e1) % 34.21/9.95 | % 34.21/9.95 | Equations (627) can reduce 126 to: % 34.21/9.95 | (3274) ~ (all_0_59_59 = e1) % 34.21/9.95 | % 34.21/9.95 | Simplifying 3274 yields: % 34.21/9.95 | (603) ~ (all_0_59_59 = e1) % 34.21/9.95 | % 34.21/9.95 | Equations (627) can reduce 611 to: % 34.21/9.95 | (605) ~ (e4 = e1) % 34.21/9.95 | % 34.21/9.95 | Simplifying 605 yields: % 34.21/9.95 | (247) ~ (e4 = e1) % 34.21/9.95 | % 34.21/9.95 | Equations (627) can reduce 15 to: % 34.21/9.95 | (465) ~ (e3 = e1) % 34.21/9.95 | % 34.21/9.95 | Simplifying 465 yields: % 34.21/9.95 | (136) ~ (e3 = e1) % 34.21/9.95 | % 34.21/9.95 | Equations (627) can reduce 258 to: % 34.21/9.95 | (565) ~ (e2 = e1) % 34.21/9.95 | % 34.21/9.95 | Simplifying 565 yields: % 34.21/9.95 | (144) ~ (e2 = e1) % 34.21/9.95 | % 34.21/9.95 | Equations (627) can reduce 207 to: % 34.21/9.95 | (134) ~ (e1 = e0) % 34.21/9.95 | % 34.21/9.95 | From (627) and (110) follows: % 34.21/9.95 | (3278) op(e1, e1) = all_0_20_20 % 34.21/9.95 | % 34.21/9.95 | Instantiating formula (29) with e4, e0, all_0_22_22, e0 and discharging atoms op(e4, e0) = all_0_22_22, op(e4, e0) = e0, yields: % 34.21/9.95 | (19704) all_0_22_22 = e0 % 34.21/9.95 | % 34.21/9.95 | Instantiating formula (29) with e1, e1, all_0_20_20, e0 and discharging atoms op(e1, e1) = all_0_20_20, op(e1, e1) = e0, yields: % 34.21/9.95 | (3327) all_0_20_20 = e0 % 34.21/9.95 | % 34.21/9.95 | From (19704) and (8425) follows: % 34.21/9.95 | (8484) op(e4, e0) = e0 % 34.21/9.95 | % 34.21/9.95 +-Applying beta-rule and splitting (139), into two cases. % 34.21/9.95 |-Branch one: % 34.21/9.95 | (614) all_0_43_43 = e4 % 34.21/9.95 | % 34.21/9.95 | Equations (614) can reduce 8 to: % 34.21/9.95 | (844) ~ (all_0_40_40 = e4) % 34.21/9.95 | % 34.21/9.95 | Equations (614) can reduce 43 to: % 34.21/9.95 | (192) ~ (all_0_41_41 = e4) % 34.21/9.95 | % 34.21/9.95 | Equations (614) can reduce 249 to: % 34.21/9.95 | (347) ~ (all_0_59_59 = e4) % 34.21/9.95 | % 34.21/9.95 | Simplifying 347 yields: % 34.21/9.95 | (348) ~ (all_0_59_59 = e4) % 34.21/9.95 | % 34.21/9.95 | Equations (614) can reduce 253 to: % 34.21/9.95 | (231) ~ (e4 = e2) % 34.21/9.95 | % 34.21/9.95 +-Applying beta-rule and splitting (137), into two cases. % 34.21/9.95 |-Branch one: % 34.21/9.95 | (447) all_0_43_43 = e3 % 34.21/9.95 | % 34.21/9.95 | Combining equations (614,447) yields a new equation: % 34.21/9.95 | (718) e4 = e3 % 34.21/9.95 | % 34.21/9.95 | Simplifying 718 yields: % 34.21/9.95 | (443) e4 = e3 % 34.21/9.95 | % 34.21/9.95 | Equations (443) can reduce 30 to: % 34.21/9.95 | (303) $false % 34.21/9.95 | % 34.21/9.95 |-The branch is then unsatisfiable % 34.21/9.95 |-Branch two: % 34.21/9.95 | (434) ~ (all_0_43_43 = e3) % 34.21/9.95 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 34.21/9.95 | % 34.21/9.95 +-Applying beta-rule and splitting (200), into two cases. % 34.21/9.95 |-Branch one: % 34.21/9.95 | (1102) all_0_40_40 = e3 % 34.21/9.95 | % 34.21/9.95 | Equations (1102) can reduce 432 to: % 34.21/9.95 | (303) $false % 34.21/9.95 | % 34.21/9.95 |-The branch is then unsatisfiable % 34.21/9.95 |-Branch two: % 34.21/9.95 | (432) ~ (all_0_40_40 = e3) % 34.21/9.95 | (2138) all_0_41_41 = e3 | all_0_43_43 = e3 | all_0_44_44 = e3 % 34.21/9.95 | % 34.21/9.95 +-Applying beta-rule and splitting (2138), into two cases. % 34.21/9.95 |-Branch one: % 34.21/9.95 | (431) all_0_41_41 = e3 % 34.21/9.95 | % 34.21/9.95 | Equations (431) can reduce 11 to: % 34.21/9.95 | (2589) ~ (all_0_57_57 = e3) % 34.21/9.95 | % 34.21/9.95 | Simplifying 2589 yields: % 34.21/9.95 | (2590) ~ (all_0_57_57 = e3) % 34.21/9.95 | % 34.21/9.95 | Equations (431) can reduce 192 to: % 34.21/9.95 | (439) ~ (e4 = e3) % 34.21/9.95 | % 34.21/9.95 | Simplifying 439 yields: % 34.21/9.95 | (30) ~ (e4 = e3) % 34.21/9.95 | % 34.21/9.95 | Equations (431) can reduce 369 to: % 34.21/9.95 | (223) ~ (e3 = e2) % 34.21/9.95 | % 34.21/9.95 | From (431) and (211) follows: % 34.21/9.95 | (19729) op(e3, e4) = all_0_1_1 % 34.21/9.95 | % 34.21/9.95 +-Applying beta-rule and splitting (196), into two cases. % 34.21/9.95 |-Branch one: % 34.21/9.95 | (723) all_0_40_40 = e4 % 34.21/9.95 | % 34.21/9.95 | Equations (723) can reduce 844 to: % 34.21/9.95 | (303) $false % 34.21/9.95 | % 34.21/9.95 |-The branch is then unsatisfiable % 34.21/9.95 |-Branch two: % 34.21/9.95 | (844) ~ (all_0_40_40 = e4) % 34.21/9.95 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 34.21/9.95 | % 34.21/9.95 +-Applying beta-rule and splitting (845), into two cases. % 34.21/9.95 |-Branch one: % 34.21/9.95 | (609) all_0_48_48 = e4 % 34.21/9.95 | % 34.21/9.95 | Combining equations (609,727) yields a new equation: % 34.21/9.95 | (878) e4 = e2 % 34.21/9.95 | % 34.21/9.95 | Simplifying 878 yields: % 34.21/9.95 | (470) e4 = e2 % 34.21/9.95 | % 34.21/9.95 | Equations (470) can reduce 231 to: % 34.21/9.95 | (303) $false % 34.21/9.95 | % 34.21/9.95 |-The branch is then unsatisfiable % 34.21/9.95 |-Branch two: % 34.21/9.95 | (721) ~ (all_0_48_48 = e4) % 34.21/9.95 | (871) all_0_52_52 = e4 | all_0_56_56 = e4 % 34.21/9.95 | % 34.21/9.95 +-Applying beta-rule and splitting (44), into two cases. % 34.21/9.95 |-Branch one: % 34.21/9.95 | (624) all_0_40_40 = e1 % 34.21/9.95 | % 34.21/9.95 | Equations (624) can reduce 57 to: % 34.21/9.95 | (1799) ~ (all_0_56_56 = e1) % 34.21/9.95 | % 34.21/9.95 | Simplifying 1799 yields: % 34.21/9.95 | (587) ~ (all_0_56_56 = e1) % 34.21/9.95 | % 34.21/9.95 | Equations (624) can reduce 939 to: % 34.21/9.95 | (565) ~ (e2 = e1) % 34.21/9.95 | % 34.21/9.95 | Simplifying 565 yields: % 34.21/9.95 | (144) ~ (e2 = e1) % 34.21/9.95 | % 34.21/9.95 +-Applying beta-rule and splitting (209), into two cases. % 34.21/9.95 |-Branch one: % 34.21/9.95 | (1111) all_0_56_56 = e3 % 34.21/9.95 | % 34.21/9.95 | Equations (1111) can reduce 526 to: % 34.21/9.95 | (303) $false % 34.21/9.95 | % 34.21/9.95 |-The branch is then unsatisfiable % 34.21/9.95 |-Branch two: % 34.21/9.95 | (526) ~ (all_0_56_56 = e3) % 34.21/9.95 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 34.21/9.95 | % 34.21/9.95 +-Applying beta-rule and splitting (245), into two cases. % 34.21/9.95 |-Branch one: % 34.21/9.95 | (583) all_0_56_56 = e1 % 34.21/9.95 | % 34.21/9.95 | Equations (583) can reduce 587 to: % 34.21/9.95 | (303) $false % 34.21/9.95 | % 34.21/9.95 |-The branch is then unsatisfiable % 34.21/9.95 |-Branch two: % 34.21/9.95 | (587) ~ (all_0_56_56 = e1) % 34.21/9.95 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 34.21/9.95 | % 34.21/9.95 +-Applying beta-rule and splitting (1491), into two cases. % 34.21/9.95 |-Branch one: % 34.21/9.95 | (1001) all_0_57_57 = e3 % 34.21/9.95 | % 34.21/9.95 | Equations (1001) can reduce 2590 to: % 34.21/9.95 | (303) $false % 34.21/9.95 | % 34.21/9.95 |-The branch is then unsatisfiable % 34.21/9.95 |-Branch two: % 34.21/9.95 | (2590) ~ (all_0_57_57 = e3) % 34.21/9.95 | (2977) all_0_59_59 = e3 | all_0_60_60 = e3 % 34.21/9.95 | % 34.21/9.95 +-Applying beta-rule and splitting (243), into two cases. % 34.21/9.95 |-Branch one: % 34.21/9.95 | (877) all_0_56_56 = e4 % 34.21/9.95 | % 34.21/9.95 | From (877) and (125) follows: % 34.21/9.95 | (19758) op(e4, e0) = all_0_31_31 % 34.21/9.95 | % 34.21/9.95 +-Applying beta-rule and splitting (2977), into two cases. % 34.21/9.95 |-Branch one: % 34.21/9.95 | (456) all_0_59_59 = e3 % 34.21/9.95 | % 34.21/9.95 | Equations (456) can reduce 603 to: % 34.21/9.95 | (136) ~ (e3 = e1) % 34.21/9.95 | % 34.21/9.95 +-Applying beta-rule and splitting (588), into two cases. % 34.21/9.95 |-Branch one: % 34.21/9.95 | (589) all_0_57_57 = e1 % 34.21/9.95 | % 34.21/9.95 | Equations (589) can reduce 2273 to: % 34.21/9.95 | (134) ~ (e1 = e0) % 34.21/9.95 | % 34.21/9.95 | From (589) and (35) follows: % 34.21/9.95 | (3953) op(e1, e3) = all_0_34_34 % 34.21/9.95 | % 34.21/9.95 | Instantiating formula (29) with e4, e0, all_0_31_31, e0 and discharging atoms op(e4, e0) = all_0_31_31, op(e4, e0) = e0, yields: % 34.21/9.95 | (19764) all_0_31_31 = e0 % 34.21/9.95 | % 34.21/9.95 | Instantiating formula (29) with e3, e4, all_0_1_1, e0 and discharging atoms op(e3, e4) = all_0_1_1, op(e3, e4) = e0, yields: % 34.21/9.96 | (19765) all_0_1_1 = e0 % 34.21/9.96 | % 34.21/9.96 | Instantiating formula (29) with e1, e3, all_0_34_34, e2 and discharging atoms op(e1, e3) = all_0_34_34, op(e1, e3) = e2, yields: % 34.21/9.96 | (13533) all_0_34_34 = e2 % 34.21/9.96 | % 34.21/9.96 | From (19764) and (19758) follows: % 34.21/9.96 | (8484) op(e4, e0) = e0 % 34.21/9.96 | % 34.21/9.96 | From (19765) and (19729) follows: % 34.21/9.96 | (301) op(e3, e4) = e0 % 34.21/9.96 | % 34.21/9.96 | From (13533) and (3953) follows: % 34.21/9.96 | (12586) op(e1, e3) = e2 % 34.21/9.96 | % 34.21/9.96 +-Applying beta-rule and splitting (62), into two cases. % 34.21/9.96 |-Branch one: % 34.21/9.96 | (631) unit = e2 % 34.21/9.96 | % 34.21/9.96 | From (631) and (232) follows: % 34.21/9.96 | (2714) op(e2, e3) = e3 % 34.21/9.96 | % 34.21/9.96 | From (631) and (98) follows: % 34.21/9.96 | (5015) op(e3, e2) = e3 % 34.21/9.96 | % 34.21/9.96 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 34.21/9.96 | (601) e3 = e1 % 34.21/9.96 | % 34.21/9.96 | Instantiating formula (29) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields: % 34.21/9.96 | (497) e3 = e0 % 34.21/9.96 | % 34.21/9.96 | Combining equations (497,601) yields a new equation: % 34.21/9.96 | (590) e1 = e0 % 34.21/9.96 | % 34.21/9.96 | Equations (590) can reduce 134 to: % 34.21/9.96 | (303) $false % 34.21/9.96 | % 34.21/9.96 |-The branch is then unsatisfiable % 34.21/9.96 |-Branch two: % 34.21/9.96 | (599) ~ (unit = e2) % 34.21/9.96 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 34.21/9.96 | % 34.21/9.96 +-Applying beta-rule and splitting (634), into two cases. % 34.21/9.96 |-Branch one: % 34.21/9.96 | (635) unit = e4 % 34.21/9.96 | % 34.21/9.96 | From (635) and (98) follows: % 34.21/9.96 | (2729) op(e3, e4) = e3 % 34.21/9.96 | % 34.21/9.96 | From (635) and (190) follows: % 34.21/9.96 | (1178) op(e1, e4) = e1 % 34.21/9.96 | % 34.21/9.96 | Instantiating formula (29) with e3, e4, e3, e0 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e0, yields: % 34.21/9.96 | (497) e3 = e0 % 34.21/9.96 | % 34.21/9.96 | Instantiating formula (29) with e1, e4, e1, e3 and discharging atoms op(e1, e4) = e3, op(e1, e4) = e1, yields: % 34.21/9.96 | (601) e3 = e1 % 34.21/9.96 | % 34.21/9.96 | Combining equations (497,601) yields a new equation: % 34.21/9.96 | (590) e1 = e0 % 34.21/9.96 | % 34.21/9.96 | Equations (590) can reduce 134 to: % 34.21/9.96 | (303) $false % 34.21/9.96 | % 34.21/9.96 |-The branch is then unsatisfiable % 34.21/9.96 |-Branch two: % 34.21/9.96 | (484) ~ (unit = e4) % 34.21/9.96 | (647) unit = e3 | unit = e1 | unit = e0 % 34.21/9.96 | % 34.21/9.96 +-Applying beta-rule and splitting (647), into two cases. % 34.21/9.96 |-Branch one: % 34.21/9.96 | (648) unit = e1 % 34.21/9.96 | % 34.21/9.96 | Equations (648) can reduce 510 to: % 34.21/9.96 | (303) $false % 34.21/9.96 | % 34.21/9.96 |-The branch is then unsatisfiable % 34.21/9.96 |-Branch two: % 34.21/9.96 | (510) ~ (unit = e1) % 34.21/9.96 | (659) unit = e3 | unit = e0 % 34.21/9.96 | % 34.21/9.96 +-Applying beta-rule and splitting (659), into two cases. % 34.21/9.96 |-Branch one: % 34.21/9.96 | (660) unit = e0 % 34.21/9.96 | % 34.21/9.96 | Equations (660) can reduce 599 to: % 34.21/9.96 | (335) ~ (e2 = e0) % 34.21/9.96 | % 34.21/9.96 | Simplifying 335 yields: % 34.21/9.96 | (51) ~ (e2 = e0) % 34.21/9.96 | % 34.21/9.96 | From (660) and (130) follows: % 34.21/9.96 | (8501) op(e4, e0) = e4 % 34.21/9.96 | % 34.21/9.96 | From (660) and (74) follows: % 34.21/9.96 | (664) op(e2, e0) = e2 % 34.21/9.96 | % 34.21/9.96 | Instantiating formula (29) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 34.21/9.96 | (654) e4 = e0 % 34.21/9.96 | % 34.21/9.96 | Instantiating formula (29) with e2, e0, e2, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e2, yields: % 34.21/9.96 | (470) e4 = e2 % 34.21/9.96 | % 34.21/9.96 | Combining equations (654,470) yields a new equation: % 34.21/9.96 | (385) e2 = e0 % 34.21/9.96 | % 34.21/9.96 | Equations (385) can reduce 51 to: % 34.21/9.96 | (303) $false % 34.21/9.96 | % 34.21/9.96 |-The branch is then unsatisfiable % 34.21/9.96 |-Branch two: % 34.21/9.96 | (537) ~ (unit = e0) % 34.21/9.96 | (674) unit = e3 % 34.21/9.96 | % 34.21/9.96 | From (674) and (74) follows: % 34.21/9.96 | (8513) op(e2, e3) = e2 % 34.21/9.96 | % 34.21/9.96 | From (674) and (190) follows: % 34.21/9.96 | (468) op(e1, e3) = e1 % 34.21/9.96 | % 34.21/9.96 | Instantiating formula (29) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields: % 34.21/9.96 | (385) e2 = e0 % 34.21/9.96 | % 34.21/9.96 | Instantiating formula (29) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 34.21/9.96 | (585) e2 = e1 % 34.21/9.96 | % 34.21/9.96 | Combining equations (585,385) yields a new equation: % 34.21/9.96 | (670) e1 = e0 % 34.21/9.96 | % 34.21/9.96 | Simplifying 670 yields: % 34.21/9.96 | (590) e1 = e0 % 34.21/9.96 | % 34.21/9.96 | Equations (590) can reduce 134 to: % 34.21/9.96 | (303) $false % 34.21/9.96 | % 34.21/9.96 |-The branch is then unsatisfiable % 34.21/9.96 |-Branch two: % 34.21/9.96 | (592) ~ (all_0_57_57 = e1) % 34.21/9.96 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 34.21/9.96 | % 34.21/9.96 +-Applying beta-rule and splitting (593), into two cases. % 34.21/9.96 |-Branch one: % 34.21/9.96 | (600) all_0_59_59 = e1 % 34.21/9.96 | % 34.21/9.96 | Combining equations (456,600) yields a new equation: % 34.21/9.96 | (680) e3 = e1 % 34.21/9.96 | % 34.21/9.96 | Simplifying 680 yields: % 34.21/9.96 | (601) e3 = e1 % 34.21/9.96 | % 34.21/9.96 | Equations (601) can reduce 136 to: % 34.21/9.96 | (303) $false % 34.21/9.96 | % 34.21/9.96 |-The branch is then unsatisfiable % 34.21/9.96 |-Branch two: % 34.21/9.96 | (603) ~ (all_0_59_59 = e1) % 34.21/9.96 | (604) all_0_60_60 = e1 % 34.21/9.96 | % 34.21/9.96 | Combining equations (913,604) yields a new equation: % 34.21/9.96 | (584) e2 = e1 % 34.21/9.96 | % 34.21/9.96 | Simplifying 584 yields: % 34.21/9.96 | (585) e2 = e1 % 34.21/9.96 | % 34.21/9.96 | Equations (585) can reduce 144 to: % 34.21/9.96 | (303) $false % 34.21/9.96 | % 34.21/9.96 |-The branch is then unsatisfiable % 34.21/9.96 |-Branch two: % 34.21/9.96 | (1031) ~ (all_0_59_59 = e3) % 34.21/9.96 | (1937) all_0_60_60 = e3 % 34.21/9.96 | % 34.21/9.96 | Combining equations (1937,913) yields a new equation: % 34.21/9.96 | (452) e3 = e2 % 34.21/9.96 | % 34.21/9.96 | Simplifying 452 yields: % 34.21/9.96 | (453) e3 = e2 % 34.21/9.96 | % 34.21/9.96 | Equations (453) can reduce 223 to: % 34.21/9.96 | (303) $false % 34.21/9.96 | % 34.21/9.96 |-The branch is then unsatisfiable % 34.21/9.96 |-Branch two: % 34.21/9.96 | (345) ~ (all_0_56_56 = e4) % 34.21/9.96 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 34.21/9.96 | % 34.21/9.96 +-Applying beta-rule and splitting (450), into two cases. % 34.21/9.96 |-Branch one: % 34.21/9.96 | (451) all_0_46_46 = e3 % 34.21/9.96 | % 34.21/9.96 | Combining equations (252,451) yields a new equation: % 34.21/9.96 | (453) e3 = e2 % 34.21/9.96 | % 34.21/9.96 | Equations (453) can reduce 223 to: % 34.21/9.96 | (303) $false % 34.21/9.96 | % 34.21/9.96 |-The branch is then unsatisfiable % 34.21/9.96 |-Branch two: % 34.21/9.96 | (455) ~ (all_0_46_46 = e3) % 34.21/9.96 | (456) all_0_59_59 = e3 % 34.21/9.96 | % 34.21/9.96 | Equations (456) can reduce 348 to: % 34.21/9.96 | (439) ~ (e4 = e3) % 34.21/9.96 | % 34.21/9.96 | Simplifying 439 yields: % 34.21/9.96 | (30) ~ (e4 = e3) % 34.21/9.96 | % 34.21/9.96 +-Applying beta-rule and splitting (871), into two cases. % 34.21/9.96 |-Branch one: % 34.21/9.96 | (442) all_0_52_52 = e4 % 34.21/9.96 | % 34.21/9.96 | Combining equations (425,442) yields a new equation: % 34.21/9.96 | (443) e4 = e3 % 34.21/9.96 | % 34.21/9.96 | Equations (443) can reduce 30 to: % 34.21/9.96 | (303) $false % 34.21/9.96 | % 34.21/9.96 |-The branch is then unsatisfiable % 34.21/9.96 |-Branch two: % 34.21/9.96 | (445) ~ (all_0_52_52 = e4) % 34.21/9.96 | (877) all_0_56_56 = e4 % 34.21/9.96 | % 34.21/9.96 | Equations (877) can reduce 345 to: % 34.21/9.96 | (303) $false % 34.21/9.96 | % 34.21/9.96 |-The branch is then unsatisfiable % 34.21/9.96 |-Branch two: % 34.21/9.96 | (683) ~ (all_0_40_40 = e1) % 34.21/9.96 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 34.21/9.96 | % 34.21/9.96 +-Applying beta-rule and splitting (221), into two cases. % 34.21/9.96 |-Branch one: % 34.21/9.96 | (696) all_0_41_41 = e1 % 34.21/9.96 | % 34.21/9.96 | Combining equations (431,696) yields a new equation: % 34.21/9.96 | (680) e3 = e1 % 34.21/9.96 | % 34.21/9.96 | Simplifying 680 yields: % 34.21/9.96 | (601) e3 = e1 % 34.21/9.96 | % 34.21/9.96 | Equations (601) can reduce 136 to: % 34.21/9.96 | (303) $false % 34.21/9.96 | % 34.21/9.96 |-The branch is then unsatisfiable % 34.21/9.96 |-Branch two: % 34.21/9.96 | (699) ~ (all_0_41_41 = e1) % 34.21/9.96 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 34.21/9.96 | % 34.21/9.96 +-Applying beta-rule and splitting (175), into two cases. % 34.21/9.96 |-Branch one: % 34.21/9.96 | (624) all_0_40_40 = e1 % 34.21/9.96 | % 34.21/9.96 | Equations (624) can reduce 683 to: % 34.21/9.96 | (303) $false % 34.21/9.96 | % 34.21/9.96 |-The branch is then unsatisfiable % 34.21/9.96 |-Branch two: % 34.21/9.96 | (683) ~ (all_0_40_40 = e1) % 34.21/9.96 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 34.21/9.96 | % 34.21/9.96 +-Applying beta-rule and splitting (243), into two cases. % 34.21/9.96 |-Branch one: % 34.21/9.96 | (877) all_0_56_56 = e4 % 34.21/9.96 | % 34.21/9.96 | Equations (877) can reduce 172 to: % 34.21/9.96 | (13028) ~ (all_0_57_57 = e4) % 34.21/9.96 | % 34.21/9.96 | Simplifying 13028 yields: % 34.21/9.96 | (202) ~ (all_0_57_57 = e4) % 34.21/9.96 | % 34.21/9.96 +-Applying beta-rule and splitting (450), into two cases. % 34.21/9.96 |-Branch one: % 34.21/9.96 | (451) all_0_46_46 = e3 % 34.21/9.96 | % 34.21/9.96 | Combining equations (451,252) yields a new equation: % 34.21/9.96 | (452) e3 = e2 % 34.21/9.96 | % 34.21/9.96 | Simplifying 452 yields: % 34.21/9.96 | (453) e3 = e2 % 34.21/9.96 | % 34.21/9.96 | Equations (453) can reduce 223 to: % 34.21/9.96 | (303) $false % 34.21/9.96 | % 34.21/9.96 |-The branch is then unsatisfiable % 34.21/9.96 |-Branch two: % 34.21/9.96 | (455) ~ (all_0_46_46 = e3) % 34.21/9.96 | (456) all_0_59_59 = e3 % 34.21/9.96 | % 34.21/9.96 | Equations (456) can reduce 222 to: % 34.21/9.96 | (2590) ~ (all_0_57_57 = e3) % 34.21/9.96 | % 34.21/9.96 +-Applying beta-rule and splitting (2154), into two cases. % 34.21/9.96 |-Branch one: % 34.21/9.96 | (1580) all_0_49_49 = e1 % 34.21/9.96 | % 34.21/9.96 | Combining equations (384,1580) yields a new equation: % 34.21/9.96 | (590) e1 = e0 % 34.21/9.96 | % 34.21/9.96 | Equations (590) can reduce 134 to: % 34.21/9.96 | (303) $false % 34.21/9.96 | % 34.21/9.96 |-The branch is then unsatisfiable % 34.21/9.96 |-Branch two: % 34.21/9.96 | (506) ~ (all_0_49_49 = e1) % 34.21/9.96 | (2676) all_0_53_53 = e1 | all_0_57_57 = e1 % 34.21/9.96 | % 34.21/9.96 +-Applying beta-rule and splitting (684), into two cases. % 34.21/9.96 |-Branch one: % 34.21/9.96 | (748) all_0_48_48 = e1 % 34.21/9.96 | % 34.21/9.96 | Combining equations (727,748) yields a new equation: % 34.21/9.96 | (584) e2 = e1 % 34.21/9.96 | % 34.21/9.96 | Simplifying 584 yields: % 34.21/9.96 | (585) e2 = e1 % 34.21/9.96 | % 34.21/9.96 | Equations (585) can reduce 144 to: % 34.21/9.96 | (303) $false % 34.21/9.96 | % 34.21/9.96 |-The branch is then unsatisfiable % 34.21/9.96 |-Branch two: % 34.21/9.96 | (802) ~ (all_0_48_48 = e1) % 34.21/9.96 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 34.21/9.96 | % 34.21/9.96 | Equations (727) can reduce 802 to: % 34.21/9.96 | (144) ~ (e2 = e1) % 34.21/9.96 | % 34.21/9.97 +-Applying beta-rule and splitting (2676), into two cases. % 34.21/9.97 |-Branch one: % 34.21/9.97 | (462) all_0_53_53 = e1 % 34.21/9.97 | % 34.21/9.97 | Combining equations (360,462) yields a new equation: % 34.21/9.97 | (584) e2 = e1 % 34.21/9.97 | % 34.21/9.97 | Simplifying 584 yields: % 34.21/9.97 | (585) e2 = e1 % 34.21/9.97 | % 34.21/9.97 | Equations (585) can reduce 144 to: % 34.21/9.97 | (303) $false % 34.21/9.97 | % 34.21/9.97 |-The branch is then unsatisfiable % 34.21/9.97 |-Branch two: % 34.21/9.97 | (509) ~ (all_0_53_53 = e1) % 34.21/9.97 | (589) all_0_57_57 = e1 % 34.21/9.97 | % 34.21/9.97 | Equations (589) can reduce 202 to: % 34.21/9.97 | (605) ~ (e4 = e1) % 34.21/9.97 | % 34.21/9.97 | Simplifying 605 yields: % 34.21/9.97 | (247) ~ (e4 = e1) % 34.21/9.97 | % 34.21/9.97 | Equations (589) can reduce 2590 to: % 34.21/9.97 | (465) ~ (e3 = e1) % 34.21/9.97 | % 34.21/9.97 | Simplifying 465 yields: % 34.21/9.97 | (136) ~ (e3 = e1) % 34.21/9.97 | % 34.21/9.97 +-Applying beta-rule and splitting (807), into two cases. % 34.21/9.97 |-Branch one: % 34.21/9.97 | (1070) all_0_52_52 = e1 % 34.21/9.97 | % 34.21/9.97 | Combining equations (425,1070) yields a new equation: % 34.21/9.97 | (680) e3 = e1 % 34.21/9.97 | % 34.21/9.97 | Simplifying 680 yields: % 34.21/9.97 | (601) e3 = e1 % 34.21/9.97 | % 34.21/9.97 | Equations (601) can reduce 136 to: % 34.21/9.97 | (303) $false % 34.21/9.97 | % 34.21/9.97 |-The branch is then unsatisfiable % 34.21/9.97 |-Branch two: % 34.21/9.97 | (502) ~ (all_0_52_52 = e1) % 34.21/9.97 | (583) all_0_56_56 = e1 % 34.21/9.97 | % 34.21/9.97 | Combining equations (877,583) yields a new equation: % 34.21/9.97 | (540) e4 = e1 % 34.21/9.97 | % 34.21/9.97 | Simplifying 540 yields: % 34.21/9.97 | (541) e4 = e1 % 34.21/9.97 | % 34.21/9.97 | Equations (541) can reduce 247 to: % 34.21/9.97 | (303) $false % 34.21/9.97 | % 34.21/9.97 |-The branch is then unsatisfiable % 34.21/9.97 |-Branch two: % 34.21/9.97 | (345) ~ (all_0_56_56 = e4) % 34.21/9.97 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 34.21/9.97 | % 34.21/9.97 +-Applying beta-rule and splitting (871), into two cases. % 34.21/9.97 |-Branch one: % 34.21/9.97 | (442) all_0_52_52 = e4 % 34.21/9.97 | % 34.21/9.97 | Combining equations (442,425) yields a new equation: % 34.21/9.97 | (718) e4 = e3 % 34.21/9.97 | % 34.21/9.97 | Simplifying 718 yields: % 34.21/9.97 | (443) e4 = e3 % 34.21/9.97 | % 34.21/9.97 | Equations (443) can reduce 30 to: % 34.21/9.97 | (303) $false % 34.21/9.97 | % 34.21/9.97 |-The branch is then unsatisfiable % 34.21/9.97 |-Branch two: % 34.21/9.97 | (445) ~ (all_0_52_52 = e4) % 34.21/9.97 | (877) all_0_56_56 = e4 % 34.21/9.97 | % 34.21/9.97 | Equations (877) can reduce 345 to: % 34.21/9.97 | (303) $false % 34.21/9.97 | % 34.21/9.97 |-The branch is then unsatisfiable % 34.21/9.97 |-Branch two: % 34.21/9.97 | (996) ~ (all_0_41_41 = e3) % 34.21/9.97 | (5989) all_0_43_43 = e3 | all_0_44_44 = e3 % 34.21/9.97 | % 34.21/9.97 +-Applying beta-rule and splitting (237), into two cases. % 34.21/9.97 |-Branch one: % 34.21/9.97 | (431) all_0_41_41 = e3 % 34.21/9.97 | % 34.21/9.97 | Equations (431) can reduce 996 to: % 34.21/9.97 | (303) $false % 34.21/9.97 | % 34.21/9.97 |-The branch is then unsatisfiable % 34.21/9.97 |-Branch two: % 34.21/9.97 | (996) ~ (all_0_41_41 = e3) % 34.21/9.97 | (997) all_0_53_53 = e3 | all_0_57_57 = e3 % 34.21/9.97 | % 34.21/9.97 +-Applying beta-rule and splitting (997), into two cases. % 34.21/9.97 |-Branch one: % 34.21/9.97 | (994) all_0_53_53 = e3 % 34.21/9.97 | % 34.21/9.97 | Combining equations (360,994) yields a new equation: % 34.21/9.97 | (453) e3 = e2 % 34.21/9.97 | % 34.21/9.97 | Equations (453) can reduce 223 to: % 34.21/9.97 | (303) $false % 34.21/9.97 | % 34.21/9.97 |-The branch is then unsatisfiable % 34.21/9.97 |-Branch two: % 34.21/9.97 | (428) ~ (all_0_53_53 = e3) % 34.21/9.97 | (1001) all_0_57_57 = e3 % 34.21/9.97 | % 34.21/9.97 | Equations (1001) can reduce 222 to: % 34.21/9.97 | (1030) ~ (all_0_59_59 = e3) % 34.21/9.97 | % 34.21/9.97 | Simplifying 1030 yields: % 34.21/9.97 | (1031) ~ (all_0_59_59 = e3) % 34.21/9.97 | % 34.21/9.97 | Equations (1001) can reduce 377 to: % 34.21/9.97 | (223) ~ (e3 = e2) % 34.21/9.97 | % 34.21/9.97 +-Applying beta-rule and splitting (450), into two cases. % 34.21/9.97 |-Branch one: % 34.21/9.97 | (451) all_0_46_46 = e3 % 34.21/9.97 | % 34.21/9.97 | Combining equations (252,451) yields a new equation: % 34.21/9.97 | (453) e3 = e2 % 34.21/9.97 | % 34.21/9.97 | Equations (453) can reduce 223 to: % 34.21/9.97 | (303) $false % 34.21/9.97 | % 34.21/9.97 |-The branch is then unsatisfiable % 34.21/9.97 |-Branch two: % 34.21/9.97 | (455) ~ (all_0_46_46 = e3) % 34.21/9.97 | (456) all_0_59_59 = e3 % 34.21/9.97 | % 34.21/9.97 | Equations (456) can reduce 1031 to: % 34.21/9.97 | (303) $false % 34.21/9.97 | % 34.21/9.97 |-The branch is then unsatisfiable % 34.21/9.97 |-Branch two: % 34.21/9.97 | (712) ~ (all_0_43_43 = e4) % 34.21/9.97 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 34.21/9.97 | % 34.21/9.97 +-Applying beta-rule and splitting (191), into two cases. % 34.21/9.97 |-Branch one: % 34.21/9.97 | (965) all_0_43_43 = e2 % 34.21/9.97 | % 34.21/9.97 | Equations (965) can reduce 253 to: % 34.21/9.97 | (303) $false % 34.21/9.97 | % 34.21/9.97 |-The branch is then unsatisfiable % 34.21/9.97 |-Branch two: % 34.21/9.97 | (253) ~ (all_0_43_43 = e2) % 34.21/9.97 | (1634) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e1 % 34.21/9.97 | % 34.21/9.97 +-Applying beta-rule and splitting (713), into two cases. % 34.21/9.97 |-Branch one: % 34.21/9.97 | (714) all_0_50_50 = e4 % 34.21/9.97 | % 34.21/9.97 | Combining equations (714,627) yields a new equation: % 34.21/9.97 | (540) e4 = e1 % 34.21/9.97 | % 34.21/9.97 | Simplifying 540 yields: % 34.21/9.97 | (541) e4 = e1 % 34.21/9.97 | % 34.21/9.97 | Equations (541) can reduce 247 to: % 34.21/9.97 | (303) $false % 34.21/9.97 | % 34.21/9.97 |-The branch is then unsatisfiable % 34.21/9.97 |-Branch two: % 34.21/9.97 | (611) ~ (all_0_50_50 = e4) % 34.21/9.97 | (717) all_0_59_59 = e4 % 34.21/9.97 | % 34.21/9.97 | Equations (717) can reduce 222 to: % 34.21/9.97 | (202) ~ (all_0_57_57 = e4) % 34.21/9.97 | % 34.21/9.97 | Equations (717) can reduce 260 to: % 34.21/9.97 | (231) ~ (e4 = e2) % 34.21/9.97 | % 34.21/9.97 | Equations (717) can reduce 603 to: % 34.21/9.97 | (247) ~ (e4 = e1) % 34.21/9.97 | % 34.21/9.97 | Equations (717) can reduce 216 to: % 34.21/9.97 | (4) ~ (e4 = e0) % 34.21/9.97 | % 34.21/9.97 | From (717) and (33) follows: % 34.21/9.97 | (3321) op(e4, e1) = all_0_38_38 % 34.21/9.97 | % 34.21/9.97 +-Applying beta-rule and splitting (137), into two cases. % 34.21/9.97 |-Branch one: % 34.21/9.97 | (447) all_0_43_43 = e3 % 34.21/9.97 | % 34.21/9.97 | Equations (447) can reduce 8 to: % 34.21/9.97 | (432) ~ (all_0_40_40 = e3) % 34.21/9.97 | % 34.21/9.97 | Equations (447) can reduce 43 to: % 34.21/9.97 | (996) ~ (all_0_41_41 = e3) % 34.21/9.97 | % 34.21/9.97 | Equations (447) can reduce 253 to: % 34.21/9.97 | (223) ~ (e3 = e2) % 34.21/9.97 | % 34.21/9.97 | Equations (447) can reduce 622 to: % 34.21/9.97 | (136) ~ (e3 = e1) % 34.21/9.97 | % 34.21/9.97 | From (447) and (99) follows: % 34.21/9.97 | (3298) op(e3, e1) = all_0_6_6 % 34.21/9.97 | % 34.21/9.97 | From (447) and (19) follows: % 34.21/9.97 | (3299) op(e4, e1) = e3 % 34.21/9.97 | % 34.21/9.97 +-Applying beta-rule and splitting (237), into two cases. % 34.21/9.97 |-Branch one: % 34.21/9.97 | (431) all_0_41_41 = e3 % 34.21/9.97 | % 34.21/9.97 | Equations (431) can reduce 996 to: % 34.21/9.97 | (303) $false % 34.21/9.97 | % 34.21/9.97 |-The branch is then unsatisfiable % 34.21/9.97 |-Branch two: % 34.21/9.97 | (996) ~ (all_0_41_41 = e3) % 34.21/9.97 | (997) all_0_53_53 = e3 | all_0_57_57 = e3 % 34.21/9.97 | % 34.21/9.97 +-Applying beta-rule and splitting (997), into two cases. % 34.21/9.97 |-Branch one: % 34.21/9.97 | (994) all_0_53_53 = e3 % 34.21/9.97 | % 34.21/9.97 | Combining equations (994,360) yields a new equation: % 34.21/9.97 | (452) e3 = e2 % 34.21/9.97 | % 34.21/9.97 | Simplifying 452 yields: % 34.21/9.97 | (453) e3 = e2 % 34.21/9.97 | % 34.21/9.97 | Equations (453) can reduce 223 to: % 34.21/9.97 | (303) $false % 34.21/9.97 | % 34.21/9.97 |-The branch is then unsatisfiable % 34.21/9.97 |-Branch two: % 34.21/9.97 | (428) ~ (all_0_53_53 = e3) % 34.21/9.97 | (1001) all_0_57_57 = e3 % 34.21/9.97 | % 34.21/9.97 | Combining equations (1001,2625) yields a new equation: % 34.21/9.97 | (13594) all_0_18_18 = e3 % 34.21/9.97 | % 34.21/9.97 | Equations (1001) can reduce 11 to: % 34.21/9.97 | (996) ~ (all_0_41_41 = e3) % 34.21/9.97 | % 34.21/9.97 | Equations (1001) can reduce 172 to: % 34.21/9.97 | (526) ~ (all_0_56_56 = e3) % 34.21/9.97 | % 34.21/9.97 | Equations (1001) can reduce 202 to: % 34.21/9.97 | (439) ~ (e4 = e3) % 34.21/9.97 | % 34.21/9.97 | Simplifying 439 yields: % 34.21/9.97 | (30) ~ (e4 = e3) % 34.21/9.97 | % 34.21/9.97 | Equations (1001) can reduce 377 to: % 34.21/9.97 | (223) ~ (e3 = e2) % 34.21/9.97 | % 34.21/9.97 | Equations (1001) can reduce 2273 to: % 34.21/9.97 | (70) ~ (e3 = e0) % 34.21/9.97 | % 34.21/9.97 | From (1001) and (35) follows: % 34.21/9.97 | (17552) op(e3, e3) = all_0_34_34 % 34.21/9.97 | % 34.21/9.97 +-Applying beta-rule and splitting (196), into two cases. % 34.21/9.97 |-Branch one: % 34.21/9.97 | (723) all_0_40_40 = e4 % 34.21/9.97 | % 34.21/9.97 | Equations (723) can reduce 151 to: % 34.21/9.97 | (19966) ~ (all_0_41_41 = e4) % 34.21/9.97 | % 34.21/9.97 | Simplifying 19966 yields: % 34.21/9.97 | (192) ~ (all_0_41_41 = e4) % 34.21/9.97 | % 34.21/9.97 | Equations (723) can reduce 57 to: % 34.21/9.97 | (2280) ~ (all_0_56_56 = e4) % 34.21/9.97 | % 34.21/9.97 | Simplifying 2280 yields: % 34.21/9.97 | (345) ~ (all_0_56_56 = e4) % 34.21/9.97 | % 34.21/9.97 | Equations (723) can reduce 432 to: % 34.21/9.97 | (30) ~ (e4 = e3) % 34.21/9.97 | % 34.21/9.97 | Equations (723) can reduce 939 to: % 34.21/9.97 | (231) ~ (e4 = e2) % 34.21/9.97 | % 34.21/9.97 | Equations (723) can reduce 288 to: % 34.21/9.97 | (4) ~ (e4 = e0) % 34.21/9.97 | % 34.21/9.97 +-Applying beta-rule and splitting (180), into two cases. % 34.21/9.97 |-Branch one: % 34.21/9.97 | (945) all_0_41_41 = e2 % 34.21/9.97 | % 34.21/9.97 | Equations (945) can reduce 369 to: % 34.21/9.97 | (303) $false % 34.21/9.97 | % 34.21/9.97 |-The branch is then unsatisfiable % 34.21/9.97 |-Branch two: % 34.21/9.97 | (369) ~ (all_0_41_41 = e2) % 34.21/9.97 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 34.21/9.97 | % 34.21/9.97 +-Applying beta-rule and splitting (245), into two cases. % 34.21/9.97 |-Branch one: % 34.21/9.97 | (583) all_0_56_56 = e1 % 34.21/9.97 | % 34.21/9.97 | Combining equations (583,319) yields a new equation: % 34.21/9.97 | (3477) all_0_10_10 = e1 % 34.21/9.97 | % 34.21/9.97 | Equations (583) can reduce 345 to: % 34.21/9.97 | (605) ~ (e4 = e1) % 34.21/9.97 | % 34.21/9.97 | Simplifying 605 yields: % 34.21/9.97 | (247) ~ (e4 = e1) % 34.21/9.97 | % 34.21/9.97 | Equations (583) can reduce 526 to: % 34.21/9.97 | (465) ~ (e3 = e1) % 34.21/9.97 | % 34.21/9.97 | Simplifying 465 yields: % 34.21/9.97 | (136) ~ (e3 = e1) % 34.21/9.97 | % 34.21/9.97 | Equations (583) can reduce 296 to: % 34.21/9.97 | (134) ~ (e1 = e0) % 34.21/9.97 | % 34.21/9.97 | From (583) and (185) follows: % 34.21/9.97 | (3485) op(e1, e4) = all_0_32_32 % 34.21/9.97 | % 34.21/9.97 +-Applying beta-rule and splitting (221), into two cases. % 34.21/9.97 |-Branch one: % 34.21/9.97 | (696) all_0_41_41 = e1 % 34.21/9.97 | % 34.21/9.97 | Equations (696) can reduce 996 to: % 34.21/9.97 | (465) ~ (e3 = e1) % 34.21/9.97 | % 34.21/9.97 | Simplifying 465 yields: % 34.21/9.97 | (136) ~ (e3 = e1) % 34.21/9.97 | % 34.21/9.97 | Equations (696) can reduce 369 to: % 34.21/9.97 | (565) ~ (e2 = e1) % 34.21/9.97 | % 34.21/9.97 | Simplifying 565 yields: % 34.21/9.97 | (144) ~ (e2 = e1) % 34.21/9.97 | % 34.21/9.97 | Equations (696) can reduce 326 to: % 34.21/9.97 | (134) ~ (e1 = e0) % 34.21/9.97 | % 34.21/9.97 | From (696) and (211) follows: % 34.21/9.97 | (6426) op(e1, e4) = all_0_1_1 % 34.21/9.97 | % 34.21/9.97 | From (696) and (26) follows: % 34.21/9.97 | (13268) op(e1, e3) = all_0_2_2 % 34.21/9.97 | % 34.21/9.97 | Instantiating formula (29) with e4, e1, e3, all_0_38_38 and discharging atoms op(e4, e1) = all_0_38_38, op(e4, e1) = e3, yields: % 34.21/9.97 | (3329) all_0_38_38 = e3 % 34.21/9.97 | % 34.21/9.97 | Instantiating formula (29) with e3, e3, all_0_34_34, e4 and discharging atoms op(e3, e3) = all_0_34_34, op(e3, e3) = e4, yields: % 34.21/9.97 | (17594) all_0_34_34 = e4 % 34.21/9.97 | % 34.21/9.97 | Instantiating formula (29) with e3, e1, all_0_6_6, e2 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = e2, yields: % 34.21/9.98 | (3326) all_0_6_6 = e2 % 34.21/9.98 | % 34.21/9.98 | Instantiating formula (29) with e1, e4, all_0_1_1, e3 and discharging atoms op(e1, e4) = all_0_1_1, op(e1, e4) = e3, yields: % 34.21/9.98 | (13310) all_0_1_1 = e3 % 34.21/9.98 | % 34.21/9.98 | Instantiating formula (29) with e1, e4, all_0_32_32, all_0_1_1 and discharging atoms op(e1, e4) = all_0_1_1, op(e1, e4) = all_0_32_32, yields: % 34.21/9.98 | (11410) all_0_1_1 = all_0_32_32 % 34.21/9.98 | % 34.21/9.98 | Instantiating formula (29) with e1, e3, all_0_2_2, e2 and discharging atoms op(e1, e3) = all_0_2_2, op(e1, e3) = e2, yields: % 34.21/9.98 | (13312) all_0_2_2 = e2 % 34.21/9.98 | % 34.21/9.98 | Combining equations (13310,11410) yields a new equation: % 34.21/9.98 | (3595) all_0_32_32 = e3 % 34.29/9.98 | % 34.29/9.98 +-Applying beta-rule and splitting (181), into two cases. % 34.29/9.98 |-Branch one: % 34.29/9.98 | (3497) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_51_51 = all_0_58_58)) % 34.29/9.98 | % 34.29/9.98 +-Applying beta-rule and splitting (3497), into two cases. % 34.29/9.98 |-Branch one: % 34.29/9.98 | (3498) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57)) % 34.29/9.98 | % 34.29/9.98 +-Applying beta-rule and splitting (3498), into two cases. % 34.29/9.98 |-Branch one: % 34.29/9.98 | (3499) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) % 34.29/9.98 | % 34.29/9.98 +-Applying beta-rule and splitting (3499), into two cases. % 34.29/9.98 |-Branch one: % 34.29/9.98 | (3500) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) % 34.29/9.98 | % 34.29/9.98 +-Applying beta-rule and splitting (3500), into two cases. % 34.29/9.98 |-Branch one: % 34.29/9.98 | (3501) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) % 34.29/9.98 | % 34.29/9.98 +-Applying beta-rule and splitting (3501), into two cases. % 34.29/9.98 |-Branch one: % 34.29/9.98 | (3502) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) % 34.29/9.98 | % 34.29/9.98 +-Applying beta-rule and splitting (3502), into two cases. % 34.29/9.98 |-Branch one: % 34.29/9.98 | (3503) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) % 34.29/9.98 | % 34.29/9.98 +-Applying beta-rule and splitting (3503), into two cases. % 34.29/9.98 |-Branch one: % 34.29/9.98 | (3504) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) % 34.29/9.98 | % 34.29/9.98 +-Applying beta-rule and splitting (3504), into two cases. % 34.29/9.98 |-Branch one: % 34.29/9.98 | (3505) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) % 34.29/9.98 | % 34.29/9.98 +-Applying beta-rule and splitting (3505), into two cases. % 34.29/9.98 |-Branch one: % 34.29/9.98 | (3506) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) % 34.29/9.98 | % 34.29/9.98 +-Applying beta-rule and splitting (3506), into two cases. % 34.29/9.98 |-Branch one: % 34.29/9.98 | (3507) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) % 34.29/9.98 | % 34.29/9.98 +-Applying beta-rule and splitting (3507), into two cases. % 34.29/9.98 |-Branch one: % 34.29/9.98 | (3508) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) % 34.29/9.98 | % 34.29/9.98 +-Applying beta-rule and splitting (3508), into two cases. % 34.29/9.98 |-Branch one: % 34.29/9.98 | (3509) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) % 34.29/9.98 | % 34.29/9.98 +-Applying beta-rule and splitting (3509), into two cases. % 34.29/9.98 |-Branch one: % 34.29/9.98 | (3510) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) % 34.29/9.98 | % 34.29/9.98 +-Applying beta-rule and splitting (3510), into two cases. % 34.29/9.98 |-Branch one: % 34.29/9.98 | (3511) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) % 34.29/9.98 | % 34.29/9.98 +-Applying beta-rule and splitting (3511), into two cases. % 34.29/9.98 |-Branch one: % 34.29/9.98 | (3512) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) % 34.29/9.98 | % 34.29/9.98 +-Applying beta-rule and splitting (3512), into two cases. % 34.29/9.98 |-Branch one: % 34.29/9.98 | (3513) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) % 34.29/9.98 | % 34.29/9.98 +-Applying beta-rule and splitting (3513), into two cases. % 34.29/9.98 |-Branch one: % 34.29/9.98 | (3514) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45) % 34.29/9.98 | % 34.29/9.98 | Applying alpha-rule on (3514) yields: % 34.29/9.98 | (3515) all_0_2_2 = e4 % 34.29/9.98 | (3516) ~ (all_0_1_1 = e3) % 34.29/9.98 | (3517) ~ (all_0_41_41 = all_0_45_45) % 34.29/9.98 | % 34.29/9.98 | Combining equations (3515,13312) yields a new equation: % 34.29/9.98 | (878) e4 = e2 % 34.29/9.98 | % 34.29/9.98 | Simplifying 878 yields: % 34.29/9.98 | (470) e4 = e2 % 34.29/9.98 | % 34.29/9.98 | Equations (470) can reduce 231 to: % 34.29/9.98 | (303) $false % 34.29/9.98 | % 34.29/9.98 |-The branch is then unsatisfiable % 34.29/9.98 |-Branch two: % 34.29/9.98 | (3521) all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48) % 34.29/9.98 | % 34.29/9.98 | Applying alpha-rule on (3521) yields: % 34.29/9.98 | (356) all_0_4_4 = e4 % 34.29/9.98 | (3523) ~ (all_0_3_3 = e2) % 34.29/9.98 | (3524) ~ (all_0_42_42 = all_0_48_48) % 34.29/9.98 | % 34.29/9.99 | Combining equations (356,19370) yields a new equation: % 34.29/9.99 | (718) e4 = e3 % 34.29/9.99 | % 34.29/9.99 | Simplifying 718 yields: % 34.29/9.99 | (443) e4 = e3 % 34.29/9.99 | % 34.29/9.99 | Equations (443) can reduce 30 to: % 34.29/9.99 | (303) $false % 34.29/9.99 | % 34.29/9.99 |-The branch is then unsatisfiable % 34.29/9.99 |-Branch two: % 34.29/9.99 | (3526) all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52) % 34.29/9.99 | % 34.29/9.99 | Applying alpha-rule on (3526) yields: % 34.29/9.99 | (3527) all_0_6_6 = e4 % 34.29/9.99 | (3528) ~ (all_0_5_5 = e1) % 34.29/9.99 | (3529) ~ (all_0_43_43 = all_0_52_52) % 34.29/9.99 | % 34.29/9.99 | Combining equations (3527,3326) yields a new equation: % 34.29/9.99 | (878) e4 = e2 % 34.29/9.99 | % 34.29/9.99 | Simplifying 878 yields: % 34.29/9.99 | (470) e4 = e2 % 34.29/9.99 | % 34.29/9.99 | Equations (470) can reduce 231 to: % 34.29/9.99 | (303) $false % 34.29/9.99 | % 34.29/9.99 |-The branch is then unsatisfiable % 34.29/9.99 |-Branch two: % 34.29/9.99 | (3533) all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56) % 34.29/9.99 | % 34.29/9.99 | Applying alpha-rule on (3533) yields: % 34.29/9.99 | (3534) all_0_8_8 = e4 % 34.29/9.99 | (3535) ~ (all_0_7_7 = e0) % 34.29/9.99 | (3536) ~ (all_0_44_44 = all_0_56_56) % 34.29/9.99 | % 34.29/9.99 | Combining equations (3534,19682) yields a new equation: % 34.29/9.99 | (878) e4 = e2 % 34.29/9.99 | % 34.29/9.99 | Simplifying 878 yields: % 34.29/9.99 | (470) e4 = e2 % 34.29/9.99 | % 34.29/9.99 | Equations (470) can reduce 231 to: % 34.29/9.99 | (303) $false % 34.29/9.99 | % 34.29/9.99 |-The branch is then unsatisfiable % 34.29/9.99 |-Branch two: % 34.29/9.99 | (3538) all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45) % 34.29/9.99 | % 34.29/9.99 | Applying alpha-rule on (3538) yields: % 34.29/9.99 | (3539) all_0_10_10 = e3 % 34.29/9.99 | (3540) ~ (all_0_9_9 = e4) % 34.29/9.99 | (3517) ~ (all_0_41_41 = all_0_45_45) % 34.29/9.99 | % 34.29/9.99 | Combining equations (3539,3477) yields a new equation: % 34.29/9.99 | (680) e3 = e1 % 34.29/9.99 | % 34.29/9.99 | Simplifying 680 yields: % 34.29/9.99 | (601) e3 = e1 % 34.29/9.99 | % 34.29/9.99 | Equations (601) can reduce 136 to: % 34.29/9.99 | (303) $false % 34.29/9.99 | % 34.29/9.99 |-The branch is then unsatisfiable % 34.29/9.99 |-Branch two: % 34.29/9.99 | (3545) all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53) % 34.29/9.99 | % 34.29/9.99 | Applying alpha-rule on (3545) yields: % 34.29/9.99 | (3546) all_0_12_12 = e3 % 34.29/9.99 | (3547) ~ (all_0_11_11 = e1) % 34.29/9.99 | (3548) ~ (all_0_46_46 = all_0_53_53) % 34.29/9.99 | % 34.29/9.99 | Combining equations (3546,3272) yields a new equation: % 34.29/9.99 | (680) e3 = e1 % 34.29/9.99 | % 34.29/9.99 | Simplifying 680 yields: % 34.29/9.99 | (601) e3 = e1 % 34.29/9.99 | % 34.29/9.99 | Equations (601) can reduce 136 to: % 34.29/9.99 | (303) $false % 34.29/9.99 | % 34.29/9.99 |-The branch is then unsatisfiable % 34.29/9.99 |-Branch two: % 34.29/9.99 | (3552) all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57) % 34.29/9.99 | % 34.29/9.99 | Applying alpha-rule on (3552) yields: % 34.29/9.99 | (3553) all_0_14_14 = e3 % 34.29/9.99 | (3554) ~ (all_0_13_13 = e0) % 34.29/9.99 | (3555) ~ (all_0_47_47 = all_0_57_57) % 34.29/9.99 | % 34.29/9.99 | Equations (309,1001) can reduce 3555 to: % 34.29/9.99 | (303) $false % 34.29/9.99 | % 34.29/9.99 |-The branch is then unsatisfiable % 34.29/9.99 |-Branch two: % 34.29/9.99 | (3557) all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48) % 34.29/9.99 | % 34.29/9.99 | Applying alpha-rule on (3557) yields: % 34.29/9.99 | (3558) all_0_16_16 = e2 % 34.29/9.99 | (3559) ~ (all_0_15_15 = e4) % 34.29/9.99 | (3524) ~ (all_0_42_42 = all_0_48_48) % 34.29/9.99 | % 34.29/9.99 | Equations (959,727) can reduce 3524 to: % 34.29/9.99 | (303) $false % 34.29/9.99 | % 34.29/9.99 |-The branch is then unsatisfiable % 34.29/9.99 |-Branch two: % 34.29/9.99 | (3562) all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1) % 34.29/9.99 | % 34.29/9.99 | Applying alpha-rule on (3562) yields: % 34.29/9.99 | (3563) all_0_18_18 = e2 % 34.29/9.99 | (3564) ~ (all_0_17_17 = e3) % 34.29/9.99 | (506) ~ (all_0_49_49 = e1) % 34.29/9.99 | % 34.29/9.99 | Combining equations (3563,13594) yields a new equation: % 34.29/9.99 | (453) e3 = e2 % 34.29/9.99 | % 34.29/9.99 | Equations (453) can reduce 223 to: % 34.29/9.99 | (303) $false % 34.29/9.99 | % 34.29/9.99 |-The branch is then unsatisfiable % 34.29/9.99 |-Branch two: % 34.29/9.99 | (3567) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54) % 34.29/9.99 | % 34.29/9.99 | Applying alpha-rule on (3567) yields: % 34.29/9.99 | (3568) all_0_20_20 = e2 % 34.29/9.99 | (3569) ~ (all_0_19_19 = e1) % 34.29/9.99 | (3570) ~ (all_0_50_50 = all_0_54_54) % 34.29/9.99 | % 34.29/9.99 | Combining equations (3568,3327) yields a new equation: % 34.29/9.99 | (403) e2 = e0 % 34.29/9.99 | % 34.29/9.99 | Simplifying 403 yields: % 34.29/9.99 | (385) e2 = e0 % 34.29/9.99 | % 34.29/9.99 | Equations (385) can reduce 51 to: % 34.29/9.99 | (303) $false % 34.29/9.99 | % 34.29/9.99 |-The branch is then unsatisfiable % 34.29/9.99 |-Branch two: % 34.29/9.99 | (3574) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58) % 34.29/9.99 | % 34.29/9.99 | Applying alpha-rule on (3574) yields: % 34.29/9.99 | (3575) all_0_22_22 = e2 % 34.29/9.99 | (3576) ~ (all_0_21_21 = e0) % 34.29/9.99 | (3577) ~ (all_0_51_51 = all_0_58_58) % 34.29/9.99 | % 34.29/9.99 | Combining equations (3575,19704) yields a new equation: % 34.29/9.99 | (403) e2 = e0 % 34.29/9.99 | % 34.29/9.99 | Simplifying 403 yields: % 34.29/9.99 | (385) e2 = e0 % 34.29/9.99 | % 34.29/9.99 | Equations (385) can reduce 51 to: % 34.29/9.99 | (303) $false % 34.29/9.99 | % 34.29/9.99 |-The branch is then unsatisfiable % 34.29/9.99 |-Branch two: % 34.29/9.99 | (3579) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52) % 34.29/9.99 | % 34.29/9.99 | Applying alpha-rule on (3579) yields: % 34.29/9.99 | (3580) all_0_24_24 = e1 % 34.29/9.99 | (3581) ~ (all_0_23_23 = e4) % 34.31/10.00 | (3529) ~ (all_0_43_43 = all_0_52_52) % 34.31/10.00 | % 34.31/10.00 | Combining equations (3580,3590) yields a new equation: % 34.31/10.00 | (670) e1 = e0 % 34.31/10.00 | % 34.31/10.00 | Simplifying 670 yields: % 34.31/10.00 | (590) e1 = e0 % 34.31/10.00 | % 34.31/10.00 | Equations (590) can reduce 134 to: % 34.31/10.00 | (303) $false % 34.31/10.00 | % 34.31/10.00 |-The branch is then unsatisfiable % 34.31/10.00 |-Branch two: % 34.31/10.00 | (3584) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53) % 34.31/10.00 | % 34.31/10.00 | Applying alpha-rule on (3584) yields: % 34.31/10.00 | (3585) all_0_26_26 = e1 % 34.31/10.00 | (3586) ~ (all_0_25_25 = e3) % 34.31/10.00 | (3548) ~ (all_0_46_46 = all_0_53_53) % 34.31/10.00 | % 34.31/10.00 | Combining equations (3585,12672) yields a new equation: % 34.31/10.00 | (670) e1 = e0 % 34.31/10.00 | % 34.31/10.00 | Simplifying 670 yields: % 34.31/10.00 | (590) e1 = e0 % 34.31/10.00 | % 34.31/10.00 | Equations (590) can reduce 134 to: % 34.31/10.00 | (303) $false % 34.31/10.00 | % 34.31/10.00 |-The branch is then unsatisfiable % 34.31/10.00 |-Branch two: % 34.31/10.00 | (3641) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54) % 34.31/10.00 | % 34.31/10.00 | Applying alpha-rule on (3641) yields: % 34.31/10.00 | (3642) all_0_28_28 = e1 % 34.31/10.00 | (3643) ~ (all_0_27_27 = e2) % 34.31/10.00 | (3570) ~ (all_0_50_50 = all_0_54_54) % 34.31/10.00 | % 34.31/10.00 | Combining equations (3642,19356) yields a new equation: % 34.31/10.00 | (585) e2 = e1 % 34.31/10.00 | % 34.31/10.00 | Equations (585) can reduce 144 to: % 34.31/10.00 | (303) $false % 34.31/10.00 | % 34.31/10.00 |-The branch is then unsatisfiable % 34.31/10.00 |-Branch two: % 34.31/10.00 | (3647) all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59) % 34.31/10.00 | % 34.31/10.00 | Applying alpha-rule on (3647) yields: % 34.31/10.00 | (3648) all_0_30_30 = e1 % 34.31/10.00 | (3649) ~ (all_0_29_29 = e0) % 34.31/10.00 | (3650) ~ (all_0_55_55 = all_0_59_59) % 34.31/10.00 | % 34.31/10.00 | Equations (15604) can reduce 3649 to: % 34.31/10.00 | (303) $false % 34.31/10.00 | % 34.31/10.00 |-The branch is then unsatisfiable % 34.31/10.00 |-Branch two: % 34.31/10.00 | (3652) all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56) % 34.31/10.00 | % 34.31/10.00 | Applying alpha-rule on (3652) yields: % 34.31/10.00 | (3653) all_0_32_32 = e0 % 34.31/10.00 | (3654) ~ (all_0_31_31 = e4) % 34.31/10.00 | (3536) ~ (all_0_44_44 = all_0_56_56) % 34.31/10.00 | % 34.31/10.00 | Combining equations (3595,3653) yields a new equation: % 34.31/10.00 | (496) e3 = e0 % 34.31/10.00 | % 34.31/10.00 | Simplifying 496 yields: % 34.31/10.00 | (497) e3 = e0 % 34.31/10.00 | % 34.31/10.00 | Equations (497) can reduce 70 to: % 34.31/10.00 | (303) $false % 34.31/10.00 | % 34.31/10.00 |-The branch is then unsatisfiable % 34.31/10.00 |-Branch two: % 34.31/10.00 | (3657) all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57) % 34.31/10.00 | % 34.31/10.00 | Applying alpha-rule on (3657) yields: % 34.31/10.00 | (421) all_0_34_34 = e0 % 34.31/10.00 | (3659) ~ (all_0_33_33 = e3) % 34.31/10.00 | (3555) ~ (all_0_47_47 = all_0_57_57) % 34.31/10.00 | % 34.31/10.00 | Combining equations (17594,421) yields a new equation: % 34.31/10.00 | (1573) e4 = e0 % 34.31/10.00 | % 34.31/10.00 | Simplifying 1573 yields: % 34.31/10.00 | (654) e4 = e0 % 34.31/10.00 | % 34.31/10.00 | Equations (654) can reduce 4 to: % 34.31/10.00 | (303) $false % 34.31/10.00 | % 34.31/10.00 |-The branch is then unsatisfiable % 34.31/10.00 |-Branch two: % 34.31/10.00 | (3662) all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_51_51 = all_0_58_58) % 34.31/10.00 | % 34.31/10.00 | Applying alpha-rule on (3662) yields: % 34.31/10.00 | (354) all_0_36_36 = e0 % 34.31/10.00 | (3664) ~ (all_0_35_35 = e2) % 34.31/10.00 | (3577) ~ (all_0_51_51 = all_0_58_58) % 34.31/10.00 | % 34.31/10.00 | Equations (10917) can reduce 3664 to: % 34.31/10.00 | (303) $false % 34.31/10.00 | % 34.31/10.00 |-The branch is then unsatisfiable % 34.31/10.00 |-Branch two: % 34.31/10.00 | (3667) all_0_38_38 = e0 & ~ (all_0_37_37 = e1) & ~ (all_0_55_55 = all_0_59_59) % 34.31/10.00 | % 34.31/10.00 | Applying alpha-rule on (3667) yields: % 34.31/10.00 | (3668) all_0_38_38 = e0 % 34.31/10.00 | (3669) ~ (all_0_37_37 = e1) % 34.31/10.00 | (3650) ~ (all_0_55_55 = all_0_59_59) % 34.31/10.00 | % 34.31/10.00 | Combining equations (3329,3668) yields a new equation: % 34.31/10.00 | (496) e3 = e0 % 34.31/10.00 | % 34.31/10.00 | Simplifying 496 yields: % 34.31/10.00 | (497) e3 = e0 % 34.31/10.00 | % 34.31/10.00 | Equations (497) can reduce 70 to: % 34.31/10.00 | (303) $false % 34.31/10.00 | % 34.31/10.00 |-The branch is then unsatisfiable % 34.31/10.00 |-Branch two: % 34.31/10.00 | (699) ~ (all_0_41_41 = e1) % 34.31/10.00 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 34.31/10.00 | % 34.31/10.00 +-Applying beta-rule and splitting (44), into two cases. % 34.31/10.00 |-Branch one: % 34.31/10.00 | (624) all_0_40_40 = e1 % 34.31/10.00 | % 34.31/10.00 | Combining equations (723,624) yields a new equation: % 34.31/10.00 | (540) e4 = e1 % 34.31/10.00 | % 34.31/10.00 | Simplifying 540 yields: % 34.31/10.00 | (541) e4 = e1 % 34.31/10.00 | % 34.31/10.00 | Equations (541) can reduce 247 to: % 34.31/10.00 | (303) $false % 34.31/10.00 | % 34.31/10.00 |-The branch is then unsatisfiable % 34.31/10.00 |-Branch two: % 34.31/10.00 | (683) ~ (all_0_40_40 = e1) % 34.31/10.00 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 34.31/10.00 | % 34.31/10.00 +-Applying beta-rule and splitting (1017), into two cases. % 34.31/10.00 |-Branch one: % 34.31/10.00 | (696) all_0_41_41 = e1 % 34.31/10.00 | % 34.31/10.00 | Equations (696) can reduce 699 to: % 34.31/10.00 | (303) $false % 34.31/10.00 | % 34.31/10.00 |-The branch is then unsatisfiable % 34.31/10.00 |-Branch two: % 34.31/10.00 | (699) ~ (all_0_41_41 = e1) % 34.31/10.00 | (2158) all_0_41_41 = e3 | all_0_41_41 = e0 % 34.31/10.00 | % 34.31/10.00 +-Applying beta-rule and splitting (2154), into two cases. % 34.31/10.00 |-Branch one: % 34.31/10.00 | (1580) all_0_49_49 = e1 % 34.31/10.00 | % 34.31/10.00 | Combining equations (384,1580) yields a new equation: % 34.31/10.00 | (590) e1 = e0 % 34.31/10.00 | % 34.31/10.00 | Equations (590) can reduce 134 to: % 34.31/10.00 | (303) $false % 34.31/10.00 | % 34.31/10.00 |-The branch is then unsatisfiable % 34.31/10.00 |-Branch two: % 34.31/10.00 | (506) ~ (all_0_49_49 = e1) % 34.31/10.00 | (2676) all_0_53_53 = e1 | all_0_57_57 = e1 % 34.31/10.00 | % 34.31/10.00 | Equations (384) can reduce 506 to: % 34.31/10.00 | (661) ~ (e1 = e0) % 34.31/10.00 | % 34.31/10.00 | Simplifying 661 yields: % 34.31/10.00 | (134) ~ (e1 = e0) % 34.31/10.00 | % 34.31/10.00 +-Applying beta-rule and splitting (688), into two cases. % 34.31/10.00 |-Branch one: % 34.31/10.00 | (696) all_0_41_41 = e1 % 34.31/10.00 | % 34.31/10.00 | Equations (696) can reduce 699 to: % 34.31/10.00 | (303) $false % 34.31/10.00 | % 34.31/10.00 |-The branch is then unsatisfiable % 34.31/10.00 |-Branch two: % 34.31/10.00 | (699) ~ (all_0_41_41 = e1) % 34.31/10.00 | (700) all_0_43_43 = e1 | all_0_44_44 = e1 % 34.31/10.00 | % 34.31/10.00 +-Applying beta-rule and splitting (700), into two cases. % 34.31/10.00 |-Branch one: % 34.31/10.00 | (618) all_0_43_43 = e1 % 34.31/10.00 | % 34.31/10.00 | Combining equations (447,618) yields a new equation: % 34.31/10.00 | (680) e3 = e1 % 34.31/10.00 | % 34.31/10.00 | Simplifying 680 yields: % 34.31/10.00 | (601) e3 = e1 % 34.31/10.00 | % 34.31/10.00 | Equations (601) can reduce 136 to: % 34.31/10.00 | (303) $false % 34.31/10.00 | % 34.31/10.00 |-The branch is then unsatisfiable % 34.31/10.00 |-Branch two: % 34.31/10.00 | (622) ~ (all_0_43_43 = e1) % 34.31/10.00 | (705) all_0_44_44 = e1 % 34.31/10.00 | % 34.31/10.00 | Combining equations (2078,705) yields a new equation: % 34.31/10.00 | (590) e1 = e0 % 34.31/10.00 | % 34.31/10.00 | Equations (590) can reduce 134 to: % 34.31/10.00 | (303) $false % 34.31/10.00 | % 34.31/10.00 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (587) ~ (all_0_56_56 = e1) % 34.31/10.01 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (221), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (696) all_0_41_41 = e1 % 34.31/10.01 | % 34.31/10.01 | Equations (696) can reduce 192 to: % 34.31/10.01 | (605) ~ (e4 = e1) % 34.31/10.01 | % 34.31/10.01 | Simplifying 605 yields: % 34.31/10.01 | (247) ~ (e4 = e1) % 34.31/10.01 | % 34.31/10.01 | Equations (696) can reduce 996 to: % 34.31/10.01 | (465) ~ (e3 = e1) % 34.31/10.01 | % 34.31/10.01 | Simplifying 465 yields: % 34.31/10.01 | (136) ~ (e3 = e1) % 34.31/10.01 | % 34.31/10.01 | Equations (696) can reduce 369 to: % 34.31/10.01 | (565) ~ (e2 = e1) % 34.31/10.01 | % 34.31/10.01 | Simplifying 565 yields: % 34.31/10.01 | (144) ~ (e2 = e1) % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (175), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (624) all_0_40_40 = e1 % 34.31/10.01 | % 34.31/10.01 | Combining equations (723,624) yields a new equation: % 34.31/10.01 | (540) e4 = e1 % 34.31/10.01 | % 34.31/10.01 | Simplifying 540 yields: % 34.31/10.01 | (541) e4 = e1 % 34.31/10.01 | % 34.31/10.01 | Equations (541) can reduce 247 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (683) ~ (all_0_40_40 = e1) % 34.31/10.01 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 34.31/10.01 | % 34.31/10.01 | Equations (723) can reduce 683 to: % 34.31/10.01 | (247) ~ (e4 = e1) % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (588), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (589) all_0_57_57 = e1 % 34.31/10.01 | % 34.31/10.01 | Combining equations (589,1001) yields a new equation: % 34.31/10.01 | (601) e3 = e1 % 34.31/10.01 | % 34.31/10.01 | Equations (601) can reduce 136 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (592) ~ (all_0_57_57 = e1) % 34.31/10.01 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (684), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (748) all_0_48_48 = e1 % 34.31/10.01 | % 34.31/10.01 | Combining equations (727,748) yields a new equation: % 34.31/10.01 | (584) e2 = e1 % 34.31/10.01 | % 34.31/10.01 | Simplifying 584 yields: % 34.31/10.01 | (585) e2 = e1 % 34.31/10.01 | % 34.31/10.01 | Equations (585) can reduce 144 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (802) ~ (all_0_48_48 = e1) % 34.31/10.01 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 34.31/10.01 | % 34.31/10.01 | Equations (727) can reduce 802 to: % 34.31/10.01 | (144) ~ (e2 = e1) % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (593), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (600) all_0_59_59 = e1 % 34.31/10.01 | % 34.31/10.01 | Combining equations (717,600) yields a new equation: % 34.31/10.01 | (540) e4 = e1 % 34.31/10.01 | % 34.31/10.01 | Simplifying 540 yields: % 34.31/10.01 | (541) e4 = e1 % 34.31/10.01 | % 34.31/10.01 | Equations (541) can reduce 247 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (603) ~ (all_0_59_59 = e1) % 34.31/10.01 | (604) all_0_60_60 = e1 % 34.31/10.01 | % 34.31/10.01 | Combining equations (913,604) yields a new equation: % 34.31/10.01 | (584) e2 = e1 % 34.31/10.01 | % 34.31/10.01 | Simplifying 584 yields: % 34.31/10.01 | (585) e2 = e1 % 34.31/10.01 | % 34.31/10.01 | Equations (585) can reduce 144 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (699) ~ (all_0_41_41 = e1) % 34.31/10.01 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (175), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (624) all_0_40_40 = e1 % 34.31/10.01 | % 34.31/10.01 | Combining equations (723,624) yields a new equation: % 34.31/10.01 | (540) e4 = e1 % 34.31/10.01 | % 34.31/10.01 | Simplifying 540 yields: % 34.31/10.01 | (541) e4 = e1 % 34.31/10.01 | % 34.31/10.01 | Equations (541) can reduce 247 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (683) ~ (all_0_40_40 = e1) % 34.31/10.01 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 34.31/10.01 | % 34.31/10.01 | Equations (723) can reduce 683 to: % 34.31/10.01 | (247) ~ (e4 = e1) % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (2154), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (1580) all_0_49_49 = e1 % 34.31/10.01 | % 34.31/10.01 | Combining equations (384,1580) yields a new equation: % 34.31/10.01 | (590) e1 = e0 % 34.31/10.01 | % 34.31/10.01 | Equations (590) can reduce 134 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (506) ~ (all_0_49_49 = e1) % 34.31/10.01 | (2676) all_0_53_53 = e1 | all_0_57_57 = e1 % 34.31/10.01 | % 34.31/10.01 | Equations (384) can reduce 506 to: % 34.31/10.01 | (661) ~ (e1 = e0) % 34.31/10.01 | % 34.31/10.01 | Simplifying 661 yields: % 34.31/10.01 | (134) ~ (e1 = e0) % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (44), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (624) all_0_40_40 = e1 % 34.31/10.01 | % 34.31/10.01 | Combining equations (723,624) yields a new equation: % 34.31/10.01 | (540) e4 = e1 % 34.31/10.01 | % 34.31/10.01 | Simplifying 540 yields: % 34.31/10.01 | (541) e4 = e1 % 34.31/10.01 | % 34.31/10.01 | Equations (541) can reduce 247 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (683) ~ (all_0_40_40 = e1) % 34.31/10.01 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (688), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (696) all_0_41_41 = e1 % 34.31/10.01 | % 34.31/10.01 | Equations (696) can reduce 699 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (699) ~ (all_0_41_41 = e1) % 34.31/10.01 | (700) all_0_43_43 = e1 | all_0_44_44 = e1 % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (700), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (618) all_0_43_43 = e1 % 34.31/10.01 | % 34.31/10.01 | Combining equations (447,618) yields a new equation: % 34.31/10.01 | (680) e3 = e1 % 34.31/10.01 | % 34.31/10.01 | Simplifying 680 yields: % 34.31/10.01 | (601) e3 = e1 % 34.31/10.01 | % 34.31/10.01 | Equations (601) can reduce 136 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (622) ~ (all_0_43_43 = e1) % 34.31/10.01 | (705) all_0_44_44 = e1 % 34.31/10.01 | % 34.31/10.01 | Combining equations (2078,705) yields a new equation: % 34.31/10.01 | (590) e1 = e0 % 34.31/10.01 | % 34.31/10.01 | Equations (590) can reduce 134 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (844) ~ (all_0_40_40 = e4) % 34.31/10.01 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (21), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (723) all_0_40_40 = e4 % 34.31/10.01 | % 34.31/10.01 | Equations (723) can reduce 844 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (844) ~ (all_0_40_40 = e4) % 34.31/10.01 | (6577) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (845), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (609) all_0_48_48 = e4 % 34.31/10.01 | % 34.31/10.01 | Combining equations (727,609) yields a new equation: % 34.31/10.01 | (470) e4 = e2 % 34.31/10.01 | % 34.31/10.01 | Equations (470) can reduce 231 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (721) ~ (all_0_48_48 = e4) % 34.31/10.01 | (871) all_0_52_52 = e4 | all_0_56_56 = e4 % 34.31/10.01 | % 34.31/10.01 | Equations (727) can reduce 721 to: % 34.31/10.01 | (261) ~ (e4 = e2) % 34.31/10.01 | % 34.31/10.01 | Simplifying 261 yields: % 34.31/10.01 | (231) ~ (e4 = e2) % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (6577), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (3175) all_0_42_42 = e4 % 34.31/10.01 | % 34.31/10.01 | Combining equations (959,3175) yields a new equation: % 34.31/10.01 | (470) e4 = e2 % 34.31/10.01 | % 34.31/10.01 | Equations (470) can reduce 231 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (6245) ~ (all_0_42_42 = e4) % 34.31/10.01 | (6600) all_0_43_43 = e4 | all_0_44_44 = e4 % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (6600), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (614) all_0_43_43 = e4 % 34.31/10.01 | % 34.31/10.01 | Combining equations (447,614) yields a new equation: % 34.31/10.01 | (443) e4 = e3 % 34.31/10.01 | % 34.31/10.01 | Equations (443) can reduce 30 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (712) ~ (all_0_43_43 = e4) % 34.31/10.01 | (1096) all_0_44_44 = e4 % 34.31/10.01 | % 34.31/10.01 | Combining equations (2078,1096) yields a new equation: % 34.31/10.01 | (654) e4 = e0 % 34.31/10.01 | % 34.31/10.01 | Equations (654) can reduce 4 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (434) ~ (all_0_43_43 = e3) % 34.31/10.01 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (450), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (451) all_0_46_46 = e3 % 34.31/10.01 | % 34.31/10.01 | Combining equations (252,451) yields a new equation: % 34.31/10.01 | (453) e3 = e2 % 34.31/10.01 | % 34.31/10.01 | Equations (453) can reduce 223 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (455) ~ (all_0_46_46 = e3) % 34.31/10.01 | (456) all_0_59_59 = e3 % 34.31/10.01 | % 34.31/10.01 | Combining equations (717,456) yields a new equation: % 34.31/10.01 | (718) e4 = e3 % 34.31/10.01 | % 34.31/10.01 | Simplifying 718 yields: % 34.31/10.01 | (443) e4 = e3 % 34.31/10.01 | % 34.31/10.01 | Equations (443) can reduce 30 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (571) ~ (all_0_60_60 = e2) % 34.31/10.01 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (367), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (714) all_0_50_50 = e4 % 34.31/10.01 | % 34.31/10.01 | Equations (714) can reduce 611 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (611) ~ (all_0_50_50 = e4) % 34.31/10.01 | (627) all_0_50_50 = e1 % 34.31/10.01 | % 34.31/10.01 | Equations (627) can reduce 258 to: % 34.31/10.01 | (565) ~ (e2 = e1) % 34.31/10.01 | % 34.31/10.01 | Simplifying 565 yields: % 34.31/10.01 | (144) ~ (e2 = e1) % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (916), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (302) all_0_47_47 = e2 % 34.31/10.01 | % 34.31/10.01 | Combining equations (309,302) yields a new equation: % 34.31/10.01 | (452) e3 = e2 % 34.31/10.01 | % 34.31/10.01 | Simplifying 452 yields: % 34.31/10.01 | (453) e3 = e2 % 34.31/10.01 | % 34.31/10.01 | Equations (453) can reduce 223 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (256) ~ (all_0_47_47 = e2) % 34.31/10.01 | (926) all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (926), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (927) all_0_51_51 = e2 % 34.31/10.01 | % 34.31/10.01 | Combining equations (927,1501) yields a new equation: % 34.31/10.01 | (470) e4 = e2 % 34.31/10.01 | % 34.31/10.01 | Equations (470) can reduce 231 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (373) ~ (all_0_51_51 = e2) % 34.31/10.01 | (931) all_0_55_55 = e2 | all_0_60_60 = e2 % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (931), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (932) all_0_55_55 = e2 % 34.31/10.01 | % 34.31/10.01 | Combining equations (530,932) yields a new equation: % 34.31/10.01 | (585) e2 = e1 % 34.31/10.01 | % 34.31/10.01 | Equations (585) can reduce 144 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (276) ~ (all_0_55_55 = e2) % 34.31/10.01 | (913) all_0_60_60 = e2 % 34.31/10.01 | % 34.31/10.01 | Equations (913) can reduce 571 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (1504) ~ (all_0_51_51 = e4) % 34.31/10.01 | (6452) all_0_51_51 = e1 | all_0_51_51 = e0 % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (234), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (609) all_0_48_48 = e4 % 34.31/10.01 | % 34.31/10.01 | Combining equations (727,609) yields a new equation: % 34.31/10.01 | (470) e4 = e2 % 34.31/10.01 | % 34.31/10.01 | Equations (470) can reduce 231 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (721) ~ (all_0_48_48 = e4) % 34.31/10.01 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (896), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (897) all_0_57_57 = e2 % 34.31/10.01 | % 34.31/10.01 | Equations (897) can reduce 377 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (377) ~ (all_0_57_57 = e2) % 34.31/10.01 | (902) all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (902), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (340) all_0_58_58 = e2 % 34.31/10.01 | % 34.31/10.01 | Combining equations (989,340) yields a new equation: % 34.31/10.01 | (385) e2 = e0 % 34.31/10.01 | % 34.31/10.01 | Equations (385) can reduce 51 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (278) ~ (all_0_58_58 = e2) % 34.31/10.01 | (908) all_0_59_59 = e2 | all_0_60_60 = e2 % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (908), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (909) all_0_59_59 = e2 % 34.31/10.01 | % 34.31/10.01 | Equations (909) can reduce 260 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (260) ~ (all_0_59_59 = e2) % 34.31/10.01 | (913) all_0_60_60 = e2 % 34.31/10.01 | % 34.31/10.01 | Equations (913) can reduce 174 to: % 34.31/10.01 | (594) ~ (all_0_56_56 = e2) % 34.31/10.01 | % 34.31/10.01 | Equations (913) can reduce 501 to: % 34.31/10.01 | (144) ~ (e2 = e1) % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (722), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (714) all_0_50_50 = e4 % 34.31/10.01 | % 34.31/10.01 | Equations (714) can reduce 126 to: % 34.31/10.01 | (347) ~ (all_0_59_59 = e4) % 34.31/10.01 | % 34.31/10.01 | Simplifying 347 yields: % 34.31/10.01 | (348) ~ (all_0_59_59 = e4) % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (228), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (748) all_0_48_48 = e1 % 34.31/10.01 | % 34.31/10.01 | Combining equations (727,748) yields a new equation: % 34.31/10.01 | (584) e2 = e1 % 34.31/10.01 | % 34.31/10.01 | Simplifying 584 yields: % 34.31/10.01 | (585) e2 = e1 % 34.31/10.01 | % 34.31/10.01 | Equations (585) can reduce 144 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (802) ~ (all_0_48_48 = e1) % 34.31/10.01 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (803), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (1580) all_0_49_49 = e1 % 34.31/10.01 | % 34.31/10.01 | Combining equations (384,1580) yields a new equation: % 34.31/10.01 | (590) e1 = e0 % 34.31/10.01 | % 34.31/10.01 | Equations (590) can reduce 134 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (506) ~ (all_0_49_49 = e1) % 34.31/10.01 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (511), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (587) ~ (all_0_56_56 = e1) % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (141), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (580) all_0_56_56 = e2 % 34.31/10.01 | % 34.31/10.01 | Equations (580) can reduce 594 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (594) ~ (all_0_56_56 = e2) % 34.31/10.01 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (979), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (877) all_0_56_56 = e4 % 34.31/10.01 | % 34.31/10.01 | Equations (877) can reduce 587 to: % 34.31/10.01 | (247) ~ (e4 = e1) % 34.31/10.01 | % 34.31/10.01 +-Applying beta-rule and splitting (1585), into two cases. % 34.31/10.01 |-Branch one: % 34.31/10.01 | (627) all_0_50_50 = e1 % 34.31/10.01 | % 34.31/10.01 | Combining equations (714,627) yields a new equation: % 34.31/10.01 | (540) e4 = e1 % 34.31/10.01 | % 34.31/10.01 | Simplifying 540 yields: % 34.31/10.01 | (541) e4 = e1 % 34.31/10.01 | % 34.31/10.01 | Equations (541) can reduce 247 to: % 34.31/10.01 | (303) $false % 34.31/10.01 | % 34.31/10.01 |-The branch is then unsatisfiable % 34.31/10.01 |-Branch two: % 34.31/10.01 | (678) ~ (all_0_50_50 = e1) % 34.31/10.01 | (1590) all_0_51_51 = e1 % 34.31/10.01 | % 34.33/10.01 | Equations (1590) can reduce 500 to: % 34.33/10.01 | (303) $false % 34.33/10.01 | % 34.33/10.01 |-The branch is then unsatisfiable % 34.33/10.01 |-Branch two: % 34.33/10.01 | (345) ~ (all_0_56_56 = e4) % 34.33/10.01 | (2325) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 34.33/10.01 | % 34.33/10.01 +-Applying beta-rule and splitting (2325), into two cases. % 34.33/10.01 |-Branch one: % 34.33/10.01 | (583) all_0_56_56 = e1 % 34.33/10.01 | % 34.33/10.01 | Equations (583) can reduce 587 to: % 34.33/10.01 | (303) $false % 34.33/10.01 | % 34.33/10.01 |-The branch is then unsatisfiable % 34.33/10.01 |-Branch two: % 34.33/10.02 | (587) ~ (all_0_56_56 = e1) % 34.33/10.02 | (2329) all_0_56_56 = e3 | all_0_56_56 = e0 % 34.33/10.02 | % 34.33/10.02 +-Applying beta-rule and splitting (2329), into two cases. % 34.33/10.02 |-Branch one: % 34.33/10.02 | (2307) all_0_56_56 = e0 % 34.33/10.02 | % 34.33/10.02 | Equations (2307) can reduce 296 to: % 34.33/10.02 | (303) $false % 34.33/10.02 | % 34.33/10.02 |-The branch is then unsatisfiable % 34.33/10.02 |-Branch two: % 34.33/10.02 | (296) ~ (all_0_56_56 = e0) % 34.33/10.02 | (1111) all_0_56_56 = e3 % 34.33/10.02 | % 34.33/10.02 | Equations (1111) can reduce 526 to: % 34.33/10.02 | (303) $false % 34.33/10.02 | % 34.33/10.02 |-The branch is then unsatisfiable % 34.33/10.02 |-Branch two: % 34.33/10.02 | (583) all_0_56_56 = e1 % 34.33/10.02 | (717) all_0_59_59 = e4 % 34.33/10.02 | % 34.33/10.02 | Equations (717) can reduce 348 to: % 34.33/10.02 | (303) $false % 34.33/10.02 | % 34.33/10.02 |-The branch is then unsatisfiable % 34.33/10.02 |-Branch two: % 34.33/10.02 | (611) ~ (all_0_50_50 = e4) % 34.33/10.02 | (1501) all_0_51_51 = e4 % 34.33/10.02 | % 34.33/10.02 | Equations (1501) can reduce 1504 to: % 34.33/10.02 | (303) $false % 34.33/10.02 | % 34.33/10.02 |-The branch is then unsatisfiable % 34.33/10.02 |-Branch two: % 34.33/10.02 | (544) ~ (all_0_48_48 = e2) % 34.33/10.02 | (2476) all_0_49_49 = e2 | all_0_50_50 = e2 | all_0_51_51 = e2 % 34.33/10.02 | % 34.33/10.02 +-Applying beta-rule and splitting (96), into two cases. % 34.33/10.02 |-Branch one: % 34.33/10.02 | (917) all_0_40_40 = e2 % 34.33/10.02 | % 34.33/10.02 | Equations (917) can reduce 939 to: % 34.33/10.02 | (303) $false % 34.33/10.02 | % 34.33/10.02 |-The branch is then unsatisfiable % 34.33/10.02 |-Branch two: % 34.33/10.02 | (939) ~ (all_0_40_40 = e2) % 34.33/10.02 | (944) all_0_45_45 = e2 | all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 34.33/10.02 | % 34.33/10.02 +-Applying beta-rule and splitting (944), into two cases. % 34.33/10.02 |-Branch one: % 34.33/10.02 | (951) all_0_45_45 = e2 % 34.33/10.02 | % 34.33/10.02 | Combining equations (951,287) yields a new equation: % 34.33/10.02 | (403) e2 = e0 % 34.33/10.02 | % 34.33/10.02 | Simplifying 403 yields: % 34.33/10.02 | (385) e2 = e0 % 34.33/10.02 | % 34.33/10.02 | Equations (385) can reduce 51 to: % 34.33/10.02 | (303) $false % 34.33/10.02 | % 34.33/10.02 |-The branch is then unsatisfiable % 34.33/10.02 |-Branch two: % 34.33/10.02 | (254) ~ (all_0_45_45 = e2) % 34.33/10.02 | (956) all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 34.33/10.02 | % 34.33/10.02 +-Applying beta-rule and splitting (956), into two cases. % 34.33/10.02 |-Branch one: % 34.33/10.02 | (727) all_0_48_48 = e2 % 34.33/10.02 | % 34.33/10.02 | Equations (727) can reduce 544 to: % 34.33/10.02 | (303) $false % 34.33/10.02 | % 34.33/10.02 |-The branch is then unsatisfiable % 34.33/10.02 |-Branch two: % 34.33/10.02 | (544) ~ (all_0_48_48 = e2) % 34.33/10.02 | (975) all_0_52_52 = e2 | all_0_56_56 = e2 % 34.33/10.02 | % 34.33/10.02 +-Applying beta-rule and splitting (975), into two cases. % 34.33/10.02 |-Branch one: % 34.33/10.02 | (980) all_0_52_52 = e2 % 34.33/10.02 | % 34.33/10.02 | Combining equations (425,980) yields a new equation: % 34.33/10.02 | (452) e3 = e2 % 34.33/10.02 | % 34.33/10.02 | Simplifying 452 yields: % 34.33/10.02 | (453) e3 = e2 % 34.33/10.02 | % 34.33/10.02 | Equations (453) can reduce 223 to: % 34.33/10.02 | (303) $false % 34.33/10.02 | % 34.33/10.02 |-The branch is then unsatisfiable % 34.33/10.02 |-Branch two: % 34.33/10.02 | (273) ~ (all_0_52_52 = e2) % 34.33/10.02 | (580) all_0_56_56 = e2 % 34.33/10.02 | % 34.33/10.02 | Equations (580) can reduce 172 to: % 34.33/10.02 | (376) ~ (all_0_57_57 = e2) % 34.33/10.02 | % 34.33/10.02 | Simplifying 376 yields: % 34.33/10.02 | (377) ~ (all_0_57_57 = e2) % 34.33/10.02 | % 34.33/10.02 | Equations (580) can reduce 174 to: % 34.33/10.02 | (573) ~ (all_0_60_60 = e2) % 34.33/10.02 | % 34.33/10.02 | Simplifying 573 yields: % 34.33/10.02 | (571) ~ (all_0_60_60 = e2) % 34.33/10.02 | % 34.33/10.02 | Equations (580) can reduce 296 to: % 34.33/10.02 | (51) ~ (e2 = e0) % 34.33/10.02 | % 34.33/10.02 | From (580) and (185) follows: % 34.33/10.02 | (20396) op(e2, e4) = all_0_32_32 % 34.33/10.02 | % 34.33/10.02 | From (580) and (125) follows: % 34.33/10.02 | (20397) op(e2, e0) = all_0_31_31 % 34.33/10.02 | % 34.33/10.02 | From (580) and (132) follows: % 34.33/10.02 | (582) op(e0, e4) = e2 % 34.33/10.02 | % 34.33/10.02 +-Applying beta-rule and splitting (112), into two cases. % 34.33/10.02 |-Branch one: % 34.33/10.02 | (572) all_0_44_44 = e2 % 34.33/10.02 | % 34.33/10.02 | Combining equations (2078,572) yields a new equation: % 34.33/10.02 | (385) e2 = e0 % 34.33/10.02 | % 34.33/10.02 | Equations (385) can reduce 51 to: % 34.33/10.02 | (303) $false % 34.33/10.02 | % 34.33/10.02 |-The branch is then unsatisfiable % 34.33/10.02 |-Branch two: % 34.33/10.02 | (915) ~ (all_0_44_44 = e2) % 34.33/10.02 | (916) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 34.33/10.02 | % 34.33/10.02 | Equations (2078) can reduce 915 to: % 34.33/10.02 | (335) ~ (e2 = e0) % 34.33/10.02 | % 34.33/10.02 | Simplifying 335 yields: % 34.33/10.02 | (51) ~ (e2 = e0) % 34.33/10.02 | % 34.33/10.02 +-Applying beta-rule and splitting (220), into two cases. % 34.33/10.02 |-Branch one: % 34.33/10.02 | (913) all_0_60_60 = e2 % 34.33/10.02 | % 34.33/10.02 | Equations (913) can reduce 571 to: % 34.33/10.02 | (303) $false % 34.33/10.02 | % 34.33/10.02 |-The branch is then unsatisfiable % 34.33/10.02 |-Branch two: % 34.33/10.02 | (571) ~ (all_0_60_60 = e2) % 34.33/10.02 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 34.33/10.02 | % 34.33/10.02 +-Applying beta-rule and splitting (2476), into two cases. % 34.33/10.02 |-Branch one: % 34.33/10.02 | (368) all_0_49_49 = e2 % 34.33/10.02 | % 34.33/10.02 | Combining equations (384,368) yields a new equation: % 34.33/10.02 | (385) e2 = e0 % 34.33/10.02 | % 34.33/10.02 | Equations (385) can reduce 51 to: % 34.33/10.02 | (303) $false % 34.33/10.02 | % 34.33/10.02 |-The branch is then unsatisfiable % 34.33/10.02 |-Branch two: % 34.33/10.02 | (2167) ~ (all_0_49_49 = e2) % 34.33/10.02 | (2480) all_0_50_50 = e2 | all_0_51_51 = e2 % 34.33/10.02 | % 34.33/10.02 +-Applying beta-rule and splitting (2480), into two cases. % 34.33/10.02 |-Branch one: % 34.33/10.02 | (364) all_0_50_50 = e2 % 34.33/10.02 | % 34.33/10.02 | Equations (364) can reduce 258 to: % 34.33/10.02 | (303) $false % 34.33/10.02 | % 34.33/10.02 |-The branch is then unsatisfiable % 34.33/10.02 |-Branch two: % 34.33/10.02 | (258) ~ (all_0_50_50 = e2) % 34.33/10.02 | (927) all_0_51_51 = e2 % 34.33/10.02 | % 34.33/10.02 | Equations (927) can reduce 500 to: % 34.33/10.02 | (144) ~ (e2 = e1) % 34.33/10.02 | % 34.33/10.02 | From (927) and (122) follows: % 34.33/10.02 | (2490) op(e2, e2) = all_0_21_21 % 34.33/10.02 | % 34.33/10.02 | From (927) and (18) follows: % 34.33/10.02 | (20421) op(e2, e0) = all_0_22_22 % 34.33/10.02 | % 34.33/10.02 | From (927) and (66) follows: % 34.33/10.02 | (664) op(e2, e0) = e2 % 34.33/10.02 | % 34.33/10.02 +-Applying beta-rule and splitting (241), into two cases. % 34.33/10.02 |-Branch one: % 34.33/10.02 | (1096) all_0_44_44 = e4 % 34.33/10.02 | % 34.33/10.02 | Combining equations (2078,1096) yields a new equation: % 34.33/10.02 | (654) e4 = e0 % 34.33/10.02 | % 34.33/10.02 | Equations (654) can reduce 4 to: % 34.33/10.02 | (303) $false % 34.33/10.02 | % 34.33/10.02 |-The branch is then unsatisfiable % 34.33/10.02 |-Branch two: % 34.33/10.02 | (474) ~ (all_0_44_44 = e4) % 34.33/10.02 | (1500) all_0_51_51 = e4 | all_0_55_55 = e4 | all_0_60_60 = e4 % 34.33/10.02 | % 34.33/10.02 +-Applying beta-rule and splitting (1275), into two cases. % 34.33/10.02 |-Branch one: % 34.33/10.02 | (1510) all_0_60_60 = e4 % 34.33/10.02 | % 34.33/10.02 | From (1510) and (170) follows: % 34.33/10.02 | (5006) op(e0, e0) = e4 % 34.33/10.02 | % 34.33/10.02 | Instantiating formula (29) with e2, e4, all_0_32_32, all_0_48_48 and discharging atoms op(e2, e4) = all_0_32_32, op(e2, e4) = all_0_48_48, yields: % 34.33/10.02 | (20430) all_0_32_32 = all_0_48_48 % 34.33/10.02 | % 34.33/10.02 | Instantiating formula (29) with e2, e2, all_0_21_21, e3 and discharging atoms op(e2, e2) = all_0_21_21, op(e2, e2) = e3, yields: % 34.33/10.02 | (2622) all_0_21_21 = e3 % 34.33/10.02 | % 34.33/10.02 | Instantiating formula (29) with e2, e0, all_0_31_31, all_0_22_22 and discharging atoms op(e2, e0) = all_0_22_22, op(e2, e0) = all_0_31_31, yields: % 34.33/10.02 | (20432) all_0_22_22 = all_0_31_31 % 34.33/10.02 | % 34.33/10.02 | Instantiating formula (29) with e2, e0, e2, all_0_22_22 and discharging atoms op(e2, e0) = all_0_22_22, op(e2, e0) = e2, yields: % 34.33/10.02 | (3575) all_0_22_22 = e2 % 34.33/10.02 | % 34.33/10.02 | Combining equations (20432,3575) yields a new equation: % 34.33/10.02 | (20434) all_0_31_31 = e2 % 34.33/10.02 | % 34.33/10.02 | Simplifying 20434 yields: % 34.33/10.03 | (20435) all_0_31_31 = e2 % 34.33/10.03 | % 34.33/10.03 | From (20430) and (20396) follows: % 34.33/10.03 | (105) op(e2, e4) = all_0_48_48 % 34.33/10.03 | % 34.33/10.03 | From (2622) and (2490) follows: % 34.33/10.03 | (83) op(e2, e2) = e3 % 34.33/10.03 | % 34.33/10.03 | From (20435) and (20397) follows: % 34.33/10.03 | (664) op(e2, e0) = e2 % 34.33/10.03 | % 34.33/10.03 +-Applying beta-rule and splitting (237), into two cases. % 34.33/10.03 |-Branch one: % 34.33/10.03 | (431) all_0_41_41 = e3 % 34.33/10.03 | % 34.33/10.03 | Equations (431) can reduce 43 to: % 34.33/10.03 | (433) ~ (all_0_43_43 = e3) % 34.33/10.03 | % 34.33/10.03 | Simplifying 433 yields: % 34.33/10.03 | (434) ~ (all_0_43_43 = e3) % 34.33/10.03 | % 34.33/10.03 | Equations (431) can reduce 369 to: % 34.33/10.03 | (223) ~ (e3 = e2) % 34.33/10.03 | % 34.33/10.03 +-Applying beta-rule and splitting (137), into two cases. % 34.33/10.03 |-Branch one: % 34.33/10.03 | (447) all_0_43_43 = e3 % 34.33/10.03 | % 34.33/10.03 | Equations (447) can reduce 434 to: % 34.33/10.03 | (303) $false % 34.33/10.03 | % 34.33/10.03 |-The branch is then unsatisfiable % 34.33/10.03 |-Branch two: % 34.33/10.03 | (434) ~ (all_0_43_43 = e3) % 34.33/10.03 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 34.33/10.03 | % 34.33/10.03 +-Applying beta-rule and splitting (450), into two cases. % 34.33/10.03 |-Branch one: % 34.33/10.03 | (451) all_0_46_46 = e3 % 34.33/10.03 | % 34.33/10.03 | Combining equations (451,252) yields a new equation: % 34.33/10.03 | (452) e3 = e2 % 34.33/10.03 | % 34.33/10.03 | Simplifying 452 yields: % 34.33/10.03 | (453) e3 = e2 % 34.33/10.03 | % 34.33/10.03 | Equations (453) can reduce 223 to: % 34.33/10.03 | (303) $false % 34.33/10.03 | % 34.33/10.03 |-The branch is then unsatisfiable % 34.33/10.03 |-Branch two: % 34.33/10.03 | (455) ~ (all_0_46_46 = e3) % 34.33/10.03 | (456) all_0_59_59 = e3 % 34.33/10.03 | % 34.33/10.03 | Equations (456) can reduce 222 to: % 34.33/10.03 | (2590) ~ (all_0_57_57 = e3) % 34.33/10.03 | % 34.33/10.03 +-Applying beta-rule and splitting (221), into two cases. % 34.33/10.03 |-Branch one: % 34.33/10.03 | (696) all_0_41_41 = e1 % 34.33/10.03 | % 34.33/10.03 | Combining equations (696,431) yields a new equation: % 34.33/10.03 | (601) e3 = e1 % 34.33/10.03 | % 34.33/10.03 | Equations (601) can reduce 136 to: % 34.33/10.03 | (303) $false % 34.33/10.03 | % 34.33/10.03 |-The branch is then unsatisfiable % 34.33/10.03 |-Branch two: % 34.33/10.03 | (699) ~ (all_0_41_41 = e1) % 34.33/10.03 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 34.33/10.03 | % 34.33/10.03 +-Applying beta-rule and splitting (2154), into two cases. % 34.33/10.03 |-Branch one: % 34.33/10.03 | (1580) all_0_49_49 = e1 % 34.33/10.03 | % 34.33/10.03 | Combining equations (1580,384) yields a new equation: % 34.33/10.03 | (670) e1 = e0 % 34.33/10.03 | % 34.33/10.03 | Simplifying 670 yields: % 34.33/10.03 | (590) e1 = e0 % 34.33/10.03 | % 34.33/10.03 | Equations (590) can reduce 134 to: % 34.33/10.03 | (303) $false % 34.33/10.03 | % 34.33/10.03 |-The branch is then unsatisfiable % 34.33/10.03 |-Branch two: % 34.33/10.03 | (506) ~ (all_0_49_49 = e1) % 34.33/10.03 | (2676) all_0_53_53 = e1 | all_0_57_57 = e1 % 34.33/10.03 | % 34.33/10.03 +-Applying beta-rule and splitting (245), into two cases. % 34.33/10.03 |-Branch one: % 34.33/10.03 | (583) all_0_56_56 = e1 % 34.33/10.03 | % 34.33/10.03 | Combining equations (583,580) yields a new equation: % 34.33/10.03 | (585) e2 = e1 % 34.33/10.03 | % 34.33/10.03 | Equations (585) can reduce 144 to: % 34.33/10.03 | (303) $false % 34.33/10.03 | % 34.33/10.03 |-The branch is then unsatisfiable % 34.33/10.03 |-Branch two: % 34.33/10.03 | (587) ~ (all_0_56_56 = e1) % 34.33/10.03 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 34.33/10.03 | % 34.33/10.03 | Equations (580) can reduce 587 to: % 34.33/10.03 | (144) ~ (e2 = e1) % 34.33/10.03 | % 34.33/10.03 +-Applying beta-rule and splitting (2676), into two cases. % 34.33/10.03 |-Branch one: % 34.33/10.03 | (462) all_0_53_53 = e1 % 34.33/10.03 | % 34.33/10.03 | Combining equations (360,462) yields a new equation: % 34.33/10.03 | (584) e2 = e1 % 34.33/10.03 | % 34.33/10.03 | Simplifying 584 yields: % 34.33/10.03 | (585) e2 = e1 % 34.33/10.03 | % 34.33/10.03 | Equations (585) can reduce 144 to: % 34.33/10.03 | (303) $false % 34.33/10.03 | % 34.33/10.03 |-The branch is then unsatisfiable % 34.33/10.03 |-Branch two: % 34.33/10.03 | (509) ~ (all_0_53_53 = e1) % 34.33/10.03 | (589) all_0_57_57 = e1 % 34.33/10.03 | % 34.33/10.03 | Equations (589) can reduce 2590 to: % 34.33/10.03 | (465) ~ (e3 = e1) % 34.33/10.03 | % 34.33/10.03 | Simplifying 465 yields: % 34.33/10.03 | (136) ~ (e3 = e1) % 34.33/10.03 | % 34.33/10.03 +-Applying beta-rule and splitting (100), into two cases. % 34.33/10.03 |-Branch one: % 34.33/10.03 | (618) all_0_43_43 = e1 % 34.33/10.03 | % 34.33/10.03 | Equations (618) can reduce 238 to: % 34.33/10.03 | (855) ~ (all_0_50_50 = e1) % 34.33/10.03 | % 34.33/10.03 | Simplifying 855 yields: % 34.33/10.03 | (678) ~ (all_0_50_50 = e1) % 34.33/10.03 | % 34.33/10.03 | Equations (618) can reduce 253 to: % 34.33/10.03 | (565) ~ (e2 = e1) % 34.33/10.03 | % 34.33/10.03 | Simplifying 565 yields: % 34.33/10.03 | (144) ~ (e2 = e1) % 34.33/10.03 | % 34.33/10.03 | Equations (618) can reduce 117 to: % 34.33/10.03 | (134) ~ (e1 = e0) % 34.33/10.03 | % 34.33/10.03 +-Applying beta-rule and splitting (228), into two cases. % 34.33/10.03 |-Branch one: % 34.33/10.03 | (748) all_0_48_48 = e1 % 34.33/10.03 | % 34.33/10.03 | Equations (748) can reduce 292 to: % 34.33/10.03 | (134) ~ (e1 = e0) % 34.33/10.03 | % 34.33/10.03 | From (748) and (105) follows: % 34.33/10.03 | (752) op(e2, e4) = e1 % 34.33/10.03 | % 34.33/10.03 +-Applying beta-rule and splitting (62), into two cases. % 34.33/10.03 |-Branch one: % 34.33/10.03 | (631) unit = e2 % 34.33/10.03 | % 34.33/10.03 | From (631) and (189) follows: % 34.33/10.03 | (397) op(e2, e0) = e0 % 34.33/10.03 | % 34.33/10.03 | From (631) and (98) follows: % 34.33/10.03 | (5015) op(e3, e2) = e3 % 34.33/10.03 | % 34.33/10.03 | From (631) and (74) follows: % 34.33/10.03 | (2715) op(e2, e2) = e2 % 34.33/10.03 | % 34.33/10.03 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 34.33/10.03 | (601) e3 = e1 % 34.33/10.03 | % 34.33/10.03 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 34.33/10.03 | (453) e3 = e2 % 34.33/10.03 | % 34.33/10.03 | Instantiating formula (29) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 34.33/10.03 | (385) e2 = e0 % 34.33/10.03 | % 34.33/10.03 | Combining equations (453,601) yields a new equation: % 34.33/10.03 | (584) e2 = e1 % 34.33/10.03 | % 34.33/10.03 | Simplifying 584 yields: % 34.33/10.03 | (585) e2 = e1 % 34.33/10.03 | % 34.33/10.03 | Combining equations (585,385) yields a new equation: % 34.33/10.03 | (670) e1 = e0 % 34.33/10.03 | % 34.33/10.03 | Simplifying 670 yields: % 34.33/10.03 | (590) e1 = e0 % 34.33/10.03 | % 34.33/10.03 | Equations (590) can reduce 134 to: % 34.33/10.03 | (303) $false % 34.33/10.03 | % 34.33/10.03 |-The branch is then unsatisfiable % 34.33/10.03 |-Branch two: % 34.33/10.03 | (599) ~ (unit = e2) % 34.33/10.03 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 34.33/10.03 | % 34.33/10.03 +-Applying beta-rule and splitting (634), into two cases. % 34.33/10.03 |-Branch one: % 34.33/10.03 | (635) unit = e4 % 34.33/10.03 | % 34.33/10.03 | From (635) and (74) follows: % 34.33/10.03 | (637) op(e2, e4) = e2 % 34.33/10.03 | % 34.33/10.03 | From (635) and (111) follows: % 34.33/10.03 | (638) op(e0, e4) = e0 % 34.33/10.03 | % 34.33/10.03 | Instantiating formula (29) with e2, e4, e2, e1 and discharging atoms op(e2, e4) = e2, op(e2, e4) = e1, yields: % 34.33/10.03 | (585) e2 = e1 % 34.33/10.03 | % 34.33/10.03 | Instantiating formula (29) with e0, e4, e0, e2 and discharging atoms op(e0, e4) = e2, op(e0, e4) = e0, yields: % 34.33/10.03 | (385) e2 = e0 % 34.33/10.03 | % 34.33/10.03 | Combining equations (585,385) yields a new equation: % 34.33/10.03 | (670) e1 = e0 % 34.33/10.03 | % 34.33/10.03 | Simplifying 670 yields: % 34.33/10.03 | (590) e1 = e0 % 34.33/10.03 | % 34.33/10.03 | Equations (590) can reduce 134 to: % 34.33/10.03 | (303) $false % 34.33/10.03 | % 34.33/10.03 |-The branch is then unsatisfiable % 34.33/10.03 |-Branch two: % 34.33/10.03 | (484) ~ (unit = e4) % 34.33/10.03 | (647) unit = e3 | unit = e1 | unit = e0 % 34.33/10.03 | % 34.33/10.03 +-Applying beta-rule and splitting (647), into two cases. % 34.33/10.03 |-Branch one: % 34.33/10.03 | (648) unit = e1 % 34.33/10.03 | % 34.33/10.03 | Equations (648) can reduce 510 to: % 34.33/10.03 | (303) $false % 34.33/10.03 | % 34.33/10.03 |-The branch is then unsatisfiable % 34.33/10.03 |-Branch two: % 34.33/10.03 | (510) ~ (unit = e1) % 34.33/10.03 | (659) unit = e3 | unit = e0 % 34.33/10.03 | % 34.33/10.03 +-Applying beta-rule and splitting (659), into two cases. % 34.33/10.03 |-Branch one: % 34.33/10.03 | (660) unit = e0 % 34.33/10.03 | % 34.33/10.03 | Equations (660) can reduce 599 to: % 34.33/10.03 | (335) ~ (e2 = e0) % 34.33/10.03 | % 34.33/10.03 | Simplifying 335 yields: % 34.33/10.03 | (51) ~ (e2 = e0) % 34.33/10.03 | % 34.33/10.03 | From (660) and (17) follows: % 34.33/10.03 | (1195) op(e0, e4) = e4 % 34.33/10.03 | % 34.33/10.03 | From (660) and (111) follows: % 34.33/10.03 | (3633) op(e0, e0) = e0 % 34.33/10.03 | % 34.33/10.03 | Instantiating formula (29) with e0, e4, e4, e2 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e2, yields: % 34.33/10.03 | (470) e4 = e2 % 34.33/10.03 | % 34.33/10.03 | Instantiating formula (29) with e0, e0, e0, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields: % 34.33/10.03 | (654) e4 = e0 % 34.33/10.03 | % 34.33/10.03 | Combining equations (654,470) yields a new equation: % 34.33/10.03 | (385) e2 = e0 % 34.33/10.03 | % 34.33/10.03 | Equations (385) can reduce 51 to: % 34.33/10.03 | (303) $false % 34.33/10.03 | % 34.33/10.03 |-The branch is then unsatisfiable % 34.33/10.03 |-Branch two: % 34.33/10.03 | (537) ~ (unit = e0) % 34.33/10.03 | (674) unit = e3 % 34.33/10.03 | % 34.33/10.03 | From (674) and (74) follows: % 34.33/10.03 | (8513) op(e2, e3) = e2 % 34.33/10.03 | % 34.33/10.03 | From (674) and (190) follows: % 34.33/10.03 | (468) op(e1, e3) = e1 % 34.33/10.03 | % 34.33/10.03 | Instantiating formula (29) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields: % 34.33/10.03 | (385) e2 = e0 % 34.33/10.03 | % 34.33/10.03 | Instantiating formula (29) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 34.33/10.03 | (585) e2 = e1 % 34.33/10.03 | % 34.33/10.03 | Combining equations (585,385) yields a new equation: % 34.33/10.03 | (670) e1 = e0 % 34.33/10.03 | % 34.33/10.03 | Simplifying 670 yields: % 34.33/10.03 | (590) e1 = e0 % 34.33/10.03 | % 34.33/10.03 | Equations (590) can reduce 134 to: % 34.33/10.03 | (303) $false % 34.33/10.03 | % 34.33/10.03 |-The branch is then unsatisfiable % 34.33/10.03 |-Branch two: % 34.33/10.03 | (802) ~ (all_0_48_48 = e1) % 34.33/10.03 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 34.33/10.03 | % 34.33/10.03 +-Applying beta-rule and splitting (803), into two cases. % 34.33/10.03 |-Branch one: % 34.33/10.03 | (1580) all_0_49_49 = e1 % 34.33/10.03 | % 34.33/10.03 | Combining equations (384,1580) yields a new equation: % 34.33/10.03 | (590) e1 = e0 % 34.33/10.03 | % 34.33/10.03 | Equations (590) can reduce 134 to: % 34.33/10.03 | (303) $false % 34.33/10.03 | % 34.33/10.03 |-The branch is then unsatisfiable % 34.33/10.03 |-Branch two: % 34.33/10.03 | (506) ~ (all_0_49_49 = e1) % 34.33/10.03 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 34.33/10.03 | % 34.33/10.03 +-Applying beta-rule and splitting (1585), into two cases. % 34.33/10.03 |-Branch one: % 34.33/10.03 | (627) all_0_50_50 = e1 % 34.33/10.03 | % 34.33/10.03 | Equations (627) can reduce 678 to: % 34.33/10.03 | (303) $false % 34.33/10.03 | % 34.33/10.03 |-The branch is then unsatisfiable % 34.33/10.03 |-Branch two: % 34.33/10.03 | (678) ~ (all_0_50_50 = e1) % 34.33/10.03 | (1590) all_0_51_51 = e1 % 34.33/10.03 | % 34.33/10.03 | Combining equations (927,1590) yields a new equation: % 34.33/10.03 | (584) e2 = e1 % 34.33/10.03 | % 34.33/10.03 | Simplifying 584 yields: % 34.33/10.03 | (585) e2 = e1 % 34.33/10.03 | % 34.33/10.03 | Equations (585) can reduce 144 to: % 34.33/10.03 | (303) $false % 34.33/10.03 | % 34.33/10.03 |-The branch is then unsatisfiable % 34.33/10.03 |-Branch two: % 34.33/10.03 | (622) ~ (all_0_43_43 = e1) % 34.33/10.03 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 34.33/10.03 | % 34.33/10.03 +-Applying beta-rule and splitting (44), into two cases. % 34.33/10.03 |-Branch one: % 34.33/10.03 | (624) all_0_40_40 = e1 % 34.33/10.03 | % 34.33/10.03 +-Applying beta-rule and splitting (508), into two cases. % 34.33/10.03 |-Branch one: % 34.33/10.03 | (683) ~ (all_0_40_40 = e1) % 34.33/10.03 | % 34.33/10.03 | Equations (624) can reduce 683 to: % 34.33/10.03 | (303) $false % 34.33/10.03 | % 34.33/10.03 |-The branch is then unsatisfiable % 34.33/10.03 |-Branch two: % 34.33/10.03 | (624) all_0_40_40 = e1 % 34.33/10.03 | (614) all_0_43_43 = e4 % 34.33/10.03 | % 34.33/10.03 | Equations (614) can reduce 238 to: % 34.33/10.03 | (610) ~ (all_0_50_50 = e4) % 34.33/10.03 | % 34.33/10.03 | Simplifying 610 yields: % 34.33/10.03 | (611) ~ (all_0_50_50 = e4) % 34.33/10.03 | % 34.33/10.03 | Equations (614) can reduce 253 to: % 34.33/10.03 | (231) ~ (e4 = e2) % 34.33/10.03 | % 34.33/10.03 | From (614) and (19) follows: % 34.33/10.03 | (617) op(e4, e1) = e4 % 34.33/10.03 | % 34.33/10.03 +-Applying beta-rule and splitting (234), into two cases. % 34.33/10.03 |-Branch one: % 34.33/10.03 | (609) all_0_48_48 = e4 % 34.33/10.03 | % 34.33/10.03 | Equations (609) can reduce 48 to: % 34.33/10.03 | (610) ~ (all_0_50_50 = e4) % 34.33/10.03 | % 34.33/10.03 | Simplifying 610 yields: % 34.33/10.03 | (611) ~ (all_0_50_50 = e4) % 34.33/10.03 | % 34.33/10.03 | From (609) and (105) follows: % 34.33/10.03 | (613) op(e2, e4) = e4 % 34.33/10.03 | % 34.33/10.03 +-Applying beta-rule and splitting (367), into two cases. % 34.33/10.03 |-Branch one: % 34.33/10.03 | (714) all_0_50_50 = e4 % 34.33/10.03 | % 34.33/10.03 | Equations (714) can reduce 611 to: % 34.33/10.03 | (303) $false % 34.33/10.03 | % 34.33/10.03 |-The branch is then unsatisfiable % 34.33/10.03 |-Branch two: % 34.33/10.03 | (611) ~ (all_0_50_50 = e4) % 34.33/10.03 | (627) all_0_50_50 = e1 % 34.33/10.03 | % 34.33/10.03 | Equations (627) can reduce 207 to: % 34.33/10.03 | (134) ~ (e1 = e0) % 34.33/10.03 | % 34.33/10.03 +-Applying beta-rule and splitting (62), into two cases. % 34.33/10.03 |-Branch one: % 34.33/10.03 | (631) unit = e2 % 34.33/10.03 | % 34.33/10.03 | From (631) and (232) follows: % 34.33/10.03 | (2714) op(e2, e3) = e3 % 34.33/10.03 | % 34.33/10.03 | From (631) and (98) follows: % 34.33/10.03 | (5015) op(e3, e2) = e3 % 34.33/10.03 | % 34.33/10.03 | From (631) and (74) follows: % 34.33/10.03 | (2715) op(e2, e2) = e2 % 34.33/10.03 | % 34.33/10.03 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 34.33/10.03 | (601) e3 = e1 % 34.33/10.03 | % 34.33/10.03 | Instantiating formula (29) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields: % 34.33/10.03 | (497) e3 = e0 % 34.33/10.03 | % 34.33/10.03 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 34.33/10.03 | (453) e3 = e2 % 34.33/10.03 | % 34.33/10.03 | Combining equations (601,453) yields a new equation: % 34.33/10.03 | (585) e2 = e1 % 34.33/10.03 | % 34.33/10.03 | Combining equations (497,453) yields a new equation: % 34.33/10.03 | (385) e2 = e0 % 34.33/10.03 | % 34.33/10.03 | Combining equations (585,385) yields a new equation: % 34.33/10.03 | (670) e1 = e0 % 34.33/10.03 | % 34.33/10.03 | Simplifying 670 yields: % 34.33/10.03 | (590) e1 = e0 % 34.33/10.03 | % 34.33/10.03 | Equations (590) can reduce 134 to: % 34.33/10.03 | (303) $false % 34.33/10.03 | % 34.33/10.03 |-The branch is then unsatisfiable % 34.33/10.03 |-Branch two: % 34.33/10.03 | (599) ~ (unit = e2) % 34.33/10.03 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 34.33/10.03 | % 34.33/10.03 +-Applying beta-rule and splitting (634), into two cases. % 34.33/10.03 |-Branch one: % 34.33/10.03 | (635) unit = e4 % 34.33/10.03 | % 34.33/10.03 | From (635) and (38) follows: % 34.33/10.03 | (636) op(e4, e1) = e1 % 34.33/10.04 | % 34.33/10.04 | From (635) and (74) follows: % 34.33/10.04 | (637) op(e2, e4) = e2 % 34.33/10.04 | % 34.33/10.04 | From (635) and (111) follows: % 34.33/10.04 | (638) op(e0, e4) = e0 % 34.33/10.04 | % 34.33/10.04 | Instantiating formula (29) with e4, e1, e1, e4 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e1, yields: % 34.33/10.04 | (541) e4 = e1 % 34.33/10.04 | % 34.33/10.04 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 34.33/10.04 | (470) e4 = e2 % 34.33/10.04 | % 34.33/10.04 | Instantiating formula (29) with e0, e4, e0, e2 and discharging atoms op(e0, e4) = e2, op(e0, e4) = e0, yields: % 34.33/10.04 | (385) e2 = e0 % 34.33/10.04 | % 34.33/10.04 | Combining equations (470,541) yields a new equation: % 34.33/10.04 | (584) e2 = e1 % 34.33/10.04 | % 34.33/10.04 | Simplifying 584 yields: % 34.33/10.04 | (585) e2 = e1 % 34.33/10.04 | % 34.33/10.04 | Combining equations (385,585) yields a new equation: % 34.33/10.04 | (590) e1 = e0 % 34.33/10.04 | % 34.33/10.04 | Equations (590) can reduce 134 to: % 34.33/10.04 | (303) $false % 34.33/10.04 | % 34.33/10.04 |-The branch is then unsatisfiable % 34.33/10.04 |-Branch two: % 34.33/10.04 | (484) ~ (unit = e4) % 34.33/10.04 | (647) unit = e3 | unit = e1 | unit = e0 % 34.33/10.04 | % 34.33/10.04 +-Applying beta-rule and splitting (647), into two cases. % 34.33/10.04 |-Branch one: % 34.33/10.04 | (648) unit = e1 % 34.33/10.04 | % 34.33/10.04 | Equations (648) can reduce 510 to: % 34.33/10.04 | (303) $false % 34.33/10.04 | % 34.33/10.04 |-The branch is then unsatisfiable % 34.33/10.04 |-Branch two: % 34.33/10.04 | (510) ~ (unit = e1) % 34.33/10.04 | (659) unit = e3 | unit = e0 % 34.33/10.04 | % 34.33/10.04 +-Applying beta-rule and splitting (659), into two cases. % 34.33/10.04 |-Branch one: % 34.33/10.04 | (660) unit = e0 % 34.33/10.04 | % 34.33/10.04 | Equations (660) can reduce 599 to: % 34.33/10.04 | (335) ~ (e2 = e0) % 34.33/10.04 | % 34.33/10.04 | Simplifying 335 yields: % 34.33/10.04 | (51) ~ (e2 = e0) % 34.33/10.04 | % 34.33/10.04 | From (660) and (17) follows: % 34.33/10.04 | (1195) op(e0, e4) = e4 % 34.33/10.04 | % 34.33/10.04 | From (660) and (111) follows: % 34.33/10.04 | (3633) op(e0, e0) = e0 % 34.33/10.04 | % 34.33/10.04 | Instantiating formula (29) with e0, e4, e4, e2 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e2, yields: % 34.33/10.04 | (470) e4 = e2 % 34.33/10.04 | % 34.33/10.04 | Instantiating formula (29) with e0, e0, e0, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields: % 34.33/10.04 | (654) e4 = e0 % 34.33/10.04 | % 34.33/10.04 | Combining equations (654,470) yields a new equation: % 34.33/10.04 | (385) e2 = e0 % 34.33/10.04 | % 34.33/10.04 | Equations (385) can reduce 51 to: % 34.33/10.04 | (303) $false % 34.33/10.04 | % 34.33/10.04 |-The branch is then unsatisfiable % 34.33/10.04 |-Branch two: % 34.33/10.04 | (537) ~ (unit = e0) % 34.33/10.04 | (674) unit = e3 % 34.33/10.04 | % 34.33/10.04 | From (674) and (74) follows: % 34.33/10.04 | (8513) op(e2, e3) = e2 % 34.33/10.04 | % 34.33/10.04 | From (674) and (190) follows: % 34.33/10.04 | (468) op(e1, e3) = e1 % 34.33/10.04 | % 34.33/10.04 | Instantiating formula (29) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields: % 34.33/10.04 | (385) e2 = e0 % 34.33/10.04 | % 34.33/10.04 | Instantiating formula (29) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 34.33/10.04 | (585) e2 = e1 % 34.33/10.04 | % 34.33/10.04 | Combining equations (585,385) yields a new equation: % 34.33/10.04 | (670) e1 = e0 % 34.33/10.04 | % 34.33/10.04 | Simplifying 670 yields: % 34.33/10.04 | (590) e1 = e0 % 34.33/10.04 | % 34.33/10.04 | Equations (590) can reduce 134 to: % 34.33/10.04 | (303) $false % 34.33/10.04 | % 34.33/10.04 |-The branch is then unsatisfiable % 34.33/10.04 |-Branch two: % 34.33/10.04 | (721) ~ (all_0_48_48 = e4) % 34.33/10.04 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 34.33/10.04 | % 34.33/10.04 +-Applying beta-rule and splitting (367), into two cases. % 34.33/10.04 |-Branch one: % 34.33/10.04 | (714) all_0_50_50 = e4 % 34.33/10.04 | % 34.33/10.04 | Equations (714) can reduce 611 to: % 34.33/10.04 | (303) $false % 34.33/10.04 | % 34.33/10.04 |-The branch is then unsatisfiable % 34.33/10.04 |-Branch two: % 34.33/10.04 | (611) ~ (all_0_50_50 = e4) % 34.33/10.04 | (627) all_0_50_50 = e1 % 34.33/10.04 | % 34.33/10.04 | Equations (627) can reduce 611 to: % 34.33/10.04 | (605) ~ (e4 = e1) % 34.33/10.04 | % 34.33/10.04 | Simplifying 605 yields: % 34.33/10.04 | (247) ~ (e4 = e1) % 34.33/10.04 | % 34.33/10.04 +-Applying beta-rule and splitting (722), into two cases. % 34.33/10.04 |-Branch one: % 34.33/10.04 | (714) all_0_50_50 = e4 % 34.33/10.04 | % 34.33/10.04 | Combining equations (627,714) yields a new equation: % 34.33/10.04 | (541) e4 = e1 % 34.33/10.04 | % 34.33/10.04 | Equations (541) can reduce 247 to: % 34.33/10.04 | (303) $false % 34.33/10.04 | % 34.33/10.04 |-The branch is then unsatisfiable % 34.33/10.04 |-Branch two: % 34.33/10.04 | (611) ~ (all_0_50_50 = e4) % 34.33/10.04 | (1501) all_0_51_51 = e4 % 34.33/10.04 | % 34.33/10.04 | Combining equations (927,1501) yields a new equation: % 34.33/10.04 | (470) e4 = e2 % 34.33/10.04 | % 34.33/10.04 | Equations (470) can reduce 231 to: % 34.33/10.04 | (303) $false % 34.33/10.04 | % 34.33/10.04 |-The branch is then unsatisfiable % 34.33/10.04 |-Branch two: % 34.33/10.04 | (683) ~ (all_0_40_40 = e1) % 34.33/10.04 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 34.33/10.04 | % 34.33/10.04 +-Applying beta-rule and splitting (688), into two cases. % 34.33/10.04 |-Branch one: % 34.33/10.04 | (696) all_0_41_41 = e1 % 34.33/10.04 | % 34.33/10.04 | Combining equations (696,431) yields a new equation: % 34.33/10.04 | (601) e3 = e1 % 34.33/10.04 | % 34.33/10.04 | Equations (601) can reduce 136 to: % 34.33/10.04 | (303) $false % 34.33/10.04 | % 34.33/10.04 |-The branch is then unsatisfiable % 34.33/10.04 |-Branch two: % 34.33/10.04 | (699) ~ (all_0_41_41 = e1) % 34.33/10.04 | (700) all_0_43_43 = e1 | all_0_44_44 = e1 % 34.33/10.04 | % 34.33/10.04 | Equations (431) can reduce 699 to: % 34.33/10.04 | (136) ~ (e3 = e1) % 34.33/10.04 | % 34.33/10.04 +-Applying beta-rule and splitting (623), into two cases. % 34.33/10.04 |-Branch one: % 34.33/10.04 | (627) all_0_50_50 = e1 % 34.33/10.04 | % 34.33/10.04 | Equations (627) can reduce 238 to: % 34.33/10.04 | (622) ~ (all_0_43_43 = e1) % 34.33/10.04 | % 34.33/10.04 | Equations (627) can reduce 207 to: % 34.33/10.04 | (134) ~ (e1 = e0) % 34.33/10.04 | % 34.33/10.04 +-Applying beta-rule and splitting (700), into two cases. % 34.33/10.04 |-Branch one: % 34.33/10.04 | (618) all_0_43_43 = e1 % 34.33/10.04 | % 34.33/10.04 | Equations (618) can reduce 622 to: % 34.33/10.04 | (303) $false % 34.33/10.04 | % 34.33/10.04 |-The branch is then unsatisfiable % 34.33/10.04 |-Branch two: % 34.33/10.04 | (622) ~ (all_0_43_43 = e1) % 34.33/10.04 | (705) all_0_44_44 = e1 % 34.33/10.04 | % 34.33/10.04 | Combining equations (2078,705) yields a new equation: % 34.33/10.04 | (590) e1 = e0 % 34.33/10.04 | % 34.33/10.04 | Equations (590) can reduce 134 to: % 34.33/10.04 | (303) $false % 34.33/10.04 | % 34.33/10.04 |-The branch is then unsatisfiable % 34.33/10.04 |-Branch two: % 34.33/10.04 | (678) ~ (all_0_50_50 = e1) % 34.33/10.04 | (600) all_0_59_59 = e1 % 34.33/10.04 | % 34.33/10.04 | Combining equations (600,456) yields a new equation: % 34.33/10.04 | (601) e3 = e1 % 34.33/10.04 | % 34.33/10.04 | Equations (601) can reduce 136 to: % 34.33/10.04 | (303) $false % 34.33/10.04 | % 34.33/10.04 |-The branch is then unsatisfiable % 34.33/10.04 |-Branch two: % 34.33/10.04 | (996) ~ (all_0_41_41 = e3) % 34.33/10.04 | (997) all_0_53_53 = e3 | all_0_57_57 = e3 % 34.33/10.04 | % 34.33/10.04 +-Applying beta-rule and splitting (180), into two cases. % 34.33/10.04 |-Branch one: % 34.33/10.04 | (945) all_0_41_41 = e2 % 34.33/10.04 | % 34.33/10.04 | Equations (945) can reduce 369 to: % 34.33/10.04 | (303) $false % 34.33/10.04 | % 34.33/10.04 |-The branch is then unsatisfiable % 34.33/10.04 |-Branch two: % 34.33/10.04 | (369) ~ (all_0_41_41 = e2) % 34.33/10.04 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 34.33/10.04 | % 34.33/10.04 +-Applying beta-rule and splitting (200), into two cases. % 34.33/10.04 |-Branch one: % 34.33/10.04 | (1102) all_0_40_40 = e3 % 34.33/10.04 | % 34.33/10.04 | Equations (1102) can reduce 432 to: % 34.33/10.04 | (303) $false % 34.33/10.04 | % 34.33/10.04 |-The branch is then unsatisfiable % 34.33/10.04 |-Branch two: % 34.33/10.04 | (432) ~ (all_0_40_40 = e3) % 34.33/10.04 | (2138) all_0_41_41 = e3 | all_0_43_43 = e3 | all_0_44_44 = e3 % 34.33/10.04 | % 34.33/10.04 +-Applying beta-rule and splitting (2138), into two cases. % 34.33/10.04 |-Branch one: % 34.33/10.04 | (431) all_0_41_41 = e3 % 34.33/10.04 | % 34.33/10.04 | Equations (431) can reduce 996 to: % 34.33/10.04 | (303) $false % 34.33/10.04 | % 34.33/10.04 |-The branch is then unsatisfiable % 34.33/10.04 |-Branch two: % 34.33/10.04 | (996) ~ (all_0_41_41 = e3) % 34.33/10.04 | (5989) all_0_43_43 = e3 | all_0_44_44 = e3 % 34.33/10.04 | % 34.33/10.04 +-Applying beta-rule and splitting (5989), into two cases. % 34.33/10.04 |-Branch one: % 34.33/10.04 | (447) all_0_43_43 = e3 % 34.33/10.04 | % 34.33/10.04 | Equations (447) can reduce 43 to: % 34.33/10.04 | (996) ~ (all_0_41_41 = e3) % 34.33/10.04 | % 34.33/10.04 +-Applying beta-rule and splitting (1017), into two cases. % 34.33/10.04 |-Branch one: % 34.33/10.04 | (696) all_0_41_41 = e1 % 34.33/10.04 | % 34.33/10.04 | Equations (696) can reduce 151 to: % 34.33/10.04 | (683) ~ (all_0_40_40 = e1) % 34.33/10.04 | % 34.33/10.04 | Equations (696) can reduce 11 to: % 34.33/10.04 | (11300) ~ (all_0_57_57 = e1) % 34.33/10.04 | % 34.33/10.04 | Simplifying 11300 yields: % 34.33/10.04 | (592) ~ (all_0_57_57 = e1) % 34.33/10.04 | % 34.33/10.04 | Equations (696) can reduce 369 to: % 34.33/10.04 | (565) ~ (e2 = e1) % 34.33/10.04 | % 34.33/10.04 | Simplifying 565 yields: % 34.33/10.04 | (144) ~ (e2 = e1) % 34.33/10.04 | % 34.33/10.04 +-Applying beta-rule and splitting (250), into two cases. % 34.33/10.04 |-Branch one: % 34.33/10.04 | (897) all_0_57_57 = e2 % 34.33/10.04 | % 34.33/10.04 | Equations (897) can reduce 377 to: % 34.33/10.04 | (303) $false % 34.33/10.04 | % 34.33/10.04 |-The branch is then unsatisfiable % 34.33/10.04 |-Branch two: % 34.33/10.04 | (377) ~ (all_0_57_57 = e2) % 34.33/10.04 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 34.33/10.04 | % 34.33/10.04 +-Applying beta-rule and splitting (2652), into two cases. % 34.33/10.04 |-Branch one: % 34.33/10.04 | (589) all_0_57_57 = e1 % 34.33/10.04 | % 34.33/10.04 | Equations (589) can reduce 592 to: % 34.33/10.04 | (303) $false % 34.33/10.04 | % 34.33/10.04 |-The branch is then unsatisfiable % 34.33/10.04 |-Branch two: % 34.33/10.04 | (592) ~ (all_0_57_57 = e1) % 34.33/10.04 | (3062) all_0_57_57 = e3 | all_0_57_57 = e0 % 34.33/10.04 | % 34.33/10.04 +-Applying beta-rule and splitting (3062), into two cases. % 34.33/10.04 |-Branch one: % 34.33/10.04 | (407) all_0_57_57 = e0 % 34.33/10.04 | % 34.33/10.04 | Equations (407) can reduce 2273 to: % 34.33/10.04 | (303) $false % 34.33/10.04 | % 34.33/10.04 |-The branch is then unsatisfiable % 34.33/10.04 |-Branch two: % 34.33/10.04 | (2273) ~ (all_0_57_57 = e0) % 34.33/10.04 | (1001) all_0_57_57 = e3 % 34.33/10.04 | % 34.33/10.04 | Equations (1001) can reduce 592 to: % 34.33/10.04 | (136) ~ (e3 = e1) % 34.33/10.04 | % 34.33/10.04 +-Applying beta-rule and splitting (175), into two cases. % 34.33/10.04 |-Branch one: % 34.33/10.04 | (624) all_0_40_40 = e1 % 34.33/10.04 | % 34.33/10.04 | Equations (624) can reduce 683 to: % 34.33/10.04 | (303) $false % 34.33/10.04 | % 34.33/10.04 |-The branch is then unsatisfiable % 34.33/10.04 |-Branch two: % 34.33/10.04 | (683) ~ (all_0_40_40 = e1) % 34.33/10.04 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 34.33/10.04 | % 34.33/10.04 +-Applying beta-rule and splitting (684), into two cases. % 34.33/10.04 |-Branch one: % 34.33/10.04 | (748) all_0_48_48 = e1 % 34.33/10.04 | % 34.33/10.04 | Equations (748) can reduce 48 to: % 34.33/10.04 | (855) ~ (all_0_50_50 = e1) % 34.33/10.04 | % 34.33/10.04 | Simplifying 855 yields: % 34.33/10.04 | (678) ~ (all_0_50_50 = e1) % 34.33/10.04 | % 34.33/10.04 | Equations (748) can reduce 34 to: % 34.33/10.04 | (465) ~ (e3 = e1) % 34.33/10.04 | % 34.33/10.04 | Simplifying 465 yields: % 34.33/10.04 | (136) ~ (e3 = e1) % 34.33/10.04 | % 34.33/10.04 | From (748) and (105) follows: % 34.33/10.04 | (752) op(e2, e4) = e1 % 34.33/10.04 | % 34.33/10.04 +-Applying beta-rule and splitting (100), into two cases. % 34.33/10.04 |-Branch one: % 34.33/10.04 | (618) all_0_43_43 = e1 % 34.33/10.04 | % 34.33/10.04 | Combining equations (618,447) yields a new equation: % 34.33/10.04 | (601) e3 = e1 % 34.33/10.04 | % 34.33/10.04 | Equations (601) can reduce 136 to: % 34.33/10.04 | (303) $false % 34.33/10.04 | % 34.33/10.04 |-The branch is then unsatisfiable % 34.33/10.04 |-Branch two: % 34.33/10.04 | (622) ~ (all_0_43_43 = e1) % 34.33/10.04 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 34.33/10.04 | % 34.33/10.04 +-Applying beta-rule and splitting (623), into two cases. % 34.33/10.04 |-Branch one: % 34.33/10.04 | (627) all_0_50_50 = e1 % 34.33/10.04 | % 34.33/10.04 | Equations (627) can reduce 678 to: % 34.33/10.04 | (303) $false % 34.33/10.04 | % 34.33/10.04 |-The branch is then unsatisfiable % 34.33/10.04 |-Branch two: % 34.33/10.04 | (678) ~ (all_0_50_50 = e1) % 34.33/10.04 | (600) all_0_59_59 = e1 % 34.33/10.04 | % 34.33/10.04 | Equations (600) can reduce 216 to: % 34.33/10.04 | (134) ~ (e1 = e0) % 34.33/10.04 | % 34.33/10.04 +-Applying beta-rule and splitting (62), into two cases. % 34.33/10.04 |-Branch one: % 34.33/10.04 | (631) unit = e2 % 34.33/10.04 | % 34.33/10.04 | From (631) and (189) follows: % 34.33/10.04 | (397) op(e2, e0) = e0 % 34.33/10.04 | % 34.33/10.04 | From (631) and (98) follows: % 34.33/10.04 | (5015) op(e3, e2) = e3 % 34.33/10.04 | % 34.33/10.04 | From (631) and (74) follows: % 34.33/10.04 | (2715) op(e2, e2) = e2 % 34.33/10.04 | % 34.33/10.04 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 34.33/10.04 | (601) e3 = e1 % 34.33/10.04 | % 34.33/10.04 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 34.33/10.04 | (453) e3 = e2 % 34.33/10.04 | % 34.33/10.04 | Instantiating formula (29) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 34.33/10.04 | (385) e2 = e0 % 34.33/10.04 | % 34.33/10.04 | Combining equations (453,601) yields a new equation: % 34.33/10.04 | (584) e2 = e1 % 34.33/10.04 | % 34.33/10.04 | Simplifying 584 yields: % 34.33/10.04 | (585) e2 = e1 % 34.33/10.04 | % 34.33/10.04 | Combining equations (585,385) yields a new equation: % 34.33/10.04 | (670) e1 = e0 % 34.33/10.04 | % 34.33/10.04 | Simplifying 670 yields: % 34.33/10.04 | (590) e1 = e0 % 34.33/10.04 | % 34.33/10.04 | Equations (590) can reduce 134 to: % 34.33/10.04 | (303) $false % 34.33/10.04 | % 34.33/10.04 |-The branch is then unsatisfiable % 34.33/10.04 |-Branch two: % 34.33/10.04 | (599) ~ (unit = e2) % 34.33/10.04 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 34.33/10.04 | % 34.33/10.04 +-Applying beta-rule and splitting (634), into two cases. % 34.33/10.04 |-Branch one: % 34.33/10.04 | (635) unit = e4 % 34.33/10.04 | % 34.33/10.04 | From (635) and (74) follows: % 34.33/10.04 | (637) op(e2, e4) = e2 % 34.33/10.04 | % 34.33/10.04 | From (635) and (111) follows: % 34.33/10.04 | (638) op(e0, e4) = e0 % 34.33/10.04 | % 34.33/10.04 | Instantiating formula (29) with e2, e4, e2, e1 and discharging atoms op(e2, e4) = e2, op(e2, e4) = e1, yields: % 34.33/10.04 | (585) e2 = e1 % 34.33/10.04 | % 34.33/10.04 | Instantiating formula (29) with e0, e4, e0, e2 and discharging atoms op(e0, e4) = e2, op(e0, e4) = e0, yields: % 34.33/10.04 | (385) e2 = e0 % 34.33/10.04 | % 34.33/10.04 | Combining equations (385,585) yields a new equation: % 34.33/10.04 | (590) e1 = e0 % 34.33/10.04 | % 34.33/10.04 | Equations (590) can reduce 134 to: % 34.33/10.04 | (303) $false % 34.33/10.04 | % 34.33/10.04 |-The branch is then unsatisfiable % 34.33/10.04 |-Branch two: % 34.33/10.04 | (484) ~ (unit = e4) % 34.33/10.04 | (647) unit = e3 | unit = e1 | unit = e0 % 34.33/10.04 | % 34.33/10.04 +-Applying beta-rule and splitting (647), into two cases. % 34.33/10.04 |-Branch one: % 34.33/10.04 | (648) unit = e1 % 34.33/10.04 | % 34.33/10.04 | Equations (648) can reduce 510 to: % 34.33/10.04 | (303) $false % 34.33/10.04 | % 34.33/10.04 |-The branch is then unsatisfiable % 34.33/10.04 |-Branch two: % 34.33/10.04 | (510) ~ (unit = e1) % 34.33/10.04 | (659) unit = e3 | unit = e0 % 34.33/10.04 | % 34.33/10.04 +-Applying beta-rule and splitting (659), into two cases. % 34.33/10.04 |-Branch one: % 34.33/10.04 | (660) unit = e0 % 34.33/10.04 | % 34.33/10.04 | Equations (660) can reduce 599 to: % 34.33/10.04 | (335) ~ (e2 = e0) % 34.33/10.04 | % 34.33/10.04 | Simplifying 335 yields: % 34.33/10.04 | (51) ~ (e2 = e0) % 34.33/10.04 | % 34.33/10.04 | From (660) and (17) follows: % 34.33/10.04 | (1195) op(e0, e4) = e4 % 34.33/10.04 | % 34.33/10.04 | From (660) and (111) follows: % 34.33/10.04 | (3633) op(e0, e0) = e0 % 34.33/10.04 | % 34.33/10.04 | Instantiating formula (29) with e0, e4, e4, e2 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e2, yields: % 34.33/10.04 | (470) e4 = e2 % 34.33/10.04 | % 34.33/10.04 | Instantiating formula (29) with e0, e0, e0, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields: % 34.33/10.04 | (654) e4 = e0 % 34.33/10.04 | % 34.33/10.04 | Combining equations (654,470) yields a new equation: % 34.33/10.04 | (385) e2 = e0 % 34.33/10.04 | % 34.33/10.04 | Equations (385) can reduce 51 to: % 34.33/10.04 | (303) $false % 34.33/10.04 | % 34.33/10.04 |-The branch is then unsatisfiable % 34.33/10.04 |-Branch two: % 34.33/10.04 | (537) ~ (unit = e0) % 34.33/10.04 | (674) unit = e3 % 34.33/10.04 | % 34.33/10.04 | From (674) and (74) follows: % 34.33/10.04 | (8513) op(e2, e3) = e2 % 34.33/10.04 | % 34.33/10.04 | From (674) and (190) follows: % 34.33/10.04 | (468) op(e1, e3) = e1 % 34.33/10.04 | % 34.33/10.04 | Instantiating formula (29) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields: % 34.33/10.05 | (385) e2 = e0 % 34.33/10.05 | % 34.33/10.05 | Instantiating formula (29) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 34.33/10.05 | (585) e2 = e1 % 34.33/10.05 | % 34.33/10.05 | Combining equations (585,385) yields a new equation: % 34.33/10.05 | (670) e1 = e0 % 34.33/10.05 | % 34.33/10.05 | Simplifying 670 yields: % 34.33/10.05 | (590) e1 = e0 % 34.33/10.05 | % 34.33/10.05 | Equations (590) can reduce 134 to: % 34.33/10.05 | (303) $false % 34.33/10.05 | % 34.33/10.05 |-The branch is then unsatisfiable % 34.33/10.05 |-Branch two: % 34.33/10.05 | (802) ~ (all_0_48_48 = e1) % 34.33/10.05 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 34.33/10.05 | % 34.33/10.05 +-Applying beta-rule and splitting (807), into two cases. % 34.33/10.05 |-Branch one: % 34.33/10.05 | (1070) all_0_52_52 = e1 % 34.33/10.05 | % 34.33/10.05 | Combining equations (425,1070) yields a new equation: % 34.33/10.05 | (680) e3 = e1 % 34.33/10.05 | % 34.33/10.05 | Simplifying 680 yields: % 34.33/10.05 | (601) e3 = e1 % 34.33/10.05 | % 34.33/10.05 | Equations (601) can reduce 136 to: % 34.33/10.05 | (303) $false % 34.33/10.05 | % 34.33/10.05 |-The branch is then unsatisfiable % 34.33/10.05 |-Branch two: % 34.33/10.05 | (502) ~ (all_0_52_52 = e1) % 34.33/10.05 | (583) all_0_56_56 = e1 % 34.33/10.05 | % 34.33/10.05 | Combining equations (580,583) yields a new equation: % 34.33/10.05 | (584) e2 = e1 % 34.33/10.05 | % 34.33/10.05 | Simplifying 584 yields: % 34.33/10.05 | (585) e2 = e1 % 34.33/10.05 | % 34.33/10.05 | Equations (585) can reduce 144 to: % 34.33/10.05 | (303) $false % 34.33/10.05 | % 34.33/10.05 |-The branch is then unsatisfiable % 34.33/10.05 |-Branch two: % 34.33/10.05 | (699) ~ (all_0_41_41 = e1) % 34.33/10.05 | (2158) all_0_41_41 = e3 | all_0_41_41 = e0 % 34.33/10.05 | % 34.33/10.05 +-Applying beta-rule and splitting (2158), into two cases. % 34.33/10.05 |-Branch one: % 34.33/10.05 | (398) all_0_41_41 = e0 % 34.33/10.05 | % 34.33/10.05 | Equations (398) can reduce 326 to: % 34.33/10.05 | (303) $false % 34.33/10.05 | % 34.33/10.05 |-The branch is then unsatisfiable % 34.33/10.05 |-Branch two: % 34.33/10.05 | (326) ~ (all_0_41_41 = e0) % 34.33/10.05 | (431) all_0_41_41 = e3 % 34.33/10.05 | % 34.33/10.05 | Equations (431) can reduce 996 to: % 34.33/10.05 | (303) $false % 34.33/10.05 | % 34.33/10.05 |-The branch is then unsatisfiable % 34.33/10.05 |-Branch two: % 34.33/10.05 | (434) ~ (all_0_43_43 = e3) % 34.33/10.05 | (2081) all_0_44_44 = e3 % 34.33/10.05 | % 34.33/10.05 | Combining equations (2081,2078) yields a new equation: % 34.33/10.05 | (496) e3 = e0 % 34.33/10.05 | % 34.33/10.05 | Simplifying 496 yields: % 34.33/10.05 | (497) e3 = e0 % 34.33/10.05 | % 34.33/10.05 | Equations (497) can reduce 70 to: % 34.33/10.05 | (303) $false % 34.33/10.05 | % 34.33/10.05 |-The branch is then unsatisfiable % 34.33/10.05 |-Branch two: % 34.33/10.05 | (350) ~ (all_0_60_60 = e4) % 34.33/10.05 | (1906) all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 34.33/10.05 | % 34.33/10.05 +-Applying beta-rule and splitting (1500), into two cases. % 34.33/10.05 |-Branch one: % 34.33/10.05 | (1501) all_0_51_51 = e4 % 34.33/10.05 | % 34.33/10.05 | Combining equations (927,1501) yields a new equation: % 34.33/10.05 | (470) e4 = e2 % 34.33/10.05 | % 34.33/10.05 | Equations (470) can reduce 231 to: % 34.33/10.05 | (303) $false % 34.33/10.05 | % 34.33/10.05 |-The branch is then unsatisfiable % 34.33/10.05 |-Branch two: % 34.33/10.05 | (1504) ~ (all_0_51_51 = e4) % 34.33/10.05 | (1505) all_0_55_55 = e4 | all_0_60_60 = e4 % 34.33/10.05 | % 34.33/10.05 +-Applying beta-rule and splitting (1505), into two cases. % 34.33/10.05 |-Branch one: % 34.33/10.05 | (473) all_0_55_55 = e4 % 34.33/10.05 | % 34.33/10.05 | Combining equations (530,473) yields a new equation: % 34.33/10.05 | (541) e4 = e1 % 34.33/10.05 | % 34.33/10.05 | Equations (541) can reduce 247 to: % 34.33/10.05 | (303) $false % 34.33/10.05 | % 34.33/10.05 |-The branch is then unsatisfiable % 34.33/10.05 |-Branch two: % 34.33/10.05 | (492) ~ (all_0_55_55 = e4) % 34.33/10.05 | (1510) all_0_60_60 = e4 % 34.33/10.05 | % 34.33/10.05 | Equations (1510) can reduce 350 to: % 34.33/10.05 | (303) $false % 34.33/10.05 | % 34.33/10.05 |-The branch is then unsatisfiable % 34.33/10.05 |-Branch two: % 34.33/10.05 | (330) ~ (all_0_44_44 = e0) % 34.33/10.05 | (2270) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_60_60 = e0 % 34.33/10.05 | % 34.33/10.05 +-Applying beta-rule and splitting (5766), into two cases. % 34.33/10.05 |-Branch one: % 34.33/10.05 | (398) all_0_41_41 = e0 % 34.33/10.05 | % 34.33/10.05 | Equations (398) can reduce 326 to: % 34.33/10.05 | (303) $false % 34.33/10.05 | % 34.33/10.05 |-The branch is then unsatisfiable % 34.33/10.05 |-Branch two: % 34.33/10.05 | (326) ~ (all_0_41_41 = e0) % 34.33/10.05 | (5772) all_0_42_42 = e0 | all_0_44_44 = e0 % 34.33/10.05 | % 34.33/10.05 +-Applying beta-rule and splitting (5772), into two cases. % 34.33/10.05 |-Branch one: % 34.33/10.05 | (324) all_0_42_42 = e0 % 34.33/10.05 | % 34.33/10.05 | Combining equations (959,324) yields a new equation: % 34.33/10.05 | (403) e2 = e0 % 34.33/10.05 | % 34.33/10.05 | Simplifying 403 yields: % 34.33/10.05 | (385) e2 = e0 % 34.33/10.05 | % 34.33/10.05 | Equations (385) can reduce 51 to: % 34.33/10.05 | (303) $false % 34.33/10.05 | % 34.33/10.05 |-The branch is then unsatisfiable % 34.33/10.05 |-Branch two: % 34.33/10.05 | (3164) ~ (all_0_42_42 = e0) % 34.33/10.05 | (2078) all_0_44_44 = e0 % 34.33/10.05 | % 34.33/10.05 | Equations (2078) can reduce 330 to: % 34.33/10.05 | (303) $false % 34.33/10.05 | % 34.33/10.05 |-The branch is then unsatisfiable % 34.33/10.05 |-Branch two: % 34.33/10.05 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 34.33/10.05 | % 34.33/10.05 | Applying alpha-rule on (514) yields: % 34.33/10.05 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 34.33/10.05 | (516) ~ (all_0_47_47 = e3) % 34.33/10.05 | (314) ~ (all_0_55_55 = e3) % 34.33/10.05 | (368) all_0_49_49 = e2 % 34.33/10.05 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 34.33/10.05 | (520) ~ (unit = e3) % 34.33/10.05 | (521) ~ (all_0_52_52 = e3) % 34.33/10.05 | (455) ~ (all_0_46_46 = e3) % 34.33/10.05 | (432) ~ (all_0_40_40 = e3) % 34.33/10.05 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 34.33/10.05 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 34.33/10.05 | (526) ~ (all_0_56_56 = e3) % 34.33/10.05 | % 34.33/10.05 | Equations (425) can reduce 521 to: % 34.33/10.05 | (303) $false % 34.33/10.05 | % 34.33/10.05 |-The branch is then unsatisfiable % 34.33/10.05 |-Branch two: % 34.33/10.05 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 34.33/10.05 | % 34.33/10.05 | Applying alpha-rule on (528) yields: % 34.33/10.05 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 34.33/10.05 | (530) all_0_55_55 = e1 % 34.33/10.05 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 34.33/10.05 | (387) ~ (all_0_49_49 = e0) % 34.33/10.05 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 34.33/10.05 | (534) ~ (all_0_45_45 = e0) % 34.33/10.05 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 34.33/10.05 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 34.33/10.05 | (537) ~ (unit = e0) % 34.33/10.05 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 34.33/10.05 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 34.33/10.05 | % 34.33/10.05 | Equations (287) can reduce 534 to: % 34.33/10.05 | (303) $false % 34.33/10.05 | % 34.33/10.05 |-The branch is then unsatisfiable % 34.33/10.05 |-Branch two: % 34.33/10.05 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 34.33/10.05 | % 34.33/10.05 | Applying alpha-rule on (543) yields: % 34.33/10.05 | (544) ~ (all_0_48_48 = e2) % 34.33/10.05 | (369) ~ (all_0_41_41 = e2) % 34.33/10.05 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 34.33/10.05 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 34.33/10.05 | (253) ~ (all_0_43_43 = e2) % 34.33/10.05 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 34.33/10.05 | (276) ~ (all_0_55_55 = e2) % 34.33/10.05 | (260) ~ (all_0_59_59 = e2) % 34.33/10.05 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 34.33/10.05 | (274) ~ (all_0_53_53 = e2) % 34.33/10.05 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 34.33/10.05 | (373) ~ (all_0_51_51 = e2) % 34.33/10.05 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 34.33/10.05 | (256) ~ (all_0_47_47 = e2) % 34.33/10.05 | (377) ~ (all_0_57_57 = e2) % 34.33/10.05 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 34.33/10.05 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 34.33/10.05 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 34.33/10.05 | (258) ~ (all_0_50_50 = e2) % 34.33/10.05 | (254) ~ (all_0_45_45 = e2) % 34.33/10.05 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 34.33/10.05 | % 34.33/10.05 | Equations (360) can reduce 274 to: % 34.33/10.05 | (303) $false % 34.33/10.05 | % 34.33/10.05 |-The branch is then unsatisfiable % 34.33/10.05 |-Branch two: % 34.33/10.05 | (274) ~ (all_0_53_53 = e2) % 34.33/10.05 | (363) all_0_53_53 = e3 | all_0_53_53 = e1 % 34.33/10.05 | % 34.33/10.05 +-Applying beta-rule and splitting (363), into two cases. % 34.33/10.05 |-Branch one: % 34.33/10.05 | (462) all_0_53_53 = e1 % 34.33/10.05 | % 34.33/10.05 | Equations (462) can reduce 509 to: % 34.33/10.05 | (303) $false % 34.33/10.05 | % 34.33/10.05 |-The branch is then unsatisfiable % 34.33/10.05 |-Branch two: % 34.33/10.05 | (509) ~ (all_0_53_53 = e1) % 34.33/10.05 | (994) all_0_53_53 = e3 % 34.33/10.05 | % 34.33/10.05 | Equations (994) can reduce 121 to: % 34.33/10.05 | (996) ~ (all_0_41_41 = e3) % 34.33/10.05 | % 34.33/10.05 | Equations (994) can reduce 7 to: % 34.33/10.05 | (218) ~ (all_0_49_49 = e3) % 34.33/10.05 | % 34.33/10.05 | Equations (994) can reduce 77 to: % 34.33/10.05 | (521) ~ (all_0_52_52 = e3) % 34.33/10.05 | % 34.33/10.05 | Equations (994) can reduce 251 to: % 34.33/10.05 | (2589) ~ (all_0_57_57 = e3) % 34.33/10.05 | % 34.33/10.05 | Simplifying 2589 yields: % 34.33/10.05 | (2590) ~ (all_0_57_57 = e3) % 34.33/10.05 | % 34.33/10.05 | Equations (994) can reduce 140 to: % 34.33/10.05 | (70) ~ (e3 = e0) % 34.33/10.05 | % 34.33/10.05 | From (994) and (242) follows: % 34.33/10.05 | (2592) op(e3, e3) = all_0_26_26 % 34.33/10.05 | % 34.33/10.05 | From (994) and (54) follows: % 34.33/10.05 | (2593) op(e3, e1) = all_0_25_25 % 34.33/10.05 | % 34.33/10.05 | From (994) and (224) follows: % 34.33/10.05 | (650) op(e1, e3) = e3 % 34.33/10.05 | % 34.33/10.05 +-Applying beta-rule and splitting (24), into two cases. % 34.33/10.05 |-Branch one: % 34.33/10.05 | (980) all_0_52_52 = e2 % 34.33/10.05 | % 34.33/10.05 | Equations (980) can reduce 108 to: % 34.33/10.05 | (544) ~ (all_0_48_48 = e2) % 34.33/10.05 | % 34.33/10.05 | Equations (980) can reduce 149 to: % 34.33/10.05 | (2174) ~ (all_0_56_56 = e2) % 34.33/10.05 | % 34.33/10.05 | Simplifying 2174 yields: % 34.33/10.05 | (594) ~ (all_0_56_56 = e2) % 34.33/10.05 | % 34.33/10.05 | Equations (980) can reduce 78 to: % 34.33/10.05 | (51) ~ (e2 = e0) % 34.33/10.05 | % 34.33/10.05 | From (980) and (45) follows: % 34.33/10.05 | (13962) op(e2, e4) = all_0_24_24 % 34.33/10.05 | % 34.33/10.05 | From (980) and (156) follows: % 34.33/10.05 | (13963) op(e2, e1) = all_0_23_23 % 34.33/10.05 | % 34.33/10.05 | From (980) and (152) follows: % 34.33/10.05 | (13964) op(e1, e4) = e2 % 34.33/10.05 | % 34.33/10.05 | Instantiating formula (29) with e3, e3, all_0_26_26, e4 and discharging atoms op(e3, e3) = all_0_26_26, op(e3, e3) = e4, yields: % 34.33/10.05 | (2620) all_0_26_26 = e4 % 34.33/10.05 | % 34.33/10.05 | Instantiating formula (29) with e3, e1, all_0_25_25, e2 and discharging atoms op(e3, e1) = all_0_25_25, op(e3, e1) = e2, yields: % 34.33/10.05 | (2621) all_0_25_25 = e2 % 34.33/10.05 | % 34.33/10.05 | Instantiating formula (29) with e2, e4, all_0_24_24, all_0_48_48 and discharging atoms op(e2, e4) = all_0_24_24, op(e2, e4) = all_0_48_48, yields: % 34.33/10.05 | (13981) all_0_24_24 = all_0_48_48 % 34.33/10.05 | % 34.33/10.05 | Instantiating formula (29) with e2, e1, all_0_23_23, all_0_50_50 and discharging atoms op(e2, e1) = all_0_23_23, op(e2, e1) = all_0_50_50, yields: % 34.33/10.06 | (13982) all_0_23_23 = all_0_50_50 % 34.33/10.06 | % 34.33/10.06 | From (2620) and (2592) follows: % 34.33/10.06 | (22) op(e3, e3) = e4 % 34.33/10.06 | % 34.33/10.06 | From (2621) and (2593) follows: % 34.33/10.06 | (266) op(e3, e1) = e2 % 34.33/10.06 | % 34.33/10.06 | From (13981) and (13962) follows: % 34.33/10.06 | (105) op(e2, e4) = all_0_48_48 % 34.33/10.06 | % 34.33/10.06 | From (13982) and (13963) follows: % 34.33/10.06 | (186) op(e2, e1) = all_0_50_50 % 34.33/10.06 | % 34.33/10.06 +-Applying beta-rule and splitting (250), into two cases. % 34.33/10.06 |-Branch one: % 34.33/10.06 | (897) all_0_57_57 = e2 % 34.33/10.06 | % 34.33/10.06 | Equations (897) can reduce 11 to: % 34.33/10.06 | (369) ~ (all_0_41_41 = e2) % 34.33/10.06 | % 34.33/10.06 | Equations (897) can reduce 226 to: % 34.33/10.06 | (2167) ~ (all_0_49_49 = e2) % 34.33/10.06 | % 34.33/10.06 | Equations (897) can reduce 222 to: % 34.33/10.06 | (259) ~ (all_0_59_59 = e2) % 34.33/10.06 | % 34.33/10.06 | Simplifying 259 yields: % 34.33/10.06 | (260) ~ (all_0_59_59 = e2) % 34.33/10.06 | % 34.33/10.06 | Equations (897) can reduce 2273 to: % 34.33/10.06 | (51) ~ (e2 = e0) % 34.33/10.06 | % 34.33/10.06 | From (897) and (5) follows: % 34.33/10.06 | (2880) op(e0, e3) = e2 % 34.33/10.06 | % 34.33/10.06 +-Applying beta-rule and splitting (97), into two cases. % 34.33/10.06 |-Branch one: % 34.33/10.06 | (727) all_0_48_48 = e2 % 34.33/10.06 | % 34.33/10.06 | Equations (727) can reduce 544 to: % 34.33/10.06 | (303) $false % 34.33/10.06 | % 34.33/10.06 |-The branch is then unsatisfiable % 34.33/10.06 |-Branch two: % 34.33/10.06 | (544) ~ (all_0_48_48 = e2) % 34.33/10.06 | (2476) all_0_49_49 = e2 | all_0_50_50 = e2 | all_0_51_51 = e2 % 34.33/10.06 | % 34.33/10.06 +-Applying beta-rule and splitting (2476), into two cases. % 34.33/10.06 |-Branch one: % 34.33/10.06 | (368) all_0_49_49 = e2 % 34.33/10.06 | % 34.33/10.06 | Equations (368) can reduce 2167 to: % 34.33/10.06 | (303) $false % 34.33/10.06 | % 34.33/10.06 |-The branch is then unsatisfiable % 34.33/10.06 |-Branch two: % 34.33/10.06 | (2167) ~ (all_0_49_49 = e2) % 34.33/10.06 | (2480) all_0_50_50 = e2 | all_0_51_51 = e2 % 34.33/10.06 | % 34.33/10.06 +-Applying beta-rule and splitting (2480), into two cases. % 34.33/10.06 |-Branch one: % 34.33/10.06 | (364) all_0_50_50 = e2 % 34.33/10.06 | % 34.33/10.06 | Equations (364) can reduce 258 to: % 34.33/10.06 | (303) $false % 34.33/10.06 | % 34.33/10.06 |-The branch is then unsatisfiable % 34.33/10.06 |-Branch two: % 34.33/10.06 | (258) ~ (all_0_50_50 = e2) % 34.33/10.06 | (927) all_0_51_51 = e2 % 34.33/10.06 | % 34.33/10.06 | Equations (927) can reduce 161 to: % 34.33/10.06 | (915) ~ (all_0_44_44 = e2) % 34.33/10.06 | % 34.33/10.06 | Equations (927) can reduce 160 to: % 34.33/10.06 | (2167) ~ (all_0_49_49 = e2) % 34.33/10.06 | % 34.33/10.06 | Equations (927) can reduce 95 to: % 34.33/10.06 | (573) ~ (all_0_60_60 = e2) % 34.33/10.06 | % 34.33/10.06 | Simplifying 573 yields: % 34.33/10.06 | (571) ~ (all_0_60_60 = e2) % 34.33/10.06 | % 34.33/10.06 | From (927) and (66) follows: % 34.33/10.06 | (664) op(e2, e0) = e2 % 34.33/10.06 | % 34.33/10.06 +-Applying beta-rule and splitting (84), into two cases. % 34.33/10.06 |-Branch one: % 34.33/10.06 | (2078) all_0_44_44 = e0 % 34.33/10.06 | % 34.33/10.06 | Equations (2078) can reduce 176 to: % 34.33/10.06 | (326) ~ (all_0_41_41 = e0) % 34.33/10.06 | % 34.33/10.06 | Equations (2078) can reduce 165 to: % 34.33/10.06 | (413) ~ (all_0_60_60 = e0) % 34.33/10.06 | % 34.33/10.06 | Simplifying 413 yields: % 34.33/10.06 | (414) ~ (all_0_60_60 = e0) % 34.33/10.06 | % 34.33/10.06 | Equations (2078) can reduce 310 to: % 34.33/10.06 | (333) ~ (e3 = e0) % 34.33/10.06 | % 34.33/10.06 | Simplifying 333 yields: % 34.33/10.06 | (70) ~ (e3 = e0) % 34.33/10.06 | % 34.33/10.06 | Equations (2078) can reduce 915 to: % 34.33/10.06 | (335) ~ (e2 = e0) % 34.33/10.06 | % 34.33/10.06 | Simplifying 335 yields: % 34.33/10.06 | (51) ~ (e2 = e0) % 34.33/10.06 | % 34.33/10.06 +-Applying beta-rule and splitting (56), into two cases. % 34.33/10.06 |-Branch one: % 34.33/10.06 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 34.33/10.06 | % 34.33/10.06 +-Applying beta-rule and splitting (480), into two cases. % 34.33/10.06 |-Branch one: % 34.33/10.06 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 34.33/10.06 | % 34.33/10.06 +-Applying beta-rule and splitting (481), into two cases. % 34.33/10.06 |-Branch one: % 34.33/10.06 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 34.33/10.06 | % 34.33/10.06 +-Applying beta-rule and splitting (482), into two cases. % 34.33/10.06 |-Branch one: % 34.33/10.06 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 34.33/10.06 | % 34.33/10.06 | Applying alpha-rule on (483) yields: % 34.33/10.06 | (484) ~ (unit = e4) % 34.33/10.06 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 34.33/10.06 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 34.33/10.06 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 34.33/10.06 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 34.33/10.06 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 34.33/10.06 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 34.33/10.06 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 34.33/10.06 | (492) ~ (all_0_55_55 = e4) % 34.33/10.06 | (493) all_0_45_45 = e3 % 34.33/10.06 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 34.33/10.06 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 34.33/10.06 | % 34.33/10.06 | Combining equations (493,287) yields a new equation: % 34.33/10.06 | (496) e3 = e0 % 34.33/10.06 | % 34.33/10.06 | Simplifying 496 yields: % 34.33/10.06 | (497) e3 = e0 % 34.33/10.06 | % 34.33/10.06 | Equations (497) can reduce 70 to: % 34.33/10.06 | (303) $false % 34.33/10.06 | % 34.33/10.06 |-The branch is then unsatisfiable % 34.33/10.06 |-Branch two: % 34.33/10.06 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 34.33/10.06 | % 34.33/10.06 | Applying alpha-rule on (499) yields: % 34.33/10.06 | (500) ~ (all_0_51_51 = e1) % 34.33/10.06 | (501) ~ (all_0_60_60 = e1) % 34.33/10.06 | (502) ~ (all_0_52_52 = e1) % 34.33/10.06 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 34.33/10.06 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 34.33/10.06 | (252) all_0_46_46 = e2 % 34.33/10.06 | (506) ~ (all_0_49_49 = e1) % 34.33/10.06 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 34.33/10.06 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 34.33/10.06 | (509) ~ (all_0_53_53 = e1) % 34.33/10.06 | (510) ~ (unit = e1) % 34.33/10.06 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 34.33/10.06 | (512) ~ (all_0_44_44 = e1) % 34.33/10.06 | % 34.33/10.06 | Equations (980) can reduce 502 to: % 34.33/10.06 | (144) ~ (e2 = e1) % 34.33/10.06 | % 34.33/10.06 | Equations (994) can reduce 509 to: % 34.33/10.06 | (136) ~ (e3 = e1) % 34.33/10.06 | % 34.33/10.06 +-Applying beta-rule and splitting (150), into two cases. % 34.33/10.06 |-Branch one: % 34.33/10.06 | (398) all_0_41_41 = e0 % 34.33/10.06 | % 34.33/10.06 | Equations (398) can reduce 326 to: % 34.33/10.06 | (303) $false % 34.33/10.06 | % 34.33/10.06 |-The branch is then unsatisfiable % 34.33/10.06 |-Branch two: % 34.33/10.06 | (326) ~ (all_0_41_41 = e0) % 34.33/10.06 | (401) all_0_49_49 = e0 | all_0_57_57 = e0 % 34.33/10.06 | % 34.33/10.06 +-Applying beta-rule and splitting (221), into two cases. % 34.33/10.06 |-Branch one: % 34.33/10.06 | (696) all_0_41_41 = e1 % 34.33/10.06 | % 34.33/10.06 | Equations (696) can reduce 43 to: % 34.33/10.06 | (1020) ~ (all_0_43_43 = e1) % 34.33/10.06 | % 34.33/10.06 | Simplifying 1020 yields: % 34.33/10.06 | (622) ~ (all_0_43_43 = e1) % 34.33/10.06 | % 34.33/10.06 | Equations (696) can reduce 369 to: % 34.33/10.06 | (565) ~ (e2 = e1) % 34.33/10.06 | % 34.33/10.06 | Simplifying 565 yields: % 34.33/10.06 | (144) ~ (e2 = e1) % 34.33/10.06 | % 34.33/10.06 +-Applying beta-rule and splitting (220), into two cases. % 34.33/10.06 |-Branch one: % 34.33/10.06 | (913) all_0_60_60 = e2 % 34.33/10.06 | % 34.33/10.06 | Equations (913) can reduce 571 to: % 34.33/10.06 | (303) $false % 34.33/10.06 | % 34.33/10.06 |-The branch is then unsatisfiable % 34.33/10.06 |-Branch two: % 34.33/10.06 | (571) ~ (all_0_60_60 = e2) % 34.33/10.06 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 34.33/10.06 | % 34.33/10.06 +-Applying beta-rule and splitting (1275), into two cases. % 34.33/10.06 |-Branch one: % 34.33/10.06 | (1510) all_0_60_60 = e4 % 34.33/10.06 | % 34.33/10.06 | Equations (1510) can reduce 316 to: % 34.33/10.06 | (30) ~ (e4 = e3) % 34.33/10.06 | % 34.33/10.06 | Equations (1510) can reduce 501 to: % 34.33/10.06 | (247) ~ (e4 = e1) % 34.33/10.06 | % 34.33/10.06 | From (1510) and (170) follows: % 34.33/10.06 | (5006) op(e0, e0) = e4 % 34.33/10.06 | % 34.33/10.06 +-Applying beta-rule and splitting (401), into two cases. % 34.33/10.06 |-Branch one: % 34.33/10.06 | (384) all_0_49_49 = e0 % 34.33/10.06 | % 34.33/10.06 | Equations (384) can reduce 58 to: % 34.33/10.06 | (292) ~ (all_0_48_48 = e0) % 34.33/10.06 | % 34.33/10.06 +-Applying beta-rule and splitting (507), into two cases. % 34.33/10.06 |-Branch one: % 34.33/10.06 | (699) ~ (all_0_41_41 = e1) % 34.33/10.06 | % 34.33/10.06 | Equations (696) can reduce 699 to: % 34.33/10.06 | (303) $false % 34.33/10.06 | % 34.33/10.06 |-The branch is then unsatisfiable % 34.33/10.06 |-Branch two: % 34.33/10.06 | (696) all_0_41_41 = e1 % 34.33/10.06 | (447) all_0_43_43 = e3 % 34.33/10.06 | % 34.33/10.06 | Equations (447) can reduce 249 to: % 34.33/10.06 | (1030) ~ (all_0_59_59 = e3) % 34.33/10.06 | % 34.33/10.06 | Simplifying 1030 yields: % 34.33/10.06 | (1031) ~ (all_0_59_59 = e3) % 34.33/10.06 | % 34.33/10.06 | Equations (447) can reduce 253 to: % 34.33/10.06 | (223) ~ (e3 = e2) % 34.33/10.06 | % 34.33/10.06 | Equations (447) can reduce 622 to: % 34.33/10.06 | (136) ~ (e3 = e1) % 34.33/10.06 | % 34.33/10.06 | From (447) and (19) follows: % 34.33/10.06 | (3299) op(e4, e1) = e3 % 34.33/10.06 | % 34.33/10.06 +-Applying beta-rule and splitting (139), into two cases. % 34.33/10.06 |-Branch one: % 34.33/10.06 | (614) all_0_43_43 = e4 % 34.33/10.06 | % 34.33/10.06 | Combining equations (447,614) yields a new equation: % 34.33/10.06 | (443) e4 = e3 % 34.33/10.06 | % 34.33/10.06 | Equations (443) can reduce 30 to: % 34.33/10.06 | (303) $false % 34.33/10.06 | % 34.33/10.06 |-The branch is then unsatisfiable % 34.33/10.06 |-Branch two: % 34.33/10.06 | (712) ~ (all_0_43_43 = e4) % 34.33/10.06 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 34.33/10.06 | % 34.33/10.06 | Equations (447) can reduce 712 to: % 34.33/10.06 | (439) ~ (e4 = e3) % 34.33/10.06 | % 34.33/10.06 | Simplifying 439 yields: % 34.33/10.06 | (30) ~ (e4 = e3) % 34.33/10.06 | % 34.33/10.06 +-Applying beta-rule and splitting (209), into two cases. % 34.33/10.06 |-Branch one: % 34.33/10.06 | (1111) all_0_56_56 = e3 % 34.33/10.06 | % 34.33/10.06 | From (1111) and (132) follows: % 34.33/10.06 | (1116) op(e0, e4) = e3 % 34.33/10.06 | % 34.33/10.06 +-Applying beta-rule and splitting (245), into two cases. % 34.33/10.06 |-Branch one: % 34.33/10.06 | (583) all_0_56_56 = e1 % 34.33/10.06 | % 34.33/10.06 | Combining equations (1111,583) yields a new equation: % 34.33/10.06 | (680) e3 = e1 % 34.33/10.06 | % 34.33/10.06 | Simplifying 680 yields: % 34.33/10.06 | (601) e3 = e1 % 34.33/10.06 | % 34.33/10.06 | Equations (601) can reduce 136 to: % 34.33/10.06 | (303) $false % 34.33/10.06 | % 34.33/10.06 |-The branch is then unsatisfiable % 34.33/10.06 |-Branch two: % 34.33/10.06 | (587) ~ (all_0_56_56 = e1) % 34.33/10.06 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 34.33/10.06 | % 34.33/10.06 +-Applying beta-rule and splitting (588), into two cases. % 34.33/10.06 |-Branch one: % 34.33/10.06 | (589) all_0_57_57 = e1 % 34.33/10.06 | % 34.33/10.06 | Combining equations (589,897) yields a new equation: % 34.33/10.06 | (585) e2 = e1 % 34.33/10.06 | % 34.33/10.06 | Equations (585) can reduce 144 to: % 34.33/10.06 | (303) $false % 34.33/10.06 | % 34.33/10.06 |-The branch is then unsatisfiable % 34.33/10.06 |-Branch two: % 34.33/10.06 | (592) ~ (all_0_57_57 = e1) % 34.33/10.06 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 34.33/10.06 | % 34.33/10.06 +-Applying beta-rule and splitting (593), into two cases. % 34.33/10.06 |-Branch one: % 34.33/10.06 | (600) all_0_59_59 = e1 % 34.33/10.06 | % 34.33/10.06 | Equations (600) can reduce 126 to: % 34.33/10.06 | (678) ~ (all_0_50_50 = e1) % 34.33/10.06 | % 34.33/10.06 | Equations (600) can reduce 260 to: % 34.33/10.06 | (565) ~ (e2 = e1) % 34.33/10.06 | % 34.33/10.06 | Simplifying 565 yields: % 34.33/10.06 | (144) ~ (e2 = e1) % 34.33/10.06 | % 34.33/10.06 | Equations (600) can reduce 216 to: % 34.33/10.06 | (134) ~ (e1 = e0) % 34.33/10.06 | % 34.33/10.06 +-Applying beta-rule and splitting (228), into two cases. % 34.33/10.06 |-Branch one: % 34.33/10.06 | (748) all_0_48_48 = e1 % 34.33/10.06 | % 34.33/10.06 | Equations (748) can reduce 292 to: % 34.33/10.06 | (134) ~ (e1 = e0) % 34.33/10.06 | % 34.33/10.06 +-Applying beta-rule and splitting (62), into two cases. % 34.33/10.06 |-Branch one: % 34.33/10.06 | (631) unit = e2 % 34.33/10.06 | % 34.33/10.06 | From (631) and (189) follows: % 34.33/10.06 | (397) op(e2, e0) = e0 % 34.33/10.06 | % 34.33/10.06 | From (631) and (98) follows: % 34.33/10.06 | (5015) op(e3, e2) = e3 % 34.33/10.06 | % 34.33/10.06 | From (631) and (74) follows: % 34.33/10.06 | (2715) op(e2, e2) = e2 % 34.33/10.06 | % 34.33/10.06 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 34.33/10.06 | (601) e3 = e1 % 34.33/10.06 | % 34.33/10.06 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 34.33/10.06 | (453) e3 = e2 % 34.33/10.06 | % 34.33/10.06 | Instantiating formula (29) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 34.33/10.06 | (385) e2 = e0 % 34.33/10.06 | % 34.33/10.06 | Combining equations (453,601) yields a new equation: % 34.33/10.06 | (584) e2 = e1 % 34.33/10.06 | % 34.33/10.06 | Simplifying 584 yields: % 34.33/10.06 | (585) e2 = e1 % 34.33/10.06 | % 34.33/10.06 | Combining equations (585,385) yields a new equation: % 34.33/10.06 | (670) e1 = e0 % 34.33/10.06 | % 34.33/10.06 | Simplifying 670 yields: % 34.33/10.06 | (590) e1 = e0 % 34.33/10.06 | % 34.33/10.06 | Equations (590) can reduce 134 to: % 34.33/10.06 | (303) $false % 34.33/10.06 | % 34.33/10.06 |-The branch is then unsatisfiable % 34.33/10.06 |-Branch two: % 34.33/10.06 | (599) ~ (unit = e2) % 34.33/10.06 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 34.33/10.06 | % 34.33/10.06 +-Applying beta-rule and splitting (634), into two cases. % 34.33/10.06 |-Branch one: % 34.33/10.06 | (635) unit = e4 % 34.33/10.06 | % 34.33/10.06 | From (635) and (38) follows: % 34.33/10.06 | (636) op(e4, e1) = e1 % 34.33/10.06 | % 34.33/10.06 | From (635) and (111) follows: % 34.33/10.06 | (638) op(e0, e4) = e0 % 34.33/10.06 | % 34.33/10.06 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 34.33/10.06 | (601) e3 = e1 % 34.33/10.06 | % 34.33/10.06 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 34.33/10.06 | (497) e3 = e0 % 34.33/10.06 | % 34.33/10.06 | Combining equations (601,497) yields a new equation: % 34.33/10.06 | (670) e1 = e0 % 34.33/10.06 | % 34.33/10.06 | Simplifying 670 yields: % 34.33/10.06 | (590) e1 = e0 % 34.33/10.06 | % 34.33/10.06 | Equations (590) can reduce 134 to: % 34.33/10.06 | (303) $false % 34.33/10.06 | % 34.33/10.06 |-The branch is then unsatisfiable % 34.33/10.06 |-Branch two: % 34.33/10.06 | (484) ~ (unit = e4) % 34.33/10.07 | (647) unit = e3 | unit = e1 | unit = e0 % 34.33/10.07 | % 34.33/10.07 +-Applying beta-rule and splitting (647), into two cases. % 34.33/10.07 |-Branch one: % 34.33/10.07 | (648) unit = e1 % 34.33/10.07 | % 34.33/10.07 | Equations (648) can reduce 510 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (510) ~ (unit = e1) % 34.33/10.07 | (659) unit = e3 | unit = e0 % 34.33/10.07 | % 34.33/10.07 +-Applying beta-rule and splitting (659), into two cases. % 34.33/10.07 |-Branch one: % 34.33/10.07 | (660) unit = e0 % 34.33/10.07 | % 34.33/10.07 | Equations (660) can reduce 599 to: % 34.33/10.07 | (335) ~ (e2 = e0) % 34.33/10.07 | % 34.33/10.07 | Simplifying 335 yields: % 34.33/10.07 | (51) ~ (e2 = e0) % 34.33/10.07 | % 34.33/10.07 | From (660) and (17) follows: % 34.33/10.07 | (1195) op(e0, e4) = e4 % 34.33/10.07 | % 34.33/10.07 | From (660) and (232) follows: % 34.33/10.07 | (1196) op(e0, e3) = e3 % 34.33/10.07 | % 34.33/10.07 | From (660) and (111) follows: % 34.33/10.07 | (3633) op(e0, e0) = e0 % 34.33/10.07 | % 34.33/10.07 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 34.33/10.07 | (443) e4 = e3 % 34.33/10.07 | % 34.33/10.07 | Instantiating formula (29) with e0, e3, e3, e2 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e2, yields: % 34.33/10.07 | (453) e3 = e2 % 34.33/10.07 | % 34.33/10.07 | Instantiating formula (29) with e0, e0, e0, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields: % 34.33/10.07 | (654) e4 = e0 % 34.33/10.07 | % 34.33/10.07 | Combining equations (654,443) yields a new equation: % 34.33/10.07 | (497) e3 = e0 % 34.33/10.07 | % 34.33/10.07 | Combining equations (497,453) yields a new equation: % 34.33/10.07 | (385) e2 = e0 % 34.33/10.07 | % 34.33/10.07 | Equations (385) can reduce 51 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (537) ~ (unit = e0) % 34.33/10.07 | (674) unit = e3 % 34.33/10.07 | % 34.33/10.07 | From (674) and (38) follows: % 34.33/10.07 | (675) op(e3, e1) = e1 % 34.33/10.07 | % 34.33/10.07 | From (674) and (111) follows: % 34.33/10.07 | (420) op(e0, e3) = e0 % 34.33/10.07 | % 34.33/10.07 | Instantiating formula (29) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 34.33/10.07 | (585) e2 = e1 % 34.33/10.07 | % 34.33/10.07 | Instantiating formula (29) with e0, e3, e0, e2 and discharging atoms op(e0, e3) = e2, op(e0, e3) = e0, yields: % 34.33/10.07 | (385) e2 = e0 % 34.33/10.07 | % 34.33/10.07 | Combining equations (385,585) yields a new equation: % 34.33/10.07 | (590) e1 = e0 % 34.33/10.07 | % 34.33/10.07 | Equations (590) can reduce 134 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (802) ~ (all_0_48_48 = e1) % 34.33/10.07 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 34.33/10.07 | % 34.33/10.07 +-Applying beta-rule and splitting (803), into two cases. % 34.33/10.07 |-Branch one: % 34.33/10.07 | (1580) all_0_49_49 = e1 % 34.33/10.07 | % 34.33/10.07 | Combining equations (1580,384) yields a new equation: % 34.33/10.07 | (670) e1 = e0 % 34.33/10.07 | % 34.33/10.07 | Simplifying 670 yields: % 34.33/10.07 | (590) e1 = e0 % 34.33/10.07 | % 34.33/10.07 | Equations (590) can reduce 134 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (506) ~ (all_0_49_49 = e1) % 34.33/10.07 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 34.33/10.07 | % 34.33/10.07 +-Applying beta-rule and splitting (1585), into two cases. % 34.33/10.07 |-Branch one: % 34.33/10.07 | (627) all_0_50_50 = e1 % 34.33/10.07 | % 34.33/10.07 | Equations (627) can reduce 678 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (678) ~ (all_0_50_50 = e1) % 34.33/10.07 | (1590) all_0_51_51 = e1 % 34.33/10.07 | % 34.33/10.07 | Combining equations (927,1590) yields a new equation: % 34.33/10.07 | (584) e2 = e1 % 34.33/10.07 | % 34.33/10.07 | Simplifying 584 yields: % 34.33/10.07 | (585) e2 = e1 % 34.33/10.07 | % 34.33/10.07 | Equations (585) can reduce 144 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (603) ~ (all_0_59_59 = e1) % 34.33/10.07 | (604) all_0_60_60 = e1 % 34.33/10.07 | % 34.33/10.07 | Combining equations (604,1510) yields a new equation: % 34.33/10.07 | (541) e4 = e1 % 34.33/10.07 | % 34.33/10.07 | Equations (541) can reduce 247 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (526) ~ (all_0_56_56 = e3) % 34.33/10.07 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 34.33/10.07 | % 34.33/10.07 +-Applying beta-rule and splitting (1491), into two cases. % 34.33/10.07 |-Branch one: % 34.33/10.07 | (1001) all_0_57_57 = e3 % 34.33/10.07 | % 34.33/10.07 | Combining equations (897,1001) yields a new equation: % 34.33/10.07 | (453) e3 = e2 % 34.33/10.07 | % 34.33/10.07 | Equations (453) can reduce 223 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (2590) ~ (all_0_57_57 = e3) % 34.33/10.07 | (2977) all_0_59_59 = e3 | all_0_60_60 = e3 % 34.33/10.07 | % 34.33/10.07 +-Applying beta-rule and splitting (2977), into two cases. % 34.33/10.07 |-Branch one: % 34.33/10.07 | (456) all_0_59_59 = e3 % 34.33/10.07 | % 34.33/10.07 | Equations (456) can reduce 1031 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (1031) ~ (all_0_59_59 = e3) % 34.33/10.07 | (1937) all_0_60_60 = e3 % 34.33/10.07 | % 34.33/10.07 | Combining equations (1937,1510) yields a new equation: % 34.33/10.07 | (443) e4 = e3 % 34.33/10.07 | % 34.33/10.07 | Equations (443) can reduce 30 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (387) ~ (all_0_49_49 = e0) % 34.33/10.07 | (407) all_0_57_57 = e0 % 34.33/10.07 | % 34.33/10.07 | Combining equations (897,407) yields a new equation: % 34.33/10.07 | (403) e2 = e0 % 34.33/10.07 | % 34.33/10.07 | Simplifying 403 yields: % 34.33/10.07 | (385) e2 = e0 % 34.33/10.07 | % 34.33/10.07 | Equations (385) can reduce 51 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (350) ~ (all_0_60_60 = e4) % 34.33/10.07 | (1906) all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 34.33/10.07 | % 34.33/10.07 +-Applying beta-rule and splitting (1906), into two cases. % 34.33/10.07 |-Branch one: % 34.33/10.07 | (604) all_0_60_60 = e1 % 34.33/10.07 | % 34.33/10.07 | Equations (604) can reduce 501 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (501) ~ (all_0_60_60 = e1) % 34.33/10.07 | (1933) all_0_60_60 = e3 | all_0_60_60 = e0 % 34.33/10.07 | % 34.33/10.07 +-Applying beta-rule and splitting (1933), into two cases. % 34.33/10.07 |-Branch one: % 34.33/10.07 | (1934) all_0_60_60 = e0 % 34.33/10.07 | % 34.33/10.07 | Equations (1934) can reduce 414 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (414) ~ (all_0_60_60 = e0) % 34.33/10.07 | (1937) all_0_60_60 = e3 % 34.33/10.07 | % 34.33/10.07 | Equations (1937) can reduce 316 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (699) ~ (all_0_41_41 = e1) % 34.33/10.07 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 34.33/10.07 | % 34.33/10.07 +-Applying beta-rule and splitting (2154), into two cases. % 34.33/10.07 |-Branch one: % 34.33/10.07 | (1580) all_0_49_49 = e1 % 34.33/10.07 | % 34.33/10.07 | Equations (1580) can reduce 506 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (506) ~ (all_0_49_49 = e1) % 34.33/10.07 | (2676) all_0_53_53 = e1 | all_0_57_57 = e1 % 34.33/10.07 | % 34.33/10.07 +-Applying beta-rule and splitting (2676), into two cases. % 34.33/10.07 |-Branch one: % 34.33/10.07 | (462) all_0_53_53 = e1 % 34.33/10.07 | % 34.33/10.07 | Combining equations (994,462) yields a new equation: % 34.33/10.07 | (680) e3 = e1 % 34.33/10.07 | % 34.33/10.07 | Simplifying 680 yields: % 34.33/10.07 | (601) e3 = e1 % 34.33/10.07 | % 34.33/10.07 | Equations (601) can reduce 136 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (509) ~ (all_0_53_53 = e1) % 34.33/10.07 | (589) all_0_57_57 = e1 % 34.33/10.07 | % 34.33/10.07 | Combining equations (589,897) yields a new equation: % 34.33/10.07 | (585) e2 = e1 % 34.33/10.07 | % 34.33/10.07 | Equations (585) can reduce 144 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 34.33/10.07 | % 34.33/10.07 | Applying alpha-rule on (514) yields: % 34.33/10.07 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 34.33/10.07 | (516) ~ (all_0_47_47 = e3) % 34.33/10.07 | (314) ~ (all_0_55_55 = e3) % 34.33/10.07 | (368) all_0_49_49 = e2 % 34.33/10.07 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 34.33/10.07 | (520) ~ (unit = e3) % 34.33/10.07 | (521) ~ (all_0_52_52 = e3) % 34.33/10.07 | (455) ~ (all_0_46_46 = e3) % 34.33/10.07 | (432) ~ (all_0_40_40 = e3) % 34.33/10.07 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 34.33/10.07 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 34.33/10.07 | (526) ~ (all_0_56_56 = e3) % 34.33/10.07 | % 34.33/10.07 | Equations (368) can reduce 2167 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 34.33/10.07 | % 34.33/10.07 | Applying alpha-rule on (528) yields: % 34.33/10.07 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 34.33/10.07 | (530) all_0_55_55 = e1 % 34.33/10.07 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 34.33/10.07 | (387) ~ (all_0_49_49 = e0) % 34.33/10.07 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 34.33/10.07 | (534) ~ (all_0_45_45 = e0) % 34.33/10.07 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 34.33/10.07 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 34.33/10.07 | (537) ~ (unit = e0) % 34.33/10.07 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 34.33/10.07 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 34.33/10.07 | % 34.33/10.07 | Equations (287) can reduce 534 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 34.33/10.07 | % 34.33/10.07 | Applying alpha-rule on (543) yields: % 34.33/10.07 | (544) ~ (all_0_48_48 = e2) % 34.33/10.07 | (369) ~ (all_0_41_41 = e2) % 34.33/10.07 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 34.33/10.07 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 34.33/10.07 | (253) ~ (all_0_43_43 = e2) % 34.33/10.07 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 34.33/10.07 | (276) ~ (all_0_55_55 = e2) % 34.33/10.07 | (260) ~ (all_0_59_59 = e2) % 34.33/10.07 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 34.33/10.07 | (274) ~ (all_0_53_53 = e2) % 34.33/10.07 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 34.33/10.07 | (373) ~ (all_0_51_51 = e2) % 34.33/10.07 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 34.33/10.07 | (256) ~ (all_0_47_47 = e2) % 34.33/10.07 | (377) ~ (all_0_57_57 = e2) % 34.33/10.07 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 34.33/10.07 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 34.33/10.07 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 34.33/10.07 | (258) ~ (all_0_50_50 = e2) % 34.33/10.07 | (254) ~ (all_0_45_45 = e2) % 34.33/10.07 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 34.33/10.07 | % 34.33/10.07 | Equations (897) can reduce 377 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (330) ~ (all_0_44_44 = e0) % 34.33/10.07 | (2270) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_60_60 = e0 % 34.33/10.07 | % 34.33/10.07 +-Applying beta-rule and splitting (2270), into two cases. % 34.33/10.07 |-Branch one: % 34.33/10.07 | (306) all_0_47_47 = e0 % 34.33/10.07 | % 34.33/10.07 | Combining equations (306,309) yields a new equation: % 34.33/10.07 | (497) e3 = e0 % 34.33/10.07 | % 34.33/10.07 | Equations (497) can reduce 70 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (290) ~ (all_0_47_47 = e0) % 34.33/10.07 | (2342) all_0_51_51 = e0 | all_0_60_60 = e0 % 34.33/10.07 | % 34.33/10.07 +-Applying beta-rule and splitting (2342), into two cases. % 34.33/10.07 |-Branch one: % 34.33/10.07 | (388) all_0_51_51 = e0 % 34.33/10.07 | % 34.33/10.07 | Combining equations (388,927) yields a new equation: % 34.33/10.07 | (385) e2 = e0 % 34.33/10.07 | % 34.33/10.07 | Equations (385) can reduce 51 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (2347) ~ (all_0_51_51 = e0) % 34.33/10.07 | (1934) all_0_60_60 = e0 % 34.33/10.07 | % 34.33/10.07 | Equations (1934) can reduce 414 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (377) ~ (all_0_57_57 = e2) % 34.33/10.07 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 34.33/10.07 | % 34.33/10.07 +-Applying beta-rule and splitting (61), into two cases. % 34.33/10.07 |-Branch one: % 34.33/10.07 | (580) all_0_56_56 = e2 % 34.33/10.07 | % 34.33/10.07 | Equations (580) can reduce 594 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (594) ~ (all_0_56_56 = e2) % 34.33/10.07 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 34.33/10.07 | % 34.33/10.07 +-Applying beta-rule and splitting (104), into two cases. % 34.33/10.07 |-Branch one: % 34.33/10.07 | (945) all_0_41_41 = e2 % 34.33/10.07 | % 34.33/10.07 | Equations (945) can reduce 369 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (369) ~ (all_0_41_41 = e2) % 34.33/10.07 | (2863) all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_57_57 = e2 % 34.33/10.07 | % 34.33/10.07 +-Applying beta-rule and splitting (2652), into two cases. % 34.33/10.07 |-Branch one: % 34.33/10.07 | (589) all_0_57_57 = e1 % 34.33/10.07 | % 34.33/10.07 | Equations (589) can reduce 11 to: % 34.33/10.07 | (699) ~ (all_0_41_41 = e1) % 34.33/10.07 | % 34.33/10.07 | Equations (589) can reduce 226 to: % 34.33/10.07 | (506) ~ (all_0_49_49 = e1) % 34.33/10.07 | % 34.33/10.07 | Equations (589) can reduce 172 to: % 34.33/10.07 | (587) ~ (all_0_56_56 = e1) % 34.33/10.07 | % 34.33/10.07 | Equations (589) can reduce 222 to: % 34.33/10.07 | (3274) ~ (all_0_59_59 = e1) % 34.33/10.07 | % 34.33/10.07 | Simplifying 3274 yields: % 34.33/10.07 | (603) ~ (all_0_59_59 = e1) % 34.33/10.07 | % 34.33/10.07 | Equations (589) can reduce 202 to: % 34.33/10.07 | (605) ~ (e4 = e1) % 34.33/10.07 | % 34.33/10.07 | Simplifying 605 yields: % 34.33/10.07 | (247) ~ (e4 = e1) % 34.33/10.07 | % 34.33/10.07 | Equations (589) can reduce 2590 to: % 34.33/10.07 | (465) ~ (e3 = e1) % 34.33/10.07 | % 34.33/10.07 | Simplifying 465 yields: % 34.33/10.07 | (136) ~ (e3 = e1) % 34.33/10.07 | % 34.33/10.07 | Equations (589) can reduce 377 to: % 34.33/10.07 | (565) ~ (e2 = e1) % 34.33/10.07 | % 34.33/10.07 | Simplifying 565 yields: % 34.33/10.07 | (144) ~ (e2 = e1) % 34.33/10.07 | % 34.33/10.07 +-Applying beta-rule and splitting (896), into two cases. % 34.33/10.07 |-Branch one: % 34.33/10.07 | (897) all_0_57_57 = e2 % 34.33/10.07 | % 34.33/10.07 | Combining equations (589,897) yields a new equation: % 34.33/10.07 | (585) e2 = e1 % 34.33/10.07 | % 34.33/10.07 | Equations (585) can reduce 144 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (377) ~ (all_0_57_57 = e2) % 34.33/10.07 | (902) all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 34.33/10.07 | % 34.33/10.07 +-Applying beta-rule and splitting (2863), into two cases. % 34.33/10.07 |-Branch one: % 34.33/10.07 | (368) all_0_49_49 = e2 % 34.33/10.07 | % 34.33/10.07 | Equations (368) can reduce 177 to: % 34.33/10.07 | (369) ~ (all_0_41_41 = e2) % 34.33/10.07 | % 34.33/10.07 | Equations (368) can reduce 58 to: % 34.33/10.07 | (544) ~ (all_0_48_48 = e2) % 34.33/10.07 | % 34.33/10.07 | Equations (368) can reduce 215 to: % 34.33/10.07 | (261) ~ (e4 = e2) % 34.33/10.07 | % 34.33/10.07 | Simplifying 261 yields: % 34.33/10.07 | (231) ~ (e4 = e2) % 34.33/10.07 | % 34.33/10.07 +-Applying beta-rule and splitting (180), into two cases. % 34.33/10.07 |-Branch one: % 34.33/10.07 | (945) all_0_41_41 = e2 % 34.33/10.07 | % 34.33/10.07 | Equations (945) can reduce 369 to: % 34.33/10.07 | (303) $false % 34.33/10.07 | % 34.33/10.07 |-The branch is then unsatisfiable % 34.33/10.07 |-Branch two: % 34.33/10.07 | (369) ~ (all_0_41_41 = e2) % 34.33/10.07 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 34.33/10.08 | % 34.33/10.08 +-Applying beta-rule and splitting (67), into two cases. % 34.33/10.08 |-Branch one: % 34.33/10.08 | (380) all_0_48_48 = e0 % 34.33/10.08 | % 34.33/10.08 | Equations (380) can reduce 292 to: % 34.33/10.08 | (303) $false % 34.33/10.08 | % 34.33/10.08 |-The branch is then unsatisfiable % 34.33/10.08 |-Branch two: % 34.33/10.08 | (292) ~ (all_0_48_48 = e0) % 34.33/10.08 | (383) all_0_49_49 = e0 | all_0_51_51 = e0 % 34.33/10.08 | % 34.33/10.08 +-Applying beta-rule and splitting (112), into two cases. % 34.33/10.08 |-Branch one: % 34.33/10.08 | (572) all_0_44_44 = e2 % 34.33/10.08 | % 34.33/10.08 | Equations (572) can reduce 915 to: % 34.33/10.08 | (303) $false % 34.33/10.08 | % 34.33/10.08 |-The branch is then unsatisfiable % 34.33/10.08 |-Branch two: % 34.33/10.08 | (915) ~ (all_0_44_44 = e2) % 34.33/10.08 | (916) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 34.33/10.08 | % 34.33/10.08 +-Applying beta-rule and splitting (150), into two cases. % 34.33/10.08 |-Branch one: % 34.33/10.08 | (398) all_0_41_41 = e0 % 34.33/10.08 | % 34.33/10.08 | Equations (398) can reduce 151 to: % 34.33/10.08 | (288) ~ (all_0_40_40 = e0) % 34.33/10.08 | % 34.33/10.08 | Equations (398) can reduce 43 to: % 34.33/10.08 | (327) ~ (all_0_43_43 = e0) % 34.33/10.08 | % 34.33/10.08 | Simplifying 327 yields: % 34.33/10.08 | (117) ~ (all_0_43_43 = e0) % 34.33/10.08 | % 34.33/10.08 | Equations (398) can reduce 192 to: % 34.33/10.08 | (297) ~ (e4 = e0) % 34.33/10.08 | % 34.33/10.08 | Simplifying 297 yields: % 34.33/10.08 | (4) ~ (e4 = e0) % 34.33/10.08 | % 34.33/10.08 | Equations (398) can reduce 369 to: % 34.33/10.08 | (335) ~ (e2 = e0) % 34.33/10.08 | % 34.33/10.08 | Simplifying 335 yields: % 34.33/10.08 | (51) ~ (e2 = e0) % 34.33/10.08 | % 34.33/10.08 +-Applying beta-rule and splitting (902), into two cases. % 34.33/10.08 |-Branch one: % 34.33/10.08 | (340) all_0_58_58 = e2 % 34.33/10.08 | % 34.33/10.08 | Combining equations (989,340) yields a new equation: % 34.33/10.08 | (385) e2 = e0 % 34.33/10.08 | % 34.33/10.08 | Equations (385) can reduce 51 to: % 34.33/10.08 | (303) $false % 34.33/10.08 | % 34.33/10.08 |-The branch is then unsatisfiable % 34.33/10.08 |-Branch two: % 34.33/10.08 | (278) ~ (all_0_58_58 = e2) % 34.33/10.08 | (908) all_0_59_59 = e2 | all_0_60_60 = e2 % 34.33/10.08 | % 34.33/10.08 +-Applying beta-rule and splitting (908), into two cases. % 34.33/10.08 |-Branch one: % 34.33/10.08 | (909) all_0_59_59 = e2 % 34.33/10.08 | % 34.33/10.08 | Equations (909) can reduce 260 to: % 34.33/10.08 | (303) $false % 34.33/10.08 | % 34.33/10.08 |-The branch is then unsatisfiable % 34.33/10.08 |-Branch two: % 34.33/10.08 | (260) ~ (all_0_59_59 = e2) % 34.33/10.08 | (913) all_0_60_60 = e2 % 34.33/10.08 | % 34.33/10.08 | Equations (913) can reduce 316 to: % 34.33/10.08 | (577) ~ (e3 = e2) % 34.33/10.08 | % 34.33/10.08 | Simplifying 577 yields: % 34.33/10.08 | (223) ~ (e3 = e2) % 34.33/10.08 | % 34.33/10.08 | Equations (913) can reduce 414 to: % 34.33/10.08 | (51) ~ (e2 = e0) % 34.33/10.08 | % 34.33/10.08 | From (913) and (170) follows: % 34.33/10.08 | (3491) op(e0, e0) = e2 % 34.33/10.08 | % 34.33/10.08 +-Applying beta-rule and splitting (383), into two cases. % 34.33/10.08 |-Branch one: % 34.33/10.08 | (384) all_0_49_49 = e0 % 34.33/10.08 | % 34.33/10.08 | Combining equations (384,368) yields a new equation: % 34.33/10.08 | (385) e2 = e0 % 34.33/10.08 | % 34.33/10.08 | Equations (385) can reduce 51 to: % 34.33/10.08 | (303) $false % 34.33/10.08 | % 34.33/10.08 |-The branch is then unsatisfiable % 34.33/10.08 |-Branch two: % 34.33/10.08 | (387) ~ (all_0_49_49 = e0) % 34.33/10.08 | (388) all_0_51_51 = e0 % 34.33/10.08 | % 34.33/10.08 | Equations (388) can reduce 161 to: % 34.33/10.08 | (330) ~ (all_0_44_44 = e0) % 34.33/10.08 | % 34.33/10.08 | Equations (388) can reduce 127 to: % 34.33/10.08 | (292) ~ (all_0_48_48 = e0) % 34.33/10.08 | % 34.33/10.08 | Equations (388) can reduce 171 to: % 34.33/10.08 | (207) ~ (all_0_50_50 = e0) % 34.33/10.08 | % 34.33/10.08 +-Applying beta-rule and splitting (241), into two cases. % 34.33/10.08 |-Branch one: % 34.33/10.08 | (1096) all_0_44_44 = e4 % 34.33/10.08 | % 34.33/10.08 | Equations (1096) can reduce 82 to: % 34.33/10.08 | (712) ~ (all_0_43_43 = e4) % 34.33/10.08 | % 34.33/10.08 | Equations (1096) can reduce 512 to: % 34.33/10.08 | (247) ~ (e4 = e1) % 34.33/10.08 | % 34.33/10.08 | Equations (1096) can reduce 330 to: % 34.33/10.08 | (4) ~ (e4 = e0) % 34.33/10.08 | % 34.33/10.08 | From (1096) and (107) follows: % 34.33/10.08 | (8501) op(e4, e0) = e4 % 34.33/10.08 | % 34.33/10.08 +-Applying beta-rule and splitting (139), into two cases. % 34.33/10.08 |-Branch one: % 34.33/10.08 | (614) all_0_43_43 = e4 % 34.33/10.08 | % 34.33/10.08 | Equations (614) can reduce 712 to: % 34.33/10.08 | (303) $false % 34.33/10.08 | % 34.33/10.08 |-The branch is then unsatisfiable % 34.33/10.08 |-Branch two: % 34.33/10.08 | (712) ~ (all_0_43_43 = e4) % 34.33/10.08 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 34.33/10.08 | % 34.33/10.08 +-Applying beta-rule and splitting (137), into two cases. % 34.33/10.08 |-Branch one: % 34.33/10.08 | (447) all_0_43_43 = e3 % 34.33/10.08 | % 34.33/10.08 | Equations (447) can reduce 238 to: % 34.33/10.08 | (9726) ~ (all_0_50_50 = e3) % 34.33/10.08 | % 34.33/10.08 | Simplifying 9726 yields: % 34.33/10.08 | (15) ~ (all_0_50_50 = e3) % 34.33/10.08 | % 34.33/10.08 | Equations (447) can reduce 249 to: % 34.33/10.08 | (1030) ~ (all_0_59_59 = e3) % 34.33/10.08 | % 34.33/10.08 | Simplifying 1030 yields: % 34.33/10.08 | (1031) ~ (all_0_59_59 = e3) % 34.33/10.08 | % 34.33/10.08 | Equations (447) can reduce 117 to: % 34.33/10.08 | (70) ~ (e3 = e0) % 34.33/10.08 | % 34.33/10.08 | From (447) and (19) follows: % 34.33/10.08 | (3299) op(e4, e1) = e3 % 34.33/10.08 | % 34.33/10.08 +-Applying beta-rule and splitting (100), into two cases. % 34.33/10.08 |-Branch one: % 34.33/10.08 | (618) all_0_43_43 = e1 % 34.33/10.08 | % 34.33/10.08 | Combining equations (447,618) yields a new equation: % 34.33/10.08 | (680) e3 = e1 % 34.33/10.08 | % 34.33/10.08 | Simplifying 680 yields: % 34.33/10.08 | (601) e3 = e1 % 34.33/10.08 | % 34.33/10.08 | Equations (601) can reduce 136 to: % 34.33/10.08 | (303) $false % 34.33/10.08 | % 34.33/10.08 |-The branch is then unsatisfiable % 34.33/10.08 |-Branch two: % 34.33/10.08 | (622) ~ (all_0_43_43 = e1) % 34.33/10.08 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 34.33/10.08 | % 34.33/10.08 +-Applying beta-rule and splitting (56), into two cases. % 34.33/10.08 |-Branch one: % 34.33/10.08 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 34.33/10.08 | % 34.33/10.08 +-Applying beta-rule and splitting (480), into two cases. % 34.33/10.08 |-Branch one: % 34.33/10.08 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 34.33/10.08 | % 34.33/10.08 +-Applying beta-rule and splitting (481), into two cases. % 34.33/10.08 |-Branch one: % 34.33/10.08 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 34.33/10.08 | % 34.33/10.08 +-Applying beta-rule and splitting (482), into two cases. % 34.33/10.08 |-Branch one: % 34.33/10.08 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 34.33/10.08 | % 34.33/10.08 | Applying alpha-rule on (483) yields: % 34.33/10.08 | (484) ~ (unit = e4) % 34.33/10.08 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 34.33/10.08 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 34.33/10.08 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 34.33/10.08 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 34.33/10.08 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 34.33/10.08 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 34.33/10.08 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 34.33/10.08 | (492) ~ (all_0_55_55 = e4) % 34.33/10.08 | (493) all_0_45_45 = e3 % 34.33/10.08 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 34.33/10.08 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 34.33/10.08 | % 34.33/10.08 | Combining equations (287,493) yields a new equation: % 34.33/10.08 | (497) e3 = e0 % 34.33/10.08 | % 34.33/10.08 | Equations (497) can reduce 70 to: % 34.33/10.08 | (303) $false % 34.33/10.08 | % 34.33/10.08 |-The branch is then unsatisfiable % 34.33/10.08 |-Branch two: % 34.33/10.08 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 34.33/10.08 | % 34.33/10.08 | Applying alpha-rule on (499) yields: % 34.33/10.08 | (500) ~ (all_0_51_51 = e1) % 34.33/10.08 | (501) ~ (all_0_60_60 = e1) % 34.33/10.08 | (502) ~ (all_0_52_52 = e1) % 34.33/10.08 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 34.33/10.08 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 34.33/10.08 | (252) all_0_46_46 = e2 % 34.33/10.08 | (506) ~ (all_0_49_49 = e1) % 34.33/10.08 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 34.33/10.08 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 34.33/10.08 | (509) ~ (all_0_53_53 = e1) % 34.33/10.08 | (510) ~ (unit = e1) % 34.33/10.08 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 34.33/10.08 | (512) ~ (all_0_44_44 = e1) % 34.33/10.08 | % 34.33/10.08 +-Applying beta-rule and splitting (503), into two cases. % 34.33/10.08 |-Branch one: % 34.33/10.08 | (592) ~ (all_0_57_57 = e1) % 34.33/10.08 | % 34.33/10.08 | Equations (589) can reduce 592 to: % 34.33/10.08 | (303) $false % 34.33/10.08 | % 34.33/10.08 |-The branch is then unsatisfiable % 34.33/10.08 |-Branch two: % 34.33/10.08 | (589) all_0_57_57 = e1 % 34.33/10.08 | (456) all_0_59_59 = e3 % 34.33/10.08 | % 34.33/10.08 | Equations (456) can reduce 1031 to: % 34.33/10.08 | (303) $false % 34.33/10.08 | % 34.33/10.08 |-The branch is then unsatisfiable % 34.33/10.08 |-Branch two: % 34.33/10.08 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 34.33/10.08 | % 34.33/10.08 | Applying alpha-rule on (514) yields: % 34.33/10.08 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 34.33/10.08 | (516) ~ (all_0_47_47 = e3) % 34.33/10.08 | (314) ~ (all_0_55_55 = e3) % 34.33/10.08 | (368) all_0_49_49 = e2 % 34.33/10.08 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 34.33/10.08 | (520) ~ (unit = e3) % 34.33/10.08 | (521) ~ (all_0_52_52 = e3) % 34.33/10.08 | (455) ~ (all_0_46_46 = e3) % 34.33/10.08 | (432) ~ (all_0_40_40 = e3) % 34.33/10.08 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 34.33/10.08 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 34.33/10.08 | (526) ~ (all_0_56_56 = e3) % 34.33/10.08 | % 34.33/10.08 | Equations (309) can reduce 516 to: % 34.33/10.08 | (303) $false % 34.33/10.08 | % 34.33/10.08 |-The branch is then unsatisfiable % 34.33/10.08 |-Branch two: % 34.33/10.08 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 34.33/10.08 | % 34.33/10.08 | Applying alpha-rule on (528) yields: % 34.33/10.08 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 34.33/10.08 | (530) all_0_55_55 = e1 % 34.33/10.08 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 34.33/10.08 | (387) ~ (all_0_49_49 = e0) % 34.33/10.08 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 34.33/10.08 | (534) ~ (all_0_45_45 = e0) % 34.33/10.08 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 34.33/10.08 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 34.33/10.08 | (537) ~ (unit = e0) % 34.33/10.08 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 34.33/10.08 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 34.33/10.08 | % 34.33/10.08 | Equations (287) can reduce 534 to: % 34.33/10.08 | (303) $false % 34.33/10.08 | % 34.33/10.08 |-The branch is then unsatisfiable % 34.33/10.08 |-Branch two: % 34.33/10.08 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 34.33/10.08 | % 34.33/10.08 | Applying alpha-rule on (543) yields: % 34.33/10.08 | (544) ~ (all_0_48_48 = e2) % 34.33/10.08 | (369) ~ (all_0_41_41 = e2) % 34.33/10.08 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 34.33/10.08 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 34.33/10.08 | (253) ~ (all_0_43_43 = e2) % 34.33/10.08 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 34.33/10.08 | (276) ~ (all_0_55_55 = e2) % 34.33/10.08 | (260) ~ (all_0_59_59 = e2) % 34.33/10.08 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 34.33/10.08 | (274) ~ (all_0_53_53 = e2) % 34.33/10.08 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 34.33/10.08 | (373) ~ (all_0_51_51 = e2) % 34.33/10.08 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 34.33/10.08 | (256) ~ (all_0_47_47 = e2) % 34.33/10.08 | (377) ~ (all_0_57_57 = e2) % 34.33/10.08 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 34.33/10.08 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 34.33/10.08 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 34.33/10.08 | (258) ~ (all_0_50_50 = e2) % 34.33/10.08 | (254) ~ (all_0_45_45 = e2) % 34.33/10.08 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 34.33/10.08 | % 34.33/10.08 | Equations (994) can reduce 274 to: % 34.33/10.08 | (223) ~ (e3 = e2) % 34.33/10.08 | % 34.33/10.08 +-Applying beta-rule and splitting (547), into two cases. % 34.33/10.08 |-Branch one: % 34.33/10.08 | (571) ~ (all_0_60_60 = e2) % 34.33/10.08 | % 34.33/10.08 | Equations (913) can reduce 571 to: % 34.33/10.08 | (303) $false % 34.33/10.08 | % 34.33/10.08 |-The branch is then unsatisfiable % 34.33/10.08 |-Branch two: % 34.33/10.08 | (913) all_0_60_60 = e2 % 34.33/10.08 | (988) all_0_58_58 = e0 & ~ (unit = e2) % 34.33/10.08 | % 34.33/10.08 | Applying alpha-rule on (988) yields: % 34.33/10.08 | (989) all_0_58_58 = e0 % 34.33/10.08 | (599) ~ (unit = e2) % 34.33/10.08 | % 34.33/10.08 +-Applying beta-rule and splitting (623), into two cases. % 34.33/10.08 |-Branch one: % 34.33/10.08 | (627) all_0_50_50 = e1 % 34.33/10.08 | % 34.33/10.08 | Equations (627) can reduce 48 to: % 34.33/10.08 | (802) ~ (all_0_48_48 = e1) % 34.33/10.08 | % 34.33/10.08 | Equations (627) can reduce 126 to: % 34.33/10.08 | (3274) ~ (all_0_59_59 = e1) % 34.33/10.08 | % 34.33/10.08 | Simplifying 3274 yields: % 34.33/10.08 | (603) ~ (all_0_59_59 = e1) % 34.33/10.08 | % 34.33/10.08 | Equations (627) can reduce 15 to: % 34.33/10.08 | (465) ~ (e3 = e1) % 34.33/10.08 | % 34.33/10.08 | Simplifying 465 yields: % 34.33/10.08 | (136) ~ (e3 = e1) % 34.33/10.08 | % 34.33/10.08 | Equations (627) can reduce 207 to: % 34.33/10.08 | (134) ~ (e1 = e0) % 34.33/10.08 | % 34.33/10.08 | From (627) and (186) follows: % 34.33/10.08 | (1166) op(e2, e1) = e1 % 34.33/10.08 | % 34.33/10.08 +-Applying beta-rule and splitting (234), into two cases. % 34.33/10.08 |-Branch one: % 34.33/10.08 | (609) all_0_48_48 = e4 % 34.33/10.08 | % 34.33/10.08 | Equations (609) can reduce 53 to: % 34.33/10.08 | (844) ~ (all_0_40_40 = e4) % 34.33/10.08 | % 34.33/10.08 | Equations (609) can reduce 802 to: % 34.33/10.08 | (247) ~ (e4 = e1) % 34.33/10.08 | % 34.33/10.08 | From (609) and (105) follows: % 34.33/10.08 | (613) op(e2, e4) = e4 % 34.33/10.08 | % 34.33/10.08 +-Applying beta-rule and splitting (227), into two cases. % 34.33/10.08 |-Branch one: % 34.33/10.08 | (909) all_0_59_59 = e2 % 34.33/10.08 | % 34.33/10.08 | Equations (909) can reduce 260 to: % 34.33/10.08 | (303) $false % 34.33/10.08 | % 34.33/10.08 |-The branch is then unsatisfiable % 34.33/10.08 |-Branch two: % 34.33/10.08 | (260) ~ (all_0_59_59 = e2) % 34.33/10.08 | (1037) all_0_59_59 = e4 | all_0_59_59 = e3 | all_0_59_59 = e1 % 34.33/10.08 | % 34.33/10.08 +-Applying beta-rule and splitting (209), into two cases. % 34.33/10.08 |-Branch one: % 34.33/10.08 | (1111) all_0_56_56 = e3 % 34.33/10.08 | % 34.33/10.08 | Equations (1111) can reduce 587 to: % 34.33/10.08 | (136) ~ (e3 = e1) % 34.33/10.08 | % 34.33/10.08 +-Applying beta-rule and splitting (1037), into two cases. % 34.33/10.08 |-Branch one: % 34.33/10.08 | (717) all_0_59_59 = e4 % 34.33/10.08 | % 34.33/10.08 | Equations (717) can reduce 603 to: % 34.33/10.08 | (247) ~ (e4 = e1) % 34.33/10.08 | % 34.33/10.08 | From (717) and (90) follows: % 34.33/10.08 | (3322) op(e0, e1) = e4 % 34.33/10.08 | % 34.33/10.08 +-Applying beta-rule and splitting (175), into two cases. % 34.33/10.08 |-Branch one: % 34.33/10.08 | (624) all_0_40_40 = e1 % 34.33/10.08 | % 34.33/10.08 | Equations (624) can reduce 288 to: % 34.33/10.08 | (134) ~ (e1 = e0) % 34.33/10.08 | % 34.33/10.08 +-Applying beta-rule and splitting (62), into two cases. % 34.33/10.08 |-Branch one: % 34.33/10.08 | (631) unit = e2 % 34.33/10.08 | % 34.33/10.08 | Equations (631) can reduce 599 to: % 34.33/10.08 | (303) $false % 34.33/10.08 | % 34.33/10.08 |-The branch is then unsatisfiable % 34.33/10.08 |-Branch two: % 34.33/10.08 | (599) ~ (unit = e2) % 34.33/10.08 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 34.33/10.08 | % 34.33/10.08 +-Applying beta-rule and splitting (634), into two cases. % 34.33/10.08 |-Branch one: % 34.33/10.08 | (635) unit = e4 % 34.33/10.08 | % 34.33/10.08 | From (635) and (189) follows: % 34.33/10.08 | (8484) op(e4, e0) = e0 % 34.33/10.08 | % 34.33/10.08 | From (635) and (74) follows: % 34.33/10.08 | (637) op(e2, e4) = e2 % 34.33/10.08 | % 34.33/10.08 | From (635) and (190) follows: % 34.33/10.08 | (1178) op(e1, e4) = e1 % 34.33/10.08 | % 34.33/10.08 | Instantiating formula (29) with e4, e0, e0, e4 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 34.33/10.08 | (654) e4 = e0 % 34.33/10.08 | % 34.33/10.08 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 34.33/10.08 | (470) e4 = e2 % 34.33/10.08 | % 34.33/10.08 | Instantiating formula (29) with e1, e4, e1, e2 and discharging atoms op(e1, e4) = e2, op(e1, e4) = e1, yields: % 34.33/10.08 | (585) e2 = e1 % 34.33/10.08 | % 34.33/10.08 | Combining equations (470,654) yields a new equation: % 34.33/10.08 | (403) e2 = e0 % 34.33/10.08 | % 34.33/10.08 | Simplifying 403 yields: % 34.33/10.08 | (385) e2 = e0 % 34.33/10.08 | % 34.33/10.08 | Combining equations (385,585) yields a new equation: % 34.33/10.08 | (590) e1 = e0 % 34.33/10.09 | % 34.33/10.09 | Equations (590) can reduce 134 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (484) ~ (unit = e4) % 34.33/10.09 | (647) unit = e3 | unit = e1 | unit = e0 % 34.33/10.09 | % 34.33/10.09 +-Applying beta-rule and splitting (647), into two cases. % 34.33/10.09 |-Branch one: % 34.33/10.09 | (648) unit = e1 % 34.33/10.09 | % 34.33/10.09 | From (648) and (130) follows: % 34.33/10.09 | (617) op(e4, e1) = e4 % 34.33/10.09 | % 34.33/10.09 | From (648) and (98) follows: % 34.33/10.09 | (1862) op(e3, e1) = e3 % 34.33/10.09 | % 34.33/10.09 | From (648) and (74) follows: % 34.33/10.09 | (769) op(e2, e1) = e2 % 34.33/10.09 | % 34.33/10.09 | From (648) and (111) follows: % 34.33/10.09 | (770) op(e0, e1) = e0 % 34.33/10.09 | % 34.33/10.09 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 34.33/10.09 | (443) e4 = e3 % 34.33/10.09 | % 34.33/10.09 | Instantiating formula (29) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields: % 34.33/10.09 | (453) e3 = e2 % 34.33/10.09 | % 34.33/10.09 | Instantiating formula (29) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 34.33/10.09 | (585) e2 = e1 % 34.33/10.09 | % 34.33/10.09 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 34.33/10.09 | (654) e4 = e0 % 34.33/10.09 | % 34.33/10.09 | Combining equations (443,654) yields a new equation: % 34.33/10.09 | (496) e3 = e0 % 34.33/10.09 | % 34.33/10.09 | Simplifying 496 yields: % 34.33/10.09 | (497) e3 = e0 % 34.33/10.09 | % 34.33/10.09 | Combining equations (497,453) yields a new equation: % 34.33/10.09 | (385) e2 = e0 % 34.33/10.09 | % 34.33/10.09 | Combining equations (585,385) yields a new equation: % 34.33/10.09 | (670) e1 = e0 % 34.33/10.09 | % 34.33/10.09 | Simplifying 670 yields: % 34.33/10.09 | (590) e1 = e0 % 34.33/10.09 | % 34.33/10.09 | Equations (590) can reduce 134 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (510) ~ (unit = e1) % 34.33/10.09 | (659) unit = e3 | unit = e0 % 34.33/10.09 | % 34.33/10.09 +-Applying beta-rule and splitting (659), into two cases. % 34.33/10.09 |-Branch one: % 34.33/10.09 | (660) unit = e0 % 34.33/10.09 | % 34.33/10.09 | Equations (660) can reduce 599 to: % 34.33/10.09 | (335) ~ (e2 = e0) % 34.33/10.09 | % 34.33/10.09 | Simplifying 335 yields: % 34.33/10.09 | (51) ~ (e2 = e0) % 34.33/10.09 | % 34.33/10.09 | From (660) and (111) follows: % 34.33/10.09 | (3633) op(e0, e0) = e0 % 34.33/10.09 | % 34.33/10.09 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 34.33/10.09 | (385) e2 = e0 % 34.33/10.09 | % 34.33/10.09 | Equations (385) can reduce 51 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (537) ~ (unit = e0) % 34.33/10.09 | (674) unit = e3 % 34.33/10.09 | % 34.33/10.09 | From (674) and (17) follows: % 34.33/10.09 | (1207) op(e3, e4) = e4 % 34.33/10.09 | % 34.33/10.09 | From (674) and (98) follows: % 34.33/10.09 | (1208) op(e3, e3) = e3 % 34.33/10.09 | % 34.33/10.09 | From (674) and (190) follows: % 34.33/10.09 | (468) op(e1, e3) = e1 % 34.33/10.09 | % 34.33/10.09 | Instantiating formula (29) with e3, e4, e4, e0 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e0, yields: % 34.33/10.09 | (654) e4 = e0 % 34.33/10.09 | % 34.33/10.09 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 34.33/10.09 | (443) e4 = e3 % 34.33/10.09 | % 34.33/10.09 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 34.33/10.09 | (601) e3 = e1 % 34.33/10.09 | % 34.33/10.09 | Combining equations (654,443) yields a new equation: % 34.33/10.09 | (497) e3 = e0 % 34.33/10.09 | % 34.33/10.09 | Combining equations (601,497) yields a new equation: % 34.33/10.09 | (670) e1 = e0 % 34.33/10.09 | % 34.33/10.09 | Simplifying 670 yields: % 34.33/10.09 | (590) e1 = e0 % 34.33/10.09 | % 34.33/10.09 | Equations (590) can reduce 134 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (683) ~ (all_0_40_40 = e1) % 34.33/10.09 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 34.33/10.09 | % 34.33/10.09 +-Applying beta-rule and splitting (44), into two cases. % 34.33/10.09 |-Branch one: % 34.33/10.09 | (624) all_0_40_40 = e1 % 34.33/10.09 | % 34.33/10.09 | Equations (624) can reduce 683 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (683) ~ (all_0_40_40 = e1) % 34.33/10.09 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 34.33/10.09 | % 34.33/10.09 +-Applying beta-rule and splitting (688), into two cases. % 34.33/10.09 |-Branch one: % 34.33/10.09 | (696) all_0_41_41 = e1 % 34.33/10.09 | % 34.33/10.09 | Combining equations (696,398) yields a new equation: % 34.33/10.09 | (670) e1 = e0 % 34.33/10.09 | % 34.33/10.09 | Simplifying 670 yields: % 34.33/10.09 | (590) e1 = e0 % 34.33/10.09 | % 34.33/10.09 | Equations (590) can reduce 134 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (699) ~ (all_0_41_41 = e1) % 34.33/10.09 | (700) all_0_43_43 = e1 | all_0_44_44 = e1 % 34.33/10.09 | % 34.33/10.09 +-Applying beta-rule and splitting (684), into two cases. % 34.33/10.09 |-Branch one: % 34.33/10.09 | (748) all_0_48_48 = e1 % 34.33/10.09 | % 34.33/10.09 | Combining equations (748,609) yields a new equation: % 34.33/10.09 | (541) e4 = e1 % 34.33/10.09 | % 34.33/10.09 | Equations (541) can reduce 247 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (802) ~ (all_0_48_48 = e1) % 34.33/10.09 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 34.33/10.09 | % 34.33/10.09 | Equations (609) can reduce 802 to: % 34.33/10.09 | (247) ~ (e4 = e1) % 34.33/10.09 | % 34.33/10.09 +-Applying beta-rule and splitting (700), into two cases. % 34.33/10.09 |-Branch one: % 34.33/10.09 | (618) all_0_43_43 = e1 % 34.33/10.09 | % 34.33/10.09 | Combining equations (447,618) yields a new equation: % 34.33/10.09 | (680) e3 = e1 % 34.33/10.09 | % 34.33/10.09 | Simplifying 680 yields: % 34.33/10.09 | (601) e3 = e1 % 34.33/10.09 | % 34.33/10.09 | Equations (601) can reduce 136 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (622) ~ (all_0_43_43 = e1) % 34.33/10.09 | (705) all_0_44_44 = e1 % 34.33/10.09 | % 34.33/10.09 | Combining equations (705,1096) yields a new equation: % 34.33/10.09 | (541) e4 = e1 % 34.33/10.09 | % 34.33/10.09 | Equations (541) can reduce 247 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (348) ~ (all_0_59_59 = e4) % 34.33/10.09 | (1047) all_0_59_59 = e3 | all_0_59_59 = e1 % 34.33/10.09 | % 34.33/10.09 +-Applying beta-rule and splitting (175), into two cases. % 34.33/10.09 |-Branch one: % 34.33/10.09 | (624) all_0_40_40 = e1 % 34.33/10.09 | % 34.33/10.09 | Equations (624) can reduce 844 to: % 34.33/10.09 | (605) ~ (e4 = e1) % 34.33/10.09 | % 34.33/10.09 | Simplifying 605 yields: % 34.33/10.09 | (247) ~ (e4 = e1) % 34.33/10.09 | % 34.33/10.09 +-Applying beta-rule and splitting (713), into two cases. % 34.33/10.09 |-Branch one: % 34.33/10.09 | (714) all_0_50_50 = e4 % 34.33/10.09 | % 34.33/10.09 | Combining equations (627,714) yields a new equation: % 34.33/10.09 | (541) e4 = e1 % 34.33/10.09 | % 34.33/10.09 | Equations (541) can reduce 247 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (611) ~ (all_0_50_50 = e4) % 34.33/10.09 | (717) all_0_59_59 = e4 % 34.33/10.09 | % 34.33/10.09 | Equations (717) can reduce 348 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (683) ~ (all_0_40_40 = e1) % 34.33/10.09 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 34.33/10.09 | % 34.33/10.09 +-Applying beta-rule and splitting (44), into two cases. % 34.33/10.09 |-Branch one: % 34.33/10.09 | (624) all_0_40_40 = e1 % 34.33/10.09 | % 34.33/10.09 | Equations (624) can reduce 683 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (683) ~ (all_0_40_40 = e1) % 34.33/10.09 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 34.33/10.09 | % 34.33/10.09 +-Applying beta-rule and splitting (684), into two cases. % 34.33/10.09 |-Branch one: % 34.33/10.09 | (748) all_0_48_48 = e1 % 34.33/10.09 | % 34.33/10.09 | Combining equations (748,609) yields a new equation: % 34.33/10.09 | (541) e4 = e1 % 34.33/10.09 | % 34.33/10.09 | Equations (541) can reduce 247 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (802) ~ (all_0_48_48 = e1) % 34.33/10.09 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 34.33/10.09 | % 34.33/10.09 | Equations (609) can reduce 802 to: % 34.33/10.09 | (247) ~ (e4 = e1) % 34.33/10.09 | % 34.33/10.09 +-Applying beta-rule and splitting (688), into two cases. % 34.33/10.09 |-Branch one: % 34.33/10.09 | (696) all_0_41_41 = e1 % 34.33/10.09 | % 34.33/10.09 | Combining equations (696,398) yields a new equation: % 34.33/10.09 | (670) e1 = e0 % 34.33/10.09 | % 34.33/10.09 | Simplifying 670 yields: % 34.33/10.09 | (590) e1 = e0 % 34.33/10.09 | % 34.33/10.09 | Equations (590) can reduce 134 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (699) ~ (all_0_41_41 = e1) % 34.33/10.09 | (700) all_0_43_43 = e1 | all_0_44_44 = e1 % 34.33/10.09 | % 34.33/10.09 +-Applying beta-rule and splitting (700), into two cases. % 34.33/10.09 |-Branch one: % 34.33/10.09 | (618) all_0_43_43 = e1 % 34.33/10.09 | % 34.33/10.09 | Combining equations (447,618) yields a new equation: % 34.33/10.09 | (680) e3 = e1 % 34.33/10.09 | % 34.33/10.09 | Simplifying 680 yields: % 34.33/10.09 | (601) e3 = e1 % 34.33/10.09 | % 34.33/10.09 | Equations (601) can reduce 136 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (622) ~ (all_0_43_43 = e1) % 34.33/10.09 | (705) all_0_44_44 = e1 % 34.33/10.09 | % 34.33/10.09 | Combining equations (705,1096) yields a new equation: % 34.33/10.09 | (541) e4 = e1 % 34.33/10.09 | % 34.33/10.09 | Equations (541) can reduce 247 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (526) ~ (all_0_56_56 = e3) % 34.33/10.09 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 34.33/10.09 | % 34.33/10.09 +-Applying beta-rule and splitting (713), into two cases. % 34.33/10.09 |-Branch one: % 34.33/10.09 | (714) all_0_50_50 = e4 % 34.33/10.09 | % 34.33/10.09 | Combining equations (627,714) yields a new equation: % 34.33/10.09 | (541) e4 = e1 % 34.33/10.09 | % 34.33/10.09 | Equations (541) can reduce 247 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (611) ~ (all_0_50_50 = e4) % 34.33/10.09 | (717) all_0_59_59 = e4 % 34.33/10.09 | % 34.33/10.09 | Equations (717) can reduce 1031 to: % 34.33/10.09 | (30) ~ (e4 = e3) % 34.33/10.09 | % 34.33/10.09 +-Applying beta-rule and splitting (1491), into two cases. % 34.33/10.09 |-Branch one: % 34.33/10.09 | (1001) all_0_57_57 = e3 % 34.33/10.09 | % 34.33/10.09 | Combining equations (1001,589) yields a new equation: % 34.33/10.09 | (680) e3 = e1 % 34.33/10.09 | % 34.33/10.09 | Simplifying 680 yields: % 34.33/10.09 | (601) e3 = e1 % 34.33/10.09 | % 34.33/10.09 | Equations (601) can reduce 136 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (2590) ~ (all_0_57_57 = e3) % 34.33/10.09 | (2977) all_0_59_59 = e3 | all_0_60_60 = e3 % 34.33/10.09 | % 34.33/10.09 +-Applying beta-rule and splitting (2977), into two cases. % 34.33/10.09 |-Branch one: % 34.33/10.09 | (456) all_0_59_59 = e3 % 34.33/10.09 | % 34.33/10.09 | Combining equations (717,456) yields a new equation: % 34.33/10.09 | (718) e4 = e3 % 34.33/10.09 | % 34.33/10.09 | Simplifying 718 yields: % 34.33/10.09 | (443) e4 = e3 % 34.33/10.09 | % 34.33/10.09 | Equations (443) can reduce 30 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (1031) ~ (all_0_59_59 = e3) % 34.33/10.09 | (1937) all_0_60_60 = e3 % 34.33/10.09 | % 34.33/10.09 | Combining equations (1937,913) yields a new equation: % 34.33/10.09 | (452) e3 = e2 % 34.33/10.09 | % 34.33/10.09 | Simplifying 452 yields: % 34.33/10.09 | (453) e3 = e2 % 34.33/10.09 | % 34.33/10.09 | Equations (453) can reduce 223 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (721) ~ (all_0_48_48 = e4) % 34.33/10.09 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 34.33/10.09 | % 34.33/10.09 +-Applying beta-rule and splitting (722), into two cases. % 34.33/10.09 |-Branch one: % 34.33/10.09 | (714) all_0_50_50 = e4 % 34.33/10.09 | % 34.33/10.09 | Combining equations (627,714) yields a new equation: % 34.33/10.09 | (541) e4 = e1 % 34.33/10.09 | % 34.33/10.09 | Equations (541) can reduce 247 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (611) ~ (all_0_50_50 = e4) % 34.33/10.09 | (1501) all_0_51_51 = e4 % 34.33/10.09 | % 34.33/10.09 | Combining equations (388,1501) yields a new equation: % 34.33/10.09 | (654) e4 = e0 % 34.33/10.09 | % 34.33/10.09 | Equations (654) can reduce 4 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (678) ~ (all_0_50_50 = e1) % 34.33/10.09 | (600) all_0_59_59 = e1 % 34.33/10.09 | % 34.33/10.09 | Equations (600) can reduce 603 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (434) ~ (all_0_43_43 = e3) % 34.33/10.09 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 34.33/10.09 | % 34.33/10.09 +-Applying beta-rule and splitting (450), into two cases. % 34.33/10.09 |-Branch one: % 34.33/10.09 | (451) all_0_46_46 = e3 % 34.33/10.09 | % 34.33/10.09 | Combining equations (252,451) yields a new equation: % 34.33/10.09 | (453) e3 = e2 % 34.33/10.09 | % 34.33/10.09 | Equations (453) can reduce 223 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (455) ~ (all_0_46_46 = e3) % 34.33/10.09 | (456) all_0_59_59 = e3 % 34.33/10.09 | % 34.33/10.09 | Equations (456) can reduce 249 to: % 34.33/10.09 | (434) ~ (all_0_43_43 = e3) % 34.33/10.09 | % 34.33/10.09 | From (456) and (90) follows: % 34.33/10.09 | (461) op(e0, e1) = e3 % 34.33/10.09 | % 34.33/10.09 +-Applying beta-rule and splitting (191), into two cases. % 34.33/10.09 |-Branch one: % 34.33/10.09 | (965) all_0_43_43 = e2 % 34.33/10.09 | % 34.33/10.09 | Equations (965) can reduce 253 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (253) ~ (all_0_43_43 = e2) % 34.33/10.09 | (1634) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e1 % 34.33/10.09 | % 34.33/10.09 +-Applying beta-rule and splitting (1634), into two cases. % 34.33/10.09 |-Branch one: % 34.33/10.09 | (614) all_0_43_43 = e4 % 34.33/10.09 | % 34.33/10.09 | Equations (614) can reduce 712 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (712) ~ (all_0_43_43 = e4) % 34.33/10.09 | (2084) all_0_43_43 = e3 | all_0_43_43 = e1 % 34.33/10.09 | % 34.33/10.09 +-Applying beta-rule and splitting (2084), into two cases. % 34.33/10.09 |-Branch one: % 34.33/10.09 | (618) all_0_43_43 = e1 % 34.33/10.09 | % 34.33/10.09 | Equations (618) can reduce 8 to: % 34.33/10.09 | (683) ~ (all_0_40_40 = e1) % 34.33/10.09 | % 34.33/10.09 | Equations (618) can reduce 238 to: % 34.33/10.09 | (855) ~ (all_0_50_50 = e1) % 34.33/10.09 | % 34.33/10.09 | Simplifying 855 yields: % 34.33/10.09 | (678) ~ (all_0_50_50 = e1) % 34.33/10.09 | % 34.33/10.09 | From (618) and (19) follows: % 34.33/10.09 | (636) op(e4, e1) = e1 % 34.33/10.09 | % 34.33/10.09 +-Applying beta-rule and splitting (228), into two cases. % 34.33/10.09 |-Branch one: % 34.33/10.09 | (748) all_0_48_48 = e1 % 34.33/10.09 | % 34.33/10.09 | Equations (748) can reduce 544 to: % 34.33/10.09 | (565) ~ (e2 = e1) % 34.33/10.09 | % 34.33/10.09 | Simplifying 565 yields: % 34.33/10.09 | (144) ~ (e2 = e1) % 34.33/10.09 | % 34.33/10.09 | Equations (748) can reduce 292 to: % 34.33/10.09 | (134) ~ (e1 = e0) % 34.33/10.09 | % 34.33/10.09 +-Applying beta-rule and splitting (62), into two cases. % 34.33/10.09 |-Branch one: % 34.33/10.09 | (631) unit = e2 % 34.33/10.09 | % 34.33/10.09 | From (631) and (98) follows: % 34.33/10.09 | (5015) op(e3, e2) = e3 % 34.33/10.09 | % 34.33/10.09 | From (631) and (74) follows: % 34.33/10.09 | (2715) op(e2, e2) = e2 % 34.33/10.09 | % 34.33/10.09 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 34.33/10.09 | (601) e3 = e1 % 34.33/10.09 | % 34.33/10.09 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 34.33/10.09 | (453) e3 = e2 % 34.33/10.09 | % 34.33/10.09 | Combining equations (601,453) yields a new equation: % 34.33/10.09 | (585) e2 = e1 % 34.33/10.09 | % 34.33/10.09 | Equations (585) can reduce 144 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (599) ~ (unit = e2) % 34.33/10.09 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 34.33/10.09 | % 34.33/10.09 +-Applying beta-rule and splitting (634), into two cases. % 34.33/10.09 |-Branch one: % 34.33/10.09 | (635) unit = e4 % 34.33/10.09 | % 34.33/10.09 | From (635) and (190) follows: % 34.33/10.09 | (1178) op(e1, e4) = e1 % 34.33/10.09 | % 34.33/10.09 | Instantiating formula (29) with e1, e4, e1, e2 and discharging atoms op(e1, e4) = e2, op(e1, e4) = e1, yields: % 34.33/10.09 | (585) e2 = e1 % 34.33/10.09 | % 34.33/10.09 | Equations (585) can reduce 144 to: % 34.33/10.09 | (303) $false % 34.33/10.09 | % 34.33/10.09 |-The branch is then unsatisfiable % 34.33/10.09 |-Branch two: % 34.33/10.09 | (484) ~ (unit = e4) % 34.33/10.09 | (647) unit = e3 | unit = e1 | unit = e0 % 34.33/10.09 | % 34.33/10.09 +-Applying beta-rule and splitting (647), into two cases. % 34.33/10.09 |-Branch one: % 34.33/10.09 | (648) unit = e1 % 34.33/10.09 | % 34.33/10.09 | From (648) and (147) follows: % 34.33/10.09 | (282) op(e1, e2) = e2 % 34.33/10.09 | % 34.33/10.09 | From (648) and (130) follows: % 34.33/10.09 | (617) op(e4, e1) = e4 % 34.33/10.09 | % 34.33/10.09 | From (648) and (98) follows: % 34.33/10.09 | (1862) op(e3, e1) = e3 % 34.33/10.09 | % 34.33/10.09 | From (648) and (111) follows: % 34.33/10.09 | (770) op(e0, e1) = e0 % 34.33/10.09 | % 34.33/10.09 | Instantiating formula (29) with e4, e1, e4, e1 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e1, yields: % 34.33/10.09 | (541) e4 = e1 % 34.33/10.09 | % 34.33/10.09 | Instantiating formula (29) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields: % 34.33/10.09 | (453) e3 = e2 % 34.33/10.09 | % 34.33/10.09 | Instantiating formula (29) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields: % 34.33/10.09 | (470) e4 = e2 % 34.33/10.09 | % 34.33/10.09 | Instantiating formula (29) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields: % 34.33/10.09 | (497) e3 = e0 % 34.33/10.09 | % 34.33/10.09 | Combining equations (470,541) yields a new equation: % 34.33/10.09 | (584) e2 = e1 % 34.33/10.09 | % 34.33/10.10 | Simplifying 584 yields: % 34.33/10.10 | (585) e2 = e1 % 34.33/10.10 | % 34.33/10.10 | Combining equations (497,453) yields a new equation: % 34.33/10.10 | (385) e2 = e0 % 34.33/10.10 | % 34.33/10.10 | Combining equations (385,585) yields a new equation: % 34.33/10.10 | (590) e1 = e0 % 34.33/10.10 | % 34.33/10.10 | Equations (590) can reduce 134 to: % 34.33/10.10 | (303) $false % 34.33/10.10 | % 34.33/10.10 |-The branch is then unsatisfiable % 34.33/10.10 |-Branch two: % 34.33/10.10 | (510) ~ (unit = e1) % 34.33/10.10 | (659) unit = e3 | unit = e0 % 34.33/10.10 | % 34.33/10.10 +-Applying beta-rule and splitting (659), into two cases. % 34.33/10.10 |-Branch one: % 34.33/10.10 | (660) unit = e0 % 34.33/10.10 | % 34.33/10.10 | Equations (660) can reduce 599 to: % 34.33/10.10 | (335) ~ (e2 = e0) % 34.33/10.10 | % 34.33/10.10 | Simplifying 335 yields: % 34.33/10.10 | (51) ~ (e2 = e0) % 34.33/10.10 | % 34.33/10.10 | From (660) and (111) follows: % 34.33/10.10 | (3633) op(e0, e0) = e0 % 34.33/10.10 | % 34.33/10.10 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 34.33/10.10 | (385) e2 = e0 % 34.33/10.10 | % 34.33/10.10 | Equations (385) can reduce 51 to: % 34.33/10.10 | (303) $false % 34.33/10.10 | % 34.33/10.10 |-The branch is then unsatisfiable % 34.33/10.10 |-Branch two: % 34.33/10.10 | (537) ~ (unit = e0) % 34.33/10.10 | (674) unit = e3 % 34.33/10.10 | % 34.33/10.10 | From (674) and (17) follows: % 34.33/10.10 | (1207) op(e3, e4) = e4 % 34.33/10.10 | % 34.33/10.10 | From (674) and (98) follows: % 34.33/10.10 | (1208) op(e3, e3) = e3 % 34.33/10.10 | % 34.33/10.10 | From (674) and (190) follows: % 34.33/10.10 | (468) op(e1, e3) = e1 % 34.33/10.10 | % 34.33/10.10 | Instantiating formula (29) with e3, e4, e4, e0 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e0, yields: % 34.33/10.10 | (654) e4 = e0 % 34.33/10.10 | % 34.33/10.10 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 34.33/10.10 | (443) e4 = e3 % 34.33/10.10 | % 34.33/10.10 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 34.33/10.10 | (601) e3 = e1 % 34.33/10.10 | % 34.33/10.10 | Combining equations (654,443) yields a new equation: % 34.33/10.10 | (497) e3 = e0 % 34.33/10.10 | % 34.33/10.10 | Combining equations (601,497) yields a new equation: % 34.33/10.10 | (670) e1 = e0 % 34.33/10.10 | % 34.33/10.10 | Simplifying 670 yields: % 34.33/10.10 | (590) e1 = e0 % 34.33/10.10 | % 34.33/10.10 | Equations (590) can reduce 134 to: % 34.33/10.10 | (303) $false % 34.33/10.10 | % 34.33/10.10 |-The branch is then unsatisfiable % 34.33/10.10 |-Branch two: % 34.33/10.10 | (802) ~ (all_0_48_48 = e1) % 34.33/10.10 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 34.33/10.10 | % 34.33/10.10 +-Applying beta-rule and splitting (212), into two cases. % 34.33/10.10 |-Branch one: % 34.33/10.10 | (727) all_0_48_48 = e2 % 34.33/10.10 | % 34.33/10.10 | Equations (727) can reduce 544 to: % 34.33/10.10 | (303) $false % 34.33/10.10 | % 34.33/10.10 |-The branch is then unsatisfiable % 34.33/10.10 |-Branch two: % 34.33/10.10 | (544) ~ (all_0_48_48 = e2) % 34.33/10.10 | (730) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 34.33/10.10 | % 34.33/10.10 +-Applying beta-rule and splitting (175), into two cases. % 34.33/10.10 |-Branch one: % 34.33/10.10 | (624) all_0_40_40 = e1 % 34.33/10.10 | % 34.33/10.10 | Equations (624) can reduce 683 to: % 34.33/10.10 | (303) $false % 34.33/10.10 | % 34.33/10.10 |-The branch is then unsatisfiable % 34.33/10.10 |-Branch two: % 34.33/10.10 | (683) ~ (all_0_40_40 = e1) % 34.33/10.10 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 34.33/10.10 | % 34.33/10.10 +-Applying beta-rule and splitting (367), into two cases. % 34.33/10.10 |-Branch one: % 34.33/10.10 | (714) all_0_50_50 = e4 % 34.33/10.10 | % 34.33/10.10 | Equations (714) can reduce 48 to: % 34.33/10.10 | (721) ~ (all_0_48_48 = e4) % 34.33/10.10 | % 34.33/10.10 +-Applying beta-rule and splitting (730), into two cases. % 34.33/10.10 |-Branch one: % 34.33/10.10 | (609) all_0_48_48 = e4 % 34.33/10.10 | % 34.33/10.10 | Equations (609) can reduce 721 to: % 34.33/10.10 | (303) $false % 34.33/10.10 | % 34.33/10.10 |-The branch is then unsatisfiable % 34.33/10.10 |-Branch two: % 34.33/10.10 | (721) ~ (all_0_48_48 = e4) % 34.33/10.10 | (811) all_0_48_48 = e1 | all_0_48_48 = e0 % 34.33/10.10 | % 34.33/10.10 +-Applying beta-rule and splitting (684), into two cases. % 34.33/10.10 |-Branch one: % 34.33/10.10 | (748) all_0_48_48 = e1 % 34.33/10.10 | % 34.33/10.10 | Equations (748) can reduce 802 to: % 34.33/10.10 | (303) $false % 34.33/10.10 | % 34.33/10.10 |-The branch is then unsatisfiable % 34.33/10.10 |-Branch two: % 34.33/10.10 | (802) ~ (all_0_48_48 = e1) % 34.33/10.10 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 34.33/10.10 | % 34.33/10.10 +-Applying beta-rule and splitting (811), into two cases. % 34.33/10.10 |-Branch one: % 34.33/10.10 | (748) all_0_48_48 = e1 % 34.33/10.10 | % 34.33/10.10 | Equations (748) can reduce 802 to: % 34.33/10.10 | (303) $false % 34.33/10.10 | % 34.33/10.10 |-The branch is then unsatisfiable % 34.33/10.10 |-Branch two: % 34.33/10.10 | (802) ~ (all_0_48_48 = e1) % 34.33/10.10 | (380) all_0_48_48 = e0 % 34.33/10.10 | % 34.33/10.10 | Equations (380) can reduce 292 to: % 34.33/10.10 | (303) $false % 34.33/10.10 | % 34.33/10.10 |-The branch is then unsatisfiable % 34.33/10.10 |-Branch two: % 34.33/10.10 | (611) ~ (all_0_50_50 = e4) % 34.33/10.10 | (627) all_0_50_50 = e1 % 34.33/10.10 | % 34.33/10.10 | Equations (627) can reduce 678 to: % 34.33/10.10 | (303) $false % 34.33/10.10 | % 34.33/10.10 |-The branch is then unsatisfiable % 34.33/10.10 |-Branch two: % 34.33/10.10 | (622) ~ (all_0_43_43 = e1) % 34.33/10.10 | (447) all_0_43_43 = e3 % 34.33/10.10 | % 34.33/10.10 | Equations (447) can reduce 434 to: % 34.33/10.10 | (303) $false % 34.33/10.10 | % 34.33/10.10 |-The branch is then unsatisfiable % 34.33/10.10 |-Branch two: % 34.33/10.10 | (474) ~ (all_0_44_44 = e4) % 34.33/10.10 | (1500) all_0_51_51 = e4 | all_0_55_55 = e4 | all_0_60_60 = e4 % 34.33/10.10 | % 34.33/10.10 +-Applying beta-rule and splitting (1500), into two cases. % 34.33/10.10 |-Branch one: % 34.33/10.10 | (1501) all_0_51_51 = e4 % 34.33/10.10 | % 34.33/10.10 | Combining equations (388,1501) yields a new equation: % 34.33/10.10 | (654) e4 = e0 % 34.33/10.10 | % 34.33/10.10 | Equations (654) can reduce 4 to: % 34.33/10.10 | (303) $false % 34.33/10.10 | % 34.33/10.10 |-The branch is then unsatisfiable % 34.33/10.10 |-Branch two: % 34.33/10.10 | (1504) ~ (all_0_51_51 = e4) % 34.33/10.10 | (1505) all_0_55_55 = e4 | all_0_60_60 = e4 % 34.33/10.10 | % 34.33/10.10 +-Applying beta-rule and splitting (1505), into two cases. % 34.33/10.10 |-Branch one: % 34.33/10.10 | (473) all_0_55_55 = e4 % 34.33/10.10 | % 34.41/10.10 | Combining equations (530,473) yields a new equation: % 34.41/10.10 | (541) e4 = e1 % 34.41/10.10 | % 34.41/10.10 | Equations (541) can reduce 247 to: % 34.41/10.10 | (303) $false % 34.41/10.10 | % 34.41/10.10 |-The branch is then unsatisfiable % 34.41/10.10 |-Branch two: % 34.41/10.10 | (492) ~ (all_0_55_55 = e4) % 34.41/10.10 | (1510) all_0_60_60 = e4 % 34.41/10.10 | % 34.41/10.10 | Combining equations (913,1510) yields a new equation: % 34.41/10.10 | (470) e4 = e2 % 34.41/10.10 | % 34.41/10.10 | Equations (470) can reduce 231 to: % 34.41/10.10 | (303) $false % 34.41/10.10 | % 34.41/10.10 |-The branch is then unsatisfiable % 34.41/10.10 |-Branch two: % 34.41/10.10 | (326) ~ (all_0_41_41 = e0) % 34.41/10.10 | (401) all_0_49_49 = e0 | all_0_57_57 = e0 % 34.41/10.10 | % 34.41/10.10 +-Applying beta-rule and splitting (63), into two cases. % 34.41/10.10 |-Branch one: % 34.41/10.10 | (2834) all_0_40_40 = e0 % 34.41/10.10 | % 34.41/10.10 | Equations (2834) can reduce 288 to: % 34.41/10.10 | (303) $false % 34.41/10.10 | % 34.41/10.10 |-The branch is then unsatisfiable % 34.41/10.10 |-Branch two: % 34.41/10.10 | (288) ~ (all_0_40_40 = e0) % 34.41/10.10 | (5766) all_0_41_41 = e0 | all_0_42_42 = e0 | all_0_44_44 = e0 % 34.41/10.10 | % 34.41/10.10 +-Applying beta-rule and splitting (5766), into two cases. % 34.41/10.10 |-Branch one: % 34.41/10.10 | (398) all_0_41_41 = e0 % 34.41/10.10 | % 34.41/10.10 | Equations (398) can reduce 326 to: % 34.41/10.10 | (303) $false % 34.41/10.10 | % 34.41/10.10 |-The branch is then unsatisfiable % 34.41/10.10 |-Branch two: % 34.41/10.10 | (326) ~ (all_0_41_41 = e0) % 34.41/10.10 | (5772) all_0_42_42 = e0 | all_0_44_44 = e0 % 34.41/10.10 | % 34.41/10.10 +-Applying beta-rule and splitting (5772), into two cases. % 34.41/10.10 |-Branch one: % 34.41/10.10 | (324) all_0_42_42 = e0 % 34.41/10.10 | % 34.41/10.10 | Combining equations (324,959) yields a new equation: % 34.41/10.10 | (385) e2 = e0 % 34.41/10.10 | % 34.41/10.10 | Equations (385) can reduce 51 to: % 34.41/10.10 | (303) $false % 34.41/10.10 | % 34.41/10.10 |-The branch is then unsatisfiable % 34.41/10.10 |-Branch two: % 34.41/10.10 | (3164) ~ (all_0_42_42 = e0) % 34.41/10.10 | (2078) all_0_44_44 = e0 % 34.41/10.10 | % 34.41/10.10 | Equations (2078) can reduce 161 to: % 34.41/10.10 | (5945) ~ (all_0_51_51 = e0) % 34.41/10.10 | % 34.41/10.10 | Simplifying 5945 yields: % 34.41/10.10 | (2347) ~ (all_0_51_51 = e0) % 34.41/10.10 | % 34.41/10.10 | Equations (2078) can reduce 165 to: % 34.41/10.10 | (413) ~ (all_0_60_60 = e0) % 34.41/10.10 | % 34.41/10.10 | Simplifying 413 yields: % 34.41/10.10 | (414) ~ (all_0_60_60 = e0) % 34.41/10.10 | % 34.41/10.10 | Equations (2078) can reduce 915 to: % 34.41/10.10 | (335) ~ (e2 = e0) % 34.41/10.10 | % 34.41/10.10 | Simplifying 335 yields: % 34.41/10.10 | (51) ~ (e2 = e0) % 34.41/10.10 | % 34.41/10.10 +-Applying beta-rule and splitting (902), into two cases. % 34.41/10.10 |-Branch one: % 34.41/10.10 | (340) all_0_58_58 = e2 % 34.41/10.10 | % 34.41/10.10 | Combining equations (989,340) yields a new equation: % 34.41/10.10 | (385) e2 = e0 % 34.41/10.10 | % 34.41/10.10 | Equations (385) can reduce 51 to: % 34.41/10.10 | (303) $false % 34.41/10.10 | % 34.41/10.10 |-The branch is then unsatisfiable % 34.41/10.10 |-Branch two: % 34.41/10.10 | (278) ~ (all_0_58_58 = e2) % 34.41/10.10 | (908) all_0_59_59 = e2 | all_0_60_60 = e2 % 34.41/10.10 | % 34.41/10.10 +-Applying beta-rule and splitting (908), into two cases. % 34.41/10.10 |-Branch one: % 34.41/10.10 | (909) all_0_59_59 = e2 % 34.41/10.10 | % 34.41/10.10 | Equations (909) can reduce 260 to: % 34.41/10.10 | (303) $false % 34.41/10.10 | % 34.41/10.10 |-The branch is then unsatisfiable % 34.41/10.10 |-Branch two: % 34.41/10.10 | (260) ~ (all_0_59_59 = e2) % 34.41/10.10 | (913) all_0_60_60 = e2 % 34.41/10.10 | % 34.41/10.10 | Equations (913) can reduce 414 to: % 34.41/10.10 | (51) ~ (e2 = e0) % 34.41/10.10 | % 34.41/10.10 +-Applying beta-rule and splitting (383), into two cases. % 34.41/10.10 |-Branch one: % 34.41/10.10 | (384) all_0_49_49 = e0 % 34.41/10.10 | % 34.41/10.10 | Combining equations (384,368) yields a new equation: % 34.41/10.10 | (385) e2 = e0 % 34.41/10.10 | % 34.41/10.10 | Equations (385) can reduce 51 to: % 34.41/10.10 | (303) $false % 34.41/10.10 | % 34.41/10.10 |-The branch is then unsatisfiable % 34.41/10.10 |-Branch two: % 34.41/10.10 | (387) ~ (all_0_49_49 = e0) % 34.41/10.10 | (388) all_0_51_51 = e0 % 34.41/10.10 | % 34.41/10.10 | Equations (388) can reduce 2347 to: % 34.41/10.10 | (303) $false % 34.41/10.10 | % 34.41/10.10 |-The branch is then unsatisfiable % 34.41/10.10 |-Branch two: % 34.41/10.10 | (2167) ~ (all_0_49_49 = e2) % 34.41/10.10 | (5846) all_0_53_53 = e2 | all_0_57_57 = e2 % 34.41/10.10 | % 34.41/10.10 +-Applying beta-rule and splitting (114), into two cases. % 34.41/10.10 |-Branch one: % 34.41/10.10 | (368) all_0_49_49 = e2 % 34.41/10.10 | % 34.41/10.10 | Equations (368) can reduce 2167 to: % 34.41/10.10 | (303) $false % 34.41/10.10 | % 34.41/10.10 |-The branch is then unsatisfiable % 34.41/10.10 |-Branch two: % 34.41/10.10 | (2167) ~ (all_0_49_49 = e2) % 34.41/10.10 | (2168) all_0_49_49 = e1 | all_0_49_49 = e0 % 34.41/10.10 | % 34.41/10.10 +-Applying beta-rule and splitting (180), into two cases. % 34.41/10.10 |-Branch one: % 34.41/10.10 | (945) all_0_41_41 = e2 % 34.41/10.10 | % 34.41/10.10 | Equations (945) can reduce 369 to: % 34.41/10.10 | (303) $false % 34.41/10.10 | % 34.41/10.10 |-The branch is then unsatisfiable % 34.41/10.10 |-Branch two: % 34.41/10.10 | (369) ~ (all_0_41_41 = e2) % 34.41/10.10 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 34.41/10.10 | % 34.41/10.10 +-Applying beta-rule and splitting (2168), into two cases. % 34.41/10.10 |-Branch one: % 34.41/10.10 | (1580) all_0_49_49 = e1 % 34.41/10.10 | % 34.41/10.10 | Equations (1580) can reduce 506 to: % 34.41/10.10 | (303) $false % 34.41/10.10 | % 34.41/10.10 |-The branch is then unsatisfiable % 34.41/10.10 |-Branch two: % 34.41/10.10 | (506) ~ (all_0_49_49 = e1) % 34.41/10.10 | (384) all_0_49_49 = e0 % 34.41/10.10 | % 34.41/10.10 | Equations (384) can reduce 160 to: % 34.41/10.10 | (5945) ~ (all_0_51_51 = e0) % 34.41/10.10 | % 34.41/10.10 | Simplifying 5945 yields: % 34.41/10.10 | (2347) ~ (all_0_51_51 = e0) % 34.41/10.10 | % 34.41/10.10 | Equations (384) can reduce 218 to: % 34.41/10.10 | (333) ~ (e3 = e0) % 34.41/10.10 | % 34.41/10.10 | Simplifying 333 yields: % 34.41/10.10 | (70) ~ (e3 = e0) % 34.41/10.10 | % 34.41/10.10 +-Applying beta-rule and splitting (1017), into two cases. % 34.41/10.10 |-Branch one: % 34.41/10.10 | (696) all_0_41_41 = e1 % 34.41/10.10 | % 34.41/10.10 | Equations (696) can reduce 699 to: % 34.41/10.10 | (303) $false % 34.41/10.10 | % 34.41/10.10 |-The branch is then unsatisfiable % 34.41/10.10 |-Branch two: % 34.41/10.10 | (699) ~ (all_0_41_41 = e1) % 34.41/10.10 | (2158) all_0_41_41 = e3 | all_0_41_41 = e0 % 34.41/10.10 | % 34.41/10.10 +-Applying beta-rule and splitting (84), into two cases. % 34.41/10.10 |-Branch one: % 34.41/10.10 | (2078) all_0_44_44 = e0 % 34.41/10.10 | % 34.41/10.10 | Equations (2078) can reduce 176 to: % 34.41/10.10 | (326) ~ (all_0_41_41 = e0) % 34.41/10.10 | % 34.41/10.10 +-Applying beta-rule and splitting (2158), into two cases. % 34.41/10.10 |-Branch one: % 34.41/10.10 | (398) all_0_41_41 = e0 % 34.41/10.10 | % 34.41/10.10 | Equations (398) can reduce 326 to: % 34.41/10.10 | (303) $false % 34.41/10.10 | % 34.41/10.10 |-The branch is then unsatisfiable % 34.41/10.10 |-Branch two: % 34.41/10.10 | (326) ~ (all_0_41_41 = e0) % 34.41/10.10 | (431) all_0_41_41 = e3 % 34.41/10.10 | % 34.41/10.10 | Equations (431) can reduce 996 to: % 34.41/10.10 | (303) $false % 34.41/10.10 | % 34.41/10.10 |-The branch is then unsatisfiable % 34.41/10.10 |-Branch two: % 34.41/10.10 | (330) ~ (all_0_44_44 = e0) % 34.41/10.10 | (2270) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_60_60 = e0 % 34.41/10.10 | % 34.41/10.10 +-Applying beta-rule and splitting (2270), into two cases. % 34.41/10.10 |-Branch one: % 34.41/10.10 | (306) all_0_47_47 = e0 % 34.41/10.10 | % 34.41/10.10 | Combining equations (306,309) yields a new equation: % 34.41/10.10 | (497) e3 = e0 % 34.41/10.10 | % 34.41/10.10 | Equations (497) can reduce 70 to: % 34.41/10.10 | (303) $false % 34.41/10.10 | % 34.41/10.10 |-The branch is then unsatisfiable % 34.41/10.10 |-Branch two: % 34.41/10.10 | (290) ~ (all_0_47_47 = e0) % 34.41/10.10 | (2342) all_0_51_51 = e0 | all_0_60_60 = e0 % 34.41/10.10 | % 34.41/10.10 +-Applying beta-rule and splitting (2342), into two cases. % 34.41/10.10 |-Branch one: % 34.41/10.10 | (388) all_0_51_51 = e0 % 34.41/10.10 | % 34.41/10.10 | Equations (388) can reduce 2347 to: % 34.41/10.10 | (303) $false % 34.41/10.10 | % 34.41/10.10 |-The branch is then unsatisfiable % 34.41/10.10 |-Branch two: % 34.41/10.10 | (2347) ~ (all_0_51_51 = e0) % 34.41/10.10 | (1934) all_0_60_60 = e0 % 34.41/10.10 | % 34.41/10.10 | Equations (1934) can reduce 414 to: % 34.41/10.10 | (303) $false % 34.41/10.10 | % 34.41/10.10 |-The branch is then unsatisfiable % 34.41/10.11 |-Branch two: % 34.41/10.11 | (592) ~ (all_0_57_57 = e1) % 34.41/10.11 | (3062) all_0_57_57 = e3 | all_0_57_57 = e0 % 34.41/10.11 | % 34.41/10.11 +-Applying beta-rule and splitting (3062), into two cases. % 34.41/10.11 |-Branch one: % 34.41/10.11 | (407) all_0_57_57 = e0 % 34.41/10.11 | % 34.41/10.11 | Equations (407) can reduce 2273 to: % 34.41/10.11 | (303) $false % 34.41/10.11 | % 34.41/10.11 |-The branch is then unsatisfiable % 34.41/10.11 |-Branch two: % 34.41/10.11 | (2273) ~ (all_0_57_57 = e0) % 34.41/10.11 | (1001) all_0_57_57 = e3 % 34.41/10.11 | % 34.41/10.11 | Equations (1001) can reduce 2590 to: % 34.41/10.11 | (303) $false % 34.41/10.11 | % 34.41/10.11 |-The branch is then unsatisfiable % 34.41/10.11 |-Branch two: % 34.41/10.11 | (273) ~ (all_0_52_52 = e2) % 34.41/10.11 | (1772) all_0_52_52 = e4 | all_0_52_52 = e3 | all_0_52_52 = e1 % 34.41/10.11 | % 34.41/10.11 +-Applying beta-rule and splitting (1772), into two cases. % 34.41/10.11 |-Branch one: % 34.41/10.11 | (442) all_0_52_52 = e4 % 34.41/10.11 | % 34.41/10.11 | Equations (442) can reduce 445 to: % 34.41/10.11 | (303) $false % 34.41/10.11 | % 34.41/10.11 |-The branch is then unsatisfiable % 34.41/10.11 |-Branch two: % 34.41/10.11 | (445) ~ (all_0_52_52 = e4) % 34.41/10.11 | (1795) all_0_52_52 = e3 | all_0_52_52 = e1 % 34.41/10.11 | % 34.41/10.11 +-Applying beta-rule and splitting (1795), into two cases. % 34.41/10.11 |-Branch one: % 34.41/10.11 | (1070) all_0_52_52 = e1 % 34.41/10.11 | % 34.41/10.11 | Equations (1070) can reduce 502 to: % 34.41/10.11 | (303) $false % 34.41/10.11 | % 34.41/10.11 |-The branch is then unsatisfiable % 34.41/10.11 |-Branch two: % 34.41/10.11 | (502) ~ (all_0_52_52 = e1) % 34.41/10.11 | (425) all_0_52_52 = e3 % 34.41/10.11 | % 34.41/10.11 | Equations (425) can reduce 521 to: % 34.41/10.11 | (303) $false % 34.41/10.11 | % 34.41/10.11 |-The branch is then unsatisfiable % 34.41/10.11 |-Branch two: % 34.41/10.11 | (464) ~ (all_0_55_55 = e1) % 34.41/10.11 | (2165) all_0_55_55 = e3 % 34.41/10.11 | % 34.41/10.11 | Equations (2165) can reduce 314 to: % 34.41/10.11 | (303) $false % 34.41/10.11 | % 34.41/10.11 |-The branch is then unsatisfiable % 34.41/10.11 |-Branch two: % 34.41/10.11 | (534) ~ (all_0_45_45 = e0) % 34.41/10.11 | (306) all_0_47_47 = e0 % 34.41/10.11 | % 34.41/10.11 | Equations (306) can reduce 52 to: % 34.41/10.11 | (330) ~ (all_0_44_44 = e0) % 34.41/10.11 | % 34.41/10.11 | Equations (306) can reduce 118 to: % 34.41/10.11 | (534) ~ (all_0_45_45 = e0) % 34.41/10.11 | % 34.41/10.11 | Equations (306) can reduce 142 to: % 34.41/10.11 | (5945) ~ (all_0_51_51 = e0) % 34.41/10.11 | % 34.41/10.11 | Simplifying 5945 yields: % 34.41/10.11 | (2347) ~ (all_0_51_51 = e0) % 34.41/10.11 | % 34.41/10.11 | Equations (306) can reduce 39 to: % 34.41/10.11 | (392) ~ (all_0_55_55 = e0) % 34.41/10.11 | % 34.41/10.11 | Simplifying 392 yields: % 34.41/10.11 | (93) ~ (all_0_55_55 = e0) % 34.41/10.11 | % 34.41/10.11 | Equations (306) can reduce 47 to: % 34.41/10.11 | (413) ~ (all_0_60_60 = e0) % 34.41/10.11 | % 34.41/10.11 | Simplifying 413 yields: % 34.41/10.11 | (414) ~ (all_0_60_60 = e0) % 34.41/10.11 | % 34.41/10.11 | Equations (306) can reduce 256 to: % 34.41/10.11 | (335) ~ (e2 = e0) % 34.41/10.11 | % 34.41/10.11 | Simplifying 335 yields: % 34.41/10.11 | (51) ~ (e2 = e0) % 34.41/10.11 | % 34.41/10.11 | Equations (306) can reduce 193 to: % 34.41/10.11 | (661) ~ (e1 = e0) % 34.41/10.11 | % 34.41/10.11 | Simplifying 661 yields: % 34.41/10.11 | (134) ~ (e1 = e0) % 34.41/10.11 | % 34.41/10.11 | From (306) and (68) follows: % 34.41/10.11 | (6267) op(e0, e3) = all_0_13_13 % 34.41/10.11 | % 34.41/10.11 | From (306) and (75) follows: % 34.41/10.11 | (6268) op(e0, e0) = all_0_14_14 % 34.41/10.11 | % 34.41/10.11 | From (306) and (204) follows: % 34.41/10.11 | (6269) op(e3, e0) = e0 % 34.41/10.11 | % 34.41/10.11 +-Applying beta-rule and splitting (76), into two cases. % 34.41/10.11 |-Branch one: % 34.41/10.11 | (951) all_0_45_45 = e2 % 34.41/10.11 | % 34.41/10.11 | Equations (951) can reduce 254 to: % 34.41/10.11 | (303) $false % 34.41/10.11 | % 34.41/10.11 |-The branch is then unsatisfiable % 34.41/10.11 |-Branch two: % 34.41/10.11 | (254) ~ (all_0_45_45 = e2) % 34.41/10.11 | (6273) all_0_45_45 = e3 | all_0_45_45 = e0 % 34.41/10.11 | % 34.41/10.11 +-Applying beta-rule and splitting (101), into two cases. % 34.41/10.11 |-Branch one: % 34.41/10.11 | (493) all_0_45_45 = e3 % 34.41/10.11 | % 34.41/10.11 | Equations (493) can reduce 214 to: % 34.41/10.11 | (1725) ~ (all_0_48_48 = e3) % 34.41/10.11 | % 34.41/10.11 | Simplifying 1725 yields: % 34.41/10.11 | (34) ~ (all_0_48_48 = e3) % 34.41/10.11 | % 34.41/10.11 | Equations (493) can reduce 162 to: % 34.41/10.11 | (1727) ~ (all_0_52_52 = e3) % 34.41/10.11 | % 34.41/10.11 | Simplifying 1727 yields: % 34.41/10.11 | (521) ~ (all_0_52_52 = e3) % 34.41/10.11 | % 34.41/10.11 | Equations (493) can reduce 182 to: % 34.41/10.11 | (2285) ~ (all_0_56_56 = e3) % 34.41/10.11 | % 34.41/10.11 | Simplifying 2285 yields: % 34.41/10.11 | (526) ~ (all_0_56_56 = e3) % 34.41/10.11 | % 34.41/10.11 | Equations (493) can reduce 217 to: % 34.41/10.11 | (439) ~ (e4 = e3) % 34.41/10.11 | % 34.41/10.11 | Simplifying 439 yields: % 34.41/10.11 | (30) ~ (e4 = e3) % 34.41/10.11 | % 34.41/10.11 | Equations (493) can reduce 254 to: % 34.41/10.11 | (223) ~ (e3 = e2) % 34.41/10.11 | % 34.41/10.11 | Equations (493) can reduce 184 to: % 34.41/10.11 | (136) ~ (e3 = e1) % 34.41/10.11 | % 34.41/10.11 | Equations (493) can reduce 534 to: % 34.41/10.11 | (70) ~ (e3 = e0) % 34.41/10.11 | % 34.41/10.11 | From (493) and (49) follows: % 34.41/10.11 | (6283) op(e3, e3) = all_0_9_9 % 34.41/10.11 | % 34.41/10.11 | Instantiating formula (29) with e3, e3, all_0_9_9, e4 and discharging atoms op(e3, e3) = all_0_9_9, op(e3, e3) = e4, yields: % 34.41/10.11 | (6284) all_0_9_9 = e4 % 34.41/10.11 | % 34.41/10.11 | Instantiating formula (29) with e0, e3, all_0_13_13, all_0_57_57 and discharging atoms op(e0, e3) = all_0_13_13, op(e0, e3) = all_0_57_57, yields: % 34.41/10.11 | (6285) all_0_13_13 = all_0_57_57 % 34.41/10.11 | % 34.41/10.11 | Instantiating formula (29) with e0, e0, all_0_14_14, all_0_60_60 and discharging atoms op(e0, e0) = all_0_14_14, op(e0, e0) = all_0_60_60, yields: % 34.41/10.11 | (6286) all_0_14_14 = all_0_60_60 % 34.41/10.11 | % 34.41/10.11 | From (6284) and (6283) follows: % 34.41/10.11 | (22) op(e3, e3) = e4 % 34.41/10.11 | % 34.41/10.11 | From (6285) and (6267) follows: % 34.41/10.11 | (5) op(e0, e3) = all_0_57_57 % 34.41/10.11 | % 34.41/10.11 | From (6286) and (6268) follows: % 34.41/10.11 | (170) op(e0, e0) = all_0_60_60 % 34.41/10.11 | % 34.41/10.11 +-Applying beta-rule and splitting (88), into two cases. % 34.41/10.11 |-Branch one: % 34.41/10.11 | (364) all_0_50_50 = e2 % 34.41/10.11 | % 34.41/10.11 | Equations (364) can reduce 258 to: % 34.41/10.11 | (303) $false % 34.41/10.11 | % 34.41/10.11 |-The branch is then unsatisfiable % 34.41/10.11 |-Branch two: % 34.41/10.11 | (258) ~ (all_0_50_50 = e2) % 34.41/10.11 | (367) all_0_50_50 = e4 | all_0_50_50 = e1 % 34.41/10.11 | % 34.41/10.11 +-Applying beta-rule and splitting (114), into two cases. % 34.41/10.11 |-Branch one: % 34.41/10.11 | (368) all_0_49_49 = e2 % 34.41/10.11 | % 34.41/10.11 | Equations (368) can reduce 177 to: % 34.41/10.11 | (369) ~ (all_0_41_41 = e2) % 34.41/10.11 | % 34.41/10.11 | Equations (368) can reduce 58 to: % 34.41/10.11 | (544) ~ (all_0_48_48 = e2) % 34.41/10.11 | % 34.41/10.11 | Equations (368) can reduce 37 to: % 34.41/10.11 | (257) ~ (all_0_50_50 = e2) % 34.41/10.11 | % 34.41/10.11 | Simplifying 257 yields: % 34.41/10.11 | (258) ~ (all_0_50_50 = e2) % 34.41/10.11 | % 34.41/10.11 | Equations (368) can reduce 160 to: % 34.41/10.11 | (372) ~ (all_0_51_51 = e2) % 34.41/10.11 | % 34.41/10.11 | Simplifying 372 yields: % 34.41/10.11 | (373) ~ (all_0_51_51 = e2) % 34.41/10.11 | % 34.41/10.11 | Equations (368) can reduce 7 to: % 34.41/10.11 | (374) ~ (all_0_53_53 = e2) % 34.41/10.11 | % 34.41/10.11 | Simplifying 374 yields: % 34.41/10.11 | (274) ~ (all_0_53_53 = e2) % 34.41/10.11 | % 34.41/10.11 | Equations (368) can reduce 226 to: % 34.41/10.11 | (376) ~ (all_0_57_57 = e2) % 34.41/10.11 | % 34.41/10.11 | Simplifying 376 yields: % 34.41/10.11 | (377) ~ (all_0_57_57 = e2) % 34.41/10.11 | % 34.41/10.11 | Equations (368) can reduce 215 to: % 34.41/10.11 | (261) ~ (e4 = e2) % 34.41/10.11 | % 34.41/10.11 | Simplifying 261 yields: % 34.41/10.11 | (231) ~ (e4 = e2) % 34.41/10.11 | % 34.41/10.11 | Equations (368) can reduce 218 to: % 34.41/10.11 | (577) ~ (e3 = e2) % 34.41/10.11 | % 34.41/10.11 | Simplifying 577 yields: % 34.41/10.11 | (223) ~ (e3 = e2) % 34.41/10.11 | % 34.41/10.11 | From (368) and (113) follows: % 34.41/10.11 | (3212) op(e2, e2) = all_0_17_17 % 34.41/10.11 | % 34.41/10.11 +-Applying beta-rule and splitting (67), into two cases. % 34.41/10.11 |-Branch one: % 34.41/10.11 | (380) all_0_48_48 = e0 % 34.41/10.11 | % 34.41/10.11 | Equations (380) can reduce 48 to: % 34.41/10.11 | (6386) ~ (all_0_50_50 = e0) % 34.41/10.11 | % 34.41/10.11 | Simplifying 6386 yields: % 34.41/10.11 | (207) ~ (all_0_50_50 = e0) % 34.41/10.11 | % 34.41/10.11 | Equations (380) can reduce 127 to: % 34.41/10.11 | (5945) ~ (all_0_51_51 = e0) % 34.41/10.11 | % 34.41/10.11 | Simplifying 5945 yields: % 34.41/10.11 | (2347) ~ (all_0_51_51 = e0) % 34.41/10.11 | % 34.41/10.11 | Equations (380) can reduce 108 to: % 34.41/10.11 | (293) ~ (all_0_52_52 = e0) % 34.41/10.11 | % 34.41/10.11 | Simplifying 293 yields: % 34.41/10.11 | (78) ~ (all_0_52_52 = e0) % 34.41/10.11 | % 34.41/10.11 | Equations (380) can reduce 2 to: % 34.41/10.11 | (295) ~ (all_0_56_56 = e0) % 34.41/10.11 | % 34.41/10.11 | Simplifying 295 yields: % 34.41/10.11 | (296) ~ (all_0_56_56 = e0) % 34.41/10.11 | % 34.41/10.11 | Equations (380) can reduce 544 to: % 34.41/10.11 | (335) ~ (e2 = e0) % 34.41/10.11 | % 34.41/10.11 | Simplifying 335 yields: % 34.41/10.11 | (51) ~ (e2 = e0) % 34.41/10.11 | % 34.41/10.11 | From (380) and (187) follows: % 34.41/10.11 | (6396) op(e0, e4) = all_0_16_16 % 34.41/10.11 | % 34.41/10.11 | From (380) and (105) follows: % 34.41/10.11 | (9697) op(e2, e4) = e0 % 34.41/10.11 | % 34.41/10.11 +-Applying beta-rule and splitting (150), into two cases. % 34.41/10.11 |-Branch one: % 34.41/10.11 | (398) all_0_41_41 = e0 % 34.41/10.11 | % 34.41/10.11 | Equations (398) can reduce 151 to: % 34.41/10.11 | (288) ~ (all_0_40_40 = e0) % 34.41/10.11 | % 34.41/10.11 | Equations (398) can reduce 43 to: % 34.41/10.11 | (327) ~ (all_0_43_43 = e0) % 34.41/10.11 | % 34.41/10.11 | Simplifying 327 yields: % 34.41/10.11 | (117) ~ (all_0_43_43 = e0) % 34.41/10.11 | % 34.41/10.11 | Equations (398) can reduce 176 to: % 34.41/10.11 | (329) ~ (all_0_44_44 = e0) % 34.41/10.11 | % 34.41/10.11 | Simplifying 329 yields: % 34.41/10.11 | (330) ~ (all_0_44_44 = e0) % 34.41/10.11 | % 34.41/10.11 | Equations (398) can reduce 121 to: % 34.41/10.11 | (2546) ~ (all_0_53_53 = e0) % 34.41/10.11 | % 34.41/10.11 | Simplifying 2546 yields: % 34.41/10.11 | (140) ~ (all_0_53_53 = e0) % 34.41/10.11 | % 34.41/10.11 | Equations (398) can reduce 11 to: % 34.41/10.11 | (2272) ~ (all_0_57_57 = e0) % 34.41/10.11 | % 34.41/10.11 | Simplifying 2272 yields: % 34.41/10.11 | (2273) ~ (all_0_57_57 = e0) % 34.41/10.11 | % 34.41/10.11 | Equations (398) can reduce 192 to: % 34.41/10.12 | (297) ~ (e4 = e0) % 34.41/10.12 | % 34.41/10.12 | Simplifying 297 yields: % 34.41/10.12 | (4) ~ (e4 = e0) % 34.41/10.12 | % 34.41/10.12 | From (398) and (211) follows: % 34.41/10.12 | (3244) op(e0, e4) = all_0_1_1 % 34.41/10.12 | % 34.41/10.12 | From (398) and (26) follows: % 34.41/10.12 | (3245) op(e0, e3) = all_0_2_2 % 34.41/10.12 | % 34.41/10.12 | Instantiating formula (29) with e2, e2, all_0_17_17, e3 and discharging atoms op(e2, e2) = all_0_17_17, op(e2, e2) = e3, yields: % 34.41/10.12 | (3246) all_0_17_17 = e3 % 34.41/10.12 | % 34.41/10.12 | Instantiating formula (29) with e0, e4, all_0_1_1, all_0_56_56 and discharging atoms op(e0, e4) = all_0_1_1, op(e0, e4) = all_0_56_56, yields: % 34.41/10.12 | (3247) all_0_1_1 = all_0_56_56 % 34.41/10.12 | % 34.41/10.12 | Instantiating formula (29) with e0, e4, all_0_16_16, all_0_1_1 and discharging atoms op(e0, e4) = all_0_1_1, op(e0, e4) = all_0_16_16, yields: % 34.41/10.12 | (9214) all_0_1_1 = all_0_16_16 % 34.41/10.12 | % 34.41/10.12 | Instantiating formula (29) with e0, e3, all_0_2_2, all_0_57_57 and discharging atoms op(e0, e3) = all_0_2_2, op(e0, e3) = all_0_57_57, yields: % 34.41/10.12 | (3248) all_0_2_2 = all_0_57_57 % 34.41/10.12 | % 34.41/10.12 | Combining equations (3247,9214) yields a new equation: % 34.41/10.12 | (6399) all_0_16_16 = all_0_56_56 % 34.41/10.12 | % 34.41/10.12 | From (3246) and (3212) follows: % 34.41/10.12 | (83) op(e2, e2) = e3 % 34.41/10.12 | % 34.41/10.12 | From (6399) and (6396) follows: % 34.41/10.12 | (132) op(e0, e4) = all_0_56_56 % 34.41/10.12 | % 34.41/10.12 +-Applying beta-rule and splitting (213), into two cases. % 34.41/10.12 |-Branch one: % 34.41/10.12 | (360) all_0_53_53 = e2 % 34.41/10.12 | % 34.41/10.12 | Equations (360) can reduce 274 to: % 34.41/10.12 | (303) $false % 34.41/10.12 | % 34.41/10.12 |-The branch is then unsatisfiable % 34.41/10.12 |-Branch two: % 34.41/10.12 | (274) ~ (all_0_53_53 = e2) % 34.41/10.12 | (363) all_0_53_53 = e3 | all_0_53_53 = e1 % 34.41/10.12 | % 34.41/10.12 +-Applying beta-rule and splitting (91), into two cases. % 34.41/10.12 |-Branch one: % 34.41/10.12 | (980) all_0_52_52 = e2 % 34.41/10.12 | % 34.41/10.12 | Equations (980) can reduce 188 to: % 34.41/10.12 | (939) ~ (all_0_40_40 = e2) % 34.41/10.12 | % 34.41/10.12 | Equations (980) can reduce 77 to: % 34.41/10.12 | (374) ~ (all_0_53_53 = e2) % 34.41/10.12 | % 34.41/10.12 | Simplifying 374 yields: % 34.41/10.12 | (274) ~ (all_0_53_53 = e2) % 34.41/10.12 | % 34.41/10.12 | Equations (980) can reduce 169 to: % 34.41/10.12 | (275) ~ (all_0_55_55 = e2) % 34.41/10.12 | % 34.41/10.12 | Simplifying 275 yields: % 34.41/10.12 | (276) ~ (all_0_55_55 = e2) % 34.41/10.12 | % 34.41/10.12 | Equations (980) can reduce 521 to: % 34.41/10.12 | (577) ~ (e3 = e2) % 34.41/10.12 | % 34.41/10.12 | Simplifying 577 yields: % 34.41/10.12 | (223) ~ (e3 = e2) % 34.41/10.12 | % 34.41/10.12 | Equations (980) can reduce 78 to: % 34.41/10.12 | (51) ~ (e2 = e0) % 34.41/10.12 | % 34.41/10.12 | From (980) and (45) follows: % 34.41/10.12 | (13962) op(e2, e4) = all_0_24_24 % 34.41/10.12 | % 34.41/10.12 | From (980) and (152) follows: % 34.41/10.12 | (13964) op(e1, e4) = e2 % 34.41/10.12 | % 34.41/10.12 +-Applying beta-rule and splitting (112), into two cases. % 34.41/10.12 |-Branch one: % 34.41/10.12 | (572) all_0_44_44 = e2 % 34.41/10.12 | % 34.41/10.12 | Equations (572) can reduce 915 to: % 34.41/10.12 | (303) $false % 34.41/10.12 | % 34.41/10.12 |-The branch is then unsatisfiable % 34.41/10.12 |-Branch two: % 34.41/10.12 | (915) ~ (all_0_44_44 = e2) % 34.41/10.12 | (916) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 34.41/10.12 | % 34.41/10.12 +-Applying beta-rule and splitting (916), into two cases. % 34.41/10.12 |-Branch one: % 34.41/10.12 | (302) all_0_47_47 = e2 % 34.41/10.12 | % 34.41/10.12 | Combining equations (306,302) yields a new equation: % 34.41/10.12 | (385) e2 = e0 % 34.41/10.12 | % 34.41/10.12 | Equations (385) can reduce 51 to: % 34.41/10.12 | (303) $false % 34.41/10.12 | % 34.41/10.12 |-The branch is then unsatisfiable % 34.41/10.12 |-Branch two: % 34.41/10.12 | (256) ~ (all_0_47_47 = e2) % 34.41/10.12 | (926) all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 34.41/10.12 | % 34.41/10.12 +-Applying beta-rule and splitting (926), into two cases. % 34.41/10.12 |-Branch one: % 34.41/10.12 | (927) all_0_51_51 = e2 % 34.41/10.12 | % 34.41/10.12 | Equations (927) can reduce 373 to: % 34.41/10.12 | (303) $false % 34.41/10.12 | % 34.41/10.12 |-The branch is then unsatisfiable % 34.41/10.12 |-Branch two: % 34.41/10.12 | (373) ~ (all_0_51_51 = e2) % 34.41/10.12 | (931) all_0_55_55 = e2 | all_0_60_60 = e2 % 34.41/10.12 | % 34.41/10.12 +-Applying beta-rule and splitting (931), into two cases. % 34.41/10.12 |-Branch one: % 34.41/10.12 | (932) all_0_55_55 = e2 % 34.41/10.12 | % 34.41/10.12 | Equations (932) can reduce 276 to: % 34.41/10.12 | (303) $false % 34.41/10.12 | % 34.41/10.12 |-The branch is then unsatisfiable % 34.41/10.12 |-Branch two: % 34.41/10.12 | (276) ~ (all_0_55_55 = e2) % 34.41/10.12 | (913) all_0_60_60 = e2 % 34.41/10.12 | % 34.41/10.12 | Combining equations (913,3189) yields a new equation: % 34.41/10.12 | (10917) all_0_35_35 = e2 % 34.41/10.12 | % 34.41/10.12 | Combining equations (913,6286) yields a new equation: % 34.41/10.12 | (10918) all_0_14_14 = e2 % 34.41/10.12 | % 34.41/10.12 | Equations (913) can reduce 165 to: % 34.41/10.12 | (915) ~ (all_0_44_44 = e2) % 34.41/10.12 | % 34.41/10.12 | Equations (913) can reduce 95 to: % 34.41/10.12 | (373) ~ (all_0_51_51 = e2) % 34.41/10.12 | % 34.41/10.12 | Equations (913) can reduce 174 to: % 34.41/10.12 | (594) ~ (all_0_56_56 = e2) % 34.41/10.12 | % 34.41/10.12 | Equations (913) can reduce 81 to: % 34.41/10.12 | (377) ~ (all_0_57_57 = e2) % 34.41/10.12 | % 34.41/10.12 | Equations (913) can reduce 164 to: % 34.41/10.12 | (260) ~ (all_0_59_59 = e2) % 34.41/10.12 | % 34.41/10.12 | Equations (913) can reduce 414 to: % 34.41/10.12 | (51) ~ (e2 = e0) % 34.41/10.12 | % 34.41/10.12 | From (913) and (170) follows: % 34.41/10.12 | (3491) op(e0, e0) = e2 % 34.41/10.12 | % 34.41/10.12 | Instantiating formula (29) with e2, e4, all_0_24_24, e0 and discharging atoms op(e2, e4) = all_0_24_24, op(e2, e4) = e0, yields: % 34.41/10.12 | (3590) all_0_24_24 = e0 % 34.41/10.12 | % 34.41/10.12 | From (3590) and (13962) follows: % 34.41/10.12 | (9697) op(e2, e4) = e0 % 34.41/10.12 | % 34.41/10.12 +-Applying beta-rule and splitting (64), into two cases. % 34.41/10.12 |-Branch one: % 34.41/10.12 | (425) all_0_52_52 = e3 % 34.41/10.12 | % 34.41/10.12 | Combining equations (980,425) yields a new equation: % 34.41/10.12 | (453) e3 = e2 % 34.41/10.12 | % 34.41/10.12 | Equations (453) can reduce 223 to: % 34.41/10.12 | (303) $false % 34.41/10.12 | % 34.41/10.12 |-The branch is then unsatisfiable % 34.41/10.12 |-Branch two: % 34.41/10.12 | (521) ~ (all_0_52_52 = e3) % 34.41/10.12 | (1006) all_0_53_53 = e3 | all_0_55_55 = e3 % 34.41/10.12 | % 34.41/10.12 | Equations (980) can reduce 521 to: % 34.41/10.12 | (577) ~ (e3 = e2) % 34.41/10.12 | % 34.41/10.12 | Simplifying 577 yields: % 34.41/10.12 | (223) ~ (e3 = e2) % 34.41/10.12 | % 34.41/10.12 +-Applying beta-rule and splitting (234), into two cases. % 34.41/10.12 |-Branch one: % 34.41/10.12 | (609) all_0_48_48 = e4 % 34.41/10.12 | % 34.41/10.12 | Combining equations (380,609) yields a new equation: % 34.41/10.12 | (654) e4 = e0 % 34.41/10.12 | % 34.41/10.12 | Equations (654) can reduce 4 to: % 34.41/10.12 | (303) $false % 34.41/10.12 | % 34.41/10.12 |-The branch is then unsatisfiable % 34.41/10.12 |-Branch two: % 34.41/10.12 | (721) ~ (all_0_48_48 = e4) % 34.41/10.12 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 34.41/10.12 | % 34.41/10.12 +-Applying beta-rule and splitting (85), into two cases. % 34.41/10.12 |-Branch one: % 34.41/10.12 | (1070) all_0_52_52 = e1 % 34.41/10.12 | % 34.41/10.12 | Combining equations (980,1070) yields a new equation: % 34.41/10.12 | (584) e2 = e1 % 34.41/10.12 | % 34.41/10.12 | Simplifying 584 yields: % 34.41/10.12 | (585) e2 = e1 % 34.41/10.12 | % 34.41/10.12 | Equations (585) can reduce 144 to: % 34.41/10.12 | (303) $false % 34.41/10.12 | % 34.41/10.12 |-The branch is then unsatisfiable % 34.41/10.12 |-Branch two: % 34.41/10.12 | (502) ~ (all_0_52_52 = e1) % 34.41/10.12 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 34.41/10.12 | % 34.41/10.12 | Equations (980) can reduce 502 to: % 34.41/10.12 | (144) ~ (e2 = e1) % 34.41/10.12 | % 34.41/10.12 +-Applying beta-rule and splitting (137), into two cases. % 34.41/10.12 |-Branch one: % 34.41/10.12 | (447) all_0_43_43 = e3 % 34.41/10.12 | % 34.41/10.12 | Equations (447) can reduce 8 to: % 34.41/10.12 | (432) ~ (all_0_40_40 = e3) % 34.41/10.12 | % 34.41/10.12 | Equations (447) can reduce 82 to: % 34.41/10.12 | (435) ~ (all_0_44_44 = e3) % 34.41/10.12 | % 34.41/10.12 | Simplifying 435 yields: % 34.41/10.12 | (310) ~ (all_0_44_44 = e3) % 34.41/10.12 | % 34.41/10.12 | Equations (447) can reduce 238 to: % 34.41/10.12 | (9726) ~ (all_0_50_50 = e3) % 34.41/10.12 | % 34.41/10.12 | Simplifying 9726 yields: % 34.41/10.12 | (15) ~ (all_0_50_50 = e3) % 34.41/10.12 | % 34.41/10.12 | Equations (447) can reduce 249 to: % 34.41/10.12 | (1030) ~ (all_0_59_59 = e3) % 34.41/10.12 | % 34.41/10.12 | Simplifying 1030 yields: % 34.41/10.12 | (1031) ~ (all_0_59_59 = e3) % 34.41/10.12 | % 34.41/10.12 | Equations (447) can reduce 253 to: % 34.41/10.12 | (223) ~ (e3 = e2) % 34.41/10.12 | % 34.41/10.12 | Equations (447) can reduce 117 to: % 34.41/10.12 | (70) ~ (e3 = e0) % 34.41/10.12 | % 34.41/10.12 | From (447) and (99) follows: % 34.41/10.12 | (3298) op(e3, e1) = all_0_6_6 % 34.41/10.12 | % 34.41/10.12 | From (447) and (19) follows: % 34.41/10.12 | (3299) op(e4, e1) = e3 % 34.41/10.12 | % 34.41/10.12 +-Applying beta-rule and splitting (195), into two cases. % 34.41/10.12 |-Branch one: % 34.41/10.12 | (2081) all_0_44_44 = e3 % 34.41/10.12 | % 34.41/10.12 | Equations (2081) can reduce 310 to: % 34.41/10.12 | (303) $false % 34.41/10.12 | % 34.41/10.12 |-The branch is then unsatisfiable % 34.41/10.12 |-Branch two: % 34.41/10.12 | (310) ~ (all_0_44_44 = e3) % 34.41/10.12 | (7006) all_0_47_47 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 34.41/10.12 | % 34.41/10.12 +-Applying beta-rule and splitting (7006), into two cases. % 34.41/10.12 |-Branch one: % 34.41/10.12 | (309) all_0_47_47 = e3 % 34.41/10.12 | % 34.41/10.12 | Combining equations (309,306) yields a new equation: % 34.41/10.12 | (496) e3 = e0 % 34.41/10.12 | % 34.41/10.12 | Simplifying 496 yields: % 34.41/10.12 | (497) e3 = e0 % 34.41/10.12 | % 34.41/10.12 | Equations (497) can reduce 70 to: % 34.41/10.12 | (303) $false % 34.41/10.12 | % 34.41/10.12 |-The branch is then unsatisfiable % 34.41/10.12 |-Branch two: % 34.41/10.12 | (516) ~ (all_0_47_47 = e3) % 34.41/10.12 | (7012) all_0_55_55 = e3 | all_0_60_60 = e3 % 34.41/10.12 | % 34.41/10.12 +-Applying beta-rule and splitting (209), into two cases. % 34.41/10.12 |-Branch one: % 34.41/10.12 | (1111) all_0_56_56 = e3 % 34.41/10.12 | % 34.41/10.12 | Equations (1111) can reduce 526 to: % 34.41/10.12 | (303) $false % 34.41/10.12 | % 34.41/10.12 |-The branch is then unsatisfiable % 34.41/10.12 |-Branch two: % 34.41/10.12 | (526) ~ (all_0_56_56 = e3) % 34.41/10.12 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 34.41/10.12 | % 34.41/10.12 +-Applying beta-rule and splitting (1491), into two cases. % 34.41/10.12 |-Branch one: % 34.41/10.12 | (1001) all_0_57_57 = e3 % 34.41/10.12 | % 34.41/10.12 | Equations (1001) can reduce 172 to: % 34.41/10.12 | (526) ~ (all_0_56_56 = e3) % 34.41/10.12 | % 34.41/10.12 | Equations (1001) can reduce 222 to: % 34.41/10.12 | (1030) ~ (all_0_59_59 = e3) % 34.41/10.12 | % 34.41/10.12 | Simplifying 1030 yields: % 34.41/10.12 | (1031) ~ (all_0_59_59 = e3) % 34.41/10.12 | % 34.41/10.12 | Equations (1001) can reduce 377 to: % 34.41/10.12 | (223) ~ (e3 = e2) % 34.41/10.12 | % 34.41/10.12 +-Applying beta-rule and splitting (221), into two cases. % 34.41/10.12 |-Branch one: % 34.41/10.12 | (696) all_0_41_41 = e1 % 34.41/10.12 | % 34.41/10.12 | Combining equations (398,696) yields a new equation: % 34.41/10.12 | (590) e1 = e0 % 34.41/10.12 | % 34.41/10.13 | Equations (590) can reduce 134 to: % 34.41/10.13 | (303) $false % 34.41/10.13 | % 34.41/10.13 |-The branch is then unsatisfiable % 34.41/10.13 |-Branch two: % 34.41/10.13 | (699) ~ (all_0_41_41 = e1) % 34.41/10.13 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 34.41/10.13 | % 34.41/10.13 +-Applying beta-rule and splitting (2154), into two cases. % 34.41/10.13 |-Branch one: % 34.41/10.13 | (1580) all_0_49_49 = e1 % 34.41/10.13 | % 34.41/10.13 | Combining equations (1580,368) yields a new equation: % 34.41/10.13 | (585) e2 = e1 % 34.41/10.13 | % 34.41/10.13 | Equations (585) can reduce 144 to: % 34.41/10.13 | (303) $false % 34.41/10.13 | % 34.41/10.13 |-The branch is then unsatisfiable % 34.41/10.13 |-Branch two: % 34.41/10.13 | (506) ~ (all_0_49_49 = e1) % 34.41/10.13 | (2676) all_0_53_53 = e1 | all_0_57_57 = e1 % 34.41/10.13 | % 34.41/10.13 +-Applying beta-rule and splitting (2676), into two cases. % 34.41/10.13 |-Branch one: % 34.41/10.13 | (462) all_0_53_53 = e1 % 34.41/10.13 | % 34.41/10.13 | Equations (462) can reduce 131 to: % 34.41/10.13 | (463) ~ (all_0_55_55 = e1) % 34.41/10.13 | % 34.41/10.13 | Simplifying 463 yields: % 34.41/10.13 | (464) ~ (all_0_55_55 = e1) % 34.41/10.13 | % 34.41/10.13 | Equations (462) can reduce 140 to: % 34.41/10.13 | (134) ~ (e1 = e0) % 34.41/10.13 | % 34.41/10.13 | From (462) and (242) follows: % 34.41/10.13 | (3366) op(e1, e3) = all_0_26_26 % 34.41/10.13 | % 34.41/10.13 | From (462) and (224) follows: % 34.41/10.13 | (468) op(e1, e3) = e1 % 34.41/10.13 | % 34.41/10.13 +-Applying beta-rule and splitting (7012), into two cases. % 34.41/10.13 |-Branch one: % 34.41/10.13 | (2165) all_0_55_55 = e3 % 34.41/10.13 | % 34.41/10.13 | Equations (2165) can reduce 13 to: % 34.41/10.13 | (32) ~ (all_0_51_51 = e3) % 34.41/10.13 | % 34.41/10.13 | Equations (2165) can reduce 492 to: % 34.41/10.13 | (439) ~ (e4 = e3) % 34.41/10.13 | % 34.41/10.13 | Simplifying 439 yields: % 34.41/10.13 | (30) ~ (e4 = e3) % 34.41/10.13 | % 34.41/10.13 | Equations (2165) can reduce 464 to: % 34.41/10.13 | (136) ~ (e3 = e1) % 34.41/10.13 | % 34.41/10.13 | From (2165) and (155) follows: % 34.41/10.13 | (7016) op(e3, e1) = all_0_29_29 % 34.41/10.13 | % 34.41/10.13 | From (2165) and (240) follows: % 34.41/10.13 | (17535) op(e1, e0) = e3 % 34.41/10.13 | % 34.41/10.13 | Instantiating formula (29) with e3, e1, all_0_6_6, e2 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = e2, yields: % 34.41/10.13 | (3326) all_0_6_6 = e2 % 34.41/10.13 | % 34.41/10.13 | Instantiating formula (29) with e3, e1, all_0_29_29, all_0_6_6 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = all_0_29_29, yields: % 34.41/10.13 | (21969) all_0_6_6 = all_0_29_29 % 34.41/10.13 | % 34.41/10.13 | Instantiating formula (29) with e1, e3, e1, all_0_26_26 and discharging atoms op(e1, e3) = all_0_26_26, op(e1, e3) = e1, yields: % 34.41/10.13 | (3585) all_0_26_26 = e1 % 34.41/10.13 | % 34.41/10.13 | Combining equations (3326,21969) yields a new equation: % 34.41/10.13 | (7025) all_0_29_29 = e2 % 34.41/10.13 | % 34.41/10.13 | From (7025) and (7016) follows: % 34.41/10.13 | (266) op(e3, e1) = e2 % 34.41/10.13 | % 34.41/10.13 | From (3585) and (3366) follows: % 34.41/10.13 | (468) op(e1, e3) = e1 % 34.41/10.13 | % 34.41/10.13 +-Applying beta-rule and splitting (100), into two cases. % 34.41/10.13 |-Branch one: % 34.41/10.13 | (618) all_0_43_43 = e1 % 34.41/10.13 | % 34.41/10.13 | Combining equations (447,618) yields a new equation: % 34.41/10.13 | (680) e3 = e1 % 34.41/10.13 | % 34.41/10.13 | Simplifying 680 yields: % 34.41/10.13 | (601) e3 = e1 % 34.41/10.13 | % 34.41/10.13 | Equations (601) can reduce 136 to: % 34.41/10.13 | (303) $false % 34.41/10.13 | % 34.41/10.13 |-The branch is then unsatisfiable % 34.41/10.13 |-Branch two: % 34.41/10.13 | (622) ~ (all_0_43_43 = e1) % 34.41/10.13 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 34.41/10.13 | % 34.41/10.13 | Equations (447) can reduce 622 to: % 34.41/10.13 | (136) ~ (e3 = e1) % 34.41/10.13 | % 34.41/10.13 +-Applying beta-rule and splitting (139), into two cases. % 34.41/10.13 |-Branch one: % 34.41/10.13 | (614) all_0_43_43 = e4 % 34.41/10.13 | % 34.41/10.13 | Combining equations (447,614) yields a new equation: % 34.41/10.13 | (443) e4 = e3 % 34.41/10.13 | % 34.41/10.13 | Equations (443) can reduce 30 to: % 34.41/10.13 | (303) $false % 34.41/10.13 | % 34.41/10.13 |-The branch is then unsatisfiable % 34.41/10.13 |-Branch two: % 34.41/10.13 | (712) ~ (all_0_43_43 = e4) % 34.41/10.13 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 34.41/10.13 | % 34.41/10.13 +-Applying beta-rule and splitting (166), into two cases. % 34.41/10.13 |-Branch one: % 34.41/10.13 | (927) all_0_51_51 = e2 % 34.41/10.13 | % 34.41/10.13 | Equations (927) can reduce 373 to: % 34.41/10.13 | (303) $false % 34.41/10.13 | % 34.41/10.13 |-The branch is then unsatisfiable % 34.41/10.13 |-Branch two: % 34.41/10.13 | (373) ~ (all_0_51_51 = e2) % 34.41/10.13 | (6448) all_0_51_51 = e4 | all_0_51_51 = e1 | all_0_51_51 = e0 % 34.41/10.13 | % 34.41/10.13 +-Applying beta-rule and splitting (227), into two cases. % 34.41/10.13 |-Branch one: % 34.41/10.13 | (909) all_0_59_59 = e2 % 34.41/10.13 | % 34.41/10.13 | Equations (909) can reduce 260 to: % 34.41/10.13 | (303) $false % 34.41/10.13 | % 34.41/10.13 |-The branch is then unsatisfiable % 34.41/10.13 |-Branch two: % 34.41/10.13 | (260) ~ (all_0_59_59 = e2) % 34.41/10.13 | (1037) all_0_59_59 = e4 | all_0_59_59 = e3 | all_0_59_59 = e1 % 34.41/10.13 | % 34.41/10.13 +-Applying beta-rule and splitting (241), into two cases. % 34.41/10.13 |-Branch one: % 34.41/10.13 | (1096) all_0_44_44 = e4 % 34.41/10.13 | % 34.41/10.13 | Equations (1096) can reduce 124 to: % 34.41/10.13 | (844) ~ (all_0_40_40 = e4) % 34.41/10.13 | % 34.41/10.13 | Equations (1096) can reduce 161 to: % 34.41/10.13 | (6435) ~ (all_0_51_51 = e4) % 34.41/10.13 | % 34.41/10.13 | Simplifying 6435 yields: % 34.41/10.13 | (1504) ~ (all_0_51_51 = e4) % 34.41/10.13 | % 34.41/10.13 +-Applying beta-rule and splitting (44), into two cases. % 34.41/10.13 |-Branch one: % 34.41/10.13 | (624) all_0_40_40 = e1 % 34.41/10.13 | % 34.41/10.13 | Equations (624) can reduce 57 to: % 34.41/10.13 | (1799) ~ (all_0_56_56 = e1) % 34.41/10.13 | % 34.41/10.13 | Simplifying 1799 yields: % 34.41/10.13 | (587) ~ (all_0_56_56 = e1) % 34.41/10.13 | % 34.41/10.13 | Equations (624) can reduce 844 to: % 34.41/10.13 | (605) ~ (e4 = e1) % 34.41/10.13 | % 34.41/10.13 | Simplifying 605 yields: % 34.41/10.13 | (247) ~ (e4 = e1) % 34.41/10.13 | % 34.41/10.13 | Equations (624) can reduce 432 to: % 34.41/10.13 | (465) ~ (e3 = e1) % 34.41/10.13 | % 34.41/10.13 | Simplifying 465 yields: % 34.41/10.13 | (136) ~ (e3 = e1) % 34.41/10.13 | % 34.41/10.13 | Equations (624) can reduce 939 to: % 34.41/10.13 | (565) ~ (e2 = e1) % 34.41/10.13 | % 34.41/10.13 | Simplifying 565 yields: % 34.41/10.13 | (144) ~ (e2 = e1) % 34.41/10.13 | % 34.41/10.13 | Equations (624) can reduce 288 to: % 34.41/10.13 | (134) ~ (e1 = e0) % 34.41/10.13 | % 34.41/10.13 +-Applying beta-rule and splitting (196), into two cases. % 34.41/10.13 |-Branch one: % 34.41/10.13 | (723) all_0_40_40 = e4 % 34.41/10.13 | % 34.41/10.13 | Combining equations (723,624) yields a new equation: % 34.41/10.13 | (540) e4 = e1 % 34.41/10.13 | % 34.41/10.13 | Simplifying 540 yields: % 34.41/10.13 | (541) e4 = e1 % 34.41/10.13 | % 34.41/10.13 | Equations (541) can reduce 247 to: % 34.41/10.13 | (303) $false % 34.41/10.13 | % 34.41/10.13 |-The branch is then unsatisfiable % 34.41/10.13 |-Branch two: % 34.41/10.13 | (844) ~ (all_0_40_40 = e4) % 34.41/10.13 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 34.41/10.13 | % 34.41/10.13 | Equations (624) can reduce 844 to: % 34.41/10.13 | (605) ~ (e4 = e1) % 34.41/10.13 | % 34.41/10.13 | Simplifying 605 yields: % 34.41/10.13 | (247) ~ (e4 = e1) % 34.41/10.13 | % 34.41/10.13 +-Applying beta-rule and splitting (27), into two cases. % 34.41/10.13 |-Branch one: % 34.41/10.13 | (705) all_0_44_44 = e1 % 34.41/10.13 | % 34.41/10.13 | Combining equations (1096,705) yields a new equation: % 34.41/10.13 | (540) e4 = e1 % 34.41/10.13 | % 34.41/10.13 | Simplifying 540 yields: % 34.41/10.13 | (541) e4 = e1 % 34.41/10.13 | % 34.41/10.13 | Equations (541) can reduce 247 to: % 34.41/10.13 | (303) $false % 34.41/10.13 | % 34.41/10.13 |-The branch is then unsatisfiable % 34.41/10.13 |-Branch two: % 34.41/10.13 | (512) ~ (all_0_44_44 = e1) % 34.41/10.13 | (1589) all_0_51_51 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1 % 34.41/10.13 | % 34.41/10.13 +-Applying beta-rule and splitting (1589), into two cases. % 34.41/10.13 |-Branch one: % 34.41/10.13 | (1590) all_0_51_51 = e1 % 34.41/10.13 | % 34.41/10.13 | Equations (1590) can reduce 171 to: % 34.41/10.13 | (678) ~ (all_0_50_50 = e1) % 34.41/10.13 | % 34.41/10.13 | Equations (1590) can reduce 1504 to: % 34.41/10.13 | (605) ~ (e4 = e1) % 34.41/10.13 | % 34.41/10.13 | Simplifying 605 yields: % 34.41/10.13 | (247) ~ (e4 = e1) % 34.41/10.13 | % 34.41/10.13 | Equations (1590) can reduce 32 to: % 34.41/10.13 | (465) ~ (e3 = e1) % 34.41/10.13 | % 34.41/10.13 | Simplifying 465 yields: % 34.41/10.13 | (136) ~ (e3 = e1) % 34.41/10.13 | % 34.41/10.13 | From (1590) and (66) follows: % 34.41/10.13 | (16003) op(e2, e0) = e1 % 34.41/10.13 | % 34.41/10.13 +-Applying beta-rule and splitting (56), into two cases. % 34.41/10.13 |-Branch one: % 34.41/10.13 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 34.41/10.13 | % 34.41/10.13 +-Applying beta-rule and splitting (480), into two cases. % 34.41/10.13 |-Branch one: % 34.41/10.13 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 34.41/10.13 | % 34.41/10.13 +-Applying beta-rule and splitting (481), into two cases. % 34.41/10.13 |-Branch one: % 34.41/10.13 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 34.41/10.13 | % 34.41/10.13 +-Applying beta-rule and splitting (482), into two cases. % 34.41/10.13 |-Branch one: % 34.41/10.13 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 34.41/10.13 | % 34.41/10.13 | Applying alpha-rule on (483) yields: % 34.41/10.13 | (484) ~ (unit = e4) % 34.41/10.13 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 34.41/10.13 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 34.41/10.14 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 34.41/10.14 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 34.41/10.14 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 34.41/10.14 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 34.41/10.14 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 34.41/10.14 | (492) ~ (all_0_55_55 = e4) % 34.41/10.14 | (493) all_0_45_45 = e3 % 34.41/10.14 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 34.41/10.14 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 34.41/10.14 | % 34.41/10.14 +-Applying beta-rule and splitting (623), into two cases. % 34.41/10.14 |-Branch one: % 34.41/10.14 | (627) all_0_50_50 = e1 % 34.41/10.14 | % 34.41/10.14 | Equations (627) can reduce 678 to: % 34.41/10.14 | (303) $false % 34.41/10.14 | % 34.41/10.14 |-The branch is then unsatisfiable % 34.41/10.14 |-Branch two: % 34.41/10.14 | (678) ~ (all_0_50_50 = e1) % 34.41/10.14 | (600) all_0_59_59 = e1 % 34.41/10.14 | % 34.41/10.14 | Equations (600) can reduce 126 to: % 34.41/10.14 | (678) ~ (all_0_50_50 = e1) % 34.41/10.14 | % 34.41/10.14 | Equations (600) can reduce 42 to: % 34.41/10.14 | (587) ~ (all_0_56_56 = e1) % 34.41/10.14 | % 34.41/10.14 | Equations (600) can reduce 216 to: % 34.41/10.14 | (134) ~ (e1 = e0) % 34.41/10.14 | % 34.41/10.14 +-Applying beta-rule and splitting (243), into two cases. % 34.41/10.14 |-Branch one: % 34.41/10.14 | (877) all_0_56_56 = e4 % 34.41/10.14 | % 34.41/10.14 | Equations (877) can reduce 587 to: % 34.41/10.14 | (247) ~ (e4 = e1) % 34.41/10.14 | % 34.41/10.14 +-Applying beta-rule and splitting (722), into two cases. % 34.41/10.14 |-Branch one: % 34.41/10.14 | (714) all_0_50_50 = e4 % 34.41/10.14 | % 34.41/10.14 +-Applying beta-rule and splitting (488), into two cases. % 34.41/10.14 |-Branch one: % 34.41/10.14 | (611) ~ (all_0_50_50 = e4) % 34.41/10.14 | % 34.41/10.14 | Equations (714) can reduce 611 to: % 34.41/10.14 | (303) $false % 34.41/10.14 | % 34.41/10.14 |-The branch is then unsatisfiable % 34.41/10.14 |-Branch two: % 34.41/10.14 | (714) all_0_50_50 = e4 % 34.41/10.14 | (748) all_0_48_48 = e1 % 34.41/10.14 | % 34.41/10.14 | Combining equations (748,380) yields a new equation: % 34.41/10.14 | (670) e1 = e0 % 34.41/10.14 | % 34.41/10.14 | Simplifying 670 yields: % 34.41/10.14 | (590) e1 = e0 % 34.41/10.14 | % 34.41/10.14 | Equations (590) can reduce 134 to: % 34.41/10.14 | (303) $false % 34.41/10.14 | % 34.41/10.14 |-The branch is then unsatisfiable % 34.41/10.14 |-Branch two: % 34.41/10.14 | (611) ~ (all_0_50_50 = e4) % 34.41/10.14 | (1501) all_0_51_51 = e4 % 34.41/10.14 | % 34.41/10.14 | Combining equations (1590,1501) yields a new equation: % 34.41/10.14 | (541) e4 = e1 % 34.41/10.14 | % 34.41/10.14 | Equations (541) can reduce 247 to: % 34.41/10.14 | (303) $false % 34.41/10.14 | % 34.41/10.14 |-The branch is then unsatisfiable % 34.41/10.14 |-Branch two: % 34.41/10.14 | (345) ~ (all_0_56_56 = e4) % 34.41/10.14 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 34.41/10.14 | % 34.41/10.14 +-Applying beta-rule and splitting (722), into two cases. % 34.41/10.14 |-Branch one: % 34.41/10.14 | (714) all_0_50_50 = e4 % 34.41/10.14 | % 34.41/10.14 | Equations (714) can reduce 258 to: % 34.41/10.14 | (231) ~ (e4 = e2) % 34.41/10.14 | % 34.41/10.14 | Equations (714) can reduce 678 to: % 34.41/10.14 | (247) ~ (e4 = e1) % 34.41/10.14 | % 34.41/10.14 | Equations (714) can reduce 207 to: % 34.41/10.14 | (4) ~ (e4 = e0) % 34.41/10.14 | % 34.41/10.14 +-Applying beta-rule and splitting (4489), into two cases. % 34.41/10.14 |-Branch one: % 34.41/10.14 | (344) all_0_58_58 = e4 % 34.41/10.14 | % 34.41/10.14 | Combining equations (989,344) yields a new equation: % 34.41/10.14 | (654) e4 = e0 % 34.41/10.14 | % 34.41/10.14 | Equations (654) can reduce 4 to: % 34.41/10.14 | (303) $false % 34.41/10.14 | % 34.41/10.14 |-The branch is then unsatisfiable % 34.41/10.14 |-Branch two: % 34.41/10.14 | (3161) ~ (all_0_58_58 = e4) % 34.41/10.14 | (4996) all_0_59_59 = e4 | all_0_60_60 = e4 % 34.41/10.14 | % 34.41/10.14 +-Applying beta-rule and splitting (4996), into two cases. % 34.41/10.14 |-Branch one: % 34.41/10.14 | (717) all_0_59_59 = e4 % 34.41/10.14 | % 34.41/10.14 | Combining equations (600,717) yields a new equation: % 34.41/10.14 | (541) e4 = e1 % 34.41/10.14 | % 34.41/10.14 | Equations (541) can reduce 247 to: % 34.41/10.14 | (303) $false % 34.41/10.14 | % 34.41/10.14 |-The branch is then unsatisfiable % 34.41/10.14 |-Branch two: % 34.41/10.14 | (348) ~ (all_0_59_59 = e4) % 34.41/10.14 | (1510) all_0_60_60 = e4 % 34.41/10.14 | % 34.41/10.14 | Combining equations (913,1510) yields a new equation: % 34.41/10.14 | (470) e4 = e2 % 34.41/10.14 | % 34.41/10.14 | Equations (470) can reduce 231 to: % 34.41/10.14 | (303) $false % 34.41/10.14 | % 34.41/10.14 |-The branch is then unsatisfiable % 34.41/10.14 |-Branch two: % 34.41/10.14 | (611) ~ (all_0_50_50 = e4) % 34.41/10.14 | (1501) all_0_51_51 = e4 % 34.41/10.14 | % 34.41/10.14 | Combining equations (1590,1501) yields a new equation: % 34.41/10.14 | (541) e4 = e1 % 34.41/10.14 | % 34.41/10.14 | Equations (541) can reduce 247 to: % 34.41/10.14 | (303) $false % 34.41/10.14 | % 34.41/10.14 |-The branch is then unsatisfiable % 34.41/10.14 |-Branch two: % 34.41/10.14 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 34.41/10.14 | % 34.41/10.14 | Applying alpha-rule on (499) yields: % 34.41/10.14 | (500) ~ (all_0_51_51 = e1) % 34.41/10.14 | (501) ~ (all_0_60_60 = e1) % 34.41/10.14 | (502) ~ (all_0_52_52 = e1) % 34.41/10.14 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 34.41/10.14 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 34.41/10.14 | (252) all_0_46_46 = e2 % 34.41/10.14 | (506) ~ (all_0_49_49 = e1) % 34.41/10.14 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 34.41/10.14 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 34.41/10.14 | (509) ~ (all_0_53_53 = e1) % 34.41/10.14 | (510) ~ (unit = e1) % 34.41/10.14 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 34.41/10.14 | (512) ~ (all_0_44_44 = e1) % 34.41/10.14 | % 34.41/10.14 | Equations (462) can reduce 509 to: % 34.41/10.14 | (303) $false % 34.41/10.14 | % 34.41/10.14 |-The branch is then unsatisfiable % 34.41/10.14 |-Branch two: % 34.41/10.14 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 34.41/10.14 | % 34.41/10.14 | Applying alpha-rule on (514) yields: % 34.41/10.14 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 34.41/10.14 | (516) ~ (all_0_47_47 = e3) % 34.41/10.14 | (314) ~ (all_0_55_55 = e3) % 34.41/10.14 | (368) all_0_49_49 = e2 % 34.41/10.14 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 34.41/10.14 | (520) ~ (unit = e3) % 34.41/10.14 | (521) ~ (all_0_52_52 = e3) % 34.41/10.14 | (455) ~ (all_0_46_46 = e3) % 34.41/10.14 | (432) ~ (all_0_40_40 = e3) % 34.41/10.14 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 34.41/10.14 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 34.41/10.14 | (526) ~ (all_0_56_56 = e3) % 34.41/10.14 | % 34.41/10.14 | Equations (2165) can reduce 314 to: % 34.41/10.14 | (303) $false % 34.41/10.14 | % 34.41/10.14 |-The branch is then unsatisfiable % 34.41/10.14 |-Branch two: % 34.41/10.14 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 34.41/10.14 | % 34.41/10.14 | Applying alpha-rule on (528) yields: % 34.41/10.14 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 34.41/10.14 | (530) all_0_55_55 = e1 % 34.41/10.14 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 34.41/10.14 | (387) ~ (all_0_49_49 = e0) % 34.41/10.14 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 34.41/10.14 | (534) ~ (all_0_45_45 = e0) % 34.41/10.14 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 34.41/10.14 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 34.41/10.14 | (537) ~ (unit = e0) % 34.41/10.14 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 34.41/10.14 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 34.41/10.14 | % 34.41/10.14 | Combining equations (530,2165) yields a new equation: % 34.41/10.14 | (601) e3 = e1 % 34.41/10.14 | % 34.41/10.14 | Equations (601) can reduce 136 to: % 34.41/10.14 | (303) $false % 34.41/10.14 | % 34.41/10.14 |-The branch is then unsatisfiable % 34.41/10.14 |-Branch two: % 34.41/10.14 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 34.41/10.14 | % 34.41/10.14 | Applying alpha-rule on (543) yields: % 34.41/10.14 | (544) ~ (all_0_48_48 = e2) % 34.41/10.14 | (369) ~ (all_0_41_41 = e2) % 34.41/10.14 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 34.41/10.14 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 34.41/10.14 | (253) ~ (all_0_43_43 = e2) % 34.41/10.14 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 34.41/10.14 | (276) ~ (all_0_55_55 = e2) % 34.41/10.14 | (260) ~ (all_0_59_59 = e2) % 34.41/10.14 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 34.41/10.14 | (274) ~ (all_0_53_53 = e2) % 34.41/10.14 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 34.41/10.14 | (373) ~ (all_0_51_51 = e2) % 34.41/10.14 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 34.41/10.14 | (256) ~ (all_0_47_47 = e2) % 34.41/10.14 | (377) ~ (all_0_57_57 = e2) % 34.41/10.14 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 34.41/10.14 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 34.41/10.14 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 34.41/10.14 | (258) ~ (all_0_50_50 = e2) % 34.41/10.14 | (254) ~ (all_0_45_45 = e2) % 34.41/10.14 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 34.41/10.14 | % 34.41/10.14 +-Applying beta-rule and splitting (623), into two cases. % 34.41/10.14 |-Branch one: % 34.41/10.14 | (627) all_0_50_50 = e1 % 34.41/10.14 | % 34.41/10.14 | Equations (627) can reduce 678 to: % 34.41/10.14 | (303) $false % 34.41/10.14 | % 34.41/10.14 |-The branch is then unsatisfiable % 34.41/10.14 |-Branch two: % 34.41/10.14 | (678) ~ (all_0_50_50 = e1) % 34.41/10.14 | (600) all_0_59_59 = e1 % 34.41/10.14 | % 34.41/10.14 | Equations (600) can reduce 260 to: % 34.41/10.14 | (565) ~ (e2 = e1) % 34.41/10.14 | % 34.41/10.14 | Simplifying 565 yields: % 34.41/10.14 | (144) ~ (e2 = e1) % 34.41/10.14 | % 34.41/10.14 | Equations (600) can reduce 216 to: % 34.41/10.14 | (134) ~ (e1 = e0) % 34.41/10.14 | % 34.41/10.14 +-Applying beta-rule and splitting (547), into two cases. % 34.41/10.14 |-Branch one: % 34.41/10.14 | (571) ~ (all_0_60_60 = e2) % 34.41/10.14 | % 34.41/10.14 | Equations (913) can reduce 571 to: % 34.41/10.14 | (303) $false % 34.41/10.14 | % 34.41/10.14 |-The branch is then unsatisfiable % 34.41/10.14 |-Branch two: % 34.41/10.14 | (913) all_0_60_60 = e2 % 34.41/10.14 | (988) all_0_58_58 = e0 & ~ (unit = e2) % 34.41/10.14 | % 34.41/10.14 | Applying alpha-rule on (988) yields: % 34.41/10.14 | (989) all_0_58_58 = e0 % 34.41/10.14 | (599) ~ (unit = e2) % 34.41/10.14 | % 34.41/10.14 +-Applying beta-rule and splitting (62), into two cases. % 34.41/10.14 |-Branch one: % 34.41/10.14 | (631) unit = e2 % 34.41/10.14 | % 34.41/10.14 | Equations (631) can reduce 599 to: % 34.41/10.14 | (303) $false % 34.41/10.14 | % 34.41/10.14 |-The branch is then unsatisfiable % 34.41/10.14 |-Branch two: % 34.41/10.14 | (599) ~ (unit = e2) % 34.41/10.14 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 34.41/10.14 | % 34.41/10.14 +-Applying beta-rule and splitting (634), into two cases. % 34.41/10.14 |-Branch one: % 34.41/10.14 | (635) unit = e4 % 34.41/10.14 | % 34.41/10.14 | From (635) and (74) follows: % 34.41/10.14 | (637) op(e2, e4) = e2 % 34.41/10.14 | % 34.41/10.14 | From (635) and (190) follows: % 34.41/10.14 | (1178) op(e1, e4) = e1 % 34.41/10.14 | % 34.41/10.14 | Instantiating formula (29) with e2, e4, e2, e0 and discharging atoms op(e2, e4) = e2, op(e2, e4) = e0, yields: % 34.41/10.14 | (385) e2 = e0 % 34.41/10.14 | % 34.41/10.14 | Instantiating formula (29) with e1, e4, e1, e2 and discharging atoms op(e1, e4) = e2, op(e1, e4) = e1, yields: % 34.41/10.14 | (585) e2 = e1 % 34.41/10.14 | % 34.41/10.14 | Combining equations (385,585) yields a new equation: % 34.41/10.14 | (590) e1 = e0 % 34.41/10.14 | % 34.41/10.14 | Equations (590) can reduce 134 to: % 34.41/10.14 | (303) $false % 34.41/10.14 | % 34.41/10.14 |-The branch is then unsatisfiable % 34.41/10.14 |-Branch two: % 34.41/10.14 | (484) ~ (unit = e4) % 34.41/10.14 | (647) unit = e3 | unit = e1 | unit = e0 % 34.41/10.14 | % 34.41/10.14 +-Applying beta-rule and splitting (647), into two cases. % 34.41/10.14 |-Branch one: % 34.41/10.14 | (648) unit = e1 % 34.41/10.14 | % 34.41/10.14 | From (648) and (232) follows: % 34.41/10.14 | (650) op(e1, e3) = e3 % 34.41/10.14 | % 34.41/10.14 | From (648) and (189) follows: % 34.41/10.14 | (651) op(e1, e0) = e0 % 34.41/10.14 | % 34.41/10.14 | Instantiating formula (29) with e1, e3, e3, e1 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 34.41/10.14 | (601) e3 = e1 % 34.41/10.14 | % 34.41/10.14 | Instantiating formula (29) with e1, e0, e0, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e0, yields: % 34.41/10.14 | (497) e3 = e0 % 34.41/10.14 | % 34.41/10.14 | Combining equations (601,497) yields a new equation: % 34.41/10.14 | (670) e1 = e0 % 34.41/10.14 | % 34.41/10.14 | Simplifying 670 yields: % 34.41/10.14 | (590) e1 = e0 % 34.41/10.14 | % 34.41/10.14 | Equations (590) can reduce 134 to: % 34.41/10.14 | (303) $false % 34.41/10.14 | % 34.41/10.14 |-The branch is then unsatisfiable % 34.41/10.14 |-Branch two: % 34.41/10.14 | (510) ~ (unit = e1) % 34.41/10.14 | (659) unit = e3 | unit = e0 % 34.41/10.14 | % 34.41/10.14 +-Applying beta-rule and splitting (659), into two cases. % 34.41/10.14 |-Branch one: % 34.41/10.14 | (660) unit = e0 % 34.41/10.14 | % 34.41/10.14 | Equations (660) can reduce 510 to: % 34.41/10.14 | (661) ~ (e1 = e0) % 34.41/10.14 | % 34.41/10.14 | Simplifying 661 yields: % 34.41/10.14 | (134) ~ (e1 = e0) % 34.41/10.14 | % 34.41/10.14 | From (660) and (74) follows: % 34.41/10.14 | (664) op(e2, e0) = e2 % 34.41/10.14 | % 34.41/10.14 | From (660) and (111) follows: % 34.41/10.14 | (3633) op(e0, e0) = e0 % 34.41/10.14 | % 34.41/10.14 | Instantiating formula (29) with e2, e0, e2, e1 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e1, yields: % 34.41/10.14 | (585) e2 = e1 % 34.41/10.14 | % 34.41/10.14 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 34.41/10.14 | (385) e2 = e0 % 34.41/10.14 | % 34.41/10.14 | Combining equations (585,385) yields a new equation: % 34.41/10.14 | (670) e1 = e0 % 34.41/10.14 | % 34.41/10.14 | Simplifying 670 yields: % 34.41/10.14 | (590) e1 = e0 % 34.41/10.14 | % 34.41/10.14 | Equations (590) can reduce 134 to: % 34.41/10.14 | (303) $false % 34.41/10.14 | % 34.41/10.14 |-The branch is then unsatisfiable % 34.41/10.14 |-Branch two: % 34.41/10.14 | (537) ~ (unit = e0) % 34.41/10.14 | (674) unit = e3 % 34.41/10.14 | % 34.41/10.14 | From (674) and (38) follows: % 34.41/10.14 | (675) op(e3, e1) = e1 % 34.41/10.14 | % 34.41/10.14 | Instantiating formula (29) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 34.41/10.14 | (585) e2 = e1 % 34.41/10.14 | % 34.41/10.14 | Equations (585) can reduce 144 to: % 34.41/10.14 | (303) $false % 34.41/10.14 | % 34.41/10.14 |-The branch is then unsatisfiable % 34.41/10.14 |-Branch two: % 34.41/10.14 | (500) ~ (all_0_51_51 = e1) % 34.41/10.14 | (1594) all_0_55_55 = e1 | all_0_60_60 = e1 % 34.41/10.14 | % 34.41/10.14 +-Applying beta-rule and splitting (245), into two cases. % 34.41/10.14 |-Branch one: % 34.41/10.14 | (583) all_0_56_56 = e1 % 34.41/10.14 | % 34.41/10.14 | Equations (583) can reduce 587 to: % 34.41/10.14 | (303) $false % 34.41/10.14 | % 34.41/10.14 |-The branch is then unsatisfiable % 34.41/10.14 |-Branch two: % 34.41/10.14 | (587) ~ (all_0_56_56 = e1) % 34.41/10.14 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 34.41/10.14 | % 34.41/10.14 +-Applying beta-rule and splitting (228), into two cases. % 34.41/10.14 |-Branch one: % 34.41/10.14 | (748) all_0_48_48 = e1 % 34.41/10.14 | % 34.41/10.14 | Combining equations (380,748) yields a new equation: % 34.41/10.14 | (590) e1 = e0 % 34.41/10.14 | % 34.41/10.14 | Equations (590) can reduce 134 to: % 34.41/10.14 | (303) $false % 34.41/10.14 | % 34.41/10.14 |-The branch is then unsatisfiable % 34.41/10.14 |-Branch two: % 34.41/10.14 | (802) ~ (all_0_48_48 = e1) % 34.41/10.14 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 34.41/10.14 | % 34.41/10.14 +-Applying beta-rule and splitting (588), into two cases. % 34.41/10.14 |-Branch one: % 34.41/10.14 | (589) all_0_57_57 = e1 % 34.41/10.14 | % 34.41/10.14 | Combining equations (589,1001) yields a new equation: % 34.41/10.14 | (601) e3 = e1 % 34.41/10.14 | % 34.41/10.14 | Equations (601) can reduce 136 to: % 34.41/10.14 | (303) $false % 34.41/10.14 | % 34.41/10.14 |-The branch is then unsatisfiable % 34.41/10.14 |-Branch two: % 34.41/10.14 | (592) ~ (all_0_57_57 = e1) % 34.41/10.14 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 34.41/10.14 | % 34.41/10.14 +-Applying beta-rule and splitting (803), into two cases. % 34.41/10.14 |-Branch one: % 34.41/10.14 | (1580) all_0_49_49 = e1 % 34.41/10.14 | % 34.41/10.14 | Combining equations (368,1580) yields a new equation: % 34.41/10.14 | (584) e2 = e1 % 34.41/10.14 | % 34.41/10.14 | Simplifying 584 yields: % 34.41/10.14 | (585) e2 = e1 % 34.41/10.14 | % 34.41/10.14 | Equations (585) can reduce 144 to: % 34.41/10.14 | (303) $false % 34.41/10.14 | % 34.41/10.14 |-The branch is then unsatisfiable % 34.41/10.14 |-Branch two: % 34.41/10.14 | (506) ~ (all_0_49_49 = e1) % 34.41/10.14 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 34.41/10.14 | % 34.41/10.14 | Equations (368) can reduce 506 to: % 34.41/10.14 | (144) ~ (e2 = e1) % 34.41/10.14 | % 34.41/10.14 +-Applying beta-rule and splitting (593), into two cases. % 34.41/10.14 |-Branch one: % 34.41/10.14 | (600) all_0_59_59 = e1 % 34.41/10.14 | % 34.41/10.14 | Equations (600) can reduce 1031 to: % 34.41/10.14 | (465) ~ (e3 = e1) % 34.41/10.14 | % 34.41/10.14 | Simplifying 465 yields: % 34.41/10.14 | (136) ~ (e3 = e1) % 34.41/10.14 | % 34.41/10.14 | Equations (600) can reduce 260 to: % 34.41/10.14 | (565) ~ (e2 = e1) % 34.41/10.14 | % 34.41/10.14 | Simplifying 565 yields: % 34.41/10.14 | (144) ~ (e2 = e1) % 34.41/10.14 | % 34.41/10.14 +-Applying beta-rule and splitting (1594), into two cases. % 34.41/10.14 |-Branch one: % 34.41/10.14 | (530) all_0_55_55 = e1 % 34.41/10.14 | % 34.41/10.14 | Combining equations (530,2165) yields a new equation: % 34.41/10.14 | (601) e3 = e1 % 34.41/10.14 | % 34.41/10.14 | Equations (601) can reduce 136 to: % 34.41/10.14 | (303) $false % 34.41/10.14 | % 34.41/10.14 |-The branch is then unsatisfiable % 34.41/10.14 |-Branch two: % 34.41/10.14 | (464) ~ (all_0_55_55 = e1) % 34.41/10.14 | (604) all_0_60_60 = e1 % 34.41/10.14 | % 34.41/10.14 | Combining equations (913,604) yields a new equation: % 34.41/10.14 | (584) e2 = e1 % 34.41/10.14 | % 34.41/10.14 | Simplifying 584 yields: % 34.41/10.15 | (585) e2 = e1 % 34.41/10.15 | % 34.41/10.15 | Equations (585) can reduce 144 to: % 34.41/10.15 | (303) $false % 34.41/10.15 | % 34.41/10.15 |-The branch is then unsatisfiable % 34.41/10.15 |-Branch two: % 34.41/10.15 | (603) ~ (all_0_59_59 = e1) % 34.41/10.15 | (604) all_0_60_60 = e1 % 34.41/10.15 | % 34.41/10.15 | Combining equations (604,913) yields a new equation: % 34.41/10.15 | (585) e2 = e1 % 34.41/10.15 | % 34.41/10.15 | Equations (585) can reduce 144 to: % 34.41/10.15 | (303) $false % 34.41/10.15 | % 34.41/10.15 |-The branch is then unsatisfiable % 34.41/10.15 |-Branch two: % 34.41/10.15 | (683) ~ (all_0_40_40 = e1) % 34.41/10.15 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 34.41/10.15 | % 34.41/10.15 +-Applying beta-rule and splitting (722), into two cases. % 34.41/10.15 |-Branch one: % 34.41/10.15 | (714) all_0_50_50 = e4 % 34.41/10.15 | % 34.41/10.15 | Equations (714) can reduce 171 to: % 34.41/10.15 | (6435) ~ (all_0_51_51 = e4) % 34.41/10.15 | % 34.41/10.15 | Simplifying 6435 yields: % 34.41/10.15 | (1504) ~ (all_0_51_51 = e4) % 34.41/10.15 | % 34.41/10.15 +-Applying beta-rule and splitting (6448), into two cases. % 34.41/10.15 |-Branch one: % 34.41/10.15 | (1501) all_0_51_51 = e4 % 34.41/10.15 | % 34.41/10.15 | Equations (1501) can reduce 1504 to: % 34.41/10.15 | (303) $false % 34.41/10.15 | % 34.41/10.15 |-The branch is then unsatisfiable % 34.41/10.15 |-Branch two: % 34.41/10.15 | (1504) ~ (all_0_51_51 = e4) % 34.41/10.15 | (6452) all_0_51_51 = e1 | all_0_51_51 = e0 % 34.41/10.15 | % 34.41/10.15 +-Applying beta-rule and splitting (6452), into two cases. % 34.41/10.15 |-Branch one: % 34.41/10.15 | (1590) all_0_51_51 = e1 % 34.41/10.15 | % 34.41/10.15 | Equations (1590) can reduce 1504 to: % 34.41/10.15 | (605) ~ (e4 = e1) % 34.41/10.15 | % 34.41/10.15 | Simplifying 605 yields: % 34.41/10.15 | (247) ~ (e4 = e1) % 34.41/10.15 | % 34.41/10.15 | Equations (1590) can reduce 32 to: % 34.41/10.15 | (465) ~ (e3 = e1) % 34.41/10.15 | % 34.41/10.15 | Simplifying 465 yields: % 34.41/10.15 | (136) ~ (e3 = e1) % 34.41/10.15 | % 34.41/10.15 | Equations (1590) can reduce 2347 to: % 34.41/10.15 | (134) ~ (e1 = e0) % 34.41/10.15 | % 34.41/10.15 +-Applying beta-rule and splitting (688), into two cases. % 34.41/10.15 |-Branch one: % 34.41/10.15 | (696) all_0_41_41 = e1 % 34.41/10.15 | % 34.41/10.15 | Combining equations (696,398) yields a new equation: % 34.41/10.15 | (670) e1 = e0 % 34.41/10.15 | % 34.41/10.15 | Simplifying 670 yields: % 34.41/10.15 | (590) e1 = e0 % 34.41/10.15 | % 34.41/10.15 | Equations (590) can reduce 134 to: % 34.41/10.15 | (303) $false % 34.41/10.15 | % 34.41/10.15 |-The branch is then unsatisfiable % 34.41/10.15 |-Branch two: % 34.41/10.15 | (699) ~ (all_0_41_41 = e1) % 34.41/10.15 | (700) all_0_43_43 = e1 | all_0_44_44 = e1 % 34.41/10.15 | % 34.41/10.15 +-Applying beta-rule and splitting (700), into two cases. % 34.41/10.15 |-Branch one: % 34.41/10.15 | (618) all_0_43_43 = e1 % 34.41/10.15 | % 34.41/10.15 | Combining equations (447,618) yields a new equation: % 34.41/10.15 | (680) e3 = e1 % 34.41/10.15 | % 34.41/10.15 | Simplifying 680 yields: % 34.41/10.15 | (601) e3 = e1 % 34.41/10.15 | % 34.41/10.15 | Equations (601) can reduce 136 to: % 34.41/10.15 | (303) $false % 34.41/10.15 | % 34.41/10.15 |-The branch is then unsatisfiable % 34.41/10.15 |-Branch two: % 34.41/10.15 | (622) ~ (all_0_43_43 = e1) % 34.41/10.15 | (705) all_0_44_44 = e1 % 34.41/10.15 | % 34.41/10.15 | Combining equations (705,1096) yields a new equation: % 34.41/10.15 | (541) e4 = e1 % 34.41/10.15 | % 34.41/10.15 | Equations (541) can reduce 247 to: % 34.41/10.15 | (303) $false % 34.41/10.15 | % 34.41/10.15 |-The branch is then unsatisfiable % 34.41/10.15 |-Branch two: % 34.41/10.15 | (500) ~ (all_0_51_51 = e1) % 34.41/10.15 | (388) all_0_51_51 = e0 % 34.41/10.15 | % 34.41/10.15 | Equations (388) can reduce 2347 to: % 34.41/10.15 | (303) $false % 34.41/10.15 | % 34.41/10.15 |-The branch is then unsatisfiable % 34.41/10.15 |-Branch two: % 34.41/10.15 | (611) ~ (all_0_50_50 = e4) % 34.41/10.15 | (1501) all_0_51_51 = e4 % 34.41/10.15 | % 34.41/10.15 | Equations (1501) can reduce 1504 to: % 34.41/10.15 | (303) $false % 34.41/10.15 | % 34.41/10.15 |-The branch is then unsatisfiable % 34.41/10.15 |-Branch two: % 34.41/10.15 | (474) ~ (all_0_44_44 = e4) % 34.41/10.15 | (1500) all_0_51_51 = e4 | all_0_55_55 = e4 | all_0_60_60 = e4 % 34.41/10.15 | % 34.41/10.15 +-Applying beta-rule and splitting (1500), into two cases. % 34.41/10.15 |-Branch one: % 34.41/10.15 | (1501) all_0_51_51 = e4 % 34.41/10.15 | % 34.41/10.15 | Equations (1501) can reduce 161 to: % 34.41/10.15 | (474) ~ (all_0_44_44 = e4) % 34.41/10.15 | % 34.41/10.15 | Equations (1501) can reduce 171 to: % 34.41/10.15 | (611) ~ (all_0_50_50 = e4) % 34.41/10.15 | % 34.41/10.15 | Equations (1501) can reduce 32 to: % 34.41/10.15 | (30) ~ (e4 = e3) % 34.41/10.15 | % 34.41/10.15 | Equations (1501) can reduce 373 to: % 34.41/10.15 | (231) ~ (e4 = e2) % 34.41/10.15 | % 34.41/10.15 | From (1501) and (66) follows: % 34.41/10.15 | (10154) op(e2, e0) = e4 % 34.41/10.15 | % 34.41/10.15 +-Applying beta-rule and splitting (21), into two cases. % 34.41/10.15 |-Branch one: % 34.41/10.15 | (723) all_0_40_40 = e4 % 34.41/10.15 | % 34.41/10.15 | Equations (723) can reduce 57 to: % 34.41/10.15 | (2280) ~ (all_0_56_56 = e4) % 34.41/10.15 | % 34.41/10.15 | Simplifying 2280 yields: % 34.41/10.15 | (345) ~ (all_0_56_56 = e4) % 34.41/10.15 | % 34.41/10.15 +-Applying beta-rule and splitting (141), into two cases. % 34.41/10.15 |-Branch one: % 34.41/10.15 | (580) all_0_56_56 = e2 % 34.41/10.15 | % 34.41/10.15 | Equations (580) can reduce 594 to: % 34.41/10.15 | (303) $false % 34.41/10.15 | % 34.41/10.15 |-The branch is then unsatisfiable % 34.41/10.15 |-Branch two: % 34.41/10.15 | (594) ~ (all_0_56_56 = e2) % 34.41/10.15 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 34.41/10.15 | % 34.41/10.15 +-Applying beta-rule and splitting (243), into two cases. % 34.41/10.15 |-Branch one: % 34.41/10.15 | (877) all_0_56_56 = e4 % 34.41/10.15 | % 34.41/10.15 | Equations (877) can reduce 345 to: % 34.41/10.15 | (303) $false % 34.41/10.15 | % 34.41/10.15 |-The branch is then unsatisfiable % 34.41/10.15 |-Branch two: % 34.41/10.15 | (345) ~ (all_0_56_56 = e4) % 34.41/10.15 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 34.41/10.15 | % 34.41/10.15 +-Applying beta-rule and splitting (367), into two cases. % 34.41/10.15 |-Branch one: % 34.41/10.15 | (714) all_0_50_50 = e4 % 34.41/10.15 | % 34.41/10.15 | Equations (714) can reduce 611 to: % 34.41/10.15 | (303) $false % 34.41/10.15 | % 34.41/10.15 |-The branch is then unsatisfiable % 34.41/10.15 |-Branch two: % 34.41/10.15 | (611) ~ (all_0_50_50 = e4) % 34.41/10.15 | (627) all_0_50_50 = e1 % 34.41/10.15 | % 34.41/10.15 | Equations (627) can reduce 126 to: % 34.41/10.15 | (3274) ~ (all_0_59_59 = e1) % 34.41/10.15 | % 34.41/10.15 | Simplifying 3274 yields: % 34.41/10.15 | (603) ~ (all_0_59_59 = e1) % 34.41/10.15 | % 34.41/10.15 | Equations (627) can reduce 611 to: % 34.41/10.15 | (605) ~ (e4 = e1) % 34.41/10.15 | % 34.41/10.15 | Simplifying 605 yields: % 34.41/10.15 | (247) ~ (e4 = e1) % 34.41/10.15 | % 34.41/10.15 | Equations (627) can reduce 15 to: % 34.41/10.15 | (465) ~ (e3 = e1) % 34.41/10.15 | % 34.41/10.15 | Simplifying 465 yields: % 34.41/10.15 | (136) ~ (e3 = e1) % 34.41/10.15 | % 34.41/10.15 +-Applying beta-rule and splitting (245), into two cases. % 34.41/10.15 |-Branch one: % 34.41/10.15 | (583) all_0_56_56 = e1 % 34.41/10.15 | % 34.41/10.15 | Equations (583) can reduce 345 to: % 34.41/10.15 | (605) ~ (e4 = e1) % 34.41/10.15 | % 34.41/10.15 | Simplifying 605 yields: % 34.41/10.15 | (247) ~ (e4 = e1) % 34.41/10.15 | % 34.41/10.15 | Equations (583) can reduce 594 to: % 34.41/10.15 | (565) ~ (e2 = e1) % 34.41/10.15 | % 34.41/10.15 | Simplifying 565 yields: % 34.41/10.15 | (144) ~ (e2 = e1) % 34.41/10.15 | % 34.41/10.15 | Equations (583) can reduce 296 to: % 34.41/10.15 | (134) ~ (e1 = e0) % 34.41/10.15 | % 34.41/10.15 +-Applying beta-rule and splitting (713), into two cases. % 34.41/10.15 |-Branch one: % 34.41/10.15 | (714) all_0_50_50 = e4 % 34.41/10.15 | % 34.41/10.15 | Combining equations (627,714) yields a new equation: % 34.41/10.15 | (541) e4 = e1 % 34.41/10.15 | % 34.41/10.15 | Equations (541) can reduce 247 to: % 34.41/10.15 | (303) $false % 34.41/10.15 | % 34.41/10.15 |-The branch is then unsatisfiable % 34.41/10.15 |-Branch two: % 34.41/10.15 | (611) ~ (all_0_50_50 = e4) % 34.41/10.15 | (717) all_0_59_59 = e4 % 34.41/10.15 | % 34.41/10.15 | From (717) and (90) follows: % 34.41/10.15 | (3322) op(e0, e1) = e4 % 34.41/10.15 | % 34.41/10.15 +-Applying beta-rule and splitting (62), into two cases. % 34.41/10.15 |-Branch one: % 34.41/10.15 | (631) unit = e2 % 34.41/10.15 | % 34.41/10.15 | From (631) and (189) follows: % 34.41/10.15 | (397) op(e2, e0) = e0 % 34.41/10.15 | % 34.41/10.15 | From (631) and (190) follows: % 34.41/10.15 | (2716) op(e1, e2) = e1 % 34.41/10.15 | % 34.41/10.15 | Instantiating formula (29) with e2, e0, e0, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e0, yields: % 34.41/10.15 | (654) e4 = e0 % 34.41/10.15 | % 34.41/10.15 | Instantiating formula (29) with e1, e2, e1, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e1, yields: % 34.41/10.15 | (541) e4 = e1 % 34.41/10.15 | % 34.41/10.15 | Combining equations (654,541) yields a new equation: % 34.41/10.15 | (590) e1 = e0 % 34.41/10.15 | % 34.41/10.15 | Equations (590) can reduce 134 to: % 34.41/10.15 | (303) $false % 34.41/10.15 | % 34.41/10.15 |-The branch is then unsatisfiable % 34.41/10.15 |-Branch two: % 34.41/10.15 | (599) ~ (unit = e2) % 34.41/10.15 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 34.41/10.15 | % 34.41/10.15 +-Applying beta-rule and splitting (634), into two cases. % 34.41/10.15 |-Branch one: % 34.41/10.15 | (635) unit = e4 % 34.41/10.15 | % 34.41/10.15 | From (635) and (74) follows: % 34.41/10.15 | (637) op(e2, e4) = e2 % 34.41/10.15 | % 34.41/10.15 | From (635) and (190) follows: % 34.41/10.15 | (1178) op(e1, e4) = e1 % 34.41/10.15 | % 34.41/10.15 | Instantiating formula (29) with e2, e4, e2, e0 and discharging atoms op(e2, e4) = e2, op(e2, e4) = e0, yields: % 34.41/10.15 | (385) e2 = e0 % 34.41/10.15 | % 34.41/10.15 | Instantiating formula (29) with e1, e4, e1, e2 and discharging atoms op(e1, e4) = e2, op(e1, e4) = e1, yields: % 34.41/10.15 | (585) e2 = e1 % 34.41/10.15 | % 34.41/10.15 | Combining equations (385,585) yields a new equation: % 34.41/10.15 | (590) e1 = e0 % 34.41/10.15 | % 34.41/10.15 | Equations (590) can reduce 134 to: % 34.41/10.15 | (303) $false % 34.41/10.15 | % 34.41/10.15 |-The branch is then unsatisfiable % 34.41/10.15 |-Branch two: % 34.41/10.15 | (484) ~ (unit = e4) % 34.41/10.15 | (647) unit = e3 | unit = e1 | unit = e0 % 34.41/10.15 | % 34.41/10.15 +-Applying beta-rule and splitting (647), into two cases. % 34.41/10.15 |-Branch one: % 34.41/10.15 | (648) unit = e1 % 34.41/10.15 | % 34.41/10.15 | From (648) and (232) follows: % 34.41/10.15 | (650) op(e1, e3) = e3 % 34.41/10.15 | % 34.41/10.15 | From (648) and (130) follows: % 34.41/10.15 | (617) op(e4, e1) = e4 % 34.41/10.15 | % 34.41/10.15 | From (648) and (98) follows: % 34.41/10.15 | (1862) op(e3, e1) = e3 % 34.41/10.15 | % 34.41/10.15 | From (648) and (111) follows: % 34.41/10.15 | (770) op(e0, e1) = e0 % 34.41/10.15 | % 34.41/10.15 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 34.41/10.15 | (443) e4 = e3 % 34.41/10.15 | % 34.41/10.15 | Instantiating formula (29) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields: % 34.41/10.15 | (453) e3 = e2 % 34.41/10.15 | % 34.41/10.15 | Instantiating formula (29) with e1, e3, e3, e1 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 34.41/10.15 | (601) e3 = e1 % 34.41/10.15 | % 34.41/10.15 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 34.41/10.15 | (654) e4 = e0 % 34.41/10.15 | % 34.41/10.15 | Combining equations (443,654) yields a new equation: % 34.41/10.15 | (496) e3 = e0 % 34.41/10.15 | % 34.41/10.15 | Simplifying 496 yields: % 34.41/10.15 | (497) e3 = e0 % 34.41/10.15 | % 34.41/10.15 | Combining equations (601,453) yields a new equation: % 34.41/10.15 | (585) e2 = e1 % 34.41/10.15 | % 34.41/10.15 | Combining equations (497,453) yields a new equation: % 34.41/10.15 | (385) e2 = e0 % 34.41/10.15 | % 34.41/10.15 | Combining equations (585,385) yields a new equation: % 34.41/10.15 | (670) e1 = e0 % 34.41/10.15 | % 34.41/10.15 | Simplifying 670 yields: % 34.41/10.15 | (590) e1 = e0 % 34.41/10.15 | % 34.41/10.15 | Equations (590) can reduce 134 to: % 34.41/10.15 | (303) $false % 34.41/10.15 | % 34.41/10.15 |-The branch is then unsatisfiable % 34.41/10.15 |-Branch two: % 34.41/10.15 | (510) ~ (unit = e1) % 34.41/10.15 | (659) unit = e3 | unit = e0 % 34.41/10.15 | % 34.41/10.15 +-Applying beta-rule and splitting (659), into two cases. % 34.41/10.15 |-Branch one: % 34.41/10.15 | (660) unit = e0 % 34.41/10.15 | % 34.41/10.15 | Equations (660) can reduce 510 to: % 34.41/10.15 | (661) ~ (e1 = e0) % 34.41/10.15 | % 34.41/10.15 | Simplifying 661 yields: % 34.41/10.15 | (134) ~ (e1 = e0) % 34.41/10.15 | % 34.41/10.15 | From (660) and (38) follows: % 34.41/10.15 | (2749) op(e0, e1) = e1 % 34.41/10.15 | % 34.41/10.15 | From (660) and (74) follows: % 34.41/10.15 | (664) op(e2, e0) = e2 % 34.41/10.15 | % 34.41/10.15 | From (660) and (111) follows: % 34.41/10.15 | (3633) op(e0, e0) = e0 % 34.41/10.15 | % 34.41/10.15 | Instantiating formula (29) with e2, e0, e2, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e2, yields: % 34.41/10.15 | (470) e4 = e2 % 34.41/10.15 | % 34.41/10.15 | Instantiating formula (29) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields: % 34.41/10.15 | (541) e4 = e1 % 34.41/10.15 | % 34.41/10.15 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 34.41/10.15 | (385) e2 = e0 % 34.41/10.15 | % 34.41/10.15 | Combining equations (470,541) yields a new equation: % 34.41/10.15 | (584) e2 = e1 % 34.41/10.15 | % 34.41/10.15 | Simplifying 584 yields: % 34.41/10.15 | (585) e2 = e1 % 34.41/10.15 | % 34.41/10.15 | Combining equations (385,585) yields a new equation: % 34.41/10.15 | (590) e1 = e0 % 34.41/10.15 | % 34.41/10.15 | Equations (590) can reduce 134 to: % 34.41/10.15 | (303) $false % 34.41/10.15 | % 34.41/10.15 |-The branch is then unsatisfiable % 34.41/10.15 |-Branch two: % 34.41/10.15 | (537) ~ (unit = e0) % 34.41/10.15 | (674) unit = e3 % 34.41/10.15 | % 34.41/10.15 | From (674) and (38) follows: % 34.41/10.15 | (675) op(e3, e1) = e1 % 34.41/10.15 | % 34.41/10.15 | Instantiating formula (29) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 34.41/10.15 | (585) e2 = e1 % 34.41/10.15 | % 34.41/10.15 | Equations (585) can reduce 144 to: % 34.41/10.15 | (303) $false % 34.41/10.15 | % 34.41/10.15 |-The branch is then unsatisfiable % 34.41/10.15 |-Branch two: % 34.41/10.15 | (587) ~ (all_0_56_56 = e1) % 34.41/10.15 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 34.41/10.15 | % 34.41/10.15 +-Applying beta-rule and splitting (713), into two cases. % 34.41/10.15 |-Branch one: % 34.41/10.15 | (714) all_0_50_50 = e4 % 34.41/10.15 | % 34.41/10.15 | Combining equations (627,714) yields a new equation: % 34.41/10.15 | (541) e4 = e1 % 34.41/10.15 | % 34.41/10.15 | Equations (541) can reduce 247 to: % 34.41/10.15 | (303) $false % 34.41/10.15 | % 34.41/10.15 |-The branch is then unsatisfiable % 34.41/10.15 |-Branch two: % 34.41/10.15 | (611) ~ (all_0_50_50 = e4) % 34.41/10.15 | (717) all_0_59_59 = e4 % 34.41/10.15 | % 34.41/10.15 | Equations (717) can reduce 603 to: % 34.41/10.15 | (247) ~ (e4 = e1) % 34.41/10.15 | % 34.41/10.15 +-Applying beta-rule and splitting (56), into two cases. % 34.41/10.15 |-Branch one: % 34.41/10.15 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 34.41/10.15 | % 34.41/10.15 +-Applying beta-rule and splitting (480), into two cases. % 34.41/10.15 |-Branch one: % 34.41/10.15 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 34.41/10.16 | % 34.41/10.16 +-Applying beta-rule and splitting (481), into two cases. % 34.41/10.16 |-Branch one: % 34.41/10.16 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 34.41/10.16 | % 34.41/10.16 +-Applying beta-rule and splitting (482), into two cases. % 34.41/10.16 |-Branch one: % 34.41/10.16 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 34.41/10.16 | % 34.41/10.16 | Applying alpha-rule on (483) yields: % 34.41/10.16 | (484) ~ (unit = e4) % 34.41/10.16 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 34.41/10.16 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 34.41/10.16 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 34.41/10.16 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 34.41/10.16 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 34.41/10.16 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 34.41/10.16 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 34.41/10.16 | (492) ~ (all_0_55_55 = e4) % 34.41/10.16 | (493) all_0_45_45 = e3 % 34.41/10.16 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 34.41/10.16 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 34.41/10.16 | % 34.41/10.16 +-Applying beta-rule and splitting (490), into two cases. % 34.41/10.16 |-Branch one: % 34.41/10.16 | (348) ~ (all_0_59_59 = e4) % 34.41/10.16 | % 34.41/10.16 | Equations (717) can reduce 348 to: % 34.41/10.16 | (303) $false % 34.41/10.16 | % 34.41/10.16 |-The branch is then unsatisfiable % 34.41/10.16 |-Branch two: % 34.41/10.16 | (717) all_0_59_59 = e4 % 34.41/10.16 | (583) all_0_56_56 = e1 % 34.41/10.16 | % 34.41/10.16 | Equations (583) can reduce 587 to: % 34.41/10.16 | (303) $false % 34.41/10.16 | % 34.41/10.16 |-The branch is then unsatisfiable % 34.41/10.16 |-Branch two: % 34.41/10.16 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 34.41/10.16 | % 34.41/10.16 | Applying alpha-rule on (499) yields: % 34.41/10.16 | (500) ~ (all_0_51_51 = e1) % 34.41/10.16 | (501) ~ (all_0_60_60 = e1) % 34.41/10.16 | (502) ~ (all_0_52_52 = e1) % 34.41/10.16 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 34.41/10.16 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 34.41/10.16 | (252) all_0_46_46 = e2 % 34.41/10.16 | (506) ~ (all_0_49_49 = e1) % 34.41/10.16 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 34.41/10.16 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 34.41/10.16 | (509) ~ (all_0_53_53 = e1) % 34.41/10.16 | (510) ~ (unit = e1) % 34.41/10.16 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 34.41/10.16 | (512) ~ (all_0_44_44 = e1) % 34.41/10.16 | % 34.41/10.16 | Equations (462) can reduce 509 to: % 34.41/10.16 | (303) $false % 34.41/10.16 | % 34.41/10.16 |-The branch is then unsatisfiable % 34.41/10.16 |-Branch two: % 34.41/10.16 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 34.41/10.16 | % 34.41/10.16 | Applying alpha-rule on (514) yields: % 34.41/10.16 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 34.41/10.16 | (516) ~ (all_0_47_47 = e3) % 34.41/10.16 | (314) ~ (all_0_55_55 = e3) % 34.41/10.16 | (368) all_0_49_49 = e2 % 34.41/10.16 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 34.41/10.16 | (520) ~ (unit = e3) % 34.41/10.16 | (521) ~ (all_0_52_52 = e3) % 34.41/10.16 | (455) ~ (all_0_46_46 = e3) % 34.41/10.16 | (432) ~ (all_0_40_40 = e3) % 34.41/10.16 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 34.41/10.16 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 34.41/10.16 | (526) ~ (all_0_56_56 = e3) % 34.41/10.16 | % 34.41/10.16 | Equations (2165) can reduce 314 to: % 34.41/10.16 | (303) $false % 34.41/10.16 | % 34.41/10.16 |-The branch is then unsatisfiable % 34.41/10.16 |-Branch two: % 34.41/10.16 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 34.41/10.16 | % 34.41/10.16 | Applying alpha-rule on (528) yields: % 34.41/10.16 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 34.41/10.16 | (530) all_0_55_55 = e1 % 34.41/10.16 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 34.41/10.16 | (387) ~ (all_0_49_49 = e0) % 34.41/10.16 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 34.41/10.16 | (534) ~ (all_0_45_45 = e0) % 34.41/10.16 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 34.41/10.16 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 34.41/10.16 | (537) ~ (unit = e0) % 34.41/10.16 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 34.41/10.16 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 34.41/10.16 | % 34.41/10.16 | Combining equations (2165,530) yields a new equation: % 34.41/10.16 | (680) e3 = e1 % 34.41/10.16 | % 34.41/10.16 | Simplifying 680 yields: % 34.41/10.16 | (601) e3 = e1 % 34.41/10.16 | % 34.41/10.16 | Equations (601) can reduce 136 to: % 34.41/10.16 | (303) $false % 34.41/10.16 | % 34.41/10.16 |-The branch is then unsatisfiable % 34.41/10.16 |-Branch two: % 34.41/10.16 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 34.41/10.16 | % 34.41/10.16 | Applying alpha-rule on (543) yields: % 34.41/10.16 | (544) ~ (all_0_48_48 = e2) % 34.41/10.16 | (369) ~ (all_0_41_41 = e2) % 34.41/10.16 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 34.41/10.16 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 34.41/10.16 | (253) ~ (all_0_43_43 = e2) % 34.41/10.16 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 34.41/10.16 | (276) ~ (all_0_55_55 = e2) % 34.41/10.16 | (260) ~ (all_0_59_59 = e2) % 34.41/10.16 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 34.41/10.16 | (274) ~ (all_0_53_53 = e2) % 34.41/10.16 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 34.41/10.16 | (373) ~ (all_0_51_51 = e2) % 34.41/10.16 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 34.41/10.16 | (256) ~ (all_0_47_47 = e2) % 34.41/10.16 | (377) ~ (all_0_57_57 = e2) % 34.41/10.16 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 34.41/10.16 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 34.41/10.16 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 34.41/10.16 | (258) ~ (all_0_50_50 = e2) % 34.41/10.16 | (254) ~ (all_0_45_45 = e2) % 34.41/10.16 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 34.41/10.16 | % 34.41/10.16 | Equations (462) can reduce 274 to: % 34.41/10.16 | (565) ~ (e2 = e1) % 34.41/10.16 | % 34.41/10.16 | Simplifying 565 yields: % 34.41/10.16 | (144) ~ (e2 = e1) % 34.41/10.16 | % 34.41/10.16 +-Applying beta-rule and splitting (588), into two cases. % 34.41/10.16 |-Branch one: % 34.41/10.16 | (589) all_0_57_57 = e1 % 34.41/10.16 | % 34.41/10.16 | Combining equations (1001,589) yields a new equation: % 34.41/10.16 | (680) e3 = e1 % 34.41/10.16 | % 34.41/10.16 | Simplifying 680 yields: % 34.41/10.16 | (601) e3 = e1 % 34.41/10.16 | % 34.41/10.16 | Equations (601) can reduce 136 to: % 34.41/10.16 | (303) $false % 34.41/10.16 | % 34.41/10.16 |-The branch is then unsatisfiable % 34.41/10.16 |-Branch two: % 34.41/10.16 | (592) ~ (all_0_57_57 = e1) % 34.41/10.16 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 34.41/10.16 | % 34.41/10.16 +-Applying beta-rule and splitting (593), into two cases. % 34.41/10.16 |-Branch one: % 34.41/10.16 | (600) all_0_59_59 = e1 % 34.41/10.16 | % 34.41/10.16 | Combining equations (717,600) yields a new equation: % 34.41/10.16 | (540) e4 = e1 % 34.41/10.16 | % 34.41/10.16 | Simplifying 540 yields: % 34.41/10.16 | (541) e4 = e1 % 34.41/10.16 | % 34.41/10.16 | Equations (541) can reduce 247 to: % 34.41/10.16 | (303) $false % 34.41/10.16 | % 34.41/10.16 |-The branch is then unsatisfiable % 34.41/10.16 |-Branch two: % 34.41/10.16 | (603) ~ (all_0_59_59 = e1) % 34.41/10.16 | (604) all_0_60_60 = e1 % 34.41/10.16 | % 34.41/10.16 | Combining equations (913,604) yields a new equation: % 34.41/10.16 | (584) e2 = e1 % 34.41/10.16 | % 34.41/10.16 | Simplifying 584 yields: % 34.41/10.16 | (585) e2 = e1 % 34.41/10.16 | % 34.41/10.16 | Equations (585) can reduce 144 to: % 34.41/10.16 | (303) $false % 34.41/10.16 | % 34.41/10.16 |-The branch is then unsatisfiable % 34.41/10.16 |-Branch two: % 34.41/10.16 | (844) ~ (all_0_40_40 = e4) % 34.41/10.16 | (6577) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 34.41/10.16 | % 34.41/10.16 +-Applying beta-rule and splitting (6577), into two cases. % 34.41/10.16 |-Branch one: % 34.41/10.16 | (3175) all_0_42_42 = e4 % 34.41/10.16 | % 34.41/10.16 | Combining equations (3175,959) yields a new equation: % 34.41/10.16 | (878) e4 = e2 % 34.41/10.16 | % 34.41/10.16 | Simplifying 878 yields: % 34.41/10.16 | (470) e4 = e2 % 34.41/10.16 | % 34.41/10.16 | Equations (470) can reduce 231 to: % 34.41/10.16 | (303) $false % 34.41/10.16 | % 34.41/10.16 |-The branch is then unsatisfiable % 34.41/10.16 |-Branch two: % 34.41/10.16 | (6245) ~ (all_0_42_42 = e4) % 34.41/10.16 | (6600) all_0_43_43 = e4 | all_0_44_44 = e4 % 34.41/10.16 | % 34.41/10.16 +-Applying beta-rule and splitting (6600), into two cases. % 34.41/10.16 |-Branch one: % 34.41/10.16 | (614) all_0_43_43 = e4 % 34.41/10.16 | % 34.41/10.16 | Combining equations (447,614) yields a new equation: % 34.41/10.16 | (443) e4 = e3 % 34.41/10.16 | % 34.41/10.16 | Equations (443) can reduce 30 to: % 34.41/10.16 | (303) $false % 34.41/10.16 | % 34.41/10.16 |-The branch is then unsatisfiable % 34.41/10.16 |-Branch two: % 34.41/10.16 | (712) ~ (all_0_43_43 = e4) % 34.41/10.16 | (1096) all_0_44_44 = e4 % 34.41/10.16 | % 34.41/10.16 | Equations (1096) can reduce 474 to: % 34.41/10.16 | (303) $false % 34.41/10.16 | % 34.41/10.16 |-The branch is then unsatisfiable % 34.41/10.16 |-Branch two: % 34.41/10.16 | (1504) ~ (all_0_51_51 = e4) % 34.41/10.16 | (1505) all_0_55_55 = e4 | all_0_60_60 = e4 % 34.41/10.16 | % 34.41/10.16 +-Applying beta-rule and splitting (722), into two cases. % 34.41/10.16 |-Branch one: % 34.41/10.16 | (714) all_0_50_50 = e4 % 34.41/10.16 | % 34.41/10.16 | Equations (714) can reduce 126 to: % 34.41/10.16 | (347) ~ (all_0_59_59 = e4) % 34.41/10.16 | % 34.41/10.16 | Simplifying 347 yields: % 34.41/10.16 | (348) ~ (all_0_59_59 = e4) % 34.41/10.16 | % 34.41/10.16 | Equations (714) can reduce 207 to: % 34.41/10.16 | (4) ~ (e4 = e0) % 34.41/10.16 | % 34.41/10.16 +-Applying beta-rule and splitting (228), into two cases. % 34.41/10.16 |-Branch one: % 34.41/10.16 | (748) all_0_48_48 = e1 % 34.41/10.16 | % 34.41/10.16 | Combining equations (380,748) yields a new equation: % 34.41/10.16 | (590) e1 = e0 % 34.41/10.16 | % 34.41/10.16 | Equations (590) can reduce 134 to: % 34.41/10.16 | (303) $false % 34.41/10.16 | % 34.41/10.16 |-The branch is then unsatisfiable % 34.41/10.16 |-Branch two: % 34.41/10.16 | (802) ~ (all_0_48_48 = e1) % 34.41/10.16 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 34.41/10.16 | % 34.41/10.16 | Equations (380) can reduce 802 to: % 34.41/10.16 | (661) ~ (e1 = e0) % 34.41/10.16 | % 34.41/10.16 | Simplifying 661 yields: % 34.41/10.16 | (134) ~ (e1 = e0) % 34.41/10.16 | % 34.41/10.16 +-Applying beta-rule and splitting (243), into two cases. % 34.41/10.16 |-Branch one: % 34.41/10.16 | (877) all_0_56_56 = e4 % 34.41/10.16 | % 34.41/10.16 | Equations (877) can reduce 526 to: % 34.41/10.16 | (30) ~ (e4 = e3) % 34.41/10.16 | % 34.41/10.16 | Equations (877) can reduce 594 to: % 34.41/10.16 | (231) ~ (e4 = e2) % 34.41/10.16 | % 34.41/10.16 +-Applying beta-rule and splitting (56), into two cases. % 34.41/10.16 |-Branch one: % 34.41/10.16 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 34.41/10.16 | % 34.41/10.16 +-Applying beta-rule and splitting (480), into two cases. % 34.41/10.16 |-Branch one: % 34.41/10.16 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 34.41/10.16 | % 34.41/10.16 +-Applying beta-rule and splitting (481), into two cases. % 34.41/10.16 |-Branch one: % 34.41/10.16 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 34.41/10.16 | % 34.41/10.16 +-Applying beta-rule and splitting (482), into two cases. % 34.41/10.16 |-Branch one: % 34.41/10.16 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 34.41/10.16 | % 34.41/10.16 | Applying alpha-rule on (483) yields: % 34.41/10.16 | (484) ~ (unit = e4) % 34.41/10.16 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 34.41/10.16 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 34.41/10.16 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 34.41/10.16 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 34.41/10.16 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 34.41/10.16 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 34.41/10.16 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 34.41/10.16 | (492) ~ (all_0_55_55 = e4) % 34.41/10.16 | (493) all_0_45_45 = e3 % 34.41/10.16 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 34.41/10.16 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 34.41/10.16 | % 34.41/10.16 | Equations (2165) can reduce 492 to: % 34.41/10.16 | (439) ~ (e4 = e3) % 34.41/10.16 | % 34.41/10.16 | Simplifying 439 yields: % 34.41/10.16 | (30) ~ (e4 = e3) % 34.41/10.16 | % 34.41/10.16 +-Applying beta-rule and splitting (1505), into two cases. % 34.41/10.16 |-Branch one: % 34.41/10.16 | (473) all_0_55_55 = e4 % 34.41/10.16 | % 34.41/10.16 | Combining equations (2165,473) yields a new equation: % 34.41/10.16 | (443) e4 = e3 % 34.41/10.16 | % 34.41/10.16 | Equations (443) can reduce 30 to: % 34.41/10.16 | (303) $false % 34.41/10.16 | % 34.41/10.16 |-The branch is then unsatisfiable % 34.41/10.16 |-Branch two: % 34.41/10.16 | (492) ~ (all_0_55_55 = e4) % 34.41/10.16 | (1510) all_0_60_60 = e4 % 34.41/10.16 | % 34.41/10.16 | Combining equations (1510,913) yields a new equation: % 34.41/10.16 | (878) e4 = e2 % 34.41/10.16 | % 34.41/10.16 | Simplifying 878 yields: % 34.41/10.16 | (470) e4 = e2 % 34.41/10.16 | % 34.41/10.16 | Equations (470) can reduce 231 to: % 34.41/10.16 | (303) $false % 34.41/10.16 | % 34.41/10.16 |-The branch is then unsatisfiable % 34.41/10.16 |-Branch two: % 34.41/10.16 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 34.41/10.16 | % 34.41/10.16 | Applying alpha-rule on (499) yields: % 34.41/10.16 | (500) ~ (all_0_51_51 = e1) % 34.41/10.16 | (501) ~ (all_0_60_60 = e1) % 34.41/10.16 | (502) ~ (all_0_52_52 = e1) % 34.41/10.16 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 34.41/10.16 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 34.41/10.16 | (252) all_0_46_46 = e2 % 34.41/10.16 | (506) ~ (all_0_49_49 = e1) % 34.41/10.16 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 34.41/10.16 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 34.41/10.16 | (509) ~ (all_0_53_53 = e1) % 34.41/10.16 | (510) ~ (unit = e1) % 34.41/10.16 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 34.41/10.16 | (512) ~ (all_0_44_44 = e1) % 34.41/10.16 | % 34.41/10.16 | Equations (462) can reduce 509 to: % 34.41/10.16 | (303) $false % 34.41/10.16 | % 34.41/10.16 |-The branch is then unsatisfiable % 34.41/10.16 |-Branch two: % 34.41/10.16 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 34.41/10.16 | % 34.41/10.16 | Applying alpha-rule on (514) yields: % 34.41/10.16 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 34.41/10.16 | (516) ~ (all_0_47_47 = e3) % 34.41/10.16 | (314) ~ (all_0_55_55 = e3) % 34.41/10.16 | (368) all_0_49_49 = e2 % 34.41/10.17 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 34.41/10.17 | (520) ~ (unit = e3) % 34.41/10.17 | (521) ~ (all_0_52_52 = e3) % 34.41/10.17 | (455) ~ (all_0_46_46 = e3) % 34.41/10.17 | (432) ~ (all_0_40_40 = e3) % 34.41/10.17 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 34.41/10.17 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 34.41/10.17 | (526) ~ (all_0_56_56 = e3) % 34.41/10.17 | % 34.41/10.17 | Equations (2165) can reduce 314 to: % 34.41/10.17 | (303) $false % 34.41/10.17 | % 34.41/10.17 |-The branch is then unsatisfiable % 34.41/10.17 |-Branch two: % 34.41/10.17 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 34.41/10.17 | % 34.41/10.17 | Applying alpha-rule on (528) yields: % 34.41/10.17 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 34.41/10.17 | (530) all_0_55_55 = e1 % 34.41/10.17 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 34.41/10.17 | (387) ~ (all_0_49_49 = e0) % 34.41/10.17 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 34.41/10.17 | (534) ~ (all_0_45_45 = e0) % 34.41/10.17 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 34.41/10.17 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 34.41/10.17 | (537) ~ (unit = e0) % 34.41/10.17 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 34.41/10.17 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 34.41/10.17 | % 34.41/10.17 | Combining equations (2165,530) yields a new equation: % 34.41/10.17 | (680) e3 = e1 % 34.41/10.17 | % 34.41/10.17 | Simplifying 680 yields: % 34.41/10.17 | (601) e3 = e1 % 34.41/10.17 | % 34.41/10.17 | Equations (601) can reduce 136 to: % 34.41/10.17 | (303) $false % 34.41/10.17 | % 34.41/10.17 |-The branch is then unsatisfiable % 34.41/10.17 |-Branch two: % 34.41/10.17 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 34.41/10.17 | % 34.41/10.17 | Applying alpha-rule on (543) yields: % 34.41/10.17 | (544) ~ (all_0_48_48 = e2) % 34.41/10.17 | (369) ~ (all_0_41_41 = e2) % 34.41/10.17 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 34.41/10.17 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 34.41/10.17 | (253) ~ (all_0_43_43 = e2) % 34.41/10.17 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 34.41/10.17 | (276) ~ (all_0_55_55 = e2) % 34.41/10.17 | (260) ~ (all_0_59_59 = e2) % 34.41/10.17 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 34.41/10.17 | (274) ~ (all_0_53_53 = e2) % 34.41/10.17 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 34.41/10.17 | (373) ~ (all_0_51_51 = e2) % 34.41/10.17 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 34.41/10.17 | (256) ~ (all_0_47_47 = e2) % 34.41/10.17 | (377) ~ (all_0_57_57 = e2) % 34.41/10.17 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 34.41/10.17 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 34.41/10.17 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 34.41/10.17 | (258) ~ (all_0_50_50 = e2) % 34.41/10.17 | (254) ~ (all_0_45_45 = e2) % 34.41/10.17 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 34.41/10.17 | % 34.41/10.17 | Equations (714) can reduce 258 to: % 34.41/10.17 | (231) ~ (e4 = e2) % 34.41/10.17 | % 34.41/10.17 +-Applying beta-rule and splitting (1505), into two cases. % 34.41/10.17 |-Branch one: % 34.41/10.17 | (473) all_0_55_55 = e4 % 34.41/10.17 | % 34.41/10.17 | Combining equations (2165,473) yields a new equation: % 34.41/10.17 | (443) e4 = e3 % 34.41/10.17 | % 34.41/10.17 | Equations (443) can reduce 30 to: % 34.41/10.17 | (303) $false % 34.41/10.17 | % 34.41/10.17 |-The branch is then unsatisfiable % 34.41/10.17 |-Branch two: % 34.41/10.17 | (492) ~ (all_0_55_55 = e4) % 34.41/10.17 | (1510) all_0_60_60 = e4 % 34.41/10.17 | % 34.41/10.17 | Combining equations (1510,913) yields a new equation: % 34.41/10.17 | (878) e4 = e2 % 34.41/10.17 | % 34.41/10.17 | Simplifying 878 yields: % 34.41/10.17 | (470) e4 = e2 % 34.41/10.17 | % 34.41/10.17 | Equations (470) can reduce 231 to: % 34.41/10.17 | (303) $false % 34.41/10.17 | % 34.41/10.17 |-The branch is then unsatisfiable % 34.41/10.17 |-Branch two: % 34.41/10.17 | (345) ~ (all_0_56_56 = e4) % 34.41/10.17 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 34.41/10.17 | % 34.41/10.17 +-Applying beta-rule and splitting (56), into two cases. % 34.41/10.17 |-Branch one: % 34.41/10.17 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 34.41/10.17 | % 34.41/10.17 +-Applying beta-rule and splitting (480), into two cases. % 34.41/10.17 |-Branch one: % 34.41/10.17 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 34.41/10.17 | % 34.41/10.17 +-Applying beta-rule and splitting (481), into two cases. % 34.41/10.17 |-Branch one: % 34.41/10.17 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 34.41/10.17 | % 34.41/10.17 +-Applying beta-rule and splitting (482), into two cases. % 34.41/10.17 |-Branch one: % 34.41/10.17 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 34.41/10.17 | % 34.41/10.17 | Applying alpha-rule on (483) yields: % 34.41/10.17 | (484) ~ (unit = e4) % 34.41/10.17 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 34.41/10.17 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 34.41/10.17 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 34.41/10.17 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 34.41/10.17 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 34.41/10.17 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 34.41/10.17 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 34.41/10.17 | (492) ~ (all_0_55_55 = e4) % 34.41/10.17 | (493) all_0_45_45 = e3 % 34.41/10.17 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 34.41/10.17 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 34.41/10.17 | % 34.41/10.17 +-Applying beta-rule and splitting (488), into two cases. % 34.41/10.17 |-Branch one: % 34.41/10.17 | (611) ~ (all_0_50_50 = e4) % 34.41/10.17 | % 34.41/10.17 | Equations (714) can reduce 611 to: % 34.41/10.17 | (303) $false % 34.41/10.17 | % 34.41/10.17 |-The branch is then unsatisfiable % 34.41/10.17 |-Branch two: % 34.41/10.17 | (714) all_0_50_50 = e4 % 34.41/10.17 | (748) all_0_48_48 = e1 % 34.41/10.17 | % 34.41/10.17 | Combining equations (380,748) yields a new equation: % 34.41/10.17 | (590) e1 = e0 % 34.41/10.17 | % 34.41/10.17 | Equations (590) can reduce 134 to: % 34.41/10.17 | (303) $false % 34.41/10.17 | % 34.41/10.17 |-The branch is then unsatisfiable % 34.41/10.17 |-Branch two: % 34.41/10.17 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 34.41/10.17 | % 34.41/10.17 | Applying alpha-rule on (499) yields: % 34.41/10.17 | (500) ~ (all_0_51_51 = e1) % 34.41/10.17 | (501) ~ (all_0_60_60 = e1) % 34.41/10.17 | (502) ~ (all_0_52_52 = e1) % 34.41/10.17 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 34.41/10.17 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 34.41/10.17 | (252) all_0_46_46 = e2 % 34.41/10.17 | (506) ~ (all_0_49_49 = e1) % 34.41/10.17 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 34.41/10.17 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 34.41/10.17 | (509) ~ (all_0_53_53 = e1) % 34.41/10.17 | (510) ~ (unit = e1) % 34.41/10.17 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 34.41/10.17 | (512) ~ (all_0_44_44 = e1) % 34.41/10.17 | % 34.41/10.17 | Equations (462) can reduce 509 to: % 34.41/10.17 | (303) $false % 34.41/10.17 | % 34.41/10.17 |-The branch is then unsatisfiable % 34.41/10.17 |-Branch two: % 34.41/10.17 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 34.41/10.17 | % 34.41/10.17 | Applying alpha-rule on (514) yields: % 34.41/10.17 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 34.41/10.17 | (516) ~ (all_0_47_47 = e3) % 34.41/10.17 | (314) ~ (all_0_55_55 = e3) % 34.41/10.17 | (368) all_0_49_49 = e2 % 34.41/10.17 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 34.41/10.17 | (520) ~ (unit = e3) % 34.41/10.17 | (521) ~ (all_0_52_52 = e3) % 34.41/10.17 | (455) ~ (all_0_46_46 = e3) % 34.41/10.17 | (432) ~ (all_0_40_40 = e3) % 34.41/10.17 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 34.41/10.17 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 34.41/10.17 | (526) ~ (all_0_56_56 = e3) % 34.41/10.17 | % 34.41/10.17 | Equations (2165) can reduce 314 to: % 34.41/10.17 | (303) $false % 34.41/10.17 | % 34.41/10.17 |-The branch is then unsatisfiable % 34.41/10.17 |-Branch two: % 34.41/10.17 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 34.41/10.17 | % 34.41/10.17 | Applying alpha-rule on (528) yields: % 34.41/10.17 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 34.41/10.17 | (530) all_0_55_55 = e1 % 34.41/10.17 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 34.41/10.17 | (387) ~ (all_0_49_49 = e0) % 34.41/10.17 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 34.41/10.17 | (534) ~ (all_0_45_45 = e0) % 34.41/10.17 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 34.41/10.17 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 34.41/10.17 | (537) ~ (unit = e0) % 34.41/10.17 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 34.41/10.17 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 34.41/10.17 | % 34.41/10.17 | Combining equations (2165,530) yields a new equation: % 34.41/10.17 | (680) e3 = e1 % 34.41/10.17 | % 34.41/10.17 | Simplifying 680 yields: % 34.41/10.17 | (601) e3 = e1 % 34.41/10.17 | % 34.41/10.17 | Equations (601) can reduce 136 to: % 34.41/10.17 | (303) $false % 34.41/10.17 | % 34.41/10.17 |-The branch is then unsatisfiable % 34.41/10.17 |-Branch two: % 34.41/10.17 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 34.41/10.17 | % 34.41/10.17 | Applying alpha-rule on (543) yields: % 34.41/10.17 | (544) ~ (all_0_48_48 = e2) % 34.41/10.17 | (369) ~ (all_0_41_41 = e2) % 34.41/10.17 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 34.41/10.17 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 34.41/10.17 | (253) ~ (all_0_43_43 = e2) % 34.41/10.17 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 34.41/10.17 | (276) ~ (all_0_55_55 = e2) % 34.41/10.17 | (260) ~ (all_0_59_59 = e2) % 34.41/10.17 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 34.41/10.17 | (274) ~ (all_0_53_53 = e2) % 34.41/10.17 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 34.41/10.17 | (373) ~ (all_0_51_51 = e2) % 34.41/10.17 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 34.41/10.17 | (256) ~ (all_0_47_47 = e2) % 34.41/10.17 | (377) ~ (all_0_57_57 = e2) % 34.41/10.17 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 34.41/10.17 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 34.41/10.17 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 34.41/10.17 | (258) ~ (all_0_50_50 = e2) % 34.41/10.17 | (254) ~ (all_0_45_45 = e2) % 34.41/10.17 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 34.41/10.17 | % 34.41/10.17 | Equations (714) can reduce 258 to: % 34.41/10.17 | (231) ~ (e4 = e2) % 34.41/10.17 | % 34.41/10.17 +-Applying beta-rule and splitting (547), into two cases. % 34.41/10.17 |-Branch one: % 34.41/10.17 | (571) ~ (all_0_60_60 = e2) % 34.41/10.17 | % 34.41/10.17 | Equations (913) can reduce 571 to: % 34.41/10.17 | (303) $false % 34.41/10.17 | % 34.41/10.17 |-The branch is then unsatisfiable % 34.41/10.17 |-Branch two: % 34.41/10.17 | (913) all_0_60_60 = e2 % 34.41/10.17 | (988) all_0_58_58 = e0 & ~ (unit = e2) % 34.41/10.17 | % 34.41/10.17 | Applying alpha-rule on (988) yields: % 34.41/10.17 | (989) all_0_58_58 = e0 % 34.41/10.17 | (599) ~ (unit = e2) % 34.41/10.17 | % 34.41/10.17 +-Applying beta-rule and splitting (4489), into two cases. % 34.41/10.17 |-Branch one: % 34.41/10.17 | (344) all_0_58_58 = e4 % 34.41/10.17 | % 34.41/10.17 | Combining equations (989,344) yields a new equation: % 34.41/10.17 | (654) e4 = e0 % 34.41/10.17 | % 34.41/10.17 | Equations (654) can reduce 4 to: % 34.41/10.17 | (303) $false % 34.41/10.17 | % 34.41/10.17 |-The branch is then unsatisfiable % 34.41/10.17 |-Branch two: % 34.41/10.17 | (3161) ~ (all_0_58_58 = e4) % 34.41/10.17 | (4996) all_0_59_59 = e4 | all_0_60_60 = e4 % 34.41/10.17 | % 34.41/10.17 +-Applying beta-rule and splitting (4996), into two cases. % 34.41/10.17 |-Branch one: % 34.41/10.17 | (717) all_0_59_59 = e4 % 34.41/10.17 | % 34.41/10.17 | Equations (717) can reduce 348 to: % 34.41/10.17 | (303) $false % 34.41/10.17 | % 34.41/10.17 |-The branch is then unsatisfiable % 34.41/10.17 |-Branch two: % 34.41/10.17 | (348) ~ (all_0_59_59 = e4) % 34.41/10.17 | (1510) all_0_60_60 = e4 % 34.41/10.17 | % 34.41/10.17 | Combining equations (1510,913) yields a new equation: % 34.41/10.17 | (878) e4 = e2 % 34.41/10.17 | % 34.41/10.17 | Simplifying 878 yields: % 34.41/10.17 | (470) e4 = e2 % 34.41/10.17 | % 34.41/10.17 | Equations (470) can reduce 231 to: % 34.41/10.17 | (303) $false % 34.41/10.17 | % 34.41/10.17 |-The branch is then unsatisfiable % 34.41/10.17 |-Branch two: % 34.41/10.17 | (611) ~ (all_0_50_50 = e4) % 34.41/10.17 | (1501) all_0_51_51 = e4 % 34.41/10.17 | % 34.41/10.17 | Equations (1501) can reduce 1504 to: % 34.41/10.17 | (303) $false % 34.41/10.17 | % 34.41/10.17 |-The branch is then unsatisfiable % 34.41/10.17 |-Branch two: % 34.41/10.17 | (314) ~ (all_0_55_55 = e3) % 34.41/10.17 | (1937) all_0_60_60 = e3 % 34.41/10.17 | % 34.41/10.17 | Combining equations (913,1937) yields a new equation: % 34.41/10.17 | (453) e3 = e2 % 34.41/10.17 | % 34.41/10.17 | Equations (453) can reduce 223 to: % 34.41/10.17 | (303) $false % 34.41/10.17 | % 34.41/10.17 |-The branch is then unsatisfiable % 34.41/10.17 |-Branch two: % 34.41/10.17 | (509) ~ (all_0_53_53 = e1) % 34.41/10.17 | (589) all_0_57_57 = e1 % 34.41/10.17 | % 34.41/10.17 | Combining equations (1001,589) yields a new equation: % 34.41/10.17 | (680) e3 = e1 % 34.41/10.17 | % 34.41/10.17 | Simplifying 680 yields: % 34.41/10.17 | (601) e3 = e1 % 34.41/10.17 | % 34.41/10.17 | Equations (601) can reduce 136 to: % 34.41/10.17 | (303) $false % 34.41/10.17 | % 34.41/10.17 |-The branch is then unsatisfiable % 34.41/10.18 |-Branch two: % 34.41/10.18 | (2590) ~ (all_0_57_57 = e3) % 34.41/10.18 | (2977) all_0_59_59 = e3 | all_0_60_60 = e3 % 34.41/10.18 | % 34.41/10.18 +-Applying beta-rule and splitting (2977), into two cases. % 34.41/10.18 |-Branch one: % 34.41/10.18 | (456) all_0_59_59 = e3 % 34.41/10.18 | % 34.41/10.18 | Equations (456) can reduce 1031 to: % 34.41/10.18 | (303) $false % 34.41/10.18 | % 34.41/10.18 |-The branch is then unsatisfiable % 34.41/10.18 |-Branch two: % 34.41/10.18 | (1031) ~ (all_0_59_59 = e3) % 34.41/10.18 | (1937) all_0_60_60 = e3 % 34.41/10.18 | % 34.41/10.18 | Combining equations (913,1937) yields a new equation: % 34.41/10.18 | (453) e3 = e2 % 34.41/10.18 | % 34.41/10.18 | Equations (453) can reduce 223 to: % 34.41/10.18 | (303) $false % 34.41/10.18 | % 34.41/10.18 |-The branch is then unsatisfiable % 34.41/10.18 |-Branch two: % 34.41/10.18 | (434) ~ (all_0_43_43 = e3) % 34.41/10.18 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 34.41/10.18 | % 34.41/10.18 +-Applying beta-rule and splitting (450), into two cases. % 34.41/10.18 |-Branch one: % 34.41/10.18 | (451) all_0_46_46 = e3 % 34.41/10.18 | % 34.41/10.18 | Combining equations (252,451) yields a new equation: % 34.41/10.18 | (453) e3 = e2 % 34.41/10.18 | % 34.41/10.18 | Equations (453) can reduce 223 to: % 34.41/10.18 | (303) $false % 34.41/10.18 | % 34.41/10.18 |-The branch is then unsatisfiable % 34.41/10.18 |-Branch two: % 34.41/10.18 | (455) ~ (all_0_46_46 = e3) % 34.41/10.18 | (456) all_0_59_59 = e3 % 34.41/10.18 | % 34.41/10.18 | Equations (456) can reduce 222 to: % 34.41/10.18 | (2590) ~ (all_0_57_57 = e3) % 34.41/10.18 | % 34.41/10.18 | From (456) and (33) follows: % 34.41/10.18 | (5473) op(e3, e1) = all_0_38_38 % 34.41/10.18 | % 34.41/10.18 | From (456) and (16) follows: % 34.41/10.18 | (10905) op(e3, e0) = all_0_37_37 % 34.41/10.18 | % 34.41/10.18 +-Applying beta-rule and splitting (250), into two cases. % 34.41/10.18 |-Branch one: % 34.41/10.18 | (897) all_0_57_57 = e2 % 34.41/10.18 | % 34.41/10.18 | Equations (897) can reduce 377 to: % 34.41/10.18 | (303) $false % 34.41/10.18 | % 34.41/10.18 |-The branch is then unsatisfiable % 34.41/10.18 |-Branch two: % 34.41/10.18 | (377) ~ (all_0_57_57 = e2) % 34.41/10.18 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 34.41/10.18 | % 34.41/10.18 +-Applying beta-rule and splitting (2652), into two cases. % 34.41/10.18 |-Branch one: % 34.41/10.18 | (589) all_0_57_57 = e1 % 34.41/10.18 | % 34.41/10.18 | Combining equations (589,3248) yields a new equation: % 34.41/10.18 | (10851) all_0_2_2 = e1 % 34.41/10.18 | % 34.41/10.18 | Equations (589) can reduce 251 to: % 34.41/10.18 | (509) ~ (all_0_53_53 = e1) % 34.41/10.18 | % 34.41/10.18 | Equations (589) can reduce 172 to: % 34.41/10.18 | (587) ~ (all_0_56_56 = e1) % 34.41/10.18 | % 34.41/10.18 | From (589) and (35) follows: % 34.41/10.18 | (3953) op(e1, e3) = all_0_34_34 % 34.41/10.18 | % 34.41/10.18 +-Applying beta-rule and splitting (1073), into two cases. % 34.41/10.18 |-Branch one: % 34.41/10.18 | (462) all_0_53_53 = e1 % 34.41/10.18 | % 34.41/10.18 | Equations (462) can reduce 509 to: % 34.41/10.18 | (303) $false % 34.41/10.18 | % 34.41/10.18 |-The branch is then unsatisfiable % 34.41/10.18 |-Branch two: % 34.41/10.18 | (509) ~ (all_0_53_53 = e1) % 34.41/10.18 | (530) all_0_55_55 = e1 % 34.41/10.18 | % 34.41/10.18 | Equations (530) can reduce 59 to: % 34.41/10.18 | (512) ~ (all_0_44_44 = e1) % 34.41/10.18 | % 34.41/10.18 | Equations (530) can reduce 13 to: % 34.41/10.18 | (500) ~ (all_0_51_51 = e1) % 34.41/10.18 | % 34.41/10.18 | Equations (530) can reduce 131 to: % 34.41/10.18 | (509) ~ (all_0_53_53 = e1) % 34.41/10.18 | % 34.41/10.18 | Equations (530) can reduce 93 to: % 34.41/10.18 | (134) ~ (e1 = e0) % 34.41/10.18 | % 34.41/10.18 | From (530) and (155) follows: % 34.57/10.18 | (15517) op(e1, e1) = all_0_29_29 % 34.57/10.18 | % 34.57/10.18 +-Applying beta-rule and splitting (166), into two cases. % 34.57/10.18 |-Branch one: % 34.57/10.18 | (927) all_0_51_51 = e2 % 34.57/10.18 | % 34.57/10.18 | Equations (927) can reduce 373 to: % 34.57/10.18 | (303) $false % 34.57/10.18 | % 34.57/10.18 |-The branch is then unsatisfiable % 34.57/10.18 |-Branch two: % 34.57/10.18 | (373) ~ (all_0_51_51 = e2) % 34.57/10.18 | (6448) all_0_51_51 = e4 | all_0_51_51 = e1 | all_0_51_51 = e0 % 34.57/10.18 | % 34.57/10.18 +-Applying beta-rule and splitting (6448), into two cases. % 34.57/10.18 |-Branch one: % 34.57/10.18 | (1501) all_0_51_51 = e4 % 34.57/10.18 | % 34.57/10.18 | Equations (1501) can reduce 171 to: % 34.57/10.18 | (611) ~ (all_0_50_50 = e4) % 34.57/10.18 | % 34.57/10.18 | Equations (1501) can reduce 32 to: % 34.57/10.18 | (30) ~ (e4 = e3) % 34.57/10.18 | % 34.57/10.18 | From (1501) and (18) follows: % 34.57/10.18 | (8425) op(e4, e0) = all_0_22_22 % 34.57/10.18 | % 34.57/10.18 +-Applying beta-rule and splitting (139), into two cases. % 34.57/10.18 |-Branch one: % 34.57/10.18 | (614) all_0_43_43 = e4 % 34.57/10.18 | % 34.57/10.18 | Equations (614) can reduce 8 to: % 34.57/10.18 | (844) ~ (all_0_40_40 = e4) % 34.57/10.18 | % 34.57/10.18 | Equations (614) can reduce 82 to: % 34.57/10.18 | (1736) ~ (all_0_44_44 = e4) % 34.57/10.18 | % 34.57/10.18 | Simplifying 1736 yields: % 34.57/10.18 | (474) ~ (all_0_44_44 = e4) % 34.57/10.18 | % 34.57/10.18 | Equations (614) can reduce 238 to: % 34.57/10.18 | (610) ~ (all_0_50_50 = e4) % 34.57/10.18 | % 34.57/10.18 | Simplifying 610 yields: % 34.57/10.18 | (611) ~ (all_0_50_50 = e4) % 34.57/10.18 | % 34.57/10.18 | Equations (614) can reduce 253 to: % 34.57/10.18 | (231) ~ (e4 = e2) % 34.57/10.18 | % 34.57/10.18 | Equations (614) can reduce 117 to: % 34.57/10.18 | (4) ~ (e4 = e0) % 34.57/10.18 | % 34.57/10.18 | From (614) and (89) follows: % 34.57/10.18 | (18689) op(e4, e4) = all_0_5_5 % 34.57/10.18 | % 34.57/10.18 +-Applying beta-rule and splitting (195), into two cases. % 34.57/10.18 |-Branch one: % 34.57/10.18 | (2081) all_0_44_44 = e3 % 34.57/10.18 | % 34.57/10.18 | From (2081) and (128) follows: % 34.57/10.18 | (10831) op(e3, e0) = all_0_8_8 % 34.57/10.18 | % 34.57/10.18 | From (2081) and (107) follows: % 34.57/10.18 | (8330) op(e4, e0) = e3 % 34.57/10.18 | % 34.57/10.18 +-Applying beta-rule and splitting (196), into two cases. % 34.57/10.18 |-Branch one: % 34.57/10.18 | (723) all_0_40_40 = e4 % 34.57/10.18 | % 34.57/10.18 | Equations (723) can reduce 844 to: % 34.57/10.18 | (303) $false % 34.57/10.18 | % 34.57/10.18 |-The branch is then unsatisfiable % 34.57/10.18 |-Branch two: % 34.57/10.18 | (844) ~ (all_0_40_40 = e4) % 34.57/10.18 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 34.57/10.18 | % 34.57/10.18 +-Applying beta-rule and splitting (175), into two cases. % 34.57/10.18 |-Branch one: % 34.57/10.18 | (624) all_0_40_40 = e1 % 34.57/10.18 | % 34.57/10.18 | From (624) and (168) follows: % 34.57/10.18 | (18699) op(e4, e4) = e1 % 34.57/10.18 | % 34.57/10.18 +-Applying beta-rule and splitting (243), into two cases. % 34.57/10.18 |-Branch one: % 34.57/10.18 | (877) all_0_56_56 = e4 % 34.57/10.18 | % 34.57/10.18 | Combining equations (877,6399) yields a new equation: % 34.57/10.18 | (2623) all_0_16_16 = e4 % 34.57/10.18 | % 34.57/10.18 | Equations (877) can reduce 594 to: % 34.57/10.18 | (231) ~ (e4 = e2) % 34.57/10.18 | % 34.57/10.18 | Equations (877) can reduce 296 to: % 34.57/10.18 | (4) ~ (e4 = e0) % 34.57/10.18 | % 34.57/10.18 | From (877) and (185) follows: % 34.57/10.18 | (10915) op(e4, e4) = all_0_32_32 % 34.57/10.18 | % 34.57/10.18 +-Applying beta-rule and splitting (367), into two cases. % 34.57/10.18 |-Branch one: % 34.57/10.18 | (714) all_0_50_50 = e4 % 34.57/10.18 | % 34.57/10.18 | Equations (714) can reduce 611 to: % 34.57/10.18 | (303) $false % 34.57/10.18 | % 34.57/10.18 |-The branch is then unsatisfiable % 34.57/10.18 |-Branch two: % 34.57/10.18 | (611) ~ (all_0_50_50 = e4) % 34.57/10.18 | (627) all_0_50_50 = e1 % 34.57/10.18 | % 34.57/10.18 | Combining equations (627,268) yields a new equation: % 34.57/10.18 | (3272) all_0_12_12 = e1 % 34.57/10.18 | % 34.57/10.18 | Equations (627) can reduce 611 to: % 34.57/10.18 | (605) ~ (e4 = e1) % 34.57/10.18 | % 34.57/10.18 | Simplifying 605 yields: % 34.57/10.18 | (247) ~ (e4 = e1) % 34.57/10.18 | % 34.57/10.18 | Equations (627) can reduce 258 to: % 34.57/10.18 | (565) ~ (e2 = e1) % 34.57/10.18 | % 34.57/10.18 | Simplifying 565 yields: % 34.57/10.18 | (144) ~ (e2 = e1) % 34.57/10.18 | % 34.57/10.18 | Equations (627) can reduce 207 to: % 34.57/10.18 | (134) ~ (e1 = e0) % 34.57/10.18 | % 34.57/10.18 | From (627) and (110) follows: % 34.57/10.18 | (3278) op(e1, e1) = all_0_20_20 % 34.57/10.18 | % 34.57/10.18 +-Applying beta-rule and splitting (363), into two cases. % 34.57/10.18 |-Branch one: % 34.57/10.18 | (462) all_0_53_53 = e1 % 34.57/10.18 | % 34.57/10.18 | Equations (462) can reduce 509 to: % 34.57/10.18 | (303) $false % 34.57/10.18 | % 34.57/10.18 |-The branch is then unsatisfiable % 34.57/10.18 |-Branch two: % 34.57/10.18 | (509) ~ (all_0_53_53 = e1) % 34.57/10.18 | (994) all_0_53_53 = e3 % 34.57/10.18 | % 34.57/10.18 | Equations (994) can reduce 229 to: % 34.57/10.18 | (439) ~ (e4 = e3) % 34.57/10.18 | % 34.57/10.18 | Simplifying 439 yields: % 34.57/10.18 | (30) ~ (e4 = e3) % 34.57/10.18 | % 34.57/10.18 | Equations (994) can reduce 274 to: % 34.57/10.18 | (223) ~ (e3 = e2) % 34.57/10.18 | % 34.57/10.18 | Equations (994) can reduce 509 to: % 34.57/10.18 | (136) ~ (e3 = e1) % 34.57/10.18 | % 34.57/10.18 | Equations (994) can reduce 140 to: % 34.57/10.18 | (70) ~ (e3 = e0) % 34.57/10.18 | % 34.57/10.18 | From (994) and (242) follows: % 34.57/10.19 | (2592) op(e3, e3) = all_0_26_26 % 34.57/10.19 | % 34.57/10.19 | From (994) and (54) follows: % 34.57/10.19 | (2593) op(e3, e1) = all_0_25_25 % 34.57/10.19 | % 34.57/10.19 | From (994) and (224) follows: % 34.57/10.19 | (650) op(e1, e3) = e3 % 34.57/10.19 | % 34.57/10.19 | Instantiating formula (29) 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: % 34.57/10.19 | (22828) all_0_5_5 = all_0_32_32 % 34.57/10.19 | % 34.57/10.19 | Instantiating formula (29) with e4, e4, e1, all_0_5_5 and discharging atoms op(e4, e4) = all_0_5_5, op(e4, e4) = e1, yields: % 34.57/10.19 | (18747) all_0_5_5 = e1 % 34.57/10.19 | % 34.57/10.19 | Instantiating formula (29) with e4, e0, e3, all_0_22_22 and discharging atoms op(e4, e0) = all_0_22_22, op(e4, e0) = e3, yields: % 34.57/10.19 | (8451) all_0_22_22 = e3 % 34.57/10.19 | % 34.57/10.19 | Instantiating formula (29) with e3, e3, all_0_26_26, e4 and discharging atoms op(e3, e3) = all_0_26_26, op(e3, e3) = e4, yields: % 34.57/10.19 | (2620) all_0_26_26 = e4 % 34.57/10.19 | % 34.57/10.19 | Instantiating formula (29) with e3, e1, all_0_25_25, e2 and discharging atoms op(e3, e1) = all_0_25_25, op(e3, e1) = e2, yields: % 34.57/10.19 | (2621) all_0_25_25 = e2 % 34.57/10.19 | % 34.57/10.19 | Instantiating formula (29) with e3, e1, all_0_38_38, all_0_25_25 and discharging atoms op(e3, e1) = all_0_25_25, op(e3, e1) = all_0_38_38, yields: % 34.57/10.19 | (5540) all_0_25_25 = all_0_38_38 % 34.57/10.19 | % 34.57/10.19 | Instantiating formula (29) with e3, e0, all_0_8_8, e0 and discharging atoms op(e3, e0) = all_0_8_8, op(e3, e0) = e0, yields: % 34.57/10.19 | (10944) all_0_8_8 = e0 % 34.57/10.19 | % 34.57/10.19 | Instantiating formula (29) with e3, e0, all_0_37_37, all_0_8_8 and discharging atoms op(e3, e0) = all_0_8_8, op(e3, e0) = all_0_37_37, yields: % 34.57/10.19 | (4410) all_0_8_8 = all_0_37_37 % 34.57/10.19 | % 34.57/10.19 | Instantiating formula (29) with e1, e3, e3, all_0_34_34 and discharging atoms op(e1, e3) = all_0_34_34, op(e1, e3) = e3, yields: % 34.57/10.19 | (3957) all_0_34_34 = e3 % 34.57/10.19 | % 34.57/10.19 | Instantiating formula (29) with e1, e1, all_0_20_20, e0 and discharging atoms op(e1, e1) = all_0_20_20, op(e1, e1) = e0, yields: % 34.57/10.19 | (3327) all_0_20_20 = e0 % 34.57/10.19 | % 34.57/10.19 | Instantiating formula (29) with e1, e1, all_0_29_29, all_0_20_20 and discharging atoms op(e1, e1) = all_0_20_20, op(e1, e1) = all_0_29_29, yields: % 34.57/10.19 | (15601) all_0_20_20 = all_0_29_29 % 34.57/10.19 | % 34.57/10.19 | Combining equations (22828,18747) yields a new equation: % 34.57/10.19 | (22839) all_0_32_32 = e1 % 34.57/10.19 | % 34.57/10.19 | Simplifying 22839 yields: % 34.57/10.19 | (22840) all_0_32_32 = e1 % 34.57/10.19 | % 34.57/10.19 | Combining equations (10944,4410) yields a new equation: % 34.57/10.19 | (10949) all_0_37_37 = e0 % 34.57/10.19 | % 34.57/10.19 | Combining equations (3327,15601) yields a new equation: % 34.57/10.19 | (15604) all_0_29_29 = e0 % 34.57/10.19 | % 34.57/10.19 | Combining equations (2621,5540) yields a new equation: % 34.57/10.19 | (5549) all_0_38_38 = e2 % 34.57/10.19 | % 34.57/10.19 | Combining equations (15604,15601) yields a new equation: % 34.57/10.20 | (3327) all_0_20_20 = e0 % 34.57/10.20 | % 34.57/10.20 | Combining equations (10949,4410) yields a new equation: % 34.57/10.20 | (10944) all_0_8_8 = e0 % 34.57/10.20 | % 34.57/10.20 +-Applying beta-rule and splitting (181), into two cases. % 34.57/10.20 |-Branch one: % 34.57/10.20 | (3497) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_51_51 = all_0_58_58)) % 34.57/10.20 | % 34.57/10.20 +-Applying beta-rule and splitting (3497), into two cases. % 34.57/10.20 |-Branch one: % 34.57/10.20 | (3498) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57)) % 34.57/10.20 | % 34.57/10.20 +-Applying beta-rule and splitting (3498), into two cases. % 34.57/10.20 |-Branch one: % 34.57/10.20 | (3499) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) % 34.57/10.20 | % 34.57/10.20 +-Applying beta-rule and splitting (3499), into two cases. % 34.57/10.20 |-Branch one: % 34.57/10.20 | (3500) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) % 34.57/10.20 | % 34.57/10.20 +-Applying beta-rule and splitting (3500), into two cases. % 34.57/10.20 |-Branch one: % 34.57/10.20 | (3501) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) % 34.57/10.20 | % 34.57/10.20 +-Applying beta-rule and splitting (3501), into two cases. % 34.57/10.20 |-Branch one: % 34.57/10.20 | (3502) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) % 34.57/10.20 | % 34.57/10.20 +-Applying beta-rule and splitting (3502), into two cases. % 34.57/10.20 |-Branch one: % 34.57/10.20 | (3503) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) % 34.57/10.20 | % 34.57/10.20 +-Applying beta-rule and splitting (3503), into two cases. % 34.57/10.20 |-Branch one: % 34.57/10.20 | (3504) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) % 34.57/10.20 | % 34.57/10.20 +-Applying beta-rule and splitting (3504), into two cases. % 34.57/10.20 |-Branch one: % 34.57/10.20 | (3505) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) % 34.57/10.20 | % 34.57/10.20 +-Applying beta-rule and splitting (3505), into two cases. % 34.57/10.20 |-Branch one: % 34.57/10.20 | (3506) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) % 34.57/10.20 | % 34.57/10.20 +-Applying beta-rule and splitting (3506), into two cases. % 34.57/10.20 |-Branch one: % 34.57/10.20 | (3507) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) % 34.57/10.20 | % 34.57/10.20 +-Applying beta-rule and splitting (3507), into two cases. % 34.57/10.20 |-Branch one: % 34.57/10.20 | (3508) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) % 34.57/10.20 | % 34.57/10.20 +-Applying beta-rule and splitting (3508), into two cases. % 34.57/10.20 |-Branch one: % 34.57/10.20 | (3509) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) % 34.57/10.20 | % 34.57/10.20 +-Applying beta-rule and splitting (3509), into two cases. % 34.57/10.20 |-Branch one: % 34.57/10.20 | (3510) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) % 34.57/10.20 | % 34.57/10.20 +-Applying beta-rule and splitting (3510), into two cases. % 34.57/10.20 |-Branch one: % 34.57/10.20 | (3511) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) % 34.57/10.20 | % 34.57/10.20 +-Applying beta-rule and splitting (3511), into two cases. % 34.57/10.20 |-Branch one: % 34.57/10.20 | (3512) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) % 34.57/10.20 | % 34.57/10.20 +-Applying beta-rule and splitting (3512), into two cases. % 34.57/10.20 |-Branch one: % 34.57/10.20 | (3513) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) % 34.57/10.20 | % 34.57/10.20 +-Applying beta-rule and splitting (3513), into two cases. % 34.57/10.20 |-Branch one: % 34.57/10.20 | (3514) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45) % 34.57/10.20 | % 34.57/10.20 | Applying alpha-rule on (3514) yields: % 34.57/10.20 | (3515) all_0_2_2 = e4 % 34.57/10.20 | (3516) ~ (all_0_1_1 = e3) % 34.57/10.20 | (3517) ~ (all_0_41_41 = all_0_45_45) % 34.57/10.20 | % 34.57/10.20 | Combining equations (3515,10851) yields a new equation: % 34.57/10.20 | (540) e4 = e1 % 34.57/10.20 | % 34.57/10.20 | Simplifying 540 yields: % 34.57/10.20 | (541) e4 = e1 % 34.57/10.20 | % 34.57/10.20 | Equations (541) can reduce 247 to: % 34.57/10.20 | (303) $false % 34.57/10.20 | % 34.57/10.20 |-The branch is then unsatisfiable % 34.57/10.20 |-Branch two: % 34.57/10.20 | (3521) all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48) % 34.57/10.20 | % 34.57/10.20 | Applying alpha-rule on (3521) yields: % 34.57/10.20 | (356) all_0_4_4 = e4 % 34.57/10.20 | (3523) ~ (all_0_3_3 = e2) % 34.57/10.20 | (3524) ~ (all_0_42_42 = all_0_48_48) % 34.57/10.20 | % 34.57/10.20 | Combining equations (356,19370) yields a new equation: % 34.57/10.20 | (718) e4 = e3 % 34.57/10.20 | % 34.57/10.20 | Simplifying 718 yields: % 34.57/10.20 | (443) e4 = e3 % 34.57/10.20 | % 34.57/10.20 | Equations (443) can reduce 30 to: % 34.57/10.20 | (303) $false % 34.57/10.20 | % 34.57/10.20 |-The branch is then unsatisfiable % 34.57/10.20 |-Branch two: % 34.57/10.20 | (3526) all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52) % 34.57/10.20 | % 34.57/10.20 | Applying alpha-rule on (3526) yields: % 34.57/10.20 | (3527) all_0_6_6 = e4 % 34.57/10.20 | (3528) ~ (all_0_5_5 = e1) % 34.57/10.20 | (3529) ~ (all_0_43_43 = all_0_52_52) % 34.57/10.20 | % 34.57/10.20 | Equations (18747) can reduce 3528 to: % 34.57/10.20 | (303) $false % 34.57/10.20 | % 34.57/10.20 |-The branch is then unsatisfiable % 34.57/10.21 |-Branch two: % 34.57/10.21 | (3533) all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56) % 34.57/10.21 | % 34.57/10.21 | Applying alpha-rule on (3533) yields: % 34.57/10.21 | (3534) all_0_8_8 = e4 % 34.57/10.21 | (3535) ~ (all_0_7_7 = e0) % 34.57/10.21 | (3536) ~ (all_0_44_44 = all_0_56_56) % 34.57/10.21 | % 34.57/10.21 | Combining equations (3534,10944) yields a new equation: % 34.57/10.21 | (1573) e4 = e0 % 34.57/10.21 | % 34.57/10.21 | Simplifying 1573 yields: % 34.57/10.21 | (654) e4 = e0 % 34.57/10.21 | % 34.57/10.21 | Equations (654) can reduce 4 to: % 34.57/10.21 | (303) $false % 34.57/10.21 | % 34.57/10.21 |-The branch is then unsatisfiable % 34.57/10.21 |-Branch two: % 34.57/10.21 | (3538) all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45) % 34.57/10.21 | % 34.57/10.21 | Applying alpha-rule on (3538) yields: % 34.57/10.21 | (3539) all_0_10_10 = e3 % 34.57/10.21 | (3540) ~ (all_0_9_9 = e4) % 34.57/10.21 | (3517) ~ (all_0_41_41 = all_0_45_45) % 34.57/10.21 | % 34.57/10.21 | Equations (6284) can reduce 3540 to: % 34.57/10.21 | (303) $false % 34.57/10.21 | % 34.57/10.21 |-The branch is then unsatisfiable % 34.57/10.21 |-Branch two: % 34.57/10.21 | (3545) all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53) % 34.57/10.21 | % 34.57/10.21 | Applying alpha-rule on (3545) yields: % 34.57/10.21 | (3546) all_0_12_12 = e3 % 34.57/10.21 | (3547) ~ (all_0_11_11 = e1) % 34.57/10.21 | (3548) ~ (all_0_46_46 = all_0_53_53) % 34.57/10.21 | % 34.57/10.21 | Combining equations (3546,3272) yields a new equation: % 34.57/10.21 | (680) e3 = e1 % 34.57/10.21 | % 34.57/10.21 | Simplifying 680 yields: % 34.57/10.21 | (601) e3 = e1 % 34.57/10.21 | % 34.57/10.21 | Equations (601) can reduce 136 to: % 34.57/10.21 | (303) $false % 34.57/10.21 | % 34.57/10.21 |-The branch is then unsatisfiable % 34.57/10.21 |-Branch two: % 34.57/10.21 | (3552) all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57) % 34.57/10.21 | % 34.57/10.21 | Applying alpha-rule on (3552) yields: % 34.57/10.21 | (3553) all_0_14_14 = e3 % 34.57/10.21 | (3554) ~ (all_0_13_13 = e0) % 34.57/10.21 | (3555) ~ (all_0_47_47 = all_0_57_57) % 34.57/10.21 | % 34.57/10.21 | Combining equations (3553,10918) yields a new equation: % 34.57/10.21 | (452) e3 = e2 % 34.57/10.21 | % 34.57/10.21 | Simplifying 452 yields: % 34.57/10.21 | (453) e3 = e2 % 34.57/10.21 | % 34.57/10.21 | Equations (453) can reduce 223 to: % 34.57/10.21 | (303) $false % 34.57/10.21 | % 34.57/10.21 |-The branch is then unsatisfiable % 34.57/10.21 |-Branch two: % 34.57/10.21 | (3557) all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48) % 34.57/10.21 | % 34.57/10.21 | Applying alpha-rule on (3557) yields: % 34.57/10.21 | (3558) all_0_16_16 = e2 % 34.57/10.21 | (3559) ~ (all_0_15_15 = e4) % 34.57/10.21 | (3524) ~ (all_0_42_42 = all_0_48_48) % 34.57/10.21 | % 34.57/10.21 | Combining equations (3558,2623) yields a new equation: % 34.57/10.21 | (470) e4 = e2 % 34.57/10.21 | % 34.57/10.21 | Equations (470) can reduce 231 to: % 34.57/10.21 | (303) $false % 34.57/10.21 | % 34.57/10.21 |-The branch is then unsatisfiable % 34.57/10.21 |-Branch two: % 34.57/10.21 | (3562) all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1) % 34.57/10.21 | % 34.57/10.21 | Applying alpha-rule on (3562) yields: % 34.57/10.21 | (3563) all_0_18_18 = e2 % 34.57/10.21 | (3564) ~ (all_0_17_17 = e3) % 34.57/10.21 | (506) ~ (all_0_49_49 = e1) % 34.57/10.21 | % 34.57/10.21 | Equations (3246) can reduce 3564 to: % 34.57/10.21 | (303) $false % 34.57/10.21 | % 34.57/10.21 |-The branch is then unsatisfiable % 34.57/10.21 |-Branch two: % 34.57/10.21 | (3567) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54) % 34.57/10.21 | % 34.57/10.21 | Applying alpha-rule on (3567) yields: % 34.57/10.21 | (3568) all_0_20_20 = e2 % 34.57/10.21 | (3569) ~ (all_0_19_19 = e1) % 34.57/10.21 | (3570) ~ (all_0_50_50 = all_0_54_54) % 34.57/10.21 | % 34.57/10.21 | Combining equations (3568,3327) yields a new equation: % 34.57/10.21 | (403) e2 = e0 % 34.57/10.21 | % 34.57/10.21 | Simplifying 403 yields: % 34.57/10.21 | (385) e2 = e0 % 34.57/10.21 | % 34.57/10.21 | Equations (385) can reduce 51 to: % 34.57/10.21 | (303) $false % 34.57/10.21 | % 34.57/10.21 |-The branch is then unsatisfiable % 34.57/10.21 |-Branch two: % 34.57/10.21 | (3574) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58) % 34.57/10.21 | % 34.57/10.21 | Applying alpha-rule on (3574) yields: % 34.57/10.21 | (3575) all_0_22_22 = e2 % 34.57/10.21 | (3576) ~ (all_0_21_21 = e0) % 34.57/10.21 | (3577) ~ (all_0_51_51 = all_0_58_58) % 34.57/10.21 | % 34.57/10.21 | Combining equations (3575,8451) yields a new equation: % 34.57/10.21 | (453) e3 = e2 % 34.57/10.21 | % 34.57/10.21 | Equations (453) can reduce 223 to: % 34.57/10.21 | (303) $false % 34.57/10.21 | % 34.57/10.21 |-The branch is then unsatisfiable % 34.57/10.21 |-Branch two: % 34.57/10.21 | (3579) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52) % 34.57/10.21 | % 34.57/10.21 | Applying alpha-rule on (3579) yields: % 34.57/10.21 | (3580) all_0_24_24 = e1 % 34.57/10.21 | (3581) ~ (all_0_23_23 = e4) % 34.57/10.21 | (3529) ~ (all_0_43_43 = all_0_52_52) % 34.57/10.21 | % 34.57/10.21 | Combining equations (3580,3590) yields a new equation: % 34.57/10.21 | (670) e1 = e0 % 34.57/10.21 | % 34.57/10.21 | Simplifying 670 yields: % 34.57/10.21 | (590) e1 = e0 % 34.57/10.21 | % 34.57/10.21 | Equations (590) can reduce 134 to: % 34.57/10.21 | (303) $false % 34.57/10.21 | % 34.57/10.21 |-The branch is then unsatisfiable % 34.57/10.21 |-Branch two: % 34.57/10.21 | (3584) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53) % 34.57/10.21 | % 34.57/10.21 | Applying alpha-rule on (3584) yields: % 34.57/10.21 | (3585) all_0_26_26 = e1 % 34.57/10.21 | (3586) ~ (all_0_25_25 = e3) % 34.57/10.21 | (3548) ~ (all_0_46_46 = all_0_53_53) % 34.57/10.21 | % 34.57/10.21 | Combining equations (3585,2620) yields a new equation: % 34.57/10.21 | (541) e4 = e1 % 34.57/10.21 | % 34.57/10.21 | Equations (541) can reduce 247 to: % 34.57/10.21 | (303) $false % 34.57/10.21 | % 34.57/10.21 |-The branch is then unsatisfiable % 34.57/10.22 |-Branch two: % 34.57/10.22 | (3641) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54) % 34.57/10.22 | % 34.57/10.22 | Applying alpha-rule on (3641) yields: % 34.57/10.22 | (3642) all_0_28_28 = e1 % 34.57/10.22 | (3643) ~ (all_0_27_27 = e2) % 34.57/10.22 | (3570) ~ (all_0_50_50 = all_0_54_54) % 34.57/10.22 | % 34.57/10.22 | Combining equations (3642,19356) yields a new equation: % 34.57/10.22 | (585) e2 = e1 % 34.57/10.22 | % 34.57/10.22 | Equations (585) can reduce 144 to: % 34.57/10.22 | (303) $false % 34.57/10.22 | % 34.57/10.22 |-The branch is then unsatisfiable % 34.57/10.22 |-Branch two: % 34.57/10.22 | (3647) all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59) % 34.57/10.22 | % 34.57/10.22 | Applying alpha-rule on (3647) yields: % 34.57/10.22 | (3648) all_0_30_30 = e1 % 34.57/10.22 | (3649) ~ (all_0_29_29 = e0) % 34.57/10.22 | (3650) ~ (all_0_55_55 = all_0_59_59) % 34.57/10.22 | % 34.57/10.22 | Equations (15604) can reduce 3649 to: % 34.57/10.22 | (303) $false % 34.57/10.22 | % 34.57/10.22 |-The branch is then unsatisfiable % 34.57/10.22 |-Branch two: % 34.57/10.22 | (3652) all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56) % 34.57/10.22 | % 34.57/10.22 | Applying alpha-rule on (3652) yields: % 34.57/10.22 | (3653) all_0_32_32 = e0 % 34.57/10.22 | (3654) ~ (all_0_31_31 = e4) % 34.57/10.22 | (3536) ~ (all_0_44_44 = all_0_56_56) % 34.57/10.22 | % 34.57/10.22 | Combining equations (22840,3653) yields a new equation: % 34.57/10.22 | (670) e1 = e0 % 34.57/10.22 | % 34.57/10.22 | Simplifying 670 yields: % 34.57/10.22 | (590) e1 = e0 % 34.57/10.22 | % 34.57/10.22 | Equations (590) can reduce 134 to: % 34.57/10.22 | (303) $false % 34.57/10.22 | % 34.57/10.22 |-The branch is then unsatisfiable % 34.57/10.22 |-Branch two: % 34.57/10.22 | (3657) all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57) % 34.57/10.22 | % 34.57/10.22 | Applying alpha-rule on (3657) yields: % 34.57/10.22 | (421) all_0_34_34 = e0 % 34.57/10.22 | (3659) ~ (all_0_33_33 = e3) % 34.57/10.22 | (3555) ~ (all_0_47_47 = all_0_57_57) % 34.57/10.22 | % 34.57/10.22 | Combining equations (3957,421) yields a new equation: % 34.57/10.22 | (496) e3 = e0 % 34.57/10.22 | % 34.57/10.22 | Simplifying 496 yields: % 34.57/10.22 | (497) e3 = e0 % 34.57/10.22 | % 34.57/10.22 | Equations (497) can reduce 70 to: % 34.57/10.22 | (303) $false % 34.57/10.22 | % 34.57/10.22 |-The branch is then unsatisfiable % 34.57/10.22 |-Branch two: % 34.57/10.22 | (3662) all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_51_51 = all_0_58_58) % 34.57/10.22 | % 34.57/10.22 | Applying alpha-rule on (3662) yields: % 34.57/10.22 | (354) all_0_36_36 = e0 % 34.57/10.22 | (3664) ~ (all_0_35_35 = e2) % 34.57/10.22 | (3577) ~ (all_0_51_51 = all_0_58_58) % 34.57/10.22 | % 34.57/10.22 | Equations (10917) can reduce 3664 to: % 34.57/10.22 | (303) $false % 34.57/10.22 | % 34.57/10.22 |-The branch is then unsatisfiable % 34.57/10.22 |-Branch two: % 34.57/10.22 | (3667) all_0_38_38 = e0 & ~ (all_0_37_37 = e1) & ~ (all_0_55_55 = all_0_59_59) % 34.57/10.22 | % 34.57/10.22 | Applying alpha-rule on (3667) yields: % 34.57/10.22 | (3668) all_0_38_38 = e0 % 34.57/10.22 | (3669) ~ (all_0_37_37 = e1) % 34.57/10.22 | (3650) ~ (all_0_55_55 = all_0_59_59) % 34.57/10.22 | % 34.57/10.22 | Combining equations (5549,3668) yields a new equation: % 34.57/10.22 | (403) e2 = e0 % 34.57/10.22 | % 34.57/10.22 | Simplifying 403 yields: % 34.57/10.22 | (385) e2 = e0 % 34.57/10.22 | % 34.57/10.22 | Equations (385) can reduce 51 to: % 34.57/10.22 | (303) $false % 34.57/10.22 | % 34.57/10.22 |-The branch is then unsatisfiable % 34.57/10.22 |-Branch two: % 34.57/10.22 | (345) ~ (all_0_56_56 = e4) % 34.57/10.22 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 34.57/10.22 | % 34.57/10.22 +-Applying beta-rule and splitting (845), into two cases. % 34.57/10.22 |-Branch one: % 34.57/10.22 | (609) all_0_48_48 = e4 % 34.57/10.22 | % 34.57/10.22 | Combining equations (380,609) yields a new equation: % 34.57/10.22 | (654) e4 = e0 % 34.57/10.22 | % 34.57/10.22 | Equations (654) can reduce 4 to: % 34.57/10.22 | (303) $false % 34.57/10.22 | % 34.57/10.22 |-The branch is then unsatisfiable % 34.57/10.22 |-Branch two: % 34.57/10.22 | (721) ~ (all_0_48_48 = e4) % 34.57/10.22 | (871) all_0_52_52 = e4 | all_0_56_56 = e4 % 34.57/10.22 | % 34.57/10.22 +-Applying beta-rule and splitting (871), into two cases. % 34.57/10.22 |-Branch one: % 34.57/10.22 | (442) all_0_52_52 = e4 % 34.57/10.22 | % 34.57/10.22 | Combining equations (980,442) yields a new equation: % 34.57/10.22 | (470) e4 = e2 % 34.57/10.22 | % 34.57/10.22 | Equations (470) can reduce 231 to: % 34.57/10.22 | (303) $false % 34.57/10.22 | % 34.57/10.22 |-The branch is then unsatisfiable % 34.57/10.22 |-Branch two: % 34.57/10.22 | (445) ~ (all_0_52_52 = e4) % 34.57/10.22 | (877) all_0_56_56 = e4 % 34.57/10.22 | % 34.57/10.22 | Equations (877) can reduce 345 to: % 34.57/10.22 | (303) $false % 34.57/10.22 | % 34.57/10.22 |-The branch is then unsatisfiable % 34.57/10.22 |-Branch two: % 34.57/10.22 | (683) ~ (all_0_40_40 = e1) % 34.57/10.22 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 34.57/10.22 | % 34.57/10.22 +-Applying beta-rule and splitting (684), into two cases. % 34.57/10.22 |-Branch one: % 34.57/10.22 | (748) all_0_48_48 = e1 % 34.57/10.22 | % 34.57/10.22 | Combining equations (380,748) yields a new equation: % 34.57/10.22 | (590) e1 = e0 % 34.57/10.22 | % 34.57/10.22 | Equations (590) can reduce 134 to: % 34.57/10.22 | (303) $false % 34.57/10.22 | % 34.57/10.22 |-The branch is then unsatisfiable % 34.57/10.22 |-Branch two: % 34.57/10.22 | (802) ~ (all_0_48_48 = e1) % 34.57/10.22 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 34.57/10.22 | % 34.57/10.22 +-Applying beta-rule and splitting (367), into two cases. % 34.57/10.22 |-Branch one: % 34.57/10.22 | (714) all_0_50_50 = e4 % 34.57/10.22 | % 34.57/10.22 | Equations (714) can reduce 611 to: % 34.57/10.22 | (303) $false % 34.57/10.22 | % 34.57/10.22 |-The branch is then unsatisfiable % 34.57/10.22 |-Branch two: % 34.57/10.22 | (611) ~ (all_0_50_50 = e4) % 34.57/10.22 | (627) all_0_50_50 = e1 % 34.57/10.22 | % 34.57/10.22 | Equations (627) can reduce 258 to: % 34.57/10.22 | (565) ~ (e2 = e1) % 34.57/10.22 | % 34.57/10.22 | Simplifying 565 yields: % 34.57/10.22 | (144) ~ (e2 = e1) % 34.57/10.22 | % 34.57/10.22 +-Applying beta-rule and splitting (807), into two cases. % 34.57/10.22 |-Branch one: % 34.57/10.22 | (1070) all_0_52_52 = e1 % 34.57/10.22 | % 34.57/10.22 | Combining equations (980,1070) yields a new equation: % 34.57/10.22 | (584) e2 = e1 % 34.57/10.22 | % 34.57/10.22 | Simplifying 584 yields: % 34.57/10.22 | (585) e2 = e1 % 34.57/10.22 | % 34.57/10.22 | Equations (585) can reduce 144 to: % 34.57/10.22 | (303) $false % 34.57/10.22 | % 34.57/10.22 |-The branch is then unsatisfiable % 34.57/10.22 |-Branch two: % 34.57/10.22 | (502) ~ (all_0_52_52 = e1) % 34.57/10.22 | (583) all_0_56_56 = e1 % 34.57/10.22 | % 34.57/10.22 | Equations (583) can reduce 587 to: % 34.57/10.22 | (303) $false % 34.57/10.22 | % 34.57/10.22 |-The branch is then unsatisfiable % 34.57/10.22 |-Branch two: % 34.57/10.22 | (310) ~ (all_0_44_44 = e3) % 34.57/10.22 | (7006) all_0_47_47 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 34.57/10.22 | % 34.57/10.22 +-Applying beta-rule and splitting (87), into two cases. % 34.57/10.22 |-Branch one: % 34.57/10.22 | (572) all_0_44_44 = e2 % 34.57/10.22 | % 34.57/10.22 | Equations (572) can reduce 915 to: % 34.57/10.22 | (303) $false % 34.57/10.22 | % 34.57/10.22 |-The branch is then unsatisfiable % 34.57/10.22 |-Branch two: % 34.57/10.22 | (915) ~ (all_0_44_44 = e2) % 34.57/10.22 | (2069) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 34.57/10.22 | % 34.57/10.22 +-Applying beta-rule and splitting (2069), into two cases. % 34.57/10.22 |-Branch one: % 34.57/10.22 | (1096) all_0_44_44 = e4 % 34.57/10.22 | % 34.57/10.22 | Equations (1096) can reduce 474 to: % 34.57/10.22 | (303) $false % 34.57/10.22 | % 34.57/10.22 |-The branch is then unsatisfiable % 34.57/10.22 |-Branch two: % 34.57/10.22 | (474) ~ (all_0_44_44 = e4) % 34.57/10.22 | (2073) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 34.57/10.22 | % 34.57/10.22 +-Applying beta-rule and splitting (2073), into two cases. % 34.57/10.22 |-Branch one: % 34.57/10.22 | (705) all_0_44_44 = e1 % 34.57/10.22 | % 34.57/10.22 | Equations (705) can reduce 512 to: % 34.57/10.22 | (303) $false % 34.57/10.22 | % 34.57/10.22 |-The branch is then unsatisfiable % 34.57/10.22 |-Branch two: % 34.57/10.22 | (512) ~ (all_0_44_44 = e1) % 34.57/10.22 | (2077) all_0_44_44 = e3 | all_0_44_44 = e0 % 34.57/10.22 | % 34.57/10.22 +-Applying beta-rule and splitting (2077), into two cases. % 34.57/10.22 |-Branch one: % 34.57/10.22 | (2078) all_0_44_44 = e0 % 34.57/10.22 | % 34.57/10.22 | Equations (2078) can reduce 330 to: % 34.57/10.22 | (303) $false % 34.57/10.22 | % 34.57/10.22 |-The branch is then unsatisfiable % 34.57/10.22 |-Branch two: % 34.57/10.22 | (330) ~ (all_0_44_44 = e0) % 34.57/10.22 | (2081) all_0_44_44 = e3 % 34.57/10.22 | % 34.57/10.23 | Equations (2081) can reduce 310 to: % 34.57/10.23 | (303) $false % 34.57/10.23 | % 34.57/10.23 |-The branch is then unsatisfiable % 34.57/10.23 |-Branch two: % 34.57/10.23 | (712) ~ (all_0_43_43 = e4) % 34.57/10.23 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 34.57/10.23 | % 34.57/10.23 +-Applying beta-rule and splitting (713), into two cases. % 34.57/10.23 |-Branch one: % 34.57/10.23 | (714) all_0_50_50 = e4 % 34.57/10.23 | % 34.57/10.23 | Equations (714) can reduce 611 to: % 34.57/10.23 | (303) $false % 34.57/10.23 | % 34.57/10.23 |-The branch is then unsatisfiable % 34.57/10.23 |-Branch two: % 34.57/10.23 | (611) ~ (all_0_50_50 = e4) % 34.57/10.23 | (717) all_0_59_59 = e4 % 34.57/10.23 | % 34.57/10.23 | Combining equations (717,456) yields a new equation: % 34.57/10.23 | (718) e4 = e3 % 34.57/10.23 | % 34.57/10.23 | Simplifying 718 yields: % 34.57/10.23 | (443) e4 = e3 % 34.57/10.23 | % 34.57/10.23 | Equations (443) can reduce 30 to: % 34.57/10.23 | (303) $false % 34.57/10.23 | % 34.57/10.23 |-The branch is then unsatisfiable % 34.57/10.23 |-Branch two: % 34.57/10.23 | (1504) ~ (all_0_51_51 = e4) % 34.57/10.23 | (6452) all_0_51_51 = e1 | all_0_51_51 = e0 % 34.57/10.23 | % 34.57/10.23 +-Applying beta-rule and splitting (6452), into two cases. % 34.57/10.23 |-Branch one: % 34.57/10.23 | (1590) all_0_51_51 = e1 % 34.57/10.23 | % 34.57/10.23 | Equations (1590) can reduce 500 to: % 34.57/10.23 | (303) $false % 34.57/10.23 | % 34.57/10.23 |-The branch is then unsatisfiable % 34.57/10.23 |-Branch two: % 34.57/10.23 | (500) ~ (all_0_51_51 = e1) % 34.57/10.23 | (388) all_0_51_51 = e0 % 34.57/10.23 | % 34.57/10.23 | Equations (388) can reduce 2347 to: % 34.57/10.23 | (303) $false % 34.57/10.23 | % 34.57/10.23 |-The branch is then unsatisfiable % 34.57/10.23 |-Branch two: % 34.57/10.23 | (592) ~ (all_0_57_57 = e1) % 34.57/10.23 | (3062) all_0_57_57 = e3 | all_0_57_57 = e0 % 34.57/10.23 | % 34.57/10.23 +-Applying beta-rule and splitting (3062), into two cases. % 34.57/10.23 |-Branch one: % 34.57/10.23 | (407) all_0_57_57 = e0 % 34.57/10.23 | % 34.57/10.23 | Equations (407) can reduce 2273 to: % 34.57/10.23 | (303) $false % 34.57/10.23 | % 34.57/10.23 |-The branch is then unsatisfiable % 34.57/10.23 |-Branch two: % 34.57/10.23 | (2273) ~ (all_0_57_57 = e0) % 34.57/10.23 | (1001) all_0_57_57 = e3 % 34.57/10.23 | % 34.57/10.23 | Equations (1001) can reduce 2590 to: % 34.57/10.23 | (303) $false % 34.57/10.23 | % 34.57/10.23 |-The branch is then unsatisfiable % 34.57/10.23 |-Branch two: % 34.57/10.23 | (273) ~ (all_0_52_52 = e2) % 34.57/10.23 | (15176) all_0_53_53 = e2 | all_0_54_54 = e2 | all_0_55_55 = e2 % 34.57/10.23 | % 34.57/10.23 +-Applying beta-rule and splitting (24), into two cases. % 34.57/10.23 |-Branch one: % 34.57/10.23 | (980) all_0_52_52 = e2 % 34.57/10.23 | % 34.57/10.23 | Equations (980) can reduce 273 to: % 34.57/10.23 | (303) $false % 34.57/10.23 | % 34.57/10.23 |-The branch is then unsatisfiable % 34.57/10.23 |-Branch two: % 34.57/10.23 | (273) ~ (all_0_52_52 = e2) % 34.57/10.23 | (1772) all_0_52_52 = e4 | all_0_52_52 = e3 | all_0_52_52 = e1 % 34.57/10.23 | % 34.57/10.23 +-Applying beta-rule and splitting (15176), into two cases. % 34.57/10.23 |-Branch one: % 34.57/10.23 | (360) all_0_53_53 = e2 % 34.57/10.23 | % 34.57/10.23 | Equations (360) can reduce 274 to: % 34.57/10.23 | (303) $false % 34.57/10.23 | % 34.57/10.23 |-The branch is then unsatisfiable % 34.57/10.23 |-Branch two: % 34.57/10.23 | (274) ~ (all_0_53_53 = e2) % 34.57/10.23 | (15180) all_0_54_54 = e2 | all_0_55_55 = e2 % 34.57/10.23 | % 34.57/10.23 +-Applying beta-rule and splitting (15180), into two cases. % 34.57/10.23 |-Branch one: % 34.57/10.23 | (271) all_0_54_54 = e2 % 34.57/10.23 | % 34.57/10.23 | Combining equations (271,469) yields a new equation: % 34.57/10.23 | (470) e4 = e2 % 34.57/10.23 | % 34.57/10.23 | Equations (470) can reduce 231 to: % 34.57/10.23 | (303) $false % 34.57/10.23 | % 34.57/10.23 |-The branch is then unsatisfiable % 34.57/10.23 |-Branch two: % 34.57/10.23 | (3453) ~ (all_0_54_54 = e2) % 34.57/10.23 | (932) all_0_55_55 = e2 % 34.57/10.23 | % 34.57/10.23 | Equations (932) can reduce 59 to: % 34.57/10.23 | (915) ~ (all_0_44_44 = e2) % 34.57/10.23 | % 34.57/10.23 | Equations (932) can reduce 159 to: % 34.57/10.23 | (573) ~ (all_0_60_60 = e2) % 34.57/10.23 | % 34.57/10.23 | Simplifying 573 yields: % 34.57/10.23 | (571) ~ (all_0_60_60 = e2) % 34.57/10.23 | % 34.57/10.23 | Equations (932) can reduce 492 to: % 34.57/10.23 | (261) ~ (e4 = e2) % 34.57/10.23 | % 34.57/10.23 | Simplifying 261 yields: % 34.57/10.23 | (231) ~ (e4 = e2) % 34.57/10.23 | % 34.57/10.23 | Equations (932) can reduce 93 to: % 34.57/10.23 | (51) ~ (e2 = e0) % 34.57/10.23 | % 34.57/10.23 | From (932) and (240) follows: % 34.57/10.23 | (16398) op(e1, e0) = e2 % 34.57/10.23 | % 34.57/10.23 +-Applying beta-rule and splitting (96), into two cases. % 34.57/10.23 |-Branch one: % 34.57/10.23 | (917) all_0_40_40 = e2 % 34.57/10.23 | % 34.57/10.23 | Equations (917) can reduce 939 to: % 34.57/10.23 | (303) $false % 34.57/10.23 | % 34.57/10.23 |-The branch is then unsatisfiable % 34.57/10.23 |-Branch two: % 34.57/10.23 | (939) ~ (all_0_40_40 = e2) % 34.57/10.23 | (944) all_0_45_45 = e2 | all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 34.57/10.23 | % 34.57/10.23 +-Applying beta-rule and splitting (944), into two cases. % 34.57/10.23 |-Branch one: % 34.57/10.23 | (951) all_0_45_45 = e2 % 34.57/10.23 | % 34.57/10.23 | Combining equations (493,951) yields a new equation: % 34.57/10.23 | (452) e3 = e2 % 34.57/10.23 | % 34.57/10.23 | Simplifying 452 yields: % 34.57/10.23 | (453) e3 = e2 % 34.57/10.23 | % 34.57/10.23 | Equations (453) can reduce 223 to: % 34.57/10.23 | (303) $false % 34.57/10.23 | % 34.57/10.23 |-The branch is then unsatisfiable % 34.57/10.23 |-Branch two: % 34.57/10.23 | (254) ~ (all_0_45_45 = e2) % 34.57/10.23 | (956) all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_56_56 = e2 % 34.57/10.23 | % 34.57/10.23 +-Applying beta-rule and splitting (956), into two cases. % 34.57/10.23 |-Branch one: % 34.57/10.23 | (727) all_0_48_48 = e2 % 34.57/10.23 | % 34.57/10.23 | Combining equations (727,380) yields a new equation: % 34.57/10.23 | (403) e2 = e0 % 34.57/10.23 | % 34.57/10.23 | Simplifying 403 yields: % 34.57/10.23 | (385) e2 = e0 % 34.57/10.23 | % 34.57/10.23 | Equations (385) can reduce 51 to: % 34.57/10.23 | (303) $false % 34.57/10.23 | % 34.57/10.23 |-The branch is then unsatisfiable % 34.57/10.23 |-Branch two: % 34.57/10.23 | (544) ~ (all_0_48_48 = e2) % 34.57/10.23 | (975) all_0_52_52 = e2 | all_0_56_56 = e2 % 34.57/10.23 | % 34.57/10.23 | Equations (380) can reduce 544 to: % 34.57/10.23 | (335) ~ (e2 = e0) % 34.57/10.23 | % 34.57/10.23 | Simplifying 335 yields: % 34.57/10.23 | (51) ~ (e2 = e0) % 34.57/10.23 | % 34.57/10.23 +-Applying beta-rule and splitting (61), into two cases. % 34.57/10.23 |-Branch one: % 34.57/10.23 | (580) all_0_56_56 = e2 % 34.57/10.23 | % 34.57/10.23 | Equations (580) can reduce 57 to: % 34.57/10.23 | (939) ~ (all_0_40_40 = e2) % 34.57/10.23 | % 34.57/10.23 | Equations (580) can reduce 149 to: % 34.57/10.23 | (273) ~ (all_0_52_52 = e2) % 34.57/10.23 | % 34.57/10.23 | Equations (580) can reduce 172 to: % 34.57/10.23 | (376) ~ (all_0_57_57 = e2) % 34.57/10.23 | % 34.57/10.23 | Simplifying 376 yields: % 34.57/10.23 | (377) ~ (all_0_57_57 = e2) % 34.57/10.23 | % 34.57/10.23 | Equations (580) can reduce 42 to: % 34.57/10.23 | (259) ~ (all_0_59_59 = e2) % 34.57/10.23 | % 34.57/10.23 | Simplifying 259 yields: % 34.57/10.23 | (260) ~ (all_0_59_59 = e2) % 34.57/10.23 | % 34.57/10.23 | Equations (580) can reduce 174 to: % 34.57/10.23 | (573) ~ (all_0_60_60 = e2) % 34.57/10.23 | % 34.57/10.23 | Simplifying 573 yields: % 34.57/10.23 | (571) ~ (all_0_60_60 = e2) % 34.57/10.23 | % 34.57/10.23 | Equations (580) can reduce 526 to: % 34.57/10.23 | (577) ~ (e3 = e2) % 34.57/10.23 | % 34.57/10.23 | Simplifying 577 yields: % 34.57/10.23 | (223) ~ (e3 = e2) % 34.57/10.23 | % 34.57/10.23 | Equations (580) can reduce 296 to: % 34.57/10.23 | (51) ~ (e2 = e0) % 34.57/10.23 | % 34.57/10.23 | From (580) and (185) follows: % 34.57/10.23 | (20396) op(e2, e4) = all_0_32_32 % 34.57/10.23 | % 34.57/10.23 | From (580) and (132) follows: % 34.57/10.23 | (582) op(e0, e4) = e2 % 34.57/10.23 | % 34.57/10.23 +-Applying beta-rule and splitting (196), into two cases. % 34.57/10.23 |-Branch one: % 34.57/10.23 | (723) all_0_40_40 = e4 % 34.57/10.23 | % 34.57/10.23 | Equations (723) can reduce 8 to: % 34.57/10.23 | (724) ~ (all_0_43_43 = e4) % 34.57/10.23 | % 34.57/10.23 | Simplifying 724 yields: % 34.57/10.23 | (712) ~ (all_0_43_43 = e4) % 34.57/10.23 | % 34.57/10.23 | Equations (723) can reduce 188 to: % 34.57/10.23 | (1751) ~ (all_0_52_52 = e4) % 34.57/10.23 | % 34.57/10.23 | Simplifying 1751 yields: % 34.57/10.23 | (445) ~ (all_0_52_52 = e4) % 34.57/10.23 | % 34.57/10.23 +-Applying beta-rule and splitting (64), into two cases. % 34.57/10.23 |-Branch one: % 34.57/10.23 | (425) all_0_52_52 = e3 % 34.57/10.23 | % 34.57/10.23 | Equations (425) can reduce 521 to: % 34.57/10.23 | (303) $false % 34.57/10.23 | % 34.57/10.23 |-The branch is then unsatisfiable % 34.57/10.23 |-Branch two: % 34.57/10.23 | (521) ~ (all_0_52_52 = e3) % 34.57/10.23 | (1006) all_0_53_53 = e3 | all_0_55_55 = e3 % 34.57/10.23 | % 34.57/10.23 +-Applying beta-rule and splitting (1006), into two cases. % 34.57/10.23 |-Branch one: % 34.57/10.23 | (994) all_0_53_53 = e3 % 34.57/10.23 | % 34.57/10.23 | Equations (994) can reduce 77 to: % 34.57/10.23 | (521) ~ (all_0_52_52 = e3) % 34.57/10.23 | % 34.57/10.23 | Equations (994) can reduce 251 to: % 34.57/10.23 | (2589) ~ (all_0_57_57 = e3) % 34.57/10.23 | % 34.57/10.23 | Simplifying 2589 yields: % 34.57/10.23 | (2590) ~ (all_0_57_57 = e3) % 34.57/10.23 | % 34.57/10.23 | From (994) and (54) follows: % 34.57/10.23 | (2593) op(e3, e1) = all_0_25_25 % 34.57/10.23 | % 34.57/10.23 +-Applying beta-rule and splitting (250), into two cases. % 34.57/10.23 |-Branch one: % 34.57/10.23 | (897) all_0_57_57 = e2 % 34.57/10.23 | % 34.57/10.23 | Equations (897) can reduce 377 to: % 34.57/10.23 | (303) $false % 34.57/10.23 | % 34.57/10.23 |-The branch is then unsatisfiable % 34.57/10.23 |-Branch two: % 34.57/10.23 | (377) ~ (all_0_57_57 = e2) % 34.57/10.23 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 34.57/10.23 | % 34.57/10.23 +-Applying beta-rule and splitting (2652), into two cases. % 34.57/10.23 |-Branch one: % 34.57/10.23 | (589) all_0_57_57 = e1 % 34.57/10.23 | % 34.57/10.23 | Equations (589) can reduce 222 to: % 34.57/10.23 | (3274) ~ (all_0_59_59 = e1) % 34.57/10.23 | % 34.57/10.23 | Simplifying 3274 yields: % 34.57/10.23 | (603) ~ (all_0_59_59 = e1) % 34.57/10.23 | % 34.57/10.23 | Equations (589) can reduce 81 to: % 34.57/10.23 | (1050) ~ (all_0_60_60 = e1) % 34.57/10.23 | % 34.57/10.23 | Simplifying 1050 yields: % 34.57/10.23 | (501) ~ (all_0_60_60 = e1) % 34.57/10.23 | % 34.57/10.23 | From (589) and (205) follows: % 34.57/10.24 | (23134) op(e1, e0) = all_0_33_33 % 34.57/10.24 | % 34.57/10.24 +-Applying beta-rule and splitting (1772), into two cases. % 34.57/10.24 |-Branch one: % 34.57/10.24 | (442) all_0_52_52 = e4 % 34.57/10.24 | % 34.57/10.24 | Equations (442) can reduce 445 to: % 34.57/10.24 | (303) $false % 34.57/10.24 | % 34.57/10.24 |-The branch is then unsatisfiable % 34.57/10.24 |-Branch two: % 34.57/10.24 | (445) ~ (all_0_52_52 = e4) % 34.57/10.24 | (1795) all_0_52_52 = e3 | all_0_52_52 = e1 % 34.57/10.24 | % 34.57/10.24 +-Applying beta-rule and splitting (1795), into two cases. % 34.57/10.24 |-Branch one: % 34.57/10.24 | (1070) all_0_52_52 = e1 % 34.57/10.24 | % 34.57/10.24 | Equations (1070) can reduce 273 to: % 34.57/10.24 | (565) ~ (e2 = e1) % 34.57/10.24 | % 34.57/10.24 | Simplifying 565 yields: % 34.57/10.24 | (144) ~ (e2 = e1) % 34.57/10.24 | % 34.57/10.24 | Equations (1070) can reduce 78 to: % 34.57/10.24 | (134) ~ (e1 = e0) % 34.57/10.24 | % 34.57/10.24 | From (1070) and (45) follows: % 34.57/10.24 | (6468) op(e1, e4) = all_0_24_24 % 34.57/10.24 | % 34.57/10.24 | From (1070) and (152) follows: % 34.57/10.24 | (1178) op(e1, e4) = e1 % 34.57/10.24 | % 34.57/10.24 +-Applying beta-rule and splitting (56), into two cases. % 34.57/10.24 |-Branch one: % 34.57/10.24 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 34.57/10.24 | % 34.57/10.24 +-Applying beta-rule and splitting (480), into two cases. % 34.57/10.24 |-Branch one: % 34.57/10.24 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 34.57/10.24 | % 34.57/10.24 +-Applying beta-rule and splitting (481), into two cases. % 34.57/10.24 |-Branch one: % 34.57/10.24 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 34.57/10.24 | % 34.57/10.24 +-Applying beta-rule and splitting (482), into two cases. % 34.57/10.24 |-Branch one: % 34.57/10.24 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 34.57/10.24 | % 34.57/10.24 | Applying alpha-rule on (483) yields: % 34.57/10.24 | (484) ~ (unit = e4) % 34.57/10.24 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 34.57/10.24 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 34.57/10.24 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 34.57/10.24 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 34.57/10.24 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 34.57/10.24 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 34.57/10.24 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 34.57/10.24 | (492) ~ (all_0_55_55 = e4) % 34.57/10.24 | (493) all_0_45_45 = e3 % 34.57/10.24 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 34.57/10.24 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 34.57/10.24 | % 34.57/10.24 +-Applying beta-rule and splitting (485), into two cases. % 34.57/10.24 |-Branch one: % 34.57/10.24 | (472) ~ (all_0_54_54 = e4) % 34.57/10.24 | % 34.57/10.24 | Equations (469) can reduce 472 to: % 34.57/10.24 | (303) $false % 34.57/10.24 | % 34.57/10.24 |-The branch is then unsatisfiable % 34.57/10.24 |-Branch two: % 34.57/10.24 | (469) all_0_54_54 = e4 % 34.57/10.24 | (980) all_0_52_52 = e2 % 34.57/10.24 | % 34.57/10.24 | Combining equations (1070,980) yields a new equation: % 34.57/10.24 | (585) e2 = e1 % 34.57/10.24 | % 34.57/10.24 | Equations (585) can reduce 144 to: % 34.57/10.24 | (303) $false % 34.57/10.24 | % 34.57/10.24 |-The branch is then unsatisfiable % 34.57/10.24 |-Branch two: % 34.57/10.24 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 34.57/10.24 | % 34.57/10.24 | Applying alpha-rule on (499) yields: % 34.57/10.24 | (500) ~ (all_0_51_51 = e1) % 34.57/10.24 | (501) ~ (all_0_60_60 = e1) % 34.57/10.24 | (502) ~ (all_0_52_52 = e1) % 34.57/10.24 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 34.57/10.24 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 34.57/10.24 | (252) all_0_46_46 = e2 % 34.57/10.24 | (506) ~ (all_0_49_49 = e1) % 34.57/10.24 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 34.57/10.24 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 34.57/10.24 | (509) ~ (all_0_53_53 = e1) % 34.57/10.24 | (510) ~ (unit = e1) % 34.57/10.24 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 34.57/10.24 | (512) ~ (all_0_44_44 = e1) % 34.57/10.24 | % 34.57/10.24 | Equations (1070) can reduce 502 to: % 34.57/10.24 | (303) $false % 34.57/10.24 | % 34.57/10.24 |-The branch is then unsatisfiable % 34.57/10.24 |-Branch two: % 34.57/10.24 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 34.57/10.24 | % 34.57/10.24 | Applying alpha-rule on (514) yields: % 34.57/10.24 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 34.57/10.24 | (516) ~ (all_0_47_47 = e3) % 34.57/10.24 | (314) ~ (all_0_55_55 = e3) % 34.57/10.24 | (368) all_0_49_49 = e2 % 34.57/10.24 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 34.57/10.24 | (520) ~ (unit = e3) % 34.57/10.24 | (521) ~ (all_0_52_52 = e3) % 34.57/10.24 | (455) ~ (all_0_46_46 = e3) % 34.57/10.24 | (432) ~ (all_0_40_40 = e3) % 34.57/10.24 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 34.57/10.24 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 34.57/10.24 | (526) ~ (all_0_56_56 = e3) % 34.57/10.24 | % 34.57/10.24 | Equations (1070) can reduce 521 to: % 34.57/10.24 | (465) ~ (e3 = e1) % 34.57/10.24 | % 34.57/10.24 | Simplifying 465 yields: % 34.57/10.24 | (136) ~ (e3 = e1) % 34.57/10.24 | % 34.57/10.24 | Equations (580) can reduce 526 to: % 34.57/10.24 | (577) ~ (e3 = e2) % 34.57/10.24 | % 34.57/10.24 | Simplifying 577 yields: % 34.57/10.24 | (223) ~ (e3 = e2) % 34.57/10.24 | % 34.57/10.24 +-Applying beta-rule and splitting (515), into two cases. % 34.57/10.24 |-Branch one: % 34.57/10.24 | (316) ~ (all_0_60_60 = e3) % 34.57/10.24 | % 34.57/10.24 +-Applying beta-rule and splitting (220), into two cases. % 34.57/10.24 |-Branch one: % 34.57/10.24 | (913) all_0_60_60 = e2 % 34.57/10.24 | % 34.57/10.24 | Equations (913) can reduce 571 to: % 34.57/10.24 | (303) $false % 34.57/10.24 | % 34.57/10.24 |-The branch is then unsatisfiable % 34.57/10.24 |-Branch two: % 34.57/10.24 | (571) ~ (all_0_60_60 = e2) % 34.57/10.24 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 34.57/10.24 | % 34.57/10.24 +-Applying beta-rule and splitting (524), into two cases. % 34.57/10.24 |-Branch one: % 34.57/10.24 | (434) ~ (all_0_43_43 = e3) % 34.57/10.24 | % 34.57/10.24 +-Applying beta-rule and splitting (195), into two cases. % 34.57/10.24 |-Branch one: % 34.57/10.24 | (2081) all_0_44_44 = e3 % 34.57/10.24 | % 34.57/10.24 | Equations (2081) can reduce 82 to: % 34.57/10.24 | (434) ~ (all_0_43_43 = e3) % 34.57/10.24 | % 34.57/10.24 | Equations (2081) can reduce 161 to: % 34.57/10.24 | (311) ~ (all_0_51_51 = e3) % 34.57/10.24 | % 34.57/10.24 | Simplifying 311 yields: % 34.57/10.24 | (32) ~ (all_0_51_51 = e3) % 34.57/10.24 | % 34.57/10.24 | Equations (2081) can reduce 915 to: % 34.57/10.24 | (223) ~ (e3 = e2) % 34.57/10.24 | % 34.57/10.24 +-Applying beta-rule and splitting (209), into two cases. % 34.57/10.24 |-Branch one: % 34.57/10.24 | (1111) all_0_56_56 = e3 % 34.57/10.24 | % 34.57/10.24 | Combining equations (580,1111) yields a new equation: % 34.57/10.24 | (453) e3 = e2 % 34.57/10.24 | % 34.57/10.24 | Equations (453) can reduce 223 to: % 34.57/10.24 | (303) $false % 34.57/10.24 | % 34.57/10.24 |-The branch is then unsatisfiable % 34.57/10.24 |-Branch two: % 34.57/10.24 | (526) ~ (all_0_56_56 = e3) % 34.57/10.24 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 34.57/10.24 | % 34.57/10.24 | Equations (580) can reduce 526 to: % 34.57/10.24 | (577) ~ (e3 = e2) % 34.57/10.24 | % 34.57/10.24 | Simplifying 577 yields: % 34.57/10.24 | (223) ~ (e3 = e2) % 34.57/10.24 | % 34.57/10.24 +-Applying beta-rule and splitting (137), into two cases. % 34.57/10.24 |-Branch one: % 34.57/10.24 | (447) all_0_43_43 = e3 % 34.57/10.24 | % 34.57/10.24 | Equations (447) can reduce 434 to: % 34.57/10.24 | (303) $false % 34.57/10.24 | % 34.57/10.24 |-The branch is then unsatisfiable % 34.57/10.24 |-Branch two: % 34.57/10.24 | (434) ~ (all_0_43_43 = e3) % 34.57/10.24 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 34.57/10.24 | % 34.57/10.24 +-Applying beta-rule and splitting (1275), into two cases. % 34.57/10.24 |-Branch one: % 34.57/10.24 | (1510) all_0_60_60 = e4 % 34.57/10.24 | % 34.57/10.24 | Equations (1510) can reduce 95 to: % 34.57/10.24 | (1504) ~ (all_0_51_51 = e4) % 34.57/10.24 | % 34.57/10.24 | Equations (1510) can reduce 164 to: % 34.57/10.24 | (348) ~ (all_0_59_59 = e4) % 34.57/10.24 | % 34.57/10.24 | Equations (1510) can reduce 501 to: % 34.57/10.24 | (247) ~ (e4 = e1) % 34.57/10.24 | % 34.57/10.24 | Equations (1510) can reduce 414 to: % 34.57/10.24 | (4) ~ (e4 = e0) % 34.57/10.24 | % 34.57/10.24 | From (1510) and (170) follows: % 34.57/10.24 | (5006) op(e0, e0) = e4 % 34.57/10.24 | % 34.57/10.24 +-Applying beta-rule and splitting (234), into two cases. % 34.57/10.24 |-Branch one: % 34.57/10.24 | (609) all_0_48_48 = e4 % 34.57/10.24 | % 34.57/10.24 | Combining equations (380,609) yields a new equation: % 34.57/10.24 | (654) e4 = e0 % 34.57/10.24 | % 34.57/10.24 | Equations (654) can reduce 4 to: % 34.57/10.24 | (303) $false % 34.57/10.24 | % 34.57/10.24 |-The branch is then unsatisfiable % 34.57/10.24 |-Branch two: % 34.57/10.24 | (721) ~ (all_0_48_48 = e4) % 34.57/10.24 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 34.57/10.24 | % 34.57/10.24 +-Applying beta-rule and splitting (227), into two cases. % 34.57/10.24 |-Branch one: % 34.57/10.24 | (909) all_0_59_59 = e2 % 34.57/10.24 | % 34.57/10.24 | Equations (909) can reduce 260 to: % 34.57/10.24 | (303) $false % 34.57/10.24 | % 34.57/10.24 |-The branch is then unsatisfiable % 34.57/10.24 |-Branch two: % 34.57/10.24 | (260) ~ (all_0_59_59 = e2) % 34.57/10.24 | (1037) all_0_59_59 = e4 | all_0_59_59 = e3 | all_0_59_59 = e1 % 34.57/10.24 | % 34.57/10.24 +-Applying beta-rule and splitting (27), into two cases. % 34.57/10.24 |-Branch one: % 34.57/10.24 | (705) all_0_44_44 = e1 % 34.57/10.24 | % 34.57/10.24 | Combining equations (2081,705) yields a new equation: % 34.57/10.24 | (680) e3 = e1 % 34.57/10.24 | % 34.57/10.24 | Simplifying 680 yields: % 34.57/10.24 | (601) e3 = e1 % 34.57/10.24 | % 34.57/10.24 | Equations (601) can reduce 136 to: % 34.57/10.24 | (303) $false % 34.57/10.24 | % 34.57/10.24 |-The branch is then unsatisfiable % 34.57/10.24 |-Branch two: % 34.57/10.24 | (512) ~ (all_0_44_44 = e1) % 34.57/10.24 | (1589) all_0_51_51 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1 % 34.57/10.24 | % 34.57/10.24 +-Applying beta-rule and splitting (1037), into two cases. % 34.57/10.24 |-Branch one: % 34.57/10.24 | (717) all_0_59_59 = e4 % 34.57/10.24 | % 34.57/10.24 | Equations (717) can reduce 348 to: % 34.57/10.24 | (303) $false % 34.57/10.24 | % 34.57/10.24 |-The branch is then unsatisfiable % 34.57/10.24 |-Branch two: % 34.57/10.24 | (348) ~ (all_0_59_59 = e4) % 34.57/10.24 | (1047) all_0_59_59 = e3 | all_0_59_59 = e1 % 34.57/10.24 | % 34.57/10.24 +-Applying beta-rule and splitting (1047), into two cases. % 34.57/10.24 |-Branch one: % 34.57/10.24 | (600) all_0_59_59 = e1 % 34.57/10.24 | % 34.57/10.24 | Equations (600) can reduce 603 to: % 34.57/10.24 | (303) $false % 34.57/10.24 | % 34.57/10.24 |-The branch is then unsatisfiable % 34.57/10.24 |-Branch two: % 34.57/10.24 | (603) ~ (all_0_59_59 = e1) % 34.57/10.24 | (456) all_0_59_59 = e3 % 34.57/10.24 | % 34.57/10.24 | From (456) and (33) follows: % 34.57/10.24 | (5473) op(e3, e1) = all_0_38_38 % 34.57/10.24 | % 34.57/10.24 | From (456) and (90) follows: % 34.57/10.24 | (461) op(e0, e1) = e3 % 34.57/10.24 | % 34.57/10.24 +-Applying beta-rule and splitting (1589), into two cases. % 34.57/10.24 |-Branch one: % 34.57/10.24 | (1590) all_0_51_51 = e1 % 34.57/10.24 | % 34.57/10.24 | Equations (1590) can reduce 171 to: % 34.57/10.24 | (678) ~ (all_0_50_50 = e1) % 34.57/10.24 | % 34.57/10.24 | Equations (1590) can reduce 1504 to: % 34.57/10.24 | (605) ~ (e4 = e1) % 34.57/10.24 | % 34.57/10.24 | Simplifying 605 yields: % 34.57/10.24 | (247) ~ (e4 = e1) % 34.57/10.24 | % 34.57/10.24 | Equations (1590) can reduce 32 to: % 34.57/10.24 | (465) ~ (e3 = e1) % 34.57/10.24 | % 34.57/10.24 | Simplifying 465 yields: % 34.57/10.24 | (136) ~ (e3 = e1) % 34.57/10.24 | % 34.57/10.24 | Equations (1590) can reduce 2347 to: % 34.57/10.24 | (134) ~ (e1 = e0) % 34.57/10.24 | % 34.57/10.24 | From (1590) and (122) follows: % 34.57/10.24 | (23259) op(e1, e2) = all_0_21_21 % 34.57/10.24 | % 34.57/10.24 | From (1590) and (18) follows: % 34.57/10.24 | (6460) op(e1, e0) = all_0_22_22 % 34.57/10.24 | % 34.57/10.24 +-Applying beta-rule and splitting (100), into two cases. % 34.57/10.24 |-Branch one: % 34.57/10.24 | (618) all_0_43_43 = e1 % 34.57/10.24 | % 34.57/10.24 | Equations (618) can reduce 238 to: % 34.57/10.24 | (855) ~ (all_0_50_50 = e1) % 34.57/10.24 | % 34.57/10.24 | Simplifying 855 yields: % 34.57/10.24 | (678) ~ (all_0_50_50 = e1) % 34.57/10.24 | % 34.57/10.24 | Equations (618) can reduce 117 to: % 34.57/10.24 | (134) ~ (e1 = e0) % 34.57/10.24 | % 34.57/10.24 | From (618) and (89) follows: % 34.57/10.24 | (4910) op(e1, e4) = all_0_5_5 % 34.57/10.24 | % 34.57/10.24 +-Applying beta-rule and splitting (367), into two cases. % 34.57/10.24 |-Branch one: % 34.57/10.24 | (714) all_0_50_50 = e4 % 34.57/10.24 | % 34.57/10.24 | From (714) and (129) follows: % 34.57/10.24 | (2616) op(e4, e2) = all_0_19_19 % 34.57/10.24 | % 34.57/10.24 | Instantiating formula (29) with e4, e2, all_0_19_19, e2 and discharging atoms op(e4, e2) = all_0_19_19, op(e4, e2) = e2, yields: % 34.57/10.24 | (23268) all_0_19_19 = e2 % 34.57/10.24 | % 34.57/10.24 | Instantiating formula (29) with e3, e1, all_0_25_25, e2 and discharging atoms op(e3, e1) = all_0_25_25, op(e3, e1) = e2, yields: % 34.57/10.24 | (2621) all_0_25_25 = e2 % 34.57/10.24 | % 34.57/10.24 | Instantiating formula (29) with e3, e1, all_0_38_38, all_0_25_25 and discharging atoms op(e3, e1) = all_0_25_25, op(e3, e1) = all_0_38_38, yields: % 34.57/10.24 | (5540) all_0_25_25 = all_0_38_38 % 34.57/10.24 | % 34.57/10.24 | Instantiating formula (29) with e2, e4, all_0_32_32, e0 and discharging atoms op(e2, e4) = all_0_32_32, op(e2, e4) = e0, yields: % 34.57/10.24 | (3653) all_0_32_32 = e0 % 34.57/10.24 | % 34.57/10.24 | Instantiating formula (29) with e1, e4, all_0_24_24, all_0_5_5 and discharging atoms op(e1, e4) = all_0_5_5, op(e1, e4) = all_0_24_24, yields: % 34.57/10.25 | (23272) all_0_5_5 = all_0_24_24 % 34.57/10.25 | % 34.57/10.25 | Instantiating formula (29) with e1, e4, e1, all_0_5_5 and discharging atoms op(e1, e4) = all_0_5_5, op(e1, e4) = e1, yields: % 34.57/10.25 | (18747) all_0_5_5 = e1 % 34.57/10.25 | % 34.57/10.25 | Instantiating formula (29) with e1, e2, all_0_21_21, e4 and discharging atoms op(e1, e2) = all_0_21_21, op(e1, e2) = e4, yields: % 34.57/10.25 | (422) all_0_21_21 = e4 % 34.57/10.25 | % 34.57/10.25 | Instantiating formula (29) with e1, e0, all_0_33_33, all_0_22_22 and discharging atoms op(e1, e0) = all_0_22_22, op(e1, e0) = all_0_33_33, yields: % 34.57/10.25 | (23275) all_0_22_22 = all_0_33_33 % 34.57/10.25 | % 34.57/10.25 | Instantiating formula (29) with e1, e0, e2, all_0_22_22 and discharging atoms op(e1, e0) = all_0_22_22, op(e1, e0) = e2, yields: % 34.57/10.25 | (3575) all_0_22_22 = e2 % 34.57/10.25 | % 34.57/10.25 | Combining equations (18747,23272) yields a new equation: % 34.57/10.25 | (3580) all_0_24_24 = e1 % 34.57/10.25 | % 34.57/10.25 | Combining equations (3575,23275) yields a new equation: % 34.57/10.25 | (23278) all_0_33_33 = e2 % 34.57/10.25 | % 34.57/10.25 | Combining equations (5540,2621) yields a new equation: % 34.57/10.25 | (5548) all_0_38_38 = e2 % 34.57/10.25 | % 34.57/10.25 | Simplifying 5548 yields: % 34.57/10.25 | (5549) all_0_38_38 = e2 % 34.57/10.25 | % 34.57/10.25 | From (23268) and (2616) follows: % 34.57/10.25 | (1176) op(e4, e2) = e2 % 34.57/10.25 | % 34.57/10.25 | From (5549) and (5473) follows: % 34.57/10.25 | (266) op(e3, e1) = e2 % 34.57/10.25 | % 34.57/10.25 | From (3653) and (20396) follows: % 34.57/10.25 | (9697) op(e2, e4) = e0 % 34.57/10.25 | % 34.57/10.25 | From (3580) and (6468) follows: % 34.57/10.25 | (1178) op(e1, e4) = e1 % 34.57/10.25 | % 34.57/10.25 | From (422) and (23259) follows: % 34.57/10.25 | (12388) op(e1, e2) = e4 % 34.57/10.25 | % 34.57/10.25 | From (23278) and (23134) follows: % 34.57/10.25 | (16398) op(e1, e0) = e2 % 34.57/10.25 | % 34.57/10.25 +-Applying beta-rule and splitting (62), into two cases. % 34.57/10.25 |-Branch one: % 34.57/10.25 | (631) unit = e2 % 34.57/10.25 | % 34.57/10.25 | From (631) and (17) follows: % 34.57/10.25 | (613) op(e2, e4) = e4 % 34.57/10.25 | % 34.57/10.25 | From (631) and (130) follows: % 34.57/10.25 | (3186) op(e4, e2) = e4 % 34.57/10.25 | % 34.57/10.25 | From (631) and (98) follows: % 34.57/10.26 | (5015) op(e3, e2) = e3 % 34.57/10.26 | % 34.57/10.26 | From (631) and (74) follows: % 34.57/10.26 | (2715) op(e2, e2) = e2 % 34.57/10.26 | % 34.57/10.26 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 34.57/10.26 | (470) e4 = e2 % 34.57/10.26 | % 34.57/10.26 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 34.57/10.26 | (601) e3 = e1 % 34.57/10.26 | % 34.57/10.26 | Instantiating formula (29) with e2, e4, e4, e0 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e0, yields: % 34.57/10.26 | (654) e4 = e0 % 34.57/10.26 | % 34.57/10.26 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 34.57/10.26 | (453) e3 = e2 % 34.57/10.26 | % 34.57/10.26 | Combining equations (654,470) yields a new equation: % 34.57/10.26 | (385) e2 = e0 % 34.57/10.26 | % 34.57/10.26 | Combining equations (601,453) yields a new equation: % 34.57/10.26 | (585) e2 = e1 % 34.57/10.26 | % 34.57/10.26 | Combining equations (385,585) yields a new equation: % 34.57/10.26 | (590) e1 = e0 % 34.57/10.26 | % 34.57/10.26 | Equations (590) can reduce 134 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (599) ~ (unit = e2) % 34.57/10.26 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (634), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (635) unit = e4 % 34.57/10.26 | % 34.57/10.26 | From (635) and (111) follows: % 34.57/10.26 | (638) op(e0, e4) = e0 % 34.57/10.26 | % 34.57/10.26 | Instantiating formula (29) with e0, e4, e0, e2 and discharging atoms op(e0, e4) = e2, op(e0, e4) = e0, yields: % 34.57/10.26 | (385) e2 = e0 % 34.57/10.26 | % 34.57/10.26 | Equations (385) can reduce 51 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (484) ~ (unit = e4) % 34.57/10.26 | (647) unit = e3 | unit = e1 | unit = e0 % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (647), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (648) unit = e1 % 34.57/10.26 | % 34.57/10.26 | From (648) and (17) follows: % 34.57/10.26 | (649) op(e1, e4) = e4 % 34.57/10.26 | % 34.57/10.26 | From (648) and (147) follows: % 34.57/10.26 | (282) op(e1, e2) = e2 % 34.57/10.26 | % 34.57/10.26 | From (648) and (98) follows: % 34.57/10.26 | (1862) op(e3, e1) = e3 % 34.57/10.26 | % 34.57/10.26 | From (648) and (111) follows: % 34.57/10.26 | (770) op(e0, e1) = e0 % 34.57/10.26 | % 34.57/10.26 | Instantiating formula (29) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields: % 34.57/10.26 | (453) e3 = e2 % 34.57/10.26 | % 34.57/10.26 | Instantiating formula (29) with e1, e4, e4, e1 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields: % 34.57/10.26 | (541) e4 = e1 % 34.57/10.26 | % 34.57/10.26 | Instantiating formula (29) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields: % 34.57/10.26 | (470) e4 = e2 % 34.57/10.26 | % 34.57/10.26 | Instantiating formula (29) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields: % 34.57/10.26 | (497) e3 = e0 % 34.57/10.26 | % 34.57/10.26 | Combining equations (470,541) yields a new equation: % 34.57/10.26 | (584) e2 = e1 % 34.57/10.26 | % 34.57/10.26 | Simplifying 584 yields: % 34.57/10.26 | (585) e2 = e1 % 34.57/10.26 | % 34.57/10.26 | Combining equations (453,497) yields a new equation: % 34.57/10.26 | (403) e2 = e0 % 34.57/10.26 | % 34.57/10.26 | Simplifying 403 yields: % 34.57/10.26 | (385) e2 = e0 % 34.57/10.26 | % 34.57/10.26 | Combining equations (385,585) yields a new equation: % 34.57/10.26 | (590) e1 = e0 % 34.57/10.26 | % 34.57/10.26 | Equations (590) can reduce 134 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (510) ~ (unit = e1) % 34.57/10.26 | (659) unit = e3 | unit = e0 % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (659), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (660) unit = e0 % 34.57/10.26 | % 34.57/10.26 | Equations (660) can reduce 510 to: % 34.57/10.26 | (661) ~ (e1 = e0) % 34.57/10.26 | % 34.57/10.26 | Simplifying 661 yields: % 34.57/10.26 | (134) ~ (e1 = e0) % 34.57/10.26 | % 34.57/10.26 | From (660) and (17) follows: % 34.57/10.26 | (1195) op(e0, e4) = e4 % 34.57/10.26 | % 34.57/10.26 | From (660) and (190) follows: % 34.57/10.26 | (665) op(e1, e0) = e1 % 34.57/10.26 | % 34.57/10.26 | From (660) and (111) follows: % 34.57/10.26 | (3633) op(e0, e0) = e0 % 34.57/10.26 | % 34.57/10.26 | Instantiating formula (29) with e1, e0, e1, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e1, yields: % 34.57/10.26 | (585) e2 = e1 % 34.57/10.26 | % 34.57/10.26 | Instantiating formula (29) with e0, e4, e4, e2 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e2, yields: % 34.57/10.26 | (470) e4 = e2 % 34.57/10.26 | % 34.57/10.26 | Instantiating formula (29) with e0, e0, e0, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields: % 34.57/10.26 | (654) e4 = e0 % 34.57/10.26 | % 34.57/10.26 | Combining equations (470,654) yields a new equation: % 34.57/10.26 | (403) e2 = e0 % 34.57/10.26 | % 34.57/10.26 | Simplifying 403 yields: % 34.57/10.26 | (385) e2 = e0 % 34.57/10.26 | % 34.57/10.26 | Combining equations (385,585) yields a new equation: % 34.57/10.26 | (590) e1 = e0 % 34.57/10.26 | % 34.57/10.26 | Equations (590) can reduce 134 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (537) ~ (unit = e0) % 34.57/10.26 | (674) unit = e3 % 34.57/10.26 | % 34.57/10.26 | Equations (674) can reduce 520 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (611) ~ (all_0_50_50 = e4) % 34.57/10.26 | (627) all_0_50_50 = e1 % 34.57/10.26 | % 34.57/10.26 | Equations (627) can reduce 678 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (622) ~ (all_0_43_43 = e1) % 34.57/10.26 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (722), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (714) all_0_50_50 = e4 % 34.57/10.26 | % 34.57/10.26 | Equations (714) can reduce 678 to: % 34.57/10.26 | (247) ~ (e4 = e1) % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (44), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (624) all_0_40_40 = e1 % 34.57/10.26 | % 34.57/10.26 | Combining equations (723,624) yields a new equation: % 34.57/10.26 | (540) e4 = e1 % 34.57/10.26 | % 34.57/10.26 | Simplifying 540 yields: % 34.57/10.26 | (541) e4 = e1 % 34.57/10.26 | % 34.57/10.26 | Equations (541) can reduce 247 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (683) ~ (all_0_40_40 = e1) % 34.57/10.26 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (688), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (696) all_0_41_41 = e1 % 34.57/10.26 | % 34.57/10.26 | Combining equations (398,696) yields a new equation: % 34.57/10.26 | (590) e1 = e0 % 34.57/10.26 | % 34.57/10.26 | Equations (590) can reduce 134 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (699) ~ (all_0_41_41 = e1) % 34.57/10.26 | (700) all_0_43_43 = e1 | all_0_44_44 = e1 % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (700), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (618) all_0_43_43 = e1 % 34.57/10.26 | % 34.57/10.26 | Equations (618) can reduce 622 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (622) ~ (all_0_43_43 = e1) % 34.57/10.26 | (705) all_0_44_44 = e1 % 34.57/10.26 | % 34.57/10.26 | Combining equations (2081,705) yields a new equation: % 34.57/10.26 | (680) e3 = e1 % 34.57/10.26 | % 34.57/10.26 | Simplifying 680 yields: % 34.57/10.26 | (601) e3 = e1 % 34.57/10.26 | % 34.57/10.26 | Equations (601) can reduce 136 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (611) ~ (all_0_50_50 = e4) % 34.57/10.26 | (1501) all_0_51_51 = e4 % 34.57/10.26 | % 34.57/10.26 | Combining equations (1590,1501) yields a new equation: % 34.57/10.26 | (541) e4 = e1 % 34.57/10.26 | % 34.57/10.26 | Equations (541) can reduce 247 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (500) ~ (all_0_51_51 = e1) % 34.57/10.26 | (1594) all_0_55_55 = e1 | all_0_60_60 = e1 % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (1594), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (530) all_0_55_55 = e1 % 34.57/10.26 | % 34.57/10.26 | Combining equations (530,932) yields a new equation: % 34.57/10.26 | (585) e2 = e1 % 34.57/10.26 | % 34.57/10.26 | Equations (585) can reduce 144 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (464) ~ (all_0_55_55 = e1) % 34.57/10.26 | (604) all_0_60_60 = e1 % 34.57/10.26 | % 34.57/10.26 | Combining equations (604,1510) yields a new equation: % 34.57/10.26 | (541) e4 = e1 % 34.57/10.26 | % 34.57/10.26 | Equations (541) can reduce 247 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (350) ~ (all_0_60_60 = e4) % 34.57/10.26 | (1906) all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (1906), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (604) all_0_60_60 = e1 % 34.57/10.26 | % 34.57/10.26 | Equations (604) can reduce 501 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (501) ~ (all_0_60_60 = e1) % 34.57/10.26 | (1933) all_0_60_60 = e3 | all_0_60_60 = e0 % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (450), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (451) all_0_46_46 = e3 % 34.57/10.26 | % 34.57/10.26 | Combining equations (252,451) yields a new equation: % 34.57/10.26 | (453) e3 = e2 % 34.57/10.26 | % 34.57/10.26 | Equations (453) can reduce 223 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (455) ~ (all_0_46_46 = e3) % 34.57/10.26 | (456) all_0_59_59 = e3 % 34.57/10.26 | % 34.57/10.26 | Equations (456) can reduce 164 to: % 34.57/10.26 | (315) ~ (all_0_60_60 = e3) % 34.57/10.26 | % 34.57/10.26 | Simplifying 315 yields: % 34.57/10.26 | (316) ~ (all_0_60_60 = e3) % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (1933), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (1934) all_0_60_60 = e0 % 34.57/10.26 | % 34.57/10.26 | Equations (1934) can reduce 414 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (414) ~ (all_0_60_60 = e0) % 34.57/10.26 | (1937) all_0_60_60 = e3 % 34.57/10.26 | % 34.57/10.26 | Equations (1937) can reduce 316 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (310) ~ (all_0_44_44 = e3) % 34.57/10.26 | (7006) all_0_47_47 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (137), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (447) all_0_43_43 = e3 % 34.57/10.26 | % 34.57/10.26 | Equations (447) can reduce 434 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (434) ~ (all_0_43_43 = e3) % 34.57/10.26 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (191), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (965) all_0_43_43 = e2 % 34.57/10.26 | % 34.57/10.26 | Equations (965) can reduce 253 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (253) ~ (all_0_43_43 = e2) % 34.57/10.26 | (1634) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e1 % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (1275), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (1510) all_0_60_60 = e4 % 34.57/10.26 | % 34.57/10.26 | Equations (1510) can reduce 165 to: % 34.57/10.26 | (474) ~ (all_0_44_44 = e4) % 34.57/10.26 | % 34.57/10.26 | Equations (1510) can reduce 95 to: % 34.57/10.26 | (1504) ~ (all_0_51_51 = e4) % 34.57/10.26 | % 34.57/10.26 | Equations (1510) can reduce 414 to: % 34.57/10.26 | (4) ~ (e4 = e0) % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (139), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (614) all_0_43_43 = e4 % 34.57/10.26 | % 34.57/10.26 | Equations (614) can reduce 712 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (712) ~ (all_0_43_43 = e4) % 34.57/10.26 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (234), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (609) all_0_48_48 = e4 % 34.57/10.26 | % 34.57/10.26 | Combining equations (380,609) yields a new equation: % 34.57/10.26 | (654) e4 = e0 % 34.57/10.26 | % 34.57/10.26 | Equations (654) can reduce 4 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (721) ~ (all_0_48_48 = e4) % 34.57/10.26 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (450), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (451) all_0_46_46 = e3 % 34.57/10.26 | % 34.57/10.26 | Combining equations (252,451) yields a new equation: % 34.57/10.26 | (453) e3 = e2 % 34.57/10.26 | % 34.57/10.26 | Equations (453) can reduce 223 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (455) ~ (all_0_46_46 = e3) % 34.57/10.26 | (456) all_0_59_59 = e3 % 34.57/10.26 | % 34.57/10.26 | Equations (456) can reduce 249 to: % 34.57/10.26 | (434) ~ (all_0_43_43 = e3) % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (1634), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (614) all_0_43_43 = e4 % 34.57/10.26 | % 34.57/10.26 | Equations (614) can reduce 712 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (712) ~ (all_0_43_43 = e4) % 34.57/10.26 | (2084) all_0_43_43 = e3 | all_0_43_43 = e1 % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (722), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (714) all_0_50_50 = e4 % 34.57/10.26 | % 34.57/10.26 | Equations (714) can reduce 238 to: % 34.57/10.26 | (712) ~ (all_0_43_43 = e4) % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (100), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (618) all_0_43_43 = e1 % 34.57/10.26 | % 34.57/10.26 | Equations (618) can reduce 712 to: % 34.57/10.26 | (605) ~ (e4 = e1) % 34.57/10.26 | % 34.57/10.26 | Simplifying 605 yields: % 34.57/10.26 | (247) ~ (e4 = e1) % 34.57/10.26 | % 34.57/10.26 | Equations (618) can reduce 253 to: % 34.57/10.26 | (565) ~ (e2 = e1) % 34.57/10.26 | % 34.57/10.26 | Simplifying 565 yields: % 34.57/10.26 | (144) ~ (e2 = e1) % 34.57/10.26 | % 34.57/10.26 | Equations (618) can reduce 117 to: % 34.57/10.26 | (134) ~ (e1 = e0) % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (228), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (748) all_0_48_48 = e1 % 34.57/10.26 | % 34.57/10.26 | Combining equations (380,748) yields a new equation: % 34.57/10.26 | (590) e1 = e0 % 34.57/10.26 | % 34.57/10.26 | Equations (590) can reduce 134 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (802) ~ (all_0_48_48 = e1) % 34.57/10.26 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (87), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (572) all_0_44_44 = e2 % 34.57/10.26 | % 34.57/10.26 | Equations (572) can reduce 915 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (915) ~ (all_0_44_44 = e2) % 34.57/10.26 | (2069) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (803), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (1580) all_0_49_49 = e1 % 34.57/10.26 | % 34.57/10.26 | Combining equations (368,1580) yields a new equation: % 34.57/10.26 | (584) e2 = e1 % 34.57/10.26 | % 34.57/10.26 | Simplifying 584 yields: % 34.57/10.26 | (585) e2 = e1 % 34.57/10.26 | % 34.57/10.26 | Equations (585) can reduce 144 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (506) ~ (all_0_49_49 = e1) % 34.57/10.26 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (2069), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (1096) all_0_44_44 = e4 % 34.57/10.26 | % 34.57/10.26 | Equations (1096) can reduce 474 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (474) ~ (all_0_44_44 = e4) % 34.57/10.26 | (2073) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (1585), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (627) all_0_50_50 = e1 % 34.57/10.26 | % 34.57/10.26 | Combining equations (714,627) yields a new equation: % 34.57/10.26 | (540) e4 = e1 % 34.57/10.26 | % 34.57/10.26 | Simplifying 540 yields: % 34.57/10.26 | (541) e4 = e1 % 34.57/10.26 | % 34.57/10.26 | Equations (541) can reduce 247 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (678) ~ (all_0_50_50 = e1) % 34.57/10.26 | (1590) all_0_51_51 = e1 % 34.57/10.26 | % 34.57/10.26 | Equations (1590) can reduce 161 to: % 34.57/10.26 | (512) ~ (all_0_44_44 = e1) % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (2073), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (705) all_0_44_44 = e1 % 34.57/10.26 | % 34.57/10.26 | Equations (705) can reduce 512 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (512) ~ (all_0_44_44 = e1) % 34.57/10.26 | (2077) all_0_44_44 = e3 | all_0_44_44 = e0 % 34.57/10.26 | % 34.57/10.26 +-Applying beta-rule and splitting (2077), into two cases. % 34.57/10.26 |-Branch one: % 34.57/10.26 | (2078) all_0_44_44 = e0 % 34.57/10.26 | % 34.57/10.26 | Equations (2078) can reduce 330 to: % 34.57/10.26 | (303) $false % 34.57/10.26 | % 34.57/10.26 |-The branch is then unsatisfiable % 34.57/10.26 |-Branch two: % 34.57/10.26 | (330) ~ (all_0_44_44 = e0) % 34.57/10.26 | (2081) all_0_44_44 = e3 % 34.57/10.26 | % 34.57/10.26 | Equations (2081) can reduce 310 to: % 34.57/10.26 | (303) $false % 34.57/10.27 | % 34.57/10.27 |-The branch is then unsatisfiable % 34.57/10.27 |-Branch two: % 34.57/10.27 | (622) ~ (all_0_43_43 = e1) % 34.57/10.27 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 34.57/10.27 | % 34.57/10.27 +-Applying beta-rule and splitting (2084), into two cases. % 34.57/10.27 |-Branch one: % 34.57/10.27 | (618) all_0_43_43 = e1 % 34.57/10.27 | % 34.57/10.27 | Equations (618) can reduce 622 to: % 34.57/10.27 | (303) $false % 34.57/10.27 | % 34.57/10.27 |-The branch is then unsatisfiable % 34.57/10.27 |-Branch two: % 34.57/10.27 | (622) ~ (all_0_43_43 = e1) % 34.57/10.27 | (447) all_0_43_43 = e3 % 34.57/10.27 | % 34.57/10.27 | Equations (447) can reduce 434 to: % 34.57/10.27 | (303) $false % 34.57/10.27 | % 34.57/10.27 |-The branch is then unsatisfiable % 34.57/10.27 |-Branch two: % 34.57/10.27 | (611) ~ (all_0_50_50 = e4) % 34.57/10.27 | (1501) all_0_51_51 = e4 % 34.57/10.27 | % 34.57/10.27 | Equations (1501) can reduce 1504 to: % 34.57/10.27 | (303) $false % 34.57/10.27 | % 34.57/10.27 |-The branch is then unsatisfiable % 34.57/10.27 |-Branch two: % 34.57/10.27 | (350) ~ (all_0_60_60 = e4) % 34.57/10.27 | (1906) all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 34.57/10.27 | % 34.57/10.27 +-Applying beta-rule and splitting (1634), into two cases. % 34.57/10.27 |-Branch one: % 34.57/10.27 | (614) all_0_43_43 = e4 % 34.57/10.27 | % 34.57/10.27 | Equations (614) can reduce 712 to: % 34.57/10.27 | (303) $false % 34.57/10.27 | % 34.57/10.27 |-The branch is then unsatisfiable % 34.57/10.27 |-Branch two: % 34.57/10.27 | (712) ~ (all_0_43_43 = e4) % 34.57/10.27 | (2084) all_0_43_43 = e3 | all_0_43_43 = e1 % 34.57/10.27 | % 34.57/10.27 +-Applying beta-rule and splitting (209), into two cases. % 34.57/10.27 |-Branch one: % 34.57/10.27 | (1111) all_0_56_56 = e3 % 34.57/10.27 | % 34.57/10.27 | Combining equations (580,1111) yields a new equation: % 34.57/10.27 | (453) e3 = e2 % 34.57/10.27 | % 34.57/10.27 | Equations (453) can reduce 223 to: % 34.57/10.27 | (303) $false % 34.57/10.27 | % 34.57/10.27 |-The branch is then unsatisfiable % 34.57/10.27 |-Branch two: % 34.57/10.27 | (526) ~ (all_0_56_56 = e3) % 34.57/10.27 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 34.57/10.27 | % 34.57/10.27 +-Applying beta-rule and splitting (1491), into two cases. % 34.57/10.27 |-Branch one: % 34.57/10.27 | (1001) all_0_57_57 = e3 % 34.57/10.27 | % 34.57/10.27 | Combining equations (1001,589) yields a new equation: % 34.57/10.27 | (680) e3 = e1 % 34.57/10.27 | % 34.57/10.27 | Simplifying 680 yields: % 34.57/10.27 | (601) e3 = e1 % 34.57/10.27 | % 34.57/10.27 | Equations (601) can reduce 136 to: % 34.57/10.27 | (303) $false % 34.57/10.27 | % 34.57/10.27 |-The branch is then unsatisfiable % 34.57/10.27 |-Branch two: % 34.57/10.27 | (2590) ~ (all_0_57_57 = e3) % 34.57/10.27 | (2977) all_0_59_59 = e3 | all_0_60_60 = e3 % 34.57/10.27 | % 34.57/10.27 +-Applying beta-rule and splitting (2977), into two cases. % 34.57/10.27 |-Branch one: % 34.57/10.27 | (456) all_0_59_59 = e3 % 34.57/10.27 | % 34.57/10.27 | Equations (456) can reduce 249 to: % 34.57/10.27 | (434) ~ (all_0_43_43 = e3) % 34.57/10.27 | % 34.57/10.27 | Equations (456) can reduce 126 to: % 34.57/10.27 | (15) ~ (all_0_50_50 = e3) % 34.57/10.27 | % 34.57/10.27 +-Applying beta-rule and splitting (2084), into two cases. % 34.57/10.27 |-Branch one: % 34.57/10.27 | (618) all_0_43_43 = e1 % 34.57/10.27 | % 34.57/10.27 | Equations (618) can reduce 238 to: % 34.57/10.27 | (855) ~ (all_0_50_50 = e1) % 34.57/10.27 | % 34.57/10.27 | Simplifying 855 yields: % 34.57/10.27 | (678) ~ (all_0_50_50 = e1) % 34.57/10.27 | % 34.57/10.27 +-Applying beta-rule and splitting (367), into two cases. % 34.57/10.27 |-Branch one: % 34.57/10.27 | (714) all_0_50_50 = e4 % 34.57/10.27 | % 34.57/10.27 | Equations (714) can reduce 15 to: % 34.57/10.27 | (30) ~ (e4 = e3) % 34.57/10.27 | % 34.57/10.27 | Equations (714) can reduce 258 to: % 34.57/10.27 | (231) ~ (e4 = e2) % 34.57/10.27 | % 34.57/10.27 | Equations (714) can reduce 207 to: % 34.57/10.27 | (4) ~ (e4 = e0) % 34.57/10.27 | % 34.57/10.27 +-Applying beta-rule and splitting (243), into two cases. % 34.57/10.27 |-Branch one: % 34.57/10.27 | (877) all_0_56_56 = e4 % 34.57/10.27 | % 34.57/10.27 | Combining equations (877,580) yields a new equation: % 34.57/10.27 | (878) e4 = e2 % 34.57/10.27 | % 34.57/10.27 | Simplifying 878 yields: % 34.57/10.27 | (470) e4 = e2 % 34.57/10.27 | % 34.57/10.27 | Equations (470) can reduce 231 to: % 34.57/10.27 | (303) $false % 34.57/10.27 | % 34.57/10.27 |-The branch is then unsatisfiable % 34.57/10.27 |-Branch two: % 34.57/10.27 | (345) ~ (all_0_56_56 = e4) % 34.57/10.27 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 34.57/10.27 | % 34.57/10.27 +-Applying beta-rule and splitting (4489), into two cases. % 34.57/10.27 |-Branch one: % 34.57/10.27 | (344) all_0_58_58 = e4 % 34.57/10.27 | % 34.57/10.27 | Combining equations (989,344) yields a new equation: % 34.57/10.27 | (654) e4 = e0 % 34.57/10.27 | % 34.57/10.27 | Equations (654) can reduce 4 to: % 34.57/10.27 | (303) $false % 34.57/10.27 | % 34.57/10.27 |-The branch is then unsatisfiable % 34.57/10.27 |-Branch two: % 34.57/10.27 | (3161) ~ (all_0_58_58 = e4) % 34.57/10.27 | (4996) all_0_59_59 = e4 | all_0_60_60 = e4 % 34.57/10.27 | % 34.57/10.27 +-Applying beta-rule and splitting (4996), into two cases. % 34.57/10.27 |-Branch one: % 34.57/10.27 | (717) all_0_59_59 = e4 % 34.57/10.27 | % 34.57/10.27 | Combining equations (717,456) yields a new equation: % 34.57/10.27 | (718) e4 = e3 % 34.57/10.27 | % 34.57/10.27 | Simplifying 718 yields: % 34.57/10.27 | (443) e4 = e3 % 34.57/10.27 | % 34.57/10.27 | Equations (443) can reduce 30 to: % 34.57/10.27 | (303) $false % 34.57/10.27 | % 34.57/10.27 |-The branch is then unsatisfiable % 34.57/10.27 |-Branch two: % 34.57/10.27 | (348) ~ (all_0_59_59 = e4) % 34.57/10.27 | (1510) all_0_60_60 = e4 % 34.57/10.27 | % 34.57/10.27 | Equations (1510) can reduce 350 to: % 34.57/10.27 | (303) $false % 34.57/10.27 | % 34.57/10.27 |-The branch is then unsatisfiable % 34.57/10.27 |-Branch two: % 34.57/10.27 | (611) ~ (all_0_50_50 = e4) % 34.57/10.27 | (627) all_0_50_50 = e1 % 34.57/10.27 | % 34.57/10.27 | Equations (627) can reduce 678 to: % 34.57/10.27 | (303) $false % 34.57/10.27 | % 34.57/10.27 |-The branch is then unsatisfiable % 34.57/10.27 |-Branch two: % 34.57/10.27 | (622) ~ (all_0_43_43 = e1) % 34.57/10.27 | (447) all_0_43_43 = e3 % 34.57/10.27 | % 34.57/10.27 | Equations (447) can reduce 434 to: % 34.57/10.27 | (303) $false % 34.57/10.27 | % 34.57/10.27 |-The branch is then unsatisfiable % 34.57/10.27 |-Branch two: % 34.57/10.27 | (1031) ~ (all_0_59_59 = e3) % 34.57/10.27 | (1937) all_0_60_60 = e3 % 34.57/10.27 | % 34.57/10.27 | Equations (1937) can reduce 316 to: % 34.57/10.27 | (303) $false % 34.57/10.27 | % 34.57/10.27 |-The branch is then unsatisfiable % 34.57/10.27 |-Branch two: % 34.57/10.27 | (447) all_0_43_43 = e3 % 34.57/10.27 | (696) all_0_41_41 = e1 % 34.57/10.27 | % 34.57/10.27 | Combining equations (398,696) yields a new equation: % 34.57/10.27 | (590) e1 = e0 % 34.57/10.27 | % 34.57/10.27 | Equations (590) can reduce 134 to: % 34.57/10.27 | (303) $false % 34.57/10.27 | % 34.57/10.27 |-The branch is then unsatisfiable % 34.57/10.27 |-Branch two: % 34.57/10.27 | (1937) all_0_60_60 = e3 % 34.57/10.27 | (407) all_0_57_57 = e0 % 34.57/10.27 | % 34.57/10.27 | Combining equations (589,407) yields a new equation: % 34.57/10.27 | (670) e1 = e0 % 34.57/10.27 | % 34.57/10.27 | Simplifying 670 yields: % 34.57/10.27 | (590) e1 = e0 % 34.57/10.27 | % 34.57/10.27 | Equations (590) can reduce 134 to: % 34.57/10.27 | (303) $false % 34.57/10.27 | % 34.57/10.27 |-The branch is then unsatisfiable % 34.57/10.27 |-Branch two: % 34.57/10.27 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 34.57/10.27 | % 34.57/10.27 | Applying alpha-rule on (528) yields: % 34.57/10.27 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 34.57/10.27 | (530) all_0_55_55 = e1 % 34.57/10.27 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 34.57/10.27 | (387) ~ (all_0_49_49 = e0) % 34.57/10.27 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 34.57/10.27 | (534) ~ (all_0_45_45 = e0) % 34.57/10.27 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 34.57/10.27 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 34.57/10.27 | (537) ~ (unit = e0) % 34.57/10.27 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 34.57/10.27 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 34.57/10.27 | % 34.57/10.27 | Combining equations (932,530) yields a new equation: % 34.57/10.27 | (584) e2 = e1 % 34.57/10.27 | % 34.57/10.27 | Simplifying 584 yields: % 34.57/10.27 | (585) e2 = e1 % 34.57/10.27 | % 34.57/10.27 | Equations (585) can reduce 144 to: % 34.57/10.27 | (303) $false % 34.57/10.27 | % 34.57/10.27 |-The branch is then unsatisfiable % 34.57/10.27 |-Branch two: % 34.57/10.27 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 34.57/10.27 | % 34.57/10.27 | Applying alpha-rule on (543) yields: % 34.57/10.27 | (544) ~ (all_0_48_48 = e2) % 34.57/10.27 | (369) ~ (all_0_41_41 = e2) % 34.57/10.27 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 34.57/10.27 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 34.57/10.27 | (253) ~ (all_0_43_43 = e2) % 34.57/10.27 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 34.57/10.27 | (276) ~ (all_0_55_55 = e2) % 34.57/10.27 | (260) ~ (all_0_59_59 = e2) % 34.57/10.27 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 34.57/10.27 | (274) ~ (all_0_53_53 = e2) % 34.57/10.27 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 34.57/10.27 | (373) ~ (all_0_51_51 = e2) % 34.57/10.27 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 34.57/10.27 | (256) ~ (all_0_47_47 = e2) % 34.57/10.27 | (377) ~ (all_0_57_57 = e2) % 34.57/10.27 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 34.57/10.27 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 34.57/10.27 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 34.57/10.27 | (258) ~ (all_0_50_50 = e2) % 34.57/10.27 | (254) ~ (all_0_45_45 = e2) % 34.57/10.27 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 34.57/10.27 | % 34.57/10.27 | Equations (932) can reduce 276 to: % 34.57/10.27 | (303) $false % 34.57/10.27 | % 34.57/10.27 |-The branch is then unsatisfiable % 34.57/10.27 |-Branch two: % 34.57/10.27 | (502) ~ (all_0_52_52 = e1) % 34.57/10.27 | (425) all_0_52_52 = e3 % 34.57/10.27 | % 34.57/10.27 | Equations (425) can reduce 521 to: % 34.57/10.27 | (303) $false % 34.57/10.27 | % 34.57/10.27 |-The branch is then unsatisfiable % 34.57/10.27 |-Branch two: % 34.57/10.27 | (592) ~ (all_0_57_57 = e1) % 34.57/10.27 | (3062) all_0_57_57 = e3 | all_0_57_57 = e0 % 34.57/10.27 | % 34.57/10.27 +-Applying beta-rule and splitting (3062), into two cases. % 34.57/10.27 |-Branch one: % 34.57/10.27 | (407) all_0_57_57 = e0 % 34.57/10.27 | % 34.57/10.27 | Equations (407) can reduce 2273 to: % 34.57/10.27 | (303) $false % 34.57/10.27 | % 34.57/10.27 |-The branch is then unsatisfiable % 34.57/10.27 |-Branch two: % 34.57/10.27 | (2273) ~ (all_0_57_57 = e0) % 34.57/10.27 | (1001) all_0_57_57 = e3 % 34.57/10.27 | % 34.57/10.27 | Equations (1001) can reduce 2590 to: % 34.57/10.27 | (303) $false % 34.57/10.27 | % 34.57/10.27 |-The branch is then unsatisfiable % 34.57/10.27 |-Branch two: % 34.57/10.27 | (428) ~ (all_0_53_53 = e3) % 34.57/10.27 | (2165) all_0_55_55 = e3 % 34.57/10.27 | % 34.57/10.27 | Combining equations (932,2165) yields a new equation: % 34.57/10.27 | (453) e3 = e2 % 34.57/10.27 | % 34.57/10.27 | Equations (453) can reduce 223 to: % 34.57/10.27 | (303) $false % 34.57/10.27 | % 34.57/10.27 |-The branch is then unsatisfiable % 34.57/10.27 |-Branch two: % 34.57/10.27 | (844) ~ (all_0_40_40 = e4) % 34.57/10.27 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 34.57/10.27 | % 34.57/10.27 +-Applying beta-rule and splitting (1772), into two cases. % 34.57/10.27 |-Branch one: % 34.57/10.27 | (442) all_0_52_52 = e4 % 34.57/10.27 | % 34.57/10.27 | Equations (442) can reduce 445 to: % 34.57/10.27 | (303) $false % 34.57/10.27 | % 34.57/10.27 |-The branch is then unsatisfiable % 34.57/10.27 |-Branch two: % 34.57/10.27 | (445) ~ (all_0_52_52 = e4) % 34.57/10.27 | (1795) all_0_52_52 = e3 | all_0_52_52 = e1 % 34.57/10.27 | % 34.57/10.27 +-Applying beta-rule and splitting (64), into two cases. % 34.57/10.27 |-Branch one: % 34.57/10.27 | (425) all_0_52_52 = e3 % 34.57/10.27 | % 34.57/10.27 | Equations (425) can reduce 521 to: % 34.57/10.27 | (303) $false % 34.57/10.27 | % 34.57/10.27 |-The branch is then unsatisfiable % 34.57/10.27 |-Branch two: % 34.57/10.27 | (521) ~ (all_0_52_52 = e3) % 34.57/10.27 | (1006) all_0_53_53 = e3 | all_0_55_55 = e3 % 34.57/10.27 | % 34.57/10.27 +-Applying beta-rule and splitting (1795), into two cases. % 34.57/10.27 |-Branch one: % 34.57/10.27 | (1070) all_0_52_52 = e1 % 34.57/10.27 | % 34.57/10.27 | Equations (1070) can reduce 188 to: % 34.57/10.27 | (683) ~ (all_0_40_40 = e1) % 34.57/10.27 | % 34.57/10.27 | Equations (1070) can reduce 273 to: % 34.57/10.27 | (565) ~ (e2 = e1) % 34.57/10.27 | % 34.57/10.27 | Simplifying 565 yields: % 34.57/10.27 | (144) ~ (e2 = e1) % 34.57/10.27 | % 34.57/10.27 | Equations (1070) can reduce 78 to: % 34.57/10.27 | (134) ~ (e1 = e0) % 34.57/10.27 | % 34.57/10.27 +-Applying beta-rule and splitting (1006), into two cases. % 34.57/10.27 |-Branch one: % 34.57/10.27 | (994) all_0_53_53 = e3 % 34.57/10.27 | % 34.57/10.27 | Equations (994) can reduce 229 to: % 34.57/10.27 | (439) ~ (e4 = e3) % 34.57/10.27 | % 34.57/10.27 | Simplifying 439 yields: % 34.57/10.27 | (30) ~ (e4 = e3) % 34.57/10.27 | % 34.57/10.27 +-Applying beta-rule and splitting (56), into two cases. % 34.57/10.27 |-Branch one: % 34.57/10.27 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 34.57/10.27 | % 34.57/10.27 +-Applying beta-rule and splitting (480), into two cases. % 34.57/10.27 |-Branch one: % 34.57/10.27 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 34.57/10.27 | % 34.57/10.27 +-Applying beta-rule and splitting (481), into two cases. % 34.57/10.27 |-Branch one: % 34.57/10.27 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 34.57/10.27 | % 34.57/10.27 +-Applying beta-rule and splitting (482), into two cases. % 34.57/10.27 |-Branch one: % 34.57/10.27 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 34.57/10.27 | % 34.57/10.27 | Applying alpha-rule on (483) yields: % 34.57/10.27 | (484) ~ (unit = e4) % 34.57/10.27 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 34.57/10.28 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 34.57/10.28 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 34.57/10.28 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 34.57/10.28 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 34.57/10.28 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 34.57/10.28 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 34.57/10.28 | (492) ~ (all_0_55_55 = e4) % 34.57/10.28 | (493) all_0_45_45 = e3 % 34.57/10.28 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 34.57/10.28 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 34.57/10.28 | % 34.57/10.28 +-Applying beta-rule and splitting (485), into two cases. % 34.57/10.28 |-Branch one: % 34.57/10.28 | (472) ~ (all_0_54_54 = e4) % 34.57/10.28 | % 34.57/10.28 | Equations (469) can reduce 472 to: % 34.57/10.28 | (303) $false % 34.57/10.28 | % 34.57/10.28 |-The branch is then unsatisfiable % 34.57/10.28 |-Branch two: % 34.57/10.28 | (469) all_0_54_54 = e4 % 34.57/10.28 | (980) all_0_52_52 = e2 % 34.57/10.28 | % 34.57/10.28 | Combining equations (980,1070) yields a new equation: % 34.57/10.28 | (584) e2 = e1 % 34.57/10.28 | % 34.57/10.28 | Simplifying 584 yields: % 34.57/10.28 | (585) e2 = e1 % 34.57/10.28 | % 34.57/10.28 | Equations (585) can reduce 144 to: % 34.57/10.28 | (303) $false % 34.57/10.28 | % 34.57/10.28 |-The branch is then unsatisfiable % 34.57/10.28 |-Branch two: % 34.57/10.28 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 34.57/10.28 | % 34.57/10.28 | Applying alpha-rule on (499) yields: % 34.57/10.28 | (500) ~ (all_0_51_51 = e1) % 34.57/10.28 | (501) ~ (all_0_60_60 = e1) % 34.57/10.28 | (502) ~ (all_0_52_52 = e1) % 34.57/10.28 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 34.57/10.28 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 34.57/10.28 | (252) all_0_46_46 = e2 % 34.57/10.28 | (506) ~ (all_0_49_49 = e1) % 34.57/10.28 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 34.57/10.28 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 34.57/10.28 | (509) ~ (all_0_53_53 = e1) % 34.57/10.28 | (510) ~ (unit = e1) % 34.57/10.28 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 34.57/10.28 | (512) ~ (all_0_44_44 = e1) % 34.57/10.28 | % 34.57/10.28 | Equations (1070) can reduce 502 to: % 34.57/10.28 | (303) $false % 34.57/10.28 | % 34.57/10.28 |-The branch is then unsatisfiable % 34.57/10.28 |-Branch two: % 34.57/10.28 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 34.57/10.28 | % 34.57/10.28 | Applying alpha-rule on (514) yields: % 34.57/10.28 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 34.57/10.28 | (516) ~ (all_0_47_47 = e3) % 34.57/10.28 | (314) ~ (all_0_55_55 = e3) % 34.57/10.28 | (368) all_0_49_49 = e2 % 34.57/10.28 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 34.57/10.28 | (520) ~ (unit = e3) % 34.57/10.28 | (521) ~ (all_0_52_52 = e3) % 34.57/10.28 | (455) ~ (all_0_46_46 = e3) % 34.57/10.28 | (432) ~ (all_0_40_40 = e3) % 34.57/10.28 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 34.57/10.28 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 34.57/10.28 | (526) ~ (all_0_56_56 = e3) % 34.57/10.28 | % 34.57/10.28 | Equations (580) can reduce 526 to: % 34.57/10.28 | (577) ~ (e3 = e2) % 34.57/10.28 | % 34.57/10.28 | Simplifying 577 yields: % 34.57/10.28 | (223) ~ (e3 = e2) % 34.57/10.28 | % 34.57/10.28 +-Applying beta-rule and splitting (524), into two cases. % 34.57/10.28 |-Branch one: % 34.57/10.28 | (434) ~ (all_0_43_43 = e3) % 34.57/10.28 | % 34.57/10.28 +-Applying beta-rule and splitting (137), into two cases. % 34.57/10.28 |-Branch one: % 34.57/10.28 | (447) all_0_43_43 = e3 % 34.57/10.28 | % 34.57/10.28 | Equations (447) can reduce 434 to: % 34.57/10.28 | (303) $false % 34.57/10.28 | % 34.57/10.28 |-The branch is then unsatisfiable % 34.57/10.28 |-Branch two: % 34.57/10.28 | (434) ~ (all_0_43_43 = e3) % 34.57/10.28 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 34.57/10.28 | % 34.57/10.28 +-Applying beta-rule and splitting (450), into two cases. % 34.57/10.28 |-Branch one: % 34.57/10.28 | (451) all_0_46_46 = e3 % 34.57/10.28 | % 34.57/10.28 | Combining equations (252,451) yields a new equation: % 34.57/10.28 | (453) e3 = e2 % 34.57/10.28 | % 34.57/10.28 | Equations (453) can reduce 223 to: % 34.57/10.28 | (303) $false % 34.57/10.28 | % 34.57/10.28 |-The branch is then unsatisfiable % 34.57/10.28 |-Branch two: % 34.57/10.28 | (455) ~ (all_0_46_46 = e3) % 34.57/10.28 | (456) all_0_59_59 = e3 % 34.57/10.28 | % 34.57/10.28 | Equations (456) can reduce 249 to: % 34.57/10.28 | (434) ~ (all_0_43_43 = e3) % 34.57/10.28 | % 34.57/10.28 | Equations (456) can reduce 216 to: % 34.57/10.28 | (70) ~ (e3 = e0) % 34.57/10.28 | % 34.57/10.28 +-Applying beta-rule and splitting (200), into two cases. % 34.57/10.28 |-Branch one: % 34.57/10.28 | (1102) all_0_40_40 = e3 % 34.57/10.28 | % 34.57/10.28 | Equations (1102) can reduce 432 to: % 34.57/10.28 | (303) $false % 34.57/10.28 | % 34.57/10.28 |-The branch is then unsatisfiable % 34.57/10.28 |-Branch two: % 34.57/10.28 | (432) ~ (all_0_40_40 = e3) % 34.57/10.28 | (2138) all_0_41_41 = e3 | all_0_43_43 = e3 | all_0_44_44 = e3 % 34.57/10.28 | % 34.57/10.28 +-Applying beta-rule and splitting (2138), into two cases. % 34.57/10.28 |-Branch one: % 34.57/10.28 | (431) all_0_41_41 = e3 % 34.57/10.28 | % 34.57/10.28 | Combining equations (398,431) yields a new equation: % 34.57/10.28 | (497) e3 = e0 % 34.57/10.28 | % 34.57/10.28 | Equations (497) can reduce 70 to: % 34.57/10.28 | (303) $false % 34.57/10.28 | % 34.57/10.28 |-The branch is then unsatisfiable % 34.57/10.28 |-Branch two: % 34.57/10.28 | (996) ~ (all_0_41_41 = e3) % 34.57/10.28 | (5989) all_0_43_43 = e3 | all_0_44_44 = e3 % 34.57/10.28 | % 34.77/10.28 +-Applying beta-rule and splitting (5989), into two cases. % 34.77/10.28 |-Branch one: % 34.77/10.28 | (447) all_0_43_43 = e3 % 34.77/10.28 | % 34.77/10.28 | Equations (447) can reduce 434 to: % 34.77/10.28 | (303) $false % 34.77/10.28 | % 34.77/10.28 |-The branch is then unsatisfiable % 34.77/10.28 |-Branch two: % 34.77/10.28 | (434) ~ (all_0_43_43 = e3) % 34.77/10.28 | (2081) all_0_44_44 = e3 % 34.77/10.28 | % 34.77/10.28 | Equations (2081) can reduce 124 to: % 34.77/10.28 | (432) ~ (all_0_40_40 = e3) % 34.77/10.28 | % 34.77/10.28 +-Applying beta-rule and splitting (21), into two cases. % 34.77/10.28 |-Branch one: % 34.77/10.28 | (723) all_0_40_40 = e4 % 34.77/10.28 | % 34.77/10.28 | Equations (723) can reduce 844 to: % 34.77/10.28 | (303) $false % 34.77/10.28 | % 34.77/10.28 |-The branch is then unsatisfiable % 34.77/10.28 |-Branch two: % 34.77/10.28 | (844) ~ (all_0_40_40 = e4) % 34.77/10.28 | (6577) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 34.77/10.28 | % 34.77/10.28 +-Applying beta-rule and splitting (6577), into two cases. % 34.77/10.28 |-Branch one: % 34.77/10.28 | (3175) all_0_42_42 = e4 % 34.77/10.28 | % 34.77/10.28 | Combining equations (959,3175) yields a new equation: % 34.77/10.28 | (470) e4 = e2 % 34.77/10.28 | % 34.77/10.28 | Equations (470) can reduce 231 to: % 34.77/10.28 | (303) $false % 34.77/10.28 | % 34.77/10.28 |-The branch is then unsatisfiable % 34.77/10.28 |-Branch two: % 34.77/10.28 | (6245) ~ (all_0_42_42 = e4) % 34.77/10.28 | (6600) all_0_43_43 = e4 | all_0_44_44 = e4 % 34.77/10.28 | % 34.77/10.28 +-Applying beta-rule and splitting (6600), into two cases. % 34.77/10.28 |-Branch one: % 34.77/10.28 | (614) all_0_43_43 = e4 % 34.77/10.28 | % 34.77/10.28 | Equations (614) can reduce 8 to: % 34.77/10.28 | (844) ~ (all_0_40_40 = e4) % 34.77/10.28 | % 34.77/10.28 +-Applying beta-rule and splitting (233), into two cases. % 34.77/10.28 |-Branch one: % 34.77/10.28 | (917) all_0_40_40 = e2 % 34.77/10.28 | % 34.77/10.28 | Equations (917) can reduce 939 to: % 34.77/10.28 | (303) $false % 34.77/10.28 | % 34.77/10.28 |-The branch is then unsatisfiable % 34.77/10.28 |-Branch two: % 34.77/10.28 | (939) ~ (all_0_40_40 = e2) % 34.77/10.28 | (2671) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 34.77/10.28 | % 34.77/10.28 +-Applying beta-rule and splitting (2671), into two cases. % 34.77/10.28 |-Branch one: % 34.77/10.28 | (723) all_0_40_40 = e4 % 34.77/10.28 | % 34.77/10.28 | Equations (723) can reduce 844 to: % 34.77/10.28 | (303) $false % 34.77/10.28 | % 34.77/10.28 |-The branch is then unsatisfiable % 34.77/10.28 |-Branch two: % 34.77/10.28 | (844) ~ (all_0_40_40 = e4) % 34.77/10.28 | (2800) all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 34.77/10.28 | % 34.77/10.28 +-Applying beta-rule and splitting (2800), into two cases. % 34.77/10.28 |-Branch one: % 34.77/10.28 | (624) all_0_40_40 = e1 % 34.77/10.28 | % 34.77/10.28 | Equations (624) can reduce 683 to: % 34.77/10.28 | (303) $false % 34.77/10.28 | % 34.77/10.28 |-The branch is then unsatisfiable % 34.77/10.28 |-Branch two: % 34.77/10.28 | (683) ~ (all_0_40_40 = e1) % 34.77/10.28 | (2833) all_0_40_40 = e3 | all_0_40_40 = e0 % 34.77/10.28 | % 34.77/10.28 +-Applying beta-rule and splitting (2833), into two cases. % 34.77/10.28 |-Branch one: % 34.77/10.28 | (2834) all_0_40_40 = e0 % 34.77/10.28 | % 34.77/10.28 | Equations (2834) can reduce 288 to: % 34.77/10.28 | (303) $false % 34.77/10.28 | % 34.77/10.28 |-The branch is then unsatisfiable % 34.77/10.28 |-Branch two: % 34.77/10.28 | (288) ~ (all_0_40_40 = e0) % 34.77/10.28 | (1102) all_0_40_40 = e3 % 34.77/10.28 | % 34.77/10.28 | Equations (1102) can reduce 432 to: % 34.77/10.28 | (303) $false % 34.77/10.28 | % 34.77/10.28 |-The branch is then unsatisfiable % 34.77/10.28 |-Branch two: % 34.77/10.28 | (712) ~ (all_0_43_43 = e4) % 34.77/10.28 | (1096) all_0_44_44 = e4 % 34.77/10.28 | % 34.77/10.28 | Combining equations (2081,1096) yields a new equation: % 34.77/10.28 | (443) e4 = e3 % 34.77/10.28 | % 34.77/10.28 | Equations (443) can reduce 30 to: % 34.77/10.28 | (303) $false % 34.77/10.28 | % 34.77/10.28 |-The branch is then unsatisfiable % 34.77/10.28 |-Branch two: % 34.77/10.28 | (447) all_0_43_43 = e3 % 34.77/10.28 | (696) all_0_41_41 = e1 % 34.77/10.28 | % 34.77/10.28 | Combining equations (398,696) yields a new equation: % 34.77/10.28 | (590) e1 = e0 % 34.77/10.28 | % 34.77/10.28 | Equations (590) can reduce 134 to: % 34.77/10.28 | (303) $false % 34.77/10.28 | % 34.77/10.28 |-The branch is then unsatisfiable % 34.77/10.28 |-Branch two: % 34.77/10.28 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 34.77/10.28 | % 34.77/10.28 | Applying alpha-rule on (528) yields: % 34.77/10.28 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 34.77/10.28 | (530) all_0_55_55 = e1 % 34.77/10.28 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 34.77/10.28 | (387) ~ (all_0_49_49 = e0) % 34.77/10.28 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 34.77/10.28 | (534) ~ (all_0_45_45 = e0) % 34.77/10.28 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 34.77/10.28 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 34.77/10.28 | (537) ~ (unit = e0) % 34.77/10.28 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 34.77/10.28 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 34.77/10.28 | % 34.77/10.28 | Combining equations (932,530) yields a new equation: % 34.77/10.28 | (584) e2 = e1 % 34.77/10.28 | % 34.77/10.28 | Simplifying 584 yields: % 34.77/10.28 | (585) e2 = e1 % 34.77/10.28 | % 34.77/10.28 | Equations (585) can reduce 144 to: % 34.77/10.28 | (303) $false % 34.77/10.28 | % 34.77/10.28 |-The branch is then unsatisfiable % 34.77/10.28 |-Branch two: % 34.77/10.28 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 34.77/10.28 | % 34.77/10.28 | Applying alpha-rule on (543) yields: % 34.77/10.28 | (544) ~ (all_0_48_48 = e2) % 34.77/10.28 | (369) ~ (all_0_41_41 = e2) % 34.77/10.28 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 34.77/10.28 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 34.77/10.28 | (253) ~ (all_0_43_43 = e2) % 34.77/10.28 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 34.77/10.28 | (276) ~ (all_0_55_55 = e2) % 34.77/10.28 | (260) ~ (all_0_59_59 = e2) % 34.77/10.28 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 34.77/10.28 | (274) ~ (all_0_53_53 = e2) % 34.77/10.28 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 34.77/10.28 | (373) ~ (all_0_51_51 = e2) % 34.77/10.28 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 34.77/10.28 | (256) ~ (all_0_47_47 = e2) % 34.77/10.28 | (377) ~ (all_0_57_57 = e2) % 34.77/10.28 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 34.77/10.28 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 34.77/10.28 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 34.77/10.28 | (258) ~ (all_0_50_50 = e2) % 34.77/10.28 | (254) ~ (all_0_45_45 = e2) % 34.77/10.28 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 34.77/10.28 | % 34.77/10.28 | Equations (932) can reduce 276 to: % 34.77/10.28 | (303) $false % 34.77/10.28 | % 34.77/10.28 |-The branch is then unsatisfiable % 34.77/10.28 |-Branch two: % 34.77/10.28 | (428) ~ (all_0_53_53 = e3) % 34.77/10.28 | (2165) all_0_55_55 = e3 % 34.77/10.28 | % 34.77/10.28 | Combining equations (932,2165) yields a new equation: % 34.77/10.28 | (453) e3 = e2 % 34.77/10.28 | % 34.77/10.28 | Equations (453) can reduce 223 to: % 34.77/10.28 | (303) $false % 34.77/10.28 | % 34.77/10.28 |-The branch is then unsatisfiable % 34.77/10.28 |-Branch two: % 34.77/10.28 | (502) ~ (all_0_52_52 = e1) % 34.77/10.28 | (425) all_0_52_52 = e3 % 34.77/10.28 | % 34.77/10.28 | Equations (425) can reduce 521 to: % 34.77/10.28 | (303) $false % 34.77/10.28 | % 34.77/10.28 |-The branch is then unsatisfiable % 34.77/10.28 |-Branch two: % 34.77/10.28 | (594) ~ (all_0_56_56 = e2) % 34.77/10.28 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 34.77/10.28 | % 34.77/10.28 +-Applying beta-rule and splitting (250), into two cases. % 34.77/10.28 |-Branch one: % 34.77/10.28 | (897) all_0_57_57 = e2 % 34.77/10.28 | % 34.77/10.28 | Equations (897) can reduce 377 to: % 34.77/10.28 | (303) $false % 34.77/10.28 | % 34.77/10.28 |-The branch is then unsatisfiable % 34.77/10.28 |-Branch two: % 34.77/10.28 | (377) ~ (all_0_57_57 = e2) % 34.77/10.28 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 34.77/10.28 | % 34.77/10.28 +-Applying beta-rule and splitting (896), into two cases. % 34.77/10.28 |-Branch one: % 34.77/10.28 | (897) all_0_57_57 = e2 % 34.77/10.28 | % 34.77/10.28 | Equations (897) can reduce 377 to: % 34.77/10.28 | (303) $false % 34.77/10.28 | % 34.77/10.28 |-The branch is then unsatisfiable % 34.77/10.28 |-Branch two: % 34.77/10.28 | (377) ~ (all_0_57_57 = e2) % 34.77/10.28 | (902) all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 34.77/10.28 | % 34.77/10.28 +-Applying beta-rule and splitting (902), into two cases. % 34.77/10.28 |-Branch one: % 34.77/10.28 | (340) all_0_58_58 = e2 % 34.77/10.28 | % 34.77/10.28 | Combining equations (989,340) yields a new equation: % 34.77/10.28 | (385) e2 = e0 % 34.77/10.28 | % 34.77/10.28 | Equations (385) can reduce 51 to: % 34.77/10.28 | (303) $false % 34.77/10.28 | % 34.77/10.28 |-The branch is then unsatisfiable % 34.77/10.28 |-Branch two: % 34.77/10.28 | (278) ~ (all_0_58_58 = e2) % 34.77/10.28 | (908) all_0_59_59 = e2 | all_0_60_60 = e2 % 34.77/10.28 | % 34.77/10.28 +-Applying beta-rule and splitting (908), into two cases. % 34.77/10.28 |-Branch one: % 34.77/10.28 | (909) all_0_59_59 = e2 % 34.77/10.28 | % 34.77/10.28 | Equations (909) can reduce 260 to: % 34.77/10.28 | (303) $false % 34.77/10.28 | % 34.77/10.28 |-The branch is then unsatisfiable % 34.77/10.28 |-Branch two: % 34.77/10.28 | (260) ~ (all_0_59_59 = e2) % 34.77/10.28 | (913) all_0_60_60 = e2 % 34.77/10.28 | % 34.77/10.28 | Equations (913) can reduce 571 to: % 34.77/10.28 | (303) $false % 34.77/10.28 | % 34.77/10.28 |-The branch is then unsatisfiable % 34.77/10.29 |-Branch two: % 34.77/10.29 | (326) ~ (all_0_41_41 = e0) % 34.77/10.29 | (401) all_0_49_49 = e0 | all_0_57_57 = e0 % 34.77/10.29 | % 34.77/10.29 +-Applying beta-rule and splitting (401), into two cases. % 34.77/10.29 |-Branch one: % 34.77/10.29 | (384) all_0_49_49 = e0 % 34.77/10.29 | % 34.77/10.29 | Combining equations (368,384) yields a new equation: % 34.77/10.29 | (403) e2 = e0 % 34.77/10.29 | % 34.77/10.29 | Simplifying 403 yields: % 34.77/10.29 | (385) e2 = e0 % 34.77/10.29 | % 34.77/10.29 | Equations (385) can reduce 51 to: % 34.77/10.29 | (303) $false % 34.77/10.29 | % 34.77/10.29 |-The branch is then unsatisfiable % 34.77/10.29 |-Branch two: % 34.77/10.29 | (387) ~ (all_0_49_49 = e0) % 34.77/10.29 | (407) all_0_57_57 = e0 % 34.77/10.29 | % 34.77/10.29 | Equations (407) can reduce 2273 to: % 34.77/10.29 | (303) $false % 34.77/10.29 | % 34.77/10.29 |-The branch is then unsatisfiable % 34.77/10.29 |-Branch two: % 34.77/10.29 | (292) ~ (all_0_48_48 = e0) % 34.77/10.29 | (383) all_0_49_49 = e0 | all_0_51_51 = e0 % 34.77/10.29 | % 34.77/10.29 +-Applying beta-rule and splitting (150), into two cases. % 34.77/10.29 |-Branch one: % 34.77/10.29 | (398) all_0_41_41 = e0 % 34.77/10.29 | % 34.77/10.29 | Equations (398) can reduce 369 to: % 34.77/10.29 | (335) ~ (e2 = e0) % 34.77/10.29 | % 34.77/10.29 | Simplifying 335 yields: % 34.77/10.29 | (51) ~ (e2 = e0) % 34.77/10.29 | % 34.77/10.29 +-Applying beta-rule and splitting (383), into two cases. % 34.77/10.29 |-Branch one: % 34.77/10.29 | (384) all_0_49_49 = e0 % 34.77/10.29 | % 34.77/10.29 | Combining equations (368,384) yields a new equation: % 34.77/10.29 | (403) e2 = e0 % 34.77/10.29 | % 34.77/10.29 | Simplifying 403 yields: % 34.77/10.29 | (385) e2 = e0 % 34.77/10.29 | % 34.77/10.29 | Equations (385) can reduce 51 to: % 34.77/10.29 | (303) $false % 34.77/10.29 | % 34.77/10.29 |-The branch is then unsatisfiable % 34.77/10.29 |-Branch two: % 34.77/10.29 | (387) ~ (all_0_49_49 = e0) % 34.77/10.29 | (388) all_0_51_51 = e0 % 34.77/10.29 | % 34.77/10.29 | Equations (388) can reduce 2347 to: % 34.77/10.29 | (303) $false % 34.77/10.29 | % 34.77/10.29 |-The branch is then unsatisfiable % 34.77/10.29 |-Branch two: % 34.77/10.29 | (326) ~ (all_0_41_41 = e0) % 34.77/10.29 | (401) all_0_49_49 = e0 | all_0_57_57 = e0 % 34.77/10.29 | % 34.77/10.29 +-Applying beta-rule and splitting (41), into two cases. % 34.77/10.29 |-Branch one: % 34.77/10.29 | (2834) all_0_40_40 = e0 % 34.77/10.29 | % 34.77/10.29 | Equations (2834) can reduce 939 to: % 34.77/10.29 | (335) ~ (e2 = e0) % 34.77/10.29 | % 34.77/10.29 | Simplifying 335 yields: % 34.77/10.29 | (51) ~ (e2 = e0) % 34.77/10.29 | % 34.77/10.29 +-Applying beta-rule and splitting (383), into two cases. % 34.77/10.29 |-Branch one: % 34.77/10.29 | (384) all_0_49_49 = e0 % 34.77/10.29 | % 34.77/10.29 | Combining equations (368,384) yields a new equation: % 34.77/10.29 | (403) e2 = e0 % 34.77/10.29 | % 34.77/10.29 | Simplifying 403 yields: % 34.77/10.29 | (385) e2 = e0 % 34.77/10.29 | % 34.77/10.29 | Equations (385) can reduce 51 to: % 34.77/10.29 | (303) $false % 34.77/10.29 | % 34.77/10.29 |-The branch is then unsatisfiable % 34.77/10.29 |-Branch two: % 34.77/10.29 | (387) ~ (all_0_49_49 = e0) % 34.77/10.29 | (388) all_0_51_51 = e0 % 34.77/10.29 | % 34.77/10.29 | Equations (388) can reduce 2347 to: % 34.77/10.29 | (303) $false % 34.77/10.29 | % 34.77/10.29 |-The branch is then unsatisfiable % 34.77/10.29 |-Branch two: % 34.77/10.29 | (288) ~ (all_0_40_40 = e0) % 34.77/10.29 | (6377) all_0_45_45 = e0 | all_0_48_48 = e0 | all_0_56_56 = e0 % 34.77/10.29 | % 34.77/10.29 +-Applying beta-rule and splitting (63), into two cases. % 34.77/10.29 |-Branch one: % 34.77/10.29 | (2834) all_0_40_40 = e0 % 34.77/10.29 | % 34.77/10.29 | Equations (2834) can reduce 288 to: % 34.77/10.29 | (303) $false % 34.77/10.29 | % 34.77/10.29 |-The branch is then unsatisfiable % 34.77/10.29 |-Branch two: % 34.77/10.29 | (288) ~ (all_0_40_40 = e0) % 34.77/10.29 | (5766) all_0_41_41 = e0 | all_0_42_42 = e0 | all_0_44_44 = e0 % 34.77/10.29 | % 34.77/10.29 +-Applying beta-rule and splitting (5766), into two cases. % 34.77/10.29 |-Branch one: % 34.77/10.29 | (398) all_0_41_41 = e0 % 34.77/10.29 | % 34.77/10.29 | Equations (398) can reduce 326 to: % 34.77/10.29 | (303) $false % 34.77/10.29 | % 34.77/10.29 |-The branch is then unsatisfiable % 34.77/10.29 |-Branch two: % 34.77/10.29 | (326) ~ (all_0_41_41 = e0) % 34.77/10.29 | (5772) all_0_42_42 = e0 | all_0_44_44 = e0 % 34.77/10.29 | % 34.77/10.29 +-Applying beta-rule and splitting (5772), into two cases. % 34.77/10.29 |-Branch one: % 34.77/10.29 | (324) all_0_42_42 = e0 % 34.77/10.29 | % 34.77/10.29 | Combining equations (959,324) yields a new equation: % 34.77/10.29 | (403) e2 = e0 % 34.77/10.29 | % 34.77/10.29 | Simplifying 403 yields: % 34.77/10.29 | (385) e2 = e0 % 34.77/10.29 | % 34.77/10.29 | Equations (385) can reduce 51 to: % 34.77/10.29 | (303) $false % 34.77/10.29 | % 34.77/10.29 |-The branch is then unsatisfiable % 34.77/10.29 |-Branch two: % 34.77/10.29 | (3164) ~ (all_0_42_42 = e0) % 34.77/10.29 | (2078) all_0_44_44 = e0 % 34.77/10.29 | % 34.77/10.29 | Equations (2078) can reduce 330 to: % 34.77/10.29 | (303) $false % 34.77/10.29 | % 34.77/10.29 |-The branch is then unsatisfiable % 34.77/10.29 |-Branch two: % 34.77/10.29 | (2167) ~ (all_0_49_49 = e2) % 34.77/10.29 | (2168) all_0_49_49 = e1 | all_0_49_49 = e0 % 34.77/10.29 | % 34.77/10.29 +-Applying beta-rule and splitting (104), into two cases. % 34.77/10.29 |-Branch one: % 34.77/10.29 | (945) all_0_41_41 = e2 % 34.77/10.29 | % 34.77/10.29 | Equations (945) can reduce 369 to: % 34.77/10.29 | (303) $false % 34.77/10.29 | % 34.77/10.29 |-The branch is then unsatisfiable % 34.77/10.29 |-Branch two: % 34.77/10.29 | (369) ~ (all_0_41_41 = e2) % 34.77/10.29 | (2863) all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_57_57 = e2 % 34.77/10.29 | % 34.77/10.29 +-Applying beta-rule and splitting (213), into two cases. % 34.77/10.29 |-Branch one: % 34.77/10.29 | (360) all_0_53_53 = e2 % 34.77/10.29 | % 34.77/10.29 | Equations (360) can reduce 77 to: % 34.77/10.29 | (273) ~ (all_0_52_52 = e2) % 34.77/10.29 | % 34.77/10.29 +-Applying beta-rule and splitting (24), into two cases. % 34.77/10.29 |-Branch one: % 34.77/10.29 | (980) all_0_52_52 = e2 % 34.77/10.29 | % 34.77/10.29 | Equations (980) can reduce 273 to: % 34.77/10.29 | (303) $false % 34.77/10.29 | % 34.77/10.29 |-The branch is then unsatisfiable % 34.77/10.29 |-Branch two: % 34.77/10.29 | (273) ~ (all_0_52_52 = e2) % 34.77/10.29 | (1772) all_0_52_52 = e4 | all_0_52_52 = e3 | all_0_52_52 = e1 % 34.77/10.29 | % 34.77/10.29 +-Applying beta-rule and splitting (1772), into two cases. % 34.77/10.29 |-Branch one: % 34.77/10.29 | (442) all_0_52_52 = e4 % 34.77/10.29 | % 34.77/10.29 | Equations (442) can reduce 445 to: % 34.77/10.29 | (303) $false % 34.77/10.29 | % 34.77/10.29 |-The branch is then unsatisfiable % 34.77/10.29 |-Branch two: % 34.77/10.29 | (445) ~ (all_0_52_52 = e4) % 34.77/10.29 | (1795) all_0_52_52 = e3 | all_0_52_52 = e1 % 34.77/10.29 | % 34.77/10.29 +-Applying beta-rule and splitting (64), into two cases. % 34.77/10.29 |-Branch one: % 34.77/10.29 | (425) all_0_52_52 = e3 % 34.77/10.29 | % 34.77/10.29 | Equations (425) can reduce 521 to: % 34.77/10.29 | (303) $false % 34.77/10.29 | % 34.77/10.29 |-The branch is then unsatisfiable % 34.77/10.29 |-Branch two: % 34.77/10.29 | (521) ~ (all_0_52_52 = e3) % 34.77/10.29 | (1006) all_0_53_53 = e3 | all_0_55_55 = e3 % 34.77/10.29 | % 34.77/10.29 +-Applying beta-rule and splitting (1795), into two cases. % 34.77/10.29 |-Branch one: % 34.77/10.29 | (1070) all_0_52_52 = e1 % 34.77/10.29 | % 34.77/10.29 | Equations (1070) can reduce 169 to: % 34.77/10.29 | (463) ~ (all_0_55_55 = e1) % 34.77/10.29 | % 34.77/10.29 | Simplifying 463 yields: % 34.77/10.29 | (464) ~ (all_0_55_55 = e1) % 34.77/10.29 | % 34.77/10.29 | Equations (1070) can reduce 273 to: % 34.77/10.29 | (565) ~ (e2 = e1) % 34.77/10.29 | % 34.77/10.29 | Simplifying 565 yields: % 34.77/10.29 | (144) ~ (e2 = e1) % 34.77/10.29 | % 34.77/10.29 +-Applying beta-rule and splitting (1006), into two cases. % 34.77/10.29 |-Branch one: % 34.77/10.29 | (994) all_0_53_53 = e3 % 34.77/10.29 | % 34.77/10.29 | Combining equations (360,994) yields a new equation: % 34.77/10.29 | (453) e3 = e2 % 34.77/10.29 | % 34.77/10.29 | Equations (453) can reduce 223 to: % 34.77/10.29 | (303) $false % 34.77/10.29 | % 34.77/10.29 |-The branch is then unsatisfiable % 34.77/10.29 |-Branch two: % 34.77/10.29 | (428) ~ (all_0_53_53 = e3) % 34.77/10.29 | (2165) all_0_55_55 = e3 % 34.77/10.29 | % 34.77/10.29 | Equations (2165) can reduce 464 to: % 34.77/10.29 | (136) ~ (e3 = e1) % 34.77/10.29 | % 34.77/10.29 +-Applying beta-rule and splitting (56), into two cases. % 34.77/10.29 |-Branch one: % 34.77/10.29 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 34.77/10.29 | % 34.77/10.29 +-Applying beta-rule and splitting (480), into two cases. % 34.77/10.29 |-Branch one: % 34.77/10.29 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 34.77/10.29 | % 34.77/10.29 +-Applying beta-rule and splitting (481), into two cases. % 34.77/10.29 |-Branch one: % 34.77/10.29 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 34.77/10.29 | % 34.77/10.29 +-Applying beta-rule and splitting (482), into two cases. % 34.77/10.29 |-Branch one: % 34.77/10.29 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 34.77/10.29 | % 34.77/10.29 | Applying alpha-rule on (483) yields: % 34.77/10.29 | (484) ~ (unit = e4) % 34.77/10.29 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 34.77/10.29 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 34.77/10.29 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 34.77/10.29 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 34.77/10.29 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 34.77/10.29 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 34.77/10.29 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 34.77/10.29 | (492) ~ (all_0_55_55 = e4) % 34.77/10.29 | (493) all_0_45_45 = e3 % 34.77/10.29 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 34.77/10.29 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 34.77/10.29 | % 34.77/10.29 +-Applying beta-rule and splitting (485), into two cases. % 34.77/10.29 |-Branch one: % 34.77/10.29 | (472) ~ (all_0_54_54 = e4) % 34.77/10.29 | % 34.77/10.29 | Equations (469) can reduce 472 to: % 34.77/10.29 | (303) $false % 34.77/10.29 | % 34.77/10.29 |-The branch is then unsatisfiable % 34.77/10.29 |-Branch two: % 34.77/10.29 | (469) all_0_54_54 = e4 % 34.77/10.29 | (980) all_0_52_52 = e2 % 34.77/10.29 | % 34.77/10.29 | Combining equations (980,1070) yields a new equation: % 34.77/10.29 | (584) e2 = e1 % 34.77/10.29 | % 34.77/10.29 | Simplifying 584 yields: % 34.77/10.29 | (585) e2 = e1 % 34.77/10.29 | % 34.77/10.29 | Equations (585) can reduce 144 to: % 34.77/10.29 | (303) $false % 34.77/10.29 | % 34.77/10.29 |-The branch is then unsatisfiable % 34.77/10.29 |-Branch two: % 34.77/10.29 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 34.77/10.29 | % 34.77/10.29 | Applying alpha-rule on (499) yields: % 34.77/10.29 | (500) ~ (all_0_51_51 = e1) % 34.77/10.29 | (501) ~ (all_0_60_60 = e1) % 34.77/10.29 | (502) ~ (all_0_52_52 = e1) % 34.77/10.29 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 34.77/10.29 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 34.77/10.29 | (252) all_0_46_46 = e2 % 34.77/10.29 | (506) ~ (all_0_49_49 = e1) % 34.77/10.29 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 34.77/10.29 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 34.77/10.29 | (509) ~ (all_0_53_53 = e1) % 34.77/10.29 | (510) ~ (unit = e1) % 34.77/10.29 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 34.77/10.29 | (512) ~ (all_0_44_44 = e1) % 34.77/10.29 | % 34.77/10.29 | Equations (1070) can reduce 502 to: % 34.77/10.29 | (303) $false % 34.77/10.29 | % 34.77/10.29 |-The branch is then unsatisfiable % 34.77/10.29 |-Branch two: % 34.77/10.29 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 34.77/10.29 | % 34.77/10.29 | Applying alpha-rule on (514) yields: % 34.77/10.29 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 34.77/10.29 | (516) ~ (all_0_47_47 = e3) % 34.77/10.29 | (314) ~ (all_0_55_55 = e3) % 34.77/10.29 | (368) all_0_49_49 = e2 % 34.77/10.29 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 34.77/10.29 | (520) ~ (unit = e3) % 34.77/10.29 | (521) ~ (all_0_52_52 = e3) % 34.77/10.29 | (455) ~ (all_0_46_46 = e3) % 34.77/10.29 | (432) ~ (all_0_40_40 = e3) % 34.77/10.29 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 34.77/10.29 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 34.77/10.29 | (526) ~ (all_0_56_56 = e3) % 34.77/10.29 | % 34.77/10.29 | Equations (2165) can reduce 314 to: % 34.77/10.29 | (303) $false % 34.77/10.29 | % 34.77/10.29 |-The branch is then unsatisfiable % 34.77/10.29 |-Branch two: % 34.77/10.29 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 34.77/10.29 | % 34.77/10.29 | Applying alpha-rule on (528) yields: % 34.77/10.29 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 34.77/10.29 | (530) all_0_55_55 = e1 % 34.77/10.29 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 34.77/10.29 | (387) ~ (all_0_49_49 = e0) % 34.77/10.29 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 34.77/10.29 | (534) ~ (all_0_45_45 = e0) % 34.77/10.29 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 34.77/10.29 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 34.77/10.29 | (537) ~ (unit = e0) % 34.77/10.29 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 34.77/10.29 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 34.77/10.29 | % 34.77/10.29 | Combining equations (530,2165) yields a new equation: % 34.77/10.29 | (601) e3 = e1 % 34.77/10.29 | % 34.77/10.29 | Equations (601) can reduce 136 to: % 34.77/10.29 | (303) $false % 34.77/10.29 | % 34.77/10.29 |-The branch is then unsatisfiable % 34.77/10.29 |-Branch two: % 34.77/10.29 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 34.77/10.29 | % 34.77/10.29 | Applying alpha-rule on (543) yields: % 34.77/10.29 | (544) ~ (all_0_48_48 = e2) % 34.77/10.29 | (369) ~ (all_0_41_41 = e2) % 34.77/10.29 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 34.77/10.29 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 34.77/10.29 | (253) ~ (all_0_43_43 = e2) % 34.77/10.29 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 34.77/10.29 | (276) ~ (all_0_55_55 = e2) % 34.77/10.29 | (260) ~ (all_0_59_59 = e2) % 34.77/10.29 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 34.77/10.29 | (274) ~ (all_0_53_53 = e2) % 34.77/10.29 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 34.77/10.29 | (373) ~ (all_0_51_51 = e2) % 34.77/10.29 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 34.77/10.29 | (256) ~ (all_0_47_47 = e2) % 34.77/10.29 | (377) ~ (all_0_57_57 = e2) % 34.77/10.29 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 34.77/10.30 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 34.77/10.30 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 34.77/10.30 | (258) ~ (all_0_50_50 = e2) % 34.77/10.30 | (254) ~ (all_0_45_45 = e2) % 34.77/10.30 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 34.77/10.30 | % 34.77/10.30 | Equations (360) can reduce 274 to: % 34.77/10.30 | (303) $false % 34.77/10.30 | % 34.77/10.30 |-The branch is then unsatisfiable % 34.77/10.30 |-Branch two: % 34.77/10.30 | (502) ~ (all_0_52_52 = e1) % 34.77/10.30 | (425) all_0_52_52 = e3 % 34.77/10.30 | % 34.77/10.30 | Equations (425) can reduce 521 to: % 34.77/10.30 | (303) $false % 34.77/10.30 | % 34.77/10.30 |-The branch is then unsatisfiable % 34.77/10.30 |-Branch two: % 34.77/10.30 | (274) ~ (all_0_53_53 = e2) % 34.77/10.30 | (363) all_0_53_53 = e3 | all_0_53_53 = e1 % 34.77/10.30 | % 34.77/10.30 +-Applying beta-rule and splitting (2863), into two cases. % 34.77/10.30 |-Branch one: % 34.77/10.30 | (368) all_0_49_49 = e2 % 34.77/10.30 | % 34.77/10.30 | Equations (368) can reduce 2167 to: % 34.77/10.30 | (303) $false % 34.81/10.30 | % 34.81/10.30 |-The branch is then unsatisfiable % 34.81/10.30 |-Branch two: % 34.81/10.30 | (2167) ~ (all_0_49_49 = e2) % 34.81/10.30 | (5846) all_0_53_53 = e2 | all_0_57_57 = e2 % 34.81/10.30 | % 34.81/10.30 +-Applying beta-rule and splitting (5846), into two cases. % 34.81/10.30 |-Branch one: % 34.81/10.30 | (360) all_0_53_53 = e2 % 34.81/10.30 | % 34.81/10.30 | Equations (360) can reduce 274 to: % 34.81/10.30 | (303) $false % 34.81/10.30 | % 34.81/10.30 |-The branch is then unsatisfiable % 34.81/10.30 |-Branch two: % 34.81/10.30 | (274) ~ (all_0_53_53 = e2) % 34.81/10.30 | (897) all_0_57_57 = e2 % 34.81/10.30 | % 34.81/10.30 | Equations (897) can reduce 11 to: % 34.81/10.30 | (369) ~ (all_0_41_41 = e2) % 34.81/10.30 | % 34.81/10.30 | Equations (897) can reduce 226 to: % 34.81/10.30 | (2167) ~ (all_0_49_49 = e2) % 34.81/10.30 | % 34.81/10.30 | Equations (897) can reduce 251 to: % 34.81/10.30 | (274) ~ (all_0_53_53 = e2) % 34.81/10.30 | % 34.81/10.30 | Equations (897) can reduce 222 to: % 34.81/10.30 | (259) ~ (all_0_59_59 = e2) % 34.81/10.30 | % 34.81/10.30 | Simplifying 259 yields: % 34.81/10.30 | (260) ~ (all_0_59_59 = e2) % 34.81/10.30 | % 34.81/10.30 | Equations (897) can reduce 81 to: % 34.81/10.30 | (573) ~ (all_0_60_60 = e2) % 34.81/10.30 | % 34.81/10.30 | Simplifying 573 yields: % 34.81/10.30 | (571) ~ (all_0_60_60 = e2) % 34.81/10.30 | % 34.81/10.30 | Equations (897) can reduce 202 to: % 34.81/10.30 | (261) ~ (e4 = e2) % 34.81/10.30 | % 34.81/10.30 | Simplifying 261 yields: % 34.81/10.30 | (231) ~ (e4 = e2) % 34.81/10.30 | % 34.81/10.30 | From (897) and (35) follows: % 34.81/10.30 | (5860) op(e2, e3) = all_0_34_34 % 34.81/10.30 | % 34.81/10.30 | From (897) and (205) follows: % 34.81/10.30 | (11314) op(e2, e0) = all_0_33_33 % 34.81/10.30 | % 34.81/10.30 | From (897) and (5) follows: % 34.81/10.30 | (2880) op(e0, e3) = e2 % 34.81/10.30 | % 34.81/10.30 | Instantiating formula (29) with e2, e3, all_0_34_34, all_0_49_49 and discharging atoms op(e2, e3) = all_0_34_34, op(e2, e3) = all_0_49_49, yields: % 34.81/10.30 | (23991) all_0_34_34 = all_0_49_49 % 34.81/10.30 | % 34.81/10.30 | Instantiating formula (29) with e2, e0, all_0_33_33, all_0_51_51 and discharging atoms op(e2, e0) = all_0_33_33, op(e2, e0) = all_0_51_51, yields: % 34.81/10.30 | (23992) all_0_33_33 = all_0_51_51 % 34.81/10.30 | % 34.81/10.30 | From (23991) and (5860) follows: % 34.81/10.30 | (94) op(e2, e3) = all_0_49_49 % 34.81/10.30 | % 34.81/10.30 | From (23992) and (11314) follows: % 34.81/10.30 | (66) op(e2, e0) = all_0_51_51 % 34.81/10.30 | % 34.81/10.30 +-Applying beta-rule and splitting (91), into two cases. % 34.81/10.30 |-Branch one: % 34.81/10.30 | (980) all_0_52_52 = e2 % 34.81/10.30 | % 34.81/10.30 | Equations (980) can reduce 188 to: % 34.81/10.30 | (939) ~ (all_0_40_40 = e2) % 34.81/10.30 | % 34.81/10.30 | Equations (980) can reduce 169 to: % 34.81/10.30 | (275) ~ (all_0_55_55 = e2) % 34.81/10.30 | % 34.81/10.30 | Simplifying 275 yields: % 34.81/10.30 | (276) ~ (all_0_55_55 = e2) % 34.81/10.30 | % 34.81/10.30 | Equations (980) can reduce 149 to: % 34.81/10.30 | (2174) ~ (all_0_56_56 = e2) % 34.81/10.30 | % 34.81/10.30 | Simplifying 2174 yields: % 34.81/10.30 | (594) ~ (all_0_56_56 = e2) % 34.81/10.30 | % 34.81/10.30 | Equations (980) can reduce 445 to: % 34.81/10.30 | (261) ~ (e4 = e2) % 34.81/10.30 | % 34.81/10.30 | Simplifying 261 yields: % 34.81/10.30 | (231) ~ (e4 = e2) % 34.81/10.30 | % 34.81/10.30 | Equations (980) can reduce 78 to: % 34.81/10.30 | (51) ~ (e2 = e0) % 34.81/10.30 | % 34.81/10.30 | From (980) and (152) follows: % 34.81/10.30 | (13964) op(e1, e4) = e2 % 34.81/10.30 | % 34.81/10.30 +-Applying beta-rule and splitting (112), into two cases. % 34.81/10.30 |-Branch one: % 34.81/10.30 | (572) all_0_44_44 = e2 % 34.81/10.30 | % 34.81/10.30 | Equations (572) can reduce 915 to: % 34.81/10.30 | (303) $false % 34.81/10.30 | % 34.81/10.30 |-The branch is then unsatisfiable % 34.81/10.30 |-Branch two: % 34.81/10.30 | (915) ~ (all_0_44_44 = e2) % 34.81/10.30 | (916) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 34.81/10.30 | % 34.81/10.30 +-Applying beta-rule and splitting (916), into two cases. % 34.81/10.30 |-Branch one: % 34.81/10.30 | (302) all_0_47_47 = e2 % 34.81/10.30 | % 34.81/10.30 | Combining equations (306,302) yields a new equation: % 34.81/10.30 | (385) e2 = e0 % 34.81/10.30 | % 34.81/10.30 | Equations (385) can reduce 51 to: % 34.81/10.30 | (303) $false % 34.81/10.30 | % 34.81/10.30 |-The branch is then unsatisfiable % 34.81/10.30 |-Branch two: % 34.81/10.30 | (256) ~ (all_0_47_47 = e2) % 34.81/10.30 | (926) all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 34.81/10.30 | % 34.81/10.30 +-Applying beta-rule and splitting (926), into two cases. % 34.81/10.30 |-Branch one: % 34.81/10.30 | (927) all_0_51_51 = e2 % 34.81/10.30 | % 34.81/10.30 | Equations (927) can reduce 161 to: % 34.81/10.30 | (915) ~ (all_0_44_44 = e2) % 34.81/10.30 | % 34.81/10.30 | Equations (927) can reduce 127 to: % 34.81/10.30 | (544) ~ (all_0_48_48 = e2) % 34.81/10.30 | % 34.81/10.30 | Equations (927) can reduce 160 to: % 34.81/10.30 | (2167) ~ (all_0_49_49 = e2) % 34.81/10.30 | % 34.81/10.30 | Equations (927) can reduce 171 to: % 34.81/10.30 | (258) ~ (all_0_50_50 = e2) % 34.81/10.30 | % 34.81/10.30 | Equations (927) can reduce 13 to: % 34.81/10.30 | (275) ~ (all_0_55_55 = e2) % 34.81/10.30 | % 34.81/10.30 | Simplifying 275 yields: % 34.81/10.30 | (276) ~ (all_0_55_55 = e2) % 34.81/10.30 | % 34.81/10.30 | Equations (927) can reduce 95 to: % 34.81/10.30 | (573) ~ (all_0_60_60 = e2) % 34.81/10.30 | % 34.81/10.30 | Simplifying 573 yields: % 34.81/10.30 | (571) ~ (all_0_60_60 = e2) % 34.81/10.30 | % 34.81/10.30 | Equations (927) can reduce 32 to: % 34.81/10.30 | (577) ~ (e3 = e2) % 34.81/10.30 | % 34.81/10.30 | Simplifying 577 yields: % 34.81/10.30 | (223) ~ (e3 = e2) % 34.81/10.30 | % 34.81/10.30 | Equations (927) can reduce 2347 to: % 34.81/10.30 | (51) ~ (e2 = e0) % 34.81/10.30 | % 34.81/10.30 | From (927) and (66) follows: % 34.81/10.30 | (664) op(e2, e0) = e2 % 34.81/10.30 | % 34.81/10.30 +-Applying beta-rule and splitting (85), into two cases. % 34.81/10.30 |-Branch one: % 34.81/10.30 | (1070) all_0_52_52 = e1 % 34.81/10.30 | % 34.81/10.30 | Combining equations (980,1070) yields a new equation: % 34.81/10.30 | (584) e2 = e1 % 34.81/10.30 | % 34.81/10.30 | Simplifying 584 yields: % 34.81/10.30 | (585) e2 = e1 % 34.81/10.30 | % 34.81/10.30 | Equations (585) can reduce 144 to: % 34.81/10.30 | (303) $false % 34.81/10.30 | % 34.81/10.30 |-The branch is then unsatisfiable % 34.81/10.30 |-Branch two: % 34.81/10.30 | (502) ~ (all_0_52_52 = e1) % 34.81/10.30 | (1073) all_0_53_53 = e1 | all_0_55_55 = e1 % 34.81/10.30 | % 34.81/10.30 | Equations (980) can reduce 502 to: % 34.81/10.30 | (144) ~ (e2 = e1) % 34.81/10.30 | % 34.81/10.30 +-Applying beta-rule and splitting (67), into two cases. % 34.81/10.30 |-Branch one: % 34.81/10.30 | (380) all_0_48_48 = e0 % 34.81/10.30 | % 34.81/10.30 | Equations (380) can reduce 58 to: % 34.81/10.30 | (8746) ~ (all_0_49_49 = e0) % 34.81/10.30 | % 34.81/10.30 | Simplifying 8746 yields: % 34.81/10.30 | (387) ~ (all_0_49_49 = e0) % 34.81/10.30 | % 34.81/10.30 | Equations (380) can reduce 34 to: % 34.81/10.30 | (333) ~ (e3 = e0) % 34.81/10.30 | % 34.81/10.30 | Simplifying 333 yields: % 34.81/10.30 | (70) ~ (e3 = e0) % 34.81/10.30 | % 34.81/10.30 | Equations (380) can reduce 544 to: % 34.81/10.30 | (335) ~ (e2 = e0) % 34.81/10.30 | % 34.81/10.30 | Simplifying 335 yields: % 34.81/10.30 | (51) ~ (e2 = e0) % 34.81/10.30 | % 34.81/10.30 +-Applying beta-rule and splitting (150), into two cases. % 34.81/10.30 |-Branch one: % 34.81/10.30 | (398) all_0_41_41 = e0 % 34.81/10.30 | % 34.81/10.30 | Equations (398) can reduce 192 to: % 34.81/10.30 | (297) ~ (e4 = e0) % 34.81/10.30 | % 34.81/10.30 | Simplifying 297 yields: % 34.81/10.30 | (4) ~ (e4 = e0) % 34.81/10.30 | % 34.81/10.30 +-Applying beta-rule and splitting (237), into two cases. % 34.81/10.30 |-Branch one: % 34.81/10.30 | (431) all_0_41_41 = e3 % 34.81/10.30 | % 34.81/10.30 | Combining equations (431,398) yields a new equation: % 34.81/10.30 | (496) e3 = e0 % 34.81/10.30 | % 34.81/10.30 | Simplifying 496 yields: % 34.81/10.30 | (497) e3 = e0 % 34.81/10.30 | % 34.81/10.30 | Equations (497) can reduce 70 to: % 34.81/10.30 | (303) $false % 34.81/10.30 | % 34.81/10.30 |-The branch is then unsatisfiable % 34.81/10.30 |-Branch two: % 34.81/10.30 | (996) ~ (all_0_41_41 = e3) % 34.81/10.30 | (997) all_0_53_53 = e3 | all_0_57_57 = e3 % 34.81/10.30 | % 34.81/10.30 +-Applying beta-rule and splitting (234), into two cases. % 34.81/10.30 |-Branch one: % 34.81/10.30 | (609) all_0_48_48 = e4 % 34.81/10.30 | % 34.81/10.30 | Combining equations (380,609) yields a new equation: % 34.81/10.30 | (654) e4 = e0 % 34.81/10.30 | % 34.81/10.30 | Equations (654) can reduce 4 to: % 34.81/10.30 | (303) $false % 34.81/10.30 | % 34.81/10.30 |-The branch is then unsatisfiable % 34.81/10.30 |-Branch two: % 34.81/10.30 | (721) ~ (all_0_48_48 = e4) % 34.81/10.30 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 34.81/10.30 | % 34.81/10.30 +-Applying beta-rule and splitting (997), into two cases. % 34.81/10.30 |-Branch one: % 34.81/10.30 | (994) all_0_53_53 = e3 % 34.81/10.30 | % 34.81/10.30 | Equations (994) can reduce 7 to: % 34.81/10.30 | (218) ~ (all_0_49_49 = e3) % 34.81/10.30 | % 34.81/10.30 +-Applying beta-rule and splitting (722), into two cases. % 34.81/10.30 |-Branch one: % 34.81/10.31 | (714) all_0_50_50 = e4 % 34.81/10.31 | % 34.81/10.31 +-Applying beta-rule and splitting (153), into two cases. % 34.81/10.31 |-Branch one: % 34.81/10.31 | (932) all_0_55_55 = e2 % 34.81/10.31 | % 34.81/10.31 | Equations (932) can reduce 276 to: % 34.81/10.31 | (303) $false % 34.81/10.31 | % 34.81/10.31 |-The branch is then unsatisfiable % 34.81/10.31 |-Branch two: % 34.81/10.31 | (276) ~ (all_0_55_55 = e2) % 34.81/10.31 | (1809) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 % 34.81/10.31 | % 34.81/10.31 +-Applying beta-rule and splitting (228), into two cases. % 34.81/10.31 |-Branch one: % 34.81/10.31 | (748) all_0_48_48 = e1 % 34.81/10.31 | % 34.81/10.31 | Combining equations (748,380) yields a new equation: % 34.81/10.31 | (670) e1 = e0 % 34.81/10.31 | % 34.81/10.31 | Simplifying 670 yields: % 34.81/10.31 | (590) e1 = e0 % 34.81/10.31 | % 34.81/10.31 | Equations (590) can reduce 134 to: % 34.81/10.31 | (303) $false % 34.81/10.31 | % 34.81/10.31 |-The branch is then unsatisfiable % 34.81/10.31 |-Branch two: % 34.81/10.31 | (802) ~ (all_0_48_48 = e1) % 34.81/10.31 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 34.81/10.31 | % 34.81/10.31 +-Applying beta-rule and splitting (803), into two cases. % 34.81/10.31 |-Branch one: % 34.81/10.31 | (1580) all_0_49_49 = e1 % 34.81/10.31 | % 34.81/10.31 | Equations (1580) can reduce 218 to: % 34.81/10.31 | (465) ~ (e3 = e1) % 34.81/10.31 | % 34.81/10.31 | Simplifying 465 yields: % 34.81/10.31 | (136) ~ (e3 = e1) % 34.81/10.31 | % 34.81/10.31 +-Applying beta-rule and splitting (1073), into two cases. % 34.81/10.31 |-Branch one: % 34.81/10.31 | (462) all_0_53_53 = e1 % 34.81/10.31 | % 34.81/10.31 | Combining equations (994,462) yields a new equation: % 34.81/10.31 | (680) e3 = e1 % 34.81/10.31 | % 34.81/10.31 | Simplifying 680 yields: % 34.81/10.31 | (601) e3 = e1 % 34.81/10.31 | % 34.81/10.31 | Equations (601) can reduce 136 to: % 34.81/10.31 | (303) $false % 34.81/10.31 | % 34.81/10.31 |-The branch is then unsatisfiable % 34.81/10.31 |-Branch two: % 34.81/10.31 | (509) ~ (all_0_53_53 = e1) % 34.81/10.31 | (530) all_0_55_55 = e1 % 34.81/10.31 | % 34.81/10.31 | Equations (530) can reduce 276 to: % 34.81/10.31 | (565) ~ (e2 = e1) % 34.81/10.31 | % 34.81/10.31 | Simplifying 565 yields: % 34.81/10.31 | (144) ~ (e2 = e1) % 34.81/10.31 | % 34.81/10.31 | Equations (530) can reduce 93 to: % 34.81/10.31 | (134) ~ (e1 = e0) % 34.81/10.31 | % 34.81/10.31 +-Applying beta-rule and splitting (56), into two cases. % 34.81/10.31 |-Branch one: % 34.81/10.31 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 34.81/10.31 | % 34.81/10.31 +-Applying beta-rule and splitting (480), into two cases. % 34.81/10.31 |-Branch one: % 34.81/10.31 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 34.81/10.31 | % 34.81/10.31 +-Applying beta-rule and splitting (481), into two cases. % 34.81/10.31 |-Branch one: % 34.81/10.31 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 34.81/10.31 | % 34.81/10.31 +-Applying beta-rule and splitting (482), into two cases. % 34.81/10.31 |-Branch one: % 34.81/10.31 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 34.81/10.31 | % 34.81/10.31 | Applying alpha-rule on (483) yields: % 34.81/10.31 | (484) ~ (unit = e4) % 34.81/10.31 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 34.81/10.31 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 34.81/10.31 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 34.81/10.31 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 34.81/10.31 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 34.81/10.31 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 34.81/10.31 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 34.81/10.31 | (492) ~ (all_0_55_55 = e4) % 34.81/10.31 | (493) all_0_45_45 = e3 % 34.81/10.31 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 34.81/10.31 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 34.81/10.31 | % 34.81/10.31 +-Applying beta-rule and splitting (488), into two cases. % 34.81/10.31 |-Branch one: % 34.81/10.31 | (611) ~ (all_0_50_50 = e4) % 34.81/10.31 | % 34.81/10.31 | Equations (714) can reduce 611 to: % 34.81/10.31 | (303) $false % 34.81/10.31 | % 34.81/10.31 |-The branch is then unsatisfiable % 34.81/10.31 |-Branch two: % 34.81/10.31 | (714) all_0_50_50 = e4 % 34.81/10.31 | (748) all_0_48_48 = e1 % 34.81/10.31 | % 34.81/10.31 | Combining equations (380,748) yields a new equation: % 34.81/10.31 | (590) e1 = e0 % 34.81/10.31 | % 34.81/10.31 | Equations (590) can reduce 134 to: % 34.81/10.31 | (303) $false % 34.81/10.31 | % 34.81/10.31 |-The branch is then unsatisfiable % 34.81/10.31 |-Branch two: % 34.81/10.31 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 34.81/10.31 | % 34.81/10.31 | Applying alpha-rule on (499) yields: % 34.81/10.31 | (500) ~ (all_0_51_51 = e1) % 34.81/10.31 | (501) ~ (all_0_60_60 = e1) % 34.81/10.31 | (502) ~ (all_0_52_52 = e1) % 34.81/10.31 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 34.81/10.31 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 34.81/10.31 | (252) all_0_46_46 = e2 % 34.81/10.31 | (506) ~ (all_0_49_49 = e1) % 34.81/10.31 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 34.81/10.31 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 34.81/10.31 | (509) ~ (all_0_53_53 = e1) % 34.81/10.31 | (510) ~ (unit = e1) % 34.81/10.31 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 34.81/10.31 | (512) ~ (all_0_44_44 = e1) % 34.81/10.31 | % 34.81/10.31 | Equations (1580) can reduce 506 to: % 34.81/10.31 | (303) $false % 34.81/10.31 | % 34.81/10.31 |-The branch is then unsatisfiable % 34.81/10.31 |-Branch two: % 34.81/10.31 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 34.81/10.31 | % 34.81/10.31 | Applying alpha-rule on (514) yields: % 34.81/10.31 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 34.81/10.31 | (516) ~ (all_0_47_47 = e3) % 34.81/10.31 | (314) ~ (all_0_55_55 = e3) % 34.81/10.31 | (368) all_0_49_49 = e2 % 34.81/10.31 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 34.81/10.31 | (520) ~ (unit = e3) % 34.81/10.31 | (521) ~ (all_0_52_52 = e3) % 34.81/10.31 | (455) ~ (all_0_46_46 = e3) % 34.81/10.31 | (432) ~ (all_0_40_40 = e3) % 34.81/10.31 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 34.81/10.31 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 34.81/10.31 | (526) ~ (all_0_56_56 = e3) % 34.81/10.31 | % 34.81/10.31 | Combining equations (1580,368) yields a new equation: % 34.81/10.31 | (585) e2 = e1 % 34.81/10.31 | % 34.81/10.31 | Equations (585) can reduce 144 to: % 34.81/10.31 | (303) $false % 34.81/10.31 | % 34.81/10.31 |-The branch is then unsatisfiable % 34.81/10.31 |-Branch two: % 34.81/10.31 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 34.81/10.31 | % 34.81/10.31 | Applying alpha-rule on (528) yields: % 34.81/10.31 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 34.81/10.31 | (530) all_0_55_55 = e1 % 34.81/10.31 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 34.81/10.31 | (387) ~ (all_0_49_49 = e0) % 34.81/10.31 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 34.81/10.31 | (534) ~ (all_0_45_45 = e0) % 34.81/10.31 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 34.81/10.31 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 34.81/10.31 | (537) ~ (unit = e0) % 34.81/10.31 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 34.81/10.31 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 34.81/10.31 | % 34.81/10.31 +-Applying beta-rule and splitting (531), into two cases. % 34.81/10.31 |-Branch one: % 34.81/10.31 | (332) ~ (all_0_58_58 = e0) % 34.81/10.31 | % 34.81/10.31 | Equations (989) can reduce 332 to: % 34.81/10.31 | (303) $false % 34.81/10.31 | % 34.81/10.31 |-The branch is then unsatisfiable % 34.81/10.31 |-Branch two: % 34.81/10.31 | (989) all_0_58_58 = e0 % 34.81/10.31 | (913) all_0_60_60 = e2 % 34.81/10.31 | % 34.81/10.31 | Equations (913) can reduce 571 to: % 34.81/10.31 | (303) $false % 34.81/10.31 | % 34.81/10.31 |-The branch is then unsatisfiable % 34.81/10.31 |-Branch two: % 34.81/10.31 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 34.81/10.31 | % 34.81/10.31 | Applying alpha-rule on (543) yields: % 34.81/10.31 | (544) ~ (all_0_48_48 = e2) % 34.81/10.31 | (369) ~ (all_0_41_41 = e2) % 34.81/10.31 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 34.81/10.31 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 34.81/10.31 | (253) ~ (all_0_43_43 = e2) % 34.81/10.31 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 34.81/10.31 | (276) ~ (all_0_55_55 = e2) % 34.81/10.31 | (260) ~ (all_0_59_59 = e2) % 34.81/10.31 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 34.81/10.31 | (274) ~ (all_0_53_53 = e2) % 34.81/10.31 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 34.81/10.31 | (373) ~ (all_0_51_51 = e2) % 34.81/10.31 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 34.81/10.31 | (256) ~ (all_0_47_47 = e2) % 34.81/10.31 | (377) ~ (all_0_57_57 = e2) % 34.81/10.31 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 34.81/10.31 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 34.81/10.31 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 34.81/10.31 | (258) ~ (all_0_50_50 = e2) % 34.81/10.31 | (254) ~ (all_0_45_45 = e2) % 34.81/10.31 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 34.81/10.31 | % 34.81/10.31 | Equations (897) can reduce 377 to: % 34.81/10.31 | (303) $false % 34.81/10.31 | % 34.81/10.31 |-The branch is then unsatisfiable % 34.81/10.31 |-Branch two: % 34.81/10.31 | (506) ~ (all_0_49_49 = e1) % 34.81/10.31 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 34.81/10.31 | % 34.81/10.31 +-Applying beta-rule and splitting (1585), into two cases. % 34.81/10.31 |-Branch one: % 34.81/10.31 | (627) all_0_50_50 = e1 % 34.81/10.31 | % 34.81/10.31 | Combining equations (714,627) yields a new equation: % 34.81/10.31 | (540) e4 = e1 % 34.81/10.31 | % 34.81/10.31 | Simplifying 540 yields: % 34.81/10.31 | (541) e4 = e1 % 34.81/10.31 | % 34.81/10.31 | Equations (541) can reduce 247 to: % 34.81/10.31 | (303) $false % 34.81/10.31 | % 34.81/10.31 |-The branch is then unsatisfiable % 34.81/10.31 |-Branch two: % 34.81/10.31 | (678) ~ (all_0_50_50 = e1) % 34.81/10.31 | (1590) all_0_51_51 = e1 % 34.81/10.31 | % 34.81/10.31 | Combining equations (927,1590) yields a new equation: % 34.81/10.31 | (584) e2 = e1 % 34.81/10.31 | % 34.81/10.31 | Simplifying 584 yields: % 34.81/10.31 | (585) e2 = e1 % 34.81/10.31 | % 34.81/10.31 | Equations (585) can reduce 144 to: % 34.81/10.31 | (303) $false % 34.81/10.31 | % 34.81/10.31 |-The branch is then unsatisfiable % 34.81/10.31 |-Branch two: % 34.81/10.31 | (611) ~ (all_0_50_50 = e4) % 34.81/10.31 | (1501) all_0_51_51 = e4 % 34.81/10.31 | % 34.81/10.31 | Combining equations (927,1501) yields a new equation: % 34.81/10.31 | (470) e4 = e2 % 34.81/10.31 | % 34.81/10.31 | Equations (470) can reduce 231 to: % 34.81/10.31 | (303) $false % 34.81/10.31 | % 34.81/10.31 |-The branch is then unsatisfiable % 34.81/10.31 |-Branch two: % 34.81/10.31 | (428) ~ (all_0_53_53 = e3) % 34.81/10.31 | (1001) all_0_57_57 = e3 % 34.81/10.31 | % 34.81/10.31 | Combining equations (1001,897) yields a new equation: % 34.81/10.31 | (452) e3 = e2 % 34.81/10.31 | % 34.81/10.31 | Simplifying 452 yields: % 34.81/10.31 | (453) e3 = e2 % 34.81/10.31 | % 34.81/10.31 | Equations (453) can reduce 223 to: % 34.81/10.31 | (303) $false % 34.81/10.31 | % 34.81/10.31 |-The branch is then unsatisfiable % 34.81/10.31 |-Branch two: % 34.81/10.31 | (326) ~ (all_0_41_41 = e0) % 34.81/10.31 | (401) all_0_49_49 = e0 | all_0_57_57 = e0 % 34.81/10.31 | % 34.81/10.31 +-Applying beta-rule and splitting (401), into two cases. % 34.81/10.31 |-Branch one: % 34.81/10.31 | (384) all_0_49_49 = e0 % 34.81/10.31 | % 34.81/10.31 | Equations (384) can reduce 387 to: % 34.81/10.31 | (303) $false % 34.81/10.31 | % 34.81/10.31 |-The branch is then unsatisfiable % 34.81/10.31 |-Branch two: % 34.81/10.31 | (387) ~ (all_0_49_49 = e0) % 34.81/10.31 | (407) all_0_57_57 = e0 % 34.81/10.31 | % 34.81/10.31 | Combining equations (897,407) yields a new equation: % 34.81/10.31 | (403) e2 = e0 % 34.81/10.31 | % 34.81/10.31 | Simplifying 403 yields: % 34.81/10.31 | (385) e2 = e0 % 34.81/10.31 | % 34.81/10.31 | Equations (385) can reduce 51 to: % 34.81/10.31 | (303) $false % 34.81/10.31 | % 34.81/10.31 |-The branch is then unsatisfiable % 34.81/10.31 |-Branch two: % 34.81/10.31 | (292) ~ (all_0_48_48 = e0) % 34.81/10.31 | (383) all_0_49_49 = e0 | all_0_51_51 = e0 % 34.81/10.31 | % 34.81/10.31 +-Applying beta-rule and splitting (41), into two cases. % 34.81/10.31 |-Branch one: % 34.81/10.31 | (2834) all_0_40_40 = e0 % 34.81/10.31 | % 34.81/10.31 | Equations (2834) can reduce 151 to: % 34.81/10.31 | (11195) ~ (all_0_41_41 = e0) % 34.81/10.31 | % 34.81/10.31 | Simplifying 11195 yields: % 34.81/10.31 | (326) ~ (all_0_41_41 = e0) % 34.81/10.31 | % 34.81/10.31 | Equations (2834) can reduce 8 to: % 34.81/10.31 | (327) ~ (all_0_43_43 = e0) % 34.81/10.31 | % 34.81/10.31 | Simplifying 327 yields: % 34.81/10.31 | (117) ~ (all_0_43_43 = e0) % 34.81/10.31 | % 34.81/10.31 | Equations (2834) can reduce 124 to: % 34.81/10.31 | (329) ~ (all_0_44_44 = e0) % 34.81/10.31 | % 34.81/10.31 | Simplifying 329 yields: % 34.81/10.31 | (330) ~ (all_0_44_44 = e0) % 34.81/10.31 | % 34.81/10.31 | Equations (2834) can reduce 57 to: % 34.81/10.31 | (295) ~ (all_0_56_56 = e0) % 34.81/10.31 | % 34.81/10.31 | Simplifying 295 yields: % 34.81/10.31 | (296) ~ (all_0_56_56 = e0) % 34.81/10.31 | % 34.81/10.31 | Equations (2834) can reduce 939 to: % 34.81/10.31 | (335) ~ (e2 = e0) % 34.81/10.31 | % 34.81/10.31 | Simplifying 335 yields: % 34.81/10.31 | (51) ~ (e2 = e0) % 34.81/10.31 | % 34.81/10.31 +-Applying beta-rule and splitting (150), into two cases. % 34.81/10.31 |-Branch one: % 34.81/10.31 | (398) all_0_41_41 = e0 % 34.81/10.31 | % 34.81/10.31 | Equations (398) can reduce 326 to: % 34.81/10.31 | (303) $false % 34.81/10.31 | % 34.81/10.31 |-The branch is then unsatisfiable % 34.81/10.31 |-Branch two: % 34.81/10.31 | (326) ~ (all_0_41_41 = e0) % 34.81/10.31 | (401) all_0_49_49 = e0 | all_0_57_57 = e0 % 34.81/10.31 | % 34.81/10.31 +-Applying beta-rule and splitting (401), into two cases. % 34.81/10.31 |-Branch one: % 34.81/10.31 | (384) all_0_49_49 = e0 % 34.81/10.31 | % 34.81/10.31 | Equations (384) can reduce 177 to: % 34.81/10.31 | (326) ~ (all_0_41_41 = e0) % 34.81/10.31 | % 34.81/10.31 | Equations (384) can reduce 58 to: % 34.81/10.31 | (292) ~ (all_0_48_48 = e0) % 34.81/10.31 | % 34.81/10.31 | Equations (384) can reduce 37 to: % 34.81/10.31 | (6386) ~ (all_0_50_50 = e0) % 34.81/10.31 | % 34.81/10.31 | Simplifying 6386 yields: % 34.81/10.31 | (207) ~ (all_0_50_50 = e0) % 34.81/10.31 | % 34.81/10.31 | Equations (384) can reduce 215 to: % 34.81/10.31 | (297) ~ (e4 = e0) % 34.81/10.31 | % 34.81/10.31 | Simplifying 297 yields: % 34.81/10.31 | (4) ~ (e4 = e0) % 34.81/10.31 | % 34.81/10.31 | Equations (384) can reduce 2167 to: % 34.81/10.31 | (335) ~ (e2 = e0) % 34.81/10.31 | % 34.81/10.31 | Simplifying 335 yields: % 34.81/10.31 | (51) ~ (e2 = e0) % 34.81/10.31 | % 34.81/10.31 | From (384) and (94) follows: % 34.81/10.31 | (2550) op(e2, e3) = e0 % 34.81/10.31 | % 34.81/10.31 +-Applying beta-rule and splitting (137), into two cases. % 34.81/10.31 |-Branch one: % 34.81/10.31 | (447) all_0_43_43 = e3 % 34.81/10.31 | % 34.81/10.31 | Equations (447) can reduce 43 to: % 34.81/10.31 | (996) ~ (all_0_41_41 = e3) % 34.81/10.31 | % 34.81/10.31 | Equations (447) can reduce 253 to: % 34.81/10.31 | (223) ~ (e3 = e2) % 34.81/10.31 | % 34.81/10.31 | From (447) and (19) follows: % 34.81/10.31 | (3299) op(e4, e1) = e3 % 34.81/10.31 | % 34.81/10.31 +-Applying beta-rule and splitting (180), into two cases. % 34.81/10.31 |-Branch one: % 34.81/10.31 | (945) all_0_41_41 = e2 % 34.81/10.31 | % 34.81/10.31 | Equations (945) can reduce 369 to: % 34.81/10.31 | (303) $false % 34.81/10.31 | % 34.81/10.31 |-The branch is then unsatisfiable % 34.81/10.31 |-Branch two: % 34.81/10.31 | (369) ~ (all_0_41_41 = e2) % 34.81/10.31 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 34.81/10.31 | % 34.84/10.31 +-Applying beta-rule and splitting (1017), into two cases. % 34.84/10.31 |-Branch one: % 34.84/10.31 | (696) all_0_41_41 = e1 % 34.84/10.31 | % 34.84/10.31 | Equations (696) can reduce 121 to: % 34.84/10.32 | (6422) ~ (all_0_53_53 = e1) % 34.84/10.32 | % 34.84/10.32 | Simplifying 6422 yields: % 34.84/10.32 | (509) ~ (all_0_53_53 = e1) % 34.84/10.32 | % 34.84/10.32 | Equations (696) can reduce 996 to: % 34.84/10.32 | (465) ~ (e3 = e1) % 34.84/10.32 | % 34.84/10.32 | Simplifying 465 yields: % 34.84/10.32 | (136) ~ (e3 = e1) % 34.84/10.32 | % 34.84/10.32 +-Applying beta-rule and splitting (237), into two cases. % 34.84/10.32 |-Branch one: % 34.84/10.32 | (431) all_0_41_41 = e3 % 34.84/10.32 | % 34.84/10.32 | Combining equations (431,696) yields a new equation: % 34.84/10.32 | (680) e3 = e1 % 34.84/10.32 | % 34.84/10.32 | Simplifying 680 yields: % 34.84/10.32 | (601) e3 = e1 % 34.84/10.32 | % 34.84/10.32 | Equations (601) can reduce 136 to: % 34.84/10.32 | (303) $false % 34.84/10.32 | % 34.84/10.32 |-The branch is then unsatisfiable % 34.84/10.32 |-Branch two: % 34.84/10.32 | (996) ~ (all_0_41_41 = e3) % 34.84/10.32 | (997) all_0_53_53 = e3 | all_0_57_57 = e3 % 34.84/10.32 | % 34.84/10.32 +-Applying beta-rule and splitting (997), into two cases. % 34.84/10.32 |-Branch one: % 34.84/10.32 | (994) all_0_53_53 = e3 % 34.84/10.32 | % 34.84/10.32 | Equations (994) can reduce 229 to: % 34.84/10.32 | (439) ~ (e4 = e3) % 34.84/10.32 | % 34.84/10.32 | Simplifying 439 yields: % 34.84/10.32 | (30) ~ (e4 = e3) % 34.84/10.32 | % 34.84/10.32 | Equations (994) can reduce 509 to: % 34.84/10.32 | (136) ~ (e3 = e1) % 34.84/10.32 | % 34.84/10.32 +-Applying beta-rule and splitting (21), into two cases. % 34.84/10.32 |-Branch one: % 34.84/10.32 | (723) all_0_40_40 = e4 % 34.84/10.32 | % 34.84/10.32 | Combining equations (723,2834) yields a new equation: % 34.84/10.32 | (1573) e4 = e0 % 34.84/10.32 | % 34.84/10.32 | Simplifying 1573 yields: % 34.84/10.32 | (654) e4 = e0 % 34.84/10.32 | % 34.84/10.32 | Equations (654) can reduce 4 to: % 34.84/10.32 | (303) $false % 34.84/10.32 | % 34.84/10.32 |-The branch is then unsatisfiable % 34.84/10.32 |-Branch two: % 34.84/10.32 | (844) ~ (all_0_40_40 = e4) % 34.84/10.32 | (6577) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 34.84/10.32 | % 34.84/10.32 +-Applying beta-rule and splitting (1073), into two cases. % 34.84/10.32 |-Branch one: % 34.84/10.32 | (462) all_0_53_53 = e1 % 34.84/10.32 | % 34.84/10.32 | Combining equations (994,462) yields a new equation: % 34.84/10.32 | (680) e3 = e1 % 34.84/10.32 | % 34.84/10.32 | Simplifying 680 yields: % 34.84/10.32 | (601) e3 = e1 % 34.84/10.32 | % 34.84/10.32 | Equations (601) can reduce 136 to: % 34.84/10.32 | (303) $false % 34.84/10.32 | % 34.84/10.32 |-The branch is then unsatisfiable % 34.84/10.32 |-Branch two: % 34.84/10.32 | (509) ~ (all_0_53_53 = e1) % 34.84/10.32 | (530) all_0_55_55 = e1 % 34.84/10.32 | % 34.84/10.32 | Equations (530) can reduce 159 to: % 34.84/10.32 | (1050) ~ (all_0_60_60 = e1) % 34.84/10.32 | % 34.84/10.32 | Simplifying 1050 yields: % 34.84/10.32 | (501) ~ (all_0_60_60 = e1) % 34.84/10.32 | % 34.84/10.32 +-Applying beta-rule and splitting (6577), into two cases. % 34.84/10.32 |-Branch one: % 34.84/10.32 | (3175) all_0_42_42 = e4 % 34.84/10.32 | % 34.84/10.32 | Combining equations (959,3175) yields a new equation: % 34.84/10.32 | (470) e4 = e2 % 34.84/10.32 | % 34.84/10.32 | Equations (470) can reduce 231 to: % 34.84/10.32 | (303) $false % 34.84/10.32 | % 34.84/10.32 |-The branch is then unsatisfiable % 34.84/10.32 |-Branch two: % 34.84/10.32 | (6245) ~ (all_0_42_42 = e4) % 34.84/10.32 | (6600) all_0_43_43 = e4 | all_0_44_44 = e4 % 34.84/10.32 | % 34.84/10.32 +-Applying beta-rule and splitting (6600), into two cases. % 34.84/10.32 |-Branch one: % 34.84/10.32 | (614) all_0_43_43 = e4 % 34.84/10.32 | % 34.84/10.32 | Combining equations (614,447) yields a new equation: % 34.84/10.32 | (718) e4 = e3 % 34.84/10.32 | % 34.84/10.32 | Simplifying 718 yields: % 34.84/10.32 | (443) e4 = e3 % 34.84/10.32 | % 34.84/10.32 | Equations (443) can reduce 30 to: % 34.84/10.32 | (303) $false % 34.84/10.32 | % 34.84/10.32 |-The branch is then unsatisfiable % 34.84/10.32 |-Branch two: % 34.84/10.32 | (712) ~ (all_0_43_43 = e4) % 34.84/10.32 | (1096) all_0_44_44 = e4 % 34.84/10.32 | % 34.84/10.32 | Equations (1096) can reduce 165 to: % 34.84/10.32 | (349) ~ (all_0_60_60 = e4) % 34.84/10.32 | % 34.84/10.32 | Simplifying 349 yields: % 34.84/10.32 | (350) ~ (all_0_60_60 = e4) % 34.84/10.32 | % 34.84/10.32 | Equations (1096) can reduce 330 to: % 34.84/10.32 | (4) ~ (e4 = e0) % 34.84/10.32 | % 34.84/10.32 | From (1096) and (107) follows: % 34.84/10.32 | (8501) op(e4, e0) = e4 % 34.84/10.32 | % 34.84/10.32 +-Applying beta-rule and splitting (220), into two cases. % 34.84/10.32 |-Branch one: % 34.84/10.32 | (913) all_0_60_60 = e2 % 34.84/10.32 | % 34.84/10.32 | Equations (913) can reduce 571 to: % 34.84/10.32 | (303) $false % 34.84/10.32 | % 34.84/10.32 |-The branch is then unsatisfiable % 34.84/10.32 |-Branch two: % 34.84/10.32 | (571) ~ (all_0_60_60 = e2) % 34.84/10.32 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 34.84/10.32 | % 34.84/10.32 +-Applying beta-rule and splitting (1275), into two cases. % 34.84/10.32 |-Branch one: % 34.84/10.32 | (1510) all_0_60_60 = e4 % 34.84/10.32 | % 34.84/10.32 | Equations (1510) can reduce 350 to: % 34.84/10.32 | (303) $false % 34.84/10.32 | % 34.84/10.32 |-The branch is then unsatisfiable % 34.84/10.32 |-Branch two: % 34.84/10.32 | (350) ~ (all_0_60_60 = e4) % 34.84/10.32 | (1906) all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 34.84/10.32 | % 34.84/10.32 +-Applying beta-rule and splitting (1906), into two cases. % 34.84/10.32 |-Branch one: % 34.84/10.32 | (604) all_0_60_60 = e1 % 34.84/10.32 | % 34.84/10.32 | Equations (604) can reduce 501 to: % 34.84/10.32 | (303) $false % 34.84/10.32 | % 34.84/10.32 |-The branch is then unsatisfiable % 34.84/10.32 |-Branch two: % 34.84/10.32 | (501) ~ (all_0_60_60 = e1) % 34.84/10.32 | (1933) all_0_60_60 = e3 | all_0_60_60 = e0 % 34.84/10.32 | % 34.84/10.32 +-Applying beta-rule and splitting (1933), into two cases. % 34.84/10.32 |-Branch one: % 34.84/10.32 | (1934) all_0_60_60 = e0 % 34.84/10.32 | % 34.84/10.32 | Equations (1934) can reduce 414 to: % 34.84/10.32 | (303) $false % 34.84/10.32 | % 34.84/10.32 |-The branch is then unsatisfiable % 34.84/10.32 |-Branch two: % 34.84/10.32 | (414) ~ (all_0_60_60 = e0) % 34.84/10.32 | (1937) all_0_60_60 = e3 % 34.84/10.32 | % 34.84/10.32 | Equations (1937) can reduce 174 to: % 34.84/10.32 | (526) ~ (all_0_56_56 = e3) % 34.84/10.32 | % 34.84/10.32 | Equations (1937) can reduce 350 to: % 34.84/10.32 | (439) ~ (e4 = e3) % 34.84/10.32 | % 34.84/10.32 | Simplifying 439 yields: % 34.84/10.32 | (30) ~ (e4 = e3) % 34.84/10.32 | % 34.84/10.32 | Equations (1937) can reduce 501 to: % 34.84/10.32 | (136) ~ (e3 = e1) % 34.84/10.32 | % 34.84/10.32 | From (1937) and (170) follows: % 34.84/10.32 | (9088) op(e0, e0) = e3 % 34.84/10.32 | % 34.84/10.32 +-Applying beta-rule and splitting (139), into two cases. % 34.84/10.32 |-Branch one: % 34.84/10.32 | (614) all_0_43_43 = e4 % 34.84/10.32 | % 34.84/10.32 | Combining equations (614,447) yields a new equation: % 34.84/10.32 | (718) e4 = e3 % 34.84/10.32 | % 34.84/10.32 | Simplifying 718 yields: % 34.84/10.32 | (443) e4 = e3 % 34.84/10.32 | % 34.84/10.32 | Equations (443) can reduce 30 to: % 34.84/10.32 | (303) $false % 34.84/10.32 | % 34.84/10.32 |-The branch is then unsatisfiable % 34.84/10.32 |-Branch two: % 34.84/10.32 | (712) ~ (all_0_43_43 = e4) % 34.84/10.32 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 34.84/10.32 | % 34.84/10.32 +-Applying beta-rule and splitting (100), into two cases. % 34.84/10.32 |-Branch one: % 34.84/10.32 | (618) all_0_43_43 = e1 % 34.84/10.32 | % 34.84/10.32 | Combining equations (618,447) yields a new equation: % 34.84/10.32 | (601) e3 = e1 % 34.84/10.32 | % 34.84/10.32 | Equations (601) can reduce 136 to: % 34.84/10.32 | (303) $false % 34.84/10.32 | % 34.84/10.32 |-The branch is then unsatisfiable % 34.84/10.32 |-Branch two: % 34.84/10.32 | (622) ~ (all_0_43_43 = e1) % 34.84/10.32 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 34.84/10.32 | % 34.84/10.32 +-Applying beta-rule and splitting (234), into two cases. % 34.84/10.32 |-Branch one: % 34.84/10.32 | (609) all_0_48_48 = e4 % 34.84/10.32 | % 34.84/10.32 | Equations (609) can reduce 48 to: % 34.84/10.32 | (610) ~ (all_0_50_50 = e4) % 34.84/10.32 | % 34.84/10.32 | Simplifying 610 yields: % 34.84/10.32 | (611) ~ (all_0_50_50 = e4) % 34.84/10.32 | % 34.84/10.32 | Equations (609) can reduce 2 to: % 34.84/10.32 | (2280) ~ (all_0_56_56 = e4) % 34.84/10.32 | % 34.84/10.32 | Simplifying 2280 yields: % 34.84/10.32 | (345) ~ (all_0_56_56 = e4) % 34.84/10.32 | % 34.84/10.32 | From (609) and (105) follows: % 34.84/10.32 | (613) op(e2, e4) = e4 % 34.84/10.32 | % 34.84/10.32 +-Applying beta-rule and splitting (367), into two cases. % 34.84/10.32 |-Branch one: % 34.84/10.32 | (714) all_0_50_50 = e4 % 34.84/10.32 | % 34.84/10.32 | Equations (714) can reduce 611 to: % 34.84/10.32 | (303) $false % 34.84/10.32 | % 34.84/10.32 |-The branch is then unsatisfiable % 34.84/10.32 |-Branch two: % 34.84/10.32 | (611) ~ (all_0_50_50 = e4) % 34.84/10.32 | (627) all_0_50_50 = e1 % 34.84/10.32 | % 34.84/10.32 | Equations (627) can reduce 611 to: % 34.84/10.32 | (605) ~ (e4 = e1) % 34.84/10.32 | % 34.84/10.32 | Simplifying 605 yields: % 34.84/10.32 | (247) ~ (e4 = e1) % 34.84/10.32 | % 34.84/10.32 | From (627) and (186) follows: % 34.84/10.32 | (1166) op(e2, e1) = e1 % 34.84/10.32 | % 34.84/10.32 +-Applying beta-rule and splitting (243), into two cases. % 34.84/10.32 |-Branch one: % 34.84/10.32 | (877) all_0_56_56 = e4 % 34.84/10.32 | % 34.84/10.32 | Equations (877) can reduce 345 to: % 34.84/10.32 | (303) $false % 34.84/10.32 | % 34.84/10.32 |-The branch is then unsatisfiable % 34.84/10.32 |-Branch two: % 34.84/10.32 | (345) ~ (all_0_56_56 = e4) % 34.84/10.32 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 34.84/10.32 | % 34.84/10.32 +-Applying beta-rule and splitting (245), into two cases. % 34.84/10.32 |-Branch one: % 34.84/10.32 | (583) all_0_56_56 = e1 % 34.84/10.32 | % 34.84/10.32 | Equations (583) can reduce 345 to: % 34.84/10.32 | (605) ~ (e4 = e1) % 34.84/10.32 | % 34.84/10.32 | Simplifying 605 yields: % 34.84/10.32 | (247) ~ (e4 = e1) % 34.84/10.32 | % 34.84/10.32 | Equations (583) can reduce 296 to: % 34.84/10.32 | (134) ~ (e1 = e0) % 34.84/10.32 | % 34.84/10.32 +-Applying beta-rule and splitting (713), into two cases. % 34.84/10.32 |-Branch one: % 34.84/10.32 | (714) all_0_50_50 = e4 % 34.84/10.32 | % 34.84/10.32 | Combining equations (627,714) yields a new equation: % 34.84/10.32 | (541) e4 = e1 % 34.84/10.32 | % 34.84/10.32 | Equations (541) can reduce 247 to: % 34.84/10.32 | (303) $false % 34.84/10.32 | % 34.84/10.32 |-The branch is then unsatisfiable % 34.84/10.32 |-Branch two: % 34.84/10.32 | (611) ~ (all_0_50_50 = e4) % 34.84/10.32 | (717) all_0_59_59 = e4 % 34.84/10.32 | % 34.84/10.32 | From (717) and (90) follows: % 34.84/10.32 | (3322) op(e0, e1) = e4 % 34.84/10.32 | % 34.84/10.32 +-Applying beta-rule and splitting (62), into two cases. % 34.84/10.32 |-Branch one: % 34.84/10.32 | (631) unit = e2 % 34.84/10.32 | % 34.84/10.32 | From (631) and (232) follows: % 34.84/10.32 | (2714) op(e2, e3) = e3 % 34.84/10.32 | % 34.84/10.32 | From (631) and (98) follows: % 34.84/10.32 | (5015) op(e3, e2) = e3 % 34.84/10.32 | % 34.84/10.32 | From (631) and (74) follows: % 34.84/10.32 | (2715) op(e2, e2) = e2 % 34.84/10.32 | % 34.84/10.32 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 34.84/10.32 | (601) e3 = e1 % 34.84/10.32 | % 34.84/10.32 | Instantiating formula (29) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields: % 34.84/10.32 | (497) e3 = e0 % 34.84/10.32 | % 34.84/10.32 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 34.84/10.32 | (453) e3 = e2 % 34.84/10.32 | % 34.84/10.32 | Combining equations (601,453) yields a new equation: % 34.84/10.32 | (585) e2 = e1 % 34.84/10.32 | % 34.84/10.32 | Combining equations (497,453) yields a new equation: % 34.84/10.32 | (385) e2 = e0 % 34.84/10.32 | % 34.84/10.32 | Combining equations (585,385) yields a new equation: % 34.84/10.32 | (670) e1 = e0 % 34.84/10.32 | % 34.84/10.32 | Simplifying 670 yields: % 34.84/10.32 | (590) e1 = e0 % 34.84/10.32 | % 34.84/10.32 | Equations (590) can reduce 134 to: % 34.84/10.32 | (303) $false % 34.84/10.32 | % 34.84/10.32 |-The branch is then unsatisfiable % 34.84/10.32 |-Branch two: % 34.84/10.32 | (599) ~ (unit = e2) % 34.84/10.32 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 34.84/10.32 | % 34.84/10.32 +-Applying beta-rule and splitting (634), into two cases. % 34.84/10.32 |-Branch one: % 34.84/10.32 | (635) unit = e4 % 34.84/10.32 | % 34.84/10.32 | From (635) and (189) follows: % 34.84/10.32 | (8484) op(e4, e0) = e0 % 34.84/10.32 | % 34.84/10.32 | From (635) and (74) follows: % 34.84/10.32 | (637) op(e2, e4) = e2 % 34.84/10.32 | % 34.84/10.32 | From (635) and (190) follows: % 34.84/10.32 | (1178) op(e1, e4) = e1 % 34.84/10.32 | % 34.84/10.32 | Instantiating formula (29) with e4, e0, e0, e4 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 34.84/10.32 | (654) e4 = e0 % 34.84/10.32 | % 34.84/10.32 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 34.84/10.32 | (470) e4 = e2 % 34.84/10.32 | % 34.84/10.32 | Instantiating formula (29) with e1, e4, e1, e2 and discharging atoms op(e1, e4) = e2, op(e1, e4) = e1, yields: % 34.84/10.32 | (585) e2 = e1 % 34.84/10.32 | % 34.84/10.32 | Combining equations (470,654) yields a new equation: % 34.84/10.32 | (403) e2 = e0 % 34.84/10.32 | % 34.84/10.32 | Simplifying 403 yields: % 34.84/10.32 | (385) e2 = e0 % 34.84/10.32 | % 34.84/10.32 | Combining equations (585,385) yields a new equation: % 34.84/10.32 | (670) e1 = e0 % 34.84/10.32 | % 34.84/10.32 | Simplifying 670 yields: % 34.84/10.32 | (590) e1 = e0 % 34.84/10.32 | % 34.84/10.32 | Equations (590) can reduce 134 to: % 34.84/10.32 | (303) $false % 34.84/10.32 | % 34.84/10.32 |-The branch is then unsatisfiable % 34.84/10.32 |-Branch two: % 34.84/10.32 | (484) ~ (unit = e4) % 34.84/10.32 | (647) unit = e3 | unit = e1 | unit = e0 % 34.84/10.32 | % 34.84/10.32 +-Applying beta-rule and splitting (647), into two cases. % 34.84/10.32 |-Branch one: % 34.84/10.32 | (648) unit = e1 % 34.84/10.32 | % 34.84/10.32 | From (648) and (130) follows: % 34.84/10.32 | (617) op(e4, e1) = e4 % 34.84/10.32 | % 34.84/10.32 | From (648) and (98) follows: % 34.84/10.32 | (1862) op(e3, e1) = e3 % 34.84/10.32 | % 34.84/10.32 | From (648) and (74) follows: % 34.84/10.32 | (769) op(e2, e1) = e2 % 34.84/10.32 | % 34.84/10.32 | From (648) and (111) follows: % 34.84/10.32 | (770) op(e0, e1) = e0 % 34.84/10.32 | % 34.84/10.32 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 34.84/10.32 | (443) e4 = e3 % 34.84/10.32 | % 34.84/10.32 | Instantiating formula (29) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields: % 34.84/10.32 | (453) e3 = e2 % 34.84/10.32 | % 34.84/10.32 | Instantiating formula (29) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 34.84/10.32 | (585) e2 = e1 % 34.84/10.32 | % 34.84/10.32 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 34.84/10.32 | (654) e4 = e0 % 34.84/10.32 | % 34.84/10.32 | Combining equations (443,654) yields a new equation: % 34.84/10.32 | (496) e3 = e0 % 34.84/10.32 | % 34.84/10.32 | Simplifying 496 yields: % 34.84/10.32 | (497) e3 = e0 % 34.84/10.32 | % 34.84/10.33 | Combining equations (497,453) yields a new equation: % 34.84/10.33 | (385) e2 = e0 % 34.84/10.33 | % 34.84/10.33 | Combining equations (585,385) yields a new equation: % 34.84/10.33 | (670) e1 = e0 % 34.84/10.33 | % 34.84/10.33 | Simplifying 670 yields: % 34.84/10.33 | (590) e1 = e0 % 34.84/10.33 | % 34.84/10.33 | Equations (590) can reduce 134 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (510) ~ (unit = e1) % 34.84/10.33 | (659) unit = e3 | unit = e0 % 34.84/10.33 | % 34.84/10.33 +-Applying beta-rule and splitting (659), into two cases. % 34.84/10.33 |-Branch one: % 34.84/10.33 | (660) unit = e0 % 34.84/10.33 | % 34.84/10.33 | Equations (660) can reduce 599 to: % 34.84/10.33 | (335) ~ (e2 = e0) % 34.84/10.33 | % 34.84/10.33 | Simplifying 335 yields: % 34.84/10.33 | (51) ~ (e2 = e0) % 34.84/10.33 | % 34.84/10.33 | From (660) and (232) follows: % 34.84/10.33 | (1196) op(e0, e3) = e3 % 34.84/10.33 | % 34.84/10.33 | From (660) and (111) follows: % 34.84/10.33 | (3633) op(e0, e0) = e0 % 34.84/10.33 | % 34.84/10.33 | Instantiating formula (29) with e0, e3, e3, e2 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e2, yields: % 34.84/10.33 | (453) e3 = e2 % 34.84/10.33 | % 34.84/10.33 | Instantiating formula (29) with e0, e0, e0, e3 and discharging atoms op(e0, e0) = e3, op(e0, e0) = e0, yields: % 34.84/10.33 | (497) e3 = e0 % 34.84/10.33 | % 34.84/10.33 | Combining equations (453,497) yields a new equation: % 34.84/10.33 | (403) e2 = e0 % 34.84/10.33 | % 34.84/10.33 | Simplifying 403 yields: % 34.84/10.33 | (385) e2 = e0 % 34.84/10.33 | % 34.84/10.33 | Equations (385) can reduce 51 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (537) ~ (unit = e0) % 34.84/10.33 | (674) unit = e3 % 34.84/10.33 | % 34.84/10.33 | From (674) and (38) follows: % 34.84/10.33 | (675) op(e3, e1) = e1 % 34.84/10.33 | % 34.84/10.33 | From (674) and (111) follows: % 34.84/10.33 | (420) op(e0, e3) = e0 % 34.84/10.33 | % 34.84/10.33 | Instantiating formula (29) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 34.84/10.33 | (585) e2 = e1 % 34.84/10.33 | % 34.84/10.33 | Instantiating formula (29) with e0, e3, e0, e2 and discharging atoms op(e0, e3) = e2, op(e0, e3) = e0, yields: % 34.84/10.33 | (385) e2 = e0 % 34.84/10.33 | % 34.84/10.33 | Combining equations (385,585) yields a new equation: % 34.84/10.33 | (590) e1 = e0 % 34.84/10.33 | % 34.84/10.33 | Equations (590) can reduce 134 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (587) ~ (all_0_56_56 = e1) % 34.84/10.33 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 34.84/10.33 | % 34.84/10.33 +-Applying beta-rule and splitting (141), into two cases. % 34.84/10.33 |-Branch one: % 34.84/10.33 | (580) all_0_56_56 = e2 % 34.84/10.33 | % 34.84/10.33 | Equations (580) can reduce 594 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (594) ~ (all_0_56_56 = e2) % 34.84/10.33 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 34.84/10.33 | % 34.84/10.33 +-Applying beta-rule and splitting (713), into two cases. % 34.84/10.33 |-Branch one: % 34.84/10.33 | (714) all_0_50_50 = e4 % 34.84/10.33 | % 34.84/10.33 | Combining equations (627,714) yields a new equation: % 34.84/10.33 | (541) e4 = e1 % 34.84/10.33 | % 34.84/10.33 | Equations (541) can reduce 247 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (611) ~ (all_0_50_50 = e4) % 34.84/10.33 | (717) all_0_59_59 = e4 % 34.84/10.33 | % 34.84/10.33 | Equations (717) can reduce 42 to: % 34.84/10.33 | (345) ~ (all_0_56_56 = e4) % 34.84/10.33 | % 34.84/10.33 +-Applying beta-rule and splitting (979), into two cases. % 34.84/10.33 |-Branch one: % 34.84/10.33 | (877) all_0_56_56 = e4 % 34.84/10.33 | % 34.84/10.33 | Equations (877) can reduce 345 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (345) ~ (all_0_56_56 = e4) % 34.84/10.33 | (2325) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 34.84/10.33 | % 34.84/10.33 +-Applying beta-rule and splitting (2325), into two cases. % 34.84/10.33 |-Branch one: % 34.84/10.33 | (583) all_0_56_56 = e1 % 34.84/10.33 | % 34.84/10.33 | Equations (583) can reduce 587 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (587) ~ (all_0_56_56 = e1) % 34.84/10.33 | (2329) all_0_56_56 = e3 | all_0_56_56 = e0 % 34.84/10.33 | % 34.84/10.33 +-Applying beta-rule and splitting (2329), into two cases. % 34.84/10.33 |-Branch one: % 34.84/10.33 | (2307) all_0_56_56 = e0 % 34.84/10.33 | % 34.84/10.33 | Equations (2307) can reduce 296 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (296) ~ (all_0_56_56 = e0) % 34.84/10.33 | (1111) all_0_56_56 = e3 % 34.84/10.33 | % 34.84/10.33 | Equations (1111) can reduce 526 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (721) ~ (all_0_48_48 = e4) % 34.84/10.33 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 34.84/10.33 | % 34.84/10.33 +-Applying beta-rule and splitting (212), into two cases. % 34.84/10.33 |-Branch one: % 34.84/10.33 | (727) all_0_48_48 = e2 % 34.84/10.33 | % 34.84/10.33 | Equations (727) can reduce 544 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (544) ~ (all_0_48_48 = e2) % 34.84/10.33 | (730) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 34.84/10.33 | % 34.84/10.33 +-Applying beta-rule and splitting (196), into two cases. % 34.84/10.33 |-Branch one: % 34.84/10.33 | (723) all_0_40_40 = e4 % 34.84/10.33 | % 34.84/10.33 | Combining equations (723,2834) yields a new equation: % 34.84/10.33 | (1573) e4 = e0 % 34.84/10.33 | % 34.84/10.33 | Simplifying 1573 yields: % 34.84/10.33 | (654) e4 = e0 % 34.84/10.33 | % 34.84/10.33 | Equations (654) can reduce 4 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (844) ~ (all_0_40_40 = e4) % 34.84/10.33 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 34.84/10.33 | % 34.84/10.33 +-Applying beta-rule and splitting (730), into two cases. % 34.84/10.33 |-Branch one: % 34.84/10.33 | (609) all_0_48_48 = e4 % 34.84/10.33 | % 34.84/10.33 | Equations (609) can reduce 721 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (721) ~ (all_0_48_48 = e4) % 34.84/10.33 | (811) all_0_48_48 = e1 | all_0_48_48 = e0 % 34.84/10.33 | % 34.84/10.33 +-Applying beta-rule and splitting (845), into two cases. % 34.84/10.33 |-Branch one: % 34.84/10.33 | (609) all_0_48_48 = e4 % 34.84/10.33 | % 34.84/10.33 | Equations (609) can reduce 721 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (721) ~ (all_0_48_48 = e4) % 34.84/10.33 | (871) all_0_52_52 = e4 | all_0_56_56 = e4 % 34.84/10.33 | % 34.84/10.33 +-Applying beta-rule and splitting (811), into two cases. % 34.84/10.33 |-Branch one: % 34.84/10.33 | (748) all_0_48_48 = e1 % 34.84/10.33 | % 34.84/10.33 | Equations (748) can reduce 48 to: % 34.84/10.33 | (855) ~ (all_0_50_50 = e1) % 34.84/10.33 | % 34.84/10.33 | Simplifying 855 yields: % 34.84/10.33 | (678) ~ (all_0_50_50 = e1) % 34.84/10.33 | % 34.84/10.33 | Equations (748) can reduce 2 to: % 34.84/10.33 | (1799) ~ (all_0_56_56 = e1) % 34.84/10.33 | % 34.84/10.33 | Simplifying 1799 yields: % 34.84/10.33 | (587) ~ (all_0_56_56 = e1) % 34.84/10.33 | % 34.84/10.33 +-Applying beta-rule and splitting (367), into two cases. % 34.84/10.33 |-Branch one: % 34.84/10.33 | (714) all_0_50_50 = e4 % 34.84/10.33 | % 34.84/10.33 | Equations (714) can reduce 258 to: % 34.84/10.33 | (231) ~ (e4 = e2) % 34.84/10.33 | % 34.84/10.33 +-Applying beta-rule and splitting (227), into two cases. % 34.84/10.33 |-Branch one: % 34.84/10.33 | (909) all_0_59_59 = e2 % 34.84/10.33 | % 34.84/10.33 | Equations (909) can reduce 260 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (260) ~ (all_0_59_59 = e2) % 34.84/10.33 | (1037) all_0_59_59 = e4 | all_0_59_59 = e3 | all_0_59_59 = e1 % 34.84/10.33 | % 34.84/10.33 +-Applying beta-rule and splitting (243), into two cases. % 34.84/10.33 |-Branch one: % 34.84/10.33 | (877) all_0_56_56 = e4 % 34.84/10.33 | % 34.84/10.33 | Equations (877) can reduce 587 to: % 34.84/10.33 | (247) ~ (e4 = e1) % 34.84/10.33 | % 34.84/10.33 +-Applying beta-rule and splitting (245), into two cases. % 34.84/10.33 |-Branch one: % 34.84/10.33 | (583) all_0_56_56 = e1 % 34.84/10.33 | % 34.84/10.33 | Combining equations (877,583) yields a new equation: % 34.84/10.33 | (540) e4 = e1 % 34.84/10.33 | % 34.84/10.33 | Simplifying 540 yields: % 34.84/10.33 | (541) e4 = e1 % 34.84/10.33 | % 34.84/10.33 | Equations (541) can reduce 247 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (587) ~ (all_0_56_56 = e1) % 34.84/10.33 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 34.84/10.33 | % 34.84/10.33 | Equations (877) can reduce 587 to: % 34.84/10.33 | (247) ~ (e4 = e1) % 34.84/10.33 | % 34.84/10.33 +-Applying beta-rule and splitting (623), into two cases. % 34.84/10.33 |-Branch one: % 34.84/10.33 | (627) all_0_50_50 = e1 % 34.84/10.33 | % 34.84/10.33 | Combining equations (714,627) yields a new equation: % 34.84/10.33 | (540) e4 = e1 % 34.84/10.33 | % 34.84/10.33 | Simplifying 540 yields: % 34.84/10.33 | (541) e4 = e1 % 34.84/10.33 | % 34.84/10.33 | Equations (541) can reduce 247 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (678) ~ (all_0_50_50 = e1) % 34.84/10.33 | (600) all_0_59_59 = e1 % 34.84/10.33 | % 34.84/10.33 | Equations (600) can reduce 260 to: % 34.84/10.33 | (565) ~ (e2 = e1) % 34.84/10.33 | % 34.84/10.33 | Simplifying 565 yields: % 34.84/10.33 | (144) ~ (e2 = e1) % 34.84/10.33 | % 34.84/10.33 | Equations (600) can reduce 216 to: % 34.84/10.33 | (134) ~ (e1 = e0) % 34.84/10.33 | % 34.84/10.33 | From (600) and (90) follows: % 34.84/10.33 | (2749) op(e0, e1) = e1 % 34.84/10.33 | % 34.84/10.33 +-Applying beta-rule and splitting (62), into two cases. % 34.84/10.33 |-Branch one: % 34.84/10.33 | (631) unit = e2 % 34.84/10.33 | % 34.84/10.33 | From (631) and (189) follows: % 34.84/10.33 | (397) op(e2, e0) = e0 % 34.84/10.33 | % 34.84/10.33 | From (631) and (98) follows: % 34.84/10.33 | (5015) op(e3, e2) = e3 % 34.84/10.33 | % 34.84/10.33 | From (631) and (74) follows: % 34.84/10.33 | (2715) op(e2, e2) = e2 % 34.84/10.33 | % 34.84/10.33 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 34.84/10.33 | (601) e3 = e1 % 34.84/10.33 | % 34.84/10.33 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 34.84/10.33 | (453) e3 = e2 % 34.84/10.33 | % 34.84/10.33 | Instantiating formula (29) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 34.84/10.33 | (385) e2 = e0 % 34.84/10.33 | % 34.84/10.33 | Combining equations (453,601) yields a new equation: % 34.84/10.33 | (584) e2 = e1 % 34.84/10.33 | % 34.84/10.33 | Simplifying 584 yields: % 34.84/10.33 | (585) e2 = e1 % 34.84/10.33 | % 34.84/10.33 | Combining equations (585,385) yields a new equation: % 34.84/10.33 | (670) e1 = e0 % 34.84/10.33 | % 34.84/10.33 | Simplifying 670 yields: % 34.84/10.33 | (590) e1 = e0 % 34.84/10.33 | % 34.84/10.33 | Equations (590) can reduce 134 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (599) ~ (unit = e2) % 34.84/10.33 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 34.84/10.33 | % 34.84/10.33 +-Applying beta-rule and splitting (634), into two cases. % 34.84/10.33 |-Branch one: % 34.84/10.33 | (635) unit = e4 % 34.84/10.33 | % 34.84/10.33 | From (635) and (190) follows: % 34.84/10.33 | (1178) op(e1, e4) = e1 % 34.84/10.33 | % 34.84/10.33 | Instantiating formula (29) with e1, e4, e1, e2 and discharging atoms op(e1, e4) = e2, op(e1, e4) = e1, yields: % 34.84/10.33 | (585) e2 = e1 % 34.84/10.33 | % 34.84/10.33 | Equations (585) can reduce 144 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (484) ~ (unit = e4) % 34.84/10.33 | (647) unit = e3 | unit = e1 | unit = e0 % 34.84/10.33 | % 34.84/10.33 +-Applying beta-rule and splitting (647), into two cases. % 34.84/10.33 |-Branch one: % 34.84/10.33 | (648) unit = e1 % 34.84/10.33 | % 34.84/10.33 | From (648) and (111) follows: % 34.84/10.33 | (770) op(e0, e1) = e0 % 34.84/10.33 | % 34.84/10.33 | Instantiating formula (29) with e0, e1, e0, e1 and discharging atoms op(e0, e1) = e1, op(e0, e1) = e0, yields: % 34.84/10.33 | (590) e1 = e0 % 34.84/10.33 | % 34.84/10.33 | Equations (590) can reduce 134 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (510) ~ (unit = e1) % 34.84/10.33 | (659) unit = e3 | unit = e0 % 34.84/10.33 | % 34.84/10.33 +-Applying beta-rule and splitting (659), into two cases. % 34.84/10.33 |-Branch one: % 34.84/10.33 | (660) unit = e0 % 34.84/10.33 | % 34.84/10.33 | Equations (660) can reduce 599 to: % 34.84/10.33 | (335) ~ (e2 = e0) % 34.84/10.33 | % 34.84/10.33 | Simplifying 335 yields: % 34.84/10.33 | (51) ~ (e2 = e0) % 34.84/10.33 | % 34.84/10.33 | From (660) and (232) follows: % 34.84/10.33 | (1196) op(e0, e3) = e3 % 34.84/10.33 | % 34.84/10.33 | From (660) and (111) follows: % 34.84/10.33 | (3633) op(e0, e0) = e0 % 34.84/10.33 | % 34.84/10.33 | Instantiating formula (29) with e0, e3, e3, e2 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e2, yields: % 34.84/10.33 | (453) e3 = e2 % 34.84/10.33 | % 34.84/10.33 | Instantiating formula (29) with e0, e0, e0, e3 and discharging atoms op(e0, e0) = e3, op(e0, e0) = e0, yields: % 34.84/10.33 | (497) e3 = e0 % 34.84/10.33 | % 34.84/10.33 | Combining equations (497,453) yields a new equation: % 34.84/10.33 | (385) e2 = e0 % 34.84/10.33 | % 34.84/10.33 | Equations (385) can reduce 51 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (537) ~ (unit = e0) % 34.84/10.33 | (674) unit = e3 % 34.84/10.33 | % 34.84/10.33 | From (674) and (38) follows: % 34.84/10.33 | (675) op(e3, e1) = e1 % 34.84/10.33 | % 34.84/10.33 | From (674) and (111) follows: % 34.84/10.33 | (420) op(e0, e3) = e0 % 34.84/10.33 | % 34.84/10.33 | Instantiating formula (29) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 34.84/10.33 | (585) e2 = e1 % 34.84/10.33 | % 34.84/10.33 | Instantiating formula (29) with e0, e3, e0, e2 and discharging atoms op(e0, e3) = e2, op(e0, e3) = e0, yields: % 34.84/10.33 | (385) e2 = e0 % 34.84/10.33 | % 34.84/10.33 | Combining equations (385,585) yields a new equation: % 34.84/10.33 | (590) e1 = e0 % 34.84/10.33 | % 34.84/10.33 | Equations (590) can reduce 134 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (345) ~ (all_0_56_56 = e4) % 34.84/10.33 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 34.84/10.33 | % 34.84/10.33 +-Applying beta-rule and splitting (871), into two cases. % 34.84/10.33 |-Branch one: % 34.84/10.33 | (442) all_0_52_52 = e4 % 34.84/10.33 | % 34.84/10.33 | Combining equations (980,442) yields a new equation: % 34.84/10.33 | (470) e4 = e2 % 34.84/10.33 | % 34.84/10.33 | Equations (470) can reduce 231 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (445) ~ (all_0_52_52 = e4) % 34.84/10.33 | (877) all_0_56_56 = e4 % 34.84/10.33 | % 34.84/10.33 | Equations (877) can reduce 345 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (611) ~ (all_0_50_50 = e4) % 34.84/10.33 | (627) all_0_50_50 = e1 % 34.84/10.33 | % 34.84/10.33 | Equations (627) can reduce 678 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (802) ~ (all_0_48_48 = e1) % 34.84/10.33 | (380) all_0_48_48 = e0 % 34.84/10.33 | % 34.84/10.33 | Equations (380) can reduce 292 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (428) ~ (all_0_53_53 = e3) % 34.84/10.33 | (1001) all_0_57_57 = e3 % 34.84/10.33 | % 34.84/10.33 | Combining equations (897,1001) yields a new equation: % 34.84/10.33 | (453) e3 = e2 % 34.84/10.33 | % 34.84/10.33 | Equations (453) can reduce 223 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (699) ~ (all_0_41_41 = e1) % 34.84/10.33 | (2158) all_0_41_41 = e3 | all_0_41_41 = e0 % 34.84/10.33 | % 34.84/10.33 +-Applying beta-rule and splitting (237), into two cases. % 34.84/10.33 |-Branch one: % 34.84/10.33 | (431) all_0_41_41 = e3 % 34.84/10.33 | % 34.84/10.33 | Equations (431) can reduce 996 to: % 34.84/10.33 | (303) $false % 34.84/10.33 | % 34.84/10.33 |-The branch is then unsatisfiable % 34.84/10.33 |-Branch two: % 34.84/10.33 | (996) ~ (all_0_41_41 = e3) % 34.84/10.33 | (997) all_0_53_53 = e3 | all_0_57_57 = e3 % 34.84/10.33 | % 34.84/10.33 +-Applying beta-rule and splitting (997), into two cases. % 34.84/10.33 |-Branch one: % 34.84/10.33 | (994) all_0_53_53 = e3 % 34.84/10.33 | % 34.84/10.33 | Equations (994) can reduce 121 to: % 34.84/10.34 | (996) ~ (all_0_41_41 = e3) % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (2158), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (398) all_0_41_41 = e0 % 34.84/10.34 | % 34.84/10.34 | Equations (398) can reduce 326 to: % 34.84/10.34 | (303) $false % 34.84/10.34 | % 34.84/10.34 |-The branch is then unsatisfiable % 34.84/10.34 |-Branch two: % 34.84/10.34 | (326) ~ (all_0_41_41 = e0) % 34.84/10.34 | (431) all_0_41_41 = e3 % 34.84/10.34 | % 34.84/10.34 | Equations (431) can reduce 996 to: % 34.84/10.34 | (303) $false % 34.84/10.34 | % 34.84/10.34 |-The branch is then unsatisfiable % 34.84/10.34 |-Branch two: % 34.84/10.34 | (428) ~ (all_0_53_53 = e3) % 34.84/10.34 | (1001) all_0_57_57 = e3 % 34.84/10.34 | % 34.84/10.34 | Combining equations (1001,897) yields a new equation: % 34.84/10.34 | (452) e3 = e2 % 34.84/10.34 | % 34.84/10.34 | Simplifying 452 yields: % 34.84/10.34 | (453) e3 = e2 % 34.84/10.34 | % 34.84/10.34 | Equations (453) can reduce 223 to: % 34.84/10.34 | (303) $false % 34.84/10.34 | % 34.84/10.34 |-The branch is then unsatisfiable % 34.84/10.34 |-Branch two: % 34.84/10.34 | (434) ~ (all_0_43_43 = e3) % 34.84/10.34 | (450) all_0_46_46 = e3 | all_0_59_59 = e3 % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (450), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (451) all_0_46_46 = e3 % 34.84/10.34 | % 34.84/10.34 | Combining equations (451,252) yields a new equation: % 34.84/10.34 | (452) e3 = e2 % 34.84/10.34 | % 34.84/10.34 | Simplifying 452 yields: % 34.84/10.34 | (453) e3 = e2 % 34.84/10.34 | % 34.84/10.34 | Equations (453) can reduce 223 to: % 34.84/10.34 | (303) $false % 34.84/10.34 | % 34.84/10.34 |-The branch is then unsatisfiable % 34.84/10.34 |-Branch two: % 34.84/10.34 | (455) ~ (all_0_46_46 = e3) % 34.84/10.34 | (456) all_0_59_59 = e3 % 34.84/10.34 | % 34.84/10.34 | Equations (456) can reduce 164 to: % 34.84/10.34 | (315) ~ (all_0_60_60 = e3) % 34.84/10.34 | % 34.84/10.34 | Simplifying 315 yields: % 34.84/10.34 | (316) ~ (all_0_60_60 = e3) % 34.84/10.34 | % 34.84/10.34 | Equations (456) can reduce 260 to: % 34.84/10.34 | (223) ~ (e3 = e2) % 34.84/10.34 | % 34.84/10.34 | From (456) and (90) follows: % 34.84/10.34 | (461) op(e0, e1) = e3 % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (100), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (618) all_0_43_43 = e1 % 34.84/10.34 | % 34.84/10.34 | Equations (618) can reduce 43 to: % 34.84/10.34 | (699) ~ (all_0_41_41 = e1) % 34.84/10.34 | % 34.84/10.34 | Equations (618) can reduce 82 to: % 34.84/10.34 | (1022) ~ (all_0_44_44 = e1) % 34.84/10.34 | % 34.84/10.34 | Simplifying 1022 yields: % 34.84/10.34 | (512) ~ (all_0_44_44 = e1) % 34.84/10.34 | % 34.84/10.34 | Equations (618) can reduce 238 to: % 34.84/10.34 | (855) ~ (all_0_50_50 = e1) % 34.84/10.34 | % 34.84/10.34 | Simplifying 855 yields: % 34.84/10.34 | (678) ~ (all_0_50_50 = e1) % 34.84/10.34 | % 34.84/10.34 | Equations (618) can reduce 253 to: % 34.84/10.34 | (565) ~ (e2 = e1) % 34.84/10.34 | % 34.84/10.34 | Simplifying 565 yields: % 34.84/10.34 | (144) ~ (e2 = e1) % 34.84/10.34 | % 34.84/10.34 | Equations (618) can reduce 117 to: % 34.84/10.34 | (134) ~ (e1 = e0) % 34.84/10.34 | % 34.84/10.34 | From (618) and (19) follows: % 34.84/10.34 | (636) op(e4, e1) = e1 % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (139), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (614) all_0_43_43 = e4 % 34.84/10.34 | % 34.84/10.34 | Combining equations (614,618) yields a new equation: % 34.84/10.34 | (540) e4 = e1 % 34.84/10.34 | % 34.84/10.34 | Simplifying 540 yields: % 34.84/10.34 | (541) e4 = e1 % 34.84/10.34 | % 34.84/10.34 | Equations (541) can reduce 247 to: % 34.84/10.34 | (303) $false % 34.84/10.34 | % 34.84/10.34 |-The branch is then unsatisfiable % 34.84/10.34 |-Branch two: % 34.84/10.34 | (712) ~ (all_0_43_43 = e4) % 34.84/10.34 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (713), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (714) all_0_50_50 = e4 % 34.84/10.34 | % 34.84/10.34 | Equations (714) can reduce 48 to: % 34.84/10.34 | (721) ~ (all_0_48_48 = e4) % 34.84/10.34 | % 34.84/10.34 | Equations (714) can reduce 258 to: % 34.84/10.34 | (231) ~ (e4 = e2) % 34.84/10.34 | % 34.84/10.34 | Equations (714) can reduce 678 to: % 34.84/10.34 | (247) ~ (e4 = e1) % 34.84/10.34 | % 34.84/10.34 | Equations (714) can reduce 207 to: % 34.84/10.34 | (4) ~ (e4 = e0) % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (212), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (727) all_0_48_48 = e2 % 34.84/10.34 | % 34.84/10.34 | Equations (727) can reduce 544 to: % 34.84/10.34 | (303) $false % 34.84/10.34 | % 34.84/10.34 |-The branch is then unsatisfiable % 34.84/10.34 |-Branch two: % 34.84/10.34 | (544) ~ (all_0_48_48 = e2) % 34.84/10.34 | (730) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (180), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (945) all_0_41_41 = e2 % 34.84/10.34 | % 34.84/10.34 | Equations (945) can reduce 369 to: % 34.84/10.34 | (303) $false % 34.84/10.34 | % 34.84/10.34 |-The branch is then unsatisfiable % 34.84/10.34 |-Branch two: % 34.84/10.34 | (369) ~ (all_0_41_41 = e2) % 34.84/10.34 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (21), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (723) all_0_40_40 = e4 % 34.84/10.34 | % 34.84/10.34 | Combining equations (723,2834) yields a new equation: % 34.84/10.34 | (1573) e4 = e0 % 34.84/10.34 | % 34.84/10.34 | Simplifying 1573 yields: % 34.84/10.34 | (654) e4 = e0 % 34.84/10.34 | % 34.84/10.34 | Equations (654) can reduce 4 to: % 34.84/10.34 | (303) $false % 34.84/10.34 | % 34.84/10.34 |-The branch is then unsatisfiable % 34.84/10.34 |-Branch two: % 34.84/10.34 | (844) ~ (all_0_40_40 = e4) % 34.84/10.34 | (6577) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 34.84/10.34 | % 34.84/10.34 | Equations (2834) can reduce 844 to: % 34.84/10.34 | (297) ~ (e4 = e0) % 34.84/10.34 | % 34.84/10.34 | Simplifying 297 yields: % 34.84/10.34 | (4) ~ (e4 = e0) % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (221), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (696) all_0_41_41 = e1 % 34.84/10.34 | % 34.84/10.34 | Equations (696) can reduce 699 to: % 34.84/10.34 | (303) $false % 34.84/10.34 | % 34.84/10.34 |-The branch is then unsatisfiable % 34.84/10.34 |-Branch two: % 34.84/10.34 | (699) ~ (all_0_41_41 = e1) % 34.84/10.34 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (730), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (609) all_0_48_48 = e4 % 34.84/10.34 | % 34.84/10.34 | Equations (609) can reduce 721 to: % 34.84/10.34 | (303) $false % 34.84/10.34 | % 34.84/10.34 |-The branch is then unsatisfiable % 34.84/10.34 |-Branch two: % 34.84/10.34 | (721) ~ (all_0_48_48 = e4) % 34.84/10.34 | (811) all_0_48_48 = e1 | all_0_48_48 = e0 % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (228), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (748) all_0_48_48 = e1 % 34.84/10.34 | % 34.84/10.34 | Equations (748) can reduce 721 to: % 34.84/10.34 | (605) ~ (e4 = e1) % 34.84/10.34 | % 34.84/10.34 | Simplifying 605 yields: % 34.84/10.34 | (247) ~ (e4 = e1) % 34.84/10.34 | % 34.84/10.34 | Equations (748) can reduce 34 to: % 34.84/10.34 | (465) ~ (e3 = e1) % 34.84/10.34 | % 34.84/10.34 | Simplifying 465 yields: % 34.84/10.34 | (136) ~ (e3 = e1) % 34.84/10.34 | % 34.84/10.34 | Equations (748) can reduce 544 to: % 34.84/10.34 | (565) ~ (e2 = e1) % 34.84/10.34 | % 34.84/10.34 | Simplifying 565 yields: % 34.84/10.34 | (144) ~ (e2 = e1) % 34.84/10.34 | % 34.84/10.34 | Equations (748) can reduce 292 to: % 34.84/10.34 | (134) ~ (e1 = e0) % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (196), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (723) all_0_40_40 = e4 % 34.84/10.34 | % 34.84/10.34 | Combining equations (723,2834) yields a new equation: % 34.84/10.34 | (1573) e4 = e0 % 34.84/10.34 | % 34.84/10.34 | Simplifying 1573 yields: % 34.84/10.34 | (654) e4 = e0 % 34.84/10.34 | % 34.84/10.34 | Equations (654) can reduce 4 to: % 34.84/10.34 | (303) $false % 34.84/10.34 | % 34.84/10.34 |-The branch is then unsatisfiable % 34.84/10.34 |-Branch two: % 34.84/10.34 | (844) ~ (all_0_40_40 = e4) % 34.84/10.34 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (845), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (609) all_0_48_48 = e4 % 34.84/10.34 | % 34.84/10.34 | Combining equations (748,609) yields a new equation: % 34.84/10.34 | (541) e4 = e1 % 34.84/10.34 | % 34.84/10.34 | Equations (541) can reduce 247 to: % 34.84/10.34 | (303) $false % 34.84/10.34 | % 34.84/10.34 |-The branch is then unsatisfiable % 34.84/10.34 |-Branch two: % 34.84/10.34 | (721) ~ (all_0_48_48 = e4) % 34.84/10.34 | (871) all_0_52_52 = e4 | all_0_56_56 = e4 % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (871), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (442) all_0_52_52 = e4 % 34.84/10.34 | % 34.84/10.34 | Combining equations (980,442) yields a new equation: % 34.84/10.34 | (470) e4 = e2 % 34.84/10.34 | % 34.84/10.34 | Equations (470) can reduce 231 to: % 34.84/10.34 | (303) $false % 34.84/10.34 | % 34.84/10.34 |-The branch is then unsatisfiable % 34.84/10.34 |-Branch two: % 34.84/10.34 | (445) ~ (all_0_52_52 = e4) % 34.84/10.34 | (877) all_0_56_56 = e4 % 34.84/10.34 | % 34.84/10.34 | Equations (877) can reduce 174 to: % 34.84/10.34 | (349) ~ (all_0_60_60 = e4) % 34.84/10.34 | % 34.84/10.34 | Simplifying 349 yields: % 34.84/10.34 | (350) ~ (all_0_60_60 = e4) % 34.84/10.34 | % 34.84/10.34 | Equations (877) can reduce 594 to: % 34.84/10.34 | (231) ~ (e4 = e2) % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (241), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (1096) all_0_44_44 = e4 % 34.84/10.34 | % 34.84/10.34 | Equations (1096) can reduce 512 to: % 34.84/10.34 | (247) ~ (e4 = e1) % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (245), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (583) all_0_56_56 = e1 % 34.84/10.34 | % 34.84/10.34 | Combining equations (877,583) yields a new equation: % 34.84/10.34 | (540) e4 = e1 % 34.84/10.34 | % 34.84/10.34 | Simplifying 540 yields: % 34.84/10.34 | (541) e4 = e1 % 34.84/10.34 | % 34.84/10.34 | Equations (541) can reduce 247 to: % 34.84/10.34 | (303) $false % 34.84/10.34 | % 34.84/10.34 |-The branch is then unsatisfiable % 34.84/10.34 |-Branch two: % 34.84/10.34 | (587) ~ (all_0_56_56 = e1) % 34.84/10.34 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (2154), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (1580) all_0_49_49 = e1 % 34.84/10.34 | % 34.84/10.34 | Combining equations (384,1580) yields a new equation: % 34.84/10.34 | (590) e1 = e0 % 34.84/10.34 | % 34.84/10.34 | Equations (590) can reduce 134 to: % 34.84/10.34 | (303) $false % 34.84/10.34 | % 34.84/10.34 |-The branch is then unsatisfiable % 34.84/10.34 |-Branch two: % 34.84/10.34 | (506) ~ (all_0_49_49 = e1) % 34.84/10.34 | (2676) all_0_53_53 = e1 | all_0_57_57 = e1 % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (588), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (589) all_0_57_57 = e1 % 34.84/10.34 | % 34.84/10.34 | Combining equations (589,897) yields a new equation: % 34.84/10.34 | (585) e2 = e1 % 34.84/10.34 | % 34.84/10.34 | Equations (585) can reduce 144 to: % 34.84/10.34 | (303) $false % 34.84/10.34 | % 34.84/10.34 |-The branch is then unsatisfiable % 34.84/10.34 |-Branch two: % 34.84/10.34 | (592) ~ (all_0_57_57 = e1) % 34.84/10.34 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 34.84/10.34 | % 34.84/10.34 | Equations (897) can reduce 592 to: % 34.84/10.34 | (144) ~ (e2 = e1) % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (2676), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (462) all_0_53_53 = e1 % 34.84/10.34 | % 34.84/10.34 | Equations (462) can reduce 121 to: % 34.84/10.34 | (699) ~ (all_0_41_41 = e1) % 34.84/10.34 | % 34.84/10.34 | Equations (462) can reduce 131 to: % 34.84/10.34 | (463) ~ (all_0_55_55 = e1) % 34.84/10.34 | % 34.84/10.34 | Simplifying 463 yields: % 34.84/10.34 | (464) ~ (all_0_55_55 = e1) % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (237), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (431) all_0_41_41 = e3 % 34.84/10.34 | % 34.84/10.34 | Equations (431) can reduce 369 to: % 34.84/10.34 | (223) ~ (e3 = e2) % 34.84/10.34 | % 34.84/10.34 | Equations (431) can reduce 699 to: % 34.84/10.34 | (136) ~ (e3 = e1) % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (64), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (425) all_0_52_52 = e3 % 34.84/10.34 | % 34.84/10.34 | Combining equations (980,425) yields a new equation: % 34.84/10.34 | (453) e3 = e2 % 34.84/10.34 | % 34.84/10.34 | Equations (453) can reduce 223 to: % 34.84/10.34 | (303) $false % 34.84/10.34 | % 34.84/10.34 |-The branch is then unsatisfiable % 34.84/10.34 |-Branch two: % 34.84/10.34 | (521) ~ (all_0_52_52 = e3) % 34.84/10.34 | (1006) all_0_53_53 = e3 | all_0_55_55 = e3 % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (56), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (480), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (481), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (482), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 34.84/10.34 | % 34.84/10.34 | Applying alpha-rule on (483) yields: % 34.84/10.34 | (484) ~ (unit = e4) % 34.84/10.34 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 34.84/10.34 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 34.84/10.34 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 34.84/10.34 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 34.84/10.34 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 34.84/10.34 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 34.84/10.34 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 34.84/10.34 | (492) ~ (all_0_55_55 = e4) % 34.84/10.34 | (493) all_0_45_45 = e3 % 34.84/10.34 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 34.84/10.34 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (1006), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (994) all_0_53_53 = e3 % 34.84/10.34 | % 34.84/10.34 | Combining equations (462,994) yields a new equation: % 34.84/10.34 | (601) e3 = e1 % 34.84/10.34 | % 34.84/10.34 | Equations (601) can reduce 136 to: % 34.84/10.34 | (303) $false % 34.84/10.34 | % 34.84/10.34 |-The branch is then unsatisfiable % 34.84/10.34 |-Branch two: % 34.84/10.34 | (428) ~ (all_0_53_53 = e3) % 34.84/10.34 | (2165) all_0_55_55 = e3 % 34.84/10.34 | % 34.84/10.34 | Equations (2165) can reduce 464 to: % 34.84/10.34 | (136) ~ (e3 = e1) % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (593), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (600) all_0_59_59 = e1 % 34.84/10.34 | % 34.84/10.34 | Combining equations (456,600) yields a new equation: % 34.84/10.34 | (680) e3 = e1 % 34.84/10.34 | % 34.84/10.34 | Simplifying 680 yields: % 34.84/10.34 | (601) e3 = e1 % 34.84/10.34 | % 34.84/10.34 | Equations (601) can reduce 136 to: % 34.84/10.34 | (303) $false % 34.84/10.34 | % 34.84/10.34 |-The branch is then unsatisfiable % 34.84/10.34 |-Branch two: % 34.84/10.34 | (603) ~ (all_0_59_59 = e1) % 34.84/10.34 | (604) all_0_60_60 = e1 % 34.84/10.34 | % 34.84/10.34 | Equations (604) can reduce 414 to: % 34.84/10.34 | (134) ~ (e1 = e0) % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (62), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (631) unit = e2 % 34.84/10.34 | % 34.84/10.34 | From (631) and (189) follows: % 34.84/10.34 | (397) op(e2, e0) = e0 % 34.84/10.34 | % 34.84/10.34 | From (631) and (98) follows: % 34.84/10.34 | (5015) op(e3, e2) = e3 % 34.84/10.34 | % 34.84/10.34 | From (631) and (74) follows: % 34.84/10.34 | (2715) op(e2, e2) = e2 % 34.84/10.34 | % 34.84/10.34 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 34.84/10.34 | (601) e3 = e1 % 34.84/10.34 | % 34.84/10.34 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 34.84/10.34 | (453) e3 = e2 % 34.84/10.34 | % 34.84/10.34 | Instantiating formula (29) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 34.84/10.34 | (385) e2 = e0 % 34.84/10.34 | % 34.84/10.34 | Combining equations (453,601) yields a new equation: % 34.84/10.34 | (584) e2 = e1 % 34.84/10.34 | % 34.84/10.34 | Simplifying 584 yields: % 34.84/10.34 | (585) e2 = e1 % 34.84/10.34 | % 34.84/10.34 | Combining equations (585,385) yields a new equation: % 34.84/10.34 | (670) e1 = e0 % 34.84/10.34 | % 34.84/10.34 | Simplifying 670 yields: % 34.84/10.34 | (590) e1 = e0 % 34.84/10.34 | % 34.84/10.34 | Equations (590) can reduce 134 to: % 34.84/10.34 | (303) $false % 34.84/10.34 | % 34.84/10.34 |-The branch is then unsatisfiable % 34.84/10.34 |-Branch two: % 34.84/10.34 | (599) ~ (unit = e2) % 34.84/10.34 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (634), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (635) unit = e4 % 34.84/10.34 | % 34.84/10.34 | Equations (635) can reduce 484 to: % 34.84/10.34 | (303) $false % 34.84/10.34 | % 34.84/10.34 |-The branch is then unsatisfiable % 34.84/10.34 |-Branch two: % 34.84/10.34 | (484) ~ (unit = e4) % 34.84/10.34 | (647) unit = e3 | unit = e1 | unit = e0 % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (647), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (648) unit = e1 % 34.84/10.34 | % 34.84/10.34 | From (648) and (147) follows: % 34.84/10.34 | (282) op(e1, e2) = e2 % 34.84/10.34 | % 34.84/10.34 | From (648) and (130) follows: % 34.84/10.34 | (617) op(e4, e1) = e4 % 34.84/10.34 | % 34.84/10.34 | From (648) and (98) follows: % 34.84/10.34 | (1862) op(e3, e1) = e3 % 34.84/10.34 | % 34.84/10.34 | From (648) and (111) follows: % 34.84/10.34 | (770) op(e0, e1) = e0 % 34.84/10.34 | % 34.84/10.34 | Instantiating formula (29) with e4, e1, e4, e1 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e1, yields: % 34.84/10.34 | (541) e4 = e1 % 34.84/10.34 | % 34.84/10.34 | Instantiating formula (29) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields: % 34.84/10.34 | (453) e3 = e2 % 34.84/10.34 | % 34.84/10.34 | Instantiating formula (29) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields: % 34.84/10.34 | (470) e4 = e2 % 34.84/10.34 | % 34.84/10.34 | Instantiating formula (29) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields: % 34.84/10.34 | (497) e3 = e0 % 34.84/10.34 | % 34.84/10.34 | Combining equations (470,541) yields a new equation: % 34.84/10.34 | (584) e2 = e1 % 34.84/10.34 | % 34.84/10.34 | Simplifying 584 yields: % 34.84/10.34 | (585) e2 = e1 % 34.84/10.34 | % 34.84/10.34 | Combining equations (453,497) yields a new equation: % 34.84/10.34 | (403) e2 = e0 % 34.84/10.34 | % 34.84/10.34 | Simplifying 403 yields: % 34.84/10.34 | (385) e2 = e0 % 34.84/10.34 | % 34.84/10.34 | Combining equations (385,585) yields a new equation: % 34.84/10.34 | (590) e1 = e0 % 34.84/10.34 | % 34.84/10.34 | Equations (590) can reduce 134 to: % 34.84/10.34 | (303) $false % 34.84/10.34 | % 34.84/10.34 |-The branch is then unsatisfiable % 34.84/10.34 |-Branch two: % 34.84/10.34 | (510) ~ (unit = e1) % 34.84/10.34 | (659) unit = e3 | unit = e0 % 34.84/10.34 | % 34.84/10.34 +-Applying beta-rule and splitting (659), into two cases. % 34.84/10.34 |-Branch one: % 34.84/10.34 | (660) unit = e0 % 34.84/10.34 | % 34.84/10.34 | Equations (660) can reduce 510 to: % 34.84/10.34 | (661) ~ (e1 = e0) % 34.84/10.34 | % 34.84/10.34 | Simplifying 661 yields: % 34.84/10.34 | (134) ~ (e1 = e0) % 34.84/10.34 | % 34.84/10.34 | From (660) and (232) follows: % 34.84/10.34 | (1196) op(e0, e3) = e3 % 34.84/10.34 | % 34.84/10.34 | From (660) and (147) follows: % 34.84/10.34 | (663) op(e0, e2) = e2 % 34.84/10.34 | % 34.84/10.34 | From (660) and (38) follows: % 34.84/10.34 | (2749) op(e0, e1) = e1 % 34.84/10.34 | % 34.84/10.34 | Instantiating formula (29) with e0, e3, e3, e2 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e2, yields: % 34.84/10.35 | (453) e3 = e2 % 34.84/10.35 | % 34.84/10.35 | Instantiating formula (29) with e0, e2, e2, e0 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 34.84/10.35 | (385) e2 = e0 % 34.84/10.35 | % 34.84/10.35 | Instantiating formula (29) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields: % 34.84/10.35 | (601) e3 = e1 % 34.84/10.35 | % 34.84/10.35 | Combining equations (453,601) yields a new equation: % 34.84/10.35 | (584) e2 = e1 % 34.84/10.35 | % 34.84/10.35 | Simplifying 584 yields: % 34.84/10.35 | (585) e2 = e1 % 34.84/10.35 | % 34.84/10.35 | Combining equations (585,385) yields a new equation: % 34.84/10.35 | (670) e1 = e0 % 34.84/10.35 | % 34.84/10.35 | Simplifying 670 yields: % 34.84/10.35 | (590) e1 = e0 % 34.84/10.35 | % 34.84/10.35 | Equations (590) can reduce 134 to: % 34.84/10.35 | (303) $false % 34.84/10.35 | % 34.84/10.35 |-The branch is then unsatisfiable % 34.84/10.35 |-Branch two: % 34.84/10.35 | (537) ~ (unit = e0) % 34.84/10.35 | (674) unit = e3 % 34.84/10.35 | % 34.84/10.35 | From (674) and (38) follows: % 34.84/10.35 | (675) op(e3, e1) = e1 % 34.84/10.35 | % 34.84/10.35 | From (674) and (111) follows: % 34.84/10.35 | (420) op(e0, e3) = e0 % 34.84/10.35 | % 34.84/10.35 | Instantiating formula (29) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 34.84/10.35 | (585) e2 = e1 % 34.84/10.35 | % 34.84/10.35 | Instantiating formula (29) with e0, e3, e0, e2 and discharging atoms op(e0, e3) = e2, op(e0, e3) = e0, yields: % 34.84/10.35 | (385) e2 = e0 % 34.84/10.35 | % 34.84/10.35 | Combining equations (385,585) yields a new equation: % 34.84/10.35 | (590) e1 = e0 % 34.84/10.35 | % 34.84/10.35 | Equations (590) can reduce 134 to: % 34.84/10.35 | (303) $false % 34.84/10.35 | % 34.84/10.35 |-The branch is then unsatisfiable % 34.84/10.35 |-Branch two: % 34.84/10.35 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 34.84/10.35 | % 34.84/10.35 | Applying alpha-rule on (499) yields: % 34.84/10.35 | (500) ~ (all_0_51_51 = e1) % 34.84/10.35 | (501) ~ (all_0_60_60 = e1) % 34.84/10.35 | (502) ~ (all_0_52_52 = e1) % 34.84/10.35 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 34.84/10.35 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 34.84/10.35 | (252) all_0_46_46 = e2 % 34.84/10.35 | (506) ~ (all_0_49_49 = e1) % 34.84/10.35 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 34.84/10.35 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 34.84/10.35 | (509) ~ (all_0_53_53 = e1) % 34.84/10.35 | (510) ~ (unit = e1) % 34.84/10.35 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 34.84/10.35 | (512) ~ (all_0_44_44 = e1) % 34.84/10.35 | % 34.84/10.35 | Equations (462) can reduce 509 to: % 34.84/10.35 | (303) $false % 34.84/10.35 | % 34.84/10.35 |-The branch is then unsatisfiable % 34.84/10.35 |-Branch two: % 34.84/10.35 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 34.84/10.35 | % 34.84/10.35 | Applying alpha-rule on (514) yields: % 34.84/10.35 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 34.84/10.35 | (516) ~ (all_0_47_47 = e3) % 34.84/10.35 | (314) ~ (all_0_55_55 = e3) % 34.84/10.35 | (368) all_0_49_49 = e2 % 34.84/10.35 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 34.84/10.35 | (520) ~ (unit = e3) % 34.84/10.35 | (521) ~ (all_0_52_52 = e3) % 34.84/10.35 | (455) ~ (all_0_46_46 = e3) % 34.84/10.35 | (432) ~ (all_0_40_40 = e3) % 34.84/10.35 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 34.84/10.35 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 34.84/10.35 | (526) ~ (all_0_56_56 = e3) % 34.84/10.35 | % 34.84/10.35 | Combining equations (384,368) yields a new equation: % 34.84/10.35 | (385) e2 = e0 % 34.84/10.35 | % 34.84/10.35 | Equations (385) can reduce 51 to: % 34.84/10.35 | (303) $false % 34.84/10.35 | % 34.84/10.35 |-The branch is then unsatisfiable % 34.84/10.35 |-Branch two: % 34.84/10.35 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 34.84/10.35 | % 34.84/10.35 | Applying alpha-rule on (528) yields: % 34.84/10.35 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 34.84/10.35 | (530) all_0_55_55 = e1 % 34.84/10.35 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 34.84/10.35 | (387) ~ (all_0_49_49 = e0) % 34.84/10.35 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 34.84/10.35 | (534) ~ (all_0_45_45 = e0) % 34.84/10.35 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 34.84/10.35 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 34.84/10.35 | (537) ~ (unit = e0) % 34.84/10.35 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 34.84/10.35 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 34.84/10.35 | % 34.84/10.35 | Equations (530) can reduce 464 to: % 34.84/10.35 | (303) $false % 34.84/10.35 | % 34.84/10.35 |-The branch is then unsatisfiable % 34.84/10.35 |-Branch two: % 34.84/10.35 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 34.84/10.35 | % 34.84/10.35 | Applying alpha-rule on (543) yields: % 34.84/10.35 | (544) ~ (all_0_48_48 = e2) % 34.84/10.35 | (369) ~ (all_0_41_41 = e2) % 34.84/10.35 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 34.84/10.35 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 34.84/10.35 | (253) ~ (all_0_43_43 = e2) % 34.84/10.37 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 34.84/10.37 | (276) ~ (all_0_55_55 = e2) % 34.84/10.37 | (260) ~ (all_0_59_59 = e2) % 34.84/10.37 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 34.84/10.37 | (274) ~ (all_0_53_53 = e2) % 34.84/10.37 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 34.84/10.37 | (373) ~ (all_0_51_51 = e2) % 34.84/10.37 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 34.84/10.37 | (256) ~ (all_0_47_47 = e2) % 34.84/10.37 | (377) ~ (all_0_57_57 = e2) % 34.84/10.37 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 34.84/10.37 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 34.84/10.37 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 34.84/10.37 | (258) ~ (all_0_50_50 = e2) % 34.84/10.37 | (254) ~ (all_0_45_45 = e2) % 34.84/10.37 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 34.84/10.37 | % 34.84/10.37 | Equations (897) can reduce 377 to: % 34.84/10.37 | (303) $false % 34.84/10.37 | % 34.84/10.37 |-The branch is then unsatisfiable % 34.84/10.37 |-Branch two: % 34.84/10.37 | (996) ~ (all_0_41_41 = e3) % 34.84/10.37 | (997) all_0_53_53 = e3 | all_0_57_57 = e3 % 34.84/10.37 | % 34.84/10.37 +-Applying beta-rule and splitting (64), into two cases. % 34.84/10.37 |-Branch one: % 34.84/10.37 | (425) all_0_52_52 = e3 % 34.84/10.37 | % 34.84/10.37 | Combining equations (980,425) yields a new equation: % 34.84/10.37 | (453) e3 = e2 % 34.84/10.37 | % 34.84/10.37 | Equations (453) can reduce 223 to: % 34.84/10.37 | (303) $false % 34.84/10.37 | % 34.84/10.37 |-The branch is then unsatisfiable % 34.84/10.37 |-Branch two: % 34.84/10.37 | (521) ~ (all_0_52_52 = e3) % 34.84/10.37 | (1006) all_0_53_53 = e3 | all_0_55_55 = e3 % 34.84/10.37 | % 34.84/10.37 +-Applying beta-rule and splitting (153), into two cases. % 34.84/10.37 |-Branch one: % 34.84/10.37 | (932) all_0_55_55 = e2 % 34.84/10.37 | % 34.84/10.37 | Equations (932) can reduce 276 to: % 34.84/10.37 | (303) $false % 34.84/10.37 | % 34.84/10.37 |-The branch is then unsatisfiable % 34.84/10.37 |-Branch two: % 34.84/10.37 | (276) ~ (all_0_55_55 = e2) % 34.84/10.37 | (1809) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 % 34.84/10.37 | % 34.84/10.37 +-Applying beta-rule and splitting (593), into two cases. % 34.84/10.37 |-Branch one: % 34.84/10.37 | (600) all_0_59_59 = e1 % 34.84/10.37 | % 34.84/10.37 | Combining equations (600,456) yields a new equation: % 34.84/10.37 | (601) e3 = e1 % 34.84/10.37 | % 34.84/10.37 | Equations (601) can reduce 136 to: % 34.84/10.37 | (303) $false % 34.84/10.37 | % 34.84/10.37 |-The branch is then unsatisfiable % 34.84/10.37 |-Branch two: % 34.84/10.37 | (603) ~ (all_0_59_59 = e1) % 34.84/10.37 | (604) all_0_60_60 = e1 % 34.84/10.37 | % 34.84/10.37 | Equations (604) can reduce 159 to: % 34.84/10.37 | (464) ~ (all_0_55_55 = e1) % 34.84/10.37 | % 34.84/10.37 | Equations (604) can reduce 316 to: % 34.84/10.37 | (465) ~ (e3 = e1) % 34.84/10.37 | % 34.84/10.37 | Simplifying 465 yields: % 34.84/10.37 | (136) ~ (e3 = e1) % 34.84/10.37 | % 34.84/10.37 +-Applying beta-rule and splitting (1006), into two cases. % 34.84/10.37 |-Branch one: % 34.84/10.38 | (994) all_0_53_53 = e3 % 34.84/10.38 | % 34.84/10.38 | Combining equations (462,994) yields a new equation: % 34.84/10.38 | (601) e3 = e1 % 34.84/10.38 | % 34.84/10.38 | Equations (601) can reduce 136 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (428) ~ (all_0_53_53 = e3) % 34.84/10.38 | (2165) all_0_55_55 = e3 % 34.84/10.38 | % 34.84/10.38 | Equations (2165) can reduce 276 to: % 34.84/10.38 | (223) ~ (e3 = e2) % 34.84/10.38 | % 34.84/10.38 | Equations (2165) can reduce 464 to: % 34.84/10.38 | (136) ~ (e3 = e1) % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (997), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (994) all_0_53_53 = e3 % 34.84/10.38 | % 34.84/10.38 | Combining equations (462,994) yields a new equation: % 34.84/10.38 | (601) e3 = e1 % 34.84/10.38 | % 34.84/10.38 | Equations (601) can reduce 136 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (428) ~ (all_0_53_53 = e3) % 34.84/10.38 | (1001) all_0_57_57 = e3 % 34.84/10.38 | % 34.84/10.38 | Combining equations (897,1001) yields a new equation: % 34.84/10.38 | (453) e3 = e2 % 34.84/10.38 | % 34.84/10.38 | Equations (453) can reduce 223 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (509) ~ (all_0_53_53 = e1) % 34.84/10.38 | (589) all_0_57_57 = e1 % 34.84/10.38 | % 34.84/10.38 | Combining equations (589,897) yields a new equation: % 34.84/10.38 | (585) e2 = e1 % 34.84/10.38 | % 34.84/10.38 | Equations (585) can reduce 144 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (474) ~ (all_0_44_44 = e4) % 34.84/10.38 | (1500) all_0_51_51 = e4 | all_0_55_55 = e4 | all_0_60_60 = e4 % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (1500), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (1501) all_0_51_51 = e4 % 34.84/10.38 | % 34.84/10.38 | Combining equations (927,1501) yields a new equation: % 34.84/10.38 | (470) e4 = e2 % 34.84/10.38 | % 34.84/10.38 | Equations (470) can reduce 231 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (1504) ~ (all_0_51_51 = e4) % 34.84/10.38 | (1505) all_0_55_55 = e4 | all_0_60_60 = e4 % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (1505), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (473) all_0_55_55 = e4 % 34.84/10.38 | % 34.84/10.38 | Equations (473) can reduce 492 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (492) ~ (all_0_55_55 = e4) % 34.84/10.38 | (1510) all_0_60_60 = e4 % 34.84/10.38 | % 34.84/10.38 | Equations (1510) can reduce 350 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (802) ~ (all_0_48_48 = e1) % 34.84/10.38 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (2154), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (1580) all_0_49_49 = e1 % 34.84/10.38 | % 34.84/10.38 | Combining equations (384,1580) yields a new equation: % 34.84/10.38 | (590) e1 = e0 % 34.84/10.38 | % 34.84/10.38 | Equations (590) can reduce 134 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (506) ~ (all_0_49_49 = e1) % 34.84/10.38 | (2676) all_0_53_53 = e1 | all_0_57_57 = e1 % 34.84/10.38 | % 34.84/10.38 | Equations (384) can reduce 506 to: % 34.84/10.38 | (661) ~ (e1 = e0) % 34.84/10.38 | % 34.84/10.38 | Simplifying 661 yields: % 34.84/10.38 | (134) ~ (e1 = e0) % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (175), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (624) all_0_40_40 = e1 % 34.84/10.38 | % 34.84/10.38 | Combining equations (624,2834) yields a new equation: % 34.84/10.38 | (670) e1 = e0 % 34.84/10.38 | % 34.84/10.38 | Simplifying 670 yields: % 34.84/10.38 | (590) e1 = e0 % 34.84/10.38 | % 34.84/10.38 | Equations (590) can reduce 134 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (683) ~ (all_0_40_40 = e1) % 34.84/10.38 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 34.84/10.38 | % 34.84/10.38 | Equations (2834) can reduce 683 to: % 34.84/10.38 | (661) ~ (e1 = e0) % 34.84/10.38 | % 34.84/10.38 | Simplifying 661 yields: % 34.84/10.38 | (134) ~ (e1 = e0) % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (803), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (1580) all_0_49_49 = e1 % 34.84/10.38 | % 34.84/10.38 | Combining equations (384,1580) yields a new equation: % 34.84/10.38 | (590) e1 = e0 % 34.84/10.38 | % 34.84/10.38 | Equations (590) can reduce 134 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (506) ~ (all_0_49_49 = e1) % 34.84/10.38 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (1585), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (627) all_0_50_50 = e1 % 34.84/10.38 | % 34.84/10.38 | Combining equations (714,627) yields a new equation: % 34.84/10.38 | (540) e4 = e1 % 34.84/10.38 | % 34.84/10.38 | Simplifying 540 yields: % 34.84/10.38 | (541) e4 = e1 % 34.84/10.38 | % 34.84/10.38 | Equations (541) can reduce 247 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (678) ~ (all_0_50_50 = e1) % 34.84/10.38 | (1590) all_0_51_51 = e1 % 34.84/10.38 | % 34.84/10.38 | Combining equations (927,1590) yields a new equation: % 34.84/10.38 | (584) e2 = e1 % 34.84/10.38 | % 34.84/10.38 | Simplifying 584 yields: % 34.84/10.38 | (585) e2 = e1 % 34.84/10.38 | % 34.84/10.38 | Equations (585) can reduce 144 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (611) ~ (all_0_50_50 = e4) % 34.84/10.38 | (717) all_0_59_59 = e4 % 34.84/10.38 | % 34.84/10.38 | Combining equations (717,456) yields a new equation: % 34.84/10.38 | (718) e4 = e3 % 34.84/10.38 | % 34.84/10.38 | Simplifying 718 yields: % 34.84/10.38 | (443) e4 = e3 % 34.84/10.38 | % 34.84/10.38 | Equations (443) can reduce 30 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (622) ~ (all_0_43_43 = e1) % 34.84/10.38 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (623), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (627) all_0_50_50 = e1 % 34.84/10.38 | % 34.84/10.38 | Equations (627) can reduce 238 to: % 34.84/10.38 | (622) ~ (all_0_43_43 = e1) % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (139), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (614) all_0_43_43 = e4 % 34.84/10.38 | % 34.84/10.38 | Equations (614) can reduce 82 to: % 34.84/10.38 | (1736) ~ (all_0_44_44 = e4) % 34.84/10.38 | % 34.84/10.38 | Simplifying 1736 yields: % 34.84/10.38 | (474) ~ (all_0_44_44 = e4) % 34.84/10.38 | % 34.84/10.38 | Equations (614) can reduce 253 to: % 34.84/10.38 | (231) ~ (e4 = e2) % 34.84/10.38 | % 34.84/10.38 | Equations (614) can reduce 622 to: % 34.84/10.38 | (247) ~ (e4 = e1) % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (234), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (609) all_0_48_48 = e4 % 34.84/10.38 | % 34.84/10.38 | Equations (609) can reduce 2 to: % 34.84/10.38 | (2280) ~ (all_0_56_56 = e4) % 34.84/10.38 | % 34.84/10.38 | Simplifying 2280 yields: % 34.84/10.38 | (345) ~ (all_0_56_56 = e4) % 34.84/10.38 | % 34.84/10.38 | Equations (609) can reduce 34 to: % 34.84/10.38 | (30) ~ (e4 = e3) % 34.84/10.38 | % 34.84/10.38 | Equations (609) can reduce 544 to: % 34.84/10.38 | (231) ~ (e4 = e2) % 34.84/10.38 | % 34.84/10.38 | Equations (609) can reduce 292 to: % 34.84/10.38 | (4) ~ (e4 = e0) % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (243), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (877) all_0_56_56 = e4 % 34.84/10.38 | % 34.84/10.38 | Equations (877) can reduce 345 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (345) ~ (all_0_56_56 = e4) % 34.84/10.38 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (241), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (1096) all_0_44_44 = e4 % 34.84/10.38 | % 34.84/10.38 | Equations (1096) can reduce 474 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (474) ~ (all_0_44_44 = e4) % 34.84/10.38 | (1500) all_0_51_51 = e4 | all_0_55_55 = e4 | all_0_60_60 = e4 % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (1500), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (1501) all_0_51_51 = e4 % 34.84/10.38 | % 34.84/10.38 | Combining equations (927,1501) yields a new equation: % 34.84/10.38 | (470) e4 = e2 % 34.84/10.38 | % 34.84/10.38 | Equations (470) can reduce 231 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (1504) ~ (all_0_51_51 = e4) % 34.84/10.38 | (1505) all_0_55_55 = e4 | all_0_60_60 = e4 % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (56), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (480), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (481), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (482), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 34.84/10.38 | % 34.84/10.38 | Applying alpha-rule on (483) yields: % 34.84/10.38 | (484) ~ (unit = e4) % 34.84/10.38 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 34.84/10.38 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 34.84/10.38 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 34.84/10.38 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 34.84/10.38 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 34.84/10.38 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 34.84/10.38 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 34.84/10.38 | (492) ~ (all_0_55_55 = e4) % 34.84/10.38 | (493) all_0_45_45 = e3 % 34.84/10.38 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 34.84/10.38 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (487), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (350) ~ (all_0_60_60 = e4) % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (1505), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (473) all_0_55_55 = e4 % 34.84/10.38 | % 34.84/10.38 | Equations (473) can reduce 492 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (492) ~ (all_0_55_55 = e4) % 34.84/10.38 | (1510) all_0_60_60 = e4 % 34.84/10.38 | % 34.84/10.38 | Equations (1510) can reduce 350 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (1510) all_0_60_60 = e4 % 34.84/10.38 | (2307) all_0_56_56 = e0 % 34.84/10.38 | % 34.84/10.38 | Equations (2307) can reduce 296 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 34.84/10.38 | % 34.84/10.38 | Applying alpha-rule on (499) yields: % 34.84/10.38 | (500) ~ (all_0_51_51 = e1) % 34.84/10.38 | (501) ~ (all_0_60_60 = e1) % 34.84/10.38 | (502) ~ (all_0_52_52 = e1) % 34.84/10.38 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 34.84/10.38 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 34.84/10.38 | (252) all_0_46_46 = e2 % 34.84/10.38 | (506) ~ (all_0_49_49 = e1) % 34.84/10.38 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 34.84/10.38 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 34.84/10.38 | (509) ~ (all_0_53_53 = e1) % 34.84/10.38 | (510) ~ (unit = e1) % 34.84/10.38 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 34.84/10.38 | (512) ~ (all_0_44_44 = e1) % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (511), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (587) ~ (all_0_56_56 = e1) % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (87), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (572) all_0_44_44 = e2 % 34.84/10.38 | % 34.84/10.38 | Equations (572) can reduce 915 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (915) ~ (all_0_44_44 = e2) % 34.84/10.38 | (2069) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (4489), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (344) all_0_58_58 = e4 % 34.84/10.38 | % 34.84/10.38 | Combining equations (989,344) yields a new equation: % 34.84/10.38 | (654) e4 = e0 % 34.84/10.38 | % 34.84/10.38 | Equations (654) can reduce 4 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (3161) ~ (all_0_58_58 = e4) % 34.84/10.38 | (4996) all_0_59_59 = e4 | all_0_60_60 = e4 % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (4996), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (717) all_0_59_59 = e4 % 34.84/10.38 | % 34.84/10.38 | Combining equations (717,456) yields a new equation: % 34.84/10.38 | (718) e4 = e3 % 34.84/10.38 | % 34.84/10.38 | Simplifying 718 yields: % 34.84/10.38 | (443) e4 = e3 % 34.84/10.38 | % 34.84/10.38 | Equations (443) can reduce 30 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (348) ~ (all_0_59_59 = e4) % 34.84/10.38 | (1510) all_0_60_60 = e4 % 34.84/10.38 | % 34.84/10.38 | Equations (1510) can reduce 165 to: % 34.84/10.38 | (474) ~ (all_0_44_44 = e4) % 34.84/10.38 | % 34.84/10.38 | Equations (1510) can reduce 159 to: % 34.84/10.38 | (492) ~ (all_0_55_55 = e4) % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (2069), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (1096) all_0_44_44 = e4 % 34.84/10.38 | % 34.84/10.38 | Equations (1096) can reduce 474 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (474) ~ (all_0_44_44 = e4) % 34.84/10.38 | (2073) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (1073), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (462) all_0_53_53 = e1 % 34.84/10.38 | % 34.84/10.38 | Equations (462) can reduce 509 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (509) ~ (all_0_53_53 = e1) % 34.84/10.38 | (530) all_0_55_55 = e1 % 34.84/10.38 | % 34.84/10.38 | Equations (530) can reduce 59 to: % 34.84/10.38 | (512) ~ (all_0_44_44 = e1) % 34.84/10.38 | % 34.84/10.38 | Equations (530) can reduce 131 to: % 34.84/10.38 | (509) ~ (all_0_53_53 = e1) % 34.84/10.38 | % 34.84/10.38 | Equations (530) can reduce 492 to: % 34.84/10.38 | (605) ~ (e4 = e1) % 34.84/10.38 | % 34.84/10.38 | Simplifying 605 yields: % 34.84/10.38 | (247) ~ (e4 = e1) % 34.84/10.38 | % 34.84/10.38 | Equations (530) can reduce 276 to: % 34.84/10.38 | (565) ~ (e2 = e1) % 34.84/10.38 | % 34.84/10.38 | Simplifying 565 yields: % 34.84/10.38 | (144) ~ (e2 = e1) % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (245), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (583) all_0_56_56 = e1 % 34.84/10.38 | % 34.84/10.38 | Equations (583) can reduce 587 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (587) ~ (all_0_56_56 = e1) % 34.84/10.38 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (195), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (2081) all_0_44_44 = e3 % 34.84/10.38 | % 34.84/10.38 | Equations (2081) can reduce 176 to: % 34.84/10.38 | (996) ~ (all_0_41_41 = e3) % 34.84/10.38 | % 34.84/10.38 | Equations (2081) can reduce 915 to: % 34.84/10.38 | (223) ~ (e3 = e2) % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (237), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (431) all_0_41_41 = e3 % 34.84/10.38 | % 34.84/10.38 | Equations (431) can reduce 996 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (996) ~ (all_0_41_41 = e3) % 34.84/10.38 | (997) all_0_53_53 = e3 | all_0_57_57 = e3 % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (588), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (589) all_0_57_57 = e1 % 34.84/10.38 | % 34.84/10.38 | Combining equations (589,897) yields a new equation: % 34.84/10.38 | (585) e2 = e1 % 34.84/10.38 | % 34.84/10.38 | Equations (585) can reduce 144 to: % 34.84/10.38 | (303) $false % 34.84/10.38 | % 34.84/10.38 |-The branch is then unsatisfiable % 34.84/10.38 |-Branch two: % 34.84/10.38 | (592) ~ (all_0_57_57 = e1) % 34.84/10.38 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (997), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (994) all_0_53_53 = e3 % 34.84/10.38 | % 34.84/10.38 | Equations (994) can reduce 509 to: % 34.84/10.38 | (136) ~ (e3 = e1) % 34.84/10.38 | % 34.84/10.38 +-Applying beta-rule and splitting (593), into two cases. % 34.84/10.38 |-Branch one: % 34.84/10.38 | (600) all_0_59_59 = e1 % 34.84/10.38 | % 34.84/10.38 | Combining equations (456,600) yields a new equation: % 34.84/10.38 | (680) e3 = e1 % 34.84/10.38 | % 34.84/10.38 | Simplifying 680 yields: % 34.84/10.38 | (601) e3 = e1 % 34.84/10.39 | % 34.84/10.39 | Equations (601) can reduce 136 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (603) ~ (all_0_59_59 = e1) % 34.84/10.39 | (604) all_0_60_60 = e1 % 34.84/10.39 | % 34.84/10.39 | Combining equations (604,1510) yields a new equation: % 34.84/10.39 | (541) e4 = e1 % 34.84/10.39 | % 34.84/10.39 | Equations (541) can reduce 247 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (428) ~ (all_0_53_53 = e3) % 34.84/10.39 | (1001) all_0_57_57 = e3 % 34.84/10.39 | % 34.84/10.39 | Combining equations (1001,897) yields a new equation: % 34.84/10.39 | (452) e3 = e2 % 34.84/10.39 | % 34.84/10.39 | Simplifying 452 yields: % 34.84/10.39 | (453) e3 = e2 % 34.84/10.39 | % 34.84/10.39 | Equations (453) can reduce 223 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (310) ~ (all_0_44_44 = e3) % 34.84/10.39 | (7006) all_0_47_47 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 34.84/10.39 | % 34.84/10.39 +-Applying beta-rule and splitting (2073), into two cases. % 34.84/10.39 |-Branch one: % 34.84/10.39 | (705) all_0_44_44 = e1 % 34.84/10.39 | % 34.84/10.39 | Equations (705) can reduce 512 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (512) ~ (all_0_44_44 = e1) % 34.84/10.39 | (2077) all_0_44_44 = e3 | all_0_44_44 = e0 % 34.84/10.39 | % 34.84/10.39 +-Applying beta-rule and splitting (2077), into two cases. % 34.84/10.39 |-Branch one: % 34.84/10.39 | (2078) all_0_44_44 = e0 % 34.84/10.39 | % 34.84/10.39 | Equations (2078) can reduce 330 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (330) ~ (all_0_44_44 = e0) % 34.84/10.39 | (2081) all_0_44_44 = e3 % 34.84/10.39 | % 34.84/10.39 | Equations (2081) can reduce 310 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (583) all_0_56_56 = e1 % 34.84/10.39 | (717) all_0_59_59 = e4 % 34.84/10.39 | % 34.84/10.39 | Combining equations (717,456) yields a new equation: % 34.84/10.39 | (718) e4 = e3 % 34.84/10.39 | % 34.84/10.39 | Simplifying 718 yields: % 34.84/10.39 | (443) e4 = e3 % 34.84/10.39 | % 34.84/10.39 | Equations (443) can reduce 30 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 34.84/10.39 | % 34.84/10.39 | Applying alpha-rule on (514) yields: % 34.84/10.39 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 34.84/10.39 | (516) ~ (all_0_47_47 = e3) % 34.84/10.39 | (314) ~ (all_0_55_55 = e3) % 34.84/10.39 | (368) all_0_49_49 = e2 % 34.84/10.39 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 34.84/10.39 | (520) ~ (unit = e3) % 34.84/10.39 | (521) ~ (all_0_52_52 = e3) % 34.84/10.39 | (455) ~ (all_0_46_46 = e3) % 34.84/10.39 | (432) ~ (all_0_40_40 = e3) % 34.84/10.39 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 34.84/10.39 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 34.84/10.39 | (526) ~ (all_0_56_56 = e3) % 34.84/10.39 | % 34.84/10.39 | Combining equations (384,368) yields a new equation: % 34.84/10.39 | (385) e2 = e0 % 34.84/10.39 | % 34.84/10.39 | Equations (385) can reduce 51 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 34.84/10.39 | % 34.84/10.39 | Applying alpha-rule on (528) yields: % 34.84/10.39 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 34.84/10.39 | (530) all_0_55_55 = e1 % 34.84/10.39 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 34.84/10.39 | (387) ~ (all_0_49_49 = e0) % 34.84/10.39 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 34.84/10.39 | (534) ~ (all_0_45_45 = e0) % 34.84/10.39 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 34.84/10.39 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 34.84/10.39 | (537) ~ (unit = e0) % 34.84/10.39 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 34.84/10.39 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 34.84/10.39 | % 34.84/10.39 | Equations (384) can reduce 387 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 34.84/10.39 | % 34.84/10.39 | Applying alpha-rule on (543) yields: % 34.84/10.39 | (544) ~ (all_0_48_48 = e2) % 34.84/10.39 | (369) ~ (all_0_41_41 = e2) % 34.84/10.39 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 34.84/10.39 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 34.84/10.39 | (253) ~ (all_0_43_43 = e2) % 34.84/10.39 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 34.84/10.39 | (276) ~ (all_0_55_55 = e2) % 34.84/10.39 | (260) ~ (all_0_59_59 = e2) % 34.84/10.39 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 34.84/10.39 | (274) ~ (all_0_53_53 = e2) % 34.84/10.39 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 34.84/10.39 | (373) ~ (all_0_51_51 = e2) % 34.84/10.39 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 34.84/10.39 | (256) ~ (all_0_47_47 = e2) % 34.84/10.39 | (377) ~ (all_0_57_57 = e2) % 34.84/10.39 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 34.84/10.39 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 34.84/10.39 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 34.84/10.39 | (258) ~ (all_0_50_50 = e2) % 34.84/10.39 | (254) ~ (all_0_45_45 = e2) % 34.84/10.39 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 34.84/10.39 | % 34.84/10.39 | Equations (897) can reduce 377 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (721) ~ (all_0_48_48 = e4) % 34.84/10.39 | (722) all_0_50_50 = e4 | all_0_51_51 = e4 % 34.84/10.39 | % 34.84/10.39 +-Applying beta-rule and splitting (722), into two cases. % 34.84/10.39 |-Branch one: % 34.84/10.39 | (714) all_0_50_50 = e4 % 34.84/10.39 | % 34.84/10.39 | Combining equations (627,714) yields a new equation: % 34.84/10.39 | (541) e4 = e1 % 34.84/10.39 | % 34.84/10.39 | Equations (541) can reduce 247 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (611) ~ (all_0_50_50 = e4) % 34.84/10.39 | (1501) all_0_51_51 = e4 % 34.84/10.39 | % 34.84/10.39 | Combining equations (1501,927) yields a new equation: % 34.84/10.39 | (878) e4 = e2 % 34.84/10.39 | % 34.84/10.39 | Simplifying 878 yields: % 34.84/10.39 | (470) e4 = e2 % 34.84/10.39 | % 34.84/10.39 | Equations (470) can reduce 231 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (712) ~ (all_0_43_43 = e4) % 34.84/10.39 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 34.84/10.39 | % 34.84/10.39 +-Applying beta-rule and splitting (713), into two cases. % 34.84/10.39 |-Branch one: % 34.84/10.39 | (714) all_0_50_50 = e4 % 34.84/10.39 | % 34.84/10.39 | Combining equations (627,714) yields a new equation: % 34.84/10.39 | (541) e4 = e1 % 34.84/10.39 | % 34.84/10.39 | Equations (541) can reduce 247 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (611) ~ (all_0_50_50 = e4) % 34.84/10.39 | (717) all_0_59_59 = e4 % 34.84/10.39 | % 34.84/10.39 | Combining equations (717,456) yields a new equation: % 34.84/10.39 | (718) e4 = e3 % 34.84/10.39 | % 34.84/10.39 | Simplifying 718 yields: % 34.84/10.39 | (443) e4 = e3 % 34.84/10.39 | % 34.84/10.39 | Equations (443) can reduce 30 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (678) ~ (all_0_50_50 = e1) % 34.84/10.39 | (600) all_0_59_59 = e1 % 34.84/10.39 | % 34.84/10.39 | Combining equations (456,600) yields a new equation: % 34.84/10.39 | (680) e3 = e1 % 34.84/10.39 | % 34.84/10.39 | Simplifying 680 yields: % 34.84/10.39 | (601) e3 = e1 % 34.84/10.39 | % 34.84/10.39 | Equations (601) can reduce 136 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (387) ~ (all_0_49_49 = e0) % 34.84/10.39 | (407) all_0_57_57 = e0 % 34.84/10.39 | % 34.84/10.39 | Combining equations (897,407) yields a new equation: % 34.84/10.39 | (403) e2 = e0 % 34.84/10.39 | % 34.84/10.39 | Simplifying 403 yields: % 34.84/10.39 | (385) e2 = e0 % 34.84/10.39 | % 34.84/10.39 | Equations (385) can reduce 51 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (288) ~ (all_0_40_40 = e0) % 34.84/10.39 | (6377) all_0_45_45 = e0 | all_0_48_48 = e0 | all_0_56_56 = e0 % 34.84/10.39 | % 34.84/10.39 +-Applying beta-rule and splitting (6377), into two cases. % 34.84/10.39 |-Branch one: % 34.84/10.39 | (287) all_0_45_45 = e0 % 34.84/10.39 | % 34.84/10.39 | Combining equations (287,493) yields a new equation: % 34.84/10.39 | (497) e3 = e0 % 34.84/10.39 | % 34.84/10.39 | Equations (497) can reduce 70 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (534) ~ (all_0_45_45 = e0) % 34.84/10.39 | (6383) all_0_48_48 = e0 | all_0_56_56 = e0 % 34.84/10.39 | % 34.84/10.39 +-Applying beta-rule and splitting (63), into two cases. % 34.84/10.39 |-Branch one: % 34.84/10.39 | (2834) all_0_40_40 = e0 % 34.84/10.39 | % 34.84/10.39 | Equations (2834) can reduce 288 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (288) ~ (all_0_40_40 = e0) % 34.84/10.39 | (5766) all_0_41_41 = e0 | all_0_42_42 = e0 | all_0_44_44 = e0 % 34.84/10.39 | % 34.84/10.39 +-Applying beta-rule and splitting (5766), into two cases. % 34.84/10.39 |-Branch one: % 34.84/10.39 | (398) all_0_41_41 = e0 % 34.84/10.39 | % 34.84/10.39 | Equations (398) can reduce 177 to: % 34.84/10.39 | (8746) ~ (all_0_49_49 = e0) % 34.84/10.39 | % 34.84/10.39 | Simplifying 8746 yields: % 34.84/10.39 | (387) ~ (all_0_49_49 = e0) % 34.84/10.39 | % 34.84/10.39 +-Applying beta-rule and splitting (2168), into two cases. % 34.84/10.39 |-Branch one: % 34.84/10.39 | (1580) all_0_49_49 = e1 % 34.84/10.39 | % 34.84/10.39 | Equations (1580) can reduce 58 to: % 34.84/10.39 | (802) ~ (all_0_48_48 = e1) % 34.84/10.39 | % 34.84/10.39 +-Applying beta-rule and splitting (212), into two cases. % 34.84/10.39 |-Branch one: % 34.84/10.39 | (727) all_0_48_48 = e2 % 34.84/10.39 | % 34.84/10.39 | Equations (727) can reduce 544 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (544) ~ (all_0_48_48 = e2) % 34.84/10.39 | (730) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 34.84/10.39 | % 34.84/10.39 +-Applying beta-rule and splitting (730), into two cases. % 34.84/10.39 |-Branch one: % 34.84/10.39 | (609) all_0_48_48 = e4 % 34.84/10.39 | % 34.84/10.39 | Equations (609) can reduce 292 to: % 34.84/10.39 | (4) ~ (e4 = e0) % 34.84/10.39 | % 34.84/10.39 +-Applying beta-rule and splitting (6383), into two cases. % 34.84/10.39 |-Branch one: % 34.84/10.39 | (380) all_0_48_48 = e0 % 34.84/10.39 | % 34.84/10.39 | Combining equations (380,609) yields a new equation: % 34.84/10.39 | (654) e4 = e0 % 34.84/10.39 | % 34.84/10.39 | Equations (654) can reduce 4 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (292) ~ (all_0_48_48 = e0) % 34.84/10.39 | (2307) all_0_56_56 = e0 % 34.84/10.39 | % 34.84/10.39 | Equations (2307) can reduce 296 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (721) ~ (all_0_48_48 = e4) % 34.84/10.39 | (811) all_0_48_48 = e1 | all_0_48_48 = e0 % 34.84/10.39 | % 34.84/10.39 +-Applying beta-rule and splitting (811), into two cases. % 34.84/10.39 |-Branch one: % 34.84/10.39 | (748) all_0_48_48 = e1 % 34.84/10.39 | % 34.84/10.39 | Equations (748) can reduce 802 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (802) ~ (all_0_48_48 = e1) % 34.84/10.39 | (380) all_0_48_48 = e0 % 34.84/10.39 | % 34.84/10.39 | Equations (380) can reduce 292 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (506) ~ (all_0_49_49 = e1) % 34.84/10.39 | (384) all_0_49_49 = e0 % 34.84/10.39 | % 34.84/10.39 | Equations (384) can reduce 387 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (326) ~ (all_0_41_41 = e0) % 34.84/10.39 | (5772) all_0_42_42 = e0 | all_0_44_44 = e0 % 34.84/10.39 | % 34.84/10.39 +-Applying beta-rule and splitting (383), into two cases. % 34.84/10.39 |-Branch one: % 34.84/10.39 | (384) all_0_49_49 = e0 % 34.84/10.39 | % 34.84/10.39 | Equations (384) can reduce 2167 to: % 34.84/10.39 | (335) ~ (e2 = e0) % 34.84/10.39 | % 34.84/10.39 | Simplifying 335 yields: % 34.84/10.39 | (51) ~ (e2 = e0) % 34.84/10.39 | % 34.84/10.39 +-Applying beta-rule and splitting (5772), into two cases. % 34.84/10.39 |-Branch one: % 34.84/10.39 | (324) all_0_42_42 = e0 % 34.84/10.39 | % 34.84/10.39 | Combining equations (324,959) yields a new equation: % 34.84/10.39 | (385) e2 = e0 % 34.84/10.39 | % 34.84/10.39 | Equations (385) can reduce 51 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (3164) ~ (all_0_42_42 = e0) % 34.84/10.39 | (2078) all_0_44_44 = e0 % 34.84/10.39 | % 34.84/10.39 | Equations (2078) can reduce 330 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (387) ~ (all_0_49_49 = e0) % 34.84/10.39 | (388) all_0_51_51 = e0 % 34.84/10.39 | % 34.84/10.39 | Combining equations (927,388) yields a new equation: % 34.84/10.39 | (403) e2 = e0 % 34.84/10.39 | % 34.84/10.39 | Simplifying 403 yields: % 34.84/10.39 | (385) e2 = e0 % 34.84/10.39 | % 34.84/10.39 | Equations (385) can reduce 51 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (373) ~ (all_0_51_51 = e2) % 34.84/10.39 | (931) all_0_55_55 = e2 | all_0_60_60 = e2 % 34.84/10.39 | % 34.84/10.39 +-Applying beta-rule and splitting (931), into two cases. % 34.84/10.39 |-Branch one: % 34.84/10.39 | (932) all_0_55_55 = e2 % 34.84/10.39 | % 34.84/10.39 | Equations (932) can reduce 276 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (276) ~ (all_0_55_55 = e2) % 34.84/10.39 | (913) all_0_60_60 = e2 % 34.84/10.39 | % 34.84/10.39 | Equations (913) can reduce 571 to: % 34.84/10.39 | (303) $false % 34.84/10.39 | % 34.84/10.39 |-The branch is then unsatisfiable % 34.84/10.39 |-Branch two: % 34.84/10.39 | (273) ~ (all_0_52_52 = e2) % 34.84/10.39 | (15176) all_0_53_53 = e2 | all_0_54_54 = e2 | all_0_55_55 = e2 % 34.84/10.39 | % 34.84/10.40 +-Applying beta-rule and splitting (15176), into two cases. % 34.84/10.40 |-Branch one: % 34.84/10.40 | (360) all_0_53_53 = e2 % 34.84/10.40 | % 34.84/10.40 | Equations (360) can reduce 274 to: % 34.84/10.40 | (303) $false % 34.84/10.40 | % 34.84/10.40 |-The branch is then unsatisfiable % 34.84/10.40 |-Branch two: % 34.84/10.40 | (274) ~ (all_0_53_53 = e2) % 34.84/10.40 | (15180) all_0_54_54 = e2 | all_0_55_55 = e2 % 34.84/10.40 | % 34.84/10.40 +-Applying beta-rule and splitting (15180), into two cases. % 34.84/10.40 |-Branch one: % 34.84/10.40 | (271) all_0_54_54 = e2 % 34.84/10.40 | % 34.84/10.40 | Combining equations (271,469) yields a new equation: % 34.84/10.40 | (470) e4 = e2 % 34.84/10.40 | % 34.84/10.40 | Equations (470) can reduce 231 to: % 34.84/10.40 | (303) $false % 34.84/10.40 | % 34.84/10.40 |-The branch is then unsatisfiable % 34.84/10.40 |-Branch two: % 34.84/10.40 | (3453) ~ (all_0_54_54 = e2) % 34.84/10.40 | (932) all_0_55_55 = e2 % 34.84/10.40 | % 34.84/10.40 | Equations (932) can reduce 13 to: % 34.84/10.40 | (373) ~ (all_0_51_51 = e2) % 34.84/10.40 | % 34.84/10.40 | Equations (932) can reduce 93 to: % 34.84/10.40 | (51) ~ (e2 = e0) % 34.84/10.40 | % 34.84/10.40 +-Applying beta-rule and splitting (97), into two cases. % 34.84/10.40 |-Branch one: % 34.84/10.40 | (727) all_0_48_48 = e2 % 34.84/10.40 | % 34.84/10.40 | Equations (727) can reduce 58 to: % 34.84/10.40 | (2170) ~ (all_0_49_49 = e2) % 34.84/10.40 | % 34.84/10.40 | Simplifying 2170 yields: % 34.84/10.40 | (2167) ~ (all_0_49_49 = e2) % 34.84/10.40 | % 34.84/10.40 | Equations (727) can reduce 108 to: % 34.84/10.40 | (8205) ~ (all_0_52_52 = e2) % 34.84/10.40 | % 34.84/10.40 | Simplifying 8205 yields: % 34.84/10.40 | (273) ~ (all_0_52_52 = e2) % 34.84/10.40 | % 34.84/10.40 | Equations (727) can reduce 34 to: % 34.84/10.40 | (577) ~ (e3 = e2) % 34.84/10.40 | % 34.84/10.40 | Simplifying 577 yields: % 34.84/10.40 | (223) ~ (e3 = e2) % 34.84/10.40 | % 34.84/10.40 +-Applying beta-rule and splitting (67), into two cases. % 34.84/10.40 |-Branch one: % 34.84/10.40 | (380) all_0_48_48 = e0 % 34.84/10.40 | % 34.84/10.40 | Combining equations (727,380) yields a new equation: % 34.84/10.40 | (403) e2 = e0 % 34.84/10.40 | % 34.84/10.40 | Simplifying 403 yields: % 34.84/10.40 | (385) e2 = e0 % 34.84/10.40 | % 34.84/10.40 | Equations (385) can reduce 51 to: % 34.84/10.40 | (303) $false % 34.84/10.40 | % 34.84/10.40 |-The branch is then unsatisfiable % 34.84/10.40 |-Branch two: % 34.84/10.40 | (292) ~ (all_0_48_48 = e0) % 34.84/10.40 | (383) all_0_49_49 = e0 | all_0_51_51 = e0 % 34.84/10.40 | % 34.84/10.40 +-Applying beta-rule and splitting (64), into two cases. % 34.84/10.40 |-Branch one: % 34.84/10.40 | (425) all_0_52_52 = e3 % 34.84/10.40 | % 34.84/10.40 | Equations (425) can reduce 521 to: % 34.84/10.40 | (303) $false % 34.84/10.40 | % 34.84/10.40 |-The branch is then unsatisfiable % 34.84/10.40 |-Branch two: % 34.84/10.40 | (521) ~ (all_0_52_52 = e3) % 34.84/10.40 | (1006) all_0_53_53 = e3 | all_0_55_55 = e3 % 34.84/10.40 | % 34.84/10.40 +-Applying beta-rule and splitting (383), into two cases. % 34.84/10.40 |-Branch one: % 34.84/10.40 | (384) all_0_49_49 = e0 % 34.84/10.40 | % 34.84/10.40 | Equations (384) can reduce 2167 to: % 34.84/10.40 | (335) ~ (e2 = e0) % 34.84/10.40 | % 34.84/10.40 | Simplifying 335 yields: % 34.84/10.40 | (51) ~ (e2 = e0) % 34.84/10.40 | % 34.84/10.40 +-Applying beta-rule and splitting (1006), into two cases. % 34.84/10.40 |-Branch one: % 34.84/10.40 | (994) all_0_53_53 = e3 % 34.84/10.40 | % 34.84/10.40 +-Applying beta-rule and splitting (221), into two cases. % 34.84/10.40 |-Branch one: % 34.84/10.40 | (696) all_0_41_41 = e1 % 34.84/10.40 | % 34.84/10.40 | Equations (696) can reduce 369 to: % 34.84/10.40 | (565) ~ (e2 = e1) % 34.84/10.40 | % 34.84/10.40 | Simplifying 565 yields: % 34.84/10.40 | (144) ~ (e2 = e1) % 34.84/10.40 | % 34.84/10.40 +-Applying beta-rule and splitting (56), into two cases. % 34.84/10.40 |-Branch one: % 34.84/10.40 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 34.84/10.40 | % 34.84/10.40 +-Applying beta-rule and splitting (480), into two cases. % 34.84/10.40 |-Branch one: % 34.84/10.40 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 34.84/10.40 | % 34.84/10.40 +-Applying beta-rule and splitting (481), into two cases. % 34.84/10.40 |-Branch one: % 34.84/10.40 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 34.84/10.40 | % 34.84/10.40 +-Applying beta-rule and splitting (482), into two cases. % 34.84/10.40 |-Branch one: % 34.84/10.40 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 34.84/10.40 | % 34.84/10.40 | Applying alpha-rule on (483) yields: % 34.84/10.40 | (484) ~ (unit = e4) % 34.84/10.40 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 34.84/10.40 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 34.84/10.40 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 34.84/10.40 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 34.84/10.40 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 34.84/10.40 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 34.84/10.40 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 34.84/10.40 | (492) ~ (all_0_55_55 = e4) % 34.84/10.40 | (493) all_0_45_45 = e3 % 34.84/10.40 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 34.84/10.40 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 34.84/10.40 | % 34.84/10.40 +-Applying beta-rule and splitting (485), into two cases. % 34.84/10.40 |-Branch one: % 34.84/10.40 | (472) ~ (all_0_54_54 = e4) % 34.84/10.40 | % 34.84/10.40 | Equations (469) can reduce 472 to: % 34.84/10.40 | (303) $false % 34.84/10.40 | % 34.84/10.40 |-The branch is then unsatisfiable % 34.84/10.40 |-Branch two: % 34.84/10.40 | (469) all_0_54_54 = e4 % 34.84/10.40 | (980) all_0_52_52 = e2 % 34.84/10.40 | % 34.84/10.40 | Equations (980) can reduce 273 to: % 34.84/10.40 | (303) $false % 34.84/10.40 | % 34.84/10.40 |-The branch is then unsatisfiable % 34.84/10.40 |-Branch two: % 34.84/10.40 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 34.84/10.40 | % 34.84/10.40 | Applying alpha-rule on (499) yields: % 34.84/10.40 | (500) ~ (all_0_51_51 = e1) % 34.84/10.40 | (501) ~ (all_0_60_60 = e1) % 34.84/10.40 | (502) ~ (all_0_52_52 = e1) % 34.84/10.40 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 34.84/10.40 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 34.84/10.40 | (252) all_0_46_46 = e2 % 34.84/10.40 | (506) ~ (all_0_49_49 = e1) % 34.84/10.40 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 34.84/10.40 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 34.84/10.40 | (509) ~ (all_0_53_53 = e1) % 34.84/10.40 | (510) ~ (unit = e1) % 34.84/10.40 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 34.84/10.40 | (512) ~ (all_0_44_44 = e1) % 34.84/10.40 | % 34.84/10.40 +-Applying beta-rule and splitting (27), into two cases. % 34.84/10.40 |-Branch one: % 34.84/10.40 | (705) all_0_44_44 = e1 % 34.84/10.40 | % 34.84/10.40 | Equations (705) can reduce 512 to: % 34.84/10.40 | (303) $false % 34.84/10.40 | % 34.84/10.40 |-The branch is then unsatisfiable % 34.84/10.40 |-Branch two: % 34.84/10.40 | (512) ~ (all_0_44_44 = e1) % 34.84/10.40 | (1589) all_0_51_51 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1 % 34.84/10.40 | % 34.84/10.40 +-Applying beta-rule and splitting (228), into two cases. % 34.84/10.40 |-Branch one: % 34.84/10.40 | (748) all_0_48_48 = e1 % 34.84/10.40 | % 34.84/10.40 | Combining equations (727,748) yields a new equation: % 34.84/10.40 | (584) e2 = e1 % 34.84/10.40 | % 34.84/10.40 | Simplifying 584 yields: % 34.84/10.40 | (585) e2 = e1 % 34.84/10.40 | % 34.84/10.40 | Equations (585) can reduce 144 to: % 34.84/10.40 | (303) $false % 34.84/10.40 | % 34.84/10.40 |-The branch is then unsatisfiable % 34.84/10.40 |-Branch two: % 34.84/10.40 | (802) ~ (all_0_48_48 = e1) % 34.84/10.40 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 34.84/10.40 | % 34.84/10.40 | Equations (727) can reduce 802 to: % 34.84/10.40 | (144) ~ (e2 = e1) % 34.84/10.40 | % 34.84/10.40 +-Applying beta-rule and splitting (1589), into two cases. % 34.84/10.40 |-Branch one: % 34.84/10.40 | (1590) all_0_51_51 = e1 % 34.84/10.40 | % 34.84/10.40 | Equations (1590) can reduce 500 to: % 34.84/10.40 | (303) $false % 34.84/10.40 | % 34.84/10.40 |-The branch is then unsatisfiable % 34.84/10.40 |-Branch two: % 34.84/10.40 | (500) ~ (all_0_51_51 = e1) % 34.84/10.40 | (1594) all_0_55_55 = e1 | all_0_60_60 = e1 % 34.84/10.40 | % 34.84/10.40 +-Applying beta-rule and splitting (1594), into two cases. % 34.84/10.40 |-Branch one: % 34.84/10.40 | (530) all_0_55_55 = e1 % 34.84/10.40 | % 34.84/10.40 | Combining equations (932,530) yields a new equation: % 34.84/10.40 | (584) e2 = e1 % 34.84/10.40 | % 34.84/10.40 | Simplifying 584 yields: % 34.84/10.40 | (585) e2 = e1 % 34.84/10.40 | % 34.84/10.40 | Equations (585) can reduce 144 to: % 34.84/10.40 | (303) $false % 34.84/10.40 | % 34.84/10.40 |-The branch is then unsatisfiable % 34.84/10.40 |-Branch two: % 34.84/10.40 | (464) ~ (all_0_55_55 = e1) % 34.84/10.40 | (604) all_0_60_60 = e1 % 34.84/10.40 | % 34.84/10.40 | Equations (604) can reduce 501 to: % 34.84/10.40 | (303) $false % 34.84/10.40 | % 34.84/10.40 |-The branch is then unsatisfiable % 34.84/10.40 |-Branch two: % 34.84/10.40 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 34.84/10.40 | % 34.84/10.40 | Applying alpha-rule on (514) yields: % 34.84/10.40 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 34.84/10.40 | (516) ~ (all_0_47_47 = e3) % 34.84/10.40 | (314) ~ (all_0_55_55 = e3) % 34.84/10.40 | (368) all_0_49_49 = e2 % 34.84/10.40 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 34.84/10.40 | (520) ~ (unit = e3) % 34.84/10.40 | (521) ~ (all_0_52_52 = e3) % 34.84/10.40 | (455) ~ (all_0_46_46 = e3) % 34.84/10.40 | (432) ~ (all_0_40_40 = e3) % 34.84/10.40 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 34.84/10.40 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 34.84/10.40 | (526) ~ (all_0_56_56 = e3) % 34.84/10.40 | % 34.84/10.40 | Combining equations (384,368) yields a new equation: % 34.84/10.40 | (385) e2 = e0 % 34.84/10.40 | % 34.84/10.40 | Equations (385) can reduce 51 to: % 34.84/10.40 | (303) $false % 34.84/10.40 | % 34.84/10.40 |-The branch is then unsatisfiable % 34.84/10.40 |-Branch two: % 34.84/10.40 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 34.84/10.40 | % 34.84/10.40 | Applying alpha-rule on (528) yields: % 34.84/10.40 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 34.84/10.40 | (530) all_0_55_55 = e1 % 34.84/10.40 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 34.84/10.40 | (387) ~ (all_0_49_49 = e0) % 34.84/10.40 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 34.84/10.40 | (534) ~ (all_0_45_45 = e0) % 34.84/10.40 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 34.84/10.40 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 34.84/10.40 | (537) ~ (unit = e0) % 34.84/10.40 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 34.84/10.40 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 34.84/10.40 | % 34.84/10.40 | Combining equations (932,530) yields a new equation: % 34.84/10.40 | (584) e2 = e1 % 34.84/10.40 | % 34.84/10.40 | Simplifying 584 yields: % 34.84/10.40 | (585) e2 = e1 % 34.84/10.40 | % 34.84/10.40 | Equations (585) can reduce 144 to: % 34.84/10.40 | (303) $false % 34.84/10.40 | % 34.84/10.40 |-The branch is then unsatisfiable % 34.84/10.40 |-Branch two: % 34.84/10.40 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 34.84/10.40 | % 34.84/10.40 | Applying alpha-rule on (543) yields: % 34.84/10.40 | (544) ~ (all_0_48_48 = e2) % 34.84/10.40 | (369) ~ (all_0_41_41 = e2) % 34.84/10.40 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 34.84/10.40 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 34.84/10.40 | (253) ~ (all_0_43_43 = e2) % 34.84/10.40 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 34.84/10.40 | (276) ~ (all_0_55_55 = e2) % 34.84/10.40 | (260) ~ (all_0_59_59 = e2) % 34.84/10.40 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 34.84/10.40 | (274) ~ (all_0_53_53 = e2) % 34.84/10.40 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 34.84/10.40 | (373) ~ (all_0_51_51 = e2) % 34.84/10.40 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 34.84/10.40 | (256) ~ (all_0_47_47 = e2) % 34.84/10.40 | (377) ~ (all_0_57_57 = e2) % 34.84/10.40 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 34.84/10.40 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 34.84/10.40 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 34.84/10.40 | (258) ~ (all_0_50_50 = e2) % 34.84/10.40 | (254) ~ (all_0_45_45 = e2) % 34.84/10.40 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 34.84/10.40 | % 34.84/10.40 | Equations (897) can reduce 377 to: % 34.84/10.40 | (303) $false % 34.84/10.40 | % 34.84/10.40 |-The branch is then unsatisfiable % 34.84/10.40 |-Branch two: % 34.84/10.40 | (699) ~ (all_0_41_41 = e1) % 34.84/10.40 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 34.84/10.40 | % 34.84/10.40 +-Applying beta-rule and splitting (2154), into two cases. % 34.84/10.40 |-Branch one: % 34.84/10.40 | (1580) all_0_49_49 = e1 % 34.84/10.40 | % 34.84/10.40 | Combining equations (384,1580) yields a new equation: % 34.84/10.40 | (590) e1 = e0 % 34.84/10.40 | % 34.84/10.40 | Equations (590) can reduce 134 to: % 34.84/10.40 | (303) $false % 34.84/10.40 | % 34.84/10.40 |-The branch is then unsatisfiable % 34.84/10.40 |-Branch two: % 34.84/10.40 | (506) ~ (all_0_49_49 = e1) % 34.84/10.40 | (2676) all_0_53_53 = e1 | all_0_57_57 = e1 % 34.84/10.40 | % 34.84/10.40 +-Applying beta-rule and splitting (2676), into two cases. % 34.84/10.40 |-Branch one: % 34.84/10.40 | (462) all_0_53_53 = e1 % 34.84/10.40 | % 34.84/10.40 | Combining equations (994,462) yields a new equation: % 34.84/10.40 | (680) e3 = e1 % 34.84/10.40 | % 34.84/10.40 | Simplifying 680 yields: % 34.84/10.40 | (601) e3 = e1 % 34.84/10.40 | % 34.84/10.40 | Equations (601) can reduce 136 to: % 34.84/10.40 | (303) $false % 34.84/10.40 | % 34.84/10.40 |-The branch is then unsatisfiable % 34.84/10.40 |-Branch two: % 34.84/10.40 | (509) ~ (all_0_53_53 = e1) % 34.84/10.40 | (589) all_0_57_57 = e1 % 34.84/10.40 | % 34.84/10.40 | Combining equations (589,897) yields a new equation: % 34.84/10.40 | (585) e2 = e1 % 34.84/10.40 | % 34.84/10.40 | Equations (585) can reduce 144 to: % 34.84/10.40 | (303) $false % 34.84/10.40 | % 34.84/10.40 |-The branch is then unsatisfiable % 34.84/10.40 |-Branch two: % 34.84/10.40 | (428) ~ (all_0_53_53 = e3) % 34.84/10.40 | (2165) all_0_55_55 = e3 % 34.84/10.40 | % 34.84/10.40 | Combining equations (2165,932) yields a new equation: % 34.84/10.40 | (452) e3 = e2 % 34.84/10.40 | % 34.84/10.40 | Simplifying 452 yields: % 34.84/10.40 | (453) e3 = e2 % 34.84/10.40 | % 34.84/10.40 | Equations (453) can reduce 223 to: % 34.84/10.40 | (303) $false % 34.84/10.40 | % 34.84/10.40 |-The branch is then unsatisfiable % 34.84/10.40 |-Branch two: % 34.84/10.40 | (387) ~ (all_0_49_49 = e0) % 34.84/10.40 | (388) all_0_51_51 = e0 % 34.84/10.40 | % 34.84/10.40 | Equations (388) can reduce 2347 to: % 34.84/10.40 | (303) $false % 34.84/10.40 | % 34.84/10.40 |-The branch is then unsatisfiable % 34.84/10.40 |-Branch two: % 34.84/10.40 | (544) ~ (all_0_48_48 = e2) % 34.84/10.40 | (2476) all_0_49_49 = e2 | all_0_50_50 = e2 | all_0_51_51 = e2 % 34.84/10.40 | % 34.84/10.40 +-Applying beta-rule and splitting (2476), into two cases. % 34.84/10.40 |-Branch one: % 34.84/10.40 | (368) all_0_49_49 = e2 % 34.84/10.40 | % 34.84/10.40 | Equations (368) can reduce 2167 to: % 34.84/10.40 | (303) $false % 34.84/10.40 | % 34.84/10.40 |-The branch is then unsatisfiable % 34.84/10.40 |-Branch two: % 34.84/10.40 | (2167) ~ (all_0_49_49 = e2) % 34.84/10.40 | (2480) all_0_50_50 = e2 | all_0_51_51 = e2 % 34.84/10.40 | % 34.84/10.40 +-Applying beta-rule and splitting (2480), into two cases. % 34.84/10.40 |-Branch one: % 34.84/10.40 | (364) all_0_50_50 = e2 % 34.84/10.40 | % 34.84/10.40 | Equations (364) can reduce 258 to: % 34.84/10.40 | (303) $false % 34.84/10.40 | % 34.84/10.40 |-The branch is then unsatisfiable % 34.84/10.40 |-Branch two: % 34.84/10.40 | (258) ~ (all_0_50_50 = e2) % 34.84/10.40 | (927) all_0_51_51 = e2 % 34.84/10.40 | % 34.84/10.40 | Equations (927) can reduce 373 to: % 34.84/10.40 | (303) $false % 34.84/10.40 | % 34.84/10.40 |-The branch is then unsatisfiable % 34.84/10.41 |-Branch two: % 34.84/10.41 | (1109) ~ (all_0_45_45 = e3) % 34.84/10.41 | (12370) all_0_46_46 = e3 | all_0_47_47 = e3 % 34.84/10.41 | % 34.84/10.41 +-Applying beta-rule and splitting (12370), into two cases. % 34.84/10.41 |-Branch one: % 34.84/10.41 | (451) all_0_46_46 = e3 % 34.84/10.41 | % 34.84/10.41 | Combining equations (252,451) yields a new equation: % 34.84/10.41 | (453) e3 = e2 % 34.84/10.41 | % 34.84/10.41 | Equations (453) can reduce 223 to: % 34.84/10.41 | (303) $false % 34.84/10.41 | % 34.84/10.41 |-The branch is then unsatisfiable % 34.84/10.41 |-Branch two: % 34.84/10.41 | (455) ~ (all_0_46_46 = e3) % 34.84/10.41 | (309) all_0_47_47 = e3 % 34.84/10.41 | % 34.84/10.41 | Combining equations (306,309) yields a new equation: % 34.84/10.41 | (497) e3 = e0 % 34.84/10.41 | % 34.84/10.41 | Equations (497) can reduce 70 to: % 34.84/10.41 | (303) $false % 34.84/10.41 | % 34.84/10.41 |-The branch is then unsatisfiable % 34.84/10.41 |-Branch two: % 34.84/10.41 | (272) ~ (all_0_42_42 = e2) % 34.84/10.41 | (25387) all_0_54_54 = e2 | all_0_58_58 = e2 % 34.84/10.41 | % 34.84/10.41 +-Applying beta-rule and splitting (25387), into two cases. % 34.84/10.41 |-Branch one: % 34.84/10.41 | (271) all_0_54_54 = e2 % 34.84/10.41 | % 34.84/10.41 | Combining equations (469,271) yields a new equation: % 34.84/10.41 | (878) e4 = e2 % 34.84/10.41 | % 34.84/10.41 | Simplifying 878 yields: % 34.84/10.41 | (470) e4 = e2 % 34.84/10.41 | % 34.84/10.41 | Equations (470) can reduce 231 to: % 34.84/10.41 | (303) $false % 34.84/10.41 | % 34.84/10.41 |-The branch is then unsatisfiable % 34.84/10.41 |-Branch two: % 34.84/10.41 | (3453) ~ (all_0_54_54 = e2) % 34.84/10.41 | (340) all_0_58_58 = e2 % 34.84/10.41 | % 34.84/10.41 | Combining equations (989,340) yields a new equation: % 34.84/10.41 | (385) e2 = e0 % 34.84/10.41 | % 34.84/10.41 | Equations (385) can reduce 51 to: % 34.84/10.41 | (303) $false % 34.84/10.41 | % 34.84/10.41 |-The branch is then unsatisfiable % 34.84/10.41 |-Branch two: % 34.84/10.41 | (25396) ~ (all_0_46_46 = e2) % 34.84/10.41 | (451) all_0_46_46 = e3 % 34.84/10.41 | % 34.84/10.41 | Equations (451) can reduce 146 to: % 34.84/10.41 | (434) ~ (all_0_43_43 = e3) % 34.84/10.41 | % 34.84/10.41 | Equations (451) can reduce 106 to: % 34.84/10.41 | (1109) ~ (all_0_45_45 = e3) % 34.84/10.41 | % 34.84/10.41 | Equations (451) can reduce 173 to: % 34.84/10.41 | (25400) ~ (all_0_47_47 = e3) % 34.84/10.41 | % 34.84/10.41 | Simplifying 25400 yields: % 34.84/10.41 | (516) ~ (all_0_47_47 = e3) % 34.84/10.41 | % 34.84/10.41 | Equations (451) can reduce 40 to: % 34.84/10.41 | (9726) ~ (all_0_50_50 = e3) % 34.84/10.41 | % 34.84/10.41 | Simplifying 9726 yields: % 34.84/10.41 | (15) ~ (all_0_50_50 = e3) % 34.84/10.41 | % 34.84/10.41 | Equations (451) can reduce 143 to: % 34.84/10.41 | (1030) ~ (all_0_59_59 = e3) % 34.84/10.41 | % 34.84/10.41 | Simplifying 1030 yields: % 34.84/10.41 | (1031) ~ (all_0_59_59 = e3) % 34.84/10.41 | % 34.84/10.41 | Equations (451) can reduce 25396 to: % 34.84/10.41 | (223) ~ (e3 = e2) % 34.84/10.41 | % 34.84/10.41 | Equations (451) can reduce 201 to: % 34.84/10.41 | (136) ~ (e3 = e1) % 34.84/10.41 | % 34.84/10.41 | From (451) and (109) follows: % 34.84/10.41 | (25408) op(e3, e3) = all_0_11_11 % 34.84/10.41 | % 34.84/10.41 | From (451) and (123) follows: % 34.84/10.41 | (25409) op(e3, e1) = all_0_12_12 % 34.84/10.41 | % 34.84/10.41 | From (451) and (86) follows: % 34.84/10.41 | (1862) op(e3, e1) = e3 % 34.84/10.41 | % 34.84/10.41 | Instantiating formula (29) with e3, e3, all_0_11_11, e4 and discharging atoms op(e3, e3) = all_0_11_11, op(e3, e3) = e4, yields: % 35.08/10.41 | (25411) all_0_11_11 = e4 % 35.08/10.41 | % 35.08/10.41 | Instantiating formula (29) with e3, e1, e3, all_0_12_12 and discharging atoms op(e3, e1) = all_0_12_12, op(e3, e1) = e3, yields: % 35.08/10.41 | (3546) all_0_12_12 = e3 % 35.08/10.41 | % 35.08/10.41 | From (25411) and (25408) follows: % 35.08/10.41 | (22) op(e3, e3) = e4 % 35.08/10.41 | % 35.08/10.41 | From (3546) and (25409) follows: % 35.08/10.42 | (1862) op(e3, e1) = e3 % 35.08/10.42 | % 35.08/10.42 +-Applying beta-rule and splitting (199), into two cases. % 35.08/10.42 |-Branch one: % 35.08/10.42 | (271) all_0_54_54 = e2 % 35.08/10.42 | % 35.08/10.42 | Equations (271) can reduce 154 to: % 35.08/10.42 | (272) ~ (all_0_42_42 = e2) % 35.08/10.42 | % 35.08/10.42 | Equations (271) can reduce 14 to: % 35.08/10.42 | (274) ~ (all_0_53_53 = e2) % 35.08/10.42 | % 35.08/10.42 | Equations (271) can reduce 73 to: % 35.08/10.42 | (275) ~ (all_0_55_55 = e2) % 35.08/10.42 | % 35.08/10.42 | Simplifying 275 yields: % 35.08/10.42 | (276) ~ (all_0_55_55 = e2) % 35.08/10.42 | % 35.08/10.42 | Equations (271) can reduce 3 to: % 35.08/10.42 | (277) ~ (all_0_58_58 = e2) % 35.08/10.42 | % 35.08/10.42 | Simplifying 277 yields: % 35.08/10.42 | (278) ~ (all_0_58_58 = e2) % 35.08/10.42 | % 35.08/10.42 | Equations (271) can reduce 246 to: % 35.08/10.42 | (577) ~ (e3 = e2) % 35.08/10.42 | % 35.08/10.42 | Simplifying 577 yields: % 35.08/10.42 | (223) ~ (e3 = e2) % 35.08/10.42 | % 35.08/10.42 | From (271) and (28) follows: % 35.08/10.42 | (280) op(e2, e2) = all_0_28_28 % 35.08/10.42 | % 35.08/10.42 | From (271) and (206) follows: % 35.08/10.42 | (281) op(e2, e1) = all_0_27_27 % 35.08/10.42 | % 35.08/10.42 | Instantiating formula (29) with e2, e2, all_0_28_28, e3 and discharging atoms op(e2, e2) = all_0_28_28, op(e2, e2) = e3, yields: % 35.08/10.42 | (283) all_0_28_28 = e3 % 35.08/10.42 | % 35.08/10.42 | Instantiating formula (29) with e2, e1, all_0_27_27, all_0_50_50 and discharging atoms op(e2, e1) = all_0_27_27, op(e2, e1) = all_0_50_50, yields: % 35.08/10.42 | (284) all_0_27_27 = all_0_50_50 % 35.08/10.42 | % 35.08/10.42 | From (283) and (280) follows: % 35.08/10.42 | (83) op(e2, e2) = e3 % 35.08/10.42 | % 35.08/10.42 | From (284) and (281) follows: % 35.08/10.42 | (186) op(e2, e1) = all_0_50_50 % 35.08/10.42 | % 35.08/10.42 +-Applying beta-rule and splitting (36), into two cases. % 35.08/10.42 |-Branch one: % 35.08/10.42 | (951) all_0_45_45 = e2 % 35.08/10.42 | % 35.08/10.42 | Equations (951) can reduce 120 to: % 35.08/10.42 | (939) ~ (all_0_40_40 = e2) % 35.08/10.42 | % 35.08/10.42 | Equations (951) can reduce 118 to: % 35.08/10.42 | (255) ~ (all_0_47_47 = e2) % 35.08/10.42 | % 35.08/10.42 | Simplifying 255 yields: % 35.08/10.42 | (256) ~ (all_0_47_47 = e2) % 35.08/10.42 | % 35.08/10.42 | Equations (951) can reduce 182 to: % 35.08/10.42 | (2174) ~ (all_0_56_56 = e2) % 35.08/10.42 | % 35.08/10.42 | Simplifying 2174 yields: % 35.08/10.42 | (594) ~ (all_0_56_56 = e2) % 35.08/10.42 | % 35.08/10.42 | Equations (951) can reduce 217 to: % 35.08/10.42 | (261) ~ (e4 = e2) % 35.08/10.42 | % 35.08/10.42 | Simplifying 261 yields: % 35.08/10.42 | (231) ~ (e4 = e2) % 35.08/10.42 | % 35.08/10.42 | Equations (951) can reduce 1109 to: % 35.08/10.42 | (577) ~ (e3 = e2) % 35.08/10.42 | % 35.08/10.42 | Simplifying 577 yields: % 35.08/10.42 | (223) ~ (e3 = e2) % 35.08/10.42 | % 35.08/10.42 | From (951) and (102) follows: % 35.08/10.42 | (25440) op(e2, e4) = all_0_10_10 % 35.08/10.42 | % 35.08/10.42 | From (951) and (72) follows: % 35.08/10.42 | (25441) op(e3, e4) = e2 % 35.08/10.42 | % 35.08/10.42 +-Applying beta-rule and splitting (133), into two cases. % 35.08/10.42 |-Branch one: % 35.08/10.42 | (302) all_0_47_47 = e2 % 35.08/10.42 | % 35.08/10.42 | Equations (302) can reduce 256 to: % 35.08/10.42 | (303) $false % 35.08/10.42 | % 35.08/10.42 |-The branch is then unsatisfiable % 35.08/10.42 |-Branch two: % 35.08/10.42 | (256) ~ (all_0_47_47 = e2) % 35.08/10.42 | (305) all_0_47_47 = e3 | all_0_47_47 = e0 % 35.08/10.42 | % 35.08/10.42 +-Applying beta-rule and splitting (305), into two cases. % 35.08/10.42 |-Branch one: % 35.08/10.42 | (306) all_0_47_47 = e0 % 35.08/10.42 | % 35.08/10.42 | Equations (306) can reduce 52 to: % 35.08/10.42 | (330) ~ (all_0_44_44 = e0) % 35.08/10.42 | % 35.08/10.42 | Equations (306) can reduce 142 to: % 35.08/10.42 | (5945) ~ (all_0_51_51 = e0) % 35.08/10.42 | % 35.08/10.42 | Simplifying 5945 yields: % 35.08/10.42 | (2347) ~ (all_0_51_51 = e0) % 35.08/10.42 | % 35.08/10.42 | Equations (306) can reduce 39 to: % 35.08/10.42 | (392) ~ (all_0_55_55 = e0) % 35.08/10.42 | % 35.08/10.42 | Simplifying 392 yields: % 35.08/10.42 | (93) ~ (all_0_55_55 = e0) % 35.08/10.42 | % 35.08/10.42 +-Applying beta-rule and splitting (56), into two cases. % 35.08/10.42 |-Branch one: % 35.08/10.42 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 35.08/10.42 | % 35.08/10.42 +-Applying beta-rule and splitting (480), into two cases. % 35.08/10.42 |-Branch one: % 35.08/10.42 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 35.08/10.42 | % 35.08/10.42 +-Applying beta-rule and splitting (481), into two cases. % 35.08/10.42 |-Branch one: % 35.08/10.42 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 35.08/10.42 | % 35.08/10.42 +-Applying beta-rule and splitting (482), into two cases. % 35.08/10.42 |-Branch one: % 35.08/10.42 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 35.08/10.42 | % 35.08/10.42 | Applying alpha-rule on (483) yields: % 35.08/10.42 | (484) ~ (unit = e4) % 35.08/10.42 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 35.08/10.42 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 35.08/10.42 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 35.08/10.42 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 35.08/10.42 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 35.08/10.42 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 35.08/10.42 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 35.08/10.42 | (492) ~ (all_0_55_55 = e4) % 35.08/10.42 | (493) all_0_45_45 = e3 % 35.08/10.42 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 35.08/10.42 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 35.08/10.42 | % 35.08/10.42 | Combining equations (951,493) yields a new equation: % 35.08/10.42 | (453) e3 = e2 % 35.08/10.42 | % 35.08/10.42 | Equations (453) can reduce 223 to: % 35.08/10.42 | (303) $false % 35.08/10.42 | % 35.08/10.42 |-The branch is then unsatisfiable % 35.08/10.42 |-Branch two: % 35.08/10.42 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 35.08/10.42 | % 35.08/10.42 | Applying alpha-rule on (499) yields: % 35.08/10.42 | (500) ~ (all_0_51_51 = e1) % 35.08/10.42 | (501) ~ (all_0_60_60 = e1) % 35.08/10.42 | (502) ~ (all_0_52_52 = e1) % 35.08/10.42 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 35.08/10.42 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 35.08/10.42 | (252) all_0_46_46 = e2 % 35.08/10.42 | (506) ~ (all_0_49_49 = e1) % 35.08/10.42 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 35.08/10.42 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 35.08/10.42 | (509) ~ (all_0_53_53 = e1) % 35.08/10.42 | (510) ~ (unit = e1) % 35.08/10.42 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 35.08/10.42 | (512) ~ (all_0_44_44 = e1) % 35.08/10.42 | % 35.08/10.42 | Combining equations (451,252) yields a new equation: % 35.08/10.42 | (452) e3 = e2 % 35.08/10.42 | % 35.08/10.42 | Simplifying 452 yields: % 35.08/10.42 | (453) e3 = e2 % 35.08/10.42 | % 35.08/10.42 | Equations (453) can reduce 223 to: % 35.08/10.42 | (303) $false % 35.08/10.42 | % 35.08/10.42 |-The branch is then unsatisfiable % 35.08/10.42 |-Branch two: % 35.08/10.42 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 35.08/10.42 | % 35.08/10.42 | Applying alpha-rule on (514) yields: % 35.08/10.42 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 35.08/10.42 | (516) ~ (all_0_47_47 = e3) % 35.08/10.42 | (314) ~ (all_0_55_55 = e3) % 35.08/10.42 | (368) all_0_49_49 = e2 % 35.08/10.42 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 35.08/10.42 | (520) ~ (unit = e3) % 35.08/10.42 | (521) ~ (all_0_52_52 = e3) % 35.08/10.42 | (455) ~ (all_0_46_46 = e3) % 35.08/10.42 | (432) ~ (all_0_40_40 = e3) % 35.08/10.42 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 35.08/10.42 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 35.08/10.42 | (526) ~ (all_0_56_56 = e3) % 35.08/10.42 | % 35.08/10.42 | Equations (451) can reduce 455 to: % 35.08/10.42 | (303) $false % 35.08/10.42 | % 35.08/10.42 |-The branch is then unsatisfiable % 35.08/10.42 |-Branch two: % 35.08/10.42 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 35.08/10.42 | % 35.08/10.42 | Applying alpha-rule on (528) yields: % 35.08/10.42 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 35.08/10.42 | (530) all_0_55_55 = e1 % 35.08/10.42 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 35.08/10.42 | (387) ~ (all_0_49_49 = e0) % 35.08/10.42 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 35.08/10.42 | (534) ~ (all_0_45_45 = e0) % 35.08/10.42 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 35.08/10.42 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 35.08/10.42 | (537) ~ (unit = e0) % 35.08/10.42 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 35.08/10.42 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 35.08/10.42 | % 35.08/10.42 | Equations (530) can reduce 59 to: % 35.08/10.42 | (512) ~ (all_0_44_44 = e1) % 35.08/10.42 | % 35.08/10.42 | Equations (530) can reduce 13 to: % 35.08/10.42 | (500) ~ (all_0_51_51 = e1) % 35.08/10.42 | % 35.08/10.42 | Equations (530) can reduce 131 to: % 35.08/10.42 | (509) ~ (all_0_53_53 = e1) % 35.08/10.42 | % 35.08/10.42 | Equations (530) can reduce 159 to: % 35.08/10.42 | (1050) ~ (all_0_60_60 = e1) % 35.08/10.42 | % 35.08/10.42 | Simplifying 1050 yields: % 35.08/10.42 | (501) ~ (all_0_60_60 = e1) % 35.08/10.42 | % 35.08/10.42 | Equations (530) can reduce 276 to: % 35.08/10.42 | (565) ~ (e2 = e1) % 35.08/10.42 | % 35.08/10.42 | Simplifying 565 yields: % 35.08/10.42 | (144) ~ (e2 = e1) % 35.08/10.42 | % 35.08/10.42 | Equations (530) can reduce 93 to: % 35.08/10.42 | (134) ~ (e1 = e0) % 35.08/10.42 | % 35.08/10.42 | From (530) and (155) follows: % 35.08/10.42 | (15517) op(e1, e1) = all_0_29_29 % 35.08/10.42 | % 35.08/10.42 +-Applying beta-rule and splitting (6), into two cases. % 35.08/10.42 |-Branch one: % 35.08/10.42 | (442) all_0_52_52 = e4 % 35.08/10.42 | % 35.08/10.42 | Equations (442) can reduce 149 to: % 35.08/10.42 | (2280) ~ (all_0_56_56 = e4) % 35.08/10.42 | % 35.08/10.42 | Simplifying 2280 yields: % 35.08/10.42 | (345) ~ (all_0_56_56 = e4) % 35.08/10.42 | % 35.08/10.42 | From (442) and (45) follows: % 35.08/10.42 | (2564) op(e4, e4) = all_0_24_24 % 35.08/10.42 | % 35.08/10.42 | From (442) and (156) follows: % 35.08/10.42 | (5920) op(e4, e1) = all_0_23_23 % 35.08/10.42 | % 35.08/10.42 | From (442) and (152) follows: % 35.08/10.42 | (649) op(e1, e4) = e4 % 35.08/10.42 | % 35.08/10.42 +-Applying beta-rule and splitting (67), into two cases. % 35.08/10.42 |-Branch one: % 35.08/10.42 | (380) all_0_48_48 = e0 % 35.08/10.42 | % 35.08/10.42 | Equations (380) can reduce 53 to: % 35.08/10.42 | (288) ~ (all_0_40_40 = e0) % 35.08/10.42 | % 35.08/10.42 | Equations (380) can reduce 58 to: % 35.08/10.42 | (8746) ~ (all_0_49_49 = e0) % 35.08/10.42 | % 35.08/10.42 | Simplifying 8746 yields: % 35.08/10.42 | (387) ~ (all_0_49_49 = e0) % 35.08/10.42 | % 35.08/10.42 | Equations (380) can reduce 127 to: % 35.08/10.42 | (5945) ~ (all_0_51_51 = e0) % 35.08/10.42 | % 35.08/10.42 | Simplifying 5945 yields: % 35.08/10.42 | (2347) ~ (all_0_51_51 = e0) % 35.08/10.42 | % 35.08/10.42 | Equations (380) can reduce 2 to: % 35.08/10.42 | (295) ~ (all_0_56_56 = e0) % 35.08/10.42 | % 35.08/10.42 | Simplifying 295 yields: % 35.08/10.42 | (296) ~ (all_0_56_56 = e0) % 35.08/10.42 | % 35.08/10.42 | From (380) and (187) follows: % 35.08/10.42 | (6396) op(e0, e4) = all_0_16_16 % 35.08/10.42 | % 35.08/10.42 | From (380) and (105) follows: % 35.08/10.42 | (9697) op(e2, e4) = e0 % 35.08/10.42 | % 35.08/10.42 +-Applying beta-rule and splitting (533), into two cases. % 35.08/10.42 |-Branch one: % 35.08/10.42 | (292) ~ (all_0_48_48 = e0) % 35.08/10.42 | % 35.08/10.42 | Equations (380) can reduce 292 to: % 35.08/10.42 | (303) $false % 35.08/10.42 | % 35.08/10.42 |-The branch is then unsatisfiable % 35.08/10.42 |-Branch two: % 35.08/10.42 | (380) all_0_48_48 = e0 % 35.08/10.42 | (1501) all_0_51_51 = e4 % 35.08/10.42 | % 35.08/10.42 | Equations (1501) can reduce 160 to: % 35.08/10.42 | (215) ~ (all_0_49_49 = e4) % 35.08/10.42 | % 35.08/10.42 | Equations (1501) can reduce 171 to: % 35.08/10.42 | (611) ~ (all_0_50_50 = e4) % 35.08/10.42 | % 35.08/10.42 | Equations (1501) can reduce 95 to: % 35.08/10.42 | (349) ~ (all_0_60_60 = e4) % 35.08/10.42 | % 35.08/10.42 | Simplifying 349 yields: % 35.08/10.42 | (350) ~ (all_0_60_60 = e4) % 35.08/10.42 | % 35.08/10.42 | Equations (1501) can reduce 500 to: % 35.08/10.42 | (247) ~ (e4 = e1) % 35.08/10.42 | % 35.08/10.42 | Equations (1501) can reduce 2347 to: % 35.08/10.42 | (4) ~ (e4 = e0) % 35.08/10.42 | % 35.08/10.42 | From (1501) and (122) follows: % 35.08/10.42 | (10153) op(e4, e2) = all_0_21_21 % 35.08/10.42 | % 35.08/10.42 +-Applying beta-rule and splitting (213), into two cases. % 35.08/10.42 |-Branch one: % 35.08/10.42 | (360) all_0_53_53 = e2 % 35.08/10.42 | % 35.08/10.42 | Equations (360) can reduce 274 to: % 35.08/10.42 | (303) $false % 35.08/10.42 | % 35.08/10.42 |-The branch is then unsatisfiable % 35.08/10.42 |-Branch two: % 35.08/10.42 | (274) ~ (all_0_53_53 = e2) % 35.08/10.42 | (363) all_0_53_53 = e3 | all_0_53_53 = e1 % 35.08/10.42 | % 35.08/10.42 +-Applying beta-rule and splitting (363), into two cases. % 35.08/10.42 |-Branch one: % 35.08/10.42 | (462) all_0_53_53 = e1 % 35.08/10.42 | % 35.08/10.42 | Equations (462) can reduce 509 to: % 35.08/10.42 | (303) $false % 35.08/10.42 | % 35.08/10.42 |-The branch is then unsatisfiable % 35.08/10.42 |-Branch two: % 35.08/10.42 | (509) ~ (all_0_53_53 = e1) % 35.08/10.42 | (994) all_0_53_53 = e3 % 35.08/10.42 | % 35.08/10.42 | Equations (994) can reduce 121 to: % 35.08/10.42 | (996) ~ (all_0_41_41 = e3) % 35.08/10.42 | % 35.08/10.43 | Equations (994) can reduce 7 to: % 35.08/10.43 | (218) ~ (all_0_49_49 = e3) % 35.08/10.43 | % 35.08/10.43 | Equations (994) can reduce 251 to: % 35.08/10.43 | (2589) ~ (all_0_57_57 = e3) % 35.08/10.43 | % 35.08/10.43 | Simplifying 2589 yields: % 35.08/10.43 | (2590) ~ (all_0_57_57 = e3) % 35.08/10.43 | % 35.08/10.43 | From (994) and (242) follows: % 35.08/10.43 | (2592) op(e3, e3) = all_0_26_26 % 35.08/10.43 | % 35.08/10.43 | From (994) and (224) follows: % 35.08/10.43 | (650) op(e1, e3) = e3 % 35.08/10.43 | % 35.08/10.43 | Instantiating formula (29) with e4, e4, all_0_24_24, all_0_40_40 and discharging atoms op(e4, e4) = all_0_24_24, op(e4, e4) = all_0_40_40, yields: % 35.08/10.43 | (2627) all_0_24_24 = all_0_40_40 % 35.08/10.43 | % 35.08/10.43 | Instantiating formula (29) with e4, e2, all_0_21_21, all_0_42_42 and discharging atoms op(e4, e2) = all_0_21_21, op(e4, e2) = all_0_42_42, yields: % 35.08/10.43 | (25564) all_0_21_21 = all_0_42_42 % 35.08/10.43 | % 35.08/10.43 | Instantiating formula (29) with e4, e1, all_0_23_23, all_0_43_43 and discharging atoms op(e4, e1) = all_0_23_23, op(e4, e1) = all_0_43_43, yields: % 35.08/10.43 | (25565) all_0_23_23 = all_0_43_43 % 35.08/10.43 | % 35.08/10.43 | Instantiating formula (29) with e3, e3, all_0_26_26, e4 and discharging atoms op(e3, e3) = all_0_26_26, op(e3, e3) = e4, yields: % 35.08/10.43 | (2620) all_0_26_26 = e4 % 35.08/10.43 | % 35.08/10.43 | Instantiating formula (29) with e2, e4, e0, all_0_10_10 and discharging atoms op(e2, e4) = all_0_10_10, op(e2, e4) = e0, yields: % 35.08/10.43 | (25567) all_0_10_10 = e0 % 35.08/10.43 | % 35.08/10.43 | Instantiating formula (29) with e1, e1, all_0_29_29, e0 and discharging atoms op(e1, e1) = all_0_29_29, op(e1, e1) = e0, yields: % 35.08/10.43 | (15604) all_0_29_29 = e0 % 35.08/10.43 | % 35.08/10.43 | Instantiating formula (29) with e0, e4, all_0_16_16, all_0_56_56 and discharging atoms op(e0, e4) = all_0_16_16, op(e0, e4) = all_0_56_56, yields: % 35.08/10.43 | (6399) all_0_16_16 = all_0_56_56 % 35.08/10.43 | % 35.08/10.43 | From (25564) and (10153) follows: % 35.08/10.43 | (148) op(e4, e2) = all_0_42_42 % 35.08/10.43 | % 35.08/10.43 | From (25565) and (5920) follows: % 35.08/10.43 | (19) op(e4, e1) = all_0_43_43 % 35.08/10.43 | % 35.08/10.43 | From (2620) and (2592) follows: % 35.08/10.43 | (22) op(e3, e3) = e4 % 35.08/10.43 | % 35.08/10.43 | From (25567) and (25440) follows: % 35.08/10.43 | (9697) op(e2, e4) = e0 % 35.08/10.43 | % 35.08/10.43 | From (15604) and (15517) follows: % 35.08/10.43 | (12) op(e1, e1) = e0 % 35.08/10.43 | % 35.08/10.43 | From (6399) and (6396) follows: % 35.08/10.43 | (132) op(e0, e4) = all_0_56_56 % 35.08/10.43 | % 35.08/10.43 +-Applying beta-rule and splitting (88), into two cases. % 35.08/10.43 |-Branch one: % 35.08/10.43 | (364) all_0_50_50 = e2 % 35.08/10.43 | % 35.08/10.43 | Equations (364) can reduce 238 to: % 35.08/10.43 | (253) ~ (all_0_43_43 = e2) % 35.08/10.43 | % 35.08/10.43 | Equations (364) can reduce 37 to: % 35.08/10.43 | (2167) ~ (all_0_49_49 = e2) % 35.08/10.43 | % 35.08/10.43 | Equations (364) can reduce 126 to: % 35.08/10.43 | (259) ~ (all_0_59_59 = e2) % 35.08/10.43 | % 35.08/10.43 | Simplifying 259 yields: % 35.08/10.43 | (260) ~ (all_0_59_59 = e2) % 35.08/10.43 | % 35.08/10.43 | Equations (364) can reduce 611 to: % 35.08/10.43 | (261) ~ (e4 = e2) % 35.08/10.43 | % 35.08/10.43 | Simplifying 261 yields: % 35.08/10.43 | (231) ~ (e4 = e2) % 35.08/10.43 | % 35.08/10.43 +-Applying beta-rule and splitting (228), into two cases. % 35.08/10.43 |-Branch one: % 35.08/10.43 | (748) all_0_48_48 = e1 % 35.08/10.43 | % 35.08/10.43 | Combining equations (380,748) yields a new equation: % 35.08/10.43 | (590) e1 = e0 % 35.08/10.43 | % 35.08/10.43 | Equations (590) can reduce 134 to: % 35.08/10.43 | (303) $false % 35.08/10.43 | % 35.08/10.43 |-The branch is then unsatisfiable % 35.08/10.43 |-Branch two: % 35.08/10.43 | (802) ~ (all_0_48_48 = e1) % 35.08/10.43 | (803) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 % 35.08/10.43 | % 35.08/10.43 +-Applying beta-rule and splitting (803), into two cases. % 35.08/10.43 |-Branch one: % 35.08/10.43 | (1580) all_0_49_49 = e1 % 35.08/10.43 | % 35.08/10.43 | Equations (1580) can reduce 218 to: % 35.08/10.43 | (465) ~ (e3 = e1) % 35.08/10.43 | % 35.08/10.43 | Simplifying 465 yields: % 35.08/10.43 | (136) ~ (e3 = e1) % 35.08/10.43 | % 35.08/10.43 | Equations (1580) can reduce 2167 to: % 35.08/10.43 | (565) ~ (e2 = e1) % 35.08/10.43 | % 35.08/10.43 | Simplifying 565 yields: % 35.08/10.43 | (144) ~ (e2 = e1) % 35.08/10.43 | % 35.08/10.43 +-Applying beta-rule and splitting (163), into two cases. % 35.08/10.43 |-Branch one: % 35.08/10.43 | (324) all_0_42_42 = e0 % 35.08/10.43 | % 35.08/10.43 | Equations (324) can reduce 55 to: % 35.08/10.43 | (326) ~ (all_0_41_41 = e0) % 35.08/10.43 | % 35.08/10.43 | Equations (324) can reduce 225 to: % 35.08/10.43 | (333) ~ (e3 = e0) % 35.08/10.43 | % 35.08/10.43 | Simplifying 333 yields: % 35.08/10.43 | (70) ~ (e3 = e0) % 35.08/10.43 | % 35.08/10.43 | Equations (324) can reduce 25 to: % 35.08/10.43 | (661) ~ (e1 = e0) % 35.08/10.43 | % 35.08/10.43 | Simplifying 661 yields: % 35.08/10.43 | (134) ~ (e1 = e0) % 35.08/10.43 | % 35.08/10.43 +-Applying beta-rule and splitting (180), into two cases. % 35.08/10.43 |-Branch one: % 35.08/10.43 | (945) all_0_41_41 = e2 % 35.08/10.43 | % 35.08/10.43 | Equations (945) can reduce 11 to: % 35.08/10.43 | (376) ~ (all_0_57_57 = e2) % 35.08/10.43 | % 35.08/10.43 | Simplifying 376 yields: % 35.08/10.43 | (377) ~ (all_0_57_57 = e2) % 35.08/10.43 | % 35.08/10.43 | Equations (945) can reduce 996 to: % 35.08/10.43 | (577) ~ (e3 = e2) % 35.08/10.43 | % 35.08/10.43 | Simplifying 577 yields: % 35.08/10.43 | (223) ~ (e3 = e2) % 35.08/10.43 | % 35.08/10.43 | Equations (945) can reduce 326 to: % 35.08/10.43 | (51) ~ (e2 = e0) % 35.08/10.43 | % 35.08/10.43 +-Applying beta-rule and splitting (244), into two cases. % 35.08/10.43 |-Branch one: % 35.08/10.43 | (340) all_0_58_58 = e2 % 35.08/10.43 | % 35.08/10.43 | Equations (340) can reduce 278 to: % 35.08/10.43 | (303) $false % 35.08/10.43 | % 35.08/10.43 |-The branch is then unsatisfiable % 35.08/10.43 |-Branch two: % 35.08/10.43 | (278) ~ (all_0_58_58 = e2) % 35.08/10.43 | (343) all_0_58_58 = e4 | all_0_58_58 = e0 % 35.08/10.43 | % 35.08/10.43 +-Applying beta-rule and splitting (250), into two cases. % 35.08/10.43 |-Branch one: % 35.08/10.43 | (897) all_0_57_57 = e2 % 35.08/10.43 | % 35.08/10.43 | Equations (897) can reduce 377 to: % 35.08/10.43 | (303) $false % 35.08/10.43 | % 35.08/10.43 |-The branch is then unsatisfiable % 35.08/10.43 |-Branch two: % 35.08/10.43 | (377) ~ (all_0_57_57 = e2) % 35.08/10.43 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 35.08/10.43 | % 35.08/10.43 +-Applying beta-rule and splitting (150), into two cases. % 35.08/10.43 |-Branch one: % 35.08/10.43 | (398) all_0_41_41 = e0 % 35.08/10.43 | % 35.08/10.43 | Combining equations (945,398) yields a new equation: % 35.08/10.43 | (403) e2 = e0 % 35.08/10.43 | % 35.08/10.43 | Simplifying 403 yields: % 35.08/10.43 | (385) e2 = e0 % 35.08/10.43 | % 35.08/10.43 | Equations (385) can reduce 51 to: % 35.08/10.43 | (303) $false % 35.08/10.43 | % 35.08/10.43 |-The branch is then unsatisfiable % 35.08/10.43 |-Branch two: % 35.08/10.43 | (326) ~ (all_0_41_41 = e0) % 35.08/10.43 | (401) all_0_49_49 = e0 | all_0_57_57 = e0 % 35.08/10.43 | % 35.08/10.43 +-Applying beta-rule and splitting (61), into two cases. % 35.08/10.43 |-Branch one: % 35.08/10.43 | (580) all_0_56_56 = e2 % 35.08/10.43 | % 35.08/10.43 | Equations (580) can reduce 594 to: % 35.08/10.43 | (303) $false % 35.08/10.43 | % 35.08/10.43 |-The branch is then unsatisfiable % 35.08/10.43 |-Branch two: % 35.08/10.43 | (594) ~ (all_0_56_56 = e2) % 35.08/10.43 | (896) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 35.08/10.43 | % 35.08/10.43 +-Applying beta-rule and splitting (896), into two cases. % 35.08/10.43 |-Branch one: % 35.08/10.43 | (897) all_0_57_57 = e2 % 35.08/10.43 | % 35.08/10.43 | Equations (897) can reduce 377 to: % 35.08/10.43 | (303) $false % 35.08/10.43 | % 35.08/10.43 |-The branch is then unsatisfiable % 35.08/10.43 |-Branch two: % 35.08/10.43 | (377) ~ (all_0_57_57 = e2) % 35.08/10.43 | (902) all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 35.08/10.43 | % 35.08/10.43 +-Applying beta-rule and splitting (902), into two cases. % 35.08/10.43 |-Branch one: % 35.08/10.43 | (340) all_0_58_58 = e2 % 35.08/10.43 | % 35.08/10.43 | Equations (340) can reduce 278 to: % 35.08/10.43 | (303) $false % 35.08/10.43 | % 35.08/10.43 |-The branch is then unsatisfiable % 35.08/10.43 |-Branch two: % 35.08/10.43 | (278) ~ (all_0_58_58 = e2) % 35.08/10.43 | (908) all_0_59_59 = e2 | all_0_60_60 = e2 % 35.08/10.43 | % 35.08/10.43 +-Applying beta-rule and splitting (908), into two cases. % 35.08/10.43 |-Branch one: % 35.08/10.43 | (909) all_0_59_59 = e2 % 35.08/10.43 | % 35.08/10.43 | Equations (909) can reduce 260 to: % 35.08/10.43 | (303) $false % 35.08/10.43 | % 35.08/10.43 |-The branch is then unsatisfiable % 35.08/10.43 |-Branch two: % 35.08/10.43 | (260) ~ (all_0_59_59 = e2) % 35.08/10.43 | (913) all_0_60_60 = e2 % 35.08/10.43 | % 35.08/10.43 | Equations (913) can reduce 165 to: % 35.08/10.43 | (915) ~ (all_0_44_44 = e2) % 35.08/10.43 | % 35.08/10.43 | Equations (913) can reduce 174 to: % 35.08/10.43 | (594) ~ (all_0_56_56 = e2) % 35.08/10.43 | % 35.08/10.43 +-Applying beta-rule and splitting (195), into two cases. % 35.08/10.43 |-Branch one: % 35.08/10.43 | (2081) all_0_44_44 = e3 % 35.08/10.43 | % 35.08/10.43 | Equations (2081) can reduce 915 to: % 35.08/10.43 | (223) ~ (e3 = e2) % 35.08/10.43 | % 35.08/10.43 +-Applying beta-rule and splitting (401), into two cases. % 35.08/10.43 |-Branch one: % 35.08/10.43 | (384) all_0_49_49 = e0 % 35.08/10.43 | % 35.08/10.43 | Combining equations (384,1580) yields a new equation: % 35.08/10.43 | (590) e1 = e0 % 35.08/10.43 | % 35.08/10.43 | Equations (590) can reduce 134 to: % 35.08/10.43 | (303) $false % 35.08/10.43 | % 35.08/10.43 |-The branch is then unsatisfiable % 35.08/10.43 |-Branch two: % 35.08/10.43 | (387) ~ (all_0_49_49 = e0) % 35.08/10.43 | (407) all_0_57_57 = e0 % 35.08/10.43 | % 35.08/10.43 | Equations (407) can reduce 2590 to: % 35.08/10.43 | (333) ~ (e3 = e0) % 35.08/10.43 | % 35.08/10.43 | Simplifying 333 yields: % 35.08/10.43 | (70) ~ (e3 = e0) % 35.08/10.43 | % 35.08/10.43 +-Applying beta-rule and splitting (209), into two cases. % 35.08/10.43 |-Branch one: % 35.08/10.43 | (1111) all_0_56_56 = e3 % 35.08/10.43 | % 35.08/10.43 | Equations (1111) can reduce 594 to: % 35.08/10.43 | (223) ~ (e3 = e2) % 35.08/10.43 | % 35.08/10.43 +-Applying beta-rule and splitting (536), into two cases. % 35.08/10.43 |-Branch one: % 35.08/10.43 | (3164) ~ (all_0_42_42 = e0) % 35.08/10.43 | % 35.08/10.43 | Equations (324) can reduce 3164 to: % 35.08/10.43 | (303) $false % 35.08/10.43 | % 35.08/10.43 |-The branch is then unsatisfiable % 35.08/10.43 |-Branch two: % 35.08/10.43 | (324) all_0_42_42 = e0 % 35.08/10.43 | (572) all_0_44_44 = e2 % 35.08/10.43 | % 35.08/10.43 | Combining equations (2081,572) yields a new equation: % 35.08/10.43 | (452) e3 = e2 % 35.08/10.43 | % 35.08/10.43 | Simplifying 452 yields: % 35.08/10.43 | (453) e3 = e2 % 35.08/10.43 | % 35.08/10.43 | Equations (453) can reduce 223 to: % 35.08/10.43 | (303) $false % 35.08/10.43 | % 35.08/10.43 |-The branch is then unsatisfiable % 35.08/10.43 |-Branch two: % 35.08/10.43 | (526) ~ (all_0_56_56 = e3) % 35.08/10.43 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 35.08/10.43 | % 35.08/10.43 +-Applying beta-rule and splitting (1491), into two cases. % 35.08/10.43 |-Branch one: % 35.08/10.43 | (1001) all_0_57_57 = e3 % 35.08/10.43 | % 35.08/10.43 | Combining equations (407,1001) yields a new equation: % 35.08/10.43 | (497) e3 = e0 % 35.08/10.43 | % 35.08/10.43 | Equations (497) can reduce 70 to: % 35.08/10.43 | (303) $false % 35.08/10.43 | % 35.08/10.43 |-The branch is then unsatisfiable % 35.08/10.43 |-Branch two: % 35.08/10.43 | (2590) ~ (all_0_57_57 = e3) % 35.08/10.43 | (2977) all_0_59_59 = e3 | all_0_60_60 = e3 % 35.08/10.43 | % 35.08/10.43 +-Applying beta-rule and splitting (2977), into two cases. % 35.08/10.43 |-Branch one: % 35.08/10.43 | (456) all_0_59_59 = e3 % 35.08/10.43 | % 35.08/10.43 | Equations (456) can reduce 1031 to: % 35.08/10.43 | (303) $false % 35.08/10.43 | % 35.08/10.43 |-The branch is then unsatisfiable % 35.08/10.43 |-Branch two: % 35.08/10.43 | (1031) ~ (all_0_59_59 = e3) % 35.08/10.43 | (1937) all_0_60_60 = e3 % 35.08/10.43 | % 35.08/10.43 | Combining equations (1937,913) yields a new equation: % 35.08/10.43 | (452) e3 = e2 % 35.08/10.43 | % 35.08/10.43 | Simplifying 452 yields: % 35.08/10.43 | (453) e3 = e2 % 35.08/10.43 | % 35.08/10.43 | Equations (453) can reduce 223 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (310) ~ (all_0_44_44 = e3) % 35.08/10.44 | (7006) all_0_47_47 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (7006), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (309) all_0_47_47 = e3 % 35.08/10.44 | % 35.08/10.44 | Combining equations (306,309) yields a new equation: % 35.08/10.44 | (497) e3 = e0 % 35.08/10.44 | % 35.08/10.44 | Equations (497) can reduce 70 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (516) ~ (all_0_47_47 = e3) % 35.08/10.44 | (7012) all_0_55_55 = e3 | all_0_60_60 = e3 % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (7012), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (2165) all_0_55_55 = e3 % 35.08/10.44 | % 35.08/10.44 | Combining equations (530,2165) yields a new equation: % 35.08/10.44 | (601) e3 = e1 % 35.08/10.44 | % 35.08/10.44 | Equations (601) can reduce 136 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (314) ~ (all_0_55_55 = e3) % 35.08/10.44 | (1937) all_0_60_60 = e3 % 35.08/10.44 | % 35.08/10.44 | Combining equations (1937,913) yields a new equation: % 35.08/10.44 | (452) e3 = e2 % 35.08/10.44 | % 35.08/10.44 | Simplifying 452 yields: % 35.08/10.44 | (453) e3 = e2 % 35.08/10.44 | % 35.08/10.44 | Equations (453) can reduce 223 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (369) ~ (all_0_41_41 = e2) % 35.08/10.44 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (244), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (340) all_0_58_58 = e2 % 35.08/10.44 | % 35.08/10.44 | Equations (340) can reduce 278 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (278) ~ (all_0_58_58 = e2) % 35.08/10.44 | (343) all_0_58_58 = e4 | all_0_58_58 = e0 % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (150), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (398) all_0_41_41 = e0 % 35.08/10.44 | % 35.08/10.44 | Equations (398) can reduce 326 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (326) ~ (all_0_41_41 = e0) % 35.08/10.44 | (401) all_0_49_49 = e0 | all_0_57_57 = e0 % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (197), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (3175) all_0_42_42 = e4 % 35.08/10.44 | % 35.08/10.44 | Combining equations (324,3175) yields a new equation: % 35.08/10.44 | (654) e4 = e0 % 35.08/10.44 | % 35.08/10.44 | Equations (654) can reduce 4 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (6245) ~ (all_0_42_42 = e4) % 35.08/10.44 | (6246) all_0_54_54 = e4 | all_0_58_58 = e4 % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (6246), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (469) all_0_54_54 = e4 % 35.08/10.44 | % 35.08/10.44 | Combining equations (271,469) yields a new equation: % 35.08/10.44 | (470) e4 = e2 % 35.08/10.44 | % 35.08/10.44 | Equations (470) can reduce 231 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (472) ~ (all_0_54_54 = e4) % 35.08/10.44 | (344) all_0_58_58 = e4 % 35.08/10.44 | % 35.08/10.44 | Equations (344) can reduce 71 to: % 35.08/10.44 | (345) ~ (all_0_56_56 = e4) % 35.08/10.44 | % 35.08/10.44 | Equations (344) can reduce 23 to: % 35.08/10.44 | (347) ~ (all_0_59_59 = e4) % 35.08/10.44 | % 35.08/10.44 | Simplifying 347 yields: % 35.08/10.44 | (348) ~ (all_0_59_59 = e4) % 35.08/10.44 | % 35.08/10.44 | Equations (344) can reduce 278 to: % 35.08/10.44 | (231) ~ (e4 = e2) % 35.08/10.44 | % 35.08/10.44 | Equations (344) can reduce 31 to: % 35.08/10.44 | (247) ~ (e4 = e1) % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (139), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (614) all_0_43_43 = e4 % 35.08/10.44 | % 35.08/10.44 | Equations (614) can reduce 249 to: % 35.08/10.44 | (347) ~ (all_0_59_59 = e4) % 35.08/10.44 | % 35.08/10.44 | Simplifying 347 yields: % 35.08/10.44 | (348) ~ (all_0_59_59 = e4) % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (100), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (618) all_0_43_43 = e1 % 35.08/10.44 | % 35.08/10.44 | Combining equations (614,618) yields a new equation: % 35.08/10.44 | (540) e4 = e1 % 35.08/10.44 | % 35.08/10.44 | Simplifying 540 yields: % 35.08/10.44 | (541) e4 = e1 % 35.08/10.44 | % 35.08/10.44 | Equations (541) can reduce 247 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (622) ~ (all_0_43_43 = e1) % 35.08/10.44 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (623), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (627) all_0_50_50 = e1 % 35.08/10.44 | % 35.08/10.44 | Combining equations (364,627) yields a new equation: % 35.08/10.44 | (584) e2 = e1 % 35.08/10.44 | % 35.08/10.44 | Simplifying 584 yields: % 35.08/10.44 | (585) e2 = e1 % 35.08/10.44 | % 35.08/10.44 | Equations (585) can reduce 144 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (678) ~ (all_0_50_50 = e1) % 35.08/10.44 | (600) all_0_59_59 = e1 % 35.08/10.44 | % 35.08/10.44 | Equations (600) can reduce 42 to: % 35.08/10.44 | (587) ~ (all_0_56_56 = e1) % 35.08/10.44 | % 35.08/10.44 | Equations (600) can reduce 348 to: % 35.08/10.44 | (605) ~ (e4 = e1) % 35.08/10.44 | % 35.08/10.44 | Simplifying 605 yields: % 35.08/10.44 | (247) ~ (e4 = e1) % 35.08/10.44 | % 35.08/10.44 | Equations (600) can reduce 216 to: % 35.08/10.44 | (134) ~ (e1 = e0) % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (175), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (624) all_0_40_40 = e1 % 35.08/10.44 | % 35.08/10.44 | Equations (624) can reduce 151 to: % 35.08/10.44 | (25729) ~ (all_0_41_41 = e1) % 35.08/10.44 | % 35.08/10.44 | Simplifying 25729 yields: % 35.08/10.44 | (699) ~ (all_0_41_41 = e1) % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (1017), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (696) all_0_41_41 = e1 % 35.08/10.44 | % 35.08/10.44 | Equations (696) can reduce 699 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (699) ~ (all_0_41_41 = e1) % 35.08/10.44 | (2158) all_0_41_41 = e3 | all_0_41_41 = e0 % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (2158), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (398) all_0_41_41 = e0 % 35.08/10.44 | % 35.08/10.44 | Equations (398) can reduce 326 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (326) ~ (all_0_41_41 = e0) % 35.08/10.44 | (431) all_0_41_41 = e3 % 35.08/10.44 | % 35.08/10.44 | Equations (431) can reduce 996 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (683) ~ (all_0_40_40 = e1) % 35.08/10.44 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (141), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (580) all_0_56_56 = e2 % 35.08/10.44 | % 35.08/10.44 | Equations (580) can reduce 594 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (594) ~ (all_0_56_56 = e2) % 35.08/10.44 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (979), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (877) all_0_56_56 = e4 % 35.08/10.44 | % 35.08/10.44 | Equations (877) can reduce 345 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (345) ~ (all_0_56_56 = e4) % 35.08/10.44 | (2325) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (2325), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (583) all_0_56_56 = e1 % 35.08/10.44 | % 35.08/10.44 | Equations (583) can reduce 587 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (587) ~ (all_0_56_56 = e1) % 35.08/10.44 | (2329) all_0_56_56 = e3 | all_0_56_56 = e0 % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (2329), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (2307) all_0_56_56 = e0 % 35.08/10.44 | % 35.08/10.44 | Equations (2307) can reduce 296 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (296) ~ (all_0_56_56 = e0) % 35.08/10.44 | (1111) all_0_56_56 = e3 % 35.08/10.44 | % 35.08/10.44 | Equations (1111) can reduce 587 to: % 35.08/10.44 | (136) ~ (e3 = e1) % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (684), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (748) all_0_48_48 = e1 % 35.08/10.44 | % 35.08/10.44 | Combining equations (380,748) yields a new equation: % 35.08/10.44 | (590) e1 = e0 % 35.08/10.44 | % 35.08/10.44 | Equations (590) can reduce 134 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (802) ~ (all_0_48_48 = e1) % 35.08/10.44 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (807), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (1070) all_0_52_52 = e1 % 35.08/10.44 | % 35.08/10.44 | Combining equations (442,1070) yields a new equation: % 35.08/10.44 | (540) e4 = e1 % 35.08/10.44 | % 35.08/10.44 | Simplifying 540 yields: % 35.08/10.44 | (541) e4 = e1 % 35.08/10.44 | % 35.08/10.44 | Equations (541) can reduce 247 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (502) ~ (all_0_52_52 = e1) % 35.08/10.44 | (583) all_0_56_56 = e1 % 35.08/10.44 | % 35.08/10.44 | Combining equations (1111,583) yields a new equation: % 35.08/10.44 | (680) e3 = e1 % 35.08/10.44 | % 35.08/10.44 | Simplifying 680 yields: % 35.08/10.44 | (601) e3 = e1 % 35.08/10.44 | % 35.08/10.44 | Equations (601) can reduce 136 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (712) ~ (all_0_43_43 = e4) % 35.08/10.44 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (713), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (714) all_0_50_50 = e4 % 35.08/10.44 | % 35.08/10.44 | Combining equations (364,714) yields a new equation: % 35.08/10.44 | (470) e4 = e2 % 35.08/10.44 | % 35.08/10.44 | Equations (470) can reduce 231 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (611) ~ (all_0_50_50 = e4) % 35.08/10.44 | (717) all_0_59_59 = e4 % 35.08/10.44 | % 35.08/10.44 | Equations (717) can reduce 348 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (3164) ~ (all_0_42_42 = e0) % 35.08/10.44 | (989) all_0_58_58 = e0 % 35.08/10.44 | % 35.08/10.44 | Equations (989) can reduce 60 to: % 35.08/10.44 | (3164) ~ (all_0_42_42 = e0) % 35.08/10.44 | % 35.08/10.44 | Equations (989) can reduce 9 to: % 35.08/10.44 | (413) ~ (all_0_60_60 = e0) % 35.08/10.44 | % 35.08/10.44 | Simplifying 413 yields: % 35.08/10.44 | (414) ~ (all_0_60_60 = e0) % 35.08/10.44 | % 35.08/10.44 | Equations (989) can reduce 278 to: % 35.08/10.44 | (335) ~ (e2 = e0) % 35.08/10.44 | % 35.08/10.44 | Simplifying 335 yields: % 35.08/10.44 | (51) ~ (e2 = e0) % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (63), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (2834) all_0_40_40 = e0 % 35.08/10.44 | % 35.08/10.44 | Equations (2834) can reduce 288 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (288) ~ (all_0_40_40 = e0) % 35.08/10.44 | (5766) all_0_41_41 = e0 | all_0_42_42 = e0 | all_0_44_44 = e0 % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (5766), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (398) all_0_41_41 = e0 % 35.08/10.44 | % 35.08/10.44 | Equations (398) can reduce 192 to: % 35.08/10.44 | (297) ~ (e4 = e0) % 35.08/10.44 | % 35.08/10.44 | Simplifying 297 yields: % 35.08/10.44 | (4) ~ (e4 = e0) % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (538), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (326) ~ (all_0_41_41 = e0) % 35.08/10.44 | % 35.08/10.44 | Equations (398) can reduce 326 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (398) all_0_41_41 = e0 % 35.08/10.44 | (2081) all_0_44_44 = e3 % 35.08/10.44 | % 35.08/10.44 | Equations (2081) can reduce 82 to: % 35.08/10.44 | (434) ~ (all_0_43_43 = e3) % 35.08/10.44 | % 35.08/10.44 | Equations (2081) can reduce 165 to: % 35.08/10.44 | (315) ~ (all_0_60_60 = e3) % 35.08/10.44 | % 35.08/10.44 | Simplifying 315 yields: % 35.08/10.44 | (316) ~ (all_0_60_60 = e3) % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (250), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (897) all_0_57_57 = e2 % 35.08/10.44 | % 35.08/10.44 | Equations (897) can reduce 81 to: % 35.08/10.44 | (573) ~ (all_0_60_60 = e2) % 35.08/10.44 | % 35.08/10.44 | Simplifying 573 yields: % 35.08/10.44 | (571) ~ (all_0_60_60 = e2) % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (220), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (913) all_0_60_60 = e2 % 35.08/10.44 | % 35.08/10.44 | Equations (913) can reduce 571 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (571) ~ (all_0_60_60 = e2) % 35.08/10.44 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (531), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (332) ~ (all_0_58_58 = e0) % 35.08/10.44 | % 35.08/10.44 | Equations (989) can reduce 332 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (989) all_0_58_58 = e0 % 35.08/10.44 | (913) all_0_60_60 = e2 % 35.08/10.44 | % 35.08/10.44 | Equations (913) can reduce 571 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (377) ~ (all_0_57_57 = e2) % 35.08/10.44 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 35.08/10.44 | % 35.08/10.44 +-Applying beta-rule and splitting (104), into two cases. % 35.08/10.44 |-Branch one: % 35.08/10.44 | (945) all_0_41_41 = e2 % 35.08/10.44 | % 35.08/10.44 | Combining equations (398,945) yields a new equation: % 35.08/10.44 | (385) e2 = e0 % 35.08/10.44 | % 35.08/10.44 | Equations (385) can reduce 51 to: % 35.08/10.44 | (303) $false % 35.08/10.44 | % 35.08/10.44 |-The branch is then unsatisfiable % 35.08/10.44 |-Branch two: % 35.08/10.44 | (369) ~ (all_0_41_41 = e2) % 35.08/10.44 | (2863) all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_57_57 = e2 % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (209), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (1111) all_0_56_56 = e3 % 35.08/10.45 | % 35.08/10.45 | Equations (1111) can reduce 594 to: % 35.08/10.45 | (223) ~ (e3 = e2) % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (197), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (3175) all_0_42_42 = e4 % 35.08/10.45 | % 35.08/10.45 | Equations (3175) can reduce 119 to: % 35.08/10.45 | (724) ~ (all_0_43_43 = e4) % 35.08/10.45 | % 35.08/10.45 | Simplifying 724 yields: % 35.08/10.45 | (712) ~ (all_0_43_43 = e4) % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (139), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (614) all_0_43_43 = e4 % 35.08/10.45 | % 35.08/10.45 | Equations (614) can reduce 712 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (712) ~ (all_0_43_43 = e4) % 35.08/10.45 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (191), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (965) all_0_43_43 = e2 % 35.08/10.45 | % 35.08/10.45 | Equations (965) can reduce 253 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (253) ~ (all_0_43_43 = e2) % 35.08/10.45 | (1634) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e1 % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (1634), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (614) all_0_43_43 = e4 % 35.08/10.45 | % 35.08/10.45 | Equations (614) can reduce 712 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (712) ~ (all_0_43_43 = e4) % 35.08/10.45 | (2084) all_0_43_43 = e3 | all_0_43_43 = e1 % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (2084), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (618) all_0_43_43 = e1 % 35.08/10.45 | % 35.08/10.45 | Equations (618) can reduce 253 to: % 35.08/10.45 | (565) ~ (e2 = e1) % 35.08/10.45 | % 35.08/10.45 | Simplifying 565 yields: % 35.08/10.45 | (144) ~ (e2 = e1) % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (112), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (572) all_0_44_44 = e2 % 35.08/10.45 | % 35.08/10.45 | Combining equations (2081,572) yields a new equation: % 35.08/10.45 | (452) e3 = e2 % 35.08/10.45 | % 35.08/10.45 | Simplifying 452 yields: % 35.08/10.45 | (453) e3 = e2 % 35.08/10.45 | % 35.08/10.45 | Equations (453) can reduce 223 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (915) ~ (all_0_44_44 = e2) % 35.08/10.45 | (916) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 35.08/10.45 | % 35.08/10.45 | Equations (2081) can reduce 915 to: % 35.08/10.45 | (223) ~ (e3 = e2) % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (2863), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (368) all_0_49_49 = e2 % 35.08/10.45 | % 35.08/10.45 | Combining equations (368,1580) yields a new equation: % 35.08/10.45 | (584) e2 = e1 % 35.08/10.45 | % 35.08/10.45 | Simplifying 584 yields: % 35.08/10.45 | (585) e2 = e1 % 35.08/10.45 | % 35.08/10.45 | Equations (585) can reduce 144 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (2167) ~ (all_0_49_49 = e2) % 35.08/10.45 | (5846) all_0_53_53 = e2 | all_0_57_57 = e2 % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (5846), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (360) all_0_53_53 = e2 % 35.08/10.45 | % 35.08/10.45 | Combining equations (994,360) yields a new equation: % 35.08/10.45 | (452) e3 = e2 % 35.08/10.45 | % 35.08/10.45 | Simplifying 452 yields: % 35.08/10.45 | (453) e3 = e2 % 35.08/10.45 | % 35.08/10.45 | Equations (453) can reduce 223 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (274) ~ (all_0_53_53 = e2) % 35.08/10.45 | (897) all_0_57_57 = e2 % 35.08/10.45 | % 35.08/10.45 | Equations (897) can reduce 377 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (622) ~ (all_0_43_43 = e1) % 35.08/10.45 | (447) all_0_43_43 = e3 % 35.08/10.45 | % 35.08/10.45 | Equations (447) can reduce 434 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (6245) ~ (all_0_42_42 = e4) % 35.08/10.45 | (6246) all_0_54_54 = e4 | all_0_58_58 = e4 % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (6246), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (469) all_0_54_54 = e4 % 35.08/10.45 | % 35.08/10.45 | Combining equations (271,469) yields a new equation: % 35.08/10.45 | (470) e4 = e2 % 35.08/10.45 | % 35.08/10.45 | Equations (470) can reduce 231 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (472) ~ (all_0_54_54 = e4) % 35.08/10.45 | (344) all_0_58_58 = e4 % 35.08/10.45 | % 35.08/10.45 | Combining equations (344,989) yields a new equation: % 35.08/10.45 | (1573) e4 = e0 % 35.08/10.45 | % 35.08/10.45 | Simplifying 1573 yields: % 35.08/10.45 | (654) e4 = e0 % 35.08/10.45 | % 35.08/10.45 | Equations (654) can reduce 4 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (526) ~ (all_0_56_56 = e3) % 35.08/10.45 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (220), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (913) all_0_60_60 = e2 % 35.08/10.45 | % 35.08/10.45 | Equations (913) can reduce 316 to: % 35.08/10.45 | (577) ~ (e3 = e2) % 35.08/10.45 | % 35.08/10.45 | Simplifying 577 yields: % 35.08/10.45 | (223) ~ (e3 = e2) % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (1491), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (1001) all_0_57_57 = e3 % 35.08/10.45 | % 35.08/10.45 | Equations (1001) can reduce 2590 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (2590) ~ (all_0_57_57 = e3) % 35.08/10.45 | (2977) all_0_59_59 = e3 | all_0_60_60 = e3 % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (2977), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (456) all_0_59_59 = e3 % 35.08/10.45 | % 35.08/10.45 | Equations (456) can reduce 1031 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (1031) ~ (all_0_59_59 = e3) % 35.08/10.45 | (1937) all_0_60_60 = e3 % 35.08/10.45 | % 35.08/10.45 | Combining equations (1937,913) yields a new equation: % 35.08/10.45 | (452) e3 = e2 % 35.08/10.45 | % 35.08/10.45 | Simplifying 452 yields: % 35.08/10.45 | (453) e3 = e2 % 35.08/10.45 | % 35.08/10.45 | Equations (453) can reduce 223 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (571) ~ (all_0_60_60 = e2) % 35.08/10.45 | (1275) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (1275), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (1510) all_0_60_60 = e4 % 35.08/10.45 | % 35.08/10.45 | Equations (1510) can reduce 350 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (350) ~ (all_0_60_60 = e4) % 35.08/10.45 | (1906) all_0_60_60 = e3 | all_0_60_60 = e1 | all_0_60_60 = e0 % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (1906), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (604) all_0_60_60 = e1 % 35.08/10.45 | % 35.08/10.45 | Equations (604) can reduce 501 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (501) ~ (all_0_60_60 = e1) % 35.08/10.45 | (1933) all_0_60_60 = e3 | all_0_60_60 = e0 % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (1933), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (1934) all_0_60_60 = e0 % 35.08/10.45 | % 35.08/10.45 | Equations (1934) can reduce 414 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (414) ~ (all_0_60_60 = e0) % 35.08/10.45 | (1937) all_0_60_60 = e3 % 35.08/10.45 | % 35.08/10.45 | Equations (1937) can reduce 316 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (326) ~ (all_0_41_41 = e0) % 35.08/10.45 | (5772) all_0_42_42 = e0 | all_0_44_44 = e0 % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (5772), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (324) all_0_42_42 = e0 % 35.08/10.45 | % 35.08/10.45 | Equations (324) can reduce 3164 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (3164) ~ (all_0_42_42 = e0) % 35.08/10.45 | (2078) all_0_44_44 = e0 % 35.08/10.45 | % 35.08/10.45 | Equations (2078) can reduce 330 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (506) ~ (all_0_49_49 = e1) % 35.08/10.45 | (1585) all_0_50_50 = e1 | all_0_51_51 = e1 % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (1585), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (627) all_0_50_50 = e1 % 35.08/10.45 | % 35.08/10.45 | Combining equations (364,627) yields a new equation: % 35.08/10.45 | (584) e2 = e1 % 35.08/10.45 | % 35.08/10.45 | Simplifying 584 yields: % 35.08/10.45 | (585) e2 = e1 % 35.08/10.45 | % 35.08/10.45 | Equations (585) can reduce 144 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (678) ~ (all_0_50_50 = e1) % 35.08/10.45 | (1590) all_0_51_51 = e1 % 35.08/10.45 | % 35.08/10.45 | Combining equations (1590,1501) yields a new equation: % 35.08/10.45 | (541) e4 = e1 % 35.08/10.45 | % 35.08/10.45 | Equations (541) can reduce 247 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (258) ~ (all_0_50_50 = e2) % 35.08/10.45 | (367) all_0_50_50 = e4 | all_0_50_50 = e1 % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (367), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (714) all_0_50_50 = e4 % 35.08/10.45 | % 35.08/10.45 | Equations (714) can reduce 611 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (611) ~ (all_0_50_50 = e4) % 35.08/10.45 | (627) all_0_50_50 = e1 % 35.08/10.45 | % 35.08/10.45 | Equations (627) can reduce 238 to: % 35.08/10.45 | (622) ~ (all_0_43_43 = e1) % 35.08/10.45 | % 35.08/10.45 | Equations (627) can reduce 37 to: % 35.08/10.45 | (506) ~ (all_0_49_49 = e1) % 35.08/10.45 | % 35.08/10.45 | Equations (627) can reduce 126 to: % 35.08/10.45 | (3274) ~ (all_0_59_59 = e1) % 35.08/10.45 | % 35.08/10.45 | Simplifying 3274 yields: % 35.08/10.45 | (603) ~ (all_0_59_59 = e1) % 35.08/10.45 | % 35.08/10.45 | Equations (627) can reduce 15 to: % 35.08/10.45 | (465) ~ (e3 = e1) % 35.08/10.45 | % 35.08/10.45 | Simplifying 465 yields: % 35.08/10.45 | (136) ~ (e3 = e1) % 35.08/10.45 | % 35.08/10.45 | From (627) and (110) follows: % 35.08/10.45 | (3278) op(e1, e1) = all_0_20_20 % 35.08/10.45 | % 35.08/10.45 | From (627) and (186) follows: % 35.08/10.45 | (1166) op(e2, e1) = e1 % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (114), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (368) all_0_49_49 = e2 % 35.08/10.45 | % 35.08/10.45 | Equations (368) can reduce 177 to: % 35.08/10.45 | (369) ~ (all_0_41_41 = e2) % 35.08/10.45 | % 35.08/10.45 | Equations (368) can reduce 226 to: % 35.08/10.45 | (376) ~ (all_0_57_57 = e2) % 35.08/10.45 | % 35.08/10.45 | Simplifying 376 yields: % 35.08/10.45 | (377) ~ (all_0_57_57 = e2) % 35.08/10.45 | % 35.08/10.45 | Equations (368) can reduce 215 to: % 35.08/10.45 | (261) ~ (e4 = e2) % 35.08/10.45 | % 35.08/10.45 | Simplifying 261 yields: % 35.08/10.45 | (231) ~ (e4 = e2) % 35.08/10.45 | % 35.08/10.45 | Equations (368) can reduce 218 to: % 35.08/10.45 | (577) ~ (e3 = e2) % 35.08/10.45 | % 35.08/10.45 | Simplifying 577 yields: % 35.08/10.45 | (223) ~ (e3 = e2) % 35.08/10.45 | % 35.08/10.45 | Equations (368) can reduce 506 to: % 35.08/10.45 | (144) ~ (e2 = e1) % 35.08/10.45 | % 35.08/10.45 | From (368) and (113) follows: % 35.08/10.45 | (3212) op(e2, e2) = all_0_17_17 % 35.08/10.45 | % 35.08/10.45 | Instantiating formula (29) with e2, e2, all_0_17_17, e3 and discharging atoms op(e2, e2) = all_0_17_17, op(e2, e2) = e3, yields: % 35.08/10.45 | (3246) all_0_17_17 = e3 % 35.08/10.45 | % 35.08/10.45 | Instantiating formula (29) with e1, e1, all_0_20_20, e0 and discharging atoms op(e1, e1) = all_0_20_20, op(e1, e1) = e0, yields: % 35.08/10.45 | (3327) all_0_20_20 = e0 % 35.08/10.45 | % 35.08/10.45 | From (3246) and (3212) follows: % 35.08/10.45 | (83) op(e2, e2) = e3 % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (163), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (324) all_0_42_42 = e0 % 35.08/10.45 | % 35.08/10.45 | Equations (324) can reduce 115 to: % 35.08/10.45 | (288) ~ (all_0_40_40 = e0) % 35.08/10.45 | % 35.08/10.45 | Equations (324) can reduce 55 to: % 35.08/10.45 | (326) ~ (all_0_41_41 = e0) % 35.08/10.45 | % 35.08/10.45 | Equations (324) can reduce 119 to: % 35.08/10.45 | (327) ~ (all_0_43_43 = e0) % 35.08/10.45 | % 35.08/10.45 | Simplifying 327 yields: % 35.08/10.45 | (117) ~ (all_0_43_43 = e0) % 35.08/10.45 | % 35.08/10.45 | Equations (324) can reduce 272 to: % 35.08/10.45 | (335) ~ (e2 = e0) % 35.08/10.45 | % 35.08/10.45 | Simplifying 335 yields: % 35.08/10.45 | (51) ~ (e2 = e0) % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (150), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (398) all_0_41_41 = e0 % 35.08/10.45 | % 35.08/10.45 | Equations (398) can reduce 326 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (326) ~ (all_0_41_41 = e0) % 35.08/10.45 | (401) all_0_49_49 = e0 | all_0_57_57 = e0 % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (401), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (384) all_0_49_49 = e0 % 35.08/10.45 | % 35.08/10.45 | Combining equations (368,384) yields a new equation: % 35.08/10.45 | (403) e2 = e0 % 35.08/10.45 | % 35.08/10.45 | Simplifying 403 yields: % 35.08/10.45 | (385) e2 = e0 % 35.08/10.45 | % 35.08/10.45 | Equations (385) can reduce 51 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (387) ~ (all_0_49_49 = e0) % 35.08/10.45 | (407) all_0_57_57 = e0 % 35.08/10.45 | % 35.08/10.45 | Equations (407) can reduce 11 to: % 35.08/10.45 | (326) ~ (all_0_41_41 = e0) % 35.08/10.45 | % 35.08/10.45 | Equations (407) can reduce 172 to: % 35.08/10.45 | (296) ~ (all_0_56_56 = e0) % 35.08/10.45 | % 35.08/10.45 | Equations (407) can reduce 178 to: % 35.08/10.45 | (331) ~ (all_0_58_58 = e0) % 35.08/10.45 | % 35.08/10.45 | Simplifying 331 yields: % 35.08/10.45 | (332) ~ (all_0_58_58 = e0) % 35.08/10.45 | % 35.08/10.45 | Equations (407) can reduce 222 to: % 35.08/10.45 | (411) ~ (all_0_59_59 = e0) % 35.08/10.45 | % 35.08/10.45 | Simplifying 411 yields: % 35.08/10.45 | (216) ~ (all_0_59_59 = e0) % 35.08/10.45 | % 35.08/10.45 | Equations (407) can reduce 81 to: % 35.08/10.45 | (413) ~ (all_0_60_60 = e0) % 35.08/10.45 | % 35.08/10.45 | Simplifying 413 yields: % 35.08/10.45 | (414) ~ (all_0_60_60 = e0) % 35.08/10.45 | % 35.08/10.45 | Equations (407) can reduce 377 to: % 35.08/10.45 | (335) ~ (e2 = e0) % 35.08/10.45 | % 35.08/10.45 | Simplifying 335 yields: % 35.08/10.45 | (51) ~ (e2 = e0) % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (244), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (340) all_0_58_58 = e2 % 35.08/10.45 | % 35.08/10.45 | Equations (340) can reduce 278 to: % 35.08/10.45 | (303) $false % 35.08/10.45 | % 35.08/10.45 |-The branch is then unsatisfiable % 35.08/10.45 |-Branch two: % 35.08/10.45 | (278) ~ (all_0_58_58 = e2) % 35.08/10.45 | (343) all_0_58_58 = e4 | all_0_58_58 = e0 % 35.08/10.45 | % 35.08/10.45 +-Applying beta-rule and splitting (221), into two cases. % 35.08/10.45 |-Branch one: % 35.08/10.45 | (696) all_0_41_41 = e1 % 35.08/10.45 | % 35.08/10.45 | Equations (696) can reduce 151 to: % 35.08/10.45 | (683) ~ (all_0_40_40 = e1) % 35.08/10.45 | % 35.08/10.45 | Equations (696) can reduce 43 to: % 35.08/10.45 | (1020) ~ (all_0_43_43 = e1) % 35.08/10.45 | % 35.08/10.45 | Simplifying 1020 yields: % 35.08/10.45 | (622) ~ (all_0_43_43 = e1) % 35.08/10.45 | % 35.08/10.45 | Equations (696) can reduce 369 to: % 35.08/10.45 | (565) ~ (e2 = e1) % 35.08/10.45 | % 35.08/10.45 | Simplifying 565 yields: % 35.08/10.45 | (144) ~ (e2 = e1) % 35.08/10.45 | % 35.08/10.45 | Equations (696) can reduce 326 to: % 35.08/10.45 | (134) ~ (e1 = e0) % 35.08/10.45 | % 35.08/10.45 | From (696) and (211) follows: % 35.08/10.45 | (6426) op(e1, e4) = all_0_1_1 % 35.08/10.45 | % 35.08/10.45 | From (696) and (26) follows: % 35.08/10.46 | (13268) op(e1, e3) = all_0_2_2 % 35.08/10.46 | % 35.08/10.46 +-Applying beta-rule and splitting (175), into two cases. % 35.08/10.46 |-Branch one: % 35.08/10.46 | (624) all_0_40_40 = e1 % 35.08/10.46 | % 35.08/10.46 | Equations (624) can reduce 683 to: % 35.08/10.46 | (303) $false % 35.08/10.46 | % 35.08/10.46 |-The branch is then unsatisfiable % 35.08/10.46 |-Branch two: % 35.08/10.46 | (683) ~ (all_0_40_40 = e1) % 35.08/10.46 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 35.08/10.46 | % 35.08/10.46 +-Applying beta-rule and splitting (343), into two cases. % 35.08/10.46 |-Branch one: % 35.08/10.46 | (344) all_0_58_58 = e4 % 35.08/10.46 | % 35.08/10.46 | Equations (344) can reduce 71 to: % 35.08/10.46 | (345) ~ (all_0_56_56 = e4) % 35.08/10.46 | % 35.08/10.46 | Equations (344) can reduce 23 to: % 35.08/10.46 | (347) ~ (all_0_59_59 = e4) % 35.08/10.46 | % 35.08/10.46 | Simplifying 347 yields: % 35.08/10.46 | (348) ~ (all_0_59_59 = e4) % 35.08/10.46 | % 35.08/10.46 | Equations (344) can reduce 9 to: % 35.08/10.46 | (349) ~ (all_0_60_60 = e4) % 35.08/10.46 | % 35.08/10.46 | Simplifying 349 yields: % 35.08/10.46 | (350) ~ (all_0_60_60 = e4) % 35.08/10.46 | % 35.08/10.46 | Equations (344) can reduce 278 to: % 35.08/10.46 | (231) ~ (e4 = e2) % 35.08/10.46 | % 35.08/10.46 | Equations (344) can reduce 31 to: % 35.08/10.46 | (247) ~ (e4 = e1) % 35.08/10.46 | % 35.08/10.46 +-Applying beta-rule and splitting (684), into two cases. % 35.08/10.46 |-Branch one: % 35.08/10.46 | (748) all_0_48_48 = e1 % 35.08/10.46 | % 35.08/10.46 | Combining equations (380,748) yields a new equation: % 35.08/10.46 | (590) e1 = e0 % 35.08/10.46 | % 35.08/10.46 | Equations (590) can reduce 134 to: % 35.08/10.46 | (303) $false % 35.08/10.46 | % 35.08/10.46 |-The branch is then unsatisfiable % 35.08/10.46 |-Branch two: % 35.08/10.46 | (802) ~ (all_0_48_48 = e1) % 35.08/10.46 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 35.08/10.46 | % 35.08/10.46 +-Applying beta-rule and splitting (139), into two cases. % 35.08/10.46 |-Branch one: % 35.08/10.46 | (614) all_0_43_43 = e4 % 35.08/10.46 | % 35.08/10.46 | Equations (614) can reduce 8 to: % 35.08/10.46 | (844) ~ (all_0_40_40 = e4) % 35.08/10.46 | % 35.08/10.46 | Equations (614) can reduce 249 to: % 35.08/10.46 | (347) ~ (all_0_59_59 = e4) % 35.08/10.46 | % 35.08/10.46 | Simplifying 347 yields: % 35.08/10.46 | (348) ~ (all_0_59_59 = e4) % 35.08/10.46 | % 35.08/10.46 | Equations (614) can reduce 622 to: % 35.08/10.46 | (247) ~ (e4 = e1) % 35.08/10.46 | % 35.08/10.46 | Equations (614) can reduce 117 to: % 35.08/10.46 | (4) ~ (e4 = e0) % 35.08/10.46 | % 35.08/10.46 +-Applying beta-rule and splitting (233), into two cases. % 35.08/10.46 |-Branch one: % 35.08/10.46 | (917) all_0_40_40 = e2 % 35.08/10.46 | % 35.08/10.46 | Equations (917) can reduce 939 to: % 35.08/10.46 | (303) $false % 35.08/10.46 | % 35.08/10.46 |-The branch is then unsatisfiable % 35.08/10.46 |-Branch two: % 35.08/10.46 | (939) ~ (all_0_40_40 = e2) % 35.08/10.46 | (2671) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 35.08/10.46 | % 35.08/10.46 +-Applying beta-rule and splitting (157), into two cases. % 35.08/10.46 |-Branch one: % 35.08/10.46 | (917) all_0_40_40 = e2 % 35.08/10.46 | % 35.08/10.46 | Equations (917) can reduce 939 to: % 35.08/10.46 | (303) $false % 35.08/10.46 | % 35.08/10.46 |-The branch is then unsatisfiable % 35.08/10.46 |-Branch two: % 35.08/10.46 | (939) ~ (all_0_40_40 = e2) % 35.08/10.46 | (940) all_0_41_41 = e2 | all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 35.08/10.46 | % 35.08/10.46 +-Applying beta-rule and splitting (2671), into two cases. % 35.08/10.46 |-Branch one: % 35.08/10.46 | (723) all_0_40_40 = e4 % 35.08/10.46 | % 35.08/10.46 | Equations (723) can reduce 844 to: % 35.08/10.46 | (303) $false % 35.08/10.46 | % 35.08/10.46 |-The branch is then unsatisfiable % 35.08/10.46 |-Branch two: % 35.08/10.46 | (844) ~ (all_0_40_40 = e4) % 35.08/10.46 | (2800) all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 35.08/10.46 | % 35.08/10.46 +-Applying beta-rule and splitting (940), into two cases. % 35.08/10.46 |-Branch one: % 35.08/10.46 | (945) all_0_41_41 = e2 % 35.08/10.46 | % 35.08/10.46 | Combining equations (945,696) yields a new equation: % 35.08/10.46 | (584) e2 = e1 % 35.08/10.46 | % 35.08/10.46 | Simplifying 584 yields: % 35.08/10.46 | (585) e2 = e1 % 35.08/10.46 | % 35.08/10.46 | Equations (585) can reduce 144 to: % 35.08/10.46 | (303) $false % 35.08/10.46 | % 35.08/10.46 |-The branch is then unsatisfiable % 35.08/10.46 |-Branch two: % 35.08/10.46 | (369) ~ (all_0_41_41 = e2) % 35.08/10.46 | (949) all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 35.08/10.46 | % 35.08/10.46 +-Applying beta-rule and splitting (2800), into two cases. % 35.08/10.46 |-Branch one: % 35.08/10.46 | (624) all_0_40_40 = e1 % 35.08/10.46 | % 35.08/10.46 | Equations (624) can reduce 683 to: % 35.08/10.46 | (303) $false % 35.08/10.46 | % 35.08/10.46 |-The branch is then unsatisfiable % 35.08/10.46 |-Branch two: % 35.08/10.46 | (683) ~ (all_0_40_40 = e1) % 35.08/10.46 | (2833) all_0_40_40 = e3 | all_0_40_40 = e0 % 35.08/10.46 | % 35.08/10.46 +-Applying beta-rule and splitting (949), into two cases. % 35.08/10.46 |-Branch one: % 35.08/10.46 | (959) all_0_42_42 = e2 % 35.08/10.46 | % 35.08/10.46 | Combining equations (324,959) yields a new equation: % 35.08/10.46 | (385) e2 = e0 % 35.08/10.46 | % 35.08/10.46 | Equations (385) can reduce 51 to: % 35.08/10.46 | (303) $false % 35.08/10.46 | % 35.08/10.46 |-The branch is then unsatisfiable % 35.08/10.46 |-Branch two: % 35.08/10.46 | (272) ~ (all_0_42_42 = e2) % 35.08/10.46 | (964) all_0_43_43 = e2 | all_0_44_44 = e2 % 35.08/10.46 | % 35.08/10.46 +-Applying beta-rule and splitting (2833), into two cases. % 35.08/10.46 |-Branch one: % 35.08/10.46 | (2834) all_0_40_40 = e0 % 35.08/10.46 | % 35.08/10.46 | Equations (2834) can reduce 288 to: % 35.08/10.46 | (303) $false % 35.08/10.46 | % 35.08/10.46 |-The branch is then unsatisfiable % 35.08/10.46 |-Branch two: % 35.08/10.46 | (288) ~ (all_0_40_40 = e0) % 35.08/10.46 | (1102) all_0_40_40 = e3 % 35.08/10.46 | % 35.08/10.46 | Combining equations (1102,2627) yields a new equation: % 35.08/10.46 | (5536) all_0_24_24 = e3 % 35.08/10.46 | % 35.08/10.46 | Equations (1102) can reduce 57 to: % 35.08/10.46 | (2285) ~ (all_0_56_56 = e3) % 35.08/10.46 | % 35.08/10.46 | Simplifying 2285 yields: % 35.08/10.46 | (526) ~ (all_0_56_56 = e3) % 35.08/10.46 | % 35.08/10.46 | Equations (1102) can reduce 288 to: % 35.08/10.46 | (70) ~ (e3 = e0) % 35.08/10.46 | % 35.08/10.46 +-Applying beta-rule and splitting (964), into two cases. % 35.08/10.46 |-Branch one: % 35.08/10.46 | (965) all_0_43_43 = e2 % 35.08/10.46 | % 35.08/10.46 | Combining equations (614,965) yields a new equation: % 35.08/10.46 | (878) e4 = e2 % 35.08/10.46 | % 35.08/10.46 | Simplifying 878 yields: % 35.08/10.46 | (470) e4 = e2 % 35.08/10.46 | % 35.08/10.46 | Equations (470) can reduce 231 to: % 35.08/10.46 | (303) $false % 35.08/10.46 | % 35.08/10.46 |-The branch is then unsatisfiable % 35.08/10.46 |-Branch two: % 35.08/10.46 | (253) ~ (all_0_43_43 = e2) % 35.08/10.46 | (572) all_0_44_44 = e2 % 35.08/10.46 | % 35.08/10.46 | From (572) and (235) follows: % 35.08/10.46 | (11400) op(e2, e4) = all_0_7_7 % 35.08/10.46 | % 35.08/10.46 +-Applying beta-rule and splitting (227), into two cases. % 35.08/10.46 |-Branch one: % 35.08/10.46 | (909) all_0_59_59 = e2 % 35.08/10.46 | % 35.08/10.46 | Equations (909) can reduce 42 to: % 35.08/10.46 | (594) ~ (all_0_56_56 = e2) % 35.08/10.46 | % 35.08/10.46 | Equations (909) can reduce 1031 to: % 35.08/10.46 | (577) ~ (e3 = e2) % 35.08/10.46 | % 35.08/10.46 | Simplifying 577 yields: % 35.08/10.46 | (223) ~ (e3 = e2) % 35.08/10.46 | % 35.08/10.46 | Equations (909) can reduce 216 to: % 35.08/10.46 | (51) ~ (e2 = e0) % 35.08/10.46 | % 35.08/10.46 | From (909) and (33) follows: % 35.08/10.46 | (26059) op(e2, e1) = all_0_38_38 % 35.08/10.46 | % 35.08/10.46 +-Applying beta-rule and splitting (245), into two cases. % 35.08/10.46 |-Branch one: % 35.08/10.46 | (583) all_0_56_56 = e1 % 35.08/10.46 | % 35.08/10.46 | Combining equations (583,6399) yields a new equation: % 35.08/10.46 | (15573) all_0_16_16 = e1 % 35.08/10.46 | % 35.08/10.46 | Equations (583) can reduce 174 to: % 35.08/10.46 | (1050) ~ (all_0_60_60 = e1) % 35.08/10.46 | % 35.08/10.46 | Simplifying 1050 yields: % 35.08/10.46 | (501) ~ (all_0_60_60 = e1) % 35.08/10.46 | % 35.08/10.46 | Equations (583) can reduce 345 to: % 35.08/10.46 | (605) ~ (e4 = e1) % 35.08/10.46 | % 35.08/10.46 | Simplifying 605 yields: % 35.08/10.46 | (247) ~ (e4 = e1) % 35.08/10.46 | % 35.08/10.46 | Equations (583) can reduce 526 to: % 35.08/10.46 | (465) ~ (e3 = e1) % 35.08/10.46 | % 35.08/10.46 | Simplifying 465 yields: % 35.08/10.46 | (136) ~ (e3 = e1) % 35.08/10.46 | % 35.08/10.46 | Equations (583) can reduce 594 to: % 35.08/10.46 | (565) ~ (e2 = e1) % 35.08/10.46 | % 35.08/10.46 | Simplifying 565 yields: % 35.08/10.46 | (144) ~ (e2 = e1) % 35.08/10.46 | % 35.08/10.46 | Equations (583) can reduce 296 to: % 35.08/10.46 | (134) ~ (e1 = e0) % 35.08/10.46 | % 35.08/10.46 | From (583) and (185) follows: % 35.08/10.46 | (3485) op(e1, e4) = all_0_32_32 % 35.08/10.46 | % 35.08/10.46 +-Applying beta-rule and splitting (209), into two cases. % 35.08/10.46 |-Branch one: % 35.08/10.46 | (1111) all_0_56_56 = e3 % 35.08/10.46 | % 35.08/10.46 | Combining equations (1111,583) yields a new equation: % 35.08/10.46 | (680) e3 = e1 % 35.08/10.46 | % 35.08/10.46 | Simplifying 680 yields: % 35.08/10.46 | (601) e3 = e1 % 35.08/10.46 | % 35.08/10.46 | Equations (601) can reduce 136 to: % 35.08/10.46 | (303) $false % 35.08/10.46 | % 35.08/10.46 |-The branch is then unsatisfiable % 35.08/10.46 |-Branch two: % 35.08/10.46 | (526) ~ (all_0_56_56 = e3) % 35.08/10.46 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 35.08/10.46 | % 35.08/10.46 +-Applying beta-rule and splitting (1491), into two cases. % 35.08/10.46 |-Branch one: % 35.08/10.46 | (1001) all_0_57_57 = e3 % 35.08/10.46 | % 35.08/10.46 | Combining equations (1001,407) yields a new equation: % 35.08/10.46 | (496) e3 = e0 % 35.08/10.46 | % 35.08/10.46 | Simplifying 496 yields: % 35.08/10.46 | (497) e3 = e0 % 35.08/10.46 | % 35.08/10.46 | Equations (497) can reduce 70 to: % 35.08/10.46 | (303) $false % 35.08/10.46 | % 35.08/10.46 |-The branch is then unsatisfiable % 35.08/10.46 |-Branch two: % 35.08/10.46 | (2590) ~ (all_0_57_57 = e3) % 35.08/10.46 | (2977) all_0_59_59 = e3 | all_0_60_60 = e3 % 35.08/10.46 | % 35.08/10.46 +-Applying beta-rule and splitting (2977), into two cases. % 35.08/10.46 |-Branch one: % 35.08/10.46 | (456) all_0_59_59 = e3 % 35.08/10.46 | % 35.08/10.46 | Combining equations (456,909) yields a new equation: % 35.08/10.46 | (452) e3 = e2 % 35.08/10.46 | % 35.08/10.46 | Simplifying 452 yields: % 35.08/10.46 | (453) e3 = e2 % 35.08/10.46 | % 35.08/10.46 | Equations (453) can reduce 223 to: % 35.08/10.46 | (303) $false % 35.08/10.46 | % 35.08/10.46 |-The branch is then unsatisfiable % 35.08/10.46 |-Branch two: % 35.08/10.46 | (1031) ~ (all_0_59_59 = e3) % 35.08/10.46 | (1937) all_0_60_60 = e3 % 35.08/10.46 | % 35.08/10.46 | Equations (1937) can reduce 350 to: % 35.08/10.46 | (439) ~ (e4 = e3) % 35.08/10.46 | % 35.08/10.46 | Simplifying 439 yields: % 35.08/10.46 | (30) ~ (e4 = e3) % 35.08/10.46 | % 35.08/10.46 | Equations (1937) can reduce 501 to: % 35.08/10.46 | (136) ~ (e3 = e1) % 35.08/10.46 | % 35.08/10.46 | Equations (1937) can reduce 414 to: % 35.08/10.46 | (70) ~ (e3 = e0) % 35.08/10.46 | % 35.08/10.46 | Instantiating formula (29) with e2, e4, all_0_7_7, e0 and discharging atoms op(e2, e4) = all_0_7_7, op(e2, e4) = e0, yields: % 35.08/10.46 | (15440) all_0_7_7 = e0 % 35.08/10.46 | % 35.08/10.46 | Instantiating formula (29) with e2, e1, all_0_38_38, e1 and discharging atoms op(e2, e1) = all_0_38_38, op(e2, e1) = e1, yields: % 35.08/10.46 | (26095) all_0_38_38 = e1 % 35.08/10.46 | % 35.08/10.46 | Instantiating formula (29) with e1, e4, all_0_1_1, e4 and discharging atoms op(e1, e4) = all_0_1_1, op(e1, e4) = e4, yields: % 35.08/10.46 | (9215) all_0_1_1 = e4 % 35.08/10.46 | % 35.08/10.46 | Instantiating formula (29) with e1, e4, all_0_32_32, all_0_1_1 and discharging atoms op(e1, e4) = all_0_1_1, op(e1, e4) = all_0_32_32, yields: % 35.08/10.46 | (11410) all_0_1_1 = all_0_32_32 % 35.08/10.46 | % 35.08/10.46 | Instantiating formula (29) with e1, e3, all_0_2_2, e3 and discharging atoms op(e1, e3) = all_0_2_2, op(e1, e3) = e3, yields: % 35.08/10.46 | (3353) all_0_2_2 = e3 % 35.08/10.46 | % 35.08/10.46 | Combining equations (9215,11410) yields a new equation: % 35.08/10.46 | (10178) all_0_32_32 = e4 % 35.08/10.46 | % 35.08/10.46 +-Applying beta-rule and splitting (181), into two cases. % 35.08/10.46 |-Branch one: % 35.08/10.46 | (3497) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_51_51 = all_0_58_58)) % 35.08/10.46 | % 35.08/10.46 +-Applying beta-rule and splitting (3497), into two cases. % 35.08/10.46 |-Branch one: % 35.08/10.46 | (3498) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57)) % 35.08/10.46 | % 35.08/10.46 +-Applying beta-rule and splitting (3498), into two cases. % 35.08/10.46 |-Branch one: % 35.08/10.46 | (3499) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56)) % 35.08/10.46 | % 35.08/10.46 +-Applying beta-rule and splitting (3499), into two cases. % 35.08/10.46 |-Branch one: % 35.08/10.46 | (3500) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) % 35.08/10.47 | % 35.08/10.47 +-Applying beta-rule and splitting (3500), into two cases. % 35.08/10.47 |-Branch one: % 35.08/10.47 | (3501) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54)) % 35.08/10.47 | % 35.08/10.47 +-Applying beta-rule and splitting (3501), into two cases. % 35.08/10.47 |-Branch one: % 35.08/10.47 | (3502) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53)) % 35.08/10.47 | % 35.08/10.47 +-Applying beta-rule and splitting (3502), into two cases. % 35.08/10.47 |-Branch one: % 35.08/10.47 | (3503) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52)) % 35.08/10.47 | % 35.08/10.47 +-Applying beta-rule and splitting (3503), into two cases. % 35.08/10.47 |-Branch one: % 35.08/10.47 | (3504) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58)) % 35.08/10.47 | % 35.08/10.47 +-Applying beta-rule and splitting (3504), into two cases. % 35.08/10.47 |-Branch one: % 35.08/10.47 | (3505) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54)) % 35.08/10.47 | % 35.08/10.47 +-Applying beta-rule and splitting (3505), into two cases. % 35.08/10.47 |-Branch one: % 35.08/10.47 | (3506) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1)) % 35.08/10.47 | % 35.08/10.47 +-Applying beta-rule and splitting (3506), into two cases. % 35.08/10.47 |-Branch one: % 35.08/10.47 | (3507) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48)) % 35.08/10.47 | % 35.08/10.47 +-Applying beta-rule and splitting (3507), into two cases. % 35.08/10.47 |-Branch one: % 35.08/10.47 | (3508) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57)) % 35.08/10.47 | % 35.08/10.47 +-Applying beta-rule and splitting (3508), into two cases. % 35.08/10.47 |-Branch one: % 35.08/10.47 | (3509) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53)) % 35.08/10.47 | % 35.08/10.47 +-Applying beta-rule and splitting (3509), into two cases. % 35.08/10.47 |-Branch one: % 35.08/10.47 | (3510) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45)) % 35.08/10.47 | % 35.08/10.47 +-Applying beta-rule and splitting (3510), into two cases. % 35.08/10.47 |-Branch one: % 35.08/10.47 | (3511) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) | (all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56)) % 35.08/10.47 | % 35.08/10.47 +-Applying beta-rule and splitting (3511), into two cases. % 35.08/10.47 |-Branch one: % 35.08/10.47 | (3512) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52)) % 35.08/10.47 | % 35.08/10.47 +-Applying beta-rule and splitting (3512), into two cases. % 35.08/10.47 |-Branch one: % 35.08/10.47 | (3513) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48)) % 35.08/10.47 | % 35.08/10.47 +-Applying beta-rule and splitting (3513), into two cases. % 35.08/10.47 |-Branch one: % 35.08/10.47 | (3514) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_41_41 = all_0_45_45) % 35.08/10.47 | % 35.08/10.47 | Applying alpha-rule on (3514) yields: % 35.08/10.47 | (3515) all_0_2_2 = e4 % 35.08/10.47 | (3516) ~ (all_0_1_1 = e3) % 35.08/10.47 | (3517) ~ (all_0_41_41 = all_0_45_45) % 35.08/10.47 | % 35.08/10.47 | Combining equations (3515,3353) yields a new equation: % 35.08/10.47 | (718) e4 = e3 % 35.08/10.47 | % 35.08/10.47 | Simplifying 718 yields: % 35.08/10.47 | (443) e4 = e3 % 35.08/10.47 | % 35.08/10.47 | Equations (443) can reduce 30 to: % 35.08/10.47 | (303) $false % 35.08/10.47 | % 35.08/10.47 |-The branch is then unsatisfiable % 35.08/10.47 |-Branch two: % 35.08/10.47 | (3521) all_0_4_4 = e4 & ~ (all_0_3_3 = e2) & ~ (all_0_42_42 = all_0_48_48) % 35.08/10.47 | % 35.08/10.47 | Applying alpha-rule on (3521) yields: % 35.08/10.47 | (356) all_0_4_4 = e4 % 35.08/10.47 | (3523) ~ (all_0_3_3 = e2) % 35.08/10.47 | (3524) ~ (all_0_42_42 = all_0_48_48) % 35.08/10.47 | % 35.08/10.47 | Equations (324,380) can reduce 3524 to: % 35.08/10.47 | (303) $false % 35.08/10.47 | % 35.08/10.47 |-The branch is then unsatisfiable % 35.08/10.47 |-Branch two: % 35.08/10.47 | (3526) all_0_6_6 = e4 & ~ (all_0_5_5 = e1) & ~ (all_0_43_43 = all_0_52_52) % 35.08/10.47 | % 35.08/10.47 | Applying alpha-rule on (3526) yields: % 35.08/10.47 | (3527) all_0_6_6 = e4 % 35.08/10.47 | (3528) ~ (all_0_5_5 = e1) % 35.08/10.47 | (3529) ~ (all_0_43_43 = all_0_52_52) % 35.08/10.47 | % 35.08/10.47 | Equations (614,442) can reduce 3529 to: % 35.08/10.47 | (303) $false % 35.08/10.47 | % 35.08/10.47 |-The branch is then unsatisfiable % 35.08/10.47 |-Branch two: % 35.08/10.47 | (3533) all_0_8_8 = e4 & ~ (all_0_7_7 = e0) & ~ (all_0_44_44 = all_0_56_56) % 35.08/10.47 | % 35.08/10.47 | Applying alpha-rule on (3533) yields: % 35.08/10.47 | (3534) all_0_8_8 = e4 % 35.08/10.47 | (3535) ~ (all_0_7_7 = e0) % 35.08/10.47 | (3536) ~ (all_0_44_44 = all_0_56_56) % 35.08/10.47 | % 35.08/10.47 | Equations (15440) can reduce 3535 to: % 35.08/10.47 | (303) $false % 35.08/10.47 | % 35.08/10.47 |-The branch is then unsatisfiable % 35.08/10.47 |-Branch two: % 35.08/10.47 | (3538) all_0_10_10 = e3 & ~ (all_0_9_9 = e4) & ~ (all_0_41_41 = all_0_45_45) % 35.08/10.47 | % 35.08/10.47 | Applying alpha-rule on (3538) yields: % 35.08/10.47 | (3539) all_0_10_10 = e3 % 35.08/10.47 | (3540) ~ (all_0_9_9 = e4) % 35.08/10.47 | (3517) ~ (all_0_41_41 = all_0_45_45) % 35.08/10.47 | % 35.08/10.47 | Combining equations (3539,25567) yields a new equation: % 35.08/10.47 | (496) e3 = e0 % 35.08/10.47 | % 35.08/10.47 | Simplifying 496 yields: % 35.08/10.47 | (497) e3 = e0 % 35.08/10.47 | % 35.08/10.47 | Equations (497) can reduce 70 to: % 35.08/10.47 | (303) $false % 35.08/10.47 | % 35.08/10.47 |-The branch is then unsatisfiable % 35.08/10.47 |-Branch two: % 35.08/10.47 | (3545) all_0_12_12 = e3 & ~ (all_0_11_11 = e1) & ~ (all_0_46_46 = all_0_53_53) % 35.08/10.47 | % 35.08/10.47 | Applying alpha-rule on (3545) yields: % 35.08/10.47 | (3546) all_0_12_12 = e3 % 35.08/10.47 | (3547) ~ (all_0_11_11 = e1) % 35.08/10.47 | (3548) ~ (all_0_46_46 = all_0_53_53) % 35.08/10.47 | % 35.08/10.47 | Equations (451,994) can reduce 3548 to: % 35.08/10.47 | (303) $false % 35.08/10.47 | % 35.08/10.47 |-The branch is then unsatisfiable % 35.08/10.47 |-Branch two: % 35.08/10.47 | (3552) all_0_14_14 = e3 & ~ (all_0_13_13 = e0) & ~ (all_0_47_47 = all_0_57_57) % 35.08/10.47 | % 35.08/10.47 | Applying alpha-rule on (3552) yields: % 35.08/10.47 | (3553) all_0_14_14 = e3 % 35.08/10.47 | (3554) ~ (all_0_13_13 = e0) % 35.08/10.47 | (3555) ~ (all_0_47_47 = all_0_57_57) % 35.08/10.47 | % 35.08/10.47 | Equations (306,407) can reduce 3555 to: % 35.08/10.47 | (303) $false % 35.08/10.47 | % 35.08/10.47 |-The branch is then unsatisfiable % 35.08/10.47 |-Branch two: % 35.08/10.47 | (3557) all_0_16_16 = e2 & ~ (all_0_15_15 = e4) & ~ (all_0_42_42 = all_0_48_48) % 35.08/10.47 | % 35.08/10.47 | Applying alpha-rule on (3557) yields: % 35.08/10.47 | (3558) all_0_16_16 = e2 % 35.08/10.47 | (3559) ~ (all_0_15_15 = e4) % 35.08/10.47 | (3524) ~ (all_0_42_42 = all_0_48_48) % 35.08/10.47 | % 35.08/10.47 | Combining equations (3558,15573) yields a new equation: % 35.08/10.47 | (584) e2 = e1 % 35.08/10.47 | % 35.08/10.47 | Simplifying 584 yields: % 35.08/10.47 | (585) e2 = e1 % 35.08/10.47 | % 35.08/10.47 | Equations (585) can reduce 144 to: % 35.08/10.47 | (303) $false % 35.08/10.47 | % 35.08/10.47 |-The branch is then unsatisfiable % 35.08/10.47 |-Branch two: % 35.08/10.47 | (3562) all_0_18_18 = e2 & ~ (all_0_17_17 = e3) & ~ (all_0_49_49 = e1) % 35.08/10.47 | % 35.08/10.47 | Applying alpha-rule on (3562) yields: % 35.08/10.47 | (3563) all_0_18_18 = e2 % 35.08/10.47 | (3564) ~ (all_0_17_17 = e3) % 35.08/10.47 | (506) ~ (all_0_49_49 = e1) % 35.08/10.47 | % 35.08/10.48 | Equations (3246) can reduce 3564 to: % 35.08/10.48 | (303) $false % 35.08/10.48 | % 35.08/10.48 |-The branch is then unsatisfiable % 35.08/10.48 |-Branch two: % 35.08/10.48 | (3567) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_50_50 = all_0_54_54) % 35.08/10.48 | % 35.08/10.48 | Applying alpha-rule on (3567) yields: % 35.08/10.48 | (3568) all_0_20_20 = e2 % 35.08/10.48 | (3569) ~ (all_0_19_19 = e1) % 35.08/10.48 | (3570) ~ (all_0_50_50 = all_0_54_54) % 35.08/10.48 | % 35.08/10.48 | Combining equations (3568,3327) yields a new equation: % 35.08/10.48 | (403) e2 = e0 % 35.08/10.48 | % 35.08/10.48 | Simplifying 403 yields: % 35.08/10.48 | (385) e2 = e0 % 35.08/10.48 | % 35.08/10.48 | Equations (385) can reduce 51 to: % 35.08/10.48 | (303) $false % 35.08/10.48 | % 35.08/10.48 |-The branch is then unsatisfiable % 35.08/10.48 |-Branch two: % 35.08/10.48 | (3574) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_51_51 = all_0_58_58) % 35.08/10.48 | % 35.08/10.48 | Applying alpha-rule on (3574) yields: % 35.08/10.48 | (3575) all_0_22_22 = e2 % 35.08/10.48 | (3576) ~ (all_0_21_21 = e0) % 35.08/10.48 | (3577) ~ (all_0_51_51 = all_0_58_58) % 35.08/10.48 | % 35.08/10.48 | Equations (1501,344) can reduce 3577 to: % 35.08/10.48 | (303) $false % 35.08/10.48 | % 35.08/10.48 |-The branch is then unsatisfiable % 35.08/10.48 |-Branch two: % 35.08/10.48 | (3579) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_43_43 = all_0_52_52) % 35.08/10.48 | % 35.08/10.48 | Applying alpha-rule on (3579) yields: % 35.08/10.48 | (3580) all_0_24_24 = e1 % 35.08/10.48 | (3581) ~ (all_0_23_23 = e4) % 35.08/10.48 | (3529) ~ (all_0_43_43 = all_0_52_52) % 35.08/10.48 | % 35.08/10.48 | Combining equations (3580,5536) yields a new equation: % 35.08/10.48 | (601) e3 = e1 % 35.08/10.48 | % 35.08/10.48 | Equations (601) can reduce 136 to: % 35.08/10.48 | (303) $false % 35.08/10.48 | % 35.08/10.48 |-The branch is then unsatisfiable % 35.08/10.48 |-Branch two: % 35.08/10.48 | (3584) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_46_46 = all_0_53_53) % 35.08/10.48 | % 35.08/10.48 | Applying alpha-rule on (3584) yields: % 35.08/10.48 | (3585) all_0_26_26 = e1 % 35.08/10.48 | (3586) ~ (all_0_25_25 = e3) % 35.08/10.48 | (3548) ~ (all_0_46_46 = all_0_53_53) % 35.08/10.48 | % 35.08/10.48 | Combining equations (3585,2620) yields a new equation: % 35.08/10.48 | (541) e4 = e1 % 35.08/10.48 | % 35.08/10.48 | Equations (541) can reduce 247 to: % 35.08/10.48 | (303) $false % 35.08/10.48 | % 35.08/10.48 |-The branch is then unsatisfiable % 35.08/10.48 |-Branch two: % 35.08/10.48 | (3641) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_50_50 = all_0_54_54) % 35.08/10.48 | % 35.08/10.48 | Applying alpha-rule on (3641) yields: % 35.08/10.48 | (3642) all_0_28_28 = e1 % 35.08/10.48 | (3643) ~ (all_0_27_27 = e2) % 35.08/10.48 | (3570) ~ (all_0_50_50 = all_0_54_54) % 35.08/10.48 | % 35.08/10.48 | Combining equations (3642,283) yields a new equation: % 35.08/10.48 | (601) e3 = e1 % 35.08/10.48 | % 35.08/10.48 | Equations (601) can reduce 136 to: % 35.08/10.48 | (303) $false % 35.08/10.48 | % 35.08/10.48 |-The branch is then unsatisfiable % 35.08/10.48 |-Branch two: % 35.08/10.48 | (3647) all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59) % 35.08/10.48 | % 35.08/10.48 | Applying alpha-rule on (3647) yields: % 35.08/10.48 | (3648) all_0_30_30 = e1 % 35.08/10.48 | (3649) ~ (all_0_29_29 = e0) % 35.08/10.48 | (3650) ~ (all_0_55_55 = all_0_59_59) % 35.08/10.48 | % 35.08/10.48 | Equations (15604) can reduce 3649 to: % 35.08/10.48 | (303) $false % 35.08/10.48 | % 35.08/10.48 |-The branch is then unsatisfiable % 35.08/10.48 |-Branch two: % 35.08/10.48 | (3652) all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_44_44 = all_0_56_56) % 35.08/10.48 | % 35.08/10.48 | Applying alpha-rule on (3652) yields: % 35.08/10.48 | (3653) all_0_32_32 = e0 % 35.08/10.48 | (3654) ~ (all_0_31_31 = e4) % 35.08/10.48 | (3536) ~ (all_0_44_44 = all_0_56_56) % 35.08/10.48 | % 35.08/10.48 | Combining equations (10178,3653) yields a new equation: % 35.08/10.48 | (1573) e4 = e0 % 35.08/10.48 | % 35.08/10.48 | Simplifying 1573 yields: % 35.08/10.48 | (654) e4 = e0 % 35.08/10.48 | % 35.08/10.48 | Equations (654) can reduce 4 to: % 35.08/10.48 | (303) $false % 35.08/10.48 | % 35.08/10.48 |-The branch is then unsatisfiable % 35.08/10.48 |-Branch two: % 35.08/10.48 | (3657) all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_47_47 = all_0_57_57) % 35.08/10.48 | % 35.08/10.48 | Applying alpha-rule on (3657) yields: % 35.08/10.48 | (421) all_0_34_34 = e0 % 35.08/10.48 | (3659) ~ (all_0_33_33 = e3) % 35.08/10.48 | (3555) ~ (all_0_47_47 = all_0_57_57) % 35.08/10.48 | % 35.08/10.48 | Equations (306,407) can reduce 3555 to: % 35.08/10.48 | (303) $false % 35.08/10.48 | % 35.08/10.48 |-The branch is then unsatisfiable % 35.08/10.48 |-Branch two: % 35.08/10.48 | (3662) all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_51_51 = all_0_58_58) % 35.08/10.48 | % 35.08/10.48 | Applying alpha-rule on (3662) yields: % 35.08/10.48 | (354) all_0_36_36 = e0 % 35.08/10.48 | (3664) ~ (all_0_35_35 = e2) % 35.08/10.48 | (3577) ~ (all_0_51_51 = all_0_58_58) % 35.08/10.48 | % 35.08/10.48 | Equations (1501,344) can reduce 3577 to: % 35.08/10.48 | (303) $false % 35.08/10.48 | % 35.08/10.48 |-The branch is then unsatisfiable % 35.08/10.48 |-Branch two: % 35.08/10.48 | (3667) all_0_38_38 = e0 & ~ (all_0_37_37 = e1) & ~ (all_0_55_55 = all_0_59_59) % 35.08/10.48 | % 35.08/10.48 | Applying alpha-rule on (3667) yields: % 35.08/10.48 | (3668) all_0_38_38 = e0 % 35.08/10.48 | (3669) ~ (all_0_37_37 = e1) % 35.08/10.48 | (3650) ~ (all_0_55_55 = all_0_59_59) % 35.08/10.48 | % 35.08/10.48 | Combining equations (26095,3668) yields a new equation: % 35.08/10.48 | (670) e1 = e0 % 35.08/10.48 | % 35.08/10.48 | Simplifying 670 yields: % 35.08/10.48 | (590) e1 = e0 % 35.08/10.48 | % 35.08/10.48 | Equations (590) can reduce 134 to: % 35.08/10.48 | (303) $false % 35.08/10.48 | % 35.08/10.48 |-The branch is then unsatisfiable % 35.08/10.48 |-Branch two: % 35.08/10.48 | (587) ~ (all_0_56_56 = e1) % 35.08/10.48 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 35.08/10.48 | % 35.08/10.48 +-Applying beta-rule and splitting (807), into two cases. % 35.08/10.48 |-Branch one: % 35.08/10.48 | (1070) all_0_52_52 = e1 % 35.08/10.48 | % 35.08/10.48 | Combining equations (1070,442) yields a new equation: % 35.08/10.48 | (541) e4 = e1 % 35.08/10.48 | % 35.08/10.48 | Equations (541) can reduce 247 to: % 35.08/10.48 | (303) $false % 35.08/10.48 | % 35.08/10.48 |-The branch is then unsatisfiable % 35.08/10.48 |-Branch two: % 35.08/10.48 | (502) ~ (all_0_52_52 = e1) % 35.08/10.48 | (583) all_0_56_56 = e1 % 35.08/10.48 | % 35.08/10.48 | Equations (583) can reduce 587 to: % 35.08/10.48 | (303) $false % 35.08/10.48 | % 35.08/10.48 |-The branch is then unsatisfiable % 35.08/10.48 |-Branch two: % 35.08/10.48 | (260) ~ (all_0_59_59 = e2) % 35.08/10.48 | (1037) all_0_59_59 = e4 | all_0_59_59 = e3 | all_0_59_59 = e1 % 35.08/10.48 | % 35.08/10.48 +-Applying beta-rule and splitting (529), into two cases. % 35.08/10.48 |-Branch one: % 35.08/10.48 | (2273) ~ (all_0_57_57 = e0) % 35.08/10.48 | % 35.08/10.48 | Equations (407) can reduce 2273 to: % 35.08/10.48 | (303) $false % 35.08/10.48 | % 35.08/10.48 |-The branch is then unsatisfiable % 35.08/10.48 |-Branch two: % 35.08/10.48 | (407) all_0_57_57 = e0 % 35.08/10.48 | (1937) all_0_60_60 = e3 % 35.08/10.48 | % 35.08/10.48 | Equations (1937) can reduce 164 to: % 35.08/10.48 | (1031) ~ (all_0_59_59 = e3) % 35.08/10.48 | % 35.08/10.48 +-Applying beta-rule and splitting (1037), into two cases. % 35.08/10.48 |-Branch one: % 35.08/10.48 | (717) all_0_59_59 = e4 % 35.08/10.48 | % 35.08/10.48 | Equations (717) can reduce 348 to: % 35.08/10.48 | (303) $false % 35.08/10.48 | % 35.08/10.48 |-The branch is then unsatisfiable % 35.08/10.48 |-Branch two: % 35.08/10.48 | (348) ~ (all_0_59_59 = e4) % 35.08/10.48 | (1047) all_0_59_59 = e3 | all_0_59_59 = e1 % 35.08/10.48 | % 35.08/10.48 +-Applying beta-rule and splitting (1047), into two cases. % 35.08/10.48 |-Branch one: % 35.08/10.48 | (600) all_0_59_59 = e1 % 35.08/10.48 | % 35.08/10.48 | Equations (600) can reduce 603 to: % 35.08/10.48 | (303) $false % 35.08/10.48 | % 35.08/10.48 |-The branch is then unsatisfiable % 35.08/10.48 |-Branch two: % 35.08/10.48 | (603) ~ (all_0_59_59 = e1) % 35.08/10.48 | (456) all_0_59_59 = e3 % 35.08/10.48 | % 35.08/10.48 | Equations (456) can reduce 1031 to: % 35.08/10.48 | (303) $false % 35.08/10.48 | % 35.08/10.48 |-The branch is then unsatisfiable % 35.08/10.48 |-Branch two: % 35.08/10.48 | (712) ~ (all_0_43_43 = e4) % 35.08/10.48 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 35.08/10.48 | % 35.08/10.48 +-Applying beta-rule and splitting (227), into two cases. % 35.08/10.48 |-Branch one: % 35.08/10.48 | (909) all_0_59_59 = e2 % 35.08/10.48 | % 35.08/10.48 | Equations (909) can reduce 348 to: % 35.08/10.48 | (261) ~ (e4 = e2) % 35.08/10.48 | % 35.08/10.48 | Simplifying 261 yields: % 35.08/10.48 | (231) ~ (e4 = e2) % 35.08/10.48 | % 35.08/10.48 +-Applying beta-rule and splitting (807), into two cases. % 35.08/10.48 |-Branch one: % 35.08/10.48 | (1070) all_0_52_52 = e1 % 35.08/10.48 | % 35.08/10.48 | Combining equations (442,1070) yields a new equation: % 35.08/10.48 | (540) e4 = e1 % 35.08/10.48 | % 35.08/10.48 | Simplifying 540 yields: % 35.08/10.48 | (541) e4 = e1 % 35.08/10.48 | % 35.08/10.48 | Equations (541) can reduce 247 to: % 35.08/10.48 | (303) $false % 35.08/10.48 | % 35.08/10.48 |-The branch is then unsatisfiable % 35.08/10.48 |-Branch two: % 35.08/10.48 | (502) ~ (all_0_52_52 = e1) % 35.08/10.48 | (583) all_0_56_56 = e1 % 35.08/10.48 | % 35.08/10.48 | Equations (583) can reduce 345 to: % 35.08/10.48 | (605) ~ (e4 = e1) % 35.08/10.48 | % 35.08/10.48 | Simplifying 605 yields: % 35.08/10.48 | (247) ~ (e4 = e1) % 35.08/10.48 | % 35.08/10.48 +-Applying beta-rule and splitting (713), into two cases. % 35.08/10.48 |-Branch one: % 35.08/10.48 | (714) all_0_50_50 = e4 % 35.08/10.48 | % 35.08/10.49 | Combining equations (627,714) yields a new equation: % 35.08/10.49 | (541) e4 = e1 % 35.08/10.49 | % 35.08/10.49 | Equations (541) can reduce 247 to: % 35.08/10.49 | (303) $false % 35.08/10.49 | % 35.08/10.49 |-The branch is then unsatisfiable % 35.08/10.49 |-Branch two: % 35.08/10.49 | (611) ~ (all_0_50_50 = e4) % 35.08/10.49 | (717) all_0_59_59 = e4 % 35.08/10.49 | % 35.08/10.49 | Combining equations (717,909) yields a new equation: % 35.08/10.49 | (878) e4 = e2 % 35.08/10.49 | % 35.08/10.49 | Simplifying 878 yields: % 35.08/10.49 | (470) e4 = e2 % 35.08/10.49 | % 35.08/10.49 | Equations (470) can reduce 231 to: % 35.08/10.49 | (303) $false % 35.08/10.49 | % 35.08/10.49 |-The branch is then unsatisfiable % 35.08/10.49 |-Branch two: % 35.08/10.49 | (260) ~ (all_0_59_59 = e2) % 35.08/10.49 | (1037) all_0_59_59 = e4 | all_0_59_59 = e3 | all_0_59_59 = e1 % 35.08/10.49 | % 35.08/10.49 +-Applying beta-rule and splitting (1037), into two cases. % 35.08/10.49 |-Branch one: % 35.08/10.49 | (717) all_0_59_59 = e4 % 35.08/10.49 | % 35.08/10.49 | Equations (717) can reduce 348 to: % 35.08/10.49 | (303) $false % 35.08/10.49 | % 35.08/10.49 |-The branch is then unsatisfiable % 35.08/10.49 |-Branch two: % 35.08/10.49 | (348) ~ (all_0_59_59 = e4) % 35.08/10.49 | (1047) all_0_59_59 = e3 | all_0_59_59 = e1 % 35.08/10.49 | % 35.08/10.49 +-Applying beta-rule and splitting (1047), into two cases. % 35.08/10.49 |-Branch one: % 35.08/10.49 | (600) all_0_59_59 = e1 % 35.08/10.49 | % 35.08/10.49 | Equations (600) can reduce 603 to: % 35.08/10.49 | (303) $false % 35.08/10.49 | % 35.08/10.49 |-The branch is then unsatisfiable % 35.08/10.49 |-Branch two: % 35.08/10.49 | (603) ~ (all_0_59_59 = e1) % 35.08/10.49 | (456) all_0_59_59 = e3 % 35.08/10.49 | % 35.08/10.49 | Equations (456) can reduce 1031 to: % 35.08/10.49 | (303) $false % 35.08/10.49 | % 35.08/10.49 |-The branch is then unsatisfiable % 35.08/10.49 |-Branch two: % 35.08/10.49 | (3161) ~ (all_0_58_58 = e4) % 35.08/10.49 | (989) all_0_58_58 = e0 % 35.08/10.49 | % 35.08/10.49 | Equations (989) can reduce 332 to: % 35.08/10.49 | (303) $false % 35.08/10.49 | % 35.08/10.49 |-The branch is then unsatisfiable % 35.08/10.49 |-Branch two: % 35.08/10.49 | (699) ~ (all_0_41_41 = e1) % 35.08/10.49 | (2154) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_57_57 = e1 % 35.08/10.49 | % 35.08/10.49 +-Applying beta-rule and splitting (180), into two cases. % 35.08/10.49 |-Branch one: % 35.08/10.49 | (945) all_0_41_41 = e2 % 35.08/10.49 | % 35.08/10.49 | Equations (945) can reduce 369 to: % 35.08/10.49 | (303) $false % 35.08/10.49 | % 35.08/10.49 |-The branch is then unsatisfiable % 35.08/10.49 |-Branch two: % 35.08/10.49 | (369) ~ (all_0_41_41 = e2) % 35.08/10.49 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 35.08/10.49 | % 35.08/10.49 +-Applying beta-rule and splitting (1017), into two cases. % 35.08/10.49 |-Branch one: % 35.08/10.49 | (696) all_0_41_41 = e1 % 35.08/10.49 | % 35.08/10.49 | Equations (696) can reduce 699 to: % 35.08/10.49 | (303) $false % 35.08/10.49 | % 35.08/10.49 |-The branch is then unsatisfiable % 35.08/10.49 |-Branch two: % 35.08/10.49 | (699) ~ (all_0_41_41 = e1) % 35.08/10.49 | (2158) all_0_41_41 = e3 | all_0_41_41 = e0 % 35.08/10.49 | % 35.08/10.49 +-Applying beta-rule and splitting (2158), into two cases. % 35.08/10.49 |-Branch one: % 35.08/10.49 | (398) all_0_41_41 = e0 % 35.08/10.49 | % 35.08/10.49 | Equations (398) can reduce 326 to: % 35.08/10.49 | (303) $false % 35.08/10.49 | % 35.08/10.49 |-The branch is then unsatisfiable % 35.08/10.49 |-Branch two: % 35.08/10.49 | (326) ~ (all_0_41_41 = e0) % 35.08/10.49 | (431) all_0_41_41 = e3 % 35.08/10.49 | % 35.08/10.49 | Equations (431) can reduce 996 to: % 35.08/10.49 | (303) $false % 35.08/10.49 | % 35.08/10.49 |-The branch is then unsatisfiable % 35.08/10.49 |-Branch two: % 35.08/10.49 | (3164) ~ (all_0_42_42 = e0) % 35.08/10.49 | (989) all_0_58_58 = e0 % 35.08/10.49 | % 35.08/10.49 | Equations (989) can reduce 71 to: % 35.08/10.49 | (296) ~ (all_0_56_56 = e0) % 35.08/10.49 | % 35.08/10.49 | Equations (989) can reduce 178 to: % 35.08/10.49 | (2273) ~ (all_0_57_57 = e0) % 35.08/10.49 | % 35.08/10.49 | Equations (989) can reduce 31 to: % 35.08/10.49 | (661) ~ (e1 = e0) % 35.08/10.49 | % 35.08/10.49 | Simplifying 661 yields: % 35.08/10.49 | (134) ~ (e1 = e0) % 35.08/10.49 | % 35.08/10.49 +-Applying beta-rule and splitting (230), into two cases. % 35.08/10.49 |-Branch one: % 35.08/10.49 | (959) all_0_42_42 = e2 % 35.08/10.49 | % 35.08/10.49 | Equations (959) can reduce 272 to: % 35.08/10.49 | (303) $false % 35.08/10.49 | % 35.08/10.49 |-The branch is then unsatisfiable % 35.08/10.49 |-Branch two: % 35.08/10.49 | (272) ~ (all_0_42_42 = e2) % 35.08/10.49 | (26310) all_0_42_42 = e4 | all_0_42_42 = e0 % 35.08/10.49 | % 35.08/10.49 +-Applying beta-rule and splitting (197), into two cases. % 35.08/10.49 |-Branch one: % 35.08/10.49 | (3175) all_0_42_42 = e4 % 35.08/10.49 | % 35.08/10.49 | Equations (3175) can reduce 115 to: % 35.08/10.49 | (844) ~ (all_0_40_40 = e4) % 35.08/10.49 | % 35.08/10.49 | Equations (3175) can reduce 55 to: % 35.08/10.49 | (192) ~ (all_0_41_41 = e4) % 35.08/10.49 | % 35.08/10.49 | Equations (3175) can reduce 119 to: % 35.08/10.49 | (724) ~ (all_0_43_43 = e4) % 35.08/10.49 | % 35.08/10.49 | Simplifying 724 yields: % 35.08/10.49 | (712) ~ (all_0_43_43 = e4) % 35.08/10.49 | % 35.08/10.49 | Equations (3175) can reduce 69 to: % 35.08/10.49 | (1736) ~ (all_0_44_44 = e4) % 35.08/10.49 | % 35.08/10.49 | Simplifying 1736 yields: % 35.08/10.49 | (474) ~ (all_0_44_44 = e4) % 35.08/10.49 | % 35.08/10.49 | Equations (3175) can reduce 272 to: % 35.08/10.49 | (231) ~ (e4 = e2) % 35.08/10.49 | % 35.08/10.49 | Equations (3175) can reduce 25 to: % 35.08/10.49 | (247) ~ (e4 = e1) % 35.08/10.49 | % 35.08/10.49 | From (3175) and (179) follows: % 35.08/10.49 | (3185) op(e4, e2) = all_0_4_4 % 35.08/10.49 | % 35.08/10.49 | From (3175) and (148) follows: % 35.08/10.49 | (3186) op(e4, e2) = e4 % 35.08/10.49 | % 35.08/10.49 +-Applying beta-rule and splitting (150), into two cases. % 35.08/10.49 |-Branch one: % 35.08/10.49 | (398) all_0_41_41 = e0 % 35.08/10.49 | % 35.08/10.49 | Equations (398) can reduce 151 to: % 35.08/10.49 | (288) ~ (all_0_40_40 = e0) % 35.08/10.49 | % 35.08/10.49 | Equations (398) can reduce 11 to: % 35.08/10.49 | (2272) ~ (all_0_57_57 = e0) % 35.08/10.49 | % 35.08/10.49 | Simplifying 2272 yields: % 35.08/10.49 | (2273) ~ (all_0_57_57 = e0) % 35.08/10.49 | % 35.08/10.49 | Equations (398) can reduce 192 to: % 35.08/10.49 | (297) ~ (e4 = e0) % 35.08/10.49 | % 35.08/10.49 | Simplifying 297 yields: % 35.08/10.49 | (4) ~ (e4 = e0) % 35.08/10.49 | % 35.08/10.49 | From (398) and (211) follows: % 35.08/10.49 | (3244) op(e0, e4) = all_0_1_1 % 35.08/10.49 | % 35.08/10.49 | From (398) and (167) follows: % 35.08/10.49 | (26329) op(e4, e3) = e0 % 35.08/10.49 | % 35.08/10.49 +-Applying beta-rule and splitting (191), into two cases. % 35.08/10.49 |-Branch one: % 35.08/10.49 | (965) all_0_43_43 = e2 % 35.08/10.49 | % 35.08/10.49 | Equations (965) can reduce 712 to: % 35.08/10.49 | (261) ~ (e4 = e2) % 35.08/10.49 | % 35.08/10.49 | Simplifying 261 yields: % 35.08/10.49 | (231) ~ (e4 = e2) % 35.08/10.49 | % 35.08/10.49 | Equations (965) can reduce 434 to: % 35.08/10.49 | (577) ~ (e3 = e2) % 35.08/10.49 | % 35.08/10.49 | Simplifying 577 yields: % 35.08/10.49 | (223) ~ (e3 = e2) % 35.08/10.49 | % 35.08/10.49 | From (965) and (99) follows: % 35.08/10.49 | (26335) op(e2, e1) = all_0_6_6 % 35.08/10.49 | % 35.08/10.49 | From (965) and (19) follows: % 35.08/10.49 | (26336) op(e4, e1) = e2 % 35.08/10.49 | % 35.08/10.49 +-Applying beta-rule and splitting (250), into two cases. % 35.08/10.49 |-Branch one: % 35.08/10.49 | (897) all_0_57_57 = e2 % 35.08/10.49 | % 35.08/10.49 | Equations (897) can reduce 377 to: % 35.08/10.49 | (303) $false % 35.08/10.49 | % 35.08/10.49 |-The branch is then unsatisfiable % 35.08/10.49 |-Branch two: % 35.08/10.49 | (377) ~ (all_0_57_57 = e2) % 35.08/10.49 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 35.08/10.49 | % 35.08/10.49 +-Applying beta-rule and splitting (2652), into two cases. % 35.08/10.49 |-Branch one: % 35.08/10.49 | (589) all_0_57_57 = e1 % 35.08/10.49 | % 35.08/10.49 | Equations (589) can reduce 172 to: % 35.08/10.49 | (587) ~ (all_0_56_56 = e1) % 35.08/10.49 | % 35.08/10.49 | Equations (589) can reduce 81 to: % 35.08/10.49 | (1050) ~ (all_0_60_60 = e1) % 35.08/10.49 | % 35.08/10.49 | Simplifying 1050 yields: % 35.08/10.49 | (501) ~ (all_0_60_60 = e1) % 35.08/10.49 | % 35.08/10.49 | Equations (589) can reduce 202 to: % 35.08/10.49 | (605) ~ (e4 = e1) % 35.08/10.49 | % 35.08/10.49 | Simplifying 605 yields: % 35.08/10.49 | (247) ~ (e4 = e1) % 35.08/10.49 | % 35.08/10.49 | Equations (589) can reduce 2590 to: % 35.08/10.49 | (465) ~ (e3 = e1) % 35.08/10.49 | % 35.08/10.49 | Simplifying 465 yields: % 35.08/10.49 | (136) ~ (e3 = e1) % 35.08/10.49 | % 35.08/10.49 | Equations (589) can reduce 2273 to: % 35.08/10.49 | (134) ~ (e1 = e0) % 35.08/10.49 | % 35.08/10.49 | From (589) and (35) follows: % 35.08/10.49 | (3953) op(e1, e3) = all_0_34_34 % 35.08/10.49 | % 35.08/10.49 +-Applying beta-rule and splitting (175), into two cases. % 35.08/10.49 |-Branch one: % 35.08/10.49 | (624) all_0_40_40 = e1 % 35.08/10.49 | % 35.08/10.49 | Equations (624) can reduce 57 to: % 35.08/10.49 | (1799) ~ (all_0_56_56 = e1) % 35.08/10.49 | % 35.08/10.49 | Simplifying 1799 yields: % 35.08/10.49 | (587) ~ (all_0_56_56 = e1) % 35.08/10.49 | % 35.08/10.49 | Equations (624) can reduce 844 to: % 35.08/10.49 | (605) ~ (e4 = e1) % 35.08/10.49 | % 35.08/10.49 | Simplifying 605 yields: % 35.08/10.49 | (247) ~ (e4 = e1) % 35.08/10.49 | % 35.08/10.49 | Equations (624) can reduce 288 to: % 35.08/10.49 | (134) ~ (e1 = e0) % 35.08/10.49 | % 35.08/10.49 +-Applying beta-rule and splitting (139), into two cases. % 35.08/10.49 |-Branch one: % 35.08/10.49 | (614) all_0_43_43 = e4 % 35.08/10.49 | % 35.08/10.49 | Combining equations (965,614) yields a new equation: % 35.08/10.49 | (470) e4 = e2 % 35.08/10.49 | % 35.08/10.49 | Equations (470) can reduce 231 to: % 35.08/10.49 | (303) $false % 35.08/10.49 | % 35.08/10.49 |-The branch is then unsatisfiable % 35.08/10.49 |-Branch two: % 35.08/10.49 | (712) ~ (all_0_43_43 = e4) % 35.08/10.49 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 35.08/10.49 | % 35.08/10.49 +-Applying beta-rule and splitting (713), into two cases. % 35.08/10.49 |-Branch one: % 35.08/10.49 | (714) all_0_50_50 = e4 % 35.08/10.49 | % 35.08/10.49 | Combining equations (627,714) yields a new equation: % 35.08/10.49 | (541) e4 = e1 % 35.08/10.49 | % 35.08/10.49 | Equations (541) can reduce 247 to: % 35.08/10.49 | (303) $false % 35.08/10.49 | % 35.08/10.49 |-The branch is then unsatisfiable % 35.08/10.49 |-Branch two: % 35.08/10.49 | (611) ~ (all_0_50_50 = e4) % 35.08/10.49 | (717) all_0_59_59 = e4 % 35.08/10.49 | % 35.08/10.49 | Equations (717) can reduce 1031 to: % 35.08/10.49 | (30) ~ (e4 = e3) % 35.08/10.49 | % 35.08/10.49 | From (717) and (33) follows: % 35.08/10.49 | (3321) op(e4, e1) = all_0_38_38 % 35.08/10.49 | % 35.08/10.49 | From (717) and (90) follows: % 35.08/10.49 | (3322) op(e0, e1) = e4 % 35.08/10.49 | % 35.08/10.49 +-Applying beta-rule and splitting (200), into two cases. % 35.08/10.49 |-Branch one: % 35.08/10.49 | (1102) all_0_40_40 = e3 % 35.08/10.49 | % 35.08/10.49 | Combining equations (624,1102) yields a new equation: % 35.08/10.49 | (601) e3 = e1 % 35.08/10.49 | % 35.08/10.49 | Equations (601) can reduce 136 to: % 35.08/10.49 | (303) $false % 35.08/10.49 | % 35.08/10.49 |-The branch is then unsatisfiable % 35.08/10.49 |-Branch two: % 35.08/10.49 | (432) ~ (all_0_40_40 = e3) % 35.08/10.49 | (2138) all_0_41_41 = e3 | all_0_43_43 = e3 | all_0_44_44 = e3 % 35.08/10.49 | % 35.08/10.49 | Equations (624) can reduce 432 to: % 35.08/10.49 | (465) ~ (e3 = e1) % 35.08/10.49 | % 35.08/10.49 | Simplifying 465 yields: % 35.08/10.49 | (136) ~ (e3 = e1) % 35.08/10.49 | % 35.08/10.49 +-Applying beta-rule and splitting (145), into two cases. % 35.08/10.49 |-Branch one: % 35.08/10.49 | (1102) all_0_40_40 = e3 % 35.08/10.49 | % 35.08/10.49 | Combining equations (624,1102) yields a new equation: % 35.08/10.49 | (601) e3 = e1 % 35.08/10.49 | % 35.08/10.49 | Equations (601) can reduce 136 to: % 35.08/10.49 | (303) $false % 35.08/10.49 | % 35.08/10.49 |-The branch is then unsatisfiable % 35.08/10.49 |-Branch two: % 35.08/10.49 | (432) ~ (all_0_40_40 = e3) % 35.08/10.49 | (1105) all_0_45_45 = e3 | all_0_52_52 = e3 | all_0_56_56 = e3 % 35.08/10.49 | % 35.08/10.49 +-Applying beta-rule and splitting (531), into two cases. % 35.08/10.49 |-Branch one: % 35.08/10.49 | (332) ~ (all_0_58_58 = e0) % 35.08/10.49 | % 35.08/10.49 | Equations (989) can reduce 332 to: % 35.08/10.49 | (303) $false % 35.08/10.49 | % 35.08/10.49 |-The branch is then unsatisfiable % 35.08/10.49 |-Branch two: % 35.08/10.49 | (989) all_0_58_58 = e0 % 35.08/10.49 | (913) all_0_60_60 = e2 % 35.08/10.49 | % 35.08/10.49 | Equations (913) can reduce 165 to: % 35.08/10.49 | (915) ~ (all_0_44_44 = e2) % 35.08/10.49 | % 35.08/10.49 | Equations (913) can reduce 174 to: % 35.08/10.49 | (594) ~ (all_0_56_56 = e2) % 35.08/10.49 | % 35.08/10.49 | Equations (913) can reduce 501 to: % 35.08/10.49 | (144) ~ (e2 = e1) % 35.08/10.49 | % 35.08/10.49 +-Applying beta-rule and splitting (195), into two cases. % 35.08/10.49 |-Branch one: % 35.08/10.49 | (2081) all_0_44_44 = e3 % 35.08/10.49 | % 35.08/10.49 | Equations (2081) can reduce 474 to: % 35.08/10.49 | (439) ~ (e4 = e3) % 35.08/10.49 | % 35.08/10.49 | Simplifying 439 yields: % 35.08/10.49 | (30) ~ (e4 = e3) % 35.08/10.49 | % 35.08/10.49 | Equations (2081) can reduce 915 to: % 35.08/10.49 | (223) ~ (e3 = e2) % 35.08/10.49 | % 35.08/10.49 | From (2081) and (235) follows: % 35.17/10.49 | (26393) op(e3, e4) = all_0_7_7 % 35.17/10.49 | % 35.17/10.49 +-Applying beta-rule and splitting (1105), into two cases. % 35.17/10.49 |-Branch one: % 35.17/10.49 | (493) all_0_45_45 = e3 % 35.17/10.49 | % 35.17/10.49 | Combining equations (951,493) yields a new equation: % 35.17/10.49 | (453) e3 = e2 % 35.17/10.49 | % 35.17/10.49 | Equations (453) can reduce 223 to: % 35.17/10.49 | (303) $false % 35.17/10.49 | % 35.17/10.49 |-The branch is then unsatisfiable % 35.17/10.49 |-Branch two: % 35.17/10.50 | (1109) ~ (all_0_45_45 = e3) % 35.17/10.50 | (1110) all_0_52_52 = e3 | all_0_56_56 = e3 % 35.17/10.50 | % 35.17/10.50 +-Applying beta-rule and splitting (1110), into two cases. % 35.17/10.50 |-Branch one: % 35.17/10.50 | (425) all_0_52_52 = e3 % 35.17/10.50 | % 35.17/10.50 | Combining equations (425,442) yields a new equation: % 35.17/10.50 | (443) e4 = e3 % 35.17/10.50 | % 35.17/10.50 | Equations (443) can reduce 30 to: % 35.17/10.50 | (303) $false % 35.17/10.50 | % 35.17/10.50 |-The branch is then unsatisfiable % 35.17/10.50 |-Branch two: % 35.17/10.50 | (521) ~ (all_0_52_52 = e3) % 35.17/10.50 | (1111) all_0_56_56 = e3 % 35.17/10.50 | % 35.17/10.50 | From (1111) and (185) follows: % 35.17/10.50 | (3828) op(e3, e4) = all_0_32_32 % 35.17/10.50 | % 35.17/10.50 | From (1111) and (132) follows: % 35.17/10.50 | (1116) op(e0, e4) = e3 % 35.17/10.50 | % 35.17/10.50 | Instantiating formula (29) with e4, e2, e4, all_0_4_4 and discharging atoms op(e4, e2) = all_0_4_4, op(e4, e2) = e4, yields: % 35.17/10.50 | (356) all_0_4_4 = e4 % 35.17/10.50 | % 35.17/10.50 | Instantiating formula (29) with e4, e1, e2, all_0_38_38 and discharging atoms op(e4, e1) = all_0_38_38, op(e4, e1) = e2, yields: % 35.17/10.50 | (5549) all_0_38_38 = e2 % 35.17/10.50 | % 35.17/10.50 | Instantiating formula (29) with e3, e4, all_0_7_7, e2 and discharging atoms op(e3, e4) = all_0_7_7, op(e3, e4) = e2, yields: % 35.17/10.50 | (5545) all_0_7_7 = e2 % 35.17/10.50 | % 35.17/10.50 | Instantiating formula (29) with e3, e4, all_0_32_32, all_0_7_7 and discharging atoms op(e3, e4) = all_0_7_7, op(e3, e4) = all_0_32_32, yields: % 35.17/10.50 | (3592) all_0_7_7 = all_0_32_32 % 35.17/10.50 | % 35.17/10.50 | Instantiating formula (29) with e2, e1, all_0_6_6, e1 and discharging atoms op(e2, e1) = all_0_6_6, op(e2, e1) = e1, yields: % 35.17/10.50 | (26410) all_0_6_6 = e1 % 35.17/10.50 | % 35.17/10.50 | Instantiating formula (29) with e1, e3, all_0_34_34, e3 and discharging atoms op(e1, e3) = all_0_34_34, op(e1, e3) = e3, yields: % 35.17/10.50 | (3957) all_0_34_34 = e3 % 35.17/10.50 | % 35.17/10.50 | Instantiating formula (29) with e0, e4, e3, all_0_1_1 and discharging atoms op(e0, e4) = all_0_1_1, op(e0, e4) = e3, yields: % 35.17/10.50 | (13310) all_0_1_1 = e3 % 35.17/10.50 | % 35.17/10.50 | Combining equations (3592,5545) yields a new equation: % 35.17/10.50 | (15602) all_0_32_32 = e2 % 35.17/10.50 | % 35.17/10.50 | Simplifying 15602 yields: % 35.17/10.50 | (10938) all_0_32_32 = e2 % 35.17/10.50 | % 35.17/10.50 | From (356) and (3185) follows: % 35.17/10.50 | (3186) op(e4, e2) = e4 % 35.17/10.50 | % 35.17/10.50 | From (5549) and (3321) follows: % 35.17/10.50 | (26336) op(e4, e1) = e2 % 35.17/10.50 | % 35.17/10.50 | From (10938) and (3828) follows: % 35.17/10.50 | (25441) op(e3, e4) = e2 % 35.17/10.50 | % 35.17/10.50 | From (26410) and (26335) follows: % 35.17/10.50 | (1166) op(e2, e1) = e1 % 35.17/10.50 | % 35.17/10.50 | From (3957) and (3953) follows: % 35.17/10.50 | (650) op(e1, e3) = e3 % 35.17/10.50 | % 35.17/10.50 | From (13310) and (3244) follows: % 35.17/10.50 | (1116) op(e0, e4) = e3 % 35.17/10.50 | % 35.17/10.50 +-Applying beta-rule and splitting (62), into two cases. % 35.17/10.50 |-Branch one: % 35.17/10.50 | (631) unit = e2 % 35.17/10.50 | % 35.17/10.50 | From (631) and (98) follows: % 35.17/10.50 | (5015) op(e3, e2) = e3 % 35.17/10.50 | % 35.17/10.50 | From (631) and (74) follows: % 35.17/10.50 | (2715) op(e2, e2) = e2 % 35.17/10.50 | % 35.17/10.50 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 35.17/10.50 | (601) e3 = e1 % 35.17/10.50 | % 35.17/10.50 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 35.17/10.50 | (453) e3 = e2 % 35.17/10.50 | % 35.17/10.50 | Combining equations (453,601) yields a new equation: % 35.17/10.50 | (584) e2 = e1 % 35.17/10.50 | % 35.17/10.50 | Simplifying 584 yields: % 35.17/10.50 | (585) e2 = e1 % 35.17/10.50 | % 35.17/10.50 | Equations (585) can reduce 144 to: % 35.17/10.50 | (303) $false % 35.17/10.50 | % 35.17/10.50 |-The branch is then unsatisfiable % 35.17/10.50 |-Branch two: % 35.17/10.50 | (599) ~ (unit = e2) % 35.17/10.50 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 35.17/10.50 | % 35.17/10.50 +-Applying beta-rule and splitting (634), into two cases. % 35.17/10.50 |-Branch one: % 35.17/10.50 | (635) unit = e4 % 35.17/10.50 | % 35.17/10.50 | From (635) and (147) follows: % 35.17/10.50 | (1176) op(e4, e2) = e2 % 35.17/10.50 | % 35.17/10.50 | From (635) and (98) follows: % 35.17/10.50 | (2729) op(e3, e4) = e3 % 35.17/10.50 | % 35.17/10.50 | From (635) and (190) follows: % 35.17/10.50 | (1178) op(e1, e4) = e1 % 35.17/10.50 | % 35.17/10.50 | From (635) and (111) follows: % 35.17/10.50 | (638) op(e0, e4) = e0 % 35.17/10.50 | % 35.17/10.50 | Instantiating formula (29) with e4, e2, e2, e4 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 35.17/10.50 | (470) e4 = e2 % 35.17/10.50 | % 35.17/10.50 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 35.17/10.50 | (453) e3 = e2 % 35.17/10.50 | % 35.17/10.50 | Instantiating formula (29) with e1, e4, e1, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields: % 35.17/10.50 | (541) e4 = e1 % 35.17/10.50 | % 35.17/10.50 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 35.17/10.50 | (497) e3 = e0 % 35.17/10.50 | % 35.17/10.50 | Combining equations (470,541) yields a new equation: % 35.17/10.50 | (584) e2 = e1 % 35.17/10.50 | % 35.17/10.50 | Simplifying 584 yields: % 35.17/10.50 | (585) e2 = e1 % 35.17/10.50 | % 35.17/10.50 | Combining equations (453,497) yields a new equation: % 35.17/10.50 | (403) e2 = e0 % 35.17/10.50 | % 35.17/10.50 | Simplifying 403 yields: % 35.17/10.50 | (385) e2 = e0 % 35.17/10.50 | % 35.17/10.50 | Combining equations (585,385) yields a new equation: % 35.17/10.50 | (670) e1 = e0 % 35.17/10.50 | % 35.17/10.50 | Simplifying 670 yields: % 35.17/10.50 | (590) e1 = e0 % 35.17/10.50 | % 35.17/10.50 | Equations (590) can reduce 134 to: % 35.17/10.50 | (303) $false % 35.17/10.50 | % 35.17/10.50 |-The branch is then unsatisfiable % 35.17/10.50 |-Branch two: % 35.17/10.50 | (484) ~ (unit = e4) % 35.17/10.50 | (647) unit = e3 | unit = e1 | unit = e0 % 35.17/10.50 | % 35.17/10.50 +-Applying beta-rule and splitting (647), into two cases. % 35.17/10.50 |-Branch one: % 35.17/10.50 | (648) unit = e1 % 35.17/10.50 | % 35.17/10.50 | Equations (648) can reduce 537 to: % 35.17/10.50 | (134) ~ (e1 = e0) % 35.17/10.50 | % 35.17/10.50 | From (648) and (130) follows: % 35.17/10.50 | (617) op(e4, e1) = e4 % 35.17/10.50 | % 35.17/10.50 | From (648) and (74) follows: % 35.17/10.50 | (769) op(e2, e1) = e2 % 35.17/10.50 | % 35.17/10.50 | From (648) and (111) follows: % 35.17/10.50 | (770) op(e0, e1) = e0 % 35.17/10.50 | % 35.17/10.50 | Instantiating formula (29) with e4, e1, e4, e2 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e2, yields: % 35.17/10.50 | (470) e4 = e2 % 35.17/10.50 | % 35.17/10.50 | Instantiating formula (29) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 35.17/10.50 | (585) e2 = e1 % 35.17/10.50 | % 35.17/10.50 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 35.17/10.50 | (654) e4 = e0 % 35.17/10.50 | % 35.17/10.50 | Combining equations (470,654) yields a new equation: % 35.17/10.50 | (403) e2 = e0 % 35.17/10.50 | % 35.17/10.50 | Simplifying 403 yields: % 35.17/10.50 | (385) e2 = e0 % 35.17/10.50 | % 35.17/10.50 | Combining equations (385,585) yields a new equation: % 35.17/10.50 | (590) e1 = e0 % 35.17/10.50 | % 35.17/10.50 | Equations (590) can reduce 134 to: % 35.17/10.50 | (303) $false % 35.17/10.50 | % 35.17/10.50 |-The branch is then unsatisfiable % 35.17/10.50 |-Branch two: % 35.17/10.50 | (510) ~ (unit = e1) % 35.17/10.50 | (659) unit = e3 | unit = e0 % 35.17/10.50 | % 35.17/10.50 +-Applying beta-rule and splitting (659), into two cases. % 35.17/10.50 |-Branch one: % 35.17/10.50 | (660) unit = e0 % 35.17/10.50 | % 35.17/10.50 | Equations (660) can reduce 537 to: % 35.17/10.50 | (303) $false % 35.17/10.50 | % 35.17/10.50 |-The branch is then unsatisfiable % 35.17/10.50 |-Branch two: % 35.17/10.50 | (537) ~ (unit = e0) % 35.17/10.50 | (674) unit = e3 % 35.17/10.50 | % 35.17/10.50 | From (674) and (17) follows: % 35.17/10.50 | (1207) op(e3, e4) = e4 % 35.17/10.50 | % 35.17/10.50 | From (674) and (130) follows: % 35.17/10.50 | (2756) op(e4, e3) = e4 % 35.17/10.50 | % 35.17/10.50 | From (674) and (98) follows: % 35.17/10.50 | (1208) op(e3, e3) = e3 % 35.17/10.50 | % 35.17/10.50 | From (674) and (190) follows: % 35.17/10.50 | (468) op(e1, e3) = e1 % 35.17/10.50 | % 35.17/10.50 | Instantiating formula (29) with e4, e3, e4, e0 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e0, yields: % 35.17/10.50 | (654) e4 = e0 % 35.17/10.50 | % 35.17/10.50 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 35.17/10.50 | (470) e4 = e2 % 35.17/10.50 | % 35.17/10.50 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 35.17/10.50 | (443) e4 = e3 % 35.17/10.50 | % 35.17/10.50 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 35.17/10.50 | (601) e3 = e1 % 35.17/10.50 | % 35.17/10.50 | Combining equations (654,470) yields a new equation: % 35.17/10.50 | (385) e2 = e0 % 35.17/10.50 | % 35.17/10.50 | Combining equations (443,470) yields a new equation: % 35.17/10.50 | (452) e3 = e2 % 35.17/10.50 | % 35.17/10.50 | Simplifying 452 yields: % 35.17/10.50 | (453) e3 = e2 % 35.17/10.50 | % 35.17/10.50 | Combining equations (453,601) yields a new equation: % 35.17/10.50 | (584) e2 = e1 % 35.17/10.50 | % 35.17/10.50 | Simplifying 584 yields: % 35.17/10.50 | (585) e2 = e1 % 35.17/10.50 | % 35.17/10.50 | Combining equations (585,385) yields a new equation: % 35.17/10.50 | (670) e1 = e0 % 35.17/10.50 | % 35.17/10.50 | Simplifying 670 yields: % 35.17/10.50 | (590) e1 = e0 % 35.17/10.50 | % 35.17/10.50 | Equations (590) can reduce 134 to: % 35.17/10.50 | (303) $false % 35.17/10.50 | % 35.17/10.50 |-The branch is then unsatisfiable % 35.17/10.50 |-Branch two: % 35.17/10.50 | (310) ~ (all_0_44_44 = e3) % 35.17/10.50 | (7006) all_0_47_47 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 35.17/10.50 | % 35.17/10.50 +-Applying beta-rule and splitting (1105), into two cases. % 35.17/10.50 |-Branch one: % 35.17/10.50 | (493) all_0_45_45 = e3 % 35.17/10.50 | % 35.17/10.50 | Combining equations (951,493) yields a new equation: % 35.17/10.50 | (453) e3 = e2 % 35.17/10.50 | % 35.17/10.50 | Equations (453) can reduce 223 to: % 35.17/10.50 | (303) $false % 35.17/10.50 | % 35.17/10.50 |-The branch is then unsatisfiable % 35.17/10.50 |-Branch two: % 35.17/10.50 | (1109) ~ (all_0_45_45 = e3) % 35.17/10.50 | (1110) all_0_52_52 = e3 | all_0_56_56 = e3 % 35.17/10.50 | % 35.17/10.50 +-Applying beta-rule and splitting (1110), into two cases. % 35.17/10.50 |-Branch one: % 35.17/10.50 | (425) all_0_52_52 = e3 % 35.17/10.50 | % 35.17/10.50 | Combining equations (425,442) yields a new equation: % 35.17/10.50 | (443) e4 = e3 % 35.17/10.50 | % 35.17/10.50 | Equations (443) can reduce 30 to: % 35.17/10.50 | (303) $false % 35.17/10.50 | % 35.17/10.50 |-The branch is then unsatisfiable % 35.17/10.50 |-Branch two: % 35.17/10.50 | (521) ~ (all_0_52_52 = e3) % 35.17/10.50 | (1111) all_0_56_56 = e3 % 35.17/10.50 | % 35.17/10.50 | Equations (1111) can reduce 594 to: % 35.17/10.50 | (223) ~ (e3 = e2) % 35.17/10.50 | % 35.17/10.50 | Equations (1111) can reduce 587 to: % 35.17/10.50 | (136) ~ (e3 = e1) % 35.17/10.50 | % 35.17/10.50 | Equations (1111) can reduce 296 to: % 35.17/10.50 | (70) ~ (e3 = e0) % 35.17/10.50 | % 35.17/10.51 +-Applying beta-rule and splitting (7006), into two cases. % 35.17/10.51 |-Branch one: % 35.17/10.51 | (309) all_0_47_47 = e3 % 35.17/10.51 | % 35.17/10.51 | Combining equations (306,309) yields a new equation: % 35.17/10.51 | (497) e3 = e0 % 35.17/10.51 | % 35.17/10.51 | Equations (497) can reduce 70 to: % 35.17/10.51 | (303) $false % 35.17/10.51 | % 35.17/10.51 |-The branch is then unsatisfiable % 35.17/10.51 |-Branch two: % 35.17/10.51 | (516) ~ (all_0_47_47 = e3) % 35.17/10.51 | (7012) all_0_55_55 = e3 | all_0_60_60 = e3 % 35.17/10.51 | % 35.17/10.51 +-Applying beta-rule and splitting (7012), into two cases. % 35.17/10.51 |-Branch one: % 35.17/10.51 | (2165) all_0_55_55 = e3 % 35.17/10.51 | % 35.17/10.51 | Combining equations (2165,530) yields a new equation: % 35.17/10.51 | (680) e3 = e1 % 35.17/10.51 | % 35.17/10.51 | Simplifying 680 yields: % 35.17/10.51 | (601) e3 = e1 % 35.17/10.51 | % 35.17/10.51 | Equations (601) can reduce 136 to: % 35.17/10.51 | (303) $false % 35.17/10.51 | % 35.17/10.51 |-The branch is then unsatisfiable % 35.17/10.51 |-Branch two: % 35.17/10.51 | (314) ~ (all_0_55_55 = e3) % 35.17/10.51 | (1937) all_0_60_60 = e3 % 35.17/10.51 | % 35.17/10.51 | Combining equations (1937,913) yields a new equation: % 35.17/10.51 | (452) e3 = e2 % 35.17/10.51 | % 35.17/10.51 | Simplifying 452 yields: % 35.17/10.51 | (453) e3 = e2 % 35.17/10.51 | % 35.17/10.51 | Equations (453) can reduce 223 to: % 35.17/10.51 | (303) $false % 35.17/10.51 | % 35.17/10.51 |-The branch is then unsatisfiable % 35.17/10.51 |-Branch two: % 35.17/10.51 | (683) ~ (all_0_40_40 = e1) % 35.17/10.51 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 35.17/10.51 | % 35.17/10.51 +-Applying beta-rule and splitting (684), into two cases. % 35.17/10.51 |-Branch one: % 35.17/10.51 | (748) all_0_48_48 = e1 % 35.17/10.51 | % 35.17/10.51 | Combining equations (380,748) yields a new equation: % 35.17/10.51 | (590) e1 = e0 % 35.17/10.51 | % 35.17/10.51 | Equations (590) can reduce 134 to: % 35.17/10.51 | (303) $false % 35.17/10.51 | % 35.17/10.51 |-The branch is then unsatisfiable % 35.17/10.51 |-Branch two: % 35.17/10.51 | (802) ~ (all_0_48_48 = e1) % 35.17/10.51 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 35.17/10.51 | % 35.17/10.51 +-Applying beta-rule and splitting (807), into two cases. % 35.17/10.51 |-Branch one: % 35.17/10.51 | (1070) all_0_52_52 = e1 % 35.17/10.51 | % 35.17/10.51 | Combining equations (1070,442) yields a new equation: % 35.17/10.51 | (541) e4 = e1 % 35.17/10.51 | % 35.17/10.51 | Equations (541) can reduce 247 to: % 35.17/10.51 | (303) $false % 35.17/10.51 | % 35.17/10.51 |-The branch is then unsatisfiable % 35.17/10.51 |-Branch two: % 35.17/10.51 | (502) ~ (all_0_52_52 = e1) % 35.17/10.51 | (583) all_0_56_56 = e1 % 35.17/10.51 | % 35.17/10.51 | Equations (583) can reduce 587 to: % 35.17/10.51 | (303) $false % 35.17/10.51 | % 35.17/10.51 |-The branch is then unsatisfiable % 35.17/10.51 |-Branch two: % 35.17/10.51 | (592) ~ (all_0_57_57 = e1) % 35.17/10.51 | (3062) all_0_57_57 = e3 | all_0_57_57 = e0 % 35.17/10.51 | % 35.17/10.51 +-Applying beta-rule and splitting (3062), into two cases. % 35.17/10.51 |-Branch one: % 35.17/10.51 | (407) all_0_57_57 = e0 % 35.17/10.51 | % 35.17/10.51 | Equations (407) can reduce 2273 to: % 35.17/10.51 | (303) $false % 35.17/10.51 | % 35.17/10.51 |-The branch is then unsatisfiable % 35.17/10.51 |-Branch two: % 35.17/10.51 | (2273) ~ (all_0_57_57 = e0) % 35.17/10.51 | (1001) all_0_57_57 = e3 % 35.17/10.51 | % 35.17/10.51 | Equations (1001) can reduce 2590 to: % 35.17/10.51 | (303) $false % 35.17/10.51 | % 35.17/10.51 |-The branch is then unsatisfiable % 35.17/10.51 |-Branch two: % 35.17/10.51 | (253) ~ (all_0_43_43 = e2) % 35.17/10.51 | (1634) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e1 % 35.17/10.51 | % 35.17/10.51 +-Applying beta-rule and splitting (210), into two cases. % 35.17/10.51 |-Branch one: % 35.17/10.51 | (965) all_0_43_43 = e2 % 35.17/10.51 | % 35.17/10.51 | Equations (965) can reduce 253 to: % 35.17/10.51 | (303) $false % 35.17/10.51 | % 35.17/10.51 |-The branch is then unsatisfiable % 35.17/10.51 |-Branch two: % 35.17/10.51 | (253) ~ (all_0_43_43 = e2) % 35.17/10.51 | (26537) all_0_46_46 = e2 | all_0_50_50 = e2 | all_0_59_59 = e2 % 35.17/10.51 | % 35.17/10.51 +-Applying beta-rule and splitting (243), into two cases. % 35.17/10.51 |-Branch one: % 35.17/10.51 | (877) all_0_56_56 = e4 % 35.17/10.51 | % 35.17/10.51 | Equations (877) can reduce 345 to: % 35.17/10.51 | (303) $false % 35.17/10.51 | % 35.17/10.51 |-The branch is then unsatisfiable % 35.17/10.51 |-Branch two: % 35.17/10.51 | (345) ~ (all_0_56_56 = e4) % 35.17/10.51 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 35.17/10.51 | % 35.17/10.51 +-Applying beta-rule and splitting (44), into two cases. % 35.17/10.51 |-Branch one: % 35.17/10.51 | (624) all_0_40_40 = e1 % 35.17/10.51 | % 35.17/10.51 | Equations (624) can reduce 57 to: % 35.17/10.51 | (1799) ~ (all_0_56_56 = e1) % 35.17/10.51 | % 35.17/10.51 | Simplifying 1799 yields: % 35.17/10.51 | (587) ~ (all_0_56_56 = e1) % 35.17/10.51 | % 35.17/10.51 +-Applying beta-rule and splitting (4489), into two cases. % 35.17/10.51 |-Branch one: % 35.17/10.51 | (344) all_0_58_58 = e4 % 35.17/10.51 | % 35.17/10.51 | Combining equations (344,989) yields a new equation: % 35.17/10.51 | (1573) e4 = e0 % 35.17/10.51 | % 35.17/10.51 | Simplifying 1573 yields: % 35.17/10.51 | (654) e4 = e0 % 35.17/10.51 | % 35.17/10.51 | Equations (654) can reduce 4 to: % 35.17/10.51 | (303) $false % 35.17/10.51 | % 35.17/10.51 |-The branch is then unsatisfiable % 35.17/10.51 |-Branch two: % 35.17/10.51 | (3161) ~ (all_0_58_58 = e4) % 35.17/10.51 | (4996) all_0_59_59 = e4 | all_0_60_60 = e4 % 35.17/10.51 | % 35.17/10.51 +-Applying beta-rule and splitting (4996), into two cases. % 35.17/10.51 |-Branch one: % 35.17/10.51 | (717) all_0_59_59 = e4 % 35.17/10.51 | % 35.17/10.51 | Equations (717) can reduce 1031 to: % 35.17/10.51 | (30) ~ (e4 = e3) % 35.17/10.51 | % 35.17/10.51 | Equations (717) can reduce 603 to: % 35.17/10.51 | (247) ~ (e4 = e1) % 35.17/10.51 | % 35.17/10.51 +-Applying beta-rule and splitting (145), into two cases. % 35.17/10.51 |-Branch one: % 35.17/10.51 | (1102) all_0_40_40 = e3 % 35.17/10.51 | % 35.17/10.51 | Combining equations (1102,624) yields a new equation: % 35.17/10.51 | (680) e3 = e1 % 35.17/10.51 | % 35.17/10.51 | Simplifying 680 yields: % 35.17/10.51 | (601) e3 = e1 % 35.17/10.51 | % 35.17/10.51 | Equations (601) can reduce 136 to: % 35.17/10.51 | (303) $false % 35.17/10.51 | % 35.17/10.51 |-The branch is then unsatisfiable % 35.17/10.51 |-Branch two: % 35.17/10.51 | (432) ~ (all_0_40_40 = e3) % 35.17/10.51 | (1105) all_0_45_45 = e3 | all_0_52_52 = e3 | all_0_56_56 = e3 % 35.17/10.51 | % 35.17/10.51 +-Applying beta-rule and splitting (1105), into two cases. % 35.17/10.51 |-Branch one: % 35.17/10.51 | (493) all_0_45_45 = e3 % 35.17/10.51 | % 35.17/10.51 | Combining equations (951,493) yields a new equation: % 35.17/10.51 | (453) e3 = e2 % 35.17/10.51 | % 35.17/10.51 | Equations (453) can reduce 223 to: % 35.17/10.51 | (303) $false % 35.17/10.51 | % 35.17/10.51 |-The branch is then unsatisfiable % 35.17/10.51 |-Branch two: % 35.17/10.51 | (1109) ~ (all_0_45_45 = e3) % 35.17/10.51 | (1110) all_0_52_52 = e3 | all_0_56_56 = e3 % 35.17/10.51 | % 35.17/10.51 +-Applying beta-rule and splitting (1110), into two cases. % 35.17/10.51 |-Branch one: % 35.17/10.51 | (425) all_0_52_52 = e3 % 35.17/10.51 | % 35.17/10.51 | Combining equations (425,442) yields a new equation: % 35.17/10.51 | (443) e4 = e3 % 35.17/10.51 | % 35.17/10.51 | Equations (443) can reduce 30 to: % 35.17/10.51 | (303) $false % 35.17/10.51 | % 35.17/10.51 |-The branch is then unsatisfiable % 35.17/10.51 |-Branch two: % 35.17/10.51 | (521) ~ (all_0_52_52 = e3) % 35.17/10.51 | (1111) all_0_56_56 = e3 % 35.17/10.51 | % 35.17/10.51 | Equations (1111) can reduce 594 to: % 35.17/10.51 | (223) ~ (e3 = e2) % 35.17/10.51 | % 35.17/10.51 | Equations (1111) can reduce 587 to: % 35.17/10.51 | (136) ~ (e3 = e1) % 35.17/10.51 | % 35.17/10.51 +-Applying beta-rule and splitting (245), into two cases. % 35.17/10.51 |-Branch one: % 35.17/10.51 | (583) all_0_56_56 = e1 % 35.17/10.51 | % 35.17/10.51 | Combining equations (1111,583) yields a new equation: % 35.17/10.51 | (680) e3 = e1 % 35.17/10.51 | % 35.17/10.51 | Simplifying 680 yields: % 35.17/10.51 | (601) e3 = e1 % 35.17/10.51 | % 35.17/10.51 | Equations (601) can reduce 136 to: % 35.17/10.51 | (303) $false % 35.17/10.51 | % 35.17/10.51 |-The branch is then unsatisfiable % 35.17/10.51 |-Branch two: % 35.17/10.51 | (587) ~ (all_0_56_56 = e1) % 35.17/10.51 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 35.17/10.51 | % 35.17/10.51 +-Applying beta-rule and splitting (26537), into two cases. % 35.17/10.51 |-Branch one: % 35.17/10.51 | (252) all_0_46_46 = e2 % 35.17/10.51 | % 35.17/10.51 | Combining equations (451,252) yields a new equation: % 35.17/10.51 | (452) e3 = e2 % 35.17/10.51 | % 35.17/10.51 | Simplifying 452 yields: % 35.17/10.51 | (453) e3 = e2 % 35.17/10.51 | % 35.17/10.51 | Equations (453) can reduce 223 to: % 35.17/10.51 | (303) $false % 35.17/10.51 | % 35.17/10.51 |-The branch is then unsatisfiable % 35.17/10.51 |-Branch two: % 35.17/10.51 | (25396) ~ (all_0_46_46 = e2) % 35.17/10.51 | (26583) all_0_50_50 = e2 | all_0_59_59 = e2 % 35.17/10.51 | % 35.17/10.51 +-Applying beta-rule and splitting (588), into two cases. % 35.17/10.51 |-Branch one: % 35.17/10.51 | (589) all_0_57_57 = e1 % 35.17/10.51 | % 35.17/10.51 | Equations (589) can reduce 377 to: % 35.17/10.51 | (565) ~ (e2 = e1) % 35.17/10.51 | % 35.17/10.51 | Simplifying 565 yields: % 35.17/10.51 | (144) ~ (e2 = e1) % 35.17/10.51 | % 35.17/10.51 +-Applying beta-rule and splitting (26583), into two cases. % 35.17/10.51 |-Branch one: % 35.17/10.51 | (364) all_0_50_50 = e2 % 35.17/10.51 | % 35.17/10.51 | Combining equations (627,364) yields a new equation: % 35.17/10.51 | (585) e2 = e1 % 35.17/10.51 | % 35.17/10.51 | Equations (585) can reduce 144 to: % 35.17/10.51 | (303) $false % 35.17/10.51 | % 35.17/10.51 |-The branch is then unsatisfiable % 35.17/10.51 |-Branch two: % 35.17/10.51 | (258) ~ (all_0_50_50 = e2) % 35.17/10.51 | (909) all_0_59_59 = e2 % 35.17/10.51 | % 35.17/10.51 | Combining equations (909,717) yields a new equation: % 35.17/10.51 | (470) e4 = e2 % 35.17/10.51 | % 35.17/10.51 | Equations (470) can reduce 231 to: % 35.17/10.51 | (303) $false % 35.17/10.51 | % 35.17/10.51 |-The branch is then unsatisfiable % 35.17/10.51 |-Branch two: % 35.17/10.51 | (592) ~ (all_0_57_57 = e1) % 35.17/10.51 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 35.17/10.51 | % 35.17/10.51 +-Applying beta-rule and splitting (593), into two cases. % 35.17/10.51 |-Branch one: % 35.17/10.51 | (600) all_0_59_59 = e1 % 35.17/10.51 | % 35.17/10.51 | Combining equations (600,717) yields a new equation: % 35.17/10.51 | (541) e4 = e1 % 35.17/10.51 | % 35.17/10.51 | Equations (541) can reduce 247 to: % 35.17/10.51 | (303) $false % 35.17/10.51 | % 35.17/10.51 |-The branch is then unsatisfiable % 35.17/10.51 |-Branch two: % 35.17/10.51 | (603) ~ (all_0_59_59 = e1) % 35.17/10.51 | (604) all_0_60_60 = e1 % 35.17/10.51 | % 35.17/10.51 | Equations (604) can reduce 501 to: % 35.17/10.51 | (303) $false % 35.17/10.51 | % 35.17/10.51 |-The branch is then unsatisfiable % 35.17/10.51 |-Branch two: % 35.17/10.51 | (348) ~ (all_0_59_59 = e4) % 35.17/10.51 | (1510) all_0_60_60 = e4 % 35.17/10.51 | % 35.17/10.51 | Equations (1510) can reduce 350 to: % 35.17/10.51 | (303) $false % 35.17/10.51 | % 35.17/10.51 |-The branch is then unsatisfiable % 35.17/10.51 |-Branch two: % 35.17/10.51 | (683) ~ (all_0_40_40 = e1) % 35.17/10.51 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 35.17/10.51 | % 35.17/10.51 +-Applying beta-rule and splitting (688), into two cases. % 35.17/10.51 |-Branch one: % 35.17/10.51 | (696) all_0_41_41 = e1 % 35.17/10.51 | % 35.17/10.51 | Combining equations (398,696) yields a new equation: % 35.17/10.51 | (590) e1 = e0 % 35.17/10.51 | % 35.17/10.51 | Equations (590) can reduce 134 to: % 35.17/10.51 | (303) $false % 35.17/10.51 | % 35.17/10.51 |-The branch is then unsatisfiable % 35.17/10.51 |-Branch two: % 35.17/10.51 | (699) ~ (all_0_41_41 = e1) % 35.17/10.51 | (700) all_0_43_43 = e1 | all_0_44_44 = e1 % 35.17/10.51 | % 35.17/10.51 +-Applying beta-rule and splitting (700), into two cases. % 35.17/10.51 |-Branch one: % 35.17/10.51 | (618) all_0_43_43 = e1 % 35.17/10.51 | % 35.17/10.51 | Equations (618) can reduce 622 to: % 35.17/10.51 | (303) $false % 35.17/10.51 | % 35.17/10.51 |-The branch is then unsatisfiable % 35.17/10.51 |-Branch two: % 35.17/10.51 | (622) ~ (all_0_43_43 = e1) % 35.17/10.51 | (705) all_0_44_44 = e1 % 35.17/10.51 | % 35.17/10.51 | Equations (705) can reduce 512 to: % 35.17/10.51 | (303) $false % 35.17/10.51 | % 35.17/10.51 |-The branch is then unsatisfiable % 35.17/10.52 |-Branch two: % 35.17/10.52 | (326) ~ (all_0_41_41 = e0) % 35.17/10.52 | (401) all_0_49_49 = e0 | all_0_57_57 = e0 % 35.17/10.52 | % 35.17/10.52 +-Applying beta-rule and splitting (139), into two cases. % 35.17/10.52 |-Branch one: % 35.17/10.52 | (614) all_0_43_43 = e4 % 35.17/10.52 | % 35.17/10.52 | Equations (614) can reduce 712 to: % 35.17/10.52 | (303) $false % 35.17/10.52 | % 35.17/10.52 |-The branch is then unsatisfiable % 35.17/10.52 |-Branch two: % 35.17/10.52 | (712) ~ (all_0_43_43 = e4) % 35.17/10.52 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 35.17/10.52 | % 35.17/10.52 +-Applying beta-rule and splitting (713), into two cases. % 35.17/10.52 |-Branch one: % 35.17/10.52 | (714) all_0_50_50 = e4 % 35.17/10.52 | % 35.17/10.52 | Combining equations (627,714) yields a new equation: % 35.17/10.52 | (541) e4 = e1 % 35.17/10.52 | % 35.17/10.52 | Equations (541) can reduce 247 to: % 35.17/10.52 | (303) $false % 35.17/10.52 | % 35.17/10.52 |-The branch is then unsatisfiable % 35.17/10.52 |-Branch two: % 35.17/10.52 | (611) ~ (all_0_50_50 = e4) % 35.17/10.52 | (717) all_0_59_59 = e4 % 35.17/10.52 | % 35.17/10.52 +-Applying beta-rule and splitting (210), into two cases. % 35.17/10.52 |-Branch one: % 35.17/10.52 | (965) all_0_43_43 = e2 % 35.17/10.52 | % 35.17/10.52 | Equations (965) can reduce 117 to: % 35.17/10.52 | (51) ~ (e2 = e0) % 35.17/10.52 | % 35.17/10.52 +-Applying beta-rule and splitting (401), into two cases. % 35.17/10.52 |-Branch one: % 35.17/10.52 | (384) all_0_49_49 = e0 % 35.17/10.52 | % 35.17/10.52 | Combining equations (384,368) yields a new equation: % 35.17/10.52 | (385) e2 = e0 % 35.17/10.52 | % 35.17/10.52 | Equations (385) can reduce 51 to: % 35.17/10.52 | (303) $false % 35.17/10.52 | % 35.17/10.52 |-The branch is then unsatisfiable % 35.17/10.52 |-Branch two: % 35.17/10.52 | (387) ~ (all_0_49_49 = e0) % 35.17/10.52 | (407) all_0_57_57 = e0 % 35.17/10.52 | % 35.17/10.52 | Equations (407) can reduce 2273 to: % 35.17/10.52 | (303) $false % 35.17/10.52 | % 35.17/10.52 |-The branch is then unsatisfiable % 35.17/10.52 |-Branch two: % 35.17/10.52 | (253) ~ (all_0_43_43 = e2) % 35.17/10.52 | (26537) all_0_46_46 = e2 | all_0_50_50 = e2 | all_0_59_59 = e2 % 35.17/10.52 | % 35.17/10.52 +-Applying beta-rule and splitting (26537), into two cases. % 35.17/10.52 |-Branch one: % 35.17/10.52 | (252) all_0_46_46 = e2 % 35.17/10.52 | % 35.17/10.52 | Combining equations (451,252) yields a new equation: % 35.17/10.52 | (452) e3 = e2 % 35.17/10.52 | % 35.17/10.52 | Simplifying 452 yields: % 35.17/10.52 | (453) e3 = e2 % 35.17/10.52 | % 35.17/10.52 | Equations (453) can reduce 223 to: % 35.17/10.52 | (303) $false % 35.17/10.52 | % 35.17/10.52 |-The branch is then unsatisfiable % 35.17/10.52 |-Branch two: % 35.17/10.52 | (25396) ~ (all_0_46_46 = e2) % 35.17/10.52 | (26583) all_0_50_50 = e2 | all_0_59_59 = e2 % 35.17/10.52 | % 35.17/10.52 +-Applying beta-rule and splitting (26583), into two cases. % 35.17/10.52 |-Branch one: % 35.17/10.52 | (364) all_0_50_50 = e2 % 35.17/10.52 | % 35.17/10.52 | Combining equations (627,364) yields a new equation: % 35.17/10.52 | (585) e2 = e1 % 35.17/10.52 | % 35.17/10.52 | Equations (585) can reduce 144 to: % 35.17/10.52 | (303) $false % 35.17/10.52 | % 35.17/10.52 |-The branch is then unsatisfiable % 35.17/10.52 |-Branch two: % 35.17/10.52 | (258) ~ (all_0_50_50 = e2) % 35.17/10.52 | (909) all_0_59_59 = e2 % 35.17/10.52 | % 35.17/10.52 | Combining equations (909,717) yields a new equation: % 35.17/10.52 | (470) e4 = e2 % 35.17/10.52 | % 35.17/10.52 | Equations (470) can reduce 231 to: % 35.17/10.52 | (303) $false % 35.17/10.52 | % 35.17/10.52 |-The branch is then unsatisfiable % 35.17/10.52 |-Branch two: % 35.17/10.52 | (6245) ~ (all_0_42_42 = e4) % 35.17/10.52 | (6246) all_0_54_54 = e4 | all_0_58_58 = e4 % 35.17/10.52 | % 35.17/10.52 +-Applying beta-rule and splitting (243), into two cases. % 35.17/10.52 |-Branch one: % 35.17/10.52 | (877) all_0_56_56 = e4 % 35.17/10.52 | % 35.17/10.52 | Equations (877) can reduce 345 to: % 35.17/10.52 | (303) $false % 35.17/10.52 | % 35.17/10.52 |-The branch is then unsatisfiable % 35.17/10.52 |-Branch two: % 35.17/10.52 | (345) ~ (all_0_56_56 = e4) % 35.17/10.52 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 35.17/10.52 | % 35.17/10.52 +-Applying beta-rule and splitting (4489), into two cases. % 35.17/10.52 |-Branch one: % 35.17/10.52 | (344) all_0_58_58 = e4 % 35.17/10.52 | % 35.17/10.52 | Combining equations (989,344) yields a new equation: % 35.17/10.52 | (654) e4 = e0 % 35.17/10.52 | % 35.17/10.52 | Equations (654) can reduce 4 to: % 35.17/10.52 | (303) $false % 35.17/10.52 | % 35.17/10.52 |-The branch is then unsatisfiable % 35.17/10.52 |-Branch two: % 35.17/10.52 | (3161) ~ (all_0_58_58 = e4) % 35.17/10.52 | (4996) all_0_59_59 = e4 | all_0_60_60 = e4 % 35.17/10.52 | % 35.17/10.52 | Equations (989) can reduce 3161 to: % 35.17/10.52 | (297) ~ (e4 = e0) % 35.17/10.52 | % 35.17/10.52 | Simplifying 297 yields: % 35.17/10.52 | (4) ~ (e4 = e0) % 35.17/10.52 | % 35.17/10.52 +-Applying beta-rule and splitting (6246), into two cases. % 35.17/10.52 |-Branch one: % 35.17/10.52 | (469) all_0_54_54 = e4 % 35.17/10.52 | % 35.17/10.52 | Combining equations (271,469) yields a new equation: % 35.17/10.52 | (470) e4 = e2 % 35.17/10.52 | % 35.17/10.52 | Equations (470) can reduce 231 to: % 35.17/10.52 | (303) $false % 35.17/10.52 | % 35.17/10.52 |-The branch is then unsatisfiable % 35.17/10.52 |-Branch two: % 35.17/10.52 | (472) ~ (all_0_54_54 = e4) % 35.17/10.52 | (344) all_0_58_58 = e4 % 35.17/10.52 | % 35.17/10.52 | Combining equations (989,344) yields a new equation: % 35.17/10.52 | (654) e4 = e0 % 35.17/10.52 | % 35.17/10.52 | Equations (654) can reduce 4 to: % 35.17/10.52 | (303) $false % 35.17/10.52 | % 35.17/10.52 |-The branch is then unsatisfiable % 35.17/10.52 |-Branch two: % 35.17/10.52 | (2167) ~ (all_0_49_49 = e2) % 35.17/10.52 | (2168) all_0_49_49 = e1 | all_0_49_49 = e0 % 35.17/10.52 | % 35.17/10.52 +-Applying beta-rule and splitting (2168), into two cases. % 35.17/10.52 |-Branch one: % 35.17/10.52 | (1580) all_0_49_49 = e1 % 35.17/10.52 | % 35.17/10.52 | Equations (1580) can reduce 506 to: % 35.17/10.52 | (303) $false % 35.17/10.52 | % 35.17/10.52 |-The branch is then unsatisfiable % 35.17/10.52 |-Branch two: % 35.17/10.52 | (506) ~ (all_0_49_49 = e1) % 35.17/10.52 | (384) all_0_49_49 = e0 % 35.17/10.52 | % 35.17/10.52 | Equations (384) can reduce 387 to: % 35.17/10.52 | (303) $false % 35.17/10.52 | % 35.17/10.52 |-The branch is then unsatisfiable % 35.17/10.52 |-Branch two: % 35.17/10.52 | (292) ~ (all_0_48_48 = e0) % 35.17/10.52 | (383) all_0_49_49 = e0 | all_0_51_51 = e0 % 35.17/10.52 | % 35.17/10.52 +-Applying beta-rule and splitting (383), into two cases. % 35.17/10.52 |-Branch one: % 35.17/10.52 | (384) all_0_49_49 = e0 % 35.17/10.52 | % 35.17/10.52 | Equations (384) can reduce 387 to: % 35.17/10.52 | (303) $false % 35.17/10.52 | % 35.17/10.52 |-The branch is then unsatisfiable % 35.17/10.52 |-Branch two: % 35.17/10.52 | (387) ~ (all_0_49_49 = e0) % 35.17/10.52 | (388) all_0_51_51 = e0 % 35.17/10.52 | % 35.17/10.52 | Equations (388) can reduce 2347 to: % 35.17/10.52 | (303) $false % 35.17/10.52 | % 35.17/10.52 |-The branch is then unsatisfiable % 35.17/10.52 |-Branch two: % 35.17/10.52 | (445) ~ (all_0_52_52 = e4) % 35.17/10.52 | (446) all_0_54_54 = e4 | all_0_55_55 = e4 % 35.17/10.52 | % 35.17/10.52 +-Applying beta-rule and splitting (446), into two cases. % 35.17/10.52 |-Branch one: % 35.17/10.52 | (469) all_0_54_54 = e4 % 35.17/10.52 | % 35.17/10.52 | Combining equations (271,469) yields a new equation: % 35.17/10.52 | (470) e4 = e2 % 35.17/10.52 | % 35.17/10.52 | Equations (470) can reduce 231 to: % 35.17/10.52 | (303) $false % 35.17/10.52 | % 35.17/10.52 |-The branch is then unsatisfiable % 35.17/10.52 |-Branch two: % 35.17/10.52 | (472) ~ (all_0_54_54 = e4) % 35.17/10.52 | (473) all_0_55_55 = e4 % 35.17/10.52 | % 35.17/10.52 | Combining equations (473,530) yields a new equation: % 35.17/10.52 | (540) e4 = e1 % 35.17/10.52 | % 35.17/10.52 | Simplifying 540 yields: % 35.17/10.52 | (541) e4 = e1 % 35.17/10.52 | % 35.17/10.52 | Equations (541) can reduce 247 to: % 35.17/10.52 | (303) $false % 35.17/10.52 | % 35.17/10.52 |-The branch is then unsatisfiable % 35.17/10.52 |-Branch two: % 35.17/10.52 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 35.17/10.52 | % 35.17/10.52 | Applying alpha-rule on (543) yields: % 35.17/10.52 | (544) ~ (all_0_48_48 = e2) % 35.17/10.52 | (369) ~ (all_0_41_41 = e2) % 35.17/10.52 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 35.17/10.52 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 35.17/10.52 | (253) ~ (all_0_43_43 = e2) % 35.17/10.52 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 35.17/10.52 | (276) ~ (all_0_55_55 = e2) % 35.17/10.52 | (260) ~ (all_0_59_59 = e2) % 35.17/10.52 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 35.17/10.52 | (274) ~ (all_0_53_53 = e2) % 35.17/10.52 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 35.17/10.52 | (373) ~ (all_0_51_51 = e2) % 35.17/10.52 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 35.17/10.52 | (256) ~ (all_0_47_47 = e2) % 35.17/10.52 | (377) ~ (all_0_57_57 = e2) % 35.17/10.52 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 35.17/10.52 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 35.17/10.52 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 35.17/10.52 | (258) ~ (all_0_50_50 = e2) % 35.17/10.52 | (254) ~ (all_0_45_45 = e2) % 35.17/10.52 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 35.17/10.52 | % 35.17/10.52 | Equations (951) can reduce 254 to: % 35.17/10.52 | (303) $false % 35.17/10.52 | % 35.17/10.52 |-The branch is then unsatisfiable % 35.17/10.52 |-Branch two: % 35.17/10.52 | (290) ~ (all_0_47_47 = e0) % 35.17/10.52 | (309) all_0_47_47 = e3 % 35.17/10.52 | % 35.17/10.52 | Equations (309) can reduce 516 to: % 35.17/10.52 | (303) $false % 35.17/10.52 | % 35.17/10.52 |-The branch is then unsatisfiable % 35.17/10.52 |-Branch two: % 35.17/10.52 | (254) ~ (all_0_45_45 = e2) % 35.17/10.52 | (26722) all_0_46_46 = e2 | all_0_47_47 = e2 % 35.17/10.52 | % 35.17/10.53 +-Applying beta-rule and splitting (26722), into two cases. % 35.17/10.53 |-Branch one: % 35.17/10.53 | (252) all_0_46_46 = e2 % 35.17/10.53 | % 35.17/10.53 | Combining equations (451,252) yields a new equation: % 35.17/10.53 | (452) e3 = e2 % 35.17/10.53 | % 35.17/10.53 | Simplifying 452 yields: % 35.17/10.53 | (453) e3 = e2 % 35.17/10.53 | % 35.17/10.53 | Equations (453) can reduce 223 to: % 35.17/10.53 | (303) $false % 35.17/10.53 | % 35.17/10.53 |-The branch is then unsatisfiable % 35.17/10.53 |-Branch two: % 35.17/10.53 | (25396) ~ (all_0_46_46 = e2) % 35.17/10.53 | (302) all_0_47_47 = e2 % 35.17/10.53 | % 35.17/10.53 | Equations (302) can reduce 118 to: % 35.17/10.53 | (254) ~ (all_0_45_45 = e2) % 35.17/10.53 | % 35.17/10.53 | Equations (302) can reduce 516 to: % 35.17/10.53 | (577) ~ (e3 = e2) % 35.17/10.53 | % 35.17/10.53 | Simplifying 577 yields: % 35.17/10.53 | (223) ~ (e3 = e2) % 35.17/10.53 | % 35.17/10.53 +-Applying beta-rule and splitting (76), into two cases. % 35.17/10.53 |-Branch one: % 35.17/10.53 | (951) all_0_45_45 = e2 % 35.17/10.53 | % 35.17/10.53 | Equations (951) can reduce 254 to: % 35.17/10.53 | (303) $false % 35.17/10.53 | % 35.17/10.53 |-The branch is then unsatisfiable % 35.17/10.53 |-Branch two: % 35.17/10.53 | (254) ~ (all_0_45_45 = e2) % 35.17/10.53 | (6273) all_0_45_45 = e3 | all_0_45_45 = e0 % 35.17/10.53 | % 35.17/10.53 +-Applying beta-rule and splitting (6273), into two cases. % 35.17/10.53 |-Branch one: % 35.17/10.53 | (287) all_0_45_45 = e0 % 35.17/10.53 | % 35.17/10.53 | Equations (287) can reduce 1109 to: % 35.17/10.53 | (333) ~ (e3 = e0) % 35.17/10.53 | % 35.17/10.53 | Simplifying 333 yields: % 35.17/10.53 | (70) ~ (e3 = e0) % 35.17/10.53 | % 35.17/10.53 +-Applying beta-rule and splitting (56), into two cases. % 35.17/10.53 |-Branch one: % 35.17/10.53 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 35.17/10.53 | % 35.17/10.53 +-Applying beta-rule and splitting (480), into two cases. % 35.17/10.53 |-Branch one: % 35.17/10.53 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 35.17/10.53 | % 35.17/10.53 +-Applying beta-rule and splitting (481), into two cases. % 35.17/10.53 |-Branch one: % 35.17/10.53 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 35.17/10.53 | % 35.17/10.53 +-Applying beta-rule and splitting (482), into two cases. % 35.17/10.53 |-Branch one: % 35.17/10.53 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 35.17/10.53 | % 35.17/10.53 | Applying alpha-rule on (483) yields: % 35.17/10.53 | (484) ~ (unit = e4) % 35.17/10.53 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 35.17/10.53 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 35.17/10.53 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 35.17/10.53 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 35.17/10.53 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 35.17/10.53 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 35.17/10.53 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 35.17/10.53 | (492) ~ (all_0_55_55 = e4) % 35.17/10.53 | (493) all_0_45_45 = e3 % 35.17/10.53 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 35.17/10.53 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 35.17/10.53 | % 35.17/10.53 | Combining equations (287,493) yields a new equation: % 35.17/10.53 | (497) e3 = e0 % 35.17/10.53 | % 35.17/10.53 | Equations (497) can reduce 70 to: % 35.17/10.53 | (303) $false % 35.17/10.53 | % 35.17/10.53 |-The branch is then unsatisfiable % 35.17/10.53 |-Branch two: % 35.17/10.53 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 35.17/10.53 | % 35.17/10.53 | Applying alpha-rule on (499) yields: % 35.17/10.53 | (500) ~ (all_0_51_51 = e1) % 35.17/10.53 | (501) ~ (all_0_60_60 = e1) % 35.17/10.53 | (502) ~ (all_0_52_52 = e1) % 35.17/10.53 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 35.17/10.53 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 35.17/10.53 | (252) all_0_46_46 = e2 % 35.17/10.53 | (506) ~ (all_0_49_49 = e1) % 35.17/10.53 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 35.17/10.53 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 35.17/10.53 | (509) ~ (all_0_53_53 = e1) % 35.17/10.53 | (510) ~ (unit = e1) % 35.17/10.53 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 35.17/10.53 | (512) ~ (all_0_44_44 = e1) % 35.17/10.53 | % 35.17/10.53 | Combining equations (451,252) yields a new equation: % 35.17/10.53 | (452) e3 = e2 % 35.17/10.53 | % 35.17/10.53 | Simplifying 452 yields: % 35.17/10.53 | (453) e3 = e2 % 35.17/10.53 | % 35.17/10.53 | Equations (453) can reduce 223 to: % 35.17/10.53 | (303) $false % 35.17/10.53 | % 35.17/10.53 |-The branch is then unsatisfiable % 35.17/10.53 |-Branch two: % 35.17/10.53 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 35.17/10.53 | % 35.17/10.53 | Applying alpha-rule on (514) yields: % 35.17/10.53 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 35.17/10.53 | (516) ~ (all_0_47_47 = e3) % 35.17/10.53 | (314) ~ (all_0_55_55 = e3) % 35.17/10.53 | (368) all_0_49_49 = e2 % 35.17/10.53 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 35.17/10.53 | (520) ~ (unit = e3) % 35.17/10.53 | (521) ~ (all_0_52_52 = e3) % 35.17/10.53 | (455) ~ (all_0_46_46 = e3) % 35.17/10.53 | (432) ~ (all_0_40_40 = e3) % 35.17/10.53 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 35.17/10.53 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 35.17/10.53 | (526) ~ (all_0_56_56 = e3) % 35.17/10.53 | % 35.17/10.53 | Equations (451) can reduce 455 to: % 35.17/10.53 | (303) $false % 35.17/10.53 | % 35.17/10.53 |-The branch is then unsatisfiable % 35.17/10.53 |-Branch two: % 35.17/10.53 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 35.17/10.53 | % 35.17/10.53 | Applying alpha-rule on (528) yields: % 35.17/10.53 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 35.17/10.53 | (530) all_0_55_55 = e1 % 35.17/10.53 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 35.17/10.53 | (387) ~ (all_0_49_49 = e0) % 35.17/10.53 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 35.17/10.53 | (534) ~ (all_0_45_45 = e0) % 35.17/10.53 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 35.17/10.53 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 35.17/10.53 | (537) ~ (unit = e0) % 35.17/10.53 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 35.17/10.53 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 35.17/10.53 | % 35.17/10.53 | Equations (287) can reduce 534 to: % 35.17/10.53 | (303) $false % 35.17/10.53 | % 35.17/10.53 |-The branch is then unsatisfiable % 35.17/10.53 |-Branch two: % 35.17/10.53 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 35.17/10.53 | % 35.17/10.53 | Applying alpha-rule on (543) yields: % 35.17/10.53 | (544) ~ (all_0_48_48 = e2) % 35.17/10.53 | (369) ~ (all_0_41_41 = e2) % 35.17/10.53 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 35.17/10.53 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 35.17/10.53 | (253) ~ (all_0_43_43 = e2) % 35.17/10.53 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 35.17/10.53 | (276) ~ (all_0_55_55 = e2) % 35.17/10.53 | (260) ~ (all_0_59_59 = e2) % 35.17/10.53 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 35.17/10.53 | (274) ~ (all_0_53_53 = e2) % 35.17/10.53 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 35.17/10.53 | (373) ~ (all_0_51_51 = e2) % 35.17/10.53 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 35.17/10.53 | (256) ~ (all_0_47_47 = e2) % 35.17/10.53 | (377) ~ (all_0_57_57 = e2) % 35.17/10.53 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 35.17/10.53 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 35.17/10.53 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 35.17/10.53 | (258) ~ (all_0_50_50 = e2) % 35.17/10.53 | (254) ~ (all_0_45_45 = e2) % 35.17/10.53 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 35.17/10.53 | % 35.17/10.53 | Equations (302) can reduce 256 to: % 35.17/10.53 | (303) $false % 35.17/10.53 | % 35.17/10.53 |-The branch is then unsatisfiable % 35.17/10.53 |-Branch two: % 35.17/10.53 | (534) ~ (all_0_45_45 = e0) % 35.17/10.53 | (493) all_0_45_45 = e3 % 35.17/10.53 | % 35.17/10.53 | Equations (493) can reduce 1109 to: % 35.17/10.53 | (303) $false % 35.17/10.53 | % 35.17/10.53 |-The branch is then unsatisfiable % 35.17/10.53 |-Branch two: % 35.17/10.53 | (3453) ~ (all_0_54_54 = e2) % 35.17/10.53 | (469) all_0_54_54 = e4 % 35.17/10.53 | % 35.17/10.53 | Equations (469) can reduce 154 to: % 35.17/10.53 | (6245) ~ (all_0_42_42 = e4) % 35.17/10.53 | % 35.17/10.53 | From (469) and (206) follows: % 35.17/10.53 | (12387) op(e4, e1) = all_0_27_27 % 35.17/10.53 | % 35.17/10.53 | From (469) and (208) follows: % 35.17/10.53 | (12388) op(e1, e2) = e4 % 35.17/10.53 | % 35.17/10.53 | Instantiating formula (29) with e4, e1, all_0_27_27, all_0_43_43 and discharging atoms op(e4, e1) = all_0_27_27, op(e4, e1) = all_0_43_43, yields: % 35.17/10.53 | (12390) all_0_27_27 = all_0_43_43 % 35.17/10.53 | % 35.17/10.53 | From (12390) and (12387) follows: % 35.17/10.53 | (19) op(e4, e1) = all_0_43_43 % 35.17/10.53 | % 35.17/10.53 +-Applying beta-rule and splitting (183), into two cases. % 35.17/10.53 |-Branch one: % 35.17/10.53 | (287) all_0_45_45 = e0 % 35.17/10.53 | % 35.17/10.53 | Equations (287) can reduce 1109 to: % 35.17/10.53 | (333) ~ (e3 = e0) % 35.17/10.53 | % 35.17/10.53 | Simplifying 333 yields: % 35.17/10.53 | (70) ~ (e3 = e0) % 35.17/10.53 | % 35.17/10.53 +-Applying beta-rule and splitting (56), into two cases. % 35.17/10.53 |-Branch one: % 35.17/10.53 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 35.17/10.53 | % 35.17/10.53 +-Applying beta-rule and splitting (480), into two cases. % 35.17/10.53 |-Branch one: % 35.17/10.53 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 35.17/10.53 | % 35.17/10.53 +-Applying beta-rule and splitting (481), into two cases. % 35.17/10.53 |-Branch one: % 35.17/10.53 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 35.17/10.53 | % 35.17/10.53 +-Applying beta-rule and splitting (482), into two cases. % 35.17/10.53 |-Branch one: % 35.17/10.53 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 35.17/10.53 | % 35.17/10.53 | Applying alpha-rule on (483) yields: % 35.17/10.53 | (484) ~ (unit = e4) % 35.17/10.53 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 35.17/10.53 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 35.17/10.53 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 35.17/10.53 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 35.17/10.53 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 35.17/10.53 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 35.17/10.53 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 35.17/10.53 | (492) ~ (all_0_55_55 = e4) % 35.17/10.53 | (493) all_0_45_45 = e3 % 35.17/10.53 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 35.17/10.53 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 35.17/10.53 | % 35.17/10.53 | Combining equations (493,287) yields a new equation: % 35.17/10.53 | (496) e3 = e0 % 35.17/10.53 | % 35.17/10.53 | Simplifying 496 yields: % 35.17/10.53 | (497) e3 = e0 % 35.17/10.53 | % 35.17/10.53 | Equations (497) can reduce 70 to: % 35.17/10.53 | (303) $false % 35.17/10.53 | % 35.17/10.53 |-The branch is then unsatisfiable % 35.17/10.53 |-Branch two: % 35.17/10.53 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 35.17/10.53 | % 35.17/10.53 | Applying alpha-rule on (499) yields: % 35.17/10.53 | (500) ~ (all_0_51_51 = e1) % 35.17/10.53 | (501) ~ (all_0_60_60 = e1) % 35.17/10.53 | (502) ~ (all_0_52_52 = e1) % 35.17/10.53 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 35.17/10.53 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 35.17/10.53 | (252) all_0_46_46 = e2 % 35.17/10.53 | (506) ~ (all_0_49_49 = e1) % 35.17/10.53 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 35.17/10.53 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 35.17/10.53 | (509) ~ (all_0_53_53 = e1) % 35.17/10.53 | (510) ~ (unit = e1) % 35.17/10.53 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 35.17/10.53 | (512) ~ (all_0_44_44 = e1) % 35.17/10.53 | % 35.17/10.53 | Combining equations (451,252) yields a new equation: % 35.17/10.53 | (452) e3 = e2 % 35.17/10.53 | % 35.17/10.53 | Simplifying 452 yields: % 35.17/10.53 | (453) e3 = e2 % 35.17/10.53 | % 35.17/10.53 | Equations (453) can reduce 223 to: % 35.17/10.53 | (303) $false % 35.17/10.53 | % 35.17/10.53 |-The branch is then unsatisfiable % 35.17/10.53 |-Branch two: % 35.17/10.53 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 35.17/10.54 | % 35.17/10.54 | Applying alpha-rule on (514) yields: % 35.17/10.54 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 35.17/10.54 | (516) ~ (all_0_47_47 = e3) % 35.17/10.54 | (314) ~ (all_0_55_55 = e3) % 35.17/10.54 | (368) all_0_49_49 = e2 % 35.17/10.54 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 35.17/10.54 | (520) ~ (unit = e3) % 35.17/10.54 | (521) ~ (all_0_52_52 = e3) % 35.17/10.54 | (455) ~ (all_0_46_46 = e3) % 35.17/10.54 | (432) ~ (all_0_40_40 = e3) % 35.17/10.54 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 35.17/10.54 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 35.17/10.54 | (526) ~ (all_0_56_56 = e3) % 35.17/10.54 | % 35.17/10.54 | Equations (451) can reduce 455 to: % 35.17/10.54 | (303) $false % 35.17/10.54 | % 35.17/10.54 |-The branch is then unsatisfiable % 35.17/10.54 |-Branch two: % 35.17/10.54 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 35.17/10.54 | % 35.17/10.54 | Applying alpha-rule on (528) yields: % 35.17/10.54 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 35.17/10.54 | (530) all_0_55_55 = e1 % 35.17/10.54 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 35.17/10.54 | (387) ~ (all_0_49_49 = e0) % 35.17/10.54 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 35.17/10.54 | (534) ~ (all_0_45_45 = e0) % 35.17/10.54 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 35.17/10.54 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 35.17/10.54 | (537) ~ (unit = e0) % 35.17/10.54 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 35.17/10.54 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 35.17/10.54 | % 35.17/10.54 | Equations (287) can reduce 534 to: % 35.17/10.54 | (303) $false % 35.17/10.54 | % 35.17/10.54 |-The branch is then unsatisfiable % 35.17/10.54 |-Branch two: % 35.17/10.54 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 35.17/10.54 | % 35.17/10.54 | Applying alpha-rule on (543) yields: % 35.17/10.54 | (544) ~ (all_0_48_48 = e2) % 35.17/10.54 | (369) ~ (all_0_41_41 = e2) % 35.17/10.54 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 35.17/10.54 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 35.17/10.54 | (253) ~ (all_0_43_43 = e2) % 35.17/10.54 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 35.17/10.54 | (276) ~ (all_0_55_55 = e2) % 35.17/10.54 | (260) ~ (all_0_59_59 = e2) % 35.17/10.54 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 35.17/10.54 | (274) ~ (all_0_53_53 = e2) % 35.17/10.54 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 35.17/10.54 | (373) ~ (all_0_51_51 = e2) % 35.17/10.54 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 35.17/10.54 | (256) ~ (all_0_47_47 = e2) % 35.17/10.54 | (377) ~ (all_0_57_57 = e2) % 35.17/10.54 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 35.17/10.54 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 35.17/10.54 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 35.17/10.54 | (258) ~ (all_0_50_50 = e2) % 35.17/10.54 | (254) ~ (all_0_45_45 = e2) % 35.17/10.54 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 35.17/10.54 | % 35.17/10.54 +-Applying beta-rule and splitting (210), into two cases. % 35.17/10.54 |-Branch one: % 35.17/10.54 | (965) all_0_43_43 = e2 % 35.17/10.54 | % 35.17/10.54 | Equations (965) can reduce 253 to: % 35.17/10.54 | (303) $false % 35.17/10.54 | % 35.17/10.54 |-The branch is then unsatisfiable % 35.17/10.54 |-Branch two: % 35.17/10.54 | (253) ~ (all_0_43_43 = e2) % 35.17/10.54 | (26537) all_0_46_46 = e2 | all_0_50_50 = e2 | all_0_59_59 = e2 % 35.17/10.54 | % 35.17/10.54 +-Applying beta-rule and splitting (26537), into two cases. % 35.17/10.54 |-Branch one: % 35.17/10.54 | (252) all_0_46_46 = e2 % 35.17/10.54 | % 35.17/10.54 | Combining equations (451,252) yields a new equation: % 35.17/10.54 | (452) e3 = e2 % 35.17/10.54 | % 35.17/10.54 | Simplifying 452 yields: % 35.17/10.54 | (453) e3 = e2 % 35.17/10.54 | % 35.17/10.54 | Equations (453) can reduce 223 to: % 35.17/10.54 | (303) $false % 35.17/10.54 | % 35.17/10.54 |-The branch is then unsatisfiable % 35.17/10.54 |-Branch two: % 35.17/10.54 | (25396) ~ (all_0_46_46 = e2) % 35.17/10.54 | (26583) all_0_50_50 = e2 | all_0_59_59 = e2 % 35.17/10.54 | % 35.17/10.54 +-Applying beta-rule and splitting (26583), into two cases. % 35.17/10.54 |-Branch one: % 35.17/10.54 | (364) all_0_50_50 = e2 % 35.17/10.54 | % 35.17/10.54 | Equations (364) can reduce 258 to: % 35.17/10.54 | (303) $false % 35.17/10.54 | % 35.17/10.54 |-The branch is then unsatisfiable % 35.17/10.54 |-Branch two: % 35.17/10.54 | (258) ~ (all_0_50_50 = e2) % 35.17/10.54 | (909) all_0_59_59 = e2 % 35.17/10.54 | % 35.17/10.54 | Equations (909) can reduce 260 to: % 35.17/10.54 | (303) $false % 35.17/10.54 | % 35.17/10.54 |-The branch is then unsatisfiable % 35.17/10.54 |-Branch two: % 35.17/10.54 | (534) ~ (all_0_45_45 = e0) % 35.17/10.54 | (306) all_0_47_47 = e0 % 35.17/10.54 | % 35.17/10.54 | Equations (306) can reduce 118 to: % 35.17/10.54 | (534) ~ (all_0_45_45 = e0) % 35.17/10.54 | % 35.17/10.54 | Equations (306) can reduce 142 to: % 35.17/10.54 | (5945) ~ (all_0_51_51 = e0) % 35.17/10.54 | % 35.17/10.54 | Simplifying 5945 yields: % 35.17/10.54 | (2347) ~ (all_0_51_51 = e0) % 35.17/10.54 | % 35.17/10.54 | Equations (306) can reduce 47 to: % 35.17/10.54 | (413) ~ (all_0_60_60 = e0) % 35.17/10.54 | % 35.17/10.54 | Simplifying 413 yields: % 35.17/10.54 | (414) ~ (all_0_60_60 = e0) % 35.17/10.54 | % 35.17/10.54 | From (306) and (68) follows: % 35.17/10.54 | (6267) op(e0, e3) = all_0_13_13 % 35.17/10.54 | % 35.17/10.54 +-Applying beta-rule and splitting (36), into two cases. % 35.17/10.54 |-Branch one: % 35.17/10.54 | (951) all_0_45_45 = e2 % 35.17/10.54 | % 35.17/10.54 | Equations (951) can reduce 120 to: % 35.17/10.54 | (939) ~ (all_0_40_40 = e2) % 35.17/10.54 | % 35.17/10.54 | Equations (951) can reduce 162 to: % 35.17/10.54 | (8205) ~ (all_0_52_52 = e2) % 35.17/10.54 | % 35.17/10.54 | Simplifying 8205 yields: % 35.17/10.54 | (273) ~ (all_0_52_52 = e2) % 35.17/10.54 | % 35.17/10.54 | Equations (951) can reduce 217 to: % 35.17/10.54 | (261) ~ (e4 = e2) % 35.17/10.54 | % 35.17/10.54 | Simplifying 261 yields: % 35.17/10.54 | (231) ~ (e4 = e2) % 35.17/10.54 | % 35.17/10.54 | Equations (951) can reduce 1109 to: % 35.17/10.54 | (577) ~ (e3 = e2) % 35.17/10.54 | % 35.17/10.54 | Simplifying 577 yields: % 35.17/10.54 | (223) ~ (e3 = e2) % 35.17/10.54 | % 35.17/10.54 | Equations (951) can reduce 184 to: % 35.17/10.54 | (144) ~ (e2 = e1) % 35.17/10.54 | % 35.17/10.54 | From (951) and (102) follows: % 35.17/10.54 | (25440) op(e2, e4) = all_0_10_10 % 35.17/10.54 | % 35.17/10.54 | From (951) and (49) follows: % 35.17/10.54 | (26955) op(e2, e3) = all_0_9_9 % 35.17/10.54 | % 35.17/10.54 | From (951) and (72) follows: % 35.17/10.54 | (25441) op(e3, e4) = e2 % 35.17/10.54 | % 35.17/10.54 +-Applying beta-rule and splitting (56), into two cases. % 35.17/10.54 |-Branch one: % 35.17/10.54 | (480) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) | (all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2)) % 35.17/10.54 | % 35.17/10.54 +-Applying beta-rule and splitting (480), into two cases. % 35.17/10.54 |-Branch one: % 35.17/10.54 | (481) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) | (all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0)) % 35.17/10.54 | % 35.17/10.54 +-Applying beta-rule and splitting (481), into two cases. % 35.17/10.54 |-Branch one: % 35.17/10.54 | (482) (all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0)) | (all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3)) % 35.17/10.54 | % 35.17/10.54 +-Applying beta-rule and splitting (482), into two cases. % 35.17/10.54 |-Branch one: % 35.17/10.54 | (483) all_0_45_45 = e3 & ~ (all_0_55_55 = e4) & ~ (unit = e4) & ( ~ (all_0_42_42 = e4) | all_0_40_40 = e2) & ( ~ (all_0_43_43 = e4) | all_0_40_40 = e1) & ( ~ (all_0_44_44 = e4) | all_0_40_40 = e0) & ( ~ (all_0_50_50 = e4) | all_0_48_48 = e1) & ( ~ (all_0_51_51 = e4) | all_0_48_48 = e0) & ( ~ (all_0_54_54 = e4) | all_0_52_52 = e2) & ( ~ (all_0_58_58 = e4) | all_0_56_56 = e2) & ( ~ (all_0_59_59 = e4) | all_0_56_56 = e1) & ( ~ (all_0_60_60 = e4) | all_0_56_56 = e0) % 35.17/10.54 | % 35.17/10.54 | Applying alpha-rule on (483) yields: % 35.17/10.54 | (484) ~ (unit = e4) % 35.17/10.54 | (485) ~ (all_0_54_54 = e4) | all_0_52_52 = e2 % 35.17/10.54 | (486) ~ (all_0_43_43 = e4) | all_0_40_40 = e1 % 35.17/10.54 | (487) ~ (all_0_60_60 = e4) | all_0_56_56 = e0 % 35.17/10.54 | (488) ~ (all_0_50_50 = e4) | all_0_48_48 = e1 % 35.17/10.54 | (489) ~ (all_0_58_58 = e4) | all_0_56_56 = e2 % 35.17/10.55 | (490) ~ (all_0_59_59 = e4) | all_0_56_56 = e1 % 35.17/10.55 | (491) ~ (all_0_42_42 = e4) | all_0_40_40 = e2 % 35.17/10.55 | (492) ~ (all_0_55_55 = e4) % 35.17/10.55 | (493) all_0_45_45 = e3 % 35.17/10.55 | (494) ~ (all_0_44_44 = e4) | all_0_40_40 = e0 % 35.17/10.55 | (495) ~ (all_0_51_51 = e4) | all_0_48_48 = e0 % 35.17/10.55 | % 35.17/10.55 | Combining equations (951,493) yields a new equation: % 35.17/10.55 | (453) e3 = e2 % 35.17/10.55 | % 35.17/10.55 | Equations (453) can reduce 223 to: % 35.17/10.55 | (303) $false % 35.17/10.55 | % 35.17/10.55 |-The branch is then unsatisfiable % 35.17/10.55 |-Branch two: % 35.17/10.55 | (499) all_0_46_46 = e2 & ~ (all_0_44_44 = e1) & ~ (all_0_49_49 = e1) & ~ (all_0_51_51 = e1) & ~ (all_0_52_52 = e1) & ~ (all_0_53_53 = e1) & ~ (all_0_60_60 = e1) & ~ (unit = e1) & ( ~ (all_0_40_40 = e1) | all_0_43_43 = e4) & ( ~ (all_0_41_41 = e1) | all_0_43_43 = e3) & ( ~ (all_0_48_48 = e1) | all_0_50_50 = e4) & ( ~ (all_0_56_56 = e1) | all_0_59_59 = e4) & ( ~ (all_0_57_57 = e1) | all_0_59_59 = e3) % 35.17/10.55 | % 35.17/10.55 | Applying alpha-rule on (499) yields: % 35.17/10.55 | (500) ~ (all_0_51_51 = e1) % 35.17/10.55 | (501) ~ (all_0_60_60 = e1) % 35.17/10.55 | (502) ~ (all_0_52_52 = e1) % 35.17/10.55 | (503) ~ (all_0_57_57 = e1) | all_0_59_59 = e3 % 35.17/10.55 | (504) ~ (all_0_48_48 = e1) | all_0_50_50 = e4 % 35.17/10.55 | (252) all_0_46_46 = e2 % 35.17/10.55 | (506) ~ (all_0_49_49 = e1) % 35.17/10.55 | (507) ~ (all_0_41_41 = e1) | all_0_43_43 = e3 % 35.17/10.55 | (508) ~ (all_0_40_40 = e1) | all_0_43_43 = e4 % 35.17/10.55 | (509) ~ (all_0_53_53 = e1) % 35.17/10.55 | (510) ~ (unit = e1) % 35.17/10.55 | (511) ~ (all_0_56_56 = e1) | all_0_59_59 = e4 % 35.17/10.55 | (512) ~ (all_0_44_44 = e1) % 35.17/10.55 | % 35.17/10.55 | Combining equations (451,252) yields a new equation: % 35.17/10.55 | (452) e3 = e2 % 35.17/10.55 | % 35.17/10.55 | Simplifying 452 yields: % 35.17/10.55 | (453) e3 = e2 % 35.17/10.55 | % 35.17/10.55 | Equations (453) can reduce 223 to: % 35.17/10.55 | (303) $false % 35.17/10.55 | % 35.17/10.55 |-The branch is then unsatisfiable % 35.17/10.55 |-Branch two: % 35.17/10.55 | (514) all_0_49_49 = e2 & ~ (all_0_40_40 = e3) & ~ (all_0_46_46 = e3) & ~ (all_0_47_47 = e3) & ~ (all_0_52_52 = e3) & ~ (all_0_55_55 = e3) & ~ (all_0_56_56 = e3) & ~ (unit = e3) & ( ~ (all_0_43_43 = e3) | all_0_41_41 = e1) & ( ~ (all_0_44_44 = e3) | all_0_41_41 = e0) & ( ~ (all_0_59_59 = e3) | all_0_57_57 = e1) & ( ~ (all_0_60_60 = e3) | all_0_57_57 = e0) % 35.17/10.55 | % 35.17/10.55 | Applying alpha-rule on (514) yields: % 35.17/10.55 | (515) ~ (all_0_60_60 = e3) | all_0_57_57 = e0 % 35.17/10.55 | (516) ~ (all_0_47_47 = e3) % 35.17/10.55 | (314) ~ (all_0_55_55 = e3) % 35.17/10.55 | (368) all_0_49_49 = e2 % 35.17/10.55 | (519) ~ (all_0_59_59 = e3) | all_0_57_57 = e1 % 35.17/10.55 | (520) ~ (unit = e3) % 35.17/10.55 | (521) ~ (all_0_52_52 = e3) % 35.17/10.55 | (455) ~ (all_0_46_46 = e3) % 35.17/10.55 | (432) ~ (all_0_40_40 = e3) % 35.17/10.55 | (524) ~ (all_0_43_43 = e3) | all_0_41_41 = e1 % 35.17/10.55 | (525) ~ (all_0_44_44 = e3) | all_0_41_41 = e0 % 35.17/10.55 | (526) ~ (all_0_56_56 = e3) % 35.17/10.55 | % 35.17/10.55 | Equations (451) can reduce 455 to: % 35.17/10.55 | (303) $false % 35.17/10.55 | % 35.17/10.55 |-The branch is then unsatisfiable % 35.17/10.55 |-Branch two: % 35.17/10.55 | (528) all_0_55_55 = e1 & ~ (all_0_45_45 = e0) & ~ (all_0_49_49 = e0) & ~ (unit = e0) & ( ~ (all_0_40_40 = e0) | all_0_44_44 = e4) & ( ~ (all_0_41_41 = e0) | all_0_44_44 = e3) & ( ~ (all_0_42_42 = e0) | all_0_44_44 = e2) & ( ~ (all_0_48_48 = e0) | all_0_51_51 = e4) & ( ~ (all_0_56_56 = e0) | all_0_60_60 = e4) & ( ~ (all_0_57_57 = e0) | all_0_60_60 = e3) & ( ~ (all_0_58_58 = e0) | all_0_60_60 = e2) % 35.17/10.55 | % 35.17/10.55 | Applying alpha-rule on (528) yields: % 35.17/10.55 | (529) ~ (all_0_57_57 = e0) | all_0_60_60 = e3 % 35.17/10.55 | (530) all_0_55_55 = e1 % 35.17/10.55 | (531) ~ (all_0_58_58 = e0) | all_0_60_60 = e2 % 35.17/10.55 | (387) ~ (all_0_49_49 = e0) % 35.17/10.55 | (533) ~ (all_0_48_48 = e0) | all_0_51_51 = e4 % 35.17/10.55 | (534) ~ (all_0_45_45 = e0) % 35.17/10.55 | (535) ~ (all_0_56_56 = e0) | all_0_60_60 = e4 % 35.17/10.55 | (536) ~ (all_0_42_42 = e0) | all_0_44_44 = e2 % 35.17/10.55 | (537) ~ (unit = e0) % 35.17/10.55 | (538) ~ (all_0_41_41 = e0) | all_0_44_44 = e3 % 35.17/10.55 | (539) ~ (all_0_40_40 = e0) | all_0_44_44 = e4 % 35.17/10.55 | % 35.17/10.55 | Equations (530) can reduce 59 to: % 35.17/10.55 | (512) ~ (all_0_44_44 = e1) % 35.17/10.55 | % 35.17/10.55 | Equations (530) can reduce 159 to: % 35.17/10.55 | (1050) ~ (all_0_60_60 = e1) % 35.17/10.55 | % 35.17/10.55 | Simplifying 1050 yields: % 35.17/10.55 | (501) ~ (all_0_60_60 = e1) % 35.17/10.55 | % 35.17/10.55 +-Applying beta-rule and splitting (91), into two cases. % 35.17/10.55 |-Branch one: % 35.17/10.55 | (980) all_0_52_52 = e2 % 35.17/10.55 | % 35.17/10.55 | Equations (980) can reduce 273 to: % 35.17/10.55 | (303) $false % 35.17/10.55 | % 35.17/10.55 |-The branch is then unsatisfiable % 35.17/10.55 |-Branch two: % 35.17/10.55 | (273) ~ (all_0_52_52 = e2) % 35.17/10.55 | (15176) all_0_53_53 = e2 | all_0_54_54 = e2 | all_0_55_55 = e2 % 35.17/10.55 | % 35.17/10.55 +-Applying beta-rule and splitting (15176), into two cases. % 35.17/10.55 |-Branch one: % 35.17/10.55 | (360) all_0_53_53 = e2 % 35.17/10.55 | % 35.17/10.55 | Equations (360) can reduce 121 to: % 35.17/10.55 | (369) ~ (all_0_41_41 = e2) % 35.17/10.55 | % 35.17/10.55 | Equations (360) can reduce 7 to: % 35.17/10.55 | (2167) ~ (all_0_49_49 = e2) % 35.17/10.55 | % 35.17/10.55 | Equations (360) can reduce 251 to: % 35.17/10.55 | (376) ~ (all_0_57_57 = e2) % 35.17/10.55 | % 35.17/10.55 | Simplifying 376 yields: % 35.17/10.55 | (377) ~ (all_0_57_57 = e2) % 35.17/10.55 | % 35.17/10.55 | From (360) and (242) follows: % 35.17/10.55 | (12585) op(e2, e3) = all_0_26_26 % 35.17/10.55 | % 35.17/10.55 | From (360) and (224) follows: % 35.17/10.55 | (12586) op(e1, e3) = e2 % 35.17/10.55 | % 35.17/10.55 +-Applying beta-rule and splitting (64), into two cases. % 35.17/10.55 |-Branch one: % 35.17/10.55 | (425) all_0_52_52 = e3 % 35.17/10.55 | % 35.17/10.55 | Equations (425) can reduce 149 to: % 35.17/10.55 | (2285) ~ (all_0_56_56 = e3) % 35.17/10.55 | % 35.17/10.55 | Simplifying 2285 yields: % 35.17/10.55 | (526) ~ (all_0_56_56 = e3) % 35.17/10.55 | % 35.17/10.55 | From (425) and (45) follows: % 35.17/10.55 | (3339) op(e3, e4) = all_0_24_24 % 35.17/10.55 | % 35.17/10.55 | From (425) and (156) follows: % 35.17/10.55 | (3340) op(e3, e1) = all_0_23_23 % 35.17/10.55 | % 35.17/10.55 | From (425) and (152) follows: % 35.17/10.55 | (430) op(e1, e4) = e3 % 35.17/10.55 | % 35.17/10.55 +-Applying beta-rule and splitting (114), into two cases. % 35.17/10.55 |-Branch one: % 35.17/10.55 | (368) all_0_49_49 = e2 % 35.17/10.55 | % 35.17/10.55 | Equations (368) can reduce 2167 to: % 35.17/10.55 | (303) $false % 35.17/10.55 | % 35.17/10.55 |-The branch is then unsatisfiable % 35.17/10.55 |-Branch two: % 35.17/10.55 | (2167) ~ (all_0_49_49 = e2) % 35.17/10.55 | (2168) all_0_49_49 = e1 | all_0_49_49 = e0 % 35.17/10.55 | % 35.17/10.55 +-Applying beta-rule and splitting (67), into two cases. % 35.17/10.55 |-Branch one: % 35.17/10.55 | (380) all_0_48_48 = e0 % 35.17/10.55 | % 35.17/10.55 | Equations (380) can reduce 58 to: % 35.17/10.55 | (8746) ~ (all_0_49_49 = e0) % 35.17/10.55 | % 35.17/10.55 | Simplifying 8746 yields: % 35.17/10.55 | (387) ~ (all_0_49_49 = e0) % 35.17/10.55 | % 35.17/10.55 | Equations (380) can reduce 48 to: % 35.17/10.55 | (6386) ~ (all_0_50_50 = e0) % 35.17/10.55 | % 35.17/10.55 | Simplifying 6386 yields: % 35.17/10.55 | (207) ~ (all_0_50_50 = e0) % 35.17/10.55 | % 35.17/10.55 | Equations (380) can reduce 2 to: % 35.17/10.55 | (295) ~ (all_0_56_56 = e0) % 35.17/10.55 | % 35.17/10.55 | Simplifying 295 yields: % 35.17/10.55 | (296) ~ (all_0_56_56 = e0) % 35.17/10.55 | % 35.17/10.55 | From (380) and (103) follows: % 35.17/10.55 | (6397) op(e0, e2) = all_0_15_15 % 35.17/10.55 | % 35.17/10.55 | From (380) and (105) follows: % 35.17/10.55 | (9697) op(e2, e4) = e0 % 35.17/10.55 | % 35.17/10.55 +-Applying beta-rule and splitting (2168), into two cases. % 35.17/10.55 |-Branch one: % 35.17/10.55 | (1580) all_0_49_49 = e1 % 35.17/10.55 | % 35.17/10.55 | Equations (1580) can reduce 177 to: % 35.17/10.55 | (699) ~ (all_0_41_41 = e1) % 35.17/10.55 | % 35.17/10.55 | Equations (1580) can reduce 37 to: % 35.17/10.55 | (855) ~ (all_0_50_50 = e1) % 35.17/10.55 | % 35.17/10.55 | Simplifying 855 yields: % 35.17/10.55 | (678) ~ (all_0_50_50 = e1) % 35.17/10.55 | % 35.17/10.55 | Equations (1580) can reduce 160 to: % 35.17/10.55 | (16152) ~ (all_0_51_51 = e1) % 35.17/10.55 | % 35.17/10.55 | Simplifying 16152 yields: % 35.17/10.55 | (500) ~ (all_0_51_51 = e1) % 35.17/10.55 | % 35.17/10.55 | Equations (1580) can reduce 226 to: % 35.17/10.55 | (11300) ~ (all_0_57_57 = e1) % 35.17/10.55 | % 35.17/10.55 | Simplifying 11300 yields: % 35.17/10.55 | (592) ~ (all_0_57_57 = e1) % 35.17/10.55 | % 35.17/10.55 | Equations (1580) can reduce 218 to: % 35.17/10.55 | (465) ~ (e3 = e1) % 35.17/10.55 | % 35.17/10.55 | Simplifying 465 yields: % 35.17/10.55 | (136) ~ (e3 = e1) % 35.17/10.55 | % 35.17/10.55 | From (1580) and (65) follows: % 35.17/10.55 | (27061) op(e1, e3) = all_0_18_18 % 35.17/10.55 | % 35.17/10.55 | From (1580) and (113) follows: % 35.17/10.55 | (27062) op(e1, e2) = all_0_17_17 % 35.17/10.55 | % 35.17/10.55 | From (1580) and (94) follows: % 35.17/10.55 | (27063) op(e2, e3) = e1 % 35.17/10.55 | % 35.17/10.55 +-Applying beta-rule and splitting (533), into two cases. % 35.17/10.55 |-Branch one: % 35.17/10.55 | (292) ~ (all_0_48_48 = e0) % 35.17/10.55 | % 35.17/10.55 | Equations (380) can reduce 292 to: % 35.17/10.55 | (303) $false % 35.17/10.55 | % 35.17/10.55 |-The branch is then unsatisfiable % 35.17/10.55 |-Branch two: % 35.17/10.55 | (380) all_0_48_48 = e0 % 35.17/10.55 | (1501) all_0_51_51 = e4 % 35.17/10.55 | % 35.17/10.55 | Equations (1501) can reduce 161 to: % 35.17/10.55 | (474) ~ (all_0_44_44 = e4) % 35.17/10.55 | % 35.17/10.55 | Equations (1501) can reduce 171 to: % 35.17/10.55 | (611) ~ (all_0_50_50 = e4) % 35.17/10.55 | % 35.17/10.55 | Equations (1501) can reduce 95 to: % 35.17/10.55 | (349) ~ (all_0_60_60 = e4) % 35.17/10.55 | % 35.17/10.55 | Simplifying 349 yields: % 35.17/10.55 | (350) ~ (all_0_60_60 = e4) % 35.17/10.55 | % 35.17/10.55 | Equations (1501) can reduce 500 to: % 35.17/10.55 | (247) ~ (e4 = e1) % 35.17/10.55 | % 35.17/10.55 | From (1501) and (18) follows: % 35.17/10.55 | (8425) op(e4, e0) = all_0_22_22 % 35.17/10.55 | % 35.17/10.55 | From (1501) and (66) follows: % 35.17/10.55 | (10154) op(e2, e0) = e4 % 35.17/10.55 | % 35.17/10.55 +-Applying beta-rule and splitting (88), into two cases. % 35.17/10.55 |-Branch one: % 35.17/10.55 | (364) all_0_50_50 = e2 % 35.17/10.55 | % 35.17/10.55 | Equations (364) can reduce 238 to: % 35.17/10.55 | (253) ~ (all_0_43_43 = e2) % 35.17/10.55 | % 35.17/10.55 | Equations (364) can reduce 207 to: % 35.17/10.55 | (51) ~ (e2 = e0) % 35.17/10.55 | % 35.17/10.55 | From (364) and (129) follows: % 35.17/10.56 | (27078) op(e2, e2) = all_0_19_19 % 35.17/10.56 | % 35.17/10.56 | Instantiating formula (29) with e4, e0, all_0_22_22, all_0_44_44 and discharging atoms op(e4, e0) = all_0_22_22, op(e4, e0) = all_0_44_44, yields: % 35.17/10.56 | (27079) all_0_22_22 = all_0_44_44 % 35.17/10.56 | % 35.17/10.56 | Instantiating formula (29) with e3, e4, e2, all_0_24_24 and discharging atoms op(e3, e4) = all_0_24_24, op(e3, e4) = e2, yields: % 35.17/10.56 | (9222) all_0_24_24 = e2 % 35.17/10.56 | % 35.17/10.56 | Instantiating formula (29) with e3, e1, all_0_23_23, e3 and discharging atoms op(e3, e1) = all_0_23_23, op(e3, e1) = e3, yields: % 35.17/10.56 | (6046) all_0_23_23 = e3 % 35.17/10.56 | % 35.17/10.56 | Instantiating formula (29) with e2, e4, e0, all_0_10_10 and discharging atoms op(e2, e4) = all_0_10_10, op(e2, e4) = e0, yields: % 35.17/10.56 | (25567) all_0_10_10 = e0 % 35.17/10.56 | % 35.17/10.56 | Instantiating formula (29) with e2, e3, all_0_26_26, all_0_9_9 and discharging atoms op(e2, e3) = all_0_9_9, op(e2, e3) = all_0_26_26, yields: % 35.17/10.56 | (27083) all_0_9_9 = all_0_26_26 % 35.17/10.56 | % 35.17/10.56 | Instantiating formula (29) with e2, e3, e1, all_0_9_9 and discharging atoms op(e2, e3) = all_0_9_9, op(e2, e3) = e1, yields: % 35.17/10.56 | (27084) all_0_9_9 = e1 % 35.17/10.56 | % 35.17/10.56 | Instantiating formula (29) with e2, e2, all_0_19_19, e3 and discharging atoms op(e2, e2) = all_0_19_19, op(e2, e2) = e3, yields: % 35.17/10.56 | (27085) all_0_19_19 = e3 % 35.17/10.56 | % 35.17/10.56 | Instantiating formula (29) with e1, e3, e2, all_0_18_18 and discharging atoms op(e1, e3) = all_0_18_18, op(e1, e3) = e2, yields: % 35.17/10.56 | (3563) all_0_18_18 = e2 % 35.17/10.56 | % 35.17/10.56 | Instantiating formula (29) with e1, e2, all_0_17_17, e4 and discharging atoms op(e1, e2) = all_0_17_17, op(e1, e2) = e4, yields: % 35.17/10.56 | (2626) all_0_17_17 = e4 % 35.17/10.56 | % 35.17/10.56 | Instantiating formula (29) with e0, e3, all_0_13_13, all_0_57_57 and discharging atoms op(e0, e3) = all_0_13_13, op(e0, e3) = all_0_57_57, yields: % 35.17/10.56 | (6285) all_0_13_13 = all_0_57_57 % 35.17/10.56 | % 35.17/10.56 | Instantiating formula (29) with e0, e2, all_0_15_15, all_0_58_58 and discharging atoms op(e0, e2) = all_0_15_15, op(e0, e2) = all_0_58_58, yields: % 35.17/10.56 | (27089) all_0_15_15 = all_0_58_58 % 35.17/10.56 | % 35.17/10.56 | Combining equations (27084,27083) yields a new equation: % 35.17/10.56 | (3585) all_0_26_26 = e1 % 35.17/10.56 | % 35.17/10.56 | From (27079) and (8425) follows: % 35.17/10.56 | (107) op(e4, e0) = all_0_44_44 % 35.17/10.56 | % 35.17/10.56 | From (9222) and (3339) follows: % 35.17/10.56 | (25441) op(e3, e4) = e2 % 35.17/10.56 | % 35.17/10.56 | From (6046) and (3340) follows: % 35.17/10.56 | (1862) op(e3, e1) = e3 % 35.17/10.56 | % 35.17/10.56 | From (25567) and (25440) follows: % 35.17/10.56 | (9697) op(e2, e4) = e0 % 35.17/10.56 | % 35.17/10.56 | From (3585) and (12585) follows: % 35.17/10.56 | (27063) op(e2, e3) = e1 % 35.17/10.56 | % 35.17/10.56 | From (27085) and (27078) follows: % 35.17/10.56 | (83) op(e2, e2) = e3 % 35.17/10.56 | % 35.17/10.56 | From (3563) and (27061) follows: % 35.17/10.56 | (12586) op(e1, e3) = e2 % 35.17/10.56 | % 35.17/10.56 | From (2626) and (27062) follows: % 35.17/10.57 | (12388) op(e1, e2) = e4 % 35.17/10.57 | % 35.17/10.57 | From (6285) and (6267) follows: % 35.17/10.57 | (5) op(e0, e3) = all_0_57_57 % 35.17/10.57 | % 35.17/10.57 | From (27089) and (6397) follows: % 35.17/10.57 | (135) op(e0, e2) = all_0_58_58 % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (230), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (959) all_0_42_42 = e2 % 35.17/10.57 | % 35.17/10.57 | Equations (959) can reduce 115 to: % 35.17/10.57 | (939) ~ (all_0_40_40 = e2) % 35.17/10.57 | % 35.17/10.57 | Equations (959) can reduce 55 to: % 35.17/10.57 | (369) ~ (all_0_41_41 = e2) % 35.17/10.57 | % 35.17/10.57 | Equations (959) can reduce 119 to: % 35.17/10.57 | (2639) ~ (all_0_43_43 = e2) % 35.17/10.57 | % 35.17/10.57 | Simplifying 2639 yields: % 35.17/10.57 | (253) ~ (all_0_43_43 = e2) % 35.17/10.57 | % 35.17/10.57 | Equations (959) can reduce 225 to: % 35.17/10.57 | (577) ~ (e3 = e2) % 35.17/10.57 | % 35.17/10.57 | Simplifying 577 yields: % 35.17/10.57 | (223) ~ (e3 = e2) % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (163), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (324) all_0_42_42 = e0 % 35.17/10.57 | % 35.17/10.57 | Combining equations (324,959) yields a new equation: % 35.17/10.57 | (385) e2 = e0 % 35.17/10.57 | % 35.17/10.57 | Equations (385) can reduce 51 to: % 35.17/10.57 | (303) $false % 35.17/10.57 | % 35.17/10.57 |-The branch is then unsatisfiable % 35.17/10.57 |-Branch two: % 35.17/10.57 | (3164) ~ (all_0_42_42 = e0) % 35.17/10.57 | (989) all_0_58_58 = e0 % 35.17/10.57 | % 35.17/10.57 | Equations (989) can reduce 71 to: % 35.17/10.57 | (296) ~ (all_0_56_56 = e0) % 35.17/10.57 | % 35.17/10.57 | Equations (989) can reduce 23 to: % 35.17/10.57 | (411) ~ (all_0_59_59 = e0) % 35.17/10.57 | % 35.17/10.57 | Simplifying 411 yields: % 35.17/10.57 | (216) ~ (all_0_59_59 = e0) % 35.17/10.57 | % 35.17/10.57 | Equations (989) can reduce 203 to: % 35.17/10.57 | (333) ~ (e3 = e0) % 35.17/10.57 | % 35.17/10.57 | Simplifying 333 yields: % 35.17/10.57 | (70) ~ (e3 = e0) % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (250), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (897) all_0_57_57 = e2 % 35.17/10.57 | % 35.17/10.57 | Equations (897) can reduce 377 to: % 35.17/10.57 | (303) $false % 35.17/10.57 | % 35.17/10.57 |-The branch is then unsatisfiable % 35.17/10.57 |-Branch two: % 35.17/10.57 | (377) ~ (all_0_57_57 = e2) % 35.17/10.57 | (2652) all_0_57_57 = e3 | all_0_57_57 = e1 | all_0_57_57 = e0 % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (531), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (332) ~ (all_0_58_58 = e0) % 35.17/10.57 | % 35.17/10.57 | Equations (989) can reduce 332 to: % 35.17/10.57 | (303) $false % 35.17/10.57 | % 35.17/10.57 |-The branch is then unsatisfiable % 35.17/10.57 |-Branch two: % 35.17/10.57 | (989) all_0_58_58 = e0 % 35.17/10.57 | (913) all_0_60_60 = e2 % 35.17/10.57 | % 35.17/10.57 | Equations (913) can reduce 165 to: % 35.17/10.57 | (915) ~ (all_0_44_44 = e2) % 35.17/10.57 | % 35.17/10.57 | Equations (913) can reduce 164 to: % 35.17/10.57 | (260) ~ (all_0_59_59 = e2) % 35.17/10.57 | % 35.17/10.57 | Equations (913) can reduce 350 to: % 35.17/10.57 | (261) ~ (e4 = e2) % 35.17/10.57 | % 35.17/10.57 | Simplifying 261 yields: % 35.17/10.57 | (231) ~ (e4 = e2) % 35.17/10.57 | % 35.17/10.57 | Equations (913) can reduce 501 to: % 35.17/10.57 | (144) ~ (e2 = e1) % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (150), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (398) all_0_41_41 = e0 % 35.17/10.57 | % 35.17/10.57 | Equations (398) can reduce 151 to: % 35.17/10.57 | (288) ~ (all_0_40_40 = e0) % 35.17/10.57 | % 35.17/10.57 | Equations (398) can reduce 43 to: % 35.17/10.57 | (327) ~ (all_0_43_43 = e0) % 35.17/10.57 | % 35.17/10.57 | Simplifying 327 yields: % 35.17/10.57 | (117) ~ (all_0_43_43 = e0) % 35.17/10.57 | % 35.17/10.57 | Equations (398) can reduce 11 to: % 35.17/10.57 | (2272) ~ (all_0_57_57 = e0) % 35.17/10.57 | % 35.17/10.57 | Simplifying 2272 yields: % 35.17/10.57 | (2273) ~ (all_0_57_57 = e0) % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (2652), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (589) all_0_57_57 = e1 % 35.17/10.57 | % 35.17/10.57 | Equations (589) can reduce 592 to: % 35.17/10.57 | (303) $false % 35.17/10.57 | % 35.17/10.57 |-The branch is then unsatisfiable % 35.17/10.57 |-Branch two: % 35.17/10.57 | (592) ~ (all_0_57_57 = e1) % 35.17/10.57 | (3062) all_0_57_57 = e3 | all_0_57_57 = e0 % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (3062), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (407) all_0_57_57 = e0 % 35.17/10.57 | % 35.17/10.57 | Equations (407) can reduce 2273 to: % 35.17/10.57 | (303) $false % 35.17/10.57 | % 35.17/10.57 |-The branch is then unsatisfiable % 35.17/10.57 |-Branch two: % 35.17/10.57 | (2273) ~ (all_0_57_57 = e0) % 35.17/10.57 | (1001) all_0_57_57 = e3 % 35.17/10.57 | % 35.17/10.57 | Equations (1001) can reduce 222 to: % 35.17/10.57 | (1030) ~ (all_0_59_59 = e3) % 35.17/10.57 | % 35.17/10.57 | Simplifying 1030 yields: % 35.17/10.57 | (1031) ~ (all_0_59_59 = e3) % 35.17/10.57 | % 35.17/10.57 | From (1001) and (5) follows: % 35.17/10.57 | (1196) op(e0, e3) = e3 % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (538), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (326) ~ (all_0_41_41 = e0) % 35.17/10.57 | % 35.17/10.57 | Equations (398) can reduce 326 to: % 35.17/10.57 | (303) $false % 35.17/10.57 | % 35.17/10.57 |-The branch is then unsatisfiable % 35.17/10.57 |-Branch two: % 35.17/10.57 | (398) all_0_41_41 = e0 % 35.17/10.57 | (2081) all_0_44_44 = e3 % 35.17/10.57 | % 35.17/10.57 | Equations (2081) can reduce 82 to: % 35.17/10.57 | (434) ~ (all_0_43_43 = e3) % 35.17/10.57 | % 35.17/10.57 | From (2081) and (107) follows: % 35.17/10.57 | (8330) op(e4, e0) = e3 % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (139), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (614) all_0_43_43 = e4 % 35.17/10.57 | % 35.17/10.57 | Equations (614) can reduce 249 to: % 35.17/10.57 | (347) ~ (all_0_59_59 = e4) % 35.17/10.57 | % 35.17/10.57 | Simplifying 347 yields: % 35.17/10.57 | (348) ~ (all_0_59_59 = e4) % 35.17/10.57 | % 35.17/10.57 | Equations (614) can reduce 253 to: % 35.17/10.57 | (231) ~ (e4 = e2) % 35.17/10.57 | % 35.17/10.57 | Equations (614) can reduce 117 to: % 35.17/10.57 | (4) ~ (e4 = e0) % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (100), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (618) all_0_43_43 = e1 % 35.17/10.57 | % 35.17/10.57 | Combining equations (614,618) yields a new equation: % 35.17/10.57 | (540) e4 = e1 % 35.17/10.57 | % 35.17/10.57 | Simplifying 540 yields: % 35.17/10.57 | (541) e4 = e1 % 35.17/10.57 | % 35.17/10.57 | Equations (541) can reduce 247 to: % 35.17/10.57 | (303) $false % 35.17/10.57 | % 35.17/10.57 |-The branch is then unsatisfiable % 35.17/10.57 |-Branch two: % 35.17/10.57 | (622) ~ (all_0_43_43 = e1) % 35.17/10.57 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (243), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (877) all_0_56_56 = e4 % 35.17/10.57 | % 35.17/10.57 | Equations (877) can reduce 42 to: % 35.17/10.57 | (347) ~ (all_0_59_59 = e4) % 35.17/10.57 | % 35.17/10.57 | Simplifying 347 yields: % 35.17/10.57 | (348) ~ (all_0_59_59 = e4) % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (175), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (624) all_0_40_40 = e1 % 35.17/10.57 | % 35.17/10.57 | Equations (624) can reduce 939 to: % 35.17/10.57 | (565) ~ (e2 = e1) % 35.17/10.57 | % 35.17/10.57 | Simplifying 565 yields: % 35.17/10.57 | (144) ~ (e2 = e1) % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (623), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (627) all_0_50_50 = e1 % 35.17/10.57 | % 35.17/10.57 | Combining equations (364,627) yields a new equation: % 35.17/10.57 | (584) e2 = e1 % 35.17/10.57 | % 35.17/10.57 | Simplifying 584 yields: % 35.17/10.57 | (585) e2 = e1 % 35.17/10.57 | % 35.17/10.57 | Equations (585) can reduce 144 to: % 35.17/10.57 | (303) $false % 35.17/10.57 | % 35.17/10.57 |-The branch is then unsatisfiable % 35.17/10.57 |-Branch two: % 35.17/10.57 | (678) ~ (all_0_50_50 = e1) % 35.17/10.57 | (600) all_0_59_59 = e1 % 35.17/10.57 | % 35.17/10.57 | Equations (600) can reduce 216 to: % 35.17/10.57 | (134) ~ (e1 = e0) % 35.17/10.57 | % 35.17/10.57 | From (600) and (90) follows: % 35.17/10.57 | (2749) op(e0, e1) = e1 % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (62), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (631) unit = e2 % 35.17/10.57 | % 35.17/10.57 | From (631) and (189) follows: % 35.17/10.57 | (397) op(e2, e0) = e0 % 35.17/10.57 | % 35.17/10.57 | From (631) and (190) follows: % 35.17/10.57 | (2716) op(e1, e2) = e1 % 35.17/10.57 | % 35.17/10.57 | Instantiating formula (29) with e2, e0, e0, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e0, yields: % 35.17/10.57 | (654) e4 = e0 % 35.17/10.57 | % 35.17/10.57 | Instantiating formula (29) with e1, e2, e1, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e1, yields: % 35.17/10.57 | (541) e4 = e1 % 35.17/10.57 | % 35.17/10.57 | Combining equations (654,541) yields a new equation: % 35.17/10.57 | (590) e1 = e0 % 35.17/10.57 | % 35.17/10.57 | Equations (590) can reduce 134 to: % 35.17/10.57 | (303) $false % 35.17/10.57 | % 35.17/10.57 |-The branch is then unsatisfiable % 35.17/10.57 |-Branch two: % 35.17/10.57 | (599) ~ (unit = e2) % 35.17/10.57 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (634), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (635) unit = e4 % 35.17/10.57 | % 35.17/10.57 | From (635) and (98) follows: % 35.17/10.57 | (2729) op(e3, e4) = e3 % 35.17/10.57 | % 35.17/10.57 | From (635) and (74) follows: % 35.17/10.57 | (637) op(e2, e4) = e2 % 35.17/10.57 | % 35.17/10.57 | From (635) and (190) follows: % 35.17/10.57 | (1178) op(e1, e4) = e1 % 35.17/10.57 | % 35.17/10.57 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 35.17/10.57 | (453) e3 = e2 % 35.17/10.57 | % 35.17/10.57 | Instantiating formula (29) with e2, e4, e2, e0 and discharging atoms op(e2, e4) = e2, op(e2, e4) = e0, yields: % 35.17/10.57 | (385) e2 = e0 % 35.17/10.57 | % 35.17/10.57 | Instantiating formula (29) with e1, e4, e1, e3 and discharging atoms op(e1, e4) = e3, op(e1, e4) = e1, yields: % 35.17/10.57 | (601) e3 = e1 % 35.17/10.57 | % 35.17/10.57 | Combining equations (453,601) yields a new equation: % 35.17/10.57 | (584) e2 = e1 % 35.17/10.57 | % 35.17/10.57 | Simplifying 584 yields: % 35.17/10.57 | (585) e2 = e1 % 35.17/10.57 | % 35.17/10.57 | Combining equations (585,385) yields a new equation: % 35.17/10.57 | (670) e1 = e0 % 35.17/10.57 | % 35.17/10.57 | Simplifying 670 yields: % 35.17/10.57 | (590) e1 = e0 % 35.17/10.57 | % 35.17/10.57 | Equations (590) can reduce 134 to: % 35.17/10.57 | (303) $false % 35.17/10.57 | % 35.17/10.57 |-The branch is then unsatisfiable % 35.17/10.57 |-Branch two: % 35.17/10.57 | (484) ~ (unit = e4) % 35.17/10.57 | (647) unit = e3 | unit = e1 | unit = e0 % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (647), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (648) unit = e1 % 35.17/10.57 | % 35.17/10.57 | Equations (648) can reduce 537 to: % 35.17/10.57 | (134) ~ (e1 = e0) % 35.17/10.57 | % 35.17/10.57 | From (648) and (111) follows: % 35.17/10.57 | (770) op(e0, e1) = e0 % 35.17/10.57 | % 35.17/10.57 | Instantiating formula (29) with e0, e1, e0, e1 and discharging atoms op(e0, e1) = e1, op(e0, e1) = e0, yields: % 35.17/10.57 | (590) e1 = e0 % 35.17/10.57 | % 35.17/10.57 | Equations (590) can reduce 134 to: % 35.17/10.57 | (303) $false % 35.17/10.57 | % 35.17/10.57 |-The branch is then unsatisfiable % 35.17/10.57 |-Branch two: % 35.17/10.57 | (510) ~ (unit = e1) % 35.17/10.57 | (659) unit = e3 | unit = e0 % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (659), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (660) unit = e0 % 35.17/10.57 | % 35.17/10.57 | Equations (660) can reduce 537 to: % 35.17/10.57 | (303) $false % 35.17/10.57 | % 35.17/10.57 |-The branch is then unsatisfiable % 35.17/10.57 |-Branch two: % 35.17/10.57 | (537) ~ (unit = e0) % 35.17/10.57 | (674) unit = e3 % 35.17/10.57 | % 35.17/10.57 | From (674) and (17) follows: % 35.17/10.57 | (1207) op(e3, e4) = e4 % 35.17/10.57 | % 35.17/10.57 | From (674) and (98) follows: % 35.17/10.57 | (1208) op(e3, e3) = e3 % 35.17/10.57 | % 35.17/10.57 | From (674) and (190) follows: % 35.17/10.57 | (468) op(e1, e3) = e1 % 35.17/10.57 | % 35.17/10.57 | From (674) and (111) follows: % 35.17/10.57 | (420) op(e0, e3) = e0 % 35.17/10.57 | % 35.17/10.57 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 35.17/10.57 | (470) e4 = e2 % 35.17/10.57 | % 35.17/10.57 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 35.17/10.57 | (443) e4 = e3 % 35.17/10.57 | % 35.17/10.57 | Instantiating formula (29) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 35.17/10.57 | (585) e2 = e1 % 35.17/10.57 | % 35.17/10.57 | Instantiating formula (29) with e0, e3, e0, e3 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields: % 35.17/10.57 | (497) e3 = e0 % 35.17/10.57 | % 35.17/10.57 | Combining equations (443,470) yields a new equation: % 35.17/10.57 | (452) e3 = e2 % 35.17/10.57 | % 35.17/10.57 | Simplifying 452 yields: % 35.17/10.57 | (453) e3 = e2 % 35.17/10.57 | % 35.17/10.57 | Combining equations (453,497) yields a new equation: % 35.17/10.57 | (403) e2 = e0 % 35.17/10.57 | % 35.17/10.57 | Simplifying 403 yields: % 35.17/10.57 | (385) e2 = e0 % 35.17/10.57 | % 35.17/10.57 | Combining equations (385,585) yields a new equation: % 35.17/10.57 | (590) e1 = e0 % 35.17/10.57 | % 35.17/10.57 | Equations (590) can reduce 134 to: % 35.17/10.57 | (303) $false % 35.17/10.57 | % 35.17/10.57 |-The branch is then unsatisfiable % 35.17/10.57 |-Branch two: % 35.17/10.57 | (683) ~ (all_0_40_40 = e1) % 35.17/10.57 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (44), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (624) all_0_40_40 = e1 % 35.17/10.57 | % 35.17/10.57 | Equations (624) can reduce 683 to: % 35.17/10.57 | (303) $false % 35.17/10.57 | % 35.17/10.57 |-The branch is then unsatisfiable % 35.17/10.57 |-Branch two: % 35.17/10.57 | (683) ~ (all_0_40_40 = e1) % 35.17/10.57 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (623), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (627) all_0_50_50 = e1 % 35.17/10.57 | % 35.17/10.57 | Combining equations (364,627) yields a new equation: % 35.17/10.57 | (584) e2 = e1 % 35.17/10.57 | % 35.17/10.57 | Simplifying 584 yields: % 35.17/10.57 | (585) e2 = e1 % 35.17/10.57 | % 35.17/10.57 | Equations (585) can reduce 144 to: % 35.17/10.57 | (303) $false % 35.17/10.57 | % 35.17/10.57 |-The branch is then unsatisfiable % 35.17/10.57 |-Branch two: % 35.17/10.57 | (678) ~ (all_0_50_50 = e1) % 35.17/10.57 | (600) all_0_59_59 = e1 % 35.17/10.57 | % 35.17/10.57 | Equations (600) can reduce 348 to: % 35.17/10.57 | (605) ~ (e4 = e1) % 35.17/10.57 | % 35.17/10.57 | Simplifying 605 yields: % 35.17/10.57 | (247) ~ (e4 = e1) % 35.17/10.57 | % 35.17/10.57 | Equations (600) can reduce 1031 to: % 35.17/10.57 | (465) ~ (e3 = e1) % 35.17/10.57 | % 35.17/10.57 | Simplifying 465 yields: % 35.17/10.57 | (136) ~ (e3 = e1) % 35.17/10.57 | % 35.17/10.57 | Equations (600) can reduce 216 to: % 35.17/10.57 | (134) ~ (e1 = e0) % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (684), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (748) all_0_48_48 = e1 % 35.17/10.57 | % 35.17/10.57 | Combining equations (748,380) yields a new equation: % 35.17/10.57 | (670) e1 = e0 % 35.17/10.57 | % 35.17/10.57 | Simplifying 670 yields: % 35.17/10.57 | (590) e1 = e0 % 35.17/10.57 | % 35.17/10.57 | Equations (590) can reduce 134 to: % 35.17/10.57 | (303) $false % 35.17/10.57 | % 35.17/10.57 |-The branch is then unsatisfiable % 35.17/10.57 |-Branch two: % 35.17/10.57 | (802) ~ (all_0_48_48 = e1) % 35.17/10.57 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 35.17/10.57 | % 35.17/10.57 | Equations (380) can reduce 802 to: % 35.17/10.57 | (661) ~ (e1 = e0) % 35.17/10.57 | % 35.17/10.57 | Simplifying 661 yields: % 35.17/10.57 | (134) ~ (e1 = e0) % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (688), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (696) all_0_41_41 = e1 % 35.17/10.57 | % 35.17/10.57 | Combining equations (696,398) yields a new equation: % 35.17/10.57 | (670) e1 = e0 % 35.17/10.57 | % 35.17/10.57 | Simplifying 670 yields: % 35.17/10.57 | (590) e1 = e0 % 35.17/10.57 | % 35.17/10.57 | Equations (590) can reduce 134 to: % 35.17/10.57 | (303) $false % 35.17/10.57 | % 35.17/10.57 |-The branch is then unsatisfiable % 35.17/10.57 |-Branch two: % 35.17/10.57 | (699) ~ (all_0_41_41 = e1) % 35.17/10.57 | (700) all_0_43_43 = e1 | all_0_44_44 = e1 % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (700), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (618) all_0_43_43 = e1 % 35.17/10.57 | % 35.17/10.57 | Combining equations (618,614) yields a new equation: % 35.17/10.57 | (541) e4 = e1 % 35.17/10.57 | % 35.17/10.57 | Equations (541) can reduce 247 to: % 35.17/10.57 | (303) $false % 35.17/10.57 | % 35.17/10.57 |-The branch is then unsatisfiable % 35.17/10.57 |-Branch two: % 35.17/10.57 | (622) ~ (all_0_43_43 = e1) % 35.17/10.57 | (705) all_0_44_44 = e1 % 35.17/10.57 | % 35.17/10.57 | Combining equations (705,2081) yields a new equation: % 35.17/10.57 | (601) e3 = e1 % 35.17/10.57 | % 35.17/10.57 | Equations (601) can reduce 136 to: % 35.17/10.57 | (303) $false % 35.17/10.57 | % 35.17/10.57 |-The branch is then unsatisfiable % 35.17/10.57 |-Branch two: % 35.17/10.57 | (345) ~ (all_0_56_56 = e4) % 35.17/10.57 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (227), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (909) all_0_59_59 = e2 % 35.17/10.57 | % 35.17/10.57 | Equations (909) can reduce 260 to: % 35.17/10.57 | (303) $false % 35.17/10.57 | % 35.17/10.57 |-The branch is then unsatisfiable % 35.17/10.57 |-Branch two: % 35.17/10.57 | (260) ~ (all_0_59_59 = e2) % 35.17/10.57 | (1037) all_0_59_59 = e4 | all_0_59_59 = e3 | all_0_59_59 = e1 % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (4489), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (344) all_0_58_58 = e4 % 35.17/10.57 | % 35.17/10.57 | Combining equations (989,344) yields a new equation: % 35.17/10.57 | (654) e4 = e0 % 35.17/10.57 | % 35.17/10.57 | Equations (654) can reduce 4 to: % 35.17/10.57 | (303) $false % 35.17/10.57 | % 35.17/10.57 |-The branch is then unsatisfiable % 35.17/10.57 |-Branch two: % 35.17/10.57 | (3161) ~ (all_0_58_58 = e4) % 35.17/10.57 | (4996) all_0_59_59 = e4 | all_0_60_60 = e4 % 35.17/10.57 | % 35.17/10.57 +-Applying beta-rule and splitting (1037), into two cases. % 35.17/10.57 |-Branch one: % 35.17/10.57 | (717) all_0_59_59 = e4 % 35.17/10.58 | % 35.17/10.58 | Equations (717) can reduce 348 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (348) ~ (all_0_59_59 = e4) % 35.17/10.58 | (1047) all_0_59_59 = e3 | all_0_59_59 = e1 % 35.17/10.58 | % 35.17/10.58 +-Applying beta-rule and splitting (623), into two cases. % 35.17/10.58 |-Branch one: % 35.17/10.58 | (627) all_0_50_50 = e1 % 35.17/10.58 | % 35.17/10.58 | Combining equations (364,627) yields a new equation: % 35.17/10.58 | (584) e2 = e1 % 35.17/10.58 | % 35.17/10.58 | Simplifying 584 yields: % 35.17/10.58 | (585) e2 = e1 % 35.17/10.58 | % 35.17/10.58 | Equations (585) can reduce 144 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (678) ~ (all_0_50_50 = e1) % 35.17/10.58 | (600) all_0_59_59 = e1 % 35.17/10.58 | % 35.17/10.58 | Equations (600) can reduce 348 to: % 35.17/10.58 | (605) ~ (e4 = e1) % 35.17/10.58 | % 35.17/10.58 | Simplifying 605 yields: % 35.17/10.58 | (247) ~ (e4 = e1) % 35.17/10.58 | % 35.17/10.58 +-Applying beta-rule and splitting (4996), into two cases. % 35.17/10.58 |-Branch one: % 35.17/10.58 | (717) all_0_59_59 = e4 % 35.17/10.58 | % 35.17/10.58 | Combining equations (717,600) yields a new equation: % 35.17/10.58 | (540) e4 = e1 % 35.17/10.58 | % 35.17/10.58 | Simplifying 540 yields: % 35.17/10.58 | (541) e4 = e1 % 35.17/10.58 | % 35.17/10.58 | Equations (541) can reduce 247 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (348) ~ (all_0_59_59 = e4) % 35.17/10.58 | (1510) all_0_60_60 = e4 % 35.17/10.58 | % 35.17/10.58 | Combining equations (913,1510) yields a new equation: % 35.17/10.58 | (470) e4 = e2 % 35.17/10.58 | % 35.17/10.58 | Equations (470) can reduce 231 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (712) ~ (all_0_43_43 = e4) % 35.17/10.58 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 35.17/10.58 | % 35.17/10.58 +-Applying beta-rule and splitting (191), into two cases. % 35.17/10.58 |-Branch one: % 35.17/10.58 | (965) all_0_43_43 = e2 % 35.17/10.58 | % 35.17/10.58 | Equations (965) can reduce 253 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (253) ~ (all_0_43_43 = e2) % 35.17/10.58 | (1634) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e1 % 35.17/10.58 | % 35.17/10.58 +-Applying beta-rule and splitting (21), into two cases. % 35.17/10.58 |-Branch one: % 35.17/10.58 | (723) all_0_40_40 = e4 % 35.17/10.58 | % 35.17/10.58 | Equations (723) can reduce 57 to: % 35.17/10.58 | (2280) ~ (all_0_56_56 = e4) % 35.17/10.58 | % 35.17/10.58 | Simplifying 2280 yields: % 35.17/10.58 | (345) ~ (all_0_56_56 = e4) % 35.17/10.58 | % 35.17/10.58 | Equations (723) can reduce 939 to: % 35.17/10.58 | (231) ~ (e4 = e2) % 35.17/10.58 | % 35.17/10.58 | Equations (723) can reduce 288 to: % 35.17/10.58 | (4) ~ (e4 = e0) % 35.17/10.58 | % 35.17/10.58 +-Applying beta-rule and splitting (243), into two cases. % 35.17/10.58 |-Branch one: % 35.17/10.58 | (877) all_0_56_56 = e4 % 35.17/10.58 | % 35.17/10.58 | Equations (877) can reduce 345 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (345) ~ (all_0_56_56 = e4) % 35.17/10.58 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 35.17/10.58 | % 35.17/10.58 +-Applying beta-rule and splitting (4489), into two cases. % 35.17/10.58 |-Branch one: % 35.17/10.58 | (344) all_0_58_58 = e4 % 35.17/10.58 | % 35.17/10.58 | Combining equations (989,344) yields a new equation: % 35.17/10.58 | (654) e4 = e0 % 35.17/10.58 | % 35.17/10.58 | Equations (654) can reduce 4 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (3161) ~ (all_0_58_58 = e4) % 35.17/10.58 | (4996) all_0_59_59 = e4 | all_0_60_60 = e4 % 35.17/10.58 | % 35.17/10.58 +-Applying beta-rule and splitting (4996), into two cases. % 35.17/10.58 |-Branch one: % 35.17/10.58 | (717) all_0_59_59 = e4 % 35.17/10.58 | % 35.17/10.58 | Equations (717) can reduce 249 to: % 35.17/10.58 | (712) ~ (all_0_43_43 = e4) % 35.17/10.58 | % 35.17/10.58 | From (717) and (90) follows: % 35.17/10.58 | (3322) op(e0, e1) = e4 % 35.17/10.58 | % 35.17/10.58 +-Applying beta-rule and splitting (100), into two cases. % 35.17/10.58 |-Branch one: % 35.17/10.58 | (618) all_0_43_43 = e1 % 35.17/10.58 | % 35.17/10.58 | Equations (618) can reduce 712 to: % 35.17/10.58 | (605) ~ (e4 = e1) % 35.17/10.58 | % 35.17/10.58 | Simplifying 605 yields: % 35.17/10.58 | (247) ~ (e4 = e1) % 35.17/10.58 | % 35.17/10.58 | Equations (618) can reduce 434 to: % 35.17/10.58 | (465) ~ (e3 = e1) % 35.17/10.58 | % 35.17/10.58 | Simplifying 465 yields: % 35.17/10.58 | (136) ~ (e3 = e1) % 35.17/10.58 | % 35.17/10.58 | Equations (618) can reduce 117 to: % 35.17/10.58 | (134) ~ (e1 = e0) % 35.17/10.58 | % 35.17/10.58 | From (618) and (19) follows: % 35.17/10.58 | (636) op(e4, e1) = e1 % 35.17/10.58 | % 35.17/10.58 +-Applying beta-rule and splitting (245), into two cases. % 35.17/10.58 |-Branch one: % 35.17/10.58 | (583) all_0_56_56 = e1 % 35.17/10.58 | % 35.17/10.58 | Equations (583) can reduce 296 to: % 35.17/10.58 | (134) ~ (e1 = e0) % 35.17/10.58 | % 35.17/10.58 +-Applying beta-rule and splitting (62), into two cases. % 35.17/10.58 |-Branch one: % 35.17/10.58 | (631) unit = e2 % 35.17/10.58 | % 35.17/10.58 | From (631) and (189) follows: % 35.17/10.58 | (397) op(e2, e0) = e0 % 35.17/10.58 | % 35.17/10.58 | From (631) and (190) follows: % 35.17/10.58 | (2716) op(e1, e2) = e1 % 35.17/10.58 | % 35.17/10.58 | Instantiating formula (29) with e2, e0, e0, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e0, yields: % 35.17/10.58 | (654) e4 = e0 % 35.17/10.58 | % 35.17/10.58 | Instantiating formula (29) with e1, e2, e1, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e1, yields: % 35.17/10.58 | (541) e4 = e1 % 35.17/10.58 | % 35.17/10.58 | Combining equations (654,541) yields a new equation: % 35.17/10.58 | (590) e1 = e0 % 35.17/10.58 | % 35.17/10.58 | Equations (590) can reduce 134 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (599) ~ (unit = e2) % 35.17/10.58 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 35.17/10.58 | % 35.17/10.58 +-Applying beta-rule and splitting (634), into two cases. % 35.17/10.58 |-Branch one: % 35.17/10.58 | (635) unit = e4 % 35.17/10.58 | % 35.17/10.58 | From (635) and (189) follows: % 35.17/10.58 | (8484) op(e4, e0) = e0 % 35.17/10.58 | % 35.17/10.58 | From (635) and (98) follows: % 35.17/10.58 | (2729) op(e3, e4) = e3 % 35.17/10.58 | % 35.17/10.58 | From (635) and (190) follows: % 35.17/10.58 | (1178) op(e1, e4) = e1 % 35.17/10.58 | % 35.17/10.58 | Instantiating formula (29) with e4, e0, e0, e3 and discharging atoms op(e4, e0) = e3, op(e4, e0) = e0, yields: % 35.17/10.58 | (497) e3 = e0 % 35.17/10.58 | % 35.17/10.58 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 35.17/10.58 | (453) e3 = e2 % 35.17/10.58 | % 35.17/10.58 | Instantiating formula (29) with e1, e4, e1, e3 and discharging atoms op(e1, e4) = e3, op(e1, e4) = e1, yields: % 35.17/10.58 | (601) e3 = e1 % 35.17/10.58 | % 35.17/10.58 | Combining equations (497,453) yields a new equation: % 35.17/10.58 | (385) e2 = e0 % 35.17/10.58 | % 35.17/10.58 | Combining equations (601,453) yields a new equation: % 35.17/10.58 | (585) e2 = e1 % 35.17/10.58 | % 35.17/10.58 | Combining equations (585,385) yields a new equation: % 35.17/10.58 | (670) e1 = e0 % 35.17/10.58 | % 35.17/10.58 | Simplifying 670 yields: % 35.17/10.58 | (590) e1 = e0 % 35.17/10.58 | % 35.17/10.58 | Equations (590) can reduce 134 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (484) ~ (unit = e4) % 35.17/10.58 | (647) unit = e3 | unit = e1 | unit = e0 % 35.17/10.58 | % 35.17/10.58 +-Applying beta-rule and splitting (647), into two cases. % 35.17/10.58 |-Branch one: % 35.17/10.58 | (648) unit = e1 % 35.17/10.58 | % 35.17/10.58 | Equations (648) can reduce 537 to: % 35.17/10.58 | (134) ~ (e1 = e0) % 35.17/10.58 | % 35.17/10.58 | From (648) and (130) follows: % 35.17/10.58 | (617) op(e4, e1) = e4 % 35.17/10.58 | % 35.17/10.58 | From (648) and (111) follows: % 35.17/10.58 | (770) op(e0, e1) = e0 % 35.17/10.58 | % 35.17/10.58 | Instantiating formula (29) with e4, e1, e4, e1 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e1, yields: % 35.17/10.58 | (541) e4 = e1 % 35.17/10.58 | % 35.17/10.58 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 35.17/10.58 | (654) e4 = e0 % 35.17/10.58 | % 35.17/10.58 | Combining equations (541,654) yields a new equation: % 35.17/10.58 | (670) e1 = e0 % 35.17/10.58 | % 35.17/10.58 | Simplifying 670 yields: % 35.17/10.58 | (590) e1 = e0 % 35.17/10.58 | % 35.17/10.58 | Equations (590) can reduce 134 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (510) ~ (unit = e1) % 35.17/10.58 | (659) unit = e3 | unit = e0 % 35.17/10.58 | % 35.17/10.58 +-Applying beta-rule and splitting (659), into two cases. % 35.17/10.58 |-Branch one: % 35.17/10.58 | (660) unit = e0 % 35.17/10.58 | % 35.17/10.58 | Equations (660) can reduce 537 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (537) ~ (unit = e0) % 35.17/10.58 | (674) unit = e3 % 35.17/10.58 | % 35.17/10.58 | From (674) and (17) follows: % 35.17/10.58 | (1207) op(e3, e4) = e4 % 35.17/10.58 | % 35.17/10.58 | From (674) and (98) follows: % 35.17/10.58 | (1208) op(e3, e3) = e3 % 35.17/10.58 | % 35.17/10.58 | From (674) and (190) follows: % 35.17/10.58 | (468) op(e1, e3) = e1 % 35.17/10.58 | % 35.17/10.58 | From (674) and (111) follows: % 35.17/10.58 | (420) op(e0, e3) = e0 % 35.17/10.58 | % 35.17/10.58 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 35.17/10.58 | (470) e4 = e2 % 35.17/10.58 | % 35.17/10.58 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 35.17/10.58 | (443) e4 = e3 % 35.17/10.58 | % 35.17/10.58 | Instantiating formula (29) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 35.17/10.58 | (585) e2 = e1 % 35.17/10.58 | % 35.17/10.58 | Instantiating formula (29) with e0, e3, e0, e3 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields: % 35.17/10.58 | (497) e3 = e0 % 35.17/10.58 | % 35.17/10.58 | Combining equations (443,470) yields a new equation: % 35.17/10.58 | (452) e3 = e2 % 35.17/10.58 | % 35.17/10.58 | Simplifying 452 yields: % 35.17/10.58 | (453) e3 = e2 % 35.17/10.58 | % 35.17/10.58 | Combining equations (453,497) yields a new equation: % 35.17/10.58 | (403) e2 = e0 % 35.17/10.58 | % 35.17/10.58 | Simplifying 403 yields: % 35.17/10.58 | (385) e2 = e0 % 35.17/10.58 | % 35.17/10.58 | Combining equations (385,585) yields a new equation: % 35.17/10.58 | (590) e1 = e0 % 35.17/10.58 | % 35.17/10.58 | Equations (590) can reduce 134 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (587) ~ (all_0_56_56 = e1) % 35.17/10.58 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 35.17/10.58 | % 35.17/10.58 +-Applying beta-rule and splitting (175), into two cases. % 35.17/10.58 |-Branch one: % 35.17/10.58 | (624) all_0_40_40 = e1 % 35.17/10.58 | % 35.17/10.58 | Combining equations (624,723) yields a new equation: % 35.17/10.58 | (541) e4 = e1 % 35.17/10.58 | % 35.17/10.58 | Equations (541) can reduce 247 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (683) ~ (all_0_40_40 = e1) % 35.17/10.58 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 35.17/10.58 | % 35.17/10.58 +-Applying beta-rule and splitting (588), into two cases. % 35.17/10.58 |-Branch one: % 35.17/10.58 | (589) all_0_57_57 = e1 % 35.17/10.58 | % 35.17/10.58 | Combining equations (1001,589) yields a new equation: % 35.17/10.58 | (680) e3 = e1 % 35.17/10.58 | % 35.17/10.58 | Simplifying 680 yields: % 35.17/10.58 | (601) e3 = e1 % 35.17/10.58 | % 35.17/10.58 | Equations (601) can reduce 136 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (592) ~ (all_0_57_57 = e1) % 35.17/10.58 | (593) all_0_59_59 = e1 | all_0_60_60 = e1 % 35.17/10.58 | % 35.17/10.58 | Equations (1001) can reduce 592 to: % 35.17/10.58 | (136) ~ (e3 = e1) % 35.17/10.58 | % 35.17/10.58 +-Applying beta-rule and splitting (684), into two cases. % 35.17/10.58 |-Branch one: % 35.17/10.58 | (748) all_0_48_48 = e1 % 35.17/10.58 | % 35.17/10.58 | Combining equations (380,748) yields a new equation: % 35.17/10.58 | (590) e1 = e0 % 35.17/10.58 | % 35.17/10.58 | Equations (590) can reduce 134 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (802) ~ (all_0_48_48 = e1) % 35.17/10.58 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 35.17/10.58 | % 35.17/10.58 +-Applying beta-rule and splitting (807), into two cases. % 35.17/10.58 |-Branch one: % 35.17/10.58 | (1070) all_0_52_52 = e1 % 35.17/10.58 | % 35.17/10.58 | Combining equations (425,1070) yields a new equation: % 35.17/10.58 | (680) e3 = e1 % 35.17/10.58 | % 35.17/10.58 | Simplifying 680 yields: % 35.17/10.58 | (601) e3 = e1 % 35.17/10.58 | % 35.17/10.58 | Equations (601) can reduce 136 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (502) ~ (all_0_52_52 = e1) % 35.17/10.58 | (583) all_0_56_56 = e1 % 35.17/10.58 | % 35.17/10.58 | Equations (583) can reduce 587 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (622) ~ (all_0_43_43 = e1) % 35.17/10.58 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 35.17/10.58 | % 35.17/10.58 +-Applying beta-rule and splitting (1634), into two cases. % 35.17/10.58 |-Branch one: % 35.17/10.58 | (614) all_0_43_43 = e4 % 35.17/10.58 | % 35.17/10.58 | Equations (614) can reduce 712 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (712) ~ (all_0_43_43 = e4) % 35.17/10.58 | (2084) all_0_43_43 = e3 | all_0_43_43 = e1 % 35.17/10.58 | % 35.17/10.58 +-Applying beta-rule and splitting (2084), into two cases. % 35.17/10.58 |-Branch one: % 35.17/10.58 | (618) all_0_43_43 = e1 % 35.17/10.58 | % 35.17/10.58 | Equations (618) can reduce 622 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (622) ~ (all_0_43_43 = e1) % 35.17/10.58 | (447) all_0_43_43 = e3 % 35.17/10.58 | % 35.17/10.58 | Equations (447) can reduce 434 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (348) ~ (all_0_59_59 = e4) % 35.17/10.58 | (1510) all_0_60_60 = e4 % 35.17/10.58 | % 35.17/10.58 | Combining equations (1510,913) yields a new equation: % 35.17/10.58 | (878) e4 = e2 % 35.17/10.58 | % 35.17/10.58 | Simplifying 878 yields: % 35.17/10.58 | (470) e4 = e2 % 35.17/10.58 | % 35.17/10.58 | Equations (470) can reduce 231 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (844) ~ (all_0_40_40 = e4) % 35.17/10.58 | (6577) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 35.17/10.58 | % 35.17/10.58 +-Applying beta-rule and splitting (713), into two cases. % 35.17/10.58 |-Branch one: % 35.17/10.58 | (714) all_0_50_50 = e4 % 35.17/10.58 | % 35.17/10.58 | Combining equations (364,714) yields a new equation: % 35.17/10.58 | (470) e4 = e2 % 35.17/10.58 | % 35.17/10.58 | Equations (470) can reduce 231 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (611) ~ (all_0_50_50 = e4) % 35.17/10.58 | (717) all_0_59_59 = e4 % 35.17/10.58 | % 35.17/10.58 | Equations (717) can reduce 249 to: % 35.17/10.58 | (712) ~ (all_0_43_43 = e4) % 35.17/10.58 | % 35.17/10.58 | Equations (717) can reduce 1031 to: % 35.17/10.58 | (30) ~ (e4 = e3) % 35.17/10.58 | % 35.17/10.58 | Equations (717) can reduce 260 to: % 35.17/10.58 | (231) ~ (e4 = e2) % 35.17/10.58 | % 35.17/10.58 +-Applying beta-rule and splitting (6577), into two cases. % 35.17/10.58 |-Branch one: % 35.17/10.58 | (3175) all_0_42_42 = e4 % 35.17/10.58 | % 35.17/10.58 | Combining equations (3175,959) yields a new equation: % 35.17/10.58 | (878) e4 = e2 % 35.17/10.58 | % 35.17/10.58 | Simplifying 878 yields: % 35.17/10.58 | (470) e4 = e2 % 35.17/10.58 | % 35.17/10.58 | Equations (470) can reduce 231 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (6245) ~ (all_0_42_42 = e4) % 35.17/10.58 | (6600) all_0_43_43 = e4 | all_0_44_44 = e4 % 35.17/10.58 | % 35.17/10.58 +-Applying beta-rule and splitting (6600), into two cases. % 35.17/10.58 |-Branch one: % 35.17/10.58 | (614) all_0_43_43 = e4 % 35.17/10.58 | % 35.17/10.58 | Equations (614) can reduce 712 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (712) ~ (all_0_43_43 = e4) % 35.17/10.58 | (1096) all_0_44_44 = e4 % 35.17/10.58 | % 35.17/10.58 | Combining equations (2081,1096) yields a new equation: % 35.17/10.58 | (443) e4 = e3 % 35.17/10.58 | % 35.17/10.58 | Equations (443) can reduce 30 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (326) ~ (all_0_41_41 = e0) % 35.17/10.58 | (401) all_0_49_49 = e0 | all_0_57_57 = e0 % 35.17/10.58 | % 35.17/10.58 +-Applying beta-rule and splitting (180), into two cases. % 35.17/10.58 |-Branch one: % 35.17/10.58 | (945) all_0_41_41 = e2 % 35.17/10.58 | % 35.17/10.58 | Equations (945) can reduce 369 to: % 35.17/10.58 | (303) $false % 35.17/10.58 | % 35.17/10.58 |-The branch is then unsatisfiable % 35.17/10.58 |-Branch two: % 35.17/10.58 | (369) ~ (all_0_41_41 = e2) % 35.17/10.58 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 35.17/10.58 | % 35.17/10.58 +-Applying beta-rule and splitting (195), into two cases. % 35.17/10.58 |-Branch one: % 35.17/10.58 | (2081) all_0_44_44 = e3 % 35.17/10.58 | % 35.17/10.59 | Equations (2081) can reduce 915 to: % 35.17/10.59 | (223) ~ (e3 = e2) % 35.17/10.59 | % 35.17/10.59 +-Applying beta-rule and splitting (209), into two cases. % 35.17/10.59 |-Branch one: % 35.17/10.59 | (1111) all_0_56_56 = e3 % 35.17/10.59 | % 35.17/10.59 | Equations (1111) can reduce 526 to: % 35.17/10.59 | (303) $false % 35.17/10.59 | % 35.17/10.59 |-The branch is then unsatisfiable % 35.17/10.59 |-Branch two: % 35.17/10.59 | (526) ~ (all_0_56_56 = e3) % 35.17/10.59 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 35.17/10.59 | % 35.17/10.59 +-Applying beta-rule and splitting (1491), into two cases. % 35.17/10.59 |-Branch one: % 35.17/10.59 | (1001) all_0_57_57 = e3 % 35.17/10.59 | % 35.17/10.59 | Equations (1001) can reduce 11 to: % 35.17/10.59 | (996) ~ (all_0_41_41 = e3) % 35.17/10.59 | % 35.17/10.59 +-Applying beta-rule and splitting (1017), into two cases. % 35.17/10.59 |-Branch one: % 35.17/10.59 | (696) all_0_41_41 = e1 % 35.17/10.59 | % 35.17/10.59 | Equations (696) can reduce 699 to: % 35.17/10.59 | (303) $false % 35.17/10.59 | % 35.17/10.59 |-The branch is then unsatisfiable % 35.17/10.59 |-Branch two: % 35.17/10.59 | (699) ~ (all_0_41_41 = e1) % 35.17/10.59 | (2158) all_0_41_41 = e3 | all_0_41_41 = e0 % 35.17/10.59 | % 35.17/10.59 +-Applying beta-rule and splitting (2158), into two cases. % 35.17/10.59 |-Branch one: % 35.17/10.59 | (398) all_0_41_41 = e0 % 35.17/10.59 | % 35.17/10.59 | Equations (398) can reduce 326 to: % 35.17/10.59 | (303) $false % 35.17/10.59 | % 35.17/10.59 |-The branch is then unsatisfiable % 35.17/10.59 |-Branch two: % 35.17/10.59 | (326) ~ (all_0_41_41 = e0) % 35.17/10.59 | (431) all_0_41_41 = e3 % 35.17/10.59 | % 35.17/10.59 | Equations (431) can reduce 996 to: % 35.17/10.59 | (303) $false % 35.17/10.59 | % 35.17/10.59 |-The branch is then unsatisfiable % 35.17/10.59 |-Branch two: % 35.17/10.59 | (2590) ~ (all_0_57_57 = e3) % 35.17/10.59 | (2977) all_0_59_59 = e3 | all_0_60_60 = e3 % 35.17/10.59 | % 35.17/10.59 +-Applying beta-rule and splitting (2977), into two cases. % 35.17/10.59 |-Branch one: % 35.17/10.59 | (456) all_0_59_59 = e3 % 35.17/10.59 | % 35.17/10.59 | Equations (456) can reduce 1031 to: % 35.17/10.59 | (303) $false % 35.17/10.59 | % 35.17/10.59 |-The branch is then unsatisfiable % 35.17/10.59 |-Branch two: % 35.17/10.59 | (1031) ~ (all_0_59_59 = e3) % 35.17/10.59 | (1937) all_0_60_60 = e3 % 35.17/10.59 | % 35.17/10.59 | Combining equations (1937,913) yields a new equation: % 35.17/10.59 | (452) e3 = e2 % 35.17/10.59 | % 35.17/10.59 | Simplifying 452 yields: % 35.17/10.59 | (453) e3 = e2 % 35.17/10.59 | % 35.17/10.59 | Equations (453) can reduce 223 to: % 35.17/10.59 | (303) $false % 35.17/10.59 | % 35.17/10.59 |-The branch is then unsatisfiable % 35.17/10.59 |-Branch two: % 35.17/10.59 | (310) ~ (all_0_44_44 = e3) % 35.17/10.59 | (7006) all_0_47_47 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 35.17/10.59 | % 35.17/10.59 +-Applying beta-rule and splitting (7006), into two cases. % 35.17/10.59 |-Branch one: % 35.17/10.59 | (309) all_0_47_47 = e3 % 35.17/10.59 | % 35.17/10.59 | Combining equations (309,306) yields a new equation: % 35.17/10.59 | (496) e3 = e0 % 35.17/10.59 | % 35.17/10.59 | Simplifying 496 yields: % 35.17/10.59 | (497) e3 = e0 % 35.17/10.59 | % 35.17/10.59 | Equations (497) can reduce 70 to: % 35.17/10.59 | (303) $false % 35.17/10.59 | % 35.17/10.59 |-The branch is then unsatisfiable % 35.17/10.59 |-Branch two: % 35.17/10.59 | (516) ~ (all_0_47_47 = e3) % 35.17/10.59 | (7012) all_0_55_55 = e3 | all_0_60_60 = e3 % 35.17/10.59 | % 35.17/10.59 +-Applying beta-rule and splitting (7012), into two cases. % 35.17/10.59 |-Branch one: % 35.17/10.59 | (2165) all_0_55_55 = e3 % 35.17/10.59 | % 35.17/10.59 | Combining equations (2165,530) yields a new equation: % 35.17/10.59 | (680) e3 = e1 % 35.17/10.59 | % 35.17/10.59 | Simplifying 680 yields: % 35.17/10.59 | (601) e3 = e1 % 35.17/10.59 | % 35.17/10.59 | Equations (601) can reduce 136 to: % 35.17/10.59 | (303) $false % 35.17/10.59 | % 35.17/10.59 |-The branch is then unsatisfiable % 35.17/10.59 |-Branch two: % 35.17/10.59 | (314) ~ (all_0_55_55 = e3) % 35.17/10.59 | (1937) all_0_60_60 = e3 % 35.17/10.59 | % 35.17/10.59 | Combining equations (913,1937) yields a new equation: % 35.17/10.59 | (453) e3 = e2 % 35.17/10.59 | % 35.17/10.59 | Equations (453) can reduce 223 to: % 35.17/10.59 | (303) $false % 35.17/10.59 | % 35.17/10.59 |-The branch is then unsatisfiable % 35.17/10.59 |-Branch two: % 35.17/10.59 | (272) ~ (all_0_42_42 = e2) % 35.17/10.59 | (26310) all_0_42_42 = e4 | all_0_42_42 = e0 % 35.17/10.59 | % 35.17/10.59 +-Applying beta-rule and splitting (20), into two cases. % 35.17/10.59 |-Branch one: % 35.17/10.59 | (959) all_0_42_42 = e2 % 35.17/10.59 | % 35.17/10.59 | Equations (959) can reduce 272 to: % 35.17/10.59 | (303) $false % 35.17/10.59 | % 35.17/10.59 |-The branch is then unsatisfiable % 35.17/10.59 |-Branch two: % 35.17/10.59 | (272) ~ (all_0_42_42 = e2) % 35.17/10.59 | (25387) all_0_54_54 = e2 | all_0_58_58 = e2 % 35.17/10.59 | % 35.17/10.59 +-Applying beta-rule and splitting (26310), into two cases. % 35.17/10.59 |-Branch one: % 35.17/10.59 | (3175) all_0_42_42 = e4 % 35.17/10.59 | % 35.17/10.59 | Equations (3175) can reduce 6245 to: % 35.17/10.59 | (303) $false % 35.17/10.59 | % 35.17/10.59 |-The branch is then unsatisfiable % 35.17/10.59 |-Branch two: % 35.17/10.59 | (6245) ~ (all_0_42_42 = e4) % 35.17/10.59 | (324) all_0_42_42 = e0 % 35.17/10.59 | % 35.17/10.59 | Equations (324) can reduce 119 to: % 35.17/10.59 | (327) ~ (all_0_43_43 = e0) % 35.17/10.59 | % 35.17/10.59 | Simplifying 327 yields: % 35.17/10.59 | (117) ~ (all_0_43_43 = e0) % 35.17/10.59 | % 35.17/10.59 | Equations (324) can reduce 60 to: % 35.17/10.59 | (331) ~ (all_0_58_58 = e0) % 35.17/10.59 | % 35.17/10.59 | Simplifying 331 yields: % 35.17/10.59 | (332) ~ (all_0_58_58 = e0) % 35.17/10.59 | % 35.17/10.59 +-Applying beta-rule and splitting (244), into two cases. % 35.17/10.59 |-Branch one: % 35.17/10.59 | (340) all_0_58_58 = e2 % 35.17/10.59 | % 35.17/10.59 | Equations (340) can reduce 71 to: % 35.17/10.59 | (594) ~ (all_0_56_56 = e2) % 35.17/10.59 | % 35.17/10.59 | Equations (340) can reduce 178 to: % 35.17/10.59 | (377) ~ (all_0_57_57 = e2) % 35.17/10.59 | % 35.17/10.59 | Equations (340) can reduce 23 to: % 35.17/10.59 | (259) ~ (all_0_59_59 = e2) % 35.17/10.59 | % 35.17/10.59 | Simplifying 259 yields: % 35.17/10.59 | (260) ~ (all_0_59_59 = e2) % 35.17/10.59 | % 35.17/10.59 | Equations (340) can reduce 9 to: % 35.17/10.59 | (573) ~ (all_0_60_60 = e2) % 35.17/10.59 | % 35.17/10.59 | Simplifying 573 yields: % 35.17/10.59 | (571) ~ (all_0_60_60 = e2) % 35.17/10.59 | % 35.17/10.59 | Equations (340) can reduce 332 to: % 35.17/10.59 | (51) ~ (e2 = e0) % 35.17/10.59 | % 35.17/10.59 | From (340) and (135) follows: % 35.17/10.59 | (663) op(e0, e2) = e2 % 35.17/10.59 | % 35.17/10.59 +-Applying beta-rule and splitting (50), into two cases. % 35.17/10.59 |-Branch one: % 35.17/10.59 | (2307) all_0_56_56 = e0 % 35.17/10.59 | % 35.17/10.59 | Equations (2307) can reduce 296 to: % 35.17/10.59 | (303) $false % 35.17/10.59 | % 35.17/10.59 |-The branch is then unsatisfiable % 35.17/10.59 |-Branch two: % 35.17/10.59 | (296) ~ (all_0_56_56 = e0) % 35.17/10.59 | (2310) all_0_57_57 = e0 | all_0_58_58 = e0 | all_0_60_60 = e0 % 35.17/10.59 | % 35.17/10.59 +-Applying beta-rule and splitting (2310), into two cases. % 35.17/10.59 |-Branch one: % 35.17/10.59 | (407) all_0_57_57 = e0 % 35.17/10.59 | % 35.17/10.59 | Equations (407) can reduce 11 to: % 35.17/10.59 | (326) ~ (all_0_41_41 = e0) % 35.17/10.59 | % 35.17/10.59 | Equations (407) can reduce 172 to: % 35.17/10.59 | (296) ~ (all_0_56_56 = e0) % 35.17/10.59 | % 35.17/10.59 | Equations (407) can reduce 222 to: % 35.17/10.59 | (411) ~ (all_0_59_59 = e0) % 35.17/10.59 | % 35.17/10.59 | Simplifying 411 yields: % 35.17/10.59 | (216) ~ (all_0_59_59 = e0) % 35.17/10.59 | % 35.17/10.59 | Equations (407) can reduce 377 to: % 35.17/10.59 | (335) ~ (e2 = e0) % 35.17/10.59 | % 35.17/10.59 | Simplifying 335 yields: % 35.17/10.59 | (51) ~ (e2 = e0) % 35.17/10.59 | % 35.17/10.59 | Equations (407) can reduce 592 to: % 35.17/10.59 | (661) ~ (e1 = e0) % 35.17/10.59 | % 35.17/10.59 | Simplifying 661 yields: % 35.17/10.59 | (134) ~ (e1 = e0) % 35.17/10.59 | % 35.17/10.59 +-Applying beta-rule and splitting (180), into two cases. % 35.17/10.59 |-Branch one: % 35.17/10.59 | (945) all_0_41_41 = e2 % 35.17/10.59 | % 35.17/10.59 | Equations (945) can reduce 369 to: % 35.17/10.59 | (303) $false % 35.17/10.59 | % 35.17/10.59 |-The branch is then unsatisfiable % 35.17/10.59 |-Branch two: % 35.17/10.59 | (369) ~ (all_0_41_41 = e2) % 35.17/10.59 | (1017) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 35.17/10.59 | % 35.17/10.59 +-Applying beta-rule and splitting (1017), into two cases. % 35.17/10.59 |-Branch one: % 35.17/10.59 | (696) all_0_41_41 = e1 % 35.17/10.59 | % 35.17/10.59 | Equations (696) can reduce 699 to: % 35.17/10.59 | (303) $false % 35.17/10.59 | % 35.17/10.59 |-The branch is then unsatisfiable % 35.17/10.59 |-Branch two: % 35.17/10.59 | (699) ~ (all_0_41_41 = e1) % 35.17/10.59 | (2158) all_0_41_41 = e3 | all_0_41_41 = e0 % 35.17/10.59 | % 35.17/10.59 +-Applying beta-rule and splitting (2158), into two cases. % 35.17/10.59 |-Branch one: % 35.17/10.59 | (398) all_0_41_41 = e0 % 35.17/10.59 | % 35.17/10.59 | Equations (398) can reduce 326 to: % 35.17/10.59 | (303) $false % 35.17/10.59 | % 35.17/10.59 |-The branch is then unsatisfiable % 35.17/10.59 |-Branch two: % 35.17/10.59 | (326) ~ (all_0_41_41 = e0) % 35.17/10.59 | (431) all_0_41_41 = e3 % 35.17/10.59 | % 35.17/10.59 | Equations (431) can reduce 151 to: % 35.17/10.59 | (432) ~ (all_0_40_40 = e3) % 35.17/10.59 | % 35.17/10.59 | Equations (431) can reduce 43 to: % 35.17/10.59 | (433) ~ (all_0_43_43 = e3) % 35.17/10.59 | % 35.17/10.59 | Simplifying 433 yields: % 35.17/10.59 | (434) ~ (all_0_43_43 = e3) % 35.17/10.59 | % 35.17/10.59 | Equations (431) can reduce 326 to: % 35.17/10.59 | (70) ~ (e3 = e0) % 35.17/10.59 | % 35.17/10.59 +-Applying beta-rule and splitting (87), into two cases. % 35.17/10.59 |-Branch one: % 35.17/10.59 | (572) all_0_44_44 = e2 % 35.17/10.59 | % 35.17/10.59 | Equations (572) can reduce 124 to: % 35.17/10.59 | (939) ~ (all_0_40_40 = e2) % 35.17/10.59 | % 35.17/10.59 | Equations (572) can reduce 82 to: % 35.17/10.59 | (253) ~ (all_0_43_43 = e2) % 35.17/10.59 | % 35.17/10.59 | Equations (572) can reduce 474 to: % 35.17/10.59 | (261) ~ (e4 = e2) % 35.17/10.59 | % 35.17/10.59 | Simplifying 261 yields: % 35.17/10.59 | (231) ~ (e4 = e2) % 35.17/10.59 | % 35.17/10.59 | Equations (572) can reduce 512 to: % 35.17/10.59 | (144) ~ (e2 = e1) % 35.17/10.59 | % 35.17/10.59 +-Applying beta-rule and splitting (209), into two cases. % 35.17/10.59 |-Branch one: % 35.17/10.59 | (1111) all_0_56_56 = e3 % 35.17/10.59 | % 35.17/10.59 | Equations (1111) can reduce 526 to: % 35.17/10.59 | (303) $false % 35.17/10.59 | % 35.17/10.59 |-The branch is then unsatisfiable % 35.17/10.59 |-Branch two: % 35.17/10.59 | (526) ~ (all_0_56_56 = e3) % 35.17/10.59 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 35.17/10.59 | % 35.17/10.59 +-Applying beta-rule and splitting (1491), into two cases. % 35.17/10.59 |-Branch one: % 35.17/10.59 | (1001) all_0_57_57 = e3 % 35.17/10.59 | % 35.17/10.59 | Combining equations (407,1001) yields a new equation: % 35.17/10.59 | (497) e3 = e0 % 35.17/10.59 | % 35.17/10.59 | Equations (497) can reduce 70 to: % 35.17/10.59 | (303) $false % 35.17/10.59 | % 35.17/10.59 |-The branch is then unsatisfiable % 35.17/10.59 |-Branch two: % 35.17/10.59 | (2590) ~ (all_0_57_57 = e3) % 35.17/10.59 | (2977) all_0_59_59 = e3 | all_0_60_60 = e3 % 35.17/10.59 | % 35.17/10.59 +-Applying beta-rule and splitting (2977), into two cases. % 35.17/10.59 |-Branch one: % 35.17/10.59 | (456) all_0_59_59 = e3 % 35.17/10.59 | % 35.17/10.59 | Equations (456) can reduce 1031 to: % 35.17/10.59 | (303) $false % 35.17/10.59 | % 35.17/10.59 |-The branch is then unsatisfiable % 35.17/10.59 |-Branch two: % 35.17/10.59 | (1031) ~ (all_0_59_59 = e3) % 35.17/10.59 | (1937) all_0_60_60 = e3 % 35.17/10.59 | % 35.17/10.59 | Equations (1937) can reduce 174 to: % 35.17/10.59 | (526) ~ (all_0_56_56 = e3) % 35.17/10.59 | % 35.17/10.59 | Equations (1937) can reduce 164 to: % 35.17/10.59 | (1031) ~ (all_0_59_59 = e3) % 35.17/10.59 | % 35.17/10.59 | Equations (1937) can reduce 501 to: % 35.17/10.59 | (136) ~ (e3 = e1) % 35.17/10.59 | % 35.17/10.59 +-Applying beta-rule and splitting (100), into two cases. % 35.17/10.59 |-Branch one: % 35.17/10.59 | (618) all_0_43_43 = e1 % 35.17/10.59 | % 35.17/10.59 | Equations (618) can reduce 249 to: % 35.17/10.59 | (3274) ~ (all_0_59_59 = e1) % 35.17/10.59 | % 35.17/10.59 | Simplifying 3274 yields: % 35.17/10.59 | (603) ~ (all_0_59_59 = e1) % 35.17/10.59 | % 35.17/10.59 | From (618) and (19) follows: % 35.17/10.59 | (636) op(e4, e1) = e1 % 35.17/10.59 | % 35.17/10.59 +-Applying beta-rule and splitting (139), into two cases. % 35.17/10.59 |-Branch one: % 35.17/10.59 | (614) all_0_43_43 = e4 % 35.17/10.59 | % 35.17/10.59 | Combining equations (618,614) yields a new equation: % 35.17/10.59 | (541) e4 = e1 % 35.17/10.59 | % 35.17/10.59 | Equations (541) can reduce 247 to: % 35.17/10.59 | (303) $false % 35.17/10.59 | % 35.17/10.59 |-The branch is then unsatisfiable % 35.17/10.59 |-Branch two: % 35.17/10.59 | (712) ~ (all_0_43_43 = e4) % 35.17/10.59 | (713) all_0_50_50 = e4 | all_0_59_59 = e4 % 35.26/10.59 | % 35.26/10.59 +-Applying beta-rule and splitting (227), into two cases. % 35.26/10.59 |-Branch one: % 35.26/10.59 | (909) all_0_59_59 = e2 % 35.26/10.59 | % 35.26/10.59 | Equations (909) can reduce 260 to: % 35.26/10.59 | (303) $false % 35.26/10.59 | % 35.26/10.59 |-The branch is then unsatisfiable % 35.26/10.59 |-Branch two: % 35.26/10.59 | (260) ~ (all_0_59_59 = e2) % 35.26/10.59 | (1037) all_0_59_59 = e4 | all_0_59_59 = e3 | all_0_59_59 = e1 % 35.26/10.59 | % 35.26/10.59 +-Applying beta-rule and splitting (245), into two cases. % 35.26/10.59 |-Branch one: % 35.26/10.59 | (583) all_0_56_56 = e1 % 35.26/10.59 | % 35.26/10.59 | Equations (583) can reduce 594 to: % 35.26/10.59 | (565) ~ (e2 = e1) % 35.26/10.59 | % 35.26/10.59 | Simplifying 565 yields: % 35.26/10.59 | (144) ~ (e2 = e1) % 35.26/10.59 | % 35.26/10.59 | Equations (583) can reduce 296 to: % 35.26/10.59 | (134) ~ (e1 = e0) % 35.26/10.59 | % 35.26/10.59 +-Applying beta-rule and splitting (1037), into two cases. % 35.26/10.59 |-Branch one: % 35.26/10.59 | (717) all_0_59_59 = e4 % 35.26/10.59 | % 35.26/10.59 | From (717) and (90) follows: % 35.26/10.59 | (3322) op(e0, e1) = e4 % 35.26/10.59 | % 35.26/10.59 +-Applying beta-rule and splitting (62), into two cases. % 35.26/10.59 |-Branch one: % 35.26/10.59 | (631) unit = e2 % 35.26/10.59 | % 35.26/10.59 | From (631) and (232) follows: % 35.26/10.59 | (2714) op(e2, e3) = e3 % 35.26/10.59 | % 35.26/10.59 | From (631) and (74) follows: % 35.26/10.59 | (2715) op(e2, e2) = e2 % 35.26/10.59 | % 35.26/10.59 | From (631) and (111) follows: % 35.26/10.59 | (1167) op(e0, e2) = e0 % 35.26/10.59 | % 35.26/10.59 | Instantiating formula (29) with e2, e3, e3, e1 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e1, yields: % 35.26/10.59 | (601) e3 = e1 % 35.26/10.59 | % 35.26/10.59 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 35.26/10.59 | (453) e3 = e2 % 35.26/10.59 | % 35.26/10.59 | Instantiating formula (29) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 35.26/10.59 | (385) e2 = e0 % 35.26/10.59 | % 35.26/10.59 | Combining equations (453,601) yields a new equation: % 35.26/10.59 | (584) e2 = e1 % 35.26/10.59 | % 35.26/10.59 | Simplifying 584 yields: % 35.26/10.59 | (585) e2 = e1 % 35.26/10.59 | % 35.26/10.59 | Combining equations (585,385) yields a new equation: % 35.26/10.59 | (670) e1 = e0 % 35.26/10.59 | % 35.26/10.59 | Simplifying 670 yields: % 35.26/10.59 | (590) e1 = e0 % 35.26/10.59 | % 35.26/10.59 | Equations (590) can reduce 134 to: % 35.26/10.59 | (303) $false % 35.26/10.59 | % 35.26/10.59 |-The branch is then unsatisfiable % 35.26/10.59 |-Branch two: % 35.26/10.59 | (599) ~ (unit = e2) % 35.26/10.59 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 35.26/10.59 | % 35.26/10.59 +-Applying beta-rule and splitting (634), into two cases. % 35.26/10.59 |-Branch one: % 35.26/10.59 | (635) unit = e4 % 35.26/10.59 | % 35.26/10.59 | From (635) and (98) follows: % 35.26/10.59 | (2729) op(e3, e4) = e3 % 35.26/10.59 | % 35.26/10.59 | From (635) and (74) follows: % 35.26/10.59 | (637) op(e2, e4) = e2 % 35.26/10.59 | % 35.26/10.59 | From (635) and (190) follows: % 35.26/10.60 | (1178) op(e1, e4) = e1 % 35.26/10.60 | % 35.26/10.60 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 35.26/10.60 | (453) e3 = e2 % 35.26/10.60 | % 35.26/10.60 | Instantiating formula (29) with e2, e4, e2, e0 and discharging atoms op(e2, e4) = e2, op(e2, e4) = e0, yields: % 35.26/10.60 | (385) e2 = e0 % 35.26/10.60 | % 35.26/10.60 | Instantiating formula (29) with e1, e4, e1, e3 and discharging atoms op(e1, e4) = e3, op(e1, e4) = e1, yields: % 35.26/10.60 | (601) e3 = e1 % 35.26/10.60 | % 35.26/10.60 | Combining equations (601,453) yields a new equation: % 35.26/10.60 | (585) e2 = e1 % 35.26/10.60 | % 35.26/10.60 | Combining equations (585,385) yields a new equation: % 35.26/10.60 | (670) e1 = e0 % 35.26/10.60 | % 35.26/10.60 | Simplifying 670 yields: % 35.26/10.60 | (590) e1 = e0 % 35.26/10.60 | % 35.26/10.60 | Equations (590) can reduce 134 to: % 35.26/10.60 | (303) $false % 35.26/10.60 | % 35.26/10.60 |-The branch is then unsatisfiable % 35.26/10.60 |-Branch two: % 35.26/10.60 | (484) ~ (unit = e4) % 35.26/10.60 | (647) unit = e3 | unit = e1 | unit = e0 % 35.26/10.60 | % 35.26/10.60 +-Applying beta-rule and splitting (647), into two cases. % 35.26/10.60 |-Branch one: % 35.26/10.60 | (648) unit = e1 % 35.26/10.60 | % 35.26/10.60 | Equations (648) can reduce 537 to: % 35.26/10.60 | (134) ~ (e1 = e0) % 35.26/10.60 | % 35.26/10.60 | From (648) and (130) follows: % 35.26/10.60 | (617) op(e4, e1) = e4 % 35.26/10.60 | % 35.26/10.60 | From (648) and (111) follows: % 35.26/10.60 | (770) op(e0, e1) = e0 % 35.26/10.60 | % 35.26/10.60 | Instantiating formula (29) with e4, e1, e4, e1 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e1, yields: % 35.26/10.60 | (541) e4 = e1 % 35.26/10.60 | % 35.26/10.60 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 35.26/10.60 | (654) e4 = e0 % 35.26/10.60 | % 35.26/10.60 | Combining equations (541,654) yields a new equation: % 35.26/10.60 | (670) e1 = e0 % 35.26/10.60 | % 35.26/10.60 | Simplifying 670 yields: % 35.26/10.60 | (590) e1 = e0 % 35.26/10.60 | % 35.26/10.60 | Equations (590) can reduce 134 to: % 35.26/10.60 | (303) $false % 35.26/10.60 | % 35.26/10.60 |-The branch is then unsatisfiable % 35.26/10.60 |-Branch two: % 35.26/10.60 | (510) ~ (unit = e1) % 35.26/10.60 | (659) unit = e3 | unit = e0 % 35.26/10.60 | % 35.26/10.60 +-Applying beta-rule and splitting (659), into two cases. % 35.26/10.60 |-Branch one: % 35.26/10.60 | (660) unit = e0 % 35.26/10.60 | % 35.26/10.60 | Equations (660) can reduce 537 to: % 35.26/10.60 | (303) $false % 35.26/10.60 | % 35.26/10.60 |-The branch is then unsatisfiable % 35.26/10.60 |-Branch two: % 35.26/10.60 | (537) ~ (unit = e0) % 35.26/10.60 | (674) unit = e3 % 35.26/10.60 | % 35.26/10.60 | From (674) and (17) follows: % 35.27/10.60 | (1207) op(e3, e4) = e4 % 35.27/10.60 | % 35.27/10.60 | From (674) and (38) follows: % 35.27/10.60 | (675) op(e3, e1) = e1 % 35.27/10.60 | % 35.27/10.60 | From (674) and (98) follows: % 35.27/10.60 | (1208) op(e3, e3) = e3 % 35.27/10.60 | % 35.27/10.60 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 35.27/10.60 | (470) e4 = e2 % 35.27/10.60 | % 35.27/10.60 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 35.27/10.60 | (443) e4 = e3 % 35.27/10.60 | % 35.27/10.60 | Instantiating formula (29) with e3, e1, e1, e3 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields: % 35.27/10.60 | (601) e3 = e1 % 35.27/10.60 | % 35.27/10.60 | Combining equations (443,470) yields a new equation: % 35.27/10.60 | (452) e3 = e2 % 35.27/10.60 | % 35.27/10.60 | Simplifying 452 yields: % 35.27/10.60 | (453) e3 = e2 % 35.27/10.60 | % 35.27/10.60 | Combining equations (453,601) yields a new equation: % 35.27/10.60 | (584) e2 = e1 % 35.27/10.60 | % 35.27/10.60 | Simplifying 584 yields: % 35.27/10.60 | (585) e2 = e1 % 35.27/10.60 | % 35.27/10.60 | Equations (585) can reduce 144 to: % 35.27/10.60 | (303) $false % 35.27/10.60 | % 35.27/10.60 |-The branch is then unsatisfiable % 35.27/10.60 |-Branch two: % 35.27/10.60 | (348) ~ (all_0_59_59 = e4) % 35.27/10.60 | (1047) all_0_59_59 = e3 | all_0_59_59 = e1 % 35.27/10.60 | % 35.27/10.60 +-Applying beta-rule and splitting (713), into two cases. % 35.27/10.60 |-Branch one: % 35.27/10.60 | (714) all_0_50_50 = e4 % 35.27/10.60 | % 35.27/10.60 | Combining equations (364,714) yields a new equation: % 35.27/10.60 | (470) e4 = e2 % 35.27/10.60 | % 35.27/10.60 | Equations (470) can reduce 231 to: % 35.27/10.60 | (303) $false % 35.27/10.60 | % 35.27/10.60 |-The branch is then unsatisfiable % 35.27/10.60 |-Branch two: % 35.27/10.60 | (611) ~ (all_0_50_50 = e4) % 35.27/10.60 | (717) all_0_59_59 = e4 % 35.27/10.60 | % 35.27/10.60 | Equations (717) can reduce 348 to: % 35.27/10.60 | (303) $false % 35.27/10.60 | % 35.27/10.60 |-The branch is then unsatisfiable % 35.27/10.60 |-Branch two: % 35.27/10.60 | (587) ~ (all_0_56_56 = e1) % 35.27/10.60 | (588) all_0_57_57 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 35.27/10.60 | % 35.27/10.60 +-Applying beta-rule and splitting (233), into two cases. % 35.27/10.60 |-Branch one: % 35.27/10.60 | (917) all_0_40_40 = e2 % 35.27/10.60 | % 35.27/10.60 | Equations (917) can reduce 939 to: % 35.27/10.60 | (303) $false % 35.27/10.60 | % 35.27/10.60 |-The branch is then unsatisfiable % 35.27/10.60 |-Branch two: % 35.27/10.60 | (939) ~ (all_0_40_40 = e2) % 35.27/10.60 | (2671) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 35.27/10.60 | % 35.27/10.60 +-Applying beta-rule and splitting (21), into two cases. % 35.27/10.60 |-Branch one: % 35.27/10.60 | (723) all_0_40_40 = e4 % 35.27/10.60 | % 35.27/10.60 | Equations (723) can reduce 57 to: % 35.27/10.60 | (2280) ~ (all_0_56_56 = e4) % 35.27/10.60 | % 35.27/10.60 | Simplifying 2280 yields: % 35.27/10.60 | (345) ~ (all_0_56_56 = e4) % 35.27/10.60 | % 35.27/10.60 | Equations (723) can reduce 432 to: % 35.27/10.60 | (30) ~ (e4 = e3) % 35.27/10.60 | % 35.27/10.60 | Equations (723) can reduce 939 to: % 35.27/10.60 | (231) ~ (e4 = e2) % 35.27/10.60 | % 35.27/10.60 +-Applying beta-rule and splitting (243), into two cases. % 35.27/10.60 |-Branch one: % 35.27/10.60 | (877) all_0_56_56 = e4 % 35.27/10.60 | % 35.27/10.60 | Equations (877) can reduce 345 to: % 35.27/10.60 | (303) $false % 35.27/10.60 | % 35.27/10.60 |-The branch is then unsatisfiable % 35.27/10.60 |-Branch two: % 35.27/10.60 | (345) ~ (all_0_56_56 = e4) % 35.27/10.60 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 35.27/10.60 | % 35.27/10.60 +-Applying beta-rule and splitting (141), into two cases. % 35.27/10.60 |-Branch one: % 35.27/10.60 | (580) all_0_56_56 = e2 % 35.27/10.60 | % 35.27/10.60 | Equations (580) can reduce 594 to: % 35.27/10.60 | (303) $false % 35.27/10.60 | % 35.27/10.60 |-The branch is then unsatisfiable % 35.27/10.60 |-Branch two: % 35.27/10.60 | (594) ~ (all_0_56_56 = e2) % 35.27/10.60 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 35.27/10.60 | % 35.27/10.60 +-Applying beta-rule and splitting (4489), into two cases. % 35.27/10.60 |-Branch one: % 35.27/10.60 | (344) all_0_58_58 = e4 % 35.27/10.60 | % 35.27/10.60 | Combining equations (344,340) yields a new equation: % 35.27/10.60 | (878) e4 = e2 % 35.27/10.60 | % 35.27/10.60 | Simplifying 878 yields: % 35.27/10.60 | (470) e4 = e2 % 35.27/10.60 | % 35.27/10.60 | Equations (470) can reduce 231 to: % 35.27/10.60 | (303) $false % 35.27/10.60 | % 35.27/10.60 |-The branch is then unsatisfiable % 35.27/10.60 |-Branch two: % 35.27/10.60 | (3161) ~ (all_0_58_58 = e4) % 35.27/10.60 | (4996) all_0_59_59 = e4 | all_0_60_60 = e4 % 35.27/10.60 | % 35.27/10.60 +-Applying beta-rule and splitting (4996), into two cases. % 35.27/10.60 |-Branch one: % 35.27/10.60 | (717) all_0_59_59 = e4 % 35.27/10.60 | % 35.27/10.60 | Equations (717) can reduce 42 to: % 35.27/10.60 | (345) ~ (all_0_56_56 = e4) % 35.27/10.60 | % 35.27/10.60 +-Applying beta-rule and splitting (979), into two cases. % 35.27/10.60 |-Branch one: % 35.27/10.60 | (877) all_0_56_56 = e4 % 35.27/10.60 | % 35.27/10.60 | Equations (877) can reduce 345 to: % 35.27/10.60 | (303) $false % 35.27/10.60 | % 35.27/10.60 |-The branch is then unsatisfiable % 35.27/10.60 |-Branch two: % 35.27/10.60 | (345) ~ (all_0_56_56 = e4) % 35.27/10.60 | (2325) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 35.27/10.60 | % 35.27/10.60 +-Applying beta-rule and splitting (2325), into two cases. % 35.27/10.60 |-Branch one: % 35.27/10.60 | (583) all_0_56_56 = e1 % 35.27/10.60 | % 35.27/10.60 | Equations (583) can reduce 587 to: % 35.27/10.60 | (303) $false % 35.27/10.60 | % 35.27/10.60 |-The branch is then unsatisfiable % 35.27/10.60 |-Branch two: % 35.27/10.60 | (587) ~ (all_0_56_56 = e1) % 35.27/10.60 | (2329) all_0_56_56 = e3 | all_0_56_56 = e0 % 35.27/10.60 | % 35.27/10.60 +-Applying beta-rule and splitting (2329), into two cases. % 35.27/10.60 |-Branch one: % 35.27/10.60 | (2307) all_0_56_56 = e0 % 35.27/10.60 | % 35.27/10.60 | Equations (2307) can reduce 296 to: % 35.27/10.60 | (303) $false % 35.27/10.60 | % 35.27/10.60 |-The branch is then unsatisfiable % 35.27/10.60 |-Branch two: % 35.27/10.60 | (296) ~ (all_0_56_56 = e0) % 35.27/10.60 | (1111) all_0_56_56 = e3 % 35.27/10.60 | % 35.27/10.60 | Equations (1111) can reduce 526 to: % 35.27/10.60 | (303) $false % 35.27/10.60 | % 35.27/10.60 |-The branch is then unsatisfiable % 35.27/10.60 |-Branch two: % 35.27/10.60 | (348) ~ (all_0_59_59 = e4) % 35.27/10.60 | (1510) all_0_60_60 = e4 % 35.27/10.60 | % 35.27/10.60 | Combining equations (1937,1510) yields a new equation: % 35.27/10.60 | (443) e4 = e3 % 35.27/10.60 | % 35.27/10.60 | Equations (443) can reduce 30 to: % 35.27/10.60 | (303) $false % 35.27/10.60 | % 35.27/10.60 |-The branch is then unsatisfiable % 35.27/10.60 |-Branch two: % 35.27/10.60 | (844) ~ (all_0_40_40 = e4) % 35.27/10.60 | (6577) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 35.27/10.60 | % 35.27/10.60 +-Applying beta-rule and splitting (1037), into two cases. % 35.27/10.60 |-Branch one: % 35.27/10.60 | (717) all_0_59_59 = e4 % 35.27/10.60 | % 35.27/10.60 | Equations (717) can reduce 260 to: % 35.27/10.60 | (231) ~ (e4 = e2) % 35.27/10.60 | % 35.27/10.60 | Equations (717) can reduce 603 to: % 35.27/10.60 | (247) ~ (e4 = e1) % 35.27/10.60 | % 35.27/10.60 | Equations (717) can reduce 216 to: % 35.27/10.60 | (4) ~ (e4 = e0) % 35.27/10.60 | % 35.27/10.60 +-Applying beta-rule and splitting (6577), into two cases. % 35.27/10.60 |-Branch one: % 35.27/10.60 | (3175) all_0_42_42 = e4 % 35.27/10.60 | % 35.27/10.60 | Combining equations (3175,324) yields a new equation: % 35.27/10.60 | (1573) e4 = e0 % 35.27/10.60 | % 35.27/10.60 | Simplifying 1573 yields: % 35.27/10.60 | (654) e4 = e0 % 35.27/10.60 | % 35.27/10.60 | Equations (654) can reduce 4 to: % 35.27/10.60 | (303) $false % 35.27/10.60 | % 35.27/10.60 |-The branch is then unsatisfiable % 35.27/10.60 |-Branch two: % 35.27/10.60 | (6245) ~ (all_0_42_42 = e4) % 35.27/10.60 | (6600) all_0_43_43 = e4 | all_0_44_44 = e4 % 35.27/10.60 | % 35.27/10.60 +-Applying beta-rule and splitting (6600), into two cases. % 35.27/10.60 |-Branch one: % 35.27/10.60 | (614) all_0_43_43 = e4 % 35.27/10.60 | % 35.27/10.60 | Combining equations (614,618) yields a new equation: % 35.27/10.60 | (540) e4 = e1 % 35.27/10.60 | % 35.27/10.60 | Simplifying 540 yields: % 35.27/10.60 | (541) e4 = e1 % 35.27/10.60 | % 35.27/10.60 | Equations (541) can reduce 247 to: % 35.27/10.60 | (303) $false % 35.27/10.60 | % 35.27/10.60 |-The branch is then unsatisfiable % 35.27/10.60 |-Branch two: % 35.27/10.60 | (712) ~ (all_0_43_43 = e4) % 35.27/10.60 | (1096) all_0_44_44 = e4 % 35.27/10.60 | % 35.27/10.60 | Combining equations (1096,572) yields a new equation: % 35.27/10.60 | (878) e4 = e2 % 35.27/10.60 | % 35.27/10.60 | Simplifying 878 yields: % 35.27/10.60 | (470) e4 = e2 % 35.27/10.60 | % 35.27/10.60 | Equations (470) can reduce 231 to: % 35.27/10.60 | (303) $false % 35.27/10.60 | % 35.27/10.60 |-The branch is then unsatisfiable % 35.27/10.60 |-Branch two: % 35.27/10.60 | (348) ~ (all_0_59_59 = e4) % 35.27/10.60 | (1047) all_0_59_59 = e3 | all_0_59_59 = e1 % 35.27/10.60 | % 35.27/10.60 +-Applying beta-rule and splitting (1047), into two cases. % 35.27/10.60 |-Branch one: % 35.27/10.60 | (600) all_0_59_59 = e1 % 35.27/10.60 | % 35.27/10.60 | Equations (600) can reduce 603 to: % 35.27/10.60 | (303) $false % 35.27/10.60 | % 35.27/10.60 |-The branch is then unsatisfiable % 35.27/10.60 |-Branch two: % 35.27/10.60 | (603) ~ (all_0_59_59 = e1) % 35.27/10.60 | (456) all_0_59_59 = e3 % 35.27/10.60 | % 35.27/10.60 | Equations (456) can reduce 1031 to: % 35.27/10.60 | (303) $false % 35.27/10.60 | % 35.27/10.60 |-The branch is then unsatisfiable % 35.27/10.60 |-Branch two: % 35.27/10.60 | (622) ~ (all_0_43_43 = e1) % 35.27/10.60 | (623) all_0_50_50 = e1 | all_0_59_59 = e1 % 35.27/10.60 | % 35.27/10.60 +-Applying beta-rule and splitting (191), into two cases. % 35.27/10.60 |-Branch one: % 35.27/10.60 | (965) all_0_43_43 = e2 % 35.27/10.60 | % 35.27/10.60 | Equations (965) can reduce 253 to: % 35.27/10.60 | (303) $false % 35.27/10.60 | % 35.27/10.60 |-The branch is then unsatisfiable % 35.27/10.60 |-Branch two: % 35.27/10.60 | (253) ~ (all_0_43_43 = e2) % 35.27/10.60 | (1634) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e1 % 35.27/10.60 | % 35.27/10.60 +-Applying beta-rule and splitting (1634), into two cases. % 35.27/10.60 |-Branch one: % 35.27/10.60 | (614) all_0_43_43 = e4 % 35.27/10.60 | % 35.27/10.60 | Equations (614) can reduce 8 to: % 35.27/10.60 | (844) ~ (all_0_40_40 = e4) % 35.27/10.60 | % 35.27/10.60 | Equations (614) can reduce 434 to: % 35.27/10.60 | (30) ~ (e4 = e3) % 35.27/10.60 | % 35.27/10.60 | Equations (614) can reduce 117 to: % 35.27/10.60 | (4) ~ (e4 = e0) % 35.27/10.60 | % 35.27/10.60 +-Applying beta-rule and splitting (227), into two cases. % 35.27/10.60 |-Branch one: % 35.27/10.60 | (909) all_0_59_59 = e2 % 35.27/10.60 | % 35.27/10.60 | Equations (909) can reduce 260 to: % 35.27/10.60 | (303) $false % 35.27/10.60 | % 35.27/10.60 |-The branch is then unsatisfiable % 35.27/10.60 |-Branch two: % 35.27/10.60 | (260) ~ (all_0_59_59 = e2) % 35.27/10.60 | (1037) all_0_59_59 = e4 | all_0_59_59 = e3 | all_0_59_59 = e1 % 35.27/10.60 | % 35.27/10.60 +-Applying beta-rule and splitting (243), into two cases. % 35.27/10.60 |-Branch one: % 35.27/10.60 | (877) all_0_56_56 = e4 % 35.27/10.60 | % 35.27/10.60 | Equations (877) can reduce 42 to: % 35.27/10.60 | (347) ~ (all_0_59_59 = e4) % 35.27/10.60 | % 35.27/10.60 | Simplifying 347 yields: % 35.27/10.60 | (348) ~ (all_0_59_59 = e4) % 35.27/10.60 | % 35.27/10.60 +-Applying beta-rule and splitting (44), into two cases. % 35.27/10.60 |-Branch one: % 35.27/10.60 | (624) all_0_40_40 = e1 % 35.27/10.60 | % 35.27/10.60 | Equations (624) can reduce 939 to: % 35.27/10.60 | (565) ~ (e2 = e1) % 35.27/10.60 | % 35.27/10.60 | Simplifying 565 yields: % 35.27/10.60 | (144) ~ (e2 = e1) % 35.27/10.60 | % 35.27/10.60 +-Applying beta-rule and splitting (623), into two cases. % 35.27/10.60 |-Branch one: % 35.27/10.60 | (627) all_0_50_50 = e1 % 35.27/10.60 | % 35.27/10.60 | Combining equations (364,627) yields a new equation: % 35.27/10.60 | (584) e2 = e1 % 35.27/10.60 | % 35.27/10.60 | Simplifying 584 yields: % 35.27/10.60 | (585) e2 = e1 % 35.27/10.60 | % 35.27/10.60 | Equations (585) can reduce 144 to: % 35.27/10.60 | (303) $false % 35.27/10.60 | % 35.27/10.60 |-The branch is then unsatisfiable % 35.27/10.60 |-Branch two: % 35.27/10.60 | (678) ~ (all_0_50_50 = e1) % 35.27/10.60 | (600) all_0_59_59 = e1 % 35.27/10.60 | % 35.27/10.60 | Equations (600) can reduce 260 to: % 35.27/10.60 | (565) ~ (e2 = e1) % 35.27/10.60 | % 35.27/10.60 | Simplifying 565 yields: % 35.27/10.60 | (144) ~ (e2 = e1) % 35.27/10.60 | % 35.27/10.60 | Equations (600) can reduce 216 to: % 35.27/10.60 | (134) ~ (e1 = e0) % 35.27/10.60 | % 35.27/10.60 | From (600) and (90) follows: % 35.27/10.60 | (2749) op(e0, e1) = e1 % 35.27/10.60 | % 35.27/10.60 +-Applying beta-rule and splitting (62), into two cases. % 35.27/10.60 |-Branch one: % 35.27/10.60 | (631) unit = e2 % 35.27/10.60 | % 35.27/10.60 | From (631) and (232) follows: % 35.27/10.60 | (2714) op(e2, e3) = e3 % 35.27/10.60 | % 35.27/10.60 | From (631) and (74) follows: % 35.27/10.60 | (2715) op(e2, e2) = e2 % 35.27/10.60 | % 35.27/10.60 | From (631) and (111) follows: % 35.27/10.60 | (1167) op(e0, e2) = e0 % 35.27/10.60 | % 35.27/10.60 | Instantiating formula (29) with e2, e3, e3, e1 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e1, yields: % 35.27/10.60 | (601) e3 = e1 % 35.27/10.60 | % 35.27/10.60 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 35.27/10.60 | (453) e3 = e2 % 35.27/10.60 | % 35.27/10.60 | Instantiating formula (29) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 35.27/10.60 | (385) e2 = e0 % 35.27/10.60 | % 35.27/10.60 | Combining equations (453,601) yields a new equation: % 35.27/10.60 | (584) e2 = e1 % 35.27/10.60 | % 35.27/10.60 | Simplifying 584 yields: % 35.27/10.60 | (585) e2 = e1 % 35.27/10.60 | % 35.27/10.60 | Combining equations (585,385) yields a new equation: % 35.27/10.60 | (670) e1 = e0 % 35.27/10.60 | % 35.27/10.60 | Simplifying 670 yields: % 35.27/10.60 | (590) e1 = e0 % 35.27/10.60 | % 35.27/10.60 | Equations (590) can reduce 134 to: % 35.27/10.60 | (303) $false % 35.27/10.60 | % 35.27/10.60 |-The branch is then unsatisfiable % 35.27/10.60 |-Branch two: % 35.27/10.60 | (599) ~ (unit = e2) % 35.27/10.60 | (634) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 35.27/10.60 | % 35.27/10.60 +-Applying beta-rule and splitting (634), into two cases. % 35.27/10.60 |-Branch one: % 35.27/10.60 | (635) unit = e4 % 35.27/10.60 | % 35.27/10.60 | From (635) and (98) follows: % 35.27/10.60 | (2729) op(e3, e4) = e3 % 35.27/10.60 | % 35.27/10.60 | From (635) and (74) follows: % 35.27/10.60 | (637) op(e2, e4) = e2 % 35.27/10.60 | % 35.27/10.60 | From (635) and (190) follows: % 35.27/10.60 | (1178) op(e1, e4) = e1 % 35.27/10.60 | % 35.27/10.60 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 35.27/10.61 | (453) e3 = e2 % 35.27/10.61 | % 35.27/10.61 | Instantiating formula (29) with e2, e4, e2, e0 and discharging atoms op(e2, e4) = e2, op(e2, e4) = e0, yields: % 35.27/10.61 | (385) e2 = e0 % 35.27/10.61 | % 35.27/10.61 | Instantiating formula (29) with e1, e4, e1, e3 and discharging atoms op(e1, e4) = e3, op(e1, e4) = e1, yields: % 35.27/10.61 | (601) e3 = e1 % 35.27/10.61 | % 35.27/10.61 | Combining equations (453,601) yields a new equation: % 35.27/10.61 | (584) e2 = e1 % 35.27/10.61 | % 35.27/10.61 | Simplifying 584 yields: % 35.27/10.61 | (585) e2 = e1 % 35.27/10.61 | % 35.27/10.61 | Combining equations (585,385) yields a new equation: % 35.27/10.61 | (670) e1 = e0 % 35.27/10.61 | % 35.27/10.61 | Simplifying 670 yields: % 35.27/10.61 | (590) e1 = e0 % 35.27/10.61 | % 35.27/10.61 | Equations (590) can reduce 134 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (484) ~ (unit = e4) % 35.27/10.61 | (647) unit = e3 | unit = e1 | unit = e0 % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (647), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (648) unit = e1 % 35.27/10.61 | % 35.27/10.61 | Equations (648) can reduce 537 to: % 35.27/10.61 | (134) ~ (e1 = e0) % 35.27/10.61 | % 35.27/10.61 | From (648) and (111) follows: % 35.27/10.61 | (770) op(e0, e1) = e0 % 35.27/10.61 | % 35.27/10.61 | Instantiating formula (29) with e0, e1, e0, e1 and discharging atoms op(e0, e1) = e1, op(e0, e1) = e0, yields: % 35.27/10.61 | (590) e1 = e0 % 35.27/10.61 | % 35.27/10.61 | Equations (590) can reduce 134 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (510) ~ (unit = e1) % 35.27/10.61 | (659) unit = e3 | unit = e0 % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (659), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (660) unit = e0 % 35.27/10.61 | % 35.27/10.61 | Equations (660) can reduce 537 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (537) ~ (unit = e0) % 35.27/10.61 | (674) unit = e3 % 35.27/10.61 | % 35.27/10.61 | From (674) and (17) follows: % 35.27/10.61 | (1207) op(e3, e4) = e4 % 35.27/10.61 | % 35.27/10.61 | From (674) and (38) follows: % 35.27/10.61 | (675) op(e3, e1) = e1 % 35.27/10.61 | % 35.27/10.61 | From (674) and (98) follows: % 35.27/10.61 | (1208) op(e3, e3) = e3 % 35.27/10.61 | % 35.27/10.61 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 35.27/10.61 | (470) e4 = e2 % 35.27/10.61 | % 35.27/10.61 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 35.27/10.61 | (443) e4 = e3 % 35.27/10.61 | % 35.27/10.61 | Instantiating formula (29) with e3, e1, e1, e3 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields: % 35.27/10.61 | (601) e3 = e1 % 35.27/10.61 | % 35.27/10.61 | Combining equations (443,470) yields a new equation: % 35.27/10.61 | (452) e3 = e2 % 35.27/10.61 | % 35.27/10.61 | Simplifying 452 yields: % 35.27/10.61 | (453) e3 = e2 % 35.27/10.61 | % 35.27/10.61 | Combining equations (453,601) yields a new equation: % 35.27/10.61 | (584) e2 = e1 % 35.27/10.61 | % 35.27/10.61 | Simplifying 584 yields: % 35.27/10.61 | (585) e2 = e1 % 35.27/10.61 | % 35.27/10.61 | Equations (585) can reduce 144 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (683) ~ (all_0_40_40 = e1) % 35.27/10.61 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (175), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (624) all_0_40_40 = e1 % 35.27/10.61 | % 35.27/10.61 | Equations (624) can reduce 683 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (683) ~ (all_0_40_40 = e1) % 35.27/10.61 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (623), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (627) all_0_50_50 = e1 % 35.27/10.61 | % 35.27/10.61 | Combining equations (364,627) yields a new equation: % 35.27/10.61 | (584) e2 = e1 % 35.27/10.61 | % 35.27/10.61 | Simplifying 584 yields: % 35.27/10.61 | (585) e2 = e1 % 35.27/10.61 | % 35.27/10.61 | Equations (585) can reduce 144 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (678) ~ (all_0_50_50 = e1) % 35.27/10.61 | (600) all_0_59_59 = e1 % 35.27/10.61 | % 35.27/10.61 | Equations (600) can reduce 348 to: % 35.27/10.61 | (605) ~ (e4 = e1) % 35.27/10.61 | % 35.27/10.61 | Simplifying 605 yields: % 35.27/10.61 | (247) ~ (e4 = e1) % 35.27/10.61 | % 35.27/10.61 | Equations (600) can reduce 1031 to: % 35.27/10.61 | (465) ~ (e3 = e1) % 35.27/10.61 | % 35.27/10.61 | Simplifying 465 yields: % 35.27/10.61 | (136) ~ (e3 = e1) % 35.27/10.61 | % 35.27/10.61 | Equations (600) can reduce 216 to: % 35.27/10.61 | (134) ~ (e1 = e0) % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (688), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (696) all_0_41_41 = e1 % 35.27/10.61 | % 35.27/10.61 | Combining equations (696,431) yields a new equation: % 35.27/10.61 | (601) e3 = e1 % 35.27/10.61 | % 35.27/10.61 | Equations (601) can reduce 136 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (699) ~ (all_0_41_41 = e1) % 35.27/10.61 | (700) all_0_43_43 = e1 | all_0_44_44 = e1 % 35.27/10.61 | % 35.27/10.61 | Equations (431) can reduce 699 to: % 35.27/10.61 | (136) ~ (e3 = e1) % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (684), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (748) all_0_48_48 = e1 % 35.27/10.61 | % 35.27/10.61 | Combining equations (748,380) yields a new equation: % 35.27/10.61 | (670) e1 = e0 % 35.27/10.61 | % 35.27/10.61 | Simplifying 670 yields: % 35.27/10.61 | (590) e1 = e0 % 35.27/10.61 | % 35.27/10.61 | Equations (590) can reduce 134 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (802) ~ (all_0_48_48 = e1) % 35.27/10.61 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (807), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (1070) all_0_52_52 = e1 % 35.27/10.61 | % 35.27/10.61 | Combining equations (425,1070) yields a new equation: % 35.27/10.61 | (680) e3 = e1 % 35.27/10.61 | % 35.27/10.61 | Simplifying 680 yields: % 35.27/10.61 | (601) e3 = e1 % 35.27/10.61 | % 35.27/10.61 | Equations (601) can reduce 136 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (502) ~ (all_0_52_52 = e1) % 35.27/10.61 | (583) all_0_56_56 = e1 % 35.27/10.61 | % 35.27/10.61 | Combining equations (877,583) yields a new equation: % 35.27/10.61 | (540) e4 = e1 % 35.27/10.61 | % 35.27/10.61 | Simplifying 540 yields: % 35.27/10.61 | (541) e4 = e1 % 35.27/10.61 | % 35.27/10.61 | Equations (541) can reduce 247 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (345) ~ (all_0_56_56 = e4) % 35.27/10.61 | (4489) all_0_58_58 = e4 | all_0_59_59 = e4 | all_0_60_60 = e4 % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (44), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (624) all_0_40_40 = e1 % 35.27/10.61 | % 35.27/10.61 | Equations (624) can reduce 844 to: % 35.27/10.61 | (605) ~ (e4 = e1) % 35.27/10.61 | % 35.27/10.61 | Simplifying 605 yields: % 35.27/10.61 | (247) ~ (e4 = e1) % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (196), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (723) all_0_40_40 = e4 % 35.27/10.61 | % 35.27/10.61 | Combining equations (723,624) yields a new equation: % 35.27/10.61 | (540) e4 = e1 % 35.27/10.61 | % 35.27/10.61 | Simplifying 540 yields: % 35.27/10.61 | (541) e4 = e1 % 35.27/10.61 | % 35.27/10.61 | Equations (541) can reduce 247 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (844) ~ (all_0_40_40 = e4) % 35.27/10.61 | (845) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_56_56 = e4 % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (845), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (609) all_0_48_48 = e4 % 35.27/10.61 | % 35.27/10.61 | Combining equations (380,609) yields a new equation: % 35.27/10.61 | (654) e4 = e0 % 35.27/10.61 | % 35.27/10.61 | Equations (654) can reduce 4 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (721) ~ (all_0_48_48 = e4) % 35.27/10.61 | (871) all_0_52_52 = e4 | all_0_56_56 = e4 % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (871), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (442) all_0_52_52 = e4 % 35.27/10.61 | % 35.27/10.61 | Combining equations (425,442) yields a new equation: % 35.27/10.61 | (443) e4 = e3 % 35.27/10.61 | % 35.27/10.61 | Equations (443) can reduce 30 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (445) ~ (all_0_52_52 = e4) % 35.27/10.61 | (877) all_0_56_56 = e4 % 35.27/10.61 | % 35.27/10.61 | Equations (877) can reduce 345 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (683) ~ (all_0_40_40 = e1) % 35.27/10.61 | (688) all_0_41_41 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (141), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (580) all_0_56_56 = e2 % 35.27/10.61 | % 35.27/10.61 | Equations (580) can reduce 594 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (594) ~ (all_0_56_56 = e2) % 35.27/10.61 | (979) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (175), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (624) all_0_40_40 = e1 % 35.27/10.61 | % 35.27/10.61 | Equations (624) can reduce 683 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (683) ~ (all_0_40_40 = e1) % 35.27/10.61 | (684) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_56_56 = e1 % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (684), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (748) all_0_48_48 = e1 % 35.27/10.61 | % 35.27/10.61 | Combining equations (380,748) yields a new equation: % 35.27/10.61 | (590) e1 = e0 % 35.27/10.61 | % 35.27/10.61 | Equations (590) can reduce 134 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (802) ~ (all_0_48_48 = e1) % 35.27/10.61 | (807) all_0_52_52 = e1 | all_0_56_56 = e1 % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (807), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (1070) all_0_52_52 = e1 % 35.27/10.61 | % 35.27/10.61 | Combining equations (425,1070) yields a new equation: % 35.27/10.61 | (680) e3 = e1 % 35.27/10.61 | % 35.27/10.61 | Simplifying 680 yields: % 35.27/10.61 | (601) e3 = e1 % 35.27/10.61 | % 35.27/10.61 | Equations (601) can reduce 136 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (502) ~ (all_0_52_52 = e1) % 35.27/10.61 | (583) all_0_56_56 = e1 % 35.27/10.61 | % 35.27/10.61 | Equations (583) can reduce 42 to: % 35.27/10.61 | (3274) ~ (all_0_59_59 = e1) % 35.27/10.61 | % 35.27/10.61 | Simplifying 3274 yields: % 35.27/10.61 | (603) ~ (all_0_59_59 = e1) % 35.27/10.61 | % 35.27/10.61 | Equations (583) can reduce 594 to: % 35.27/10.61 | (565) ~ (e2 = e1) % 35.27/10.61 | % 35.27/10.61 | Simplifying 565 yields: % 35.27/10.61 | (144) ~ (e2 = e1) % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (623), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (627) all_0_50_50 = e1 % 35.27/10.61 | % 35.27/10.61 | Combining equations (364,627) yields a new equation: % 35.27/10.61 | (584) e2 = e1 % 35.27/10.61 | % 35.27/10.61 | Simplifying 584 yields: % 35.27/10.61 | (585) e2 = e1 % 35.27/10.61 | % 35.27/10.61 | Equations (585) can reduce 144 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (678) ~ (all_0_50_50 = e1) % 35.27/10.61 | (600) all_0_59_59 = e1 % 35.27/10.61 | % 35.27/10.61 | Equations (600) can reduce 603 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (712) ~ (all_0_43_43 = e4) % 35.27/10.61 | (2084) all_0_43_43 = e3 | all_0_43_43 = e1 % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (623), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (627) all_0_50_50 = e1 % 35.27/10.61 | % 35.27/10.61 | Combining equations (364,627) yields a new equation: % 35.27/10.61 | (584) e2 = e1 % 35.27/10.61 | % 35.27/10.61 | Simplifying 584 yields: % 35.27/10.61 | (585) e2 = e1 % 35.27/10.61 | % 35.27/10.61 | Equations (585) can reduce 144 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (678) ~ (all_0_50_50 = e1) % 35.27/10.61 | (600) all_0_59_59 = e1 % 35.27/10.61 | % 35.27/10.61 | Equations (600) can reduce 249 to: % 35.27/10.61 | (622) ~ (all_0_43_43 = e1) % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (2084), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (618) all_0_43_43 = e1 % 35.27/10.61 | % 35.27/10.61 | Equations (618) can reduce 622 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (622) ~ (all_0_43_43 = e1) % 35.27/10.61 | (447) all_0_43_43 = e3 % 35.27/10.61 | % 35.27/10.61 | Equations (447) can reduce 434 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (915) ~ (all_0_44_44 = e2) % 35.27/10.61 | (2069) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (209), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (1111) all_0_56_56 = e3 % 35.27/10.61 | % 35.27/10.61 | Equations (1111) can reduce 526 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (526) ~ (all_0_56_56 = e3) % 35.27/10.61 | (1491) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (1491), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (1001) all_0_57_57 = e3 % 35.27/10.61 | % 35.27/10.61 | Combining equations (407,1001) yields a new equation: % 35.27/10.61 | (497) e3 = e0 % 35.27/10.61 | % 35.27/10.61 | Equations (497) can reduce 70 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (2590) ~ (all_0_57_57 = e3) % 35.27/10.61 | (2977) all_0_59_59 = e3 | all_0_60_60 = e3 % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (2977), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (456) all_0_59_59 = e3 % 35.27/10.61 | % 35.27/10.61 | Equations (456) can reduce 1031 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (1031) ~ (all_0_59_59 = e3) % 35.27/10.61 | (1937) all_0_60_60 = e3 % 35.27/10.61 | % 35.27/10.61 | Equations (1937) can reduce 571 to: % 35.27/10.61 | (223) ~ (e3 = e2) % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (157), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (917) all_0_40_40 = e2 % 35.27/10.61 | % 35.27/10.61 | Equations (917) can reduce 939 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (939) ~ (all_0_40_40 = e2) % 35.27/10.61 | (940) all_0_41_41 = e2 | all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (940), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (945) all_0_41_41 = e2 % 35.27/10.61 | % 35.27/10.61 | Combining equations (945,431) yields a new equation: % 35.27/10.61 | (453) e3 = e2 % 35.27/10.61 | % 35.27/10.61 | Equations (453) can reduce 223 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (369) ~ (all_0_41_41 = e2) % 35.27/10.61 | (949) all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (949), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (959) all_0_42_42 = e2 % 35.27/10.61 | % 35.27/10.61 | Combining equations (959,324) yields a new equation: % 35.27/10.61 | (403) e2 = e0 % 35.27/10.61 | % 35.27/10.61 | Simplifying 403 yields: % 35.27/10.61 | (385) e2 = e0 % 35.27/10.61 | % 35.27/10.61 | Equations (385) can reduce 51 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (272) ~ (all_0_42_42 = e2) % 35.27/10.61 | (964) all_0_43_43 = e2 | all_0_44_44 = e2 % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (964), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (965) all_0_43_43 = e2 % 35.27/10.61 | % 35.27/10.61 | Equations (965) can reduce 253 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (253) ~ (all_0_43_43 = e2) % 35.27/10.61 | (572) all_0_44_44 = e2 % 35.27/10.61 | % 35.27/10.61 | Equations (572) can reduce 915 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (2273) ~ (all_0_57_57 = e0) % 35.27/10.61 | (2314) all_0_58_58 = e0 | all_0_60_60 = e0 % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (2314), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (989) all_0_58_58 = e0 % 35.27/10.61 | % 35.27/10.61 | Combining equations (340,989) yields a new equation: % 35.27/10.61 | (403) e2 = e0 % 35.27/10.61 | % 35.27/10.61 | Simplifying 403 yields: % 35.27/10.61 | (385) e2 = e0 % 35.27/10.61 | % 35.27/10.61 | Equations (385) can reduce 51 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (332) ~ (all_0_58_58 = e0) % 35.27/10.61 | (1934) all_0_60_60 = e0 % 35.27/10.61 | % 35.27/10.61 | Equations (1934) can reduce 414 to: % 35.27/10.61 | (303) $false % 35.27/10.61 | % 35.27/10.61 |-The branch is then unsatisfiable % 35.27/10.61 |-Branch two: % 35.27/10.61 | (278) ~ (all_0_58_58 = e2) % 35.27/10.61 | (343) all_0_58_58 = e4 | all_0_58_58 = e0 % 35.27/10.61 | % 35.27/10.61 +-Applying beta-rule and splitting (87), into two cases. % 35.27/10.61 |-Branch one: % 35.27/10.61 | (572) all_0_44_44 = e2 % 35.27/10.61 | % 35.27/10.61 | Equations (572) can reduce 474 to: % 35.27/10.61 | (261) ~ (e4 = e2) % 35.27/10.61 | % 35.27/10.61 | Simplifying 261 yields: % 35.27/10.61 | (231) ~ (e4 = e2) % 35.27/10.61 | % 35.27/10.62 +-Applying beta-rule and splitting (25387), into two cases. % 35.27/10.62 |-Branch one: % 35.27/10.62 | (271) all_0_54_54 = e2 % 35.27/10.62 | % 35.27/10.62 | Combining equations (469,271) yields a new equation: % 35.27/10.62 | (878) e4 = e2 % 35.27/10.62 | % 35.27/10.62 | Simplifying 878 yields: % 35.27/10.62 | (470) e4 = e2 % 35.27/10.62 | % 35.27/10.62 | Equations (470) can reduce 231 to: % 35.27/10.62 | (303) $false % 35.27/10.62 | % 35.27/10.62 |-The branch is then unsatisfiable % 35.27/10.62 |-Branch two: % 35.27/10.62 | (3453) ~ (all_0_54_54 = e2) % 35.27/10.62 | (340) all_0_58_58 = e2 % 35.27/10.62 | % 35.27/10.62 | Equations (340) can reduce 278 to: % 35.27/10.62 | (303) $false % 35.27/10.62 | % 35.27/10.62 |-The branch is then unsatisfiable % 35.27/10.62 |-Branch two: % 35.27/10.62 | (915) ~ (all_0_44_44 = e2) % 35.27/10.62 | (2069) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 35.27/10.62 | % 35.27/10.62 +-Applying beta-rule and splitting (112), into two cases. % 35.27/10.62 |-Branch one: % 35.27/10.62 | (572) all_0_44_44 = e2 % 35.27/10.62 | % 35.27/10.62 | Equations (572) can reduce 915 to: % 35.27/10.62 | (303) $false % 35.27/10.62 | % 35.27/10.62 |-The branch is then unsatisfiable % 35.27/10.62 |-Branch two: % 35.27/10.62 | (915) ~ (all_0_44_44 = e2) % 35.27/10.62 | (916) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 35.27/10.62 | % 35.27/10.62 +-Applying beta-rule and splitting (536), into two cases. % 35.27/10.62 |-Branch one: % 35.27/10.62 | (3164) ~ (all_0_42_42 = e0) % 35.27/10.62 | % 35.27/10.62 | Equations (324) can reduce 3164 to: % 35.27/10.62 | (303) $false % 35.27/10.62 | % 35.27/10.62 |-The branch is then unsatisfiable % 35.27/10.62 |-Branch two: % 35.27/10.62 | (324) all_0_42_42 = e0 % 35.27/10.62 | (572) all_0_44_44 = e2 % 35.27/10.62 | % 35.27/10.62 | Equations (572) can reduce 915 to: % 35.27/10.62 | (303) $false % 35.27/10.62 | % 35.27/10.62 |-The branch is then unsatisfiable % 35.27/10.62 |-Branch two: % 35.27/10.62 | (258) ~ (all_0_50_50 = e2) % 35.27/10.62 | (367) all_0_50_50 = e4 | all_0_50_50 = e1 % 35.27/10.62 | % 35.27/10.62 +-Applying beta-rule and splitting (367), into two cases. % 35.27/10.62 |-Branch one: % 35.27/10.62 | (714) all_0_50_50 = e4 % 35.27/10.62 | % 35.27/10.62 | Equations (714) can reduce 611 to: % 35.27/10.62 | (303) $false % 35.27/10.62 | % 35.27/10.62 |-The branch is then unsatisfiable % 35.27/10.62 |-Branch two: % 35.27/10.62 | (611) ~ (all_0_50_50 = e4) % 35.27/10.62 | (627) all_0_50_50 = e1 % 35.27/10.62 | % 35.27/10.62 | Equations (627) can reduce 678 to: % 35.27/10.62 | (303) $false % 35.27/10.62 | % 35.27/10.62 |-The branch is then unsatisfiable % 35.27/10.62 |-Branch two: % 35.27/10.62 | (506) ~ (all_0_49_49 = e1) % 35.27/10.62 | (384) all_0_49_49 = e0 % 35.27/10.62 | % 35.27/10.62 | Equations (384) can reduce 387 to: % 35.27/10.62 | (303) $false % 35.27/10.62 | % 35.27/10.62 |-The branch is then unsatisfiable % 35.27/10.62 |-Branch two: % 35.27/10.62 | (292) ~ (all_0_48_48 = e0) % 35.27/10.62 | (383) all_0_49_49 = e0 | all_0_51_51 = e0 % 35.27/10.62 | % 35.27/10.62 +-Applying beta-rule and splitting (383), into two cases. % 35.27/10.62 |-Branch one: % 35.27/10.62 | (384) all_0_49_49 = e0 % 35.27/10.62 | % 35.27/10.62 | Equations (384) can reduce 387 to: % 35.27/10.62 | (303) $false % 35.27/10.62 | % 35.27/10.62 |-The branch is then unsatisfiable % 35.27/10.62 |-Branch two: % 35.27/10.62 | (387) ~ (all_0_49_49 = e0) % 35.27/10.62 | (388) all_0_51_51 = e0 % 35.27/10.62 | % 35.27/10.62 | Equations (388) can reduce 2347 to: % 35.27/10.62 | (303) $false % 35.27/10.62 | % 35.27/10.62 |-The branch is then unsatisfiable % 35.27/10.62 |-Branch two: % 35.27/10.62 | (521) ~ (all_0_52_52 = e3) % 35.27/10.62 | (1006) all_0_53_53 = e3 | all_0_55_55 = e3 % 35.27/10.62 | % 35.27/10.62 +-Applying beta-rule and splitting (1006), into two cases. % 35.27/10.62 |-Branch one: % 35.27/10.62 | (994) all_0_53_53 = e3 % 35.27/10.62 | % 35.27/10.62 | Combining equations (994,360) yields a new equation: % 35.27/10.62 | (452) e3 = e2 % 35.27/10.62 | % 35.27/10.62 | Simplifying 452 yields: % 35.27/10.62 | (453) e3 = e2 % 35.27/10.62 | % 35.27/10.62 | Equations (453) can reduce 223 to: % 35.27/10.62 | (303) $false % 35.27/10.62 | % 35.27/10.62 |-The branch is then unsatisfiable % 35.27/10.62 |-Branch two: % 35.27/10.62 | (428) ~ (all_0_53_53 = e3) % 35.27/10.62 | (2165) all_0_55_55 = e3 % 35.27/10.62 | % 35.27/10.62 | Combining equations (2165,530) yields a new equation: % 35.27/10.62 | (680) e3 = e1 % 35.27/10.62 | % 35.27/10.62 | Simplifying 680 yields: % 35.27/10.62 | (601) e3 = e1 % 35.27/10.62 | % 35.27/10.62 | Equations (601) can reduce 136 to: % 35.27/10.62 | (303) $false % 35.27/10.62 | % 35.27/10.62 |-The branch is then unsatisfiable % 35.27/10.62 |-Branch two: % 35.27/10.62 | (274) ~ (all_0_53_53 = e2) % 35.27/10.62 | (15180) all_0_54_54 = e2 | all_0_55_55 = e2 % 35.27/10.62 | % 35.27/10.62 +-Applying beta-rule and splitting (15180), into two cases. % 35.27/10.62 |-Branch one: % 35.27/10.62 | (271) all_0_54_54 = e2 % 35.27/10.62 | % 35.27/10.62 | Combining equations (469,271) yields a new equation: % 35.27/10.62 | (878) e4 = e2 % 35.27/10.62 | % 35.27/10.62 | Simplifying 878 yields: % 35.27/10.62 | (470) e4 = e2 % 35.27/10.62 | % 35.27/10.62 | Equations (470) can reduce 231 to: % 35.27/10.62 | (303) $false % 35.27/10.62 | % 35.27/10.62 |-The branch is then unsatisfiable % 35.27/10.62 |-Branch two: % 35.27/10.62 | (3453) ~ (all_0_54_54 = e2) % 35.27/10.62 | (932) all_0_55_55 = e2 % 35.27/10.62 | % 35.27/10.62 | Combining equations (932,530) yields a new equation: % 35.27/10.62 | (584) e2 = e1 % 35.27/10.62 | % 35.27/10.62 | Simplifying 584 yields: % 35.27/10.62 | (585) e2 = e1 % 35.27/10.62 | % 35.27/10.62 | Equations (585) can reduce 144 to: % 35.27/10.62 | (303) $false % 35.27/10.62 | % 35.27/10.62 |-The branch is then unsatisfiable % 35.27/10.62 |-Branch two: % 35.27/10.62 | (543) ~ (all_0_41_41 = e2) & ~ (all_0_43_43 = e2) & ~ (all_0_45_45 = e2) & ~ (all_0_47_47 = e2) & ~ (all_0_48_48 = e2) & ~ (all_0_50_50 = e2) & ~ (all_0_51_51 = e2) & ~ (all_0_53_53 = e2) & ~ (all_0_55_55 = e2) & ~ (all_0_57_57 = e2) & ~ (all_0_59_59 = e2) & ( ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2))) & ( ~ (all_0_42_42 = e2) | ~ (unit = e2)) & ( ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2))) & ( ~ (all_0_46_46 = e2) | ~ (unit = e2)) & ( ~ (all_0_49_49 = e2) | ~ (unit = e2)) & ( ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2))) & ( ~ (all_0_54_54 = e2) | ~ (unit = e2)) & ( ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2))) & ( ~ (all_0_58_58 = e2) | ~ (unit = e2)) & ( ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2))) % 35.27/10.62 | % 35.27/10.62 | Applying alpha-rule on (543) yields: % 35.27/10.62 | (544) ~ (all_0_48_48 = e2) % 35.27/10.62 | (369) ~ (all_0_41_41 = e2) % 35.27/10.62 | (546) ~ (all_0_52_52 = e2) | (all_0_54_54 = e4 & ~ (unit = e2)) % 35.27/10.62 | (547) ~ (all_0_60_60 = e2) | (all_0_58_58 = e0 & ~ (unit = e2)) % 35.27/10.62 | (253) ~ (all_0_43_43 = e2) % 35.27/10.62 | (549) ~ (all_0_42_42 = e2) | ~ (unit = e2) % 35.27/10.62 | (276) ~ (all_0_55_55 = e2) % 35.27/10.62 | (260) ~ (all_0_59_59 = e2) % 35.27/10.62 | (552) ~ (all_0_56_56 = e2) | (all_0_58_58 = e4 & ~ (unit = e2)) % 35.27/10.62 | (274) ~ (all_0_53_53 = e2) % 35.27/10.62 | (554) ~ (all_0_54_54 = e2) | ~ (unit = e2) % 35.27/10.62 | (373) ~ (all_0_51_51 = e2) % 35.27/10.62 | (556) ~ (all_0_40_40 = e2) | (all_0_42_42 = e4 & ~ (unit = e2)) % 35.27/10.62 | (256) ~ (all_0_47_47 = e2) % 35.27/10.62 | (377) ~ (all_0_57_57 = e2) % 35.27/10.62 | (559) ~ (all_0_46_46 = e2) | ~ (unit = e2) % 35.27/10.62 | (560) ~ (all_0_49_49 = e2) | ~ (unit = e2) % 35.27/10.62 | (561) ~ (all_0_58_58 = e2) | ~ (unit = e2) % 35.27/10.62 | (258) ~ (all_0_50_50 = e2) % 35.27/10.62 | (254) ~ (all_0_45_45 = e2) % 35.27/10.62 | (564) ~ (all_0_44_44 = e2) | (all_0_42_42 = e0 & ~ (unit = e2)) % 35.27/10.62 | % 35.27/10.62 | Equations (951) can reduce 254 to: % 35.27/10.62 | (303) $false % 35.27/10.62 | % 35.27/10.62 |-The branch is then unsatisfiable % 35.27/10.62 |-Branch two: % 35.27/10.62 | (254) ~ (all_0_45_45 = e2) % 35.27/10.62 | (26722) all_0_46_46 = e2 | all_0_47_47 = e2 % 35.27/10.62 | % 35.27/10.62 +-Applying beta-rule and splitting (76), into two cases. % 35.27/10.62 |-Branch one: % 35.27/10.62 | (951) all_0_45_45 = e2 % 35.27/10.62 | % 35.27/10.62 | Equations (951) can reduce 254 to: % 35.27/10.62 | (303) $false % 35.27/10.62 | % 35.27/10.62 |-The branch is then unsatisfiable % 35.27/10.62 |-Branch two: % 35.27/10.62 | (254) ~ (all_0_45_45 = e2) % 35.27/10.62 | (6273) all_0_45_45 = e3 | all_0_45_45 = e0 % 35.27/10.62 | % 35.27/10.62 +-Applying beta-rule and splitting (6273), into two cases. % 35.27/10.62 |-Branch one: % 35.27/10.62 | (287) all_0_45_45 = e0 % 35.27/10.62 | % 35.27/10.62 | Equations (287) can reduce 534 to: % 35.27/10.62 | (303) $false % 35.27/10.62 | % 35.27/10.62 |-The branch is then unsatisfiable % 35.27/10.62 |-Branch two: % 35.27/10.62 | (534) ~ (all_0_45_45 = e0) % 35.27/10.62 | (493) all_0_45_45 = e3 % 35.27/10.62 | % 35.27/10.62 | Equations (493) can reduce 1109 to: % 35.27/10.62 | (303) $false % 35.27/10.62 | % 35.27/10.62 |-The branch is then unsatisfiable % 35.27/10.62 % SZS output end Proof for theBenchmark % 35.27/10.62 % 35.27/10.62 10038ms %------------------------------------------------------------------------------