%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : ALG150+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n020.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 15:36:54 EDT 2022 % Result : Unsatisfiable 6.16s 2.21s % Output : Proof 24.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG150+1 : TPTP v8.1.0. Released v2.7.0. % 0.12/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n020.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Wed Jun 8 08:45:21 EDT 2022 % 0.12/0.34 % CPUTime : % 0.56/0.62 ____ _ % 0.56/0.62 ___ / __ \_____(_)___ ________ __________ % 0.56/0.62 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.56/0.62 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.56/0.62 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.56/0.62 % 0.56/0.62 A Theorem Prover for First-Order Logic % 0.56/0.62 (ePrincess v.1.0) % 0.56/0.62 % 0.56/0.62 (c) Philipp Rümmer, 2009-2015 % 0.56/0.62 (c) Peter Backeman, 2014-2015 % 0.56/0.62 (contributions by Angelo Brillout, Peter Baumgartner) % 0.56/0.62 Free software under GNU Lesser General Public License (LGPL). % 0.56/0.62 Bug reports to peter@backeman.se % 0.56/0.62 % 0.56/0.62 For more information, visit http://user.uu.se/~petba168/breu/ % 0.56/0.62 % 0.56/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.67/0.69 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.36/1.17 Prover 0: Preprocessing ... % 3.19/1.45 Prover 0: Constructing countermodel ... % 6.16/2.21 Prover 0: proved (1522ms) % 6.16/2.21 % 6.16/2.21 No countermodel exists, formula is valid % 6.16/2.21 % SZS status Unsatisfiable for theBenchmark % 6.16/2.21 % 6.16/2.22 Generating proof ... found it (size 9063) % 20.39/5.58 % 20.39/5.58 % SZS output start Proof for theBenchmark % 20.39/5.58 Assumed formulas after preprocessing and simplification: % 20.39/5.58 | (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] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(v15, v15) = v32 & op(v10, v10) = v34 & op(v5, v5) = v36 & op(v0, v0) = v38 & op(e3, v32) = v33 & op(e3, v15) = v31 & op(e3, v11) = v27 & op(e3, v7) = v23 & op(e3, v3) = v19 & op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, v34) = v35 & op(e2, v14) = v30 & op(e2, v10) = v26 & op(e2, v6) = v22 & op(e2, v2) = v18 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, v36) = v37 & op(e1, v13) = v29 & op(e1, v9) = v25 & op(e1, v5) = v21 & op(e1, v1) = v17 & op(e1, e3) = v7 & op(e1, e2) = v6 & op(e1, e1) = v5 & op(e1, e0) = v4 & op(e0, v38) = v39 & op(e0, v12) = v28 & op(e0, v8) = v24 & op(e0, v4) = v20 & op(e0, v0) = v16 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & ! [v40] : ! [v41] : ! [v42] : ! [v43] : (v41 = v40 | ~ (op(v43, v42) = v41) | ~ (op(v43, v42) = v40)) & ( ~ (v39 = e3) | ~ (v38 = e2) | ~ (v0 = e1)) & ( ~ (v39 = e3) | ~ (v38 = e1) | ~ (v0 = e2)) & ( ~ (v39 = e2) | ~ (v38 = e3) | ~ (v0 = e1)) & ( ~ (v39 = e2) | ~ (v38 = e1) | ~ (v0 = e3)) & ( ~ (v39 = e1) | ~ (v38 = e3) | ~ (v0 = e2)) & ( ~ (v39 = e1) | ~ (v38 = e2) | ~ (v0 = e3)) & ( ~ (v37 = e3) | ~ (v36 = e2) | ~ (v5 = e0)) & ( ~ (v37 = e3) | ~ (v36 = e0) | ~ (v5 = e2)) & ( ~ (v37 = e2) | ~ (v36 = e3) | ~ (v5 = e0)) & ( ~ (v37 = e2) | ~ (v36 = e0) | ~ (v5 = e3)) & ( ~ (v37 = e0) | ~ (v36 = e3) | ~ (v5 = e2)) & ( ~ (v37 = e0) | ~ (v36 = e2) | ~ (v5 = e3)) & ( ~ (v35 = e3) | ~ (v34 = e1) | ~ (v10 = e0)) & ( ~ (v35 = e3) | ~ (v34 = e0) | ~ (v10 = e1)) & ( ~ (v35 = e1) | ~ (v34 = e3) | ~ (v10 = e0)) & ( ~ (v35 = e1) | ~ (v34 = e0) | ~ (v10 = e3)) & ( ~ (v35 = e0) | ~ (v34 = e3) | ~ (v10 = e1)) & ( ~ (v35 = e0) | ~ (v34 = e1) | ~ (v10 = e3)) & ( ~ (v33 = e2) | ~ (v32 = e1) | ~ (v15 = e0)) & ( ~ (v33 = e2) | ~ (v32 = e0) | ~ (v15 = e1)) & ( ~ (v33 = e1) | ~ (v32 = e2) | ~ (v15 = e0)) & ( ~ (v33 = e1) | ~ (v32 = e0) | ~ (v15 = e2)) & ( ~ (v33 = e0) | ~ (v32 = e2) | ~ (v15 = e1)) & ( ~ (v33 = e0) | ~ (v32 = e1) | ~ (v15 = e2)) & ( ~ (v15 = e2) | v14 = e3) & ( ~ (v15 = e1) | v13 = e3) & ( ~ (v15 = e0) | v12 = e3) & ( ~ (v10 = e3) | v11 = e2) & ( ~ (v10 = e1) | v9 = e2) & ( ~ (v10 = e0) | v8 = e2) & ( ~ (v5 = e3) | v7 = e1) & ( ~ (v5 = e2) | v6 = e1) & ( ~ (v5 = e0) | v4 = e1) & ( ~ (v0 = e3) | v3 = e0) & ( ~ (v0 = e2) | v2 = e0) & ( ~ (v0 = e1) | v1 = e0) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v15 = e3 | v14 = e3 | v13 = e3 | v12 = e3) & (v15 = e3 | v11 = e3 | v7 = e3 | v3 = e3) & (v15 = e3 | v10 = e2 | v5 = e1 | v0 = e0) & (v15 = e2 | v14 = e2 | v13 = e2 | v12 = e2) & (v15 = e2 | v11 = e2 | v7 = e2 | v3 = e2) & (v15 = e1 | v14 = e1 | v13 = e1 | v12 = e1) & (v15 = e1 | v11 = e1 | v7 = e1 | v3 = e1) & (v15 = e0 | v14 = e0 | v13 = e0 | v12 = e0) & (v15 = e0 | v11 = e0 | v7 = e0 | v3 = e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v14 = e3 | v10 = e3 | v6 = e3 | v2 = e3) & (v14 = e2 | v10 = e2 | v6 = e2 | v2 = e2) & (v14 = e1 | v10 = e1 | v6 = e1 | v2 = e1) & (v14 = e0 | v10 = e0 | v6 = e0 | v2 = e0) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v13 = e3 | v9 = e3 | v5 = e3 | v1 = e3) & (v13 = e2 | v9 = e2 | v5 = e2 | v1 = e2) & (v13 = e1 | v9 = e1 | v5 = e1 | v1 = e1) & (v13 = e0 | v9 = e0 | v5 = e0 | v1 = e0) & (v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v12 = e3 | v8 = e3 | v4 = e3 | v0 = e3) & (v12 = e2 | v8 = e2 | v4 = e2 | v0 = e2) & (v12 = e1 | v8 = e1 | v4 = e1 | v0 = e1) & (v12 = e0 | v8 = e0 | v4 = e0 | v0 = e0) & (v11 = e3 | v11 = e2 | v11 = e1 | v11 = e0) & (v11 = e3 | v10 = e3 | v9 = e3 | v8 = e3) & (v11 = e2 | v10 = e2 | v9 = e2 | v8 = e2) & (v11 = e1 | v10 = e1 | v9 = e1 | v8 = e1) & (v11 = e0 | v10 = e0 | v9 = e0 | v8 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) & (v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v7 = e3 | v6 = e3 | v5 = e3 | v4 = e3) & (v7 = e2 | v6 = e2 | v5 = e2 | v4 = e2) & (v7 = e1 | v6 = e1 | v5 = e1 | v4 = e1) & (v7 = e0 | v6 = e0 | v5 = e0 | v4 = e0) & (v6 = e3 | v6 = e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 = e1 | v3 = e0) & (v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v3 = e1 | v2 = e1 | v1 = e1 | v0 = e1) & (v3 = e0 | v2 = e0 | v1 = e0 | v0 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0) & (( ~ (v31 = v15) & ~ (v30 = v14) & ~ (v29 = v13) & ~ (v28 = v12)) | ( ~ (v27 = v11) & ~ (v26 = v10) & ~ (v25 = v9) & ~ (v24 = v8)) | ( ~ (v23 = v7) & ~ (v22 = v6) & ~ (v21 = v5) & ~ (v20 = v4)) | ( ~ (v19 = v3) & ~ (v18 = v2) & ~ (v17 = v1) & ~ (v16 = v0)))) % 20.80/5.64 | 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 yields: % 20.80/5.64 | (1) ~ (all_0_24_24 = all_0_25_25) & ~ (all_0_24_24 = all_0_26_26) & ~ (all_0_24_24 = all_0_27_27) & ~ (all_0_24_24 = all_0_28_28) & ~ (all_0_24_24 = all_0_32_32) & ~ (all_0_24_24 = all_0_36_36) & ~ (all_0_25_25 = all_0_26_26) & ~ (all_0_25_25 = all_0_27_27) & ~ (all_0_25_25 = all_0_29_29) & ~ (all_0_25_25 = all_0_33_33) & ~ (all_0_25_25 = all_0_37_37) & ~ (all_0_26_26 = all_0_27_27) & ~ (all_0_26_26 = all_0_30_30) & ~ (all_0_26_26 = all_0_34_34) & ~ (all_0_26_26 = all_0_38_38) & ~ (all_0_27_27 = all_0_31_31) & ~ (all_0_27_27 = all_0_35_35) & ~ (all_0_27_27 = all_0_39_39) & ~ (all_0_28_28 = all_0_29_29) & ~ (all_0_28_28 = all_0_30_30) & ~ (all_0_28_28 = all_0_31_31) & ~ (all_0_28_28 = all_0_32_32) & ~ (all_0_28_28 = all_0_36_36) & ~ (all_0_29_29 = all_0_30_30) & ~ (all_0_29_29 = all_0_31_31) & ~ (all_0_29_29 = all_0_33_33) & ~ (all_0_29_29 = all_0_37_37) & ~ (all_0_30_30 = all_0_31_31) & ~ (all_0_30_30 = all_0_34_34) & ~ (all_0_30_30 = all_0_38_38) & ~ (all_0_31_31 = all_0_35_35) & ~ (all_0_31_31 = all_0_39_39) & ~ (all_0_32_32 = all_0_33_33) & ~ (all_0_32_32 = all_0_34_34) & ~ (all_0_32_32 = all_0_35_35) & ~ (all_0_32_32 = all_0_36_36) & ~ (all_0_33_33 = all_0_34_34) & ~ (all_0_33_33 = all_0_35_35) & ~ (all_0_33_33 = all_0_37_37) & ~ (all_0_34_34 = all_0_35_35) & ~ (all_0_34_34 = all_0_38_38) & ~ (all_0_35_35 = all_0_39_39) & ~ (all_0_36_36 = all_0_37_37) & ~ (all_0_36_36 = all_0_38_38) & ~ (all_0_36_36 = all_0_39_39) & ~ (all_0_37_37 = all_0_38_38) & ~ (all_0_37_37 = all_0_39_39) & ~ (all_0_38_38 = all_0_39_39) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(all_0_24_24, all_0_24_24) = all_0_7_7 & op(all_0_29_29, all_0_29_29) = all_0_5_5 & op(all_0_34_34, all_0_34_34) = all_0_3_3 & op(all_0_39_39, all_0_39_39) = all_0_1_1 & op(e3, all_0_7_7) = all_0_6_6 & op(e3, all_0_24_24) = all_0_8_8 & op(e3, all_0_28_28) = all_0_12_12 & op(e3, all_0_32_32) = all_0_16_16 & op(e3, all_0_36_36) = all_0_20_20 & op(e3, e3) = all_0_24_24 & op(e3, e2) = all_0_25_25 & op(e3, e1) = all_0_26_26 & op(e3, e0) = all_0_27_27 & op(e2, all_0_5_5) = all_0_4_4 & op(e2, all_0_25_25) = all_0_9_9 & op(e2, all_0_29_29) = all_0_13_13 & op(e2, all_0_33_33) = all_0_17_17 & op(e2, all_0_37_37) = all_0_21_21 & op(e2, e3) = all_0_28_28 & op(e2, e2) = all_0_29_29 & op(e2, e1) = all_0_30_30 & op(e2, e0) = all_0_31_31 & op(e1, all_0_3_3) = all_0_2_2 & op(e1, all_0_26_26) = all_0_10_10 & op(e1, all_0_30_30) = all_0_14_14 & op(e1, all_0_34_34) = all_0_18_18 & op(e1, all_0_38_38) = all_0_22_22 & op(e1, e3) = all_0_32_32 & op(e1, e2) = all_0_33_33 & op(e1, e1) = all_0_34_34 & op(e1, e0) = all_0_35_35 & op(e0, all_0_1_1) = all_0_0_0 & op(e0, all_0_27_27) = all_0_11_11 & op(e0, all_0_31_31) = all_0_15_15 & op(e0, all_0_35_35) = all_0_19_19 & op(e0, all_0_39_39) = all_0_23_23 & op(e0, e3) = all_0_36_36 & op(e0, e2) = all_0_37_37 & op(e0, e1) = all_0_38_38 & op(e0, e0) = all_0_39_39 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) & ( ~ (all_0_0_0 = e3) | ~ (all_0_1_1 = e2) | ~ (all_0_39_39 = e1)) & ( ~ (all_0_0_0 = e3) | ~ (all_0_1_1 = e1) | ~ (all_0_39_39 = e2)) & ( ~ (all_0_0_0 = e2) | ~ (all_0_1_1 = e3) | ~ (all_0_39_39 = e1)) & ( ~ (all_0_0_0 = e2) | ~ (all_0_1_1 = e1) | ~ (all_0_39_39 = e3)) & ( ~ (all_0_0_0 = e1) | ~ (all_0_1_1 = e3) | ~ (all_0_39_39 = e2)) & ( ~ (all_0_0_0 = e1) | ~ (all_0_1_1 = e2) | ~ (all_0_39_39 = e3)) & ( ~ (all_0_2_2 = e3) | ~ (all_0_3_3 = e2) | ~ (all_0_34_34 = e0)) & ( ~ (all_0_2_2 = e3) | ~ (all_0_3_3 = e0) | ~ (all_0_34_34 = e2)) & ( ~ (all_0_2_2 = e2) | ~ (all_0_3_3 = e3) | ~ (all_0_34_34 = e0)) & ( ~ (all_0_2_2 = e2) | ~ (all_0_3_3 = e0) | ~ (all_0_34_34 = e3)) & ( ~ (all_0_2_2 = e0) | ~ (all_0_3_3 = e3) | ~ (all_0_34_34 = e2)) & ( ~ (all_0_2_2 = e0) | ~ (all_0_3_3 = e2) | ~ (all_0_34_34 = e3)) & ( ~ (all_0_4_4 = e3) | ~ (all_0_5_5 = e1) | ~ (all_0_29_29 = e0)) & ( ~ (all_0_4_4 = e3) | ~ (all_0_5_5 = e0) | ~ (all_0_29_29 = e1)) & ( ~ (all_0_4_4 = e1) | ~ (all_0_5_5 = e3) | ~ (all_0_29_29 = e0)) & ( ~ (all_0_4_4 = e1) | ~ (all_0_5_5 = e0) | ~ (all_0_29_29 = e3)) & ( ~ (all_0_4_4 = e0) | ~ (all_0_5_5 = e3) | ~ (all_0_29_29 = e1)) & ( ~ (all_0_4_4 = e0) | ~ (all_0_5_5 = e1) | ~ (all_0_29_29 = e3)) & ( ~ (all_0_6_6 = e2) | ~ (all_0_7_7 = e1) | ~ (all_0_24_24 = e0)) & ( ~ (all_0_6_6 = e2) | ~ (all_0_7_7 = e0) | ~ (all_0_24_24 = e1)) & ( ~ (all_0_6_6 = e1) | ~ (all_0_7_7 = e2) | ~ (all_0_24_24 = e0)) & ( ~ (all_0_6_6 = e1) | ~ (all_0_7_7 = e0) | ~ (all_0_24_24 = e2)) & ( ~ (all_0_6_6 = e0) | ~ (all_0_7_7 = e2) | ~ (all_0_24_24 = e1)) & ( ~ (all_0_6_6 = e0) | ~ (all_0_7_7 = e1) | ~ (all_0_24_24 = e2)) & ( ~ (all_0_24_24 = e2) | all_0_25_25 = e3) & ( ~ (all_0_24_24 = e1) | all_0_26_26 = e3) & ( ~ (all_0_24_24 = e0) | all_0_27_27 = e3) & ( ~ (all_0_29_29 = e3) | all_0_28_28 = e2) & ( ~ (all_0_29_29 = e1) | all_0_30_30 = e2) & ( ~ (all_0_29_29 = e0) | all_0_31_31 = e2) & ( ~ (all_0_34_34 = e3) | all_0_32_32 = e1) & ( ~ (all_0_34_34 = e2) | all_0_33_33 = e1) & ( ~ (all_0_34_34 = e0) | all_0_35_35 = e1) & ( ~ (all_0_39_39 = e3) | all_0_36_36 = e0) & ( ~ (all_0_39_39 = e2) | all_0_37_37 = e0) & ( ~ (all_0_39_39 = e1) | all_0_38_38 = e0) & (all_0_24_24 = e3 | all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0) & (all_0_24_24 = e3 | all_0_25_25 = e3 | all_0_26_26 = e3 | all_0_27_27 = e3) & (all_0_24_24 = e3 | all_0_28_28 = e3 | all_0_32_32 = e3 | all_0_36_36 = e3) & (all_0_24_24 = e3 | all_0_29_29 = e2 | all_0_34_34 = e1 | all_0_39_39 = e0) & (all_0_24_24 = e2 | all_0_25_25 = e2 | all_0_26_26 = e2 | all_0_27_27 = e2) & (all_0_24_24 = e2 | all_0_28_28 = e2 | all_0_32_32 = e2 | all_0_36_36 = e2) & (all_0_24_24 = e1 | all_0_25_25 = e1 | all_0_26_26 = e1 | all_0_27_27 = e1) & (all_0_24_24 = e1 | all_0_28_28 = e1 | all_0_32_32 = e1 | all_0_36_36 = e1) & (all_0_24_24 = e0 | all_0_25_25 = e0 | all_0_26_26 = e0 | all_0_27_27 = e0) & (all_0_24_24 = e0 | all_0_28_28 = e0 | all_0_32_32 = e0 | all_0_36_36 = e0) & (all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0) & (all_0_25_25 = e3 | all_0_29_29 = e3 | all_0_33_33 = e3 | all_0_37_37 = e3) & (all_0_25_25 = e2 | all_0_29_29 = e2 | all_0_33_33 = e2 | all_0_37_37 = e2) & (all_0_25_25 = e1 | all_0_29_29 = e1 | all_0_33_33 = e1 | all_0_37_37 = e1) & (all_0_25_25 = e0 | all_0_29_29 = e0 | all_0_33_33 = e0 | all_0_37_37 = e0) & (all_0_26_26 = e3 | all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0) & (all_0_26_26 = e3 | all_0_30_30 = e3 | all_0_34_34 = e3 | all_0_38_38 = e3) & (all_0_26_26 = e2 | all_0_30_30 = e2 | all_0_34_34 = e2 | all_0_38_38 = e2) & (all_0_26_26 = e1 | all_0_30_30 = e1 | all_0_34_34 = e1 | all_0_38_38 = e1) & (all_0_26_26 = e0 | all_0_30_30 = e0 | all_0_34_34 = e0 | all_0_38_38 = e0) & (all_0_27_27 = e3 | all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0) & (all_0_27_27 = e3 | all_0_31_31 = e3 | all_0_35_35 = e3 | all_0_39_39 = e3) & (all_0_27_27 = e2 | all_0_31_31 = e2 | all_0_35_35 = e2 | all_0_39_39 = e2) & (all_0_27_27 = e1 | all_0_31_31 = e1 | all_0_35_35 = e1 | all_0_39_39 = e1) & (all_0_27_27 = e0 | all_0_31_31 = e0 | all_0_35_35 = e0 | all_0_39_39 = e0) & (all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0) & (all_0_28_28 = e3 | all_0_29_29 = e3 | all_0_30_30 = e3 | all_0_31_31 = e3) & (all_0_28_28 = e2 | all_0_29_29 = e2 | all_0_30_30 = e2 | all_0_31_31 = e2) & (all_0_28_28 = e1 | all_0_29_29 = e1 | all_0_30_30 = e1 | all_0_31_31 = e1) & (all_0_28_28 = e0 | all_0_29_29 = e0 | all_0_30_30 = e0 | all_0_31_31 = e0) & (all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0) & (all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0) & (all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0) & (all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0) & (all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3 | all_0_35_35 = e3) & (all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2 | all_0_35_35 = e2) & (all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1 | all_0_35_35 = e1) & (all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0) & (all_0_33_33 = e3 | all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0) & (all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0) & (all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0) & (all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0) & (all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3) & (all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2) & (all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1) & (all_0_36_36 = e0 | all_0_37_37 = e0 | all_0_38_38 = e0 | all_0_39_39 = e0) & (all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0) & (all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0) & (all_0_39_39 = e3 | all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0) & (( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) | ( ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35)) | ( ~ (all_0_20_20 = all_0_36_36) & ~ (all_0_21_21 = all_0_37_37) & ~ (all_0_22_22 = all_0_38_38) & ~ (all_0_23_23 = all_0_39_39))) % 20.80/5.66 | % 20.80/5.66 | Applying alpha-rule on (1) yields: % 20.80/5.66 | (2) ~ (all_0_32_32 = all_0_33_33) % 20.80/5.66 | (3) op(e1, e2) = all_0_33_33 % 20.80/5.66 | (4) ~ (all_0_24_24 = e0) | all_0_27_27 = e3 % 20.80/5.66 | (5) op(e2, all_0_5_5) = all_0_4_4 % 20.80/5.66 | (6) all_0_26_26 = e2 | all_0_30_30 = e2 | all_0_34_34 = e2 | all_0_38_38 = e2 % 20.80/5.66 | (7) ~ (all_0_27_27 = all_0_35_35) % 20.80/5.66 | (8) ~ (all_0_31_31 = all_0_39_39) % 20.80/5.66 | (9) ~ (all_0_24_24 = all_0_28_28) % 20.80/5.66 | (10) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0 % 20.80/5.66 | (11) ~ (all_0_32_32 = all_0_36_36) % 20.80/5.66 | (12) ~ (all_0_2_2 = e3) | ~ (all_0_3_3 = e0) | ~ (all_0_34_34 = e2) % 20.80/5.66 | (13) all_0_27_27 = e2 | all_0_31_31 = e2 | all_0_35_35 = e2 | all_0_39_39 = e2 % 20.80/5.66 | (14) all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2 | all_0_35_35 = e2 % 20.80/5.66 | (15) ~ (all_0_30_30 = all_0_38_38) % 20.80/5.66 | (16) all_0_28_28 = e1 | all_0_29_29 = e1 | all_0_30_30 = e1 | all_0_31_31 = e1 % 20.80/5.66 | (17) all_0_24_24 = e3 | all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0 % 20.80/5.66 | (18) ~ (all_0_26_26 = all_0_27_27) % 20.80/5.66 | (19) ~ (all_0_36_36 = all_0_39_39) % 20.80/5.66 | (20) ~ (all_0_33_33 = all_0_34_34) % 20.80/5.66 | (21) op(e1, all_0_30_30) = all_0_14_14 % 20.80/5.66 | (22) all_0_25_25 = e1 | all_0_29_29 = e1 | all_0_33_33 = e1 | all_0_37_37 = e1 % 20.80/5.66 | (23) ~ (all_0_36_36 = all_0_38_38) % 20.80/5.66 | (24) op(e1, all_0_3_3) = all_0_2_2 % 20.80/5.66 | (25) ~ (all_0_2_2 = e0) | ~ (all_0_3_3 = e3) | ~ (all_0_34_34 = e2) % 20.80/5.66 | (26) op(e0, e0) = all_0_39_39 % 20.80/5.66 | (27) all_0_28_28 = e0 | all_0_29_29 = e0 | all_0_30_30 = e0 | all_0_31_31 = e0 % 20.80/5.66 | (28) op(all_0_34_34, all_0_34_34) = all_0_3_3 % 20.80/5.66 | (29) ~ (all_0_29_29 = e0) | all_0_31_31 = e2 % 20.80/5.66 | (30) ~ (all_0_28_28 = all_0_31_31) % 20.80/5.66 | (31) ~ (all_0_25_25 = all_0_37_37) % 20.80/5.66 | (32) ~ (all_0_2_2 = e2) | ~ (all_0_3_3 = e0) | ~ (all_0_34_34 = e3) % 20.80/5.66 | (33) all_0_33_33 = e3 | all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0 % 20.80/5.66 | (34) all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0 % 20.80/5.67 | (35) ~ (all_0_29_29 = all_0_37_37) % 20.80/5.67 | (36) ~ (all_0_2_2 = e0) | ~ (all_0_3_3 = e2) | ~ (all_0_34_34 = e3) % 20.80/5.67 | (37) all_0_39_39 = e3 | all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0 % 20.80/5.67 | (38) all_0_27_27 = e0 | all_0_31_31 = e0 | all_0_35_35 = e0 | all_0_39_39 = e0 % 20.80/5.67 | (39) ~ (all_0_38_38 = all_0_39_39) % 20.80/5.67 | (40) op(e0, all_0_31_31) = all_0_15_15 % 20.80/5.67 | (41) ~ (all_0_6_6 = e2) | ~ (all_0_7_7 = e0) | ~ (all_0_24_24 = e1) % 20.80/5.67 | (42) ~ (all_0_4_4 = e0) | ~ (all_0_5_5 = e3) | ~ (all_0_29_29 = e1) % 20.80/5.67 | (43) op(e3, e2) = all_0_25_25 % 20.80/5.67 | (44) ~ (all_0_26_26 = all_0_38_38) % 20.80/5.67 | (45) op(all_0_29_29, all_0_29_29) = all_0_5_5 % 20.80/5.67 | (46) ~ (all_0_4_4 = e0) | ~ (all_0_5_5 = e1) | ~ (all_0_29_29 = e3) % 20.80/5.67 | (47) ~ (all_0_25_25 = all_0_29_29) % 20.80/5.67 | (48) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) | ( ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35)) | ( ~ (all_0_20_20 = all_0_36_36) & ~ (all_0_21_21 = all_0_37_37) & ~ (all_0_22_22 = all_0_38_38) & ~ (all_0_23_23 = all_0_39_39)) % 20.80/5.67 | (49) ~ (all_0_34_34 = all_0_35_35) % 20.80/5.67 | (50) op(e2, all_0_29_29) = all_0_13_13 % 20.80/5.67 | (51) ~ (all_0_29_29 = e1) | all_0_30_30 = e2 % 20.80/5.67 | (52) ~ (all_0_28_28 = all_0_36_36) % 20.80/5.67 | (53) ~ (all_0_29_29 = all_0_31_31) % 20.80/5.67 | (54) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3 | all_0_35_35 = e3 % 20.80/5.67 | (55) all_0_27_27 = e3 | all_0_31_31 = e3 | all_0_35_35 = e3 | all_0_39_39 = e3 % 20.80/5.67 | (56) all_0_26_26 = e0 | all_0_30_30 = e0 | all_0_34_34 = e0 | all_0_38_38 = e0 % 20.80/5.67 | (57) op(e3, e0) = all_0_27_27 % 20.80/5.67 | (58) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 20.80/5.67 | (59) all_0_24_24 = e3 | all_0_25_25 = e3 | all_0_26_26 = e3 | all_0_27_27 = e3 % 20.80/5.67 | (60) ~ (all_0_24_24 = all_0_26_26) % 20.80/5.67 | (61) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0 % 20.80/5.67 | (62) ~ (e3 = e2) % 20.80/5.67 | (63) ~ (all_0_37_37 = all_0_38_38) % 20.80/5.67 | (64) ~ (all_0_37_37 = all_0_39_39) % 20.80/5.67 | (65) ~ (all_0_0_0 = e1) | ~ (all_0_1_1 = e3) | ~ (all_0_39_39 = e2) % 20.80/5.67 | (66) all_0_24_24 = e0 | all_0_25_25 = e0 | all_0_26_26 = e0 | all_0_27_27 = e0 % 20.80/5.67 | (67) all_0_24_24 = e3 | all_0_29_29 = e2 | all_0_34_34 = e1 | all_0_39_39 = e0 % 20.80/5.67 | (68) ~ (all_0_24_24 = all_0_36_36) % 20.80/5.67 | (69) ~ (all_0_39_39 = e2) | all_0_37_37 = e0 % 20.80/5.67 | (70) all_0_26_26 = e3 | all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0 % 20.80/5.67 | (71) ~ (all_0_25_25 = all_0_26_26) % 20.80/5.67 | (72) op(e3, all_0_7_7) = all_0_6_6 % 20.80/5.67 | (73) ~ (all_0_2_2 = e2) | ~ (all_0_3_3 = e3) | ~ (all_0_34_34 = e0) % 20.80/5.67 | (74) ~ (e3 = e1) % 20.80/5.67 | (75) op(e3, all_0_32_32) = all_0_16_16 % 20.80/5.67 | (76) ~ (all_0_34_34 = e2) | all_0_33_33 = e1 % 20.80/5.68 | (77) all_0_28_28 = e2 | all_0_29_29 = e2 | all_0_30_30 = e2 | all_0_31_31 = e2 % 20.80/5.68 | (78) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0 % 20.80/5.68 | (79) ~ (e3 = e0) % 20.80/5.68 | (80) all_0_25_25 = e3 | all_0_29_29 = e3 | all_0_33_33 = e3 | all_0_37_37 = e3 % 20.80/5.68 | (81) op(e0, e3) = all_0_36_36 % 20.80/5.68 | (82) op(e1, e3) = all_0_32_32 % 20.80/5.68 | (83) ~ (all_0_4_4 = e1) | ~ (all_0_5_5 = e3) | ~ (all_0_29_29 = e0) % 20.80/5.68 | (84) op(e1, all_0_26_26) = all_0_10_10 % 20.80/5.68 | (85) all_0_25_25 = e2 | all_0_29_29 = e2 | all_0_33_33 = e2 | all_0_37_37 = e2 % 20.80/5.68 | (86) op(e3, all_0_36_36) = all_0_20_20 % 20.80/5.68 | (87) ~ (e2 = e0) % 20.80/5.68 | (88) op(e1, e0) = all_0_35_35 % 20.80/5.68 | (89) ~ (all_0_32_32 = all_0_35_35) % 20.80/5.68 | (90) ~ (all_0_0_0 = e2) | ~ (all_0_1_1 = e1) | ~ (all_0_39_39 = e3) % 20.80/5.68 | (91) op(e1, e1) = all_0_34_34 % 20.80/5.68 | (92) op(e2, all_0_37_37) = all_0_21_21 % 20.80/5.68 | (93) op(e0, all_0_39_39) = all_0_23_23 % 20.80/5.68 | (94) all_0_25_25 = e0 | all_0_29_29 = e0 | all_0_33_33 = e0 | all_0_37_37 = e0 % 20.80/5.68 | (95) ~ (all_0_28_28 = all_0_32_32) % 20.80/5.68 | (96) all_0_27_27 = e3 | all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0 % 20.80/5.68 | (97) all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0 % 20.80/5.68 | (98) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2 % 20.80/5.68 | (99) ~ (all_0_4_4 = e1) | ~ (all_0_5_5 = e0) | ~ (all_0_29_29 = e3) % 20.80/5.68 | (100) ~ (all_0_39_39 = e3) | all_0_36_36 = e0 % 20.80/5.68 | (101) op(all_0_39_39, all_0_39_39) = all_0_1_1 % 20.80/5.68 | (102) ~ (all_0_24_24 = all_0_32_32) % 20.80/5.68 | (103) op(e3, e3) = all_0_24_24 % 20.80/5.68 | (104) all_0_28_28 = e3 | all_0_29_29 = e3 | all_0_30_30 = e3 | all_0_31_31 = e3 % 20.80/5.68 | (105) ~ (all_0_34_34 = all_0_38_38) % 20.80/5.68 | (106) ~ (all_0_33_33 = all_0_35_35) % 20.80/5.68 | (107) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3 % 20.80/5.68 | (108) ~ (all_0_29_29 = all_0_33_33) % 20.80/5.68 | (109) ~ (all_0_6_6 = e1) | ~ (all_0_7_7 = e2) | ~ (all_0_24_24 = e0) % 20.80/5.68 | (110) ~ (all_0_2_2 = e3) | ~ (all_0_3_3 = e2) | ~ (all_0_34_34 = e0) % 20.80/5.68 | (111) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0 % 20.80/5.68 | (112) op(e2, all_0_25_25) = all_0_9_9 % 20.80/5.68 | (113) all_0_24_24 = e1 | all_0_28_28 = e1 | all_0_32_32 = e1 | all_0_36_36 = e1 % 20.80/5.68 | (114) ~ (all_0_25_25 = all_0_33_33) % 20.80/5.69 | (115) all_0_24_24 = e0 | all_0_28_28 = e0 | all_0_32_32 = e0 | all_0_36_36 = e0 % 20.80/5.69 | (116) ~ (all_0_0_0 = e1) | ~ (all_0_1_1 = e2) | ~ (all_0_39_39 = e3) % 20.80/5.69 | (117) all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1 | all_0_35_35 = e1 % 20.80/5.69 | (118) ~ (all_0_28_28 = all_0_29_29) % 20.80/5.69 | (119) ~ (all_0_27_27 = all_0_31_31) % 20.80/5.69 | (120) ~ (all_0_0_0 = e2) | ~ (all_0_1_1 = e3) | ~ (all_0_39_39 = e1) % 20.80/5.69 | (121) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0 % 20.80/5.69 | (122) op(e2, e1) = all_0_30_30 % 20.80/5.69 | (123) all_0_36_36 = e0 | all_0_37_37 = e0 | all_0_38_38 = e0 | all_0_39_39 = e0 % 20.80/5.69 | (124) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0 % 20.80/5.69 | (125) ~ (all_0_35_35 = all_0_39_39) % 20.80/5.69 | (126) all_0_24_24 = e1 | all_0_25_25 = e1 | all_0_26_26 = e1 | all_0_27_27 = e1 % 20.80/5.69 | (127) ~ (all_0_4_4 = e3) | ~ (all_0_5_5 = e1) | ~ (all_0_29_29 = e0) % 20.80/5.69 | (128) ~ (e2 = e1) % 21.19/5.69 | (129) op(e0, e1) = all_0_38_38 % 21.19/5.69 | (130) ~ (all_0_25_25 = all_0_27_27) % 21.19/5.69 | (131) ~ (all_0_26_26 = all_0_34_34) % 21.19/5.69 | (132) ~ (all_0_24_24 = e1) | all_0_26_26 = e3 % 21.19/5.69 | (133) ~ (all_0_29_29 = all_0_30_30) % 21.19/5.69 | (134) all_0_27_27 = e1 | all_0_31_31 = e1 | all_0_35_35 = e1 | all_0_39_39 = e1 % 21.19/5.69 | (135) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0 % 21.19/5.69 | (136) op(e0, all_0_27_27) = all_0_11_11 % 21.19/5.69 | (137) ~ (all_0_6_6 = e0) | ~ (all_0_7_7 = e2) | ~ (all_0_24_24 = e1) % 21.19/5.69 | (138) ~ (all_0_0_0 = e3) | ~ (all_0_1_1 = e1) | ~ (all_0_39_39 = e2) % 21.19/5.69 | (139) ~ (all_0_30_30 = all_0_34_34) % 21.19/5.69 | (140) all_0_26_26 = e1 | all_0_30_30 = e1 | all_0_34_34 = e1 | all_0_38_38 = e1 % 21.19/5.69 | (141) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 21.19/5.69 | (142) all_0_24_24 = e3 | all_0_28_28 = e3 | all_0_32_32 = e3 | all_0_36_36 = e3 % 21.19/5.69 | (143) op(all_0_24_24, all_0_24_24) = all_0_7_7 % 21.19/5.69 | (144) op(e1, all_0_34_34) = all_0_18_18 % 21.19/5.69 | (145) ~ (all_0_27_27 = all_0_39_39) % 21.19/5.69 | (146) ~ (all_0_34_34 = e0) | all_0_35_35 = e1 % 21.19/5.69 | (147) ~ (all_0_31_31 = all_0_35_35) % 21.19/5.69 | (148) ~ (all_0_6_6 = e2) | ~ (all_0_7_7 = e1) | ~ (all_0_24_24 = e0) % 21.19/5.70 | (149) ~ (all_0_24_24 = all_0_25_25) % 21.19/5.70 | (150) op(e2, e3) = all_0_28_28 % 21.19/5.70 | (151) ~ (all_0_26_26 = all_0_30_30) % 21.19/5.70 | (152) op(e1, all_0_38_38) = all_0_22_22 % 21.19/5.70 | (153) ~ (e1 = e0) % 21.19/5.70 | (154) ~ (all_0_34_34 = e3) | all_0_32_32 = e1 % 21.19/5.70 | (155) op(e0, all_0_1_1) = all_0_0_0 % 21.19/5.70 | (156) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1 % 21.19/5.70 | (157) op(e2, all_0_33_33) = all_0_17_17 % 21.19/5.70 | (158) all_0_24_24 = e2 | all_0_25_25 = e2 | all_0_26_26 = e2 | all_0_27_27 = e2 % 21.19/5.70 | (159) ~ (all_0_28_28 = all_0_30_30) % 21.19/5.70 | (160) ~ (all_0_24_24 = all_0_27_27) % 21.19/5.70 | (161) ~ (all_0_6_6 = e1) | ~ (all_0_7_7 = e0) | ~ (all_0_24_24 = e2) % 21.19/5.70 | (162) all_0_24_24 = e2 | all_0_28_28 = e2 | all_0_32_32 = e2 | all_0_36_36 = e2 % 21.19/5.70 | (163) ~ (all_0_24_24 = e2) | all_0_25_25 = e3 % 21.19/5.70 | (164) ~ (all_0_29_29 = e3) | all_0_28_28 = e2 % 21.19/5.70 | (165) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0 % 21.19/5.70 | (166) ~ (all_0_32_32 = all_0_34_34) % 21.19/5.70 | (167) ~ (all_0_39_39 = e1) | all_0_38_38 = e0 % 21.19/5.70 | (168) ~ (all_0_30_30 = all_0_31_31) % 21.19/5.70 | (169) ~ (all_0_36_36 = all_0_37_37) % 21.19/5.70 | (170) op(e0, all_0_35_35) = all_0_19_19 % 21.19/5.70 | (171) ~ (all_0_0_0 = e3) | ~ (all_0_1_1 = e2) | ~ (all_0_39_39 = e1) % 21.19/5.70 | (172) ~ (all_0_6_6 = e0) | ~ (all_0_7_7 = e1) | ~ (all_0_24_24 = e2) % 21.19/5.70 | (173) op(e0, e2) = all_0_37_37 % 21.19/5.70 | (174) all_0_26_26 = e3 | all_0_30_30 = e3 | all_0_34_34 = e3 | all_0_38_38 = e3 % 21.19/5.70 | (175) op(e3, all_0_28_28) = all_0_12_12 % 21.19/5.70 | (176) op(e3, e1) = all_0_26_26 % 21.19/5.70 | (177) op(e2, e0) = all_0_31_31 % 21.19/5.70 | (178) op(e2, e2) = all_0_29_29 % 21.19/5.70 | (179) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0 % 21.19/5.70 | (180) op(e3, all_0_24_24) = all_0_8_8 % 21.19/5.70 | (181) ~ (all_0_4_4 = e3) | ~ (all_0_5_5 = e0) | ~ (all_0_29_29 = e1) % 21.19/5.70 | (182) ~ (all_0_33_33 = all_0_37_37) % 21.19/5.70 | % 21.19/5.70 +-Applying beta-rule and splitting (51), into two cases. % 21.19/5.70 |-Branch one: % 21.19/5.70 | (183) ~ (all_0_29_29 = e1) % 21.19/5.70 | % 21.19/5.70 +-Applying beta-rule and splitting (167), into two cases. % 21.19/5.70 |-Branch one: % 21.19/5.70 | (184) ~ (all_0_39_39 = e1) % 21.19/5.70 | % 21.19/5.70 +-Applying beta-rule and splitting (69), into two cases. % 21.19/5.70 |-Branch one: % 21.19/5.70 | (185) ~ (all_0_39_39 = e2) % 21.19/5.70 | % 21.19/5.70 +-Applying beta-rule and splitting (100), into two cases. % 21.19/5.70 |-Branch one: % 21.19/5.70 | (186) ~ (all_0_39_39 = e3) % 21.19/5.70 | % 21.19/5.70 +-Applying beta-rule and splitting (37), into two cases. % 21.19/5.70 |-Branch one: % 21.19/5.70 | (187) all_0_39_39 = e3 % 21.19/5.70 | % 21.19/5.70 | Equations (187) can reduce 186 to: % 21.19/5.70 | (188) $false % 21.19/5.70 | % 21.19/5.70 |-The branch is then unsatisfiable % 21.19/5.70 |-Branch two: % 21.19/5.70 | (186) ~ (all_0_39_39 = e3) % 21.19/5.70 | (190) all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0 % 21.19/5.70 | % 21.19/5.70 +-Applying beta-rule and splitting (190), into two cases. % 21.19/5.70 |-Branch one: % 21.19/5.70 | (191) all_0_39_39 = e2 % 21.19/5.70 | % 21.19/5.71 | Equations (191) can reduce 185 to: % 21.19/5.71 | (188) $false % 21.19/5.71 | % 21.19/5.71 |-The branch is then unsatisfiable % 21.19/5.71 |-Branch two: % 21.19/5.71 | (185) ~ (all_0_39_39 = e2) % 21.19/5.71 | (194) all_0_39_39 = e1 | all_0_39_39 = e0 % 21.19/5.71 | % 21.19/5.71 +-Applying beta-rule and splitting (194), into two cases. % 21.19/5.71 |-Branch one: % 21.19/5.71 | (195) all_0_39_39 = e1 % 21.19/5.71 | % 21.19/5.71 | Equations (195) can reduce 184 to: % 21.19/5.71 | (188) $false % 21.19/5.71 | % 21.19/5.71 |-The branch is then unsatisfiable % 21.19/5.71 |-Branch two: % 21.19/5.71 | (184) ~ (all_0_39_39 = e1) % 21.19/5.71 | (198) all_0_39_39 = e0 % 21.19/5.71 | % 21.19/5.71 | Equations (198) can reduce 145 to: % 21.19/5.71 | (199) ~ (all_0_27_27 = e0) % 21.19/5.71 | % 21.19/5.71 | Equations (198) can reduce 8 to: % 21.19/5.71 | (200) ~ (all_0_31_31 = e0) % 21.19/5.71 | % 21.19/5.71 | Equations (198) can reduce 125 to: % 21.19/5.71 | (201) ~ (all_0_35_35 = e0) % 21.19/5.71 | % 21.19/5.71 | Equations (198) can reduce 19 to: % 21.19/5.71 | (202) ~ (all_0_36_36 = e0) % 21.19/5.71 | % 21.19/5.71 | Equations (198) can reduce 64 to: % 21.19/5.71 | (203) ~ (all_0_37_37 = e0) % 21.19/5.71 | % 21.19/5.71 | Equations (198) can reduce 39 to: % 21.19/5.71 | (204) ~ (all_0_38_38 = e0) % 21.19/5.71 | % 21.19/5.71 | Equations (198) can reduce 186 to: % 21.19/5.71 | (205) ~ (e3 = e0) % 21.19/5.71 | % 21.19/5.71 | Simplifying 205 yields: % 21.19/5.71 | (79) ~ (e3 = e0) % 21.19/5.71 | % 21.19/5.71 | Equations (198) can reduce 185 to: % 21.19/5.71 | (207) ~ (e2 = e0) % 21.19/5.71 | % 21.19/5.71 | Simplifying 207 yields: % 21.19/5.71 | (87) ~ (e2 = e0) % 21.19/5.71 | % 21.19/5.71 | Equations (198) can reduce 184 to: % 21.19/5.71 | (209) ~ (e1 = e0) % 21.19/5.71 | % 21.19/5.71 | Simplifying 209 yields: % 21.19/5.71 | (153) ~ (e1 = e0) % 21.19/5.71 | % 21.19/5.71 | From (198)(198) and (101) follows: % 21.19/5.71 | (211) op(e0, e0) = all_0_1_1 % 21.19/5.71 | % 21.19/5.71 | From (198) and (93) follows: % 21.19/5.71 | (212) op(e0, e0) = all_0_23_23 % 21.19/5.71 | % 21.19/5.71 | From (198) and (26) follows: % 21.19/5.71 | (213) op(e0, e0) = e0 % 21.19/5.71 | % 21.19/5.71 | Instantiating formula (58) with e0, e0, all_0_23_23, all_0_1_1 and discharging atoms op(e0, e0) = all_0_1_1, op(e0, e0) = all_0_23_23, yields: % 21.19/5.71 | (214) all_0_1_1 = all_0_23_23 % 21.19/5.71 | % 21.19/5.71 | Instantiating formula (58) with e0, e0, e0, all_0_1_1 and discharging atoms op(e0, e0) = all_0_1_1, op(e0, e0) = e0, yields: % 21.19/5.71 | (215) all_0_1_1 = e0 % 21.19/5.71 | % 21.19/5.71 | Combining equations (214,215) yields a new equation: % 21.19/5.71 | (216) all_0_23_23 = e0 % 21.19/5.71 | % 21.19/5.71 | Simplifying 216 yields: % 21.19/5.71 | (217) all_0_23_23 = e0 % 21.19/5.71 | % 21.19/5.71 +-Applying beta-rule and splitting (132), into two cases. % 21.19/5.71 |-Branch one: % 21.19/5.71 | (218) ~ (all_0_24_24 = e1) % 21.19/5.71 | % 21.19/5.71 +-Applying beta-rule and splitting (163), into two cases. % 21.19/5.71 |-Branch one: % 21.19/5.71 | (219) ~ (all_0_24_24 = e2) % 21.19/5.71 | % 21.19/5.71 +-Applying beta-rule and splitting (4), into two cases. % 21.19/5.71 |-Branch one: % 21.19/5.71 | (220) ~ (all_0_24_24 = e0) % 21.19/5.71 | % 21.19/5.71 +-Applying beta-rule and splitting (17), into two cases. % 21.19/5.71 |-Branch one: % 21.19/5.71 | (221) all_0_24_24 = e3 % 21.19/5.71 | % 21.19/5.71 | Equations (221) can reduce 149 to: % 21.19/5.71 | (222) ~ (all_0_25_25 = e3) % 21.19/5.71 | % 21.19/5.71 | Simplifying 222 yields: % 21.19/5.71 | (223) ~ (all_0_25_25 = e3) % 21.19/5.71 | % 21.19/5.71 | Equations (221) can reduce 60 to: % 21.19/5.71 | (224) ~ (all_0_26_26 = e3) % 21.19/5.71 | % 21.19/5.71 | Simplifying 224 yields: % 21.19/5.71 | (225) ~ (all_0_26_26 = e3) % 21.19/5.71 | % 21.19/5.71 | Equations (221) can reduce 160 to: % 21.19/5.71 | (226) ~ (all_0_27_27 = e3) % 21.19/5.71 | % 21.19/5.71 | Simplifying 226 yields: % 21.19/5.71 | (227) ~ (all_0_27_27 = e3) % 21.19/5.71 | % 21.19/5.71 | Equations (221) can reduce 9 to: % 21.19/5.71 | (228) ~ (all_0_28_28 = e3) % 21.19/5.71 | % 21.19/5.71 | Simplifying 228 yields: % 21.19/5.71 | (229) ~ (all_0_28_28 = e3) % 21.19/5.71 | % 21.19/5.71 | Equations (221) can reduce 102 to: % 21.19/5.71 | (230) ~ (all_0_32_32 = e3) % 21.19/5.71 | % 21.19/5.71 | Simplifying 230 yields: % 21.19/5.71 | (231) ~ (all_0_32_32 = e3) % 21.19/5.71 | % 21.19/5.71 | Equations (221) can reduce 68 to: % 21.19/5.71 | (232) ~ (all_0_36_36 = e3) % 21.19/5.71 | % 21.19/5.71 | Simplifying 232 yields: % 21.19/5.71 | (233) ~ (all_0_36_36 = e3) % 21.19/5.71 | % 21.19/5.71 | Equations (221) can reduce 219 to: % 21.19/5.71 | (62) ~ (e3 = e2) % 21.19/5.71 | % 21.19/5.71 | Equations (221) can reduce 218 to: % 21.19/5.71 | (74) ~ (e3 = e1) % 21.19/5.72 | % 21.19/5.72 | Equations (221) can reduce 220 to: % 21.19/5.72 | (79) ~ (e3 = e0) % 21.19/5.72 | % 21.19/5.72 | From (221)(221) and (143) follows: % 21.19/5.72 | (237) op(e3, e3) = all_0_7_7 % 21.19/5.72 | % 21.19/5.72 | From (221) and (180) follows: % 21.19/5.72 | (238) op(e3, e3) = all_0_8_8 % 21.19/5.72 | % 21.19/5.72 | From (221) and (103) follows: % 21.19/5.72 | (239) op(e3, e3) = e3 % 21.19/5.72 | % 21.19/5.72 | Instantiating formula (58) with e3, e3, all_0_8_8, all_0_7_7 and discharging atoms op(e3, e3) = all_0_7_7, op(e3, e3) = all_0_8_8, yields: % 21.19/5.72 | (240) all_0_7_7 = all_0_8_8 % 21.19/5.72 | % 21.19/5.72 | Instantiating formula (58) with e3, e3, e3, all_0_7_7 and discharging atoms op(e3, e3) = all_0_7_7, op(e3, e3) = e3, yields: % 21.19/5.72 | (241) all_0_7_7 = e3 % 21.19/5.72 | % 21.19/5.72 | Combining equations (240,241) yields a new equation: % 21.19/5.72 | (242) all_0_8_8 = e3 % 21.19/5.72 | % 21.19/5.72 | Simplifying 242 yields: % 21.19/5.72 | (243) all_0_8_8 = e3 % 21.19/5.72 | % 21.19/5.72 +-Applying beta-rule and splitting (154), into two cases. % 21.19/5.72 |-Branch one: % 21.19/5.72 | (244) ~ (all_0_34_34 = e3) % 21.19/5.72 | % 21.19/5.72 +-Applying beta-rule and splitting (146), into two cases. % 21.19/5.72 |-Branch one: % 21.19/5.72 | (245) ~ (all_0_34_34 = e0) % 21.19/5.72 | % 21.19/5.72 +-Applying beta-rule and splitting (164), into two cases. % 21.19/5.72 |-Branch one: % 21.19/5.72 | (246) ~ (all_0_29_29 = e3) % 21.19/5.72 | % 21.19/5.72 +-Applying beta-rule and splitting (76), into two cases. % 21.19/5.72 |-Branch one: % 21.19/5.72 | (247) ~ (all_0_34_34 = e2) % 21.19/5.72 | % 21.19/5.72 +-Applying beta-rule and splitting (135), into two cases. % 21.19/5.72 |-Branch one: % 21.19/5.72 | (248) all_0_34_34 = e3 % 21.19/5.72 | % 21.19/5.72 | Equations (248) can reduce 244 to: % 21.19/5.72 | (188) $false % 21.19/5.72 | % 21.19/5.72 |-The branch is then unsatisfiable % 21.19/5.72 |-Branch two: % 21.19/5.72 | (244) ~ (all_0_34_34 = e3) % 21.19/5.72 | (251) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0 % 21.19/5.72 | % 21.19/5.72 +-Applying beta-rule and splitting (251), into two cases. % 21.19/5.72 |-Branch one: % 21.19/5.72 | (252) all_0_34_34 = e2 % 21.19/5.72 | % 21.19/5.72 | Equations (252) can reduce 247 to: % 21.19/5.72 | (188) $false % 21.19/5.72 | % 21.19/5.72 |-The branch is then unsatisfiable % 21.19/5.72 |-Branch two: % 21.19/5.72 | (247) ~ (all_0_34_34 = e2) % 21.19/5.72 | (255) all_0_34_34 = e1 | all_0_34_34 = e0 % 21.19/5.72 | % 21.19/5.72 +-Applying beta-rule and splitting (255), into two cases. % 21.19/5.72 |-Branch one: % 21.19/5.72 | (256) all_0_34_34 = e1 % 21.19/5.72 | % 21.19/5.72 | Equations (256) can reduce 131 to: % 21.19/5.72 | (257) ~ (all_0_26_26 = e1) % 21.19/5.72 | % 21.19/5.72 | Equations (256) can reduce 139 to: % 21.19/5.72 | (258) ~ (all_0_30_30 = e1) % 21.19/5.72 | % 21.19/5.72 | Equations (256) can reduce 20 to: % 21.19/5.72 | (259) ~ (all_0_33_33 = e1) % 21.19/5.72 | % 21.19/5.72 | Equations (256) can reduce 49 to: % 21.19/5.72 | (260) ~ (all_0_35_35 = e1) % 21.19/5.72 | % 21.19/5.72 | Simplifying 260 yields: % 21.19/5.72 | (261) ~ (all_0_35_35 = e1) % 21.19/5.72 | % 21.19/5.72 | Equations (256) can reduce 105 to: % 21.19/5.72 | (262) ~ (all_0_38_38 = e1) % 21.19/5.72 | % 21.19/5.72 | Simplifying 262 yields: % 21.19/5.72 | (263) ~ (all_0_38_38 = e1) % 21.19/5.72 | % 21.19/5.72 | Equations (256) can reduce 247 to: % 21.19/5.72 | (264) ~ (e2 = e1) % 21.19/5.72 | % 21.19/5.72 | Simplifying 264 yields: % 21.19/5.72 | (128) ~ (e2 = e1) % 21.19/5.72 | % 21.19/5.72 | From (256)(256) and (28) follows: % 21.19/5.72 | (266) op(e1, e1) = all_0_3_3 % 21.19/5.72 | % 21.19/5.72 | From (256) and (144) follows: % 21.19/5.72 | (267) op(e1, e1) = all_0_18_18 % 21.19/5.72 | % 21.19/5.72 | From (256) and (91) follows: % 21.19/5.72 | (268) op(e1, e1) = e1 % 21.19/5.72 | % 21.19/5.72 | Instantiating formula (58) with e1, e1, all_0_18_18, all_0_3_3 and discharging atoms op(e1, e1) = all_0_3_3, op(e1, e1) = all_0_18_18, yields: % 21.19/5.72 | (269) all_0_3_3 = all_0_18_18 % 21.19/5.72 | % 21.19/5.72 | Instantiating formula (58) with e1, e1, e1, all_0_3_3 and discharging atoms op(e1, e1) = all_0_3_3, op(e1, e1) = e1, yields: % 21.19/5.72 | (270) all_0_3_3 = e1 % 21.19/5.72 | % 21.19/5.72 | Combining equations (269,270) yields a new equation: % 21.19/5.72 | (271) all_0_18_18 = e1 % 21.19/5.72 | % 21.19/5.72 | Simplifying 271 yields: % 21.19/5.72 | (272) all_0_18_18 = e1 % 21.19/5.72 | % 21.19/5.72 +-Applying beta-rule and splitting (48), into two cases. % 21.19/5.72 |-Branch one: % 21.19/5.72 | (273) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) | ( ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35)) % 21.19/5.72 | % 21.19/5.72 +-Applying beta-rule and splitting (273), into two cases. % 21.19/5.72 |-Branch one: % 21.19/5.72 | (274) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) % 21.19/5.72 | % 21.19/5.72 +-Applying beta-rule and splitting (274), into two cases. % 21.19/5.72 |-Branch one: % 21.19/5.72 | (275) ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27) % 21.19/5.72 | % 21.19/5.72 | Applying alpha-rule on (275) yields: % 21.19/5.72 | (276) ~ (all_0_8_8 = all_0_24_24) % 21.19/5.72 | (277) ~ (all_0_9_9 = all_0_25_25) % 21.19/5.72 | (278) ~ (all_0_10_10 = all_0_26_26) % 21.19/5.72 | (279) ~ (all_0_11_11 = all_0_27_27) % 21.19/5.72 | % 21.19/5.72 | Equations (243,221) can reduce 276 to: % 21.19/5.72 | (188) $false % 21.19/5.72 | % 21.19/5.72 |-The branch is then unsatisfiable % 21.19/5.72 |-Branch two: % 21.19/5.72 | (281) ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31) % 21.19/5.72 | % 21.19/5.72 | Applying alpha-rule on (281) yields: % 21.19/5.72 | (282) ~ (all_0_12_12 = all_0_28_28) % 21.19/5.72 | (283) ~ (all_0_13_13 = all_0_29_29) % 21.19/5.73 | (284) ~ (all_0_14_14 = all_0_30_30) % 21.19/5.73 | (285) ~ (all_0_15_15 = all_0_31_31) % 21.19/5.73 | % 21.19/5.73 +-Applying beta-rule and splitting (29), into two cases. % 21.19/5.73 |-Branch one: % 21.19/5.73 | (286) ~ (all_0_29_29 = e0) % 21.19/5.73 | % 21.19/5.73 +-Applying beta-rule and splitting (78), into two cases. % 21.19/5.73 |-Branch one: % 21.19/5.73 | (287) all_0_29_29 = e3 % 21.19/5.73 | % 21.19/5.73 | Equations (287) can reduce 246 to: % 21.19/5.73 | (188) $false % 21.19/5.73 | % 21.19/5.73 |-The branch is then unsatisfiable % 21.19/5.73 |-Branch two: % 21.19/5.73 | (246) ~ (all_0_29_29 = e3) % 21.19/5.73 | (290) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0 % 21.19/5.73 | % 21.19/5.73 +-Applying beta-rule and splitting (290), into two cases. % 21.19/5.73 |-Branch one: % 21.19/5.73 | (291) all_0_29_29 = e2 % 21.19/5.73 | % 21.19/5.73 | Equations (291) can reduce 283 to: % 21.19/5.73 | (292) ~ (all_0_13_13 = e2) % 21.19/5.73 | % 21.19/5.73 | From (291)(291) and (45) follows: % 21.19/5.73 | (293) op(e2, e2) = all_0_5_5 % 21.19/5.73 | % 21.19/5.73 | From (291) and (50) follows: % 21.19/5.73 | (294) op(e2, e2) = all_0_13_13 % 21.19/5.73 | % 21.19/5.73 | From (291) and (178) follows: % 21.19/5.73 | (295) op(e2, e2) = e2 % 21.19/5.73 | % 21.19/5.73 | Instantiating formula (58) with e2, e2, all_0_13_13, all_0_5_5 and discharging atoms op(e2, e2) = all_0_5_5, op(e2, e2) = all_0_13_13, yields: % 21.19/5.73 | (296) all_0_5_5 = all_0_13_13 % 21.19/5.73 | % 21.19/5.73 | Instantiating formula (58) with e2, e2, e2, all_0_5_5 and discharging atoms op(e2, e2) = all_0_5_5, op(e2, e2) = e2, yields: % 21.19/5.73 | (297) all_0_5_5 = e2 % 21.19/5.73 | % 21.19/5.73 | Combining equations (296,297) yields a new equation: % 21.19/5.73 | (298) all_0_13_13 = e2 % 21.19/5.73 | % 21.19/5.73 | Simplifying 298 yields: % 21.19/5.73 | (299) all_0_13_13 = e2 % 21.19/5.73 | % 21.19/5.73 | Equations (299) can reduce 292 to: % 21.19/5.73 | (188) $false % 21.19/5.73 | % 21.19/5.73 |-The branch is then unsatisfiable % 21.19/5.73 |-Branch two: % 21.19/5.73 | (301) ~ (all_0_29_29 = e2) % 21.19/5.73 | (302) all_0_29_29 = e1 | all_0_29_29 = e0 % 21.19/5.73 | % 21.19/5.73 +-Applying beta-rule and splitting (302), into two cases. % 21.19/5.73 |-Branch one: % 21.19/5.73 | (303) all_0_29_29 = e1 % 21.19/5.73 | % 21.19/5.73 | Equations (303) can reduce 183 to: % 21.19/5.73 | (188) $false % 21.19/5.73 | % 21.19/5.73 |-The branch is then unsatisfiable % 21.19/5.73 |-Branch two: % 21.19/5.73 | (183) ~ (all_0_29_29 = e1) % 21.19/5.73 | (306) all_0_29_29 = e0 % 21.19/5.73 | % 21.19/5.73 | Equations (306) can reduce 286 to: % 21.19/5.73 | (188) $false % 21.19/5.73 | % 21.19/5.73 |-The branch is then unsatisfiable % 21.19/5.73 |-Branch two: % 21.19/5.73 | (306) all_0_29_29 = e0 % 21.19/5.73 | (309) all_0_31_31 = e2 % 21.19/5.73 | % 21.19/5.73 | Equations (309) can reduce 119 to: % 21.19/5.73 | (310) ~ (all_0_27_27 = e2) % 21.19/5.73 | % 21.19/5.73 | Equations (306) can reduce 118 to: % 21.19/5.73 | (311) ~ (all_0_28_28 = e0) % 21.19/5.73 | % 21.19/5.73 | Equations (306) can reduce 133 to: % 21.19/5.73 | (312) ~ (all_0_30_30 = e0) % 21.19/5.73 | % 21.19/5.73 | Simplifying 312 yields: % 21.19/5.73 | (313) ~ (all_0_30_30 = e0) % 21.19/5.73 | % 21.19/5.73 | Equations (306) can reduce 35 to: % 21.19/5.73 | (314) ~ (all_0_37_37 = e0) % 21.19/5.73 | % 21.19/5.73 | Simplifying 314 yields: % 21.19/5.73 | (203) ~ (all_0_37_37 = e0) % 21.19/5.73 | % 21.19/5.73 | Equations (306) can reduce 183 to: % 21.19/5.73 | (209) ~ (e1 = e0) % 21.19/5.73 | % 21.19/5.73 | Simplifying 209 yields: % 21.19/5.73 | (153) ~ (e1 = e0) % 21.19/5.73 | % 21.19/5.73 | Equations (309) can reduce 147 to: % 21.19/5.73 | (318) ~ (all_0_35_35 = e2) % 21.19/5.73 | % 21.19/5.73 | Simplifying 318 yields: % 21.19/5.73 | (319) ~ (all_0_35_35 = e2) % 21.19/5.73 | % 21.19/5.73 | Equations (309) can reduce 200 to: % 21.19/5.73 | (87) ~ (e2 = e0) % 21.19/5.73 | % 21.19/5.73 +-Applying beta-rule and splitting (56), into two cases. % 21.19/5.73 |-Branch one: % 21.19/5.73 | (321) all_0_26_26 = e0 % 21.19/5.73 | % 21.19/5.73 | Equations (321) can reduce 18 to: % 21.19/5.73 | (322) ~ (all_0_27_27 = e0) % 21.19/5.73 | % 21.19/5.73 | Simplifying 322 yields: % 21.19/5.73 | (199) ~ (all_0_27_27 = e0) % 21.19/5.73 | % 21.19/5.73 | Equations (321) can reduce 225 to: % 21.19/5.73 | (205) ~ (e3 = e0) % 21.19/5.73 | % 21.19/5.73 | Simplifying 205 yields: % 21.19/5.73 | (79) ~ (e3 = e0) % 21.19/5.73 | % 21.19/5.73 | Equations (321) can reduce 257 to: % 21.19/5.73 | (209) ~ (e1 = e0) % 21.19/5.73 | % 21.19/5.73 | Simplifying 209 yields: % 21.19/5.73 | (153) ~ (e1 = e0) % 21.19/5.73 | % 21.19/5.73 +-Applying beta-rule and splitting (55), into two cases. % 21.19/5.73 |-Branch one: % 21.19/5.73 | (328) all_0_27_27 = e3 % 21.19/5.73 | % 21.19/5.73 | Equations (328) can reduce 227 to: % 21.19/5.73 | (188) $false % 21.19/5.73 | % 21.19/5.73 |-The branch is then unsatisfiable % 21.19/5.73 |-Branch two: % 21.19/5.73 | (227) ~ (all_0_27_27 = e3) % 21.19/5.73 | (331) all_0_31_31 = e3 | all_0_35_35 = e3 | all_0_39_39 = e3 % 21.19/5.73 | % 21.19/5.73 +-Applying beta-rule and splitting (158), into two cases. % 21.19/5.73 |-Branch one: % 21.19/5.73 | (332) all_0_24_24 = e2 % 21.19/5.73 | % 21.19/5.73 | Combining equations (332,221) yields a new equation: % 21.19/5.73 | (333) e3 = e2 % 21.19/5.73 | % 21.19/5.73 | Equations (333) can reduce 62 to: % 21.19/5.73 | (188) $false % 21.19/5.73 | % 21.19/5.73 |-The branch is then unsatisfiable % 21.19/5.73 |-Branch two: % 21.19/5.73 | (219) ~ (all_0_24_24 = e2) % 21.19/5.73 | (336) all_0_25_25 = e2 | all_0_26_26 = e2 | all_0_27_27 = e2 % 21.19/5.73 | % 21.19/5.73 +-Applying beta-rule and splitting (336), into two cases. % 21.19/5.73 |-Branch one: % 21.19/5.73 | (337) all_0_25_25 = e2 % 21.19/5.73 | % 21.19/5.73 | Equations (337) can reduce 31 to: % 21.19/5.73 | (338) ~ (all_0_37_37 = e2) % 21.19/5.73 | % 21.19/5.73 | Simplifying 338 yields: % 21.19/5.73 | (339) ~ (all_0_37_37 = e2) % 21.19/5.73 | % 21.19/5.73 | Equations (337) can reduce 223 to: % 21.19/5.73 | (340) ~ (e3 = e2) % 21.19/5.73 | % 21.19/5.73 | Simplifying 340 yields: % 21.19/5.73 | (62) ~ (e3 = e2) % 21.19/5.73 | % 21.19/5.73 +-Applying beta-rule and splitting (22), into two cases. % 21.19/5.73 |-Branch one: % 21.19/5.73 | (342) all_0_25_25 = e1 % 21.19/5.73 | % 21.19/5.73 | Combining equations (342,337) yields a new equation: % 21.19/5.73 | (343) e2 = e1 % 21.19/5.73 | % 21.19/5.73 | Equations (343) can reduce 128 to: % 21.19/5.73 | (188) $false % 21.19/5.73 | % 21.19/5.73 |-The branch is then unsatisfiable % 21.19/5.73 |-Branch two: % 21.19/5.73 | (345) ~ (all_0_25_25 = e1) % 21.19/5.73 | (346) all_0_29_29 = e1 | all_0_33_33 = e1 | all_0_37_37 = e1 % 21.19/5.73 | % 21.19/5.73 | Equations (337) can reduce 345 to: % 21.19/5.73 | (128) ~ (e2 = e1) % 21.19/5.73 | % 21.19/5.73 +-Applying beta-rule and splitting (16), into two cases. % 21.19/5.73 |-Branch one: % 21.19/5.73 | (348) all_0_28_28 = e1 % 21.19/5.73 | % 21.19/5.73 | Equations (348) can reduce 95 to: % 21.19/5.73 | (349) ~ (all_0_32_32 = e1) % 21.19/5.73 | % 21.19/5.73 | Simplifying 349 yields: % 21.19/5.73 | (350) ~ (all_0_32_32 = e1) % 21.19/5.73 | % 21.19/5.73 | Equations (348) can reduce 52 to: % 21.19/5.73 | (351) ~ (all_0_36_36 = e1) % 21.19/5.73 | % 21.19/5.73 | Simplifying 351 yields: % 21.19/5.74 | (352) ~ (all_0_36_36 = e1) % 21.19/5.74 | % 21.19/5.74 | Equations (348) can reduce 311 to: % 21.19/5.74 | (153) ~ (e1 = e0) % 21.19/5.74 | % 21.19/5.74 +-Applying beta-rule and splitting (134), into two cases. % 21.19/5.74 |-Branch one: % 21.19/5.74 | (354) all_0_27_27 = e1 % 21.19/5.74 | % 21.19/5.74 | Equations (354) can reduce 7 to: % 21.19/5.74 | (260) ~ (all_0_35_35 = e1) % 21.19/5.74 | % 21.19/5.74 | Simplifying 260 yields: % 21.19/5.74 | (261) ~ (all_0_35_35 = e1) % 21.19/5.74 | % 21.19/5.74 | Equations (354) can reduce 199 to: % 21.19/5.74 | (153) ~ (e1 = e0) % 21.19/5.74 | % 21.19/5.74 +-Applying beta-rule and splitting (179), into two cases. % 21.19/5.74 |-Branch one: % 21.19/5.74 | (358) all_0_35_35 = e3 % 21.19/5.74 | % 21.19/5.74 | Equations (358) can reduce 106 to: % 21.19/5.74 | (359) ~ (all_0_33_33 = e3) % 21.19/5.74 | % 21.19/5.74 | Equations (358) can reduce 319 to: % 21.19/5.74 | (62) ~ (e3 = e2) % 21.19/5.74 | % 21.19/5.74 | Equations (358) can reduce 261 to: % 21.19/5.74 | (74) ~ (e3 = e1) % 21.19/5.74 | % 21.19/5.74 | Equations (358) can reduce 201 to: % 21.19/5.74 | (79) ~ (e3 = e0) % 21.19/5.74 | % 21.19/5.74 +-Applying beta-rule and splitting (80), into two cases. % 21.19/5.74 |-Branch one: % 21.19/5.74 | (363) all_0_25_25 = e3 % 21.19/5.74 | % 21.19/5.74 | Combining equations (363,337) yields a new equation: % 21.19/5.74 | (364) e3 = e2 % 21.19/5.74 | % 21.19/5.74 | Simplifying 364 yields: % 21.19/5.74 | (333) e3 = e2 % 21.19/5.74 | % 21.19/5.74 | Equations (333) can reduce 62 to: % 21.19/5.74 | (188) $false % 21.19/5.74 | % 21.19/5.74 |-The branch is then unsatisfiable % 21.19/5.74 |-Branch two: % 21.19/5.74 | (223) ~ (all_0_25_25 = e3) % 21.19/5.74 | (368) all_0_29_29 = e3 | all_0_33_33 = e3 | all_0_37_37 = e3 % 21.19/5.74 | % 21.19/5.74 +-Applying beta-rule and splitting (368), into two cases. % 21.19/5.74 |-Branch one: % 21.19/5.74 | (287) all_0_29_29 = e3 % 21.19/5.74 | % 21.19/5.74 | Combining equations (306,287) yields a new equation: % 21.19/5.74 | (370) e3 = e0 % 21.19/5.74 | % 21.19/5.74 | Equations (370) can reduce 79 to: % 21.19/5.74 | (188) $false % 21.19/5.74 | % 21.19/5.74 |-The branch is then unsatisfiable % 21.19/5.74 |-Branch two: % 21.19/5.74 | (246) ~ (all_0_29_29 = e3) % 21.19/5.74 | (373) all_0_33_33 = e3 | all_0_37_37 = e3 % 21.19/5.74 | % 21.19/5.74 +-Applying beta-rule and splitting (373), into two cases. % 21.19/5.74 |-Branch one: % 21.19/5.74 | (374) all_0_33_33 = e3 % 21.19/5.74 | % 21.19/5.74 | Equations (374) can reduce 359 to: % 21.19/5.74 | (188) $false % 21.19/5.74 | % 21.19/5.74 |-The branch is then unsatisfiable % 21.19/5.74 |-Branch two: % 21.19/5.74 | (359) ~ (all_0_33_33 = e3) % 21.19/5.74 | (377) all_0_37_37 = e3 % 21.19/5.74 | % 21.19/5.74 +-Applying beta-rule and splitting (346), into two cases. % 21.19/5.74 |-Branch one: % 21.19/5.74 | (303) all_0_29_29 = e1 % 21.19/5.74 | % 21.19/5.74 | Combining equations (306,303) yields a new equation: % 21.19/5.74 | (379) e1 = e0 % 21.19/5.74 | % 21.19/5.74 | Equations (379) can reduce 153 to: % 21.19/5.74 | (188) $false % 21.19/5.74 | % 21.19/5.74 |-The branch is then unsatisfiable % 21.19/5.74 |-Branch two: % 21.19/5.74 | (183) ~ (all_0_29_29 = e1) % 21.19/5.74 | (382) all_0_33_33 = e1 | all_0_37_37 = e1 % 21.19/5.74 | % 21.19/5.74 +-Applying beta-rule and splitting (382), into two cases. % 21.19/5.74 |-Branch one: % 21.19/5.74 | (383) all_0_33_33 = e1 % 21.19/5.74 | % 21.19/5.74 | Equations (383) can reduce 259 to: % 21.19/5.74 | (188) $false % 21.19/5.74 | % 21.19/5.74 |-The branch is then unsatisfiable % 21.19/5.74 |-Branch two: % 21.19/5.74 | (259) ~ (all_0_33_33 = e1) % 21.19/5.74 | (386) all_0_37_37 = e1 % 21.19/5.74 | % 21.19/5.74 | Combining equations (386,377) yields a new equation: % 21.19/5.74 | (387) e3 = e1 % 21.19/5.74 | % 21.19/5.74 | Equations (387) can reduce 74 to: % 21.19/5.74 | (188) $false % 21.19/5.74 | % 21.19/5.74 |-The branch is then unsatisfiable % 21.19/5.74 |-Branch two: % 21.19/5.74 | (389) ~ (all_0_35_35 = e3) % 21.19/5.74 | (390) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0 % 21.19/5.74 | % 21.19/5.74 +-Applying beta-rule and splitting (141), into two cases. % 21.19/5.74 |-Branch one: % 21.19/5.74 | (391) all_0_32_32 = e0 % 21.19/5.74 | % 21.19/5.74 | Equations (391) can reduce 89 to: % 21.19/5.74 | (392) ~ (all_0_35_35 = e0) % 21.19/5.74 | % 21.19/5.74 | Simplifying 392 yields: % 21.19/5.74 | (201) ~ (all_0_35_35 = e0) % 21.19/5.74 | % 21.19/5.74 +-Applying beta-rule and splitting (390), into two cases. % 21.19/5.74 |-Branch one: % 21.19/5.74 | (394) all_0_35_35 = e2 % 21.19/5.74 | % 21.19/5.74 | Equations (394) can reduce 319 to: % 21.19/5.74 | (188) $false % 21.19/5.74 | % 21.19/5.74 |-The branch is then unsatisfiable % 21.19/5.74 |-Branch two: % 21.19/5.74 | (319) ~ (all_0_35_35 = e2) % 21.19/5.74 | (397) all_0_35_35 = e1 | all_0_35_35 = e0 % 21.19/5.74 | % 21.19/5.74 +-Applying beta-rule and splitting (397), into two cases. % 21.19/5.74 |-Branch one: % 21.19/5.74 | (398) all_0_35_35 = e1 % 21.19/5.74 | % 21.19/5.74 | Equations (398) can reduce 261 to: % 21.19/5.74 | (188) $false % 21.19/5.74 | % 21.19/5.74 |-The branch is then unsatisfiable % 21.19/5.74 |-Branch two: % 21.19/5.74 | (261) ~ (all_0_35_35 = e1) % 21.19/5.74 | (401) all_0_35_35 = e0 % 21.19/5.74 | % 21.19/5.74 | Equations (401) can reduce 201 to: % 21.19/5.74 | (188) $false % 21.19/5.74 | % 21.19/5.74 |-The branch is then unsatisfiable % 21.19/5.74 |-Branch two: % 21.19/5.74 | (403) ~ (all_0_32_32 = e0) % 21.19/5.74 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 21.19/5.74 | % 21.19/5.74 +-Applying beta-rule and splitting (14), into two cases. % 21.19/5.74 |-Branch one: % 21.19/5.74 | (405) all_0_32_32 = e2 % 21.19/5.74 | % 21.19/5.74 | Equations (405) can reduce 231 to: % 21.19/5.74 | (340) ~ (e3 = e2) % 21.19/5.74 | % 21.19/5.74 | Simplifying 340 yields: % 21.19/5.74 | (62) ~ (e3 = e2) % 21.19/5.74 | % 21.19/5.74 +-Applying beta-rule and splitting (54), into two cases. % 21.19/5.74 |-Branch one: % 21.19/5.74 | (408) all_0_32_32 = e3 % 21.19/5.74 | % 21.19/5.74 | Combining equations (408,405) yields a new equation: % 21.19/5.74 | (364) e3 = e2 % 21.19/5.74 | % 21.19/5.74 | Simplifying 364 yields: % 21.19/5.74 | (333) e3 = e2 % 21.19/5.74 | % 21.19/5.74 | Equations (333) can reduce 62 to: % 21.19/5.74 | (188) $false % 21.19/5.74 | % 21.19/5.74 |-The branch is then unsatisfiable % 21.19/5.74 |-Branch two: % 21.19/5.74 | (231) ~ (all_0_32_32 = e3) % 21.19/5.74 | (413) all_0_33_33 = e3 | all_0_34_34 = e3 | all_0_35_35 = e3 % 21.19/5.74 | % 21.19/5.74 | Equations (405) can reduce 231 to: % 21.19/5.74 | (340) ~ (e3 = e2) % 21.19/5.74 | % 21.19/5.74 | Simplifying 340 yields: % 21.19/5.74 | (62) ~ (e3 = e2) % 21.19/5.74 | % 21.19/5.74 +-Applying beta-rule and splitting (331), into two cases. % 21.19/5.74 |-Branch one: % 21.19/5.74 | (416) all_0_31_31 = e3 % 21.19/5.74 | % 21.19/5.74 | Combining equations (309,416) yields a new equation: % 21.19/5.74 | (333) e3 = e2 % 21.19/5.74 | % 21.19/5.74 | Equations (333) can reduce 62 to: % 21.19/5.74 | (188) $false % 21.19/5.74 | % 21.19/5.74 |-The branch is then unsatisfiable % 21.19/5.74 |-Branch two: % 21.19/5.74 | (419) ~ (all_0_31_31 = e3) % 21.19/5.74 | (420) all_0_35_35 = e3 | all_0_39_39 = e3 % 21.19/5.74 | % 21.19/5.74 +-Applying beta-rule and splitting (420), into two cases. % 21.19/5.74 |-Branch one: % 21.19/5.74 | (358) all_0_35_35 = e3 % 21.19/5.74 | % 21.19/5.74 | Equations (358) can reduce 389 to: % 21.19/5.74 | (188) $false % 21.19/5.74 | % 21.19/5.74 |-The branch is then unsatisfiable % 21.19/5.74 |-Branch two: % 21.19/5.74 | (389) ~ (all_0_35_35 = e3) % 21.19/5.74 | (187) all_0_39_39 = e3 % 21.19/5.74 | % 21.19/5.74 | Combining equations (187,198) yields a new equation: % 21.19/5.74 | (425) e3 = e0 % 21.19/5.74 | % 21.19/5.74 | Simplifying 425 yields: % 21.19/5.74 | (370) e3 = e0 % 21.19/5.74 | % 21.19/5.74 | Equations (370) can reduce 79 to: % 21.19/5.74 | (188) $false % 21.19/5.74 | % 21.19/5.74 |-The branch is then unsatisfiable % 21.19/5.74 |-Branch two: % 21.19/5.74 | (428) ~ (all_0_32_32 = e2) % 21.19/5.74 | (429) all_0_33_33 = e2 | all_0_34_34 = e2 | all_0_35_35 = e2 % 21.19/5.74 | % 21.19/5.75 +-Applying beta-rule and splitting (124), into two cases. % 21.19/5.75 |-Branch one: % 21.19/5.75 | (408) all_0_32_32 = e3 % 21.19/5.75 | % 21.19/5.75 | Equations (408) can reduce 231 to: % 21.19/5.75 | (188) $false % 21.19/5.75 | % 21.19/5.75 |-The branch is then unsatisfiable % 21.19/5.75 |-Branch two: % 21.19/5.75 | (231) ~ (all_0_32_32 = e3) % 21.19/5.75 | (433) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0 % 21.19/5.75 | % 21.19/5.75 +-Applying beta-rule and splitting (433), into two cases. % 21.19/5.75 |-Branch one: % 21.19/5.75 | (405) all_0_32_32 = e2 % 21.19/5.75 | % 21.19/5.75 | Equations (405) can reduce 428 to: % 21.19/5.75 | (188) $false % 21.19/5.75 | % 21.19/5.75 |-The branch is then unsatisfiable % 21.19/5.75 |-Branch two: % 21.19/5.75 | (428) ~ (all_0_32_32 = e2) % 21.19/5.75 | (437) all_0_32_32 = e1 | all_0_32_32 = e0 % 21.19/5.75 | % 21.19/5.75 +-Applying beta-rule and splitting (437), into two cases. % 21.19/5.75 |-Branch one: % 21.19/5.75 | (438) all_0_32_32 = e1 % 21.19/5.75 | % 21.19/5.75 | Equations (438) can reduce 350 to: % 21.19/5.75 | (188) $false % 21.19/5.75 | % 21.19/5.75 |-The branch is then unsatisfiable % 21.19/5.75 |-Branch two: % 21.19/5.75 | (350) ~ (all_0_32_32 = e1) % 21.19/5.75 | (391) all_0_32_32 = e0 % 21.19/5.75 | % 21.19/5.75 | Equations (391) can reduce 403 to: % 21.19/5.75 | (188) $false % 21.19/5.75 | % 21.19/5.75 |-The branch is then unsatisfiable % 21.19/5.75 |-Branch two: % 21.19/5.75 | (443) ~ (all_0_27_27 = e1) % 21.19/5.75 | (444) all_0_31_31 = e1 | all_0_35_35 = e1 | all_0_39_39 = e1 % 21.19/5.75 | % 21.19/5.75 +-Applying beta-rule and splitting (156), into two cases. % 21.19/5.75 |-Branch one: % 21.19/5.75 | (445) all_0_36_36 = e1 % 21.19/5.75 | % 21.19/5.75 | Equations (445) can reduce 352 to: % 21.19/5.75 | (188) $false % 21.19/5.75 | % 21.19/5.75 |-The branch is then unsatisfiable % 21.19/5.75 |-Branch two: % 21.19/5.75 | (352) ~ (all_0_36_36 = e1) % 21.19/5.75 | (448) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1 % 21.19/5.75 | % 21.19/5.75 +-Applying beta-rule and splitting (331), into two cases. % 21.19/5.75 |-Branch one: % 21.19/5.75 | (416) all_0_31_31 = e3 % 21.19/5.75 | % 21.19/5.75 | Combining equations (309,416) yields a new equation: % 21.19/5.75 | (333) e3 = e2 % 21.19/5.75 | % 21.19/5.75 | Equations (333) can reduce 62 to: % 21.19/5.75 | (188) $false % 21.19/5.75 | % 21.19/5.75 |-The branch is then unsatisfiable % 21.19/5.75 |-Branch two: % 21.19/5.75 | (419) ~ (all_0_31_31 = e3) % 21.19/5.75 | (420) all_0_35_35 = e3 | all_0_39_39 = e3 % 21.19/5.75 | % 21.19/5.75 +-Applying beta-rule and splitting (97), into two cases. % 21.19/5.75 |-Branch one: % 21.19/5.75 | (454) all_0_36_36 = e3 % 21.19/5.75 | % 21.19/5.75 | Equations (454) can reduce 233 to: % 21.19/5.75 | (188) $false % 21.19/5.75 | % 21.19/5.75 |-The branch is then unsatisfiable % 21.19/5.75 |-Branch two: % 21.19/5.75 | (233) ~ (all_0_36_36 = e3) % 21.19/5.75 | (457) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0 % 21.19/5.75 | % 21.19/5.75 +-Applying beta-rule and splitting (420), into two cases. % 21.19/5.75 |-Branch one: % 21.19/5.75 | (358) all_0_35_35 = e3 % 21.19/5.75 | % 21.19/5.75 | Equations (358) can reduce 261 to: % 21.19/5.75 | (74) ~ (e3 = e1) % 21.19/5.75 | % 21.19/5.75 | Equations (358) can reduce 201 to: % 21.19/5.75 | (79) ~ (e3 = e0) % 21.19/5.75 | % 21.19/5.75 +-Applying beta-rule and splitting (346), into two cases. % 21.19/5.75 |-Branch one: % 21.19/5.75 | (303) all_0_29_29 = e1 % 21.19/5.75 | % 21.19/5.75 | Combining equations (306,303) yields a new equation: % 21.19/5.75 | (379) e1 = e0 % 21.19/5.75 | % 21.19/5.75 | Equations (379) can reduce 153 to: % 21.19/5.75 | (188) $false % 21.19/5.75 | % 21.19/5.75 |-The branch is then unsatisfiable % 21.19/5.75 |-Branch two: % 21.19/5.75 | (183) ~ (all_0_29_29 = e1) % 21.19/5.75 | (382) all_0_33_33 = e1 | all_0_37_37 = e1 % 21.19/5.75 | % 21.19/5.75 | Equations (306) can reduce 183 to: % 21.19/5.75 | (209) ~ (e1 = e0) % 21.19/5.75 | % 21.19/5.75 | Simplifying 209 yields: % 21.19/5.75 | (153) ~ (e1 = e0) % 21.19/5.75 | % 21.19/5.75 +-Applying beta-rule and splitting (448), into two cases. % 21.19/5.75 |-Branch one: % 21.19/5.75 | (386) all_0_37_37 = e1 % 21.19/5.75 | % 21.19/5.75 | Equations (386) can reduce 63 to: % 21.19/5.75 | (262) ~ (all_0_38_38 = e1) % 21.19/5.75 | % 21.19/5.75 | Simplifying 262 yields: % 21.19/5.75 | (263) ~ (all_0_38_38 = e1) % 21.19/5.75 | % 21.19/5.75 | Equations (386) can reduce 339 to: % 21.19/5.75 | (264) ~ (e2 = e1) % 21.19/5.75 | % 21.19/5.75 | Simplifying 264 yields: % 21.19/5.75 | (128) ~ (e2 = e1) % 21.19/5.75 | % 21.19/5.75 | Equations (386) can reduce 203 to: % 21.19/5.75 | (153) ~ (e1 = e0) % 21.19/5.75 | % 21.19/5.75 +-Applying beta-rule and splitting (107), into two cases. % 21.19/5.75 |-Branch one: % 21.19/5.75 | (454) all_0_36_36 = e3 % 21.19/5.75 | % 21.19/5.75 | Equations (454) can reduce 233 to: % 21.19/5.75 | (188) $false % 21.19/5.75 | % 21.19/5.75 |-The branch is then unsatisfiable % 21.19/5.75 |-Branch two: % 21.19/5.75 | (233) ~ (all_0_36_36 = e3) % 21.19/5.75 | (477) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3 % 21.19/5.75 | % 21.19/5.75 +-Applying beta-rule and splitting (477), into two cases. % 21.19/5.75 |-Branch one: % 21.19/5.75 | (377) all_0_37_37 = e3 % 21.19/5.75 | % 21.19/5.75 | Combining equations (386,377) yields a new equation: % 21.19/5.75 | (387) e3 = e1 % 21.19/5.75 | % 21.19/5.75 | Equations (387) can reduce 74 to: % 21.19/5.75 | (188) $false % 21.19/5.75 | % 21.19/5.75 |-The branch is then unsatisfiable % 21.19/5.75 |-Branch two: % 21.19/5.75 | (481) ~ (all_0_37_37 = e3) % 21.19/5.75 | (482) all_0_38_38 = e3 | all_0_39_39 = e3 % 21.19/5.75 | % 21.19/5.75 +-Applying beta-rule and splitting (444), into two cases. % 21.19/5.75 |-Branch one: % 21.19/5.75 | (483) all_0_31_31 = e1 % 21.19/5.75 | % 21.19/5.75 | Combining equations (309,483) yields a new equation: % 21.19/5.75 | (484) e2 = e1 % 21.19/5.75 | % 21.19/5.75 | Simplifying 484 yields: % 21.19/5.75 | (343) e2 = e1 % 21.19/5.75 | % 21.19/5.75 | Equations (343) can reduce 128 to: % 21.19/5.75 | (188) $false % 21.19/5.75 | % 21.19/5.75 |-The branch is then unsatisfiable % 21.19/5.75 |-Branch two: % 21.19/5.75 | (487) ~ (all_0_31_31 = e1) % 21.19/5.75 | (488) all_0_35_35 = e1 | all_0_39_39 = e1 % 21.19/5.75 | % 21.19/5.75 +-Applying beta-rule and splitting (482), into two cases. % 21.19/5.75 |-Branch one: % 21.19/5.75 | (489) all_0_38_38 = e3 % 21.19/5.75 | % 21.19/5.75 | Equations (489) can reduce 263 to: % 21.19/5.75 | (74) ~ (e3 = e1) % 21.19/5.75 | % 21.19/5.75 +-Applying beta-rule and splitting (488), into two cases. % 21.19/5.75 |-Branch one: % 21.19/5.75 | (398) all_0_35_35 = e1 % 21.19/5.75 | % 21.19/5.75 | Combining equations (358,398) yields a new equation: % 21.19/5.75 | (492) e3 = e1 % 21.19/5.75 | % 21.19/5.75 | Simplifying 492 yields: % 21.19/5.75 | (387) e3 = e1 % 21.19/5.75 | % 21.19/5.75 | Equations (387) can reduce 74 to: % 21.19/5.75 | (188) $false % 21.19/5.75 | % 21.19/5.75 |-The branch is then unsatisfiable % 21.19/5.75 |-Branch two: % 21.19/5.75 | (261) ~ (all_0_35_35 = e1) % 21.19/5.75 | (195) all_0_39_39 = e1 % 21.19/5.75 | % 21.19/5.75 | Combining equations (198,195) yields a new equation: % 21.19/5.75 | (379) e1 = e0 % 21.19/5.75 | % 21.19/5.75 | Equations (379) can reduce 153 to: % 21.19/5.75 | (188) $false % 21.19/5.75 | % 21.19/5.75 |-The branch is then unsatisfiable % 21.19/5.75 |-Branch two: % 21.19/5.75 | (499) ~ (all_0_38_38 = e3) % 21.19/5.75 | (187) all_0_39_39 = e3 % 21.19/5.75 | % 21.19/5.75 | Combining equations (187,198) yields a new equation: % 21.19/5.75 | (425) e3 = e0 % 21.19/5.75 | % 21.19/5.75 | Simplifying 425 yields: % 21.19/5.75 | (370) e3 = e0 % 21.19/5.75 | % 21.19/5.75 | Equations (370) can reduce 79 to: % 21.19/5.75 | (188) $false % 21.19/5.75 | % 21.19/5.75 |-The branch is then unsatisfiable % 21.19/5.75 |-Branch two: % 21.19/5.75 | (504) ~ (all_0_37_37 = e1) % 21.19/5.75 | (505) all_0_38_38 = e1 | all_0_39_39 = e1 % 21.19/5.75 | % 21.19/5.75 +-Applying beta-rule and splitting (505), into two cases. % 21.19/5.75 |-Branch one: % 21.19/5.75 | (506) all_0_38_38 = e1 % 21.19/5.75 | % 21.19/5.75 | Equations (506) can reduce 263 to: % 21.19/5.75 | (188) $false % 21.19/5.75 | % 21.19/5.75 |-The branch is then unsatisfiable % 21.19/5.75 |-Branch two: % 21.19/5.75 | (263) ~ (all_0_38_38 = e1) % 21.19/5.75 | (195) all_0_39_39 = e1 % 21.19/5.75 | % 21.19/5.75 | Combining equations (195,198) yields a new equation: % 21.19/5.75 | (510) e1 = e0 % 21.19/5.75 | % 21.19/5.75 | Simplifying 510 yields: % 21.19/5.75 | (379) e1 = e0 % 21.19/5.75 | % 21.19/5.75 | Equations (379) can reduce 153 to: % 21.19/5.75 | (188) $false % 21.19/5.75 | % 21.19/5.75 |-The branch is then unsatisfiable % 21.19/5.75 |-Branch two: % 21.19/5.75 | (389) ~ (all_0_35_35 = e3) % 21.19/5.75 | (187) all_0_39_39 = e3 % 21.19/5.75 | % 21.19/5.75 | Combining equations (187,198) yields a new equation: % 21.19/5.75 | (425) e3 = e0 % 21.19/5.75 | % 21.19/5.75 | Simplifying 425 yields: % 21.19/5.75 | (370) e3 = e0 % 21.19/5.75 | % 21.19/5.75 | Equations (370) can reduce 79 to: % 21.19/5.75 | (188) $false % 21.19/5.75 | % 21.19/5.75 |-The branch is then unsatisfiable % 21.19/5.75 |-Branch two: % 21.19/5.75 | (518) ~ (all_0_28_28 = e1) % 21.19/5.75 | (519) all_0_29_29 = e1 | all_0_30_30 = e1 | all_0_31_31 = e1 % 21.19/5.75 | % 21.19/5.75 +-Applying beta-rule and splitting (519), into two cases. % 21.19/5.75 |-Branch one: % 21.19/5.75 | (303) all_0_29_29 = e1 % 21.19/5.75 | % 21.19/5.75 | Combining equations (306,303) yields a new equation: % 21.19/5.75 | (379) e1 = e0 % 21.19/5.75 | % 21.19/5.75 | Equations (379) can reduce 153 to: % 21.19/5.75 | (188) $false % 21.19/5.75 | % 21.19/5.75 |-The branch is then unsatisfiable % 21.19/5.75 |-Branch two: % 21.19/5.75 | (183) ~ (all_0_29_29 = e1) % 21.19/5.75 | (524) all_0_30_30 = e1 | all_0_31_31 = e1 % 21.19/5.75 | % 21.19/5.75 +-Applying beta-rule and splitting (524), into two cases. % 21.19/5.75 |-Branch one: % 21.19/5.75 | (525) all_0_30_30 = e1 % 21.19/5.75 | % 21.19/5.75 | Equations (525) can reduce 258 to: % 21.19/5.76 | (188) $false % 21.19/5.76 | % 21.19/5.76 |-The branch is then unsatisfiable % 21.19/5.76 |-Branch two: % 21.19/5.76 | (258) ~ (all_0_30_30 = e1) % 21.19/5.76 | (483) all_0_31_31 = e1 % 21.19/5.76 | % 21.19/5.76 | Combining equations (309,483) yields a new equation: % 21.19/5.76 | (484) e2 = e1 % 21.19/5.76 | % 21.19/5.76 | Simplifying 484 yields: % 21.19/5.76 | (343) e2 = e1 % 21.19/5.76 | % 21.19/5.76 | Equations (343) can reduce 128 to: % 21.19/5.76 | (188) $false % 21.19/5.76 | % 21.19/5.76 |-The branch is then unsatisfiable % 21.19/5.76 |-Branch two: % 21.19/5.76 | (532) ~ (all_0_25_25 = e2) % 21.19/5.76 | (533) all_0_26_26 = e2 | all_0_27_27 = e2 % 21.19/5.76 | % 21.19/5.76 +-Applying beta-rule and splitting (533), into two cases. % 21.19/5.76 |-Branch one: % 21.19/5.76 | (534) all_0_26_26 = e2 % 21.19/5.76 | % 21.19/5.76 | Combining equations (534,321) yields a new equation: % 21.19/5.76 | (535) e2 = e0 % 21.19/5.76 | % 21.19/5.76 | Simplifying 535 yields: % 21.19/5.76 | (536) e2 = e0 % 21.19/5.76 | % 21.19/5.76 | Equations (536) can reduce 87 to: % 21.19/5.76 | (188) $false % 21.19/5.76 | % 21.19/5.76 |-The branch is then unsatisfiable % 21.19/5.76 |-Branch two: % 21.19/5.76 | (538) ~ (all_0_26_26 = e2) % 21.19/5.76 | (539) all_0_27_27 = e2 % 21.19/5.76 | % 21.19/5.76 | Equations (539) can reduce 310 to: % 21.19/5.76 | (188) $false % 21.19/5.76 | % 21.19/5.76 |-The branch is then unsatisfiable % 21.19/5.76 |-Branch two: % 21.19/5.76 | (541) ~ (all_0_26_26 = e0) % 21.19/5.76 | (542) all_0_30_30 = e0 | all_0_34_34 = e0 | all_0_38_38 = e0 % 21.19/5.76 | % 21.19/5.76 +-Applying beta-rule and splitting (70), into two cases. % 21.19/5.76 |-Branch one: % 21.19/5.76 | (543) all_0_26_26 = e3 % 21.19/5.76 | % 21.19/5.76 | Equations (543) can reduce 225 to: % 21.19/5.76 | (188) $false % 21.19/5.76 | % 21.19/5.76 |-The branch is then unsatisfiable % 21.19/5.76 |-Branch two: % 21.19/5.76 | (225) ~ (all_0_26_26 = e3) % 21.19/5.76 | (546) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0 % 21.19/5.76 | % 21.19/5.76 +-Applying beta-rule and splitting (16), into two cases. % 21.19/5.76 |-Branch one: % 21.19/5.76 | (348) all_0_28_28 = e1 % 21.19/5.76 | % 21.19/5.76 | Equations (348) can reduce 159 to: % 21.19/5.76 | (548) ~ (all_0_30_30 = e1) % 21.19/5.76 | % 21.19/5.76 | Simplifying 548 yields: % 21.19/5.76 | (258) ~ (all_0_30_30 = e1) % 21.19/5.76 | % 21.19/5.76 +-Applying beta-rule and splitting (546), into two cases. % 21.19/5.76 |-Branch one: % 21.19/5.76 | (534) all_0_26_26 = e2 % 21.19/5.76 | % 21.19/5.76 | Equations (534) can reduce 151 to: % 21.19/5.76 | (551) ~ (all_0_30_30 = e2) % 21.19/5.76 | % 21.19/5.76 | Simplifying 551 yields: % 21.19/5.76 | (552) ~ (all_0_30_30 = e2) % 21.19/5.76 | % 21.19/5.76 | Equations (534) can reduce 44 to: % 21.19/5.76 | (553) ~ (all_0_38_38 = e2) % 21.19/5.76 | % 21.19/5.76 | Simplifying 553 yields: % 21.19/5.76 | (554) ~ (all_0_38_38 = e2) % 21.19/5.76 | % 21.19/5.76 +-Applying beta-rule and splitting (61), into two cases. % 21.19/5.76 |-Branch one: % 21.19/5.76 | (489) all_0_38_38 = e3 % 21.19/5.76 | % 21.19/5.76 | Equations (489) can reduce 15 to: % 21.19/5.76 | (556) ~ (all_0_30_30 = e3) % 21.19/5.76 | % 21.19/5.76 +-Applying beta-rule and splitting (542), into two cases. % 21.19/5.76 |-Branch one: % 21.19/5.76 | (557) all_0_30_30 = e0 % 21.19/5.76 | % 21.19/5.76 | Equations (557) can reduce 313 to: % 21.19/5.76 | (188) $false % 21.19/5.76 | % 21.19/5.76 |-The branch is then unsatisfiable % 21.19/5.76 |-Branch two: % 21.19/5.76 | (313) ~ (all_0_30_30 = e0) % 21.19/5.76 | (560) all_0_34_34 = e0 | all_0_38_38 = e0 % 21.19/5.76 | % 21.19/5.76 +-Applying beta-rule and splitting (34), into two cases. % 21.19/5.76 |-Branch one: % 21.19/5.76 | (561) all_0_30_30 = e3 % 21.19/5.76 | % 21.19/5.76 | Equations (561) can reduce 556 to: % 21.19/5.76 | (188) $false % 21.19/5.76 | % 21.19/5.76 |-The branch is then unsatisfiable % 21.19/5.76 |-Branch two: % 21.19/5.76 | (556) ~ (all_0_30_30 = e3) % 21.19/5.76 | (564) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0 % 21.19/5.76 | % 21.19/5.76 +-Applying beta-rule and splitting (564), into two cases. % 21.19/5.76 |-Branch one: % 21.19/5.76 | (565) all_0_30_30 = e2 % 21.19/5.76 | % 21.19/5.76 | Equations (565) can reduce 552 to: % 21.19/5.76 | (188) $false % 21.19/5.76 | % 21.19/5.76 |-The branch is then unsatisfiable % 21.19/5.76 |-Branch two: % 21.19/5.76 | (552) ~ (all_0_30_30 = e2) % 21.19/5.76 | (568) all_0_30_30 = e1 | all_0_30_30 = e0 % 21.19/5.76 | % 21.19/5.76 +-Applying beta-rule and splitting (568), into two cases. % 21.19/5.76 |-Branch one: % 21.19/5.76 | (525) all_0_30_30 = e1 % 21.19/5.76 | % 21.19/5.76 | Equations (525) can reduce 258 to: % 21.19/5.76 | (188) $false % 21.19/5.76 | % 21.19/5.76 |-The branch is then unsatisfiable % 21.19/5.76 |-Branch two: % 21.19/5.76 | (258) ~ (all_0_30_30 = e1) % 21.19/5.76 | (557) all_0_30_30 = e0 % 21.19/5.76 | % 21.19/5.76 | Equations (557) can reduce 313 to: % 21.19/5.76 | (188) $false % 21.19/5.76 | % 21.19/5.76 |-The branch is then unsatisfiable % 21.19/5.76 |-Branch two: % 21.19/5.76 | (499) ~ (all_0_38_38 = e3) % 21.19/5.76 | (575) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0 % 21.19/5.76 | % 21.19/5.76 +-Applying beta-rule and splitting (575), into two cases. % 21.19/5.76 |-Branch one: % 21.19/5.76 | (576) all_0_38_38 = e2 % 21.19/5.76 | % 21.19/5.76 | Equations (576) can reduce 554 to: % 21.19/5.76 | (188) $false % 21.19/5.76 | % 21.19/5.76 |-The branch is then unsatisfiable % 21.19/5.76 |-Branch two: % 21.19/5.76 | (554) ~ (all_0_38_38 = e2) % 21.19/5.76 | (579) all_0_38_38 = e1 | all_0_38_38 = e0 % 21.19/5.76 | % 21.19/5.76 +-Applying beta-rule and splitting (579), into two cases. % 21.19/5.76 |-Branch one: % 21.19/5.76 | (506) all_0_38_38 = e1 % 21.19/5.76 | % 21.19/5.76 | Equations (506) can reduce 263 to: % 21.19/5.76 | (188) $false % 21.19/5.76 | % 21.19/5.76 |-The branch is then unsatisfiable % 21.19/5.76 |-Branch two: % 21.19/5.76 | (263) ~ (all_0_38_38 = e1) % 21.19/5.76 | (583) all_0_38_38 = e0 % 21.19/5.76 | % 21.19/5.76 | Equations (583) can reduce 204 to: % 21.19/5.76 | (188) $false % 21.19/5.76 | % 21.19/5.76 |-The branch is then unsatisfiable % 21.19/5.76 |-Branch two: % 21.19/5.76 | (538) ~ (all_0_26_26 = e2) % 21.19/5.76 | (586) all_0_26_26 = e1 | all_0_26_26 = e0 % 21.19/5.76 | % 21.19/5.76 +-Applying beta-rule and splitting (586), into two cases. % 21.19/5.76 |-Branch one: % 21.19/5.76 | (587) all_0_26_26 = e1 % 21.19/5.76 | % 21.19/5.76 | Equations (587) can reduce 257 to: % 21.19/5.76 | (188) $false % 21.19/5.76 | % 21.19/5.76 |-The branch is then unsatisfiable % 21.19/5.76 |-Branch two: % 21.19/5.76 | (257) ~ (all_0_26_26 = e1) % 21.19/5.76 | (321) all_0_26_26 = e0 % 21.19/5.76 | % 21.19/5.76 | Equations (321) can reduce 541 to: % 21.19/5.76 | (188) $false % 21.19/5.76 | % 21.19/5.76 |-The branch is then unsatisfiable % 21.19/5.76 |-Branch two: % 21.19/5.76 | (518) ~ (all_0_28_28 = e1) % 21.19/5.76 | (519) all_0_29_29 = e1 | all_0_30_30 = e1 | all_0_31_31 = e1 % 21.19/5.76 | % 21.19/5.76 +-Applying beta-rule and splitting (519), into two cases. % 21.19/5.76 |-Branch one: % 21.19/5.76 | (303) all_0_29_29 = e1 % 21.19/5.76 | % 21.19/5.76 | Combining equations (303,306) yields a new equation: % 21.19/5.76 | (510) e1 = e0 % 21.19/5.76 | % 21.19/5.76 | Simplifying 510 yields: % 21.19/5.76 | (379) e1 = e0 % 21.19/5.76 | % 21.19/5.76 | Equations (379) can reduce 153 to: % 21.19/5.76 | (188) $false % 21.19/5.76 | % 21.19/5.76 |-The branch is then unsatisfiable % 21.19/5.76 |-Branch two: % 21.19/5.76 | (183) ~ (all_0_29_29 = e1) % 21.19/5.76 | (524) all_0_30_30 = e1 | all_0_31_31 = e1 % 21.19/5.76 | % 21.19/5.76 +-Applying beta-rule and splitting (524), into two cases. % 21.19/5.76 |-Branch one: % 21.19/5.76 | (525) all_0_30_30 = e1 % 21.19/5.76 | % 21.19/5.76 | Equations (525) can reduce 258 to: % 21.19/5.76 | (188) $false % 21.19/5.76 | % 21.19/5.76 |-The branch is then unsatisfiable % 21.19/5.76 |-Branch two: % 21.19/5.76 | (258) ~ (all_0_30_30 = e1) % 21.19/5.76 | (483) all_0_31_31 = e1 % 21.19/5.76 | % 21.19/5.76 | Combining equations (309,483) yields a new equation: % 21.19/5.76 | (484) e2 = e1 % 21.19/5.76 | % 21.19/5.76 | Simplifying 484 yields: % 21.19/5.76 | (343) e2 = e1 % 21.19/5.76 | % 21.19/5.76 | Equations (343) can reduce 128 to: % 21.19/5.76 | (188) $false % 21.19/5.76 | % 21.19/5.76 |-The branch is then unsatisfiable % 21.19/5.77 |-Branch two: % 21.19/5.77 | (607) ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35) % 21.19/5.77 | % 21.19/5.77 | Applying alpha-rule on (607) yields: % 21.19/5.77 | (608) ~ (all_0_16_16 = all_0_32_32) % 21.19/5.77 | (609) ~ (all_0_17_17 = all_0_33_33) % 21.19/5.77 | (610) ~ (all_0_18_18 = all_0_34_34) % 21.19/5.77 | (611) ~ (all_0_19_19 = all_0_35_35) % 21.19/5.77 | % 21.19/5.77 | Equations (272,256) can reduce 610 to: % 21.19/5.77 | (188) $false % 21.19/5.77 | % 21.19/5.77 |-The branch is then unsatisfiable % 21.19/5.77 |-Branch two: % 21.19/5.77 | (613) ~ (all_0_20_20 = all_0_36_36) & ~ (all_0_21_21 = all_0_37_37) & ~ (all_0_22_22 = all_0_38_38) & ~ (all_0_23_23 = all_0_39_39) % 21.19/5.77 | % 21.19/5.77 | Applying alpha-rule on (613) yields: % 21.19/5.77 | (614) ~ (all_0_20_20 = all_0_36_36) % 21.19/5.77 | (615) ~ (all_0_21_21 = all_0_37_37) % 21.19/5.77 | (616) ~ (all_0_22_22 = all_0_38_38) % 21.19/5.77 | (617) ~ (all_0_23_23 = all_0_39_39) % 21.19/5.77 | % 21.19/5.77 | Equations (217,198) can reduce 617 to: % 21.19/5.77 | (188) $false % 21.19/5.77 | % 21.19/5.77 |-The branch is then unsatisfiable % 21.19/5.77 |-Branch two: % 21.19/5.77 | (619) ~ (all_0_34_34 = e1) % 21.19/5.77 | (620) all_0_34_34 = e0 % 21.19/5.77 | % 21.19/5.77 | Equations (620) can reduce 245 to: % 21.19/5.77 | (188) $false % 21.19/5.77 | % 21.19/5.77 |-The branch is then unsatisfiable % 21.19/5.77 |-Branch two: % 21.19/5.77 | (252) all_0_34_34 = e2 % 21.19/5.77 | (383) all_0_33_33 = e1 % 21.19/5.77 | % 21.19/5.77 | Equations (383) can reduce 114 to: % 21.19/5.77 | (345) ~ (all_0_25_25 = e1) % 21.19/5.77 | % 21.19/5.77 | Equations (252) can reduce 131 to: % 21.19/5.77 | (538) ~ (all_0_26_26 = e2) % 21.19/5.77 | % 21.19/5.77 | Equations (252) can reduce 139 to: % 21.19/5.77 | (552) ~ (all_0_30_30 = e2) % 21.19/5.77 | % 21.19/5.77 | Equations (252) can reduce 166 to: % 21.19/5.77 | (428) ~ (all_0_32_32 = e2) % 21.19/5.77 | % 21.19/5.77 | Equations (383) can reduce 106 to: % 21.19/5.77 | (260) ~ (all_0_35_35 = e1) % 21.19/5.77 | % 21.19/5.77 | Simplifying 260 yields: % 21.19/5.77 | (261) ~ (all_0_35_35 = e1) % 21.19/5.77 | % 21.19/5.77 | Equations (252) can reduce 49 to: % 21.19/5.77 | (318) ~ (all_0_35_35 = e2) % 21.19/5.77 | % 21.19/5.77 | Simplifying 318 yields: % 21.19/5.77 | (319) ~ (all_0_35_35 = e2) % 21.19/5.77 | % 21.19/5.77 | Equations (252) can reduce 105 to: % 21.19/5.77 | (553) ~ (all_0_38_38 = e2) % 21.19/5.77 | % 21.19/5.77 | Simplifying 553 yields: % 21.19/5.77 | (554) ~ (all_0_38_38 = e2) % 21.19/5.77 | % 21.19/5.77 | Equations (252) can reduce 245 to: % 21.19/5.77 | (87) ~ (e2 = e0) % 21.19/5.77 | % 21.19/5.77 | From (252)(252) and (28) follows: % 21.19/5.77 | (635) op(e2, e2) = all_0_3_3 % 21.19/5.77 | % 21.19/5.77 +-Applying beta-rule and splitting (80), into two cases. % 21.19/5.77 |-Branch one: % 21.19/5.77 | (363) all_0_25_25 = e3 % 21.19/5.77 | % 21.19/5.77 | Equations (363) can reduce 223 to: % 21.19/5.77 | (188) $false % 21.19/5.77 | % 21.19/5.77 |-The branch is then unsatisfiable % 21.19/5.77 |-Branch two: % 21.19/5.77 | (223) ~ (all_0_25_25 = e3) % 21.19/5.77 | (368) all_0_29_29 = e3 | all_0_33_33 = e3 | all_0_37_37 = e3 % 21.19/5.77 | % 21.19/5.77 +-Applying beta-rule and splitting (141), into two cases. % 21.19/5.77 |-Branch one: % 21.19/5.77 | (391) all_0_32_32 = e0 % 21.19/5.77 | % 21.19/5.77 | Equations (391) can reduce 95 to: % 21.19/5.77 | (311) ~ (all_0_28_28 = e0) % 21.19/5.77 | % 21.19/5.77 | Equations (391) can reduce 89 to: % 21.19/5.77 | (392) ~ (all_0_35_35 = e0) % 21.19/5.77 | % 21.19/5.77 | Simplifying 392 yields: % 21.19/5.77 | (201) ~ (all_0_35_35 = e0) % 21.19/5.77 | % 21.19/5.77 | Equations (391) can reduce 11 to: % 21.19/5.77 | (644) ~ (all_0_36_36 = e0) % 21.19/5.77 | % 21.19/5.77 | Simplifying 644 yields: % 21.19/5.77 | (202) ~ (all_0_36_36 = e0) % 21.19/5.77 | % 21.19/5.77 | Equations (391) can reduce 428 to: % 21.19/5.77 | (207) ~ (e2 = e0) % 21.19/5.77 | % 21.19/5.77 | Simplifying 207 yields: % 21.19/5.77 | (87) ~ (e2 = e0) % 21.19/5.77 | % 21.19/5.77 +-Applying beta-rule and splitting (179), into two cases. % 21.19/5.77 |-Branch one: % 21.19/5.77 | (358) all_0_35_35 = e3 % 21.19/5.77 | % 21.19/5.77 | Equations (358) can reduce 7 to: % 21.19/5.77 | (227) ~ (all_0_27_27 = e3) % 21.19/5.77 | % 21.19/5.77 | Equations (358) can reduce 147 to: % 21.19/5.77 | (419) ~ (all_0_31_31 = e3) % 21.19/5.77 | % 21.19/5.77 | Equations (358) can reduce 319 to: % 21.19/5.77 | (62) ~ (e3 = e2) % 21.19/5.77 | % 21.19/5.77 | Equations (358) can reduce 261 to: % 21.19/5.77 | (74) ~ (e3 = e1) % 21.19/5.77 | % 21.19/5.77 | From (358) and (88) follows: % 21.19/5.77 | (653) op(e1, e0) = e3 % 21.19/5.77 | % 21.19/5.77 +-Applying beta-rule and splitting (104), into two cases. % 21.19/5.77 |-Branch one: % 21.19/5.77 | (654) all_0_28_28 = e3 % 21.19/5.77 | % 21.19/5.77 | Equations (654) can reduce 229 to: % 21.19/5.77 | (188) $false % 21.19/5.77 | % 21.19/5.77 |-The branch is then unsatisfiable % 21.19/5.77 |-Branch two: % 21.19/5.77 | (229) ~ (all_0_28_28 = e3) % 21.19/5.77 | (657) all_0_29_29 = e3 | all_0_30_30 = e3 | all_0_31_31 = e3 % 21.19/5.77 | % 21.19/5.77 +-Applying beta-rule and splitting (657), into two cases. % 21.19/5.77 |-Branch one: % 21.19/5.77 | (287) all_0_29_29 = e3 % 21.19/5.77 | % 21.19/5.77 | Equations (287) can reduce 246 to: % 21.19/5.77 | (188) $false % 21.19/5.77 | % 21.19/5.77 |-The branch is then unsatisfiable % 21.19/5.77 |-Branch two: % 21.19/5.77 | (246) ~ (all_0_29_29 = e3) % 21.19/5.77 | (661) all_0_30_30 = e3 | all_0_31_31 = e3 % 21.19/5.77 | % 21.19/5.77 +-Applying beta-rule and splitting (368), into two cases. % 21.19/5.77 |-Branch one: % 21.19/5.77 | (287) all_0_29_29 = e3 % 21.19/5.77 | % 21.19/5.77 | Equations (287) can reduce 246 to: % 21.19/5.77 | (188) $false % 21.19/5.77 | % 21.19/5.77 |-The branch is then unsatisfiable % 21.19/5.77 |-Branch two: % 21.19/5.77 | (246) ~ (all_0_29_29 = e3) % 21.19/5.77 | (373) all_0_33_33 = e3 | all_0_37_37 = e3 % 21.19/5.77 | % 21.19/5.77 +-Applying beta-rule and splitting (373), into two cases. % 21.19/5.77 |-Branch one: % 21.19/5.77 | (374) all_0_33_33 = e3 % 21.19/5.77 | % 21.19/5.77 | Combining equations (383,374) yields a new equation: % 21.19/5.77 | (387) e3 = e1 % 21.19/5.77 | % 21.19/5.77 | Equations (387) can reduce 74 to: % 21.19/5.77 | (188) $false % 21.19/5.77 | % 21.19/5.77 |-The branch is then unsatisfiable % 21.19/5.77 |-Branch two: % 21.19/5.77 | (359) ~ (all_0_33_33 = e3) % 21.19/5.77 | (377) all_0_37_37 = e3 % 21.19/5.77 | % 21.19/5.77 | Equations (377) can reduce 31 to: % 21.19/5.77 | (223) ~ (all_0_25_25 = e3) % 21.19/5.77 | % 21.19/5.77 | Equations (377) can reduce 169 to: % 21.19/5.77 | (233) ~ (all_0_36_36 = e3) % 21.19/5.77 | % 21.19/5.77 | Equations (377) can reduce 63 to: % 21.19/5.77 | (673) ~ (all_0_38_38 = e3) % 21.19/5.77 | % 21.19/5.77 | Simplifying 673 yields: % 21.19/5.77 | (499) ~ (all_0_38_38 = e3) % 21.19/5.77 | % 21.19/5.77 | Equations (377) can reduce 203 to: % 21.19/5.77 | (79) ~ (e3 = e0) % 21.19/5.77 | % 21.19/5.77 +-Applying beta-rule and splitting (61), into two cases. % 21.19/5.77 |-Branch one: % 21.19/5.77 | (489) all_0_38_38 = e3 % 21.19/5.77 | % 21.19/5.77 | Equations (489) can reduce 499 to: % 21.19/5.77 | (188) $false % 21.19/5.77 | % 21.19/5.77 |-The branch is then unsatisfiable % 21.19/5.77 |-Branch two: % 21.19/5.77 | (499) ~ (all_0_38_38 = e3) % 21.19/5.77 | (575) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0 % 21.19/5.77 | % 21.19/5.77 +-Applying beta-rule and splitting (174), into two cases. % 21.19/5.77 |-Branch one: % 21.19/5.77 | (543) all_0_26_26 = e3 % 21.19/5.77 | % 21.19/5.77 | Equations (543) can reduce 225 to: % 21.19/5.77 | (188) $false % 21.19/5.77 | % 21.19/5.77 |-The branch is then unsatisfiable % 21.19/5.77 |-Branch two: % 21.19/5.77 | (225) ~ (all_0_26_26 = e3) % 21.19/5.77 | (683) all_0_30_30 = e3 | all_0_34_34 = e3 | all_0_38_38 = e3 % 21.19/5.77 | % 21.19/5.77 +-Applying beta-rule and splitting (575), into two cases. % 21.19/5.77 |-Branch one: % 21.19/5.77 | (576) all_0_38_38 = e2 % 21.19/5.77 | % 21.19/5.77 | Equations (576) can reduce 554 to: % 21.19/5.77 | (188) $false % 21.19/5.77 | % 21.56/5.77 |-The branch is then unsatisfiable % 21.56/5.77 |-Branch two: % 21.56/5.77 | (554) ~ (all_0_38_38 = e2) % 21.56/5.77 | (579) all_0_38_38 = e1 | all_0_38_38 = e0 % 21.56/5.77 | % 21.56/5.77 +-Applying beta-rule and splitting (579), into two cases. % 21.56/5.77 |-Branch one: % 21.56/5.77 | (506) all_0_38_38 = e1 % 21.56/5.77 | % 21.56/5.77 | Equations (506) can reduce 44 to: % 21.56/5.77 | (257) ~ (all_0_26_26 = e1) % 21.56/5.77 | % 21.56/5.77 | Equations (506) can reduce 23 to: % 21.56/5.77 | (352) ~ (all_0_36_36 = e1) % 21.56/5.77 | % 21.56/5.77 | Equations (506) can reduce 499 to: % 21.56/5.77 | (691) ~ (e3 = e1) % 21.56/5.77 | % 21.56/5.77 | Simplifying 691 yields: % 21.56/5.77 | (74) ~ (e3 = e1) % 21.56/5.77 | % 21.56/5.77 | Equations (506) can reduce 204 to: % 21.56/5.77 | (153) ~ (e1 = e0) % 21.56/5.77 | % 21.56/5.77 +-Applying beta-rule and splitting (113), into two cases. % 21.56/5.77 |-Branch one: % 21.56/5.77 | (694) all_0_24_24 = e1 % 21.56/5.77 | % 21.56/5.78 | Combining equations (221,694) yields a new equation: % 21.56/5.78 | (492) e3 = e1 % 21.56/5.78 | % 21.56/5.78 | Simplifying 492 yields: % 21.56/5.78 | (387) e3 = e1 % 21.56/5.78 | % 21.56/5.78 | Equations (387) can reduce 74 to: % 21.56/5.78 | (188) $false % 21.56/5.78 | % 21.56/5.78 |-The branch is then unsatisfiable % 21.56/5.78 |-Branch two: % 21.56/5.78 | (218) ~ (all_0_24_24 = e1) % 21.56/5.78 | (699) all_0_28_28 = e1 | all_0_32_32 = e1 | all_0_36_36 = e1 % 21.56/5.78 | % 21.56/5.78 +-Applying beta-rule and splitting (699), into two cases. % 21.56/5.78 |-Branch one: % 21.56/5.78 | (348) all_0_28_28 = e1 % 21.56/5.78 | % 21.56/5.78 | Equations (348) can reduce 118 to: % 21.56/5.78 | (701) ~ (all_0_29_29 = e1) % 21.56/5.78 | % 21.56/5.78 | Simplifying 701 yields: % 21.56/5.78 | (183) ~ (all_0_29_29 = e1) % 21.56/5.78 | % 21.56/5.78 | Equations (348) can reduce 52 to: % 21.56/5.78 | (351) ~ (all_0_36_36 = e1) % 21.56/5.78 | % 21.56/5.78 | Simplifying 351 yields: % 21.56/5.78 | (352) ~ (all_0_36_36 = e1) % 21.56/5.78 | % 21.56/5.78 | Equations (348) can reduce 229 to: % 21.56/5.78 | (691) ~ (e3 = e1) % 21.56/5.78 | % 21.56/5.78 | Simplifying 691 yields: % 21.56/5.78 | (74) ~ (e3 = e1) % 21.56/5.78 | % 21.56/5.78 | Equations (348) can reduce 311 to: % 21.56/5.78 | (153) ~ (e1 = e0) % 21.56/5.78 | % 21.56/5.78 +-Applying beta-rule and splitting (683), into two cases. % 21.56/5.78 |-Branch one: % 21.56/5.78 | (561) all_0_30_30 = e3 % 21.56/5.78 | % 21.56/5.78 | Equations (561) can reduce 151 to: % 21.56/5.78 | (225) ~ (all_0_26_26 = e3) % 21.56/5.78 | % 21.56/5.78 | Equations (561) can reduce 133 to: % 21.56/5.78 | (246) ~ (all_0_29_29 = e3) % 21.56/5.78 | % 21.56/5.78 | Equations (561) can reduce 168 to: % 21.56/5.78 | (711) ~ (all_0_31_31 = e3) % 21.56/5.78 | % 21.56/5.78 | Simplifying 711 yields: % 21.56/5.78 | (419) ~ (all_0_31_31 = e3) % 21.56/5.78 | % 21.56/5.78 | Equations (561) can reduce 552 to: % 21.56/5.78 | (62) ~ (e3 = e2) % 21.56/5.78 | % 21.56/5.78 +-Applying beta-rule and splitting (162), into two cases. % 21.56/5.78 |-Branch one: % 21.56/5.78 | (332) all_0_24_24 = e2 % 21.56/5.78 | % 21.56/5.78 | Combining equations (332,221) yields a new equation: % 21.56/5.78 | (333) e3 = e2 % 21.56/5.78 | % 21.56/5.78 | Equations (333) can reduce 62 to: % 21.56/5.78 | (188) $false % 21.56/5.78 | % 21.56/5.78 |-The branch is then unsatisfiable % 21.56/5.78 |-Branch two: % 21.56/5.78 | (219) ~ (all_0_24_24 = e2) % 21.56/5.78 | (718) all_0_28_28 = e2 | all_0_32_32 = e2 | all_0_36_36 = e2 % 21.56/5.78 | % 21.56/5.78 +-Applying beta-rule and splitting (134), into two cases. % 21.56/5.78 |-Branch one: % 21.56/5.78 | (354) all_0_27_27 = e1 % 21.56/5.78 | % 21.56/5.78 | Equations (354) can reduce 130 to: % 21.56/5.78 | (345) ~ (all_0_25_25 = e1) % 21.56/5.78 | % 21.56/5.78 | Equations (354) can reduce 18 to: % 21.56/5.78 | (257) ~ (all_0_26_26 = e1) % 21.56/5.78 | % 21.56/5.78 | Equations (354) can reduce 119 to: % 21.56/5.78 | (722) ~ (all_0_31_31 = e1) % 21.56/5.78 | % 21.56/5.78 | Simplifying 722 yields: % 21.56/5.78 | (487) ~ (all_0_31_31 = e1) % 21.56/5.78 | % 21.56/5.78 | Equations (354) can reduce 199 to: % 21.56/5.78 | (153) ~ (e1 = e0) % 21.56/5.78 | % 21.56/5.78 +-Applying beta-rule and splitting (56), into two cases. % 21.56/5.78 |-Branch one: % 21.56/5.78 | (321) all_0_26_26 = e0 % 21.56/5.78 | % 21.56/5.78 | Equations (321) can reduce 71 to: % 21.56/5.78 | (726) ~ (all_0_25_25 = e0) % 21.56/5.78 | % 21.56/5.78 | Equations (321) can reduce 225 to: % 21.56/5.78 | (205) ~ (e3 = e0) % 21.56/5.78 | % 21.56/5.78 | Simplifying 205 yields: % 21.56/5.78 | (79) ~ (e3 = e0) % 21.56/5.78 | % 21.56/5.78 | Equations (321) can reduce 257 to: % 21.56/5.78 | (209) ~ (e1 = e0) % 21.56/5.78 | % 21.56/5.78 | Simplifying 209 yields: % 21.56/5.78 | (153) ~ (e1 = e0) % 21.56/5.78 | % 21.56/5.78 | From (321) and (84) follows: % 21.56/5.78 | (731) op(e1, e0) = all_0_10_10 % 21.56/5.78 | % 21.56/5.78 +-Applying beta-rule and splitting (98), into two cases. % 21.56/5.78 |-Branch one: % 21.56/5.78 | (732) all_0_36_36 = e2 % 21.56/5.78 | % 21.56/5.78 | Equations (732) can reduce 233 to: % 21.56/5.78 | (340) ~ (e3 = e2) % 21.56/5.78 | % 21.56/5.78 | Simplifying 340 yields: % 21.56/5.78 | (62) ~ (e3 = e2) % 21.56/5.78 | % 21.56/5.78 | Equations (732) can reduce 352 to: % 21.56/5.78 | (128) ~ (e2 = e1) % 21.56/5.78 | % 21.56/5.78 | Equations (732) can reduce 202 to: % 21.56/5.78 | (87) ~ (e2 = e0) % 21.56/5.78 | % 21.56/5.78 +-Applying beta-rule and splitting (13), into two cases. % 21.56/5.78 |-Branch one: % 21.56/5.78 | (539) all_0_27_27 = e2 % 21.56/5.78 | % 21.56/5.78 | Combining equations (354,539) yields a new equation: % 21.56/5.78 | (343) e2 = e1 % 21.56/5.78 | % 21.56/5.78 | Equations (343) can reduce 128 to: % 21.56/5.78 | (188) $false % 21.56/5.78 | % 21.56/5.78 |-The branch is then unsatisfiable % 21.56/5.78 |-Branch two: % 21.56/5.78 | (310) ~ (all_0_27_27 = e2) % 21.56/5.78 | (741) all_0_31_31 = e2 | all_0_35_35 = e2 | all_0_39_39 = e2 % 21.56/5.78 | % 21.56/5.78 +-Applying beta-rule and splitting (741), into two cases. % 21.56/5.78 |-Branch one: % 21.56/5.78 | (309) all_0_31_31 = e2 % 21.56/5.78 | % 21.56/5.78 | Equations (309) can reduce 53 to: % 21.56/5.78 | (301) ~ (all_0_29_29 = e2) % 21.56/5.78 | % 21.56/5.78 | Equations (309) can reduce 419 to: % 21.56/5.78 | (340) ~ (e3 = e2) % 21.56/5.78 | % 21.56/5.78 | Simplifying 340 yields: % 21.59/5.78 | (62) ~ (e3 = e2) % 21.59/5.78 | % 21.59/5.78 | Equations (309) can reduce 487 to: % 21.59/5.78 | (128) ~ (e2 = e1) % 21.59/5.78 | % 21.59/5.78 +-Applying beta-rule and splitting (158), into two cases. % 21.59/5.78 |-Branch one: % 21.59/5.78 | (332) all_0_24_24 = e2 % 21.59/5.78 | % 21.59/5.78 | Combining equations (221,332) yields a new equation: % 21.59/5.78 | (364) e3 = e2 % 21.59/5.78 | % 21.59/5.78 | Simplifying 364 yields: % 21.59/5.78 | (333) e3 = e2 % 21.59/5.78 | % 21.59/5.78 | Equations (333) can reduce 62 to: % 21.59/5.78 | (188) $false % 21.59/5.78 | % 21.59/5.78 |-The branch is then unsatisfiable % 21.59/5.78 |-Branch two: % 21.59/5.78 | (219) ~ (all_0_24_24 = e2) % 21.59/5.78 | (336) all_0_25_25 = e2 | all_0_26_26 = e2 | all_0_27_27 = e2 % 21.59/5.78 | % 21.59/5.78 | Equations (221) can reduce 219 to: % 21.59/5.78 | (62) ~ (e3 = e2) % 21.59/5.78 | % 21.59/5.78 +-Applying beta-rule and splitting (85), into two cases. % 21.59/5.78 |-Branch one: % 21.59/5.78 | (337) all_0_25_25 = e2 % 21.59/5.78 | % 21.59/5.78 | Equations (337) can reduce 47 to: % 21.59/5.78 | (755) ~ (all_0_29_29 = e2) % 21.59/5.78 | % 21.59/5.78 | Simplifying 755 yields: % 21.59/5.78 | (301) ~ (all_0_29_29 = e2) % 21.59/5.78 | % 21.59/5.78 | Equations (337) can reduce 726 to: % 21.59/5.78 | (87) ~ (e2 = e0) % 21.59/5.78 | % 21.59/5.78 +-Applying beta-rule and splitting (94), into two cases. % 21.59/5.78 |-Branch one: % 21.59/5.78 | (758) all_0_25_25 = e0 % 21.59/5.78 | % 21.59/5.78 | Combining equations (758,337) yields a new equation: % 21.59/5.78 | (536) e2 = e0 % 21.59/5.78 | % 21.59/5.78 | Equations (536) can reduce 87 to: % 21.59/5.78 | (188) $false % 21.59/5.78 | % 21.59/5.78 |-The branch is then unsatisfiable % 21.59/5.78 |-Branch two: % 21.59/5.78 | (726) ~ (all_0_25_25 = e0) % 21.59/5.78 | (762) all_0_29_29 = e0 | all_0_33_33 = e0 | all_0_37_37 = e0 % 21.59/5.78 | % 21.59/5.78 +-Applying beta-rule and splitting (27), into two cases. % 21.59/5.78 |-Branch one: % 21.59/5.78 | (763) all_0_28_28 = e0 % 21.59/5.78 | % 21.59/5.78 | Combining equations (348,763) yields a new equation: % 21.59/5.78 | (510) e1 = e0 % 21.59/5.78 | % 21.59/5.78 | Simplifying 510 yields: % 21.59/5.78 | (379) e1 = e0 % 21.59/5.78 | % 21.59/5.78 | Equations (379) can reduce 153 to: % 21.59/5.78 | (188) $false % 21.59/5.78 | % 21.59/5.78 |-The branch is then unsatisfiable % 21.59/5.78 |-Branch two: % 21.59/5.78 | (311) ~ (all_0_28_28 = e0) % 21.59/5.78 | (768) all_0_29_29 = e0 | all_0_30_30 = e0 | all_0_31_31 = e0 % 21.59/5.78 | % 21.59/5.78 +-Applying beta-rule and splitting (78), into two cases. % 21.59/5.78 |-Branch one: % 21.59/5.78 | (287) all_0_29_29 = e3 % 21.59/5.78 | % 21.59/5.78 | Equations (287) can reduce 246 to: % 21.59/5.78 | (188) $false % 21.59/5.78 | % 21.59/5.78 |-The branch is then unsatisfiable % 21.59/5.78 |-Branch two: % 21.59/5.78 | (246) ~ (all_0_29_29 = e3) % 21.59/5.78 | (290) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0 % 21.59/5.78 | % 21.59/5.78 +-Applying beta-rule and splitting (762), into two cases. % 21.59/5.78 |-Branch one: % 21.59/5.78 | (306) all_0_29_29 = e0 % 21.59/5.78 | % 21.59/5.78 | From (306) and (178) follows: % 21.59/5.78 | (774) op(e2, e2) = e0 % 21.59/5.78 | % 21.59/5.78 | Instantiating formula (58) with e2, e2, e0, all_0_3_3 and discharging atoms op(e2, e2) = all_0_3_3, op(e2, e2) = e0, yields: % 21.59/5.78 | (775) all_0_3_3 = e0 % 21.59/5.78 | % 21.59/5.78 | Instantiating formula (58) with e1, e0, e3, all_0_10_10 and discharging atoms op(e1, e0) = all_0_10_10, op(e1, e0) = e3, yields: % 21.59/5.78 | (776) all_0_10_10 = e3 % 21.59/5.78 | % 21.59/5.78 | From (775) and (24) follows: % 21.59/5.78 | (777) op(e1, e0) = all_0_2_2 % 21.59/5.78 | % 21.59/5.78 | From (776) and (731) follows: % 21.59/5.79 | (653) op(e1, e0) = e3 % 21.59/5.79 | % 21.59/5.79 +-Applying beta-rule and splitting (12), into two cases. % 21.59/5.79 |-Branch one: % 21.59/5.79 | (779) ~ (all_0_2_2 = e3) % 21.59/5.79 | % 21.59/5.79 | Instantiating formula (58) with e1, e0, all_0_2_2, e3 and discharging atoms op(e1, e0) = all_0_2_2, op(e1, e0) = e3, yields: % 21.59/5.79 | (780) all_0_2_2 = e3 % 21.59/5.79 | % 21.59/5.79 | Equations (780) can reduce 779 to: % 21.59/5.79 | (188) $false % 21.59/5.79 | % 21.59/5.79 |-The branch is then unsatisfiable % 21.59/5.79 |-Branch two: % 21.59/5.79 | (780) all_0_2_2 = e3 % 21.59/5.79 | (783) ~ (all_0_3_3 = e0) | ~ (all_0_34_34 = e2) % 21.59/5.79 | % 21.59/5.79 +-Applying beta-rule and splitting (783), into two cases. % 21.59/5.79 |-Branch one: % 21.59/5.79 | (784) ~ (all_0_3_3 = e0) % 21.59/5.79 | % 21.59/5.79 | Equations (775) can reduce 784 to: % 21.59/5.79 | (188) $false % 21.59/5.79 | % 21.59/5.79 |-The branch is then unsatisfiable % 21.59/5.79 |-Branch two: % 21.59/5.79 | (775) all_0_3_3 = e0 % 21.59/5.79 | (247) ~ (all_0_34_34 = e2) % 21.59/5.79 | % 21.59/5.79 | Equations (252) can reduce 247 to: % 21.59/5.79 | (188) $false % 21.59/5.79 | % 21.59/5.79 |-The branch is then unsatisfiable % 21.59/5.79 |-Branch two: % 21.59/5.79 | (286) ~ (all_0_29_29 = e0) % 21.59/5.79 | (790) all_0_33_33 = e0 | all_0_37_37 = e0 % 21.59/5.79 | % 21.59/5.79 +-Applying beta-rule and splitting (290), into two cases. % 21.59/5.79 |-Branch one: % 21.59/5.79 | (291) all_0_29_29 = e2 % 21.59/5.79 | % 21.59/5.79 | Equations (291) can reduce 301 to: % 21.59/5.79 | (188) $false % 21.59/5.79 | % 21.59/5.79 |-The branch is then unsatisfiable % 21.59/5.79 |-Branch two: % 21.59/5.79 | (301) ~ (all_0_29_29 = e2) % 21.59/5.79 | (302) all_0_29_29 = e1 | all_0_29_29 = e0 % 21.59/5.79 | % 21.59/5.79 +-Applying beta-rule and splitting (768), into two cases. % 21.59/5.79 |-Branch one: % 21.59/5.79 | (306) all_0_29_29 = e0 % 21.59/5.79 | % 21.59/5.79 | Equations (306) can reduce 286 to: % 21.59/5.79 | (188) $false % 21.59/5.79 | % 21.59/5.79 |-The branch is then unsatisfiable % 21.59/5.79 |-Branch two: % 21.59/5.79 | (286) ~ (all_0_29_29 = e0) % 21.59/5.79 | (798) all_0_30_30 = e0 | all_0_31_31 = e0 % 21.59/5.79 | % 21.59/5.79 +-Applying beta-rule and splitting (302), into two cases. % 21.59/5.79 |-Branch one: % 21.59/5.79 | (303) all_0_29_29 = e1 % 21.59/5.79 | % 21.59/5.79 | Equations (303) can reduce 183 to: % 21.59/5.79 | (188) $false % 21.59/5.79 | % 21.59/5.79 |-The branch is then unsatisfiable % 21.59/5.79 |-Branch two: % 21.59/5.79 | (183) ~ (all_0_29_29 = e1) % 21.59/5.79 | (306) all_0_29_29 = e0 % 21.59/5.79 | % 21.59/5.79 | Equations (306) can reduce 286 to: % 21.59/5.79 | (188) $false % 21.59/5.79 | % 21.59/5.79 |-The branch is then unsatisfiable % 21.59/5.79 |-Branch two: % 21.59/5.79 | (532) ~ (all_0_25_25 = e2) % 21.59/5.79 | (805) all_0_29_29 = e2 | all_0_33_33 = e2 | all_0_37_37 = e2 % 21.59/5.79 | % 21.59/5.79 +-Applying beta-rule and splitting (805), into two cases. % 21.59/5.79 |-Branch one: % 21.59/5.79 | (291) all_0_29_29 = e2 % 21.59/5.79 | % 21.59/5.79 | Equations (291) can reduce 301 to: % 21.59/5.79 | (188) $false % 21.59/5.79 | % 21.59/5.79 |-The branch is then unsatisfiable % 21.59/5.79 |-Branch two: % 21.59/5.79 | (301) ~ (all_0_29_29 = e2) % 21.59/5.79 | (809) all_0_33_33 = e2 | all_0_37_37 = e2 % 21.59/5.79 | % 21.59/5.79 +-Applying beta-rule and splitting (809), into two cases. % 21.59/5.79 |-Branch one: % 21.59/5.79 | (810) all_0_33_33 = e2 % 21.59/5.79 | % 21.59/5.79 | Combining equations (383,810) yields a new equation: % 21.59/5.79 | (343) e2 = e1 % 21.59/5.79 | % 21.59/5.79 | Equations (343) can reduce 128 to: % 21.59/5.79 | (188) $false % 21.59/5.79 | % 21.59/5.79 |-The branch is then unsatisfiable % 21.59/5.79 |-Branch two: % 21.59/5.79 | (813) ~ (all_0_33_33 = e2) % 21.59/5.79 | (814) all_0_37_37 = e2 % 21.59/5.79 | % 21.59/5.79 | Combining equations (814,377) yields a new equation: % 21.59/5.79 | (333) e3 = e2 % 21.59/5.79 | % 21.59/5.79 | Equations (333) can reduce 62 to: % 21.59/5.79 | (188) $false % 21.59/5.79 | % 21.59/5.79 |-The branch is then unsatisfiable % 21.59/5.79 |-Branch two: % 21.59/5.79 | (817) ~ (all_0_31_31 = e2) % 21.59/5.79 | (818) all_0_35_35 = e2 | all_0_39_39 = e2 % 21.59/5.79 | % 21.59/5.79 +-Applying beta-rule and splitting (818), into two cases. % 21.59/5.79 |-Branch one: % 21.59/5.79 | (394) all_0_35_35 = e2 % 21.59/5.79 | % 21.59/5.79 | Combining equations (358,394) yields a new equation: % 21.59/5.79 | (364) e3 = e2 % 21.59/5.79 | % 21.59/5.79 | Simplifying 364 yields: % 21.59/5.79 | (333) e3 = e2 % 21.59/5.79 | % 21.59/5.79 | Equations (333) can reduce 62 to: % 21.59/5.79 | (188) $false % 21.59/5.79 | % 21.59/5.79 |-The branch is then unsatisfiable % 21.59/5.79 |-Branch two: % 21.59/5.79 | (319) ~ (all_0_35_35 = e2) % 21.59/5.79 | (191) all_0_39_39 = e2 % 21.59/5.79 | % 21.59/5.79 | Combining equations (191,198) yields a new equation: % 21.59/5.79 | (535) e2 = e0 % 21.59/5.79 | % 21.59/5.79 | Simplifying 535 yields: % 21.59/5.79 | (536) e2 = e0 % 21.59/5.79 | % 21.59/5.79 | Equations (536) can reduce 87 to: % 21.59/5.79 | (188) $false % 21.59/5.79 | % 21.59/5.79 |-The branch is then unsatisfiable % 21.59/5.79 |-Branch two: % 21.59/5.79 | (828) ~ (all_0_36_36 = e2) % 21.59/5.79 | (829) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2 % 21.59/5.79 | % 21.59/5.79 +-Applying beta-rule and splitting (94), into two cases. % 21.59/5.79 |-Branch one: % 21.59/5.79 | (758) all_0_25_25 = e0 % 21.59/5.79 | % 21.59/5.79 | Equations (758) can reduce 726 to: % 21.59/5.79 | (188) $false % 21.59/5.79 | % 21.59/5.79 |-The branch is then unsatisfiable % 21.59/5.79 |-Branch two: % 21.59/5.79 | (726) ~ (all_0_25_25 = e0) % 21.59/5.79 | (762) all_0_29_29 = e0 | all_0_33_33 = e0 | all_0_37_37 = e0 % 21.59/5.79 | % 21.59/5.79 +-Applying beta-rule and splitting (762), into two cases. % 21.59/5.79 |-Branch one: % 21.59/5.79 | (306) all_0_29_29 = e0 % 21.59/5.79 | % 21.59/5.79 | Equations (306) can reduce 47 to: % 21.59/5.79 | (726) ~ (all_0_25_25 = e0) % 21.59/5.79 | % 21.59/5.79 | Equations (306) can reduce 53 to: % 21.59/5.79 | (836) ~ (all_0_31_31 = e0) % 21.59/5.79 | % 21.59/5.79 | Simplifying 836 yields: % 21.59/5.79 | (200) ~ (all_0_31_31 = e0) % 21.59/5.79 | % 21.59/5.79 +-Applying beta-rule and splitting (29), into two cases. % 21.59/5.79 |-Branch one: % 21.59/5.79 | (286) ~ (all_0_29_29 = e0) % 21.59/5.79 | % 21.59/5.79 | Equations (306) can reduce 286 to: % 21.59/5.79 | (188) $false % 21.59/5.79 | % 21.59/5.79 |-The branch is then unsatisfiable % 21.59/5.79 |-Branch two: % 21.59/5.79 | (306) all_0_29_29 = e0 % 21.59/5.79 | (309) all_0_31_31 = e2 % 21.59/5.79 | % 21.59/5.79 | Equations (309) can reduce 419 to: % 21.59/5.79 | (340) ~ (e3 = e2) % 21.59/5.79 | % 21.59/5.79 | Simplifying 340 yields: % 21.59/5.79 | (62) ~ (e3 = e2) % 21.59/5.79 | % 21.59/5.79 | Equations (309) can reduce 487 to: % 21.59/5.79 | (128) ~ (e2 = e1) % 21.59/5.79 | % 21.59/5.79 | Equations (309) can reduce 200 to: % 21.59/5.79 | (87) ~ (e2 = e0) % 21.59/5.79 | % 21.59/5.79 +-Applying beta-rule and splitting (85), into two cases. % 21.59/5.79 |-Branch one: % 21.59/5.79 | (337) all_0_25_25 = e2 % 21.59/5.79 | % 21.59/5.79 | Equations (337) can reduce 345 to: % 21.59/5.79 | (128) ~ (e2 = e1) % 21.59/5.79 | % 21.59/5.79 | Equations (337) can reduce 726 to: % 21.59/5.79 | (87) ~ (e2 = e0) % 21.59/5.79 | % 21.59/5.79 +-Applying beta-rule and splitting (718), into two cases. % 21.59/5.79 |-Branch one: % 21.59/5.79 | (849) all_0_28_28 = e2 % 21.59/5.79 | % 21.59/5.79 | Combining equations (348,849) yields a new equation: % 21.59/5.79 | (343) e2 = e1 % 21.59/5.79 | % 21.59/5.79 | Equations (343) can reduce 128 to: % 21.59/5.79 | (188) $false % 21.59/5.79 | % 21.59/5.79 |-The branch is then unsatisfiable % 21.59/5.79 |-Branch two: % 21.59/5.79 | (852) ~ (all_0_28_28 = e2) % 21.59/5.80 | (853) all_0_32_32 = e2 | all_0_36_36 = e2 % 21.59/5.80 | % 21.59/5.80 +-Applying beta-rule and splitting (853), into two cases. % 21.59/5.80 |-Branch one: % 21.59/5.80 | (405) all_0_32_32 = e2 % 21.59/5.80 | % 21.59/5.80 | Combining equations (391,405) yields a new equation: % 21.59/5.80 | (536) e2 = e0 % 21.59/5.80 | % 21.59/5.80 | Equations (536) can reduce 87 to: % 21.59/5.80 | (188) $false % 21.59/5.80 | % 21.59/5.80 |-The branch is then unsatisfiable % 21.59/5.80 |-Branch two: % 21.59/5.80 | (428) ~ (all_0_32_32 = e2) % 21.59/5.80 | (732) all_0_36_36 = e2 % 21.59/5.80 | % 21.59/5.80 | Equations (732) can reduce 828 to: % 21.59/5.80 | (188) $false % 21.59/5.80 | % 21.59/5.80 |-The branch is then unsatisfiable % 21.59/5.80 |-Branch two: % 21.59/5.80 | (532) ~ (all_0_25_25 = e2) % 21.59/5.80 | (805) all_0_29_29 = e2 | all_0_33_33 = e2 | all_0_37_37 = e2 % 21.59/5.80 | % 21.59/5.80 +-Applying beta-rule and splitting (158), into two cases. % 21.59/5.80 |-Branch one: % 21.59/5.80 | (332) all_0_24_24 = e2 % 21.59/5.80 | % 21.59/5.80 | Combining equations (221,332) yields a new equation: % 21.59/5.80 | (364) e3 = e2 % 21.59/5.80 | % 21.59/5.80 | Simplifying 364 yields: % 21.59/5.80 | (333) e3 = e2 % 21.59/5.80 | % 21.59/5.80 | Equations (333) can reduce 62 to: % 21.59/5.80 | (188) $false % 21.59/5.80 | % 21.59/5.80 |-The branch is then unsatisfiable % 21.59/5.80 |-Branch two: % 21.59/5.80 | (219) ~ (all_0_24_24 = e2) % 21.59/5.80 | (336) all_0_25_25 = e2 | all_0_26_26 = e2 | all_0_27_27 = e2 % 21.59/5.80 | % 21.59/5.80 +-Applying beta-rule and splitting (336), into two cases. % 21.59/5.80 |-Branch one: % 21.59/5.80 | (337) all_0_25_25 = e2 % 21.59/5.80 | % 21.59/5.80 | Equations (337) can reduce 532 to: % 21.59/5.80 | (188) $false % 21.59/5.80 | % 21.59/5.80 |-The branch is then unsatisfiable % 21.59/5.80 |-Branch two: % 21.59/5.80 | (532) ~ (all_0_25_25 = e2) % 21.59/5.80 | (533) all_0_26_26 = e2 | all_0_27_27 = e2 % 21.59/5.80 | % 21.59/5.80 +-Applying beta-rule and splitting (533), into two cases. % 21.59/5.80 |-Branch one: % 21.59/5.80 | (534) all_0_26_26 = e2 % 21.59/5.80 | % 21.59/5.80 | Combining equations (534,321) yields a new equation: % 21.59/5.80 | (535) e2 = e0 % 21.59/5.80 | % 21.59/5.80 | Simplifying 535 yields: % 21.59/5.80 | (536) e2 = e0 % 21.59/5.80 | % 21.59/5.80 | Equations (536) can reduce 87 to: % 21.59/5.80 | (188) $false % 21.59/5.80 | % 21.59/5.80 |-The branch is then unsatisfiable % 21.59/5.80 |-Branch two: % 21.59/5.80 | (538) ~ (all_0_26_26 = e2) % 21.59/5.80 | (539) all_0_27_27 = e2 % 21.59/5.80 | % 21.59/5.80 | Combining equations (354,539) yields a new equation: % 21.59/5.80 | (343) e2 = e1 % 21.59/5.80 | % 21.59/5.80 | Equations (343) can reduce 128 to: % 21.59/5.80 | (188) $false % 21.59/5.80 | % 21.59/5.80 |-The branch is then unsatisfiable % 21.59/5.80 |-Branch two: % 21.59/5.80 | (286) ~ (all_0_29_29 = e0) % 21.59/5.80 | (790) all_0_33_33 = e0 | all_0_37_37 = e0 % 21.59/5.80 | % 21.59/5.80 +-Applying beta-rule and splitting (790), into two cases. % 21.59/5.80 |-Branch one: % 21.59/5.80 | (882) all_0_33_33 = e0 % 21.59/5.80 | % 21.59/5.80 | Combining equations (882,383) yields a new equation: % 21.59/5.80 | (379) e1 = e0 % 21.59/5.80 | % 21.59/5.80 | Equations (379) can reduce 153 to: % 21.59/5.80 | (188) $false % 21.59/5.80 | % 21.59/5.80 |-The branch is then unsatisfiable % 21.59/5.80 |-Branch two: % 21.59/5.80 | (885) ~ (all_0_33_33 = e0) % 21.59/5.80 | (886) all_0_37_37 = e0 % 21.59/5.80 | % 21.59/5.80 | Combining equations (377,886) yields a new equation: % 21.59/5.80 | (425) e3 = e0 % 21.59/5.80 | % 21.59/5.80 | Simplifying 425 yields: % 21.59/5.80 | (370) e3 = e0 % 21.59/5.80 | % 21.59/5.80 | Equations (370) can reduce 79 to: % 21.59/5.80 | (188) $false % 21.59/5.80 | % 21.59/5.80 |-The branch is then unsatisfiable % 21.59/5.80 |-Branch two: % 21.59/5.80 | (541) ~ (all_0_26_26 = e0) % 21.59/5.80 | (542) all_0_30_30 = e0 | all_0_34_34 = e0 | all_0_38_38 = e0 % 21.59/5.80 | % 21.59/5.80 +-Applying beta-rule and splitting (542), into two cases. % 21.59/5.80 |-Branch one: % 21.59/5.80 | (557) all_0_30_30 = e0 % 21.59/5.80 | % 21.59/5.80 | Combining equations (557,561) yields a new equation: % 21.59/5.80 | (370) e3 = e0 % 21.59/5.80 | % 21.59/5.80 | Equations (370) can reduce 79 to: % 21.59/5.80 | (188) $false % 21.59/5.80 | % 21.59/5.80 |-The branch is then unsatisfiable % 21.59/5.80 |-Branch two: % 21.59/5.80 | (313) ~ (all_0_30_30 = e0) % 21.59/5.80 | (560) all_0_34_34 = e0 | all_0_38_38 = e0 % 21.59/5.80 | % 21.59/5.80 +-Applying beta-rule and splitting (560), into two cases. % 21.59/5.80 |-Branch one: % 21.59/5.80 | (620) all_0_34_34 = e0 % 21.59/5.80 | % 21.59/5.80 | Combining equations (252,620) yields a new equation: % 21.59/5.80 | (535) e2 = e0 % 21.59/5.80 | % 21.59/5.80 | Simplifying 535 yields: % 21.59/5.80 | (536) e2 = e0 % 21.59/5.80 | % 21.59/5.80 | Equations (536) can reduce 87 to: % 21.59/5.80 | (188) $false % 21.59/5.80 | % 21.59/5.80 |-The branch is then unsatisfiable % 21.59/5.80 |-Branch two: % 21.59/5.80 | (245) ~ (all_0_34_34 = e0) % 21.59/5.80 | (583) all_0_38_38 = e0 % 21.59/5.80 | % 21.59/5.80 | Combining equations (506,583) yields a new equation: % 21.59/5.80 | (510) e1 = e0 % 21.59/5.80 | % 21.59/5.80 | Simplifying 510 yields: % 21.59/5.80 | (379) e1 = e0 % 21.59/5.80 | % 21.59/5.80 | Equations (379) can reduce 153 to: % 21.59/5.80 | (188) $false % 21.59/5.80 | % 21.59/5.80 |-The branch is then unsatisfiable % 21.59/5.80 |-Branch two: % 21.59/5.80 | (443) ~ (all_0_27_27 = e1) % 21.59/5.80 | (444) all_0_31_31 = e1 | all_0_35_35 = e1 | all_0_39_39 = e1 % 21.59/5.80 | % 21.59/5.80 +-Applying beta-rule and splitting (27), into two cases. % 21.59/5.80 |-Branch one: % 21.59/5.80 | (763) all_0_28_28 = e0 % 21.59/5.80 | % 21.59/5.80 | Combining equations (763,348) yields a new equation: % 21.59/5.80 | (379) e1 = e0 % 21.59/5.80 | % 21.59/5.80 | Equations (379) can reduce 153 to: % 21.59/5.80 | (188) $false % 21.59/5.80 | % 21.59/5.80 |-The branch is then unsatisfiable % 21.59/5.80 |-Branch two: % 21.59/5.80 | (311) ~ (all_0_28_28 = e0) % 21.59/5.80 | (768) all_0_29_29 = e0 | all_0_30_30 = e0 | all_0_31_31 = e0 % 21.59/5.80 | % 21.59/5.80 +-Applying beta-rule and splitting (768), into two cases. % 21.59/5.80 |-Branch one: % 21.59/5.80 | (306) all_0_29_29 = e0 % 21.59/5.80 | % 21.59/5.80 +-Applying beta-rule and splitting (29), into two cases. % 21.59/5.80 |-Branch one: % 21.59/5.80 | (286) ~ (all_0_29_29 = e0) % 21.59/5.80 | % 21.59/5.80 | Equations (306) can reduce 286 to: % 21.59/5.80 | (188) $false % 21.59/5.80 | % 21.59/5.80 |-The branch is then unsatisfiable % 21.59/5.80 |-Branch two: % 21.59/5.80 | (306) all_0_29_29 = e0 % 21.59/5.80 | (309) all_0_31_31 = e2 % 21.59/5.80 | % 21.59/5.80 | Equations (309) can reduce 119 to: % 21.68/5.80 | (310) ~ (all_0_27_27 = e2) % 21.68/5.80 | % 21.68/5.80 +-Applying beta-rule and splitting (96), into two cases. % 21.68/5.80 |-Branch one: % 21.68/5.80 | (328) all_0_27_27 = e3 % 21.68/5.80 | % 21.68/5.80 | Equations (328) can reduce 227 to: % 21.68/5.80 | (188) $false % 21.68/5.80 | % 21.68/5.80 |-The branch is then unsatisfiable % 21.68/5.80 |-Branch two: % 21.68/5.80 | (227) ~ (all_0_27_27 = e3) % 21.68/5.80 | (922) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0 % 21.68/5.80 | % 21.68/5.80 +-Applying beta-rule and splitting (922), into two cases. % 21.68/5.80 |-Branch one: % 21.68/5.80 | (539) all_0_27_27 = e2 % 21.68/5.80 | % 21.68/5.80 | Equations (539) can reduce 310 to: % 21.68/5.80 | (188) $false % 21.68/5.80 | % 21.68/5.80 |-The branch is then unsatisfiable % 21.68/5.80 |-Branch two: % 21.68/5.80 | (310) ~ (all_0_27_27 = e2) % 21.68/5.80 | (926) all_0_27_27 = e1 | all_0_27_27 = e0 % 21.68/5.80 | % 21.68/5.80 +-Applying beta-rule and splitting (926), into two cases. % 21.68/5.80 |-Branch one: % 21.68/5.80 | (354) all_0_27_27 = e1 % 21.68/5.80 | % 21.68/5.80 | Equations (354) can reduce 443 to: % 21.68/5.80 | (188) $false % 21.68/5.80 | % 21.68/5.80 |-The branch is then unsatisfiable % 21.68/5.80 |-Branch two: % 21.68/5.80 | (443) ~ (all_0_27_27 = e1) % 21.68/5.80 | (930) all_0_27_27 = e0 % 21.68/5.80 | % 21.68/5.80 | Equations (930) can reduce 199 to: % 21.68/5.80 | (188) $false % 21.68/5.80 | % 21.68/5.80 |-The branch is then unsatisfiable % 21.68/5.81 |-Branch two: % 21.68/5.81 | (286) ~ (all_0_29_29 = e0) % 21.68/5.81 | (798) all_0_30_30 = e0 | all_0_31_31 = e0 % 21.68/5.81 | % 21.68/5.81 +-Applying beta-rule and splitting (798), into two cases. % 21.68/5.81 |-Branch one: % 21.68/5.81 | (557) all_0_30_30 = e0 % 21.68/5.81 | % 21.68/5.81 | Combining equations (557,561) yields a new equation: % 21.68/5.81 | (370) e3 = e0 % 21.68/5.81 | % 21.68/5.81 | Equations (370) can reduce 79 to: % 21.68/5.81 | (188) $false % 21.68/5.81 | % 21.68/5.81 |-The branch is then unsatisfiable % 21.68/5.81 |-Branch two: % 21.68/5.81 | (313) ~ (all_0_30_30 = e0) % 21.68/5.81 | (938) all_0_31_31 = e0 % 21.68/5.81 | % 21.68/5.81 | Equations (938) can reduce 200 to: % 21.68/5.81 | (188) $false % 21.68/5.81 | % 21.68/5.81 |-The branch is then unsatisfiable % 21.68/5.81 |-Branch two: % 21.68/5.81 | (556) ~ (all_0_30_30 = e3) % 21.68/5.81 | (941) all_0_34_34 = e3 | all_0_38_38 = e3 % 21.68/5.81 | % 21.68/5.81 +-Applying beta-rule and splitting (126), into two cases. % 21.68/5.81 |-Branch one: % 21.68/5.81 | (694) all_0_24_24 = e1 % 21.68/5.81 | % 21.68/5.81 | Combining equations (694,221) yields a new equation: % 21.68/5.81 | (387) e3 = e1 % 21.68/5.81 | % 21.68/5.81 | Equations (387) can reduce 74 to: % 21.68/5.81 | (188) $false % 21.68/5.81 | % 21.68/5.81 |-The branch is then unsatisfiable % 21.68/5.81 |-Branch two: % 21.68/5.81 | (218) ~ (all_0_24_24 = e1) % 21.68/5.81 | (946) all_0_25_25 = e1 | all_0_26_26 = e1 | all_0_27_27 = e1 % 21.68/5.81 | % 21.68/5.81 +-Applying beta-rule and splitting (946), into two cases. % 21.68/5.81 |-Branch one: % 21.68/5.81 | (342) all_0_25_25 = e1 % 21.68/5.81 | % 21.68/5.81 | Equations (342) can reduce 345 to: % 21.68/5.81 | (188) $false % 21.68/5.81 | % 21.68/5.81 |-The branch is then unsatisfiable % 21.68/5.81 |-Branch two: % 21.68/5.81 | (345) ~ (all_0_25_25 = e1) % 21.68/5.81 | (950) all_0_26_26 = e1 | all_0_27_27 = e1 % 21.68/5.81 | % 21.68/5.81 +-Applying beta-rule and splitting (950), into two cases. % 21.68/5.81 |-Branch one: % 21.68/5.81 | (587) all_0_26_26 = e1 % 21.68/5.81 | % 21.68/5.81 | Equations (587) can reduce 257 to: % 21.68/5.81 | (188) $false % 21.68/5.81 | % 21.68/5.81 |-The branch is then unsatisfiable % 21.68/5.81 |-Branch two: % 21.68/5.81 | (257) ~ (all_0_26_26 = e1) % 21.68/5.81 | (354) all_0_27_27 = e1 % 21.68/5.81 | % 21.68/5.81 | Equations (354) can reduce 119 to: % 21.68/5.81 | (722) ~ (all_0_31_31 = e1) % 21.68/5.81 | % 21.68/5.81 | Simplifying 722 yields: % 21.68/5.81 | (487) ~ (all_0_31_31 = e1) % 21.68/5.81 | % 21.68/5.81 | Equations (354) can reduce 227 to: % 21.68/5.81 | (691) ~ (e3 = e1) % 21.68/5.81 | % 21.68/5.81 | Simplifying 691 yields: % 21.68/5.81 | (74) ~ (e3 = e1) % 21.68/5.81 | % 21.68/5.81 +-Applying beta-rule and splitting (158), into two cases. % 21.68/5.81 |-Branch one: % 21.68/5.81 | (332) all_0_24_24 = e2 % 21.68/5.81 | % 21.68/5.81 | Combining equations (332,221) yields a new equation: % 21.68/5.81 | (333) e3 = e2 % 21.68/5.81 | % 21.68/5.81 | Equations (333) can reduce 62 to: % 21.68/5.81 | (188) $false % 21.68/5.81 | % 21.68/5.81 |-The branch is then unsatisfiable % 21.68/5.81 |-Branch two: % 21.68/5.81 | (219) ~ (all_0_24_24 = e2) % 21.68/5.81 | (336) all_0_25_25 = e2 | all_0_26_26 = e2 | all_0_27_27 = e2 % 21.68/5.81 | % 21.68/5.81 +-Applying beta-rule and splitting (10), into two cases. % 21.68/5.81 |-Branch one: % 21.68/5.81 | (416) all_0_31_31 = e3 % 21.68/5.81 | % 21.68/5.81 | Equations (416) can reduce 419 to: % 21.68/5.81 | (188) $false % 21.68/5.81 | % 21.68/5.81 |-The branch is then unsatisfiable % 21.68/5.81 |-Branch two: % 21.68/5.81 | (419) ~ (all_0_31_31 = e3) % 21.68/5.81 | (967) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0 % 21.68/5.81 | % 21.68/5.81 +-Applying beta-rule and splitting (967), into two cases. % 21.68/5.81 |-Branch one: % 21.68/5.81 | (309) all_0_31_31 = e2 % 21.68/5.81 | % 21.68/5.81 | Equations (309) can reduce 487 to: % 21.68/5.81 | (128) ~ (e2 = e1) % 21.68/5.81 | % 21.68/5.81 +-Applying beta-rule and splitting (336), into two cases. % 21.68/5.81 |-Branch one: % 21.68/5.81 | (337) all_0_25_25 = e2 % 21.68/5.81 | % 21.68/5.81 | Equations (337) can reduce 223 to: % 21.68/5.81 | (340) ~ (e3 = e2) % 21.68/5.81 | % 21.68/5.81 | Simplifying 340 yields: % 21.68/5.81 | (62) ~ (e3 = e2) % 21.68/5.81 | % 21.68/5.81 +-Applying beta-rule and splitting (162), into two cases. % 21.68/5.81 |-Branch one: % 21.68/5.81 | (332) all_0_24_24 = e2 % 21.68/5.81 | % 21.68/5.81 | Combining equations (332,221) yields a new equation: % 21.68/5.81 | (333) e3 = e2 % 21.68/5.81 | % 21.68/5.81 | Equations (333) can reduce 62 to: % 21.68/5.81 | (188) $false % 21.68/5.81 | % 21.68/5.81 |-The branch is then unsatisfiable % 21.68/5.81 |-Branch two: % 21.68/5.81 | (219) ~ (all_0_24_24 = e2) % 21.68/5.81 | (718) all_0_28_28 = e2 | all_0_32_32 = e2 | all_0_36_36 = e2 % 21.68/5.81 | % 21.68/5.81 | Equations (221) can reduce 219 to: % 21.68/5.81 | (62) ~ (e3 = e2) % 21.68/5.81 | % 21.68/5.81 +-Applying beta-rule and splitting (941), into two cases. % 21.68/5.81 |-Branch one: % 21.68/5.81 | (248) all_0_34_34 = e3 % 21.68/5.81 | % 21.68/5.81 | Combining equations (252,248) yields a new equation: % 21.68/5.81 | (333) e3 = e2 % 21.68/5.81 | % 21.68/5.81 | Equations (333) can reduce 62 to: % 21.68/5.81 | (188) $false % 21.68/5.81 | % 21.68/5.81 |-The branch is then unsatisfiable % 21.68/5.81 |-Branch two: % 21.68/5.81 | (244) ~ (all_0_34_34 = e3) % 21.68/5.81 | (489) all_0_38_38 = e3 % 21.68/5.81 | % 21.68/5.81 | Combining equations (506,489) yields a new equation: % 21.68/5.81 | (387) e3 = e1 % 21.68/5.81 | % 21.68/5.81 | Equations (387) can reduce 74 to: % 21.68/5.81 | (188) $false % 21.68/5.81 | % 21.68/5.81 |-The branch is then unsatisfiable % 21.68/5.81 |-Branch two: % 21.68/5.81 | (532) ~ (all_0_25_25 = e2) % 21.68/5.81 | (533) all_0_26_26 = e2 | all_0_27_27 = e2 % 21.68/5.81 | % 21.68/5.81 +-Applying beta-rule and splitting (533), into two cases. % 21.68/5.81 |-Branch one: % 21.68/5.81 | (534) all_0_26_26 = e2 % 21.68/5.81 | % 21.68/5.81 | Equations (534) can reduce 538 to: % 21.68/5.81 | (188) $false % 21.68/5.81 | % 21.68/5.81 |-The branch is then unsatisfiable % 21.68/5.81 |-Branch two: % 21.68/5.81 | (538) ~ (all_0_26_26 = e2) % 21.68/5.81 | (539) all_0_27_27 = e2 % 21.68/5.81 | % 21.68/5.81 | Combining equations (539,354) yields a new equation: % 21.68/5.81 | (484) e2 = e1 % 21.68/5.81 | % 21.68/5.81 | Simplifying 484 yields: % 21.68/5.81 | (343) e2 = e1 % 21.68/5.81 | % 21.68/5.81 | Equations (343) can reduce 128 to: % 21.68/5.81 | (188) $false % 21.68/5.81 | % 21.68/5.81 |-The branch is then unsatisfiable % 21.68/5.81 |-Branch two: % 21.68/5.81 | (817) ~ (all_0_31_31 = e2) % 21.68/5.81 | (996) all_0_31_31 = e1 | all_0_31_31 = e0 % 21.68/5.81 | % 21.68/5.81 +-Applying beta-rule and splitting (996), into two cases. % 21.68/5.81 |-Branch one: % 21.68/5.81 | (483) all_0_31_31 = e1 % 21.68/5.81 | % 21.68/5.81 | Equations (483) can reduce 487 to: % 21.68/5.81 | (188) $false % 21.68/5.81 | % 21.68/5.81 |-The branch is then unsatisfiable % 21.68/5.81 |-Branch two: % 21.68/5.81 | (487) ~ (all_0_31_31 = e1) % 21.68/5.81 | (938) all_0_31_31 = e0 % 21.68/5.81 | % 21.68/5.81 | Equations (938) can reduce 200 to: % 21.68/5.81 | (188) $false % 21.68/5.81 | % 21.68/5.81 |-The branch is then unsatisfiable % 21.68/5.81 |-Branch two: % 21.68/5.81 | (518) ~ (all_0_28_28 = e1) % 21.68/5.82 | (1003) all_0_32_32 = e1 | all_0_36_36 = e1 % 21.68/5.82 | % 21.68/5.82 +-Applying beta-rule and splitting (1003), into two cases. % 21.68/5.82 |-Branch one: % 21.68/5.82 | (438) all_0_32_32 = e1 % 21.68/5.82 | % 21.68/5.82 | Combining equations (438,391) yields a new equation: % 21.68/5.82 | (510) e1 = e0 % 21.68/5.82 | % 21.68/5.82 | Simplifying 510 yields: % 21.68/5.82 | (379) e1 = e0 % 21.68/5.82 | % 21.68/5.82 | Equations (379) can reduce 153 to: % 21.68/5.82 | (188) $false % 21.68/5.82 | % 21.68/5.82 |-The branch is then unsatisfiable % 21.68/5.82 |-Branch two: % 21.68/5.82 | (350) ~ (all_0_32_32 = e1) % 21.68/5.82 | (445) all_0_36_36 = e1 % 21.68/5.82 | % 21.68/5.82 | Equations (445) can reduce 352 to: % 21.68/5.82 | (188) $false % 21.68/5.82 | % 21.68/5.82 |-The branch is then unsatisfiable % 21.68/5.82 |-Branch two: % 21.68/5.82 | (263) ~ (all_0_38_38 = e1) % 21.68/5.82 | (583) all_0_38_38 = e0 % 21.68/5.82 | % 21.68/5.82 | Equations (583) can reduce 204 to: % 21.68/5.82 | (188) $false % 21.68/5.82 | % 21.68/5.82 |-The branch is then unsatisfiable % 21.68/5.82 |-Branch two: % 21.68/5.82 | (389) ~ (all_0_35_35 = e3) % 21.68/5.82 | (390) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0 % 21.68/5.82 | % 21.68/5.82 +-Applying beta-rule and splitting (390), into two cases. % 21.68/5.82 |-Branch one: % 21.68/5.82 | (394) all_0_35_35 = e2 % 21.68/5.82 | % 21.68/5.82 | Equations (394) can reduce 319 to: % 21.68/5.82 | (188) $false % 21.68/5.82 | % 21.68/5.82 |-The branch is then unsatisfiable % 21.68/5.82 |-Branch two: % 21.68/5.82 | (319) ~ (all_0_35_35 = e2) % 21.68/5.82 | (397) all_0_35_35 = e1 | all_0_35_35 = e0 % 21.68/5.82 | % 21.68/5.82 +-Applying beta-rule and splitting (397), into two cases. % 21.68/5.82 |-Branch one: % 21.68/5.82 | (398) all_0_35_35 = e1 % 21.68/5.82 | % 21.68/5.82 | Equations (398) can reduce 261 to: % 21.68/5.82 | (188) $false % 21.68/5.82 | % 21.68/5.82 |-The branch is then unsatisfiable % 21.68/5.82 |-Branch two: % 21.68/5.82 | (261) ~ (all_0_35_35 = e1) % 21.68/5.82 | (401) all_0_35_35 = e0 % 21.68/5.82 | % 21.68/5.82 | Equations (401) can reduce 201 to: % 21.68/5.82 | (188) $false % 21.68/5.82 | % 21.68/5.82 |-The branch is then unsatisfiable % 21.68/5.82 |-Branch two: % 21.68/5.82 | (403) ~ (all_0_32_32 = e0) % 21.68/5.82 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 21.68/5.82 | % 21.68/5.82 +-Applying beta-rule and splitting (404), into two cases. % 21.68/5.82 |-Branch one: % 21.68/5.82 | (882) all_0_33_33 = e0 % 21.68/5.82 | % 21.68/5.82 | Combining equations (383,882) yields a new equation: % 21.75/5.82 | (510) e1 = e0 % 21.75/5.82 | % 21.75/5.82 | Simplifying 510 yields: % 21.75/5.82 | (379) e1 = e0 % 21.75/5.82 | % 21.75/5.82 | Equations (379) can reduce 153 to: % 21.75/5.82 | (188) $false % 21.75/5.82 | % 21.75/5.82 |-The branch is then unsatisfiable % 21.75/5.82 |-Branch two: % 21.75/5.82 | (885) ~ (all_0_33_33 = e0) % 21.75/5.82 | (1032) all_0_34_34 = e0 | all_0_35_35 = e0 % 21.75/5.82 | % 21.75/5.82 +-Applying beta-rule and splitting (1032), into two cases. % 21.75/5.82 |-Branch one: % 21.75/5.82 | (620) all_0_34_34 = e0 % 21.75/5.82 | % 21.75/5.82 | Combining equations (252,620) yields a new equation: % 21.75/5.82 | (535) e2 = e0 % 21.75/5.82 | % 21.75/5.82 | Simplifying 535 yields: % 21.75/5.82 | (536) e2 = e0 % 21.75/5.82 | % 21.75/5.82 | Equations (536) can reduce 87 to: % 21.75/5.82 | (188) $false % 21.75/5.82 | % 21.75/5.82 |-The branch is then unsatisfiable % 21.75/5.82 |-Branch two: % 21.75/5.82 | (245) ~ (all_0_34_34 = e0) % 21.75/5.82 | (401) all_0_35_35 = e0 % 21.75/5.82 | % 21.75/5.82 | Equations (401) can reduce 201 to: % 21.75/5.82 | (188) $false % 21.75/5.82 | % 21.75/5.82 |-The branch is then unsatisfiable % 21.75/5.82 |-Branch two: % 21.75/5.82 | (287) all_0_29_29 = e3 % 21.75/5.82 | (849) all_0_28_28 = e2 % 21.75/5.82 | % 21.75/5.82 | Equations (287) can reduce 47 to: % 21.75/5.82 | (223) ~ (all_0_25_25 = e3) % 21.75/5.82 | % 21.75/5.82 | Equations (849) can reduce 159 to: % 21.75/5.82 | (551) ~ (all_0_30_30 = e2) % 21.75/5.82 | % 21.75/5.82 | Simplifying 551 yields: % 21.75/5.82 | (552) ~ (all_0_30_30 = e2) % 21.75/5.82 | % 21.75/5.82 | Equations (849) can reduce 30 to: % 21.75/5.82 | (1045) ~ (all_0_31_31 = e2) % 21.75/5.82 | % 21.75/5.82 | Simplifying 1045 yields: % 21.75/5.82 | (817) ~ (all_0_31_31 = e2) % 21.75/5.82 | % 21.75/5.82 | Equations (849) can reduce 95 to: % 21.75/5.82 | (1047) ~ (all_0_32_32 = e2) % 21.75/5.82 | % 21.75/5.82 | Simplifying 1047 yields: % 21.75/5.82 | (428) ~ (all_0_32_32 = e2) % 21.75/5.82 | % 21.75/5.82 | Equations (849) can reduce 52 to: % 21.75/5.82 | (1049) ~ (all_0_36_36 = e2) % 21.75/5.82 | % 21.75/5.82 | Simplifying 1049 yields: % 21.75/5.82 | (828) ~ (all_0_36_36 = e2) % 21.75/5.82 | % 21.75/5.82 | Equations (849) can reduce 229 to: % 21.75/5.82 | (340) ~ (e3 = e2) % 21.75/5.82 | % 21.75/5.82 | Simplifying 340 yields: % 21.75/5.82 | (62) ~ (e3 = e2) % 21.75/5.82 | % 21.75/5.82 | Equations (287) can reduce 133 to: % 21.75/5.82 | (1053) ~ (all_0_30_30 = e3) % 21.75/5.82 | % 21.75/5.82 | Simplifying 1053 yields: % 21.75/5.82 | (556) ~ (all_0_30_30 = e3) % 21.75/5.82 | % 21.75/5.82 | Equations (287) can reduce 53 to: % 21.75/5.82 | (711) ~ (all_0_31_31 = e3) % 21.75/5.82 | % 21.75/5.82 | Simplifying 711 yields: % 21.75/5.82 | (419) ~ (all_0_31_31 = e3) % 21.75/5.82 | % 21.75/5.82 | From (287) and (178) follows: % 21.75/5.82 | (1057) op(e2, e2) = e3 % 21.75/5.82 | % 21.75/5.82 +-Applying beta-rule and splitting (27), into two cases. % 21.75/5.82 |-Branch one: % 21.75/5.82 | (763) all_0_28_28 = e0 % 21.75/5.82 | % 21.75/5.82 | Combining equations (849,763) yields a new equation: % 21.75/5.82 | (535) e2 = e0 % 21.75/5.82 | % 21.75/5.82 | Simplifying 535 yields: % 21.75/5.82 | (536) e2 = e0 % 21.75/5.82 | % 21.75/5.82 | Equations (536) can reduce 87 to: % 21.75/5.82 | (188) $false % 21.75/5.82 | % 21.75/5.82 |-The branch is then unsatisfiable % 21.75/5.82 |-Branch two: % 21.75/5.82 | (311) ~ (all_0_28_28 = e0) % 21.75/5.82 | (768) all_0_29_29 = e0 | all_0_30_30 = e0 | all_0_31_31 = e0 % 21.75/5.82 | % 21.75/5.82 +-Applying beta-rule and splitting (768), into two cases. % 21.75/5.82 |-Branch one: % 21.75/5.82 | (306) all_0_29_29 = e0 % 21.75/5.82 | % 21.75/5.82 | Combining equations (287,306) yields a new equation: % 21.75/5.82 | (425) e3 = e0 % 21.75/5.82 | % 21.75/5.82 | Simplifying 425 yields: % 21.75/5.82 | (370) e3 = e0 % 21.75/5.82 | % 21.75/5.82 | Equations (370) can reduce 79 to: % 21.75/5.82 | (188) $false % 21.75/5.82 | % 21.75/5.82 |-The branch is then unsatisfiable % 21.75/5.82 |-Branch two: % 21.75/5.82 | (286) ~ (all_0_29_29 = e0) % 21.75/5.82 | (798) all_0_30_30 = e0 | all_0_31_31 = e0 % 21.75/5.83 | % 21.75/5.83 +-Applying beta-rule and splitting (798), into two cases. % 21.75/5.83 |-Branch one: % 21.75/5.83 | (557) all_0_30_30 = e0 % 21.75/5.83 | % 21.75/5.83 | Equations (557) can reduce 151 to: % 21.75/5.83 | (541) ~ (all_0_26_26 = e0) % 21.75/5.83 | % 21.75/5.83 | Equations (557) can reduce 168 to: % 21.75/5.83 | (836) ~ (all_0_31_31 = e0) % 21.75/5.83 | % 21.75/5.83 | Simplifying 836 yields: % 21.75/5.83 | (200) ~ (all_0_31_31 = e0) % 21.75/5.83 | % 21.75/5.83 | Equations (557) can reduce 556 to: % 21.75/5.83 | (205) ~ (e3 = e0) % 21.75/5.83 | % 21.75/5.83 | Simplifying 205 yields: % 21.75/5.83 | (79) ~ (e3 = e0) % 21.75/5.83 | % 21.75/5.83 | Equations (557) can reduce 552 to: % 21.75/5.83 | (207) ~ (e2 = e0) % 21.75/5.83 | % 21.75/5.83 | Simplifying 207 yields: % 21.75/5.83 | (87) ~ (e2 = e0) % 21.75/5.83 | % 21.75/5.83 +-Applying beta-rule and splitting (107), into two cases. % 21.75/5.83 |-Branch one: % 21.75/5.83 | (454) all_0_36_36 = e3 % 21.75/5.83 | % 21.75/5.83 | Equations (454) can reduce 233 to: % 21.75/5.83 | (188) $false % 21.75/5.83 | % 21.75/5.83 |-The branch is then unsatisfiable % 21.75/5.83 |-Branch two: % 21.75/5.83 | (233) ~ (all_0_36_36 = e3) % 21.75/5.83 | (477) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3 % 21.75/5.83 | % 21.75/5.83 +-Applying beta-rule and splitting (66), into two cases. % 21.75/5.83 |-Branch one: % 21.75/5.83 | (1082) all_0_24_24 = e0 % 21.75/5.83 | % 21.75/5.83 | Combining equations (221,1082) yields a new equation: % 21.75/5.83 | (425) e3 = e0 % 21.75/5.83 | % 21.75/5.83 | Simplifying 425 yields: % 21.75/5.83 | (370) e3 = e0 % 21.75/5.83 | % 21.75/5.83 | Equations (370) can reduce 79 to: % 21.75/5.83 | (188) $false % 21.75/5.83 | % 21.75/5.83 |-The branch is then unsatisfiable % 21.75/5.83 |-Branch two: % 21.75/5.83 | (220) ~ (all_0_24_24 = e0) % 21.75/5.83 | (1087) all_0_25_25 = e0 | all_0_26_26 = e0 | all_0_27_27 = e0 % 21.75/5.83 | % 21.75/5.83 | Equations (221) can reduce 220 to: % 21.75/5.83 | (79) ~ (e3 = e0) % 21.75/5.83 | % 21.75/5.83 +-Applying beta-rule and splitting (55), into two cases. % 21.75/5.83 |-Branch one: % 21.75/5.83 | (328) all_0_27_27 = e3 % 21.75/5.83 | % 21.75/5.83 | Equations (328) can reduce 227 to: % 21.75/5.83 | (188) $false % 21.75/5.83 | % 21.75/5.83 |-The branch is then unsatisfiable % 21.75/5.83 |-Branch two: % 21.75/5.83 | (227) ~ (all_0_27_27 = e3) % 21.75/5.83 | (331) all_0_31_31 = e3 | all_0_35_35 = e3 | all_0_39_39 = e3 % 21.75/5.83 | % 21.75/5.83 +-Applying beta-rule and splitting (331), into two cases. % 21.75/5.83 |-Branch one: % 21.75/5.83 | (416) all_0_31_31 = e3 % 21.75/5.83 | % 21.75/5.83 | Equations (416) can reduce 419 to: % 21.75/5.83 | (188) $false % 21.75/5.83 | % 21.75/5.83 |-The branch is then unsatisfiable % 21.75/5.83 |-Branch two: % 21.75/5.83 | (419) ~ (all_0_31_31 = e3) % 21.75/5.83 | (420) all_0_35_35 = e3 | all_0_39_39 = e3 % 21.75/5.83 | % 21.75/5.83 +-Applying beta-rule and splitting (420), into two cases. % 21.75/5.83 |-Branch one: % 21.75/5.83 | (358) all_0_35_35 = e3 % 21.75/5.83 | % 21.75/5.83 | Equations (358) can reduce 147 to: % 21.75/5.83 | (419) ~ (all_0_31_31 = e3) % 21.75/5.83 | % 21.75/5.83 | Equations (358) can reduce 89 to: % 21.75/5.83 | (231) ~ (all_0_32_32 = e3) % 21.75/5.83 | % 21.75/5.83 | Equations (358) can reduce 49 to: % 21.75/5.83 | (244) ~ (all_0_34_34 = e3) % 21.75/5.83 | % 21.75/5.83 +-Applying beta-rule and splitting (1087), into two cases. % 21.75/5.83 |-Branch one: % 21.75/5.83 | (758) all_0_25_25 = e0 % 21.75/5.83 | % 21.75/5.83 | Equations (758) can reduce 130 to: % 21.75/5.83 | (322) ~ (all_0_27_27 = e0) % 21.75/5.83 | % 21.75/5.83 | Simplifying 322 yields: % 21.75/5.83 | (199) ~ (all_0_27_27 = e0) % 21.75/5.83 | % 21.75/5.83 | Equations (758) can reduce 223 to: % 21.75/5.83 | (205) ~ (e3 = e0) % 21.75/5.83 | % 21.75/5.83 | Simplifying 205 yields: % 21.75/5.83 | (79) ~ (e3 = e0) % 21.75/5.83 | % 21.75/5.83 +-Applying beta-rule and splitting (115), into two cases. % 21.75/5.83 |-Branch one: % 21.75/5.83 | (1082) all_0_24_24 = e0 % 21.75/5.83 | % 21.75/5.83 | Combining equations (221,1082) yields a new equation: % 21.75/5.83 | (425) e3 = e0 % 21.75/5.83 | % 21.75/5.83 | Simplifying 425 yields: % 21.75/5.83 | (370) e3 = e0 % 21.75/5.83 | % 21.75/5.83 | Equations (370) can reduce 79 to: % 21.75/5.83 | (188) $false % 21.75/5.83 | % 21.75/5.83 |-The branch is then unsatisfiable % 21.75/5.83 |-Branch two: % 21.75/5.83 | (220) ~ (all_0_24_24 = e0) % 21.75/5.83 | (1111) all_0_28_28 = e0 | all_0_32_32 = e0 | all_0_36_36 = e0 % 21.75/5.83 | % 21.75/5.83 +-Applying beta-rule and splitting (13), into two cases. % 21.75/5.83 |-Branch one: % 21.75/5.83 | (539) all_0_27_27 = e2 % 21.75/5.83 | % 21.75/5.83 | Equations (539) can reduce 199 to: % 21.75/5.83 | (87) ~ (e2 = e0) % 21.75/5.83 | % 21.75/5.83 +-Applying beta-rule and splitting (1111), into two cases. % 21.75/5.83 |-Branch one: % 21.75/5.83 | (763) all_0_28_28 = e0 % 21.75/5.83 | % 21.75/5.83 | Combining equations (849,763) yields a new equation: % 21.75/5.83 | (535) e2 = e0 % 21.75/5.83 | % 21.75/5.83 | Simplifying 535 yields: % 21.75/5.83 | (536) e2 = e0 % 21.75/5.83 | % 21.75/5.83 | Equations (536) can reduce 87 to: % 21.75/5.83 | (188) $false % 21.75/5.83 | % 21.75/5.83 |-The branch is then unsatisfiable % 21.75/5.83 |-Branch two: % 21.75/5.83 | (311) ~ (all_0_28_28 = e0) % 21.75/5.83 | (1119) all_0_32_32 = e0 | all_0_36_36 = e0 % 21.75/5.83 | % 21.75/5.83 +-Applying beta-rule and splitting (141), into two cases. % 21.75/5.83 |-Branch one: % 21.75/5.83 | (391) all_0_32_32 = e0 % 21.75/5.83 | % 21.75/5.83 | Equations (391) can reduce 166 to: % 21.75/5.83 | (1121) ~ (all_0_34_34 = e0) % 21.75/5.83 | % 21.75/5.83 | Simplifying 1121 yields: % 21.75/5.83 | (245) ~ (all_0_34_34 = e0) % 21.75/5.83 | % 21.75/5.83 | Equations (391) can reduce 11 to: % 21.75/5.83 | (644) ~ (all_0_36_36 = e0) % 21.75/5.83 | % 21.75/5.83 | Simplifying 644 yields: % 21.75/5.83 | (202) ~ (all_0_36_36 = e0) % 21.75/5.83 | % 21.75/5.83 | Equations (391) can reduce 231 to: % 21.75/5.83 | (205) ~ (e3 = e0) % 21.75/5.83 | % 21.75/5.83 | Simplifying 205 yields: % 21.75/5.83 | (79) ~ (e3 = e0) % 21.75/5.83 | % 21.75/5.83 | From (391) and (82) follows: % 21.75/5.83 | (1127) op(e1, e3) = e0 % 21.75/5.83 | % 21.75/5.83 +-Applying beta-rule and splitting (10), into two cases. % 21.75/5.83 |-Branch one: % 21.75/5.83 | (416) all_0_31_31 = e3 % 21.75/5.83 | % 21.75/5.83 | Equations (416) can reduce 419 to: % 21.75/5.83 | (188) $false % 21.75/5.83 | % 21.75/5.83 |-The branch is then unsatisfiable % 21.75/5.83 |-Branch two: % 21.75/5.83 | (419) ~ (all_0_31_31 = e3) % 21.75/5.83 | (967) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0 % 21.75/5.83 | % 21.75/5.83 +-Applying beta-rule and splitting (70), into two cases. % 21.75/5.83 |-Branch one: % 21.75/5.83 | (543) all_0_26_26 = e3 % 21.75/5.83 | % 21.75/5.83 | Equations (543) can reduce 225 to: % 21.75/5.83 | (188) $false % 21.75/5.83 | % 21.75/5.83 |-The branch is then unsatisfiable % 21.75/5.83 |-Branch two: % 21.75/5.83 | (225) ~ (all_0_26_26 = e3) % 21.75/5.83 | (546) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0 % 21.75/5.83 | % 21.75/5.83 +-Applying beta-rule and splitting (97), into two cases. % 21.75/5.83 |-Branch one: % 21.75/5.83 | (454) all_0_36_36 = e3 % 21.75/5.83 | % 21.75/5.83 | Equations (454) can reduce 233 to: % 21.75/5.83 | (188) $false % 21.75/5.83 | % 21.75/5.83 |-The branch is then unsatisfiable % 21.75/5.83 |-Branch two: % 21.75/5.83 | (233) ~ (all_0_36_36 = e3) % 21.75/5.83 | (457) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0 % 21.75/5.83 | % 21.75/5.83 +-Applying beta-rule and splitting (174), into two cases. % 21.75/5.83 |-Branch one: % 21.75/5.83 | (543) all_0_26_26 = e3 % 21.75/5.83 | % 21.75/5.83 | Equations (543) can reduce 225 to: % 21.75/5.83 | (188) $false % 21.75/5.83 | % 21.75/5.83 |-The branch is then unsatisfiable % 21.75/5.83 |-Branch two: % 21.75/5.83 | (225) ~ (all_0_26_26 = e3) % 21.75/5.83 | (683) all_0_30_30 = e3 | all_0_34_34 = e3 | all_0_38_38 = e3 % 21.75/5.83 | % 21.75/5.83 +-Applying beta-rule and splitting (457), into two cases. % 21.75/5.83 |-Branch one: % 21.75/5.83 | (732) all_0_36_36 = e2 % 21.75/5.83 | % 21.75/5.83 | Equations (732) can reduce 828 to: % 21.75/5.83 | (188) $false % 21.75/5.83 | % 21.75/5.83 |-The branch is then unsatisfiable % 21.75/5.83 |-Branch two: % 21.75/5.83 | (828) ~ (all_0_36_36 = e2) % 21.75/5.83 | (1147) all_0_36_36 = e1 | all_0_36_36 = e0 % 21.75/5.83 | % 21.75/5.83 +-Applying beta-rule and splitting (1147), into two cases. % 21.75/5.83 |-Branch one: % 21.75/5.83 | (445) all_0_36_36 = e1 % 21.75/5.83 | % 21.75/5.83 | Equations (445) can reduce 169 to: % 21.75/5.83 | (1149) ~ (all_0_37_37 = e1) % 21.75/5.83 | % 21.75/5.83 | Simplifying 1149 yields: % 21.75/5.83 | (504) ~ (all_0_37_37 = e1) % 21.75/5.83 | % 21.75/5.83 | Equations (445) can reduce 233 to: % 21.75/5.83 | (691) ~ (e3 = e1) % 21.75/5.83 | % 21.75/5.83 | Simplifying 691 yields: % 21.75/5.83 | (74) ~ (e3 = e1) % 21.75/5.83 | % 21.75/5.83 | Equations (445) can reduce 828 to: % 21.75/5.83 | (264) ~ (e2 = e1) % 21.75/5.83 | % 21.75/5.83 | Simplifying 264 yields: % 21.75/5.83 | (128) ~ (e2 = e1) % 21.75/5.83 | % 21.75/5.83 | Equations (445) can reduce 202 to: % 21.75/5.83 | (153) ~ (e1 = e0) % 21.75/5.83 | % 21.75/5.84 +-Applying beta-rule and splitting (22), into two cases. % 21.75/5.84 |-Branch one: % 21.75/5.84 | (342) all_0_25_25 = e1 % 21.75/5.84 | % 21.75/5.84 | Combining equations (342,758) yields a new equation: % 21.75/5.84 | (510) e1 = e0 % 21.75/5.84 | % 21.75/5.84 | Simplifying 510 yields: % 21.75/5.84 | (379) e1 = e0 % 21.75/5.84 | % 21.75/5.84 | Equations (379) can reduce 153 to: % 21.75/5.84 | (188) $false % 21.75/5.84 | % 21.75/5.84 |-The branch is then unsatisfiable % 21.75/5.84 |-Branch two: % 21.75/5.84 | (345) ~ (all_0_25_25 = e1) % 21.75/5.84 | (346) all_0_29_29 = e1 | all_0_33_33 = e1 | all_0_37_37 = e1 % 21.75/5.84 | % 21.75/5.84 | Equations (758) can reduce 345 to: % 21.75/5.84 | (209) ~ (e1 = e0) % 21.75/5.84 | % 21.75/5.84 | Simplifying 209 yields: % 21.75/5.84 | (153) ~ (e1 = e0) % 21.75/5.84 | % 21.75/5.84 +-Applying beta-rule and splitting (134), into two cases. % 21.75/5.84 |-Branch one: % 21.75/5.84 | (354) all_0_27_27 = e1 % 21.75/5.84 | % 21.75/5.84 | Combining equations (354,539) yields a new equation: % 21.75/5.84 | (343) e2 = e1 % 21.75/5.84 | % 21.75/5.84 | Equations (343) can reduce 128 to: % 21.75/5.84 | (188) $false % 21.75/5.84 | % 21.75/5.84 |-The branch is then unsatisfiable % 21.75/5.84 |-Branch two: % 21.75/5.84 | (443) ~ (all_0_27_27 = e1) % 21.75/5.84 | (444) all_0_31_31 = e1 | all_0_35_35 = e1 | all_0_39_39 = e1 % 21.75/5.84 | % 21.75/5.84 +-Applying beta-rule and splitting (444), into two cases. % 21.75/5.84 |-Branch one: % 21.75/5.84 | (483) all_0_31_31 = e1 % 21.75/5.84 | % 21.75/5.84 | Equations (483) can reduce 419 to: % 21.75/5.84 | (691) ~ (e3 = e1) % 21.75/5.84 | % 21.75/5.84 | Simplifying 691 yields: % 21.75/5.84 | (74) ~ (e3 = e1) % 21.75/5.84 | % 21.75/5.84 +-Applying beta-rule and splitting (683), into two cases. % 21.75/5.84 |-Branch one: % 21.75/5.84 | (561) all_0_30_30 = e3 % 21.75/5.84 | % 21.75/5.84 | Combining equations (557,561) yields a new equation: % 21.75/5.84 | (370) e3 = e0 % 21.75/5.84 | % 21.75/5.84 | Equations (370) can reduce 79 to: % 21.75/5.84 | (188) $false % 21.75/5.84 | % 21.75/5.84 |-The branch is then unsatisfiable % 21.75/5.84 |-Branch two: % 21.75/5.84 | (556) ~ (all_0_30_30 = e3) % 21.75/5.84 | (941) all_0_34_34 = e3 | all_0_38_38 = e3 % 21.75/5.84 | % 21.75/5.84 +-Applying beta-rule and splitting (346), into two cases. % 21.75/5.84 |-Branch one: % 21.75/5.84 | (303) all_0_29_29 = e1 % 21.75/5.84 | % 21.75/5.84 | Combining equations (287,303) yields a new equation: % 21.75/5.84 | (492) e3 = e1 % 21.75/5.84 | % 21.75/5.84 | Simplifying 492 yields: % 21.75/5.84 | (387) e3 = e1 % 21.75/5.84 | % 21.75/5.84 | Equations (387) can reduce 74 to: % 21.75/5.84 | (188) $false % 21.75/5.84 | % 21.75/5.84 |-The branch is then unsatisfiable % 21.75/5.84 |-Branch two: % 21.75/5.84 | (183) ~ (all_0_29_29 = e1) % 21.75/5.84 | (382) all_0_33_33 = e1 | all_0_37_37 = e1 % 21.75/5.84 | % 21.75/5.84 +-Applying beta-rule and splitting (941), into two cases. % 21.75/5.84 |-Branch one: % 21.75/5.84 | (248) all_0_34_34 = e3 % 21.75/5.84 | % 21.75/5.84 | Equations (248) can reduce 244 to: % 21.75/5.84 | (188) $false % 21.75/5.84 | % 21.75/5.84 |-The branch is then unsatisfiable % 21.75/5.84 |-Branch two: % 21.75/5.84 | (244) ~ (all_0_34_34 = e3) % 21.75/5.84 | (489) all_0_38_38 = e3 % 21.75/5.84 | % 21.75/5.84 | Equations (489) can reduce 105 to: % 21.75/5.84 | (244) ~ (all_0_34_34 = e3) % 21.75/5.84 | % 21.75/5.84 | From (489) and (152) follows: % 21.75/5.84 | (1188) op(e1, e3) = all_0_22_22 % 21.75/5.84 | % 21.75/5.84 +-Applying beta-rule and splitting (135), into two cases. % 21.75/5.84 |-Branch one: % 21.75/5.84 | (248) all_0_34_34 = e3 % 21.75/5.84 | % 21.75/5.84 | Equations (248) can reduce 244 to: % 21.75/5.84 | (188) $false % 21.75/5.84 | % 21.75/5.84 |-The branch is then unsatisfiable % 21.75/5.84 |-Branch two: % 21.75/5.84 | (244) ~ (all_0_34_34 = e3) % 21.75/5.84 | (251) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0 % 21.75/5.84 | % 21.75/5.84 +-Applying beta-rule and splitting (382), into two cases. % 21.75/5.84 |-Branch one: % 21.75/5.84 | (383) all_0_33_33 = e1 % 21.75/5.84 | % 21.75/5.84 | Equations (383) can reduce 20 to: % 21.75/5.84 | (1194) ~ (all_0_34_34 = e1) % 21.75/5.84 | % 21.75/5.84 | Simplifying 1194 yields: % 21.75/5.84 | (619) ~ (all_0_34_34 = e1) % 21.75/5.84 | % 21.75/5.84 +-Applying beta-rule and splitting (251), into two cases. % 21.75/5.84 |-Branch one: % 21.75/5.84 | (252) all_0_34_34 = e2 % 21.75/5.84 | % 21.75/5.84 | From (252)(252) and (28) follows: % 21.75/5.84 | (635) op(e2, e2) = all_0_3_3 % 21.75/5.84 | % 21.75/5.84 | Instantiating formula (58) with e2, e2, e3, all_0_3_3 and discharging atoms op(e2, e2) = all_0_3_3, op(e2, e2) = e3, yields: % 21.75/5.84 | (1198) all_0_3_3 = e3 % 21.75/5.84 | % 21.75/5.84 | Instantiating formula (58) with e1, e3, e0, all_0_22_22 and discharging atoms op(e1, e3) = all_0_22_22, op(e1, e3) = e0, yields: % 21.75/5.84 | (1199) all_0_22_22 = e0 % 21.75/5.84 | % 21.75/5.84 | From (1198) and (24) follows: % 21.75/5.84 | (1200) op(e1, e3) = all_0_2_2 % 21.75/5.84 | % 21.75/5.84 | From (1199) and (1188) follows: % 21.75/5.84 | (1127) op(e1, e3) = e0 % 21.75/5.84 | % 21.75/5.84 +-Applying beta-rule and splitting (25), into two cases. % 21.75/5.84 |-Branch one: % 21.75/5.84 | (1202) ~ (all_0_2_2 = e0) % 21.75/5.84 | % 21.75/5.84 | Instantiating formula (58) with e1, e3, all_0_2_2, e0 and discharging atoms op(e1, e3) = all_0_2_2, op(e1, e3) = e0, yields: % 21.75/5.84 | (1203) all_0_2_2 = e0 % 21.75/5.84 | % 21.75/5.84 | Equations (1203) can reduce 1202 to: % 21.75/5.84 | (188) $false % 21.75/5.84 | % 21.75/5.84 |-The branch is then unsatisfiable % 21.75/5.84 |-Branch two: % 21.75/5.84 | (1203) all_0_2_2 = e0 % 21.75/5.84 | (1206) ~ (all_0_3_3 = e3) | ~ (all_0_34_34 = e2) % 21.75/5.84 | % 21.75/5.84 +-Applying beta-rule and splitting (1206), into two cases. % 21.75/5.84 |-Branch one: % 21.75/5.84 | (1207) ~ (all_0_3_3 = e3) % 21.75/5.84 | % 21.75/5.84 | Equations (1198) can reduce 1207 to: % 21.75/5.84 | (188) $false % 21.75/5.84 | % 21.75/5.84 |-The branch is then unsatisfiable % 21.75/5.84 |-Branch two: % 21.75/5.84 | (1198) all_0_3_3 = e3 % 21.75/5.84 | (247) ~ (all_0_34_34 = e2) % 21.75/5.84 | % 21.75/5.84 | Equations (252) can reduce 247 to: % 21.75/5.84 | (188) $false % 21.75/5.84 | % 21.75/5.84 |-The branch is then unsatisfiable % 21.75/5.84 |-Branch two: % 21.75/5.84 | (247) ~ (all_0_34_34 = e2) % 21.75/5.84 | (255) all_0_34_34 = e1 | all_0_34_34 = e0 % 21.75/5.84 | % 21.75/5.84 +-Applying beta-rule and splitting (255), into two cases. % 21.75/5.84 |-Branch one: % 21.75/5.84 | (256) all_0_34_34 = e1 % 21.75/5.84 | % 21.75/5.84 | Equations (256) can reduce 619 to: % 21.75/5.84 | (188) $false % 21.75/5.84 | % 21.75/5.84 |-The branch is then unsatisfiable % 21.75/5.84 |-Branch two: % 21.75/5.84 | (619) ~ (all_0_34_34 = e1) % 21.75/5.84 | (620) all_0_34_34 = e0 % 21.75/5.84 | % 21.75/5.84 | Equations (620) can reduce 245 to: % 21.75/5.84 | (188) $false % 21.75/5.84 | % 21.75/5.84 |-The branch is then unsatisfiable % 21.75/5.84 |-Branch two: % 21.75/5.84 | (259) ~ (all_0_33_33 = e1) % 21.75/5.84 | (386) all_0_37_37 = e1 % 21.75/5.84 | % 21.75/5.84 | Equations (386) can reduce 504 to: % 21.75/5.84 | (188) $false % 21.75/5.84 | % 21.75/5.84 |-The branch is then unsatisfiable % 21.75/5.84 |-Branch two: % 21.75/5.84 | (487) ~ (all_0_31_31 = e1) % 21.75/5.84 | (488) all_0_35_35 = e1 | all_0_39_39 = e1 % 21.75/5.84 | % 21.75/5.84 +-Applying beta-rule and splitting (488), into two cases. % 21.75/5.84 |-Branch one: % 21.75/5.84 | (398) all_0_35_35 = e1 % 21.75/5.84 | % 21.75/5.84 | Combining equations (398,358) yields a new equation: % 21.75/5.84 | (387) e3 = e1 % 21.75/5.84 | % 21.75/5.85 | Equations (387) can reduce 74 to: % 21.75/5.85 | (188) $false % 21.75/5.85 | % 21.75/5.85 |-The branch is then unsatisfiable % 21.75/5.85 |-Branch two: % 21.75/5.85 | (261) ~ (all_0_35_35 = e1) % 21.75/5.85 | (195) all_0_39_39 = e1 % 21.75/5.85 | % 21.75/5.85 | Combining equations (198,195) yields a new equation: % 21.75/5.85 | (379) e1 = e0 % 21.75/5.85 | % 21.75/5.85 | Equations (379) can reduce 153 to: % 21.75/5.85 | (188) $false % 21.75/5.85 | % 21.75/5.85 |-The branch is then unsatisfiable % 21.75/5.85 |-Branch two: % 21.75/5.85 | (352) ~ (all_0_36_36 = e1) % 21.75/5.85 | (1232) all_0_36_36 = e0 % 21.75/5.85 | % 21.75/5.85 | Equations (1232) can reduce 202 to: % 21.75/5.85 | (188) $false % 21.75/5.85 | % 21.75/5.85 |-The branch is then unsatisfiable % 21.75/5.85 |-Branch two: % 21.75/5.85 | (403) ~ (all_0_32_32 = e0) % 21.75/5.85 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 21.75/5.85 | % 21.75/5.85 +-Applying beta-rule and splitting (1119), into two cases. % 21.75/5.85 |-Branch one: % 21.75/5.85 | (391) all_0_32_32 = e0 % 21.75/5.85 | % 21.75/5.85 | Equations (391) can reduce 403 to: % 21.75/5.85 | (188) $false % 21.75/5.85 | % 21.75/5.85 |-The branch is then unsatisfiable % 21.75/5.85 |-Branch two: % 21.75/5.85 | (403) ~ (all_0_32_32 = e0) % 21.75/5.85 | (1232) all_0_36_36 = e0 % 21.75/5.85 | % 21.75/5.85 | Equations (1232) can reduce 202 to: % 21.75/5.85 | (188) $false % 21.75/5.85 | % 21.75/5.85 |-The branch is then unsatisfiable % 21.75/5.85 |-Branch two: % 21.75/5.85 | (310) ~ (all_0_27_27 = e2) % 21.75/5.85 | (741) all_0_31_31 = e2 | all_0_35_35 = e2 | all_0_39_39 = e2 % 21.75/5.85 | % 21.75/5.85 +-Applying beta-rule and splitting (10), into two cases. % 21.75/5.85 |-Branch one: % 21.75/5.85 | (416) all_0_31_31 = e3 % 21.75/5.85 | % 21.75/5.85 | Equations (416) can reduce 419 to: % 21.75/5.85 | (188) $false % 21.75/5.85 | % 21.75/5.85 |-The branch is then unsatisfiable % 21.75/5.85 |-Branch two: % 21.75/5.85 | (419) ~ (all_0_31_31 = e3) % 21.75/5.85 | (967) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0 % 21.75/5.85 | % 21.75/5.85 +-Applying beta-rule and splitting (158), into two cases. % 21.75/5.85 |-Branch one: % 21.75/5.85 | (332) all_0_24_24 = e2 % 21.75/5.85 | % 21.75/5.85 | Combining equations (221,332) yields a new equation: % 21.75/5.85 | (364) e3 = e2 % 21.75/5.85 | % 21.75/5.85 | Simplifying 364 yields: % 21.75/5.85 | (333) e3 = e2 % 21.75/5.85 | % 21.75/5.85 | Equations (333) can reduce 62 to: % 21.75/5.85 | (188) $false % 21.75/5.85 | % 21.75/5.85 |-The branch is then unsatisfiable % 21.75/5.85 |-Branch two: % 21.75/5.85 | (219) ~ (all_0_24_24 = e2) % 21.75/5.85 | (336) all_0_25_25 = e2 | all_0_26_26 = e2 | all_0_27_27 = e2 % 21.75/5.85 | % 21.75/5.85 +-Applying beta-rule and splitting (967), into two cases. % 21.75/5.85 |-Branch one: % 21.75/5.85 | (309) all_0_31_31 = e2 % 21.75/5.85 | % 21.75/5.85 | Equations (309) can reduce 817 to: % 21.75/5.85 | (188) $false % 21.75/5.85 | % 21.75/5.85 |-The branch is then unsatisfiable % 21.75/5.85 |-Branch two: % 21.75/5.85 | (817) ~ (all_0_31_31 = e2) % 21.75/5.85 | (996) all_0_31_31 = e1 | all_0_31_31 = e0 % 21.75/5.85 | % 21.75/5.85 +-Applying beta-rule and splitting (996), into two cases. % 21.75/5.85 |-Branch one: % 21.75/5.85 | (483) all_0_31_31 = e1 % 21.75/5.85 | % 21.75/5.85 | Equations (483) can reduce 119 to: % 21.75/5.85 | (443) ~ (all_0_27_27 = e1) % 21.75/5.85 | % 21.75/5.85 | Equations (483) can reduce 419 to: % 21.75/5.85 | (691) ~ (e3 = e1) % 21.75/5.85 | % 21.75/5.85 | Simplifying 691 yields: % 21.75/5.85 | (74) ~ (e3 = e1) % 21.75/5.85 | % 21.75/5.85 | Equations (483) can reduce 817 to: % 21.75/5.85 | (264) ~ (e2 = e1) % 21.75/5.85 | % 21.75/5.85 | Simplifying 264 yields: % 21.75/5.85 | (128) ~ (e2 = e1) % 21.75/5.85 | % 21.75/5.85 | Equations (483) can reduce 200 to: % 21.75/5.85 | (153) ~ (e1 = e0) % 21.75/5.85 | % 21.75/5.85 +-Applying beta-rule and splitting (141), into two cases. % 21.75/5.85 |-Branch one: % 21.75/5.85 | (391) all_0_32_32 = e0 % 21.75/5.85 | % 21.75/5.85 | Equations (391) can reduce 428 to: % 21.75/5.85 | (207) ~ (e2 = e0) % 21.75/5.85 | % 21.75/5.85 | Simplifying 207 yields: % 21.75/5.85 | (87) ~ (e2 = e0) % 21.75/5.85 | % 21.75/5.85 +-Applying beta-rule and splitting (126), into two cases. % 21.75/5.85 |-Branch one: % 21.75/5.85 | (694) all_0_24_24 = e1 % 21.75/5.85 | % 21.75/5.85 | Combining equations (694,221) yields a new equation: % 21.75/5.85 | (387) e3 = e1 % 21.75/5.85 | % 21.75/5.85 | Equations (387) can reduce 74 to: % 21.75/5.85 | (188) $false % 21.75/5.85 | % 21.75/5.85 |-The branch is then unsatisfiable % 21.75/5.85 |-Branch two: % 21.75/5.85 | (218) ~ (all_0_24_24 = e1) % 21.75/5.85 | (946) all_0_25_25 = e1 | all_0_26_26 = e1 | all_0_27_27 = e1 % 21.75/5.85 | % 21.75/5.85 +-Applying beta-rule and splitting (741), into two cases. % 21.75/5.85 |-Branch one: % 21.75/5.85 | (309) all_0_31_31 = e2 % 21.75/5.85 | % 21.75/5.85 | Combining equations (483,309) yields a new equation: % 21.75/5.85 | (343) e2 = e1 % 21.75/5.85 | % 21.75/5.85 | Equations (343) can reduce 128 to: % 21.75/5.85 | (188) $false % 21.75/5.85 | % 21.75/5.85 |-The branch is then unsatisfiable % 21.75/5.85 |-Branch two: % 21.75/5.85 | (817) ~ (all_0_31_31 = e2) % 21.75/5.85 | (818) all_0_35_35 = e2 | all_0_39_39 = e2 % 21.75/5.85 | % 21.75/5.85 | Equations (483) can reduce 817 to: % 21.75/5.85 | (264) ~ (e2 = e1) % 21.75/5.85 | % 21.75/5.85 | Simplifying 264 yields: % 21.75/5.85 | (128) ~ (e2 = e1) % 21.75/5.85 | % 21.75/5.85 +-Applying beta-rule and splitting (336), into two cases. % 21.75/5.85 |-Branch one: % 21.75/5.85 | (337) all_0_25_25 = e2 % 21.75/5.85 | % 21.75/5.85 | Combining equations (337,758) yields a new equation: % 21.75/5.85 | (535) e2 = e0 % 21.75/5.85 | % 21.75/5.85 | Simplifying 535 yields: % 21.75/5.85 | (536) e2 = e0 % 21.75/5.85 | % 21.75/5.85 | Equations (536) can reduce 87 to: % 21.75/5.85 | (188) $false % 21.75/5.85 | % 21.75/5.85 |-The branch is then unsatisfiable % 21.75/5.85 |-Branch two: % 21.75/5.85 | (532) ~ (all_0_25_25 = e2) % 21.75/5.85 | (533) all_0_26_26 = e2 | all_0_27_27 = e2 % 21.75/5.85 | % 21.75/5.85 +-Applying beta-rule and splitting (533), into two cases. % 21.75/5.85 |-Branch one: % 21.75/5.85 | (534) all_0_26_26 = e2 % 21.75/5.85 | % 21.75/5.85 +-Applying beta-rule and splitting (946), into two cases. % 21.75/5.85 |-Branch one: % 21.75/5.85 | (342) all_0_25_25 = e1 % 21.75/5.85 | % 21.75/5.85 | Combining equations (342,758) yields a new equation: % 21.75/5.85 | (510) e1 = e0 % 21.75/5.85 | % 21.75/5.85 | Simplifying 510 yields: % 21.75/5.85 | (379) e1 = e0 % 21.75/5.85 | % 21.75/5.85 | Equations (379) can reduce 153 to: % 21.75/5.85 | (188) $false % 21.75/5.85 | % 21.75/5.85 |-The branch is then unsatisfiable % 21.75/5.85 |-Branch two: % 21.75/5.85 | (345) ~ (all_0_25_25 = e1) % 21.75/5.85 | (950) all_0_26_26 = e1 | all_0_27_27 = e1 % 21.75/5.85 | % 21.75/5.85 +-Applying beta-rule and splitting (950), into two cases. % 21.75/5.85 |-Branch one: % 21.75/5.85 | (587) all_0_26_26 = e1 % 21.75/5.85 | % 21.75/5.85 | Combining equations (587,534) yields a new equation: % 21.75/5.85 | (343) e2 = e1 % 21.75/5.85 | % 21.75/5.85 | Equations (343) can reduce 128 to: % 21.75/5.85 | (188) $false % 21.75/5.85 | % 21.75/5.85 |-The branch is then unsatisfiable % 21.75/5.85 |-Branch two: % 21.75/5.85 | (257) ~ (all_0_26_26 = e1) % 21.75/5.85 | (354) all_0_27_27 = e1 % 21.75/5.85 | % 21.75/5.85 | Equations (354) can reduce 443 to: % 21.75/5.85 | (188) $false % 21.75/5.85 | % 21.75/5.85 |-The branch is then unsatisfiable % 21.75/5.85 |-Branch two: % 21.75/5.85 | (538) ~ (all_0_26_26 = e2) % 21.75/5.85 | (539) all_0_27_27 = e2 % 21.75/5.85 | % 21.75/5.85 | Equations (539) can reduce 310 to: % 21.75/5.85 | (188) $false % 21.75/5.85 | % 21.75/5.85 |-The branch is then unsatisfiable % 21.75/5.85 |-Branch two: % 21.75/5.85 | (403) ~ (all_0_32_32 = e0) % 21.75/5.86 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 21.75/5.86 | % 21.75/5.86 +-Applying beta-rule and splitting (1111), into two cases. % 21.75/5.86 |-Branch one: % 21.75/5.86 | (763) all_0_28_28 = e0 % 21.75/5.86 | % 21.75/5.86 | Combining equations (763,849) yields a new equation: % 21.75/5.86 | (536) e2 = e0 % 21.75/5.86 | % 21.75/5.86 | Equations (536) can reduce 87 to: % 21.75/5.86 | (188) $false % 21.75/5.86 | % 21.75/5.86 |-The branch is then unsatisfiable % 21.75/5.86 |-Branch two: % 21.75/5.86 | (311) ~ (all_0_28_28 = e0) % 21.75/5.86 | (1119) all_0_32_32 = e0 | all_0_36_36 = e0 % 21.75/5.86 | % 21.75/5.86 +-Applying beta-rule and splitting (1119), into two cases. % 21.75/5.86 |-Branch one: % 21.75/5.86 | (391) all_0_32_32 = e0 % 21.75/5.86 | % 21.75/5.86 | Equations (391) can reduce 403 to: % 21.75/5.86 | (188) $false % 21.75/5.86 | % 21.75/5.86 |-The branch is then unsatisfiable % 21.75/5.86 |-Branch two: % 21.75/5.86 | (403) ~ (all_0_32_32 = e0) % 21.75/5.86 | (1232) all_0_36_36 = e0 % 21.75/5.86 | % 21.75/5.86 | Equations (1232) can reduce 202 to: % 21.75/5.86 | (188) $false % 21.75/5.86 | % 21.75/5.86 |-The branch is then unsatisfiable % 21.75/5.86 |-Branch two: % 21.75/5.86 | (487) ~ (all_0_31_31 = e1) % 21.75/5.86 | (938) all_0_31_31 = e0 % 21.75/5.86 | % 21.75/5.86 | Equations (938) can reduce 200 to: % 21.75/5.86 | (188) $false % 21.75/5.86 | % 21.75/5.86 |-The branch is then unsatisfiable % 21.75/5.86 |-Branch two: % 21.75/5.86 | (726) ~ (all_0_25_25 = e0) % 21.75/5.86 | (1317) all_0_26_26 = e0 | all_0_27_27 = e0 % 21.75/5.86 | % 21.75/5.86 +-Applying beta-rule and splitting (1317), into two cases. % 21.75/5.86 |-Branch one: % 21.75/5.86 | (321) all_0_26_26 = e0 % 21.75/5.86 | % 21.75/5.86 | Equations (321) can reduce 541 to: % 21.75/5.86 | (188) $false % 21.75/5.86 | % 21.75/5.86 |-The branch is then unsatisfiable % 21.75/5.86 |-Branch two: % 21.75/5.86 | (541) ~ (all_0_26_26 = e0) % 21.75/5.86 | (930) all_0_27_27 = e0 % 21.75/5.86 | % 21.75/5.86 | Equations (930) can reduce 199 to: % 21.75/5.86 | (188) $false % 21.75/5.86 | % 21.75/5.86 |-The branch is then unsatisfiable % 21.75/5.86 |-Branch two: % 21.75/5.86 | (389) ~ (all_0_35_35 = e3) % 21.75/5.86 | (187) all_0_39_39 = e3 % 21.75/5.86 | % 21.75/5.86 | Combining equations (198,187) yields a new equation: % 21.75/5.86 | (370) e3 = e0 % 21.75/5.86 | % 21.75/5.86 | Equations (370) can reduce 79 to: % 21.75/5.86 | (188) $false % 21.75/5.86 | % 21.75/5.86 |-The branch is then unsatisfiable % 21.75/5.86 |-Branch two: % 21.75/5.86 | (313) ~ (all_0_30_30 = e0) % 21.75/5.86 | (938) all_0_31_31 = e0 % 21.75/5.86 | % 21.75/5.86 | Equations (938) can reduce 200 to: % 21.75/5.86 | (188) $false % 21.75/5.86 | % 21.75/5.86 |-The branch is then unsatisfiable % 21.75/5.86 |-Branch two: % 21.75/5.86 | (620) all_0_34_34 = e0 % 21.75/5.86 | (398) all_0_35_35 = e1 % 21.75/5.86 | % 21.75/5.86 | Equations (620) can reduce 131 to: % 21.75/5.86 | (541) ~ (all_0_26_26 = e0) % 21.75/5.86 | % 21.75/5.86 | Equations (398) can reduce 7 to: % 21.75/5.86 | (443) ~ (all_0_27_27 = e1) % 21.75/5.86 | % 21.75/5.86 | Equations (620) can reduce 139 to: % 21.75/5.86 | (313) ~ (all_0_30_30 = e0) % 21.75/5.86 | % 21.75/5.86 | Equations (398) can reduce 147 to: % 21.75/5.86 | (487) ~ (all_0_31_31 = e1) % 21.75/5.86 | % 21.75/5.86 | Equations (398) can reduce 89 to: % 21.75/5.86 | (350) ~ (all_0_32_32 = e1) % 21.75/5.86 | % 21.75/5.86 | Equations (620) can reduce 105 to: % 21.75/5.86 | (1337) ~ (all_0_38_38 = e0) % 21.75/5.86 | % 21.75/5.86 | Simplifying 1337 yields: % 21.75/5.86 | (204) ~ (all_0_38_38 = e0) % 21.75/5.86 | % 21.75/5.86 | Equations (620) can reduce 244 to: % 21.75/5.86 | (205) ~ (e3 = e0) % 21.75/5.86 | % 21.75/5.86 | Simplifying 205 yields: % 21.75/5.86 | (79) ~ (e3 = e0) % 21.75/5.86 | % 21.75/5.86 | Equations (398) can reduce 201 to: % 21.75/5.86 | (153) ~ (e1 = e0) % 21.75/5.86 | % 21.75/5.86 +-Applying beta-rule and splitting (96), into two cases. % 21.75/5.86 |-Branch one: % 21.75/5.86 | (328) all_0_27_27 = e3 % 21.75/5.86 | % 21.75/5.86 | Equations (328) can reduce 227 to: % 21.75/5.86 | (188) $false % 21.75/5.86 | % 21.75/5.86 |-The branch is then unsatisfiable % 21.75/5.86 |-Branch two: % 21.75/5.86 | (227) ~ (all_0_27_27 = e3) % 21.75/5.86 | (922) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0 % 21.75/5.86 | % 21.75/5.86 +-Applying beta-rule and splitting (66), into two cases. % 21.75/5.86 |-Branch one: % 21.75/5.86 | (1082) all_0_24_24 = e0 % 21.75/5.86 | % 21.75/5.86 | Combining equations (221,1082) yields a new equation: % 21.75/5.86 | (425) e3 = e0 % 21.75/5.86 | % 21.75/5.86 | Simplifying 425 yields: % 21.75/5.86 | (370) e3 = e0 % 21.75/5.86 | % 21.75/5.86 | Equations (370) can reduce 79 to: % 21.75/5.86 | (188) $false % 21.75/5.86 | % 21.75/5.86 |-The branch is then unsatisfiable % 21.75/5.86 |-Branch two: % 21.75/5.86 | (220) ~ (all_0_24_24 = e0) % 21.75/5.86 | (1087) all_0_25_25 = e0 | all_0_26_26 = e0 | all_0_27_27 = e0 % 21.75/5.86 | % 21.75/5.86 | Equations (221) can reduce 220 to: % 21.75/5.86 | (79) ~ (e3 = e0) % 21.75/5.86 | % 21.75/5.86 +-Applying beta-rule and splitting (115), into two cases. % 21.75/5.86 |-Branch one: % 21.75/5.86 | (1082) all_0_24_24 = e0 % 21.75/5.86 | % 21.75/5.86 | Combining equations (221,1082) yields a new equation: % 21.75/5.86 | (425) e3 = e0 % 21.75/5.86 | % 21.75/5.86 | Simplifying 425 yields: % 21.75/5.86 | (370) e3 = e0 % 21.75/5.86 | % 21.75/5.86 | Equations (370) can reduce 79 to: % 21.75/5.86 | (188) $false % 21.75/5.86 | % 21.75/5.86 |-The branch is then unsatisfiable % 21.75/5.86 |-Branch two: % 21.75/5.86 | (220) ~ (all_0_24_24 = e0) % 21.75/5.86 | (1111) all_0_28_28 = e0 | all_0_32_32 = e0 | all_0_36_36 = e0 % 21.75/5.86 | % 21.75/5.86 | Equations (221) can reduce 220 to: % 21.75/5.86 | (79) ~ (e3 = e0) % 21.75/5.86 | % 21.75/5.86 +-Applying beta-rule and splitting (55), into two cases. % 21.75/5.86 |-Branch one: % 21.75/5.86 | (328) all_0_27_27 = e3 % 21.75/5.86 | % 21.75/5.86 | Equations (328) can reduce 227 to: % 21.75/5.86 | (188) $false % 21.75/5.86 | % 21.75/5.86 |-The branch is then unsatisfiable % 21.75/5.86 |-Branch two: % 21.75/5.86 | (227) ~ (all_0_27_27 = e3) % 21.75/5.86 | (331) all_0_31_31 = e3 | all_0_35_35 = e3 | all_0_39_39 = e3 % 21.75/5.86 | % 21.75/5.86 +-Applying beta-rule and splitting (331), into two cases. % 21.75/5.86 |-Branch one: % 21.75/5.86 | (416) all_0_31_31 = e3 % 21.75/5.86 | % 21.75/5.86 | Equations (416) can reduce 53 to: % 21.75/5.86 | (246) ~ (all_0_29_29 = e3) % 21.75/5.86 | % 21.75/5.86 | Equations (416) can reduce 168 to: % 21.75/5.86 | (556) ~ (all_0_30_30 = e3) % 21.75/5.86 | % 21.75/5.86 | Equations (416) can reduce 487 to: % 21.75/5.86 | (74) ~ (e3 = e1) % 21.75/5.86 | % 21.75/5.86 | Equations (416) can reduce 200 to: % 21.75/5.86 | (79) ~ (e3 = e0) % 21.75/5.86 | % 21.75/5.86 +-Applying beta-rule and splitting (29), into two cases. % 21.75/5.86 |-Branch one: % 21.75/5.86 | (286) ~ (all_0_29_29 = e0) % 21.75/5.86 | % 21.75/5.86 +-Applying beta-rule and splitting (922), into two cases. % 21.75/5.86 |-Branch one: % 21.75/5.86 | (539) all_0_27_27 = e2 % 21.75/5.86 | % 21.75/5.86 | Equations (539) can reduce 130 to: % 21.75/5.86 | (532) ~ (all_0_25_25 = e2) % 21.75/5.87 | % 21.75/5.87 | Equations (539) can reduce 18 to: % 21.75/5.87 | (538) ~ (all_0_26_26 = e2) % 21.75/5.87 | % 21.75/5.87 +-Applying beta-rule and splitting (27), into two cases. % 21.75/5.87 |-Branch one: % 21.75/5.87 | (763) all_0_28_28 = e0 % 21.75/5.87 | % 21.75/5.87 | Equations (763) can reduce 159 to: % 21.75/5.87 | (312) ~ (all_0_30_30 = e0) % 21.75/5.87 | % 21.75/5.87 | Simplifying 312 yields: % 21.75/5.87 | (313) ~ (all_0_30_30 = e0) % 21.75/5.87 | % 21.75/5.87 | Equations (763) can reduce 95 to: % 21.75/5.87 | (1376) ~ (all_0_32_32 = e0) % 21.75/5.87 | % 21.75/5.87 | Simplifying 1376 yields: % 21.75/5.87 | (403) ~ (all_0_32_32 = e0) % 21.75/5.87 | % 21.75/5.87 | Equations (763) can reduce 52 to: % 21.75/5.87 | (644) ~ (all_0_36_36 = e0) % 21.75/5.87 | % 21.75/5.87 | Simplifying 644 yields: % 21.75/5.87 | (202) ~ (all_0_36_36 = e0) % 21.75/5.87 | % 21.75/5.87 +-Applying beta-rule and splitting (54), into two cases. % 21.75/5.87 |-Branch one: % 21.75/5.87 | (408) all_0_32_32 = e3 % 21.75/5.87 | % 21.75/5.87 | Equations (408) can reduce 231 to: % 21.75/5.87 | (188) $false % 21.75/5.87 | % 21.75/5.87 |-The branch is then unsatisfiable % 21.75/5.87 |-Branch two: % 21.75/5.87 | (231) ~ (all_0_32_32 = e3) % 21.75/5.87 | (413) all_0_33_33 = e3 | all_0_34_34 = e3 | all_0_35_35 = e3 % 21.75/5.87 | % 21.75/5.87 +-Applying beta-rule and splitting (413), into two cases. % 21.75/5.87 |-Branch one: % 21.75/5.87 | (374) all_0_33_33 = e3 % 21.75/5.87 | % 21.75/5.87 | Equations (374) can reduce 114 to: % 21.75/5.87 | (223) ~ (all_0_25_25 = e3) % 21.75/5.87 | % 21.75/5.87 | Equations (374) can reduce 108 to: % 21.75/5.87 | (246) ~ (all_0_29_29 = e3) % 21.75/5.87 | % 21.75/5.87 | Equations (374) can reduce 2 to: % 21.75/5.87 | (231) ~ (all_0_32_32 = e3) % 21.75/5.87 | % 21.75/5.87 | Equations (374) can reduce 182 to: % 21.75/5.87 | (1388) ~ (all_0_37_37 = e3) % 21.75/5.87 | % 21.75/5.87 | Simplifying 1388 yields: % 21.75/5.87 | (481) ~ (all_0_37_37 = e3) % 21.75/5.87 | % 21.75/5.87 +-Applying beta-rule and splitting (107), into two cases. % 21.75/5.87 |-Branch one: % 21.75/5.87 | (454) all_0_36_36 = e3 % 21.75/5.87 | % 21.75/5.87 | Equations (454) can reduce 233 to: % 21.75/5.87 | (188) $false % 21.75/5.87 | % 21.75/5.87 |-The branch is then unsatisfiable % 21.75/5.87 |-Branch two: % 21.75/5.87 | (233) ~ (all_0_36_36 = e3) % 21.75/5.87 | (477) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3 % 21.75/5.87 | % 21.75/5.87 +-Applying beta-rule and splitting (16), into two cases. % 21.75/5.87 |-Branch one: % 21.75/5.87 | (348) all_0_28_28 = e1 % 21.75/5.87 | % 21.75/5.87 | Combining equations (763,348) yields a new equation: % 21.75/5.87 | (379) e1 = e0 % 21.75/5.87 | % 21.75/5.87 | Equations (379) can reduce 153 to: % 21.75/5.87 | (188) $false % 21.75/5.87 | % 21.75/5.87 |-The branch is then unsatisfiable % 21.75/5.87 |-Branch two: % 21.75/5.87 | (518) ~ (all_0_28_28 = e1) % 21.75/5.87 | (519) all_0_29_29 = e1 | all_0_30_30 = e1 | all_0_31_31 = e1 % 21.75/5.87 | % 21.75/5.87 +-Applying beta-rule and splitting (477), into two cases. % 21.75/5.87 |-Branch one: % 21.75/5.87 | (377) all_0_37_37 = e3 % 21.75/5.87 | % 21.75/5.87 | Equations (377) can reduce 481 to: % 21.75/5.87 | (188) $false % 21.75/5.87 | % 21.75/5.87 |-The branch is then unsatisfiable % 21.75/5.87 |-Branch two: % 21.75/5.87 | (481) ~ (all_0_37_37 = e3) % 21.75/5.87 | (482) all_0_38_38 = e3 | all_0_39_39 = e3 % 21.75/5.87 | % 21.75/5.87 +-Applying beta-rule and splitting (124), into two cases. % 21.75/5.87 |-Branch one: % 21.75/5.87 | (408) all_0_32_32 = e3 % 21.75/5.87 | % 21.75/5.87 | Equations (408) can reduce 231 to: % 21.75/5.87 | (188) $false % 21.75/5.87 | % 21.75/5.87 |-The branch is then unsatisfiable % 21.75/5.87 |-Branch two: % 21.75/5.87 | (231) ~ (all_0_32_32 = e3) % 21.75/5.87 | (433) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0 % 21.75/5.87 | % 21.75/5.87 +-Applying beta-rule and splitting (433), into two cases. % 21.75/5.87 |-Branch one: % 21.75/5.87 | (405) all_0_32_32 = e2 % 21.75/5.87 | % 21.75/5.87 | Equations (405) can reduce 11 to: % 21.75/5.87 | (1049) ~ (all_0_36_36 = e2) % 21.75/5.87 | % 21.75/5.87 | Simplifying 1049 yields: % 21.75/5.87 | (828) ~ (all_0_36_36 = e2) % 21.75/5.87 | % 21.75/5.87 | Equations (405) can reduce 231 to: % 21.75/5.87 | (340) ~ (e3 = e2) % 21.75/5.87 | % 21.75/5.87 | Simplifying 340 yields: % 21.75/5.87 | (62) ~ (e3 = e2) % 21.75/5.87 | % 21.75/5.87 | Equations (405) can reduce 403 to: % 21.75/5.87 | (87) ~ (e2 = e0) % 21.75/5.87 | % 21.75/5.87 +-Applying beta-rule and splitting (94), into two cases. % 21.75/5.87 |-Branch one: % 21.75/5.87 | (758) all_0_25_25 = e0 % 21.75/5.87 | % 21.75/5.87 | Equations (758) can reduce 223 to: % 21.75/5.87 | (205) ~ (e3 = e0) % 21.75/5.87 | % 21.75/5.87 | Simplifying 205 yields: % 21.75/5.87 | (79) ~ (e3 = e0) % 21.75/5.87 | % 21.75/5.87 | Equations (758) can reduce 532 to: % 21.75/5.87 | (207) ~ (e2 = e0) % 21.75/5.87 | % 21.75/5.87 | Simplifying 207 yields: % 21.75/5.87 | (87) ~ (e2 = e0) % 21.75/5.87 | % 21.75/5.87 +-Applying beta-rule and splitting (519), into two cases. % 21.75/5.87 |-Branch one: % 21.75/5.87 | (303) all_0_29_29 = e1 % 21.75/5.87 | % 21.75/5.87 | Equations (303) can reduce 183 to: % 21.75/5.87 | (188) $false % 21.75/5.87 | % 21.75/5.87 |-The branch is then unsatisfiable % 21.75/5.87 |-Branch two: % 21.75/5.87 | (183) ~ (all_0_29_29 = e1) % 21.75/5.87 | (524) all_0_30_30 = e1 | all_0_31_31 = e1 % 21.75/5.87 | % 21.75/5.87 +-Applying beta-rule and splitting (97), into two cases. % 21.75/5.87 |-Branch one: % 21.75/5.87 | (454) all_0_36_36 = e3 % 21.75/5.87 | % 21.75/5.87 | Equations (454) can reduce 233 to: % 21.75/5.87 | (188) $false % 21.75/5.87 | % 21.75/5.87 |-The branch is then unsatisfiable % 21.75/5.87 |-Branch two: % 21.75/5.87 | (233) ~ (all_0_36_36 = e3) % 21.75/5.87 | (457) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0 % 21.75/5.87 | % 21.75/5.87 +-Applying beta-rule and splitting (457), into two cases. % 21.75/5.87 |-Branch one: % 21.75/5.87 | (732) all_0_36_36 = e2 % 21.75/5.87 | % 21.75/5.87 | Equations (732) can reduce 828 to: % 21.75/5.87 | (188) $false % 21.75/5.87 | % 21.75/5.87 |-The branch is then unsatisfiable % 21.75/5.87 |-Branch two: % 21.75/5.87 | (828) ~ (all_0_36_36 = e2) % 21.75/5.87 | (1147) all_0_36_36 = e1 | all_0_36_36 = e0 % 21.75/5.87 | % 21.75/5.87 +-Applying beta-rule and splitting (1147), into two cases. % 21.75/5.87 |-Branch one: % 21.75/5.87 | (445) all_0_36_36 = e1 % 21.75/5.87 | % 21.75/5.87 | Equations (445) can reduce 233 to: % 21.75/5.87 | (691) ~ (e3 = e1) % 21.75/5.87 | % 21.75/5.87 | Simplifying 691 yields: % 21.75/5.87 | (74) ~ (e3 = e1) % 21.75/5.87 | % 21.75/5.87 | Equations (445) can reduce 828 to: % 21.75/5.87 | (264) ~ (e2 = e1) % 21.75/5.87 | % 21.75/5.87 | Simplifying 264 yields: % 21.75/5.87 | (128) ~ (e2 = e1) % 21.75/5.87 | % 21.75/5.87 +-Applying beta-rule and splitting (524), into two cases. % 21.75/5.87 |-Branch one: % 21.75/5.87 | (525) all_0_30_30 = e1 % 21.75/5.87 | % 21.75/5.87 | Equations (525) can reduce 15 to: % 21.75/5.87 | (262) ~ (all_0_38_38 = e1) % 21.75/5.87 | % 21.75/5.87 | Simplifying 262 yields: % 21.75/5.87 | (263) ~ (all_0_38_38 = e1) % 21.75/5.87 | % 21.75/5.87 +-Applying beta-rule and splitting (6), into two cases. % 21.75/5.87 |-Branch one: % 21.75/5.87 | (534) all_0_26_26 = e2 % 21.75/5.87 | % 21.75/5.87 | Equations (534) can reduce 538 to: % 21.75/5.87 | (188) $false % 21.75/5.87 | % 21.75/5.87 |-The branch is then unsatisfiable % 21.75/5.87 |-Branch two: % 21.75/5.87 | (538) ~ (all_0_26_26 = e2) % 21.75/5.87 | (1441) all_0_30_30 = e2 | all_0_34_34 = e2 | all_0_38_38 = e2 % 21.75/5.87 | % 21.75/5.87 +-Applying beta-rule and splitting (77), into two cases. % 21.75/5.87 |-Branch one: % 21.75/5.87 | (849) all_0_28_28 = e2 % 21.75/5.87 | % 21.75/5.87 | Combining equations (849,763) yields a new equation: % 21.75/5.87 | (535) e2 = e0 % 21.75/5.87 | % 21.75/5.87 | Simplifying 535 yields: % 21.75/5.87 | (536) e2 = e0 % 21.75/5.87 | % 21.75/5.87 | Equations (536) can reduce 87 to: % 21.75/5.87 | (188) $false % 21.75/5.87 | % 21.75/5.87 |-The branch is then unsatisfiable % 21.75/5.87 |-Branch two: % 21.75/5.87 | (852) ~ (all_0_28_28 = e2) % 21.75/5.87 | (1447) all_0_29_29 = e2 | all_0_30_30 = e2 | all_0_31_31 = e2 % 21.75/5.87 | % 21.75/5.87 | Equations (763) can reduce 852 to: % 21.75/5.87 | (207) ~ (e2 = e0) % 21.75/5.87 | % 21.75/5.87 | Simplifying 207 yields: % 21.75/5.87 | (87) ~ (e2 = e0) % 21.75/5.87 | % 21.75/5.87 +-Applying beta-rule and splitting (1441), into two cases. % 21.75/5.87 |-Branch one: % 21.75/5.87 | (565) all_0_30_30 = e2 % 21.75/5.87 | % 21.75/5.87 | Combining equations (525,565) yields a new equation: % 21.75/5.87 | (343) e2 = e1 % 21.75/5.87 | % 21.75/5.87 | Equations (343) can reduce 128 to: % 21.75/5.87 | (188) $false % 21.75/5.87 | % 21.75/5.87 |-The branch is then unsatisfiable % 21.75/5.87 |-Branch two: % 21.75/5.87 | (552) ~ (all_0_30_30 = e2) % 21.75/5.87 | (1454) all_0_34_34 = e2 | all_0_38_38 = e2 % 21.75/5.87 | % 21.75/5.87 +-Applying beta-rule and splitting (1454), into two cases. % 21.75/5.87 |-Branch one: % 21.75/5.87 | (252) all_0_34_34 = e2 % 21.75/5.87 | % 21.75/5.87 | Combining equations (620,252) yields a new equation: % 21.75/5.87 | (536) e2 = e0 % 21.75/5.87 | % 21.75/5.88 | Equations (536) can reduce 87 to: % 21.75/5.88 | (188) $false % 21.75/5.88 | % 21.75/5.88 |-The branch is then unsatisfiable % 21.75/5.88 |-Branch two: % 21.75/5.88 | (247) ~ (all_0_34_34 = e2) % 21.75/5.88 | (576) all_0_38_38 = e2 % 21.75/5.88 | % 21.75/5.88 | Equations (576) can reduce 263 to: % 21.75/5.88 | (128) ~ (e2 = e1) % 21.75/5.88 | % 21.75/5.88 +-Applying beta-rule and splitting (1447), into two cases. % 21.75/5.88 |-Branch one: % 21.75/5.88 | (291) all_0_29_29 = e2 % 21.75/5.88 | % 21.75/5.88 | Equations (291) can reduce 246 to: % 21.75/5.88 | (340) ~ (e3 = e2) % 21.75/5.88 | % 21.75/5.88 | Simplifying 340 yields: % 21.75/5.88 | (62) ~ (e3 = e2) % 21.75/5.88 | % 21.75/5.88 +-Applying beta-rule and splitting (482), into two cases. % 21.75/5.88 |-Branch one: % 21.75/5.88 | (489) all_0_38_38 = e3 % 21.75/5.88 | % 21.75/5.88 | Combining equations (576,489) yields a new equation: % 21.75/5.88 | (333) e3 = e2 % 21.75/5.88 | % 21.75/5.88 | Equations (333) can reduce 62 to: % 21.75/5.88 | (188) $false % 21.75/5.88 | % 21.75/5.88 |-The branch is then unsatisfiable % 21.75/5.88 |-Branch two: % 21.75/5.88 | (499) ~ (all_0_38_38 = e3) % 21.75/5.88 | (187) all_0_39_39 = e3 % 21.75/5.88 | % 21.75/5.88 | Combining equations (187,198) yields a new equation: % 21.75/5.88 | (425) e3 = e0 % 21.75/5.88 | % 21.75/5.88 | Simplifying 425 yields: % 21.75/5.88 | (370) e3 = e0 % 21.75/5.88 | % 21.75/5.88 | Equations (370) can reduce 79 to: % 21.75/5.88 | (188) $false % 21.75/5.88 | % 21.75/5.88 |-The branch is then unsatisfiable % 21.75/5.88 |-Branch two: % 21.75/5.88 | (301) ~ (all_0_29_29 = e2) % 21.75/5.88 | (1473) all_0_30_30 = e2 | all_0_31_31 = e2 % 21.75/5.88 | % 21.75/5.88 +-Applying beta-rule and splitting (1473), into two cases. % 21.75/5.88 |-Branch one: % 21.75/5.88 | (565) all_0_30_30 = e2 % 21.75/5.88 | % 21.75/5.88 | Combining equations (525,565) yields a new equation: % 21.75/5.88 | (343) e2 = e1 % 21.75/5.88 | % 21.75/5.88 | Equations (343) can reduce 128 to: % 21.75/5.88 | (188) $false % 21.75/5.88 | % 21.75/5.88 |-The branch is then unsatisfiable % 21.75/5.88 |-Branch two: % 21.75/5.88 | (552) ~ (all_0_30_30 = e2) % 21.75/5.88 | (309) all_0_31_31 = e2 % 21.75/5.88 | % 21.75/5.88 | Combining equations (416,309) yields a new equation: % 21.75/5.88 | (364) e3 = e2 % 21.75/5.88 | % 21.75/5.88 | Simplifying 364 yields: % 21.75/5.88 | (333) e3 = e2 % 21.75/5.88 | % 21.75/5.88 | Equations (333) can reduce 62 to: % 21.75/5.88 | (188) $false % 21.75/5.88 | % 21.75/5.88 |-The branch is then unsatisfiable % 21.75/5.88 |-Branch two: % 21.75/5.88 | (258) ~ (all_0_30_30 = e1) % 21.75/5.88 | (483) all_0_31_31 = e1 % 21.75/5.88 | % 21.75/5.88 | Combining equations (416,483) yields a new equation: % 21.75/5.88 | (492) e3 = e1 % 21.75/5.88 | % 21.75/5.88 | Simplifying 492 yields: % 21.75/5.88 | (387) e3 = e1 % 21.75/5.88 | % 21.75/5.88 | Equations (387) can reduce 74 to: % 21.75/5.88 | (188) $false % 21.75/5.88 | % 21.75/5.88 |-The branch is then unsatisfiable % 21.75/5.88 |-Branch two: % 21.75/5.88 | (352) ~ (all_0_36_36 = e1) % 21.75/5.88 | (1232) all_0_36_36 = e0 % 21.75/5.88 | % 21.75/5.88 | Equations (1232) can reduce 202 to: % 21.75/5.88 | (188) $false % 21.75/5.88 | % 21.75/5.88 |-The branch is then unsatisfiable % 21.75/5.88 |-Branch two: % 21.75/5.88 | (726) ~ (all_0_25_25 = e0) % 21.75/5.88 | (762) all_0_29_29 = e0 | all_0_33_33 = e0 | all_0_37_37 = e0 % 21.75/5.88 | % 21.75/5.88 +-Applying beta-rule and splitting (1087), into two cases. % 21.75/5.88 |-Branch one: % 21.75/5.88 | (758) all_0_25_25 = e0 % 21.75/5.88 | % 21.75/5.88 | Equations (758) can reduce 726 to: % 21.75/5.88 | (188) $false % 21.75/5.88 | % 21.75/5.88 |-The branch is then unsatisfiable % 21.75/5.88 |-Branch two: % 21.75/5.88 | (726) ~ (all_0_25_25 = e0) % 21.75/5.88 | (1317) all_0_26_26 = e0 | all_0_27_27 = e0 % 21.75/5.88 | % 21.75/5.88 +-Applying beta-rule and splitting (1317), into two cases. % 21.75/5.88 |-Branch one: % 21.75/5.88 | (321) all_0_26_26 = e0 % 21.75/5.88 | % 21.75/5.88 | Equations (321) can reduce 541 to: % 21.75/5.88 | (188) $false % 21.75/5.88 | % 21.75/5.88 |-The branch is then unsatisfiable % 21.75/5.88 |-Branch two: % 21.75/5.88 | (541) ~ (all_0_26_26 = e0) % 21.75/5.88 | (930) all_0_27_27 = e0 % 21.75/5.88 | % 21.75/5.88 | Combining equations (930,539) yields a new equation: % 21.75/5.88 | (536) e2 = e0 % 21.75/5.88 | % 21.75/5.88 | Equations (536) can reduce 87 to: % 21.75/5.88 | (188) $false % 21.75/5.88 | % 21.75/5.88 |-The branch is then unsatisfiable % 21.75/5.88 |-Branch two: % 21.75/5.88 | (428) ~ (all_0_32_32 = e2) % 21.75/5.88 | (437) all_0_32_32 = e1 | all_0_32_32 = e0 % 21.75/5.88 | % 21.75/5.88 +-Applying beta-rule and splitting (437), into two cases. % 21.75/5.88 |-Branch one: % 21.75/5.88 | (438) all_0_32_32 = e1 % 21.75/5.88 | % 21.75/5.88 | Equations (438) can reduce 350 to: % 21.75/5.88 | (188) $false % 21.75/5.88 | % 21.75/5.88 |-The branch is then unsatisfiable % 21.75/5.88 |-Branch two: % 21.75/5.88 | (350) ~ (all_0_32_32 = e1) % 21.75/5.88 | (391) all_0_32_32 = e0 % 21.75/5.88 | % 21.75/5.88 | Equations (391) can reduce 403 to: % 21.75/5.88 | (188) $false % 21.75/5.88 | % 21.75/5.88 |-The branch is then unsatisfiable % 21.75/5.88 |-Branch two: % 21.75/5.88 | (359) ~ (all_0_33_33 = e3) % 21.75/5.88 | (1510) all_0_34_34 = e3 | all_0_35_35 = e3 % 21.75/5.88 | % 21.75/5.88 +-Applying beta-rule and splitting (80), into two cases. % 21.75/5.88 |-Branch one: % 21.75/5.88 | (363) all_0_25_25 = e3 % 21.75/5.88 | % 21.75/5.88 | Equations (363) can reduce 223 to: % 21.75/5.88 | (188) $false % 21.75/5.88 | % 21.75/5.88 |-The branch is then unsatisfiable % 21.75/5.88 |-Branch two: % 21.75/5.88 | (223) ~ (all_0_25_25 = e3) % 21.75/5.88 | (368) all_0_29_29 = e3 | all_0_33_33 = e3 | all_0_37_37 = e3 % 21.75/5.88 | % 21.75/5.88 +-Applying beta-rule and splitting (368), into two cases. % 21.75/5.88 |-Branch one: % 21.75/5.88 | (287) all_0_29_29 = e3 % 21.75/5.88 | % 21.75/5.88 | Equations (287) can reduce 246 to: % 21.75/5.88 | (188) $false % 21.75/5.88 | % 21.75/5.88 |-The branch is then unsatisfiable % 21.75/5.88 |-Branch two: % 21.75/5.88 | (246) ~ (all_0_29_29 = e3) % 21.75/5.88 | (373) all_0_33_33 = e3 | all_0_37_37 = e3 % 21.75/5.88 | % 21.75/5.88 +-Applying beta-rule and splitting (113), into two cases. % 21.75/5.88 |-Branch one: % 21.75/5.88 | (694) all_0_24_24 = e1 % 21.75/5.88 | % 21.75/5.88 | Combining equations (221,694) yields a new equation: % 21.75/5.88 | (492) e3 = e1 % 21.75/5.88 | % 21.75/5.88 | Simplifying 492 yields: % 21.75/5.88 | (387) e3 = e1 % 21.75/5.88 | % 21.75/5.88 | Equations (387) can reduce 74 to: % 21.75/5.88 | (188) $false % 21.75/5.88 | % 21.75/5.88 |-The branch is then unsatisfiable % 21.75/5.88 |-Branch two: % 21.75/5.88 | (218) ~ (all_0_24_24 = e1) % 21.75/5.88 | (699) all_0_28_28 = e1 | all_0_32_32 = e1 | all_0_36_36 = e1 % 21.75/5.88 | % 21.75/5.88 +-Applying beta-rule and splitting (373), into two cases. % 21.75/5.88 |-Branch one: % 21.75/5.88 | (374) all_0_33_33 = e3 % 21.75/5.88 | % 21.75/5.88 | Equations (374) can reduce 359 to: % 21.75/5.88 | (188) $false % 21.75/5.88 | % 21.75/5.88 |-The branch is then unsatisfiable % 21.75/5.88 |-Branch two: % 21.75/5.88 | (359) ~ (all_0_33_33 = e3) % 21.75/5.88 | (377) all_0_37_37 = e3 % 21.75/5.88 | % 21.75/5.88 | Equations (377) can reduce 63 to: % 21.75/5.88 | (673) ~ (all_0_38_38 = e3) % 21.75/5.88 | % 21.75/5.88 | Simplifying 673 yields: % 21.75/5.88 | (499) ~ (all_0_38_38 = e3) % 21.75/5.88 | % 21.75/5.88 | Equations (377) can reduce 203 to: % 21.75/5.88 | (79) ~ (e3 = e0) % 21.75/5.88 | % 21.75/5.88 +-Applying beta-rule and splitting (70), into two cases. % 21.75/5.88 |-Branch one: % 21.75/5.88 | (543) all_0_26_26 = e3 % 21.75/5.88 | % 21.75/5.88 | Equations (543) can reduce 225 to: % 21.75/5.88 | (188) $false % 21.75/5.88 | % 21.75/5.88 |-The branch is then unsatisfiable % 21.75/5.88 |-Branch two: % 21.75/5.88 | (225) ~ (all_0_26_26 = e3) % 21.75/5.88 | (546) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0 % 21.75/5.88 | % 21.75/5.88 +-Applying beta-rule and splitting (174), into two cases. % 21.75/5.88 |-Branch one: % 21.75/5.88 | (543) all_0_26_26 = e3 % 21.75/5.88 | % 21.75/5.88 | Equations (543) can reduce 225 to: % 21.75/5.89 | (188) $false % 21.75/5.89 | % 21.75/5.89 |-The branch is then unsatisfiable % 21.75/5.89 |-Branch two: % 21.75/5.89 | (225) ~ (all_0_26_26 = e3) % 21.75/5.89 | (683) all_0_30_30 = e3 | all_0_34_34 = e3 | all_0_38_38 = e3 % 21.75/5.89 | % 21.75/5.89 +-Applying beta-rule and splitting (699), into two cases. % 21.75/5.89 |-Branch one: % 21.75/5.89 | (348) all_0_28_28 = e1 % 21.75/5.89 | % 21.75/5.89 | Combining equations (348,763) yields a new equation: % 21.75/5.89 | (510) e1 = e0 % 21.75/5.89 | % 21.75/5.89 | Simplifying 510 yields: % 21.75/5.89 | (379) e1 = e0 % 21.75/5.89 | % 21.75/5.89 | Equations (379) can reduce 153 to: % 21.75/5.89 | (188) $false % 21.75/5.89 | % 21.75/5.89 |-The branch is then unsatisfiable % 21.75/5.89 |-Branch two: % 21.75/5.89 | (518) ~ (all_0_28_28 = e1) % 21.75/5.89 | (1003) all_0_32_32 = e1 | all_0_36_36 = e1 % 21.75/5.89 | % 21.75/5.89 +-Applying beta-rule and splitting (1003), into two cases. % 21.75/5.89 |-Branch one: % 21.75/5.89 | (438) all_0_32_32 = e1 % 21.75/5.89 | % 21.75/5.89 | Equations (438) can reduce 350 to: % 21.75/5.89 | (188) $false % 21.75/5.89 | % 21.75/5.89 |-The branch is then unsatisfiable % 21.75/5.89 |-Branch two: % 21.75/5.89 | (350) ~ (all_0_32_32 = e1) % 21.75/5.89 | (445) all_0_36_36 = e1 % 21.75/5.89 | % 21.75/5.89 | Equations (445) can reduce 23 to: % 21.75/5.89 | (262) ~ (all_0_38_38 = e1) % 21.75/5.89 | % 21.75/5.89 | Simplifying 262 yields: % 21.75/5.89 | (263) ~ (all_0_38_38 = e1) % 21.75/5.89 | % 21.75/5.89 +-Applying beta-rule and splitting (61), into two cases. % 21.75/5.89 |-Branch one: % 21.75/5.89 | (489) all_0_38_38 = e3 % 21.75/5.89 | % 21.75/5.89 | Equations (489) can reduce 499 to: % 21.75/5.89 | (188) $false % 21.75/5.89 | % 21.75/5.89 |-The branch is then unsatisfiable % 21.75/5.89 |-Branch two: % 21.75/5.89 | (499) ~ (all_0_38_38 = e3) % 21.75/5.89 | (575) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0 % 21.75/5.89 | % 21.75/5.89 +-Applying beta-rule and splitting (575), into two cases. % 21.75/5.89 |-Branch one: % 21.75/5.89 | (576) all_0_38_38 = e2 % 21.75/5.89 | % 21.75/5.89 | Equations (576) can reduce 15 to: % 21.75/5.89 | (552) ~ (all_0_30_30 = e2) % 21.75/5.89 | % 21.75/5.89 +-Applying beta-rule and splitting (34), into two cases. % 21.75/5.89 |-Branch one: % 21.75/5.89 | (561) all_0_30_30 = e3 % 21.75/5.89 | % 21.75/5.89 | Equations (561) can reduce 556 to: % 21.75/5.89 | (188) $false % 21.75/5.89 | % 21.75/5.89 |-The branch is then unsatisfiable % 21.75/5.89 |-Branch two: % 21.75/5.89 | (556) ~ (all_0_30_30 = e3) % 21.75/5.89 | (564) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0 % 21.75/5.89 | % 21.75/5.89 +-Applying beta-rule and splitting (683), into two cases. % 21.75/5.89 |-Branch one: % 21.75/5.89 | (561) all_0_30_30 = e3 % 21.75/5.89 | % 21.75/5.89 | Equations (561) can reduce 556 to: % 21.75/5.89 | (188) $false % 21.75/5.89 | % 21.75/5.89 |-The branch is then unsatisfiable % 21.75/5.89 |-Branch two: % 21.75/5.89 | (556) ~ (all_0_30_30 = e3) % 21.75/5.89 | (941) all_0_34_34 = e3 | all_0_38_38 = e3 % 21.75/5.89 | % 21.75/5.89 +-Applying beta-rule and splitting (564), into two cases. % 21.75/5.89 |-Branch one: % 21.75/5.89 | (565) all_0_30_30 = e2 % 21.75/5.89 | % 21.75/5.89 | Equations (565) can reduce 552 to: % 21.75/5.89 | (188) $false % 21.75/5.89 | % 21.75/5.89 |-The branch is then unsatisfiable % 21.75/5.89 |-Branch two: % 21.75/5.89 | (552) ~ (all_0_30_30 = e2) % 21.75/5.89 | (568) all_0_30_30 = e1 | all_0_30_30 = e0 % 21.75/5.89 | % 21.75/5.89 +-Applying beta-rule and splitting (568), into two cases. % 21.75/5.89 |-Branch one: % 21.75/5.89 | (525) all_0_30_30 = e1 % 21.75/5.89 | % 21.75/5.89 | Equations (525) can reduce 556 to: % 21.75/5.89 | (691) ~ (e3 = e1) % 21.75/5.89 | % 21.75/5.89 | Simplifying 691 yields: % 21.75/5.89 | (74) ~ (e3 = e1) % 21.75/5.89 | % 21.75/5.89 +-Applying beta-rule and splitting (1510), into two cases. % 21.75/5.89 |-Branch one: % 21.75/5.89 | (248) all_0_34_34 = e3 % 21.75/5.89 | % 21.75/5.89 | Combining equations (248,620) yields a new equation: % 21.75/5.89 | (425) e3 = e0 % 21.75/5.89 | % 21.75/5.89 | Simplifying 425 yields: % 21.75/5.89 | (370) e3 = e0 % 21.75/5.89 | % 21.75/5.89 | Equations (370) can reduce 79 to: % 21.75/5.89 | (188) $false % 21.75/5.89 | % 21.75/5.89 |-The branch is then unsatisfiable % 21.75/5.89 |-Branch two: % 21.75/5.89 | (244) ~ (all_0_34_34 = e3) % 21.75/5.89 | (358) all_0_35_35 = e3 % 21.75/5.89 | % 21.75/5.89 | Combining equations (398,358) yields a new equation: % 21.75/5.89 | (387) e3 = e1 % 21.75/5.89 | % 21.75/5.89 | Equations (387) can reduce 74 to: % 21.75/5.89 | (188) $false % 21.75/5.89 | % 21.75/5.89 |-The branch is then unsatisfiable % 21.75/5.89 |-Branch two: % 21.75/5.89 | (258) ~ (all_0_30_30 = e1) % 21.75/5.89 | (557) all_0_30_30 = e0 % 21.75/5.89 | % 21.75/5.89 | Equations (557) can reduce 313 to: % 21.75/5.89 | (188) $false % 21.75/5.89 | % 21.75/5.89 |-The branch is then unsatisfiable % 21.75/5.89 |-Branch two: % 21.75/5.89 | (554) ~ (all_0_38_38 = e2) % 21.75/5.89 | (579) all_0_38_38 = e1 | all_0_38_38 = e0 % 21.75/5.89 | % 21.75/5.89 +-Applying beta-rule and splitting (579), into two cases. % 21.75/5.89 |-Branch one: % 21.75/5.89 | (506) all_0_38_38 = e1 % 21.75/5.89 | % 21.75/5.89 | Equations (506) can reduce 263 to: % 21.75/5.89 | (188) $false % 21.75/5.89 | % 21.75/5.89 |-The branch is then unsatisfiable % 21.75/5.89 |-Branch two: % 21.75/5.89 | (263) ~ (all_0_38_38 = e1) % 21.75/5.89 | (583) all_0_38_38 = e0 % 21.75/5.89 | % 21.75/5.89 | Equations (583) can reduce 204 to: % 21.75/5.89 | (188) $false % 21.75/5.89 | % 21.75/5.89 |-The branch is then unsatisfiable % 21.75/5.89 |-Branch two: % 21.75/5.89 | (311) ~ (all_0_28_28 = e0) % 21.75/5.89 | (768) all_0_29_29 = e0 | all_0_30_30 = e0 | all_0_31_31 = e0 % 21.75/5.89 | % 21.75/5.89 +-Applying beta-rule and splitting (768), into two cases. % 21.75/5.89 |-Branch one: % 21.75/5.89 | (306) all_0_29_29 = e0 % 21.75/5.89 | % 21.75/5.89 | Equations (306) can reduce 286 to: % 21.75/5.89 | (188) $false % 21.75/5.89 | % 21.75/5.89 |-The branch is then unsatisfiable % 21.75/5.89 |-Branch two: % 21.75/5.89 | (286) ~ (all_0_29_29 = e0) % 21.75/5.89 | (798) all_0_30_30 = e0 | all_0_31_31 = e0 % 21.75/5.89 | % 21.75/5.89 +-Applying beta-rule and splitting (798), into two cases. % 21.75/5.89 |-Branch one: % 21.75/5.89 | (557) all_0_30_30 = e0 % 21.75/5.89 | % 21.75/5.89 | Equations (557) can reduce 313 to: % 21.75/5.89 | (188) $false % 21.75/5.89 | % 21.75/5.89 |-The branch is then unsatisfiable % 21.75/5.89 |-Branch two: % 21.75/5.89 | (313) ~ (all_0_30_30 = e0) % 21.75/5.89 | (938) all_0_31_31 = e0 % 21.75/5.89 | % 21.75/5.89 | Combining equations (416,938) yields a new equation: % 21.75/5.89 | (425) e3 = e0 % 21.75/5.89 | % 21.75/5.89 | Simplifying 425 yields: % 21.75/5.89 | (370) e3 = e0 % 21.75/5.89 | % 21.75/5.89 | Equations (370) can reduce 79 to: % 21.75/5.89 | (188) $false % 21.75/5.89 | % 21.75/5.89 |-The branch is then unsatisfiable % 21.75/5.89 |-Branch two: % 21.75/5.89 | (310) ~ (all_0_27_27 = e2) % 21.75/5.89 | (926) all_0_27_27 = e1 | all_0_27_27 = e0 % 21.75/5.89 | % 21.75/5.89 +-Applying beta-rule and splitting (926), into two cases. % 21.75/5.89 |-Branch one: % 21.75/5.89 | (354) all_0_27_27 = e1 % 21.75/5.89 | % 21.75/5.89 | Equations (354) can reduce 443 to: % 21.75/5.89 | (188) $false % 21.75/5.89 | % 21.75/5.89 |-The branch is then unsatisfiable % 21.75/5.89 |-Branch two: % 21.75/5.89 | (443) ~ (all_0_27_27 = e1) % 21.75/5.89 | (930) all_0_27_27 = e0 % 21.75/5.89 | % 21.75/5.89 | Equations (930) can reduce 199 to: % 21.75/5.89 | (188) $false % 21.75/5.89 | % 21.75/5.89 |-The branch is then unsatisfiable % 21.75/5.89 |-Branch two: % 21.75/5.89 | (306) all_0_29_29 = e0 % 21.75/5.89 | (309) all_0_31_31 = e2 % 21.75/5.89 | % 21.75/5.89 | Combining equations (416,309) yields a new equation: % 21.75/5.89 | (364) e3 = e2 % 21.75/5.89 | % 21.75/5.89 | Simplifying 364 yields: % 21.75/5.89 | (333) e3 = e2 % 21.75/5.89 | % 21.75/5.89 | Equations (333) can reduce 62 to: % 21.75/5.89 | (188) $false % 21.75/5.89 | % 21.75/5.89 |-The branch is then unsatisfiable % 21.75/5.89 |-Branch two: % 21.75/5.89 | (419) ~ (all_0_31_31 = e3) % 21.75/5.89 | (420) all_0_35_35 = e3 | all_0_39_39 = e3 % 21.75/5.89 | % 21.75/5.89 +-Applying beta-rule and splitting (420), into two cases. % 21.75/5.89 |-Branch one: % 21.75/5.89 | (358) all_0_35_35 = e3 % 21.75/5.89 | % 21.75/5.89 | Combining equations (398,358) yields a new equation: % 21.75/5.89 | (387) e3 = e1 % 21.75/5.89 | % 21.75/5.89 | Equations (387) can reduce 74 to: % 21.75/5.89 | (188) $false % 21.75/5.89 | % 21.75/5.89 |-The branch is then unsatisfiable % 21.75/5.89 |-Branch two: % 21.75/5.89 | (389) ~ (all_0_35_35 = e3) % 21.75/5.89 | (187) all_0_39_39 = e3 % 21.75/5.89 | % 21.75/5.89 | Combining equations (187,198) yields a new equation: % 21.75/5.89 | (425) e3 = e0 % 21.75/5.89 | % 21.75/5.89 | Simplifying 425 yields: % 21.75/5.89 | (370) e3 = e0 % 21.75/5.89 | % 21.75/5.89 | Equations (370) can reduce 79 to: % 21.75/5.89 | (188) $false % 21.75/5.89 | % 21.75/5.89 |-The branch is then unsatisfiable % 21.75/5.89 |-Branch two: % 21.75/5.89 | (248) all_0_34_34 = e3 % 21.75/5.90 | (438) all_0_32_32 = e1 % 21.75/5.90 | % 21.75/5.90 | Equations (438) can reduce 95 to: % 21.75/5.90 | (518) ~ (all_0_28_28 = e1) % 21.75/5.90 | % 21.75/5.90 | Equations (248) can reduce 139 to: % 21.75/5.90 | (556) ~ (all_0_30_30 = e3) % 21.75/5.90 | % 21.75/5.90 | Equations (438) can reduce 11 to: % 21.75/5.90 | (351) ~ (all_0_36_36 = e1) % 21.75/5.90 | % 21.75/5.90 | Simplifying 351 yields: % 21.75/5.90 | (352) ~ (all_0_36_36 = e1) % 21.75/5.90 | % 21.75/5.90 | Equations (248) can reduce 20 to: % 21.75/5.90 | (359) ~ (all_0_33_33 = e3) % 21.75/5.90 | % 21.75/5.90 | Equations (248) can reduce 105 to: % 21.75/5.90 | (673) ~ (all_0_38_38 = e3) % 21.75/5.90 | % 21.75/5.90 | Simplifying 673 yields: % 21.75/5.90 | (499) ~ (all_0_38_38 = e3) % 21.75/5.90 | % 21.75/5.90 +-Applying beta-rule and splitting (141), into two cases. % 21.75/5.90 |-Branch one: % 21.75/5.90 | (391) all_0_32_32 = e0 % 21.75/5.90 | % 21.75/5.90 | Combining equations (438,391) yields a new equation: % 21.75/5.90 | (510) e1 = e0 % 21.75/5.90 | % 21.75/5.90 | Simplifying 510 yields: % 21.75/5.90 | (379) e1 = e0 % 21.75/5.90 | % 21.75/5.90 | Equations (379) can reduce 153 to: % 21.75/5.90 | (188) $false % 21.75/5.90 | % 21.75/5.90 |-The branch is then unsatisfiable % 21.75/5.90 |-Branch two: % 21.75/5.90 | (403) ~ (all_0_32_32 = e0) % 21.75/5.90 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 21.75/5.90 | % 21.75/5.90 +-Applying beta-rule and splitting (404), into two cases. % 21.75/5.90 |-Branch one: % 21.75/5.90 | (882) all_0_33_33 = e0 % 21.75/5.90 | % 21.75/5.90 | Equations (882) can reduce 114 to: % 21.75/5.90 | (726) ~ (all_0_25_25 = e0) % 21.75/5.90 | % 21.75/5.90 | Equations (882) can reduce 108 to: % 21.75/5.90 | (286) ~ (all_0_29_29 = e0) % 21.75/5.90 | % 21.75/5.90 | Equations (882) can reduce 182 to: % 21.75/5.90 | (314) ~ (all_0_37_37 = e0) % 21.75/5.90 | % 21.75/5.90 | Simplifying 314 yields: % 21.75/5.90 | (203) ~ (all_0_37_37 = e0) % 21.75/5.90 | % 21.75/5.90 | Equations (882) can reduce 359 to: % 21.75/5.90 | (205) ~ (e3 = e0) % 21.75/5.90 | % 21.75/5.90 | Simplifying 205 yields: % 21.75/5.90 | (79) ~ (e3 = e0) % 21.75/5.90 | % 21.75/5.90 +-Applying beta-rule and splitting (14), into two cases. % 21.75/5.90 |-Branch one: % 21.75/5.90 | (405) all_0_32_32 = e2 % 21.75/5.90 | % 21.75/5.90 | Combining equations (438,405) yields a new equation: % 21.75/5.90 | (343) e2 = e1 % 21.75/5.90 | % 21.75/5.90 | Equations (343) can reduce 128 to: % 21.75/5.90 | (188) $false % 21.75/5.90 | % 21.75/5.90 |-The branch is then unsatisfiable % 21.75/5.90 |-Branch two: % 21.75/5.90 | (428) ~ (all_0_32_32 = e2) % 21.75/5.90 | (429) all_0_33_33 = e2 | all_0_34_34 = e2 | all_0_35_35 = e2 % 21.75/5.90 | % 21.75/5.90 +-Applying beta-rule and splitting (429), into two cases. % 21.75/5.90 |-Branch one: % 21.75/5.90 | (810) all_0_33_33 = e2 % 21.75/5.90 | % 21.75/5.90 | Combining equations (810,882) yields a new equation: % 21.75/5.90 | (535) e2 = e0 % 21.75/5.90 | % 21.75/5.90 | Simplifying 535 yields: % 21.75/5.90 | (536) e2 = e0 % 21.75/5.90 | % 21.75/5.90 | Equations (536) can reduce 87 to: % 21.75/5.90 | (188) $false % 21.75/5.90 | % 21.75/5.90 |-The branch is then unsatisfiable % 21.75/5.90 |-Branch two: % 21.75/5.90 | (813) ~ (all_0_33_33 = e2) % 21.75/5.90 | (1658) all_0_34_34 = e2 | all_0_35_35 = e2 % 21.75/5.90 | % 21.75/5.90 +-Applying beta-rule and splitting (1658), into two cases. % 21.75/5.90 |-Branch one: % 21.75/5.90 | (252) all_0_34_34 = e2 % 21.75/5.90 | % 21.75/5.90 | Combining equations (248,252) yields a new equation: % 21.75/5.90 | (364) e3 = e2 % 21.75/5.90 | % 21.75/5.90 | Simplifying 364 yields: % 21.75/5.90 | (333) e3 = e2 % 21.75/5.90 | % 21.75/5.90 | Equations (333) can reduce 62 to: % 21.75/5.90 | (188) $false % 21.75/5.90 | % 21.75/5.90 |-The branch is then unsatisfiable % 21.75/5.90 |-Branch two: % 21.75/5.90 | (247) ~ (all_0_34_34 = e2) % 21.75/5.90 | (394) all_0_35_35 = e2 % 21.75/5.90 | % 21.75/5.90 | Equations (394) can reduce 7 to: % 21.75/5.90 | (310) ~ (all_0_27_27 = e2) % 21.75/5.90 | % 21.75/5.90 | Equations (394) can reduce 147 to: % 21.75/5.90 | (817) ~ (all_0_31_31 = e2) % 21.75/5.90 | % 21.75/5.90 +-Applying beta-rule and splitting (107), into two cases. % 21.75/5.90 |-Branch one: % 21.75/5.90 | (454) all_0_36_36 = e3 % 21.75/5.90 | % 21.75/5.90 | Equations (454) can reduce 233 to: % 21.75/5.90 | (188) $false % 21.75/5.90 | % 21.75/5.90 |-The branch is then unsatisfiable % 21.75/5.90 |-Branch two: % 21.75/5.90 | (233) ~ (all_0_36_36 = e3) % 21.75/5.90 | (477) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3 % 21.75/5.90 | % 21.75/5.90 +-Applying beta-rule and splitting (55), into two cases. % 21.75/5.90 |-Branch one: % 21.75/5.90 | (328) all_0_27_27 = e3 % 21.75/5.90 | % 21.75/5.90 | Equations (328) can reduce 227 to: % 21.75/5.90 | (188) $false % 21.75/5.90 | % 21.75/5.90 |-The branch is then unsatisfiable % 21.75/5.90 |-Branch two: % 21.75/5.90 | (227) ~ (all_0_27_27 = e3) % 21.75/5.90 | (331) all_0_31_31 = e3 | all_0_35_35 = e3 | all_0_39_39 = e3 % 21.75/5.90 | % 21.75/5.90 +-Applying beta-rule and splitting (97), into two cases. % 21.75/5.90 |-Branch one: % 21.75/5.90 | (454) all_0_36_36 = e3 % 21.75/5.90 | % 21.75/5.90 | Equations (454) can reduce 233 to: % 21.75/5.90 | (188) $false % 21.75/5.90 | % 21.75/5.90 |-The branch is then unsatisfiable % 21.75/5.90 |-Branch two: % 21.75/5.90 | (233) ~ (all_0_36_36 = e3) % 21.75/5.90 | (457) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0 % 21.75/5.90 | % 21.75/5.90 +-Applying beta-rule and splitting (477), into two cases. % 21.75/5.90 |-Branch one: % 21.75/5.90 | (377) all_0_37_37 = e3 % 21.75/5.90 | % 21.75/5.90 | Equations (377) can reduce 35 to: % 21.75/5.90 | (246) ~ (all_0_29_29 = e3) % 21.75/5.90 | % 21.75/5.90 | Equations (377) can reduce 63 to: % 21.75/5.90 | (673) ~ (all_0_38_38 = e3) % 21.75/5.90 | % 21.75/5.90 | Simplifying 673 yields: % 21.75/5.90 | (499) ~ (all_0_38_38 = e3) % 21.75/5.90 | % 21.75/5.90 | Equations (377) can reduce 203 to: % 21.75/5.90 | (79) ~ (e3 = e0) % 21.75/5.90 | % 21.75/5.90 +-Applying beta-rule and splitting (104), into two cases. % 21.75/5.90 |-Branch one: % 21.75/5.90 | (654) all_0_28_28 = e3 % 21.75/5.90 | % 21.75/5.90 | Equations (654) can reduce 229 to: % 21.75/5.90 | (188) $false % 21.75/5.90 | % 21.75/5.90 |-The branch is then unsatisfiable % 21.75/5.90 |-Branch two: % 21.75/5.90 | (229) ~ (all_0_28_28 = e3) % 21.75/5.90 | (657) all_0_29_29 = e3 | all_0_30_30 = e3 | all_0_31_31 = e3 % 21.75/5.90 | % 21.75/5.90 +-Applying beta-rule and splitting (457), into two cases. % 21.75/5.90 |-Branch one: % 21.75/5.90 | (732) all_0_36_36 = e2 % 21.75/5.90 | % 21.75/5.90 | Equations (732) can reduce 23 to: % 21.75/5.90 | (553) ~ (all_0_38_38 = e2) % 21.75/5.90 | % 21.75/5.90 | Simplifying 553 yields: % 21.75/5.90 | (554) ~ (all_0_38_38 = e2) % 21.75/5.90 | % 21.75/5.90 | Equations (732) can reduce 352 to: % 21.75/5.90 | (128) ~ (e2 = e1) % 21.75/5.90 | % 21.75/5.90 | Equations (732) can reduce 202 to: % 21.75/5.90 | (87) ~ (e2 = e0) % 21.75/5.90 | % 21.75/5.90 +-Applying beta-rule and splitting (22), into two cases. % 21.75/5.90 |-Branch one: % 21.75/5.90 | (342) all_0_25_25 = e1 % 21.75/5.90 | % 21.75/5.90 | Equations (342) can reduce 726 to: % 21.75/5.90 | (153) ~ (e1 = e0) % 21.75/5.90 | % 21.75/5.90 +-Applying beta-rule and splitting (85), into two cases. % 21.75/5.90 |-Branch one: % 21.75/5.90 | (337) all_0_25_25 = e2 % 21.75/5.90 | % 21.75/5.90 | Combining equations (337,342) yields a new equation: % 21.75/5.90 | (484) e2 = e1 % 21.75/5.90 | % 21.75/5.90 | Simplifying 484 yields: % 21.75/5.90 | (343) e2 = e1 % 21.75/5.90 | % 21.75/5.90 | Equations (343) can reduce 128 to: % 21.75/5.90 | (188) $false % 21.75/5.90 | % 21.75/5.90 |-The branch is then unsatisfiable % 21.75/5.90 |-Branch two: % 21.75/5.90 | (532) ~ (all_0_25_25 = e2) % 21.75/5.90 | (805) all_0_29_29 = e2 | all_0_33_33 = e2 | all_0_37_37 = e2 % 21.75/5.90 | % 21.75/5.90 +-Applying beta-rule and splitting (66), into two cases. % 21.75/5.90 |-Branch one: % 21.75/5.90 | (1082) all_0_24_24 = e0 % 21.75/5.90 | % 21.75/5.90 | Combining equations (1082,221) yields a new equation: % 21.75/5.90 | (370) e3 = e0 % 21.75/5.90 | % 21.75/5.90 | Equations (370) can reduce 79 to: % 21.75/5.90 | (188) $false % 21.75/5.90 | % 21.75/5.90 |-The branch is then unsatisfiable % 21.75/5.90 |-Branch two: % 21.75/5.90 | (220) ~ (all_0_24_24 = e0) % 21.75/5.90 | (1087) all_0_25_25 = e0 | all_0_26_26 = e0 | all_0_27_27 = e0 % 21.75/5.90 | % 21.75/5.90 | Equations (221) can reduce 220 to: % 21.75/5.90 | (79) ~ (e3 = e0) % 21.75/5.90 | % 21.75/5.90 +-Applying beta-rule and splitting (805), into two cases. % 21.75/5.90 |-Branch one: % 21.75/5.90 | (291) all_0_29_29 = e2 % 21.75/5.90 | % 21.75/5.90 | Equations (291) can reduce 118 to: % 21.75/5.90 | (852) ~ (all_0_28_28 = e2) % 21.75/5.90 | % 21.75/5.90 | Equations (291) can reduce 133 to: % 21.75/5.90 | (551) ~ (all_0_30_30 = e2) % 21.75/5.90 | % 21.75/5.90 | Simplifying 551 yields: % 21.75/5.90 | (552) ~ (all_0_30_30 = e2) % 21.75/5.90 | % 21.75/5.90 | Equations (291) can reduce 246 to: % 21.75/5.90 | (340) ~ (e3 = e2) % 21.75/5.90 | % 21.75/5.90 | Simplifying 340 yields: % 21.75/5.90 | (62) ~ (e3 = e2) % 21.75/5.90 | % 21.75/5.90 | Equations (291) can reduce 286 to: % 21.75/5.90 | (87) ~ (e2 = e0) % 21.75/5.90 | % 21.75/5.90 +-Applying beta-rule and splitting (115), into two cases. % 21.75/5.90 |-Branch one: % 21.75/5.90 | (1082) all_0_24_24 = e0 % 21.75/5.90 | % 21.75/5.90 | Combining equations (1082,221) yields a new equation: % 21.75/5.90 | (370) e3 = e0 % 21.75/5.90 | % 21.75/5.90 | Equations (370) can reduce 79 to: % 21.75/5.90 | (188) $false % 21.75/5.90 | % 21.75/5.90 |-The branch is then unsatisfiable % 21.75/5.90 |-Branch two: % 21.75/5.90 | (220) ~ (all_0_24_24 = e0) % 21.75/5.90 | (1111) all_0_28_28 = e0 | all_0_32_32 = e0 | all_0_36_36 = e0 % 21.75/5.90 | % 21.75/5.90 +-Applying beta-rule and splitting (1111), into two cases. % 21.75/5.90 |-Branch one: % 21.75/5.90 | (763) all_0_28_28 = e0 % 21.75/5.90 | % 21.75/5.90 | Equations (763) can reduce 159 to: % 21.75/5.90 | (312) ~ (all_0_30_30 = e0) % 21.75/5.90 | % 21.75/5.90 | Simplifying 312 yields: % 21.75/5.90 | (313) ~ (all_0_30_30 = e0) % 21.75/5.90 | % 21.75/5.90 | Equations (763) can reduce 852 to: % 21.75/5.90 | (207) ~ (e2 = e0) % 21.75/5.90 | % 21.75/5.90 | Simplifying 207 yields: % 21.75/5.90 | (87) ~ (e2 = e0) % 21.75/5.90 | % 21.75/5.90 +-Applying beta-rule and splitting (6), into two cases. % 21.75/5.90 |-Branch one: % 21.75/5.90 | (534) all_0_26_26 = e2 % 21.75/5.90 | % 21.75/5.90 | Equations (534) can reduce 151 to: % 21.75/5.90 | (551) ~ (all_0_30_30 = e2) % 21.75/5.90 | % 21.75/5.90 | Simplifying 551 yields: % 21.75/5.90 | (552) ~ (all_0_30_30 = e2) % 21.75/5.90 | % 21.75/5.90 +-Applying beta-rule and splitting (34), into two cases. % 21.75/5.90 |-Branch one: % 21.75/5.90 | (561) all_0_30_30 = e3 % 21.75/5.90 | % 21.75/5.90 | Equations (561) can reduce 556 to: % 21.75/5.90 | (188) $false % 21.75/5.90 | % 21.75/5.90 |-The branch is then unsatisfiable % 21.75/5.90 |-Branch two: % 21.75/5.90 | (556) ~ (all_0_30_30 = e3) % 21.75/5.90 | (564) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0 % 21.75/5.90 | % 21.75/5.90 +-Applying beta-rule and splitting (564), into two cases. % 21.75/5.90 |-Branch one: % 21.75/5.90 | (565) all_0_30_30 = e2 % 21.75/5.90 | % 21.75/5.90 | Equations (565) can reduce 552 to: % 21.75/5.90 | (188) $false % 21.75/5.90 | % 21.75/5.90 |-The branch is then unsatisfiable % 21.75/5.90 |-Branch two: % 21.75/5.90 | (552) ~ (all_0_30_30 = e2) % 21.75/5.90 | (568) all_0_30_30 = e1 | all_0_30_30 = e0 % 21.75/5.90 | % 21.75/5.90 +-Applying beta-rule and splitting (568), into two cases. % 21.75/5.90 |-Branch one: % 21.75/5.90 | (525) all_0_30_30 = e1 % 21.75/5.90 | % 21.75/5.90 | Equations (525) can reduce 313 to: % 21.75/5.90 | (153) ~ (e1 = e0) % 21.75/5.90 | % 21.75/5.90 +-Applying beta-rule and splitting (56), into two cases. % 21.75/5.90 |-Branch one: % 21.75/5.90 | (321) all_0_26_26 = e0 % 21.75/5.90 | % 21.75/5.90 | Combining equations (534,321) yields a new equation: % 21.75/5.90 | (535) e2 = e0 % 21.75/5.90 | % 21.75/5.90 | Simplifying 535 yields: % 21.75/5.90 | (536) e2 = e0 % 21.75/5.90 | % 21.75/5.90 | Equations (536) can reduce 87 to: % 21.75/5.90 | (188) $false % 21.75/5.90 | % 21.75/5.90 |-The branch is then unsatisfiable % 21.75/5.90 |-Branch two: % 21.75/5.90 | (541) ~ (all_0_26_26 = e0) % 21.75/5.90 | (542) all_0_30_30 = e0 | all_0_34_34 = e0 | all_0_38_38 = e0 % 21.75/5.91 | % 21.75/5.91 | Equations (534) can reduce 541 to: % 21.75/5.91 | (87) ~ (e2 = e0) % 21.75/5.91 | % 21.75/5.91 +-Applying beta-rule and splitting (1087), into two cases. % 21.75/5.91 |-Branch one: % 21.75/5.91 | (758) all_0_25_25 = e0 % 21.75/5.91 | % 21.75/5.91 | Combining equations (758,342) yields a new equation: % 21.75/5.91 | (379) e1 = e0 % 21.75/5.91 | % 21.75/5.91 | Equations (379) can reduce 153 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (726) ~ (all_0_25_25 = e0) % 21.75/5.91 | (1317) all_0_26_26 = e0 | all_0_27_27 = e0 % 21.75/5.91 | % 21.75/5.91 +-Applying beta-rule and splitting (1317), into two cases. % 21.75/5.91 |-Branch one: % 21.75/5.91 | (321) all_0_26_26 = e0 % 21.75/5.91 | % 21.75/5.91 | Combining equations (534,321) yields a new equation: % 21.75/5.91 | (535) e2 = e0 % 21.75/5.91 | % 21.75/5.91 | Simplifying 535 yields: % 21.75/5.91 | (536) e2 = e0 % 21.75/5.91 | % 21.75/5.91 | Equations (536) can reduce 87 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (541) ~ (all_0_26_26 = e0) % 21.75/5.91 | (930) all_0_27_27 = e0 % 21.75/5.91 | % 21.75/5.91 | Equations (930) can reduce 199 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (258) ~ (all_0_30_30 = e1) % 21.75/5.91 | (557) all_0_30_30 = e0 % 21.75/5.91 | % 21.75/5.91 | Equations (557) can reduce 313 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (538) ~ (all_0_26_26 = e2) % 21.75/5.91 | (1441) all_0_30_30 = e2 | all_0_34_34 = e2 | all_0_38_38 = e2 % 21.75/5.91 | % 21.75/5.91 +-Applying beta-rule and splitting (1441), into two cases. % 21.75/5.91 |-Branch one: % 21.75/5.91 | (565) all_0_30_30 = e2 % 21.75/5.91 | % 21.75/5.91 | Equations (565) can reduce 552 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (552) ~ (all_0_30_30 = e2) % 21.75/5.91 | (1454) all_0_34_34 = e2 | all_0_38_38 = e2 % 21.75/5.91 | % 21.75/5.91 +-Applying beta-rule and splitting (1454), into two cases. % 21.75/5.91 |-Branch one: % 21.75/5.91 | (252) all_0_34_34 = e2 % 21.75/5.91 | % 21.75/5.91 | Combining equations (248,252) yields a new equation: % 21.75/5.91 | (364) e3 = e2 % 21.75/5.91 | % 21.75/5.91 | Simplifying 364 yields: % 21.75/5.91 | (333) e3 = e2 % 21.75/5.91 | % 21.75/5.91 | Equations (333) can reduce 62 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (247) ~ (all_0_34_34 = e2) % 21.75/5.91 | (576) all_0_38_38 = e2 % 21.75/5.91 | % 21.75/5.91 | Equations (576) can reduce 554 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (311) ~ (all_0_28_28 = e0) % 21.75/5.91 | (1119) all_0_32_32 = e0 | all_0_36_36 = e0 % 21.75/5.91 | % 21.75/5.91 +-Applying beta-rule and splitting (1119), into two cases. % 21.75/5.91 |-Branch one: % 21.75/5.91 | (391) all_0_32_32 = e0 % 21.75/5.91 | % 21.75/5.91 | Combining equations (438,391) yields a new equation: % 21.75/5.91 | (510) e1 = e0 % 21.75/5.91 | % 21.75/5.91 | Simplifying 510 yields: % 21.75/5.91 | (379) e1 = e0 % 21.75/5.91 | % 21.75/5.91 | Equations (379) can reduce 153 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (403) ~ (all_0_32_32 = e0) % 21.75/5.91 | (1232) all_0_36_36 = e0 % 21.75/5.91 | % 21.75/5.91 | Combining equations (1232,732) yields a new equation: % 21.75/5.91 | (536) e2 = e0 % 21.75/5.91 | % 21.75/5.91 | Equations (536) can reduce 87 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (301) ~ (all_0_29_29 = e2) % 21.75/5.91 | (809) all_0_33_33 = e2 | all_0_37_37 = e2 % 21.75/5.91 | % 21.75/5.91 +-Applying beta-rule and splitting (657), into two cases. % 21.75/5.91 |-Branch one: % 21.75/5.91 | (287) all_0_29_29 = e3 % 21.75/5.91 | % 21.75/5.91 | Equations (287) can reduce 246 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (246) ~ (all_0_29_29 = e3) % 21.75/5.91 | (661) all_0_30_30 = e3 | all_0_31_31 = e3 % 21.75/5.91 | % 21.75/5.91 +-Applying beta-rule and splitting (661), into two cases. % 21.75/5.91 |-Branch one: % 21.75/5.91 | (561) all_0_30_30 = e3 % 21.75/5.91 | % 21.75/5.91 | Equations (561) can reduce 556 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (556) ~ (all_0_30_30 = e3) % 21.75/5.91 | (416) all_0_31_31 = e3 % 21.75/5.91 | % 21.75/5.91 | Equations (416) can reduce 817 to: % 21.75/5.91 | (62) ~ (e3 = e2) % 21.75/5.91 | % 21.75/5.91 +-Applying beta-rule and splitting (809), into two cases. % 21.75/5.91 |-Branch one: % 21.75/5.91 | (810) all_0_33_33 = e2 % 21.75/5.91 | % 21.75/5.91 | Combining equations (882,810) yields a new equation: % 21.75/5.91 | (536) e2 = e0 % 21.75/5.91 | % 21.75/5.91 | Equations (536) can reduce 87 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (813) ~ (all_0_33_33 = e2) % 21.75/5.91 | (814) all_0_37_37 = e2 % 21.75/5.91 | % 21.75/5.91 | Combining equations (377,814) yields a new equation: % 21.75/5.91 | (364) e3 = e2 % 21.75/5.91 | % 21.75/5.91 | Simplifying 364 yields: % 21.75/5.91 | (333) e3 = e2 % 21.75/5.91 | % 21.75/5.91 | Equations (333) can reduce 62 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (345) ~ (all_0_25_25 = e1) % 21.75/5.91 | (346) all_0_29_29 = e1 | all_0_33_33 = e1 | all_0_37_37 = e1 % 21.75/5.91 | % 21.75/5.91 +-Applying beta-rule and splitting (346), into two cases. % 21.75/5.91 |-Branch one: % 21.75/5.91 | (303) all_0_29_29 = e1 % 21.75/5.91 | % 21.75/5.91 | Equations (303) can reduce 183 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (183) ~ (all_0_29_29 = e1) % 21.75/5.91 | (382) all_0_33_33 = e1 | all_0_37_37 = e1 % 21.75/5.91 | % 21.75/5.91 +-Applying beta-rule and splitting (61), into two cases. % 21.75/5.91 |-Branch one: % 21.75/5.91 | (489) all_0_38_38 = e3 % 21.75/5.91 | % 21.75/5.91 | Equations (489) can reduce 499 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (499) ~ (all_0_38_38 = e3) % 21.75/5.91 | (575) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0 % 21.75/5.91 | % 21.75/5.91 +-Applying beta-rule and splitting (575), into two cases. % 21.75/5.91 |-Branch one: % 21.75/5.91 | (576) all_0_38_38 = e2 % 21.75/5.91 | % 21.75/5.91 | Equations (576) can reduce 554 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (554) ~ (all_0_38_38 = e2) % 21.75/5.91 | (579) all_0_38_38 = e1 | all_0_38_38 = e0 % 21.75/5.91 | % 21.75/5.91 +-Applying beta-rule and splitting (96), into two cases. % 21.75/5.91 |-Branch one: % 21.75/5.91 | (328) all_0_27_27 = e3 % 21.75/5.91 | % 21.75/5.91 | Equations (328) can reduce 227 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (227) ~ (all_0_27_27 = e3) % 21.75/5.91 | (922) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0 % 21.75/5.91 | % 21.75/5.91 +-Applying beta-rule and splitting (922), into two cases. % 21.75/5.91 |-Branch one: % 21.75/5.91 | (539) all_0_27_27 = e2 % 21.75/5.91 | % 21.75/5.91 | Equations (539) can reduce 310 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (310) ~ (all_0_27_27 = e2) % 21.75/5.91 | (926) all_0_27_27 = e1 | all_0_27_27 = e0 % 21.75/5.91 | % 21.75/5.91 +-Applying beta-rule and splitting (926), into two cases. % 21.75/5.91 |-Branch one: % 21.75/5.91 | (354) all_0_27_27 = e1 % 21.75/5.91 | % 21.75/5.91 | Equations (354) can reduce 119 to: % 21.75/5.91 | (722) ~ (all_0_31_31 = e1) % 21.75/5.91 | % 21.75/5.91 | Simplifying 722 yields: % 21.75/5.91 | (487) ~ (all_0_31_31 = e1) % 21.75/5.91 | % 21.75/5.91 +-Applying beta-rule and splitting (16), into two cases. % 21.75/5.91 |-Branch one: % 21.75/5.91 | (348) all_0_28_28 = e1 % 21.75/5.91 | % 21.75/5.91 | Equations (348) can reduce 518 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (518) ~ (all_0_28_28 = e1) % 21.75/5.91 | (519) all_0_29_29 = e1 | all_0_30_30 = e1 | all_0_31_31 = e1 % 21.75/5.91 | % 21.75/5.91 +-Applying beta-rule and splitting (579), into two cases. % 21.75/5.91 |-Branch one: % 21.75/5.91 | (506) all_0_38_38 = e1 % 21.75/5.91 | % 21.75/5.91 | Equations (506) can reduce 15 to: % 21.75/5.91 | (258) ~ (all_0_30_30 = e1) % 21.75/5.91 | % 21.75/5.91 +-Applying beta-rule and splitting (519), into two cases. % 21.75/5.91 |-Branch one: % 21.75/5.91 | (303) all_0_29_29 = e1 % 21.75/5.91 | % 21.75/5.91 | Equations (303) can reduce 183 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (183) ~ (all_0_29_29 = e1) % 21.75/5.91 | (524) all_0_30_30 = e1 | all_0_31_31 = e1 % 21.75/5.91 | % 21.75/5.91 +-Applying beta-rule and splitting (524), into two cases. % 21.75/5.91 |-Branch one: % 21.75/5.91 | (525) all_0_30_30 = e1 % 21.75/5.91 | % 21.75/5.91 | Equations (525) can reduce 258 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (258) ~ (all_0_30_30 = e1) % 21.75/5.91 | (483) all_0_31_31 = e1 % 21.75/5.91 | % 21.75/5.91 | Equations (483) can reduce 487 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (263) ~ (all_0_38_38 = e1) % 21.75/5.91 | (583) all_0_38_38 = e0 % 21.75/5.91 | % 21.75/5.91 | Equations (583) can reduce 204 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (443) ~ (all_0_27_27 = e1) % 21.75/5.91 | (930) all_0_27_27 = e0 % 21.75/5.91 | % 21.75/5.91 | Equations (930) can reduce 199 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (828) ~ (all_0_36_36 = e2) % 21.75/5.91 | (1147) all_0_36_36 = e1 | all_0_36_36 = e0 % 21.75/5.91 | % 21.75/5.91 +-Applying beta-rule and splitting (156), into two cases. % 21.75/5.91 |-Branch one: % 21.75/5.91 | (445) all_0_36_36 = e1 % 21.75/5.91 | % 21.75/5.91 | Equations (445) can reduce 352 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (352) ~ (all_0_36_36 = e1) % 21.75/5.91 | (448) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1 % 21.75/5.91 | % 21.75/5.91 +-Applying beta-rule and splitting (1147), into two cases. % 21.75/5.91 |-Branch one: % 21.75/5.91 | (445) all_0_36_36 = e1 % 21.75/5.91 | % 21.75/5.91 | Equations (445) can reduce 352 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (352) ~ (all_0_36_36 = e1) % 21.75/5.91 | (1232) all_0_36_36 = e0 % 21.75/5.91 | % 21.75/5.91 | Equations (1232) can reduce 202 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (481) ~ (all_0_37_37 = e3) % 21.75/5.91 | (482) all_0_38_38 = e3 | all_0_39_39 = e3 % 21.75/5.91 | % 21.75/5.91 +-Applying beta-rule and splitting (482), into two cases. % 21.75/5.91 |-Branch one: % 21.75/5.91 | (489) all_0_38_38 = e3 % 21.75/5.91 | % 21.75/5.91 | Equations (489) can reduce 499 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (499) ~ (all_0_38_38 = e3) % 21.75/5.91 | (187) all_0_39_39 = e3 % 21.75/5.91 | % 21.75/5.91 | Combining equations (187,198) yields a new equation: % 21.75/5.91 | (425) e3 = e0 % 21.75/5.91 | % 21.75/5.91 | Simplifying 425 yields: % 21.75/5.91 | (370) e3 = e0 % 21.75/5.91 | % 21.75/5.91 | Equations (370) can reduce 79 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (885) ~ (all_0_33_33 = e0) % 21.75/5.91 | (1032) all_0_34_34 = e0 | all_0_35_35 = e0 % 21.75/5.91 | % 21.75/5.91 +-Applying beta-rule and splitting (1032), into two cases. % 21.75/5.91 |-Branch one: % 21.75/5.91 | (620) all_0_34_34 = e0 % 21.75/5.91 | % 21.75/5.91 | Combining equations (248,620) yields a new equation: % 21.75/5.91 | (425) e3 = e0 % 21.75/5.91 | % 21.75/5.91 | Simplifying 425 yields: % 21.75/5.91 | (370) e3 = e0 % 21.75/5.91 | % 21.75/5.91 | Equations (370) can reduce 79 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (245) ~ (all_0_34_34 = e0) % 21.75/5.91 | (401) all_0_35_35 = e0 % 21.75/5.91 | % 21.75/5.91 | Equations (401) can reduce 201 to: % 21.75/5.91 | (188) $false % 21.75/5.91 | % 21.75/5.91 |-The branch is then unsatisfiable % 21.75/5.91 |-Branch two: % 21.75/5.91 | (1876) ~ (all_0_24_24 = e3) % 21.75/5.92 | (1877) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0 % 21.75/5.92 | % 21.75/5.92 +-Applying beta-rule and splitting (1877), into two cases. % 21.75/5.92 |-Branch one: % 21.75/5.92 | (332) all_0_24_24 = e2 % 21.75/5.92 | % 21.75/5.92 | Equations (332) can reduce 219 to: % 21.75/5.92 | (188) $false % 21.75/5.92 | % 21.75/5.92 |-The branch is then unsatisfiable % 21.75/5.92 |-Branch two: % 21.75/5.92 | (219) ~ (all_0_24_24 = e2) % 21.75/5.92 | (1881) all_0_24_24 = e1 | all_0_24_24 = e0 % 21.75/5.92 | % 21.75/5.92 +-Applying beta-rule and splitting (1881), into two cases. % 21.75/5.92 |-Branch one: % 21.75/5.92 | (694) all_0_24_24 = e1 % 21.75/5.92 | % 21.75/5.92 | Equations (694) can reduce 218 to: % 21.75/5.92 | (188) $false % 21.75/5.92 | % 21.75/5.92 |-The branch is then unsatisfiable % 21.75/5.92 |-Branch two: % 21.75/5.92 | (218) ~ (all_0_24_24 = e1) % 21.75/5.92 | (1082) all_0_24_24 = e0 % 21.75/5.92 | % 21.75/5.92 | Equations (1082) can reduce 220 to: % 21.75/5.92 | (188) $false % 21.75/5.92 | % 21.75/5.92 |-The branch is then unsatisfiable % 21.75/5.92 |-Branch two: % 21.75/5.92 | (1082) all_0_24_24 = e0 % 21.75/5.92 | (328) all_0_27_27 = e3 % 21.75/5.92 | % 21.75/5.92 | Equations (1082) can reduce 149 to: % 21.75/5.92 | (1889) ~ (all_0_25_25 = e0) % 21.75/5.92 | % 21.75/5.92 | Simplifying 1889 yields: % 21.75/5.92 | (726) ~ (all_0_25_25 = e0) % 21.75/5.92 | % 21.75/5.92 | Equations (1082) can reduce 60 to: % 21.75/5.92 | (1891) ~ (all_0_26_26 = e0) % 21.75/5.92 | % 21.75/5.92 | Simplifying 1891 yields: % 21.75/5.92 | (541) ~ (all_0_26_26 = e0) % 21.75/5.92 | % 21.75/5.92 | Equations (1082) can reduce 102 to: % 21.75/5.92 | (1376) ~ (all_0_32_32 = e0) % 21.75/5.92 | % 21.75/5.92 | Simplifying 1376 yields: % 21.75/5.92 | (403) ~ (all_0_32_32 = e0) % 21.75/5.92 | % 21.75/5.92 | Equations (1082) can reduce 68 to: % 21.75/5.92 | (644) ~ (all_0_36_36 = e0) % 21.75/5.92 | % 21.75/5.92 | Simplifying 644 yields: % 21.75/5.92 | (202) ~ (all_0_36_36 = e0) % 21.75/5.92 | % 21.75/5.92 | Equations (1082) can reduce 218 to: % 21.75/5.92 | (209) ~ (e1 = e0) % 21.75/5.92 | % 21.75/5.92 | Simplifying 209 yields: % 21.75/5.92 | (153) ~ (e1 = e0) % 21.75/5.92 | % 21.75/5.92 | Equations (328) can reduce 130 to: % 21.75/5.92 | (223) ~ (all_0_25_25 = e3) % 21.75/5.92 | % 21.75/5.92 | Equations (328) can reduce 18 to: % 21.75/5.92 | (225) ~ (all_0_26_26 = e3) % 21.75/5.92 | % 21.75/5.92 | Equations (328) can reduce 119 to: % 21.75/5.92 | (711) ~ (all_0_31_31 = e3) % 21.75/5.92 | % 21.75/5.92 | Simplifying 711 yields: % 21.75/5.92 | (419) ~ (all_0_31_31 = e3) % 21.75/5.92 | % 21.75/5.92 | Equations (328) can reduce 7 to: % 21.75/5.92 | (1903) ~ (all_0_35_35 = e3) % 21.75/5.92 | % 21.75/5.92 | Simplifying 1903 yields: % 21.75/5.92 | (389) ~ (all_0_35_35 = e3) % 21.75/5.92 | % 21.75/5.92 | Equations (328) can reduce 199 to: % 21.75/5.92 | (79) ~ (e3 = e0) % 21.75/5.92 | % 21.75/5.92 | From (1082) and (103) follows: % 21.75/5.92 | (1906) op(e3, e3) = e0 % 21.75/5.92 | % 21.75/5.92 | From (328) and (136) follows: % 21.75/5.92 | (1907) op(e0, e3) = all_0_11_11 % 21.75/5.92 | % 21.75/5.92 | Instantiating formula (58) with e0, e3, all_0_11_11, all_0_36_36 and discharging atoms op(e0, e3) = all_0_11_11, op(e0, e3) = all_0_36_36, yields: % 21.75/5.92 | (1908) all_0_11_11 = all_0_36_36 % 21.75/5.92 | % 21.75/5.92 +-Applying beta-rule and splitting (146), into two cases. % 21.75/5.92 |-Branch one: % 21.75/5.92 | (245) ~ (all_0_34_34 = e0) % 21.75/5.92 | % 21.75/5.92 +-Applying beta-rule and splitting (141), into two cases. % 21.75/5.92 |-Branch one: % 21.75/5.92 | (391) all_0_32_32 = e0 % 21.75/5.92 | % 21.75/5.92 | Equations (391) can reduce 403 to: % 21.75/5.92 | (188) $false % 21.75/5.92 | % 21.75/5.92 |-The branch is then unsatisfiable % 21.75/5.92 |-Branch two: % 21.75/5.92 | (403) ~ (all_0_32_32 = e0) % 21.75/5.92 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 21.75/5.92 | % 21.75/5.92 +-Applying beta-rule and splitting (404), into two cases. % 21.75/5.92 |-Branch one: % 21.75/5.92 | (882) all_0_33_33 = e0 % 21.75/5.92 | % 21.75/5.92 | Equations (882) can reduce 114 to: % 21.75/5.92 | (726) ~ (all_0_25_25 = e0) % 21.75/5.92 | % 21.75/5.92 | Equations (882) can reduce 2 to: % 21.75/5.92 | (403) ~ (all_0_32_32 = e0) % 21.75/5.92 | % 21.75/5.92 | Equations (882) can reduce 20 to: % 21.75/5.92 | (1121) ~ (all_0_34_34 = e0) % 21.75/5.92 | % 21.75/5.92 | Simplifying 1121 yields: % 21.75/5.92 | (245) ~ (all_0_34_34 = e0) % 21.75/5.92 | % 21.75/5.92 | Equations (882) can reduce 106 to: % 21.75/5.92 | (392) ~ (all_0_35_35 = e0) % 21.75/5.92 | % 21.75/5.92 | Simplifying 392 yields: % 21.75/5.92 | (201) ~ (all_0_35_35 = e0) % 21.75/5.92 | % 21.75/5.92 | Equations (882) can reduce 182 to: % 21.75/5.92 | (314) ~ (all_0_37_37 = e0) % 21.75/5.92 | % 21.75/5.92 | Simplifying 314 yields: % 21.75/5.92 | (203) ~ (all_0_37_37 = e0) % 21.75/5.92 | % 21.75/5.92 | From (882) and (157) follows: % 21.75/5.92 | (1923) op(e2, e0) = all_0_17_17 % 21.75/5.92 | % 21.75/5.92 +-Applying beta-rule and splitting (56), into two cases. % 21.75/5.92 |-Branch one: % 21.75/5.92 | (321) all_0_26_26 = e0 % 21.75/5.92 | % 21.75/5.92 | Equations (321) can reduce 541 to: % 21.75/5.92 | (188) $false % 21.75/5.92 | % 21.75/5.92 |-The branch is then unsatisfiable % 21.75/5.92 |-Branch two: % 21.75/5.92 | (541) ~ (all_0_26_26 = e0) % 21.75/5.92 | (542) all_0_30_30 = e0 | all_0_34_34 = e0 | all_0_38_38 = e0 % 21.75/5.92 | % 21.75/5.92 +-Applying beta-rule and splitting (542), into two cases. % 21.75/5.92 |-Branch one: % 21.75/5.92 | (557) all_0_30_30 = e0 % 21.75/5.92 | % 21.75/5.92 | Equations (557) can reduce 159 to: % 21.75/5.92 | (311) ~ (all_0_28_28 = e0) % 21.75/5.92 | % 21.75/5.92 | Equations (557) can reduce 133 to: % 21.75/5.92 | (286) ~ (all_0_29_29 = e0) % 21.75/5.92 | % 21.75/5.92 | Equations (557) can reduce 168 to: % 21.75/5.92 | (836) ~ (all_0_31_31 = e0) % 21.75/5.92 | % 21.75/5.92 | Simplifying 836 yields: % 21.75/5.92 | (200) ~ (all_0_31_31 = e0) % 21.75/5.92 | % 21.75/5.92 | Equations (557) can reduce 15 to: % 21.75/5.92 | (1337) ~ (all_0_38_38 = e0) % 21.75/5.92 | % 21.75/5.92 | Simplifying 1337 yields: % 21.75/5.92 | (204) ~ (all_0_38_38 = e0) % 21.75/5.92 | % 21.75/5.92 | From (557) and (21) follows: % 21.75/5.92 | (1935) op(e1, e0) = all_0_14_14 % 21.75/5.92 | % 21.75/5.92 +-Applying beta-rule and splitting (76), into two cases. % 21.75/5.92 |-Branch one: % 21.75/5.92 | (247) ~ (all_0_34_34 = e2) % 21.75/5.92 | % 21.75/5.92 | Instantiating formula (58) with e2, e0, all_0_17_17, all_0_31_31 and discharging atoms op(e2, e0) = all_0_17_17, op(e2, e0) = all_0_31_31, yields: % 21.75/5.92 | (1937) all_0_17_17 = all_0_31_31 % 21.75/5.92 | % 21.75/5.92 | Instantiating formula (58) with e1, e0, all_0_14_14, all_0_35_35 and discharging atoms op(e1, e0) = all_0_14_14, op(e1, e0) = all_0_35_35, yields: % 21.75/5.92 | (1938) all_0_14_14 = all_0_35_35 % 21.75/5.92 | % 21.75/5.92 | From (1937) and (1923) follows: % 21.75/5.92 | (177) op(e2, e0) = all_0_31_31 % 21.75/5.92 | % 21.75/5.92 | From (1938) and (1935) follows: % 21.75/5.92 | (88) op(e1, e0) = all_0_35_35 % 21.75/5.92 | % 21.75/5.92 +-Applying beta-rule and splitting (154), into two cases. % 21.75/5.92 |-Branch one: % 21.75/5.92 | (244) ~ (all_0_34_34 = e3) % 21.75/5.92 | % 21.75/5.92 +-Applying beta-rule and splitting (174), into two cases. % 21.75/5.92 |-Branch one: % 21.75/5.92 | (543) all_0_26_26 = e3 % 21.75/5.92 | % 21.75/5.92 | Equations (543) can reduce 225 to: % 21.75/5.92 | (188) $false % 21.75/5.92 | % 21.75/5.92 |-The branch is then unsatisfiable % 21.75/5.92 |-Branch two: % 21.75/5.92 | (225) ~ (all_0_26_26 = e3) % 21.75/5.92 | (683) all_0_30_30 = e3 | all_0_34_34 = e3 | all_0_38_38 = e3 % 21.75/5.92 | % 21.75/5.92 +-Applying beta-rule and splitting (683), into two cases. % 21.75/5.92 |-Branch one: % 21.75/5.92 | (561) all_0_30_30 = e3 % 21.75/5.92 | % 21.75/5.92 | Combining equations (561,557) yields a new equation: % 21.75/5.92 | (425) e3 = e0 % 21.75/5.92 | % 21.75/5.92 | Simplifying 425 yields: % 21.75/5.92 | (370) e3 = e0 % 21.75/5.92 | % 21.75/5.92 | Equations (370) can reduce 79 to: % 21.75/5.92 | (188) $false % 21.75/5.92 | % 21.75/5.92 |-The branch is then unsatisfiable % 21.75/5.92 |-Branch two: % 21.75/5.92 | (556) ~ (all_0_30_30 = e3) % 21.75/5.92 | (941) all_0_34_34 = e3 | all_0_38_38 = e3 % 21.75/5.92 | % 21.75/5.92 +-Applying beta-rule and splitting (941), into two cases. % 21.75/5.92 |-Branch one: % 21.75/5.92 | (248) all_0_34_34 = e3 % 21.75/5.92 | % 21.75/5.92 | Equations (248) can reduce 244 to: % 21.75/5.92 | (188) $false % 21.75/5.92 | % 21.75/5.92 |-The branch is then unsatisfiable % 21.75/5.92 |-Branch two: % 21.75/5.92 | (244) ~ (all_0_34_34 = e3) % 21.75/5.92 | (489) all_0_38_38 = e3 % 21.75/5.92 | % 21.75/5.92 | Equations (489) can reduce 23 to: % 21.75/5.92 | (233) ~ (all_0_36_36 = e3) % 21.75/5.92 | % 21.75/5.92 | Equations (489) can reduce 63 to: % 21.75/5.92 | (481) ~ (all_0_37_37 = e3) % 21.75/5.92 | % 21.75/5.92 | Equations (489) can reduce 204 to: % 21.75/5.92 | (79) ~ (e3 = e0) % 21.75/5.92 | % 21.75/5.92 +-Applying beta-rule and splitting (80), into two cases. % 21.75/5.92 |-Branch one: % 21.75/5.92 | (363) all_0_25_25 = e3 % 21.75/5.92 | % 21.75/5.92 | Equations (363) can reduce 223 to: % 21.75/5.92 | (188) $false % 21.75/5.92 | % 21.75/5.92 |-The branch is then unsatisfiable % 21.75/5.92 |-Branch two: % 21.75/5.92 | (223) ~ (all_0_25_25 = e3) % 21.75/5.92 | (368) all_0_29_29 = e3 | all_0_33_33 = e3 | all_0_37_37 = e3 % 21.75/5.92 | % 21.75/5.92 +-Applying beta-rule and splitting (368), into two cases. % 21.75/5.92 |-Branch one: % 21.75/5.92 | (287) all_0_29_29 = e3 % 21.75/5.92 | % 21.75/5.92 | Equations (287) can reduce 47 to: % 21.75/5.92 | (223) ~ (all_0_25_25 = e3) % 21.75/5.92 | % 21.75/5.92 | Equations (287) can reduce 118 to: % 21.75/5.92 | (229) ~ (all_0_28_28 = e3) % 21.75/5.92 | % 21.75/5.92 | Equations (287) can reduce 53 to: % 21.75/5.92 | (711) ~ (all_0_31_31 = e3) % 21.75/5.92 | % 21.75/5.92 | Simplifying 711 yields: % 21.75/5.92 | (419) ~ (all_0_31_31 = e3) % 21.75/5.92 | % 21.75/5.92 | Equations (287) can reduce 35 to: % 21.75/5.92 | (1388) ~ (all_0_37_37 = e3) % 21.75/5.92 | % 21.75/5.92 | Simplifying 1388 yields: % 21.75/5.92 | (481) ~ (all_0_37_37 = e3) % 21.75/5.92 | % 21.75/5.92 | Equations (287) can reduce 286 to: % 21.75/5.92 | (79) ~ (e3 = e0) % 21.75/5.92 | % 21.75/5.92 | From (287)(287) and (45) follows: % 21.75/5.92 | (1971) op(e3, e3) = all_0_5_5 % 21.75/5.92 | % 21.75/5.92 +-Applying beta-rule and splitting (164), into two cases. % 21.75/5.92 |-Branch one: % 21.75/5.92 | (246) ~ (all_0_29_29 = e3) % 21.75/5.92 | % 21.75/5.92 | Equations (287) can reduce 246 to: % 21.75/5.92 | (188) $false % 21.75/5.92 | % 21.75/5.92 |-The branch is then unsatisfiable % 21.75/5.92 |-Branch two: % 21.75/5.92 | (287) all_0_29_29 = e3 % 21.75/5.92 | (849) all_0_28_28 = e2 % 21.75/5.92 | % 21.75/5.92 | Equations (849) can reduce 30 to: % 21.75/5.92 | (1045) ~ (all_0_31_31 = e2) % 21.75/5.92 | % 21.75/5.92 | Simplifying 1045 yields: % 21.75/5.92 | (817) ~ (all_0_31_31 = e2) % 21.75/5.92 | % 21.75/5.92 | Equations (849) can reduce 95 to: % 21.75/5.92 | (1047) ~ (all_0_32_32 = e2) % 21.75/5.92 | % 21.75/5.92 | Simplifying 1047 yields: % 21.75/5.92 | (428) ~ (all_0_32_32 = e2) % 21.75/5.92 | % 21.75/5.92 | Equations (849) can reduce 52 to: % 21.75/5.92 | (1049) ~ (all_0_36_36 = e2) % 21.75/5.92 | % 21.75/5.92 | Simplifying 1049 yields: % 21.75/5.92 | (828) ~ (all_0_36_36 = e2) % 21.75/5.92 | % 21.75/5.92 | Equations (849) can reduce 229 to: % 21.75/5.92 | (340) ~ (e3 = e2) % 21.75/5.92 | % 21.75/5.92 | Simplifying 340 yields: % 21.75/5.92 | (62) ~ (e3 = e2) % 21.75/5.92 | % 21.75/5.92 | Equations (849) can reduce 311 to: % 21.75/5.92 | (87) ~ (e2 = e0) % 21.75/5.92 | % 21.75/5.92 +-Applying beta-rule and splitting (54), into two cases. % 21.75/5.92 |-Branch one: % 21.75/5.92 | (408) all_0_32_32 = e3 % 21.75/5.92 | % 21.75/5.92 | Equations (408) can reduce 166 to: % 21.75/5.92 | (1986) ~ (all_0_34_34 = e3) % 21.75/5.92 | % 21.75/5.92 | Simplifying 1986 yields: % 21.75/5.92 | (244) ~ (all_0_34_34 = e3) % 21.75/5.92 | % 21.75/5.93 | Equations (408) can reduce 428 to: % 21.75/5.93 | (62) ~ (e3 = e2) % 21.75/5.93 | % 21.75/5.93 +-Applying beta-rule and splitting (98), into two cases. % 21.75/5.93 |-Branch one: % 21.75/5.93 | (732) all_0_36_36 = e2 % 21.75/5.93 | % 21.75/5.93 | Equations (732) can reduce 828 to: % 21.75/5.93 | (188) $false % 21.75/5.93 | % 21.75/5.93 |-The branch is then unsatisfiable % 21.75/5.93 |-Branch two: % 21.75/5.93 | (828) ~ (all_0_36_36 = e2) % 21.75/5.93 | (829) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2 % 21.75/5.93 | % 21.75/5.93 +-Applying beta-rule and splitting (829), into two cases. % 21.75/5.93 |-Branch one: % 21.75/5.93 | (814) all_0_37_37 = e2 % 21.75/5.93 | % 21.75/5.93 | Equations (814) can reduce 481 to: % 21.75/5.93 | (340) ~ (e3 = e2) % 21.75/5.93 | % 21.75/5.93 | Simplifying 340 yields: % 21.75/5.93 | (62) ~ (e3 = e2) % 21.75/5.93 | % 21.75/5.93 | Equations (814) can reduce 203 to: % 21.75/5.93 | (87) ~ (e2 = e0) % 21.75/5.93 | % 21.75/5.93 +-Applying beta-rule and splitting (13), into two cases. % 21.75/5.93 |-Branch one: % 21.75/5.93 | (539) all_0_27_27 = e2 % 21.75/5.93 | % 21.75/5.93 | Combining equations (328,539) yields a new equation: % 21.75/5.93 | (364) e3 = e2 % 21.75/5.93 | % 21.75/5.93 | Simplifying 364 yields: % 21.75/5.93 | (333) e3 = e2 % 21.75/5.93 | % 21.75/5.93 | Equations (333) can reduce 62 to: % 21.75/5.93 | (188) $false % 21.75/5.93 | % 21.75/5.93 |-The branch is then unsatisfiable % 21.75/5.93 |-Branch two: % 21.75/5.93 | (310) ~ (all_0_27_27 = e2) % 21.75/5.93 | (741) all_0_31_31 = e2 | all_0_35_35 = e2 | all_0_39_39 = e2 % 21.75/5.93 | % 21.75/5.93 | Equations (328) can reduce 310 to: % 21.75/5.93 | (62) ~ (e3 = e2) % 21.75/5.93 | % 21.75/5.93 +-Applying beta-rule and splitting (14), into two cases. % 21.75/5.93 |-Branch one: % 21.75/5.93 | (405) all_0_32_32 = e2 % 21.75/5.93 | % 21.75/5.93 | Combining equations (408,405) yields a new equation: % 21.75/5.93 | (364) e3 = e2 % 21.75/5.93 | % 21.75/5.93 | Simplifying 364 yields: % 21.75/5.93 | (333) e3 = e2 % 21.75/5.93 | % 21.75/5.93 | Equations (333) can reduce 62 to: % 21.75/5.93 | (188) $false % 21.75/5.93 | % 21.75/5.93 |-The branch is then unsatisfiable % 21.75/5.93 |-Branch two: % 21.75/5.93 | (428) ~ (all_0_32_32 = e2) % 21.75/5.93 | (429) all_0_33_33 = e2 | all_0_34_34 = e2 | all_0_35_35 = e2 % 21.75/5.93 | % 21.75/5.93 +-Applying beta-rule and splitting (429), into two cases. % 21.75/5.93 |-Branch one: % 21.75/5.93 | (810) all_0_33_33 = e2 % 21.75/5.93 | % 21.75/5.93 | Combining equations (882,810) yields a new equation: % 21.75/5.93 | (536) e2 = e0 % 21.75/5.93 | % 21.75/5.93 | Equations (536) can reduce 87 to: % 21.75/5.93 | (188) $false % 21.75/5.93 | % 21.75/5.93 |-The branch is then unsatisfiable % 21.75/5.93 |-Branch two: % 21.75/5.93 | (813) ~ (all_0_33_33 = e2) % 21.75/5.93 | (1658) all_0_34_34 = e2 | all_0_35_35 = e2 % 21.75/5.93 | % 21.75/5.93 +-Applying beta-rule and splitting (135), into two cases. % 21.75/5.93 |-Branch one: % 21.75/5.93 | (248) all_0_34_34 = e3 % 21.75/5.93 | % 21.75/5.93 | Equations (248) can reduce 244 to: % 21.75/5.93 | (188) $false % 21.75/5.93 | % 21.75/5.93 |-The branch is then unsatisfiable % 21.75/5.93 |-Branch two: % 21.75/5.93 | (244) ~ (all_0_34_34 = e3) % 21.75/5.93 | (251) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0 % 21.75/5.93 | % 21.75/5.93 +-Applying beta-rule and splitting (251), into two cases. % 21.75/5.93 |-Branch one: % 21.75/5.93 | (252) all_0_34_34 = e2 % 21.75/5.93 | % 21.75/5.93 | Equations (252) can reduce 247 to: % 21.75/5.93 | (188) $false % 21.75/5.93 | % 21.75/5.93 |-The branch is then unsatisfiable % 21.75/5.93 |-Branch two: % 21.75/5.93 | (247) ~ (all_0_34_34 = e2) % 21.75/5.93 | (255) all_0_34_34 = e1 | all_0_34_34 = e0 % 21.75/5.93 | % 21.75/5.93 +-Applying beta-rule and splitting (1658), into two cases. % 21.75/5.93 |-Branch one: % 21.75/5.93 | (252) all_0_34_34 = e2 % 21.75/5.93 | % 21.75/5.93 | Equations (252) can reduce 247 to: % 21.75/5.93 | (188) $false % 21.75/5.93 | % 21.75/5.93 |-The branch is then unsatisfiable % 21.75/5.93 |-Branch two: % 21.75/5.93 | (247) ~ (all_0_34_34 = e2) % 21.75/5.93 | (394) all_0_35_35 = e2 % 21.75/5.93 | % 21.75/5.93 | Equations (394) can reduce 147 to: % 21.75/5.93 | (817) ~ (all_0_31_31 = e2) % 21.75/5.93 | % 21.75/5.93 +-Applying beta-rule and splitting (10), into two cases. % 21.75/5.93 |-Branch one: % 21.75/5.93 | (416) all_0_31_31 = e3 % 21.75/5.93 | % 21.75/5.93 | Equations (416) can reduce 419 to: % 21.75/5.93 | (188) $false % 21.75/5.93 | % 21.75/5.93 |-The branch is then unsatisfiable % 21.75/5.93 |-Branch two: % 21.75/5.93 | (419) ~ (all_0_31_31 = e3) % 21.75/5.93 | (967) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0 % 21.75/5.93 | % 21.75/5.93 +-Applying beta-rule and splitting (967), into two cases. % 21.75/5.93 |-Branch one: % 21.75/5.93 | (309) all_0_31_31 = e2 % 21.75/5.93 | % 21.75/5.93 | Equations (309) can reduce 817 to: % 21.75/5.93 | (188) $false % 21.75/5.93 | % 21.75/5.93 |-The branch is then unsatisfiable % 21.75/5.93 |-Branch two: % 21.75/5.93 | (817) ~ (all_0_31_31 = e2) % 21.75/5.93 | (996) all_0_31_31 = e1 | all_0_31_31 = e0 % 21.75/5.93 | % 21.75/5.93 +-Applying beta-rule and splitting (996), into two cases. % 21.75/5.93 |-Branch one: % 21.75/5.93 | (483) all_0_31_31 = e1 % 21.75/5.93 | % 21.75/5.93 | From (483) and (177) follows: % 21.75/5.93 | (2037) op(e2, e0) = e1 % 21.75/5.93 | % 21.75/5.93 | Instantiating formula (58) with e3, e3, all_0_5_5, e0 and discharging atoms op(e3, e3) = all_0_5_5, op(e3, e3) = e0, yields: % 21.75/5.93 | (2038) all_0_5_5 = e0 % 21.75/5.93 | % 21.75/5.93 | From (2038) and (5) follows: % 21.75/5.93 | (2039) op(e2, e0) = all_0_4_4 % 21.75/5.93 | % 21.75/5.93 +-Applying beta-rule and splitting (99), into two cases. % 21.75/5.93 |-Branch one: % 21.75/5.93 | (2040) ~ (all_0_4_4 = e1) % 21.75/5.93 | % 21.75/5.93 | Instantiating formula (58) with e2, e0, all_0_4_4, e1 and discharging atoms op(e2, e0) = all_0_4_4, op(e2, e0) = e1, yields: % 21.75/5.93 | (2041) all_0_4_4 = e1 % 21.75/5.93 | % 21.75/5.93 | Equations (2041) can reduce 2040 to: % 21.75/5.93 | (188) $false % 21.75/5.93 | % 21.75/5.93 |-The branch is then unsatisfiable % 21.75/5.93 |-Branch two: % 21.75/5.93 | (2041) all_0_4_4 = e1 % 21.75/5.93 | (2044) ~ (all_0_5_5 = e0) | ~ (all_0_29_29 = e3) % 21.75/5.93 | % 21.75/5.93 +-Applying beta-rule and splitting (2044), into two cases. % 21.75/5.93 |-Branch one: % 21.75/5.93 | (2045) ~ (all_0_5_5 = e0) % 21.75/5.93 | % 21.75/5.93 | Equations (2038) can reduce 2045 to: % 21.75/5.93 | (188) $false % 21.75/5.93 | % 21.75/5.93 |-The branch is then unsatisfiable % 21.75/5.93 |-Branch two: % 21.75/5.93 | (2038) all_0_5_5 = e0 % 21.75/5.93 | (246) ~ (all_0_29_29 = e3) % 21.75/5.93 | % 21.75/5.93 | Equations (287) can reduce 246 to: % 21.75/5.93 | (188) $false % 21.75/5.93 | % 21.75/5.93 |-The branch is then unsatisfiable % 21.75/5.93 |-Branch two: % 21.75/5.93 | (487) ~ (all_0_31_31 = e1) % 21.75/5.93 | (938) all_0_31_31 = e0 % 21.75/5.93 | % 21.75/5.93 | Equations (938) can reduce 200 to: % 21.75/5.93 | (188) $false % 21.75/5.93 | % 21.75/5.93 |-The branch is then unsatisfiable % 21.75/5.93 |-Branch two: % 21.75/5.93 | (339) ~ (all_0_37_37 = e2) % 21.75/5.93 | (2054) all_0_38_38 = e2 | all_0_39_39 = e2 % 21.75/5.93 | % 21.75/5.93 +-Applying beta-rule and splitting (13), into two cases. % 21.75/5.93 |-Branch one: % 21.75/5.93 | (539) all_0_27_27 = e2 % 21.75/5.93 | % 21.75/5.93 | Combining equations (328,539) yields a new equation: % 21.75/5.93 | (364) e3 = e2 % 21.75/5.93 | % 21.75/5.93 | Simplifying 364 yields: % 21.75/5.93 | (333) e3 = e2 % 21.75/5.93 | % 21.75/5.93 | Equations (333) can reduce 62 to: % 21.75/5.93 | (188) $false % 21.75/5.93 | % 22.20/5.93 |-The branch is then unsatisfiable % 22.20/5.93 |-Branch two: % 22.20/5.93 | (310) ~ (all_0_27_27 = e2) % 22.20/5.93 | (741) all_0_31_31 = e2 | all_0_35_35 = e2 | all_0_39_39 = e2 % 22.20/5.93 | % 22.20/5.93 | Equations (328) can reduce 310 to: % 22.20/5.93 | (62) ~ (e3 = e2) % 22.20/5.93 | % 22.20/5.93 +-Applying beta-rule and splitting (14), into two cases. % 22.20/5.93 |-Branch one: % 22.20/5.93 | (405) all_0_32_32 = e2 % 22.20/5.93 | % 22.20/5.93 | Combining equations (408,405) yields a new equation: % 22.20/5.93 | (364) e3 = e2 % 22.20/5.93 | % 22.20/5.93 | Simplifying 364 yields: % 22.20/5.93 | (333) e3 = e2 % 22.20/5.93 | % 22.20/5.93 | Equations (333) can reduce 62 to: % 22.20/5.93 | (188) $false % 22.20/5.93 | % 22.20/5.93 |-The branch is then unsatisfiable % 22.20/5.93 |-Branch two: % 22.20/5.93 | (428) ~ (all_0_32_32 = e2) % 22.20/5.93 | (429) all_0_33_33 = e2 | all_0_34_34 = e2 | all_0_35_35 = e2 % 22.20/5.93 | % 22.20/5.93 | Equations (408) can reduce 428 to: % 22.20/5.93 | (62) ~ (e3 = e2) % 22.20/5.93 | % 22.20/5.93 +-Applying beta-rule and splitting (158), into two cases. % 22.20/5.93 |-Branch one: % 22.20/5.93 | (332) all_0_24_24 = e2 % 22.20/5.93 | % 22.20/5.93 | Combining equations (332,1082) yields a new equation: % 22.20/5.93 | (535) e2 = e0 % 22.20/5.93 | % 22.20/5.93 | Simplifying 535 yields: % 22.20/5.93 | (536) e2 = e0 % 22.20/5.93 | % 22.20/5.93 | Equations (536) can reduce 87 to: % 22.20/5.93 | (188) $false % 22.20/5.93 | % 22.20/5.93 |-The branch is then unsatisfiable % 22.20/5.93 |-Branch two: % 22.20/5.93 | (219) ~ (all_0_24_24 = e2) % 22.20/5.93 | (336) all_0_25_25 = e2 | all_0_26_26 = e2 | all_0_27_27 = e2 % 22.20/5.93 | % 22.20/5.93 | Equations (1082) can reduce 219 to: % 22.20/5.93 | (207) ~ (e2 = e0) % 22.20/5.93 | % 22.20/5.93 | Simplifying 207 yields: % 22.20/5.93 | (87) ~ (e2 = e0) % 22.20/5.93 | % 22.20/5.93 +-Applying beta-rule and splitting (85), into two cases. % 22.20/5.93 |-Branch one: % 22.20/5.93 | (337) all_0_25_25 = e2 % 22.20/5.93 | % 22.20/5.93 | Equations (337) can reduce 223 to: % 22.20/5.93 | (340) ~ (e3 = e2) % 22.20/5.93 | % 22.20/5.93 | Simplifying 340 yields: % 22.20/5.93 | (62) ~ (e3 = e2) % 22.20/5.93 | % 22.20/5.93 | Equations (337) can reduce 726 to: % 22.20/5.93 | (87) ~ (e2 = e0) % 22.20/5.93 | % 22.20/5.93 +-Applying beta-rule and splitting (429), into two cases. % 22.20/5.93 |-Branch one: % 22.20/5.93 | (810) all_0_33_33 = e2 % 22.20/5.93 | % 22.20/5.93 | Combining equations (882,810) yields a new equation: % 22.20/5.93 | (536) e2 = e0 % 22.20/5.93 | % 22.20/5.93 | Equations (536) can reduce 87 to: % 22.20/5.93 | (188) $false % 22.20/5.93 | % 22.20/5.93 |-The branch is then unsatisfiable % 22.20/5.93 |-Branch two: % 22.20/5.93 | (813) ~ (all_0_33_33 = e2) % 22.20/5.93 | (1658) all_0_34_34 = e2 | all_0_35_35 = e2 % 22.20/5.93 | % 22.20/5.93 | Equations (882) can reduce 813 to: % 22.20/5.93 | (207) ~ (e2 = e0) % 22.20/5.93 | % 22.20/5.93 | Simplifying 207 yields: % 22.20/5.93 | (87) ~ (e2 = e0) % 22.20/5.93 | % 22.20/5.93 +-Applying beta-rule and splitting (2054), into two cases. % 22.20/5.93 |-Branch one: % 22.20/5.93 | (576) all_0_38_38 = e2 % 22.20/5.93 | % 22.20/5.93 | Combining equations (489,576) yields a new equation: % 22.20/5.93 | (364) e3 = e2 % 22.20/5.93 | % 22.20/5.93 | Simplifying 364 yields: % 22.20/5.93 | (333) e3 = e2 % 22.20/5.93 | % 22.20/5.93 | Equations (333) can reduce 62 to: % 22.20/5.93 | (188) $false % 22.20/5.93 | % 22.20/5.93 |-The branch is then unsatisfiable % 22.20/5.93 |-Branch two: % 22.20/5.93 | (554) ~ (all_0_38_38 = e2) % 22.20/5.93 | (191) all_0_39_39 = e2 % 22.20/5.93 | % 22.20/5.93 | Combining equations (191,198) yields a new equation: % 22.20/5.93 | (535) e2 = e0 % 22.20/5.93 | % 22.20/5.93 | Simplifying 535 yields: % 22.20/5.93 | (536) e2 = e0 % 22.20/5.93 | % 22.20/5.93 | Equations (536) can reduce 87 to: % 22.20/5.93 | (188) $false % 22.20/5.93 | % 22.20/5.93 |-The branch is then unsatisfiable % 22.20/5.93 |-Branch two: % 22.20/5.93 | (532) ~ (all_0_25_25 = e2) % 22.20/5.93 | (805) all_0_29_29 = e2 | all_0_33_33 = e2 | all_0_37_37 = e2 % 22.20/5.93 | % 22.20/5.93 +-Applying beta-rule and splitting (805), into two cases. % 22.20/5.93 |-Branch one: % 22.20/5.93 | (291) all_0_29_29 = e2 % 22.20/5.93 | % 22.20/5.93 | Combining equations (287,291) yields a new equation: % 22.20/5.93 | (364) e3 = e2 % 22.20/5.93 | % 22.20/5.93 | Simplifying 364 yields: % 22.20/5.93 | (333) e3 = e2 % 22.20/5.93 | % 22.20/5.93 | Equations (333) can reduce 62 to: % 22.20/5.93 | (188) $false % 22.20/5.93 | % 22.20/5.93 |-The branch is then unsatisfiable % 22.20/5.93 |-Branch two: % 22.20/5.93 | (301) ~ (all_0_29_29 = e2) % 22.20/5.93 | (809) all_0_33_33 = e2 | all_0_37_37 = e2 % 22.20/5.93 | % 22.20/5.93 +-Applying beta-rule and splitting (809), into two cases. % 22.20/5.93 |-Branch one: % 22.20/5.93 | (810) all_0_33_33 = e2 % 22.20/5.93 | % 22.20/5.93 | Combining equations (810,882) yields a new equation: % 22.20/5.93 | (535) e2 = e0 % 22.20/5.93 | % 22.20/5.93 | Simplifying 535 yields: % 22.20/5.93 | (536) e2 = e0 % 22.20/5.93 | % 22.20/5.93 | Equations (536) can reduce 87 to: % 22.20/5.93 | (188) $false % 22.20/5.93 | % 22.20/5.93 |-The branch is then unsatisfiable % 22.20/5.93 |-Branch two: % 22.20/5.93 | (813) ~ (all_0_33_33 = e2) % 22.20/5.93 | (814) all_0_37_37 = e2 % 22.20/5.93 | % 22.20/5.93 | Equations (814) can reduce 339 to: % 22.20/5.93 | (188) $false % 22.20/5.93 | % 22.20/5.93 |-The branch is then unsatisfiable % 22.20/5.93 |-Branch two: % 22.20/5.93 | (231) ~ (all_0_32_32 = e3) % 22.20/5.93 | (413) all_0_33_33 = e3 | all_0_34_34 = e3 | all_0_35_35 = e3 % 22.20/5.93 | % 22.20/5.93 +-Applying beta-rule and splitting (13), into two cases. % 22.20/5.93 |-Branch one: % 22.20/5.93 | (539) all_0_27_27 = e2 % 22.20/5.93 | % 22.20/5.93 | Combining equations (328,539) yields a new equation: % 22.20/5.93 | (364) e3 = e2 % 22.20/5.93 | % 22.20/5.93 | Simplifying 364 yields: % 22.20/5.93 | (333) e3 = e2 % 22.20/5.94 | % 22.20/5.94 | Equations (333) can reduce 62 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (310) ~ (all_0_27_27 = e2) % 22.20/5.94 | (741) all_0_31_31 = e2 | all_0_35_35 = e2 | all_0_39_39 = e2 % 22.20/5.94 | % 22.20/5.94 +-Applying beta-rule and splitting (142), into two cases. % 22.20/5.94 |-Branch one: % 22.20/5.94 | (221) all_0_24_24 = e3 % 22.20/5.94 | % 22.20/5.94 | Combining equations (221,1082) yields a new equation: % 22.20/5.94 | (425) e3 = e0 % 22.20/5.94 | % 22.20/5.94 | Simplifying 425 yields: % 22.20/5.94 | (370) e3 = e0 % 22.20/5.94 | % 22.20/5.94 | Equations (370) can reduce 79 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (1876) ~ (all_0_24_24 = e3) % 22.20/5.94 | (2125) all_0_28_28 = e3 | all_0_32_32 = e3 | all_0_36_36 = e3 % 22.20/5.94 | % 22.20/5.94 +-Applying beta-rule and splitting (158), into two cases. % 22.20/5.94 |-Branch one: % 22.20/5.94 | (332) all_0_24_24 = e2 % 22.20/5.94 | % 22.20/5.94 | Combining equations (332,1082) yields a new equation: % 22.20/5.94 | (535) e2 = e0 % 22.20/5.94 | % 22.20/5.94 | Simplifying 535 yields: % 22.20/5.94 | (536) e2 = e0 % 22.20/5.94 | % 22.20/5.94 | Equations (536) can reduce 87 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (219) ~ (all_0_24_24 = e2) % 22.20/5.94 | (336) all_0_25_25 = e2 | all_0_26_26 = e2 | all_0_27_27 = e2 % 22.20/5.94 | % 22.20/5.94 | Equations (1082) can reduce 219 to: % 22.20/5.94 | (207) ~ (e2 = e0) % 22.20/5.94 | % 22.20/5.94 | Simplifying 207 yields: % 22.20/5.94 | (87) ~ (e2 = e0) % 22.20/5.94 | % 22.20/5.94 +-Applying beta-rule and splitting (124), into two cases. % 22.20/5.94 |-Branch one: % 22.20/5.94 | (408) all_0_32_32 = e3 % 22.20/5.94 | % 22.20/5.94 | Equations (408) can reduce 231 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (231) ~ (all_0_32_32 = e3) % 22.20/5.94 | (433) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0 % 22.20/5.94 | % 22.20/5.94 +-Applying beta-rule and splitting (741), into two cases. % 22.20/5.94 |-Branch one: % 22.20/5.94 | (309) all_0_31_31 = e2 % 22.20/5.94 | % 22.20/5.94 | Equations (309) can reduce 817 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (817) ~ (all_0_31_31 = e2) % 22.20/5.94 | (818) all_0_35_35 = e2 | all_0_39_39 = e2 % 22.20/5.94 | % 22.20/5.94 +-Applying beta-rule and splitting (818), into two cases. % 22.20/5.94 |-Branch one: % 22.20/5.94 | (394) all_0_35_35 = e2 % 22.20/5.94 | % 22.20/5.94 | Equations (394) can reduce 389 to: % 22.20/5.94 | (340) ~ (e3 = e2) % 22.20/5.94 | % 22.20/5.94 | Simplifying 340 yields: % 22.20/5.94 | (62) ~ (e3 = e2) % 22.20/5.94 | % 22.20/5.94 +-Applying beta-rule and splitting (2125), into two cases. % 22.20/5.94 |-Branch one: % 22.20/5.94 | (654) all_0_28_28 = e3 % 22.20/5.94 | % 22.20/5.94 | Combining equations (849,654) yields a new equation: % 22.20/5.94 | (333) e3 = e2 % 22.20/5.94 | % 22.20/5.94 | Equations (333) can reduce 62 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (229) ~ (all_0_28_28 = e3) % 22.20/5.94 | (2149) all_0_32_32 = e3 | all_0_36_36 = e3 % 22.20/5.94 | % 22.20/5.94 +-Applying beta-rule and splitting (2149), into two cases. % 22.20/5.94 |-Branch one: % 22.20/5.94 | (408) all_0_32_32 = e3 % 22.20/5.94 | % 22.20/5.94 | Equations (408) can reduce 231 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (231) ~ (all_0_32_32 = e3) % 22.20/5.94 | (454) all_0_36_36 = e3 % 22.20/5.94 | % 22.20/5.94 | Equations (454) can reduce 233 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (319) ~ (all_0_35_35 = e2) % 22.20/5.94 | (191) all_0_39_39 = e2 % 22.20/5.94 | % 22.20/5.94 | Combining equations (191,198) yields a new equation: % 22.20/5.94 | (535) e2 = e0 % 22.20/5.94 | % 22.20/5.94 | Simplifying 535 yields: % 22.20/5.94 | (536) e2 = e0 % 22.20/5.94 | % 22.20/5.94 | Equations (536) can reduce 87 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (246) ~ (all_0_29_29 = e3) % 22.20/5.94 | (373) all_0_33_33 = e3 | all_0_37_37 = e3 % 22.20/5.94 | % 22.20/5.94 +-Applying beta-rule and splitting (373), into two cases. % 22.20/5.94 |-Branch one: % 22.20/5.94 | (374) all_0_33_33 = e3 % 22.20/5.94 | % 22.20/5.94 | Combining equations (374,882) yields a new equation: % 22.20/5.94 | (425) e3 = e0 % 22.20/5.94 | % 22.20/5.94 | Simplifying 425 yields: % 22.20/5.94 | (370) e3 = e0 % 22.20/5.94 | % 22.20/5.94 | Equations (370) can reduce 79 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (359) ~ (all_0_33_33 = e3) % 22.20/5.94 | (377) all_0_37_37 = e3 % 22.20/5.94 | % 22.20/5.94 | Equations (377) can reduce 481 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (248) all_0_34_34 = e3 % 22.20/5.94 | (438) all_0_32_32 = e1 % 22.20/5.94 | % 22.20/5.94 | Equations (438,248) can reduce 166 to: % 22.20/5.94 | (691) ~ (e3 = e1) % 22.20/5.94 | % 22.20/5.94 | Simplifying 691 yields: % 22.20/5.94 | (74) ~ (e3 = e1) % 22.20/5.94 | % 22.20/5.94 | Equations (438) can reduce 89 to: % 22.20/5.94 | (260) ~ (all_0_35_35 = e1) % 22.20/5.94 | % 22.20/5.94 | Simplifying 260 yields: % 22.20/5.94 | (261) ~ (all_0_35_35 = e1) % 22.20/5.94 | % 22.20/5.94 | Equations (438) can reduce 403 to: % 22.20/5.94 | (153) ~ (e1 = e0) % 22.20/5.94 | % 22.20/5.94 | Equations (248) can reduce 49 to: % 22.20/5.94 | (1903) ~ (all_0_35_35 = e3) % 22.20/5.94 | % 22.20/5.94 | Simplifying 1903 yields: % 22.20/5.94 | (389) ~ (all_0_35_35 = e3) % 22.20/5.94 | % 22.20/5.94 | From (248)(248) and (28) follows: % 22.20/5.94 | (2178) op(e3, e3) = all_0_3_3 % 22.20/5.94 | % 22.20/5.94 +-Applying beta-rule and splitting (179), into two cases. % 22.20/5.94 |-Branch one: % 22.20/5.94 | (358) all_0_35_35 = e3 % 22.20/5.94 | % 22.20/5.94 | Equations (358) can reduce 389 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (389) ~ (all_0_35_35 = e3) % 22.20/5.94 | (390) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0 % 22.20/5.94 | % 22.20/5.94 +-Applying beta-rule and splitting (134), into two cases. % 22.20/5.94 |-Branch one: % 22.20/5.94 | (354) all_0_27_27 = e1 % 22.20/5.94 | % 22.20/5.94 | Combining equations (328,354) yields a new equation: % 22.20/5.94 | (492) e3 = e1 % 22.20/5.94 | % 22.20/5.94 | Simplifying 492 yields: % 22.20/5.94 | (387) e3 = e1 % 22.20/5.94 | % 22.20/5.94 | Equations (387) can reduce 74 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (443) ~ (all_0_27_27 = e1) % 22.20/5.94 | (444) all_0_31_31 = e1 | all_0_35_35 = e1 | all_0_39_39 = e1 % 22.20/5.94 | % 22.20/5.94 +-Applying beta-rule and splitting (390), into two cases. % 22.20/5.94 |-Branch one: % 22.20/5.94 | (394) all_0_35_35 = e2 % 22.20/5.94 | % 22.20/5.94 | From (394) and (88) follows: % 22.20/5.94 | (2190) op(e1, e0) = e2 % 22.20/5.94 | % 22.20/5.94 | Instantiating formula (58) with e3, e3, all_0_3_3, e0 and discharging atoms op(e3, e3) = all_0_3_3, op(e3, e3) = e0, yields: % 22.20/5.94 | (775) all_0_3_3 = e0 % 22.20/5.94 | % 22.20/5.94 | From (775) and (24) follows: % 22.20/5.94 | (777) op(e1, e0) = all_0_2_2 % 22.20/5.94 | % 22.20/5.94 +-Applying beta-rule and splitting (32), into two cases. % 22.20/5.94 |-Branch one: % 22.20/5.94 | (2193) ~ (all_0_2_2 = e2) % 22.20/5.94 | % 22.20/5.94 | Instantiating formula (58) with e1, e0, all_0_2_2, e2 and discharging atoms op(e1, e0) = all_0_2_2, op(e1, e0) = e2, yields: % 22.20/5.94 | (2194) all_0_2_2 = e2 % 22.20/5.94 | % 22.20/5.94 | Equations (2194) can reduce 2193 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (2194) all_0_2_2 = e2 % 22.20/5.94 | (2197) ~ (all_0_3_3 = e0) | ~ (all_0_34_34 = e3) % 22.20/5.94 | % 22.20/5.94 +-Applying beta-rule and splitting (2197), into two cases. % 22.20/5.94 |-Branch one: % 22.20/5.94 | (784) ~ (all_0_3_3 = e0) % 22.20/5.94 | % 22.20/5.94 | Equations (775) can reduce 784 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (775) all_0_3_3 = e0 % 22.20/5.94 | (244) ~ (all_0_34_34 = e3) % 22.20/5.94 | % 22.20/5.94 | Equations (248) can reduce 244 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (319) ~ (all_0_35_35 = e2) % 22.20/5.94 | (397) all_0_35_35 = e1 | all_0_35_35 = e0 % 22.20/5.94 | % 22.20/5.94 +-Applying beta-rule and splitting (444), into two cases. % 22.20/5.94 |-Branch one: % 22.20/5.94 | (483) all_0_31_31 = e1 % 22.20/5.94 | % 22.20/5.94 | Equations (483) can reduce 147 to: % 22.20/5.94 | (260) ~ (all_0_35_35 = e1) % 22.20/5.94 | % 22.20/5.94 | Simplifying 260 yields: % 22.20/5.94 | (261) ~ (all_0_35_35 = e1) % 22.20/5.94 | % 22.20/5.94 +-Applying beta-rule and splitting (397), into two cases. % 22.20/5.94 |-Branch one: % 22.20/5.94 | (398) all_0_35_35 = e1 % 22.20/5.94 | % 22.20/5.94 | Equations (398) can reduce 261 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (261) ~ (all_0_35_35 = e1) % 22.20/5.94 | (401) all_0_35_35 = e0 % 22.20/5.94 | % 22.20/5.94 | Equations (401) can reduce 201 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (487) ~ (all_0_31_31 = e1) % 22.20/5.94 | (488) all_0_35_35 = e1 | all_0_39_39 = e1 % 22.20/5.94 | % 22.20/5.94 +-Applying beta-rule and splitting (488), into two cases. % 22.20/5.94 |-Branch one: % 22.20/5.94 | (398) all_0_35_35 = e1 % 22.20/5.94 | % 22.20/5.94 | Equations (398) can reduce 261 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (261) ~ (all_0_35_35 = e1) % 22.20/5.94 | (195) all_0_39_39 = e1 % 22.20/5.94 | % 22.20/5.94 | Combining equations (198,195) yields a new equation: % 22.20/5.94 | (379) e1 = e0 % 22.20/5.94 | % 22.20/5.94 | Equations (379) can reduce 153 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (252) all_0_34_34 = e2 % 22.20/5.94 | (383) all_0_33_33 = e1 % 22.20/5.94 | % 22.20/5.94 | Combining equations (383,882) yields a new equation: % 22.20/5.94 | (510) e1 = e0 % 22.20/5.94 | % 22.20/5.94 | Simplifying 510 yields: % 22.20/5.94 | (379) e1 = e0 % 22.20/5.94 | % 22.20/5.94 | Equations (379) can reduce 153 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (313) ~ (all_0_30_30 = e0) % 22.20/5.94 | (560) all_0_34_34 = e0 | all_0_38_38 = e0 % 22.20/5.94 | % 22.20/5.94 +-Applying beta-rule and splitting (560), into two cases. % 22.20/5.94 |-Branch one: % 22.20/5.94 | (620) all_0_34_34 = e0 % 22.20/5.94 | % 22.20/5.94 | Equations (620) can reduce 245 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (245) ~ (all_0_34_34 = e0) % 22.20/5.94 | (583) all_0_38_38 = e0 % 22.20/5.94 | % 22.20/5.94 | Equations (583) can reduce 204 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (885) ~ (all_0_33_33 = e0) % 22.20/5.94 | (1032) all_0_34_34 = e0 | all_0_35_35 = e0 % 22.20/5.94 | % 22.20/5.94 +-Applying beta-rule and splitting (1032), into two cases. % 22.20/5.94 |-Branch one: % 22.20/5.94 | (620) all_0_34_34 = e0 % 22.20/5.94 | % 22.20/5.94 | Equations (620) can reduce 245 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (245) ~ (all_0_34_34 = e0) % 22.20/5.94 | (401) all_0_35_35 = e0 % 22.20/5.94 | % 22.20/5.94 | Equations (401) can reduce 201 to: % 22.20/5.94 | (188) $false % 22.20/5.94 | % 22.20/5.94 |-The branch is then unsatisfiable % 22.20/5.94 |-Branch two: % 22.20/5.94 | (620) all_0_34_34 = e0 % 22.20/5.94 | (398) all_0_35_35 = e1 % 22.20/5.94 | % 22.20/5.94 | Equations (398) can reduce 147 to: % 22.20/5.94 | (487) ~ (all_0_31_31 = e1) % 22.20/5.94 | % 22.20/5.94 | Equations (620) can reduce 166 to: % 22.20/5.94 | (403) ~ (all_0_32_32 = e0) % 22.20/5.94 | % 22.20/5.94 | Equations (398) can reduce 89 to: % 22.20/5.94 | (350) ~ (all_0_32_32 = e1) % 22.20/5.94 | % 22.20/5.94 | Equations (620) can reduce 20 to: % 22.20/5.94 | (885) ~ (all_0_33_33 = e0) % 22.20/5.94 | % 22.20/5.94 | Equations (398) can reduce 106 to: % 22.20/5.94 | (259) ~ (all_0_33_33 = e1) % 22.20/5.94 | % 22.20/5.94 | Equations (620) can reduce 105 to: % 22.20/5.94 | (1337) ~ (all_0_38_38 = e0) % 22.20/5.94 | % 22.20/5.94 | Simplifying 1337 yields: % 22.20/5.94 | (204) ~ (all_0_38_38 = e0) % 22.20/5.94 | % 22.20/5.94 | Equations (398) can reduce 389 to: % 22.20/5.95 | (691) ~ (e3 = e1) % 22.20/5.95 | % 22.20/5.95 | Simplifying 691 yields: % 22.20/5.95 | (74) ~ (e3 = e1) % 22.20/5.95 | % 22.20/5.95 | From (398) and (170) follows: % 22.20/5.95 | (2251) op(e0, e1) = all_0_19_19 % 22.20/5.95 | % 22.20/5.95 +-Applying beta-rule and splitting (10), into two cases. % 22.20/5.95 |-Branch one: % 22.20/5.95 | (416) all_0_31_31 = e3 % 22.20/5.95 | % 22.20/5.95 | Equations (416) can reduce 419 to: % 22.20/5.95 | (188) $false % 22.20/5.95 | % 22.20/5.95 |-The branch is then unsatisfiable % 22.20/5.95 |-Branch two: % 22.20/5.95 | (419) ~ (all_0_31_31 = e3) % 22.20/5.95 | (967) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0 % 22.20/5.95 | % 22.20/5.95 +-Applying beta-rule and splitting (94), into two cases. % 22.20/5.95 |-Branch one: % 22.20/5.95 | (758) all_0_25_25 = e0 % 22.20/5.95 | % 22.20/5.95 | Equations (758) can reduce 726 to: % 22.20/5.95 | (188) $false % 22.20/5.95 | % 22.20/5.95 |-The branch is then unsatisfiable % 22.20/5.95 |-Branch two: % 22.20/5.95 | (726) ~ (all_0_25_25 = e0) % 22.20/5.95 | (762) all_0_29_29 = e0 | all_0_33_33 = e0 | all_0_37_37 = e0 % 22.20/5.95 | % 22.20/5.95 +-Applying beta-rule and splitting (967), into two cases. % 22.20/5.95 |-Branch one: % 22.20/5.95 | (309) all_0_31_31 = e2 % 22.20/5.95 | % 22.20/5.95 | Equations (309) can reduce 30 to: % 22.20/5.95 | (852) ~ (all_0_28_28 = e2) % 22.20/5.95 | % 22.20/5.95 | Equations (309) can reduce 53 to: % 22.20/5.95 | (301) ~ (all_0_29_29 = e2) % 22.20/5.95 | % 22.20/5.95 | Equations (309) can reduce 168 to: % 22.20/5.95 | (552) ~ (all_0_30_30 = e2) % 22.20/5.95 | % 22.20/5.95 | Equations (309) can reduce 419 to: % 22.20/5.95 | (340) ~ (e3 = e2) % 22.20/5.95 | % 22.20/5.95 | Simplifying 340 yields: % 22.20/5.95 | (62) ~ (e3 = e2) % 22.20/5.95 | % 22.20/5.95 | Equations (309) can reduce 487 to: % 22.20/5.95 | (128) ~ (e2 = e1) % 22.20/5.95 | % 22.20/5.95 | From (309) and (40) follows: % 22.20/5.95 | (2267) op(e0, e2) = all_0_15_15 % 22.20/5.95 | % 22.20/5.95 +-Applying beta-rule and splitting (164), into two cases. % 22.20/5.95 |-Branch one: % 22.20/5.95 | (246) ~ (all_0_29_29 = e3) % 22.20/5.95 | % 22.20/5.95 +-Applying beta-rule and splitting (762), into two cases. % 22.20/5.95 |-Branch one: % 22.20/5.95 | (306) all_0_29_29 = e0 % 22.20/5.95 | % 22.20/5.95 | Equations (306) can reduce 47 to: % 22.20/5.95 | (726) ~ (all_0_25_25 = e0) % 22.20/5.95 | % 22.20/5.95 | Equations (306) can reduce 118 to: % 22.20/5.95 | (311) ~ (all_0_28_28 = e0) % 22.20/5.95 | % 22.20/5.95 | Equations (306) can reduce 133 to: % 22.20/5.95 | (312) ~ (all_0_30_30 = e0) % 22.20/5.95 | % 22.20/5.95 | Simplifying 312 yields: % 22.20/5.95 | (313) ~ (all_0_30_30 = e0) % 22.20/5.95 | % 22.20/5.95 | Equations (306) can reduce 108 to: % 22.20/5.95 | (2274) ~ (all_0_33_33 = e0) % 22.20/5.95 | % 22.20/5.95 | Simplifying 2274 yields: % 22.20/5.95 | (885) ~ (all_0_33_33 = e0) % 22.20/5.95 | % 22.20/5.95 | Equations (306) can reduce 35 to: % 22.20/5.95 | (314) ~ (all_0_37_37 = e0) % 22.20/5.95 | % 22.20/5.95 | Simplifying 314 yields: % 22.20/5.95 | (203) ~ (all_0_37_37 = e0) % 22.20/5.95 | % 22.20/5.95 | Equations (306) can reduce 246 to: % 22.20/5.95 | (205) ~ (e3 = e0) % 22.20/5.95 | % 22.20/5.95 | Simplifying 205 yields: % 22.20/5.95 | (79) ~ (e3 = e0) % 22.20/5.95 | % 22.20/5.95 | Equations (306) can reduce 301 to: % 22.20/5.95 | (207) ~ (e2 = e0) % 22.20/5.95 | % 22.20/5.95 | Simplifying 207 yields: % 22.20/5.95 | (87) ~ (e2 = e0) % 22.20/5.95 | % 22.20/5.95 | Equations (306) can reduce 183 to: % 22.20/5.95 | (209) ~ (e1 = e0) % 22.20/5.95 | % 22.20/5.95 | Simplifying 209 yields: % 22.20/5.95 | (153) ~ (e1 = e0) % 22.20/5.95 | % 22.20/5.95 | Instantiating formula (58) with e0, e2, all_0_15_15, all_0_37_37 and discharging atoms op(e0, e2) = all_0_15_15, op(e0, e2) = all_0_37_37, yields: % 22.20/5.95 | (2284) all_0_15_15 = all_0_37_37 % 22.20/5.95 | % 22.20/5.95 | Instantiating formula (58) with e0, e1, all_0_19_19, all_0_38_38 and discharging atoms op(e0, e1) = all_0_19_19, op(e0, e1) = all_0_38_38, yields: % 22.20/5.95 | (2285) all_0_19_19 = all_0_38_38 % 22.20/5.95 | % 22.20/5.95 +-Applying beta-rule and splitting (70), into two cases. % 22.20/5.95 |-Branch one: % 22.20/5.95 | (543) all_0_26_26 = e3 % 22.20/5.95 | % 22.20/5.95 | Equations (543) can reduce 225 to: % 22.20/5.95 | (188) $false % 22.20/5.95 | % 22.20/5.95 |-The branch is then unsatisfiable % 22.20/5.95 |-Branch two: % 22.20/5.95 | (225) ~ (all_0_26_26 = e3) % 22.20/5.95 | (546) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0 % 22.20/5.95 | % 22.20/5.95 +-Applying beta-rule and splitting (162), into two cases. % 22.20/5.95 |-Branch one: % 22.20/5.95 | (332) all_0_24_24 = e2 % 22.20/5.95 | % 22.20/5.95 | Combining equations (1082,332) yields a new equation: % 22.20/5.95 | (536) e2 = e0 % 22.20/5.95 | % 22.20/5.95 | Equations (536) can reduce 87 to: % 22.20/5.95 | (188) $false % 22.20/5.95 | % 22.20/5.95 |-The branch is then unsatisfiable % 22.20/5.95 |-Branch two: % 22.20/5.95 | (219) ~ (all_0_24_24 = e2) % 22.20/5.95 | (718) all_0_28_28 = e2 | all_0_32_32 = e2 | all_0_36_36 = e2 % 22.20/5.95 | % 22.20/5.95 | Equations (1082) can reduce 219 to: % 22.20/5.95 | (207) ~ (e2 = e0) % 22.20/5.95 | % 22.20/5.95 | Simplifying 207 yields: % 22.20/5.95 | (87) ~ (e2 = e0) % 22.20/5.95 | % 22.20/5.95 +-Applying beta-rule and splitting (158), into two cases. % 22.20/5.95 |-Branch one: % 22.20/5.95 | (332) all_0_24_24 = e2 % 22.20/5.95 | % 22.20/5.95 | Combining equations (1082,332) yields a new equation: % 22.20/5.95 | (536) e2 = e0 % 22.20/5.95 | % 22.20/5.95 | Equations (536) can reduce 87 to: % 22.20/5.95 | (188) $false % 22.20/5.95 | % 22.20/5.95 |-The branch is then unsatisfiable % 22.20/5.95 |-Branch two: % 22.20/5.95 | (219) ~ (all_0_24_24 = e2) % 22.20/5.95 | (336) all_0_25_25 = e2 | all_0_26_26 = e2 | all_0_27_27 = e2 % 22.20/5.95 | % 22.20/5.95 +-Applying beta-rule and splitting (22), into two cases. % 22.20/5.95 |-Branch one: % 22.20/5.95 | (342) all_0_25_25 = e1 % 22.20/5.95 | % 22.20/5.95 | Equations (342) can reduce 71 to: % 22.20/5.95 | (2303) ~ (all_0_26_26 = e1) % 22.20/5.95 | % 22.20/5.95 | Simplifying 2303 yields: % 22.20/5.95 | (257) ~ (all_0_26_26 = e1) % 22.20/5.95 | % 22.20/5.95 | Equations (342) can reduce 114 to: % 22.20/5.95 | (2305) ~ (all_0_33_33 = e1) % 22.20/5.95 | % 22.20/5.95 | Simplifying 2305 yields: % 22.20/5.95 | (259) ~ (all_0_33_33 = e1) % 22.20/5.95 | % 22.20/5.95 | Equations (342) can reduce 31 to: % 22.20/5.95 | (1149) ~ (all_0_37_37 = e1) % 22.20/5.95 | % 22.20/5.95 | Simplifying 1149 yields: % 22.20/5.95 | (504) ~ (all_0_37_37 = e1) % 22.20/5.95 | % 22.20/5.95 | Equations (342) can reduce 223 to: % 22.20/5.95 | (691) ~ (e3 = e1) % 22.20/5.95 | % 22.20/5.95 | Simplifying 691 yields: % 22.20/5.95 | (74) ~ (e3 = e1) % 22.20/5.95 | % 22.20/5.95 | Equations (342) can reduce 726 to: % 22.20/5.95 | (153) ~ (e1 = e0) % 22.20/5.95 | % 22.20/5.95 | From (342) and (112) follows: % 22.20/5.95 | (2312) op(e2, e1) = all_0_9_9 % 22.20/5.95 | % 22.20/5.95 +-Applying beta-rule and splitting (546), into two cases. % 22.20/5.95 |-Branch one: % 22.20/5.95 | (534) all_0_26_26 = e2 % 22.20/5.95 | % 22.20/5.95 | Equations (534) can reduce 151 to: % 22.20/5.95 | (551) ~ (all_0_30_30 = e2) % 22.20/5.95 | % 22.20/5.95 | Simplifying 551 yields: % 22.20/5.95 | (552) ~ (all_0_30_30 = e2) % 22.20/5.95 | % 22.20/5.95 | Equations (534) can reduce 257 to: % 22.20/5.95 | (128) ~ (e2 = e1) % 22.20/5.95 | % 22.20/5.95 | From (534) and (84) follows: % 22.20/5.95 | (2317) op(e1, e2) = all_0_10_10 % 22.20/5.95 | % 22.20/5.95 | Instantiating formula (58) with e2, e1, all_0_9_9, all_0_30_30 and discharging atoms op(e2, e1) = all_0_9_9, op(e2, e1) = all_0_30_30, yields: % 22.20/5.95 | (2318) all_0_9_9 = all_0_30_30 % 22.20/5.95 | % 22.20/5.95 | Instantiating formula (58) with e1, e2, all_0_10_10, all_0_33_33 and discharging atoms op(e1, e2) = all_0_10_10, op(e1, e2) = all_0_33_33, yields: % 22.20/5.95 | (2319) all_0_10_10 = all_0_33_33 % 22.20/5.95 | % 22.20/5.95 +-Applying beta-rule and splitting (111), into two cases. % 22.20/5.95 |-Branch one: % 22.20/5.95 | (377) all_0_37_37 = e3 % 22.20/5.95 | % 22.20/5.95 | Combining equations (377,2284) yields a new equation: % 22.20/5.95 | (2321) all_0_15_15 = e3 % 22.20/5.95 | % 22.20/5.95 | Equations (377) can reduce 182 to: % 22.20/5.95 | (359) ~ (all_0_33_33 = e3) % 22.20/5.95 | % 22.20/5.95 | Equations (377) can reduce 63 to: % 22.20/5.95 | (673) ~ (all_0_38_38 = e3) % 22.20/5.95 | % 22.20/5.95 | Simplifying 673 yields: % 22.20/5.95 | (499) ~ (all_0_38_38 = e3) % 22.20/5.95 | % 22.20/5.95 +-Applying beta-rule and splitting (61), into two cases. % 22.20/5.95 |-Branch one: % 22.20/5.95 | (489) all_0_38_38 = e3 % 22.20/5.95 | % 22.20/5.95 | Equations (489) can reduce 499 to: % 22.20/5.95 | (188) $false % 22.20/5.95 | % 22.20/5.95 |-The branch is then unsatisfiable % 22.20/5.95 |-Branch two: % 22.20/5.95 | (499) ~ (all_0_38_38 = e3) % 22.20/5.95 | (575) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0 % 22.20/5.95 | % 22.20/5.95 +-Applying beta-rule and splitting (98), into two cases. % 22.20/5.95 |-Branch one: % 22.20/5.95 | (732) all_0_36_36 = e2 % 22.20/5.95 | % 22.20/5.95 | Equations (732) can reduce 11 to: % 22.20/5.95 | (428) ~ (all_0_32_32 = e2) % 22.20/5.95 | % 22.20/5.95 | Equations (732) can reduce 23 to: % 22.20/5.95 | (553) ~ (all_0_38_38 = e2) % 22.20/5.95 | % 22.20/5.95 | Simplifying 553 yields: % 22.20/5.95 | (554) ~ (all_0_38_38 = e2) % 22.20/5.95 | % 22.20/5.95 | Equations (732) can reduce 202 to: % 22.20/5.95 | (87) ~ (e2 = e0) % 22.20/5.95 | % 22.20/5.95 +-Applying beta-rule and splitting (156), into two cases. % 22.20/5.95 |-Branch one: % 22.20/5.95 | (445) all_0_36_36 = e1 % 22.20/5.95 | % 22.20/5.95 | Combining equations (732,445) yields a new equation: % 22.20/5.95 | (484) e2 = e1 % 22.20/5.95 | % 22.20/5.95 | Simplifying 484 yields: % 22.20/5.95 | (343) e2 = e1 % 22.20/5.95 | % 22.20/5.95 | Equations (343) can reduce 128 to: % 22.20/5.95 | (188) $false % 22.20/5.95 | % 22.20/5.95 |-The branch is then unsatisfiable % 22.20/5.95 |-Branch two: % 22.20/5.95 | (352) ~ (all_0_36_36 = e1) % 22.20/5.95 | (448) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1 % 22.20/5.95 | % 22.20/5.95 | Equations (732) can reduce 352 to: % 22.20/5.95 | (128) ~ (e2 = e1) % 22.20/5.95 | % 22.20/5.95 +-Applying beta-rule and splitting (124), into two cases. % 22.20/5.95 |-Branch one: % 22.20/5.95 | (408) all_0_32_32 = e3 % 22.20/5.95 | % 22.20/5.95 | Equations (408) can reduce 95 to: % 22.20/5.95 | (229) ~ (all_0_28_28 = e3) % 22.20/5.95 | % 22.20/5.95 | Equations (408) can reduce 2 to: % 22.20/5.95 | (2343) ~ (all_0_33_33 = e3) % 22.20/5.95 | % 22.20/5.95 | Simplifying 2343 yields: % 22.20/5.95 | (359) ~ (all_0_33_33 = e3) % 22.20/5.95 | % 22.20/5.95 | Equations (408) can reduce 428 to: % 22.20/5.95 | (62) ~ (e3 = e2) % 22.20/5.95 | % 22.20/5.95 | Equations (408) can reduce 350 to: % 22.20/5.95 | (74) ~ (e3 = e1) % 22.20/5.95 | % 22.20/5.95 | Equations (408) can reduce 403 to: % 22.20/5.95 | (79) ~ (e3 = e0) % 22.20/5.95 | % 22.20/5.95 | From (408) and (82) follows: % 22.20/5.95 | (2348) op(e1, e3) = e3 % 22.20/5.95 | % 22.20/5.95 +-Applying beta-rule and splitting (14), into two cases. % 22.20/5.95 |-Branch one: % 22.20/5.95 | (405) all_0_32_32 = e2 % 22.20/5.95 | % 22.20/5.95 | Combining equations (405,408) yields a new equation: % 22.20/5.95 | (333) e3 = e2 % 22.20/5.95 | % 22.20/5.95 | Equations (333) can reduce 62 to: % 22.20/5.95 | (188) $false % 22.20/5.95 | % 22.20/5.95 |-The branch is then unsatisfiable % 22.20/5.95 |-Branch two: % 22.20/5.95 | (428) ~ (all_0_32_32 = e2) % 22.20/5.95 | (429) all_0_33_33 = e2 | all_0_34_34 = e2 | all_0_35_35 = e2 % 22.20/5.95 | % 22.20/5.95 +-Applying beta-rule and splitting (33), into two cases. % 22.20/5.95 |-Branch one: % 22.20/5.95 | (374) all_0_33_33 = e3 % 22.20/5.95 | % 22.20/5.95 | Equations (374) can reduce 359 to: % 22.20/5.95 | (188) $false % 22.20/5.95 | % 22.20/5.95 |-The branch is then unsatisfiable % 22.20/5.95 |-Branch two: % 22.20/5.95 | (359) ~ (all_0_33_33 = e3) % 22.20/5.95 | (2357) all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0 % 22.20/5.95 | % 22.20/5.95 +-Applying beta-rule and splitting (429), into two cases. % 22.20/5.95 |-Branch one: % 22.20/5.95 | (810) all_0_33_33 = e2 % 22.20/5.95 | % 22.20/5.95 | Combining equations (810,2319) yields a new equation: % 22.20/5.95 | (2359) all_0_10_10 = e2 % 22.20/5.95 | % 22.20/5.95 | Equations (810) can reduce 359 to: % 22.20/5.95 | (340) ~ (e3 = e2) % 22.20/5.95 | % 22.20/5.95 | Simplifying 340 yields: % 22.20/5.95 | (62) ~ (e3 = e2) % 22.20/5.95 | % 22.20/5.95 | Equations (810) can reduce 259 to: % 22.20/5.95 | (128) ~ (e2 = e1) % 22.20/5.95 | % 22.20/5.95 +-Applying beta-rule and splitting (121), into two cases. % 22.20/5.95 |-Branch one: % 22.20/5.95 | (654) all_0_28_28 = e3 % 22.20/5.95 | % 22.20/5.95 | Equations (654) can reduce 229 to: % 22.20/5.95 | (188) $false % 22.20/5.95 | % 22.20/5.95 |-The branch is then unsatisfiable % 22.20/5.95 |-Branch two: % 22.20/5.95 | (229) ~ (all_0_28_28 = e3) % 22.20/5.95 | (2366) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0 % 22.20/5.95 | % 22.20/5.95 +-Applying beta-rule and splitting (113), into two cases. % 22.20/5.95 |-Branch one: % 22.20/5.95 | (694) all_0_24_24 = e1 % 22.20/5.95 | % 22.20/5.95 | Combining equations (694,1082) yields a new equation: % 22.20/5.95 | (510) e1 = e0 % 22.20/5.95 | % 22.20/5.95 | Simplifying 510 yields: % 22.20/5.95 | (379) e1 = e0 % 22.20/5.95 | % 22.20/5.95 | Equations (379) can reduce 153 to: % 22.20/5.95 | (188) $false % 22.20/5.95 | % 22.20/5.95 |-The branch is then unsatisfiable % 22.20/5.95 |-Branch two: % 22.20/5.95 | (218) ~ (all_0_24_24 = e1) % 22.20/5.96 | (699) all_0_28_28 = e1 | all_0_32_32 = e1 | all_0_36_36 = e1 % 22.20/5.96 | % 22.20/5.96 +-Applying beta-rule and splitting (174), into two cases. % 22.20/5.96 |-Branch one: % 22.20/5.96 | (543) all_0_26_26 = e3 % 22.20/5.96 | % 22.20/5.96 | Combining equations (534,543) yields a new equation: % 22.20/5.96 | (333) e3 = e2 % 22.20/5.96 | % 22.20/5.96 | Equations (333) can reduce 62 to: % 22.20/5.96 | (188) $false % 22.20/5.96 | % 22.20/5.96 |-The branch is then unsatisfiable % 22.20/5.96 |-Branch two: % 22.20/5.96 | (225) ~ (all_0_26_26 = e3) % 22.20/5.96 | (683) all_0_30_30 = e3 | all_0_34_34 = e3 | all_0_38_38 = e3 % 22.20/5.96 | % 22.20/5.96 +-Applying beta-rule and splitting (104), into two cases. % 22.20/5.96 |-Branch one: % 22.20/5.96 | (654) all_0_28_28 = e3 % 22.20/5.96 | % 22.20/5.96 | Equations (654) can reduce 229 to: % 22.20/5.96 | (188) $false % 22.20/5.96 | % 22.20/5.96 |-The branch is then unsatisfiable % 22.20/5.96 |-Branch two: % 22.20/5.96 | (229) ~ (all_0_28_28 = e3) % 22.20/5.96 | (657) all_0_29_29 = e3 | all_0_30_30 = e3 | all_0_31_31 = e3 % 22.20/5.96 | % 22.20/5.96 +-Applying beta-rule and splitting (699), into two cases. % 22.20/5.96 |-Branch one: % 22.20/5.96 | (348) all_0_28_28 = e1 % 22.20/5.96 | % 22.20/5.96 | Equations (348) can reduce 229 to: % 22.20/5.96 | (691) ~ (e3 = e1) % 22.20/5.96 | % 22.20/5.96 | Simplifying 691 yields: % 22.20/5.96 | (74) ~ (e3 = e1) % 22.20/5.96 | % 22.20/5.96 | Equations (348) can reduce 311 to: % 22.20/5.96 | (153) ~ (e1 = e0) % 22.20/5.96 | % 22.20/5.96 +-Applying beta-rule and splitting (34), into two cases. % 22.20/5.96 |-Branch one: % 22.20/5.96 | (561) all_0_30_30 = e3 % 22.20/5.96 | % 22.20/5.96 | From (561) and (21) follows: % 22.20/5.96 | (2387) op(e1, e3) = all_0_14_14 % 22.20/5.96 | % 22.20/5.96 +-Applying beta-rule and splitting (575), into two cases. % 22.20/5.96 |-Branch one: % 22.20/5.96 | (576) all_0_38_38 = e2 % 22.20/5.96 | % 22.20/5.96 | Equations (576) can reduce 554 to: % 22.20/5.96 | (188) $false % 22.20/5.96 | % 22.20/5.96 |-The branch is then unsatisfiable % 22.20/5.96 |-Branch two: % 22.20/5.96 | (554) ~ (all_0_38_38 = e2) % 22.20/5.96 | (579) all_0_38_38 = e1 | all_0_38_38 = e0 % 22.20/5.96 | % 22.20/5.96 +-Applying beta-rule and splitting (579), into two cases. % 22.20/5.96 |-Branch one: % 22.20/5.96 | (506) all_0_38_38 = e1 % 22.20/5.96 | % 22.20/5.96 | Combining equations (506,2285) yields a new equation: % 22.20/5.96 | (2393) all_0_19_19 = e1 % 22.20/5.96 | % 22.20/5.96 +-Applying beta-rule and splitting (48), into two cases. % 22.20/5.96 |-Branch one: % 22.20/5.96 | (273) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) | ( ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35)) % 22.20/5.96 | % 22.20/5.96 +-Applying beta-rule and splitting (273), into two cases. % 22.20/5.96 |-Branch one: % 22.20/5.96 | (274) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) % 22.20/5.96 | % 22.20/5.96 +-Applying beta-rule and splitting (274), into two cases. % 22.20/5.96 |-Branch one: % 22.20/5.96 | (275) ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27) % 22.20/5.96 | % 22.20/5.96 | Applying alpha-rule on (275) yields: % 22.20/5.96 | (276) ~ (all_0_8_8 = all_0_24_24) % 22.20/5.96 | (277) ~ (all_0_9_9 = all_0_25_25) % 22.20/5.96 | (278) ~ (all_0_10_10 = all_0_26_26) % 22.20/5.96 | (279) ~ (all_0_11_11 = all_0_27_27) % 22.20/5.96 | % 22.20/5.96 | Equations (2359,534) can reduce 278 to: % 22.20/5.96 | (188) $false % 22.20/5.96 | % 22.20/5.96 |-The branch is then unsatisfiable % 22.20/5.96 |-Branch two: % 22.20/5.96 | (281) ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31) % 22.20/5.96 | % 22.20/5.96 | Applying alpha-rule on (281) yields: % 22.20/5.96 | (282) ~ (all_0_12_12 = all_0_28_28) % 22.20/5.96 | (283) ~ (all_0_13_13 = all_0_29_29) % 22.20/5.96 | (284) ~ (all_0_14_14 = all_0_30_30) % 22.20/5.96 | (285) ~ (all_0_15_15 = all_0_31_31) % 22.20/5.96 | % 22.20/5.96 | Equations (561) can reduce 284 to: % 22.20/5.96 | (2407) ~ (all_0_14_14 = e3) % 22.20/5.96 | % 22.20/5.96 | Instantiating formula (58) with e1, e3, e3, all_0_14_14 and discharging atoms op(e1, e3) = all_0_14_14, op(e1, e3) = e3, yields: % 22.20/5.96 | (2408) all_0_14_14 = e3 % 22.20/5.96 | % 22.20/5.96 | Equations (2408) can reduce 2407 to: % 22.20/5.96 | (188) $false % 22.20/5.96 | % 22.20/5.96 |-The branch is then unsatisfiable % 22.20/5.96 |-Branch two: % 22.20/5.96 | (607) ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35) % 22.20/5.96 | % 22.20/5.96 | Applying alpha-rule on (607) yields: % 22.20/5.96 | (608) ~ (all_0_16_16 = all_0_32_32) % 22.20/5.96 | (609) ~ (all_0_17_17 = all_0_33_33) % 22.20/5.96 | (610) ~ (all_0_18_18 = all_0_34_34) % 22.20/5.96 | (611) ~ (all_0_19_19 = all_0_35_35) % 22.20/5.96 | % 22.20/5.96 | Equations (2393,398) can reduce 611 to: % 22.20/5.96 | (188) $false % 22.20/5.96 | % 22.20/5.96 |-The branch is then unsatisfiable % 22.20/5.96 |-Branch two: % 22.20/5.96 | (613) ~ (all_0_20_20 = all_0_36_36) & ~ (all_0_21_21 = all_0_37_37) & ~ (all_0_22_22 = all_0_38_38) & ~ (all_0_23_23 = all_0_39_39) % 22.20/5.96 | % 22.20/5.96 | Applying alpha-rule on (613) yields: % 22.20/5.96 | (614) ~ (all_0_20_20 = all_0_36_36) % 22.20/5.96 | (615) ~ (all_0_21_21 = all_0_37_37) % 22.20/5.96 | (616) ~ (all_0_22_22 = all_0_38_38) % 22.20/5.96 | (617) ~ (all_0_23_23 = all_0_39_39) % 22.20/5.96 | % 22.20/5.96 | Equations (217,198) can reduce 617 to: % 22.20/5.96 | (188) $false % 22.20/5.96 | % 22.20/5.96 |-The branch is then unsatisfiable % 22.20/5.96 |-Branch two: % 22.20/5.96 | (263) ~ (all_0_38_38 = e1) % 22.20/5.96 | (583) all_0_38_38 = e0 % 22.20/5.96 | % 22.20/5.96 | Equations (583) can reduce 204 to: % 22.20/5.96 | (188) $false % 22.20/5.96 | % 22.20/5.96 |-The branch is then unsatisfiable % 22.20/5.96 |-Branch two: % 22.20/5.96 | (556) ~ (all_0_30_30 = e3) % 22.20/5.96 | (564) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0 % 22.20/5.96 | % 22.20/5.96 +-Applying beta-rule and splitting (683), into two cases. % 22.20/5.96 |-Branch one: % 22.20/5.96 | (561) all_0_30_30 = e3 % 22.20/5.96 | % 22.20/5.96 | Equations (561) can reduce 556 to: % 22.20/5.96 | (188) $false % 22.20/5.96 | % 22.20/5.96 |-The branch is then unsatisfiable % 22.20/5.96 |-Branch two: % 22.20/5.96 | (556) ~ (all_0_30_30 = e3) % 22.20/5.96 | (941) all_0_34_34 = e3 | all_0_38_38 = e3 % 22.20/5.96 | % 22.20/5.96 +-Applying beta-rule and splitting (448), into two cases. % 22.20/5.96 |-Branch one: % 22.20/5.96 | (386) all_0_37_37 = e1 % 22.20/5.96 | % 22.20/5.96 | Combining equations (377,386) yields a new equation: % 22.20/5.96 | (492) e3 = e1 % 22.20/5.96 | % 22.20/5.96 | Simplifying 492 yields: % 22.20/5.96 | (387) e3 = e1 % 22.20/5.96 | % 22.20/5.96 | Equations (387) can reduce 74 to: % 22.20/5.96 | (188) $false % 22.20/5.96 | % 22.20/5.96 |-The branch is then unsatisfiable % 22.20/5.96 |-Branch two: % 22.20/5.96 | (504) ~ (all_0_37_37 = e1) % 22.20/5.96 | (505) all_0_38_38 = e1 | all_0_39_39 = e1 % 22.20/5.96 | % 22.20/5.96 +-Applying beta-rule and splitting (505), into two cases. % 22.20/5.96 |-Branch one: % 22.20/5.96 | (506) all_0_38_38 = e1 % 22.20/5.96 | % 22.20/5.96 | Combining equations (506,2285) yields a new equation: % 22.20/5.96 | (2393) all_0_19_19 = e1 % 22.20/5.96 | % 22.20/5.96 +-Applying beta-rule and splitting (48), into two cases. % 22.20/5.96 |-Branch one: % 22.20/5.96 | (273) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) | ( ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35)) % 22.20/5.96 | % 22.20/5.96 +-Applying beta-rule and splitting (273), into two cases. % 22.20/5.96 |-Branch one: % 22.20/5.96 | (274) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) % 22.20/5.96 | % 22.20/5.96 +-Applying beta-rule and splitting (274), into two cases. % 22.20/5.96 |-Branch one: % 22.20/5.96 | (275) ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27) % 22.20/5.96 | % 22.20/5.96 | Applying alpha-rule on (275) yields: % 22.20/5.96 | (276) ~ (all_0_8_8 = all_0_24_24) % 22.20/5.96 | (277) ~ (all_0_9_9 = all_0_25_25) % 22.20/5.96 | (278) ~ (all_0_10_10 = all_0_26_26) % 22.20/5.96 | (279) ~ (all_0_11_11 = all_0_27_27) % 22.20/5.96 | % 22.20/5.96 | Equations (2359,534) can reduce 278 to: % 22.20/5.96 | (188) $false % 22.20/5.96 | % 22.20/5.96 |-The branch is then unsatisfiable % 22.20/5.96 |-Branch two: % 22.20/5.96 | (281) ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31) % 22.20/5.96 | % 22.20/5.96 | Applying alpha-rule on (281) yields: % 22.20/5.96 | (282) ~ (all_0_12_12 = all_0_28_28) % 22.20/5.96 | (283) ~ (all_0_13_13 = all_0_29_29) % 22.20/5.96 | (284) ~ (all_0_14_14 = all_0_30_30) % 22.20/5.96 | (285) ~ (all_0_15_15 = all_0_31_31) % 22.20/5.96 | % 22.20/5.96 | Equations (2321,309) can reduce 285 to: % 22.20/5.96 | (62) ~ (e3 = e2) % 22.20/5.96 | % 22.20/5.96 +-Applying beta-rule and splitting (657), into two cases. % 22.20/5.96 |-Branch one: % 22.20/5.96 | (287) all_0_29_29 = e3 % 22.20/5.96 | % 22.20/5.96 | Combining equations (306,287) yields a new equation: % 22.20/5.96 | (370) e3 = e0 % 22.20/5.96 | % 22.20/5.96 | Equations (370) can reduce 79 to: % 22.20/5.96 | (188) $false % 22.20/5.96 | % 22.20/5.96 |-The branch is then unsatisfiable % 22.20/5.96 |-Branch two: % 22.20/5.96 | (246) ~ (all_0_29_29 = e3) % 22.20/5.96 | (661) all_0_30_30 = e3 | all_0_31_31 = e3 % 22.20/5.96 | % 22.20/5.96 +-Applying beta-rule and splitting (661), into two cases. % 22.20/5.96 |-Branch one: % 22.20/5.96 | (561) all_0_30_30 = e3 % 22.20/5.96 | % 22.20/5.96 | Equations (561) can reduce 556 to: % 22.20/5.96 | (188) $false % 22.20/5.96 | % 22.20/5.96 |-The branch is then unsatisfiable % 22.20/5.96 |-Branch two: % 22.20/5.96 | (556) ~ (all_0_30_30 = e3) % 22.20/5.96 | (416) all_0_31_31 = e3 % 22.20/5.96 | % 22.20/5.96 | Combining equations (309,416) yields a new equation: % 22.20/5.96 | (333) e3 = e2 % 22.20/5.96 | % 22.20/5.96 | Equations (333) can reduce 62 to: % 22.20/5.96 | (188) $false % 22.20/5.96 | % 22.20/5.96 |-The branch is then unsatisfiable % 22.20/5.96 |-Branch two: % 22.20/5.96 | (607) ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35) % 22.20/5.96 | % 22.20/5.96 | Applying alpha-rule on (607) yields: % 22.20/5.96 | (608) ~ (all_0_16_16 = all_0_32_32) % 22.20/5.96 | (609) ~ (all_0_17_17 = all_0_33_33) % 22.20/5.96 | (610) ~ (all_0_18_18 = all_0_34_34) % 22.20/5.96 | (611) ~ (all_0_19_19 = all_0_35_35) % 22.20/5.96 | % 22.20/5.96 | Equations (2393,398) can reduce 611 to: % 22.20/5.96 | (188) $false % 22.20/5.96 | % 22.20/5.96 |-The branch is then unsatisfiable % 22.20/5.96 |-Branch two: % 22.20/5.96 | (613) ~ (all_0_20_20 = all_0_36_36) & ~ (all_0_21_21 = all_0_37_37) & ~ (all_0_22_22 = all_0_38_38) & ~ (all_0_23_23 = all_0_39_39) % 22.20/5.96 | % 22.20/5.96 | Applying alpha-rule on (613) yields: % 22.20/5.96 | (614) ~ (all_0_20_20 = all_0_36_36) % 22.20/5.96 | (615) ~ (all_0_21_21 = all_0_37_37) % 22.20/5.96 | (616) ~ (all_0_22_22 = all_0_38_38) % 22.20/5.96 | (617) ~ (all_0_23_23 = all_0_39_39) % 22.20/5.96 | % 22.20/5.96 | Equations (217,198) can reduce 617 to: % 22.20/5.96 | (188) $false % 22.20/5.96 | % 22.20/5.96 |-The branch is then unsatisfiable % 22.20/5.96 |-Branch two: % 22.20/5.96 | (263) ~ (all_0_38_38 = e1) % 22.20/5.96 | (195) all_0_39_39 = e1 % 22.20/5.96 | % 22.20/5.96 | Combining equations (195,198) yields a new equation: % 22.20/5.96 | (510) e1 = e0 % 22.20/5.96 | % 22.20/5.96 | Simplifying 510 yields: % 22.20/5.96 | (379) e1 = e0 % 22.20/5.96 | % 22.20/5.96 | Equations (379) can reduce 153 to: % 22.20/5.96 | (188) $false % 22.20/5.96 | % 22.20/5.96 |-The branch is then unsatisfiable % 22.20/5.96 |-Branch two: % 22.20/5.96 | (518) ~ (all_0_28_28 = e1) % 22.20/5.96 | (1003) all_0_32_32 = e1 | all_0_36_36 = e1 % 22.20/5.96 | % 22.20/5.96 +-Applying beta-rule and splitting (448), into two cases. % 22.20/5.96 |-Branch one: % 22.20/5.96 | (386) all_0_37_37 = e1 % 22.20/5.96 | % 22.20/5.96 | Combining equations (386,377) yields a new equation: % 22.20/5.96 | (387) e3 = e1 % 22.20/5.96 | % 22.20/5.96 | Equations (387) can reduce 74 to: % 22.20/5.96 | (188) $false % 22.20/5.96 | % 22.20/5.96 |-The branch is then unsatisfiable % 22.20/5.96 |-Branch two: % 22.20/5.96 | (504) ~ (all_0_37_37 = e1) % 22.20/5.96 | (505) all_0_38_38 = e1 | all_0_39_39 = e1 % 22.20/5.96 | % 22.20/5.96 | Equations (377) can reduce 504 to: % 22.20/5.96 | (74) ~ (e3 = e1) % 22.20/5.96 | % 22.20/5.96 +-Applying beta-rule and splitting (140), into two cases. % 22.20/5.96 |-Branch one: % 22.20/5.96 | (587) all_0_26_26 = e1 % 22.20/5.96 | % 22.20/5.96 | Combining equations (534,587) yields a new equation: % 22.20/5.96 | (484) e2 = e1 % 22.20/5.96 | % 22.20/5.96 | Simplifying 484 yields: % 22.20/5.96 | (343) e2 = e1 % 22.20/5.96 | % 22.20/5.96 | Equations (343) can reduce 128 to: % 22.20/5.96 | (188) $false % 22.20/5.96 | % 22.20/5.96 |-The branch is then unsatisfiable % 22.20/5.96 |-Branch two: % 22.20/5.96 | (257) ~ (all_0_26_26 = e1) % 22.20/5.96 | (2494) all_0_30_30 = e1 | all_0_34_34 = e1 | all_0_38_38 = e1 % 22.20/5.96 | % 22.20/5.96 | Equations (534) can reduce 257 to: % 22.20/5.96 | (128) ~ (e2 = e1) % 22.20/5.96 | % 22.20/5.96 +-Applying beta-rule and splitting (1003), into two cases. % 22.20/5.96 |-Branch one: % 22.20/5.96 | (438) all_0_32_32 = e1 % 22.20/5.96 | % 22.20/5.96 | Combining equations (408,438) yields a new equation: % 22.20/5.96 | (492) e3 = e1 % 22.20/5.96 | % 22.20/5.96 | Simplifying 492 yields: % 22.20/5.96 | (387) e3 = e1 % 22.20/5.96 | % 22.20/5.96 | Equations (387) can reduce 74 to: % 22.20/5.96 | (188) $false % 22.20/5.96 | % 22.20/5.96 |-The branch is then unsatisfiable % 22.20/5.96 |-Branch two: % 22.20/5.96 | (350) ~ (all_0_32_32 = e1) % 22.20/5.96 | (445) all_0_36_36 = e1 % 22.20/5.96 | % 22.20/5.96 | Combining equations (445,732) yields a new equation: % 22.20/5.96 | (343) e2 = e1 % 22.20/5.96 | % 22.20/5.97 | Equations (343) can reduce 128 to: % 22.20/5.97 | (188) $false % 22.20/5.97 | % 22.20/5.97 |-The branch is then unsatisfiable % 22.20/5.97 |-Branch two: % 22.20/5.97 | (813) ~ (all_0_33_33 = e2) % 22.20/5.97 | (1658) all_0_34_34 = e2 | all_0_35_35 = e2 % 22.20/5.97 | % 22.20/5.97 +-Applying beta-rule and splitting (1658), into two cases. % 22.20/5.97 |-Branch one: % 22.20/5.97 | (252) all_0_34_34 = e2 % 22.20/5.97 | % 22.20/5.97 | Combining equations (620,252) yields a new equation: % 22.20/5.97 | (536) e2 = e0 % 22.20/5.97 | % 22.20/5.97 | Equations (536) can reduce 87 to: % 22.20/5.97 | (188) $false % 22.20/5.97 | % 22.20/5.97 |-The branch is then unsatisfiable % 22.20/5.97 |-Branch two: % 22.20/5.97 | (247) ~ (all_0_34_34 = e2) % 22.20/5.97 | (394) all_0_35_35 = e2 % 22.20/5.97 | % 22.20/5.97 | Combining equations (394,398) yields a new equation: % 22.20/5.97 | (484) e2 = e1 % 22.20/5.97 | % 22.20/5.97 | Simplifying 484 yields: % 22.20/5.97 | (343) e2 = e1 % 22.20/5.97 | % 22.20/5.97 | Equations (343) can reduce 128 to: % 22.20/5.97 | (188) $false % 22.20/5.97 | % 22.20/5.97 |-The branch is then unsatisfiable % 22.20/5.97 |-Branch two: % 22.20/5.97 | (231) ~ (all_0_32_32 = e3) % 22.20/5.97 | (433) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0 % 22.20/5.97 | % 22.20/5.97 +-Applying beta-rule and splitting (14), into two cases. % 22.20/5.97 |-Branch one: % 22.20/5.97 | (405) all_0_32_32 = e2 % 22.20/5.97 | % 22.20/5.97 | Equations (405) can reduce 428 to: % 22.20/5.97 | (188) $false % 22.20/5.97 | % 22.20/5.97 |-The branch is then unsatisfiable % 22.20/5.97 |-Branch two: % 22.20/5.97 | (428) ~ (all_0_32_32 = e2) % 22.20/5.97 | (429) all_0_33_33 = e2 | all_0_34_34 = e2 | all_0_35_35 = e2 % 22.20/5.97 | % 22.20/5.97 +-Applying beta-rule and splitting (429), into two cases. % 22.20/5.97 |-Branch one: % 22.20/5.97 | (810) all_0_33_33 = e2 % 22.20/5.97 | % 22.20/5.97 | Equations (810) can reduce 2 to: % 22.20/5.97 | (428) ~ (all_0_32_32 = e2) % 22.20/5.97 | % 22.20/5.97 +-Applying beta-rule and splitting (433), into two cases. % 22.20/5.97 |-Branch one: % 22.20/5.97 | (405) all_0_32_32 = e2 % 22.20/5.97 | % 22.20/5.97 | Equations (405) can reduce 428 to: % 22.20/5.97 | (188) $false % 22.20/5.97 | % 22.20/5.97 |-The branch is then unsatisfiable % 22.20/5.97 |-Branch two: % 22.20/5.97 | (428) ~ (all_0_32_32 = e2) % 22.20/5.97 | (437) all_0_32_32 = e1 | all_0_32_32 = e0 % 22.20/5.97 | % 22.20/5.97 +-Applying beta-rule and splitting (437), into two cases. % 22.20/5.97 |-Branch one: % 22.20/5.97 | (438) all_0_32_32 = e1 % 22.20/5.97 | % 22.20/5.97 | Equations (438) can reduce 350 to: % 22.20/5.97 | (188) $false % 22.20/5.97 | % 22.20/5.97 |-The branch is then unsatisfiable % 22.20/5.97 |-Branch two: % 22.20/5.97 | (350) ~ (all_0_32_32 = e1) % 22.20/5.97 | (391) all_0_32_32 = e0 % 22.20/5.97 | % 22.20/5.97 | Equations (391) can reduce 403 to: % 22.20/5.97 | (188) $false % 22.20/5.97 | % 22.20/5.97 |-The branch is then unsatisfiable % 22.20/5.97 |-Branch two: % 22.20/5.97 | (813) ~ (all_0_33_33 = e2) % 22.20/5.97 | (1658) all_0_34_34 = e2 | all_0_35_35 = e2 % 22.20/5.97 | % 22.20/5.97 +-Applying beta-rule and splitting (1658), into two cases. % 22.20/5.97 |-Branch one: % 22.20/5.97 | (252) all_0_34_34 = e2 % 22.20/5.97 | % 22.20/5.97 | Combining equations (620,252) yields a new equation: % 22.20/5.97 | (536) e2 = e0 % 22.20/5.97 | % 22.20/5.97 | Equations (536) can reduce 87 to: % 22.20/5.97 | (188) $false % 22.20/5.97 | % 22.20/5.97 |-The branch is then unsatisfiable % 22.20/5.97 |-Branch two: % 22.20/5.97 | (247) ~ (all_0_34_34 = e2) % 22.20/5.97 | (394) all_0_35_35 = e2 % 22.20/5.97 | % 22.20/5.97 | Combining equations (398,394) yields a new equation: % 22.20/5.97 | (343) e2 = e1 % 22.20/5.97 | % 22.20/5.97 | Equations (343) can reduce 128 to: % 22.20/5.97 | (188) $false % 22.20/5.97 | % 22.20/5.97 |-The branch is then unsatisfiable % 22.20/5.97 |-Branch two: % 22.20/5.97 | (828) ~ (all_0_36_36 = e2) % 22.20/5.97 | (829) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2 % 22.20/5.97 | % 22.20/5.97 +-Applying beta-rule and splitting (33), into two cases. % 22.20/5.97 |-Branch one: % 22.20/5.97 | (374) all_0_33_33 = e3 % 22.20/5.97 | % 22.20/5.97 | Equations (374) can reduce 359 to: % 22.20/5.97 | (188) $false % 22.20/5.97 | % 22.20/5.97 |-The branch is then unsatisfiable % 22.20/5.97 |-Branch two: % 22.20/5.97 | (359) ~ (all_0_33_33 = e3) % 22.20/5.97 | (2357) all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0 % 22.20/5.97 | % 22.20/5.97 +-Applying beta-rule and splitting (718), into two cases. % 22.20/5.97 |-Branch one: % 22.20/5.97 | (849) all_0_28_28 = e2 % 22.20/5.97 | % 22.20/5.97 | Equations (849) can reduce 852 to: % 22.20/5.97 | (188) $false % 22.20/5.97 | % 22.20/5.97 |-The branch is then unsatisfiable % 22.20/5.97 |-Branch two: % 22.20/5.97 | (852) ~ (all_0_28_28 = e2) % 22.20/5.97 | (853) all_0_32_32 = e2 | all_0_36_36 = e2 % 22.20/5.97 | % 22.20/5.97 +-Applying beta-rule and splitting (853), into two cases. % 22.20/5.97 |-Branch one: % 22.20/5.97 | (405) all_0_32_32 = e2 % 22.20/5.97 | % 22.20/5.97 | Equations (405) can reduce 2 to: % 22.20/5.97 | (2551) ~ (all_0_33_33 = e2) % 22.20/5.97 | % 22.20/5.97 | Simplifying 2551 yields: % 22.20/5.97 | (813) ~ (all_0_33_33 = e2) % 22.20/5.97 | % 22.20/5.97 +-Applying beta-rule and splitting (2357), into two cases. % 22.20/5.97 |-Branch one: % 22.20/5.97 | (810) all_0_33_33 = e2 % 22.20/5.97 | % 22.20/5.97 | Equations (810) can reduce 813 to: % 22.20/5.97 | (188) $false % 22.20/5.97 | % 22.20/5.97 |-The branch is then unsatisfiable % 22.20/5.97 |-Branch two: % 22.20/5.97 | (813) ~ (all_0_33_33 = e2) % 22.20/5.97 | (2556) all_0_33_33 = e1 | all_0_33_33 = e0 % 22.20/5.97 | % 22.20/5.97 +-Applying beta-rule and splitting (2556), into two cases. % 22.20/5.97 |-Branch one: % 22.20/5.97 | (383) all_0_33_33 = e1 % 22.20/5.97 | % 22.20/5.97 | Equations (383) can reduce 259 to: % 22.20/5.97 | (188) $false % 22.20/5.97 | % 22.20/5.97 |-The branch is then unsatisfiable % 22.20/5.97 |-Branch two: % 22.20/5.97 | (259) ~ (all_0_33_33 = e1) % 22.20/5.97 | (882) all_0_33_33 = e0 % 22.20/5.97 | % 22.20/5.97 | Equations (882) can reduce 885 to: % 22.20/5.97 | (188) $false % 22.20/5.97 | % 22.20/5.97 |-The branch is then unsatisfiable % 22.20/5.97 |-Branch two: % 22.20/5.97 | (428) ~ (all_0_32_32 = e2) % 22.20/5.97 | (732) all_0_36_36 = e2 % 22.20/5.97 | % 22.20/5.97 | Equations (732) can reduce 828 to: % 22.20/5.97 | (188) $false % 22.20/5.97 | % 22.20/5.97 |-The branch is then unsatisfiable % 22.20/5.97 |-Branch two: % 22.20/5.97 | (481) ~ (all_0_37_37 = e3) % 22.20/5.97 | (2566) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0 % 22.20/5.97 | % 22.20/5.97 +-Applying beta-rule and splitting (80), into two cases. % 22.20/5.97 |-Branch one: % 22.20/5.97 | (363) all_0_25_25 = e3 % 22.20/5.97 | % 22.20/5.97 | Combining equations (342,363) yields a new equation: % 22.20/5.97 | (387) e3 = e1 % 22.20/5.97 | % 22.20/5.97 | Equations (387) can reduce 74 to: % 22.20/5.97 | (188) $false % 22.20/5.97 | % 22.20/5.97 |-The branch is then unsatisfiable % 22.20/5.97 |-Branch two: % 22.20/5.97 | (223) ~ (all_0_25_25 = e3) % 22.20/5.97 | (368) all_0_29_29 = e3 | all_0_33_33 = e3 | all_0_37_37 = e3 % 22.20/5.97 | % 22.20/5.97 | Equations (342) can reduce 223 to: % 22.20/5.97 | (691) ~ (e3 = e1) % 22.20/5.97 | % 22.20/5.97 | Simplifying 691 yields: % 22.20/5.97 | (74) ~ (e3 = e1) % 22.20/5.97 | % 22.20/5.97 +-Applying beta-rule and splitting (368), into two cases. % 22.20/5.97 |-Branch one: % 22.20/5.97 | (287) all_0_29_29 = e3 % 22.20/5.97 | % 22.20/5.97 | Combining equations (306,287) yields a new equation: % 22.20/5.97 | (370) e3 = e0 % 22.20/5.97 | % 22.20/5.97 | Equations (370) can reduce 79 to: % 22.20/5.97 | (188) $false % 22.20/5.97 | % 22.20/5.97 |-The branch is then unsatisfiable % 22.20/5.97 |-Branch two: % 22.20/5.97 | (246) ~ (all_0_29_29 = e3) % 22.20/5.97 | (373) all_0_33_33 = e3 | all_0_37_37 = e3 % 22.20/5.97 | % 22.20/5.97 | Equations (306) can reduce 246 to: % 22.20/5.97 | (205) ~ (e3 = e0) % 22.20/5.97 | % 22.20/5.97 | Simplifying 205 yields: % 22.20/5.97 | (79) ~ (e3 = e0) % 22.20/5.97 | % 22.20/5.97 +-Applying beta-rule and splitting (2566), into two cases. % 22.20/5.97 |-Branch one: % 22.20/5.97 | (814) all_0_37_37 = e2 % 22.20/5.97 | % 22.20/5.97 | Combining equations (814,2284) yields a new equation: % 22.20/5.97 | (2582) all_0_15_15 = e2 % 22.20/5.97 | % 22.20/5.97 | Equations (814) can reduce 182 to: % 22.20/5.97 | (813) ~ (all_0_33_33 = e2) % 22.20/5.97 | % 22.20/5.97 | Equations (814) can reduce 63 to: % 22.20/5.97 | (553) ~ (all_0_38_38 = e2) % 22.20/5.97 | % 22.20/5.97 | Simplifying 553 yields: % 22.20/5.97 | (554) ~ (all_0_38_38 = e2) % 22.20/5.97 | % 22.20/5.97 | Equations (814) can reduce 481 to: % 22.20/5.97 | (340) ~ (e3 = e2) % 22.20/5.97 | % 22.20/5.97 | Simplifying 340 yields: % 22.20/5.97 | (62) ~ (e3 = e2) % 22.20/5.97 | % 22.20/5.97 | Equations (814) can reduce 504 to: % 22.20/5.97 | (128) ~ (e2 = e1) % 22.20/5.97 | % 22.20/5.97 | Equations (814) can reduce 203 to: % 22.20/5.97 | (87) ~ (e2 = e0) % 22.20/5.97 | % 22.20/5.97 +-Applying beta-rule and splitting (33), into two cases. % 22.20/5.97 |-Branch one: % 22.20/5.97 | (374) all_0_33_33 = e3 % 22.20/5.97 | % 22.20/5.97 | Equations (374) can reduce 813 to: % 22.20/5.97 | (62) ~ (e3 = e2) % 22.20/5.97 | % 22.20/5.97 | From (374) and (157) follows: % 22.20/5.97 | (2592) op(e2, e3) = all_0_17_17 % 22.20/5.97 | % 22.20/5.97 +-Applying beta-rule and splitting (14), into two cases. % 22.20/5.97 |-Branch one: % 22.20/5.97 | (405) all_0_32_32 = e2 % 22.20/5.97 | % 22.20/5.97 | Equations (405) can reduce 95 to: % 22.20/5.97 | (852) ~ (all_0_28_28 = e2) % 22.20/5.97 | % 22.20/5.97 | Equations (405) can reduce 11 to: % 22.20/5.97 | (1049) ~ (all_0_36_36 = e2) % 22.20/5.97 | % 22.20/5.97 | Simplifying 1049 yields: % 22.20/5.97 | (828) ~ (all_0_36_36 = e2) % 22.20/5.97 | % 22.20/5.97 | Instantiating formula (58) with e2, e3, all_0_17_17, all_0_28_28 and discharging atoms op(e2, e3) = all_0_17_17, op(e2, e3) = all_0_28_28, yields: % 22.20/5.97 | (2597) all_0_17_17 = all_0_28_28 % 22.20/5.97 | % 22.20/5.97 +-Applying beta-rule and splitting (121), into two cases. % 22.20/5.97 |-Branch one: % 22.20/5.97 | (654) all_0_28_28 = e3 % 22.20/5.97 | % 22.20/5.97 | Combining equations (654,2597) yields a new equation: % 22.20/5.97 | (2599) all_0_17_17 = e3 % 22.20/5.97 | % 22.20/5.97 | Equations (654) can reduce 159 to: % 22.20/5.97 | (1053) ~ (all_0_30_30 = e3) % 22.20/5.97 | % 22.20/5.97 | Simplifying 1053 yields: % 22.20/5.97 | (556) ~ (all_0_30_30 = e3) % 22.20/5.97 | % 22.20/5.97 +-Applying beta-rule and splitting (34), into two cases. % 22.20/5.97 |-Branch one: % 22.20/5.97 | (561) all_0_30_30 = e3 % 22.20/5.97 | % 22.20/5.97 | Equations (561) can reduce 556 to: % 22.20/5.97 | (188) $false % 22.20/5.97 | % 22.20/5.97 |-The branch is then unsatisfiable % 22.20/5.97 |-Branch two: % 22.20/5.97 | (556) ~ (all_0_30_30 = e3) % 22.20/5.97 | (564) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0 % 22.20/5.97 | % 22.20/5.97 +-Applying beta-rule and splitting (564), into two cases. % 22.20/5.97 |-Branch one: % 22.20/5.97 | (565) all_0_30_30 = e2 % 22.20/5.97 | % 22.20/5.97 | Equations (565) can reduce 552 to: % 22.20/5.97 | (188) $false % 22.20/5.97 | % 22.20/5.97 |-The branch is then unsatisfiable % 22.20/5.97 |-Branch two: % 22.20/5.97 | (552) ~ (all_0_30_30 = e2) % 22.20/5.97 | (568) all_0_30_30 = e1 | all_0_30_30 = e0 % 22.20/5.97 | % 22.20/5.97 +-Applying beta-rule and splitting (48), into two cases. % 22.20/5.97 |-Branch one: % 22.20/5.97 | (273) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) | ( ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35)) % 22.20/5.97 | % 22.20/5.97 +-Applying beta-rule and splitting (273), into two cases. % 22.20/5.97 |-Branch one: % 22.20/5.97 | (274) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) % 22.20/5.97 | % 22.20/5.97 +-Applying beta-rule and splitting (274), into two cases. % 22.20/5.97 |-Branch one: % 22.20/5.97 | (275) ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27) % 22.20/5.97 | % 22.20/5.97 | Applying alpha-rule on (275) yields: % 22.20/5.97 | (276) ~ (all_0_8_8 = all_0_24_24) % 22.20/5.97 | (277) ~ (all_0_9_9 = all_0_25_25) % 22.20/5.97 | (278) ~ (all_0_10_10 = all_0_26_26) % 22.20/5.97 | (279) ~ (all_0_11_11 = all_0_27_27) % 22.20/5.97 | % 22.20/5.97 | Equations (2318,342) can reduce 277 to: % 22.20/5.97 | (258) ~ (all_0_30_30 = e1) % 22.20/5.97 | % 22.20/5.97 +-Applying beta-rule and splitting (568), into two cases. % 22.20/5.97 |-Branch one: % 22.20/5.97 | (525) all_0_30_30 = e1 % 22.20/5.97 | % 22.20/5.97 | Equations (525) can reduce 258 to: % 22.20/5.97 | (188) $false % 22.20/5.97 | % 22.20/5.97 |-The branch is then unsatisfiable % 22.20/5.97 |-Branch two: % 22.20/5.98 | (258) ~ (all_0_30_30 = e1) % 22.20/5.98 | (557) all_0_30_30 = e0 % 22.20/5.98 | % 22.20/5.98 | Equations (557) can reduce 313 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (281) ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31) % 22.20/5.98 | % 22.20/5.98 | Applying alpha-rule on (281) yields: % 22.20/5.98 | (282) ~ (all_0_12_12 = all_0_28_28) % 22.20/5.98 | (283) ~ (all_0_13_13 = all_0_29_29) % 22.20/5.98 | (284) ~ (all_0_14_14 = all_0_30_30) % 22.20/5.98 | (285) ~ (all_0_15_15 = all_0_31_31) % 22.20/5.98 | % 22.20/5.98 | Equations (2582,309) can reduce 285 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (607) ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35) % 22.20/5.98 | % 22.20/5.98 | Applying alpha-rule on (607) yields: % 22.20/5.98 | (608) ~ (all_0_16_16 = all_0_32_32) % 22.20/5.98 | (609) ~ (all_0_17_17 = all_0_33_33) % 22.20/5.98 | (610) ~ (all_0_18_18 = all_0_34_34) % 22.20/5.98 | (611) ~ (all_0_19_19 = all_0_35_35) % 22.20/5.98 | % 22.20/5.98 | Equations (2599,374) can reduce 609 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (613) ~ (all_0_20_20 = all_0_36_36) & ~ (all_0_21_21 = all_0_37_37) & ~ (all_0_22_22 = all_0_38_38) & ~ (all_0_23_23 = all_0_39_39) % 22.20/5.98 | % 22.20/5.98 | Applying alpha-rule on (613) yields: % 22.20/5.98 | (614) ~ (all_0_20_20 = all_0_36_36) % 22.20/5.98 | (615) ~ (all_0_21_21 = all_0_37_37) % 22.20/5.98 | (616) ~ (all_0_22_22 = all_0_38_38) % 22.20/5.98 | (617) ~ (all_0_23_23 = all_0_39_39) % 22.20/5.98 | % 22.20/5.98 | Equations (217,198) can reduce 617 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (229) ~ (all_0_28_28 = e3) % 22.20/5.98 | (2366) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0 % 22.20/5.98 | % 22.20/5.98 +-Applying beta-rule and splitting (2366), into two cases. % 22.20/5.98 |-Branch one: % 22.20/5.98 | (849) all_0_28_28 = e2 % 22.20/5.98 | % 22.20/5.98 | Equations (849) can reduce 852 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (852) ~ (all_0_28_28 = e2) % 22.20/5.98 | (2646) all_0_28_28 = e1 | all_0_28_28 = e0 % 22.20/5.98 | % 22.20/5.98 +-Applying beta-rule and splitting (2646), into two cases. % 22.20/5.98 |-Branch one: % 22.20/5.98 | (348) all_0_28_28 = e1 % 22.20/5.98 | % 22.20/5.98 | Equations (348) can reduce 52 to: % 22.20/5.98 | (351) ~ (all_0_36_36 = e1) % 22.20/5.98 | % 22.20/5.98 | Simplifying 351 yields: % 22.20/5.98 | (352) ~ (all_0_36_36 = e1) % 22.20/5.98 | % 22.20/5.98 +-Applying beta-rule and splitting (97), into two cases. % 22.20/5.98 |-Branch one: % 22.20/5.98 | (454) all_0_36_36 = e3 % 22.20/5.98 | % 22.20/5.98 | Combining equations (454,1908) yields a new equation: % 22.20/5.98 | (2651) all_0_11_11 = e3 % 22.20/5.98 | % 22.20/5.98 | Equations (454) can reduce 23 to: % 22.20/5.98 | (673) ~ (all_0_38_38 = e3) % 22.20/5.98 | % 22.20/5.98 | Simplifying 673 yields: % 22.20/5.98 | (499) ~ (all_0_38_38 = e3) % 22.20/5.98 | % 22.20/5.98 +-Applying beta-rule and splitting (61), into two cases. % 22.20/5.98 |-Branch one: % 22.20/5.98 | (489) all_0_38_38 = e3 % 22.20/5.98 | % 22.20/5.98 | Equations (489) can reduce 499 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (499) ~ (all_0_38_38 = e3) % 22.20/5.98 | (575) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0 % 22.20/5.98 | % 22.20/5.98 +-Applying beta-rule and splitting (48), into two cases. % 22.20/5.98 |-Branch one: % 22.20/5.98 | (273) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) | ( ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35)) % 22.20/5.98 | % 22.20/5.98 +-Applying beta-rule and splitting (273), into two cases. % 22.20/5.98 |-Branch one: % 22.20/5.98 | (274) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) % 22.20/5.98 | % 22.20/5.98 +-Applying beta-rule and splitting (274), into two cases. % 22.20/5.98 |-Branch one: % 22.20/5.98 | (275) ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27) % 22.20/5.98 | % 22.20/5.98 | Applying alpha-rule on (275) yields: % 22.20/5.98 | (276) ~ (all_0_8_8 = all_0_24_24) % 22.20/5.98 | (277) ~ (all_0_9_9 = all_0_25_25) % 22.20/5.98 | (278) ~ (all_0_10_10 = all_0_26_26) % 22.20/5.98 | (279) ~ (all_0_11_11 = all_0_27_27) % 22.20/5.98 | % 22.20/5.98 | Equations (2651,328) can reduce 279 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (281) ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31) % 22.20/5.98 | % 22.20/5.98 | Applying alpha-rule on (281) yields: % 22.20/5.98 | (282) ~ (all_0_12_12 = all_0_28_28) % 22.20/5.98 | (283) ~ (all_0_13_13 = all_0_29_29) % 22.20/5.98 | (284) ~ (all_0_14_14 = all_0_30_30) % 22.20/5.98 | (285) ~ (all_0_15_15 = all_0_31_31) % 22.20/5.98 | % 22.20/5.98 | Equations (2582,309) can reduce 285 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (607) ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35) % 22.20/5.98 | % 22.20/5.98 | Applying alpha-rule on (607) yields: % 22.20/5.98 | (608) ~ (all_0_16_16 = all_0_32_32) % 22.20/5.98 | (609) ~ (all_0_17_17 = all_0_33_33) % 22.20/5.98 | (610) ~ (all_0_18_18 = all_0_34_34) % 22.20/5.98 | (611) ~ (all_0_19_19 = all_0_35_35) % 22.20/5.98 | % 22.20/5.98 | Equations (2285,398) can reduce 611 to: % 22.20/5.98 | (263) ~ (all_0_38_38 = e1) % 22.20/5.98 | % 22.20/5.98 +-Applying beta-rule and splitting (575), into two cases. % 22.20/5.98 |-Branch one: % 22.20/5.98 | (576) all_0_38_38 = e2 % 22.20/5.98 | % 22.20/5.98 | Equations (576) can reduce 554 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (554) ~ (all_0_38_38 = e2) % 22.20/5.98 | (579) all_0_38_38 = e1 | all_0_38_38 = e0 % 22.20/5.98 | % 22.20/5.98 +-Applying beta-rule and splitting (579), into two cases. % 22.20/5.98 |-Branch one: % 22.20/5.98 | (506) all_0_38_38 = e1 % 22.20/5.98 | % 22.20/5.98 | Equations (506) can reduce 263 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (263) ~ (all_0_38_38 = e1) % 22.20/5.98 | (583) all_0_38_38 = e0 % 22.20/5.98 | % 22.20/5.98 | Equations (583) can reduce 204 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (613) ~ (all_0_20_20 = all_0_36_36) & ~ (all_0_21_21 = all_0_37_37) & ~ (all_0_22_22 = all_0_38_38) & ~ (all_0_23_23 = all_0_39_39) % 22.20/5.98 | % 22.20/5.98 | Applying alpha-rule on (613) yields: % 22.20/5.98 | (614) ~ (all_0_20_20 = all_0_36_36) % 22.20/5.98 | (615) ~ (all_0_21_21 = all_0_37_37) % 22.20/5.98 | (616) ~ (all_0_22_22 = all_0_38_38) % 22.20/5.98 | (617) ~ (all_0_23_23 = all_0_39_39) % 22.20/5.98 | % 22.20/5.98 | Equations (217,198) can reduce 617 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (233) ~ (all_0_36_36 = e3) % 22.20/5.98 | (457) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0 % 22.20/5.98 | % 22.20/5.98 +-Applying beta-rule and splitting (457), into two cases. % 22.20/5.98 |-Branch one: % 22.20/5.98 | (732) all_0_36_36 = e2 % 22.20/5.98 | % 22.20/5.98 | Equations (732) can reduce 828 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (828) ~ (all_0_36_36 = e2) % 22.20/5.98 | (1147) all_0_36_36 = e1 | all_0_36_36 = e0 % 22.20/5.98 | % 22.20/5.98 +-Applying beta-rule and splitting (1147), into two cases. % 22.20/5.98 |-Branch one: % 22.20/5.98 | (445) all_0_36_36 = e1 % 22.20/5.98 | % 22.20/5.98 | Equations (445) can reduce 352 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (352) ~ (all_0_36_36 = e1) % 22.20/5.98 | (1232) all_0_36_36 = e0 % 22.20/5.98 | % 22.20/5.98 | Equations (1232) can reduce 202 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (518) ~ (all_0_28_28 = e1) % 22.20/5.98 | (763) all_0_28_28 = e0 % 22.20/5.98 | % 22.20/5.98 | Equations (763) can reduce 311 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (428) ~ (all_0_32_32 = e2) % 22.20/5.98 | (429) all_0_33_33 = e2 | all_0_34_34 = e2 | all_0_35_35 = e2 % 22.20/5.98 | % 22.20/5.98 +-Applying beta-rule and splitting (429), into two cases. % 22.20/5.98 |-Branch one: % 22.20/5.98 | (810) all_0_33_33 = e2 % 22.20/5.98 | % 22.20/5.98 | Combining equations (374,810) yields a new equation: % 22.20/5.98 | (364) e3 = e2 % 22.20/5.98 | % 22.20/5.98 | Simplifying 364 yields: % 22.20/5.98 | (333) e3 = e2 % 22.20/5.98 | % 22.20/5.98 | Equations (333) can reduce 62 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (813) ~ (all_0_33_33 = e2) % 22.20/5.98 | (1658) all_0_34_34 = e2 | all_0_35_35 = e2 % 22.20/5.98 | % 22.20/5.98 +-Applying beta-rule and splitting (1658), into two cases. % 22.20/5.98 |-Branch one: % 22.20/5.98 | (252) all_0_34_34 = e2 % 22.20/5.98 | % 22.20/5.98 | Combining equations (620,252) yields a new equation: % 22.20/5.98 | (536) e2 = e0 % 22.20/5.98 | % 22.20/5.98 | Equations (536) can reduce 87 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (247) ~ (all_0_34_34 = e2) % 22.20/5.98 | (394) all_0_35_35 = e2 % 22.20/5.98 | % 22.20/5.98 | Combining equations (398,394) yields a new equation: % 22.20/5.98 | (343) e2 = e1 % 22.20/5.98 | % 22.20/5.98 | Equations (343) can reduce 128 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (359) ~ (all_0_33_33 = e3) % 22.20/5.98 | (2357) all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0 % 22.20/5.98 | % 22.20/5.98 +-Applying beta-rule and splitting (14), into two cases. % 22.20/5.98 |-Branch one: % 22.20/5.98 | (405) all_0_32_32 = e2 % 22.20/5.98 | % 22.20/5.98 +-Applying beta-rule and splitting (54), into two cases. % 22.20/5.98 |-Branch one: % 22.20/5.98 | (408) all_0_32_32 = e3 % 22.20/5.98 | % 22.20/5.98 | Combining equations (405,408) yields a new equation: % 22.20/5.98 | (333) e3 = e2 % 22.20/5.98 | % 22.20/5.98 | Equations (333) can reduce 62 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (231) ~ (all_0_32_32 = e3) % 22.20/5.98 | (413) all_0_33_33 = e3 | all_0_34_34 = e3 | all_0_35_35 = e3 % 22.20/5.98 | % 22.20/5.98 +-Applying beta-rule and splitting (413), into two cases. % 22.20/5.98 |-Branch one: % 22.20/5.98 | (374) all_0_33_33 = e3 % 22.20/5.98 | % 22.20/5.98 | Equations (374) can reduce 359 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (359) ~ (all_0_33_33 = e3) % 22.20/5.98 | (1510) all_0_34_34 = e3 | all_0_35_35 = e3 % 22.20/5.98 | % 22.20/5.98 +-Applying beta-rule and splitting (1510), into two cases. % 22.20/5.98 |-Branch one: % 22.20/5.98 | (248) all_0_34_34 = e3 % 22.20/5.98 | % 22.20/5.98 | Combining equations (620,248) yields a new equation: % 22.20/5.98 | (370) e3 = e0 % 22.20/5.98 | % 22.20/5.98 | Equations (370) can reduce 79 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (244) ~ (all_0_34_34 = e3) % 22.20/5.98 | (358) all_0_35_35 = e3 % 22.20/5.98 | % 22.20/5.98 | Combining equations (398,358) yields a new equation: % 22.20/5.98 | (387) e3 = e1 % 22.20/5.98 | % 22.20/5.98 | Equations (387) can reduce 74 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (428) ~ (all_0_32_32 = e2) % 22.20/5.98 | (429) all_0_33_33 = e2 | all_0_34_34 = e2 | all_0_35_35 = e2 % 22.20/5.98 | % 22.20/5.98 +-Applying beta-rule and splitting (429), into two cases. % 22.20/5.98 |-Branch one: % 22.20/5.98 | (810) all_0_33_33 = e2 % 22.20/5.98 | % 22.20/5.98 | Equations (810) can reduce 813 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (813) ~ (all_0_33_33 = e2) % 22.20/5.98 | (1658) all_0_34_34 = e2 | all_0_35_35 = e2 % 22.20/5.98 | % 22.20/5.98 +-Applying beta-rule and splitting (1658), into two cases. % 22.20/5.98 |-Branch one: % 22.20/5.98 | (252) all_0_34_34 = e2 % 22.20/5.98 | % 22.20/5.98 | Combining equations (620,252) yields a new equation: % 22.20/5.98 | (536) e2 = e0 % 22.20/5.98 | % 22.20/5.98 | Equations (536) can reduce 87 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.98 |-Branch two: % 22.20/5.98 | (247) ~ (all_0_34_34 = e2) % 22.20/5.98 | (394) all_0_35_35 = e2 % 22.20/5.98 | % 22.20/5.98 | Combining equations (398,394) yields a new equation: % 22.20/5.98 | (343) e2 = e1 % 22.20/5.98 | % 22.20/5.98 | Equations (343) can reduce 128 to: % 22.20/5.98 | (188) $false % 22.20/5.98 | % 22.20/5.98 |-The branch is then unsatisfiable % 22.20/5.99 |-Branch two: % 22.20/5.99 | (339) ~ (all_0_37_37 = e2) % 22.20/5.99 | (2755) all_0_37_37 = e1 | all_0_37_37 = e0 % 22.20/5.99 | % 22.20/5.99 +-Applying beta-rule and splitting (2755), into two cases. % 22.20/5.99 |-Branch one: % 22.20/5.99 | (386) all_0_37_37 = e1 % 22.20/5.99 | % 22.20/5.99 | Equations (386) can reduce 504 to: % 22.20/5.99 | (188) $false % 22.20/5.99 | % 22.20/5.99 |-The branch is then unsatisfiable % 22.20/5.99 |-Branch two: % 22.20/5.99 | (504) ~ (all_0_37_37 = e1) % 22.20/5.99 | (886) all_0_37_37 = e0 % 22.20/5.99 | % 22.20/5.99 | Equations (886) can reduce 203 to: % 22.20/5.99 | (188) $false % 22.20/5.99 | % 22.20/5.99 |-The branch is then unsatisfiable % 22.20/5.99 |-Branch two: % 22.20/5.99 | (538) ~ (all_0_26_26 = e2) % 22.20/5.99 | (586) all_0_26_26 = e1 | all_0_26_26 = e0 % 22.20/5.99 | % 22.20/5.99 +-Applying beta-rule and splitting (6), into two cases. % 22.20/5.99 |-Branch one: % 22.20/5.99 | (534) all_0_26_26 = e2 % 22.20/5.99 | % 22.20/5.99 | Equations (534) can reduce 538 to: % 22.20/5.99 | (188) $false % 22.20/5.99 | % 22.20/5.99 |-The branch is then unsatisfiable % 22.20/5.99 |-Branch two: % 22.20/5.99 | (538) ~ (all_0_26_26 = e2) % 22.20/5.99 | (1441) all_0_30_30 = e2 | all_0_34_34 = e2 | all_0_38_38 = e2 % 22.20/5.99 | % 22.20/5.99 +-Applying beta-rule and splitting (336), into two cases. % 22.20/5.99 |-Branch one: % 22.20/5.99 | (337) all_0_25_25 = e2 % 22.20/5.99 | % 22.20/5.99 | Combining equations (342,337) yields a new equation: % 22.20/5.99 | (343) e2 = e1 % 22.20/5.99 | % 22.20/5.99 | Equations (343) can reduce 128 to: % 22.20/5.99 | (188) $false % 22.20/5.99 | % 22.20/5.99 |-The branch is then unsatisfiable % 22.20/5.99 |-Branch two: % 22.20/5.99 | (532) ~ (all_0_25_25 = e2) % 22.20/5.99 | (533) all_0_26_26 = e2 | all_0_27_27 = e2 % 22.20/5.99 | % 22.20/5.99 +-Applying beta-rule and splitting (533), into two cases. % 22.20/5.99 |-Branch one: % 22.20/5.99 | (534) all_0_26_26 = e2 % 22.20/5.99 | % 22.20/5.99 | Equations (534) can reduce 538 to: % 22.20/5.99 | (188) $false % 22.20/5.99 | % 22.20/5.99 |-The branch is then unsatisfiable % 22.20/5.99 |-Branch two: % 22.20/5.99 | (538) ~ (all_0_26_26 = e2) % 22.20/5.99 | (539) all_0_27_27 = e2 % 22.20/5.99 | % 22.20/5.99 | Combining equations (328,539) yields a new equation: % 22.20/5.99 | (364) e3 = e2 % 22.20/5.99 | % 22.20/5.99 | Simplifying 364 yields: % 22.20/5.99 | (333) e3 = e2 % 22.20/5.99 | % 22.20/5.99 | Equations (333) can reduce 62 to: % 22.20/5.99 | (188) $false % 22.20/5.99 | % 22.20/5.99 |-The branch is then unsatisfiable % 22.20/5.99 |-Branch two: % 22.20/5.99 | (345) ~ (all_0_25_25 = e1) % 22.20/5.99 | (346) all_0_29_29 = e1 | all_0_33_33 = e1 | all_0_37_37 = e1 % 22.20/5.99 | % 22.20/5.99 +-Applying beta-rule and splitting (126), into two cases. % 22.20/5.99 |-Branch one: % 22.20/5.99 | (694) all_0_24_24 = e1 % 22.20/5.99 | % 22.20/5.99 | Combining equations (1082,694) yields a new equation: % 22.20/5.99 | (379) e1 = e0 % 22.20/5.99 | % 22.20/5.99 | Equations (379) can reduce 153 to: % 22.20/5.99 | (188) $false % 22.20/5.99 | % 22.20/5.99 |-The branch is then unsatisfiable % 22.20/5.99 |-Branch two: % 22.20/5.99 | (218) ~ (all_0_24_24 = e1) % 22.20/5.99 | (946) all_0_25_25 = e1 | all_0_26_26 = e1 | all_0_27_27 = e1 % 22.20/5.99 | % 22.20/5.99 | Equations (1082) can reduce 218 to: % 22.20/5.99 | (209) ~ (e1 = e0) % 22.20/5.99 | % 22.20/5.99 | Simplifying 209 yields: % 22.20/5.99 | (153) ~ (e1 = e0) % 22.20/5.99 | % 22.20/5.99 +-Applying beta-rule and splitting (346), into two cases. % 22.20/5.99 |-Branch one: % 22.20/5.99 | (303) all_0_29_29 = e1 % 22.20/5.99 | % 22.20/5.99 | Combining equations (306,303) yields a new equation: % 22.20/5.99 | (379) e1 = e0 % 22.20/5.99 | % 22.20/5.99 | Equations (379) can reduce 153 to: % 22.20/5.99 | (188) $false % 22.20/5.99 | % 22.20/5.99 |-The branch is then unsatisfiable % 22.20/5.99 |-Branch two: % 22.20/5.99 | (183) ~ (all_0_29_29 = e1) % 22.20/5.99 | (382) all_0_33_33 = e1 | all_0_37_37 = e1 % 22.20/5.99 | % 22.20/5.99 +-Applying beta-rule and splitting (382), into two cases. % 22.20/5.99 |-Branch one: % 22.20/5.99 | (383) all_0_33_33 = e1 % 22.20/5.99 | % 22.20/5.99 | Equations (383) can reduce 259 to: % 22.20/5.99 | (188) $false % 22.20/5.99 | % 22.20/5.99 |-The branch is then unsatisfiable % 22.20/5.99 |-Branch two: % 22.20/5.99 | (259) ~ (all_0_33_33 = e1) % 22.20/5.99 | (386) all_0_37_37 = e1 % 22.20/5.99 | % 22.20/5.99 | Equations (386) can reduce 31 to: % 22.20/5.99 | (345) ~ (all_0_25_25 = e1) % 22.20/5.99 | % 22.20/5.99 | Equations (386) can reduce 182 to: % 22.20/5.99 | (259) ~ (all_0_33_33 = e1) % 22.20/5.99 | % 22.20/5.99 | Equations (386) can reduce 169 to: % 22.20/5.99 | (352) ~ (all_0_36_36 = e1) % 22.20/5.99 | % 22.20/5.99 | Equations (386) can reduce 203 to: % 22.20/5.99 | (153) ~ (e1 = e0) % 22.20/5.99 | % 22.20/5.99 +-Applying beta-rule and splitting (113), into two cases. % 22.20/5.99 |-Branch one: % 22.20/5.99 | (694) all_0_24_24 = e1 % 22.20/5.99 | % 22.20/5.99 | Combining equations (1082,694) yields a new equation: % 22.20/5.99 | (379) e1 = e0 % 22.20/5.99 | % 22.20/5.99 | Equations (379) can reduce 153 to: % 22.20/5.99 | (188) $false % 22.20/5.99 | % 22.20/5.99 |-The branch is then unsatisfiable % 22.20/5.99 |-Branch two: % 22.20/5.99 | (218) ~ (all_0_24_24 = e1) % 22.20/5.99 | (699) all_0_28_28 = e1 | all_0_32_32 = e1 | all_0_36_36 = e1 % 22.20/5.99 | % 22.20/5.99 +-Applying beta-rule and splitting (165), into two cases. % 22.20/5.99 |-Branch one: % 22.20/5.99 | (363) all_0_25_25 = e3 % 22.20/5.99 | % 22.20/5.99 | Equations (363) can reduce 223 to: % 22.20/5.99 | (188) $false % 22.20/5.99 | % 22.20/5.99 |-The branch is then unsatisfiable % 22.20/5.99 |-Branch two: % 22.20/5.99 | (223) ~ (all_0_25_25 = e3) % 22.20/5.99 | (2809) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0 % 22.20/5.99 | % 22.20/5.99 +-Applying beta-rule and splitting (946), into two cases. % 22.20/5.99 |-Branch one: % 22.20/5.99 | (342) all_0_25_25 = e1 % 22.20/5.99 | % 22.20/5.99 | Equations (342) can reduce 345 to: % 22.20/5.99 | (188) $false % 22.20/5.99 | % 22.20/5.99 |-The branch is then unsatisfiable % 22.20/5.99 |-Branch two: % 22.20/5.99 | (345) ~ (all_0_25_25 = e1) % 22.20/5.99 | (950) all_0_26_26 = e1 | all_0_27_27 = e1 % 22.20/5.99 | % 22.20/5.99 +-Applying beta-rule and splitting (950), into two cases. % 22.20/5.99 |-Branch one: % 22.20/5.99 | (587) all_0_26_26 = e1 % 22.20/5.99 | % 22.20/5.99 | Equations (587) can reduce 71 to: % 22.20/5.99 | (345) ~ (all_0_25_25 = e1) % 22.20/5.99 | % 22.20/5.99 | From (587) and (176) follows: % 22.20/5.99 | (2816) op(e3, e1) = e1 % 22.20/5.99 | % 22.20/5.99 +-Applying beta-rule and splitting (2809), into two cases. % 22.20/5.99 |-Branch one: % 22.20/5.99 | (337) all_0_25_25 = e2 % 22.20/5.99 | % 22.20/5.99 | Equations (337) can reduce 114 to: % 22.20/5.99 | (2551) ~ (all_0_33_33 = e2) % 22.20/5.99 | % 22.20/5.99 | Simplifying 2551 yields: % 22.20/5.99 | (813) ~ (all_0_33_33 = e2) % 22.20/5.99 | % 22.20/5.99 | Equations (337) can reduce 726 to: % 22.20/5.99 | (87) ~ (e2 = e0) % 22.20/5.99 | % 22.20/5.99 | From (337) and (43) follows: % 22.20/5.99 | (2821) op(e3, e2) = e2 % 22.20/5.99 | % 22.20/5.99 +-Applying beta-rule and splitting (33), into two cases. % 22.20/5.99 |-Branch one: % 22.20/5.99 | (374) all_0_33_33 = e3 % 22.20/5.99 | % 22.20/5.99 | Equations (374) can reduce 813 to: % 22.20/5.99 | (62) ~ (e3 = e2) % 22.20/5.99 | % 22.20/5.99 +-Applying beta-rule and splitting (699), into two cases. % 22.20/5.99 |-Branch one: % 22.20/5.99 | (348) all_0_28_28 = e1 % 22.20/5.99 | % 22.20/5.99 | Equations (348) can reduce 159 to: % 22.20/5.99 | (548) ~ (all_0_30_30 = e1) % 22.20/5.99 | % 22.20/5.99 | Simplifying 548 yields: % 22.20/5.99 | (258) ~ (all_0_30_30 = e1) % 22.20/5.99 | % 22.20/5.99 | Equations (348) can reduce 852 to: % 22.20/5.99 | (264) ~ (e2 = e1) % 22.20/5.99 | % 22.20/5.99 | Simplifying 264 yields: % 22.20/5.99 | (128) ~ (e2 = e1) % 22.20/5.99 | % 22.20/5.99 | From (348) and (175) follows: % 22.20/5.99 | (2829) op(e3, e1) = all_0_12_12 % 22.20/5.99 | % 22.20/5.99 +-Applying beta-rule and splitting (14), into two cases. % 22.20/5.99 |-Branch one: % 22.20/5.99 | (405) all_0_32_32 = e2 % 22.20/5.99 | % 22.20/5.99 | From (405) and (75) follows: % 22.20/5.99 | (2831) op(e3, e2) = all_0_16_16 % 22.20/5.99 | % 22.20/5.99 +-Applying beta-rule and splitting (97), into two cases. % 22.20/5.99 |-Branch one: % 22.20/5.99 | (454) all_0_36_36 = e3 % 22.20/5.99 | % 22.20/5.99 | Combining equations (454,1908) yields a new equation: % 22.20/5.99 | (2651) all_0_11_11 = e3 % 22.20/5.99 | % 22.20/5.99 | Instantiating formula (58) with e3, e2, e2, all_0_16_16 and discharging atoms op(e3, e2) = all_0_16_16, op(e3, e2) = e2, yields: % 22.20/5.99 | (2834) all_0_16_16 = e2 % 22.20/5.99 | % 22.20/5.99 | Instantiating formula (58) with e3, e1, e1, all_0_12_12 and discharging atoms op(e3, e1) = all_0_12_12, op(e3, e1) = e1, yields: % 22.20/5.99 | (2835) all_0_12_12 = e1 % 22.20/5.99 | % 22.20/5.99 +-Applying beta-rule and splitting (48), into two cases. % 22.20/5.99 |-Branch one: % 22.20/5.99 | (273) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) | ( ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35)) % 22.20/5.99 | % 22.20/5.99 +-Applying beta-rule and splitting (273), into two cases. % 22.20/5.99 |-Branch one: % 22.20/5.99 | (274) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) % 22.20/5.99 | % 22.20/5.99 +-Applying beta-rule and splitting (274), into two cases. % 22.20/5.99 |-Branch one: % 22.20/5.99 | (275) ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27) % 22.20/5.99 | % 22.20/5.99 | Applying alpha-rule on (275) yields: % 22.20/5.99 | (276) ~ (all_0_8_8 = all_0_24_24) % 22.20/5.99 | (277) ~ (all_0_9_9 = all_0_25_25) % 22.20/5.99 | (278) ~ (all_0_10_10 = all_0_26_26) % 22.20/5.99 | (279) ~ (all_0_11_11 = all_0_27_27) % 22.20/5.99 | % 22.20/5.99 | Equations (2651,328) can reduce 279 to: % 22.20/5.99 | (188) $false % 22.20/5.99 | % 22.20/5.99 |-The branch is then unsatisfiable % 22.20/5.99 |-Branch two: % 22.20/5.99 | (281) ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31) % 22.20/5.99 | % 22.20/5.99 | Applying alpha-rule on (281) yields: % 22.20/5.99 | (282) ~ (all_0_12_12 = all_0_28_28) % 22.20/5.99 | (283) ~ (all_0_13_13 = all_0_29_29) % 22.20/5.99 | (284) ~ (all_0_14_14 = all_0_30_30) % 22.20/5.99 | (285) ~ (all_0_15_15 = all_0_31_31) % 22.20/5.99 | % 22.20/5.99 | Equations (2835,348) can reduce 282 to: % 22.20/5.99 | (188) $false % 22.20/5.99 | % 22.20/5.99 |-The branch is then unsatisfiable % 22.20/5.99 |-Branch two: % 22.20/5.99 | (607) ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35) % 22.20/5.99 | % 22.20/5.99 | Applying alpha-rule on (607) yields: % 22.20/5.99 | (608) ~ (all_0_16_16 = all_0_32_32) % 22.20/5.99 | (609) ~ (all_0_17_17 = all_0_33_33) % 22.20/5.99 | (610) ~ (all_0_18_18 = all_0_34_34) % 22.20/5.99 | (611) ~ (all_0_19_19 = all_0_35_35) % 22.20/5.99 | % 22.20/5.99 | Equations (2834,405) can reduce 608 to: % 22.20/5.99 | (188) $false % 22.20/5.99 | % 22.20/5.99 |-The branch is then unsatisfiable % 22.20/5.99 |-Branch two: % 22.20/5.99 | (613) ~ (all_0_20_20 = all_0_36_36) & ~ (all_0_21_21 = all_0_37_37) & ~ (all_0_22_22 = all_0_38_38) & ~ (all_0_23_23 = all_0_39_39) % 22.20/5.99 | % 22.20/5.99 | Applying alpha-rule on (613) yields: % 22.20/5.99 | (614) ~ (all_0_20_20 = all_0_36_36) % 22.20/5.99 | (615) ~ (all_0_21_21 = all_0_37_37) % 22.20/5.99 | (616) ~ (all_0_22_22 = all_0_38_38) % 22.20/5.99 | (617) ~ (all_0_23_23 = all_0_39_39) % 22.20/5.99 | % 22.20/5.99 | Equations (217,198) can reduce 617 to: % 22.20/5.99 | (188) $false % 22.20/5.99 | % 22.20/5.99 |-The branch is then unsatisfiable % 22.20/5.99 |-Branch two: % 22.20/5.99 | (233) ~ (all_0_36_36 = e3) % 22.20/5.99 | (457) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0 % 22.20/5.99 | % 22.20/5.99 +-Applying beta-rule and splitting (34), into two cases. % 22.20/5.99 |-Branch one: % 22.20/5.99 | (561) all_0_30_30 = e3 % 22.20/5.99 | % 22.20/5.99 | Equations (561) can reduce 15 to: % 22.20/5.99 | (673) ~ (all_0_38_38 = e3) % 22.20/5.99 | % 22.20/5.99 | Simplifying 673 yields: % 22.20/5.99 | (499) ~ (all_0_38_38 = e3) % 22.20/5.99 | % 22.20/5.99 | Equations (561) can reduce 258 to: % 22.20/5.99 | (74) ~ (e3 = e1) % 22.20/5.99 | % 22.20/5.99 | Equations (561) can reduce 313 to: % 22.20/5.99 | (79) ~ (e3 = e0) % 22.20/5.99 | % 22.20/5.99 +-Applying beta-rule and splitting (142), into two cases. % 22.20/5.99 |-Branch one: % 22.20/5.99 | (221) all_0_24_24 = e3 % 22.20/5.99 | % 22.20/5.99 | Combining equations (221,1082) yields a new equation: % 22.20/5.99 | (425) e3 = e0 % 22.20/5.99 | % 22.20/5.99 | Simplifying 425 yields: % 22.20/5.99 | (370) e3 = e0 % 22.20/5.99 | % 22.20/5.99 | Equations (370) can reduce 79 to: % 22.20/5.99 | (188) $false % 22.20/5.99 | % 22.20/5.99 |-The branch is then unsatisfiable % 22.20/5.99 |-Branch two: % 22.20/5.99 | (1876) ~ (all_0_24_24 = e3) % 22.20/5.99 | (2125) all_0_28_28 = e3 | all_0_32_32 = e3 | all_0_36_36 = e3 % 22.20/5.99 | % 22.20/6.00 | Equations (1082) can reduce 1876 to: % 22.20/6.00 | (205) ~ (e3 = e0) % 22.20/6.00 | % 22.20/6.00 | Simplifying 205 yields: % 22.20/6.00 | (79) ~ (e3 = e0) % 22.20/6.00 | % 22.20/6.00 +-Applying beta-rule and splitting (107), into two cases. % 22.20/6.00 |-Branch one: % 22.20/6.00 | (454) all_0_36_36 = e3 % 22.20/6.00 | % 22.20/6.00 | Equations (454) can reduce 233 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (233) ~ (all_0_36_36 = e3) % 22.20/6.00 | (477) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3 % 22.20/6.00 | % 22.20/6.00 +-Applying beta-rule and splitting (61), into two cases. % 22.20/6.00 |-Branch one: % 22.20/6.00 | (489) all_0_38_38 = e3 % 22.20/6.00 | % 22.20/6.00 | Equations (489) can reduce 499 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (499) ~ (all_0_38_38 = e3) % 22.20/6.00 | (575) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0 % 22.20/6.00 | % 22.20/6.00 +-Applying beta-rule and splitting (477), into two cases. % 22.20/6.00 |-Branch one: % 22.20/6.00 | (377) all_0_37_37 = e3 % 22.20/6.00 | % 22.20/6.00 | Combining equations (377,386) yields a new equation: % 22.20/6.00 | (492) e3 = e1 % 22.20/6.00 | % 22.20/6.00 | Simplifying 492 yields: % 22.20/6.00 | (387) e3 = e1 % 22.20/6.00 | % 22.20/6.00 | Equations (387) can reduce 74 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (481) ~ (all_0_37_37 = e3) % 22.20/6.00 | (482) all_0_38_38 = e3 | all_0_39_39 = e3 % 22.20/6.00 | % 22.20/6.00 +-Applying beta-rule and splitting (482), into two cases. % 22.20/6.00 |-Branch one: % 22.20/6.00 | (489) all_0_38_38 = e3 % 22.20/6.00 | % 22.20/6.00 | Equations (489) can reduce 499 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (499) ~ (all_0_38_38 = e3) % 22.20/6.00 | (187) all_0_39_39 = e3 % 22.20/6.00 | % 22.20/6.00 | Combining equations (198,187) yields a new equation: % 22.20/6.00 | (370) e3 = e0 % 22.20/6.00 | % 22.20/6.00 | Equations (370) can reduce 79 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (556) ~ (all_0_30_30 = e3) % 22.20/6.00 | (564) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0 % 22.20/6.00 | % 22.20/6.00 +-Applying beta-rule and splitting (564), into two cases. % 22.20/6.00 |-Branch one: % 22.20/6.00 | (565) all_0_30_30 = e2 % 22.20/6.00 | % 22.20/6.00 | Equations (565) can reduce 552 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (552) ~ (all_0_30_30 = e2) % 22.20/6.00 | (568) all_0_30_30 = e1 | all_0_30_30 = e0 % 22.20/6.00 | % 22.20/6.00 +-Applying beta-rule and splitting (568), into two cases. % 22.20/6.00 |-Branch one: % 22.20/6.00 | (525) all_0_30_30 = e1 % 22.20/6.00 | % 22.20/6.00 | Equations (525) can reduce 258 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (258) ~ (all_0_30_30 = e1) % 22.20/6.00 | (557) all_0_30_30 = e0 % 22.20/6.00 | % 22.20/6.00 | Equations (557) can reduce 313 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (428) ~ (all_0_32_32 = e2) % 22.20/6.00 | (429) all_0_33_33 = e2 | all_0_34_34 = e2 | all_0_35_35 = e2 % 22.20/6.00 | % 22.20/6.00 +-Applying beta-rule and splitting (429), into two cases. % 22.20/6.00 |-Branch one: % 22.20/6.00 | (810) all_0_33_33 = e2 % 22.20/6.00 | % 22.20/6.00 | Combining equations (374,810) yields a new equation: % 22.20/6.00 | (364) e3 = e2 % 22.20/6.00 | % 22.20/6.00 | Simplifying 364 yields: % 22.20/6.00 | (333) e3 = e2 % 22.20/6.00 | % 22.20/6.00 | Equations (333) can reduce 62 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (813) ~ (all_0_33_33 = e2) % 22.20/6.00 | (1658) all_0_34_34 = e2 | all_0_35_35 = e2 % 22.20/6.00 | % 22.20/6.00 +-Applying beta-rule and splitting (1658), into two cases. % 22.20/6.00 |-Branch one: % 22.20/6.00 | (252) all_0_34_34 = e2 % 22.20/6.00 | % 22.20/6.00 | Combining equations (252,620) yields a new equation: % 22.20/6.00 | (535) e2 = e0 % 22.20/6.00 | % 22.20/6.00 | Simplifying 535 yields: % 22.20/6.00 | (536) e2 = e0 % 22.20/6.00 | % 22.20/6.00 | Equations (536) can reduce 87 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (247) ~ (all_0_34_34 = e2) % 22.20/6.00 | (394) all_0_35_35 = e2 % 22.20/6.00 | % 22.20/6.00 | Combining equations (394,398) yields a new equation: % 22.20/6.00 | (484) e2 = e1 % 22.20/6.00 | % 22.20/6.00 | Simplifying 484 yields: % 22.20/6.00 | (343) e2 = e1 % 22.20/6.00 | % 22.20/6.00 | Equations (343) can reduce 128 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (518) ~ (all_0_28_28 = e1) % 22.20/6.00 | (1003) all_0_32_32 = e1 | all_0_36_36 = e1 % 22.20/6.00 | % 22.20/6.00 +-Applying beta-rule and splitting (1003), into two cases. % 22.20/6.00 |-Branch one: % 22.20/6.00 | (438) all_0_32_32 = e1 % 22.20/6.00 | % 22.20/6.00 | Equations (438) can reduce 350 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (350) ~ (all_0_32_32 = e1) % 22.20/6.00 | (445) all_0_36_36 = e1 % 22.20/6.00 | % 22.20/6.00 | Equations (445) can reduce 352 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (359) ~ (all_0_33_33 = e3) % 22.20/6.00 | (2357) all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0 % 22.20/6.00 | % 22.20/6.00 +-Applying beta-rule and splitting (2357), into two cases. % 22.20/6.00 |-Branch one: % 22.20/6.00 | (810) all_0_33_33 = e2 % 22.20/6.00 | % 22.20/6.00 | Equations (810) can reduce 813 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (813) ~ (all_0_33_33 = e2) % 22.20/6.00 | (2556) all_0_33_33 = e1 | all_0_33_33 = e0 % 22.20/6.00 | % 22.20/6.00 +-Applying beta-rule and splitting (2556), into two cases. % 22.20/6.00 |-Branch one: % 22.20/6.00 | (383) all_0_33_33 = e1 % 22.20/6.00 | % 22.20/6.00 | Equations (383) can reduce 259 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (259) ~ (all_0_33_33 = e1) % 22.20/6.00 | (882) all_0_33_33 = e0 % 22.20/6.00 | % 22.20/6.00 | Equations (882) can reduce 885 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (532) ~ (all_0_25_25 = e2) % 22.20/6.00 | (2944) all_0_25_25 = e1 | all_0_25_25 = e0 % 22.20/6.00 | % 22.20/6.00 +-Applying beta-rule and splitting (2944), into two cases. % 22.20/6.00 |-Branch one: % 22.20/6.00 | (342) all_0_25_25 = e1 % 22.20/6.00 | % 22.20/6.00 | Equations (342) can reduce 345 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (345) ~ (all_0_25_25 = e1) % 22.20/6.00 | (758) all_0_25_25 = e0 % 22.20/6.00 | % 22.20/6.00 | Equations (758) can reduce 726 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (257) ~ (all_0_26_26 = e1) % 22.20/6.00 | (354) all_0_27_27 = e1 % 22.20/6.00 | % 22.20/6.00 | Combining equations (328,354) yields a new equation: % 22.20/6.00 | (492) e3 = e1 % 22.20/6.00 | % 22.20/6.00 | Simplifying 492 yields: % 22.20/6.00 | (387) e3 = e1 % 22.20/6.00 | % 22.20/6.00 | Equations (387) can reduce 74 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (286) ~ (all_0_29_29 = e0) % 22.20/6.00 | (790) all_0_33_33 = e0 | all_0_37_37 = e0 % 22.20/6.00 | % 22.20/6.00 +-Applying beta-rule and splitting (790), into two cases. % 22.20/6.00 |-Branch one: % 22.20/6.00 | (882) all_0_33_33 = e0 % 22.20/6.00 | % 22.20/6.00 | Equations (882) can reduce 885 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (885) ~ (all_0_33_33 = e0) % 22.20/6.00 | (886) all_0_37_37 = e0 % 22.20/6.00 | % 22.20/6.00 | Equations (886) can reduce 203 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (287) all_0_29_29 = e3 % 22.20/6.00 | (849) all_0_28_28 = e2 % 22.20/6.00 | % 22.20/6.00 | Equations (849) can reduce 852 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (817) ~ (all_0_31_31 = e2) % 22.20/6.00 | (996) all_0_31_31 = e1 | all_0_31_31 = e0 % 22.20/6.00 | % 22.20/6.00 +-Applying beta-rule and splitting (762), into two cases. % 22.20/6.00 |-Branch one: % 22.20/6.00 | (306) all_0_29_29 = e0 % 22.20/6.00 | % 22.20/6.00 +-Applying beta-rule and splitting (29), into two cases. % 22.20/6.00 |-Branch one: % 22.20/6.00 | (286) ~ (all_0_29_29 = e0) % 22.20/6.00 | % 22.20/6.00 | Equations (306) can reduce 286 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (306) all_0_29_29 = e0 % 22.20/6.00 | (309) all_0_31_31 = e2 % 22.20/6.00 | % 22.20/6.00 | Equations (309) can reduce 817 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (286) ~ (all_0_29_29 = e0) % 22.20/6.00 | (790) all_0_33_33 = e0 | all_0_37_37 = e0 % 22.20/6.00 | % 22.20/6.00 +-Applying beta-rule and splitting (790), into two cases. % 22.20/6.00 |-Branch one: % 22.20/6.00 | (882) all_0_33_33 = e0 % 22.20/6.00 | % 22.20/6.00 | Equations (882) can reduce 885 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (885) ~ (all_0_33_33 = e0) % 22.20/6.00 | (886) all_0_37_37 = e0 % 22.20/6.00 | % 22.20/6.00 | Equations (886) can reduce 203 to: % 22.20/6.00 | (188) $false % 22.20/6.00 | % 22.20/6.00 |-The branch is then unsatisfiable % 22.20/6.00 |-Branch two: % 22.20/6.00 | (332) all_0_24_24 = e2 % 22.20/6.00 | (363) all_0_25_25 = e3 % 22.20/6.00 | % 22.20/6.00 | Equations (332) can reduce 9 to: % 22.20/6.00 | (2982) ~ (all_0_28_28 = e2) % 22.20/6.00 | % 22.20/6.00 | Simplifying 2982 yields: % 22.20/6.00 | (852) ~ (all_0_28_28 = e2) % 22.20/6.00 | % 22.20/6.00 | Equations (332) can reduce 102 to: % 22.20/6.00 | (1047) ~ (all_0_32_32 = e2) % 22.20/6.00 | % 22.20/6.00 | Simplifying 1047 yields: % 22.20/6.00 | (428) ~ (all_0_32_32 = e2) % 22.20/6.00 | % 22.20/6.00 | Equations (332) can reduce 68 to: % 22.20/6.00 | (1049) ~ (all_0_36_36 = e2) % 22.20/6.00 | % 22.20/6.00 | Simplifying 1049 yields: % 22.20/6.00 | (828) ~ (all_0_36_36 = e2) % 22.20/6.00 | % 22.20/6.00 | Equations (332) can reduce 218 to: % 22.20/6.00 | (128) ~ (e2 = e1) % 22.20/6.00 | % 22.20/6.00 | Equations (363) can reduce 71 to: % 22.20/6.00 | (224) ~ (all_0_26_26 = e3) % 22.20/6.00 | % 22.20/6.00 | Simplifying 224 yields: % 22.20/6.00 | (225) ~ (all_0_26_26 = e3) % 22.20/6.00 | % 22.20/6.00 | Equations (363) can reduce 47 to: % 22.20/6.00 | (2991) ~ (all_0_29_29 = e3) % 22.20/6.00 | % 22.20/6.00 | Simplifying 2991 yields: % 22.20/6.00 | (246) ~ (all_0_29_29 = e3) % 22.20/6.00 | % 22.20/6.00 | Equations (363) can reduce 114 to: % 22.20/6.00 | (2343) ~ (all_0_33_33 = e3) % 22.20/6.00 | % 22.20/6.00 | Simplifying 2343 yields: % 22.20/6.00 | (359) ~ (all_0_33_33 = e3) % 22.20/6.00 | % 22.20/6.00 | From (332)(332) and (143) follows: % 22.20/6.00 | (2995) op(e2, e2) = all_0_7_7 % 22.20/6.01 | % 22.20/6.01 | From (332) and (103) follows: % 22.20/6.01 | (2996) op(e3, e3) = e2 % 22.20/6.01 | % 22.20/6.01 +-Applying beta-rule and splitting (66), into two cases. % 22.20/6.01 |-Branch one: % 22.20/6.01 | (1082) all_0_24_24 = e0 % 22.20/6.01 | % 22.20/6.01 | Combining equations (332,1082) yields a new equation: % 22.20/6.01 | (535) e2 = e0 % 22.20/6.01 | % 22.20/6.01 | Simplifying 535 yields: % 22.20/6.01 | (536) e2 = e0 % 22.20/6.01 | % 22.20/6.01 | Equations (536) can reduce 87 to: % 22.20/6.01 | (188) $false % 22.20/6.01 | % 22.20/6.01 |-The branch is then unsatisfiable % 22.20/6.01 |-Branch two: % 22.20/6.01 | (220) ~ (all_0_24_24 = e0) % 22.20/6.01 | (1087) all_0_25_25 = e0 | all_0_26_26 = e0 | all_0_27_27 = e0 % 22.20/6.01 | % 22.20/6.01 +-Applying beta-rule and splitting (1087), into two cases. % 22.20/6.01 |-Branch one: % 22.20/6.01 | (758) all_0_25_25 = e0 % 22.20/6.01 | % 22.20/6.01 | Combining equations (363,758) yields a new equation: % 22.20/6.01 | (425) e3 = e0 % 22.20/6.01 | % 22.20/6.01 | Simplifying 425 yields: % 22.20/6.01 | (370) e3 = e0 % 22.20/6.01 | % 22.20/6.01 | Equations (370) can reduce 79 to: % 22.20/6.01 | (188) $false % 22.20/6.01 | % 22.20/6.01 |-The branch is then unsatisfiable % 22.20/6.01 |-Branch two: % 22.20/6.01 | (726) ~ (all_0_25_25 = e0) % 22.20/6.01 | (1317) all_0_26_26 = e0 | all_0_27_27 = e0 % 22.20/6.01 | % 22.20/6.01 +-Applying beta-rule and splitting (1317), into two cases. % 22.20/6.01 |-Branch one: % 22.20/6.01 | (321) all_0_26_26 = e0 % 22.20/6.01 | % 22.20/6.01 | Equations (321) can reduce 18 to: % 22.20/6.01 | (322) ~ (all_0_27_27 = e0) % 22.20/6.01 | % 22.20/6.01 | Simplifying 322 yields: % 22.20/6.01 | (199) ~ (all_0_27_27 = e0) % 22.20/6.01 | % 22.20/6.01 | Equations (321) can reduce 151 to: % 22.20/6.01 | (312) ~ (all_0_30_30 = e0) % 22.20/6.01 | % 22.20/6.01 | Simplifying 312 yields: % 22.20/6.01 | (313) ~ (all_0_30_30 = e0) % 22.20/6.01 | % 22.20/6.01 | Equations (321) can reduce 131 to: % 22.20/6.01 | (1121) ~ (all_0_34_34 = e0) % 22.20/6.01 | % 22.20/6.01 | Simplifying 1121 yields: % 22.20/6.01 | (245) ~ (all_0_34_34 = e0) % 22.20/6.01 | % 22.20/6.01 | Equations (321) can reduce 44 to: % 22.20/6.01 | (1337) ~ (all_0_38_38 = e0) % 22.20/6.01 | % 22.20/6.01 | Simplifying 1337 yields: % 22.20/6.01 | (204) ~ (all_0_38_38 = e0) % 22.20/6.01 | % 22.20/6.01 | Equations (321) can reduce 225 to: % 22.20/6.01 | (205) ~ (e3 = e0) % 22.20/6.01 | % 22.20/6.01 | Simplifying 205 yields: % 22.20/6.01 | (79) ~ (e3 = e0) % 22.20/6.01 | % 22.20/6.01 +-Applying beta-rule and splitting (126), into two cases. % 22.20/6.01 |-Branch one: % 22.20/6.01 | (694) all_0_24_24 = e1 % 22.20/6.01 | % 22.20/6.01 | Combining equations (694,332) yields a new equation: % 22.20/6.01 | (343) e2 = e1 % 22.20/6.01 | % 22.20/6.01 | Equations (343) can reduce 128 to: % 22.20/6.01 | (188) $false % 22.20/6.01 | % 22.20/6.01 |-The branch is then unsatisfiable % 22.20/6.01 |-Branch two: % 22.20/6.01 | (218) ~ (all_0_24_24 = e1) % 22.20/6.01 | (946) all_0_25_25 = e1 | all_0_26_26 = e1 | all_0_27_27 = e1 % 22.20/6.01 | % 22.20/6.01 +-Applying beta-rule and splitting (946), into two cases. % 22.20/6.01 |-Branch one: % 22.20/6.01 | (342) all_0_25_25 = e1 % 22.20/6.01 | % 22.20/6.01 | Combining equations (363,342) yields a new equation: % 22.20/6.01 | (492) e3 = e1 % 22.20/6.01 | % 22.20/6.01 | Simplifying 492 yields: % 22.20/6.01 | (387) e3 = e1 % 22.20/6.01 | % 22.20/6.01 | Equations (387) can reduce 74 to: % 22.20/6.01 | (188) $false % 22.20/6.01 | % 22.20/6.01 |-The branch is then unsatisfiable % 22.20/6.01 |-Branch two: % 22.20/6.01 | (345) ~ (all_0_25_25 = e1) % 22.20/6.01 | (950) all_0_26_26 = e1 | all_0_27_27 = e1 % 22.20/6.01 | % 22.20/6.01 +-Applying beta-rule and splitting (950), into two cases. % 22.20/6.01 |-Branch one: % 22.20/6.01 | (587) all_0_26_26 = e1 % 22.20/6.01 | % 22.20/6.01 | Combining equations (587,321) yields a new equation: % 22.20/6.01 | (510) e1 = e0 % 22.20/6.01 | % 22.20/6.01 | Simplifying 510 yields: % 22.20/6.01 | (379) e1 = e0 % 22.20/6.01 | % 22.20/6.01 | Equations (379) can reduce 153 to: % 22.20/6.01 | (188) $false % 22.20/6.01 | % 22.20/6.01 |-The branch is then unsatisfiable % 22.20/6.01 |-Branch two: % 22.20/6.01 | (257) ~ (all_0_26_26 = e1) % 22.20/6.01 | (354) all_0_27_27 = e1 % 22.20/6.01 | % 22.20/6.01 | Equations (354) can reduce 119 to: % 22.20/6.01 | (722) ~ (all_0_31_31 = e1) % 22.20/6.01 | % 22.20/6.01 | Simplifying 722 yields: % 22.20/6.01 | (487) ~ (all_0_31_31 = e1) % 22.20/6.01 | % 22.20/6.01 | Equations (354) can reduce 199 to: % 22.20/6.01 | (153) ~ (e1 = e0) % 22.20/6.01 | % 22.20/6.01 | From (354) and (57) follows: % 22.20/6.01 | (3040) op(e3, e0) = e1 % 22.20/6.01 | % 22.20/6.01 | Instantiating formula (58) with e2, e2, all_0_7_7, all_0_29_29 and discharging atoms op(e2, e2) = all_0_7_7, op(e2, e2) = all_0_29_29, yields: % 22.20/6.01 | (3041) all_0_7_7 = all_0_29_29 % 22.20/6.01 | % 22.20/6.01 | From (3041) and (72) follows: % 22.20/6.01 | (3042) op(e3, all_0_29_29) = all_0_6_6 % 22.20/6.01 | % 22.20/6.01 +-Applying beta-rule and splitting (76), into two cases. % 22.20/6.01 |-Branch one: % 22.20/6.01 | (247) ~ (all_0_34_34 = e2) % 22.20/6.01 | % 22.20/6.01 +-Applying beta-rule and splitting (154), into two cases. % 22.20/6.01 |-Branch one: % 22.20/6.01 | (244) ~ (all_0_34_34 = e3) % 22.20/6.01 | % 22.20/6.01 +-Applying beta-rule and splitting (135), into two cases. % 22.20/6.01 |-Branch one: % 22.20/6.01 | (248) all_0_34_34 = e3 % 22.20/6.01 | % 22.20/6.01 | Equations (248) can reduce 244 to: % 22.20/6.01 | (188) $false % 22.20/6.01 | % 22.52/6.01 |-The branch is then unsatisfiable % 22.52/6.01 |-Branch two: % 22.52/6.01 | (244) ~ (all_0_34_34 = e3) % 22.52/6.01 | (251) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0 % 22.52/6.01 | % 22.52/6.01 +-Applying beta-rule and splitting (251), into two cases. % 22.52/6.01 |-Branch one: % 22.52/6.01 | (252) all_0_34_34 = e2 % 22.52/6.01 | % 22.52/6.01 | Equations (252) can reduce 247 to: % 22.52/6.01 | (188) $false % 22.52/6.01 | % 22.52/6.01 |-The branch is then unsatisfiable % 22.52/6.01 |-Branch two: % 22.52/6.01 | (247) ~ (all_0_34_34 = e2) % 22.52/6.01 | (255) all_0_34_34 = e1 | all_0_34_34 = e0 % 22.52/6.01 | % 22.52/6.01 +-Applying beta-rule and splitting (255), into two cases. % 22.52/6.01 |-Branch one: % 22.52/6.01 | (256) all_0_34_34 = e1 % 22.52/6.01 | % 22.52/6.01 | Equations (256) can reduce 139 to: % 22.52/6.01 | (258) ~ (all_0_30_30 = e1) % 22.52/6.01 | % 22.52/6.01 | Equations (256) can reduce 20 to: % 22.52/6.01 | (259) ~ (all_0_33_33 = e1) % 22.52/6.01 | % 22.52/6.01 | Equations (256) can reduce 244 to: % 22.52/6.01 | (691) ~ (e3 = e1) % 22.52/6.01 | % 22.52/6.01 | Simplifying 691 yields: % 22.52/6.01 | (74) ~ (e3 = e1) % 22.52/6.01 | % 22.52/6.01 | Equations (256) can reduce 245 to: % 22.52/6.01 | (153) ~ (e1 = e0) % 22.52/6.01 | % 22.52/6.01 +-Applying beta-rule and splitting (22), into two cases. % 22.52/6.01 |-Branch one: % 22.52/6.01 | (342) all_0_25_25 = e1 % 22.52/6.01 | % 22.52/6.01 | Combining equations (363,342) yields a new equation: % 22.52/6.01 | (492) e3 = e1 % 22.52/6.01 | % 22.52/6.01 | Simplifying 492 yields: % 22.52/6.01 | (387) e3 = e1 % 22.52/6.01 | % 22.52/6.01 | Equations (387) can reduce 74 to: % 22.52/6.01 | (188) $false % 22.52/6.01 | % 22.52/6.01 |-The branch is then unsatisfiable % 22.52/6.01 |-Branch two: % 22.52/6.01 | (345) ~ (all_0_25_25 = e1) % 22.52/6.01 | (346) all_0_29_29 = e1 | all_0_33_33 = e1 | all_0_37_37 = e1 % 22.52/6.01 | % 22.52/6.01 +-Applying beta-rule and splitting (16), into two cases. % 22.52/6.01 |-Branch one: % 22.52/6.01 | (348) all_0_28_28 = e1 % 22.52/6.01 | % 22.52/6.01 | Equations (348) can reduce 118 to: % 22.52/6.01 | (701) ~ (all_0_29_29 = e1) % 22.52/6.01 | % 22.52/6.01 | Simplifying 701 yields: % 22.52/6.01 | (183) ~ (all_0_29_29 = e1) % 22.52/6.01 | % 22.52/6.01 | Equations (348) can reduce 159 to: % 22.52/6.01 | (548) ~ (all_0_30_30 = e1) % 22.52/6.01 | % 22.52/6.01 | Simplifying 548 yields: % 22.52/6.01 | (258) ~ (all_0_30_30 = e1) % 22.52/6.01 | % 22.52/6.01 | Equations (348) can reduce 95 to: % 22.52/6.01 | (349) ~ (all_0_32_32 = e1) % 22.52/6.01 | % 22.52/6.01 | Simplifying 349 yields: % 22.52/6.01 | (350) ~ (all_0_32_32 = e1) % 22.52/6.01 | % 22.52/6.01 +-Applying beta-rule and splitting (27), into two cases. % 22.52/6.01 |-Branch one: % 22.52/6.01 | (763) all_0_28_28 = e0 % 22.52/6.01 | % 22.52/6.01 | Combining equations (348,763) yields a new equation: % 22.52/6.01 | (510) e1 = e0 % 22.52/6.01 | % 22.52/6.01 | Simplifying 510 yields: % 22.52/6.01 | (379) e1 = e0 % 22.52/6.01 | % 22.52/6.01 | Equations (379) can reduce 153 to: % 22.52/6.01 | (188) $false % 22.52/6.01 | % 22.52/6.01 |-The branch is then unsatisfiable % 22.52/6.01 |-Branch two: % 22.52/6.01 | (311) ~ (all_0_28_28 = e0) % 22.52/6.01 | (768) all_0_29_29 = e0 | all_0_30_30 = e0 | all_0_31_31 = e0 % 22.52/6.01 | % 22.52/6.01 +-Applying beta-rule and splitting (97), into two cases. % 22.52/6.01 |-Branch one: % 22.52/6.01 | (454) all_0_36_36 = e3 % 22.52/6.01 | % 22.52/6.01 | Equations (454) can reduce 11 to: % 22.52/6.01 | (231) ~ (all_0_32_32 = e3) % 22.52/6.01 | % 22.52/6.01 | Equations (454) can reduce 169 to: % 22.52/6.01 | (1388) ~ (all_0_37_37 = e3) % 22.52/6.01 | % 22.52/6.01 | Simplifying 1388 yields: % 22.52/6.01 | (481) ~ (all_0_37_37 = e3) % 22.52/6.01 | % 22.52/6.01 | Equations (454) can reduce 23 to: % 22.52/6.01 | (673) ~ (all_0_38_38 = e3) % 22.52/6.01 | % 22.52/6.01 | Simplifying 673 yields: % 22.52/6.01 | (499) ~ (all_0_38_38 = e3) % 22.52/6.01 | % 22.52/6.01 +-Applying beta-rule and splitting (54), into two cases. % 22.52/6.01 |-Branch one: % 22.52/6.01 | (408) all_0_32_32 = e3 % 22.52/6.01 | % 22.52/6.01 | Equations (408) can reduce 231 to: % 22.52/6.01 | (188) $false % 22.52/6.01 | % 22.52/6.01 |-The branch is then unsatisfiable % 22.52/6.01 |-Branch two: % 22.52/6.01 | (231) ~ (all_0_32_32 = e3) % 22.52/6.01 | (413) all_0_33_33 = e3 | all_0_34_34 = e3 | all_0_35_35 = e3 % 22.52/6.01 | % 22.52/6.01 +-Applying beta-rule and splitting (346), into two cases. % 22.52/6.01 |-Branch one: % 22.52/6.01 | (303) all_0_29_29 = e1 % 22.52/6.01 | % 22.52/6.01 | Equations (303) can reduce 183 to: % 22.52/6.01 | (188) $false % 22.52/6.01 | % 22.52/6.01 |-The branch is then unsatisfiable % 22.52/6.01 |-Branch two: % 22.52/6.01 | (183) ~ (all_0_29_29 = e1) % 22.52/6.01 | (382) all_0_33_33 = e1 | all_0_37_37 = e1 % 22.52/6.01 | % 22.52/6.01 +-Applying beta-rule and splitting (124), into two cases. % 22.52/6.01 |-Branch one: % 22.52/6.01 | (408) all_0_32_32 = e3 % 22.52/6.01 | % 22.52/6.01 | Equations (408) can reduce 231 to: % 22.52/6.01 | (188) $false % 22.52/6.01 | % 22.52/6.01 |-The branch is then unsatisfiable % 22.52/6.01 |-Branch two: % 22.52/6.01 | (231) ~ (all_0_32_32 = e3) % 22.52/6.01 | (433) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0 % 22.52/6.01 | % 22.52/6.01 +-Applying beta-rule and splitting (433), into two cases. % 22.52/6.01 |-Branch one: % 22.52/6.01 | (405) all_0_32_32 = e2 % 22.52/6.01 | % 22.52/6.01 | Equations (405) can reduce 428 to: % 22.52/6.01 | (188) $false % 22.52/6.01 | % 22.52/6.01 |-The branch is then unsatisfiable % 22.52/6.01 |-Branch two: % 22.52/6.01 | (428) ~ (all_0_32_32 = e2) % 22.52/6.01 | (437) all_0_32_32 = e1 | all_0_32_32 = e0 % 22.52/6.01 | % 22.52/6.01 +-Applying beta-rule and splitting (437), into two cases. % 22.52/6.01 |-Branch one: % 22.52/6.01 | (438) all_0_32_32 = e1 % 22.52/6.01 | % 22.52/6.01 | Equations (438) can reduce 350 to: % 22.52/6.01 | (188) $false % 22.52/6.01 | % 22.52/6.01 |-The branch is then unsatisfiable % 22.52/6.01 |-Branch two: % 22.52/6.01 | (350) ~ (all_0_32_32 = e1) % 22.52/6.01 | (391) all_0_32_32 = e0 % 22.52/6.01 | % 22.52/6.01 | Equations (391) can reduce 89 to: % 22.52/6.01 | (392) ~ (all_0_35_35 = e0) % 22.52/6.01 | % 22.52/6.01 | Simplifying 392 yields: % 22.52/6.01 | (201) ~ (all_0_35_35 = e0) % 22.52/6.01 | % 22.52/6.01 | Equations (391) can reduce 231 to: % 22.52/6.01 | (205) ~ (e3 = e0) % 22.52/6.01 | % 22.52/6.01 | Simplifying 205 yields: % 22.52/6.01 | (79) ~ (e3 = e0) % 22.52/6.01 | % 22.52/6.01 +-Applying beta-rule and splitting (382), into two cases. % 22.52/6.01 |-Branch one: % 22.52/6.01 | (383) all_0_33_33 = e1 % 22.52/6.01 | % 22.52/6.01 | Equations (383) can reduce 259 to: % 22.52/6.01 | (188) $false % 22.52/6.01 | % 22.52/6.01 |-The branch is then unsatisfiable % 22.52/6.01 |-Branch two: % 22.52/6.01 | (259) ~ (all_0_33_33 = e1) % 22.52/6.01 | (386) all_0_37_37 = e1 % 22.52/6.01 | % 22.52/6.01 | Equations (386) can reduce 35 to: % 22.52/6.01 | (183) ~ (all_0_29_29 = e1) % 22.52/6.01 | % 22.52/6.01 | Equations (386) can reduce 182 to: % 22.52/6.01 | (259) ~ (all_0_33_33 = e1) % 22.52/6.01 | % 22.52/6.01 | Equations (386) can reduce 481 to: % 22.52/6.01 | (691) ~ (e3 = e1) % 22.52/6.01 | % 22.52/6.01 | Simplifying 691 yields: % 22.52/6.01 | (74) ~ (e3 = e1) % 22.52/6.01 | % 22.52/6.01 +-Applying beta-rule and splitting (174), into two cases. % 22.52/6.01 |-Branch one: % 22.52/6.01 | (543) all_0_26_26 = e3 % 22.52/6.01 | % 22.52/6.01 | Combining equations (321,543) yields a new equation: % 22.52/6.01 | (370) e3 = e0 % 22.52/6.01 | % 22.52/6.01 | Equations (370) can reduce 79 to: % 22.52/6.01 | (188) $false % 22.52/6.01 | % 22.52/6.01 |-The branch is then unsatisfiable % 22.52/6.01 |-Branch two: % 22.52/6.01 | (225) ~ (all_0_26_26 = e3) % 22.52/6.01 | (683) all_0_30_30 = e3 | all_0_34_34 = e3 | all_0_38_38 = e3 % 22.52/6.01 | % 22.52/6.01 +-Applying beta-rule and splitting (683), into two cases. % 22.52/6.01 |-Branch one: % 22.52/6.01 | (561) all_0_30_30 = e3 % 22.52/6.01 | % 22.52/6.01 | Equations (561) can reduce 133 to: % 22.52/6.01 | (246) ~ (all_0_29_29 = e3) % 22.52/6.01 | % 22.52/6.01 | Equations (561) can reduce 168 to: % 22.52/6.01 | (711) ~ (all_0_31_31 = e3) % 22.52/6.01 | % 22.52/6.01 | Simplifying 711 yields: % 22.52/6.01 | (419) ~ (all_0_31_31 = e3) % 22.52/6.01 | % 22.52/6.01 | Equations (561) can reduce 258 to: % 22.52/6.01 | (74) ~ (e3 = e1) % 22.52/6.01 | % 22.52/6.01 | Equations (561) can reduce 313 to: % 22.52/6.01 | (79) ~ (e3 = e0) % 22.52/6.01 | % 22.52/6.01 +-Applying beta-rule and splitting (55), into two cases. % 22.52/6.01 |-Branch one: % 22.52/6.01 | (328) all_0_27_27 = e3 % 22.52/6.01 | % 22.52/6.01 | Combining equations (354,328) yields a new equation: % 22.52/6.01 | (387) e3 = e1 % 22.52/6.01 | % 22.52/6.01 | Equations (387) can reduce 74 to: % 22.52/6.01 | (188) $false % 22.52/6.01 | % 22.52/6.01 |-The branch is then unsatisfiable % 22.52/6.01 |-Branch two: % 22.52/6.01 | (227) ~ (all_0_27_27 = e3) % 22.52/6.01 | (331) all_0_31_31 = e3 | all_0_35_35 = e3 | all_0_39_39 = e3 % 22.52/6.01 | % 22.52/6.01 +-Applying beta-rule and splitting (33), into two cases. % 22.52/6.01 |-Branch one: % 22.52/6.01 | (374) all_0_33_33 = e3 % 22.52/6.01 | % 22.52/6.01 | Equations (374) can reduce 359 to: % 22.52/6.01 | (188) $false % 22.52/6.01 | % 22.52/6.01 |-The branch is then unsatisfiable % 22.52/6.01 |-Branch two: % 22.52/6.01 | (359) ~ (all_0_33_33 = e3) % 22.52/6.01 | (2357) all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0 % 22.52/6.01 | % 22.52/6.01 +-Applying beta-rule and splitting (331), into two cases. % 22.52/6.01 |-Branch one: % 22.52/6.01 | (416) all_0_31_31 = e3 % 22.52/6.01 | % 22.52/6.01 | Equations (416) can reduce 419 to: % 22.52/6.01 | (188) $false % 22.52/6.01 | % 22.52/6.01 |-The branch is then unsatisfiable % 22.52/6.01 |-Branch two: % 22.52/6.01 | (419) ~ (all_0_31_31 = e3) % 22.52/6.01 | (420) all_0_35_35 = e3 | all_0_39_39 = e3 % 22.52/6.01 | % 22.52/6.01 +-Applying beta-rule and splitting (2357), into two cases. % 22.52/6.01 |-Branch one: % 22.52/6.01 | (810) all_0_33_33 = e2 % 22.52/6.01 | % 22.52/6.01 | Equations (810) can reduce 108 to: % 22.52/6.01 | (301) ~ (all_0_29_29 = e2) % 22.52/6.01 | % 22.52/6.01 +-Applying beta-rule and splitting (78), into two cases. % 22.52/6.01 |-Branch one: % 22.52/6.01 | (287) all_0_29_29 = e3 % 22.52/6.01 | % 22.52/6.01 | Equations (287) can reduce 246 to: % 22.52/6.01 | (188) $false % 22.52/6.01 | % 22.52/6.01 |-The branch is then unsatisfiable % 22.52/6.01 |-Branch two: % 22.52/6.01 | (246) ~ (all_0_29_29 = e3) % 22.52/6.01 | (290) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0 % 22.52/6.01 | % 22.52/6.01 +-Applying beta-rule and splitting (290), into two cases. % 22.52/6.01 |-Branch one: % 22.52/6.01 | (291) all_0_29_29 = e2 % 22.52/6.01 | % 22.52/6.01 | Equations (291) can reduce 301 to: % 22.52/6.01 | (188) $false % 22.52/6.01 | % 22.52/6.01 |-The branch is then unsatisfiable % 22.52/6.01 |-Branch two: % 22.52/6.01 | (301) ~ (all_0_29_29 = e2) % 22.52/6.01 | (302) all_0_29_29 = e1 | all_0_29_29 = e0 % 22.52/6.01 | % 22.52/6.01 +-Applying beta-rule and splitting (302), into two cases. % 22.52/6.01 |-Branch one: % 22.52/6.01 | (303) all_0_29_29 = e1 % 22.52/6.01 | % 22.52/6.02 | Equations (303) can reduce 183 to: % 22.52/6.02 | (188) $false % 22.52/6.02 | % 22.52/6.02 |-The branch is then unsatisfiable % 22.52/6.02 |-Branch two: % 22.52/6.02 | (183) ~ (all_0_29_29 = e1) % 22.52/6.02 | (306) all_0_29_29 = e0 % 22.52/6.02 | % 22.52/6.02 | Combining equations (306,3041) yields a new equation: % 22.52/6.02 | (3154) all_0_7_7 = e0 % 22.52/6.02 | % 22.52/6.02 | From (306) and (3042) follows: % 22.52/6.02 | (3155) op(e3, e0) = all_0_6_6 % 22.52/6.02 | % 22.52/6.02 +-Applying beta-rule and splitting (161), into two cases. % 22.52/6.02 |-Branch one: % 22.52/6.02 | (3156) ~ (all_0_6_6 = e1) % 22.52/6.02 | % 22.52/6.02 | Instantiating formula (58) with e3, e0, all_0_6_6, e1 and discharging atoms op(e3, e0) = all_0_6_6, op(e3, e0) = e1, yields: % 22.52/6.02 | (3157) all_0_6_6 = e1 % 22.52/6.02 | % 22.52/6.02 | Equations (3157) can reduce 3156 to: % 22.52/6.02 | (188) $false % 22.52/6.02 | % 22.52/6.02 |-The branch is then unsatisfiable % 22.52/6.02 |-Branch two: % 22.52/6.02 | (3157) all_0_6_6 = e1 % 22.52/6.02 | (3160) ~ (all_0_7_7 = e0) | ~ (all_0_24_24 = e2) % 22.52/6.02 | % 22.52/6.02 +-Applying beta-rule and splitting (3160), into two cases. % 22.52/6.02 |-Branch one: % 22.52/6.02 | (3161) ~ (all_0_7_7 = e0) % 22.52/6.02 | % 22.52/6.02 | Equations (3154) can reduce 3161 to: % 22.52/6.02 | (188) $false % 22.52/6.02 | % 22.52/6.02 |-The branch is then unsatisfiable % 22.52/6.02 |-Branch two: % 22.52/6.02 | (3154) all_0_7_7 = e0 % 22.52/6.02 | (219) ~ (all_0_24_24 = e2) % 22.52/6.02 | % 22.52/6.02 | Equations (332) can reduce 219 to: % 22.52/6.02 | (188) $false % 22.52/6.02 | % 22.52/6.02 |-The branch is then unsatisfiable % 22.52/6.02 |-Branch two: % 22.52/6.02 | (813) ~ (all_0_33_33 = e2) % 22.52/6.02 | (2556) all_0_33_33 = e1 | all_0_33_33 = e0 % 22.52/6.02 | % 22.52/6.02 +-Applying beta-rule and splitting (420), into two cases. % 22.52/6.02 |-Branch one: % 22.52/6.02 | (358) all_0_35_35 = e3 % 22.52/6.02 | % 22.52/6.02 | Equations (358) can reduce 201 to: % 22.52/6.02 | (79) ~ (e3 = e0) % 22.52/6.02 | % 22.52/6.02 +-Applying beta-rule and splitting (768), into two cases. % 22.52/6.02 |-Branch one: % 22.52/6.02 | (306) all_0_29_29 = e0 % 22.52/6.02 | % 22.52/6.02 | Equations (306) can reduce 108 to: % 22.52/6.02 | (2274) ~ (all_0_33_33 = e0) % 22.52/6.02 | % 22.52/6.02 | Simplifying 2274 yields: % 22.52/6.02 | (885) ~ (all_0_33_33 = e0) % 22.52/6.02 | % 22.52/6.02 +-Applying beta-rule and splitting (2556), into two cases. % 22.52/6.02 |-Branch one: % 22.52/6.02 | (383) all_0_33_33 = e1 % 22.52/6.02 | % 22.52/6.02 | Equations (383) can reduce 259 to: % 22.52/6.02 | (188) $false % 22.52/6.02 | % 22.52/6.02 |-The branch is then unsatisfiable % 22.52/6.02 |-Branch two: % 22.52/6.02 | (259) ~ (all_0_33_33 = e1) % 22.52/6.02 | (882) all_0_33_33 = e0 % 22.52/6.02 | % 22.52/6.02 | Equations (882) can reduce 885 to: % 22.52/6.02 | (188) $false % 22.52/6.02 | % 22.52/6.02 |-The branch is then unsatisfiable % 22.52/6.02 |-Branch two: % 22.52/6.02 | (286) ~ (all_0_29_29 = e0) % 22.52/6.02 | (798) all_0_30_30 = e0 | all_0_31_31 = e0 % 22.52/6.02 | % 22.52/6.02 +-Applying beta-rule and splitting (798), into two cases. % 22.52/6.02 |-Branch one: % 22.52/6.02 | (557) all_0_30_30 = e0 % 22.52/6.02 | % 22.52/6.02 | Combining equations (561,557) yields a new equation: % 22.52/6.02 | (425) e3 = e0 % 22.52/6.02 | % 22.52/6.02 | Simplifying 425 yields: % 22.52/6.02 | (370) e3 = e0 % 22.52/6.02 | % 22.52/6.02 | Equations (370) can reduce 79 to: % 22.52/6.02 | (188) $false % 22.52/6.02 | % 22.52/6.02 |-The branch is then unsatisfiable % 22.52/6.02 |-Branch two: % 22.52/6.02 | (313) ~ (all_0_30_30 = e0) % 22.52/6.02 | (938) all_0_31_31 = e0 % 22.52/6.02 | % 22.52/6.02 | Equations (938) can reduce 200 to: % 22.52/6.02 | (188) $false % 22.52/6.02 | % 22.52/6.02 |-The branch is then unsatisfiable % 22.52/6.02 |-Branch two: % 22.52/6.02 | (389) ~ (all_0_35_35 = e3) % 22.52/6.02 | (187) all_0_39_39 = e3 % 22.52/6.02 | % 22.52/6.02 | Combining equations (187,198) yields a new equation: % 22.52/6.02 | (425) e3 = e0 % 22.52/6.02 | % 22.52/6.02 | Simplifying 425 yields: % 22.52/6.02 | (370) e3 = e0 % 22.52/6.02 | % 22.52/6.02 | Equations (370) can reduce 79 to: % 22.52/6.02 | (188) $false % 22.52/6.02 | % 22.52/6.02 |-The branch is then unsatisfiable % 22.52/6.02 |-Branch two: % 22.52/6.02 | (556) ~ (all_0_30_30 = e3) % 22.52/6.02 | (941) all_0_34_34 = e3 | all_0_38_38 = e3 % 22.52/6.02 | % 22.52/6.02 +-Applying beta-rule and splitting (941), into two cases. % 22.52/6.02 |-Branch one: % 22.52/6.02 | (248) all_0_34_34 = e3 % 22.52/6.02 | % 22.52/6.02 | Combining equations (256,248) yields a new equation: % 22.52/6.02 | (387) e3 = e1 % 22.52/6.02 | % 22.52/6.02 | Equations (387) can reduce 74 to: % 22.52/6.02 | (188) $false % 22.52/6.02 | % 22.52/6.02 |-The branch is then unsatisfiable % 22.52/6.02 |-Branch two: % 22.52/6.02 | (244) ~ (all_0_34_34 = e3) % 22.52/6.02 | (489) all_0_38_38 = e3 % 22.52/6.02 | % 22.52/6.02 | Equations (489) can reduce 499 to: % 22.52/6.02 | (188) $false % 22.52/6.02 | % 22.52/6.02 |-The branch is then unsatisfiable % 22.52/6.02 |-Branch two: % 22.52/6.02 | (233) ~ (all_0_36_36 = e3) % 22.52/6.02 | (457) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0 % 22.52/6.02 | % 22.52/6.02 +-Applying beta-rule and splitting (346), into two cases. % 22.52/6.02 |-Branch one: % 22.52/6.02 | (303) all_0_29_29 = e1 % 22.52/6.02 | % 22.52/6.02 | Equations (303) can reduce 183 to: % 22.52/6.02 | (188) $false % 22.52/6.02 | % 22.52/6.02 |-The branch is then unsatisfiable % 22.52/6.02 |-Branch two: % 22.52/6.02 | (183) ~ (all_0_29_29 = e1) % 22.52/6.02 | (382) all_0_33_33 = e1 | all_0_37_37 = e1 % 22.52/6.02 | % 22.52/6.02 +-Applying beta-rule and splitting (382), into two cases. % 22.52/6.02 |-Branch one: % 22.52/6.02 | (383) all_0_33_33 = e1 % 22.52/6.02 | % 22.52/6.02 | Equations (383) can reduce 259 to: % 22.52/6.02 | (188) $false % 22.52/6.02 | % 22.52/6.02 |-The branch is then unsatisfiable % 22.52/6.02 |-Branch two: % 22.52/6.02 | (259) ~ (all_0_33_33 = e1) % 22.52/6.02 | (386) all_0_37_37 = e1 % 22.52/6.02 | % 22.52/6.02 | Equations (386) can reduce 169 to: % 22.52/6.02 | (352) ~ (all_0_36_36 = e1) % 22.52/6.02 | % 22.52/6.02 +-Applying beta-rule and splitting (457), into two cases. % 22.52/6.02 |-Branch one: % 22.52/6.02 | (732) all_0_36_36 = e2 % 22.52/6.02 | % 22.52/6.02 | Equations (732) can reduce 828 to: % 22.52/6.02 | (188) $false % 22.52/6.02 | % 22.52/6.02 |-The branch is then unsatisfiable % 22.52/6.02 |-Branch two: % 22.52/6.02 | (828) ~ (all_0_36_36 = e2) % 22.52/6.02 | (1147) all_0_36_36 = e1 | all_0_36_36 = e0 % 22.52/6.02 | % 22.52/6.02 +-Applying beta-rule and splitting (1147), into two cases. % 22.52/6.02 |-Branch one: % 22.52/6.02 | (445) all_0_36_36 = e1 % 22.52/6.02 | % 22.52/6.02 | Equations (445) can reduce 352 to: % 22.52/6.02 | (188) $false % 22.52/6.02 | % 22.52/6.02 |-The branch is then unsatisfiable % 22.52/6.02 |-Branch two: % 22.52/6.02 | (352) ~ (all_0_36_36 = e1) % 22.52/6.02 | (1232) all_0_36_36 = e0 % 22.52/6.02 | % 22.52/6.02 | Equations (1232) can reduce 202 to: % 22.52/6.02 | (188) $false % 22.52/6.02 | % 22.52/6.02 |-The branch is then unsatisfiable % 22.52/6.02 |-Branch two: % 22.52/6.02 | (518) ~ (all_0_28_28 = e1) % 22.52/6.02 | (519) all_0_29_29 = e1 | all_0_30_30 = e1 | all_0_31_31 = e1 % 22.52/6.02 | % 22.52/6.02 +-Applying beta-rule and splitting (346), into two cases. % 22.52/6.02 |-Branch one: % 22.52/6.02 | (303) all_0_29_29 = e1 % 22.52/6.02 | % 22.52/6.02 | Equations (303) can reduce 183 to: % 22.52/6.02 | (188) $false % 22.52/6.02 | % 22.52/6.02 |-The branch is then unsatisfiable % 22.52/6.02 |-Branch two: % 22.52/6.02 | (183) ~ (all_0_29_29 = e1) % 22.52/6.02 | (382) all_0_33_33 = e1 | all_0_37_37 = e1 % 22.52/6.02 | % 22.52/6.02 +-Applying beta-rule and splitting (519), into two cases. % 22.52/6.02 |-Branch one: % 22.52/6.02 | (303) all_0_29_29 = e1 % 22.52/6.02 | % 22.52/6.02 | Equations (303) can reduce 183 to: % 22.52/6.02 | (188) $false % 22.52/6.02 | % 22.52/6.02 |-The branch is then unsatisfiable % 22.52/6.02 |-Branch two: % 22.52/6.02 | (183) ~ (all_0_29_29 = e1) % 22.52/6.02 | (524) all_0_30_30 = e1 | all_0_31_31 = e1 % 22.52/6.02 | % 22.52/6.02 +-Applying beta-rule and splitting (524), into two cases. % 22.52/6.02 |-Branch one: % 22.52/6.02 | (525) all_0_30_30 = e1 % 22.52/6.02 | % 22.52/6.02 | Equations (525) can reduce 258 to: % 22.52/6.02 | (188) $false % 22.52/6.02 | % 22.52/6.02 |-The branch is then unsatisfiable % 22.52/6.02 |-Branch two: % 22.52/6.02 | (258) ~ (all_0_30_30 = e1) % 22.52/6.02 | (483) all_0_31_31 = e1 % 22.52/6.02 | % 22.52/6.02 | Equations (483) can reduce 487 to: % 22.52/6.02 | (188) $false % 22.52/6.02 | % 22.52/6.02 |-The branch is then unsatisfiable % 22.52/6.02 |-Branch two: % 22.52/6.02 | (619) ~ (all_0_34_34 = e1) % 22.52/6.02 | (620) all_0_34_34 = e0 % 22.52/6.02 | % 22.52/6.02 | Equations (620) can reduce 245 to: % 22.52/6.02 | (188) $false % 22.52/6.02 | % 22.52/6.02 |-The branch is then unsatisfiable % 22.52/6.02 |-Branch two: % 22.52/6.02 | (248) all_0_34_34 = e3 % 22.52/6.02 | (438) all_0_32_32 = e1 % 22.52/6.02 | % 22.52/6.02 | Equations (438) can reduce 95 to: % 22.52/6.02 | (518) ~ (all_0_28_28 = e1) % 22.52/6.02 | % 22.52/6.02 | Equations (438) can reduce 2 to: % 22.52/6.02 | (2305) ~ (all_0_33_33 = e1) % 22.52/6.02 | % 22.52/6.02 | Simplifying 2305 yields: % 22.52/6.02 | (259) ~ (all_0_33_33 = e1) % 22.52/6.02 | % 22.52/6.02 | Equations (438) can reduce 89 to: % 22.52/6.02 | (260) ~ (all_0_35_35 = e1) % 22.52/6.02 | % 22.52/6.02 | Simplifying 260 yields: % 22.52/6.02 | (261) ~ (all_0_35_35 = e1) % 22.52/6.02 | % 22.52/6.02 | Equations (438) can reduce 11 to: % 22.52/6.02 | (351) ~ (all_0_36_36 = e1) % 22.52/6.02 | % 22.52/6.02 | Simplifying 351 yields: % 22.52/6.02 | (352) ~ (all_0_36_36 = e1) % 22.52/6.02 | % 22.52/6.02 | Equations (248) can reduce 20 to: % 22.52/6.02 | (359) ~ (all_0_33_33 = e3) % 22.52/6.02 | % 22.52/6.02 | Equations (248) can reduce 49 to: % 22.52/6.02 | (1903) ~ (all_0_35_35 = e3) % 22.52/6.02 | % 22.52/6.02 | Simplifying 1903 yields: % 22.52/6.02 | (389) ~ (all_0_35_35 = e3) % 22.52/6.02 | % 22.52/6.02 | From (248)(248) and (28) follows: % 22.52/6.02 | (2178) op(e3, e3) = all_0_3_3 % 22.52/6.02 | % 22.52/6.02 +-Applying beta-rule and splitting (179), into two cases. % 22.52/6.02 |-Branch one: % 22.52/6.02 | (358) all_0_35_35 = e3 % 22.52/6.02 | % 22.52/6.02 | Equations (358) can reduce 389 to: % 22.52/6.02 | (188) $false % 22.52/6.02 | % 22.52/6.02 |-The branch is then unsatisfiable % 22.52/6.02 |-Branch two: % 22.52/6.02 | (389) ~ (all_0_35_35 = e3) % 22.52/6.02 | (390) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0 % 22.52/6.02 | % 22.52/6.02 +-Applying beta-rule and splitting (390), into two cases. % 22.52/6.02 |-Branch one: % 22.52/6.02 | (394) all_0_35_35 = e2 % 22.52/6.02 | % 22.52/6.02 | Equations (394) can reduce 106 to: % 22.52/6.03 | (813) ~ (all_0_33_33 = e2) % 22.52/6.03 | % 22.52/6.03 +-Applying beta-rule and splitting (16), into two cases. % 22.52/6.03 |-Branch one: % 22.52/6.03 | (348) all_0_28_28 = e1 % 22.52/6.03 | % 22.52/6.03 | Equations (348) can reduce 518 to: % 22.52/6.03 | (188) $false % 22.52/6.03 | % 22.52/6.03 |-The branch is then unsatisfiable % 22.52/6.03 |-Branch two: % 22.52/6.03 | (518) ~ (all_0_28_28 = e1) % 22.52/6.03 | (519) all_0_29_29 = e1 | all_0_30_30 = e1 | all_0_31_31 = e1 % 22.52/6.03 | % 22.52/6.03 +-Applying beta-rule and splitting (27), into two cases. % 22.52/6.03 |-Branch one: % 22.52/6.03 | (763) all_0_28_28 = e0 % 22.52/6.03 | % 22.52/6.03 | Equations (763) can reduce 118 to: % 22.52/6.03 | (3262) ~ (all_0_29_29 = e0) % 22.52/6.03 | % 22.52/6.03 | Simplifying 3262 yields: % 22.52/6.03 | (286) ~ (all_0_29_29 = e0) % 22.52/6.03 | % 22.52/6.03 | Equations (763) can reduce 52 to: % 22.52/6.03 | (644) ~ (all_0_36_36 = e0) % 22.52/6.03 | % 22.52/6.03 | Simplifying 644 yields: % 22.52/6.03 | (202) ~ (all_0_36_36 = e0) % 22.52/6.03 | % 22.52/6.03 +-Applying beta-rule and splitting (107), into two cases. % 22.52/6.03 |-Branch one: % 22.52/6.03 | (454) all_0_36_36 = e3 % 22.52/6.03 | % 22.52/6.03 | Equations (454) can reduce 23 to: % 22.52/6.03 | (673) ~ (all_0_38_38 = e3) % 22.52/6.03 | % 22.52/6.03 | Simplifying 673 yields: % 22.52/6.03 | (499) ~ (all_0_38_38 = e3) % 22.52/6.03 | % 22.52/6.03 | Equations (454) can reduce 202 to: % 22.52/6.03 | (79) ~ (e3 = e0) % 22.52/6.03 | % 22.52/6.03 +-Applying beta-rule and splitting (94), into two cases. % 22.52/6.03 |-Branch one: % 22.52/6.03 | (758) all_0_25_25 = e0 % 22.52/6.03 | % 22.52/6.03 | Combining equations (363,758) yields a new equation: % 22.52/6.03 | (425) e3 = e0 % 22.52/6.03 | % 22.52/6.03 | Simplifying 425 yields: % 22.52/6.03 | (370) e3 = e0 % 22.52/6.03 | % 22.52/6.03 | Equations (370) can reduce 79 to: % 22.52/6.03 | (188) $false % 22.52/6.03 | % 22.52/6.03 |-The branch is then unsatisfiable % 22.52/6.03 |-Branch two: % 22.52/6.03 | (726) ~ (all_0_25_25 = e0) % 22.52/6.03 | (762) all_0_29_29 = e0 | all_0_33_33 = e0 | all_0_37_37 = e0 % 22.52/6.03 | % 22.52/6.03 +-Applying beta-rule and splitting (762), into two cases. % 22.52/6.03 |-Branch one: % 22.52/6.03 | (306) all_0_29_29 = e0 % 22.52/6.03 | % 22.52/6.03 | Equations (306) can reduce 286 to: % 22.52/6.03 | (188) $false % 22.52/6.03 | % 22.52/6.03 |-The branch is then unsatisfiable % 22.52/6.03 |-Branch two: % 22.52/6.03 | (286) ~ (all_0_29_29 = e0) % 22.52/6.03 | (790) all_0_33_33 = e0 | all_0_37_37 = e0 % 22.52/6.03 | % 22.52/6.03 +-Applying beta-rule and splitting (790), into two cases. % 22.52/6.03 |-Branch one: % 22.52/6.03 | (882) all_0_33_33 = e0 % 22.52/6.03 | % 22.52/6.03 | From (882) and (3) follows: % 22.52/6.03 | (3281) op(e1, e2) = e0 % 22.52/6.03 | % 22.52/6.03 +-Applying beta-rule and splitting (519), into two cases. % 22.52/6.03 |-Branch one: % 22.52/6.03 | (303) all_0_29_29 = e1 % 22.52/6.03 | % 22.52/6.03 | Equations (303) can reduce 183 to: % 22.52/6.03 | (188) $false % 22.52/6.03 | % 22.52/6.03 |-The branch is then unsatisfiable % 22.52/6.03 |-Branch two: % 22.52/6.03 | (183) ~ (all_0_29_29 = e1) % 22.52/6.03 | (524) all_0_30_30 = e1 | all_0_31_31 = e1 % 22.52/6.03 | % 22.52/6.03 +-Applying beta-rule and splitting (524), into two cases. % 22.52/6.03 |-Branch one: % 22.52/6.03 | (525) all_0_30_30 = e1 % 22.52/6.03 | % 22.52/6.03 | Equations (525) can reduce 15 to: % 22.52/6.03 | (262) ~ (all_0_38_38 = e1) % 22.52/6.03 | % 22.52/6.03 | Simplifying 262 yields: % 22.52/6.03 | (263) ~ (all_0_38_38 = e1) % 22.52/6.03 | % 22.52/6.03 +-Applying beta-rule and splitting (61), into two cases. % 22.52/6.03 |-Branch one: % 22.52/6.03 | (489) all_0_38_38 = e3 % 22.52/6.03 | % 22.52/6.03 | Equations (489) can reduce 499 to: % 22.52/6.03 | (188) $false % 22.52/6.03 | % 22.52/6.03 |-The branch is then unsatisfiable % 22.52/6.03 |-Branch two: % 22.52/6.03 | (499) ~ (all_0_38_38 = e3) % 22.52/6.03 | (575) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0 % 22.52/6.03 | % 22.52/6.03 +-Applying beta-rule and splitting (575), into two cases. % 22.52/6.03 |-Branch one: % 22.52/6.03 | (576) all_0_38_38 = e2 % 22.52/6.03 | % 22.52/6.03 | From (576) and (152) follows: % 22.52/6.03 | (3294) op(e1, e2) = all_0_22_22 % 22.52/6.03 | % 22.52/6.03 | Instantiating formula (58) with e3, e3, all_0_3_3, e2 and discharging atoms op(e3, e3) = all_0_3_3, op(e3, e3) = e2, yields: % 22.52/6.03 | (3295) all_0_3_3 = e2 % 22.52/6.03 | % 22.52/6.03 | Instantiating formula (58) with e1, e2, e0, all_0_22_22 and discharging atoms op(e1, e2) = all_0_22_22, op(e1, e2) = e0, yields: % 22.52/6.03 | (1199) all_0_22_22 = e0 % 22.52/6.03 | % 22.52/6.03 | From (3295) and (24) follows: % 22.52/6.03 | (3297) op(e1, e2) = all_0_2_2 % 22.52/6.03 | % 22.52/6.03 | From (1199) and (3294) follows: % 22.52/6.03 | (3281) op(e1, e2) = e0 % 22.52/6.03 | % 22.52/6.03 +-Applying beta-rule and splitting (36), into two cases. % 22.52/6.03 |-Branch one: % 22.52/6.03 | (1202) ~ (all_0_2_2 = e0) % 22.52/6.03 | % 22.52/6.03 | Instantiating formula (58) with e1, e2, all_0_2_2, e0 and discharging atoms op(e1, e2) = all_0_2_2, op(e1, e2) = e0, yields: % 22.52/6.03 | (1203) all_0_2_2 = e0 % 22.52/6.03 | % 22.52/6.03 | Equations (1203) can reduce 1202 to: % 22.52/6.03 | (188) $false % 22.52/6.03 | % 22.52/6.03 |-The branch is then unsatisfiable % 22.52/6.03 |-Branch two: % 22.52/6.03 | (1203) all_0_2_2 = e0 % 22.52/6.03 | (3303) ~ (all_0_3_3 = e2) | ~ (all_0_34_34 = e3) % 22.52/6.03 | % 22.52/6.03 +-Applying beta-rule and splitting (3303), into two cases. % 22.52/6.03 |-Branch one: % 22.52/6.03 | (3304) ~ (all_0_3_3 = e2) % 22.52/6.03 | % 22.52/6.03 | Equations (3295) can reduce 3304 to: % 22.52/6.03 | (188) $false % 22.52/6.03 | % 22.52/6.03 |-The branch is then unsatisfiable % 22.52/6.03 |-Branch two: % 22.52/6.03 | (3295) all_0_3_3 = e2 % 22.52/6.03 | (244) ~ (all_0_34_34 = e3) % 22.52/6.03 | % 22.52/6.03 | Equations (248) can reduce 244 to: % 22.52/6.03 | (188) $false % 22.52/6.03 | % 22.52/6.03 |-The branch is then unsatisfiable % 22.52/6.03 |-Branch two: % 22.52/6.03 | (554) ~ (all_0_38_38 = e2) % 22.52/6.03 | (579) all_0_38_38 = e1 | all_0_38_38 = e0 % 22.52/6.03 | % 22.52/6.03 +-Applying beta-rule and splitting (579), into two cases. % 22.52/6.03 |-Branch one: % 22.52/6.03 | (506) all_0_38_38 = e1 % 22.52/6.03 | % 22.52/6.03 | Equations (506) can reduce 263 to: % 22.52/6.03 | (188) $false % 22.52/6.03 | % 22.52/6.03 |-The branch is then unsatisfiable % 22.52/6.03 |-Branch two: % 22.52/6.03 | (263) ~ (all_0_38_38 = e1) % 22.52/6.03 | (583) all_0_38_38 = e0 % 22.52/6.03 | % 22.52/6.03 | Equations (583) can reduce 204 to: % 22.52/6.03 | (188) $false % 22.52/6.03 | % 22.52/6.03 |-The branch is then unsatisfiable % 22.52/6.03 |-Branch two: % 22.52/6.03 | (258) ~ (all_0_30_30 = e1) % 22.52/6.03 | (483) all_0_31_31 = e1 % 22.52/6.03 | % 22.52/6.03 | Equations (483) can reduce 487 to: % 22.52/6.03 | (188) $false % 22.52/6.03 | % 22.52/6.03 |-The branch is then unsatisfiable % 22.52/6.03 |-Branch two: % 22.52/6.03 | (885) ~ (all_0_33_33 = e0) % 22.52/6.03 | (886) all_0_37_37 = e0 % 22.52/6.03 | % 22.52/6.03 | Equations (886) can reduce 203 to: % 22.52/6.03 | (188) $false % 22.52/6.03 | % 22.52/6.03 |-The branch is then unsatisfiable % 22.52/6.03 |-Branch two: % 22.52/6.03 | (233) ~ (all_0_36_36 = e3) % 22.52/6.03 | (477) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3 % 22.52/6.03 | % 22.52/6.03 +-Applying beta-rule and splitting (97), into two cases. % 22.52/6.03 |-Branch one: % 22.52/6.03 | (454) all_0_36_36 = e3 % 22.52/6.03 | % 22.52/6.03 | Equations (454) can reduce 233 to: % 22.52/6.03 | (188) $false % 22.52/6.03 | % 22.52/6.03 |-The branch is then unsatisfiable % 22.52/6.03 |-Branch two: % 22.52/6.03 | (233) ~ (all_0_36_36 = e3) % 22.52/6.03 | (457) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0 % 22.52/6.03 | % 22.52/6.03 +-Applying beta-rule and splitting (457), into two cases. % 22.52/6.03 |-Branch one: % 22.52/6.03 | (732) all_0_36_36 = e2 % 22.52/6.03 | % 22.52/6.03 | Equations (732) can reduce 828 to: % 22.52/6.03 | (188) $false % 22.52/6.03 | % 22.52/6.03 |-The branch is then unsatisfiable % 22.52/6.03 |-Branch two: % 22.52/6.03 | (828) ~ (all_0_36_36 = e2) % 22.52/6.03 | (1147) all_0_36_36 = e1 | all_0_36_36 = e0 % 22.52/6.03 | % 22.52/6.03 +-Applying beta-rule and splitting (1147), into two cases. % 22.52/6.03 |-Branch one: % 22.52/6.03 | (445) all_0_36_36 = e1 % 22.52/6.03 | % 22.52/6.03 | Equations (445) can reduce 352 to: % 22.52/6.03 | (188) $false % 22.52/6.03 | % 22.52/6.03 |-The branch is then unsatisfiable % 22.52/6.03 |-Branch two: % 22.52/6.03 | (352) ~ (all_0_36_36 = e1) % 22.52/6.03 | (1232) all_0_36_36 = e0 % 22.52/6.03 | % 22.52/6.03 | Equations (1232) can reduce 202 to: % 22.52/6.03 | (188) $false % 22.52/6.03 | % 22.52/6.03 |-The branch is then unsatisfiable % 22.52/6.03 |-Branch two: % 22.52/6.03 | (311) ~ (all_0_28_28 = e0) % 22.52/6.03 | (768) all_0_29_29 = e0 | all_0_30_30 = e0 | all_0_31_31 = e0 % 22.52/6.03 | % 22.52/6.03 +-Applying beta-rule and splitting (33), into two cases. % 22.52/6.03 |-Branch one: % 22.52/6.03 | (374) all_0_33_33 = e3 % 22.52/6.03 | % 22.52/6.03 | Equations (374) can reduce 359 to: % 22.52/6.03 | (188) $false % 22.52/6.03 | % 22.52/6.03 |-The branch is then unsatisfiable % 22.52/6.03 |-Branch two: % 22.52/6.03 | (359) ~ (all_0_33_33 = e3) % 22.52/6.03 | (2357) all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0 % 22.52/6.03 | % 22.52/6.03 +-Applying beta-rule and splitting (2357), into two cases. % 22.52/6.03 |-Branch one: % 22.52/6.03 | (810) all_0_33_33 = e2 % 22.52/6.03 | % 22.52/6.03 | Equations (810) can reduce 813 to: % 22.52/6.03 | (188) $false % 22.52/6.03 | % 22.52/6.03 |-The branch is then unsatisfiable % 22.52/6.03 |-Branch two: % 22.52/6.03 | (813) ~ (all_0_33_33 = e2) % 22.52/6.03 | (2556) all_0_33_33 = e1 | all_0_33_33 = e0 % 22.52/6.03 | % 22.52/6.03 +-Applying beta-rule and splitting (2556), into two cases. % 22.52/6.03 |-Branch one: % 22.52/6.03 | (383) all_0_33_33 = e1 % 22.52/6.03 | % 22.52/6.03 | Equations (383) can reduce 259 to: % 22.52/6.03 | (188) $false % 22.52/6.03 | % 22.52/6.03 |-The branch is then unsatisfiable % 22.52/6.03 |-Branch two: % 22.52/6.03 | (259) ~ (all_0_33_33 = e1) % 22.52/6.03 | (882) all_0_33_33 = e0 % 22.52/6.03 | % 22.52/6.03 | Equations (882) can reduce 813 to: % 22.52/6.03 | (207) ~ (e2 = e0) % 22.52/6.03 | % 22.52/6.03 | Simplifying 207 yields: % 22.52/6.03 | (87) ~ (e2 = e0) % 22.52/6.03 | % 22.52/6.03 | Equations (882) can reduce 259 to: % 22.52/6.03 | (209) ~ (e1 = e0) % 22.52/6.03 | % 22.52/6.03 | Simplifying 209 yields: % 22.52/6.03 | (153) ~ (e1 = e0) % 22.52/6.03 | % 22.52/6.03 +-Applying beta-rule and splitting (115), into two cases. % 22.52/6.03 |-Branch one: % 22.52/6.03 | (1082) all_0_24_24 = e0 % 22.52/6.03 | % 22.52/6.03 | Combining equations (332,1082) yields a new equation: % 22.52/6.03 | (535) e2 = e0 % 22.52/6.03 | % 22.52/6.03 | Simplifying 535 yields: % 22.52/6.03 | (536) e2 = e0 % 22.52/6.03 | % 22.52/6.03 | Equations (536) can reduce 87 to: % 22.52/6.03 | (188) $false % 22.52/6.03 | % 22.52/6.03 |-The branch is then unsatisfiable % 22.52/6.03 |-Branch two: % 22.52/6.03 | (220) ~ (all_0_24_24 = e0) % 22.52/6.03 | (1111) all_0_28_28 = e0 | all_0_32_32 = e0 | all_0_36_36 = e0 % 22.52/6.03 | % 22.52/6.03 +-Applying beta-rule and splitting (1111), into two cases. % 22.52/6.03 |-Branch one: % 22.52/6.03 | (763) all_0_28_28 = e0 % 22.52/6.03 | % 22.52/6.03 | Equations (763) can reduce 311 to: % 22.52/6.03 | (188) $false % 22.52/6.03 | % 22.52/6.03 |-The branch is then unsatisfiable % 22.52/6.03 |-Branch two: % 22.52/6.03 | (311) ~ (all_0_28_28 = e0) % 22.52/6.03 | (1119) all_0_32_32 = e0 | all_0_36_36 = e0 % 22.52/6.03 | % 22.52/6.03 +-Applying beta-rule and splitting (1119), into two cases. % 22.52/6.03 |-Branch one: % 22.52/6.03 | (391) all_0_32_32 = e0 % 22.52/6.04 | % 22.52/6.04 | Combining equations (438,391) yields a new equation: % 22.52/6.04 | (510) e1 = e0 % 22.52/6.04 | % 22.52/6.04 | Simplifying 510 yields: % 22.52/6.04 | (379) e1 = e0 % 22.52/6.04 | % 22.52/6.04 | Equations (379) can reduce 153 to: % 22.52/6.04 | (188) $false % 22.52/6.04 | % 22.52/6.04 |-The branch is then unsatisfiable % 22.52/6.04 |-Branch two: % 22.52/6.04 | (403) ~ (all_0_32_32 = e0) % 22.52/6.04 | (1232) all_0_36_36 = e0 % 22.52/6.04 | % 22.52/6.04 | Equations (1232) can reduce 202 to: % 22.52/6.04 | (188) $false % 22.52/6.04 | % 22.52/6.04 |-The branch is then unsatisfiable % 22.52/6.04 |-Branch two: % 22.52/6.04 | (319) ~ (all_0_35_35 = e2) % 22.52/6.04 | (397) all_0_35_35 = e1 | all_0_35_35 = e0 % 22.52/6.04 | % 22.52/6.04 +-Applying beta-rule and splitting (397), into two cases. % 22.52/6.04 |-Branch one: % 22.52/6.04 | (398) all_0_35_35 = e1 % 22.52/6.04 | % 22.52/6.04 | Equations (398) can reduce 261 to: % 22.52/6.04 | (188) $false % 22.52/6.04 | % 22.52/6.04 |-The branch is then unsatisfiable % 22.52/6.04 |-Branch two: % 22.52/6.04 | (261) ~ (all_0_35_35 = e1) % 22.52/6.04 | (401) all_0_35_35 = e0 % 22.52/6.04 | % 22.52/6.04 | Equations (401) can reduce 201 to: % 22.52/6.04 | (188) $false % 22.52/6.04 | % 22.52/6.04 |-The branch is then unsatisfiable % 22.52/6.04 |-Branch two: % 22.52/6.04 | (252) all_0_34_34 = e2 % 22.52/6.04 | (383) all_0_33_33 = e1 % 22.52/6.04 | % 22.52/6.04 | Equations (383) can reduce 108 to: % 22.52/6.04 | (183) ~ (all_0_29_29 = e1) % 22.52/6.04 | % 22.52/6.04 | Equations (252) can reduce 139 to: % 22.52/6.04 | (552) ~ (all_0_30_30 = e2) % 22.52/6.04 | % 22.52/6.04 | Equations (252) can reduce 166 to: % 22.52/6.04 | (428) ~ (all_0_32_32 = e2) % 22.52/6.04 | % 22.52/6.04 | Equations (383,252) can reduce 20 to: % 22.52/6.04 | (264) ~ (e2 = e1) % 22.52/6.04 | % 22.52/6.04 | Simplifying 264 yields: % 22.52/6.04 | (128) ~ (e2 = e1) % 22.52/6.04 | % 22.52/6.04 | Equations (252) can reduce 49 to: % 22.52/6.04 | (318) ~ (all_0_35_35 = e2) % 22.52/6.04 | % 22.52/6.04 | Simplifying 318 yields: % 22.52/6.04 | (319) ~ (all_0_35_35 = e2) % 22.52/6.04 | % 22.52/6.04 | Equations (252) can reduce 105 to: % 22.52/6.04 | (553) ~ (all_0_38_38 = e2) % 22.52/6.04 | % 22.52/6.04 | Simplifying 553 yields: % 22.52/6.04 | (554) ~ (all_0_38_38 = e2) % 22.52/6.04 | % 22.52/6.04 | Equations (252) can reduce 245 to: % 22.52/6.04 | (87) ~ (e2 = e0) % 22.52/6.04 | % 22.52/6.04 +-Applying beta-rule and splitting (141), into two cases. % 22.52/6.04 |-Branch one: % 22.52/6.04 | (391) all_0_32_32 = e0 % 22.52/6.04 | % 22.52/6.04 | Equations (391) can reduce 95 to: % 22.52/6.04 | (311) ~ (all_0_28_28 = e0) % 22.52/6.04 | % 22.52/6.04 | Equations (391) can reduce 428 to: % 22.52/6.04 | (207) ~ (e2 = e0) % 22.52/6.04 | % 22.52/6.04 | Simplifying 207 yields: % 22.52/6.04 | (87) ~ (e2 = e0) % 22.52/6.04 | % 22.52/6.04 | From (391) and (75) follows: % 22.52/6.04 | (3395) op(e3, e0) = all_0_16_16 % 22.52/6.04 | % 22.52/6.04 +-Applying beta-rule and splitting (27), into two cases. % 22.52/6.04 |-Branch one: % 22.52/6.04 | (763) all_0_28_28 = e0 % 22.52/6.04 | % 22.52/6.04 | Equations (763) can reduce 311 to: % 22.52/6.04 | (188) $false % 22.52/6.04 | % 22.52/6.04 |-The branch is then unsatisfiable % 22.52/6.04 |-Branch two: % 22.52/6.04 | (311) ~ (all_0_28_28 = e0) % 22.52/6.04 | (768) all_0_29_29 = e0 | all_0_30_30 = e0 | all_0_31_31 = e0 % 22.52/6.04 | % 22.52/6.04 +-Applying beta-rule and splitting (13), into two cases. % 22.52/6.04 |-Branch one: % 22.52/6.04 | (539) all_0_27_27 = e2 % 22.52/6.04 | % 22.52/6.04 | Combining equations (354,539) yields a new equation: % 22.52/6.04 | (343) e2 = e1 % 22.52/6.04 | % 22.52/6.04 | Equations (343) can reduce 128 to: % 22.52/6.04 | (188) $false % 22.52/6.04 | % 22.52/6.04 |-The branch is then unsatisfiable % 22.52/6.04 |-Branch two: % 22.52/6.04 | (310) ~ (all_0_27_27 = e2) % 22.52/6.04 | (741) all_0_31_31 = e2 | all_0_35_35 = e2 | all_0_39_39 = e2 % 22.52/6.04 | % 22.52/6.04 +-Applying beta-rule and splitting (98), into two cases. % 22.52/6.04 |-Branch one: % 22.52/6.04 | (732) all_0_36_36 = e2 % 22.52/6.04 | % 22.52/6.04 | Equations (732) can reduce 828 to: % 22.52/6.04 | (188) $false % 22.52/6.04 | % 22.52/6.04 |-The branch is then unsatisfiable % 22.52/6.04 |-Branch two: % 22.52/6.04 | (828) ~ (all_0_36_36 = e2) % 22.52/6.04 | (829) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2 % 22.52/6.04 | % 22.52/6.04 +-Applying beta-rule and splitting (829), into two cases. % 22.52/6.04 |-Branch one: % 22.52/6.04 | (814) all_0_37_37 = e2 % 22.52/6.04 | % 22.52/6.04 | Equations (814) can reduce 35 to: % 22.52/6.04 | (301) ~ (all_0_29_29 = e2) % 22.52/6.04 | % 22.52/6.04 +-Applying beta-rule and splitting (741), into two cases. % 22.52/6.04 |-Branch one: % 22.52/6.04 | (309) all_0_31_31 = e2 % 22.52/6.04 | % 22.52/6.04 | Equations (309) can reduce 53 to: % 22.52/6.04 | (301) ~ (all_0_29_29 = e2) % 22.52/6.04 | % 22.52/6.04 +-Applying beta-rule and splitting (768), into two cases. % 22.52/6.04 |-Branch one: % 22.52/6.04 | (306) all_0_29_29 = e0 % 22.52/6.04 | % 22.52/6.04 | Combining equations (306,3041) yields a new equation: % 22.52/6.04 | (3154) all_0_7_7 = e0 % 22.52/6.04 | % 22.52/6.04 | From (306) and (3042) follows: % 22.52/6.04 | (3155) op(e3, e0) = all_0_6_6 % 22.52/6.04 | % 22.52/6.04 +-Applying beta-rule and splitting (161), into two cases. % 22.52/6.04 |-Branch one: % 22.52/6.04 | (3156) ~ (all_0_6_6 = e1) % 22.52/6.04 | % 22.52/6.04 | Instantiating formula (58) with e3, e0, all_0_6_6, e1 and discharging atoms op(e3, e0) = all_0_6_6, op(e3, e0) = e1, yields: % 22.52/6.04 | (3157) all_0_6_6 = e1 % 22.52/6.04 | % 22.52/6.04 | Instantiating formula (58) with e3, e0, all_0_16_16, all_0_6_6 and discharging atoms op(e3, e0) = all_0_6_6, op(e3, e0) = all_0_16_16, yields: % 22.52/6.04 | (3418) all_0_6_6 = all_0_16_16 % 22.52/6.04 | % 22.52/6.04 | Combining equations (3157,3418) yields a new equation: % 22.52/6.04 | (3419) all_0_16_16 = e1 % 22.52/6.04 | % 22.52/6.04 | Combining equations (3419,3418) yields a new equation: % 22.52/6.04 | (3157) all_0_6_6 = e1 % 22.52/6.04 | % 22.52/6.04 | Equations (3157) can reduce 3156 to: % 22.52/6.04 | (188) $false % 22.52/6.04 | % 22.52/6.04 |-The branch is then unsatisfiable % 22.52/6.04 |-Branch two: % 22.52/6.04 | (3157) all_0_6_6 = e1 % 22.52/6.04 | (3160) ~ (all_0_7_7 = e0) | ~ (all_0_24_24 = e2) % 22.52/6.04 | % 22.52/6.04 +-Applying beta-rule and splitting (3160), into two cases. % 22.52/6.04 |-Branch one: % 22.52/6.04 | (3161) ~ (all_0_7_7 = e0) % 22.52/6.04 | % 22.52/6.04 | Equations (3154) can reduce 3161 to: % 22.52/6.04 | (188) $false % 22.52/6.04 | % 22.52/6.04 |-The branch is then unsatisfiable % 22.52/6.04 |-Branch two: % 22.52/6.04 | (3154) all_0_7_7 = e0 % 22.52/6.04 | (219) ~ (all_0_24_24 = e2) % 22.52/6.04 | % 22.52/6.04 | Equations (332) can reduce 219 to: % 22.52/6.04 | (188) $false % 22.52/6.04 | % 22.52/6.04 |-The branch is then unsatisfiable % 22.52/6.04 |-Branch two: % 22.52/6.04 | (286) ~ (all_0_29_29 = e0) % 22.52/6.04 | (798) all_0_30_30 = e0 | all_0_31_31 = e0 % 22.52/6.04 | % 22.52/6.04 +-Applying beta-rule and splitting (78), into two cases. % 22.52/6.04 |-Branch one: % 22.52/6.04 | (287) all_0_29_29 = e3 % 22.52/6.04 | % 22.52/6.04 | Equations (287) can reduce 246 to: % 22.52/6.04 | (188) $false % 22.52/6.04 | % 22.52/6.04 |-The branch is then unsatisfiable % 22.52/6.04 |-Branch two: % 22.52/6.04 | (246) ~ (all_0_29_29 = e3) % 22.52/6.04 | (290) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0 % 22.52/6.04 | % 22.52/6.04 +-Applying beta-rule and splitting (290), into two cases. % 22.52/6.04 |-Branch one: % 22.52/6.04 | (291) all_0_29_29 = e2 % 22.52/6.04 | % 22.52/6.04 | Equations (291) can reduce 301 to: % 22.52/6.04 | (188) $false % 22.52/6.04 | % 22.52/6.04 |-The branch is then unsatisfiable % 22.52/6.04 |-Branch two: % 22.52/6.04 | (301) ~ (all_0_29_29 = e2) % 22.52/6.04 | (302) all_0_29_29 = e1 | all_0_29_29 = e0 % 22.52/6.04 | % 22.52/6.04 +-Applying beta-rule and splitting (302), into two cases. % 22.52/6.04 |-Branch one: % 22.52/6.04 | (303) all_0_29_29 = e1 % 22.52/6.04 | % 22.52/6.04 | Equations (303) can reduce 183 to: % 22.52/6.04 | (188) $false % 22.52/6.04 | % 22.52/6.04 |-The branch is then unsatisfiable % 22.52/6.04 |-Branch two: % 22.52/6.04 | (183) ~ (all_0_29_29 = e1) % 22.52/6.04 | (306) all_0_29_29 = e0 % 22.52/6.04 | % 22.52/6.04 | Equations (306) can reduce 286 to: % 22.52/6.04 | (188) $false % 22.52/6.04 | % 22.52/6.04 |-The branch is then unsatisfiable % 22.52/6.04 |-Branch two: % 22.52/6.04 | (817) ~ (all_0_31_31 = e2) % 22.52/6.04 | (818) all_0_35_35 = e2 | all_0_39_39 = e2 % 22.52/6.04 | % 22.52/6.04 +-Applying beta-rule and splitting (77), into two cases. % 22.52/6.04 |-Branch one: % 22.52/6.04 | (849) all_0_28_28 = e2 % 22.52/6.04 | % 22.52/6.04 | Equations (849) can reduce 852 to: % 22.52/6.04 | (188) $false % 22.52/6.04 | % 22.52/6.04 |-The branch is then unsatisfiable % 22.52/6.04 |-Branch two: % 22.52/6.04 | (852) ~ (all_0_28_28 = e2) % 22.52/6.04 | (1447) all_0_29_29 = e2 | all_0_30_30 = e2 | all_0_31_31 = e2 % 22.52/6.04 | % 22.52/6.04 +-Applying beta-rule and splitting (1447), into two cases. % 22.52/6.04 |-Branch one: % 22.52/6.04 | (291) all_0_29_29 = e2 % 22.52/6.04 | % 22.52/6.04 | Equations (291) can reduce 301 to: % 22.52/6.04 | (188) $false % 22.52/6.04 | % 22.52/6.04 |-The branch is then unsatisfiable % 22.52/6.04 |-Branch two: % 22.52/6.04 | (301) ~ (all_0_29_29 = e2) % 22.52/6.04 | (1473) all_0_30_30 = e2 | all_0_31_31 = e2 % 22.52/6.04 | % 22.52/6.04 +-Applying beta-rule and splitting (1473), into two cases. % 22.52/6.04 |-Branch one: % 22.52/6.05 | (565) all_0_30_30 = e2 % 22.52/6.05 | % 22.52/6.05 | Equations (565) can reduce 552 to: % 22.52/6.05 | (188) $false % 22.52/6.05 | % 22.52/6.05 |-The branch is then unsatisfiable % 22.52/6.05 |-Branch two: % 22.52/6.05 | (552) ~ (all_0_30_30 = e2) % 22.52/6.05 | (309) all_0_31_31 = e2 % 22.52/6.05 | % 22.52/6.05 | Equations (309) can reduce 817 to: % 22.52/6.05 | (188) $false % 22.52/6.05 | % 22.52/6.05 |-The branch is then unsatisfiable % 22.52/6.05 |-Branch two: % 22.52/6.05 | (339) ~ (all_0_37_37 = e2) % 22.52/6.05 | (2054) all_0_38_38 = e2 | all_0_39_39 = e2 % 22.52/6.05 | % 22.52/6.05 +-Applying beta-rule and splitting (2054), into two cases. % 22.52/6.05 |-Branch one: % 22.52/6.05 | (576) all_0_38_38 = e2 % 22.52/6.05 | % 22.52/6.05 | Equations (576) can reduce 554 to: % 22.52/6.05 | (188) $false % 22.52/6.05 | % 22.52/6.05 |-The branch is then unsatisfiable % 22.52/6.05 |-Branch two: % 22.52/6.05 | (554) ~ (all_0_38_38 = e2) % 22.52/6.05 | (191) all_0_39_39 = e2 % 22.52/6.05 | % 22.52/6.05 | Combining equations (198,191) yields a new equation: % 22.52/6.05 | (536) e2 = e0 % 22.52/6.05 | % 22.52/6.05 | Equations (536) can reduce 87 to: % 22.52/6.05 | (188) $false % 22.52/6.05 | % 22.52/6.05 |-The branch is then unsatisfiable % 22.52/6.05 |-Branch two: % 22.52/6.05 | (403) ~ (all_0_32_32 = e0) % 22.52/6.05 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 22.52/6.05 | % 22.52/6.05 +-Applying beta-rule and splitting (115), into two cases. % 22.52/6.05 |-Branch one: % 22.52/6.05 | (1082) all_0_24_24 = e0 % 22.52/6.05 | % 22.52/6.05 | Combining equations (332,1082) yields a new equation: % 22.52/6.05 | (535) e2 = e0 % 22.52/6.05 | % 22.52/6.05 | Simplifying 535 yields: % 22.52/6.05 | (536) e2 = e0 % 22.52/6.05 | % 22.52/6.05 | Equations (536) can reduce 87 to: % 22.52/6.05 | (188) $false % 22.52/6.05 | % 22.52/6.05 |-The branch is then unsatisfiable % 22.52/6.05 |-Branch two: % 22.52/6.05 | (220) ~ (all_0_24_24 = e0) % 22.52/6.05 | (1111) all_0_28_28 = e0 | all_0_32_32 = e0 | all_0_36_36 = e0 % 22.52/6.05 | % 22.52/6.05 +-Applying beta-rule and splitting (1111), into two cases. % 22.52/6.05 |-Branch one: % 22.52/6.05 | (763) all_0_28_28 = e0 % 22.52/6.05 | % 22.52/6.05 | Equations (763) can reduce 118 to: % 22.52/6.05 | (3262) ~ (all_0_29_29 = e0) % 22.52/6.05 | % 22.52/6.05 | Simplifying 3262 yields: % 22.52/6.05 | (286) ~ (all_0_29_29 = e0) % 22.52/6.05 | % 22.52/6.05 | Equations (763) can reduce 159 to: % 22.52/6.05 | (312) ~ (all_0_30_30 = e0) % 22.52/6.05 | % 22.52/6.05 | Simplifying 312 yields: % 22.52/6.05 | (313) ~ (all_0_30_30 = e0) % 22.52/6.05 | % 22.52/6.05 | Equations (763) can reduce 30 to: % 22.52/6.05 | (836) ~ (all_0_31_31 = e0) % 22.52/6.05 | % 22.52/6.05 | Simplifying 836 yields: % 22.52/6.05 | (200) ~ (all_0_31_31 = e0) % 22.52/6.05 | % 22.52/6.05 | Equations (763) can reduce 852 to: % 22.52/6.05 | (207) ~ (e2 = e0) % 22.52/6.05 | % 22.52/6.05 | Simplifying 207 yields: % 22.52/6.05 | (87) ~ (e2 = e0) % 22.52/6.05 | % 22.52/6.05 +-Applying beta-rule and splitting (16), into two cases. % 22.52/6.05 |-Branch one: % 22.52/6.05 | (348) all_0_28_28 = e1 % 22.52/6.05 | % 22.52/6.05 | Combining equations (763,348) yields a new equation: % 22.52/6.05 | (379) e1 = e0 % 22.52/6.05 | % 22.52/6.05 | Equations (379) can reduce 153 to: % 22.52/6.05 | (188) $false % 22.52/6.05 | % 22.52/6.05 |-The branch is then unsatisfiable % 22.52/6.05 |-Branch two: % 22.52/6.05 | (518) ~ (all_0_28_28 = e1) % 22.52/6.05 | (519) all_0_29_29 = e1 | all_0_30_30 = e1 | all_0_31_31 = e1 % 22.52/6.05 | % 22.52/6.05 +-Applying beta-rule and splitting (519), into two cases. % 22.52/6.05 |-Branch one: % 22.52/6.05 | (303) all_0_29_29 = e1 % 22.52/6.05 | % 22.52/6.05 | Equations (303) can reduce 183 to: % 22.52/6.05 | (188) $false % 22.52/6.05 | % 22.52/6.05 |-The branch is then unsatisfiable % 22.52/6.05 |-Branch two: % 22.52/6.05 | (183) ~ (all_0_29_29 = e1) % 22.52/6.05 | (524) all_0_30_30 = e1 | all_0_31_31 = e1 % 22.52/6.05 | % 22.52/6.05 +-Applying beta-rule and splitting (13), into two cases. % 22.52/6.05 |-Branch one: % 22.52/6.05 | (539) all_0_27_27 = e2 % 22.52/6.05 | % 22.52/6.05 | Combining equations (354,539) yields a new equation: % 22.52/6.05 | (343) e2 = e1 % 22.52/6.05 | % 22.52/6.05 | Equations (343) can reduce 128 to: % 22.52/6.05 | (188) $false % 22.52/6.05 | % 22.52/6.05 |-The branch is then unsatisfiable % 22.52/6.05 |-Branch two: % 22.52/6.05 | (310) ~ (all_0_27_27 = e2) % 22.52/6.05 | (741) all_0_31_31 = e2 | all_0_35_35 = e2 | all_0_39_39 = e2 % 22.52/6.05 | % 22.52/6.05 +-Applying beta-rule and splitting (741), into two cases. % 22.52/6.05 |-Branch one: % 22.52/6.05 | (309) all_0_31_31 = e2 % 22.52/6.05 | % 22.52/6.05 | Equations (309) can reduce 487 to: % 22.52/6.05 | (128) ~ (e2 = e1) % 22.52/6.05 | % 22.52/6.05 | Equations (309) can reduce 200 to: % 22.52/6.05 | (87) ~ (e2 = e0) % 22.52/6.05 | % 22.52/6.05 +-Applying beta-rule and splitting (104), into two cases. % 22.52/6.05 |-Branch one: % 22.52/6.05 | (654) all_0_28_28 = e3 % 22.52/6.05 | % 22.52/6.05 | Combining equations (763,654) yields a new equation: % 22.52/6.05 | (370) e3 = e0 % 22.52/6.05 | % 22.52/6.05 | Equations (370) can reduce 79 to: % 22.52/6.05 | (188) $false % 22.52/6.05 | % 22.52/6.05 |-The branch is then unsatisfiable % 22.52/6.05 |-Branch two: % 22.52/6.05 | (229) ~ (all_0_28_28 = e3) % 22.52/6.05 | (657) all_0_29_29 = e3 | all_0_30_30 = e3 | all_0_31_31 = e3 % 22.52/6.05 | % 22.52/6.05 | Equations (763) can reduce 229 to: % 22.52/6.05 | (205) ~ (e3 = e0) % 22.52/6.05 | % 22.52/6.05 | Simplifying 205 yields: % 22.52/6.05 | (79) ~ (e3 = e0) % 22.52/6.05 | % 22.52/6.05 +-Applying beta-rule and splitting (98), into two cases. % 22.52/6.05 |-Branch one: % 22.52/6.05 | (732) all_0_36_36 = e2 % 22.52/6.05 | % 22.52/6.05 | Equations (732) can reduce 828 to: % 22.52/6.05 | (188) $false % 22.52/6.05 | % 22.52/6.05 |-The branch is then unsatisfiable % 22.52/6.05 |-Branch two: % 22.52/6.05 | (828) ~ (all_0_36_36 = e2) % 22.52/6.05 | (829) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2 % 22.52/6.05 | % 22.52/6.05 +-Applying beta-rule and splitting (524), into two cases. % 22.52/6.05 |-Branch one: % 22.52/6.05 | (525) all_0_30_30 = e1 % 22.52/6.05 | % 22.52/6.05 | Equations (525) can reduce 313 to: % 22.52/6.05 | (153) ~ (e1 = e0) % 22.52/6.05 | % 22.52/6.05 +-Applying beta-rule and splitting (174), into two cases. % 22.52/6.05 |-Branch one: % 22.52/6.05 | (543) all_0_26_26 = e3 % 22.52/6.05 | % 22.52/6.05 | Combining equations (321,543) yields a new equation: % 22.52/6.05 | (370) e3 = e0 % 22.52/6.05 | % 22.52/6.05 | Equations (370) can reduce 79 to: % 22.52/6.05 | (188) $false % 22.52/6.05 | % 22.52/6.05 |-The branch is then unsatisfiable % 22.52/6.05 |-Branch two: % 22.52/6.05 | (225) ~ (all_0_26_26 = e3) % 22.52/6.05 | (683) all_0_30_30 = e3 | all_0_34_34 = e3 | all_0_38_38 = e3 % 22.52/6.05 | % 22.52/6.05 | Equations (321) can reduce 225 to: % 22.52/6.05 | (205) ~ (e3 = e0) % 22.52/6.05 | % 22.52/6.05 | Simplifying 205 yields: % 22.52/6.05 | (79) ~ (e3 = e0) % 22.52/6.05 | % 22.52/6.05 +-Applying beta-rule and splitting (404), into two cases. % 22.52/6.05 |-Branch one: % 22.52/6.05 | (882) all_0_33_33 = e0 % 22.52/6.05 | % 22.52/6.05 | Combining equations (383,882) yields a new equation: % 22.52/6.05 | (510) e1 = e0 % 22.52/6.05 | % 22.52/6.05 | Simplifying 510 yields: % 22.52/6.05 | (379) e1 = e0 % 22.52/6.05 | % 22.52/6.05 | Equations (379) can reduce 153 to: % 22.52/6.05 | (188) $false % 22.52/6.05 | % 22.52/6.05 |-The branch is then unsatisfiable % 22.52/6.05 |-Branch two: % 22.52/6.05 | (885) ~ (all_0_33_33 = e0) % 22.52/6.05 | (1032) all_0_34_34 = e0 | all_0_35_35 = e0 % 22.52/6.05 | % 22.52/6.05 | Equations (383) can reduce 885 to: % 22.52/6.05 | (153) ~ (e1 = e0) % 22.52/6.05 | % 22.52/6.05 +-Applying beta-rule and splitting (94), into two cases. % 22.52/6.05 |-Branch one: % 22.52/6.05 | (758) all_0_25_25 = e0 % 22.52/6.05 | % 22.52/6.05 | Combining equations (363,758) yields a new equation: % 22.52/6.05 | (425) e3 = e0 % 22.52/6.05 | % 22.52/6.05 | Simplifying 425 yields: % 22.52/6.05 | (370) e3 = e0 % 22.52/6.05 | % 22.52/6.05 | Equations (370) can reduce 79 to: % 22.52/6.05 | (188) $false % 22.52/6.05 | % 22.52/6.05 |-The branch is then unsatisfiable % 22.52/6.05 |-Branch two: % 22.52/6.05 | (726) ~ (all_0_25_25 = e0) % 22.52/6.05 | (762) all_0_29_29 = e0 | all_0_33_33 = e0 | all_0_37_37 = e0 % 22.52/6.05 | % 22.52/6.05 +-Applying beta-rule and splitting (829), into two cases. % 22.52/6.05 |-Branch one: % 22.52/6.05 | (814) all_0_37_37 = e2 % 22.52/6.05 | % 22.52/6.05 | Equations (814) can reduce 203 to: % 22.52/6.05 | (87) ~ (e2 = e0) % 22.52/6.05 | % 22.52/6.05 +-Applying beta-rule and splitting (762), into two cases. % 22.52/6.05 |-Branch one: % 22.52/6.05 | (306) all_0_29_29 = e0 % 22.52/6.05 | % 22.52/6.05 | Equations (306) can reduce 286 to: % 22.52/6.05 | (188) $false % 22.52/6.05 | % 22.52/6.05 |-The branch is then unsatisfiable % 22.52/6.05 |-Branch two: % 22.52/6.05 | (286) ~ (all_0_29_29 = e0) % 22.52/6.05 | (790) all_0_33_33 = e0 | all_0_37_37 = e0 % 22.52/6.05 | % 22.52/6.05 +-Applying beta-rule and splitting (790), into two cases. % 22.52/6.05 |-Branch one: % 22.52/6.05 | (882) all_0_33_33 = e0 % 22.52/6.05 | % 22.52/6.05 | Combining equations (383,882) yields a new equation: % 22.52/6.05 | (510) e1 = e0 % 22.52/6.05 | % 22.52/6.05 | Simplifying 510 yields: % 22.52/6.05 | (379) e1 = e0 % 22.52/6.05 | % 22.52/6.05 | Equations (379) can reduce 153 to: % 22.52/6.05 | (188) $false % 22.52/6.05 | % 22.52/6.05 |-The branch is then unsatisfiable % 22.52/6.05 |-Branch two: % 22.52/6.05 | (885) ~ (all_0_33_33 = e0) % 22.52/6.05 | (886) all_0_37_37 = e0 % 22.52/6.05 | % 22.52/6.05 | Combining equations (886,814) yields a new equation: % 22.52/6.05 | (536) e2 = e0 % 22.52/6.05 | % 22.52/6.05 | Equations (536) can reduce 87 to: % 22.52/6.05 | (188) $false % 22.52/6.05 | % 22.52/6.05 |-The branch is then unsatisfiable % 22.52/6.05 |-Branch two: % 22.52/6.05 | (339) ~ (all_0_37_37 = e2) % 22.52/6.05 | (2054) all_0_38_38 = e2 | all_0_39_39 = e2 % 22.52/6.05 | % 22.52/6.05 +-Applying beta-rule and splitting (2054), into two cases. % 22.52/6.05 |-Branch one: % 22.52/6.05 | (576) all_0_38_38 = e2 % 22.52/6.05 | % 22.52/6.05 | Equations (576) can reduce 554 to: % 22.52/6.05 | (188) $false % 22.52/6.05 | % 22.52/6.05 |-The branch is then unsatisfiable % 22.52/6.05 |-Branch two: % 22.52/6.05 | (554) ~ (all_0_38_38 = e2) % 22.52/6.05 | (191) all_0_39_39 = e2 % 22.52/6.05 | % 22.52/6.05 | Combining equations (191,198) yields a new equation: % 22.52/6.05 | (535) e2 = e0 % 22.52/6.05 | % 22.52/6.05 | Simplifying 535 yields: % 22.52/6.05 | (536) e2 = e0 % 22.52/6.05 | % 22.52/6.05 | Equations (536) can reduce 87 to: % 22.52/6.05 | (188) $false % 22.52/6.05 | % 22.52/6.05 |-The branch is then unsatisfiable % 22.52/6.05 |-Branch two: % 22.52/6.05 | (258) ~ (all_0_30_30 = e1) % 22.52/6.05 | (483) all_0_31_31 = e1 % 22.52/6.05 | % 22.52/6.05 | Combining equations (309,483) yields a new equation: % 22.52/6.05 | (484) e2 = e1 % 22.52/6.05 | % 22.52/6.05 | Simplifying 484 yields: % 22.52/6.05 | (343) e2 = e1 % 22.52/6.05 | % 22.52/6.05 | Equations (343) can reduce 128 to: % 22.52/6.05 | (188) $false % 22.52/6.05 | % 22.52/6.05 |-The branch is then unsatisfiable % 22.52/6.05 |-Branch two: % 22.52/6.05 | (817) ~ (all_0_31_31 = e2) % 22.52/6.05 | (818) all_0_35_35 = e2 | all_0_39_39 = e2 % 22.52/6.05 | % 22.52/6.05 +-Applying beta-rule and splitting (818), into two cases. % 22.52/6.05 |-Branch one: % 22.52/6.05 | (394) all_0_35_35 = e2 % 22.52/6.05 | % 22.52/6.05 | Equations (394) can reduce 319 to: % 22.52/6.05 | (188) $false % 22.52/6.05 | % 22.52/6.05 |-The branch is then unsatisfiable % 22.52/6.05 |-Branch two: % 22.52/6.05 | (319) ~ (all_0_35_35 = e2) % 22.52/6.05 | (191) all_0_39_39 = e2 % 22.52/6.05 | % 22.52/6.05 | Combining equations (198,191) yields a new equation: % 22.52/6.05 | (536) e2 = e0 % 22.52/6.05 | % 22.52/6.05 | Equations (536) can reduce 87 to: % 22.52/6.05 | (188) $false % 22.52/6.05 | % 22.52/6.05 |-The branch is then unsatisfiable % 22.52/6.05 |-Branch two: % 22.52/6.05 | (311) ~ (all_0_28_28 = e0) % 22.52/6.06 | (1119) all_0_32_32 = e0 | all_0_36_36 = e0 % 22.52/6.06 | % 22.52/6.06 +-Applying beta-rule and splitting (1119), into two cases. % 22.52/6.06 |-Branch one: % 22.52/6.06 | (391) all_0_32_32 = e0 % 22.52/6.06 | % 22.52/6.06 | Equations (391) can reduce 403 to: % 22.52/6.06 | (188) $false % 22.52/6.06 | % 22.52/6.06 |-The branch is then unsatisfiable % 22.52/6.06 |-Branch two: % 22.52/6.06 | (403) ~ (all_0_32_32 = e0) % 22.52/6.06 | (1232) all_0_36_36 = e0 % 22.52/6.06 | % 22.52/6.06 | Equations (1232) can reduce 202 to: % 22.52/6.06 | (188) $false % 22.52/6.06 | % 22.52/6.06 |-The branch is then unsatisfiable % 22.52/6.06 |-Branch two: % 22.52/6.06 | (541) ~ (all_0_26_26 = e0) % 22.52/6.06 | (930) all_0_27_27 = e0 % 22.52/6.06 | % 22.52/6.06 | Equations (930) can reduce 199 to: % 22.52/6.06 | (188) $false % 22.52/6.06 | % 22.52/6.06 |-The branch is then unsatisfiable % 22.52/6.06 |-Branch two: % 22.52/6.06 | (694) all_0_24_24 = e1 % 22.52/6.06 | (543) all_0_26_26 = e3 % 22.52/6.06 | % 22.52/6.06 | Equations (694) can reduce 149 to: % 22.52/6.06 | (3582) ~ (all_0_25_25 = e1) % 22.52/6.06 | % 22.52/6.06 | Simplifying 3582 yields: % 22.52/6.06 | (345) ~ (all_0_25_25 = e1) % 22.52/6.06 | % 22.52/6.06 | Equations (694) can reduce 160 to: % 22.52/6.06 | (3584) ~ (all_0_27_27 = e1) % 22.52/6.06 | % 22.52/6.06 | Simplifying 3584 yields: % 22.52/6.06 | (443) ~ (all_0_27_27 = e1) % 22.52/6.06 | % 22.52/6.06 | Equations (694) can reduce 9 to: % 22.52/6.06 | (3586) ~ (all_0_28_28 = e1) % 22.52/6.06 | % 22.52/6.06 | Simplifying 3586 yields: % 22.52/6.06 | (518) ~ (all_0_28_28 = e1) % 22.52/6.06 | % 22.52/6.06 | Equations (694) can reduce 102 to: % 22.52/6.06 | (349) ~ (all_0_32_32 = e1) % 22.52/6.06 | % 22.52/6.06 | Simplifying 349 yields: % 22.52/6.06 | (350) ~ (all_0_32_32 = e1) % 22.52/6.06 | % 22.52/6.06 | Equations (694) can reduce 68 to: % 22.52/6.06 | (351) ~ (all_0_36_36 = e1) % 22.52/6.06 | % 22.52/6.06 | Simplifying 351 yields: % 22.52/6.06 | (352) ~ (all_0_36_36 = e1) % 22.52/6.06 | % 22.52/6.06 | Equations (543) can reduce 71 to: % 22.52/6.06 | (223) ~ (all_0_25_25 = e3) % 22.52/6.06 | % 22.52/6.06 | Equations (543) can reduce 18 to: % 22.52/6.06 | (226) ~ (all_0_27_27 = e3) % 22.52/6.06 | % 22.52/6.06 | Simplifying 226 yields: % 22.52/6.06 | (227) ~ (all_0_27_27 = e3) % 22.52/6.06 | % 22.52/6.06 | Equations (543) can reduce 151 to: % 22.52/6.06 | (1053) ~ (all_0_30_30 = e3) % 22.52/6.06 | % 22.52/6.06 | Simplifying 1053 yields: % 22.52/6.06 | (556) ~ (all_0_30_30 = e3) % 22.52/6.06 | % 22.52/6.06 | Equations (543) can reduce 131 to: % 22.52/6.06 | (1986) ~ (all_0_34_34 = e3) % 22.52/6.06 | % 22.52/6.06 | Simplifying 1986 yields: % 22.52/6.06 | (244) ~ (all_0_34_34 = e3) % 22.52/6.06 | % 22.52/6.06 | Equations (543) can reduce 44 to: % 22.52/6.06 | (673) ~ (all_0_38_38 = e3) % 22.52/6.06 | % 22.52/6.06 | Simplifying 673 yields: % 22.52/6.06 | (499) ~ (all_0_38_38 = e3) % 22.52/6.06 | % 22.52/6.06 | From (694)(694) and (143) follows: % 22.52/6.06 | (3601) op(e1, e1) = all_0_7_7 % 22.52/6.06 | % 22.52/6.06 | From (694) and (103) follows: % 22.52/6.06 | (3602) op(e3, e3) = e1 % 22.52/6.06 | % 22.52/6.06 +-Applying beta-rule and splitting (96), into two cases. % 22.52/6.06 |-Branch one: % 22.52/6.06 | (328) all_0_27_27 = e3 % 22.52/6.06 | % 22.52/6.06 | Equations (328) can reduce 227 to: % 22.52/6.06 | (188) $false % 22.52/6.06 | % 22.52/6.06 |-The branch is then unsatisfiable % 22.52/6.06 |-Branch two: % 22.52/6.06 | (227) ~ (all_0_27_27 = e3) % 22.52/6.06 | (922) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0 % 22.52/6.06 | % 22.52/6.06 +-Applying beta-rule and splitting (66), into two cases. % 22.52/6.06 |-Branch one: % 22.52/6.06 | (1082) all_0_24_24 = e0 % 22.52/6.06 | % 22.52/6.06 | Combining equations (694,1082) yields a new equation: % 22.52/6.06 | (510) e1 = e0 % 22.52/6.06 | % 22.52/6.06 | Simplifying 510 yields: % 22.52/6.06 | (379) e1 = e0 % 22.52/6.06 | % 22.52/6.06 | Equations (379) can reduce 153 to: % 22.52/6.06 | (188) $false % 22.52/6.06 | % 22.52/6.06 |-The branch is then unsatisfiable % 22.52/6.06 |-Branch two: % 22.52/6.06 | (220) ~ (all_0_24_24 = e0) % 22.52/6.06 | (1087) all_0_25_25 = e0 | all_0_26_26 = e0 | all_0_27_27 = e0 % 22.52/6.06 | % 22.52/6.06 +-Applying beta-rule and splitting (1087), into two cases. % 22.52/6.06 |-Branch one: % 22.52/6.06 | (758) all_0_25_25 = e0 % 22.52/6.06 | % 22.52/6.06 | Equations (758) can reduce 130 to: % 22.52/6.06 | (322) ~ (all_0_27_27 = e0) % 22.52/6.06 | % 22.52/6.06 | Simplifying 322 yields: % 22.52/6.06 | (199) ~ (all_0_27_27 = e0) % 22.52/6.06 | % 22.52/6.06 | Equations (758) can reduce 47 to: % 22.52/6.06 | (3262) ~ (all_0_29_29 = e0) % 22.52/6.06 | % 22.52/6.06 | Simplifying 3262 yields: % 22.52/6.06 | (286) ~ (all_0_29_29 = e0) % 22.52/6.06 | % 22.52/6.06 | Equations (758) can reduce 114 to: % 22.52/6.06 | (2274) ~ (all_0_33_33 = e0) % 22.52/6.06 | % 22.52/6.06 | Simplifying 2274 yields: % 22.52/6.06 | (885) ~ (all_0_33_33 = e0) % 22.52/6.06 | % 22.52/6.06 | Equations (758) can reduce 31 to: % 22.52/6.06 | (314) ~ (all_0_37_37 = e0) % 22.52/6.06 | % 22.52/6.06 | Simplifying 314 yields: % 22.52/6.06 | (203) ~ (all_0_37_37 = e0) % 22.52/6.06 | % 22.52/6.06 | Equations (758) can reduce 223 to: % 22.52/6.06 | (205) ~ (e3 = e0) % 22.52/6.06 | % 22.52/6.06 | Simplifying 205 yields: % 22.52/6.06 | (79) ~ (e3 = e0) % 22.52/6.06 | % 22.52/6.06 | Equations (758) can reduce 345 to: % 22.52/6.06 | (209) ~ (e1 = e0) % 22.52/6.06 | % 22.52/6.06 | Simplifying 209 yields: % 22.52/6.06 | (153) ~ (e1 = e0) % 22.52/6.06 | % 22.52/6.06 | From (758) and (43) follows: % 22.52/6.06 | (3626) op(e3, e2) = e0 % 22.52/6.06 | % 22.52/6.06 +-Applying beta-rule and splitting (922), into two cases. % 22.52/6.06 |-Branch one: % 22.52/6.06 | (539) all_0_27_27 = e2 % 22.52/6.06 | % 22.52/6.06 | Equations (539) can reduce 7 to: % 22.52/6.06 | (318) ~ (all_0_35_35 = e2) % 22.52/6.06 | % 22.52/6.06 | Simplifying 318 yields: % 22.52/6.06 | (319) ~ (all_0_35_35 = e2) % 22.52/6.06 | % 22.52/6.06 | Equations (539) can reduce 199 to: % 22.52/6.06 | (87) ~ (e2 = e0) % 22.52/6.06 | % 22.52/6.06 | From (539) and (57) follows: % 22.52/6.06 | (3631) op(e3, e0) = e2 % 22.52/6.06 | % 22.52/6.06 | Instantiating formula (58) with e1, e1, all_0_7_7, all_0_34_34 and discharging atoms op(e1, e1) = all_0_7_7, op(e1, e1) = all_0_34_34, yields: % 22.52/6.06 | (3632) all_0_7_7 = all_0_34_34 % 22.52/6.06 | % 22.52/6.06 | From (3632) and (72) follows: % 22.52/6.06 | (3633) op(e3, all_0_34_34) = all_0_6_6 % 22.52/6.06 | % 22.52/6.06 +-Applying beta-rule and splitting (164), into two cases. % 22.52/6.06 |-Branch one: % 22.52/6.06 | (246) ~ (all_0_29_29 = e3) % 22.52/6.06 | % 22.52/6.06 +-Applying beta-rule and splitting (78), into two cases. % 22.52/6.06 |-Branch one: % 22.52/6.06 | (287) all_0_29_29 = e3 % 22.52/6.06 | % 22.52/6.06 | Equations (287) can reduce 246 to: % 22.52/6.06 | (188) $false % 22.52/6.06 | % 22.52/6.06 |-The branch is then unsatisfiable % 22.52/6.06 |-Branch two: % 22.52/6.06 | (246) ~ (all_0_29_29 = e3) % 22.52/6.06 | (290) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0 % 22.52/6.06 | % 22.52/6.06 +-Applying beta-rule and splitting (290), into two cases. % 22.52/6.06 |-Branch one: % 22.52/6.06 | (291) all_0_29_29 = e2 % 22.52/6.06 | % 22.52/6.06 | Equations (291) can reduce 118 to: % 22.52/6.06 | (852) ~ (all_0_28_28 = e2) % 22.52/6.06 | % 22.52/6.06 | Equations (291) can reduce 133 to: % 22.52/6.06 | (551) ~ (all_0_30_30 = e2) % 22.52/6.06 | % 22.52/6.06 | Simplifying 551 yields: % 22.52/6.06 | (552) ~ (all_0_30_30 = e2) % 22.52/6.06 | % 22.52/6.06 | Equations (291) can reduce 108 to: % 22.52/6.06 | (2551) ~ (all_0_33_33 = e2) % 22.52/6.06 | % 22.52/6.06 | Simplifying 2551 yields: % 22.52/6.06 | (813) ~ (all_0_33_33 = e2) % 22.52/6.06 | % 22.52/6.06 | Equations (291) can reduce 35 to: % 22.52/6.06 | (338) ~ (all_0_37_37 = e2) % 22.52/6.06 | % 22.52/6.06 | Simplifying 338 yields: % 22.52/6.06 | (339) ~ (all_0_37_37 = e2) % 22.52/6.06 | % 22.52/6.06 | Equations (291) can reduce 286 to: % 22.52/6.06 | (87) ~ (e2 = e0) % 22.52/6.06 | % 22.52/6.06 +-Applying beta-rule and splitting (76), into two cases. % 22.52/6.06 |-Branch one: % 22.52/6.06 | (247) ~ (all_0_34_34 = e2) % 22.52/6.06 | % 22.52/6.06 +-Applying beta-rule and splitting (14), into two cases. % 22.52/6.06 |-Branch one: % 22.52/6.06 | (405) all_0_32_32 = e2 % 22.52/6.06 | % 22.52/6.06 | Equations (405) can reduce 95 to: % 22.52/6.06 | (852) ~ (all_0_28_28 = e2) % 22.52/6.06 | % 22.52/6.06 | Equations (405) can reduce 2 to: % 22.52/6.06 | (2551) ~ (all_0_33_33 = e2) % 22.52/6.06 | % 22.52/6.06 | Simplifying 2551 yields: % 22.52/6.06 | (813) ~ (all_0_33_33 = e2) % 22.52/6.06 | % 22.52/6.06 | Equations (405) can reduce 166 to: % 22.52/6.06 | (3653) ~ (all_0_34_34 = e2) % 22.52/6.06 | % 22.52/6.06 | Simplifying 3653 yields: % 22.52/6.06 | (247) ~ (all_0_34_34 = e2) % 22.52/6.06 | % 22.52/6.06 | Equations (405) can reduce 11 to: % 22.52/6.06 | (1049) ~ (all_0_36_36 = e2) % 22.52/6.06 | % 22.52/6.06 | Simplifying 1049 yields: % 22.52/6.06 | (828) ~ (all_0_36_36 = e2) % 22.52/6.06 | % 22.52/6.06 | Equations (405) can reduce 350 to: % 22.52/6.06 | (128) ~ (e2 = e1) % 22.52/6.06 | % 22.52/6.06 +-Applying beta-rule and splitting (141), into two cases. % 22.52/6.06 |-Branch one: % 22.52/6.06 | (391) all_0_32_32 = e0 % 22.52/6.06 | % 22.52/6.06 | Combining equations (405,391) yields a new equation: % 22.52/6.06 | (535) e2 = e0 % 22.52/6.06 | % 22.52/6.06 | Simplifying 535 yields: % 22.52/6.06 | (536) e2 = e0 % 22.52/6.06 | % 22.52/6.06 | Equations (536) can reduce 87 to: % 22.52/6.07 | (188) $false % 22.52/6.07 | % 22.52/6.07 |-The branch is then unsatisfiable % 22.52/6.07 |-Branch two: % 22.52/6.07 | (403) ~ (all_0_32_32 = e0) % 22.52/6.07 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 22.52/6.07 | % 22.52/6.07 +-Applying beta-rule and splitting (115), into two cases. % 22.52/6.07 |-Branch one: % 22.52/6.07 | (1082) all_0_24_24 = e0 % 22.52/6.07 | % 22.52/6.07 | Combining equations (694,1082) yields a new equation: % 22.52/6.07 | (510) e1 = e0 % 22.52/6.07 | % 22.52/6.07 | Simplifying 510 yields: % 22.52/6.07 | (379) e1 = e0 % 22.52/6.07 | % 22.52/6.07 | Equations (379) can reduce 153 to: % 22.52/6.07 | (188) $false % 22.52/6.07 | % 22.52/6.07 |-The branch is then unsatisfiable % 22.52/6.07 |-Branch two: % 22.52/6.07 | (220) ~ (all_0_24_24 = e0) % 22.52/6.07 | (1111) all_0_28_28 = e0 | all_0_32_32 = e0 | all_0_36_36 = e0 % 22.52/6.07 | % 22.52/6.07 +-Applying beta-rule and splitting (404), into two cases. % 22.52/6.07 |-Branch one: % 22.52/6.07 | (882) all_0_33_33 = e0 % 22.52/6.07 | % 22.52/6.07 | Equations (882) can reduce 885 to: % 22.52/6.07 | (188) $false % 22.52/6.07 | % 22.52/6.07 |-The branch is then unsatisfiable % 22.52/6.07 |-Branch two: % 22.52/6.07 | (885) ~ (all_0_33_33 = e0) % 22.52/6.07 | (1032) all_0_34_34 = e0 | all_0_35_35 = e0 % 22.52/6.07 | % 22.52/6.07 +-Applying beta-rule and splitting (97), into two cases. % 22.52/6.07 |-Branch one: % 22.52/6.07 | (454) all_0_36_36 = e3 % 22.52/6.07 | % 22.52/6.07 | Equations (454) can reduce 52 to: % 22.52/6.07 | (229) ~ (all_0_28_28 = e3) % 22.52/6.07 | % 22.52/6.07 | Equations (454) can reduce 169 to: % 22.52/6.07 | (1388) ~ (all_0_37_37 = e3) % 22.52/6.07 | % 22.52/6.07 | Simplifying 1388 yields: % 22.52/6.07 | (481) ~ (all_0_37_37 = e3) % 22.52/6.07 | % 22.52/6.07 | Equations (454) can reduce 828 to: % 22.52/6.07 | (62) ~ (e3 = e2) % 22.52/6.07 | % 22.52/6.07 | Equations (454) can reduce 352 to: % 22.52/6.07 | (74) ~ (e3 = e1) % 22.52/6.07 | % 22.52/6.07 +-Applying beta-rule and splitting (1111), into two cases. % 22.52/6.07 |-Branch one: % 22.52/6.07 | (763) all_0_28_28 = e0 % 22.52/6.07 | % 22.52/6.07 | Equations (763) can reduce 229 to: % 22.52/6.07 | (205) ~ (e3 = e0) % 22.52/6.07 | % 22.52/6.07 | Simplifying 205 yields: % 22.52/6.07 | (79) ~ (e3 = e0) % 22.52/6.07 | % 22.52/6.07 | Equations (763) can reduce 852 to: % 22.52/6.07 | (207) ~ (e2 = e0) % 22.52/6.07 | % 22.52/6.07 | Simplifying 207 yields: % 22.52/6.07 | (87) ~ (e2 = e0) % 22.52/6.07 | % 22.52/6.07 | Equations (763) can reduce 518 to: % 22.52/6.07 | (209) ~ (e1 = e0) % 22.52/6.07 | % 22.52/6.07 | Simplifying 209 yields: % 22.52/6.07 | (153) ~ (e1 = e0) % 22.52/6.07 | % 22.52/6.07 | From (763) and (175) follows: % 22.52/6.07 | (3687) op(e3, e0) = all_0_12_12 % 22.52/6.07 | % 22.52/6.07 +-Applying beta-rule and splitting (104), into two cases. % 22.52/6.07 |-Branch one: % 22.52/6.07 | (654) all_0_28_28 = e3 % 22.52/6.07 | % 22.52/6.07 | Combining equations (763,654) yields a new equation: % 22.52/6.07 | (370) e3 = e0 % 22.52/6.07 | % 22.52/6.07 | Equations (370) can reduce 79 to: % 22.52/6.07 | (188) $false % 22.52/6.07 | % 22.52/6.07 |-The branch is then unsatisfiable % 22.52/6.07 |-Branch two: % 22.52/6.07 | (229) ~ (all_0_28_28 = e3) % 22.52/6.07 | (657) all_0_29_29 = e3 | all_0_30_30 = e3 | all_0_31_31 = e3 % 22.52/6.07 | % 22.52/6.07 | Equations (763) can reduce 229 to: % 22.52/6.07 | (205) ~ (e3 = e0) % 22.52/6.07 | % 22.52/6.07 | Simplifying 205 yields: % 22.52/6.07 | (79) ~ (e3 = e0) % 22.52/6.07 | % 22.52/6.07 +-Applying beta-rule and splitting (80), into two cases. % 22.52/6.07 |-Branch one: % 22.52/6.07 | (363) all_0_25_25 = e3 % 22.52/6.07 | % 22.52/6.07 | Combining equations (758,363) yields a new equation: % 22.52/6.07 | (370) e3 = e0 % 22.52/6.07 | % 22.52/6.07 | Equations (370) can reduce 79 to: % 22.52/6.07 | (188) $false % 22.52/6.07 | % 22.52/6.07 |-The branch is then unsatisfiable % 22.52/6.07 |-Branch two: % 22.52/6.07 | (223) ~ (all_0_25_25 = e3) % 22.52/6.07 | (368) all_0_29_29 = e3 | all_0_33_33 = e3 | all_0_37_37 = e3 % 22.52/6.07 | % 22.52/6.07 +-Applying beta-rule and splitting (368), into two cases. % 22.52/6.07 |-Branch one: % 22.52/6.07 | (287) all_0_29_29 = e3 % 22.52/6.07 | % 22.52/6.07 | Combining equations (291,287) yields a new equation: % 22.52/6.07 | (333) e3 = e2 % 22.52/6.07 | % 22.52/6.07 | Equations (333) can reduce 62 to: % 22.52/6.07 | (188) $false % 22.52/6.07 | % 22.52/6.07 |-The branch is then unsatisfiable % 22.52/6.07 |-Branch two: % 22.52/6.07 | (246) ~ (all_0_29_29 = e3) % 22.52/6.07 | (373) all_0_33_33 = e3 | all_0_37_37 = e3 % 22.52/6.07 | % 22.52/6.07 +-Applying beta-rule and splitting (373), into two cases. % 22.52/6.07 |-Branch one: % 22.52/6.07 | (374) all_0_33_33 = e3 % 22.52/6.07 | % 22.52/6.07 | Equations (374) can reduce 813 to: % 22.52/6.07 | (62) ~ (e3 = e2) % 22.52/6.07 | % 22.52/6.07 +-Applying beta-rule and splitting (98), into two cases. % 22.52/6.07 |-Branch one: % 22.52/6.07 | (732) all_0_36_36 = e2 % 22.52/6.07 | % 22.52/6.07 | Combining equations (454,732) yields a new equation: % 22.52/6.07 | (364) e3 = e2 % 22.52/6.07 | % 22.52/6.07 | Simplifying 364 yields: % 22.52/6.07 | (333) e3 = e2 % 22.52/6.07 | % 22.52/6.07 | Equations (333) can reduce 62 to: % 22.52/6.07 | (188) $false % 22.52/6.07 | % 22.52/6.07 |-The branch is then unsatisfiable % 22.52/6.07 |-Branch two: % 22.52/6.07 | (828) ~ (all_0_36_36 = e2) % 22.52/6.07 | (829) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2 % 22.52/6.07 | % 22.52/6.07 | Equations (454) can reduce 828 to: % 22.52/6.07 | (62) ~ (e3 = e2) % 22.52/6.07 | % 22.52/6.07 +-Applying beta-rule and splitting (657), into two cases. % 22.52/6.07 |-Branch one: % 22.52/6.07 | (287) all_0_29_29 = e3 % 22.52/6.07 | % 22.52/6.07 | Combining equations (291,287) yields a new equation: % 22.52/6.07 | (333) e3 = e2 % 22.52/6.07 | % 22.52/6.07 | Equations (333) can reduce 62 to: % 22.52/6.07 | (188) $false % 22.52/6.07 | % 22.52/6.07 |-The branch is then unsatisfiable % 22.52/6.07 |-Branch two: % 22.52/6.07 | (246) ~ (all_0_29_29 = e3) % 22.52/6.07 | (661) all_0_30_30 = e3 | all_0_31_31 = e3 % 22.52/6.07 | % 22.52/6.07 +-Applying beta-rule and splitting (661), into two cases. % 22.52/6.07 |-Branch one: % 22.52/6.07 | (561) all_0_30_30 = e3 % 22.52/6.07 | % 22.52/6.07 | Equations (561) can reduce 556 to: % 22.52/6.07 | (188) $false % 22.52/6.07 | % 22.52/6.07 |-The branch is then unsatisfiable % 22.52/6.07 |-Branch two: % 22.52/6.07 | (556) ~ (all_0_30_30 = e3) % 22.52/6.07 | (416) all_0_31_31 = e3 % 22.52/6.07 | % 22.52/6.07 | Equations (416) can reduce 168 to: % 22.52/6.07 | (556) ~ (all_0_30_30 = e3) % 22.52/6.07 | % 22.52/6.07 | Equations (416) can reduce 147 to: % 22.52/6.07 | (1903) ~ (all_0_35_35 = e3) % 22.52/6.07 | % 22.52/6.07 | Simplifying 1903 yields: % 22.52/6.07 | (389) ~ (all_0_35_35 = e3) % 22.52/6.07 | % 22.52/6.07 +-Applying beta-rule and splitting (16), into two cases. % 22.52/6.07 |-Branch one: % 22.52/6.07 | (348) all_0_28_28 = e1 % 22.52/6.07 | % 22.52/6.07 | Combining equations (763,348) yields a new equation: % 22.52/6.07 | (379) e1 = e0 % 22.52/6.07 | % 22.52/6.07 | Equations (379) can reduce 153 to: % 22.52/6.07 | (188) $false % 22.52/6.07 | % 22.52/6.07 |-The branch is then unsatisfiable % 22.52/6.07 |-Branch two: % 22.52/6.07 | (518) ~ (all_0_28_28 = e1) % 22.52/6.07 | (519) all_0_29_29 = e1 | all_0_30_30 = e1 | all_0_31_31 = e1 % 22.52/6.07 | % 22.52/6.07 +-Applying beta-rule and splitting (519), into two cases. % 22.52/6.07 |-Branch one: % 22.52/6.07 | (303) all_0_29_29 = e1 % 22.52/6.07 | % 22.52/6.07 | Combining equations (291,303) yields a new equation: % 22.52/6.07 | (484) e2 = e1 % 22.52/6.07 | % 22.52/6.07 | Simplifying 484 yields: % 22.52/6.07 | (343) e2 = e1 % 22.52/6.07 | % 22.52/6.07 | Equations (343) can reduce 128 to: % 22.52/6.07 | (188) $false % 22.52/6.07 | % 22.52/6.07 |-The branch is then unsatisfiable % 22.52/6.07 |-Branch two: % 22.52/6.07 | (183) ~ (all_0_29_29 = e1) % 22.52/6.07 | (524) all_0_30_30 = e1 | all_0_31_31 = e1 % 22.52/6.07 | % 22.52/6.07 +-Applying beta-rule and splitting (524), into two cases. % 22.52/6.07 |-Branch one: % 22.52/6.07 | (525) all_0_30_30 = e1 % 22.52/6.07 | % 22.52/6.07 | Equations (525) can reduce 139 to: % 22.52/6.07 | (1194) ~ (all_0_34_34 = e1) % 22.52/6.07 | % 22.52/6.07 | Simplifying 1194 yields: % 22.52/6.07 | (619) ~ (all_0_34_34 = e1) % 22.52/6.07 | % 22.52/6.07 | Equations (525) can reduce 15 to: % 22.52/6.07 | (262) ~ (all_0_38_38 = e1) % 22.52/6.07 | % 22.52/6.07 | Simplifying 262 yields: % 22.52/6.07 | (263) ~ (all_0_38_38 = e1) % 22.52/6.07 | % 22.52/6.07 | Equations (525) can reduce 556 to: % 22.52/6.07 | (691) ~ (e3 = e1) % 22.52/6.07 | % 22.52/6.07 | Simplifying 691 yields: % 22.52/6.07 | (74) ~ (e3 = e1) % 22.52/6.07 | % 22.52/6.07 | Equations (525) can reduce 552 to: % 22.52/6.07 | (264) ~ (e2 = e1) % 22.52/6.07 | % 22.52/6.07 | Simplifying 264 yields: % 22.52/6.07 | (128) ~ (e2 = e1) % 22.52/6.07 | % 22.52/6.07 +-Applying beta-rule and splitting (117), into two cases. % 22.52/6.07 |-Branch one: % 22.52/6.07 | (438) all_0_32_32 = e1 % 22.52/6.07 | % 22.52/6.07 | Combining equations (438,405) yields a new equation: % 22.52/6.07 | (343) e2 = e1 % 22.52/6.07 | % 22.52/6.07 | Equations (343) can reduce 128 to: % 22.52/6.07 | (188) $false % 22.52/6.07 | % 22.52/6.07 |-The branch is then unsatisfiable % 22.52/6.07 |-Branch two: % 22.52/6.07 | (350) ~ (all_0_32_32 = e1) % 22.52/6.07 | (3750) all_0_33_33 = e1 | all_0_34_34 = e1 | all_0_35_35 = e1 % 22.52/6.07 | % 22.52/6.07 +-Applying beta-rule and splitting (3750), into two cases. % 22.52/6.07 |-Branch one: % 22.52/6.07 | (383) all_0_33_33 = e1 % 22.52/6.07 | % 22.52/6.07 | Combining equations (383,374) yields a new equation: % 22.52/6.07 | (387) e3 = e1 % 22.52/6.07 | % 22.52/6.07 | Equations (387) can reduce 74 to: % 22.52/6.07 | (188) $false % 22.52/6.07 | % 22.52/6.07 |-The branch is then unsatisfiable % 22.52/6.07 |-Branch two: % 22.52/6.07 | (259) ~ (all_0_33_33 = e1) % 22.52/6.07 | (3755) all_0_34_34 = e1 | all_0_35_35 = e1 % 22.52/6.07 | % 22.52/6.07 +-Applying beta-rule and splitting (3755), into two cases. % 22.52/6.07 |-Branch one: % 22.52/6.07 | (256) all_0_34_34 = e1 % 22.52/6.07 | % 22.52/6.07 | Equations (256) can reduce 619 to: % 22.52/6.07 | (188) $false % 22.52/6.07 | % 22.52/6.07 |-The branch is then unsatisfiable % 22.52/6.07 |-Branch two: % 22.52/6.07 | (619) ~ (all_0_34_34 = e1) % 22.52/6.07 | (398) all_0_35_35 = e1 % 22.52/6.07 | % 22.52/6.07 | Equations (398) can reduce 389 to: % 22.52/6.07 | (691) ~ (e3 = e1) % 22.52/6.07 | % 22.52/6.07 | Simplifying 691 yields: % 22.52/6.07 | (74) ~ (e3 = e1) % 22.52/6.07 | % 22.52/6.07 | Equations (398) can reduce 201 to: % 22.52/6.07 | (153) ~ (e1 = e0) % 22.52/6.07 | % 22.52/6.07 +-Applying beta-rule and splitting (829), into two cases. % 22.52/6.07 |-Branch one: % 22.52/6.07 | (814) all_0_37_37 = e2 % 22.52/6.07 | % 22.52/6.07 | Equations (814) can reduce 339 to: % 22.52/6.07 | (188) $false % 22.52/6.07 | % 22.52/6.07 |-The branch is then unsatisfiable % 22.52/6.07 |-Branch two: % 22.52/6.07 | (339) ~ (all_0_37_37 = e2) % 22.52/6.07 | (2054) all_0_38_38 = e2 | all_0_39_39 = e2 % 22.52/6.07 | % 22.52/6.07 +-Applying beta-rule and splitting (2054), into two cases. % 22.52/6.07 |-Branch one: % 22.52/6.07 | (576) all_0_38_38 = e2 % 22.52/6.07 | % 22.52/6.07 | Equations (576) can reduce 263 to: % 22.52/6.07 | (128) ~ (e2 = e1) % 22.52/6.07 | % 22.52/6.07 +-Applying beta-rule and splitting (156), into two cases. % 22.52/6.07 |-Branch one: % 22.52/6.07 | (445) all_0_36_36 = e1 % 22.52/6.07 | % 22.52/6.07 | Combining equations (454,445) yields a new equation: % 22.52/6.07 | (492) e3 = e1 % 22.52/6.07 | % 22.52/6.07 | Simplifying 492 yields: % 22.52/6.07 | (387) e3 = e1 % 22.52/6.07 | % 22.52/6.07 | Equations (387) can reduce 74 to: % 22.52/6.07 | (188) $false % 22.52/6.07 | % 22.52/6.07 |-The branch is then unsatisfiable % 22.52/6.07 |-Branch two: % 22.52/6.07 | (352) ~ (all_0_36_36 = e1) % 22.52/6.07 | (448) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1 % 22.52/6.07 | % 22.52/6.07 +-Applying beta-rule and splitting (448), into two cases. % 22.52/6.07 |-Branch one: % 22.52/6.07 | (386) all_0_37_37 = e1 % 22.52/6.07 | % 22.52/6.07 | Equations (386) can reduce 203 to: % 22.52/6.07 | (153) ~ (e1 = e0) % 22.52/6.07 | % 22.52/6.07 +-Applying beta-rule and splitting (1032), into two cases. % 22.52/6.07 |-Branch one: % 22.52/6.07 | (620) all_0_34_34 = e0 % 22.52/6.07 | % 22.52/6.07 | Combining equations (620,3632) yields a new equation: % 22.52/6.07 | (3154) all_0_7_7 = e0 % 22.52/6.07 | % 22.52/6.07 | From (620) and (3633) follows: % 22.52/6.07 | (3155) op(e3, e0) = all_0_6_6 % 22.52/6.07 | % 22.52/6.07 +-Applying beta-rule and splitting (41), into two cases. % 22.52/6.07 |-Branch one: % 22.52/6.07 | (3780) ~ (all_0_6_6 = e2) % 22.52/6.07 | % 22.52/6.07 | Instantiating formula (58) with e3, e0, all_0_6_6, e2 and discharging atoms op(e3, e0) = all_0_6_6, op(e3, e0) = e2, yields: % 22.52/6.07 | (3781) all_0_6_6 = e2 % 22.52/6.07 | % 22.52/6.07 | Instantiating formula (58) with e3, e0, all_0_12_12, all_0_6_6 and discharging atoms op(e3, e0) = all_0_6_6, op(e3, e0) = all_0_12_12, yields: % 22.52/6.07 | (3782) all_0_6_6 = all_0_12_12 % 22.52/6.07 | % 22.52/6.07 | Combining equations (3781,3782) yields a new equation: % 22.52/6.07 | (3783) all_0_12_12 = e2 % 22.52/6.07 | % 22.52/6.07 | Combining equations (3783,3782) yields a new equation: % 22.52/6.07 | (3781) all_0_6_6 = e2 % 22.52/6.07 | % 22.52/6.07 | Equations (3781) can reduce 3780 to: % 22.52/6.07 | (188) $false % 22.52/6.07 | % 22.52/6.07 |-The branch is then unsatisfiable % 22.52/6.07 |-Branch two: % 22.52/6.07 | (3781) all_0_6_6 = e2 % 22.52/6.08 | (3787) ~ (all_0_7_7 = e0) | ~ (all_0_24_24 = e1) % 22.52/6.08 | % 22.52/6.08 +-Applying beta-rule and splitting (3787), into two cases. % 22.52/6.08 |-Branch one: % 22.52/6.08 | (3161) ~ (all_0_7_7 = e0) % 22.52/6.08 | % 22.52/6.08 | Equations (3154) can reduce 3161 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (3154) all_0_7_7 = e0 % 22.52/6.08 | (218) ~ (all_0_24_24 = e1) % 22.52/6.08 | % 22.52/6.08 | Equations (694) can reduce 218 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (245) ~ (all_0_34_34 = e0) % 22.52/6.08 | (401) all_0_35_35 = e0 % 22.52/6.08 | % 22.52/6.08 | Combining equations (401,398) yields a new equation: % 22.52/6.08 | (379) e1 = e0 % 22.52/6.08 | % 22.52/6.08 | Equations (379) can reduce 153 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (504) ~ (all_0_37_37 = e1) % 22.52/6.08 | (505) all_0_38_38 = e1 | all_0_39_39 = e1 % 22.52/6.08 | % 22.52/6.08 +-Applying beta-rule and splitting (505), into two cases. % 22.52/6.08 |-Branch one: % 22.52/6.08 | (506) all_0_38_38 = e1 % 22.52/6.08 | % 22.52/6.08 | Combining equations (506,576) yields a new equation: % 22.52/6.08 | (343) e2 = e1 % 22.52/6.08 | % 22.52/6.08 | Equations (343) can reduce 128 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (263) ~ (all_0_38_38 = e1) % 22.52/6.08 | (195) all_0_39_39 = e1 % 22.52/6.08 | % 22.52/6.08 | Combining equations (198,195) yields a new equation: % 22.52/6.08 | (379) e1 = e0 % 22.52/6.08 | % 22.52/6.08 | Equations (379) can reduce 153 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (554) ~ (all_0_38_38 = e2) % 22.52/6.08 | (191) all_0_39_39 = e2 % 22.52/6.08 | % 22.52/6.08 | Combining equations (198,191) yields a new equation: % 22.52/6.08 | (536) e2 = e0 % 22.52/6.08 | % 22.52/6.08 | Equations (536) can reduce 87 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (258) ~ (all_0_30_30 = e1) % 22.52/6.08 | (483) all_0_31_31 = e1 % 22.52/6.08 | % 22.52/6.08 | Combining equations (416,483) yields a new equation: % 22.52/6.08 | (492) e3 = e1 % 22.52/6.08 | % 22.52/6.08 | Simplifying 492 yields: % 22.52/6.08 | (387) e3 = e1 % 22.52/6.08 | % 22.52/6.08 | Equations (387) can reduce 74 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (359) ~ (all_0_33_33 = e3) % 22.52/6.08 | (377) all_0_37_37 = e3 % 22.52/6.08 | % 22.52/6.08 | Equations (377) can reduce 481 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (311) ~ (all_0_28_28 = e0) % 22.52/6.08 | (1119) all_0_32_32 = e0 | all_0_36_36 = e0 % 22.52/6.08 | % 22.52/6.08 +-Applying beta-rule and splitting (1032), into two cases. % 22.52/6.08 |-Branch one: % 22.52/6.08 | (620) all_0_34_34 = e0 % 22.52/6.08 | % 22.52/6.08 | Equations (620) can reduce 20 to: % 22.52/6.08 | (885) ~ (all_0_33_33 = e0) % 22.52/6.08 | % 22.52/6.08 | Equations (620) can reduce 244 to: % 22.52/6.08 | (205) ~ (e3 = e0) % 22.52/6.08 | % 22.52/6.08 | Simplifying 205 yields: % 22.52/6.08 | (79) ~ (e3 = e0) % 22.52/6.08 | % 22.52/6.08 | Equations (620) can reduce 247 to: % 22.52/6.08 | (207) ~ (e2 = e0) % 22.52/6.08 | % 22.52/6.08 | Simplifying 207 yields: % 22.52/6.08 | (87) ~ (e2 = e0) % 22.52/6.08 | % 22.52/6.08 +-Applying beta-rule and splitting (55), into two cases. % 22.52/6.08 |-Branch one: % 22.52/6.08 | (328) all_0_27_27 = e3 % 22.52/6.08 | % 22.52/6.08 | Combining equations (539,328) yields a new equation: % 22.52/6.08 | (333) e3 = e2 % 22.52/6.08 | % 22.52/6.08 | Equations (333) can reduce 62 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (227) ~ (all_0_27_27 = e3) % 22.52/6.08 | (331) all_0_31_31 = e3 | all_0_35_35 = e3 | all_0_39_39 = e3 % 22.52/6.08 | % 22.52/6.08 | Equations (539) can reduce 227 to: % 22.52/6.08 | (340) ~ (e3 = e2) % 22.52/6.08 | % 22.52/6.08 | Simplifying 340 yields: % 22.52/6.08 | (62) ~ (e3 = e2) % 22.52/6.08 | % 22.52/6.08 +-Applying beta-rule and splitting (111), into two cases. % 22.52/6.08 |-Branch one: % 22.52/6.08 | (377) all_0_37_37 = e3 % 22.52/6.08 | % 22.52/6.08 | Equations (377) can reduce 481 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (481) ~ (all_0_37_37 = e3) % 22.52/6.08 | (2566) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0 % 22.52/6.08 | % 22.52/6.08 +-Applying beta-rule and splitting (80), into two cases. % 22.52/6.08 |-Branch one: % 22.52/6.08 | (363) all_0_25_25 = e3 % 22.52/6.08 | % 22.52/6.08 | Combining equations (758,363) yields a new equation: % 22.52/6.08 | (370) e3 = e0 % 22.52/6.08 | % 22.52/6.08 | Equations (370) can reduce 79 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (223) ~ (all_0_25_25 = e3) % 22.52/6.08 | (368) all_0_29_29 = e3 | all_0_33_33 = e3 | all_0_37_37 = e3 % 22.52/6.08 | % 22.52/6.08 +-Applying beta-rule and splitting (98), into two cases. % 22.52/6.08 |-Branch one: % 22.52/6.08 | (732) all_0_36_36 = e2 % 22.52/6.08 | % 22.52/6.08 | Combining equations (454,732) yields a new equation: % 22.52/6.08 | (364) e3 = e2 % 22.52/6.08 | % 22.52/6.08 | Simplifying 364 yields: % 22.52/6.08 | (333) e3 = e2 % 22.52/6.08 | % 22.52/6.08 | Equations (333) can reduce 62 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (828) ~ (all_0_36_36 = e2) % 22.52/6.08 | (829) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2 % 22.52/6.08 | % 22.52/6.08 | Equations (454) can reduce 828 to: % 22.52/6.08 | (62) ~ (e3 = e2) % 22.52/6.08 | % 22.52/6.08 +-Applying beta-rule and splitting (54), into two cases. % 22.52/6.08 |-Branch one: % 22.52/6.08 | (408) all_0_32_32 = e3 % 22.52/6.08 | % 22.52/6.08 | Combining equations (405,408) yields a new equation: % 22.52/6.08 | (333) e3 = e2 % 22.52/6.08 | % 22.52/6.08 | Equations (333) can reduce 62 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (231) ~ (all_0_32_32 = e3) % 22.52/6.08 | (413) all_0_33_33 = e3 | all_0_34_34 = e3 | all_0_35_35 = e3 % 22.52/6.08 | % 22.52/6.08 | Equations (405) can reduce 231 to: % 22.52/6.08 | (340) ~ (e3 = e2) % 22.52/6.08 | % 22.52/6.08 | Simplifying 340 yields: % 22.52/6.08 | (62) ~ (e3 = e2) % 22.52/6.08 | % 22.52/6.08 +-Applying beta-rule and splitting (33), into two cases. % 22.52/6.08 |-Branch one: % 22.52/6.08 | (374) all_0_33_33 = e3 % 22.52/6.08 | % 22.52/6.08 | Equations (374) can reduce 885 to: % 22.52/6.08 | (79) ~ (e3 = e0) % 22.52/6.08 | % 22.52/6.08 +-Applying beta-rule and splitting (1119), into two cases. % 22.52/6.08 |-Branch one: % 22.52/6.08 | (391) all_0_32_32 = e0 % 22.52/6.08 | % 22.52/6.08 | Combining equations (405,391) yields a new equation: % 22.52/6.08 | (535) e2 = e0 % 22.52/6.08 | % 22.52/6.08 | Simplifying 535 yields: % 22.52/6.08 | (536) e2 = e0 % 22.52/6.08 | % 22.52/6.08 | Equations (536) can reduce 87 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (403) ~ (all_0_32_32 = e0) % 22.52/6.08 | (1232) all_0_36_36 = e0 % 22.52/6.08 | % 22.52/6.08 | Combining equations (1232,454) yields a new equation: % 22.52/6.08 | (370) e3 = e0 % 22.52/6.08 | % 22.52/6.08 | Equations (370) can reduce 79 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (359) ~ (all_0_33_33 = e3) % 22.52/6.08 | (2357) all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0 % 22.52/6.08 | % 22.52/6.08 +-Applying beta-rule and splitting (368), into two cases. % 22.52/6.08 |-Branch one: % 22.52/6.08 | (287) all_0_29_29 = e3 % 22.52/6.08 | % 22.52/6.08 | Combining equations (291,287) yields a new equation: % 22.52/6.08 | (333) e3 = e2 % 22.52/6.08 | % 22.52/6.08 | Equations (333) can reduce 62 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (246) ~ (all_0_29_29 = e3) % 22.52/6.08 | (373) all_0_33_33 = e3 | all_0_37_37 = e3 % 22.52/6.08 | % 22.52/6.08 +-Applying beta-rule and splitting (373), into two cases. % 22.52/6.08 |-Branch one: % 22.52/6.08 | (374) all_0_33_33 = e3 % 22.52/6.08 | % 22.52/6.08 | Equations (374) can reduce 359 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (359) ~ (all_0_33_33 = e3) % 22.52/6.08 | (377) all_0_37_37 = e3 % 22.52/6.08 | % 22.52/6.08 | Equations (377) can reduce 481 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (245) ~ (all_0_34_34 = e0) % 22.52/6.08 | (401) all_0_35_35 = e0 % 22.52/6.08 | % 22.52/6.08 | Equations (401) can reduce 201 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (233) ~ (all_0_36_36 = e3) % 22.52/6.08 | (457) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0 % 22.52/6.08 | % 22.52/6.08 +-Applying beta-rule and splitting (457), into two cases. % 22.52/6.08 |-Branch one: % 22.52/6.08 | (732) all_0_36_36 = e2 % 22.52/6.08 | % 22.52/6.08 | Equations (732) can reduce 828 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (828) ~ (all_0_36_36 = e2) % 22.52/6.08 | (1147) all_0_36_36 = e1 | all_0_36_36 = e0 % 22.52/6.08 | % 22.52/6.08 +-Applying beta-rule and splitting (1147), into two cases. % 22.52/6.08 |-Branch one: % 22.52/6.08 | (445) all_0_36_36 = e1 % 22.52/6.08 | % 22.52/6.08 | Equations (445) can reduce 352 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (352) ~ (all_0_36_36 = e1) % 22.52/6.08 | (1232) all_0_36_36 = e0 % 22.52/6.08 | % 22.52/6.08 | Equations (1232) can reduce 202 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (428) ~ (all_0_32_32 = e2) % 22.52/6.08 | (429) all_0_33_33 = e2 | all_0_34_34 = e2 | all_0_35_35 = e2 % 22.52/6.08 | % 22.52/6.08 +-Applying beta-rule and splitting (429), into two cases. % 22.52/6.08 |-Branch one: % 22.52/6.08 | (810) all_0_33_33 = e2 % 22.52/6.08 | % 22.52/6.08 | Equations (810) can reduce 813 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (813) ~ (all_0_33_33 = e2) % 22.52/6.08 | (1658) all_0_34_34 = e2 | all_0_35_35 = e2 % 22.52/6.08 | % 22.52/6.08 +-Applying beta-rule and splitting (1658), into two cases. % 22.52/6.08 |-Branch one: % 22.52/6.08 | (252) all_0_34_34 = e2 % 22.52/6.08 | % 22.52/6.08 | Equations (252) can reduce 247 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (247) ~ (all_0_34_34 = e2) % 22.52/6.08 | (394) all_0_35_35 = e2 % 22.52/6.08 | % 22.52/6.08 | Equations (394) can reduce 319 to: % 22.52/6.08 | (188) $false % 22.52/6.08 | % 22.52/6.08 |-The branch is then unsatisfiable % 22.52/6.08 |-Branch two: % 22.52/6.08 | (252) all_0_34_34 = e2 % 22.52/6.08 | (383) all_0_33_33 = e1 % 22.52/6.08 | % 22.52/6.08 | Combining equations (252,3632) yields a new equation: % 22.52/6.08 | (3905) all_0_7_7 = e2 % 22.52/6.08 | % 22.52/6.08 | Equations (252) can reduce 139 to: % 22.52/6.08 | (552) ~ (all_0_30_30 = e2) % 22.52/6.08 | % 22.52/6.08 | Equations (383) can reduce 2 to: % 22.52/6.08 | (350) ~ (all_0_32_32 = e1) % 22.52/6.08 | % 22.52/6.08 | Equations (252) can reduce 166 to: % 22.52/6.08 | (428) ~ (all_0_32_32 = e2) % 22.52/6.08 | % 22.52/6.08 | Equations (383) can reduce 106 to: % 22.52/6.08 | (260) ~ (all_0_35_35 = e1) % 22.52/6.08 | % 22.52/6.08 | Simplifying 260 yields: % 22.52/6.08 | (261) ~ (all_0_35_35 = e1) % 22.52/6.08 | % 22.52/6.08 | Equations (252) can reduce 49 to: % 22.52/6.08 | (318) ~ (all_0_35_35 = e2) % 22.52/6.08 | % 22.52/6.08 | Simplifying 318 yields: % 22.52/6.08 | (319) ~ (all_0_35_35 = e2) % 22.52/6.08 | % 22.52/6.08 | Equations (252) can reduce 105 to: % 22.52/6.08 | (553) ~ (all_0_38_38 = e2) % 22.52/6.08 | % 22.52/6.08 | Simplifying 553 yields: % 22.52/6.08 | (554) ~ (all_0_38_38 = e2) % 22.52/6.08 | % 22.52/6.08 | Equations (252) can reduce 244 to: % 22.52/6.08 | (340) ~ (e3 = e2) % 22.52/6.08 | % 22.52/6.08 | Simplifying 340 yields: % 22.52/6.08 | (62) ~ (e3 = e2) % 22.52/6.09 | % 22.52/6.09 | From (252) and (3633) follows: % 22.52/6.09 | (3917) op(e3, e2) = all_0_6_6 % 22.52/6.09 | % 22.52/6.09 +-Applying beta-rule and splitting (141), into two cases. % 22.52/6.09 |-Branch one: % 22.52/6.09 | (391) all_0_32_32 = e0 % 22.52/6.09 | % 22.52/6.09 +-Applying beta-rule and splitting (137), into two cases. % 22.52/6.09 |-Branch one: % 22.52/6.09 | (3919) ~ (all_0_6_6 = e0) % 22.52/6.09 | % 22.52/6.09 +-Applying beta-rule and splitting (61), into two cases. % 22.52/6.09 |-Branch one: % 22.52/6.09 | (489) all_0_38_38 = e3 % 22.52/6.09 | % 22.52/6.09 | Equations (489) can reduce 499 to: % 22.52/6.09 | (188) $false % 22.52/6.09 | % 22.52/6.09 |-The branch is then unsatisfiable % 22.52/6.09 |-Branch two: % 22.52/6.09 | (499) ~ (all_0_38_38 = e3) % 22.52/6.09 | (575) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0 % 22.52/6.09 | % 22.52/6.09 +-Applying beta-rule and splitting (80), into two cases. % 22.52/6.09 |-Branch one: % 22.52/6.09 | (363) all_0_25_25 = e3 % 22.52/6.09 | % 22.52/6.09 | Combining equations (758,363) yields a new equation: % 22.52/6.09 | (370) e3 = e0 % 22.52/6.09 | % 22.52/6.09 | Equations (370) can reduce 79 to: % 22.52/6.09 | (188) $false % 22.52/6.09 | % 22.52/6.09 |-The branch is then unsatisfiable % 22.52/6.09 |-Branch two: % 22.52/6.09 | (223) ~ (all_0_25_25 = e3) % 22.52/6.09 | (368) all_0_29_29 = e3 | all_0_33_33 = e3 | all_0_37_37 = e3 % 22.52/6.09 | % 22.52/6.09 +-Applying beta-rule and splitting (368), into two cases. % 22.52/6.09 |-Branch one: % 22.52/6.09 | (287) all_0_29_29 = e3 % 22.52/6.09 | % 22.52/6.09 | Combining equations (291,287) yields a new equation: % 22.52/6.09 | (333) e3 = e2 % 22.52/6.09 | % 22.52/6.09 | Equations (333) can reduce 62 to: % 22.52/6.09 | (188) $false % 22.52/6.09 | % 22.52/6.09 |-The branch is then unsatisfiable % 22.52/6.09 |-Branch two: % 22.52/6.09 | (246) ~ (all_0_29_29 = e3) % 22.52/6.09 | (373) all_0_33_33 = e3 | all_0_37_37 = e3 % 22.52/6.09 | % 22.52/6.09 +-Applying beta-rule and splitting (575), into two cases. % 22.52/6.09 |-Branch one: % 22.52/6.09 | (576) all_0_38_38 = e2 % 22.52/6.09 | % 22.52/6.09 | Equations (576) can reduce 554 to: % 22.52/6.09 | (188) $false % 22.52/6.09 | % 22.52/6.09 |-The branch is then unsatisfiable % 22.52/6.09 |-Branch two: % 22.52/6.09 | (554) ~ (all_0_38_38 = e2) % 22.52/6.09 | (579) all_0_38_38 = e1 | all_0_38_38 = e0 % 22.52/6.09 | % 22.52/6.09 +-Applying beta-rule and splitting (579), into two cases. % 22.52/6.09 |-Branch one: % 22.52/6.09 | (506) all_0_38_38 = e1 % 22.52/6.09 | % 22.52/6.09 | Equations (506) can reduce 15 to: % 22.52/6.09 | (258) ~ (all_0_30_30 = e1) % 22.52/6.09 | % 22.52/6.09 | Equations (506) can reduce 63 to: % 22.52/6.09 | (504) ~ (all_0_37_37 = e1) % 22.52/6.09 | % 22.52/6.09 | Equations (506) can reduce 499 to: % 22.52/6.09 | (691) ~ (e3 = e1) % 22.52/6.09 | % 22.52/6.09 | Simplifying 691 yields: % 22.52/6.09 | (74) ~ (e3 = e1) % 22.52/6.09 | % 22.52/6.09 | Equations (506) can reduce 554 to: % 22.52/6.09 | (264) ~ (e2 = e1) % 22.52/6.09 | % 22.52/6.09 | Simplifying 264 yields: % 22.52/6.09 | (128) ~ (e2 = e1) % 22.52/6.09 | % 22.52/6.09 +-Applying beta-rule and splitting (373), into two cases. % 22.52/6.09 |-Branch one: % 22.52/6.09 | (374) all_0_33_33 = e3 % 22.52/6.09 | % 22.52/6.09 | Combining equations (383,374) yields a new equation: % 22.52/6.09 | (387) e3 = e1 % 22.52/6.09 | % 22.52/6.09 | Equations (387) can reduce 74 to: % 22.52/6.09 | (188) $false % 22.52/6.09 | % 22.52/6.09 |-The branch is then unsatisfiable % 22.52/6.09 |-Branch two: % 22.52/6.09 | (359) ~ (all_0_33_33 = e3) % 22.52/6.09 | (377) all_0_37_37 = e3 % 22.52/6.09 | % 22.52/6.09 | Equations (377) can reduce 169 to: % 22.52/6.09 | (233) ~ (all_0_36_36 = e3) % 22.52/6.09 | % 22.52/6.09 | Equations (377) can reduce 504 to: % 22.52/6.09 | (74) ~ (e3 = e1) % 22.52/6.09 | % 22.52/6.09 | Equations (377) can reduce 203 to: % 22.52/6.09 | (79) ~ (e3 = e0) % 22.52/6.09 | % 22.52/6.09 +-Applying beta-rule and splitting (142), into two cases. % 22.52/6.09 |-Branch one: % 22.52/6.09 | (221) all_0_24_24 = e3 % 22.52/6.09 | % 22.52/6.09 | Combining equations (221,694) yields a new equation: % 22.52/6.09 | (492) e3 = e1 % 22.52/6.09 | % 22.52/6.09 | Simplifying 492 yields: % 22.52/6.09 | (387) e3 = e1 % 22.52/6.09 | % 22.52/6.09 | Equations (387) can reduce 74 to: % 22.52/6.09 | (188) $false % 22.52/6.09 | % 22.52/6.09 |-The branch is then unsatisfiable % 22.52/6.09 |-Branch two: % 22.52/6.09 | (1876) ~ (all_0_24_24 = e3) % 22.52/6.09 | (2125) all_0_28_28 = e3 | all_0_32_32 = e3 | all_0_36_36 = e3 % 22.52/6.09 | % 22.52/6.09 +-Applying beta-rule and splitting (34), into two cases. % 22.52/6.09 |-Branch one: % 22.52/6.09 | (561) all_0_30_30 = e3 % 22.52/6.09 | % 22.52/6.09 | Equations (561) can reduce 556 to: % 22.52/6.09 | (188) $false % 22.52/6.09 | % 22.52/6.09 |-The branch is then unsatisfiable % 22.52/6.09 |-Branch two: % 22.52/6.09 | (556) ~ (all_0_30_30 = e3) % 22.52/6.09 | (564) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0 % 22.52/6.09 | % 22.52/6.09 +-Applying beta-rule and splitting (564), into two cases. % 22.52/6.09 |-Branch one: % 22.52/6.09 | (565) all_0_30_30 = e2 % 22.52/6.09 | % 22.52/6.09 | Equations (565) can reduce 552 to: % 22.52/6.09 | (188) $false % 22.52/6.09 | % 22.52/6.09 |-The branch is then unsatisfiable % 22.52/6.09 |-Branch two: % 22.52/6.09 | (552) ~ (all_0_30_30 = e2) % 22.52/6.09 | (568) all_0_30_30 = e1 | all_0_30_30 = e0 % 22.52/6.09 | % 22.52/6.09 +-Applying beta-rule and splitting (2125), into two cases. % 22.52/6.09 |-Branch one: % 22.52/6.09 | (654) all_0_28_28 = e3 % 22.52/6.09 | % 22.52/6.09 | Equations (654) can reduce 852 to: % 22.52/6.09 | (62) ~ (e3 = e2) % 22.52/6.09 | % 22.52/6.09 +-Applying beta-rule and splitting (568), into two cases. % 22.52/6.09 |-Branch one: % 22.52/6.09 | (525) all_0_30_30 = e1 % 22.52/6.09 | % 22.52/6.09 | Equations (525) can reduce 258 to: % 22.52/6.09 | (188) $false % 22.52/6.09 | % 22.52/6.09 |-The branch is then unsatisfiable % 22.52/6.09 |-Branch two: % 22.52/6.09 | (258) ~ (all_0_30_30 = e1) % 22.52/6.09 | (557) all_0_30_30 = e0 % 22.52/6.09 | % 22.52/6.09 | Equations (557) can reduce 552 to: % 22.52/6.09 | (207) ~ (e2 = e0) % 22.52/6.09 | % 22.52/6.09 | Simplifying 207 yields: % 22.52/6.09 | (87) ~ (e2 = e0) % 22.52/6.09 | % 22.52/6.09 +-Applying beta-rule and splitting (98), into two cases. % 22.52/6.09 |-Branch one: % 22.52/6.09 | (732) all_0_36_36 = e2 % 22.52/6.09 | % 22.52/6.09 | From (732) and (86) follows: % 22.52/6.09 | (3976) op(e3, e2) = all_0_20_20 % 22.52/6.09 | % 22.52/6.09 | Instantiating formula (58) with e3, e2, all_0_6_6, e0 and discharging atoms op(e3, e2) = all_0_6_6, op(e3, e2) = e0, yields: % 22.52/6.09 | (3977) all_0_6_6 = e0 % 22.52/6.09 | % 22.52/6.09 | Instantiating formula (58) with e3, e2, all_0_20_20, all_0_6_6 and discharging atoms op(e3, e2) = all_0_6_6, op(e3, e2) = all_0_20_20, yields: % 22.52/6.09 | (3978) all_0_6_6 = all_0_20_20 % 22.52/6.09 | % 22.52/6.09 | Combining equations (3977,3978) yields a new equation: % 22.52/6.09 | (3979) all_0_20_20 = e0 % 22.52/6.09 | % 22.52/6.09 | Combining equations (3979,3978) yields a new equation: % 22.52/6.09 | (3977) all_0_6_6 = e0 % 22.52/6.09 | % 22.52/6.09 | Equations (3977) can reduce 3919 to: % 22.52/6.09 | (188) $false % 22.52/6.09 | % 22.52/6.09 |-The branch is then unsatisfiable % 22.52/6.09 |-Branch two: % 22.52/6.09 | (828) ~ (all_0_36_36 = e2) % 22.52/6.09 | (829) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2 % 22.52/6.09 | % 22.52/6.09 +-Applying beta-rule and splitting (55), into two cases. % 22.52/6.09 |-Branch one: % 22.52/6.09 | (328) all_0_27_27 = e3 % 22.52/6.09 | % 22.52/6.09 | Combining equations (539,328) yields a new equation: % 22.52/6.09 | (333) e3 = e2 % 22.52/6.09 | % 22.52/6.09 | Equations (333) can reduce 62 to: % 22.52/6.09 | (188) $false % 22.52/6.09 | % 22.52/6.09 |-The branch is then unsatisfiable % 22.52/6.09 |-Branch two: % 22.52/6.09 | (227) ~ (all_0_27_27 = e3) % 22.52/6.09 | (331) all_0_31_31 = e3 | all_0_35_35 = e3 | all_0_39_39 = e3 % 22.52/6.09 | % 22.52/6.09 | Equations (539) can reduce 227 to: % 22.52/6.09 | (340) ~ (e3 = e2) % 22.52/6.09 | % 22.52/6.09 | Simplifying 340 yields: % 22.52/6.09 | (62) ~ (e3 = e2) % 22.52/6.09 | % 22.52/6.09 +-Applying beta-rule and splitting (829), into two cases. % 22.52/6.09 |-Branch one: % 22.52/6.09 | (814) all_0_37_37 = e2 % 22.52/6.09 | % 22.52/6.09 | Combining equations (377,814) yields a new equation: % 22.52/6.09 | (364) e3 = e2 % 22.52/6.09 | % 22.52/6.09 | Simplifying 364 yields: % 22.52/6.09 | (333) e3 = e2 % 22.52/6.09 | % 22.52/6.09 | Equations (333) can reduce 62 to: % 22.52/6.09 | (188) $false % 22.52/6.09 | % 22.52/6.09 |-The branch is then unsatisfiable % 22.52/6.09 |-Branch two: % 22.52/6.09 | (339) ~ (all_0_37_37 = e2) % 22.52/6.09 | (2054) all_0_38_38 = e2 | all_0_39_39 = e2 % 22.52/6.09 | % 22.52/6.09 +-Applying beta-rule and splitting (2054), into two cases. % 22.52/6.09 |-Branch one: % 22.52/6.09 | (576) all_0_38_38 = e2 % 22.52/6.09 | % 22.52/6.09 | Combining equations (506,576) yields a new equation: % 22.52/6.09 | (343) e2 = e1 % 22.52/6.09 | % 22.52/6.09 | Equations (343) can reduce 128 to: % 22.52/6.09 | (188) $false % 22.52/6.09 | % 22.52/6.09 |-The branch is then unsatisfiable % 22.52/6.09 |-Branch two: % 22.52/6.09 | (554) ~ (all_0_38_38 = e2) % 22.52/6.09 | (191) all_0_39_39 = e2 % 22.52/6.09 | % 22.52/6.09 | Combining equations (198,191) yields a new equation: % 22.52/6.09 | (536) e2 = e0 % 22.52/6.09 | % 22.52/6.09 | Equations (536) can reduce 87 to: % 22.52/6.09 | (188) $false % 22.52/6.09 | % 22.52/6.09 |-The branch is then unsatisfiable % 22.52/6.09 |-Branch two: % 22.52/6.09 | (229) ~ (all_0_28_28 = e3) % 22.52/6.09 | (2149) all_0_32_32 = e3 | all_0_36_36 = e3 % 22.52/6.09 | % 22.52/6.09 +-Applying beta-rule and splitting (2149), into two cases. % 22.52/6.09 |-Branch one: % 22.52/6.09 | (408) all_0_32_32 = e3 % 22.52/6.09 | % 22.52/6.09 | Combining equations (391,408) yields a new equation: % 22.52/6.09 | (370) e3 = e0 % 22.52/6.09 | % 22.52/6.09 | Equations (370) can reduce 79 to: % 22.52/6.09 | (188) $false % 22.52/6.09 | % 22.52/6.09 |-The branch is then unsatisfiable % 22.52/6.09 |-Branch two: % 22.52/6.09 | (231) ~ (all_0_32_32 = e3) % 22.52/6.09 | (454) all_0_36_36 = e3 % 22.52/6.09 | % 22.52/6.09 | Equations (454) can reduce 233 to: % 22.52/6.09 | (188) $false % 22.52/6.09 | % 22.52/6.09 |-The branch is then unsatisfiable % 22.52/6.09 |-Branch two: % 22.52/6.09 | (263) ~ (all_0_38_38 = e1) % 22.52/6.09 | (583) all_0_38_38 = e0 % 22.52/6.09 | % 22.52/6.09 | Equations (583) can reduce 204 to: % 22.52/6.09 | (188) $false % 22.52/6.09 | % 22.52/6.09 |-The branch is then unsatisfiable % 22.52/6.09 |-Branch two: % 22.90/6.09 | (3977) all_0_6_6 = e0 % 22.90/6.09 | (4016) ~ (all_0_7_7 = e2) | ~ (all_0_24_24 = e1) % 22.90/6.09 | % 22.90/6.09 +-Applying beta-rule and splitting (4016), into two cases. % 22.90/6.09 |-Branch one: % 22.90/6.09 | (4017) ~ (all_0_7_7 = e2) % 22.90/6.09 | % 22.90/6.09 | Equations (3905) can reduce 4017 to: % 22.90/6.09 | (188) $false % 22.90/6.09 | % 22.90/6.09 |-The branch is then unsatisfiable % 22.90/6.09 |-Branch two: % 22.90/6.09 | (3905) all_0_7_7 = e2 % 22.90/6.09 | (218) ~ (all_0_24_24 = e1) % 22.90/6.09 | % 22.90/6.09 | Equations (694) can reduce 218 to: % 22.90/6.09 | (188) $false % 22.90/6.09 | % 22.90/6.09 |-The branch is then unsatisfiable % 22.90/6.09 |-Branch two: % 22.90/6.09 | (403) ~ (all_0_32_32 = e0) % 22.90/6.09 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 22.90/6.09 | % 22.90/6.09 +-Applying beta-rule and splitting (124), into two cases. % 22.90/6.09 |-Branch one: % 22.90/6.09 | (408) all_0_32_32 = e3 % 22.90/6.09 | % 22.90/6.10 | Equations (408) can reduce 89 to: % 22.90/6.10 | (1903) ~ (all_0_35_35 = e3) % 22.90/6.10 | % 22.90/6.10 | Simplifying 1903 yields: % 22.90/6.10 | (389) ~ (all_0_35_35 = e3) % 22.90/6.10 | % 22.90/6.10 +-Applying beta-rule and splitting (179), into two cases. % 22.90/6.10 |-Branch one: % 22.90/6.10 | (358) all_0_35_35 = e3 % 22.90/6.10 | % 22.90/6.10 | Equations (358) can reduce 389 to: % 22.90/6.10 | (188) $false % 22.90/6.10 | % 22.90/6.10 |-The branch is then unsatisfiable % 22.90/6.10 |-Branch two: % 22.90/6.10 | (389) ~ (all_0_35_35 = e3) % 22.90/6.10 | (390) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0 % 22.90/6.10 | % 22.90/6.10 +-Applying beta-rule and splitting (390), into two cases. % 22.90/6.10 |-Branch one: % 22.90/6.10 | (394) all_0_35_35 = e2 % 22.90/6.10 | % 22.90/6.10 | Equations (394) can reduce 319 to: % 22.90/6.10 | (188) $false % 22.90/6.10 | % 22.90/6.10 |-The branch is then unsatisfiable % 22.90/6.10 |-Branch two: % 22.90/6.10 | (319) ~ (all_0_35_35 = e2) % 22.90/6.10 | (397) all_0_35_35 = e1 | all_0_35_35 = e0 % 22.90/6.10 | % 22.90/6.10 +-Applying beta-rule and splitting (397), into two cases. % 22.90/6.10 |-Branch one: % 22.90/6.10 | (398) all_0_35_35 = e1 % 22.90/6.10 | % 22.90/6.10 | Equations (398) can reduce 261 to: % 22.90/6.10 | (188) $false % 22.90/6.10 | % 22.90/6.10 |-The branch is then unsatisfiable % 22.90/6.10 |-Branch two: % 22.90/6.10 | (261) ~ (all_0_35_35 = e1) % 22.90/6.10 | (401) all_0_35_35 = e0 % 22.90/6.10 | % 22.90/6.10 | Equations (401) can reduce 201 to: % 22.90/6.10 | (188) $false % 22.90/6.10 | % 22.90/6.10 |-The branch is then unsatisfiable % 22.90/6.10 |-Branch two: % 22.90/6.10 | (231) ~ (all_0_32_32 = e3) % 22.90/6.10 | (433) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0 % 22.90/6.10 | % 22.90/6.10 +-Applying beta-rule and splitting (433), into two cases. % 22.90/6.10 |-Branch one: % 22.90/6.10 | (405) all_0_32_32 = e2 % 22.90/6.10 | % 22.90/6.10 | Equations (405) can reduce 428 to: % 22.90/6.10 | (188) $false % 22.90/6.10 | % 22.90/6.10 |-The branch is then unsatisfiable % 22.90/6.10 |-Branch two: % 22.90/6.10 | (428) ~ (all_0_32_32 = e2) % 22.90/6.10 | (437) all_0_32_32 = e1 | all_0_32_32 = e0 % 22.90/6.10 | % 22.90/6.10 +-Applying beta-rule and splitting (437), into two cases. % 22.90/6.10 |-Branch one: % 22.90/6.10 | (438) all_0_32_32 = e1 % 22.90/6.10 | % 22.90/6.10 | Equations (438) can reduce 350 to: % 22.90/6.10 | (188) $false % 22.90/6.10 | % 22.90/6.10 |-The branch is then unsatisfiable % 22.90/6.10 |-Branch two: % 22.90/6.10 | (350) ~ (all_0_32_32 = e1) % 22.90/6.10 | (391) all_0_32_32 = e0 % 22.90/6.10 | % 22.90/6.10 | Equations (391) can reduce 403 to: % 22.90/6.10 | (188) $false % 22.90/6.10 | % 22.90/6.10 |-The branch is then unsatisfiable % 22.90/6.10 |-Branch two: % 22.90/6.10 | (301) ~ (all_0_29_29 = e2) % 22.90/6.10 | (302) all_0_29_29 = e1 | all_0_29_29 = e0 % 22.90/6.10 | % 22.90/6.10 +-Applying beta-rule and splitting (302), into two cases. % 22.90/6.10 |-Branch one: % 22.90/6.10 | (303) all_0_29_29 = e1 % 22.90/6.10 | % 22.90/6.10 | Equations (303) can reduce 183 to: % 22.90/6.10 | (188) $false % 22.90/6.10 | % 22.90/6.10 |-The branch is then unsatisfiable % 22.90/6.10 |-Branch two: % 22.90/6.10 | (183) ~ (all_0_29_29 = e1) % 22.90/6.10 | (306) all_0_29_29 = e0 % 22.90/6.10 | % 22.90/6.10 | Equations (306) can reduce 286 to: % 22.90/6.10 | (188) $false % 22.90/6.10 | % 22.90/6.10 |-The branch is then unsatisfiable % 22.90/6.10 |-Branch two: % 22.90/6.10 | (287) all_0_29_29 = e3 % 22.90/6.10 | (849) all_0_28_28 = e2 % 22.90/6.10 | % 22.90/6.10 | Equations (849,287) can reduce 118 to: % 22.90/6.10 | (340) ~ (e3 = e2) % 22.90/6.10 | % 22.90/6.10 | Simplifying 340 yields: % 22.90/6.10 | (62) ~ (e3 = e2) % 22.90/6.10 | % 22.90/6.10 | Equations (849) can reduce 30 to: % 22.90/6.10 | (1045) ~ (all_0_31_31 = e2) % 22.90/6.10 | % 22.90/6.10 | Simplifying 1045 yields: % 22.90/6.10 | (817) ~ (all_0_31_31 = e2) % 22.90/6.10 | % 22.90/6.10 | Equations (287) can reduce 53 to: % 22.90/6.10 | (711) ~ (all_0_31_31 = e3) % 22.90/6.10 | % 22.90/6.10 | Simplifying 711 yields: % 22.90/6.10 | (419) ~ (all_0_31_31 = e3) % 22.90/6.10 | % 22.90/6.10 | Equations (287) can reduce 35 to: % 22.90/6.10 | (1388) ~ (all_0_37_37 = e3) % 22.90/6.10 | % 22.90/6.10 | Simplifying 1388 yields: % 22.90/6.10 | (481) ~ (all_0_37_37 = e3) % 22.90/6.10 | % 22.90/6.10 | Equations (287) can reduce 286 to: % 22.90/6.10 | (79) ~ (e3 = e0) % 22.90/6.10 | % 22.90/6.10 | From (287)(287) and (45) follows: % 22.90/6.10 | (1971) op(e3, e3) = all_0_5_5 % 22.90/6.10 | % 22.90/6.10 +-Applying beta-rule and splitting (55), into two cases. % 22.90/6.10 |-Branch one: % 22.90/6.10 | (328) all_0_27_27 = e3 % 22.90/6.10 | % 22.90/6.10 | Combining equations (539,328) yields a new equation: % 22.90/6.10 | (333) e3 = e2 % 22.90/6.10 | % 22.90/6.10 | Equations (333) can reduce 62 to: % 22.90/6.10 | (188) $false % 22.90/6.10 | % 22.90/6.10 |-The branch is then unsatisfiable % 22.90/6.10 |-Branch two: % 22.90/6.10 | (227) ~ (all_0_27_27 = e3) % 22.90/6.10 | (331) all_0_31_31 = e3 | all_0_35_35 = e3 | all_0_39_39 = e3 % 22.90/6.10 | % 22.90/6.10 +-Applying beta-rule and splitting (27), into two cases. % 22.90/6.10 |-Branch one: % 22.90/6.10 | (763) all_0_28_28 = e0 % 22.90/6.10 | % 22.90/6.10 | Combining equations (849,763) yields a new equation: % 22.90/6.10 | (535) e2 = e0 % 22.90/6.10 | % 22.90/6.10 | Simplifying 535 yields: % 22.90/6.10 | (536) e2 = e0 % 22.90/6.10 | % 22.90/6.10 | Equations (536) can reduce 87 to: % 22.90/6.10 | (188) $false % 22.90/6.10 | % 22.90/6.10 |-The branch is then unsatisfiable % 22.90/6.10 |-Branch two: % 22.90/6.10 | (311) ~ (all_0_28_28 = e0) % 22.90/6.10 | (768) all_0_29_29 = e0 | all_0_30_30 = e0 | all_0_31_31 = e0 % 22.90/6.10 | % 22.90/6.10 | Equations (849) can reduce 311 to: % 22.90/6.10 | (87) ~ (e2 = e0) % 22.90/6.10 | % 22.90/6.10 +-Applying beta-rule and splitting (107), into two cases. % 22.90/6.10 |-Branch one: % 22.90/6.10 | (454) all_0_36_36 = e3 % 22.90/6.10 | % 22.90/6.10 | Equations (454) can reduce 202 to: % 22.90/6.10 | (79) ~ (e3 = e0) % 22.90/6.10 | % 22.90/6.10 | From (454) and (86) follows: % 22.90/6.10 | (4084) op(e3, e3) = all_0_20_20 % 22.90/6.10 | % 22.90/6.10 +-Applying beta-rule and splitting (115), into two cases. % 22.90/6.10 |-Branch one: % 22.90/6.10 | (1082) all_0_24_24 = e0 % 22.90/6.10 | % 22.90/6.10 | Combining equations (694,1082) yields a new equation: % 22.90/6.10 | (510) e1 = e0 % 22.90/6.10 | % 22.90/6.10 | Simplifying 510 yields: % 22.90/6.10 | (379) e1 = e0 % 22.90/6.10 | % 22.90/6.10 | Equations (379) can reduce 153 to: % 22.90/6.10 | (188) $false % 22.90/6.10 | % 22.90/6.10 |-The branch is then unsatisfiable % 22.90/6.10 |-Branch two: % 22.90/6.10 | (220) ~ (all_0_24_24 = e0) % 22.90/6.10 | (1111) all_0_28_28 = e0 | all_0_32_32 = e0 | all_0_36_36 = e0 % 22.90/6.10 | % 22.90/6.10 +-Applying beta-rule and splitting (1111), into two cases. % 22.90/6.10 |-Branch one: % 22.90/6.10 | (763) all_0_28_28 = e0 % 22.90/6.10 | % 22.90/6.10 | Combining equations (849,763) yields a new equation: % 22.90/6.10 | (535) e2 = e0 % 22.90/6.10 | % 22.90/6.10 | Simplifying 535 yields: % 22.90/6.10 | (536) e2 = e0 % 22.90/6.10 | % 22.90/6.10 | Equations (536) can reduce 87 to: % 22.90/6.10 | (188) $false % 22.90/6.10 | % 22.90/6.10 |-The branch is then unsatisfiable % 22.90/6.10 |-Branch two: % 22.90/6.10 | (311) ~ (all_0_28_28 = e0) % 22.90/6.10 | (1119) all_0_32_32 = e0 | all_0_36_36 = e0 % 22.90/6.10 | % 22.90/6.10 +-Applying beta-rule and splitting (331), into two cases. % 22.90/6.10 |-Branch one: % 22.90/6.10 | (416) all_0_31_31 = e3 % 22.90/6.10 | % 22.90/6.10 | Equations (416) can reduce 419 to: % 22.90/6.10 | (188) $false % 22.90/6.10 | % 22.90/6.10 |-The branch is then unsatisfiable % 22.90/6.10 |-Branch two: % 22.90/6.10 | (419) ~ (all_0_31_31 = e3) % 22.90/6.10 | (420) all_0_35_35 = e3 | all_0_39_39 = e3 % 22.90/6.10 | % 22.90/6.10 +-Applying beta-rule and splitting (10), into two cases. % 22.90/6.10 |-Branch one: % 22.90/6.10 | (416) all_0_31_31 = e3 % 22.90/6.10 | % 22.90/6.10 | Equations (416) can reduce 419 to: % 22.90/6.10 | (188) $false % 22.90/6.10 | % 22.90/6.10 |-The branch is then unsatisfiable % 22.90/6.10 |-Branch two: % 22.90/6.10 | (419) ~ (all_0_31_31 = e3) % 22.90/6.10 | (967) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0 % 22.90/6.10 | % 22.90/6.10 +-Applying beta-rule and splitting (420), into two cases. % 22.90/6.10 |-Branch one: % 22.90/6.10 | (358) all_0_35_35 = e3 % 22.90/6.10 | % 22.90/6.10 | Equations (358) can reduce 89 to: % 22.90/6.10 | (231) ~ (all_0_32_32 = e3) % 22.90/6.10 | % 22.90/6.10 | Equations (358) can reduce 201 to: % 22.90/6.10 | (79) ~ (e3 = e0) % 22.90/6.10 | % 22.90/6.10 +-Applying beta-rule and splitting (967), into two cases. % 22.90/6.10 |-Branch one: % 22.90/6.10 | (309) all_0_31_31 = e2 % 22.90/6.10 | % 22.90/6.10 | Equations (309) can reduce 817 to: % 22.90/6.10 | (188) $false % 22.90/6.10 | % 22.90/6.10 |-The branch is then unsatisfiable % 22.90/6.10 |-Branch two: % 22.90/6.10 | (817) ~ (all_0_31_31 = e2) % 22.90/6.10 | (996) all_0_31_31 = e1 | all_0_31_31 = e0 % 22.90/6.10 | % 22.90/6.10 +-Applying beta-rule and splitting (996), into two cases. % 22.90/6.10 |-Branch one: % 22.90/6.10 | (483) all_0_31_31 = e1 % 22.90/6.10 | % 22.90/6.10 +-Applying beta-rule and splitting (1119), into two cases. % 22.90/6.10 |-Branch one: % 22.90/6.10 | (391) all_0_32_32 = e0 % 22.90/6.10 | % 22.90/6.10 | Equations (391) can reduce 231 to: % 22.90/6.10 | (205) ~ (e3 = e0) % 22.90/6.10 | % 22.90/6.10 | Simplifying 205 yields: % 22.90/6.10 | (79) ~ (e3 = e0) % 22.90/6.10 | % 22.90/6.10 | Equations (391) can reduce 350 to: % 22.90/6.10 | (209) ~ (e1 = e0) % 22.90/6.10 | % 22.90/6.10 | Simplifying 209 yields: % 22.90/6.10 | (153) ~ (e1 = e0) % 22.90/6.10 | % 22.90/6.10 +-Applying beta-rule and splitting (768), into two cases. % 22.90/6.10 |-Branch one: % 22.90/6.10 | (306) all_0_29_29 = e0 % 22.90/6.10 | % 22.90/6.10 | Combining equations (287,306) yields a new equation: % 22.90/6.10 | (425) e3 = e0 % 22.90/6.10 | % 22.90/6.10 | Simplifying 425 yields: % 22.90/6.10 | (370) e3 = e0 % 22.90/6.10 | % 22.90/6.10 | Equations (370) can reduce 79 to: % 22.90/6.10 | (188) $false % 22.90/6.10 | % 22.90/6.10 |-The branch is then unsatisfiable % 22.90/6.10 |-Branch two: % 22.90/6.10 | (286) ~ (all_0_29_29 = e0) % 22.90/6.10 | (798) all_0_30_30 = e0 | all_0_31_31 = e0 % 22.90/6.10 | % 22.90/6.10 +-Applying beta-rule and splitting (798), into two cases. % 22.90/6.10 |-Branch one: % 22.90/6.10 | (557) all_0_30_30 = e0 % 22.90/6.10 | % 22.90/6.10 | From (557) and (122) follows: % 22.90/6.10 | (4125) op(e2, e1) = e0 % 22.90/6.10 | % 22.90/6.10 | Instantiating formula (58) with e3, e3, all_0_5_5, e1 and discharging atoms op(e3, e3) = all_0_5_5, op(e3, e3) = e1, yields: % 22.90/6.10 | (4126) all_0_5_5 = e1 % 22.90/6.10 | % 22.90/6.10 | Instantiating formula (58) with e3, e3, all_0_20_20, all_0_5_5 and discharging atoms op(e3, e3) = all_0_5_5, op(e3, e3) = all_0_20_20, yields: % 22.90/6.10 | (4127) all_0_5_5 = all_0_20_20 % 22.90/6.10 | % 22.90/6.10 | Combining equations (4126,4127) yields a new equation: % 22.90/6.10 | (4128) all_0_20_20 = e1 % 22.90/6.10 | % 22.90/6.10 | Combining equations (4128,4127) yields a new equation: % 22.90/6.10 | (4126) all_0_5_5 = e1 % 22.90/6.10 | % 22.90/6.10 | From (4126) and (5) follows: % 22.90/6.10 | (4130) op(e2, e1) = all_0_4_4 % 22.90/6.10 | % 22.90/6.10 +-Applying beta-rule and splitting (46), into two cases. % 22.90/6.10 |-Branch one: % 22.90/6.10 | (4131) ~ (all_0_4_4 = e0) % 22.90/6.10 | % 22.90/6.10 | Instantiating formula (58) with e2, e1, all_0_4_4, e0 and discharging atoms op(e2, e1) = all_0_4_4, op(e2, e1) = e0, yields: % 22.90/6.10 | (4132) all_0_4_4 = e0 % 22.90/6.10 | % 22.90/6.10 | Equations (4132) can reduce 4131 to: % 22.90/6.10 | (188) $false % 22.90/6.10 | % 22.90/6.10 |-The branch is then unsatisfiable % 22.90/6.10 |-Branch two: % 22.90/6.10 | (4132) all_0_4_4 = e0 % 22.90/6.10 | (4135) ~ (all_0_5_5 = e1) | ~ (all_0_29_29 = e3) % 22.90/6.10 | % 22.90/6.10 +-Applying beta-rule and splitting (4135), into two cases. % 22.90/6.10 |-Branch one: % 22.90/6.10 | (4136) ~ (all_0_5_5 = e1) % 22.90/6.10 | % 22.90/6.10 | Equations (4126) can reduce 4136 to: % 22.90/6.10 | (188) $false % 22.90/6.10 | % 22.90/6.10 |-The branch is then unsatisfiable % 22.90/6.10 |-Branch two: % 22.90/6.10 | (4126) all_0_5_5 = e1 % 22.90/6.10 | (246) ~ (all_0_29_29 = e3) % 22.90/6.10 | % 22.90/6.10 | Equations (287) can reduce 246 to: % 22.90/6.10 | (188) $false % 22.90/6.10 | % 22.90/6.10 |-The branch is then unsatisfiable % 22.90/6.10 |-Branch two: % 22.90/6.10 | (313) ~ (all_0_30_30 = e0) % 22.90/6.10 | (938) all_0_31_31 = e0 % 22.90/6.10 | % 22.90/6.10 | Combining equations (483,938) yields a new equation: % 22.90/6.10 | (510) e1 = e0 % 22.90/6.10 | % 22.90/6.10 | Simplifying 510 yields: % 22.90/6.10 | (379) e1 = e0 % 22.90/6.10 | % 22.90/6.10 | Equations (379) can reduce 153 to: % 22.90/6.10 | (188) $false % 22.90/6.10 | % 22.90/6.10 |-The branch is then unsatisfiable % 22.90/6.10 |-Branch two: % 22.90/6.10 | (403) ~ (all_0_32_32 = e0) % 22.90/6.10 | (1232) all_0_36_36 = e0 % 22.90/6.10 | % 22.90/6.10 | Combining equations (454,1232) yields a new equation: % 22.90/6.10 | (425) e3 = e0 % 22.90/6.10 | % 22.90/6.10 | Simplifying 425 yields: % 22.90/6.10 | (370) e3 = e0 % 22.90/6.10 | % 22.90/6.10 | Equations (370) can reduce 79 to: % 22.90/6.10 | (188) $false % 22.90/6.10 | % 22.90/6.10 |-The branch is then unsatisfiable % 22.90/6.10 |-Branch two: % 22.90/6.10 | (487) ~ (all_0_31_31 = e1) % 22.90/6.11 | (938) all_0_31_31 = e0 % 22.90/6.11 | % 22.90/6.11 | Equations (938) can reduce 200 to: % 22.90/6.11 | (188) $false % 22.90/6.11 | % 22.90/6.11 |-The branch is then unsatisfiable % 22.90/6.11 |-Branch two: % 22.90/6.11 | (389) ~ (all_0_35_35 = e3) % 22.90/6.11 | (187) all_0_39_39 = e3 % 22.90/6.11 | % 22.90/6.11 | Combining equations (198,187) yields a new equation: % 22.90/6.11 | (370) e3 = e0 % 22.90/6.11 | % 22.90/6.11 | Equations (370) can reduce 79 to: % 22.90/6.11 | (188) $false % 22.90/6.11 | % 22.90/6.11 |-The branch is then unsatisfiable % 22.90/6.11 |-Branch two: % 22.90/6.11 | (233) ~ (all_0_36_36 = e3) % 22.90/6.11 | (477) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3 % 22.90/6.11 | % 22.90/6.11 +-Applying beta-rule and splitting (10), into two cases. % 22.90/6.11 |-Branch one: % 22.90/6.11 | (416) all_0_31_31 = e3 % 22.90/6.11 | % 22.90/6.11 | Equations (416) can reduce 419 to: % 22.90/6.11 | (188) $false % 22.90/6.11 | % 22.90/6.11 |-The branch is then unsatisfiable % 22.90/6.11 |-Branch two: % 22.90/6.11 | (419) ~ (all_0_31_31 = e3) % 22.90/6.11 | (967) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0 % 22.90/6.11 | % 22.90/6.11 +-Applying beta-rule and splitting (768), into two cases. % 22.90/6.11 |-Branch one: % 22.90/6.11 | (306) all_0_29_29 = e0 % 22.90/6.11 | % 22.90/6.11 | Combining equations (287,306) yields a new equation: % 22.90/6.11 | (425) e3 = e0 % 22.90/6.11 | % 22.90/6.11 | Simplifying 425 yields: % 22.90/6.11 | (370) e3 = e0 % 22.90/6.11 | % 22.90/6.11 | Equations (370) can reduce 79 to: % 22.90/6.11 | (188) $false % 22.90/6.11 | % 22.90/6.11 |-The branch is then unsatisfiable % 22.90/6.11 |-Branch two: % 22.90/6.11 | (286) ~ (all_0_29_29 = e0) % 22.90/6.11 | (798) all_0_30_30 = e0 | all_0_31_31 = e0 % 22.90/6.11 | % 22.90/6.11 | Equations (287) can reduce 286 to: % 22.90/6.11 | (79) ~ (e3 = e0) % 22.90/6.11 | % 22.90/6.11 +-Applying beta-rule and splitting (331), into two cases. % 22.90/6.11 |-Branch one: % 22.90/6.11 | (416) all_0_31_31 = e3 % 22.90/6.11 | % 22.90/6.11 | Equations (416) can reduce 419 to: % 22.90/6.11 | (188) $false % 22.90/6.11 | % 22.90/6.11 |-The branch is then unsatisfiable % 22.90/6.11 |-Branch two: % 22.90/6.11 | (419) ~ (all_0_31_31 = e3) % 22.90/6.11 | (420) all_0_35_35 = e3 | all_0_39_39 = e3 % 22.90/6.11 | % 22.90/6.11 +-Applying beta-rule and splitting (420), into two cases. % 22.90/6.11 |-Branch one: % 22.90/6.11 | (358) all_0_35_35 = e3 % 22.90/6.11 | % 22.90/6.11 | Equations (358) can reduce 201 to: % 22.90/6.11 | (79) ~ (e3 = e0) % 22.90/6.11 | % 22.90/6.11 +-Applying beta-rule and splitting (477), into two cases. % 22.90/6.11 |-Branch one: % 22.90/6.11 | (377) all_0_37_37 = e3 % 22.90/6.11 | % 22.90/6.11 | Equations (377) can reduce 481 to: % 22.90/6.11 | (188) $false % 22.90/6.11 | % 22.90/6.11 |-The branch is then unsatisfiable % 22.90/6.11 |-Branch two: % 22.90/6.11 | (481) ~ (all_0_37_37 = e3) % 22.90/6.11 | (482) all_0_38_38 = e3 | all_0_39_39 = e3 % 22.90/6.11 | % 22.90/6.11 +-Applying beta-rule and splitting (482), into two cases. % 22.90/6.11 |-Branch one: % 22.90/6.11 | (489) all_0_38_38 = e3 % 22.90/6.11 | % 22.90/6.11 | Equations (489) can reduce 499 to: % 22.90/6.11 | (188) $false % 22.90/6.11 | % 22.90/6.11 |-The branch is then unsatisfiable % 22.90/6.11 |-Branch two: % 22.90/6.11 | (499) ~ (all_0_38_38 = e3) % 22.90/6.11 | (187) all_0_39_39 = e3 % 22.90/6.11 | % 22.90/6.11 | Combining equations (198,187) yields a new equation: % 22.90/6.11 | (370) e3 = e0 % 22.90/6.11 | % 22.90/6.11 | Equations (370) can reduce 79 to: % 22.90/6.11 | (188) $false % 22.90/6.11 | % 22.90/6.11 |-The branch is then unsatisfiable % 22.90/6.11 |-Branch two: % 22.90/6.11 | (389) ~ (all_0_35_35 = e3) % 22.90/6.11 | (187) all_0_39_39 = e3 % 22.90/6.11 | % 22.90/6.11 | Combining equations (187,198) yields a new equation: % 22.90/6.11 | (425) e3 = e0 % 22.90/6.11 | % 22.90/6.11 | Simplifying 425 yields: % 22.90/6.11 | (370) e3 = e0 % 22.90/6.11 | % 22.90/6.11 | Equations (370) can reduce 79 to: % 22.90/6.11 | (188) $false % 22.90/6.11 | % 22.90/6.11 |-The branch is then unsatisfiable % 22.90/6.11 |-Branch two: % 22.90/6.11 | (310) ~ (all_0_27_27 = e2) % 22.90/6.11 | (926) all_0_27_27 = e1 | all_0_27_27 = e0 % 22.90/6.11 | % 22.90/6.11 +-Applying beta-rule and splitting (926), into two cases. % 22.90/6.11 |-Branch one: % 22.90/6.11 | (354) all_0_27_27 = e1 % 22.90/6.11 | % 22.90/6.11 | Equations (354) can reduce 443 to: % 22.90/6.11 | (188) $false % 22.90/6.11 | % 22.90/6.11 |-The branch is then unsatisfiable % 22.90/6.11 |-Branch two: % 22.90/6.11 | (443) ~ (all_0_27_27 = e1) % 22.90/6.11 | (930) all_0_27_27 = e0 % 22.90/6.11 | % 22.90/6.11 | Equations (930) can reduce 199 to: % 22.90/6.11 | (188) $false % 22.90/6.11 | % 22.90/6.11 |-The branch is then unsatisfiable % 22.90/6.11 |-Branch two: % 22.90/6.11 | (726) ~ (all_0_25_25 = e0) % 22.90/6.11 | (1317) all_0_26_26 = e0 | all_0_27_27 = e0 % 22.90/6.11 | % 22.90/6.11 +-Applying beta-rule and splitting (1317), into two cases. % 22.90/6.11 |-Branch one: % 22.90/6.11 | (321) all_0_26_26 = e0 % 22.90/6.11 | % 22.90/6.11 | Combining equations (543,321) yields a new equation: % 22.90/6.11 | (425) e3 = e0 % 22.90/6.11 | % 22.90/6.11 | Simplifying 425 yields: % 22.90/6.11 | (370) e3 = e0 % 22.90/6.11 | % 22.90/6.11 | Equations (370) can reduce 79 to: % 22.90/6.11 | (188) $false % 22.90/6.11 | % 22.90/6.11 |-The branch is then unsatisfiable % 22.90/6.11 |-Branch two: % 22.90/6.11 | (541) ~ (all_0_26_26 = e0) % 22.90/6.11 | (930) all_0_27_27 = e0 % 22.90/6.11 | % 22.90/6.11 | Equations (930) can reduce 199 to: % 22.90/6.11 | (188) $false % 22.90/6.11 | % 22.90/6.11 |-The branch is then unsatisfiable % 22.90/6.11 |-Branch two: % 22.90/6.11 | (187) all_0_39_39 = e3 % 22.90/6.11 | (1232) all_0_36_36 = e0 % 22.90/6.11 | % 22.90/6.11 | Equations (1232) can reduce 68 to: % 22.90/6.11 | (220) ~ (all_0_24_24 = e0) % 22.90/6.11 | % 22.90/6.11 | Equations (1232) can reduce 52 to: % 22.90/6.11 | (311) ~ (all_0_28_28 = e0) % 22.90/6.11 | % 22.90/6.11 | Equations (187) can reduce 8 to: % 22.90/6.11 | (419) ~ (all_0_31_31 = e3) % 22.90/6.11 | % 22.90/6.11 | Equations (1232) can reduce 11 to: % 22.90/6.11 | (403) ~ (all_0_32_32 = e0) % 22.90/6.11 | % 22.90/6.11 | Equations (1232) can reduce 169 to: % 22.90/6.11 | (314) ~ (all_0_37_37 = e0) % 22.90/6.11 | % 22.90/6.11 | Simplifying 314 yields: % 22.90/6.11 | (203) ~ (all_0_37_37 = e0) % 22.90/6.11 | % 22.90/6.11 | Equations (1232) can reduce 23 to: % 22.90/6.11 | (1337) ~ (all_0_38_38 = e0) % 22.90/6.11 | % 22.90/6.11 | Simplifying 1337 yields: % 22.90/6.11 | (204) ~ (all_0_38_38 = e0) % 22.90/6.11 | % 22.90/6.11 | Equations (1232,187) can reduce 19 to: % 22.90/6.11 | (205) ~ (e3 = e0) % 22.90/6.11 | % 22.90/6.11 | Simplifying 205 yields: % 22.90/6.11 | (79) ~ (e3 = e0) % 22.90/6.11 | % 22.90/6.11 | Equations (187) can reduce 64 to: % 22.90/6.11 | (481) ~ (all_0_37_37 = e3) % 22.90/6.11 | % 22.90/6.11 | Equations (187) can reduce 39 to: % 22.90/6.11 | (499) ~ (all_0_38_38 = e3) % 22.90/6.11 | % 22.90/6.11 | Equations (187) can reduce 185 to: % 22.90/6.11 | (62) ~ (e3 = e2) % 22.90/6.11 | % 22.90/6.11 | Equations (187) can reduce 184 to: % 22.90/6.11 | (74) ~ (e3 = e1) % 22.90/6.11 | % 22.90/6.11 | From (187)(187) and (101) follows: % 22.90/6.11 | (4224) op(e3, e3) = all_0_1_1 % 22.90/6.11 | % 22.90/6.11 | From (1232) and (86) follows: % 22.90/6.11 | (4225) op(e3, e0) = all_0_20_20 % 22.90/6.11 | % 22.90/6.11 | From (187) and (26) follows: % 22.90/6.11 | (4226) op(e0, e0) = e3 % 22.90/6.11 | % 22.90/6.11 | Instantiating formula (58) with e3, e3, all_0_1_1, all_0_24_24 and discharging atoms op(e3, e3) = all_0_1_1, op(e3, e3) = all_0_24_24, yields: % 22.90/6.11 | (4227) all_0_1_1 = all_0_24_24 % 22.90/6.11 | % 22.90/6.11 | Instantiating formula (58) with e3, e0, all_0_20_20, all_0_27_27 and discharging atoms op(e3, e0) = all_0_20_20, op(e3, e0) = all_0_27_27, yields: % 22.90/6.11 | (4228) all_0_20_20 = all_0_27_27 % 22.90/6.11 | % 22.90/6.11 | From (4227) and (4224) follows: % 22.90/6.11 | (103) op(e3, e3) = all_0_24_24 % 22.90/6.11 | % 22.90/6.11 | From (4227) and (155) follows: % 22.90/6.11 | (4230) op(e0, all_0_24_24) = all_0_0_0 % 22.90/6.11 | % 22.90/6.11 +-Applying beta-rule and splitting (163), into two cases. % 22.90/6.11 |-Branch one: % 22.90/6.11 | (219) ~ (all_0_24_24 = e2) % 22.90/6.11 | % 22.90/6.11 +-Applying beta-rule and splitting (132), into two cases. % 22.90/6.11 |-Branch one: % 22.90/6.11 | (218) ~ (all_0_24_24 = e1) % 22.90/6.11 | % 22.90/6.11 +-Applying beta-rule and splitting (17), into two cases. % 22.90/6.11 |-Branch one: % 22.90/6.11 | (221) all_0_24_24 = e3 % 22.90/6.11 | % 22.90/6.11 | Equations (221) can reduce 149 to: % 22.90/6.11 | (222) ~ (all_0_25_25 = e3) % 22.90/6.11 | % 22.90/6.11 | Simplifying 222 yields: % 22.90/6.11 | (223) ~ (all_0_25_25 = e3) % 22.90/6.11 | % 22.90/6.11 | Equations (221) can reduce 60 to: % 22.90/6.11 | (224) ~ (all_0_26_26 = e3) % 22.90/6.11 | % 22.90/6.11 | Simplifying 224 yields: % 22.90/6.11 | (225) ~ (all_0_26_26 = e3) % 22.90/6.11 | % 22.90/6.11 | Equations (221) can reduce 160 to: % 22.90/6.11 | (226) ~ (all_0_27_27 = e3) % 22.90/6.11 | % 22.90/6.11 | Simplifying 226 yields: % 22.90/6.11 | (227) ~ (all_0_27_27 = e3) % 22.90/6.11 | % 22.90/6.11 | Equations (221) can reduce 9 to: % 22.90/6.11 | (228) ~ (all_0_28_28 = e3) % 22.90/6.11 | % 22.90/6.11 | Simplifying 228 yields: % 22.90/6.11 | (229) ~ (all_0_28_28 = e3) % 22.90/6.11 | % 22.90/6.11 | Equations (221) can reduce 102 to: % 22.90/6.11 | (230) ~ (all_0_32_32 = e3) % 22.90/6.11 | % 22.90/6.11 | Simplifying 230 yields: % 22.90/6.11 | (231) ~ (all_0_32_32 = e3) % 22.90/6.11 | % 22.90/6.11 | Equations (221) can reduce 218 to: % 22.90/6.11 | (74) ~ (e3 = e1) % 22.90/6.11 | % 22.90/6.11 | Equations (221) can reduce 220 to: % 22.90/6.11 | (79) ~ (e3 = e0) % 22.90/6.11 | % 22.90/6.11 | From (221)(221) and (143) follows: % 22.90/6.11 | (237) op(e3, e3) = all_0_7_7 % 22.90/6.11 | % 22.90/6.11 | From (221) and (180) follows: % 22.90/6.11 | (238) op(e3, e3) = all_0_8_8 % 22.90/6.11 | % 22.90/6.11 | From (221) and (103) follows: % 22.90/6.11 | (239) op(e3, e3) = e3 % 22.90/6.11 | % 22.90/6.11 | Instantiating formula (58) with e3, e3, all_0_8_8, all_0_7_7 and discharging atoms op(e3, e3) = all_0_7_7, op(e3, e3) = all_0_8_8, yields: % 22.90/6.11 | (240) all_0_7_7 = all_0_8_8 % 22.90/6.11 | % 22.90/6.11 | Instantiating formula (58) with e3, e3, e3, all_0_7_7 and discharging atoms op(e3, e3) = all_0_7_7, op(e3, e3) = e3, yields: % 22.90/6.11 | (241) all_0_7_7 = e3 % 22.90/6.11 | % 22.90/6.11 | Combining equations (240,241) yields a new equation: % 22.90/6.11 | (242) all_0_8_8 = e3 % 22.90/6.11 | % 22.90/6.11 | Simplifying 242 yields: % 22.90/6.11 | (243) all_0_8_8 = e3 % 22.90/6.11 | % 22.90/6.11 +-Applying beta-rule and splitting (76), into two cases. % 22.90/6.11 |-Branch one: % 22.90/6.11 | (247) ~ (all_0_34_34 = e2) % 22.90/6.11 | % 22.90/6.11 +-Applying beta-rule and splitting (164), into two cases. % 22.90/6.11 |-Branch one: % 22.90/6.11 | (246) ~ (all_0_29_29 = e3) % 22.90/6.11 | % 22.90/6.11 +-Applying beta-rule and splitting (80), into two cases. % 22.90/6.11 |-Branch one: % 22.90/6.11 | (363) all_0_25_25 = e3 % 22.90/6.11 | % 22.90/6.11 | Equations (363) can reduce 223 to: % 22.90/6.11 | (188) $false % 22.90/6.11 | % 22.90/6.11 |-The branch is then unsatisfiable % 22.90/6.11 |-Branch two: % 22.90/6.11 | (223) ~ (all_0_25_25 = e3) % 22.90/6.11 | (368) all_0_29_29 = e3 | all_0_33_33 = e3 | all_0_37_37 = e3 % 22.90/6.11 | % 22.90/6.11 +-Applying beta-rule and splitting (104), into two cases. % 22.90/6.11 |-Branch one: % 22.90/6.11 | (654) all_0_28_28 = e3 % 22.90/6.11 | % 22.90/6.11 | Equations (654) can reduce 229 to: % 22.90/6.11 | (188) $false % 22.90/6.11 | % 22.90/6.11 |-The branch is then unsatisfiable % 22.90/6.11 |-Branch two: % 22.90/6.11 | (229) ~ (all_0_28_28 = e3) % 22.90/6.11 | (657) all_0_29_29 = e3 | all_0_30_30 = e3 | all_0_31_31 = e3 % 22.90/6.11 | % 22.90/6.11 +-Applying beta-rule and splitting (657), into two cases. % 22.90/6.11 |-Branch one: % 22.90/6.11 | (287) all_0_29_29 = e3 % 22.90/6.11 | % 22.90/6.11 | Equations (287) can reduce 246 to: % 22.90/6.11 | (188) $false % 22.90/6.11 | % 22.90/6.11 |-The branch is then unsatisfiable % 22.90/6.11 |-Branch two: % 22.90/6.11 | (246) ~ (all_0_29_29 = e3) % 22.90/6.11 | (661) all_0_30_30 = e3 | all_0_31_31 = e3 % 22.90/6.11 | % 22.90/6.11 +-Applying beta-rule and splitting (661), into two cases. % 22.90/6.11 |-Branch one: % 22.90/6.11 | (561) all_0_30_30 = e3 % 22.90/6.11 | % 22.90/6.11 | Equations (561) can reduce 133 to: % 22.90/6.11 | (246) ~ (all_0_29_29 = e3) % 22.90/6.11 | % 22.90/6.11 | Equations (561) can reduce 168 to: % 22.90/6.11 | (711) ~ (all_0_31_31 = e3) % 22.90/6.11 | % 22.90/6.11 | Simplifying 711 yields: % 22.90/6.11 | (419) ~ (all_0_31_31 = e3) % 22.90/6.11 | % 22.90/6.11 | Equations (561) can reduce 15 to: % 22.90/6.11 | (673) ~ (all_0_38_38 = e3) % 22.90/6.11 | % 22.90/6.11 | Simplifying 673 yields: % 22.90/6.11 | (499) ~ (all_0_38_38 = e3) % 22.90/6.11 | % 22.90/6.11 | From (561) and (21) follows: % 22.90/6.11 | (2387) op(e1, e3) = all_0_14_14 % 22.90/6.11 | % 22.90/6.11 +-Applying beta-rule and splitting (368), into two cases. % 22.90/6.11 |-Branch one: % 22.90/6.11 | (287) all_0_29_29 = e3 % 22.90/6.11 | % 22.90/6.11 | Equations (287) can reduce 246 to: % 22.90/6.11 | (188) $false % 22.90/6.11 | % 22.90/6.11 |-The branch is then unsatisfiable % 22.90/6.11 |-Branch two: % 22.90/6.11 | (246) ~ (all_0_29_29 = e3) % 22.90/6.11 | (373) all_0_33_33 = e3 | all_0_37_37 = e3 % 22.90/6.11 | % 22.90/6.11 +-Applying beta-rule and splitting (373), into two cases. % 22.90/6.11 |-Branch one: % 22.90/6.11 | (374) all_0_33_33 = e3 % 22.90/6.11 | % 22.90/6.11 | Equations (374) can reduce 108 to: % 22.90/6.11 | (246) ~ (all_0_29_29 = e3) % 22.90/6.11 | % 22.90/6.11 | Equations (374) can reduce 182 to: % 22.90/6.11 | (1388) ~ (all_0_37_37 = e3) % 22.90/6.11 | % 22.90/6.11 | Simplifying 1388 yields: % 22.90/6.11 | (481) ~ (all_0_37_37 = e3) % 22.90/6.11 | % 22.90/6.11 | From (374) and (157) follows: % 22.90/6.11 | (2592) op(e2, e3) = all_0_17_17 % 22.90/6.11 | % 22.90/6.11 | Instantiating formula (58) with e2, e3, all_0_17_17, all_0_28_28 and discharging atoms op(e2, e3) = all_0_17_17, op(e2, e3) = all_0_28_28, yields: % 22.90/6.11 | (2597) all_0_17_17 = all_0_28_28 % 22.90/6.11 | % 22.90/6.11 | Instantiating formula (58) with e1, e3, all_0_14_14, all_0_32_32 and discharging atoms op(e1, e3) = all_0_14_14, op(e1, e3) = all_0_32_32, yields: % 22.90/6.11 | (4284) all_0_14_14 = all_0_32_32 % 22.90/6.11 | % 22.90/6.11 | From (2597) and (2592) follows: % 22.90/6.12 | (150) op(e2, e3) = all_0_28_28 % 22.90/6.12 | % 22.90/6.12 | From (4284) and (2387) follows: % 22.90/6.12 | (82) op(e1, e3) = all_0_32_32 % 22.90/6.12 | % 22.90/6.12 +-Applying beta-rule and splitting (29), into two cases. % 22.90/6.12 |-Branch one: % 22.90/6.12 | (286) ~ (all_0_29_29 = e0) % 22.90/6.12 | % 22.90/6.12 +-Applying beta-rule and splitting (78), into two cases. % 22.90/6.12 |-Branch one: % 22.90/6.12 | (287) all_0_29_29 = e3 % 22.90/6.12 | % 22.90/6.12 | Equations (287) can reduce 246 to: % 22.90/6.12 | (188) $false % 22.90/6.12 | % 22.90/6.12 |-The branch is then unsatisfiable % 22.90/6.12 |-Branch two: % 22.90/6.12 | (246) ~ (all_0_29_29 = e3) % 22.90/6.12 | (290) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0 % 22.90/6.12 | % 22.90/6.12 +-Applying beta-rule and splitting (27), into two cases. % 22.90/6.12 |-Branch one: % 22.90/6.12 | (763) all_0_28_28 = e0 % 22.90/6.12 | % 22.90/6.12 | Equations (763) can reduce 311 to: % 22.90/6.12 | (188) $false % 22.90/6.12 | % 22.90/6.12 |-The branch is then unsatisfiable % 22.90/6.12 |-Branch two: % 22.90/6.12 | (311) ~ (all_0_28_28 = e0) % 22.90/6.12 | (768) all_0_29_29 = e0 | all_0_30_30 = e0 | all_0_31_31 = e0 % 22.90/6.12 | % 22.90/6.12 +-Applying beta-rule and splitting (290), into two cases. % 22.90/6.12 |-Branch one: % 22.90/6.12 | (291) all_0_29_29 = e2 % 22.90/6.12 | % 22.90/6.12 | Equations (291) can reduce 118 to: % 22.90/6.12 | (852) ~ (all_0_28_28 = e2) % 22.90/6.12 | % 22.90/6.12 | Equations (291) can reduce 35 to: % 22.90/6.12 | (338) ~ (all_0_37_37 = e2) % 22.90/6.12 | % 22.90/6.12 | Simplifying 338 yields: % 22.90/6.12 | (339) ~ (all_0_37_37 = e2) % 22.90/6.12 | % 22.90/6.12 | Equations (291) can reduce 246 to: % 22.90/6.12 | (340) ~ (e3 = e2) % 22.90/6.12 | % 22.90/6.12 | Simplifying 340 yields: % 22.90/6.12 | (62) ~ (e3 = e2) % 22.90/6.12 | % 22.90/6.12 | Equations (291) can reduce 286 to: % 22.90/6.12 | (87) ~ (e2 = e0) % 22.90/6.12 | % 22.90/6.12 +-Applying beta-rule and splitting (768), into two cases. % 22.90/6.12 |-Branch one: % 22.90/6.12 | (306) all_0_29_29 = e0 % 22.90/6.12 | % 22.90/6.12 | Combining equations (291,306) yields a new equation: % 22.90/6.12 | (535) e2 = e0 % 22.90/6.12 | % 22.90/6.12 | Simplifying 535 yields: % 22.90/6.12 | (536) e2 = e0 % 22.90/6.12 | % 22.90/6.12 | Equations (536) can reduce 87 to: % 22.90/6.12 | (188) $false % 22.90/6.12 | % 22.90/6.12 |-The branch is then unsatisfiable % 22.90/6.12 |-Branch two: % 22.90/6.12 | (286) ~ (all_0_29_29 = e0) % 22.90/6.12 | (798) all_0_30_30 = e0 | all_0_31_31 = e0 % 22.90/6.12 | % 22.90/6.12 +-Applying beta-rule and splitting (162), into two cases. % 22.90/6.12 |-Branch one: % 22.90/6.12 | (332) all_0_24_24 = e2 % 22.90/6.12 | % 22.90/6.12 | Combining equations (221,332) yields a new equation: % 22.90/6.12 | (364) e3 = e2 % 22.90/6.12 | % 22.90/6.12 | Simplifying 364 yields: % 22.90/6.12 | (333) e3 = e2 % 22.90/6.12 | % 22.90/6.12 | Equations (333) can reduce 62 to: % 22.90/6.12 | (188) $false % 22.90/6.12 | % 22.90/6.12 |-The branch is then unsatisfiable % 22.90/6.12 |-Branch two: % 22.90/6.12 | (219) ~ (all_0_24_24 = e2) % 22.90/6.12 | (718) all_0_28_28 = e2 | all_0_32_32 = e2 | all_0_36_36 = e2 % 22.90/6.12 | % 22.90/6.12 +-Applying beta-rule and splitting (111), into two cases. % 22.90/6.12 |-Branch one: % 22.90/6.12 | (377) all_0_37_37 = e3 % 22.90/6.12 | % 22.90/6.12 | Equations (377) can reduce 481 to: % 22.90/6.12 | (188) $false % 22.90/6.12 | % 22.90/6.12 |-The branch is then unsatisfiable % 22.90/6.12 |-Branch two: % 22.90/6.12 | (481) ~ (all_0_37_37 = e3) % 22.90/6.12 | (2566) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0 % 22.90/6.12 | % 22.90/6.12 +-Applying beta-rule and splitting (2566), into two cases. % 22.90/6.12 |-Branch one: % 22.90/6.12 | (814) all_0_37_37 = e2 % 22.90/6.12 | % 22.90/6.12 | Equations (814) can reduce 339 to: % 22.90/6.12 | (188) $false % 22.90/6.12 | % 22.90/6.12 |-The branch is then unsatisfiable % 22.90/6.12 |-Branch two: % 22.90/6.12 | (339) ~ (all_0_37_37 = e2) % 22.90/6.12 | (2755) all_0_37_37 = e1 | all_0_37_37 = e0 % 22.90/6.12 | % 22.90/6.12 +-Applying beta-rule and splitting (2755), into two cases. % 22.90/6.12 |-Branch one: % 22.90/6.12 | (386) all_0_37_37 = e1 % 22.90/6.12 | % 22.90/6.12 | Equations (386) can reduce 63 to: % 22.90/6.12 | (262) ~ (all_0_38_38 = e1) % 22.90/6.12 | % 22.90/6.12 | Simplifying 262 yields: % 22.90/6.12 | (263) ~ (all_0_38_38 = e1) % 22.90/6.12 | % 22.90/6.12 +-Applying beta-rule and splitting (61), into two cases. % 22.90/6.12 |-Branch one: % 22.90/6.12 | (489) all_0_38_38 = e3 % 22.90/6.12 | % 22.90/6.12 | Equations (489) can reduce 499 to: % 22.90/6.12 | (188) $false % 22.90/6.12 | % 22.90/6.12 |-The branch is then unsatisfiable % 22.90/6.12 |-Branch two: % 22.90/6.12 | (499) ~ (all_0_38_38 = e3) % 22.90/6.12 | (575) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0 % 22.90/6.12 | % 22.90/6.12 +-Applying beta-rule and splitting (798), into two cases. % 22.90/6.12 |-Branch one: % 22.90/6.12 | (557) all_0_30_30 = e0 % 22.90/6.12 | % 22.90/6.12 | Combining equations (561,557) yields a new equation: % 22.90/6.12 | (425) e3 = e0 % 22.90/6.12 | % 22.90/6.12 | Simplifying 425 yields: % 22.90/6.12 | (370) e3 = e0 % 22.90/6.12 | % 22.90/6.12 | Equations (370) can reduce 79 to: % 22.90/6.12 | (188) $false % 22.90/6.12 | % 22.90/6.12 |-The branch is then unsatisfiable % 22.90/6.12 |-Branch two: % 22.90/6.12 | (313) ~ (all_0_30_30 = e0) % 22.90/6.12 | (938) all_0_31_31 = e0 % 22.90/6.12 | % 22.90/6.12 | Equations (938) can reduce 147 to: % 22.90/6.12 | (392) ~ (all_0_35_35 = e0) % 22.90/6.12 | % 22.90/6.12 | Simplifying 392 yields: % 22.90/6.12 | (201) ~ (all_0_35_35 = e0) % 22.90/6.12 | % 22.90/6.12 | Equations (938) can reduce 419 to: % 22.90/6.12 | (205) ~ (e3 = e0) % 22.90/6.12 | % 22.90/6.12 | Simplifying 205 yields: % 22.90/6.12 | (79) ~ (e3 = e0) % 22.90/6.12 | % 22.90/6.12 | From (938) and (40) follows: % 22.90/6.12 | (4340) op(e0, e0) = all_0_15_15 % 22.90/6.12 | % 22.90/6.12 +-Applying beta-rule and splitting (575), into two cases. % 22.90/6.12 |-Branch one: % 22.90/6.12 | (576) all_0_38_38 = e2 % 22.90/6.12 | % 22.90/6.12 | Equations (576) can reduce 204 to: % 22.90/6.12 | (87) ~ (e2 = e0) % 22.90/6.12 | % 22.90/6.12 +-Applying beta-rule and splitting (718), into two cases. % 22.90/6.12 |-Branch one: % 22.90/6.12 | (849) all_0_28_28 = e2 % 22.90/6.12 | % 22.90/6.12 | Equations (849) can reduce 852 to: % 22.90/6.12 | (188) $false % 22.90/6.12 | % 22.90/6.12 |-The branch is then unsatisfiable % 22.90/6.12 |-Branch two: % 22.90/6.12 | (852) ~ (all_0_28_28 = e2) % 22.90/6.12 | (853) all_0_32_32 = e2 | all_0_36_36 = e2 % 22.90/6.12 | % 22.90/6.12 +-Applying beta-rule and splitting (853), into two cases. % 22.90/6.12 |-Branch one: % 22.90/6.12 | (405) all_0_32_32 = e2 % 22.90/6.12 | % 22.90/6.12 | Equations (405) can reduce 403 to: % 22.90/6.12 | (87) ~ (e2 = e0) % 22.90/6.12 | % 22.90/6.12 | From (405) and (82) follows: % 22.90/6.12 | (4349) op(e1, e3) = e2 % 22.90/6.12 | % 22.90/6.12 +-Applying beta-rule and splitting (141), into two cases. % 22.90/6.12 |-Branch one: % 22.90/6.12 | (391) all_0_32_32 = e0 % 22.90/6.12 | % 22.90/6.12 | Combining equations (405,391) yields a new equation: % 22.90/6.12 | (535) e2 = e0 % 22.90/6.12 | % 22.90/6.12 | Simplifying 535 yields: % 22.90/6.12 | (536) e2 = e0 % 22.90/6.12 | % 22.90/6.12 | Equations (536) can reduce 87 to: % 22.90/6.12 | (188) $false % 22.90/6.12 | % 22.90/6.12 |-The branch is then unsatisfiable % 22.90/6.12 |-Branch two: % 22.90/6.12 | (403) ~ (all_0_32_32 = e0) % 22.90/6.12 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 22.90/6.12 | % 22.90/6.12 +-Applying beta-rule and splitting (404), into two cases. % 22.90/6.12 |-Branch one: % 22.90/6.12 | (882) all_0_33_33 = e0 % 22.90/6.12 | % 22.90/6.12 | Combining equations (374,882) yields a new equation: % 22.90/6.12 | (425) e3 = e0 % 22.90/6.12 | % 22.90/6.12 | Simplifying 425 yields: % 22.90/6.12 | (370) e3 = e0 % 22.90/6.12 | % 22.90/6.12 | Equations (370) can reduce 79 to: % 22.90/6.12 | (188) $false % 22.90/6.12 | % 22.90/6.12 |-The branch is then unsatisfiable % 22.90/6.12 |-Branch two: % 22.90/6.12 | (885) ~ (all_0_33_33 = e0) % 22.90/6.12 | (1032) all_0_34_34 = e0 | all_0_35_35 = e0 % 22.90/6.12 | % 22.90/6.12 +-Applying beta-rule and splitting (1032), into two cases. % 22.90/6.12 |-Branch one: % 22.90/6.12 | (620) all_0_34_34 = e0 % 22.90/6.12 | % 22.90/6.12 | From (620)(620) and (28) follows: % 22.90/6.12 | (4363) op(e0, e0) = all_0_3_3 % 22.90/6.12 | % 22.90/6.12 +-Applying beta-rule and splitting (146), into two cases. % 22.90/6.12 |-Branch one: % 22.90/6.12 | (245) ~ (all_0_34_34 = e0) % 22.90/6.12 | % 22.90/6.12 | Equations (620) can reduce 245 to: % 22.90/6.12 | (188) $false % 22.90/6.12 | % 22.90/6.12 |-The branch is then unsatisfiable % 22.90/6.12 |-Branch two: % 22.90/6.12 | (620) all_0_34_34 = e0 % 22.90/6.12 | (398) all_0_35_35 = e1 % 22.90/6.12 | % 22.90/6.12 | Instantiating formula (58) with e0, e0, all_0_3_3, e3 and discharging atoms op(e0, e0) = all_0_3_3, op(e0, e0) = e3, yields: % 22.90/6.12 | (1198) all_0_3_3 = e3 % 22.90/6.12 | % 22.90/6.12 | Instantiating formula (58) with e0, e0, all_0_15_15, all_0_3_3 and discharging atoms op(e0, e0) = all_0_3_3, op(e0, e0) = all_0_15_15, yields: % 22.90/6.12 | (4369) all_0_3_3 = all_0_15_15 % 22.90/6.12 | % 22.90/6.12 | Combining equations (1198,4369) yields a new equation: % 22.90/6.12 | (2321) all_0_15_15 = e3 % 22.90/6.12 | % 22.90/6.12 | Combining equations (2321,4369) yields a new equation: % 22.90/6.12 | (1198) all_0_3_3 = e3 % 22.90/6.12 | % 22.90/6.12 | From (1198) and (24) follows: % 22.90/6.12 | (1200) op(e1, e3) = all_0_2_2 % 22.90/6.12 | % 22.90/6.12 +-Applying beta-rule and splitting (73), into two cases. % 22.90/6.12 |-Branch one: % 22.90/6.12 | (2193) ~ (all_0_2_2 = e2) % 22.90/6.12 | % 22.90/6.12 | Instantiating formula (58) with e1, e3, all_0_2_2, e2 and discharging atoms op(e1, e3) = all_0_2_2, op(e1, e3) = e2, yields: % 22.90/6.12 | (2194) all_0_2_2 = e2 % 22.90/6.12 | % 22.90/6.12 | Equations (2194) can reduce 2193 to: % 22.90/6.12 | (188) $false % 22.90/6.12 | % 22.90/6.12 |-The branch is then unsatisfiable % 22.90/6.12 |-Branch two: % 22.90/6.12 | (2194) all_0_2_2 = e2 % 22.90/6.12 | (4377) ~ (all_0_3_3 = e3) | ~ (all_0_34_34 = e0) % 22.90/6.12 | % 22.90/6.12 +-Applying beta-rule and splitting (4377), into two cases. % 22.90/6.12 |-Branch one: % 22.90/6.12 | (1207) ~ (all_0_3_3 = e3) % 22.90/6.12 | % 22.90/6.12 | Equations (1198) can reduce 1207 to: % 22.90/6.12 | (188) $false % 22.90/6.12 | % 22.90/6.12 |-The branch is then unsatisfiable % 22.90/6.12 |-Branch two: % 22.90/6.12 | (1198) all_0_3_3 = e3 % 22.90/6.12 | (245) ~ (all_0_34_34 = e0) % 22.90/6.12 | % 22.90/6.12 | Equations (620) can reduce 245 to: % 22.90/6.12 | (188) $false % 22.90/6.12 | % 22.90/6.12 |-The branch is then unsatisfiable % 22.90/6.12 |-Branch two: % 22.90/6.12 | (245) ~ (all_0_34_34 = e0) % 22.90/6.12 | (401) all_0_35_35 = e0 % 22.90/6.12 | % 22.90/6.12 | Equations (401) can reduce 201 to: % 22.90/6.12 | (188) $false % 22.90/6.12 | % 22.90/6.12 |-The branch is then unsatisfiable % 22.90/6.12 |-Branch two: % 22.90/6.12 | (428) ~ (all_0_32_32 = e2) % 22.90/6.12 | (732) all_0_36_36 = e2 % 22.90/6.12 | % 22.90/6.12 | Combining equations (1232,732) yields a new equation: % 22.90/6.12 | (536) e2 = e0 % 22.90/6.12 | % 22.90/6.12 | Equations (536) can reduce 87 to: % 22.90/6.12 | (188) $false % 22.90/6.12 | % 22.90/6.12 |-The branch is then unsatisfiable % 22.90/6.12 |-Branch two: % 22.90/6.12 | (554) ~ (all_0_38_38 = e2) % 22.90/6.12 | (579) all_0_38_38 = e1 | all_0_38_38 = e0 % 22.90/6.12 | % 22.90/6.12 +-Applying beta-rule and splitting (579), into two cases. % 22.90/6.12 |-Branch one: % 22.90/6.12 | (506) all_0_38_38 = e1 % 22.90/6.12 | % 22.90/6.12 | Equations (506) can reduce 263 to: % 22.90/6.12 | (188) $false % 22.90/6.12 | % 22.90/6.12 |-The branch is then unsatisfiable % 22.90/6.12 |-Branch two: % 22.90/6.12 | (263) ~ (all_0_38_38 = e1) % 22.90/6.12 | (583) all_0_38_38 = e0 % 22.90/6.12 | % 22.90/6.12 | Equations (583) can reduce 204 to: % 22.90/6.12 | (188) $false % 22.90/6.12 | % 22.90/6.12 |-The branch is then unsatisfiable % 22.90/6.12 |-Branch two: % 22.90/6.12 | (504) ~ (all_0_37_37 = e1) % 22.90/6.12 | (886) all_0_37_37 = e0 % 22.90/6.12 | % 22.90/6.12 | Equations (886) can reduce 203 to: % 22.90/6.12 | (188) $false % 22.90/6.12 | % 22.90/6.12 |-The branch is then unsatisfiable % 22.90/6.12 |-Branch two: % 22.90/6.12 | (301) ~ (all_0_29_29 = e2) % 22.90/6.12 | (302) all_0_29_29 = e1 | all_0_29_29 = e0 % 22.90/6.12 | % 22.90/6.12 +-Applying beta-rule and splitting (768), into two cases. % 22.90/6.12 |-Branch one: % 22.90/6.12 | (306) all_0_29_29 = e0 % 22.90/6.12 | % 22.90/6.12 | Equations (306) can reduce 286 to: % 22.90/6.12 | (188) $false % 22.90/6.12 | % 22.90/6.12 |-The branch is then unsatisfiable % 22.90/6.12 |-Branch two: % 22.90/6.12 | (286) ~ (all_0_29_29 = e0) % 22.90/6.12 | (798) all_0_30_30 = e0 | all_0_31_31 = e0 % 22.90/6.12 | % 22.90/6.12 +-Applying beta-rule and splitting (302), into two cases. % 22.90/6.12 |-Branch one: % 22.90/6.12 | (303) all_0_29_29 = e1 % 22.90/6.12 | % 22.90/6.12 | Equations (303) can reduce 183 to: % 22.90/6.12 | (188) $false % 22.90/6.12 | % 22.90/6.12 |-The branch is then unsatisfiable % 22.90/6.12 |-Branch two: % 22.90/6.12 | (183) ~ (all_0_29_29 = e1) % 22.90/6.12 | (306) all_0_29_29 = e0 % 22.90/6.12 | % 22.90/6.12 | Equations (306) can reduce 286 to: % 22.90/6.12 | (188) $false % 22.90/6.12 | % 22.90/6.12 |-The branch is then unsatisfiable % 22.90/6.12 |-Branch two: % 22.90/6.12 | (306) all_0_29_29 = e0 % 22.90/6.12 | (309) all_0_31_31 = e2 % 22.90/6.12 | % 22.90/6.12 | Equations (306) can reduce 183 to: % 22.90/6.12 | (209) ~ (e1 = e0) % 22.90/6.12 | % 22.90/6.12 | Simplifying 209 yields: % 22.90/6.12 | (153) ~ (e1 = e0) % 22.90/6.12 | % 22.90/6.12 | Equations (309) can reduce 147 to: % 22.90/6.12 | (318) ~ (all_0_35_35 = e2) % 22.90/6.12 | % 22.90/6.12 | Simplifying 318 yields: % 22.90/6.12 | (319) ~ (all_0_35_35 = e2) % 22.90/6.12 | % 22.90/6.12 | Equations (309) can reduce 419 to: % 22.90/6.12 | (340) ~ (e3 = e2) % 22.90/6.12 | % 22.90/6.12 | Simplifying 340 yields: % 22.90/6.12 | (62) ~ (e3 = e2) % 22.90/6.12 | % 22.90/6.12 | From (306)(306) and (45) follows: % 22.90/6.12 | (4419) op(e0, e0) = all_0_5_5 % 22.90/6.13 | % 22.90/6.13 +-Applying beta-rule and splitting (162), into two cases. % 22.90/6.13 |-Branch one: % 22.90/6.13 | (332) all_0_24_24 = e2 % 22.90/6.13 | % 22.90/6.13 | Combining equations (221,332) yields a new equation: % 22.90/6.13 | (364) e3 = e2 % 22.90/6.13 | % 22.90/6.13 | Simplifying 364 yields: % 22.90/6.13 | (333) e3 = e2 % 22.90/6.13 | % 22.90/6.13 | Equations (333) can reduce 62 to: % 22.90/6.13 | (188) $false % 22.90/6.13 | % 22.90/6.13 |-The branch is then unsatisfiable % 22.90/6.13 |-Branch two: % 22.90/6.13 | (219) ~ (all_0_24_24 = e2) % 22.90/6.13 | (718) all_0_28_28 = e2 | all_0_32_32 = e2 | all_0_36_36 = e2 % 22.90/6.13 | % 22.90/6.13 | Equations (221) can reduce 219 to: % 22.90/6.13 | (62) ~ (e3 = e2) % 22.90/6.13 | % 22.90/6.13 +-Applying beta-rule and splitting (14), into two cases. % 22.90/6.13 |-Branch one: % 22.90/6.13 | (405) all_0_32_32 = e2 % 22.90/6.13 | % 22.90/6.13 +-Applying beta-rule and splitting (16), into two cases. % 22.90/6.13 |-Branch one: % 22.90/6.13 | (348) all_0_28_28 = e1 % 22.90/6.13 | % 22.90/6.13 | From (348) and (150) follows: % 22.90/6.13 | (4429) op(e2, e3) = e1 % 22.90/6.13 | % 22.90/6.13 | Instantiating formula (58) with e0, e0, all_0_5_5, e3 and discharging atoms op(e0, e0) = all_0_5_5, op(e0, e0) = e3, yields: % 22.90/6.13 | (4430) all_0_5_5 = e3 % 22.90/6.13 | % 22.90/6.13 | From (4430) and (5) follows: % 22.90/6.13 | (4431) op(e2, e3) = all_0_4_4 % 22.90/6.13 | % 22.90/6.13 +-Applying beta-rule and splitting (83), into two cases. % 22.90/6.13 |-Branch one: % 22.90/6.13 | (2040) ~ (all_0_4_4 = e1) % 22.90/6.13 | % 22.90/6.13 | Instantiating formula (58) with e2, e3, all_0_4_4, e1 and discharging atoms op(e2, e3) = all_0_4_4, op(e2, e3) = e1, yields: % 22.90/6.13 | (2041) all_0_4_4 = e1 % 22.90/6.13 | % 22.90/6.13 | Equations (2041) can reduce 2040 to: % 22.90/6.13 | (188) $false % 22.90/6.13 | % 22.90/6.13 |-The branch is then unsatisfiable % 22.90/6.13 |-Branch two: % 22.90/6.13 | (2041) all_0_4_4 = e1 % 22.90/6.13 | (4436) ~ (all_0_5_5 = e3) | ~ (all_0_29_29 = e0) % 22.90/6.13 | % 22.90/6.13 +-Applying beta-rule and splitting (4436), into two cases. % 22.90/6.13 |-Branch one: % 22.90/6.13 | (4437) ~ (all_0_5_5 = e3) % 22.90/6.13 | % 22.90/6.13 | Equations (4430) can reduce 4437 to: % 22.90/6.13 | (188) $false % 22.90/6.13 | % 22.90/6.13 |-The branch is then unsatisfiable % 22.90/6.13 |-Branch two: % 22.90/6.13 | (4430) all_0_5_5 = e3 % 22.90/6.13 | (286) ~ (all_0_29_29 = e0) % 22.90/6.13 | % 22.90/6.13 | Equations (306) can reduce 286 to: % 22.90/6.13 | (188) $false % 22.90/6.13 | % 22.90/6.13 |-The branch is then unsatisfiable % 22.90/6.13 |-Branch two: % 22.90/6.13 | (518) ~ (all_0_28_28 = e1) % 22.90/6.13 | (519) all_0_29_29 = e1 | all_0_30_30 = e1 | all_0_31_31 = e1 % 22.90/6.13 | % 22.90/6.13 +-Applying beta-rule and splitting (113), into two cases. % 22.90/6.13 |-Branch one: % 22.90/6.13 | (694) all_0_24_24 = e1 % 22.90/6.13 | % 22.90/6.13 | Combining equations (694,221) yields a new equation: % 22.90/6.13 | (387) e3 = e1 % 22.90/6.13 | % 22.90/6.13 | Equations (387) can reduce 74 to: % 22.90/6.13 | (188) $false % 22.90/6.13 | % 22.90/6.13 |-The branch is then unsatisfiable % 22.90/6.13 |-Branch two: % 22.90/6.13 | (218) ~ (all_0_24_24 = e1) % 22.90/6.13 | (699) all_0_28_28 = e1 | all_0_32_32 = e1 | all_0_36_36 = e1 % 22.90/6.13 | % 22.90/6.13 +-Applying beta-rule and splitting (699), into two cases. % 22.90/6.13 |-Branch one: % 22.90/6.13 | (348) all_0_28_28 = e1 % 22.90/6.13 | % 22.90/6.13 | Equations (348) can reduce 518 to: % 22.90/6.13 | (188) $false % 22.90/6.13 | % 22.90/6.13 |-The branch is then unsatisfiable % 22.90/6.13 |-Branch two: % 22.90/6.13 | (518) ~ (all_0_28_28 = e1) % 22.90/6.13 | (1003) all_0_32_32 = e1 | all_0_36_36 = e1 % 22.90/6.13 | % 22.90/6.13 +-Applying beta-rule and splitting (1003), into two cases. % 22.90/6.13 |-Branch one: % 22.90/6.13 | (438) all_0_32_32 = e1 % 22.90/6.13 | % 22.90/6.13 | Combining equations (405,438) yields a new equation: % 22.90/6.13 | (484) e2 = e1 % 22.90/6.13 | % 22.90/6.13 | Simplifying 484 yields: % 22.90/6.13 | (343) e2 = e1 % 22.90/6.13 | % 22.90/6.13 | Equations (343) can reduce 128 to: % 22.90/6.13 | (188) $false % 22.90/6.13 | % 22.90/6.13 |-The branch is then unsatisfiable % 22.90/6.13 |-Branch two: % 22.90/6.13 | (350) ~ (all_0_32_32 = e1) % 22.90/6.13 | (445) all_0_36_36 = e1 % 22.90/6.13 | % 22.90/6.13 | Combining equations (1232,445) yields a new equation: % 22.90/6.13 | (379) e1 = e0 % 22.90/6.13 | % 22.90/6.13 | Equations (379) can reduce 153 to: % 22.90/6.13 | (188) $false % 22.90/6.13 | % 22.90/6.13 |-The branch is then unsatisfiable % 22.90/6.13 |-Branch two: % 22.90/6.13 | (428) ~ (all_0_32_32 = e2) % 22.90/6.13 | (429) all_0_33_33 = e2 | all_0_34_34 = e2 | all_0_35_35 = e2 % 22.90/6.13 | % 22.90/6.13 +-Applying beta-rule and splitting (429), into two cases. % 22.90/6.13 |-Branch one: % 22.90/6.13 | (810) all_0_33_33 = e2 % 22.90/6.13 | % 22.90/6.13 | Combining equations (810,374) yields a new equation: % 22.90/6.13 | (333) e3 = e2 % 22.90/6.13 | % 22.90/6.13 | Equations (333) can reduce 62 to: % 22.90/6.13 | (188) $false % 22.90/6.13 | % 22.90/6.13 |-The branch is then unsatisfiable % 22.90/6.13 |-Branch two: % 22.90/6.13 | (813) ~ (all_0_33_33 = e2) % 22.90/6.13 | (1658) all_0_34_34 = e2 | all_0_35_35 = e2 % 22.90/6.13 | % 22.90/6.13 +-Applying beta-rule and splitting (1658), into two cases. % 22.90/6.13 |-Branch one: % 22.90/6.13 | (252) all_0_34_34 = e2 % 22.90/6.13 | % 22.90/6.13 | Equations (252) can reduce 247 to: % 22.90/6.13 | (188) $false % 22.90/6.13 | % 22.90/6.13 |-The branch is then unsatisfiable % 22.90/6.13 |-Branch two: % 22.90/6.13 | (247) ~ (all_0_34_34 = e2) % 22.90/6.13 | (394) all_0_35_35 = e2 % 22.90/6.13 | % 22.90/6.13 | Equations (394) can reduce 319 to: % 22.90/6.13 | (188) $false % 22.90/6.13 | % 22.90/6.13 |-The branch is then unsatisfiable % 22.90/6.13 |-Branch two: % 22.90/6.13 | (359) ~ (all_0_33_33 = e3) % 22.90/6.13 | (377) all_0_37_37 = e3 % 22.90/6.13 | % 22.90/6.13 | Equations (377) can reduce 481 to: % 22.90/6.13 | (188) $false % 22.90/6.13 | % 22.90/6.13 |-The branch is then unsatisfiable % 22.90/6.13 |-Branch two: % 22.90/6.13 | (556) ~ (all_0_30_30 = e3) % 22.90/6.13 | (416) all_0_31_31 = e3 % 22.90/6.13 | % 22.90/6.13 | Equations (416) can reduce 419 to: % 22.90/6.13 | (188) $false % 22.90/6.13 | % 22.90/6.13 |-The branch is then unsatisfiable % 22.90/6.13 |-Branch two: % 22.90/6.13 | (287) all_0_29_29 = e3 % 22.90/6.13 | (849) all_0_28_28 = e2 % 22.90/6.13 | % 22.90/6.13 | Equations (287) can reduce 47 to: % 22.90/6.13 | (223) ~ (all_0_25_25 = e3) % 22.90/6.13 | % 22.90/6.13 | Equations (849) can reduce 159 to: % 22.90/6.13 | (551) ~ (all_0_30_30 = e2) % 22.90/6.13 | % 22.90/6.13 | Simplifying 551 yields: % 22.90/6.13 | (552) ~ (all_0_30_30 = e2) % 22.90/6.13 | % 22.90/6.13 | Equations (849) can reduce 95 to: % 22.90/6.13 | (1047) ~ (all_0_32_32 = e2) % 22.90/6.13 | % 22.90/6.13 | Simplifying 1047 yields: % 22.90/6.13 | (428) ~ (all_0_32_32 = e2) % 22.90/6.13 | % 22.90/6.13 | Equations (849) can reduce 311 to: % 22.90/6.13 | (87) ~ (e2 = e0) % 22.90/6.13 | % 22.90/6.13 | Equations (287) can reduce 133 to: % 22.90/6.13 | (1053) ~ (all_0_30_30 = e3) % 22.90/6.13 | % 22.90/6.13 | Simplifying 1053 yields: % 22.90/6.13 | (556) ~ (all_0_30_30 = e3) % 22.90/6.13 | % 22.90/6.13 | Equations (287) can reduce 53 to: % 22.90/6.13 | (711) ~ (all_0_31_31 = e3) % 22.90/6.13 | % 22.90/6.13 | Simplifying 711 yields: % 22.90/6.13 | (419) ~ (all_0_31_31 = e3) % 22.90/6.13 | % 22.90/6.13 | Equations (287) can reduce 35 to: % 22.90/6.13 | (1388) ~ (all_0_37_37 = e3) % 22.90/6.13 | % 22.90/6.13 | Simplifying 1388 yields: % 22.90/6.13 | (481) ~ (all_0_37_37 = e3) % 22.90/6.13 | % 22.90/6.13 | From (849) and (175) follows: % 22.90/6.13 | (4493) op(e3, e2) = all_0_12_12 % 22.90/6.13 | % 22.90/6.13 +-Applying beta-rule and splitting (124), into two cases. % 22.90/6.13 |-Branch one: % 22.90/6.13 | (408) all_0_32_32 = e3 % 22.90/6.13 | % 22.90/6.13 | Equations (408) can reduce 231 to: % 22.90/6.13 | (188) $false % 22.90/6.13 | % 22.90/6.13 |-The branch is then unsatisfiable % 22.90/6.13 |-Branch two: % 22.90/6.13 | (231) ~ (all_0_32_32 = e3) % 22.90/6.13 | (433) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0 % 22.90/6.13 | % 22.90/6.13 +-Applying beta-rule and splitting (433), into two cases. % 22.90/6.13 |-Branch one: % 22.90/6.13 | (405) all_0_32_32 = e2 % 22.90/6.13 | % 22.90/6.13 | Equations (405) can reduce 428 to: % 22.90/6.13 | (188) $false % 22.90/6.13 | % 22.90/6.13 |-The branch is then unsatisfiable % 22.90/6.13 |-Branch two: % 22.90/6.13 | (428) ~ (all_0_32_32 = e2) % 22.90/6.13 | (437) all_0_32_32 = e1 | all_0_32_32 = e0 % 22.90/6.13 | % 22.90/6.13 +-Applying beta-rule and splitting (174), into two cases. % 22.90/6.13 |-Branch one: % 22.90/6.13 | (543) all_0_26_26 = e3 % 22.90/6.13 | % 22.90/6.13 | Equations (543) can reduce 225 to: % 22.90/6.13 | (188) $false % 22.90/6.13 | % 22.90/6.13 |-The branch is then unsatisfiable % 22.90/6.13 |-Branch two: % 22.90/6.13 | (225) ~ (all_0_26_26 = e3) % 22.90/6.13 | (683) all_0_30_30 = e3 | all_0_34_34 = e3 | all_0_38_38 = e3 % 22.90/6.13 | % 22.90/6.13 +-Applying beta-rule and splitting (437), into two cases. % 22.90/6.13 |-Branch one: % 22.90/6.13 | (438) all_0_32_32 = e1 % 22.90/6.13 | % 22.90/6.13 | Equations (438) can reduce 2 to: % 22.90/6.13 | (2305) ~ (all_0_33_33 = e1) % 22.90/6.13 | % 22.90/6.13 | Simplifying 2305 yields: % 22.90/6.13 | (259) ~ (all_0_33_33 = e1) % 22.90/6.13 | % 22.90/6.13 | Equations (438) can reduce 166 to: % 22.90/6.13 | (1194) ~ (all_0_34_34 = e1) % 22.90/6.13 | % 22.90/6.13 | Simplifying 1194 yields: % 22.90/6.13 | (619) ~ (all_0_34_34 = e1) % 22.90/6.13 | % 22.90/6.13 | Equations (438) can reduce 89 to: % 22.90/6.13 | (260) ~ (all_0_35_35 = e1) % 22.90/6.13 | % 22.90/6.13 | Simplifying 260 yields: % 22.90/6.13 | (261) ~ (all_0_35_35 = e1) % 22.90/6.13 | % 22.90/6.13 | Equations (438) can reduce 428 to: % 22.90/6.13 | (264) ~ (e2 = e1) % 22.90/6.13 | % 22.90/6.13 | Simplifying 264 yields: % 22.90/6.13 | (128) ~ (e2 = e1) % 22.90/6.13 | % 22.90/6.13 | Equations (438) can reduce 403 to: % 22.90/6.13 | (153) ~ (e1 = e0) % 22.90/6.13 | % 22.90/6.13 | From (438) and (75) follows: % 22.90/6.13 | (4516) op(e3, e1) = all_0_16_16 % 22.90/6.13 | % 22.90/6.13 +-Applying beta-rule and splitting (146), into two cases. % 22.90/6.13 |-Branch one: % 22.90/6.13 | (245) ~ (all_0_34_34 = e0) % 22.90/6.13 | % 22.90/6.13 +-Applying beta-rule and splitting (683), into two cases. % 22.90/6.13 |-Branch one: % 22.90/6.13 | (561) all_0_30_30 = e3 % 22.90/6.13 | % 22.90/6.13 | Equations (561) can reduce 556 to: % 22.90/6.13 | (188) $false % 22.90/6.13 | % 22.90/6.13 |-The branch is then unsatisfiable % 22.90/6.13 |-Branch two: % 22.90/6.13 | (556) ~ (all_0_30_30 = e3) % 22.90/6.13 | (941) all_0_34_34 = e3 | all_0_38_38 = e3 % 22.90/6.13 | % 22.90/6.13 +-Applying beta-rule and splitting (941), into two cases. % 22.90/6.13 |-Branch one: % 22.90/6.13 | (248) all_0_34_34 = e3 % 22.90/6.13 | % 22.90/6.13 | Equations (248) can reduce 131 to: % 22.90/6.13 | (225) ~ (all_0_26_26 = e3) % 22.90/6.13 | % 22.90/6.13 | Equations (248) can reduce 139 to: % 22.90/6.13 | (556) ~ (all_0_30_30 = e3) % 22.90/6.13 | % 22.90/6.13 | Equations (248) can reduce 20 to: % 22.90/6.13 | (359) ~ (all_0_33_33 = e3) % 22.90/6.13 | % 22.90/6.13 | Equations (248) can reduce 49 to: % 22.90/6.13 | (1903) ~ (all_0_35_35 = e3) % 22.90/6.13 | % 22.90/6.13 | Simplifying 1903 yields: % 22.90/6.13 | (389) ~ (all_0_35_35 = e3) % 22.90/6.13 | % 22.90/6.13 | Equations (248) can reduce 105 to: % 22.90/6.13 | (673) ~ (all_0_38_38 = e3) % 22.90/6.13 | % 22.90/6.13 | Simplifying 673 yields: % 22.90/6.13 | (499) ~ (all_0_38_38 = e3) % 22.90/6.13 | % 22.90/6.13 | Equations (248) can reduce 247 to: % 22.90/6.13 | (62) ~ (e3 = e2) % 22.90/6.13 | % 22.90/6.13 | Equations (248) can reduce 619 to: % 22.90/6.13 | (74) ~ (e3 = e1) % 22.90/6.13 | % 22.90/6.13 | Equations (248) can reduce 245 to: % 22.90/6.13 | (79) ~ (e3 = e0) % 22.90/6.13 | % 22.90/6.13 | Instantiating formula (58) with e3, e2, all_0_12_12, all_0_25_25 and discharging atoms op(e3, e2) = all_0_12_12, op(e3, e2) = all_0_25_25, yields: % 22.90/6.13 | (4533) all_0_12_12 = all_0_25_25 % 22.90/6.13 | % 22.90/6.13 | Instantiating formula (58) with e3, e1, all_0_16_16, all_0_26_26 and discharging atoms op(e3, e1) = all_0_16_16, op(e3, e1) = all_0_26_26, yields: % 22.90/6.13 | (4534) all_0_16_16 = all_0_26_26 % 22.90/6.13 | % 22.90/6.13 +-Applying beta-rule and splitting (16), into two cases. % 22.90/6.13 |-Branch one: % 22.90/6.13 | (348) all_0_28_28 = e1 % 22.90/6.13 | % 22.90/6.13 | Combining equations (348,849) yields a new equation: % 22.90/6.13 | (343) e2 = e1 % 22.90/6.13 | % 22.90/6.13 | Equations (343) can reduce 128 to: % 22.90/6.13 | (188) $false % 22.90/6.13 | % 22.90/6.13 |-The branch is then unsatisfiable % 22.90/6.13 |-Branch two: % 22.90/6.13 | (518) ~ (all_0_28_28 = e1) % 22.90/6.13 | (519) all_0_29_29 = e1 | all_0_30_30 = e1 | all_0_31_31 = e1 % 22.90/6.13 | % 22.90/6.13 | Equations (849) can reduce 518 to: % 22.90/6.13 | (128) ~ (e2 = e1) % 22.90/6.13 | % 22.90/6.13 +-Applying beta-rule and splitting (94), into two cases. % 22.90/6.13 |-Branch one: % 22.90/6.13 | (758) all_0_25_25 = e0 % 22.90/6.13 | % 22.90/6.13 | Equations (758) can reduce 71 to: % 22.90/6.13 | (1891) ~ (all_0_26_26 = e0) % 22.90/6.13 | % 22.90/6.13 | Simplifying 1891 yields: % 22.90/6.13 | (541) ~ (all_0_26_26 = e0) % 22.90/6.13 | % 22.90/6.13 | Equations (758) can reduce 130 to: % 22.90/6.13 | (322) ~ (all_0_27_27 = e0) % 22.90/6.13 | % 22.90/6.13 | Simplifying 322 yields: % 22.90/6.13 | (199) ~ (all_0_27_27 = e0) % 22.90/6.13 | % 22.90/6.13 | Equations (758) can reduce 114 to: % 22.90/6.13 | (2274) ~ (all_0_33_33 = e0) % 22.90/6.13 | % 22.90/6.13 | Simplifying 2274 yields: % 22.90/6.13 | (885) ~ (all_0_33_33 = e0) % 22.90/6.13 | % 22.90/6.13 | Equations (758) can reduce 223 to: % 22.90/6.13 | (205) ~ (e3 = e0) % 22.90/6.13 | % 22.90/6.13 | Simplifying 205 yields: % 22.90/6.13 | (79) ~ (e3 = e0) % 22.90/6.13 | % 22.90/6.13 +-Applying beta-rule and splitting (56), into two cases. % 22.90/6.13 |-Branch one: % 22.90/6.13 | (321) all_0_26_26 = e0 % 22.90/6.13 | % 22.90/6.13 | Equations (321) can reduce 541 to: % 22.90/6.13 | (188) $false % 22.90/6.13 | % 22.90/6.13 |-The branch is then unsatisfiable % 22.90/6.13 |-Branch two: % 22.90/6.13 | (541) ~ (all_0_26_26 = e0) % 22.90/6.13 | (542) all_0_30_30 = e0 | all_0_34_34 = e0 | all_0_38_38 = e0 % 22.90/6.13 | % 22.90/6.13 +-Applying beta-rule and splitting (542), into two cases. % 22.90/6.13 |-Branch one: % 22.90/6.13 | (557) all_0_30_30 = e0 % 22.90/6.13 | % 22.90/6.13 | Equations (557) can reduce 151 to: % 22.90/6.13 | (541) ~ (all_0_26_26 = e0) % 22.90/6.13 | % 22.90/6.14 | Equations (557) can reduce 168 to: % 22.90/6.14 | (836) ~ (all_0_31_31 = e0) % 22.90/6.14 | % 22.90/6.14 | Simplifying 836 yields: % 22.90/6.14 | (200) ~ (all_0_31_31 = e0) % 22.90/6.14 | % 22.90/6.14 | Equations (557) can reduce 15 to: % 22.90/6.14 | (1337) ~ (all_0_38_38 = e0) % 22.90/6.14 | % 22.90/6.14 | Simplifying 1337 yields: % 22.90/6.14 | (204) ~ (all_0_38_38 = e0) % 22.90/6.14 | % 22.90/6.14 | Equations (557) can reduce 556 to: % 22.90/6.14 | (205) ~ (e3 = e0) % 22.90/6.14 | % 22.90/6.14 | Simplifying 205 yields: % 22.90/6.14 | (79) ~ (e3 = e0) % 22.90/6.14 | % 22.90/6.14 | From (557) and (21) follows: % 22.90/6.14 | (1935) op(e1, e0) = all_0_14_14 % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (10), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (416) all_0_31_31 = e3 % 22.90/6.14 | % 22.90/6.14 | Equations (416) can reduce 419 to: % 22.90/6.14 | (188) $false % 22.90/6.14 | % 22.90/6.14 |-The branch is then unsatisfiable % 22.90/6.14 |-Branch two: % 22.90/6.14 | (419) ~ (all_0_31_31 = e3) % 22.90/6.14 | (967) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0 % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (519), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (303) all_0_29_29 = e1 % 22.90/6.14 | % 22.90/6.14 | Combining equations (303,287) yields a new equation: % 22.90/6.14 | (387) e3 = e1 % 22.90/6.14 | % 22.90/6.14 | Equations (387) can reduce 74 to: % 22.90/6.14 | (188) $false % 22.90/6.14 | % 22.90/6.14 |-The branch is then unsatisfiable % 22.90/6.14 |-Branch two: % 22.90/6.14 | (183) ~ (all_0_29_29 = e1) % 22.90/6.14 | (524) all_0_30_30 = e1 | all_0_31_31 = e1 % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (524), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (525) all_0_30_30 = e1 % 22.90/6.14 | % 22.90/6.14 | Combining equations (557,525) yields a new equation: % 22.90/6.14 | (379) e1 = e0 % 22.90/6.14 | % 22.90/6.14 | Equations (379) can reduce 153 to: % 22.90/6.14 | (188) $false % 22.90/6.14 | % 22.90/6.14 |-The branch is then unsatisfiable % 22.90/6.14 |-Branch two: % 22.90/6.14 | (258) ~ (all_0_30_30 = e1) % 22.90/6.14 | (483) all_0_31_31 = e1 % 22.90/6.14 | % 22.90/6.14 | Equations (483) can reduce 119 to: % 22.90/6.14 | (443) ~ (all_0_27_27 = e1) % 22.90/6.14 | % 22.90/6.14 | Equations (483) can reduce 419 to: % 22.90/6.14 | (691) ~ (e3 = e1) % 22.90/6.14 | % 22.90/6.14 | Simplifying 691 yields: % 22.90/6.14 | (74) ~ (e3 = e1) % 22.90/6.14 | % 22.90/6.14 | Equations (483) can reduce 200 to: % 22.90/6.14 | (153) ~ (e1 = e0) % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (141), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (391) all_0_32_32 = e0 % 22.90/6.14 | % 22.90/6.14 | Combining equations (438,391) yields a new equation: % 22.90/6.14 | (510) e1 = e0 % 22.90/6.14 | % 22.90/6.14 | Simplifying 510 yields: % 22.90/6.14 | (379) e1 = e0 % 22.90/6.14 | % 22.90/6.14 | Equations (379) can reduce 153 to: % 22.90/6.14 | (188) $false % 22.90/6.14 | % 22.90/6.14 |-The branch is then unsatisfiable % 22.90/6.14 |-Branch two: % 22.90/6.14 | (403) ~ (all_0_32_32 = e0) % 22.90/6.14 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 22.90/6.14 | % 22.90/6.14 | Equations (438) can reduce 403 to: % 22.90/6.14 | (153) ~ (e1 = e0) % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (96), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (328) all_0_27_27 = e3 % 22.90/6.14 | % 22.90/6.14 | Equations (328) can reduce 227 to: % 22.90/6.14 | (188) $false % 22.90/6.14 | % 22.90/6.14 |-The branch is then unsatisfiable % 22.90/6.14 |-Branch two: % 22.90/6.14 | (227) ~ (all_0_27_27 = e3) % 22.90/6.14 | (922) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0 % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (38), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (930) all_0_27_27 = e0 % 22.90/6.14 | % 22.90/6.14 | Equations (930) can reduce 199 to: % 22.90/6.14 | (188) $false % 22.90/6.14 | % 22.90/6.14 |-The branch is then unsatisfiable % 22.90/6.14 |-Branch two: % 22.90/6.14 | (199) ~ (all_0_27_27 = e0) % 22.90/6.14 | (4595) all_0_31_31 = e0 | all_0_35_35 = e0 | all_0_39_39 = e0 % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (22), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (342) all_0_25_25 = e1 % 22.90/6.14 | % 22.90/6.14 | Combining equations (758,342) yields a new equation: % 22.90/6.14 | (379) e1 = e0 % 22.90/6.14 | % 22.90/6.14 | Equations (379) can reduce 153 to: % 22.90/6.14 | (188) $false % 22.90/6.14 | % 22.90/6.14 |-The branch is then unsatisfiable % 22.90/6.14 |-Branch two: % 22.90/6.14 | (345) ~ (all_0_25_25 = e1) % 22.90/6.14 | (346) all_0_29_29 = e1 | all_0_33_33 = e1 | all_0_37_37 = e1 % 22.90/6.14 | % 22.90/6.14 | Equations (758) can reduce 345 to: % 22.90/6.14 | (209) ~ (e1 = e0) % 22.90/6.14 | % 22.90/6.14 | Simplifying 209 yields: % 22.90/6.14 | (153) ~ (e1 = e0) % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (126), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (694) all_0_24_24 = e1 % 22.90/6.14 | % 22.90/6.14 | Combining equations (694,221) yields a new equation: % 22.90/6.14 | (387) e3 = e1 % 22.90/6.14 | % 22.90/6.14 | Equations (387) can reduce 74 to: % 22.90/6.14 | (188) $false % 22.90/6.14 | % 22.90/6.14 |-The branch is then unsatisfiable % 22.90/6.14 |-Branch two: % 22.90/6.14 | (218) ~ (all_0_24_24 = e1) % 22.90/6.14 | (946) all_0_25_25 = e1 | all_0_26_26 = e1 | all_0_27_27 = e1 % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (33), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (374) all_0_33_33 = e3 % 22.90/6.14 | % 22.90/6.14 | Equations (374) can reduce 359 to: % 22.90/6.14 | (188) $false % 22.90/6.14 | % 22.90/6.14 |-The branch is then unsatisfiable % 22.90/6.14 |-Branch two: % 22.90/6.14 | (359) ~ (all_0_33_33 = e3) % 22.90/6.14 | (2357) all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0 % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (922), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (539) all_0_27_27 = e2 % 22.90/6.14 | % 22.90/6.14 | Equations (539) can reduce 18 to: % 22.90/6.14 | (538) ~ (all_0_26_26 = e2) % 22.90/6.14 | % 22.90/6.14 | Equations (539) can reduce 7 to: % 22.90/6.14 | (318) ~ (all_0_35_35 = e2) % 22.90/6.14 | % 22.90/6.14 | Simplifying 318 yields: % 22.90/6.14 | (319) ~ (all_0_35_35 = e2) % 22.90/6.14 | % 22.90/6.14 | Equations (539) can reduce 227 to: % 22.90/6.14 | (340) ~ (e3 = e2) % 22.90/6.14 | % 22.90/6.14 | Simplifying 340 yields: % 22.90/6.14 | (62) ~ (e3 = e2) % 22.90/6.14 | % 22.90/6.14 | Equations (539) can reduce 443 to: % 22.90/6.14 | (128) ~ (e2 = e1) % 22.90/6.14 | % 22.90/6.14 | Equations (539) can reduce 199 to: % 22.90/6.14 | (87) ~ (e2 = e0) % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (14), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (405) all_0_32_32 = e2 % 22.90/6.14 | % 22.90/6.14 | Combining equations (405,438) yields a new equation: % 22.90/6.14 | (484) e2 = e1 % 22.90/6.14 | % 22.90/6.14 | Simplifying 484 yields: % 22.90/6.14 | (343) e2 = e1 % 22.90/6.14 | % 22.90/6.14 | Equations (343) can reduce 128 to: % 22.90/6.14 | (188) $false % 22.90/6.14 | % 22.90/6.14 |-The branch is then unsatisfiable % 22.90/6.14 |-Branch two: % 22.90/6.14 | (428) ~ (all_0_32_32 = e2) % 22.90/6.14 | (429) all_0_33_33 = e2 | all_0_34_34 = e2 | all_0_35_35 = e2 % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (404), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (882) all_0_33_33 = e0 % 22.90/6.14 | % 22.90/6.14 | Equations (882) can reduce 885 to: % 22.90/6.14 | (188) $false % 22.90/6.14 | % 22.90/6.14 |-The branch is then unsatisfiable % 22.90/6.14 |-Branch two: % 22.90/6.14 | (885) ~ (all_0_33_33 = e0) % 22.90/6.14 | (1032) all_0_34_34 = e0 | all_0_35_35 = e0 % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (429), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (810) all_0_33_33 = e2 % 22.90/6.14 | % 22.90/6.14 | Equations (810) can reduce 359 to: % 22.90/6.14 | (340) ~ (e3 = e2) % 22.90/6.14 | % 22.90/6.14 | Simplifying 340 yields: % 22.90/6.14 | (62) ~ (e3 = e2) % 22.90/6.14 | % 22.90/6.14 | Equations (810) can reduce 885 to: % 22.90/6.14 | (87) ~ (e2 = e0) % 22.90/6.14 | % 22.90/6.14 | From (810) and (3) follows: % 22.90/6.14 | (4634) op(e1, e2) = e2 % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (98), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (732) all_0_36_36 = e2 % 22.90/6.14 | % 22.90/6.14 | Combining equations (1232,732) yields a new equation: % 22.90/6.14 | (536) e2 = e0 % 22.90/6.14 | % 22.90/6.14 | Equations (536) can reduce 87 to: % 22.90/6.14 | (188) $false % 22.90/6.14 | % 22.90/6.14 |-The branch is then unsatisfiable % 22.90/6.14 |-Branch two: % 22.90/6.14 | (828) ~ (all_0_36_36 = e2) % 22.90/6.14 | (829) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2 % 22.90/6.14 | % 22.90/6.14 | Equations (1232) can reduce 828 to: % 22.90/6.14 | (207) ~ (e2 = e0) % 22.90/6.14 | % 22.90/6.14 | Simplifying 207 yields: % 22.90/6.14 | (87) ~ (e2 = e0) % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (70), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (543) all_0_26_26 = e3 % 22.90/6.14 | % 22.90/6.14 | Equations (543) can reduce 225 to: % 22.90/6.14 | (188) $false % 22.90/6.14 | % 22.90/6.14 |-The branch is then unsatisfiable % 22.90/6.14 |-Branch two: % 22.90/6.14 | (225) ~ (all_0_26_26 = e3) % 22.90/6.14 | (546) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0 % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (6), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (534) all_0_26_26 = e2 % 22.90/6.14 | % 22.90/6.14 | Equations (534) can reduce 538 to: % 22.90/6.14 | (188) $false % 22.90/6.14 | % 22.90/6.14 |-The branch is then unsatisfiable % 22.90/6.14 |-Branch two: % 22.90/6.14 | (538) ~ (all_0_26_26 = e2) % 22.90/6.14 | (1441) all_0_30_30 = e2 | all_0_34_34 = e2 | all_0_38_38 = e2 % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (546), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (534) all_0_26_26 = e2 % 22.90/6.14 | % 22.90/6.14 | Equations (534) can reduce 538 to: % 22.90/6.14 | (188) $false % 22.90/6.14 | % 22.90/6.14 |-The branch is then unsatisfiable % 22.90/6.14 |-Branch two: % 22.90/6.14 | (538) ~ (all_0_26_26 = e2) % 22.90/6.14 | (586) all_0_26_26 = e1 | all_0_26_26 = e0 % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (1441), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (565) all_0_30_30 = e2 % 22.90/6.14 | % 22.90/6.14 | Combining equations (557,565) yields a new equation: % 22.90/6.14 | (536) e2 = e0 % 22.90/6.14 | % 22.90/6.14 | Equations (536) can reduce 87 to: % 22.90/6.14 | (188) $false % 22.90/6.14 | % 22.90/6.14 |-The branch is then unsatisfiable % 22.90/6.14 |-Branch two: % 22.90/6.14 | (552) ~ (all_0_30_30 = e2) % 22.90/6.14 | (1454) all_0_34_34 = e2 | all_0_38_38 = e2 % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (586), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (587) all_0_26_26 = e1 % 22.90/6.14 | % 22.90/6.14 | Combining equations (587,4534) yields a new equation: % 22.90/6.14 | (3419) all_0_16_16 = e1 % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (1032), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (620) all_0_34_34 = e0 % 22.90/6.14 | % 22.90/6.14 | Combining equations (248,620) yields a new equation: % 22.90/6.14 | (425) e3 = e0 % 22.90/6.14 | % 22.90/6.14 | Simplifying 425 yields: % 22.90/6.14 | (370) e3 = e0 % 22.90/6.14 | % 22.90/6.14 | Equations (370) can reduce 79 to: % 22.90/6.14 | (188) $false % 22.90/6.14 | % 22.90/6.14 |-The branch is then unsatisfiable % 22.90/6.14 |-Branch two: % 22.90/6.14 | (245) ~ (all_0_34_34 = e0) % 22.90/6.14 | (401) all_0_35_35 = e0 % 22.90/6.14 | % 22.90/6.14 | From (401) and (88) follows: % 22.90/6.14 | (4667) op(e1, e0) = e0 % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (1454), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (252) all_0_34_34 = e2 % 22.90/6.14 | % 22.90/6.14 | Combining equations (252,248) yields a new equation: % 22.90/6.14 | (333) e3 = e2 % 22.90/6.14 | % 22.90/6.14 | Equations (333) can reduce 62 to: % 22.90/6.14 | (188) $false % 22.90/6.14 | % 22.90/6.14 |-The branch is then unsatisfiable % 22.90/6.14 |-Branch two: % 22.90/6.14 | (247) ~ (all_0_34_34 = e2) % 22.90/6.14 | (576) all_0_38_38 = e2 % 22.90/6.14 | % 22.90/6.14 | From (576) and (152) follows: % 22.90/6.14 | (3294) op(e1, e2) = all_0_22_22 % 22.90/6.14 | % 22.90/6.14 | Instantiating formula (58) with e1, e2, e2, all_0_22_22 and discharging atoms op(e1, e2) = all_0_22_22, op(e1, e2) = e2, yields: % 22.90/6.14 | (4674) all_0_22_22 = e2 % 22.90/6.14 | % 22.90/6.14 | Instantiating formula (58) with e1, e0, e0, all_0_14_14 and discharging atoms op(e1, e0) = all_0_14_14, op(e1, e0) = e0, yields: % 22.90/6.14 | (4675) all_0_14_14 = e0 % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (48), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (273) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) | ( ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35)) % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (273), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (274) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (274), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (275) ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27) % 22.90/6.14 | % 22.90/6.14 | Applying alpha-rule on (275) yields: % 22.90/6.14 | (276) ~ (all_0_8_8 = all_0_24_24) % 22.90/6.14 | (277) ~ (all_0_9_9 = all_0_25_25) % 22.90/6.14 | (278) ~ (all_0_10_10 = all_0_26_26) % 22.90/6.14 | (279) ~ (all_0_11_11 = all_0_27_27) % 22.90/6.14 | % 22.90/6.14 | Equations (243,221) can reduce 276 to: % 22.90/6.14 | (188) $false % 22.90/6.14 | % 22.90/6.14 |-The branch is then unsatisfiable % 22.90/6.14 |-Branch two: % 22.90/6.14 | (281) ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31) % 22.90/6.14 | % 22.90/6.14 | Applying alpha-rule on (281) yields: % 22.90/6.14 | (282) ~ (all_0_12_12 = all_0_28_28) % 22.90/6.14 | (283) ~ (all_0_13_13 = all_0_29_29) % 22.90/6.14 | (284) ~ (all_0_14_14 = all_0_30_30) % 22.90/6.14 | (285) ~ (all_0_15_15 = all_0_31_31) % 22.90/6.14 | % 22.90/6.14 | Equations (4675,557) can reduce 284 to: % 22.90/6.14 | (188) $false % 22.90/6.14 | % 22.90/6.14 |-The branch is then unsatisfiable % 22.90/6.14 |-Branch two: % 22.90/6.14 | (607) ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35) % 22.90/6.14 | % 22.90/6.14 | Applying alpha-rule on (607) yields: % 22.90/6.14 | (608) ~ (all_0_16_16 = all_0_32_32) % 22.90/6.14 | (609) ~ (all_0_17_17 = all_0_33_33) % 22.90/6.14 | (610) ~ (all_0_18_18 = all_0_34_34) % 22.90/6.14 | (611) ~ (all_0_19_19 = all_0_35_35) % 22.90/6.14 | % 22.90/6.14 | Equations (3419,438) can reduce 608 to: % 22.90/6.14 | (188) $false % 22.90/6.14 | % 22.90/6.14 |-The branch is then unsatisfiable % 22.90/6.14 |-Branch two: % 22.90/6.14 | (613) ~ (all_0_20_20 = all_0_36_36) & ~ (all_0_21_21 = all_0_37_37) & ~ (all_0_22_22 = all_0_38_38) & ~ (all_0_23_23 = all_0_39_39) % 22.90/6.14 | % 22.90/6.14 | Applying alpha-rule on (613) yields: % 22.90/6.14 | (614) ~ (all_0_20_20 = all_0_36_36) % 22.90/6.14 | (615) ~ (all_0_21_21 = all_0_37_37) % 22.90/6.14 | (616) ~ (all_0_22_22 = all_0_38_38) % 22.90/6.14 | (617) ~ (all_0_23_23 = all_0_39_39) % 22.90/6.14 | % 22.90/6.14 | Equations (4674,576) can reduce 616 to: % 22.90/6.14 | (188) $false % 22.90/6.14 | % 22.90/6.14 |-The branch is then unsatisfiable % 22.90/6.14 |-Branch two: % 22.90/6.14 | (257) ~ (all_0_26_26 = e1) % 22.90/6.14 | (321) all_0_26_26 = e0 % 22.90/6.14 | % 22.90/6.14 | Equations (321) can reduce 541 to: % 22.90/6.14 | (188) $false % 22.90/6.14 | % 22.90/6.14 |-The branch is then unsatisfiable % 22.90/6.14 |-Branch two: % 22.90/6.14 | (813) ~ (all_0_33_33 = e2) % 22.90/6.14 | (1658) all_0_34_34 = e2 | all_0_35_35 = e2 % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (85), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (337) all_0_25_25 = e2 % 22.90/6.14 | % 22.90/6.14 | Combining equations (758,337) yields a new equation: % 22.90/6.14 | (536) e2 = e0 % 22.90/6.14 | % 22.90/6.14 | Equations (536) can reduce 87 to: % 22.90/6.14 | (188) $false % 22.90/6.14 | % 22.90/6.14 |-The branch is then unsatisfiable % 22.90/6.14 |-Branch two: % 22.90/6.14 | (532) ~ (all_0_25_25 = e2) % 22.90/6.14 | (805) all_0_29_29 = e2 | all_0_33_33 = e2 | all_0_37_37 = e2 % 22.90/6.14 | % 22.90/6.14 +-Applying beta-rule and splitting (805), into two cases. % 22.90/6.14 |-Branch one: % 22.90/6.14 | (291) all_0_29_29 = e2 % 22.90/6.14 | % 22.90/6.15 | Combining equations (287,291) yields a new equation: % 22.90/6.15 | (364) e3 = e2 % 22.90/6.15 | % 22.90/6.15 | Simplifying 364 yields: % 22.90/6.15 | (333) e3 = e2 % 22.90/6.15 | % 22.90/6.15 | Equations (333) can reduce 62 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (301) ~ (all_0_29_29 = e2) % 22.90/6.15 | (809) all_0_33_33 = e2 | all_0_37_37 = e2 % 22.90/6.15 | % 22.90/6.15 | Equations (287) can reduce 301 to: % 22.90/6.15 | (62) ~ (e3 = e2) % 22.90/6.15 | % 22.90/6.15 +-Applying beta-rule and splitting (1032), into two cases. % 22.90/6.15 |-Branch one: % 22.90/6.15 | (620) all_0_34_34 = e0 % 22.90/6.15 | % 22.90/6.15 | Combining equations (248,620) yields a new equation: % 22.90/6.15 | (425) e3 = e0 % 22.90/6.15 | % 22.90/6.15 | Simplifying 425 yields: % 22.90/6.15 | (370) e3 = e0 % 22.90/6.15 | % 22.90/6.15 | Equations (370) can reduce 79 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (245) ~ (all_0_34_34 = e0) % 22.90/6.15 | (401) all_0_35_35 = e0 % 22.90/6.15 | % 22.90/6.15 | Equations (401) can reduce 319 to: % 22.90/6.15 | (207) ~ (e2 = e0) % 22.90/6.15 | % 22.90/6.15 | Simplifying 207 yields: % 22.90/6.15 | (87) ~ (e2 = e0) % 22.90/6.15 | % 22.90/6.15 +-Applying beta-rule and splitting (6), into two cases. % 22.90/6.15 |-Branch one: % 22.90/6.15 | (534) all_0_26_26 = e2 % 22.90/6.15 | % 22.90/6.15 | Equations (534) can reduce 538 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (538) ~ (all_0_26_26 = e2) % 22.90/6.15 | (1441) all_0_30_30 = e2 | all_0_34_34 = e2 | all_0_38_38 = e2 % 22.90/6.15 | % 22.90/6.15 +-Applying beta-rule and splitting (1441), into two cases. % 22.90/6.15 |-Branch one: % 22.90/6.15 | (565) all_0_30_30 = e2 % 22.90/6.15 | % 22.90/6.15 | Combining equations (557,565) yields a new equation: % 22.90/6.15 | (536) e2 = e0 % 22.90/6.15 | % 22.90/6.15 | Equations (536) can reduce 87 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (552) ~ (all_0_30_30 = e2) % 22.90/6.15 | (1454) all_0_34_34 = e2 | all_0_38_38 = e2 % 22.90/6.15 | % 22.90/6.15 +-Applying beta-rule and splitting (1454), into two cases. % 22.90/6.15 |-Branch one: % 22.90/6.15 | (252) all_0_34_34 = e2 % 22.90/6.15 | % 22.90/6.15 | Combining equations (252,248) yields a new equation: % 22.90/6.15 | (333) e3 = e2 % 22.90/6.15 | % 22.90/6.15 | Equations (333) can reduce 62 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (247) ~ (all_0_34_34 = e2) % 22.90/6.15 | (576) all_0_38_38 = e2 % 22.90/6.15 | % 22.90/6.15 | Equations (576) can reduce 499 to: % 22.90/6.15 | (340) ~ (e3 = e2) % 22.90/6.15 | % 22.90/6.15 | Simplifying 340 yields: % 22.90/6.15 | (62) ~ (e3 = e2) % 22.90/6.15 | % 22.90/6.15 | Equations (576) can reduce 204 to: % 22.90/6.15 | (87) ~ (e2 = e0) % 22.90/6.15 | % 22.90/6.15 +-Applying beta-rule and splitting (1658), into two cases. % 22.90/6.15 |-Branch one: % 22.90/6.15 | (252) all_0_34_34 = e2 % 22.90/6.15 | % 22.90/6.15 | Combining equations (248,252) yields a new equation: % 22.90/6.15 | (364) e3 = e2 % 22.90/6.15 | % 22.90/6.15 | Simplifying 364 yields: % 22.90/6.15 | (333) e3 = e2 % 22.90/6.15 | % 22.90/6.15 | Equations (333) can reduce 62 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (247) ~ (all_0_34_34 = e2) % 22.90/6.15 | (394) all_0_35_35 = e2 % 22.90/6.15 | % 22.90/6.15 | Combining equations (394,401) yields a new equation: % 22.90/6.15 | (535) e2 = e0 % 22.90/6.15 | % 22.90/6.15 | Simplifying 535 yields: % 22.90/6.15 | (536) e2 = e0 % 22.90/6.15 | % 22.90/6.15 | Equations (536) can reduce 87 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (310) ~ (all_0_27_27 = e2) % 22.90/6.15 | (926) all_0_27_27 = e1 | all_0_27_27 = e0 % 22.90/6.15 | % 22.90/6.15 +-Applying beta-rule and splitting (4595), into two cases. % 22.90/6.15 |-Branch one: % 22.90/6.15 | (938) all_0_31_31 = e0 % 22.90/6.15 | % 22.90/6.15 | Combining equations (483,938) yields a new equation: % 22.90/6.15 | (510) e1 = e0 % 22.90/6.15 | % 22.90/6.15 | Simplifying 510 yields: % 22.90/6.15 | (379) e1 = e0 % 22.90/6.15 | % 22.90/6.15 | Equations (379) can reduce 153 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (200) ~ (all_0_31_31 = e0) % 22.90/6.15 | (4760) all_0_35_35 = e0 | all_0_39_39 = e0 % 22.90/6.15 | % 22.90/6.15 | Equations (483) can reduce 200 to: % 22.90/6.15 | (153) ~ (e1 = e0) % 22.90/6.15 | % 22.90/6.15 +-Applying beta-rule and splitting (946), into two cases. % 22.90/6.15 |-Branch one: % 22.90/6.15 | (342) all_0_25_25 = e1 % 22.90/6.15 | % 22.90/6.15 | Combining equations (758,342) yields a new equation: % 22.90/6.15 | (379) e1 = e0 % 22.90/6.15 | % 22.90/6.15 | Equations (379) can reduce 153 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (345) ~ (all_0_25_25 = e1) % 22.90/6.15 | (950) all_0_26_26 = e1 | all_0_27_27 = e1 % 22.90/6.15 | % 22.90/6.15 +-Applying beta-rule and splitting (950), into two cases. % 22.90/6.15 |-Branch one: % 22.90/6.15 | (587) all_0_26_26 = e1 % 22.90/6.15 | % 22.90/6.15 | Equations (587) can reduce 18 to: % 22.90/6.15 | (3584) ~ (all_0_27_27 = e1) % 22.90/6.15 | % 22.90/6.15 | Simplifying 3584 yields: % 22.90/6.15 | (443) ~ (all_0_27_27 = e1) % 22.90/6.15 | % 22.90/6.15 +-Applying beta-rule and splitting (926), into two cases. % 22.90/6.15 |-Branch one: % 22.90/6.15 | (354) all_0_27_27 = e1 % 22.90/6.15 | % 22.90/6.15 | Equations (354) can reduce 443 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (443) ~ (all_0_27_27 = e1) % 22.90/6.15 | (930) all_0_27_27 = e0 % 22.90/6.15 | % 22.90/6.15 | Equations (930) can reduce 199 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (257) ~ (all_0_26_26 = e1) % 22.90/6.15 | (354) all_0_27_27 = e1 % 22.90/6.15 | % 22.90/6.15 | Equations (354) can reduce 443 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (313) ~ (all_0_30_30 = e0) % 22.90/6.15 | (560) all_0_34_34 = e0 | all_0_38_38 = e0 % 22.90/6.15 | % 22.90/6.15 +-Applying beta-rule and splitting (141), into two cases. % 22.90/6.15 |-Branch one: % 22.90/6.15 | (391) all_0_32_32 = e0 % 22.90/6.15 | % 22.90/6.15 | Combining equations (438,391) yields a new equation: % 22.90/6.15 | (510) e1 = e0 % 22.90/6.15 | % 22.90/6.15 | Simplifying 510 yields: % 22.90/6.15 | (379) e1 = e0 % 22.90/6.15 | % 22.90/6.15 | Equations (379) can reduce 153 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (403) ~ (all_0_32_32 = e0) % 22.90/6.15 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 22.90/6.15 | % 22.90/6.15 +-Applying beta-rule and splitting (404), into two cases. % 22.90/6.15 |-Branch one: % 22.90/6.15 | (882) all_0_33_33 = e0 % 22.90/6.15 | % 22.90/6.15 | Equations (882) can reduce 885 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (885) ~ (all_0_33_33 = e0) % 22.90/6.15 | (1032) all_0_34_34 = e0 | all_0_35_35 = e0 % 22.90/6.15 | % 22.90/6.15 +-Applying beta-rule and splitting (1032), into two cases. % 22.90/6.15 |-Branch one: % 22.90/6.15 | (620) all_0_34_34 = e0 % 22.90/6.15 | % 22.90/6.15 | Combining equations (620,248) yields a new equation: % 22.90/6.15 | (370) e3 = e0 % 22.90/6.15 | % 22.90/6.15 | Equations (370) can reduce 79 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (245) ~ (all_0_34_34 = e0) % 22.90/6.15 | (401) all_0_35_35 = e0 % 22.90/6.15 | % 22.90/6.15 | Equations (401) can reduce 389 to: % 22.90/6.15 | (205) ~ (e3 = e0) % 22.90/6.15 | % 22.90/6.15 | Simplifying 205 yields: % 22.90/6.15 | (79) ~ (e3 = e0) % 22.90/6.15 | % 22.90/6.15 +-Applying beta-rule and splitting (560), into two cases. % 22.90/6.15 |-Branch one: % 22.90/6.15 | (620) all_0_34_34 = e0 % 22.90/6.15 | % 22.90/6.15 | Combining equations (248,620) yields a new equation: % 22.90/6.15 | (425) e3 = e0 % 22.90/6.15 | % 22.90/6.15 | Simplifying 425 yields: % 22.90/6.15 | (370) e3 = e0 % 22.90/6.15 | % 22.90/6.15 | Equations (370) can reduce 79 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (245) ~ (all_0_34_34 = e0) % 22.90/6.15 | (583) all_0_38_38 = e0 % 22.90/6.15 | % 22.90/6.15 | Equations (583) can reduce 204 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (726) ~ (all_0_25_25 = e0) % 22.90/6.15 | (762) all_0_29_29 = e0 | all_0_33_33 = e0 | all_0_37_37 = e0 % 22.90/6.15 | % 22.90/6.15 +-Applying beta-rule and splitting (762), into two cases. % 22.90/6.15 |-Branch one: % 22.90/6.15 | (306) all_0_29_29 = e0 % 22.90/6.15 | % 22.90/6.15 | Combining equations (287,306) yields a new equation: % 22.90/6.15 | (425) e3 = e0 % 22.90/6.15 | % 22.90/6.15 | Simplifying 425 yields: % 22.90/6.15 | (370) e3 = e0 % 22.90/6.15 | % 22.90/6.15 | Equations (370) can reduce 79 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (286) ~ (all_0_29_29 = e0) % 22.90/6.15 | (790) all_0_33_33 = e0 | all_0_37_37 = e0 % 22.90/6.15 | % 22.90/6.15 +-Applying beta-rule and splitting (790), into two cases. % 22.90/6.15 |-Branch one: % 22.90/6.15 | (882) all_0_33_33 = e0 % 22.90/6.15 | % 22.90/6.15 | Equations (882) can reduce 114 to: % 22.90/6.15 | (726) ~ (all_0_25_25 = e0) % 22.90/6.15 | % 22.90/6.15 | Equations (882) can reduce 182 to: % 22.90/6.15 | (314) ~ (all_0_37_37 = e0) % 22.90/6.15 | % 22.90/6.15 | Simplifying 314 yields: % 22.90/6.15 | (203) ~ (all_0_37_37 = e0) % 22.90/6.15 | % 22.90/6.15 | Equations (882) can reduce 359 to: % 22.90/6.15 | (205) ~ (e3 = e0) % 22.90/6.15 | % 22.90/6.15 | Simplifying 205 yields: % 22.90/6.15 | (79) ~ (e3 = e0) % 22.90/6.15 | % 22.90/6.15 | Equations (882) can reduce 259 to: % 22.90/6.15 | (209) ~ (e1 = e0) % 22.90/6.15 | % 22.90/6.15 | Simplifying 209 yields: % 22.90/6.15 | (153) ~ (e1 = e0) % 22.90/6.15 | % 22.90/6.15 | From (882) and (157) follows: % 22.90/6.15 | (1923) op(e2, e0) = all_0_17_17 % 22.90/6.15 | % 22.90/6.15 +-Applying beta-rule and splitting (179), into two cases. % 22.90/6.15 |-Branch one: % 22.90/6.15 | (358) all_0_35_35 = e3 % 22.90/6.15 | % 22.90/6.15 | Equations (358) can reduce 389 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (389) ~ (all_0_35_35 = e3) % 22.90/6.15 | (390) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0 % 22.90/6.15 | % 22.90/6.15 +-Applying beta-rule and splitting (14), into two cases. % 22.90/6.15 |-Branch one: % 22.90/6.15 | (405) all_0_32_32 = e2 % 22.90/6.15 | % 22.90/6.15 | Combining equations (438,405) yields a new equation: % 22.90/6.15 | (343) e2 = e1 % 22.90/6.15 | % 22.90/6.15 | Equations (343) can reduce 128 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (428) ~ (all_0_32_32 = e2) % 22.90/6.15 | (429) all_0_33_33 = e2 | all_0_34_34 = e2 | all_0_35_35 = e2 % 22.90/6.15 | % 22.90/6.15 +-Applying beta-rule and splitting (429), into two cases. % 22.90/6.15 |-Branch one: % 22.90/6.15 | (810) all_0_33_33 = e2 % 22.90/6.15 | % 22.90/6.15 | Combining equations (882,810) yields a new equation: % 22.90/6.15 | (536) e2 = e0 % 22.90/6.15 | % 22.90/6.15 | Equations (536) can reduce 87 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (813) ~ (all_0_33_33 = e2) % 22.90/6.15 | (1658) all_0_34_34 = e2 | all_0_35_35 = e2 % 22.90/6.15 | % 22.90/6.15 +-Applying beta-rule and splitting (390), into two cases. % 22.90/6.15 |-Branch one: % 22.90/6.15 | (394) all_0_35_35 = e2 % 22.90/6.15 | % 22.90/6.15 | Equations (394) can reduce 7 to: % 22.90/6.15 | (310) ~ (all_0_27_27 = e2) % 22.90/6.15 | % 22.90/6.15 | Equations (394) can reduce 147 to: % 22.90/6.15 | (817) ~ (all_0_31_31 = e2) % 22.90/6.15 | % 22.90/6.15 | Equations (394) can reduce 389 to: % 22.90/6.15 | (340) ~ (e3 = e2) % 22.90/6.15 | % 22.90/6.15 | Simplifying 340 yields: % 22.90/6.15 | (62) ~ (e3 = e2) % 22.90/6.15 | % 22.90/6.15 | Equations (394) can reduce 261 to: % 22.90/6.15 | (128) ~ (e2 = e1) % 22.90/6.15 | % 22.90/6.15 | From (394) and (170) follows: % 22.90/6.15 | (4841) op(e0, e2) = all_0_19_19 % 22.90/6.15 | % 22.90/6.15 | Instantiating formula (58) with e2, e0, all_0_17_17, all_0_31_31 and discharging atoms op(e2, e0) = all_0_17_17, op(e2, e0) = all_0_31_31, yields: % 22.90/6.15 | (1937) all_0_17_17 = all_0_31_31 % 22.90/6.15 | % 22.90/6.15 | Instantiating formula (58) with e0, e2, all_0_19_19, all_0_37_37 and discharging atoms op(e0, e2) = all_0_19_19, op(e0, e2) = all_0_37_37, yields: % 22.90/6.15 | (4843) all_0_19_19 = all_0_37_37 % 22.90/6.15 | % 22.90/6.15 +-Applying beta-rule and splitting (96), into two cases. % 22.90/6.15 |-Branch one: % 22.90/6.15 | (328) all_0_27_27 = e3 % 22.90/6.15 | % 22.90/6.15 | Equations (328) can reduce 227 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (227) ~ (all_0_27_27 = e3) % 22.90/6.15 | (922) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0 % 22.90/6.15 | % 22.90/6.15 +-Applying beta-rule and splitting (22), into two cases. % 22.90/6.15 |-Branch one: % 22.90/6.15 | (342) all_0_25_25 = e1 % 22.90/6.15 | % 22.90/6.15 | Combining equations (342,4533) yields a new equation: % 22.90/6.15 | (2835) all_0_12_12 = e1 % 22.90/6.15 | % 22.90/6.15 | Equations (342) can reduce 130 to: % 22.90/6.15 | (3584) ~ (all_0_27_27 = e1) % 22.90/6.15 | % 22.90/6.15 | Simplifying 3584 yields: % 22.90/6.15 | (443) ~ (all_0_27_27 = e1) % 22.90/6.15 | % 22.90/6.15 | Equations (342) can reduce 31 to: % 22.90/6.15 | (1149) ~ (all_0_37_37 = e1) % 22.90/6.15 | % 22.90/6.15 | Simplifying 1149 yields: % 22.90/6.15 | (504) ~ (all_0_37_37 = e1) % 22.90/6.15 | % 22.90/6.15 | Equations (342) can reduce 223 to: % 22.90/6.15 | (691) ~ (e3 = e1) % 22.90/6.15 | % 22.90/6.15 | Simplifying 691 yields: % 22.90/6.15 | (74) ~ (e3 = e1) % 22.90/6.15 | % 22.90/6.15 +-Applying beta-rule and splitting (85), into two cases. % 22.90/6.15 |-Branch one: % 22.90/6.15 | (337) all_0_25_25 = e2 % 22.90/6.15 | % 22.90/6.15 | Combining equations (342,337) yields a new equation: % 22.90/6.15 | (343) e2 = e1 % 22.90/6.15 | % 22.90/6.15 | Equations (343) can reduce 128 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (532) ~ (all_0_25_25 = e2) % 22.90/6.15 | (805) all_0_29_29 = e2 | all_0_33_33 = e2 | all_0_37_37 = e2 % 22.90/6.15 | % 22.90/6.15 | Equations (342) can reduce 532 to: % 22.90/6.15 | (264) ~ (e2 = e1) % 22.90/6.15 | % 22.90/6.15 | Simplifying 264 yields: % 22.90/6.15 | (128) ~ (e2 = e1) % 22.90/6.15 | % 22.90/6.15 +-Applying beta-rule and splitting (922), into two cases. % 22.90/6.15 |-Branch one: % 22.90/6.15 | (539) all_0_27_27 = e2 % 22.90/6.15 | % 22.90/6.15 | Equations (539) can reduce 310 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (310) ~ (all_0_27_27 = e2) % 22.90/6.15 | (926) all_0_27_27 = e1 | all_0_27_27 = e0 % 22.90/6.15 | % 22.90/6.15 +-Applying beta-rule and splitting (158), into two cases. % 22.90/6.15 |-Branch one: % 22.90/6.15 | (332) all_0_24_24 = e2 % 22.90/6.15 | % 22.90/6.15 | Combining equations (221,332) yields a new equation: % 22.90/6.15 | (364) e3 = e2 % 22.90/6.15 | % 22.90/6.15 | Simplifying 364 yields: % 22.90/6.15 | (333) e3 = e2 % 22.90/6.15 | % 22.90/6.15 | Equations (333) can reduce 62 to: % 22.90/6.15 | (188) $false % 22.90/6.15 | % 22.90/6.15 |-The branch is then unsatisfiable % 22.90/6.15 |-Branch two: % 22.90/6.15 | (219) ~ (all_0_24_24 = e2) % 22.90/6.16 | (336) all_0_25_25 = e2 | all_0_26_26 = e2 | all_0_27_27 = e2 % 22.90/6.16 | % 22.90/6.16 +-Applying beta-rule and splitting (111), into two cases. % 22.90/6.16 |-Branch one: % 22.90/6.16 | (377) all_0_37_37 = e3 % 22.90/6.16 | % 22.90/6.16 | Equations (377) can reduce 481 to: % 22.90/6.16 | (188) $false % 22.90/6.16 | % 22.90/6.16 |-The branch is then unsatisfiable % 22.90/6.16 |-Branch two: % 22.90/6.16 | (481) ~ (all_0_37_37 = e3) % 22.90/6.16 | (2566) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0 % 22.90/6.16 | % 22.90/6.16 +-Applying beta-rule and splitting (134), into two cases. % 22.90/6.16 |-Branch one: % 22.90/6.16 | (354) all_0_27_27 = e1 % 22.90/6.16 | % 22.90/6.16 | Equations (354) can reduce 443 to: % 22.90/6.16 | (188) $false % 22.90/6.16 | % 22.90/6.16 |-The branch is then unsatisfiable % 22.90/6.16 |-Branch two: % 22.90/6.16 | (443) ~ (all_0_27_27 = e1) % 22.90/6.16 | (444) all_0_31_31 = e1 | all_0_35_35 = e1 | all_0_39_39 = e1 % 22.90/6.16 | % 22.90/6.16 +-Applying beta-rule and splitting (926), into two cases. % 22.90/6.16 |-Branch one: % 22.90/6.16 | (354) all_0_27_27 = e1 % 22.90/6.16 | % 22.90/6.16 | Equations (354) can reduce 443 to: % 22.90/6.16 | (188) $false % 22.90/6.16 | % 22.90/6.16 |-The branch is then unsatisfiable % 22.90/6.16 |-Branch two: % 22.90/6.16 | (443) ~ (all_0_27_27 = e1) % 22.90/6.16 | (930) all_0_27_27 = e0 % 22.90/6.16 | % 22.90/6.16 | Combining equations (930,4228) yields a new equation: % 22.90/6.16 | (3979) all_0_20_20 = e0 % 22.90/6.16 | % 22.90/6.16 | Equations (930) can reduce 18 to: % 22.90/6.16 | (541) ~ (all_0_26_26 = e0) % 22.90/6.16 | % 22.90/6.16 +-Applying beta-rule and splitting (56), into two cases. % 22.90/6.16 |-Branch one: % 22.90/6.16 | (321) all_0_26_26 = e0 % 22.90/6.16 | % 22.90/6.16 | Equations (321) can reduce 541 to: % 22.90/6.16 | (188) $false % 22.90/6.16 | % 22.90/6.16 |-The branch is then unsatisfiable % 22.90/6.16 |-Branch two: % 22.90/6.16 | (541) ~ (all_0_26_26 = e0) % 22.90/6.16 | (542) all_0_30_30 = e0 | all_0_34_34 = e0 | all_0_38_38 = e0 % 22.90/6.16 | % 22.90/6.16 +-Applying beta-rule and splitting (336), into two cases. % 22.90/6.16 |-Branch one: % 22.90/6.16 | (337) all_0_25_25 = e2 % 22.90/6.16 | % 22.90/6.16 | Combining equations (342,337) yields a new equation: % 22.90/6.16 | (343) e2 = e1 % 22.90/6.16 | % 22.90/6.16 | Equations (343) can reduce 128 to: % 22.90/6.16 | (188) $false % 22.90/6.16 | % 22.90/6.16 |-The branch is then unsatisfiable % 22.90/6.16 |-Branch two: % 22.90/6.16 | (532) ~ (all_0_25_25 = e2) % 22.90/6.16 | (533) all_0_26_26 = e2 | all_0_27_27 = e2 % 22.90/6.16 | % 22.90/6.16 +-Applying beta-rule and splitting (70), into two cases. % 22.90/6.16 |-Branch one: % 22.90/6.16 | (543) all_0_26_26 = e3 % 22.90/6.16 | % 22.90/6.16 | Equations (543) can reduce 225 to: % 22.90/6.16 | (188) $false % 22.90/6.16 | % 22.90/6.16 |-The branch is then unsatisfiable % 22.90/6.16 |-Branch two: % 22.90/6.16 | (225) ~ (all_0_26_26 = e3) % 22.90/6.16 | (546) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0 % 22.90/6.16 | % 22.90/6.16 +-Applying beta-rule and splitting (546), into two cases. % 22.90/6.16 |-Branch one: % 22.90/6.16 | (534) all_0_26_26 = e2 % 22.90/6.16 | % 22.90/6.16 | Equations (534) can reduce 44 to: % 22.90/6.16 | (553) ~ (all_0_38_38 = e2) % 22.90/6.16 | % 22.90/6.16 | Simplifying 553 yields: % 22.90/6.16 | (554) ~ (all_0_38_38 = e2) % 22.90/6.16 | % 22.90/6.16 | Equations (534) can reduce 225 to: % 22.90/6.16 | (340) ~ (e3 = e2) % 22.90/6.16 | % 22.90/6.16 | Simplifying 340 yields: % 22.90/6.16 | (62) ~ (e3 = e2) % 22.90/6.16 | % 22.90/6.16 | Equations (534) can reduce 541 to: % 22.90/6.16 | (87) ~ (e2 = e0) % 22.90/6.16 | % 22.90/6.16 +-Applying beta-rule and splitting (805), into two cases. % 22.90/6.16 |-Branch one: % 22.90/6.16 | (291) all_0_29_29 = e2 % 22.90/6.16 | % 22.90/6.16 | Combining equations (287,291) yields a new equation: % 22.90/6.16 | (364) e3 = e2 % 22.90/6.16 | % 22.90/6.16 | Simplifying 364 yields: % 22.90/6.16 | (333) e3 = e2 % 22.90/6.16 | % 22.90/6.16 | Equations (333) can reduce 62 to: % 22.90/6.16 | (188) $false % 22.90/6.16 | % 22.90/6.16 |-The branch is then unsatisfiable % 22.90/6.16 |-Branch two: % 22.90/6.16 | (301) ~ (all_0_29_29 = e2) % 22.90/6.16 | (809) all_0_33_33 = e2 | all_0_37_37 = e2 % 22.90/6.16 | % 22.90/6.16 | Equations (287) can reduce 301 to: % 22.90/6.16 | (62) ~ (e3 = e2) % 22.90/6.16 | % 22.90/6.16 +-Applying beta-rule and splitting (10), into two cases. % 22.90/6.16 |-Branch one: % 22.90/6.16 | (416) all_0_31_31 = e3 % 22.90/6.16 | % 22.90/6.16 | Equations (416) can reduce 419 to: % 22.90/6.16 | (188) $false % 22.90/6.16 | % 22.90/6.16 |-The branch is then unsatisfiable % 22.90/6.16 |-Branch two: % 22.90/6.16 | (419) ~ (all_0_31_31 = e3) % 22.90/6.16 | (967) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0 % 22.90/6.16 | % 22.90/6.16 +-Applying beta-rule and splitting (27), into two cases. % 22.90/6.16 |-Branch one: % 22.90/6.16 | (763) all_0_28_28 = e0 % 22.90/6.16 | % 22.90/6.16 | Combining equations (849,763) yields a new equation: % 22.90/6.16 | (535) e2 = e0 % 22.90/6.16 | % 22.90/6.16 | Simplifying 535 yields: % 22.90/6.16 | (536) e2 = e0 % 22.90/6.16 | % 22.90/6.16 | Equations (536) can reduce 87 to: % 22.90/6.16 | (188) $false % 22.90/6.16 | % 22.90/6.16 |-The branch is then unsatisfiable % 22.90/6.16 |-Branch two: % 22.90/6.16 | (311) ~ (all_0_28_28 = e0) % 22.90/6.16 | (768) all_0_29_29 = e0 | all_0_30_30 = e0 | all_0_31_31 = e0 % 22.90/6.16 | % 22.90/6.16 | Equations (849) can reduce 311 to: % 22.90/6.16 | (87) ~ (e2 = e0) % 22.90/6.16 | % 22.90/6.16 +-Applying beta-rule and splitting (98), into two cases. % 22.90/6.16 |-Branch one: % 22.90/6.16 | (732) all_0_36_36 = e2 % 22.90/6.16 | % 22.90/6.16 | Combining equations (732,1232) yields a new equation: % 22.90/6.16 | (535) e2 = e0 % 22.90/6.16 | % 22.90/6.16 | Simplifying 535 yields: % 22.90/6.16 | (536) e2 = e0 % 22.90/6.16 | % 22.90/6.16 | Equations (536) can reduce 87 to: % 22.90/6.16 | (188) $false % 22.90/6.16 | % 22.90/6.16 |-The branch is then unsatisfiable % 22.90/6.16 |-Branch two: % 22.90/6.16 | (828) ~ (all_0_36_36 = e2) % 22.90/6.16 | (829) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2 % 22.90/6.16 | % 22.90/6.16 +-Applying beta-rule and splitting (829), into two cases. % 22.90/6.16 |-Branch one: % 22.90/6.16 | (814) all_0_37_37 = e2 % 22.90/6.16 | % 22.90/6.16 | Combining equations (814,4843) yields a new equation: % 22.90/6.16 | (4931) all_0_19_19 = e2 % 22.90/6.16 | % 22.90/6.16 +-Applying beta-rule and splitting (444), into two cases. % 22.90/6.16 |-Branch one: % 22.90/6.16 | (483) all_0_31_31 = e1 % 22.90/6.16 | % 22.90/6.16 | Equations (483) can reduce 168 to: % 22.90/6.16 | (258) ~ (all_0_30_30 = e1) % 22.90/6.16 | % 22.90/6.16 | Equations (483) can reduce 419 to: % 22.90/6.16 | (691) ~ (e3 = e1) % 22.90/6.16 | % 22.90/6.16 | Simplifying 691 yields: % 22.90/6.16 | (74) ~ (e3 = e1) % 22.90/6.16 | % 22.90/6.16 | Equations (483) can reduce 817 to: % 22.90/6.16 | (264) ~ (e2 = e1) % 22.90/6.16 | % 22.90/6.16 | Simplifying 264 yields: % 22.90/6.16 | (128) ~ (e2 = e1) % 22.90/6.16 | % 22.90/6.16 | From (483) and (40) follows: % 22.90/6.16 | (4938) op(e0, e1) = all_0_15_15 % 22.90/6.16 | % 22.90/6.16 +-Applying beta-rule and splitting (140), into two cases. % 22.90/6.16 |-Branch one: % 22.90/6.16 | (587) all_0_26_26 = e1 % 22.90/6.16 | % 22.90/6.16 | Combining equations (534,587) yields a new equation: % 22.90/6.16 | (484) e2 = e1 % 22.90/6.16 | % 22.90/6.16 | Simplifying 484 yields: % 22.90/6.16 | (343) e2 = e1 % 22.90/6.16 | % 22.90/6.16 | Equations (343) can reduce 128 to: % 22.90/6.16 | (188) $false % 22.90/6.16 | % 22.90/6.16 |-The branch is then unsatisfiable % 22.90/6.16 |-Branch two: % 22.90/6.16 | (257) ~ (all_0_26_26 = e1) % 22.90/6.16 | (2494) all_0_30_30 = e1 | all_0_34_34 = e1 | all_0_38_38 = e1 % 22.90/6.16 | % 22.90/6.16 +-Applying beta-rule and splitting (48), into two cases. % 22.90/6.16 |-Branch one: % 22.90/6.16 | (273) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) | ( ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35)) % 22.90/6.16 | % 22.90/6.16 +-Applying beta-rule and splitting (273), into two cases. % 22.90/6.16 |-Branch one: % 22.90/6.16 | (274) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) % 22.90/6.16 | % 22.90/6.16 +-Applying beta-rule and splitting (274), into two cases. % 22.90/6.16 |-Branch one: % 22.90/6.16 | (275) ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27) % 22.90/6.16 | % 22.90/6.16 | Applying alpha-rule on (275) yields: % 22.90/6.16 | (276) ~ (all_0_8_8 = all_0_24_24) % 22.90/6.16 | (277) ~ (all_0_9_9 = all_0_25_25) % 22.90/6.16 | (278) ~ (all_0_10_10 = all_0_26_26) % 22.90/6.16 | (279) ~ (all_0_11_11 = all_0_27_27) % 22.90/6.16 | % 22.90/6.16 | Equations (243,221) can reduce 276 to: % 22.90/6.16 | (188) $false % 22.90/6.16 | % 22.90/6.16 |-The branch is then unsatisfiable % 22.90/6.16 |-Branch two: % 22.90/6.16 | (281) ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31) % 22.90/6.16 | % 22.90/6.16 | Applying alpha-rule on (281) yields: % 22.90/6.16 | (282) ~ (all_0_12_12 = all_0_28_28) % 22.90/6.16 | (283) ~ (all_0_13_13 = all_0_29_29) % 22.90/6.16 | (284) ~ (all_0_14_14 = all_0_30_30) % 22.90/6.16 | (285) ~ (all_0_15_15 = all_0_31_31) % 22.90/6.16 | % 22.90/6.16 | Equations (483) can reduce 285 to: % 22.90/6.16 | (4958) ~ (all_0_15_15 = e1) % 22.90/6.16 | % 22.90/6.16 +-Applying beta-rule and splitting (2494), into two cases. % 22.90/6.16 |-Branch one: % 22.90/6.16 | (525) all_0_30_30 = e1 % 22.90/6.16 | % 22.90/6.16 | Equations (525) can reduce 258 to: % 22.90/6.16 | (188) $false % 22.90/6.16 | % 22.90/6.16 |-The branch is then unsatisfiable % 22.90/6.16 |-Branch two: % 22.90/6.16 | (258) ~ (all_0_30_30 = e1) % 22.90/6.16 | (4962) all_0_34_34 = e1 | all_0_38_38 = e1 % 22.90/6.16 | % 22.90/6.16 +-Applying beta-rule and splitting (4962), into two cases. % 22.90/6.16 |-Branch one: % 22.90/6.16 | (256) all_0_34_34 = e1 % 22.90/6.16 | % 22.90/6.16 | Combining equations (248,256) yields a new equation: % 22.90/6.16 | (492) e3 = e1 % 22.90/6.16 | % 22.90/6.16 | Simplifying 492 yields: % 22.90/6.16 | (387) e3 = e1 % 22.90/6.16 | % 22.90/6.16 | Equations (387) can reduce 74 to: % 22.90/6.16 | (188) $false % 22.90/6.16 | % 22.90/6.16 |-The branch is then unsatisfiable % 22.90/6.16 |-Branch two: % 22.90/6.16 | (619) ~ (all_0_34_34 = e1) % 22.90/6.16 | (506) all_0_38_38 = e1 % 22.90/6.16 | % 22.90/6.16 | From (506) and (129) follows: % 22.90/6.16 | (4969) op(e0, e1) = e1 % 22.90/6.16 | % 22.90/6.16 | Instantiating formula (58) with e0, e1, e1, all_0_15_15 and discharging atoms op(e0, e1) = all_0_15_15, op(e0, e1) = e1, yields: % 22.90/6.16 | (4970) all_0_15_15 = e1 % 22.90/6.16 | % 22.90/6.16 | Equations (4970) can reduce 4958 to: % 22.90/6.16 | (188) $false % 22.90/6.16 | % 22.90/6.16 |-The branch is then unsatisfiable % 22.90/6.16 |-Branch two: % 22.90/6.16 | (607) ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35) % 22.90/6.16 | % 22.90/6.16 | Applying alpha-rule on (607) yields: % 22.90/6.16 | (608) ~ (all_0_16_16 = all_0_32_32) % 22.90/6.16 | (609) ~ (all_0_17_17 = all_0_33_33) % 22.90/6.16 | (610) ~ (all_0_18_18 = all_0_34_34) % 22.90/6.16 | (611) ~ (all_0_19_19 = all_0_35_35) % 22.90/6.16 | % 22.90/6.16 | Equations (4931,394) can reduce 611 to: % 22.90/6.16 | (188) $false % 22.90/6.16 | % 22.90/6.16 |-The branch is then unsatisfiable % 22.90/6.16 |-Branch two: % 22.90/6.16 | (613) ~ (all_0_20_20 = all_0_36_36) & ~ (all_0_21_21 = all_0_37_37) & ~ (all_0_22_22 = all_0_38_38) & ~ (all_0_23_23 = all_0_39_39) % 22.90/6.16 | % 22.90/6.16 | Applying alpha-rule on (613) yields: % 22.90/6.16 | (614) ~ (all_0_20_20 = all_0_36_36) % 22.90/6.16 | (615) ~ (all_0_21_21 = all_0_37_37) % 22.90/6.16 | (616) ~ (all_0_22_22 = all_0_38_38) % 22.90/6.16 | (617) ~ (all_0_23_23 = all_0_39_39) % 22.90/6.16 | % 22.90/6.16 | Equations (3979,1232) can reduce 614 to: % 22.90/6.16 | (188) $false % 22.90/6.16 | % 22.90/6.16 |-The branch is then unsatisfiable % 22.90/6.16 |-Branch two: % 22.90/6.16 | (487) ~ (all_0_31_31 = e1) % 22.90/6.16 | (488) all_0_35_35 = e1 | all_0_39_39 = e1 % 22.90/6.16 | % 22.90/6.16 +-Applying beta-rule and splitting (48), into two cases. % 22.90/6.16 |-Branch one: % 22.90/6.16 | (273) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) | ( ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35)) % 22.90/6.16 | % 22.90/6.16 +-Applying beta-rule and splitting (273), into two cases. % 22.90/6.16 |-Branch one: % 22.90/6.16 | (274) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) % 22.90/6.16 | % 22.90/6.16 +-Applying beta-rule and splitting (274), into two cases. % 22.90/6.16 |-Branch one: % 22.90/6.16 | (275) ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27) % 22.90/6.16 | % 22.90/6.16 | Applying alpha-rule on (275) yields: % 22.90/6.16 | (276) ~ (all_0_8_8 = all_0_24_24) % 22.90/6.16 | (277) ~ (all_0_9_9 = all_0_25_25) % 22.90/6.16 | (278) ~ (all_0_10_10 = all_0_26_26) % 22.90/6.16 | (279) ~ (all_0_11_11 = all_0_27_27) % 22.90/6.16 | % 22.90/6.16 | Equations (243,221) can reduce 276 to: % 22.90/6.16 | (188) $false % 22.90/6.16 | % 22.90/6.16 |-The branch is then unsatisfiable % 22.90/6.16 |-Branch two: % 22.90/6.16 | (281) ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31) % 22.90/6.16 | % 22.90/6.16 | Applying alpha-rule on (281) yields: % 22.90/6.16 | (282) ~ (all_0_12_12 = all_0_28_28) % 22.90/6.16 | (283) ~ (all_0_13_13 = all_0_29_29) % 22.90/6.16 | (284) ~ (all_0_14_14 = all_0_30_30) % 22.90/6.16 | (285) ~ (all_0_15_15 = all_0_31_31) % 22.90/6.16 | % 22.90/6.16 | Equations (2835,849) can reduce 282 to: % 22.90/6.16 | (264) ~ (e2 = e1) % 22.90/6.16 | % 22.90/6.16 | Simplifying 264 yields: % 22.90/6.16 | (128) ~ (e2 = e1) % 22.90/6.16 | % 22.90/6.16 +-Applying beta-rule and splitting (488), into two cases. % 22.90/6.16 |-Branch one: % 22.90/6.16 | (398) all_0_35_35 = e1 % 22.90/6.16 | % 22.90/6.16 | Combining equations (398,394) yields a new equation: % 22.90/6.16 | (343) e2 = e1 % 22.90/6.16 | % 22.90/6.16 | Equations (343) can reduce 128 to: % 22.90/6.16 | (188) $false % 22.90/6.16 | % 22.90/6.16 |-The branch is then unsatisfiable % 22.90/6.16 |-Branch two: % 22.90/6.16 | (261) ~ (all_0_35_35 = e1) % 22.90/6.16 | (195) all_0_39_39 = e1 % 22.90/6.16 | % 22.90/6.16 | Combining equations (195,187) yields a new equation: % 22.90/6.16 | (387) e3 = e1 % 22.90/6.16 | % 22.90/6.16 | Equations (387) can reduce 74 to: % 22.90/6.16 | (188) $false % 22.90/6.16 | % 22.90/6.16 |-The branch is then unsatisfiable % 22.90/6.16 |-Branch two: % 22.90/6.16 | (607) ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35) % 22.90/6.16 | % 22.90/6.16 | Applying alpha-rule on (607) yields: % 22.90/6.16 | (608) ~ (all_0_16_16 = all_0_32_32) % 22.90/6.16 | (609) ~ (all_0_17_17 = all_0_33_33) % 22.90/6.16 | (610) ~ (all_0_18_18 = all_0_34_34) % 22.90/6.16 | (611) ~ (all_0_19_19 = all_0_35_35) % 22.90/6.16 | % 22.90/6.16 | Equations (4931,394) can reduce 611 to: % 22.90/6.16 | (188) $false % 22.90/6.16 | % 22.90/6.16 |-The branch is then unsatisfiable % 22.90/6.16 |-Branch two: % 22.90/6.16 | (613) ~ (all_0_20_20 = all_0_36_36) & ~ (all_0_21_21 = all_0_37_37) & ~ (all_0_22_22 = all_0_38_38) & ~ (all_0_23_23 = all_0_39_39) % 22.90/6.16 | % 22.90/6.16 | Applying alpha-rule on (613) yields: % 22.90/6.16 | (614) ~ (all_0_20_20 = all_0_36_36) % 22.90/6.16 | (615) ~ (all_0_21_21 = all_0_37_37) % 22.90/6.16 | (616) ~ (all_0_22_22 = all_0_38_38) % 22.90/6.16 | (617) ~ (all_0_23_23 = all_0_39_39) % 22.90/6.16 | % 22.90/6.16 | Equations (3979,1232) can reduce 614 to: % 22.90/6.17 | (188) $false % 22.90/6.17 | % 22.90/6.17 |-The branch is then unsatisfiable % 22.90/6.17 |-Branch two: % 22.90/6.17 | (339) ~ (all_0_37_37 = e2) % 22.90/6.17 | (2054) all_0_38_38 = e2 | all_0_39_39 = e2 % 22.90/6.17 | % 22.90/6.17 +-Applying beta-rule and splitting (2054), into two cases. % 22.90/6.17 |-Branch one: % 22.90/6.17 | (576) all_0_38_38 = e2 % 22.90/6.17 | % 22.90/6.17 | Equations (576) can reduce 554 to: % 22.90/6.17 | (188) $false % 22.90/6.17 | % 22.90/6.17 |-The branch is then unsatisfiable % 22.90/6.17 |-Branch two: % 22.90/6.17 | (554) ~ (all_0_38_38 = e2) % 22.90/6.17 | (191) all_0_39_39 = e2 % 22.90/6.17 | % 22.90/6.17 | Combining equations (187,191) yields a new equation: % 22.90/6.17 | (364) e3 = e2 % 22.90/6.17 | % 22.90/6.17 | Simplifying 364 yields: % 22.90/6.17 | (333) e3 = e2 % 22.90/6.17 | % 22.90/6.17 | Equations (333) can reduce 62 to: % 22.90/6.17 | (188) $false % 22.90/6.17 | % 22.90/6.17 |-The branch is then unsatisfiable % 22.90/6.17 |-Branch two: % 22.90/6.17 | (538) ~ (all_0_26_26 = e2) % 22.90/6.17 | (586) all_0_26_26 = e1 | all_0_26_26 = e0 % 22.90/6.17 | % 22.90/6.17 +-Applying beta-rule and splitting (6), into two cases. % 22.90/6.17 |-Branch one: % 22.90/6.17 | (534) all_0_26_26 = e2 % 22.90/6.17 | % 22.90/6.17 | Equations (534) can reduce 538 to: % 22.90/6.17 | (188) $false % 22.90/6.17 | % 22.90/6.17 |-The branch is then unsatisfiable % 22.90/6.17 |-Branch two: % 22.90/6.17 | (538) ~ (all_0_26_26 = e2) % 22.90/6.17 | (1441) all_0_30_30 = e2 | all_0_34_34 = e2 | all_0_38_38 = e2 % 22.90/6.17 | % 22.90/6.17 +-Applying beta-rule and splitting (2566), into two cases. % 22.90/6.17 |-Branch one: % 22.90/6.17 | (814) all_0_37_37 = e2 % 22.90/6.17 | % 22.90/6.17 | Equations (814) can reduce 203 to: % 22.90/6.17 | (87) ~ (e2 = e0) % 22.90/6.17 | % 22.90/6.17 +-Applying beta-rule and splitting (533), into two cases. % 22.90/6.17 |-Branch one: % 22.90/6.17 | (534) all_0_26_26 = e2 % 22.90/6.17 | % 22.90/6.17 | Equations (534) can reduce 538 to: % 22.90/6.17 | (188) $false % 22.90/6.17 | % 22.90/6.17 |-The branch is then unsatisfiable % 22.90/6.17 |-Branch two: % 22.90/6.17 | (538) ~ (all_0_26_26 = e2) % 22.90/6.17 | (539) all_0_27_27 = e2 % 22.90/6.17 | % 22.90/6.17 | Combining equations (930,539) yields a new equation: % 22.90/6.17 | (536) e2 = e0 % 22.90/6.17 | % 22.90/6.17 | Equations (536) can reduce 87 to: % 22.90/6.17 | (188) $false % 22.90/6.17 | % 22.90/6.17 |-The branch is then unsatisfiable % 22.90/6.17 |-Branch two: % 22.90/6.17 | (339) ~ (all_0_37_37 = e2) % 22.90/6.17 | (2755) all_0_37_37 = e1 | all_0_37_37 = e0 % 22.90/6.17 | % 22.90/6.17 +-Applying beta-rule and splitting (2755), into two cases. % 22.90/6.17 |-Branch one: % 22.90/6.17 | (386) all_0_37_37 = e1 % 22.90/6.17 | % 22.90/6.17 | Equations (386) can reduce 504 to: % 22.90/6.17 | (188) $false % 22.90/6.17 | % 22.90/6.17 |-The branch is then unsatisfiable % 22.90/6.17 |-Branch two: % 22.90/6.17 | (504) ~ (all_0_37_37 = e1) % 22.90/6.17 | (886) all_0_37_37 = e0 % 22.90/6.17 | % 22.90/6.17 | Equations (886) can reduce 203 to: % 22.90/6.17 | (188) $false % 22.90/6.17 | % 22.90/6.17 |-The branch is then unsatisfiable % 22.90/6.17 |-Branch two: % 22.90/6.17 | (345) ~ (all_0_25_25 = e1) % 22.90/6.17 | (346) all_0_29_29 = e1 | all_0_33_33 = e1 | all_0_37_37 = e1 % 22.90/6.17 | % 22.90/6.17 +-Applying beta-rule and splitting (165), into two cases. % 22.90/6.17 |-Branch one: % 22.90/6.17 | (363) all_0_25_25 = e3 % 22.90/6.17 | % 22.90/6.17 | Equations (363) can reduce 223 to: % 22.90/6.17 | (188) $false % 22.90/6.17 | % 22.90/6.17 |-The branch is then unsatisfiable % 22.90/6.17 |-Branch two: % 22.90/6.17 | (223) ~ (all_0_25_25 = e3) % 22.90/6.17 | (2809) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0 % 22.90/6.17 | % 22.90/6.17 +-Applying beta-rule and splitting (346), into two cases. % 22.90/6.17 |-Branch one: % 22.90/6.17 | (303) all_0_29_29 = e1 % 22.90/6.17 | % 22.90/6.17 | Combining equations (287,303) yields a new equation: % 22.90/6.17 | (492) e3 = e1 % 22.90/6.17 | % 22.90/6.17 | Simplifying 492 yields: % 22.90/6.17 | (387) e3 = e1 % 22.90/6.17 | % 22.90/6.17 | Equations (387) can reduce 74 to: % 22.90/6.17 | (188) $false % 22.90/6.17 | % 22.90/6.17 |-The branch is then unsatisfiable % 22.90/6.17 |-Branch two: % 22.90/6.17 | (183) ~ (all_0_29_29 = e1) % 22.90/6.17 | (382) all_0_33_33 = e1 | all_0_37_37 = e1 % 22.90/6.17 | % 22.90/6.17 +-Applying beta-rule and splitting (382), into two cases. % 22.90/6.17 |-Branch one: % 22.90/6.17 | (383) all_0_33_33 = e1 % 22.90/6.17 | % 22.90/6.17 | Combining equations (882,383) yields a new equation: % 22.90/6.17 | (379) e1 = e0 % 22.90/6.17 | % 22.90/6.17 | Equations (379) can reduce 153 to: % 22.90/6.17 | (188) $false % 22.90/6.17 | % 22.90/6.17 |-The branch is then unsatisfiable % 22.90/6.17 |-Branch two: % 22.90/6.17 | (259) ~ (all_0_33_33 = e1) % 22.90/6.17 | (386) all_0_37_37 = e1 % 22.90/6.17 | % 22.90/6.17 | Equations (386) can reduce 31 to: % 22.90/6.17 | (345) ~ (all_0_25_25 = e1) % 22.90/6.17 | % 22.90/6.17 | Equations (386) can reduce 63 to: % 22.90/6.17 | (262) ~ (all_0_38_38 = e1) % 22.90/6.17 | % 22.90/6.17 | Simplifying 262 yields: % 22.90/6.17 | (263) ~ (all_0_38_38 = e1) % 22.90/6.17 | % 22.90/6.17 | Equations (386) can reduce 481 to: % 22.90/6.17 | (691) ~ (e3 = e1) % 22.90/6.17 | % 22.90/6.17 | Simplifying 691 yields: % 22.90/6.17 | (74) ~ (e3 = e1) % 22.90/6.17 | % 22.90/6.17 | Equations (386) can reduce 203 to: % 22.90/6.17 | (153) ~ (e1 = e0) % 22.90/6.17 | % 22.90/6.17 | From (386) and (92) follows: % 22.90/6.17 | (5073) op(e2, e1) = all_0_21_21 % 22.90/6.17 | % 22.90/6.17 +-Applying beta-rule and splitting (2809), into two cases. % 22.90/6.17 |-Branch one: % 22.90/6.17 | (337) all_0_25_25 = e2 % 22.90/6.17 | % 22.90/6.17 | Combining equations (337,4533) yields a new equation: % 22.90/6.17 | (3783) all_0_12_12 = e2 % 22.90/6.17 | % 22.90/6.17 | Equations (337) can reduce 71 to: % 22.90/6.17 | (5076) ~ (all_0_26_26 = e2) % 22.90/6.17 | % 22.90/6.17 | Simplifying 5076 yields: % 22.90/6.17 | (538) ~ (all_0_26_26 = e2) % 22.90/6.17 | % 22.90/6.17 | Equations (337) can reduce 130 to: % 22.90/6.17 | (5078) ~ (all_0_27_27 = e2) % 22.90/6.17 | % 22.90/6.17 | Simplifying 5078 yields: % 22.90/6.17 | (310) ~ (all_0_27_27 = e2) % 22.90/6.17 | % 22.90/6.17 | Equations (337) can reduce 223 to: % 22.90/6.17 | (340) ~ (e3 = e2) % 22.90/6.17 | % 22.90/6.17 | Simplifying 340 yields: % 22.90/6.17 | (62) ~ (e3 = e2) % 22.90/6.17 | % 22.90/6.17 +-Applying beta-rule and splitting (6), into two cases. % 22.90/6.17 |-Branch one: % 22.90/6.17 | (534) all_0_26_26 = e2 % 22.90/6.17 | % 22.90/6.17 | Equations (534) can reduce 538 to: % 22.90/6.17 | (188) $false % 22.90/6.17 | % 22.90/6.17 |-The branch is then unsatisfiable % 22.90/6.17 |-Branch two: % 22.90/6.17 | (538) ~ (all_0_26_26 = e2) % 22.90/6.17 | (1441) all_0_30_30 = e2 | all_0_34_34 = e2 | all_0_38_38 = e2 % 22.90/6.17 | % 22.90/6.17 +-Applying beta-rule and splitting (1441), into two cases. % 22.90/6.17 |-Branch one: % 22.90/6.17 | (565) all_0_30_30 = e2 % 22.90/6.17 | % 22.90/6.17 | Equations (565) can reduce 552 to: % 22.90/6.17 | (188) $false % 22.90/6.17 | % 22.90/6.17 |-The branch is then unsatisfiable % 22.90/6.17 |-Branch two: % 22.90/6.17 | (552) ~ (all_0_30_30 = e2) % 22.90/6.17 | (1454) all_0_34_34 = e2 | all_0_38_38 = e2 % 22.90/6.17 | % 22.90/6.17 +-Applying beta-rule and splitting (1454), into two cases. % 22.90/6.17 |-Branch one: % 22.90/6.17 | (252) all_0_34_34 = e2 % 22.90/6.17 | % 22.90/6.17 | Combining equations (248,252) yields a new equation: % 22.90/6.17 | (364) e3 = e2 % 22.90/6.17 | % 22.90/6.17 | Simplifying 364 yields: % 22.90/6.17 | (333) e3 = e2 % 22.90/6.17 | % 22.90/6.17 | Equations (333) can reduce 62 to: % 22.90/6.17 | (188) $false % 22.90/6.17 | % 22.90/6.17 |-The branch is then unsatisfiable % 22.90/6.17 |-Branch two: % 22.90/6.17 | (247) ~ (all_0_34_34 = e2) % 22.90/6.17 | (576) all_0_38_38 = e2 % 22.90/6.17 | % 22.90/6.17 | Equations (576) can reduce 44 to: % 22.90/6.17 | (538) ~ (all_0_26_26 = e2) % 22.90/6.17 | % 22.90/6.17 | Equations (576) can reduce 15 to: % 22.90/6.17 | (552) ~ (all_0_30_30 = e2) % 22.90/6.17 | % 22.90/6.17 | Equations (576) can reduce 263 to: % 22.90/6.17 | (128) ~ (e2 = e1) % 22.90/6.17 | % 22.90/6.17 | Equations (576) can reduce 204 to: % 22.90/6.17 | (87) ~ (e2 = e0) % 22.90/6.17 | % 22.90/6.17 | Instantiating formula (58) with e2, e1, all_0_21_21, all_0_30_30 and discharging atoms op(e2, e1) = all_0_21_21, op(e2, e1) = all_0_30_30, yields: % 22.90/6.17 | (5100) all_0_21_21 = all_0_30_30 % 22.90/6.17 | % 22.90/6.17 +-Applying beta-rule and splitting (56), into two cases. % 22.90/6.17 |-Branch one: % 22.90/6.17 | (321) all_0_26_26 = e0 % 22.90/6.17 | % 22.90/6.17 | Equations (321) can reduce 151 to: % 22.90/6.17 | (312) ~ (all_0_30_30 = e0) % 22.90/6.17 | % 22.90/6.17 | Simplifying 312 yields: % 22.90/6.17 | (313) ~ (all_0_30_30 = e0) % 22.90/6.17 | % 22.90/6.17 | Equations (321) can reduce 225 to: % 22.90/6.17 | (205) ~ (e3 = e0) % 22.90/6.17 | % 22.90/6.17 | Simplifying 205 yields: % 22.90/6.17 | (79) ~ (e3 = e0) % 22.90/6.17 | % 22.90/6.17 | Equations (321) can reduce 538 to: % 22.90/6.17 | (207) ~ (e2 = e0) % 22.90/6.17 | % 22.90/6.17 | Simplifying 207 yields: % 22.90/6.17 | (87) ~ (e2 = e0) % 22.90/6.17 | % 22.90/6.17 +-Applying beta-rule and splitting (27), into two cases. % 22.90/6.17 |-Branch one: % 22.90/6.17 | (763) all_0_28_28 = e0 % 22.90/6.17 | % 22.90/6.17 | Combining equations (849,763) yields a new equation: % 22.90/6.17 | (535) e2 = e0 % 22.90/6.17 | % 22.90/6.17 | Simplifying 535 yields: % 22.90/6.17 | (536) e2 = e0 % 22.90/6.17 | % 22.90/6.17 | Equations (536) can reduce 87 to: % 22.90/6.17 | (188) $false % 22.90/6.17 | % 22.90/6.17 |-The branch is then unsatisfiable % 22.90/6.17 |-Branch two: % 22.90/6.17 | (311) ~ (all_0_28_28 = e0) % 22.90/6.17 | (768) all_0_29_29 = e0 | all_0_30_30 = e0 | all_0_31_31 = e0 % 22.90/6.17 | % 22.90/6.17 +-Applying beta-rule and splitting (768), into two cases. % 22.90/6.17 |-Branch one: % 22.90/6.17 | (306) all_0_29_29 = e0 % 22.90/6.17 | % 22.90/6.17 | Combining equations (306,287) yields a new equation: % 22.90/6.17 | (370) e3 = e0 % 22.90/6.17 | % 22.90/6.17 | Equations (370) can reduce 79 to: % 22.90/6.17 | (188) $false % 22.90/6.17 | % 22.90/6.17 |-The branch is then unsatisfiable % 22.90/6.17 |-Branch two: % 22.90/6.17 | (286) ~ (all_0_29_29 = e0) % 22.90/6.17 | (798) all_0_30_30 = e0 | all_0_31_31 = e0 % 22.90/6.17 | % 22.90/6.17 +-Applying beta-rule and splitting (922), into two cases. % 22.90/6.17 |-Branch one: % 22.90/6.17 | (539) all_0_27_27 = e2 % 22.90/6.17 | % 22.90/6.17 | Equations (539) can reduce 310 to: % 22.90/6.17 | (188) $false % 22.90/6.17 | % 22.90/6.17 |-The branch is then unsatisfiable % 22.90/6.17 |-Branch two: % 22.90/6.17 | (310) ~ (all_0_27_27 = e2) % 22.90/6.17 | (926) all_0_27_27 = e1 | all_0_27_27 = e0 % 22.90/6.17 | % 22.90/6.17 +-Applying beta-rule and splitting (798), into two cases. % 22.90/6.17 |-Branch one: % 22.90/6.17 | (557) all_0_30_30 = e0 % 22.90/6.17 | % 22.90/6.17 | Equations (557) can reduce 313 to: % 22.90/6.17 | (188) $false % 22.90/6.17 | % 22.90/6.17 |-The branch is then unsatisfiable % 22.90/6.17 |-Branch two: % 22.90/6.17 | (313) ~ (all_0_30_30 = e0) % 22.90/6.17 | (938) all_0_31_31 = e0 % 22.90/6.17 | % 22.90/6.17 | Combining equations (938,1937) yields a new equation: % 22.90/6.17 | (5127) all_0_17_17 = e0 % 22.90/6.17 | % 22.90/6.17 | Equations (938) can reduce 119 to: % 22.90/6.17 | (199) ~ (all_0_27_27 = e0) % 22.90/6.17 | % 22.90/6.17 +-Applying beta-rule and splitting (926), into two cases. % 22.90/6.17 |-Branch one: % 22.90/6.17 | (354) all_0_27_27 = e1 % 22.90/6.17 | % 22.90/6.17 | Equations (354) can reduce 227 to: % 22.90/6.17 | (691) ~ (e3 = e1) % 22.90/6.17 | % 22.90/6.17 | Simplifying 691 yields: % 22.90/6.17 | (74) ~ (e3 = e1) % 22.90/6.17 | % 22.90/6.17 | Equations (354) can reduce 310 to: % 22.90/6.17 | (264) ~ (e2 = e1) % 22.90/6.17 | % 22.90/6.17 | Simplifying 264 yields: % 22.90/6.17 | (128) ~ (e2 = e1) % 22.90/6.17 | % 22.90/6.17 | Equations (354) can reduce 199 to: % 22.90/6.17 | (153) ~ (e1 = e0) % 22.90/6.17 | % 22.90/6.17 +-Applying beta-rule and splitting (519), into two cases. % 22.90/6.17 |-Branch one: % 22.90/6.17 | (303) all_0_29_29 = e1 % 22.90/6.17 | % 22.90/6.17 | Combining equations (287,303) yields a new equation: % 22.90/6.17 | (492) e3 = e1 % 22.90/6.17 | % 22.90/6.17 | Simplifying 492 yields: % 22.90/6.17 | (387) e3 = e1 % 22.90/6.17 | % 22.90/6.17 | Equations (387) can reduce 74 to: % 22.90/6.17 | (188) $false % 22.90/6.17 | % 22.90/6.17 |-The branch is then unsatisfiable % 22.90/6.17 |-Branch two: % 22.90/6.17 | (183) ~ (all_0_29_29 = e1) % 22.90/6.17 | (524) all_0_30_30 = e1 | all_0_31_31 = e1 % 22.90/6.17 | % 22.90/6.17 | Equations (287) can reduce 183 to: % 22.90/6.17 | (74) ~ (e3 = e1) % 22.90/6.17 | % 22.90/6.17 +-Applying beta-rule and splitting (140), into two cases. % 22.90/6.17 |-Branch one: % 22.90/6.17 | (587) all_0_26_26 = e1 % 22.90/6.17 | % 22.90/6.17 | Combining equations (321,587) yields a new equation: % 22.90/6.17 | (379) e1 = e0 % 22.90/6.17 | % 22.90/6.17 | Equations (379) can reduce 153 to: % 22.90/6.17 | (188) $false % 22.90/6.17 | % 22.90/6.17 |-The branch is then unsatisfiable % 22.90/6.17 |-Branch two: % 22.90/6.17 | (257) ~ (all_0_26_26 = e1) % 22.90/6.17 | (2494) all_0_30_30 = e1 | all_0_34_34 = e1 | all_0_38_38 = e1 % 22.90/6.17 | % 22.90/6.17 +-Applying beta-rule and splitting (48), into two cases. % 22.90/6.17 |-Branch one: % 22.90/6.17 | (273) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) | ( ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35)) % 22.90/6.17 | % 22.90/6.17 +-Applying beta-rule and splitting (273), into two cases. % 22.90/6.17 |-Branch one: % 22.90/6.17 | (274) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) % 22.90/6.17 | % 22.90/6.17 +-Applying beta-rule and splitting (274), into two cases. % 22.90/6.17 |-Branch one: % 22.90/6.17 | (275) ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27) % 22.90/6.17 | % 22.90/6.17 | Applying alpha-rule on (275) yields: % 22.90/6.17 | (276) ~ (all_0_8_8 = all_0_24_24) % 22.90/6.17 | (277) ~ (all_0_9_9 = all_0_25_25) % 22.90/6.17 | (278) ~ (all_0_10_10 = all_0_26_26) % 22.90/6.17 | (279) ~ (all_0_11_11 = all_0_27_27) % 22.90/6.17 | % 22.90/6.17 | Equations (243,221) can reduce 276 to: % 22.90/6.17 | (188) $false % 22.90/6.17 | % 22.90/6.17 |-The branch is then unsatisfiable % 22.90/6.17 |-Branch two: % 22.90/6.17 | (281) ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31) % 22.90/6.17 | % 22.90/6.17 | Applying alpha-rule on (281) yields: % 22.90/6.17 | (282) ~ (all_0_12_12 = all_0_28_28) % 22.90/6.17 | (283) ~ (all_0_13_13 = all_0_29_29) % 22.90/6.17 | (284) ~ (all_0_14_14 = all_0_30_30) % 22.90/6.17 | (285) ~ (all_0_15_15 = all_0_31_31) % 22.90/6.17 | % 22.90/6.17 | Equations (3783,849) can reduce 282 to: % 22.90/6.17 | (188) $false % 22.90/6.17 | % 22.90/6.17 |-The branch is then unsatisfiable % 22.90/6.17 |-Branch two: % 22.90/6.17 | (607) ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35) % 22.90/6.17 | % 22.90/6.17 | Applying alpha-rule on (607) yields: % 22.90/6.17 | (608) ~ (all_0_16_16 = all_0_32_32) % 22.90/6.17 | (609) ~ (all_0_17_17 = all_0_33_33) % 22.90/6.17 | (610) ~ (all_0_18_18 = all_0_34_34) % 22.90/6.17 | (611) ~ (all_0_19_19 = all_0_35_35) % 22.90/6.17 | % 22.90/6.17 | Equations (5127,882) can reduce 609 to: % 22.90/6.17 | (188) $false % 22.90/6.17 | % 22.90/6.17 |-The branch is then unsatisfiable % 22.90/6.17 |-Branch two: % 22.90/6.17 | (613) ~ (all_0_20_20 = all_0_36_36) & ~ (all_0_21_21 = all_0_37_37) & ~ (all_0_22_22 = all_0_38_38) & ~ (all_0_23_23 = all_0_39_39) % 22.90/6.18 | % 22.90/6.18 | Applying alpha-rule on (613) yields: % 22.90/6.18 | (614) ~ (all_0_20_20 = all_0_36_36) % 22.90/6.18 | (615) ~ (all_0_21_21 = all_0_37_37) % 22.90/6.18 | (616) ~ (all_0_22_22 = all_0_38_38) % 22.90/6.18 | (617) ~ (all_0_23_23 = all_0_39_39) % 22.90/6.18 | % 22.90/6.18 | Equations (5100,386) can reduce 615 to: % 22.90/6.18 | (258) ~ (all_0_30_30 = e1) % 22.90/6.18 | % 22.90/6.18 +-Applying beta-rule and splitting (2494), into two cases. % 22.90/6.18 |-Branch one: % 22.90/6.18 | (525) all_0_30_30 = e1 % 22.90/6.18 | % 22.90/6.18 | Equations (525) can reduce 258 to: % 22.90/6.18 | (188) $false % 22.90/6.18 | % 22.90/6.18 |-The branch is then unsatisfiable % 22.90/6.18 |-Branch two: % 22.90/6.18 | (258) ~ (all_0_30_30 = e1) % 22.90/6.18 | (4962) all_0_34_34 = e1 | all_0_38_38 = e1 % 22.90/6.18 | % 22.90/6.18 +-Applying beta-rule and splitting (4962), into two cases. % 22.90/6.18 |-Branch one: % 22.90/6.18 | (256) all_0_34_34 = e1 % 22.90/6.18 | % 22.90/6.18 | Combining equations (256,248) yields a new equation: % 22.90/6.18 | (387) e3 = e1 % 22.90/6.18 | % 22.90/6.18 | Equations (387) can reduce 74 to: % 22.90/6.18 | (188) $false % 22.90/6.18 | % 22.90/6.18 |-The branch is then unsatisfiable % 22.90/6.18 |-Branch two: % 22.90/6.18 | (619) ~ (all_0_34_34 = e1) % 22.90/6.18 | (506) all_0_38_38 = e1 % 22.90/6.18 | % 22.90/6.18 | Combining equations (506,576) yields a new equation: % 22.90/6.18 | (343) e2 = e1 % 22.90/6.18 | % 22.90/6.18 | Equations (343) can reduce 128 to: % 22.90/6.18 | (188) $false % 22.90/6.18 | % 22.90/6.18 |-The branch is then unsatisfiable % 22.90/6.18 |-Branch two: % 22.90/6.18 | (443) ~ (all_0_27_27 = e1) % 22.90/6.18 | (930) all_0_27_27 = e0 % 22.90/6.18 | % 22.90/6.18 | Equations (930) can reduce 199 to: % 22.90/6.18 | (188) $false % 22.90/6.18 | % 22.90/6.18 |-The branch is then unsatisfiable % 22.90/6.18 |-Branch two: % 22.90/6.18 | (541) ~ (all_0_26_26 = e0) % 22.90/6.18 | (542) all_0_30_30 = e0 | all_0_34_34 = e0 | all_0_38_38 = e0 % 22.90/6.18 | % 22.90/6.18 +-Applying beta-rule and splitting (66), into two cases. % 22.90/6.18 |-Branch one: % 22.90/6.18 | (1082) all_0_24_24 = e0 % 22.90/6.18 | % 22.90/6.18 | Combining equations (221,1082) yields a new equation: % 22.90/6.18 | (425) e3 = e0 % 22.90/6.18 | % 22.90/6.18 | Simplifying 425 yields: % 22.90/6.18 | (370) e3 = e0 % 22.90/6.18 | % 22.90/6.18 | Equations (370) can reduce 79 to: % 22.90/6.18 | (188) $false % 22.90/6.18 | % 22.90/6.18 |-The branch is then unsatisfiable % 22.90/6.18 |-Branch two: % 22.90/6.18 | (220) ~ (all_0_24_24 = e0) % 22.90/6.18 | (1087) all_0_25_25 = e0 | all_0_26_26 = e0 | all_0_27_27 = e0 % 22.90/6.18 | % 22.90/6.18 | Equations (221) can reduce 220 to: % 22.90/6.18 | (79) ~ (e3 = e0) % 22.90/6.18 | % 22.90/6.18 +-Applying beta-rule and splitting (542), into two cases. % 22.90/6.18 |-Branch one: % 22.90/6.18 | (557) all_0_30_30 = e0 % 22.90/6.18 | % 22.90/6.18 | Equations (557) can reduce 151 to: % 22.90/6.18 | (541) ~ (all_0_26_26 = e0) % 22.90/6.18 | % 22.90/6.18 | Equations (557) can reduce 552 to: % 22.90/6.18 | (207) ~ (e2 = e0) % 22.90/6.18 | % 22.90/6.18 | Simplifying 207 yields: % 22.90/6.18 | (87) ~ (e2 = e0) % 22.90/6.18 | % 22.90/6.18 +-Applying beta-rule and splitting (1087), into two cases. % 22.90/6.18 |-Branch one: % 22.90/6.18 | (758) all_0_25_25 = e0 % 22.90/6.18 | % 22.90/6.18 | Combining equations (337,758) yields a new equation: % 22.90/6.18 | (535) e2 = e0 % 22.90/6.18 | % 22.90/6.18 | Simplifying 535 yields: % 22.90/6.18 | (536) e2 = e0 % 22.90/6.18 | % 22.90/6.18 | Equations (536) can reduce 87 to: % 22.90/6.18 | (188) $false % 22.90/6.18 | % 22.90/6.18 |-The branch is then unsatisfiable % 22.90/6.18 |-Branch two: % 22.90/6.18 | (726) ~ (all_0_25_25 = e0) % 22.90/6.18 | (1317) all_0_26_26 = e0 | all_0_27_27 = e0 % 22.90/6.18 | % 22.90/6.18 +-Applying beta-rule and splitting (10), into two cases. % 22.90/6.18 |-Branch one: % 22.90/6.18 | (416) all_0_31_31 = e3 % 22.90/6.18 | % 22.90/6.18 | Equations (416) can reduce 419 to: % 22.90/6.18 | (188) $false % 22.90/6.18 | % 22.90/6.18 |-The branch is then unsatisfiable % 22.90/6.18 |-Branch two: % 22.90/6.18 | (419) ~ (all_0_31_31 = e3) % 22.90/6.18 | (967) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0 % 22.90/6.18 | % 22.90/6.18 +-Applying beta-rule and splitting (1317), into two cases. % 22.90/6.18 |-Branch one: % 22.90/6.18 | (321) all_0_26_26 = e0 % 22.90/6.18 | % 22.90/6.18 | Equations (321) can reduce 541 to: % 22.90/6.18 | (188) $false % 22.90/6.18 | % 22.90/6.18 |-The branch is then unsatisfiable % 22.90/6.18 |-Branch two: % 22.90/6.18 | (541) ~ (all_0_26_26 = e0) % 22.90/6.18 | (930) all_0_27_27 = e0 % 22.90/6.18 | % 22.90/6.18 | Combining equations (930,4228) yields a new equation: % 22.90/6.18 | (3979) all_0_20_20 = e0 % 22.90/6.18 | % 22.90/6.18 | Equations (930) can reduce 119 to: % 22.90/6.18 | (836) ~ (all_0_31_31 = e0) % 22.90/6.18 | % 22.90/6.18 | Simplifying 836 yields: % 22.90/6.18 | (200) ~ (all_0_31_31 = e0) % 22.90/6.18 | % 22.90/6.18 +-Applying beta-rule and splitting (126), into two cases. % 22.90/6.18 |-Branch one: % 22.90/6.18 | (694) all_0_24_24 = e1 % 22.90/6.18 | % 22.90/6.18 | Combining equations (221,694) yields a new equation: % 22.90/6.18 | (492) e3 = e1 % 22.90/6.18 | % 22.90/6.18 | Simplifying 492 yields: % 22.90/6.18 | (387) e3 = e1 % 22.90/6.18 | % 22.90/6.18 | Equations (387) can reduce 74 to: % 22.90/6.18 | (188) $false % 22.90/6.18 | % 22.90/6.18 |-The branch is then unsatisfiable % 22.90/6.18 |-Branch two: % 22.90/6.18 | (218) ~ (all_0_24_24 = e1) % 22.90/6.18 | (946) all_0_25_25 = e1 | all_0_26_26 = e1 | all_0_27_27 = e1 % 22.90/6.18 | % 22.90/6.18 | Equations (221) can reduce 218 to: % 22.90/6.18 | (74) ~ (e3 = e1) % 22.90/6.18 | % 22.90/6.18 +-Applying beta-rule and splitting (134), into two cases. % 22.90/6.18 |-Branch one: % 22.90/6.18 | (354) all_0_27_27 = e1 % 22.90/6.18 | % 22.90/6.18 | Combining equations (930,354) yields a new equation: % 22.90/6.18 | (379) e1 = e0 % 22.90/6.18 | % 22.90/6.18 | Equations (379) can reduce 153 to: % 22.90/6.18 | (188) $false % 22.90/6.18 | % 22.90/6.18 |-The branch is then unsatisfiable % 22.90/6.18 |-Branch two: % 22.90/6.18 | (443) ~ (all_0_27_27 = e1) % 22.90/6.18 | (444) all_0_31_31 = e1 | all_0_35_35 = e1 | all_0_39_39 = e1 % 22.90/6.18 | % 22.90/6.18 +-Applying beta-rule and splitting (946), into two cases. % 22.90/6.18 |-Branch one: % 22.90/6.18 | (342) all_0_25_25 = e1 % 22.90/6.18 | % 22.90/6.18 | Combining equations (337,342) yields a new equation: % 22.90/6.18 | (484) e2 = e1 % 22.90/6.18 | % 22.90/6.18 | Simplifying 484 yields: % 22.90/6.18 | (343) e2 = e1 % 22.90/6.18 | % 22.90/6.18 | Equations (343) can reduce 128 to: % 22.90/6.18 | (188) $false % 22.90/6.18 | % 22.90/6.18 |-The branch is then unsatisfiable % 22.90/6.18 |-Branch two: % 22.90/6.18 | (345) ~ (all_0_25_25 = e1) % 22.90/6.18 | (950) all_0_26_26 = e1 | all_0_27_27 = e1 % 22.90/6.18 | % 22.90/6.18 | Equations (337) can reduce 345 to: % 22.90/6.18 | (128) ~ (e2 = e1) % 22.90/6.18 | % 22.90/6.18 +-Applying beta-rule and splitting (140), into two cases. % 22.90/6.18 |-Branch one: % 22.90/6.18 | (587) all_0_26_26 = e1 % 22.90/6.18 | % 22.90/6.18 | Combining equations (587,4534) yields a new equation: % 22.90/6.18 | (3419) all_0_16_16 = e1 % 22.90/6.18 | % 22.90/6.18 +-Applying beta-rule and splitting (48), into two cases. % 22.90/6.18 |-Branch one: % 22.90/6.18 | (273) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) | ( ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35)) % 22.90/6.18 | % 22.90/6.18 +-Applying beta-rule and splitting (273), into two cases. % 22.90/6.18 |-Branch one: % 22.90/6.18 | (274) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) % 22.90/6.18 | % 22.90/6.18 +-Applying beta-rule and splitting (274), into two cases. % 22.90/6.18 |-Branch one: % 22.90/6.18 | (275) ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27) % 22.90/6.18 | % 22.90/6.18 | Applying alpha-rule on (275) yields: % 22.90/6.18 | (276) ~ (all_0_8_8 = all_0_24_24) % 22.90/6.18 | (277) ~ (all_0_9_9 = all_0_25_25) % 22.90/6.18 | (278) ~ (all_0_10_10 = all_0_26_26) % 22.90/6.18 | (279) ~ (all_0_11_11 = all_0_27_27) % 22.90/6.18 | % 22.90/6.18 | Equations (243,221) can reduce 276 to: % 22.90/6.18 | (188) $false % 22.90/6.18 | % 22.90/6.18 |-The branch is then unsatisfiable % 22.90/6.18 |-Branch two: % 22.90/6.18 | (281) ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31) % 22.90/6.18 | % 22.90/6.18 | Applying alpha-rule on (281) yields: % 22.90/6.18 | (282) ~ (all_0_12_12 = all_0_28_28) % 22.90/6.18 | (283) ~ (all_0_13_13 = all_0_29_29) % 22.90/6.18 | (284) ~ (all_0_14_14 = all_0_30_30) % 22.90/6.18 | (285) ~ (all_0_15_15 = all_0_31_31) % 22.90/6.18 | % 22.90/6.18 | Equations (3783,849) can reduce 282 to: % 22.90/6.18 | (188) $false % 22.90/6.18 | % 22.90/6.18 |-The branch is then unsatisfiable % 22.90/6.18 |-Branch two: % 22.90/6.18 | (607) ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35) % 22.90/6.18 | % 22.90/6.18 | Applying alpha-rule on (607) yields: % 22.90/6.18 | (608) ~ (all_0_16_16 = all_0_32_32) % 22.90/6.18 | (609) ~ (all_0_17_17 = all_0_33_33) % 22.90/6.18 | (610) ~ (all_0_18_18 = all_0_34_34) % 22.90/6.18 | (611) ~ (all_0_19_19 = all_0_35_35) % 22.90/6.18 | % 22.90/6.18 | Equations (3419,438) can reduce 608 to: % 22.90/6.18 | (188) $false % 22.90/6.18 | % 22.90/6.18 |-The branch is then unsatisfiable % 22.90/6.18 |-Branch two: % 22.90/6.18 | (613) ~ (all_0_20_20 = all_0_36_36) & ~ (all_0_21_21 = all_0_37_37) & ~ (all_0_22_22 = all_0_38_38) & ~ (all_0_23_23 = all_0_39_39) % 22.90/6.18 | % 22.90/6.18 | Applying alpha-rule on (613) yields: % 22.90/6.18 | (614) ~ (all_0_20_20 = all_0_36_36) % 22.90/6.18 | (615) ~ (all_0_21_21 = all_0_37_37) % 22.90/6.18 | (616) ~ (all_0_22_22 = all_0_38_38) % 23.26/6.18 | (617) ~ (all_0_23_23 = all_0_39_39) % 23.26/6.18 | % 23.26/6.18 | Equations (3979,1232) can reduce 614 to: % 23.26/6.18 | (188) $false % 23.26/6.18 | % 23.26/6.18 |-The branch is then unsatisfiable % 23.26/6.18 |-Branch two: % 23.26/6.18 | (257) ~ (all_0_26_26 = e1) % 23.26/6.18 | (2494) all_0_30_30 = e1 | all_0_34_34 = e1 | all_0_38_38 = e1 % 23.26/6.18 | % 23.26/6.18 +-Applying beta-rule and splitting (444), into two cases. % 23.26/6.18 |-Branch one: % 23.26/6.18 | (483) all_0_31_31 = e1 % 23.26/6.18 | % 23.26/6.18 | Equations (483) can reduce 419 to: % 23.26/6.18 | (691) ~ (e3 = e1) % 23.26/6.18 | % 23.26/6.18 | Simplifying 691 yields: % 23.26/6.18 | (74) ~ (e3 = e1) % 23.26/6.18 | % 23.26/6.18 | Equations (483) can reduce 817 to: % 23.26/6.18 | (264) ~ (e2 = e1) % 23.26/6.18 | % 23.26/6.18 | Simplifying 264 yields: % 23.26/6.18 | (128) ~ (e2 = e1) % 23.26/6.18 | % 23.26/6.18 | Equations (483) can reduce 200 to: % 23.26/6.18 | (153) ~ (e1 = e0) % 23.26/6.18 | % 23.26/6.18 +-Applying beta-rule and splitting (2494), into two cases. % 23.26/6.18 |-Branch one: % 23.26/6.18 | (525) all_0_30_30 = e1 % 23.26/6.18 | % 23.26/6.18 | Combining equations (557,525) yields a new equation: % 23.26/6.18 | (379) e1 = e0 % 23.26/6.18 | % 23.26/6.18 | Equations (379) can reduce 153 to: % 23.26/6.18 | (188) $false % 23.26/6.18 | % 23.26/6.18 |-The branch is then unsatisfiable % 23.26/6.18 |-Branch two: % 23.26/6.18 | (258) ~ (all_0_30_30 = e1) % 23.26/6.18 | (4962) all_0_34_34 = e1 | all_0_38_38 = e1 % 23.26/6.18 | % 23.26/6.18 +-Applying beta-rule and splitting (4962), into two cases. % 23.26/6.18 |-Branch one: % 23.26/6.18 | (256) all_0_34_34 = e1 % 23.26/6.18 | % 23.26/6.18 | Combining equations (256,248) yields a new equation: % 23.26/6.18 | (387) e3 = e1 % 23.26/6.18 | % 23.26/6.18 | Equations (387) can reduce 74 to: % 23.26/6.18 | (188) $false % 23.26/6.18 | % 23.26/6.18 |-The branch is then unsatisfiable % 23.26/6.18 |-Branch two: % 23.26/6.18 | (619) ~ (all_0_34_34 = e1) % 23.26/6.18 | (506) all_0_38_38 = e1 % 23.26/6.18 | % 23.26/6.18 | Combining equations (506,576) yields a new equation: % 23.26/6.18 | (343) e2 = e1 % 23.26/6.18 | % 23.26/6.18 | Equations (343) can reduce 128 to: % 23.26/6.18 | (188) $false % 23.26/6.18 | % 23.26/6.18 |-The branch is then unsatisfiable % 23.26/6.18 |-Branch two: % 23.26/6.18 | (487) ~ (all_0_31_31 = e1) % 23.26/6.18 | (488) all_0_35_35 = e1 | all_0_39_39 = e1 % 23.26/6.18 | % 23.26/6.18 +-Applying beta-rule and splitting (488), into two cases. % 23.26/6.18 |-Branch one: % 23.26/6.18 | (398) all_0_35_35 = e1 % 23.26/6.18 | % 23.26/6.18 | Combining equations (394,398) yields a new equation: % 23.26/6.18 | (484) e2 = e1 % 23.26/6.18 | % 23.26/6.18 | Simplifying 484 yields: % 23.26/6.18 | (343) e2 = e1 % 23.26/6.18 | % 23.26/6.18 | Equations (343) can reduce 128 to: % 23.26/6.18 | (188) $false % 23.26/6.18 | % 23.26/6.18 |-The branch is then unsatisfiable % 23.26/6.18 |-Branch two: % 23.26/6.18 | (261) ~ (all_0_35_35 = e1) % 23.26/6.18 | (195) all_0_39_39 = e1 % 23.26/6.18 | % 23.26/6.18 | Combining equations (187,195) yields a new equation: % 23.26/6.18 | (492) e3 = e1 % 23.26/6.18 | % 23.26/6.18 | Simplifying 492 yields: % 23.26/6.18 | (387) e3 = e1 % 23.26/6.18 | % 23.26/6.18 | Equations (387) can reduce 74 to: % 23.26/6.18 | (188) $false % 23.26/6.18 | % 23.26/6.18 |-The branch is then unsatisfiable % 23.26/6.18 |-Branch two: % 23.26/6.18 | (313) ~ (all_0_30_30 = e0) % 23.26/6.18 | (560) all_0_34_34 = e0 | all_0_38_38 = e0 % 23.26/6.18 | % 23.26/6.18 +-Applying beta-rule and splitting (560), into two cases. % 23.26/6.18 |-Branch one: % 23.26/6.18 | (620) all_0_34_34 = e0 % 23.26/6.18 | % 23.26/6.18 | Combining equations (248,620) yields a new equation: % 23.26/6.18 | (425) e3 = e0 % 23.26/6.18 | % 23.26/6.18 | Simplifying 425 yields: % 23.26/6.18 | (370) e3 = e0 % 23.26/6.18 | % 23.26/6.18 | Equations (370) can reduce 79 to: % 23.26/6.18 | (188) $false % 23.26/6.18 | % 23.26/6.18 |-The branch is then unsatisfiable % 23.26/6.18 |-Branch two: % 23.26/6.18 | (245) ~ (all_0_34_34 = e0) % 23.26/6.18 | (583) all_0_38_38 = e0 % 23.26/6.18 | % 23.26/6.18 | Combining equations (576,583) yields a new equation: % 23.26/6.18 | (535) e2 = e0 % 23.26/6.18 | % 23.26/6.18 | Simplifying 535 yields: % 23.26/6.18 | (536) e2 = e0 % 23.26/6.18 | % 23.26/6.18 | Equations (536) can reduce 87 to: % 23.26/6.18 | (188) $false % 23.26/6.18 | % 23.26/6.18 |-The branch is then unsatisfiable % 23.26/6.18 |-Branch two: % 23.26/6.18 | (532) ~ (all_0_25_25 = e2) % 23.26/6.18 | (2944) all_0_25_25 = e1 | all_0_25_25 = e0 % 23.26/6.18 | % 23.27/6.18 +-Applying beta-rule and splitting (2944), into two cases. % 23.27/6.18 |-Branch one: % 23.27/6.18 | (342) all_0_25_25 = e1 % 23.27/6.18 | % 23.27/6.18 | Equations (342) can reduce 345 to: % 23.27/6.18 | (188) $false % 23.27/6.18 | % 23.27/6.18 |-The branch is then unsatisfiable % 23.27/6.18 |-Branch two: % 23.27/6.18 | (345) ~ (all_0_25_25 = e1) % 23.27/6.18 | (758) all_0_25_25 = e0 % 23.27/6.18 | % 23.27/6.18 | Equations (758) can reduce 726 to: % 23.27/6.18 | (188) $false % 23.27/6.18 | % 23.27/6.18 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (319) ~ (all_0_35_35 = e2) % 23.27/6.19 | (397) all_0_35_35 = e1 | all_0_35_35 = e0 % 23.27/6.19 | % 23.27/6.19 +-Applying beta-rule and splitting (1658), into two cases. % 23.27/6.19 |-Branch one: % 23.27/6.19 | (252) all_0_34_34 = e2 % 23.27/6.19 | % 23.27/6.19 | Combining equations (252,248) yields a new equation: % 23.27/6.19 | (333) e3 = e2 % 23.27/6.19 | % 23.27/6.19 | Equations (333) can reduce 62 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (247) ~ (all_0_34_34 = e2) % 23.27/6.19 | (394) all_0_35_35 = e2 % 23.27/6.19 | % 23.27/6.19 | Equations (394) can reduce 319 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (885) ~ (all_0_33_33 = e0) % 23.27/6.19 | (886) all_0_37_37 = e0 % 23.27/6.19 | % 23.27/6.19 | Equations (886) can reduce 203 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (244) ~ (all_0_34_34 = e3) % 23.27/6.19 | (489) all_0_38_38 = e3 % 23.27/6.19 | % 23.27/6.19 | Equations (489) can reduce 499 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (620) all_0_34_34 = e0 % 23.27/6.19 | (398) all_0_35_35 = e1 % 23.27/6.19 | % 23.27/6.19 | Equations (398) can reduce 261 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (350) ~ (all_0_32_32 = e1) % 23.27/6.19 | (391) all_0_32_32 = e0 % 23.27/6.19 | % 23.27/6.19 | Equations (391) can reduce 403 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (252) all_0_34_34 = e2 % 23.27/6.19 | (383) all_0_33_33 = e1 % 23.27/6.19 | % 23.27/6.19 | Equations (383) can reduce 114 to: % 23.27/6.19 | (345) ~ (all_0_25_25 = e1) % 23.27/6.19 | % 23.27/6.19 | Equations (252) can reduce 131 to: % 23.27/6.19 | (538) ~ (all_0_26_26 = e2) % 23.27/6.19 | % 23.27/6.19 | Equations (383) can reduce 106 to: % 23.27/6.19 | (260) ~ (all_0_35_35 = e1) % 23.27/6.19 | % 23.27/6.19 | Simplifying 260 yields: % 23.27/6.19 | (261) ~ (all_0_35_35 = e1) % 23.27/6.19 | % 23.27/6.19 | Equations (383) can reduce 182 to: % 23.27/6.19 | (1149) ~ (all_0_37_37 = e1) % 23.27/6.19 | % 23.27/6.19 | Simplifying 1149 yields: % 23.27/6.19 | (504) ~ (all_0_37_37 = e1) % 23.27/6.19 | % 23.27/6.19 +-Applying beta-rule and splitting (141), into two cases. % 23.27/6.19 |-Branch one: % 23.27/6.19 | (391) all_0_32_32 = e0 % 23.27/6.19 | % 23.27/6.19 | Equations (391) can reduce 403 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (403) ~ (all_0_32_32 = e0) % 23.27/6.19 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 23.27/6.19 | % 23.27/6.19 +-Applying beta-rule and splitting (404), into two cases. % 23.27/6.19 |-Branch one: % 23.27/6.19 | (882) all_0_33_33 = e0 % 23.27/6.19 | % 23.27/6.19 | Combining equations (383,882) yields a new equation: % 23.27/6.19 | (510) e1 = e0 % 23.27/6.19 | % 23.27/6.19 | Simplifying 510 yields: % 23.27/6.19 | (379) e1 = e0 % 23.27/6.19 | % 23.27/6.19 | Equations (379) can reduce 153 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (885) ~ (all_0_33_33 = e0) % 23.27/6.19 | (1032) all_0_34_34 = e0 | all_0_35_35 = e0 % 23.27/6.19 | % 23.27/6.19 +-Applying beta-rule and splitting (1032), into two cases. % 23.27/6.19 |-Branch one: % 23.27/6.19 | (620) all_0_34_34 = e0 % 23.27/6.19 | % 23.27/6.19 | Combining equations (252,620) yields a new equation: % 23.27/6.19 | (535) e2 = e0 % 23.27/6.19 | % 23.27/6.19 | Simplifying 535 yields: % 23.27/6.19 | (536) e2 = e0 % 23.27/6.19 | % 23.27/6.19 | Equations (536) can reduce 87 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (245) ~ (all_0_34_34 = e0) % 23.27/6.19 | (401) all_0_35_35 = e0 % 23.27/6.19 | % 23.27/6.19 | Equations (401) can reduce 147 to: % 23.27/6.19 | (200) ~ (all_0_31_31 = e0) % 23.27/6.19 | % 23.27/6.19 | Equations (401) can reduce 261 to: % 23.27/6.19 | (209) ~ (e1 = e0) % 23.27/6.19 | % 23.27/6.19 | Simplifying 209 yields: % 23.27/6.19 | (153) ~ (e1 = e0) % 23.27/6.19 | % 23.27/6.19 +-Applying beta-rule and splitting (156), into two cases. % 23.27/6.19 |-Branch one: % 23.27/6.19 | (445) all_0_36_36 = e1 % 23.27/6.19 | % 23.27/6.19 | Combining equations (1232,445) yields a new equation: % 23.27/6.19 | (379) e1 = e0 % 23.27/6.19 | % 23.27/6.19 | Equations (379) can reduce 153 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (352) ~ (all_0_36_36 = e1) % 23.27/6.19 | (448) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1 % 23.27/6.19 | % 23.27/6.19 +-Applying beta-rule and splitting (448), into two cases. % 23.27/6.19 |-Branch one: % 23.27/6.19 | (386) all_0_37_37 = e1 % 23.27/6.19 | % 23.27/6.19 | Equations (386) can reduce 504 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (504) ~ (all_0_37_37 = e1) % 23.27/6.19 | (505) all_0_38_38 = e1 | all_0_39_39 = e1 % 23.27/6.19 | % 23.27/6.19 +-Applying beta-rule and splitting (505), into two cases. % 23.27/6.19 |-Branch one: % 23.27/6.19 | (506) all_0_38_38 = e1 % 23.27/6.19 | % 23.27/6.19 | Equations (506) can reduce 44 to: % 23.27/6.19 | (257) ~ (all_0_26_26 = e1) % 23.27/6.19 | % 23.27/6.19 | Equations (506) can reduce 63 to: % 23.27/6.19 | (504) ~ (all_0_37_37 = e1) % 23.27/6.19 | % 23.27/6.19 +-Applying beta-rule and splitting (111), into two cases. % 23.27/6.19 |-Branch one: % 23.27/6.19 | (377) all_0_37_37 = e3 % 23.27/6.19 | % 23.27/6.19 | Equations (377) can reduce 481 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (481) ~ (all_0_37_37 = e3) % 23.27/6.19 | (2566) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0 % 23.27/6.19 | % 23.27/6.19 +-Applying beta-rule and splitting (70), into two cases. % 23.27/6.19 |-Branch one: % 23.27/6.19 | (543) all_0_26_26 = e3 % 23.27/6.19 | % 23.27/6.19 | Equations (543) can reduce 225 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (225) ~ (all_0_26_26 = e3) % 23.27/6.19 | (546) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0 % 23.27/6.19 | % 23.27/6.19 +-Applying beta-rule and splitting (546), into two cases. % 23.27/6.19 |-Branch one: % 23.27/6.19 | (534) all_0_26_26 = e2 % 23.27/6.19 | % 23.27/6.19 | Equations (534) can reduce 538 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (538) ~ (all_0_26_26 = e2) % 23.27/6.19 | (586) all_0_26_26 = e1 | all_0_26_26 = e0 % 23.27/6.19 | % 23.27/6.19 +-Applying beta-rule and splitting (586), into two cases. % 23.27/6.19 |-Branch one: % 23.27/6.19 | (587) all_0_26_26 = e1 % 23.27/6.19 | % 23.27/6.19 | Equations (587) can reduce 257 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (257) ~ (all_0_26_26 = e1) % 23.27/6.19 | (321) all_0_26_26 = e0 % 23.27/6.19 | % 23.27/6.19 | Equations (321) can reduce 71 to: % 23.27/6.19 | (726) ~ (all_0_25_25 = e0) % 23.27/6.19 | % 23.27/6.19 | Equations (321) can reduce 151 to: % 23.27/6.19 | (312) ~ (all_0_30_30 = e0) % 23.27/6.19 | % 23.27/6.19 | Simplifying 312 yields: % 23.27/6.19 | (313) ~ (all_0_30_30 = e0) % 23.27/6.19 | % 23.27/6.19 +-Applying beta-rule and splitting (165), into two cases. % 23.27/6.19 |-Branch one: % 23.27/6.19 | (363) all_0_25_25 = e3 % 23.27/6.19 | % 23.27/6.19 | Equations (363) can reduce 223 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (223) ~ (all_0_25_25 = e3) % 23.27/6.19 | (2809) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0 % 23.27/6.19 | % 23.27/6.19 +-Applying beta-rule and splitting (2809), into two cases. % 23.27/6.19 |-Branch one: % 23.27/6.19 | (337) all_0_25_25 = e2 % 23.27/6.19 | % 23.27/6.19 | Equations (337) can reduce 31 to: % 23.27/6.19 | (338) ~ (all_0_37_37 = e2) % 23.27/6.19 | % 23.27/6.19 | Simplifying 338 yields: % 23.27/6.19 | (339) ~ (all_0_37_37 = e2) % 23.27/6.19 | % 23.27/6.19 +-Applying beta-rule and splitting (27), into two cases. % 23.27/6.19 |-Branch one: % 23.27/6.19 | (763) all_0_28_28 = e0 % 23.27/6.19 | % 23.27/6.19 | Equations (763) can reduce 311 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (311) ~ (all_0_28_28 = e0) % 23.27/6.19 | (768) all_0_29_29 = e0 | all_0_30_30 = e0 | all_0_31_31 = e0 % 23.27/6.19 | % 23.27/6.19 +-Applying beta-rule and splitting (768), into two cases. % 23.27/6.19 |-Branch one: % 23.27/6.19 | (306) all_0_29_29 = e0 % 23.27/6.19 | % 23.27/6.19 | Equations (306) can reduce 35 to: % 23.27/6.19 | (314) ~ (all_0_37_37 = e0) % 23.27/6.19 | % 23.27/6.19 | Simplifying 314 yields: % 23.27/6.19 | (203) ~ (all_0_37_37 = e0) % 23.27/6.19 | % 23.27/6.19 +-Applying beta-rule and splitting (2566), into two cases. % 23.27/6.19 |-Branch one: % 23.27/6.19 | (814) all_0_37_37 = e2 % 23.27/6.19 | % 23.27/6.19 | Equations (814) can reduce 339 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (339) ~ (all_0_37_37 = e2) % 23.27/6.19 | (2755) all_0_37_37 = e1 | all_0_37_37 = e0 % 23.27/6.19 | % 23.27/6.19 +-Applying beta-rule and splitting (2755), into two cases. % 23.27/6.19 |-Branch one: % 23.27/6.19 | (386) all_0_37_37 = e1 % 23.27/6.19 | % 23.27/6.19 | Equations (386) can reduce 504 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (504) ~ (all_0_37_37 = e1) % 23.27/6.19 | (886) all_0_37_37 = e0 % 23.27/6.19 | % 23.27/6.19 | Equations (886) can reduce 203 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (286) ~ (all_0_29_29 = e0) % 23.27/6.19 | (798) all_0_30_30 = e0 | all_0_31_31 = e0 % 23.27/6.19 | % 23.27/6.19 +-Applying beta-rule and splitting (798), into two cases. % 23.27/6.19 |-Branch one: % 23.27/6.19 | (557) all_0_30_30 = e0 % 23.27/6.19 | % 23.27/6.19 | Equations (557) can reduce 313 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (313) ~ (all_0_30_30 = e0) % 23.27/6.19 | (938) all_0_31_31 = e0 % 23.27/6.19 | % 23.27/6.19 | Equations (938) can reduce 200 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (532) ~ (all_0_25_25 = e2) % 23.27/6.19 | (2944) all_0_25_25 = e1 | all_0_25_25 = e0 % 23.27/6.19 | % 23.27/6.19 +-Applying beta-rule and splitting (2944), into two cases. % 23.27/6.19 |-Branch one: % 23.27/6.19 | (342) all_0_25_25 = e1 % 23.27/6.19 | % 23.27/6.19 | Equations (342) can reduce 345 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (345) ~ (all_0_25_25 = e1) % 23.27/6.19 | (758) all_0_25_25 = e0 % 23.27/6.19 | % 23.27/6.19 | Equations (758) can reduce 726 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (263) ~ (all_0_38_38 = e1) % 23.27/6.19 | (195) all_0_39_39 = e1 % 23.27/6.19 | % 23.27/6.19 | Combining equations (195,187) yields a new equation: % 23.27/6.19 | (387) e3 = e1 % 23.27/6.19 | % 23.27/6.19 | Equations (387) can reduce 74 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (1876) ~ (all_0_24_24 = e3) % 23.27/6.19 | (1877) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0 % 23.27/6.19 | % 23.27/6.19 +-Applying beta-rule and splitting (1877), into two cases. % 23.27/6.19 |-Branch one: % 23.27/6.19 | (332) all_0_24_24 = e2 % 23.27/6.19 | % 23.27/6.19 | Equations (332) can reduce 219 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (219) ~ (all_0_24_24 = e2) % 23.27/6.19 | (1881) all_0_24_24 = e1 | all_0_24_24 = e0 % 23.27/6.19 | % 23.27/6.19 +-Applying beta-rule and splitting (1881), into two cases. % 23.27/6.19 |-Branch one: % 23.27/6.19 | (694) all_0_24_24 = e1 % 23.27/6.19 | % 23.27/6.19 | Equations (694) can reduce 218 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (218) ~ (all_0_24_24 = e1) % 23.27/6.19 | (1082) all_0_24_24 = e0 % 23.27/6.19 | % 23.27/6.19 | Equations (1082) can reduce 220 to: % 23.27/6.19 | (188) $false % 23.27/6.19 | % 23.27/6.19 |-The branch is then unsatisfiable % 23.27/6.19 |-Branch two: % 23.27/6.19 | (694) all_0_24_24 = e1 % 23.27/6.19 | (543) all_0_26_26 = e3 % 23.27/6.19 | % 23.27/6.19 | Combining equations (694,4227) yields a new equation: % 23.27/6.19 | (5445) all_0_1_1 = e1 % 23.27/6.19 | % 23.27/6.19 | Equations (694) can reduce 149 to: % 23.27/6.19 | (3582) ~ (all_0_25_25 = e1) % 23.27/6.19 | % 23.27/6.19 | Simplifying 3582 yields: % 23.27/6.19 | (345) ~ (all_0_25_25 = e1) % 23.27/6.19 | % 23.27/6.19 | Equations (694,543) can reduce 60 to: % 23.27/6.19 | (691) ~ (e3 = e1) % 23.27/6.19 | % 23.27/6.19 | Simplifying 691 yields: % 23.27/6.19 | (74) ~ (e3 = e1) % 23.27/6.19 | % 23.27/6.19 | Equations (694) can reduce 160 to: % 23.27/6.19 | (3584) ~ (all_0_27_27 = e1) % 23.27/6.19 | % 23.27/6.19 | Simplifying 3584 yields: % 23.27/6.19 | (443) ~ (all_0_27_27 = e1) % 23.27/6.19 | % 23.27/6.19 | Equations (694) can reduce 219 to: % 23.27/6.19 | (264) ~ (e2 = e1) % 23.27/6.19 | % 23.27/6.19 | Simplifying 264 yields: % 23.27/6.19 | (128) ~ (e2 = e1) % 23.27/6.19 | % 23.27/6.19 | Equations (694) can reduce 220 to: % 23.27/6.19 | (153) ~ (e1 = e0) % 23.27/6.19 | % 23.27/6.19 | Equations (543) can reduce 71 to: % 23.27/6.19 | (223) ~ (all_0_25_25 = e3) % 23.27/6.19 | % 23.27/6.19 | Equations (543) can reduce 18 to: % 23.27/6.19 | (226) ~ (all_0_27_27 = e3) % 23.27/6.19 | % 23.27/6.19 | Simplifying 226 yields: % 23.27/6.19 | (227) ~ (all_0_27_27 = e3) % 23.27/6.19 | % 23.27/6.19 | Equations (543) can reduce 44 to: % 23.27/6.19 | (673) ~ (all_0_38_38 = e3) % 23.27/6.19 | % 23.27/6.19 | Simplifying 673 yields: % 23.27/6.19 | (499) ~ (all_0_38_38 = e3) % 23.27/6.19 | % 23.27/6.19 | From (694) and (4230) follows: % 23.27/6.19 | (5460) op(e0, e1) = all_0_0_0 % 23.27/6.19 | % 23.27/6.19 +-Applying beta-rule and splitting (90), into two cases. % 23.27/6.19 |-Branch one: % 23.27/6.20 | (5461) ~ (all_0_0_0 = e2) % 23.27/6.20 | % 23.27/6.20 | Instantiating formula (58) with e0, e1, all_0_0_0, all_0_38_38 and discharging atoms op(e0, e1) = all_0_0_0, op(e0, e1) = all_0_38_38, yields: % 23.27/6.20 | (5462) all_0_0_0 = all_0_38_38 % 23.27/6.20 | % 23.27/6.20 | Equations (5462) can reduce 5461 to: % 23.27/6.20 | (554) ~ (all_0_38_38 = e2) % 23.27/6.20 | % 23.27/6.20 +-Applying beta-rule and splitting (98), into two cases. % 23.27/6.20 |-Branch one: % 23.27/6.20 | (732) all_0_36_36 = e2 % 23.27/6.20 | % 23.27/6.20 | Combining equations (732,1232) yields a new equation: % 23.27/6.20 | (535) e2 = e0 % 23.27/6.20 | % 23.27/6.20 | Simplifying 535 yields: % 23.27/6.20 | (536) e2 = e0 % 23.27/6.20 | % 23.27/6.20 | Equations (536) can reduce 87 to: % 23.27/6.20 | (188) $false % 23.27/6.20 | % 23.27/6.20 |-The branch is then unsatisfiable % 23.27/6.20 |-Branch two: % 23.27/6.20 | (828) ~ (all_0_36_36 = e2) % 23.27/6.20 | (829) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2 % 23.27/6.20 | % 23.27/6.20 +-Applying beta-rule and splitting (829), into two cases. % 23.27/6.20 |-Branch one: % 23.27/6.20 | (814) all_0_37_37 = e2 % 23.27/6.20 | % 23.27/6.20 | Equations (814) can reduce 31 to: % 23.27/6.20 | (532) ~ (all_0_25_25 = e2) % 23.27/6.20 | % 23.27/6.20 | Equations (814) can reduce 182 to: % 23.27/6.20 | (813) ~ (all_0_33_33 = e2) % 23.27/6.20 | % 23.27/6.20 | Equations (814) can reduce 63 to: % 23.27/6.20 | (553) ~ (all_0_38_38 = e2) % 23.27/6.20 | % 23.27/6.20 | Simplifying 553 yields: % 23.27/6.20 | (554) ~ (all_0_38_38 = e2) % 23.27/6.20 | % 23.27/6.20 | Equations (814) can reduce 481 to: % 23.27/6.20 | (340) ~ (e3 = e2) % 23.27/6.20 | % 23.27/6.20 | Simplifying 340 yields: % 23.27/6.20 | (62) ~ (e3 = e2) % 23.27/6.20 | % 23.27/6.20 | Equations (814) can reduce 203 to: % 23.27/6.20 | (87) ~ (e2 = e0) % 23.27/6.20 | % 23.27/6.20 +-Applying beta-rule and splitting (22), into two cases. % 23.27/6.20 |-Branch one: % 23.27/6.20 | (342) all_0_25_25 = e1 % 23.27/6.20 | % 23.27/6.20 | Equations (342) can reduce 345 to: % 23.27/6.20 | (188) $false % 23.27/6.20 | % 23.27/6.20 |-The branch is then unsatisfiable % 23.27/6.20 |-Branch two: % 23.27/6.20 | (345) ~ (all_0_25_25 = e1) % 23.27/6.20 | (346) all_0_29_29 = e1 | all_0_33_33 = e1 | all_0_37_37 = e1 % 23.27/6.20 | % 23.27/6.20 +-Applying beta-rule and splitting (346), into two cases. % 23.27/6.20 |-Branch one: % 23.27/6.20 | (303) all_0_29_29 = e1 % 23.27/6.20 | % 23.27/6.20 | Equations (303) can reduce 183 to: % 23.27/6.20 | (188) $false % 23.27/6.20 | % 23.27/6.20 |-The branch is then unsatisfiable % 23.27/6.20 |-Branch two: % 23.27/6.20 | (183) ~ (all_0_29_29 = e1) % 23.27/6.20 | (382) all_0_33_33 = e1 | all_0_37_37 = e1 % 23.27/6.20 | % 23.27/6.20 +-Applying beta-rule and splitting (156), into two cases. % 23.27/6.20 |-Branch one: % 23.27/6.20 | (445) all_0_36_36 = e1 % 23.27/6.20 | % 23.27/6.20 | Combining equations (445,1232) yields a new equation: % 23.27/6.20 | (510) e1 = e0 % 23.27/6.20 | % 23.27/6.20 | Simplifying 510 yields: % 23.27/6.20 | (379) e1 = e0 % 23.27/6.20 | % 23.27/6.20 | Equations (379) can reduce 153 to: % 23.27/6.20 | (188) $false % 23.27/6.20 | % 23.27/6.20 |-The branch is then unsatisfiable % 23.27/6.20 |-Branch two: % 23.27/6.20 | (352) ~ (all_0_36_36 = e1) % 23.27/6.20 | (448) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1 % 23.27/6.20 | % 23.27/6.20 +-Applying beta-rule and splitting (382), into two cases. % 23.27/6.20 |-Branch one: % 23.27/6.20 | (383) all_0_33_33 = e1 % 23.27/6.20 | % 23.27/6.20 | Equations (383) can reduce 114 to: % 23.27/6.20 | (345) ~ (all_0_25_25 = e1) % 23.27/6.20 | % 23.27/6.20 | Equations (383) can reduce 2 to: % 23.27/6.20 | (350) ~ (all_0_32_32 = e1) % 23.27/6.20 | % 23.27/6.20 | Equations (383) can reduce 106 to: % 23.27/6.20 | (260) ~ (all_0_35_35 = e1) % 23.27/6.20 | % 23.27/6.20 | Simplifying 260 yields: % 23.27/6.20 | (261) ~ (all_0_35_35 = e1) % 23.27/6.20 | % 23.27/6.20 | Equations (383) can reduce 813 to: % 23.27/6.20 | (264) ~ (e2 = e1) % 23.27/6.20 | % 23.27/6.20 | Simplifying 264 yields: % 23.27/6.20 | (128) ~ (e2 = e1) % 23.27/6.20 | % 23.27/6.20 +-Applying beta-rule and splitting (448), into two cases. % 23.27/6.20 |-Branch one: % 23.27/6.20 | (386) all_0_37_37 = e1 % 23.27/6.20 | % 23.27/6.20 | Combining equations (814,386) yields a new equation: % 23.27/6.20 | (484) e2 = e1 % 23.27/6.20 | % 23.27/6.20 | Simplifying 484 yields: % 23.27/6.20 | (343) e2 = e1 % 23.27/6.20 | % 23.27/6.20 | Equations (343) can reduce 128 to: % 23.27/6.20 | (188) $false % 23.27/6.20 | % 23.27/6.20 |-The branch is then unsatisfiable % 23.27/6.20 |-Branch two: % 23.27/6.20 | (504) ~ (all_0_37_37 = e1) % 23.27/6.20 | (505) all_0_38_38 = e1 | all_0_39_39 = e1 % 23.27/6.20 | % 23.27/6.20 +-Applying beta-rule and splitting (505), into two cases. % 23.27/6.20 |-Branch one: % 23.27/6.20 | (506) all_0_38_38 = e1 % 23.27/6.20 | % 23.27/6.20 | Equations (506) can reduce 105 to: % 23.27/6.20 | (619) ~ (all_0_34_34 = e1) % 23.27/6.20 | % 23.27/6.20 | Equations (506) can reduce 499 to: % 23.27/6.20 | (691) ~ (e3 = e1) % 23.27/6.20 | % 23.27/6.20 | Simplifying 691 yields: % 23.27/6.20 | (74) ~ (e3 = e1) % 23.27/6.20 | % 23.27/6.20 | Equations (506) can reduce 554 to: % 23.27/6.20 | (264) ~ (e2 = e1) % 23.27/6.20 | % 23.27/6.20 | Simplifying 264 yields: % 23.27/6.20 | (128) ~ (e2 = e1) % 23.27/6.20 | % 23.27/6.20 +-Applying beta-rule and splitting (54), into two cases. % 23.27/6.20 |-Branch one: % 23.27/6.20 | (408) all_0_32_32 = e3 % 23.27/6.20 | % 23.27/6.20 | Equations (408) can reduce 95 to: % 23.27/6.20 | (229) ~ (all_0_28_28 = e3) % 23.27/6.20 | % 23.27/6.20 | Equations (408) can reduce 166 to: % 23.27/6.20 | (1986) ~ (all_0_34_34 = e3) % 23.27/6.20 | % 23.27/6.20 | Simplifying 1986 yields: % 23.27/6.20 | (244) ~ (all_0_34_34 = e3) % 23.27/6.20 | % 23.27/6.20 | Equations (408) can reduce 89 to: % 23.27/6.20 | (1903) ~ (all_0_35_35 = e3) % 23.27/6.20 | % 23.27/6.20 | Simplifying 1903 yields: % 23.27/6.20 | (389) ~ (all_0_35_35 = e3) % 23.27/6.20 | % 23.27/6.20 | Equations (408) can reduce 350 to: % 23.27/6.20 | (74) ~ (e3 = e1) % 23.27/6.20 | % 23.27/6.20 | Equations (408) can reduce 403 to: % 23.27/6.20 | (79) ~ (e3 = e0) % 23.27/6.20 | % 23.27/6.20 +-Applying beta-rule and splitting (162), into two cases. % 23.27/6.20 |-Branch one: % 23.27/6.20 | (332) all_0_24_24 = e2 % 23.27/6.20 | % 23.27/6.20 | Combining equations (694,332) yields a new equation: % 23.27/6.20 | (343) e2 = e1 % 23.27/6.20 | % 23.27/6.20 | Equations (343) can reduce 128 to: % 23.27/6.20 | (188) $false % 23.27/6.20 | % 23.27/6.20 |-The branch is then unsatisfiable % 23.27/6.20 |-Branch two: % 23.27/6.20 | (219) ~ (all_0_24_24 = e2) % 23.27/6.20 | (718) all_0_28_28 = e2 | all_0_32_32 = e2 | all_0_36_36 = e2 % 23.27/6.20 | % 23.27/6.20 | Equations (694) can reduce 219 to: % 23.27/6.20 | (264) ~ (e2 = e1) % 23.27/6.20 | % 23.27/6.20 | Simplifying 264 yields: % 23.27/6.20 | (128) ~ (e2 = e1) % 23.27/6.20 | % 23.27/6.20 +-Applying beta-rule and splitting (158), into two cases. % 23.27/6.20 |-Branch one: % 23.27/6.20 | (332) all_0_24_24 = e2 % 23.27/6.20 | % 23.27/6.20 | Combining equations (694,332) yields a new equation: % 23.27/6.20 | (343) e2 = e1 % 23.27/6.20 | % 23.27/6.20 | Equations (343) can reduce 128 to: % 23.27/6.20 | (188) $false % 23.27/6.20 | % 23.27/6.20 |-The branch is then unsatisfiable % 23.27/6.20 |-Branch two: % 23.27/6.20 | (219) ~ (all_0_24_24 = e2) % 23.27/6.20 | (336) all_0_25_25 = e2 | all_0_26_26 = e2 | all_0_27_27 = e2 % 23.27/6.20 | % 23.27/6.20 +-Applying beta-rule and splitting (336), into two cases. % 23.27/6.20 |-Branch one: % 23.27/6.20 | (337) all_0_25_25 = e2 % 23.27/6.20 | % 23.27/6.20 | Equations (337) can reduce 532 to: % 23.27/6.20 | (188) $false % 23.27/6.20 | % 23.27/6.20 |-The branch is then unsatisfiable % 23.27/6.20 |-Branch two: % 23.27/6.20 | (532) ~ (all_0_25_25 = e2) % 23.27/6.20 | (533) all_0_26_26 = e2 | all_0_27_27 = e2 % 23.27/6.20 | % 23.27/6.20 +-Applying beta-rule and splitting (533), into two cases. % 23.27/6.20 |-Branch one: % 23.27/6.20 | (534) all_0_26_26 = e2 % 23.27/6.20 | % 23.27/6.20 | Combining equations (543,534) yields a new equation: % 23.27/6.20 | (364) e3 = e2 % 23.27/6.20 | % 23.27/6.20 | Simplifying 364 yields: % 23.27/6.20 | (333) e3 = e2 % 23.27/6.20 | % 23.27/6.20 | Equations (333) can reduce 62 to: % 23.27/6.20 | (188) $false % 23.27/6.20 | % 23.27/6.20 |-The branch is then unsatisfiable % 23.27/6.20 |-Branch two: % 23.27/6.20 | (538) ~ (all_0_26_26 = e2) % 23.27/6.20 | (539) all_0_27_27 = e2 % 23.27/6.20 | % 23.27/6.20 | Equations (539) can reduce 130 to: % 23.27/6.20 | (532) ~ (all_0_25_25 = e2) % 23.27/6.20 | % 23.27/6.20 | Equations (539) can reduce 119 to: % 23.33/6.20 | (1045) ~ (all_0_31_31 = e2) % 23.33/6.20 | % 23.33/6.20 | Simplifying 1045 yields: % 23.33/6.20 | (817) ~ (all_0_31_31 = e2) % 23.33/6.20 | % 23.33/6.20 | Equations (539) can reduce 7 to: % 23.33/6.20 | (318) ~ (all_0_35_35 = e2) % 23.33/6.20 | % 23.33/6.20 | Simplifying 318 yields: % 23.33/6.20 | (319) ~ (all_0_35_35 = e2) % 23.33/6.20 | % 23.33/6.20 | Equations (539) can reduce 227 to: % 23.33/6.20 | (340) ~ (e3 = e2) % 23.33/6.20 | % 23.33/6.20 | Simplifying 340 yields: % 23.33/6.20 | (62) ~ (e3 = e2) % 23.33/6.20 | % 23.33/6.20 | Equations (539) can reduce 443 to: % 23.33/6.20 | (128) ~ (e2 = e1) % 23.33/6.20 | % 23.33/6.20 +-Applying beta-rule and splitting (134), into two cases. % 23.33/6.20 |-Branch one: % 23.33/6.20 | (354) all_0_27_27 = e1 % 23.33/6.20 | % 23.33/6.20 | Combining equations (539,354) yields a new equation: % 23.33/6.20 | (484) e2 = e1 % 23.33/6.20 | % 23.33/6.20 | Simplifying 484 yields: % 23.33/6.20 | (343) e2 = e1 % 23.33/6.20 | % 23.33/6.20 | Equations (343) can reduce 128 to: % 23.33/6.20 | (188) $false % 23.33/6.20 | % 23.33/6.20 |-The branch is then unsatisfiable % 23.33/6.20 |-Branch two: % 23.33/6.20 | (443) ~ (all_0_27_27 = e1) % 23.33/6.20 | (444) all_0_31_31 = e1 | all_0_35_35 = e1 | all_0_39_39 = e1 % 23.33/6.20 | % 23.33/6.20 +-Applying beta-rule and splitting (444), into two cases. % 23.33/6.20 |-Branch one: % 23.33/6.20 | (483) all_0_31_31 = e1 % 23.33/6.20 | % 23.33/6.20 | Equations (483) can reduce 30 to: % 23.33/6.20 | (518) ~ (all_0_28_28 = e1) % 23.33/6.20 | % 23.33/6.20 | Equations (483) can reduce 53 to: % 23.33/6.20 | (183) ~ (all_0_29_29 = e1) % 23.33/6.20 | % 23.33/6.20 | Equations (483) can reduce 168 to: % 23.33/6.20 | (258) ~ (all_0_30_30 = e1) % 23.33/6.20 | % 23.33/6.20 | Equations (483) can reduce 419 to: % 23.33/6.20 | (691) ~ (e3 = e1) % 23.33/6.20 | % 23.33/6.20 | Simplifying 691 yields: % 23.33/6.20 | (74) ~ (e3 = e1) % 23.33/6.20 | % 23.33/6.20 | Equations (483) can reduce 817 to: % 23.33/6.20 | (264) ~ (e2 = e1) % 23.33/6.20 | % 23.33/6.20 | Simplifying 264 yields: % 23.33/6.20 | (128) ~ (e2 = e1) % 23.33/6.20 | % 23.33/6.20 +-Applying beta-rule and splitting (165), into two cases. % 23.33/6.20 |-Branch one: % 23.33/6.20 | (363) all_0_25_25 = e3 % 23.33/6.20 | % 23.33/6.20 | Equations (363) can reduce 223 to: % 23.33/6.20 | (188) $false % 23.33/6.20 | % 23.33/6.20 |-The branch is then unsatisfiable % 23.33/6.20 |-Branch two: % 23.33/6.20 | (223) ~ (all_0_25_25 = e3) % 23.33/6.20 | (2809) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0 % 23.33/6.20 | % 23.33/6.20 +-Applying beta-rule and splitting (29), into two cases. % 23.33/6.20 |-Branch one: % 23.33/6.20 | (286) ~ (all_0_29_29 = e0) % 23.33/6.20 | % 23.33/6.20 +-Applying beta-rule and splitting (56), into two cases. % 23.33/6.20 |-Branch one: % 23.33/6.20 | (321) all_0_26_26 = e0 % 23.33/6.20 | % 23.33/6.20 | Combining equations (543,321) yields a new equation: % 23.33/6.20 | (425) e3 = e0 % 23.33/6.20 | % 23.33/6.20 | Simplifying 425 yields: % 23.33/6.20 | (370) e3 = e0 % 23.33/6.20 | % 23.33/6.20 | Equations (370) can reduce 79 to: % 23.33/6.20 | (188) $false % 23.33/6.20 | % 23.33/6.20 |-The branch is then unsatisfiable % 23.33/6.20 |-Branch two: % 23.33/6.20 | (541) ~ (all_0_26_26 = e0) % 23.33/6.20 | (542) all_0_30_30 = e0 | all_0_34_34 = e0 | all_0_38_38 = e0 % 23.33/6.20 | % 23.33/6.20 | Equations (543) can reduce 541 to: % 23.33/6.20 | (79) ~ (e3 = e0) % 23.33/6.20 | % 23.33/6.20 +-Applying beta-rule and splitting (14), into two cases. % 23.33/6.20 |-Branch one: % 23.33/6.20 | (405) all_0_32_32 = e2 % 23.33/6.20 | % 23.33/6.20 | Combining equations (408,405) yields a new equation: % 23.33/6.20 | (364) e3 = e2 % 23.33/6.20 | % 23.33/6.20 | Simplifying 364 yields: % 23.33/6.20 | (333) e3 = e2 % 23.33/6.20 | % 23.33/6.20 | Equations (333) can reduce 62 to: % 23.33/6.20 | (188) $false % 23.33/6.20 | % 23.33/6.20 |-The branch is then unsatisfiable % 23.33/6.20 |-Branch two: % 23.33/6.20 | (428) ~ (all_0_32_32 = e2) % 23.33/6.20 | (429) all_0_33_33 = e2 | all_0_34_34 = e2 | all_0_35_35 = e2 % 23.33/6.20 | % 23.33/6.20 | Equations (408) can reduce 428 to: % 23.33/6.20 | (62) ~ (e3 = e2) % 23.33/6.20 | % 23.33/6.20 +-Applying beta-rule and splitting (141), into two cases. % 23.33/6.20 |-Branch one: % 23.33/6.20 | (391) all_0_32_32 = e0 % 23.33/6.20 | % 23.33/6.20 | Combining equations (408,391) yields a new equation: % 23.33/6.20 | (425) e3 = e0 % 23.33/6.20 | % 23.33/6.20 | Simplifying 425 yields: % 23.33/6.20 | (370) e3 = e0 % 23.33/6.20 | % 23.33/6.20 | Equations (370) can reduce 79 to: % 23.33/6.20 | (188) $false % 23.33/6.20 | % 23.33/6.20 |-The branch is then unsatisfiable % 23.33/6.20 |-Branch two: % 23.33/6.20 | (403) ~ (all_0_32_32 = e0) % 23.33/6.20 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 23.33/6.20 | % 23.33/6.20 +-Applying beta-rule and splitting (542), into two cases. % 23.33/6.20 |-Branch one: % 23.33/6.20 | (557) all_0_30_30 = e0 % 23.33/6.20 | % 23.33/6.20 | Equations (557) can reduce 139 to: % 23.33/6.20 | (1121) ~ (all_0_34_34 = e0) % 23.33/6.20 | % 23.33/6.20 | Simplifying 1121 yields: % 23.33/6.20 | (245) ~ (all_0_34_34 = e0) % 23.33/6.20 | % 23.33/6.20 | Equations (557) can reduce 258 to: % 23.33/6.20 | (209) ~ (e1 = e0) % 23.33/6.20 | % 23.33/6.20 | Simplifying 209 yields: % 23.33/6.20 | (153) ~ (e1 = e0) % 23.33/6.20 | % 23.33/6.20 +-Applying beta-rule and splitting (66), into two cases. % 23.33/6.20 |-Branch one: % 23.33/6.20 | (1082) all_0_24_24 = e0 % 23.33/6.20 | % 23.33/6.20 | Combining equations (1082,694) yields a new equation: % 23.33/6.20 | (379) e1 = e0 % 23.33/6.20 | % 23.33/6.20 | Equations (379) can reduce 153 to: % 23.33/6.20 | (188) $false % 23.33/6.20 | % 23.33/6.20 |-The branch is then unsatisfiable % 23.33/6.20 |-Branch two: % 23.33/6.20 | (220) ~ (all_0_24_24 = e0) % 23.33/6.20 | (1087) all_0_25_25 = e0 | all_0_26_26 = e0 | all_0_27_27 = e0 % 23.33/6.20 | % 23.33/6.20 | Equations (694) can reduce 220 to: % 23.33/6.20 | (153) ~ (e1 = e0) % 23.33/6.20 | % 23.33/6.20 +-Applying beta-rule and splitting (404), into two cases. % 23.33/6.20 |-Branch one: % 23.33/6.20 | (882) all_0_33_33 = e0 % 23.33/6.20 | % 23.33/6.20 | Combining equations (383,882) yields a new equation: % 23.33/6.20 | (510) e1 = e0 % 23.33/6.20 | % 23.33/6.20 | Simplifying 510 yields: % 23.33/6.20 | (379) e1 = e0 % 23.33/6.20 | % 23.33/6.20 | Equations (379) can reduce 153 to: % 23.33/6.20 | (188) $false % 23.33/6.20 | % 23.33/6.20 |-The branch is then unsatisfiable % 23.33/6.20 |-Branch two: % 23.33/6.20 | (885) ~ (all_0_33_33 = e0) % 23.33/6.20 | (1032) all_0_34_34 = e0 | all_0_35_35 = e0 % 23.33/6.20 | % 23.33/6.20 +-Applying beta-rule and splitting (718), into two cases. % 23.33/6.20 |-Branch one: % 23.33/6.20 | (849) all_0_28_28 = e2 % 23.33/6.20 | % 23.33/6.20 | Equations (849) can reduce 118 to: % 23.33/6.20 | (755) ~ (all_0_29_29 = e2) % 23.33/6.20 | % 23.33/6.20 | Simplifying 755 yields: % 23.33/6.20 | (301) ~ (all_0_29_29 = e2) % 23.33/6.20 | % 23.33/6.20 | Equations (849) can reduce 229 to: % 23.33/6.20 | (340) ~ (e3 = e2) % 23.33/6.20 | % 23.33/6.20 | Simplifying 340 yields: % 23.33/6.20 | (62) ~ (e3 = e2) % 23.33/6.20 | % 23.33/6.20 | Equations (849) can reduce 518 to: % 23.33/6.20 | (128) ~ (e2 = e1) % 23.33/6.20 | % 23.33/6.20 +-Applying beta-rule and splitting (2809), into two cases. % 23.33/6.20 |-Branch one: % 23.33/6.20 | (337) all_0_25_25 = e2 % 23.33/6.20 | % 23.33/6.20 | Equations (337) can reduce 532 to: % 23.33/6.20 | (188) $false % 23.33/6.20 | % 23.33/6.20 |-The branch is then unsatisfiable % 23.33/6.20 |-Branch two: % 23.33/6.20 | (532) ~ (all_0_25_25 = e2) % 23.33/6.20 | (2944) all_0_25_25 = e1 | all_0_25_25 = e0 % 23.33/6.20 | % 23.33/6.20 +-Applying beta-rule and splitting (2944), into two cases. % 23.33/6.20 |-Branch one: % 23.33/6.20 | (342) all_0_25_25 = e1 % 23.33/6.20 | % 23.33/6.20 | Equations (342) can reduce 345 to: % 23.33/6.20 | (188) $false % 23.33/6.20 | % 23.33/6.20 |-The branch is then unsatisfiable % 23.33/6.20 |-Branch two: % 23.33/6.20 | (345) ~ (all_0_25_25 = e1) % 23.33/6.20 | (758) all_0_25_25 = e0 % 23.33/6.20 | % 23.33/6.20 | Equations (758) can reduce 47 to: % 23.33/6.20 | (3262) ~ (all_0_29_29 = e0) % 23.33/6.20 | % 23.33/6.20 | Simplifying 3262 yields: % 23.33/6.20 | (286) ~ (all_0_29_29 = e0) % 23.33/6.20 | % 23.33/6.20 +-Applying beta-rule and splitting (1032), into two cases. % 23.33/6.20 |-Branch one: % 23.33/6.20 | (620) all_0_34_34 = e0 % 23.33/6.20 | % 23.33/6.20 | Equations (620) can reduce 245 to: % 23.33/6.20 | (188) $false % 23.33/6.20 | % 23.33/6.20 |-The branch is then unsatisfiable % 23.33/6.20 |-Branch two: % 23.33/6.20 | (245) ~ (all_0_34_34 = e0) % 23.33/6.20 | (401) all_0_35_35 = e0 % 23.33/6.20 | % 23.33/6.20 | Equations (401) can reduce 389 to: % 23.33/6.20 | (205) ~ (e3 = e0) % 23.33/6.20 | % 23.33/6.20 | Simplifying 205 yields: % 23.33/6.20 | (79) ~ (e3 = e0) % 23.33/6.20 | % 23.33/6.20 | Equations (401) can reduce 319 to: % 23.33/6.20 | (207) ~ (e2 = e0) % 23.33/6.21 | % 23.33/6.21 | Simplifying 207 yields: % 23.33/6.21 | (87) ~ (e2 = e0) % 23.33/6.21 | % 23.33/6.21 +-Applying beta-rule and splitting (104), into two cases. % 23.33/6.21 |-Branch one: % 23.33/6.21 | (654) all_0_28_28 = e3 % 23.33/6.21 | % 23.33/6.21 | Combining equations (849,654) yields a new equation: % 23.33/6.21 | (333) e3 = e2 % 23.33/6.21 | % 23.33/6.21 | Equations (333) can reduce 62 to: % 23.33/6.21 | (188) $false % 23.33/6.21 | % 23.33/6.21 |-The branch is then unsatisfiable % 23.33/6.21 |-Branch two: % 23.33/6.21 | (229) ~ (all_0_28_28 = e3) % 23.33/6.21 | (657) all_0_29_29 = e3 | all_0_30_30 = e3 | all_0_31_31 = e3 % 23.33/6.21 | % 23.33/6.21 +-Applying beta-rule and splitting (657), into two cases. % 23.33/6.21 |-Branch one: % 23.33/6.21 | (287) all_0_29_29 = e3 % 23.33/6.21 | % 23.33/6.21 | Equations (287) can reduce 301 to: % 23.33/6.21 | (62) ~ (e3 = e2) % 23.33/6.21 | % 23.33/6.21 | Equations (287) can reduce 183 to: % 23.33/6.21 | (74) ~ (e3 = e1) % 23.33/6.21 | % 23.33/6.21 | Equations (287) can reduce 286 to: % 23.33/6.21 | (79) ~ (e3 = e0) % 23.33/6.21 | % 23.33/6.21 +-Applying beta-rule and splitting (6), into two cases. % 23.33/6.21 |-Branch one: % 23.33/6.21 | (534) all_0_26_26 = e2 % 23.33/6.21 | % 23.33/6.21 | Combining equations (534,543) yields a new equation: % 23.33/6.21 | (333) e3 = e2 % 23.33/6.21 | % 23.33/6.21 | Equations (333) can reduce 62 to: % 23.33/6.21 | (188) $false % 23.33/6.21 | % 23.33/6.21 |-The branch is then unsatisfiable % 23.33/6.21 |-Branch two: % 23.33/6.21 | (538) ~ (all_0_26_26 = e2) % 23.33/6.21 | (1441) all_0_30_30 = e2 | all_0_34_34 = e2 | all_0_38_38 = e2 % 23.33/6.21 | % 23.33/6.21 +-Applying beta-rule and splitting (1441), into two cases. % 23.33/6.21 |-Branch one: % 23.33/6.21 | (565) all_0_30_30 = e2 % 23.33/6.21 | % 23.33/6.21 | Combining equations (557,565) yields a new equation: % 23.33/6.21 | (536) e2 = e0 % 23.33/6.21 | % 23.33/6.21 | Equations (536) can reduce 87 to: % 23.33/6.21 | (188) $false % 23.33/6.21 | % 23.33/6.21 |-The branch is then unsatisfiable % 23.33/6.21 |-Branch two: % 23.33/6.21 | (552) ~ (all_0_30_30 = e2) % 23.33/6.21 | (1454) all_0_34_34 = e2 | all_0_38_38 = e2 % 23.33/6.21 | % 23.33/6.21 +-Applying beta-rule and splitting (1454), into two cases. % 23.33/6.21 |-Branch one: % 23.33/6.21 | (252) all_0_34_34 = e2 % 23.33/6.21 | % 23.33/6.21 | Equations (252) can reduce 244 to: % 23.33/6.21 | (340) ~ (e3 = e2) % 23.33/6.21 | % 23.33/6.21 | Simplifying 340 yields: % 23.33/6.21 | (62) ~ (e3 = e2) % 23.33/6.21 | % 23.33/6.21 | Equations (252) can reduce 619 to: % 23.33/6.21 | (128) ~ (e2 = e1) % 23.33/6.21 | % 23.33/6.21 +-Applying beta-rule and splitting (67), into two cases. % 23.33/6.21 |-Branch one: % 23.33/6.21 | (221) all_0_24_24 = e3 % 23.33/6.21 | % 23.33/6.21 | Combining equations (221,694) yields a new equation: % 23.33/6.21 | (492) e3 = e1 % 23.33/6.21 | % 23.33/6.21 | Simplifying 492 yields: % 23.33/6.21 | (387) e3 = e1 % 23.33/6.21 | % 23.33/6.21 | Equations (387) can reduce 74 to: % 23.33/6.21 | (188) $false % 23.33/6.21 | % 23.33/6.21 |-The branch is then unsatisfiable % 23.33/6.21 |-Branch two: % 23.33/6.21 | (1876) ~ (all_0_24_24 = e3) % 23.33/6.21 | (5657) all_0_29_29 = e2 | all_0_34_34 = e1 | all_0_39_39 = e0 % 23.33/6.21 | % 23.33/6.21 +-Applying beta-rule and splitting (5657), into two cases. % 23.33/6.21 |-Branch one: % 23.33/6.21 | (291) all_0_29_29 = e2 % 23.33/6.21 | % 23.33/6.21 | Combining equations (287,291) yields a new equation: % 23.33/6.21 | (364) e3 = e2 % 23.33/6.21 | % 23.33/6.21 | Simplifying 364 yields: % 23.33/6.21 | (333) e3 = e2 % 23.33/6.21 | % 23.33/6.21 | Equations (333) can reduce 62 to: % 23.33/6.21 | (188) $false % 23.33/6.21 | % 23.33/6.21 |-The branch is then unsatisfiable % 23.33/6.21 |-Branch two: % 23.33/6.21 | (301) ~ (all_0_29_29 = e2) % 23.33/6.21 | (5663) all_0_34_34 = e1 | all_0_39_39 = e0 % 23.33/6.21 | % 23.33/6.21 +-Applying beta-rule and splitting (5663), into two cases. % 23.33/6.21 |-Branch one: % 23.33/6.21 | (256) all_0_34_34 = e1 % 23.33/6.21 | % 23.33/6.21 | Combining equations (256,252) yields a new equation: % 23.33/6.21 | (343) e2 = e1 % 23.33/6.21 | % 23.33/6.21 | Equations (343) can reduce 128 to: % 23.33/6.21 | (188) $false % 23.33/6.21 | % 23.33/6.21 |-The branch is then unsatisfiable % 23.33/6.21 |-Branch two: % 23.33/6.21 | (619) ~ (all_0_34_34 = e1) % 23.33/6.21 | (198) all_0_39_39 = e0 % 23.33/6.21 | % 23.33/6.21 | Combining equations (198,187) yields a new equation: % 23.33/6.21 | (370) e3 = e0 % 23.33/6.21 | % 23.33/6.21 | Equations (370) can reduce 79 to: % 23.33/6.21 | (188) $false % 23.33/6.21 | % 23.33/6.21 |-The branch is then unsatisfiable % 23.33/6.21 |-Branch two: % 23.33/6.21 | (247) ~ (all_0_34_34 = e2) % 23.33/6.21 | (576) all_0_38_38 = e2 % 23.33/6.21 | % 23.33/6.21 | Combining equations (576,506) yields a new equation: % 23.33/6.21 | (484) e2 = e1 % 23.33/6.21 | % 23.33/6.21 | Simplifying 484 yields: % 23.33/6.21 | (343) e2 = e1 % 23.33/6.21 | % 23.33/6.21 | Equations (343) can reduce 128 to: % 23.33/6.21 | (188) $false % 23.33/6.21 | % 23.33/6.21 |-The branch is then unsatisfiable % 23.33/6.21 |-Branch two: % 23.33/6.21 | (246) ~ (all_0_29_29 = e3) % 23.33/6.21 | (661) all_0_30_30 = e3 | all_0_31_31 = e3 % 23.33/6.21 | % 23.33/6.21 +-Applying beta-rule and splitting (661), into two cases. % 23.33/6.21 |-Branch one: % 23.33/6.21 | (561) all_0_30_30 = e3 % 23.33/6.21 | % 23.33/6.21 | Combining equations (557,561) yields a new equation: % 23.33/6.21 | (370) e3 = e0 % 23.33/6.21 | % 23.33/6.21 | Equations (370) can reduce 79 to: % 23.33/6.21 | (188) $false % 23.33/6.21 | % 23.33/6.21 |-The branch is then unsatisfiable % 23.33/6.21 |-Branch two: % 23.33/6.21 | (556) ~ (all_0_30_30 = e3) % 23.33/6.21 | (416) all_0_31_31 = e3 % 23.33/6.21 | % 23.33/6.21 | Combining equations (483,416) yields a new equation: % 23.33/6.21 | (387) e3 = e1 % 23.33/6.21 | % 23.33/6.21 | Equations (387) can reduce 74 to: % 23.33/6.21 | (188) $false % 23.33/6.21 | % 23.33/6.21 |-The branch is then unsatisfiable % 23.33/6.21 |-Branch two: % 23.33/6.21 | (852) ~ (all_0_28_28 = e2) % 23.33/6.21 | (853) all_0_32_32 = e2 | all_0_36_36 = e2 % 23.33/6.21 | % 23.33/6.21 +-Applying beta-rule and splitting (853), into two cases. % 23.33/6.21 |-Branch one: % 23.33/6.21 | (405) all_0_32_32 = e2 % 23.33/6.21 | % 23.33/6.21 | Combining equations (408,405) yields a new equation: % 23.33/6.21 | (364) e3 = e2 % 23.33/6.21 | % 23.33/6.21 | Simplifying 364 yields: % 23.33/6.21 | (333) e3 = e2 % 23.33/6.21 | % 23.33/6.21 | Equations (333) can reduce 62 to: % 23.33/6.21 | (188) $false % 23.33/6.21 | % 23.33/6.21 |-The branch is then unsatisfiable % 23.33/6.21 |-Branch two: % 23.33/6.21 | (428) ~ (all_0_32_32 = e2) % 23.33/6.21 | (732) all_0_36_36 = e2 % 23.33/6.21 | % 23.33/6.21 | Combining equations (732,1232) yields a new equation: % 23.33/6.21 | (535) e2 = e0 % 23.33/6.21 | % 23.33/6.21 | Simplifying 535 yields: % 23.33/6.21 | (536) e2 = e0 % 23.33/6.21 | % 23.33/6.21 | Equations (536) can reduce 87 to: % 23.33/6.21 | (188) $false % 23.33/6.21 | % 23.33/6.21 |-The branch is then unsatisfiable % 23.33/6.21 |-Branch two: % 23.33/6.21 | (313) ~ (all_0_30_30 = e0) % 23.33/6.21 | (560) all_0_34_34 = e0 | all_0_38_38 = e0 % 23.33/6.21 | % 23.33/6.21 +-Applying beta-rule and splitting (27), into two cases. % 23.33/6.21 |-Branch one: % 23.33/6.21 | (763) all_0_28_28 = e0 % 23.33/6.21 | % 23.33/6.21 | Equations (763) can reduce 311 to: % 23.33/6.21 | (188) $false % 23.33/6.21 | % 23.33/6.21 |-The branch is then unsatisfiable % 23.33/6.21 |-Branch two: % 23.33/6.21 | (311) ~ (all_0_28_28 = e0) % 23.33/6.21 | (768) all_0_29_29 = e0 | all_0_30_30 = e0 | all_0_31_31 = e0 % 23.33/6.21 | % 23.33/6.21 +-Applying beta-rule and splitting (2809), into two cases. % 23.33/6.21 |-Branch one: % 23.33/6.21 | (337) all_0_25_25 = e2 % 23.33/6.21 | % 23.33/6.21 | Equations (337) can reduce 532 to: % 23.33/6.21 | (188) $false % 23.33/6.21 | % 23.33/6.21 |-The branch is then unsatisfiable % 23.33/6.21 |-Branch two: % 23.33/6.21 | (532) ~ (all_0_25_25 = e2) % 23.33/6.21 | (2944) all_0_25_25 = e1 | all_0_25_25 = e0 % 23.33/6.21 | % 23.33/6.21 +-Applying beta-rule and splitting (768), into two cases. % 23.33/6.21 |-Branch one: % 23.33/6.21 | (306) all_0_29_29 = e0 % 23.33/6.21 | % 23.33/6.21 | Equations (306) can reduce 286 to: % 23.33/6.21 | (188) $false % 23.33/6.21 | % 23.33/6.21 |-The branch is then unsatisfiable % 23.33/6.21 |-Branch two: % 23.33/6.21 | (286) ~ (all_0_29_29 = e0) % 23.33/6.21 | (798) all_0_30_30 = e0 | all_0_31_31 = e0 % 23.33/6.21 | % 23.33/6.21 +-Applying beta-rule and splitting (2944), into two cases. % 23.33/6.21 |-Branch one: % 23.33/6.21 | (342) all_0_25_25 = e1 % 23.33/6.21 | % 23.33/6.21 | Equations (342) can reduce 345 to: % 23.33/6.21 | (188) $false % 23.33/6.21 | % 23.33/6.21 |-The branch is then unsatisfiable % 23.33/6.21 |-Branch two: % 23.33/6.21 | (345) ~ (all_0_25_25 = e1) % 23.33/6.21 | (758) all_0_25_25 = e0 % 23.33/6.21 | % 23.33/6.21 | Equations (758) can reduce 345 to: % 23.33/6.21 | (209) ~ (e1 = e0) % 23.33/6.21 | % 23.33/6.21 | Simplifying 209 yields: % 23.33/6.21 | (153) ~ (e1 = e0) % 23.33/6.21 | % 23.33/6.21 +-Applying beta-rule and splitting (798), into two cases. % 23.33/6.21 |-Branch one: % 23.33/6.21 | (557) all_0_30_30 = e0 % 23.33/6.21 | % 23.33/6.21 | Equations (557) can reduce 313 to: % 23.33/6.21 | (188) $false % 23.33/6.21 | % 23.33/6.21 |-The branch is then unsatisfiable % 23.33/6.21 |-Branch two: % 23.33/6.21 | (313) ~ (all_0_30_30 = e0) % 23.33/6.21 | (938) all_0_31_31 = e0 % 23.33/6.21 | % 23.33/6.21 | Combining equations (483,938) yields a new equation: % 23.33/6.21 | (510) e1 = e0 % 23.33/6.21 | % 23.33/6.21 | Simplifying 510 yields: % 23.33/6.21 | (379) e1 = e0 % 23.33/6.21 | % 23.33/6.21 | Equations (379) can reduce 153 to: % 23.33/6.21 | (188) $false % 23.33/6.21 | % 23.33/6.21 |-The branch is then unsatisfiable % 23.33/6.21 |-Branch two: % 23.33/6.21 | (306) all_0_29_29 = e0 % 23.33/6.21 | (309) all_0_31_31 = e2 % 23.33/6.21 | % 23.33/6.21 | Combining equations (483,309) yields a new equation: % 23.33/6.21 | (343) e2 = e1 % 23.33/6.21 | % 23.33/6.21 | Equations (343) can reduce 128 to: % 23.33/6.21 | (188) $false % 23.33/6.21 | % 23.33/6.21 |-The branch is then unsatisfiable % 23.33/6.21 |-Branch two: % 23.33/6.21 | (487) ~ (all_0_31_31 = e1) % 23.33/6.21 | (488) all_0_35_35 = e1 | all_0_39_39 = e1 % 23.33/6.21 | % 23.33/6.21 +-Applying beta-rule and splitting (488), into two cases. % 23.33/6.21 |-Branch one: % 23.33/6.21 | (398) all_0_35_35 = e1 % 23.33/6.21 | % 23.33/6.21 | Equations (398) can reduce 261 to: % 23.33/6.21 | (188) $false % 23.33/6.21 | % 23.33/6.21 |-The branch is then unsatisfiable % 23.33/6.21 |-Branch two: % 23.33/6.21 | (261) ~ (all_0_35_35 = e1) % 23.33/6.21 | (195) all_0_39_39 = e1 % 23.33/6.21 | % 23.33/6.21 | Combining equations (195,187) yields a new equation: % 23.33/6.21 | (387) e3 = e1 % 23.33/6.21 | % 23.33/6.21 | Equations (387) can reduce 74 to: % 23.33/6.21 | (188) $false % 23.33/6.21 | % 23.33/6.21 |-The branch is then unsatisfiable % 23.33/6.21 |-Branch two: % 23.33/6.21 | (231) ~ (all_0_32_32 = e3) % 23.33/6.21 | (413) all_0_33_33 = e3 | all_0_34_34 = e3 | all_0_35_35 = e3 % 23.33/6.21 | % 23.33/6.21 +-Applying beta-rule and splitting (56), into two cases. % 23.33/6.21 |-Branch one: % 23.33/6.21 | (321) all_0_26_26 = e0 % 23.33/6.21 | % 23.33/6.21 | Combining equations (321,543) yields a new equation: % 23.33/6.21 | (370) e3 = e0 % 23.33/6.21 | % 23.33/6.21 | Equations (370) can reduce 79 to: % 23.33/6.21 | (188) $false % 23.33/6.21 | % 23.33/6.21 |-The branch is then unsatisfiable % 23.33/6.21 |-Branch two: % 23.33/6.21 | (541) ~ (all_0_26_26 = e0) % 23.33/6.21 | (542) all_0_30_30 = e0 | all_0_34_34 = e0 | all_0_38_38 = e0 % 23.33/6.21 | % 23.33/6.21 | Equations (543) can reduce 541 to: % 23.33/6.21 | (79) ~ (e3 = e0) % 23.38/6.21 | % 23.38/6.21 +-Applying beta-rule and splitting (142), into two cases. % 23.38/6.21 |-Branch one: % 23.38/6.21 | (221) all_0_24_24 = e3 % 23.38/6.21 | % 23.38/6.21 | Combining equations (694,221) yields a new equation: % 23.38/6.21 | (387) e3 = e1 % 23.38/6.21 | % 23.38/6.21 | Equations (387) can reduce 74 to: % 23.38/6.21 | (188) $false % 23.38/6.21 | % 23.38/6.21 |-The branch is then unsatisfiable % 23.38/6.21 |-Branch two: % 23.38/6.21 | (1876) ~ (all_0_24_24 = e3) % 23.38/6.21 | (2125) all_0_28_28 = e3 | all_0_32_32 = e3 | all_0_36_36 = e3 % 23.38/6.21 | % 23.38/6.21 | Equations (694) can reduce 1876 to: % 23.38/6.21 | (691) ~ (e3 = e1) % 23.38/6.21 | % 23.38/6.21 | Simplifying 691 yields: % 23.38/6.21 | (74) ~ (e3 = e1) % 23.38/6.21 | % 23.38/6.21 +-Applying beta-rule and splitting (80), into two cases. % 23.38/6.21 |-Branch one: % 23.38/6.21 | (363) all_0_25_25 = e3 % 23.38/6.21 | % 23.38/6.21 | Equations (363) can reduce 223 to: % 23.38/6.21 | (188) $false % 23.38/6.21 | % 23.38/6.21 |-The branch is then unsatisfiable % 23.38/6.21 |-Branch two: % 23.38/6.21 | (223) ~ (all_0_25_25 = e3) % 23.38/6.21 | (368) all_0_29_29 = e3 | all_0_33_33 = e3 | all_0_37_37 = e3 % 23.38/6.21 | % 23.38/6.21 +-Applying beta-rule and splitting (368), into two cases. % 23.38/6.21 |-Branch one: % 23.38/6.21 | (287) all_0_29_29 = e3 % 23.38/6.21 | % 23.38/6.21 | Equations (287) can reduce 118 to: % 23.38/6.21 | (229) ~ (all_0_28_28 = e3) % 23.38/6.21 | % 23.38/6.21 +-Applying beta-rule and splitting (2125), into two cases. % 23.38/6.21 |-Branch one: % 23.38/6.21 | (654) all_0_28_28 = e3 % 23.38/6.21 | % 23.38/6.21 | Equations (654) can reduce 229 to: % 23.38/6.21 | (188) $false % 23.38/6.21 | % 23.38/6.21 |-The branch is then unsatisfiable % 23.38/6.21 |-Branch two: % 23.38/6.21 | (229) ~ (all_0_28_28 = e3) % 23.38/6.21 | (2149) all_0_32_32 = e3 | all_0_36_36 = e3 % 23.38/6.21 | % 23.38/6.21 +-Applying beta-rule and splitting (2149), into two cases. % 23.38/6.21 |-Branch one: % 23.38/6.21 | (408) all_0_32_32 = e3 % 23.38/6.21 | % 23.38/6.21 | Equations (408) can reduce 231 to: % 23.38/6.21 | (188) $false % 23.38/6.21 | % 23.38/6.21 |-The branch is then unsatisfiable % 23.38/6.21 |-Branch two: % 23.38/6.21 | (231) ~ (all_0_32_32 = e3) % 23.38/6.21 | (454) all_0_36_36 = e3 % 23.38/6.21 | % 23.38/6.21 | Combining equations (1232,454) yields a new equation: % 23.38/6.21 | (370) e3 = e0 % 23.38/6.21 | % 23.38/6.21 | Equations (370) can reduce 79 to: % 23.38/6.21 | (188) $false % 23.38/6.21 | % 23.38/6.21 |-The branch is then unsatisfiable % 23.38/6.21 |-Branch two: % 23.38/6.21 | (246) ~ (all_0_29_29 = e3) % 23.38/6.21 | (373) all_0_33_33 = e3 | all_0_37_37 = e3 % 23.38/6.21 | % 23.38/6.21 +-Applying beta-rule and splitting (373), into two cases. % 23.38/6.21 |-Branch one: % 23.38/6.21 | (374) all_0_33_33 = e3 % 23.38/6.21 | % 23.38/6.21 | Combining equations (383,374) yields a new equation: % 23.38/6.21 | (387) e3 = e1 % 23.38/6.21 | % 23.38/6.21 | Equations (387) can reduce 74 to: % 23.38/6.21 | (188) $false % 23.38/6.21 | % 23.38/6.21 |-The branch is then unsatisfiable % 23.38/6.21 |-Branch two: % 23.38/6.21 | (359) ~ (all_0_33_33 = e3) % 23.38/6.21 | (377) all_0_37_37 = e3 % 23.38/6.21 | % 23.38/6.21 | Combining equations (814,377) yields a new equation: % 23.38/6.21 | (333) e3 = e2 % 23.38/6.21 | % 23.38/6.21 | Equations (333) can reduce 62 to: % 23.38/6.21 | (188) $false % 23.38/6.21 | % 23.38/6.21 |-The branch is then unsatisfiable % 23.38/6.21 |-Branch two: % 23.38/6.21 | (263) ~ (all_0_38_38 = e1) % 23.38/6.21 | (195) all_0_39_39 = e1 % 23.38/6.21 | % 23.38/6.21 | Combining equations (195,187) yields a new equation: % 23.38/6.21 | (387) e3 = e1 % 23.38/6.21 | % 23.38/6.21 | Equations (387) can reduce 74 to: % 23.38/6.21 | (188) $false % 23.38/6.21 | % 23.38/6.21 |-The branch is then unsatisfiable % 23.38/6.21 |-Branch two: % 23.38/6.21 | (259) ~ (all_0_33_33 = e1) % 23.38/6.21 | (386) all_0_37_37 = e1 % 23.38/6.21 | % 23.38/6.21 | Combining equations (386,814) yields a new equation: % 23.38/6.21 | (343) e2 = e1 % 23.38/6.21 | % 23.38/6.21 | Equations (343) can reduce 128 to: % 23.38/6.21 | (188) $false % 23.38/6.21 | % 23.38/6.21 |-The branch is then unsatisfiable % 23.38/6.21 |-Branch two: % 23.38/6.21 | (339) ~ (all_0_37_37 = e2) % 23.38/6.21 | (2054) all_0_38_38 = e2 | all_0_39_39 = e2 % 23.38/6.21 | % 23.38/6.21 +-Applying beta-rule and splitting (2054), into two cases. % 23.38/6.21 |-Branch one: % 23.38/6.21 | (576) all_0_38_38 = e2 % 23.38/6.21 | % 23.38/6.21 | Equations (576) can reduce 554 to: % 23.38/6.21 | (188) $false % 23.38/6.21 | % 23.38/6.21 |-The branch is then unsatisfiable % 23.38/6.21 |-Branch two: % 23.38/6.21 | (554) ~ (all_0_38_38 = e2) % 23.38/6.21 | (191) all_0_39_39 = e2 % 23.38/6.21 | % 23.38/6.21 | Combining equations (187,191) yields a new equation: % 23.38/6.21 | (364) e3 = e2 % 23.38/6.21 | % 23.38/6.22 | Simplifying 364 yields: % 23.38/6.22 | (333) e3 = e2 % 23.38/6.22 | % 23.38/6.22 | Equations (333) can reduce 62 to: % 23.38/6.22 | (188) $false % 23.38/6.22 | % 23.38/6.22 |-The branch is then unsatisfiable % 23.38/6.22 |-Branch two: % 23.38/6.22 | (5792) all_0_0_0 = e2 % 23.38/6.22 | (5793) ~ (all_0_1_1 = e1) | ~ (all_0_39_39 = e3) % 23.38/6.22 | % 23.38/6.22 +-Applying beta-rule and splitting (5793), into two cases. % 23.38/6.22 |-Branch one: % 23.38/6.22 | (5794) ~ (all_0_1_1 = e1) % 23.38/6.22 | % 23.38/6.22 | Equations (5445) can reduce 5794 to: % 23.38/6.22 | (188) $false % 23.38/6.22 | % 23.38/6.22 |-The branch is then unsatisfiable % 23.38/6.22 |-Branch two: % 23.38/6.22 | (5445) all_0_1_1 = e1 % 23.38/6.22 | (186) ~ (all_0_39_39 = e3) % 23.38/6.22 | % 23.38/6.22 | Equations (187) can reduce 186 to: % 23.38/6.22 | (188) $false % 23.38/6.22 | % 23.38/6.22 |-The branch is then unsatisfiable % 23.38/6.22 |-Branch two: % 23.38/6.22 | (332) all_0_24_24 = e2 % 23.38/6.22 | (363) all_0_25_25 = e3 % 23.38/6.22 | % 23.38/6.22 | Combining equations (332,4227) yields a new equation: % 23.38/6.22 | (5801) all_0_1_1 = e2 % 23.38/6.22 | % 23.38/6.22 | Equations (332,363) can reduce 149 to: % 23.38/6.22 | (340) ~ (e3 = e2) % 23.38/6.22 | % 23.38/6.22 | Simplifying 340 yields: % 23.38/6.22 | (62) ~ (e3 = e2) % 23.38/6.22 | % 23.38/6.22 | Equations (332) can reduce 60 to: % 23.38/6.22 | (5076) ~ (all_0_26_26 = e2) % 23.38/6.22 | % 23.38/6.22 | Simplifying 5076 yields: % 23.38/6.22 | (538) ~ (all_0_26_26 = e2) % 23.38/6.22 | % 23.38/6.22 | Equations (332) can reduce 160 to: % 23.38/6.22 | (5078) ~ (all_0_27_27 = e2) % 23.38/6.22 | % 23.38/6.22 | Simplifying 5078 yields: % 23.38/6.22 | (310) ~ (all_0_27_27 = e2) % 23.38/6.22 | % 23.38/6.22 | Equations (332) can reduce 9 to: % 23.38/6.22 | (2982) ~ (all_0_28_28 = e2) % 23.38/6.22 | % 23.38/6.22 | Simplifying 2982 yields: % 23.38/6.22 | (852) ~ (all_0_28_28 = e2) % 23.38/6.22 | % 23.38/6.22 | Equations (332) can reduce 102 to: % 23.38/6.22 | (1047) ~ (all_0_32_32 = e2) % 23.38/6.22 | % 23.38/6.22 | Simplifying 1047 yields: % 23.38/6.22 | (428) ~ (all_0_32_32 = e2) % 23.38/6.22 | % 23.38/6.22 | Equations (363) can reduce 71 to: % 23.38/6.22 | (224) ~ (all_0_26_26 = e3) % 23.38/6.22 | % 23.38/6.22 | Simplifying 224 yields: % 23.38/6.22 | (225) ~ (all_0_26_26 = e3) % 23.38/6.22 | % 23.38/6.22 | Equations (363) can reduce 130 to: % 23.38/6.22 | (226) ~ (all_0_27_27 = e3) % 23.38/6.22 | % 23.38/6.22 | Simplifying 226 yields: % 23.38/6.22 | (227) ~ (all_0_27_27 = e3) % 23.38/6.22 | % 23.38/6.22 | Equations (363) can reduce 47 to: % 23.38/6.22 | (2991) ~ (all_0_29_29 = e3) % 23.38/6.22 | % 23.38/6.22 | Simplifying 2991 yields: % 23.38/6.22 | (246) ~ (all_0_29_29 = e3) % 23.38/6.22 | % 23.38/6.22 | Equations (363) can reduce 114 to: % 23.38/6.22 | (2343) ~ (all_0_33_33 = e3) % 23.38/6.22 | % 23.38/6.22 | Simplifying 2343 yields: % 23.38/6.22 | (359) ~ (all_0_33_33 = e3) % 23.38/6.22 | % 23.38/6.22 | Equations (363) can reduce 31 to: % 23.38/6.22 | (1388) ~ (all_0_37_37 = e3) % 23.38/6.22 | % 23.38/6.22 | Simplifying 1388 yields: % 23.38/6.22 | (481) ~ (all_0_37_37 = e3) % 23.38/6.22 | % 23.38/6.22 | From (332) and (4230) follows: % 23.38/6.22 | (5822) op(e0, e2) = all_0_0_0 % 23.38/6.22 | % 23.38/6.22 +-Applying beta-rule and splitting (116), into two cases. % 23.38/6.22 |-Branch one: % 23.38/6.22 | (5823) ~ (all_0_0_0 = e1) % 23.38/6.22 | % 23.38/6.22 | Instantiating formula (58) with e0, e2, all_0_0_0, all_0_37_37 and discharging atoms op(e0, e2) = all_0_0_0, op(e0, e2) = all_0_37_37, yields: % 23.38/6.22 | (5824) all_0_0_0 = all_0_37_37 % 23.38/6.22 | % 23.38/6.22 | Equations (5824) can reduce 5823 to: % 23.38/6.22 | (504) ~ (all_0_37_37 = e1) % 23.38/6.22 | % 23.38/6.22 +-Applying beta-rule and splitting (156), into two cases. % 23.38/6.22 |-Branch one: % 23.38/6.22 | (445) all_0_36_36 = e1 % 23.38/6.22 | % 23.38/6.22 | Combining equations (445,1232) yields a new equation: % 23.38/6.22 | (510) e1 = e0 % 23.38/6.22 | % 23.38/6.22 | Simplifying 510 yields: % 23.38/6.22 | (379) e1 = e0 % 23.38/6.22 | % 23.38/6.22 | Equations (379) can reduce 153 to: % 23.38/6.22 | (188) $false % 23.38/6.22 | % 23.38/6.22 |-The branch is then unsatisfiable % 23.38/6.22 |-Branch two: % 23.38/6.22 | (352) ~ (all_0_36_36 = e1) % 23.38/6.22 | (448) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1 % 23.38/6.22 | % 23.38/6.22 +-Applying beta-rule and splitting (448), into two cases. % 23.38/6.22 |-Branch one: % 23.38/6.22 | (386) all_0_37_37 = e1 % 23.38/6.22 | % 23.38/6.22 | Equations (386) can reduce 504 to: % 23.38/6.22 | (188) $false % 23.38/6.22 | % 23.38/6.22 |-The branch is then unsatisfiable % 23.38/6.22 |-Branch two: % 23.38/6.22 | (504) ~ (all_0_37_37 = e1) % 23.38/6.22 | (505) all_0_38_38 = e1 | all_0_39_39 = e1 % 23.38/6.22 | % 23.38/6.22 +-Applying beta-rule and splitting (505), into two cases. % 23.38/6.22 |-Branch one: % 23.38/6.22 | (506) all_0_38_38 = e1 % 23.38/6.22 | % 23.38/6.22 | Equations (506) can reduce 44 to: % 23.38/6.22 | (257) ~ (all_0_26_26 = e1) % 23.38/6.22 | % 23.38/6.22 | Equations (506) can reduce 15 to: % 23.38/6.22 | (258) ~ (all_0_30_30 = e1) % 23.38/6.22 | % 23.38/6.22 | Equations (506) can reduce 63 to: % 23.38/6.22 | (504) ~ (all_0_37_37 = e1) % 23.38/6.22 | % 23.38/6.22 +-Applying beta-rule and splitting (67), into two cases. % 23.38/6.22 |-Branch one: % 23.38/6.22 | (221) all_0_24_24 = e3 % 23.38/6.22 | % 23.38/6.22 | Combining equations (332,221) yields a new equation: % 23.38/6.22 | (333) e3 = e2 % 23.38/6.22 | % 23.38/6.22 | Equations (333) can reduce 62 to: % 23.38/6.22 | (188) $false % 23.38/6.22 | % 23.38/6.22 |-The branch is then unsatisfiable % 23.38/6.22 |-Branch two: % 23.38/6.22 | (1876) ~ (all_0_24_24 = e3) % 23.38/6.22 | (5657) all_0_29_29 = e2 | all_0_34_34 = e1 | all_0_39_39 = e0 % 23.38/6.22 | % 23.38/6.22 +-Applying beta-rule and splitting (5657), into two cases. % 23.38/6.22 |-Branch one: % 23.38/6.22 | (291) all_0_29_29 = e2 % 23.38/6.22 | % 23.38/6.22 | Equations (291) can reduce 35 to: % 23.38/6.22 | (338) ~ (all_0_37_37 = e2) % 23.38/6.22 | % 23.38/6.22 | Simplifying 338 yields: % 23.38/6.22 | (339) ~ (all_0_37_37 = e2) % 23.38/6.22 | % 23.38/6.22 +-Applying beta-rule and splitting (111), into two cases. % 23.38/6.22 |-Branch one: % 23.38/6.22 | (377) all_0_37_37 = e3 % 23.38/6.22 | % 23.38/6.22 | Equations (377) can reduce 481 to: % 23.38/6.22 | (188) $false % 23.38/6.22 | % 23.38/6.22 |-The branch is then unsatisfiable % 23.38/6.22 |-Branch two: % 23.38/6.22 | (481) ~ (all_0_37_37 = e3) % 23.38/6.22 | (2566) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0 % 23.38/6.22 | % 23.38/6.22 +-Applying beta-rule and splitting (2566), into two cases. % 23.38/6.22 |-Branch one: % 23.38/6.22 | (814) all_0_37_37 = e2 % 23.38/6.22 | % 23.38/6.22 | Equations (814) can reduce 339 to: % 23.38/6.22 | (188) $false % 23.38/6.22 | % 23.38/6.22 |-The branch is then unsatisfiable % 23.38/6.22 |-Branch two: % 23.38/6.22 | (339) ~ (all_0_37_37 = e2) % 23.38/6.22 | (2755) all_0_37_37 = e1 | all_0_37_37 = e0 % 23.38/6.22 | % 23.38/6.22 +-Applying beta-rule and splitting (2755), into two cases. % 23.38/6.22 |-Branch one: % 23.38/6.22 | (386) all_0_37_37 = e1 % 23.38/6.22 | % 23.38/6.22 | Equations (386) can reduce 504 to: % 23.38/6.22 | (188) $false % 23.38/6.22 | % 23.38/6.22 |-The branch is then unsatisfiable % 23.38/6.22 |-Branch two: % 23.38/6.22 | (504) ~ (all_0_37_37 = e1) % 23.38/6.22 | (886) all_0_37_37 = e0 % 23.38/6.22 | % 23.38/6.22 | Equations (886) can reduce 203 to: % 23.38/6.22 | (188) $false % 23.38/6.22 | % 23.38/6.22 |-The branch is then unsatisfiable % 23.38/6.22 |-Branch two: % 23.38/6.22 | (301) ~ (all_0_29_29 = e2) % 23.38/6.22 | (5663) all_0_34_34 = e1 | all_0_39_39 = e0 % 23.38/6.22 | % 23.38/6.22 +-Applying beta-rule and splitting (111), into two cases. % 23.38/6.22 |-Branch one: % 23.38/6.22 | (377) all_0_37_37 = e3 % 23.38/6.22 | % 23.38/6.22 | Equations (377) can reduce 481 to: % 23.38/6.22 | (188) $false % 23.38/6.22 | % 23.38/6.22 |-The branch is then unsatisfiable % 23.38/6.22 |-Branch two: % 23.38/6.22 | (481) ~ (all_0_37_37 = e3) % 23.38/6.22 | (2566) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0 % 23.38/6.22 | % 23.38/6.22 +-Applying beta-rule and splitting (2566), into two cases. % 23.38/6.22 |-Branch one: % 23.38/6.22 | (814) all_0_37_37 = e2 % 23.38/6.22 | % 23.38/6.22 | Equations (814) can reduce 35 to: % 23.38/6.22 | (301) ~ (all_0_29_29 = e2) % 23.38/6.22 | % 23.38/6.22 | Equations (814) can reduce 182 to: % 23.38/6.22 | (813) ~ (all_0_33_33 = e2) % 23.38/6.22 | % 23.38/6.22 +-Applying beta-rule and splitting (78), into two cases. % 23.38/6.22 |-Branch one: % 23.38/6.22 | (287) all_0_29_29 = e3 % 23.38/6.22 | % 23.38/6.22 | Equations (287) can reduce 246 to: % 23.38/6.22 | (188) $false % 23.38/6.22 | % 23.38/6.22 |-The branch is then unsatisfiable % 23.38/6.22 |-Branch two: % 23.38/6.22 | (246) ~ (all_0_29_29 = e3) % 23.38/6.22 | (290) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0 % 23.38/6.22 | % 23.38/6.22 +-Applying beta-rule and splitting (70), into two cases. % 23.38/6.22 |-Branch one: % 23.38/6.22 | (543) all_0_26_26 = e3 % 23.38/6.22 | % 23.38/6.22 | Equations (543) can reduce 225 to: % 23.38/6.22 | (188) $false % 23.38/6.22 | % 23.38/6.22 |-The branch is then unsatisfiable % 23.38/6.22 |-Branch two: % 23.38/6.22 | (225) ~ (all_0_26_26 = e3) % 23.38/6.22 | (546) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0 % 23.38/6.22 | % 23.38/6.22 +-Applying beta-rule and splitting (546), into two cases. % 23.38/6.22 |-Branch one: % 23.38/6.22 | (534) all_0_26_26 = e2 % 23.38/6.22 | % 23.38/6.22 | Equations (534) can reduce 538 to: % 23.38/6.22 | (188) $false % 23.38/6.22 | % 23.38/6.22 |-The branch is then unsatisfiable % 23.38/6.22 |-Branch two: % 23.38/6.22 | (538) ~ (all_0_26_26 = e2) % 23.38/6.22 | (586) all_0_26_26 = e1 | all_0_26_26 = e0 % 23.38/6.22 | % 23.38/6.22 +-Applying beta-rule and splitting (586), into two cases. % 23.38/6.22 |-Branch one: % 23.38/6.22 | (587) all_0_26_26 = e1 % 23.38/6.22 | % 23.38/6.22 | Equations (587) can reduce 257 to: % 23.38/6.22 | (188) $false % 23.38/6.22 | % 23.38/6.22 |-The branch is then unsatisfiable % 23.38/6.22 |-Branch two: % 23.38/6.22 | (257) ~ (all_0_26_26 = e1) % 23.38/6.22 | (321) all_0_26_26 = e0 % 23.38/6.22 | % 23.38/6.22 | Equations (321) can reduce 18 to: % 23.38/6.22 | (322) ~ (all_0_27_27 = e0) % 23.38/6.22 | % 23.38/6.22 | Simplifying 322 yields: % 23.38/6.22 | (199) ~ (all_0_27_27 = e0) % 23.38/6.22 | % 23.38/6.22 | Equations (321) can reduce 131 to: % 23.38/6.22 | (1121) ~ (all_0_34_34 = e0) % 23.38/6.22 | % 23.38/6.22 | Simplifying 1121 yields: % 23.38/6.22 | (245) ~ (all_0_34_34 = e0) % 23.38/6.22 | % 23.38/6.22 +-Applying beta-rule and splitting (96), into two cases. % 23.38/6.22 |-Branch one: % 23.38/6.22 | (328) all_0_27_27 = e3 % 23.38/6.22 | % 23.38/6.22 | Equations (328) can reduce 227 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (227) ~ (all_0_27_27 = e3) % 23.38/6.23 | (922) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0 % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (922), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (539) all_0_27_27 = e2 % 23.38/6.23 | % 23.38/6.23 | Equations (539) can reduce 310 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (310) ~ (all_0_27_27 = e2) % 23.38/6.23 | (926) all_0_27_27 = e1 | all_0_27_27 = e0 % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (926), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (354) all_0_27_27 = e1 % 23.38/6.23 | % 23.38/6.23 | Equations (354) can reduce 119 to: % 23.38/6.23 | (722) ~ (all_0_31_31 = e1) % 23.38/6.23 | % 23.38/6.23 | Simplifying 722 yields: % 23.38/6.23 | (487) ~ (all_0_31_31 = e1) % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (290), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (291) all_0_29_29 = e2 % 23.38/6.23 | % 23.38/6.23 | Equations (291) can reduce 301 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (301) ~ (all_0_29_29 = e2) % 23.38/6.23 | (302) all_0_29_29 = e1 | all_0_29_29 = e0 % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (16), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (348) all_0_28_28 = e1 % 23.38/6.23 | % 23.38/6.23 | Equations (348) can reduce 118 to: % 23.38/6.23 | (701) ~ (all_0_29_29 = e1) % 23.38/6.23 | % 23.38/6.23 | Simplifying 701 yields: % 23.38/6.23 | (183) ~ (all_0_29_29 = e1) % 23.38/6.23 | % 23.38/6.23 | Equations (348) can reduce 30 to: % 23.38/6.23 | (722) ~ (all_0_31_31 = e1) % 23.38/6.23 | % 23.38/6.23 | Simplifying 722 yields: % 23.38/6.23 | (487) ~ (all_0_31_31 = e1) % 23.38/6.23 | % 23.38/6.23 | Equations (348) can reduce 852 to: % 23.38/6.23 | (264) ~ (e2 = e1) % 23.38/6.23 | % 23.38/6.23 | Simplifying 264 yields: % 23.38/6.23 | (128) ~ (e2 = e1) % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (302), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (303) all_0_29_29 = e1 % 23.38/6.23 | % 23.38/6.23 | Equations (303) can reduce 183 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (183) ~ (all_0_29_29 = e1) % 23.38/6.23 | (306) all_0_29_29 = e0 % 23.38/6.23 | % 23.38/6.23 | Equations (306) can reduce 133 to: % 23.38/6.23 | (312) ~ (all_0_30_30 = e0) % 23.38/6.23 | % 23.38/6.23 | Simplifying 312 yields: % 23.38/6.23 | (313) ~ (all_0_30_30 = e0) % 23.38/6.23 | % 23.38/6.23 | Equations (306) can reduce 108 to: % 23.38/6.23 | (2274) ~ (all_0_33_33 = e0) % 23.38/6.23 | % 23.38/6.23 | Simplifying 2274 yields: % 23.38/6.23 | (885) ~ (all_0_33_33 = e0) % 23.38/6.23 | % 23.38/6.23 | Equations (306) can reduce 301 to: % 23.38/6.23 | (207) ~ (e2 = e0) % 23.38/6.23 | % 23.38/6.23 | Simplifying 207 yields: % 23.38/6.23 | (87) ~ (e2 = e0) % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (54), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (408) all_0_32_32 = e3 % 23.38/6.23 | % 23.38/6.23 | Equations (408) can reduce 2 to: % 23.38/6.23 | (2343) ~ (all_0_33_33 = e3) % 23.38/6.23 | % 23.38/6.23 | Simplifying 2343 yields: % 23.38/6.23 | (359) ~ (all_0_33_33 = e3) % 23.38/6.23 | % 23.38/6.23 | Equations (408) can reduce 166 to: % 23.38/6.23 | (1986) ~ (all_0_34_34 = e3) % 23.38/6.23 | % 23.38/6.23 | Simplifying 1986 yields: % 23.38/6.23 | (244) ~ (all_0_34_34 = e3) % 23.38/6.23 | % 23.38/6.23 | Equations (408) can reduce 89 to: % 23.38/6.23 | (1903) ~ (all_0_35_35 = e3) % 23.38/6.23 | % 23.38/6.23 | Simplifying 1903 yields: % 23.38/6.23 | (389) ~ (all_0_35_35 = e3) % 23.38/6.23 | % 23.38/6.23 | Equations (408) can reduce 428 to: % 23.38/6.23 | (62) ~ (e3 = e2) % 23.38/6.23 | % 23.38/6.23 | Equations (408) can reduce 403 to: % 23.38/6.23 | (79) ~ (e3 = e0) % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (33), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (374) all_0_33_33 = e3 % 23.38/6.23 | % 23.38/6.23 | Equations (374) can reduce 359 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (359) ~ (all_0_33_33 = e3) % 23.38/6.23 | (2357) all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0 % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (141), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (391) all_0_32_32 = e0 % 23.38/6.23 | % 23.38/6.23 | Combining equations (408,391) yields a new equation: % 23.38/6.23 | (425) e3 = e0 % 23.38/6.23 | % 23.38/6.23 | Simplifying 425 yields: % 23.38/6.23 | (370) e3 = e0 % 23.38/6.23 | % 23.38/6.23 | Equations (370) can reduce 79 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (403) ~ (all_0_32_32 = e0) % 23.38/6.23 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (404), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (882) all_0_33_33 = e0 % 23.38/6.23 | % 23.38/6.23 | Equations (882) can reduce 885 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (885) ~ (all_0_33_33 = e0) % 23.38/6.23 | (1032) all_0_34_34 = e0 | all_0_35_35 = e0 % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (1032), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (620) all_0_34_34 = e0 % 23.38/6.23 | % 23.38/6.23 | Equations (620) can reduce 245 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (245) ~ (all_0_34_34 = e0) % 23.38/6.23 | (401) all_0_35_35 = e0 % 23.38/6.23 | % 23.38/6.23 | Equations (401) can reduce 147 to: % 23.38/6.23 | (200) ~ (all_0_31_31 = e0) % 23.38/6.23 | % 23.38/6.23 | Equations (401) can reduce 389 to: % 23.38/6.23 | (205) ~ (e3 = e0) % 23.38/6.23 | % 23.38/6.23 | Simplifying 205 yields: % 23.38/6.23 | (79) ~ (e3 = e0) % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (13), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (539) all_0_27_27 = e2 % 23.38/6.23 | % 23.38/6.23 | Combining equations (354,539) yields a new equation: % 23.38/6.23 | (343) e2 = e1 % 23.38/6.23 | % 23.38/6.23 | Equations (343) can reduce 128 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (310) ~ (all_0_27_27 = e2) % 23.38/6.23 | (741) all_0_31_31 = e2 | all_0_35_35 = e2 | all_0_39_39 = e2 % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (741), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (309) all_0_31_31 = e2 % 23.38/6.23 | % 23.38/6.23 | Equations (309) can reduce 168 to: % 23.38/6.23 | (552) ~ (all_0_30_30 = e2) % 23.38/6.23 | % 23.38/6.23 | Equations (309) can reduce 487 to: % 23.38/6.23 | (128) ~ (e2 = e1) % 23.38/6.23 | % 23.38/6.23 | Equations (309) can reduce 200 to: % 23.38/6.23 | (87) ~ (e2 = e0) % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (6), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (534) all_0_26_26 = e2 % 23.38/6.23 | % 23.38/6.23 | Combining equations (321,534) yields a new equation: % 23.38/6.23 | (536) e2 = e0 % 23.38/6.23 | % 23.38/6.23 | Equations (536) can reduce 87 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (538) ~ (all_0_26_26 = e2) % 23.38/6.23 | (1441) all_0_30_30 = e2 | all_0_34_34 = e2 | all_0_38_38 = e2 % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (1441), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (565) all_0_30_30 = e2 % 23.38/6.23 | % 23.38/6.23 | Equations (565) can reduce 552 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (552) ~ (all_0_30_30 = e2) % 23.38/6.23 | (1454) all_0_34_34 = e2 | all_0_38_38 = e2 % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (1454), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (252) all_0_34_34 = e2 % 23.38/6.23 | % 23.38/6.23 | Equations (252) can reduce 20 to: % 23.38/6.23 | (813) ~ (all_0_33_33 = e2) % 23.38/6.23 | % 23.38/6.23 | Equations (252) can reduce 244 to: % 23.38/6.23 | (340) ~ (e3 = e2) % 23.38/6.23 | % 23.38/6.23 | Simplifying 340 yields: % 23.38/6.23 | (62) ~ (e3 = e2) % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (76), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (247) ~ (all_0_34_34 = e2) % 23.38/6.23 | % 23.38/6.23 | Equations (252) can reduce 247 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (252) all_0_34_34 = e2 % 23.38/6.23 | (383) all_0_33_33 = e1 % 23.38/6.23 | % 23.38/6.23 | Equations (383) can reduce 359 to: % 23.38/6.23 | (691) ~ (e3 = e1) % 23.38/6.23 | % 23.38/6.23 | Simplifying 691 yields: % 23.38/6.23 | (74) ~ (e3 = e1) % 23.38/6.23 | % 23.38/6.23 | Equations (383) can reduce 813 to: % 23.38/6.23 | (264) ~ (e2 = e1) % 23.38/6.23 | % 23.38/6.23 | Simplifying 264 yields: % 23.38/6.23 | (128) ~ (e2 = e1) % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (174), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (543) all_0_26_26 = e3 % 23.38/6.23 | % 23.38/6.23 | Combining equations (543,321) yields a new equation: % 23.38/6.23 | (425) e3 = e0 % 23.38/6.23 | % 23.38/6.23 | Simplifying 425 yields: % 23.38/6.23 | (370) e3 = e0 % 23.38/6.23 | % 23.38/6.23 | Equations (370) can reduce 79 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (225) ~ (all_0_26_26 = e3) % 23.38/6.23 | (683) all_0_30_30 = e3 | all_0_34_34 = e3 | all_0_38_38 = e3 % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (104), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (654) all_0_28_28 = e3 % 23.38/6.23 | % 23.38/6.23 | Combining equations (348,654) yields a new equation: % 23.38/6.23 | (387) e3 = e1 % 23.38/6.23 | % 23.38/6.23 | Equations (387) can reduce 74 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (229) ~ (all_0_28_28 = e3) % 23.38/6.23 | (657) all_0_29_29 = e3 | all_0_30_30 = e3 | all_0_31_31 = e3 % 23.38/6.23 | % 23.38/6.23 | Equations (348) can reduce 229 to: % 23.38/6.23 | (691) ~ (e3 = e1) % 23.38/6.23 | % 23.38/6.23 | Simplifying 691 yields: % 23.38/6.23 | (74) ~ (e3 = e1) % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (683), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (561) all_0_30_30 = e3 % 23.38/6.23 | % 23.38/6.23 | Equations (561) can reduce 313 to: % 23.38/6.23 | (79) ~ (e3 = e0) % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (5663), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (256) all_0_34_34 = e1 % 23.38/6.23 | % 23.38/6.23 | Combining equations (256,252) yields a new equation: % 23.38/6.23 | (343) e2 = e1 % 23.38/6.23 | % 23.38/6.23 | Equations (343) can reduce 128 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (619) ~ (all_0_34_34 = e1) % 23.38/6.23 | (198) all_0_39_39 = e0 % 23.38/6.23 | % 23.38/6.23 | Combining equations (198,187) yields a new equation: % 23.38/6.23 | (370) e3 = e0 % 23.38/6.23 | % 23.38/6.23 | Equations (370) can reduce 79 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (556) ~ (all_0_30_30 = e3) % 23.38/6.23 | (941) all_0_34_34 = e3 | all_0_38_38 = e3 % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (941), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (248) all_0_34_34 = e3 % 23.38/6.23 | % 23.38/6.23 | Combining equations (248,252) yields a new equation: % 23.38/6.23 | (364) e3 = e2 % 23.38/6.23 | % 23.38/6.23 | Simplifying 364 yields: % 23.38/6.23 | (333) e3 = e2 % 23.38/6.23 | % 23.38/6.23 | Equations (333) can reduce 62 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (244) ~ (all_0_34_34 = e3) % 23.38/6.23 | (489) all_0_38_38 = e3 % 23.38/6.23 | % 23.38/6.23 | Combining equations (489,506) yields a new equation: % 23.38/6.23 | (492) e3 = e1 % 23.38/6.23 | % 23.38/6.23 | Simplifying 492 yields: % 23.38/6.23 | (387) e3 = e1 % 23.38/6.23 | % 23.38/6.23 | Equations (387) can reduce 74 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (247) ~ (all_0_34_34 = e2) % 23.38/6.23 | (576) all_0_38_38 = e2 % 23.38/6.23 | % 23.38/6.23 | Combining equations (506,576) yields a new equation: % 23.38/6.23 | (343) e2 = e1 % 23.38/6.23 | % 23.38/6.23 | Equations (343) can reduce 128 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (817) ~ (all_0_31_31 = e2) % 23.38/6.23 | (818) all_0_35_35 = e2 | all_0_39_39 = e2 % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (818), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (394) all_0_35_35 = e2 % 23.38/6.23 | % 23.38/6.23 | Combining equations (401,394) yields a new equation: % 23.38/6.23 | (536) e2 = e0 % 23.38/6.23 | % 23.38/6.23 | Equations (536) can reduce 87 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (319) ~ (all_0_35_35 = e2) % 23.38/6.23 | (191) all_0_39_39 = e2 % 23.38/6.23 | % 23.38/6.23 | Combining equations (191,187) yields a new equation: % 23.38/6.23 | (333) e3 = e2 % 23.38/6.23 | % 23.38/6.23 | Equations (333) can reduce 62 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (231) ~ (all_0_32_32 = e3) % 23.38/6.23 | (413) all_0_33_33 = e3 | all_0_34_34 = e3 | all_0_35_35 = e3 % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (33), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (374) all_0_33_33 = e3 % 23.38/6.23 | % 23.38/6.23 | Equations (374) can reduce 359 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (359) ~ (all_0_33_33 = e3) % 23.38/6.23 | (2357) all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0 % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (141), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (391) all_0_32_32 = e0 % 23.38/6.23 | % 23.38/6.23 | Equations (391) can reduce 403 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (403) ~ (all_0_32_32 = e0) % 23.38/6.23 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (404), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (882) all_0_33_33 = e0 % 23.38/6.23 | % 23.38/6.23 | Equations (882) can reduce 885 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (885) ~ (all_0_33_33 = e0) % 23.38/6.23 | (1032) all_0_34_34 = e0 | all_0_35_35 = e0 % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (1032), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (620) all_0_34_34 = e0 % 23.38/6.23 | % 23.38/6.23 | Equations (620) can reduce 245 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (245) ~ (all_0_34_34 = e0) % 23.38/6.23 | (401) all_0_35_35 = e0 % 23.38/6.23 | % 23.38/6.23 | Equations (401) can reduce 89 to: % 23.38/6.23 | (403) ~ (all_0_32_32 = e0) % 23.38/6.23 | % 23.38/6.23 | Equations (401) can reduce 106 to: % 23.38/6.23 | (885) ~ (all_0_33_33 = e0) % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (2357), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (810) all_0_33_33 = e2 % 23.38/6.23 | % 23.38/6.23 | Equations (810) can reduce 813 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (813) ~ (all_0_33_33 = e2) % 23.38/6.23 | (2556) all_0_33_33 = e1 | all_0_33_33 = e0 % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (2556), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (383) all_0_33_33 = e1 % 23.38/6.23 | % 23.38/6.23 | Equations (383) can reduce 2 to: % 23.38/6.23 | (350) ~ (all_0_32_32 = e1) % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (124), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (408) all_0_32_32 = e3 % 23.38/6.23 | % 23.38/6.23 | Equations (408) can reduce 231 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (231) ~ (all_0_32_32 = e3) % 23.38/6.23 | (433) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0 % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (433), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (405) all_0_32_32 = e2 % 23.38/6.23 | % 23.38/6.23 | Equations (405) can reduce 428 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (428) ~ (all_0_32_32 = e2) % 23.38/6.23 | (437) all_0_32_32 = e1 | all_0_32_32 = e0 % 23.38/6.23 | % 23.38/6.23 +-Applying beta-rule and splitting (437), into two cases. % 23.38/6.23 |-Branch one: % 23.38/6.23 | (438) all_0_32_32 = e1 % 23.38/6.23 | % 23.38/6.23 | Equations (438) can reduce 350 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (350) ~ (all_0_32_32 = e1) % 23.38/6.23 | (391) all_0_32_32 = e0 % 23.38/6.23 | % 23.38/6.23 | Equations (391) can reduce 403 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.23 |-Branch two: % 23.38/6.23 | (259) ~ (all_0_33_33 = e1) % 23.38/6.23 | (882) all_0_33_33 = e0 % 23.38/6.23 | % 23.38/6.23 | Equations (882) can reduce 885 to: % 23.38/6.23 | (188) $false % 23.38/6.23 | % 23.38/6.23 |-The branch is then unsatisfiable % 23.38/6.24 |-Branch two: % 23.38/6.24 | (518) ~ (all_0_28_28 = e1) % 23.38/6.24 | (519) all_0_29_29 = e1 | all_0_30_30 = e1 | all_0_31_31 = e1 % 23.38/6.24 | % 23.38/6.24 +-Applying beta-rule and splitting (519), into two cases. % 23.38/6.24 |-Branch one: % 23.38/6.24 | (303) all_0_29_29 = e1 % 23.38/6.24 | % 23.38/6.24 | Equations (303) can reduce 183 to: % 23.38/6.24 | (188) $false % 23.38/6.24 | % 23.38/6.24 |-The branch is then unsatisfiable % 23.38/6.24 |-Branch two: % 23.38/6.24 | (183) ~ (all_0_29_29 = e1) % 23.38/6.24 | (524) all_0_30_30 = e1 | all_0_31_31 = e1 % 23.38/6.24 | % 23.38/6.24 +-Applying beta-rule and splitting (524), into two cases. % 23.38/6.24 |-Branch one: % 23.38/6.24 | (525) all_0_30_30 = e1 % 23.38/6.24 | % 23.38/6.24 | Equations (525) can reduce 258 to: % 23.38/6.24 | (188) $false % 23.38/6.24 | % 23.38/6.24 |-The branch is then unsatisfiable % 23.38/6.24 |-Branch two: % 23.38/6.24 | (258) ~ (all_0_30_30 = e1) % 23.38/6.24 | (483) all_0_31_31 = e1 % 23.38/6.24 | % 23.38/6.24 | Equations (483) can reduce 487 to: % 23.38/6.24 | (188) $false % 23.38/6.24 | % 23.38/6.24 |-The branch is then unsatisfiable % 23.38/6.24 |-Branch two: % 23.38/6.24 | (443) ~ (all_0_27_27 = e1) % 23.38/6.24 | (930) all_0_27_27 = e0 % 23.38/6.24 | % 23.38/6.24 | Equations (930) can reduce 199 to: % 23.38/6.24 | (188) $false % 23.38/6.24 | % 23.38/6.24 |-The branch is then unsatisfiable % 23.38/6.24 |-Branch two: % 23.38/6.24 | (339) ~ (all_0_37_37 = e2) % 23.38/6.24 | (2755) all_0_37_37 = e1 | all_0_37_37 = e0 % 23.38/6.24 | % 23.38/6.24 +-Applying beta-rule and splitting (2755), into two cases. % 23.38/6.24 |-Branch one: % 23.38/6.24 | (386) all_0_37_37 = e1 % 23.38/6.24 | % 23.38/6.24 | Equations (386) can reduce 504 to: % 23.38/6.24 | (188) $false % 23.38/6.24 | % 23.38/6.24 |-The branch is then unsatisfiable % 23.38/6.24 |-Branch two: % 23.38/6.24 | (504) ~ (all_0_37_37 = e1) % 23.38/6.24 | (886) all_0_37_37 = e0 % 23.38/6.24 | % 23.38/6.24 | Equations (886) can reduce 203 to: % 23.38/6.24 | (188) $false % 23.38/6.24 | % 23.38/6.24 |-The branch is then unsatisfiable % 23.38/6.24 |-Branch two: % 23.38/6.24 | (263) ~ (all_0_38_38 = e1) % 23.38/6.24 | (195) all_0_39_39 = e1 % 23.38/6.24 | % 23.38/6.24 | Combining equations (187,195) yields a new equation: % 23.38/6.24 | (492) e3 = e1 % 23.38/6.24 | % 23.38/6.24 | Simplifying 492 yields: % 23.38/6.24 | (387) e3 = e1 % 23.38/6.24 | % 23.38/6.24 | Equations (387) can reduce 74 to: % 23.38/6.24 | (188) $false % 23.38/6.24 | % 23.38/6.24 |-The branch is then unsatisfiable % 23.38/6.24 |-Branch two: % 23.38/6.24 | (6096) all_0_0_0 = e1 % 23.38/6.24 | (6097) ~ (all_0_1_1 = e2) | ~ (all_0_39_39 = e3) % 23.38/6.24 | % 23.38/6.24 +-Applying beta-rule and splitting (6097), into two cases. % 23.38/6.24 |-Branch one: % 23.38/6.24 | (6098) ~ (all_0_1_1 = e2) % 23.38/6.24 | % 23.38/6.24 | Equations (5801) can reduce 6098 to: % 23.38/6.24 | (188) $false % 23.38/6.24 | % 23.38/6.24 |-The branch is then unsatisfiable % 23.38/6.24 |-Branch two: % 23.38/6.24 | (5801) all_0_1_1 = e2 % 23.38/6.24 | (186) ~ (all_0_39_39 = e3) % 23.38/6.24 | % 23.38/6.24 | Equations (187) can reduce 186 to: % 23.38/6.24 | (188) $false % 23.38/6.24 | % 23.38/6.24 |-The branch is then unsatisfiable % 23.38/6.24 |-Branch two: % 23.38/6.24 | (191) all_0_39_39 = e2 % 23.38/6.24 | (886) all_0_37_37 = e0 % 23.38/6.24 | % 23.38/6.24 | Equations (886) can reduce 31 to: % 23.38/6.24 | (726) ~ (all_0_25_25 = e0) % 23.38/6.24 | % 23.38/6.24 | Equations (191) can reduce 145 to: % 23.38/6.24 | (310) ~ (all_0_27_27 = e2) % 23.38/6.24 | % 23.38/6.24 | Equations (886) can reduce 35 to: % 23.38/6.24 | (286) ~ (all_0_29_29 = e0) % 23.38/6.24 | % 23.38/6.24 | Equations (886) can reduce 182 to: % 23.38/6.24 | (885) ~ (all_0_33_33 = e0) % 23.38/6.24 | % 23.38/6.24 | Equations (191) can reduce 125 to: % 23.38/6.24 | (319) ~ (all_0_35_35 = e2) % 23.38/6.24 | % 23.38/6.24 | Equations (886) can reduce 169 to: % 23.38/6.24 | (202) ~ (all_0_36_36 = e0) % 23.38/6.24 | % 23.38/6.24 | Equations (191) can reduce 19 to: % 23.38/6.24 | (828) ~ (all_0_36_36 = e2) % 23.38/6.24 | % 23.38/6.24 | Equations (886) can reduce 63 to: % 23.38/6.24 | (1337) ~ (all_0_38_38 = e0) % 23.38/6.24 | % 23.38/6.24 | Simplifying 1337 yields: % 23.38/6.24 | (204) ~ (all_0_38_38 = e0) % 23.38/6.24 | % 23.38/6.24 | Equations (886,191) can reduce 64 to: % 23.38/6.24 | (207) ~ (e2 = e0) % 23.38/6.24 | % 23.38/6.24 | Simplifying 207 yields: % 23.38/6.24 | (87) ~ (e2 = e0) % 23.38/6.24 | % 23.38/6.24 | Equations (191) can reduce 39 to: % 23.38/6.24 | (554) ~ (all_0_38_38 = e2) % 23.38/6.24 | % 23.38/6.24 | From (191)(191) and (101) follows: % 23.38/6.24 | (6117) op(e2, e2) = all_0_1_1 % 23.38/6.24 | % 23.38/6.24 | From (886) and (92) follows: % 23.38/6.24 | (6118) op(e2, e0) = all_0_21_21 % 23.38/6.24 | % 23.38/6.24 | From (191) and (26) follows: % 23.38/6.24 | (6119) op(e0, e0) = e2 % 23.38/6.24 | % 23.38/6.24 | Instantiating formula (58) with e2, e2, all_0_1_1, all_0_29_29 and discharging atoms op(e2, e2) = all_0_1_1, op(e2, e2) = all_0_29_29, yields: % 23.38/6.24 | (6120) all_0_1_1 = all_0_29_29 % 23.38/6.24 | % 23.38/6.24 | Instantiating formula (58) with e2, e0, all_0_21_21, all_0_31_31 and discharging atoms op(e2, e0) = all_0_21_21, op(e2, e0) = all_0_31_31, yields: % 23.38/6.24 | (6121) all_0_21_21 = all_0_31_31 % 23.38/6.24 | % 23.38/6.24 | From (6120) and (6117) follows: % 23.38/6.24 | (178) op(e2, e2) = all_0_29_29 % 23.38/6.24 | % 23.38/6.24 | From (6120) and (155) follows: % 23.38/6.24 | (6123) op(e0, all_0_29_29) = all_0_0_0 % 23.38/6.24 | % 23.38/6.24 +-Applying beta-rule and splitting (163), into two cases. % 23.38/6.24 |-Branch one: % 23.38/6.24 | (219) ~ (all_0_24_24 = e2) % 23.38/6.24 | % 23.38/6.24 +-Applying beta-rule and splitting (146), into two cases. % 23.38/6.24 |-Branch one: % 23.38/6.24 | (245) ~ (all_0_34_34 = e0) % 23.38/6.24 | % 23.38/6.24 +-Applying beta-rule and splitting (132), into two cases. % 23.38/6.24 |-Branch one: % 23.38/6.24 | (218) ~ (all_0_24_24 = e1) % 23.38/6.24 | % 23.38/6.24 +-Applying beta-rule and splitting (76), into two cases. % 23.38/6.24 |-Branch one: % 23.38/6.24 | (247) ~ (all_0_34_34 = e2) % 23.38/6.24 | % 23.38/6.24 +-Applying beta-rule and splitting (4), into two cases. % 23.38/6.24 |-Branch one: % 23.38/6.24 | (220) ~ (all_0_24_24 = e0) % 23.38/6.24 | % 23.38/6.24 +-Applying beta-rule and splitting (17), into two cases. % 23.38/6.24 |-Branch one: % 23.38/6.24 | (221) all_0_24_24 = e3 % 23.38/6.24 | % 23.38/6.24 | Equations (221) can reduce 149 to: % 23.38/6.24 | (222) ~ (all_0_25_25 = e3) % 23.38/6.24 | % 23.38/6.24 | Simplifying 222 yields: % 23.38/6.24 | (223) ~ (all_0_25_25 = e3) % 23.38/6.24 | % 23.38/6.24 | Equations (221) can reduce 160 to: % 23.38/6.24 | (226) ~ (all_0_27_27 = e3) % 23.38/6.24 | % 23.38/6.24 | Simplifying 226 yields: % 23.38/6.24 | (227) ~ (all_0_27_27 = e3) % 23.38/6.24 | % 23.38/6.24 | Equations (221) can reduce 9 to: % 23.38/6.24 | (228) ~ (all_0_28_28 = e3) % 23.38/6.24 | % 23.38/6.24 | Simplifying 228 yields: % 23.38/6.24 | (229) ~ (all_0_28_28 = e3) % 23.38/6.24 | % 23.38/6.24 | Equations (221) can reduce 102 to: % 23.38/6.24 | (230) ~ (all_0_32_32 = e3) % 23.38/6.24 | % 23.38/6.24 | Simplifying 230 yields: % 23.38/6.24 | (231) ~ (all_0_32_32 = e3) % 23.38/6.24 | % 23.38/6.24 | Equations (221) can reduce 68 to: % 23.38/6.24 | (232) ~ (all_0_36_36 = e3) % 23.38/6.24 | % 23.38/6.24 | Simplifying 232 yields: % 23.38/6.24 | (233) ~ (all_0_36_36 = e3) % 23.38/6.24 | % 23.38/6.24 +-Applying beta-rule and splitting (97), into two cases. % 23.38/6.24 |-Branch one: % 23.38/6.24 | (454) all_0_36_36 = e3 % 23.38/6.24 | % 23.38/6.24 | Equations (454) can reduce 233 to: % 23.38/6.24 | (188) $false % 23.38/6.24 | % 23.38/6.24 |-The branch is then unsatisfiable % 23.38/6.24 |-Branch two: % 23.38/6.24 | (233) ~ (all_0_36_36 = e3) % 23.38/6.24 | (457) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0 % 23.38/6.24 | % 23.38/6.24 +-Applying beta-rule and splitting (457), into two cases. % 23.38/6.24 |-Branch one: % 23.38/6.24 | (732) all_0_36_36 = e2 % 23.38/6.24 | % 23.38/6.24 | Equations (732) can reduce 828 to: % 23.38/6.24 | (188) $false % 23.38/6.24 | % 23.38/6.24 |-The branch is then unsatisfiable % 23.38/6.24 |-Branch two: % 23.38/6.24 | (828) ~ (all_0_36_36 = e2) % 23.38/6.24 | (1147) all_0_36_36 = e1 | all_0_36_36 = e0 % 23.38/6.24 | % 23.38/6.24 +-Applying beta-rule and splitting (1147), into two cases. % 23.38/6.24 |-Branch one: % 23.38/6.24 | (445) all_0_36_36 = e1 % 23.38/6.24 | % 23.38/6.24 | Equations (445) can reduce 52 to: % 23.38/6.24 | (518) ~ (all_0_28_28 = e1) % 23.38/6.24 | % 23.38/6.24 | Equations (445) can reduce 23 to: % 23.38/6.24 | (262) ~ (all_0_38_38 = e1) % 23.38/6.24 | % 23.38/6.24 | Simplifying 262 yields: % 23.38/6.24 | (263) ~ (all_0_38_38 = e1) % 23.38/6.24 | % 23.38/6.24 | From (445) and (81) follows: % 23.38/6.24 | (6152) op(e0, e3) = e1 % 23.38/6.24 | % 23.38/6.24 +-Applying beta-rule and splitting (61), into two cases. % 23.38/6.24 |-Branch one: % 23.38/6.24 | (489) all_0_38_38 = e3 % 23.38/6.24 | % 23.38/6.24 | Equations (489) can reduce 44 to: % 23.38/6.24 | (225) ~ (all_0_26_26 = e3) % 23.38/6.24 | % 23.38/6.24 | Equations (489) can reduce 15 to: % 23.38/6.24 | (556) ~ (all_0_30_30 = e3) % 23.38/6.24 | % 23.38/6.24 | Equations (489) can reduce 105 to: % 23.38/6.24 | (244) ~ (all_0_34_34 = e3) % 23.38/6.24 | % 23.38/6.24 +-Applying beta-rule and splitting (135), into two cases. % 23.38/6.24 |-Branch one: % 23.38/6.24 | (248) all_0_34_34 = e3 % 23.38/6.24 | % 23.38/6.24 | Equations (248) can reduce 244 to: % 23.38/6.24 | (188) $false % 23.38/6.24 | % 23.38/6.24 |-The branch is then unsatisfiable % 23.38/6.24 |-Branch two: % 23.38/6.24 | (244) ~ (all_0_34_34 = e3) % 23.38/6.24 | (251) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0 % 23.38/6.24 | % 23.38/6.24 +-Applying beta-rule and splitting (251), into two cases. % 23.38/6.24 |-Branch one: % 23.38/6.24 | (252) all_0_34_34 = e2 % 23.38/6.24 | % 23.38/6.24 | Equations (252) can reduce 247 to: % 23.38/6.24 | (188) $false % 23.38/6.24 | % 23.38/6.24 |-The branch is then unsatisfiable % 23.38/6.24 |-Branch two: % 23.38/6.24 | (247) ~ (all_0_34_34 = e2) % 23.38/6.24 | (255) all_0_34_34 = e1 | all_0_34_34 = e0 % 23.38/6.24 | % 23.38/6.24 +-Applying beta-rule and splitting (255), into two cases. % 23.38/6.24 |-Branch one: % 23.38/6.24 | (256) all_0_34_34 = e1 % 23.38/6.24 | % 23.38/6.24 | Equations (256) can reduce 131 to: % 23.38/6.24 | (257) ~ (all_0_26_26 = e1) % 23.38/6.24 | % 23.38/6.24 | Equations (256) can reduce 139 to: % 23.38/6.24 | (258) ~ (all_0_30_30 = e1) % 23.38/6.24 | % 23.38/6.24 | Equations (256) can reduce 166 to: % 23.38/6.24 | (350) ~ (all_0_32_32 = e1) % 23.38/6.24 | % 23.38/6.24 | Equations (256) can reduce 20 to: % 23.38/6.24 | (259) ~ (all_0_33_33 = e1) % 23.38/6.24 | % 23.38/6.24 | Equations (256) can reduce 244 to: % 23.38/6.24 | (691) ~ (e3 = e1) % 23.38/6.24 | % 23.38/6.24 | Simplifying 691 yields: % 23.38/6.24 | (74) ~ (e3 = e1) % 23.38/6.24 | % 23.38/6.24 +-Applying beta-rule and splitting (16), into two cases. % 23.38/6.24 |-Branch one: % 23.38/6.24 | (348) all_0_28_28 = e1 % 23.38/6.24 | % 23.38/6.24 | Equations (348) can reduce 518 to: % 23.38/6.24 | (188) $false % 23.38/6.24 | % 23.38/6.24 |-The branch is then unsatisfiable % 23.38/6.24 |-Branch two: % 23.38/6.24 | (518) ~ (all_0_28_28 = e1) % 23.38/6.24 | (519) all_0_29_29 = e1 | all_0_30_30 = e1 | all_0_31_31 = e1 % 23.38/6.24 | % 23.38/6.24 +-Applying beta-rule and splitting (519), into two cases. % 23.38/6.24 |-Branch one: % 23.38/6.24 | (303) all_0_29_29 = e1 % 23.38/6.24 | % 23.38/6.24 | Equations (303) can reduce 183 to: % 23.38/6.24 | (188) $false % 23.38/6.24 | % 23.38/6.24 |-The branch is then unsatisfiable % 23.38/6.24 |-Branch two: % 23.38/6.24 | (183) ~ (all_0_29_29 = e1) % 23.38/6.25 | (524) all_0_30_30 = e1 | all_0_31_31 = e1 % 23.38/6.25 | % 23.38/6.25 +-Applying beta-rule and splitting (524), into two cases. % 23.38/6.25 |-Branch one: % 23.38/6.25 | (525) all_0_30_30 = e1 % 23.38/6.25 | % 23.38/6.25 | Equations (525) can reduce 258 to: % 23.38/6.25 | (188) $false % 23.38/6.25 | % 23.38/6.25 |-The branch is then unsatisfiable % 23.38/6.25 |-Branch two: % 23.38/6.25 | (258) ~ (all_0_30_30 = e1) % 23.38/6.25 | (483) all_0_31_31 = e1 % 23.38/6.25 | % 23.38/6.25 | Equations (483) can reduce 119 to: % 23.38/6.25 | (443) ~ (all_0_27_27 = e1) % 23.38/6.25 | % 23.38/6.25 | Equations (483) can reduce 30 to: % 23.38/6.25 | (518) ~ (all_0_28_28 = e1) % 23.38/6.25 | % 23.38/6.25 | Equations (483) can reduce 53 to: % 23.38/6.25 | (183) ~ (all_0_29_29 = e1) % 23.38/6.25 | % 23.38/6.25 | Equations (483) can reduce 168 to: % 23.38/6.25 | (258) ~ (all_0_30_30 = e1) % 23.38/6.25 | % 23.38/6.25 | Equations (483) can reduce 147 to: % 23.38/6.25 | (260) ~ (all_0_35_35 = e1) % 23.38/6.25 | % 23.38/6.25 | Simplifying 260 yields: % 23.38/6.25 | (261) ~ (all_0_35_35 = e1) % 23.38/6.25 | % 23.38/6.25 +-Applying beta-rule and splitting (96), into two cases. % 23.38/6.25 |-Branch one: % 23.38/6.25 | (328) all_0_27_27 = e3 % 23.38/6.25 | % 23.38/6.25 | Equations (328) can reduce 227 to: % 23.38/6.25 | (188) $false % 23.38/6.25 | % 23.38/6.25 |-The branch is then unsatisfiable % 23.38/6.25 |-Branch two: % 23.38/6.25 | (227) ~ (all_0_27_27 = e3) % 23.38/6.25 | (922) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0 % 23.38/6.25 | % 23.38/6.25 +-Applying beta-rule and splitting (922), into two cases. % 23.38/6.25 |-Branch one: % 23.38/6.25 | (539) all_0_27_27 = e2 % 23.38/6.25 | % 23.38/6.25 | Equations (539) can reduce 310 to: % 23.38/6.25 | (188) $false % 23.38/6.25 | % 23.38/6.25 |-The branch is then unsatisfiable % 23.38/6.25 |-Branch two: % 23.38/6.25 | (310) ~ (all_0_27_27 = e2) % 23.38/6.25 | (926) all_0_27_27 = e1 | all_0_27_27 = e0 % 23.38/6.25 | % 23.38/6.25 +-Applying beta-rule and splitting (926), into two cases. % 23.38/6.25 |-Branch one: % 23.38/6.25 | (354) all_0_27_27 = e1 % 23.38/6.25 | % 23.38/6.25 | Equations (354) can reduce 443 to: % 23.38/6.25 | (188) $false % 23.38/6.25 | % 23.38/6.25 |-The branch is then unsatisfiable % 23.38/6.25 |-Branch two: % 23.38/6.25 | (443) ~ (all_0_27_27 = e1) % 23.38/6.25 | (930) all_0_27_27 = e0 % 23.38/6.25 | % 23.38/6.25 | Equations (930) can reduce 130 to: % 23.38/6.25 | (726) ~ (all_0_25_25 = e0) % 23.38/6.25 | % 23.38/6.25 | Equations (930) can reduce 18 to: % 23.38/6.25 | (541) ~ (all_0_26_26 = e0) % 23.38/6.25 | % 23.38/6.25 | Equations (930) can reduce 7 to: % 23.38/6.25 | (392) ~ (all_0_35_35 = e0) % 23.38/6.25 | % 23.38/6.25 | Simplifying 392 yields: % 23.38/6.25 | (201) ~ (all_0_35_35 = e0) % 23.38/6.25 | % 23.38/6.25 | Equations (930) can reduce 227 to: % 23.38/6.25 | (205) ~ (e3 = e0) % 23.38/6.25 | % 23.38/6.25 | Simplifying 205 yields: % 23.38/6.25 | (79) ~ (e3 = e0) % 23.38/6.25 | % 23.38/6.25 | Equations (930) can reduce 443 to: % 23.38/6.25 | (209) ~ (e1 = e0) % 23.38/6.25 | % 23.38/6.25 | Simplifying 209 yields: % 23.38/6.25 | (153) ~ (e1 = e0) % 23.38/6.25 | % 23.38/6.25 +-Applying beta-rule and splitting (55), into two cases. % 23.38/6.25 |-Branch one: % 23.38/6.25 | (328) all_0_27_27 = e3 % 23.38/6.25 | % 23.38/6.25 | Combining equations (328,930) yields a new equation: % 23.38/6.25 | (425) e3 = e0 % 23.38/6.25 | % 23.38/6.25 | Simplifying 425 yields: % 23.38/6.25 | (370) e3 = e0 % 23.38/6.25 | % 23.38/6.25 | Equations (370) can reduce 79 to: % 23.38/6.25 | (188) $false % 23.38/6.25 | % 23.38/6.25 |-The branch is then unsatisfiable % 23.38/6.25 |-Branch two: % 23.38/6.25 | (227) ~ (all_0_27_27 = e3) % 23.38/6.25 | (331) all_0_31_31 = e3 | all_0_35_35 = e3 | all_0_39_39 = e3 % 23.38/6.25 | % 23.38/6.25 +-Applying beta-rule and splitting (22), into two cases. % 23.38/6.25 |-Branch one: % 23.38/6.25 | (342) all_0_25_25 = e1 % 23.38/6.25 | % 23.38/6.25 | Equations (342) can reduce 71 to: % 23.38/6.25 | (2303) ~ (all_0_26_26 = e1) % 23.38/6.25 | % 23.38/6.25 | Simplifying 2303 yields: % 23.38/6.25 | (257) ~ (all_0_26_26 = e1) % 23.38/6.25 | % 23.38/6.25 | Equations (342) can reduce 114 to: % 23.38/6.25 | (2305) ~ (all_0_33_33 = e1) % 23.38/6.25 | % 23.38/6.25 | Simplifying 2305 yields: % 23.38/6.25 | (259) ~ (all_0_33_33 = e1) % 23.38/6.25 | % 23.38/6.25 | Equations (342) can reduce 223 to: % 23.38/6.25 | (691) ~ (e3 = e1) % 23.38/6.25 | % 23.38/6.25 | Simplifying 691 yields: % 23.38/6.25 | (74) ~ (e3 = e1) % 23.38/6.25 | % 23.38/6.25 | Equations (342) can reduce 726 to: % 23.38/6.25 | (153) ~ (e1 = e0) % 23.38/6.25 | % 23.38/6.25 +-Applying beta-rule and splitting (70), into two cases. % 23.38/6.25 |-Branch one: % 23.38/6.25 | (543) all_0_26_26 = e3 % 23.38/6.25 | % 23.38/6.25 | Equations (543) can reduce 225 to: % 23.38/6.25 | (188) $false % 23.38/6.25 | % 23.38/6.25 |-The branch is then unsatisfiable % 23.38/6.25 |-Branch two: % 23.38/6.25 | (225) ~ (all_0_26_26 = e3) % 23.38/6.25 | (546) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0 % 23.38/6.25 | % 23.38/6.25 +-Applying beta-rule and splitting (546), into two cases. % 23.38/6.25 |-Branch one: % 23.38/6.25 | (534) all_0_26_26 = e2 % 23.38/6.25 | % 23.38/6.25 | Equations (534) can reduce 541 to: % 23.38/6.25 | (87) ~ (e2 = e0) % 23.38/6.25 | % 23.38/6.25 +-Applying beta-rule and splitting (179), into two cases. % 23.38/6.25 |-Branch one: % 23.38/6.25 | (358) all_0_35_35 = e3 % 23.38/6.25 | % 23.38/6.25 | Equations (358) can reduce 106 to: % 23.38/6.25 | (359) ~ (all_0_33_33 = e3) % 23.38/6.25 | % 23.38/6.25 | Equations (358) can reduce 261 to: % 23.38/6.25 | (74) ~ (e3 = e1) % 23.38/6.25 | % 23.38/6.25 | Equations (358) can reduce 201 to: % 23.38/6.25 | (79) ~ (e3 = e0) % 23.38/6.25 | % 23.38/6.25 +-Applying beta-rule and splitting (34), into two cases. % 23.38/6.25 |-Branch one: % 23.38/6.25 | (561) all_0_30_30 = e3 % 23.38/6.25 | % 23.38/6.25 | Equations (561) can reduce 556 to: % 23.38/6.25 | (188) $false % 23.38/6.25 | % 23.38/6.25 |-The branch is then unsatisfiable % 23.38/6.25 |-Branch two: % 23.38/6.25 | (556) ~ (all_0_30_30 = e3) % 23.38/6.25 | (564) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0 % 23.38/6.25 | % 23.38/6.25 +-Applying beta-rule and splitting (80), into two cases. % 23.38/6.25 |-Branch one: % 23.38/6.25 | (363) all_0_25_25 = e3 % 23.38/6.25 | % 23.38/6.25 | Combining equations (363,342) yields a new equation: % 23.38/6.25 | (492) e3 = e1 % 23.38/6.25 | % 23.38/6.25 | Simplifying 492 yields: % 23.38/6.25 | (387) e3 = e1 % 23.38/6.25 | % 23.38/6.25 | Equations (387) can reduce 74 to: % 23.38/6.25 | (188) $false % 23.38/6.25 | % 23.38/6.25 |-The branch is then unsatisfiable % 23.38/6.25 |-Branch two: % 23.38/6.25 | (223) ~ (all_0_25_25 = e3) % 23.38/6.25 | (368) all_0_29_29 = e3 | all_0_33_33 = e3 | all_0_37_37 = e3 % 23.38/6.25 | % 23.38/6.25 | Equations (342) can reduce 223 to: % 23.38/6.25 | (691) ~ (e3 = e1) % 23.38/6.25 | % 23.38/6.25 | Simplifying 691 yields: % 23.38/6.25 | (74) ~ (e3 = e1) % 23.38/6.25 | % 23.38/6.25 +-Applying beta-rule and splitting (33), into two cases. % 23.38/6.25 |-Branch one: % 23.38/6.25 | (374) all_0_33_33 = e3 % 23.38/6.25 | % 23.38/6.25 | Equations (374) can reduce 359 to: % 23.38/6.25 | (188) $false % 23.38/6.25 | % 23.38/6.25 |-The branch is then unsatisfiable % 23.38/6.25 |-Branch two: % 23.38/6.25 | (359) ~ (all_0_33_33 = e3) % 23.38/6.25 | (2357) all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0 % 23.38/6.25 | % 23.38/6.25 +-Applying beta-rule and splitting (2357), into two cases. % 23.38/6.25 |-Branch one: % 23.38/6.25 | (810) all_0_33_33 = e2 % 23.38/6.25 | % 23.38/6.25 | Equations (810) can reduce 885 to: % 23.38/6.25 | (87) ~ (e2 = e0) % 23.38/6.25 | % 23.38/6.25 +-Applying beta-rule and splitting (56), into two cases. % 23.38/6.25 |-Branch one: % 23.38/6.25 | (321) all_0_26_26 = e0 % 23.38/6.25 | % 23.38/6.25 | Combining equations (534,321) yields a new equation: % 23.38/6.25 | (535) e2 = e0 % 23.38/6.25 | % 23.38/6.25 | Simplifying 535 yields: % 23.38/6.25 | (536) e2 = e0 % 23.38/6.25 | % 23.38/6.25 | Equations (536) can reduce 87 to: % 23.38/6.25 | (188) $false % 23.38/6.25 | % 23.38/6.25 |-The branch is then unsatisfiable % 23.38/6.25 |-Branch two: % 23.38/6.25 | (541) ~ (all_0_26_26 = e0) % 23.38/6.25 | (542) all_0_30_30 = e0 | all_0_34_34 = e0 | all_0_38_38 = e0 % 23.38/6.25 | % 23.38/6.25 +-Applying beta-rule and splitting (104), into two cases. % 23.38/6.25 |-Branch one: % 23.38/6.25 | (654) all_0_28_28 = e3 % 23.38/6.25 | % 23.38/6.25 | Equations (654) can reduce 229 to: % 23.38/6.25 | (188) $false % 23.38/6.25 | % 23.38/6.25 |-The branch is then unsatisfiable % 23.38/6.25 |-Branch two: % 23.38/6.25 | (229) ~ (all_0_28_28 = e3) % 23.38/6.25 | (657) all_0_29_29 = e3 | all_0_30_30 = e3 | all_0_31_31 = e3 % 23.38/6.25 | % 23.38/6.25 +-Applying beta-rule and splitting (542), into two cases. % 23.38/6.25 |-Branch one: % 23.38/6.25 | (557) all_0_30_30 = e0 % 23.38/6.25 | % 23.38/6.25 | Equations (557) can reduce 556 to: % 23.38/6.25 | (205) ~ (e3 = e0) % 23.38/6.25 | % 23.38/6.25 | Simplifying 205 yields: % 23.38/6.25 | (79) ~ (e3 = e0) % 23.38/6.25 | % 23.38/6.25 +-Applying beta-rule and splitting (657), into two cases. % 23.38/6.25 |-Branch one: % 23.38/6.25 | (287) all_0_29_29 = e3 % 23.38/6.25 | % 23.38/6.25 | Combining equations (287,6120) yields a new equation: % 23.38/6.25 | (6266) all_0_1_1 = e3 % 23.38/6.25 | % 23.38/6.25 | From (287) and (6123) follows: % 23.38/6.25 | (6267) op(e0, e3) = all_0_0_0 % 23.38/6.25 | % 23.38/6.25 +-Applying beta-rule and splitting (65), into two cases. % 23.38/6.25 |-Branch one: % 23.38/6.25 | (5823) ~ (all_0_0_0 = e1) % 23.38/6.25 | % 23.38/6.25 | Instantiating formula (58) with e0, e3, e1, all_0_0_0 and discharging atoms op(e0, e3) = all_0_0_0, op(e0, e3) = e1, yields: % 23.38/6.25 | (6096) all_0_0_0 = e1 % 23.38/6.25 | % 23.38/6.25 | Equations (6096) can reduce 5823 to: % 23.38/6.25 | (188) $false % 23.38/6.25 | % 23.38/6.25 |-The branch is then unsatisfiable % 23.38/6.25 |-Branch two: % 23.38/6.25 | (6096) all_0_0_0 = e1 % 23.38/6.25 | (6272) ~ (all_0_1_1 = e3) | ~ (all_0_39_39 = e2) % 23.38/6.25 | % 23.38/6.25 +-Applying beta-rule and splitting (6272), into two cases. % 23.38/6.25 |-Branch one: % 23.38/6.25 | (6273) ~ (all_0_1_1 = e3) % 23.38/6.25 | % 23.38/6.25 | Equations (6266) can reduce 6273 to: % 23.38/6.25 | (188) $false % 23.38/6.25 | % 23.38/6.25 |-The branch is then unsatisfiable % 23.38/6.25 |-Branch two: % 23.38/6.25 | (6266) all_0_1_1 = e3 % 23.38/6.25 | (185) ~ (all_0_39_39 = e2) % 23.38/6.25 | % 23.38/6.25 | Equations (191) can reduce 185 to: % 23.38/6.25 | (188) $false % 23.38/6.25 | % 23.38/6.25 |-The branch is then unsatisfiable % 23.38/6.25 |-Branch two: % 23.38/6.25 | (246) ~ (all_0_29_29 = e3) % 23.38/6.25 | (661) all_0_30_30 = e3 | all_0_31_31 = e3 % 23.38/6.25 | % 23.38/6.25 +-Applying beta-rule and splitting (661), into two cases. % 23.38/6.25 |-Branch one: % 23.38/6.25 | (561) all_0_30_30 = e3 % 23.38/6.25 | % 23.38/6.25 | Combining equations (557,561) yields a new equation: % 23.38/6.25 | (370) e3 = e0 % 23.38/6.25 | % 23.38/6.25 | Equations (370) can reduce 79 to: % 23.38/6.25 | (188) $false % 23.38/6.25 | % 23.38/6.25 |-The branch is then unsatisfiable % 23.38/6.25 |-Branch two: % 23.38/6.25 | (556) ~ (all_0_30_30 = e3) % 23.38/6.25 | (416) all_0_31_31 = e3 % 23.38/6.25 | % 23.38/6.25 | Combining equations (483,416) yields a new equation: % 23.38/6.25 | (387) e3 = e1 % 23.38/6.25 | % 23.38/6.25 | Equations (387) can reduce 74 to: % 23.38/6.25 | (188) $false % 23.38/6.25 | % 23.38/6.25 |-The branch is then unsatisfiable % 23.38/6.25 |-Branch two: % 23.38/6.25 | (313) ~ (all_0_30_30 = e0) % 23.38/6.25 | (560) all_0_34_34 = e0 | all_0_38_38 = e0 % 23.38/6.25 | % 23.38/6.25 +-Applying beta-rule and splitting (560), into two cases. % 23.38/6.25 |-Branch one: % 23.38/6.25 | (620) all_0_34_34 = e0 % 23.38/6.25 | % 23.38/6.25 | Combining equations (256,620) yields a new equation: % 23.38/6.25 | (510) e1 = e0 % 23.38/6.25 | % 23.38/6.25 | Simplifying 510 yields: % 23.38/6.25 | (379) e1 = e0 % 23.38/6.25 | % 23.38/6.25 | Equations (379) can reduce 153 to: % 23.38/6.25 | (188) $false % 23.38/6.25 | % 23.38/6.25 |-The branch is then unsatisfiable % 23.38/6.25 |-Branch two: % 23.38/6.25 | (245) ~ (all_0_34_34 = e0) % 23.38/6.25 | (583) all_0_38_38 = e0 % 23.38/6.25 | % 23.38/6.25 | Combining equations (489,583) yields a new equation: % 23.38/6.25 | (425) e3 = e0 % 23.38/6.25 | % 23.38/6.25 | Simplifying 425 yields: % 23.38/6.25 | (370) e3 = e0 % 23.38/6.25 | % 23.38/6.25 | Equations (370) can reduce 79 to: % 23.38/6.25 | (188) $false % 23.38/6.25 | % 23.38/6.25 |-The branch is then unsatisfiable % 23.38/6.25 |-Branch two: % 23.38/6.25 | (813) ~ (all_0_33_33 = e2) % 23.38/6.25 | (2556) all_0_33_33 = e1 | all_0_33_33 = e0 % 23.38/6.25 | % 23.38/6.25 +-Applying beta-rule and splitting (2556), into two cases. % 23.38/6.25 |-Branch one: % 23.38/6.25 | (383) all_0_33_33 = e1 % 23.38/6.25 | % 23.38/6.25 | Equations (383) can reduce 259 to: % 23.38/6.25 | (188) $false % 23.38/6.25 | % 23.38/6.25 |-The branch is then unsatisfiable % 23.38/6.25 |-Branch two: % 23.38/6.25 | (259) ~ (all_0_33_33 = e1) % 23.38/6.25 | (882) all_0_33_33 = e0 % 23.38/6.25 | % 23.38/6.25 | Equations (882) can reduce 885 to: % 23.38/6.25 | (188) $false % 23.38/6.25 | % 23.38/6.25 |-The branch is then unsatisfiable % 23.38/6.25 |-Branch two: % 23.38/6.25 | (389) ~ (all_0_35_35 = e3) % 23.38/6.25 | (390) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0 % 23.38/6.25 | % 23.38/6.25 +-Applying beta-rule and splitting (331), into two cases. % 23.38/6.25 |-Branch one: % 23.38/6.25 | (416) all_0_31_31 = e3 % 23.38/6.25 | % 23.38/6.25 | Combining equations (483,416) yields a new equation: % 23.38/6.25 | (387) e3 = e1 % 23.38/6.25 | % 23.38/6.25 | Equations (387) can reduce 74 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (419) ~ (all_0_31_31 = e3) % 23.38/6.26 | (420) all_0_35_35 = e3 | all_0_39_39 = e3 % 23.38/6.26 | % 23.38/6.26 | Equations (483) can reduce 419 to: % 23.38/6.26 | (691) ~ (e3 = e1) % 23.38/6.26 | % 23.38/6.26 | Simplifying 691 yields: % 23.38/6.26 | (74) ~ (e3 = e1) % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (141), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (391) all_0_32_32 = e0 % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (14), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (405) all_0_32_32 = e2 % 23.38/6.26 | % 23.38/6.26 | Combining equations (405,391) yields a new equation: % 23.38/6.26 | (535) e2 = e0 % 23.38/6.26 | % 23.38/6.26 | Simplifying 535 yields: % 23.38/6.26 | (536) e2 = e0 % 23.38/6.26 | % 23.38/6.26 | Equations (536) can reduce 87 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (428) ~ (all_0_32_32 = e2) % 23.38/6.26 | (429) all_0_33_33 = e2 | all_0_34_34 = e2 | all_0_35_35 = e2 % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (104), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (654) all_0_28_28 = e3 % 23.38/6.26 | % 23.38/6.26 | Equations (654) can reduce 229 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (229) ~ (all_0_28_28 = e3) % 23.38/6.26 | (657) all_0_29_29 = e3 | all_0_30_30 = e3 | all_0_31_31 = e3 % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (657), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (287) all_0_29_29 = e3 % 23.38/6.26 | % 23.38/6.26 | Equations (287) can reduce 108 to: % 23.38/6.26 | (2343) ~ (all_0_33_33 = e3) % 23.38/6.26 | % 23.38/6.26 | Simplifying 2343 yields: % 23.38/6.26 | (359) ~ (all_0_33_33 = e3) % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (164), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (246) ~ (all_0_29_29 = e3) % 23.38/6.26 | % 23.38/6.26 | Equations (287) can reduce 246 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (287) all_0_29_29 = e3 % 23.38/6.26 | (849) all_0_28_28 = e2 % 23.38/6.26 | % 23.38/6.26 | Equations (849) can reduce 518 to: % 23.38/6.26 | (128) ~ (e2 = e1) % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (429), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (810) all_0_33_33 = e2 % 23.38/6.26 | % 23.38/6.26 | Equations (810) can reduce 359 to: % 23.38/6.26 | (340) ~ (e3 = e2) % 23.38/6.26 | % 23.38/6.26 | Simplifying 340 yields: % 23.38/6.26 | (62) ~ (e3 = e2) % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (420), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (358) all_0_35_35 = e3 % 23.38/6.26 | % 23.38/6.26 | Equations (358) can reduce 389 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (389) ~ (all_0_35_35 = e3) % 23.38/6.26 | (187) all_0_39_39 = e3 % 23.38/6.26 | % 23.38/6.26 | Combining equations (187,191) yields a new equation: % 23.38/6.26 | (364) e3 = e2 % 23.38/6.26 | % 23.38/6.26 | Simplifying 364 yields: % 23.38/6.26 | (333) e3 = e2 % 23.38/6.26 | % 23.38/6.26 | Equations (333) can reduce 62 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (813) ~ (all_0_33_33 = e2) % 23.38/6.26 | (1658) all_0_34_34 = e2 | all_0_35_35 = e2 % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (1658), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (252) all_0_34_34 = e2 % 23.38/6.26 | % 23.38/6.26 | Combining equations (256,252) yields a new equation: % 23.38/6.26 | (343) e2 = e1 % 23.38/6.26 | % 23.38/6.26 | Equations (343) can reduce 128 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (247) ~ (all_0_34_34 = e2) % 23.38/6.26 | (394) all_0_35_35 = e2 % 23.38/6.26 | % 23.38/6.26 | Equations (394) can reduce 319 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (246) ~ (all_0_29_29 = e3) % 23.38/6.26 | (661) all_0_30_30 = e3 | all_0_31_31 = e3 % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (661), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (561) all_0_30_30 = e3 % 23.38/6.26 | % 23.38/6.26 | Equations (561) can reduce 556 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (556) ~ (all_0_30_30 = e3) % 23.38/6.26 | (416) all_0_31_31 = e3 % 23.38/6.26 | % 23.38/6.26 | Combining equations (483,416) yields a new equation: % 23.38/6.26 | (387) e3 = e1 % 23.38/6.26 | % 23.38/6.26 | Equations (387) can reduce 74 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (403) ~ (all_0_32_32 = e0) % 23.38/6.26 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (124), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (408) all_0_32_32 = e3 % 23.38/6.26 | % 23.38/6.26 | Equations (408) can reduce 231 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (231) ~ (all_0_32_32 = e3) % 23.38/6.26 | (433) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0 % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (433), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (405) all_0_32_32 = e2 % 23.38/6.26 | % 23.38/6.26 | Equations (405) can reduce 89 to: % 23.38/6.26 | (318) ~ (all_0_35_35 = e2) % 23.38/6.26 | % 23.38/6.26 | Simplifying 318 yields: % 23.38/6.26 | (319) ~ (all_0_35_35 = e2) % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (390), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (394) all_0_35_35 = e2 % 23.38/6.26 | % 23.38/6.26 | Equations (394) can reduce 319 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (319) ~ (all_0_35_35 = e2) % 23.38/6.26 | (397) all_0_35_35 = e1 | all_0_35_35 = e0 % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (397), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (398) all_0_35_35 = e1 % 23.38/6.26 | % 23.38/6.26 | Equations (398) can reduce 261 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (261) ~ (all_0_35_35 = e1) % 23.38/6.26 | (401) all_0_35_35 = e0 % 23.38/6.26 | % 23.38/6.26 | Equations (401) can reduce 201 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (428) ~ (all_0_32_32 = e2) % 23.38/6.26 | (437) all_0_32_32 = e1 | all_0_32_32 = e0 % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (437), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (438) all_0_32_32 = e1 % 23.38/6.26 | % 23.38/6.26 | Equations (438) can reduce 350 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (350) ~ (all_0_32_32 = e1) % 23.38/6.26 | (391) all_0_32_32 = e0 % 23.38/6.26 | % 23.38/6.26 | Equations (391) can reduce 403 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (538) ~ (all_0_26_26 = e2) % 23.38/6.26 | (586) all_0_26_26 = e1 | all_0_26_26 = e0 % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (586), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (587) all_0_26_26 = e1 % 23.38/6.26 | % 23.38/6.26 | Equations (587) can reduce 257 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (257) ~ (all_0_26_26 = e1) % 23.38/6.26 | (321) all_0_26_26 = e0 % 23.38/6.26 | % 23.38/6.26 | Equations (321) can reduce 541 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (345) ~ (all_0_25_25 = e1) % 23.38/6.26 | (346) all_0_29_29 = e1 | all_0_33_33 = e1 | all_0_37_37 = e1 % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (331), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (416) all_0_31_31 = e3 % 23.38/6.26 | % 23.38/6.26 | Combining equations (483,416) yields a new equation: % 23.38/6.26 | (387) e3 = e1 % 23.38/6.26 | % 23.38/6.26 | Equations (387) can reduce 74 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (419) ~ (all_0_31_31 = e3) % 23.38/6.26 | (420) all_0_35_35 = e3 | all_0_39_39 = e3 % 23.38/6.26 | % 23.38/6.26 | Equations (483) can reduce 419 to: % 23.38/6.26 | (691) ~ (e3 = e1) % 23.38/6.26 | % 23.38/6.26 | Simplifying 691 yields: % 23.38/6.26 | (74) ~ (e3 = e1) % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (56), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (321) all_0_26_26 = e0 % 23.38/6.26 | % 23.38/6.26 | Equations (321) can reduce 541 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (541) ~ (all_0_26_26 = e0) % 23.38/6.26 | (542) all_0_30_30 = e0 | all_0_34_34 = e0 | all_0_38_38 = e0 % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (542), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (557) all_0_30_30 = e0 % 23.38/6.26 | % 23.38/6.26 | Equations (557) can reduce 258 to: % 23.38/6.26 | (209) ~ (e1 = e0) % 23.38/6.26 | % 23.38/6.26 | Simplifying 209 yields: % 23.38/6.26 | (153) ~ (e1 = e0) % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (165), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (363) all_0_25_25 = e3 % 23.38/6.26 | % 23.38/6.26 | Equations (363) can reduce 223 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (223) ~ (all_0_25_25 = e3) % 23.38/6.26 | (2809) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0 % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (126), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (694) all_0_24_24 = e1 % 23.38/6.26 | % 23.38/6.26 | Combining equations (694,221) yields a new equation: % 23.38/6.26 | (387) e3 = e1 % 23.38/6.26 | % 23.38/6.26 | Equations (387) can reduce 74 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (218) ~ (all_0_24_24 = e1) % 23.38/6.26 | (946) all_0_25_25 = e1 | all_0_26_26 = e1 | all_0_27_27 = e1 % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (2809), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (337) all_0_25_25 = e2 % 23.38/6.26 | % 23.38/6.26 | Equations (337) can reduce 345 to: % 23.38/6.26 | (128) ~ (e2 = e1) % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (946), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (342) all_0_25_25 = e1 % 23.38/6.26 | % 23.38/6.26 | Combining equations (342,337) yields a new equation: % 23.38/6.26 | (343) e2 = e1 % 23.38/6.26 | % 23.38/6.26 | Equations (343) can reduce 128 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (345) ~ (all_0_25_25 = e1) % 23.38/6.26 | (950) all_0_26_26 = e1 | all_0_27_27 = e1 % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (950), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (587) all_0_26_26 = e1 % 23.38/6.26 | % 23.38/6.26 | Equations (587) can reduce 257 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (257) ~ (all_0_26_26 = e1) % 23.38/6.26 | (354) all_0_27_27 = e1 % 23.38/6.26 | % 23.38/6.26 | Combining equations (354,930) yields a new equation: % 23.38/6.26 | (510) e1 = e0 % 23.38/6.26 | % 23.38/6.26 | Simplifying 510 yields: % 23.38/6.26 | (379) e1 = e0 % 23.38/6.26 | % 23.38/6.26 | Equations (379) can reduce 153 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (532) ~ (all_0_25_25 = e2) % 23.38/6.26 | (2944) all_0_25_25 = e1 | all_0_25_25 = e0 % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (2944), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (342) all_0_25_25 = e1 % 23.38/6.26 | % 23.38/6.26 | Equations (342) can reduce 345 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (345) ~ (all_0_25_25 = e1) % 23.38/6.26 | (758) all_0_25_25 = e0 % 23.38/6.26 | % 23.38/6.26 | Equations (758) can reduce 726 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (313) ~ (all_0_30_30 = e0) % 23.38/6.26 | (560) all_0_34_34 = e0 | all_0_38_38 = e0 % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (70), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (543) all_0_26_26 = e3 % 23.38/6.26 | % 23.38/6.26 | Equations (543) can reduce 225 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (225) ~ (all_0_26_26 = e3) % 23.38/6.26 | (546) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0 % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (179), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (358) all_0_35_35 = e3 % 23.38/6.26 | % 23.38/6.26 | Equations (358) can reduce 261 to: % 23.38/6.26 | (74) ~ (e3 = e1) % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (546), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (534) all_0_26_26 = e2 % 23.38/6.26 | % 23.38/6.26 | Equations (534) can reduce 225 to: % 23.38/6.26 | (340) ~ (e3 = e2) % 23.38/6.26 | % 23.38/6.26 | Simplifying 340 yields: % 23.38/6.26 | (62) ~ (e3 = e2) % 23.38/6.26 | % 23.38/6.26 | Equations (534) can reduce 257 to: % 23.38/6.26 | (128) ~ (e2 = e1) % 23.38/6.26 | % 23.38/6.26 | Equations (534) can reduce 541 to: % 23.38/6.26 | (87) ~ (e2 = e0) % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (34), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (561) all_0_30_30 = e3 % 23.38/6.26 | % 23.38/6.26 | Equations (561) can reduce 556 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (556) ~ (all_0_30_30 = e3) % 23.38/6.26 | (564) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0 % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (126), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (694) all_0_24_24 = e1 % 23.38/6.26 | % 23.38/6.26 | Combining equations (694,221) yields a new equation: % 23.38/6.26 | (387) e3 = e1 % 23.38/6.26 | % 23.38/6.26 | Equations (387) can reduce 74 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (218) ~ (all_0_24_24 = e1) % 23.38/6.26 | (946) all_0_25_25 = e1 | all_0_26_26 = e1 | all_0_27_27 = e1 % 23.38/6.26 | % 23.38/6.26 | Equations (221) can reduce 218 to: % 23.38/6.26 | (74) ~ (e3 = e1) % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (27), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (763) all_0_28_28 = e0 % 23.38/6.26 | % 23.38/6.26 | Equations (763) can reduce 95 to: % 23.38/6.26 | (1376) ~ (all_0_32_32 = e0) % 23.38/6.26 | % 23.38/6.26 | Simplifying 1376 yields: % 23.38/6.26 | (403) ~ (all_0_32_32 = e0) % 23.38/6.26 | % 23.38/6.26 | Equations (763) can reduce 229 to: % 23.38/6.26 | (205) ~ (e3 = e0) % 23.38/6.26 | % 23.38/6.26 | Simplifying 205 yields: % 23.38/6.26 | (79) ~ (e3 = e0) % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (162), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (332) all_0_24_24 = e2 % 23.38/6.26 | % 23.38/6.26 | Combining equations (332,221) yields a new equation: % 23.38/6.26 | (333) e3 = e2 % 23.38/6.26 | % 23.38/6.26 | Equations (333) can reduce 62 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (219) ~ (all_0_24_24 = e2) % 23.38/6.26 | (718) all_0_28_28 = e2 | all_0_32_32 = e2 | all_0_36_36 = e2 % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (718), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (849) all_0_28_28 = e2 % 23.38/6.26 | % 23.38/6.26 | Combining equations (763,849) yields a new equation: % 23.38/6.26 | (536) e2 = e0 % 23.38/6.26 | % 23.38/6.26 | Equations (536) can reduce 87 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (852) ~ (all_0_28_28 = e2) % 23.38/6.26 | (853) all_0_32_32 = e2 | all_0_36_36 = e2 % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (853), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (405) all_0_32_32 = e2 % 23.38/6.26 | % 23.38/6.26 | Equations (405) can reduce 403 to: % 23.38/6.26 | (87) ~ (e2 = e0) % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (104), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (654) all_0_28_28 = e3 % 23.38/6.26 | % 23.38/6.26 | Combining equations (763,654) yields a new equation: % 23.38/6.26 | (370) e3 = e0 % 23.38/6.26 | % 23.38/6.26 | Equations (370) can reduce 79 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (229) ~ (all_0_28_28 = e3) % 23.38/6.26 | (657) all_0_29_29 = e3 | all_0_30_30 = e3 | all_0_31_31 = e3 % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (657), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (287) all_0_29_29 = e3 % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (164), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (246) ~ (all_0_29_29 = e3) % 23.38/6.26 | % 23.38/6.26 | Equations (287) can reduce 246 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (287) all_0_29_29 = e3 % 23.38/6.26 | (849) all_0_28_28 = e2 % 23.38/6.26 | % 23.38/6.26 | Combining equations (763,849) yields a new equation: % 23.38/6.26 | (536) e2 = e0 % 23.38/6.26 | % 23.38/6.26 | Equations (536) can reduce 87 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (246) ~ (all_0_29_29 = e3) % 23.38/6.26 | (661) all_0_30_30 = e3 | all_0_31_31 = e3 % 23.38/6.26 | % 23.38/6.26 +-Applying beta-rule and splitting (661), into two cases. % 23.38/6.26 |-Branch one: % 23.38/6.26 | (561) all_0_30_30 = e3 % 23.38/6.26 | % 23.38/6.26 | Equations (561) can reduce 556 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (556) ~ (all_0_30_30 = e3) % 23.38/6.26 | (416) all_0_31_31 = e3 % 23.38/6.26 | % 23.38/6.26 | Combining equations (483,416) yields a new equation: % 23.38/6.26 | (387) e3 = e1 % 23.38/6.26 | % 23.38/6.26 | Equations (387) can reduce 74 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.26 | (428) ~ (all_0_32_32 = e2) % 23.38/6.26 | (732) all_0_36_36 = e2 % 23.38/6.26 | % 23.38/6.26 | Combining equations (445,732) yields a new equation: % 23.38/6.26 | (343) e2 = e1 % 23.38/6.26 | % 23.38/6.26 | Equations (343) can reduce 128 to: % 23.38/6.26 | (188) $false % 23.38/6.26 | % 23.38/6.26 |-The branch is then unsatisfiable % 23.38/6.26 |-Branch two: % 23.38/6.27 | (311) ~ (all_0_28_28 = e0) % 23.38/6.27 | (768) all_0_29_29 = e0 | all_0_30_30 = e0 | all_0_31_31 = e0 % 23.38/6.27 | % 23.38/6.27 +-Applying beta-rule and splitting (768), into two cases. % 23.38/6.27 |-Branch one: % 23.38/6.27 | (306) all_0_29_29 = e0 % 23.38/6.27 | % 23.38/6.27 | Equations (306) can reduce 286 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (286) ~ (all_0_29_29 = e0) % 23.38/6.27 | (798) all_0_30_30 = e0 | all_0_31_31 = e0 % 23.38/6.27 | % 23.38/6.27 +-Applying beta-rule and splitting (798), into two cases. % 23.38/6.27 |-Branch one: % 23.38/6.27 | (557) all_0_30_30 = e0 % 23.38/6.27 | % 23.38/6.27 | Equations (557) can reduce 313 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (313) ~ (all_0_30_30 = e0) % 23.38/6.27 | (938) all_0_31_31 = e0 % 23.38/6.27 | % 23.38/6.27 | Combining equations (483,938) yields a new equation: % 23.38/6.27 | (510) e1 = e0 % 23.38/6.27 | % 23.38/6.27 | Simplifying 510 yields: % 23.38/6.27 | (379) e1 = e0 % 23.38/6.27 | % 23.38/6.27 | Equations (379) can reduce 153 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (538) ~ (all_0_26_26 = e2) % 23.38/6.27 | (586) all_0_26_26 = e1 | all_0_26_26 = e0 % 23.38/6.27 | % 23.38/6.27 +-Applying beta-rule and splitting (586), into two cases. % 23.38/6.27 |-Branch one: % 23.38/6.27 | (587) all_0_26_26 = e1 % 23.38/6.27 | % 23.38/6.27 | Equations (587) can reduce 257 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (257) ~ (all_0_26_26 = e1) % 23.38/6.27 | (321) all_0_26_26 = e0 % 23.38/6.27 | % 23.38/6.27 | Equations (321) can reduce 541 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (389) ~ (all_0_35_35 = e3) % 23.38/6.27 | (390) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0 % 23.38/6.27 | % 23.38/6.27 +-Applying beta-rule and splitting (54), into two cases. % 23.38/6.27 |-Branch one: % 23.38/6.27 | (408) all_0_32_32 = e3 % 23.38/6.27 | % 23.38/6.27 | Equations (408) can reduce 231 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (231) ~ (all_0_32_32 = e3) % 23.38/6.27 | (413) all_0_33_33 = e3 | all_0_34_34 = e3 | all_0_35_35 = e3 % 23.38/6.27 | % 23.38/6.27 +-Applying beta-rule and splitting (413), into two cases. % 23.38/6.27 |-Branch one: % 23.38/6.27 | (374) all_0_33_33 = e3 % 23.38/6.27 | % 23.38/6.27 | Equations (374) can reduce 259 to: % 23.38/6.27 | (74) ~ (e3 = e1) % 23.38/6.27 | % 23.38/6.27 +-Applying beta-rule and splitting (346), into two cases. % 23.38/6.27 |-Branch one: % 23.38/6.27 | (303) all_0_29_29 = e1 % 23.38/6.27 | % 23.38/6.27 | Equations (303) can reduce 183 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (183) ~ (all_0_29_29 = e1) % 23.38/6.27 | (382) all_0_33_33 = e1 | all_0_37_37 = e1 % 23.38/6.27 | % 23.38/6.27 +-Applying beta-rule and splitting (382), into two cases. % 23.38/6.27 |-Branch one: % 23.38/6.27 | (383) all_0_33_33 = e1 % 23.38/6.27 | % 23.38/6.27 | Combining equations (374,383) yields a new equation: % 23.38/6.27 | (492) e3 = e1 % 23.38/6.27 | % 23.38/6.27 | Simplifying 492 yields: % 23.38/6.27 | (387) e3 = e1 % 23.38/6.27 | % 23.38/6.27 | Equations (387) can reduce 74 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (259) ~ (all_0_33_33 = e1) % 23.38/6.27 | (386) all_0_37_37 = e1 % 23.38/6.27 | % 23.38/6.27 | Combining equations (386,886) yields a new equation: % 23.38/6.27 | (510) e1 = e0 % 23.38/6.27 | % 23.38/6.27 | Simplifying 510 yields: % 23.38/6.27 | (379) e1 = e0 % 23.38/6.27 | % 23.38/6.27 | Equations (379) can reduce 153 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (359) ~ (all_0_33_33 = e3) % 23.38/6.27 | (1510) all_0_34_34 = e3 | all_0_35_35 = e3 % 23.38/6.27 | % 23.38/6.27 +-Applying beta-rule and splitting (1510), into two cases. % 23.38/6.27 |-Branch one: % 23.38/6.27 | (248) all_0_34_34 = e3 % 23.38/6.27 | % 23.38/6.27 | Combining equations (256,248) yields a new equation: % 23.38/6.27 | (387) e3 = e1 % 23.38/6.27 | % 23.38/6.27 | Equations (387) can reduce 74 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (244) ~ (all_0_34_34 = e3) % 23.38/6.27 | (358) all_0_35_35 = e3 % 23.38/6.27 | % 23.38/6.27 | Equations (358) can reduce 389 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (619) ~ (all_0_34_34 = e1) % 23.38/6.27 | (620) all_0_34_34 = e0 % 23.38/6.27 | % 23.38/6.27 | Equations (620) can reduce 245 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (499) ~ (all_0_38_38 = e3) % 23.38/6.27 | (575) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0 % 23.38/6.27 | % 23.38/6.27 +-Applying beta-rule and splitting (575), into two cases. % 23.38/6.27 |-Branch one: % 23.38/6.27 | (576) all_0_38_38 = e2 % 23.38/6.27 | % 23.38/6.27 | Equations (576) can reduce 554 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (554) ~ (all_0_38_38 = e2) % 23.38/6.27 | (579) all_0_38_38 = e1 | all_0_38_38 = e0 % 23.38/6.27 | % 23.38/6.27 +-Applying beta-rule and splitting (579), into two cases. % 23.38/6.27 |-Branch one: % 23.38/6.27 | (506) all_0_38_38 = e1 % 23.38/6.27 | % 23.38/6.27 | Equations (506) can reduce 263 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (263) ~ (all_0_38_38 = e1) % 23.38/6.27 | (583) all_0_38_38 = e0 % 23.38/6.27 | % 23.38/6.27 | Equations (583) can reduce 204 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (352) ~ (all_0_36_36 = e1) % 23.38/6.27 | (1232) all_0_36_36 = e0 % 23.38/6.27 | % 23.38/6.27 | Equations (1232) can reduce 202 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (1876) ~ (all_0_24_24 = e3) % 23.38/6.27 | (1877) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0 % 23.38/6.27 | % 23.38/6.27 +-Applying beta-rule and splitting (1877), into two cases. % 23.38/6.27 |-Branch one: % 23.38/6.27 | (332) all_0_24_24 = e2 % 23.38/6.27 | % 23.38/6.27 | Equations (332) can reduce 219 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (219) ~ (all_0_24_24 = e2) % 23.38/6.27 | (1881) all_0_24_24 = e1 | all_0_24_24 = e0 % 23.38/6.27 | % 23.38/6.27 +-Applying beta-rule and splitting (1881), into two cases. % 23.38/6.27 |-Branch one: % 23.38/6.27 | (694) all_0_24_24 = e1 % 23.38/6.27 | % 23.38/6.27 | Equations (694) can reduce 218 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (218) ~ (all_0_24_24 = e1) % 23.38/6.27 | (1082) all_0_24_24 = e0 % 23.38/6.27 | % 23.38/6.27 | Equations (1082) can reduce 220 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (1082) all_0_24_24 = e0 % 23.38/6.27 | (328) all_0_27_27 = e3 % 23.38/6.27 | % 23.38/6.27 | Equations (1082) can reduce 149 to: % 23.38/6.27 | (1889) ~ (all_0_25_25 = e0) % 23.38/6.27 | % 23.38/6.27 | Simplifying 1889 yields: % 23.38/6.27 | (726) ~ (all_0_25_25 = e0) % 23.38/6.27 | % 23.38/6.27 | Equations (1082) can reduce 60 to: % 23.38/6.27 | (1891) ~ (all_0_26_26 = e0) % 23.38/6.27 | % 23.38/6.27 | Simplifying 1891 yields: % 23.38/6.27 | (541) ~ (all_0_26_26 = e0) % 23.38/6.27 | % 23.38/6.27 | Equations (1082) can reduce 102 to: % 23.38/6.27 | (1376) ~ (all_0_32_32 = e0) % 23.38/6.27 | % 23.38/6.27 | Simplifying 1376 yields: % 23.38/6.27 | (403) ~ (all_0_32_32 = e0) % 23.38/6.27 | % 23.38/6.27 | Equations (328) can reduce 130 to: % 23.38/6.27 | (223) ~ (all_0_25_25 = e3) % 23.38/6.27 | % 23.38/6.27 | Equations (328) can reduce 18 to: % 23.38/6.27 | (225) ~ (all_0_26_26 = e3) % 23.38/6.27 | % 23.38/6.27 | Equations (328) can reduce 7 to: % 23.38/6.27 | (1903) ~ (all_0_35_35 = e3) % 23.38/6.27 | % 23.38/6.27 | Simplifying 1903 yields: % 23.38/6.27 | (389) ~ (all_0_35_35 = e3) % 23.38/6.27 | % 23.38/6.27 | Equations (328) can reduce 310 to: % 23.38/6.27 | (62) ~ (e3 = e2) % 23.38/6.27 | % 23.38/6.27 | From (1082)(1082) and (143) follows: % 23.38/6.27 | (6591) op(e0, e0) = all_0_7_7 % 23.38/6.27 | % 23.38/6.27 +-Applying beta-rule and splitting (141), into two cases. % 23.38/6.27 |-Branch one: % 23.38/6.27 | (391) all_0_32_32 = e0 % 23.38/6.27 | % 23.38/6.27 | Equations (391) can reduce 403 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (403) ~ (all_0_32_32 = e0) % 23.38/6.27 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 23.38/6.27 | % 23.38/6.27 +-Applying beta-rule and splitting (56), into two cases. % 23.38/6.27 |-Branch one: % 23.38/6.27 | (321) all_0_26_26 = e0 % 23.38/6.27 | % 23.38/6.27 | Equations (321) can reduce 541 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (541) ~ (all_0_26_26 = e0) % 23.38/6.27 | (542) all_0_30_30 = e0 | all_0_34_34 = e0 | all_0_38_38 = e0 % 23.38/6.27 | % 23.38/6.27 +-Applying beta-rule and splitting (404), into two cases. % 23.38/6.27 |-Branch one: % 23.38/6.27 | (882) all_0_33_33 = e0 % 23.38/6.27 | % 23.38/6.27 | Equations (882) can reduce 885 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (885) ~ (all_0_33_33 = e0) % 23.38/6.27 | (1032) all_0_34_34 = e0 | all_0_35_35 = e0 % 23.38/6.27 | % 23.38/6.27 +-Applying beta-rule and splitting (542), into two cases. % 23.38/6.27 |-Branch one: % 23.38/6.27 | (557) all_0_30_30 = e0 % 23.38/6.27 | % 23.38/6.27 | Equations (557) can reduce 151 to: % 23.38/6.27 | (541) ~ (all_0_26_26 = e0) % 23.38/6.27 | % 23.38/6.27 | Equations (557) can reduce 139 to: % 23.38/6.27 | (1121) ~ (all_0_34_34 = e0) % 23.38/6.27 | % 23.38/6.27 | Simplifying 1121 yields: % 23.38/6.27 | (245) ~ (all_0_34_34 = e0) % 23.38/6.27 | % 23.38/6.27 +-Applying beta-rule and splitting (1032), into two cases. % 23.38/6.27 |-Branch one: % 23.38/6.27 | (620) all_0_34_34 = e0 % 23.38/6.27 | % 23.38/6.27 | Equations (620) can reduce 245 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (245) ~ (all_0_34_34 = e0) % 23.38/6.27 | (401) all_0_35_35 = e0 % 23.38/6.27 | % 23.38/6.27 | Equations (401) can reduce 389 to: % 23.38/6.27 | (205) ~ (e3 = e0) % 23.38/6.27 | % 23.38/6.27 | Simplifying 205 yields: % 23.38/6.27 | (79) ~ (e3 = e0) % 23.38/6.27 | % 23.38/6.27 | Equations (401) can reduce 319 to: % 23.38/6.27 | (207) ~ (e2 = e0) % 23.38/6.27 | % 23.38/6.27 | Simplifying 207 yields: % 23.38/6.27 | (87) ~ (e2 = e0) % 23.38/6.27 | % 23.38/6.27 +-Applying beta-rule and splitting (6), into two cases. % 23.38/6.27 |-Branch one: % 23.38/6.27 | (534) all_0_26_26 = e2 % 23.38/6.27 | % 23.38/6.27 | Equations (534) can reduce 71 to: % 23.38/6.27 | (532) ~ (all_0_25_25 = e2) % 23.38/6.27 | % 23.38/6.27 +-Applying beta-rule and splitting (165), into two cases. % 23.38/6.27 |-Branch one: % 23.38/6.27 | (363) all_0_25_25 = e3 % 23.38/6.27 | % 23.38/6.27 | Equations (363) can reduce 223 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (223) ~ (all_0_25_25 = e3) % 23.38/6.27 | (2809) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0 % 23.38/6.27 | % 23.38/6.27 +-Applying beta-rule and splitting (2809), into two cases. % 23.38/6.27 |-Branch one: % 23.38/6.27 | (337) all_0_25_25 = e2 % 23.38/6.27 | % 23.38/6.27 | Equations (337) can reduce 532 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (532) ~ (all_0_25_25 = e2) % 23.38/6.27 | (2944) all_0_25_25 = e1 | all_0_25_25 = e0 % 23.38/6.27 | % 23.38/6.27 +-Applying beta-rule and splitting (2944), into two cases. % 23.38/6.27 |-Branch one: % 23.38/6.27 | (342) all_0_25_25 = e1 % 23.38/6.27 | % 23.38/6.27 | From (342) and (43) follows: % 23.38/6.27 | (6627) op(e3, e2) = e1 % 23.38/6.27 | % 23.38/6.27 | Instantiating formula (58) with e0, e0, all_0_7_7, e2 and discharging atoms op(e0, e0) = all_0_7_7, op(e0, e0) = e2, yields: % 23.38/6.27 | (3905) all_0_7_7 = e2 % 23.38/6.27 | % 23.38/6.27 | From (3905) and (72) follows: % 23.38/6.27 | (3917) op(e3, e2) = all_0_6_6 % 23.38/6.27 | % 23.38/6.27 +-Applying beta-rule and splitting (109), into two cases. % 23.38/6.27 |-Branch one: % 23.38/6.27 | (3156) ~ (all_0_6_6 = e1) % 23.38/6.27 | % 23.38/6.27 | Instantiating formula (58) with e3, e2, all_0_6_6, e1 and discharging atoms op(e3, e2) = all_0_6_6, op(e3, e2) = e1, yields: % 23.38/6.27 | (3157) all_0_6_6 = e1 % 23.38/6.27 | % 23.38/6.27 | Equations (3157) can reduce 3156 to: % 23.38/6.27 | (188) $false % 23.38/6.27 | % 23.38/6.27 |-The branch is then unsatisfiable % 23.38/6.27 |-Branch two: % 23.38/6.27 | (3157) all_0_6_6 = e1 % 23.38/6.27 | (6634) ~ (all_0_7_7 = e2) | ~ (all_0_24_24 = e0) % 23.38/6.27 | % 23.38/6.27 +-Applying beta-rule and splitting (6634), into two cases. % 23.38/6.27 |-Branch one: % 23.38/6.28 | (4017) ~ (all_0_7_7 = e2) % 23.38/6.28 | % 23.38/6.28 | Equations (3905) can reduce 4017 to: % 23.38/6.28 | (188) $false % 23.38/6.28 | % 23.38/6.28 |-The branch is then unsatisfiable % 23.38/6.28 |-Branch two: % 23.38/6.28 | (3905) all_0_7_7 = e2 % 23.38/6.28 | (220) ~ (all_0_24_24 = e0) % 23.38/6.28 | % 23.38/6.28 | Equations (1082) can reduce 220 to: % 23.38/6.28 | (188) $false % 23.38/6.28 | % 23.38/6.28 |-The branch is then unsatisfiable % 23.38/6.28 |-Branch two: % 23.38/6.28 | (345) ~ (all_0_25_25 = e1) % 23.38/6.28 | (758) all_0_25_25 = e0 % 23.38/6.28 | % 23.38/6.28 | Equations (758) can reduce 726 to: % 23.38/6.28 | (188) $false % 23.38/6.28 | % 23.38/6.28 |-The branch is then unsatisfiable % 23.38/6.28 |-Branch two: % 23.38/6.28 | (538) ~ (all_0_26_26 = e2) % 23.38/6.28 | (1441) all_0_30_30 = e2 | all_0_34_34 = e2 | all_0_38_38 = e2 % 23.38/6.28 | % 23.38/6.28 +-Applying beta-rule and splitting (158), into two cases. % 23.38/6.28 |-Branch one: % 23.38/6.28 | (332) all_0_24_24 = e2 % 23.38/6.28 | % 23.38/6.28 | Combining equations (332,1082) yields a new equation: % 23.38/6.28 | (535) e2 = e0 % 23.38/6.28 | % 23.38/6.28 | Simplifying 535 yields: % 23.38/6.28 | (536) e2 = e0 % 23.38/6.28 | % 23.38/6.28 | Equations (536) can reduce 87 to: % 23.38/6.28 | (188) $false % 23.38/6.28 | % 23.38/6.28 |-The branch is then unsatisfiable % 23.38/6.28 |-Branch two: % 23.38/6.28 | (219) ~ (all_0_24_24 = e2) % 23.38/6.28 | (336) all_0_25_25 = e2 | all_0_26_26 = e2 | all_0_27_27 = e2 % 23.38/6.28 | % 23.38/6.28 +-Applying beta-rule and splitting (70), into two cases. % 23.38/6.28 |-Branch one: % 23.38/6.28 | (543) all_0_26_26 = e3 % 23.38/6.28 | % 23.38/6.28 | Equations (543) can reduce 225 to: % 23.38/6.28 | (188) $false % 23.38/6.28 | % 23.38/6.28 |-The branch is then unsatisfiable % 23.38/6.28 |-Branch two: % 23.38/6.28 | (225) ~ (all_0_26_26 = e3) % 23.38/6.28 | (546) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0 % 23.38/6.28 | % 23.38/6.28 +-Applying beta-rule and splitting (336), into two cases. % 23.38/6.28 |-Branch one: % 23.38/6.28 | (337) all_0_25_25 = e2 % 23.38/6.28 | % 23.38/6.28 | Equations (337) can reduce 71 to: % 23.38/6.28 | (5076) ~ (all_0_26_26 = e2) % 23.38/6.28 | % 23.38/6.28 | Simplifying 5076 yields: % 23.38/6.28 | (538) ~ (all_0_26_26 = e2) % 23.38/6.28 | % 23.38/6.28 | Equations (337) can reduce 47 to: % 23.38/6.28 | (755) ~ (all_0_29_29 = e2) % 23.38/6.28 | % 23.38/6.28 | Simplifying 755 yields: % 23.38/6.28 | (301) ~ (all_0_29_29 = e2) % 23.38/6.28 | % 23.38/6.28 | Equations (337) can reduce 726 to: % 23.38/6.28 | (87) ~ (e2 = e0) % 23.38/6.28 | % 23.38/6.28 +-Applying beta-rule and splitting (67), into two cases. % 23.38/6.28 |-Branch one: % 23.38/6.28 | (221) all_0_24_24 = e3 % 23.38/6.28 | % 23.38/6.28 | Combining equations (221,1082) yields a new equation: % 23.38/6.28 | (425) e3 = e0 % 23.38/6.28 | % 23.38/6.28 | Simplifying 425 yields: % 23.38/6.28 | (370) e3 = e0 % 23.38/6.28 | % 23.38/6.28 | Equations (370) can reduce 79 to: % 23.38/6.28 | (188) $false % 23.38/6.28 | % 23.38/6.28 |-The branch is then unsatisfiable % 23.38/6.28 |-Branch two: % 23.38/6.28 | (1876) ~ (all_0_24_24 = e3) % 23.38/6.28 | (5657) all_0_29_29 = e2 | all_0_34_34 = e1 | all_0_39_39 = e0 % 23.38/6.28 | % 23.38/6.28 +-Applying beta-rule and splitting (5657), into two cases. % 23.38/6.28 |-Branch one: % 23.38/6.28 | (291) all_0_29_29 = e2 % 23.38/6.28 | % 23.38/6.28 | Equations (291) can reduce 301 to: % 23.38/6.28 | (188) $false % 23.38/6.28 | % 23.38/6.28 |-The branch is then unsatisfiable % 23.38/6.28 |-Branch two: % 23.38/6.28 | (301) ~ (all_0_29_29 = e2) % 23.38/6.28 | (5663) all_0_34_34 = e1 | all_0_39_39 = e0 % 23.38/6.28 | % 23.38/6.28 +-Applying beta-rule and splitting (5663), into two cases. % 23.38/6.28 |-Branch one: % 23.38/6.28 | (256) all_0_34_34 = e1 % 23.38/6.28 | % 23.38/6.28 | Equations (256) can reduce 131 to: % 23.38/6.28 | (257) ~ (all_0_26_26 = e1) % 23.38/6.28 | % 23.38/6.28 +-Applying beta-rule and splitting (546), into two cases. % 23.38/6.28 |-Branch one: % 23.38/6.28 | (534) all_0_26_26 = e2 % 23.38/6.28 | % 23.38/6.28 | Equations (534) can reduce 538 to: % 23.38/6.28 | (188) $false % 23.38/6.28 | % 23.38/6.28 |-The branch is then unsatisfiable % 23.38/6.28 |-Branch two: % 23.38/6.28 | (538) ~ (all_0_26_26 = e2) % 23.38/6.28 | (586) all_0_26_26 = e1 | all_0_26_26 = e0 % 23.38/6.28 | % 23.38/6.28 +-Applying beta-rule and splitting (586), into two cases. % 23.38/6.28 |-Branch one: % 23.38/6.28 | (587) all_0_26_26 = e1 % 23.38/6.28 | % 23.38/6.28 | Equations (587) can reduce 257 to: % 23.38/6.28 | (188) $false % 23.38/6.28 | % 23.38/6.28 |-The branch is then unsatisfiable % 23.38/6.28 |-Branch two: % 23.38/6.28 | (257) ~ (all_0_26_26 = e1) % 23.38/6.28 | (321) all_0_26_26 = e0 % 23.38/6.28 | % 23.38/6.28 | Equations (321) can reduce 541 to: % 23.38/6.28 | (188) $false % 23.38/6.28 | % 23.38/6.28 |-The branch is then unsatisfiable % 23.38/6.28 |-Branch two: % 23.38/6.28 | (619) ~ (all_0_34_34 = e1) % 23.38/6.28 | (198) all_0_39_39 = e0 % 23.38/6.28 | % 23.38/6.28 | Combining equations (191,198) yields a new equation: % 23.38/6.28 | (535) e2 = e0 % 23.38/6.28 | % 23.38/6.28 | Simplifying 535 yields: % 23.38/6.28 | (536) e2 = e0 % 23.38/6.28 | % 23.38/6.28 | Equations (536) can reduce 87 to: % 23.38/6.28 | (188) $false % 23.38/6.28 | % 23.38/6.28 |-The branch is then unsatisfiable % 23.38/6.28 |-Branch two: % 23.38/6.28 | (532) ~ (all_0_25_25 = e2) % 23.38/6.28 | (533) all_0_26_26 = e2 | all_0_27_27 = e2 % 23.38/6.28 | % 23.38/6.28 +-Applying beta-rule and splitting (533), into two cases. % 23.38/6.28 |-Branch one: % 23.38/6.28 | (534) all_0_26_26 = e2 % 23.38/6.28 | % 23.38/6.28 | Equations (534) can reduce 538 to: % 23.38/6.28 | (188) $false % 23.38/6.28 | % 23.38/6.28 |-The branch is then unsatisfiable % 23.38/6.28 |-Branch two: % 23.38/6.28 | (538) ~ (all_0_26_26 = e2) % 23.38/6.28 | (539) all_0_27_27 = e2 % 23.38/6.28 | % 23.38/6.28 | Combining equations (328,539) yields a new equation: % 23.38/6.28 | (364) e3 = e2 % 23.38/6.28 | % 23.38/6.28 | Simplifying 364 yields: % 23.38/6.28 | (333) e3 = e2 % 23.38/6.28 | % 23.38/6.28 | Equations (333) can reduce 62 to: % 23.38/6.28 | (188) $false % 23.38/6.28 | % 23.38/6.28 |-The branch is then unsatisfiable % 23.38/6.28 |-Branch two: % 23.38/6.28 | (313) ~ (all_0_30_30 = e0) % 23.38/6.28 | (560) all_0_34_34 = e0 | all_0_38_38 = e0 % 23.38/6.28 | % 23.38/6.28 +-Applying beta-rule and splitting (560), into two cases. % 23.38/6.28 |-Branch one: % 23.38/6.28 | (620) all_0_34_34 = e0 % 23.38/6.28 | % 23.38/6.28 | Equations (620) can reduce 245 to: % 23.38/6.28 | (188) $false % 23.38/6.28 | % 23.38/6.28 |-The branch is then unsatisfiable % 23.38/6.28 |-Branch two: % 23.38/6.28 | (245) ~ (all_0_34_34 = e0) % 23.38/6.28 | (583) all_0_38_38 = e0 % 23.38/6.28 | % 23.38/6.28 | Equations (583) can reduce 204 to: % 23.38/6.28 | (188) $false % 23.38/6.28 | % 23.38/6.28 |-The branch is then unsatisfiable % 23.38/6.28 |-Branch two: % 23.38/6.28 | (252) all_0_34_34 = e2 % 23.38/6.28 | (383) all_0_33_33 = e1 % 23.38/6.28 | % 23.38/6.28 | Equations (383) can reduce 114 to: % 23.38/6.28 | (345) ~ (all_0_25_25 = e1) % 23.38/6.28 | % 23.38/6.28 | Equations (252) can reduce 131 to: % 23.38/6.28 | (538) ~ (all_0_26_26 = e2) % 23.38/6.28 | % 23.38/6.28 | Equations (383) can reduce 108 to: % 23.38/6.28 | (183) ~ (all_0_29_29 = e1) % 23.38/6.28 | % 23.38/6.28 | Equations (383) can reduce 2 to: % 23.38/6.28 | (350) ~ (all_0_32_32 = e1) % 23.38/6.28 | % 23.38/6.28 +-Applying beta-rule and splitting (158), into two cases. % 23.38/6.28 |-Branch one: % 23.38/6.28 | (332) all_0_24_24 = e2 % 23.38/6.28 | % 23.38/6.28 | Equations (332) can reduce 219 to: % 23.38/6.28 | (188) $false % 23.38/6.28 | % 23.38/6.28 |-The branch is then unsatisfiable % 23.38/6.28 |-Branch two: % 23.38/6.28 | (219) ~ (all_0_24_24 = e2) % 23.38/6.28 | (336) all_0_25_25 = e2 | all_0_26_26 = e2 | all_0_27_27 = e2 % 23.38/6.28 | % 23.38/6.28 +-Applying beta-rule and splitting (162), into two cases. % 23.38/6.28 |-Branch one: % 23.38/6.28 | (332) all_0_24_24 = e2 % 23.38/6.28 | % 23.38/6.28 | Equations (332) can reduce 219 to: % 23.38/6.28 | (188) $false % 23.38/6.28 | % 23.38/6.28 |-The branch is then unsatisfiable % 23.38/6.28 |-Branch two: % 23.38/6.28 | (219) ~ (all_0_24_24 = e2) % 23.38/6.28 | (718) all_0_28_28 = e2 | all_0_32_32 = e2 | all_0_36_36 = e2 % 23.38/6.28 | % 23.38/6.28 +-Applying beta-rule and splitting (336), into two cases. % 23.38/6.28 |-Branch one: % 23.38/6.28 | (337) all_0_25_25 = e2 % 23.38/6.28 | % 23.38/6.28 | Equations (337) can reduce 47 to: % 23.38/6.28 | (755) ~ (all_0_29_29 = e2) % 23.38/6.28 | % 23.38/6.28 | Simplifying 755 yields: % 23.38/6.28 | (301) ~ (all_0_29_29 = e2) % 23.38/6.28 | % 23.38/6.28 | Equations (337) can reduce 345 to: % 23.38/6.28 | (128) ~ (e2 = e1) % 23.38/6.28 | % 23.38/6.28 +-Applying beta-rule and splitting (718), into two cases. % 23.38/6.28 |-Branch one: % 23.38/6.28 | (849) all_0_28_28 = e2 % 23.38/6.28 | % 23.38/6.28 | Equations (849) can reduce 118 to: % 23.38/6.28 | (755) ~ (all_0_29_29 = e2) % 23.38/6.28 | % 23.38/6.28 | Simplifying 755 yields: % 23.38/6.28 | (301) ~ (all_0_29_29 = e2) % 23.38/6.28 | % 23.38/6.28 +-Applying beta-rule and splitting (78), into two cases. % 23.38/6.28 |-Branch one: % 23.38/6.28 | (287) all_0_29_29 = e3 % 23.38/6.28 | % 23.38/6.28 | Combining equations (287,6120) yields a new equation: % 23.38/6.28 | (6266) all_0_1_1 = e3 % 23.38/6.28 | % 23.38/6.28 | From (287) and (6123) follows: % 23.38/6.28 | (6267) op(e0, e3) = all_0_0_0 % 23.38/6.28 | % 23.38/6.28 +-Applying beta-rule and splitting (65), into two cases. % 23.38/6.28 |-Branch one: % 23.38/6.28 | (5823) ~ (all_0_0_0 = e1) % 23.38/6.28 | % 23.38/6.28 +-Applying beta-rule and splitting (113), into two cases. % 23.38/6.28 |-Branch one: % 23.38/6.28 | (694) all_0_24_24 = e1 % 23.38/6.28 | % 23.38/6.28 | Equations (694) can reduce 218 to: % 23.38/6.28 | (188) $false % 23.38/6.28 | % 23.38/6.28 |-The branch is then unsatisfiable % 23.38/6.28 |-Branch two: % 23.38/6.28 | (218) ~ (all_0_24_24 = e1) % 23.38/6.28 | (699) all_0_28_28 = e1 | all_0_32_32 = e1 | all_0_36_36 = e1 % 23.38/6.28 | % 23.38/6.28 +-Applying beta-rule and splitting (699), into two cases. % 23.38/6.28 |-Branch one: % 23.38/6.28 | (348) all_0_28_28 = e1 % 23.38/6.28 | % 23.38/6.28 | Combining equations (849,348) yields a new equation: % 23.38/6.28 | (484) e2 = e1 % 23.38/6.28 | % 23.38/6.28 | Simplifying 484 yields: % 23.38/6.28 | (343) e2 = e1 % 23.38/6.28 | % 23.38/6.28 | Equations (343) can reduce 128 to: % 23.38/6.28 | (188) $false % 23.38/6.28 | % 23.38/6.28 |-The branch is then unsatisfiable % 23.38/6.28 |-Branch two: % 23.38/6.28 | (518) ~ (all_0_28_28 = e1) % 23.38/6.28 | (1003) all_0_32_32 = e1 | all_0_36_36 = e1 % 23.38/6.28 | % 23.38/6.28 +-Applying beta-rule and splitting (1003), into two cases. % 23.38/6.28 |-Branch one: % 23.38/6.28 | (438) all_0_32_32 = e1 % 23.38/6.28 | % 23.38/6.28 | Equations (438) can reduce 350 to: % 23.38/6.28 | (188) $false % 23.38/6.28 | % 23.38/6.28 |-The branch is then unsatisfiable % 23.38/6.28 |-Branch two: % 23.38/6.28 | (350) ~ (all_0_32_32 = e1) % 23.38/6.28 | (445) all_0_36_36 = e1 % 23.38/6.28 | % 23.38/6.28 | From (445) and (81) follows: % 23.38/6.28 | (6152) op(e0, e3) = e1 % 23.38/6.28 | % 23.38/6.28 | Instantiating formula (58) with e0, e3, e1, all_0_0_0 and discharging atoms op(e0, e3) = all_0_0_0, op(e0, e3) = e1, yields: % 23.38/6.28 | (6096) all_0_0_0 = e1 % 23.38/6.28 | % 23.38/6.28 | Equations (6096) can reduce 5823 to: % 23.38/6.28 | (188) $false % 23.38/6.28 | % 23.38/6.28 |-The branch is then unsatisfiable % 23.38/6.28 |-Branch two: % 23.38/6.28 | (6096) all_0_0_0 = e1 % 23.38/6.28 | (6272) ~ (all_0_1_1 = e3) | ~ (all_0_39_39 = e2) % 23.38/6.28 | % 23.38/6.28 +-Applying beta-rule and splitting (6272), into two cases. % 23.38/6.28 |-Branch one: % 23.38/6.28 | (6273) ~ (all_0_1_1 = e3) % 23.38/6.28 | % 23.38/6.28 | Equations (6266) can reduce 6273 to: % 23.38/6.28 | (188) $false % 23.38/6.28 | % 23.38/6.28 |-The branch is then unsatisfiable % 23.38/6.28 |-Branch two: % 23.38/6.29 | (6266) all_0_1_1 = e3 % 23.38/6.29 | (185) ~ (all_0_39_39 = e2) % 23.38/6.29 | % 23.38/6.29 | Equations (191) can reduce 185 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (246) ~ (all_0_29_29 = e3) % 23.38/6.29 | (290) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0 % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (290), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (291) all_0_29_29 = e2 % 23.38/6.29 | % 23.38/6.29 | Equations (291) can reduce 301 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (301) ~ (all_0_29_29 = e2) % 23.38/6.29 | (302) all_0_29_29 = e1 | all_0_29_29 = e0 % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (302), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (303) all_0_29_29 = e1 % 23.38/6.29 | % 23.38/6.29 | Equations (303) can reduce 183 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (183) ~ (all_0_29_29 = e1) % 23.38/6.29 | (306) all_0_29_29 = e0 % 23.38/6.29 | % 23.38/6.29 | Equations (306) can reduce 286 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (852) ~ (all_0_28_28 = e2) % 23.38/6.29 | (853) all_0_32_32 = e2 | all_0_36_36 = e2 % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (78), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (287) all_0_29_29 = e3 % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (164), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (246) ~ (all_0_29_29 = e3) % 23.38/6.29 | % 23.38/6.29 | Equations (287) can reduce 246 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (287) all_0_29_29 = e3 % 23.38/6.29 | (849) all_0_28_28 = e2 % 23.38/6.29 | % 23.38/6.29 | Equations (849) can reduce 852 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (246) ~ (all_0_29_29 = e3) % 23.38/6.29 | (290) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0 % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (290), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (291) all_0_29_29 = e2 % 23.38/6.29 | % 23.38/6.29 | Equations (291) can reduce 301 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (301) ~ (all_0_29_29 = e2) % 23.38/6.29 | (302) all_0_29_29 = e1 | all_0_29_29 = e0 % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (302), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (303) all_0_29_29 = e1 % 23.38/6.29 | % 23.38/6.29 | Equations (303) can reduce 183 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (183) ~ (all_0_29_29 = e1) % 23.38/6.29 | (306) all_0_29_29 = e0 % 23.38/6.29 | % 23.38/6.29 | Equations (306) can reduce 286 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (532) ~ (all_0_25_25 = e2) % 23.38/6.29 | (533) all_0_26_26 = e2 | all_0_27_27 = e2 % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (533), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (534) all_0_26_26 = e2 % 23.38/6.29 | % 23.38/6.29 | Equations (534) can reduce 538 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (538) ~ (all_0_26_26 = e2) % 23.38/6.29 | (539) all_0_27_27 = e2 % 23.38/6.29 | % 23.38/6.29 | Equations (539) can reduce 310 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (694) all_0_24_24 = e1 % 23.38/6.29 | (543) all_0_26_26 = e3 % 23.38/6.29 | % 23.38/6.29 | Equations (694) can reduce 149 to: % 23.38/6.29 | (3582) ~ (all_0_25_25 = e1) % 23.38/6.29 | % 23.38/6.29 | Simplifying 3582 yields: % 23.38/6.29 | (345) ~ (all_0_25_25 = e1) % 23.38/6.29 | % 23.38/6.29 | Equations (694,543) can reduce 60 to: % 23.38/6.29 | (691) ~ (e3 = e1) % 23.38/6.29 | % 23.38/6.29 | Simplifying 691 yields: % 23.38/6.29 | (74) ~ (e3 = e1) % 23.38/6.29 | % 23.38/6.29 | Equations (694) can reduce 160 to: % 23.38/6.29 | (3584) ~ (all_0_27_27 = e1) % 23.38/6.29 | % 23.38/6.29 | Simplifying 3584 yields: % 23.38/6.29 | (443) ~ (all_0_27_27 = e1) % 23.38/6.29 | % 23.38/6.29 | Equations (694) can reduce 102 to: % 23.38/6.29 | (349) ~ (all_0_32_32 = e1) % 23.38/6.29 | % 23.38/6.29 | Simplifying 349 yields: % 23.38/6.29 | (350) ~ (all_0_32_32 = e1) % 23.38/6.29 | % 23.38/6.29 | Equations (543) can reduce 71 to: % 23.38/6.29 | (223) ~ (all_0_25_25 = e3) % 23.38/6.29 | % 23.38/6.29 | Equations (543) can reduce 18 to: % 23.38/6.29 | (226) ~ (all_0_27_27 = e3) % 23.38/6.29 | % 23.38/6.29 | Simplifying 226 yields: % 23.38/6.29 | (227) ~ (all_0_27_27 = e3) % 23.38/6.29 | % 23.38/6.29 | Equations (543) can reduce 131 to: % 23.38/6.29 | (1986) ~ (all_0_34_34 = e3) % 23.38/6.29 | % 23.38/6.29 | Simplifying 1986 yields: % 23.38/6.29 | (244) ~ (all_0_34_34 = e3) % 23.38/6.29 | % 23.38/6.29 | Equations (543) can reduce 44 to: % 23.38/6.29 | (673) ~ (all_0_38_38 = e3) % 23.38/6.29 | % 23.38/6.29 | Simplifying 673 yields: % 23.38/6.29 | (499) ~ (all_0_38_38 = e3) % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (56), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (321) all_0_26_26 = e0 % 23.38/6.29 | % 23.38/6.29 | Combining equations (321,543) yields a new equation: % 23.38/6.29 | (370) e3 = e0 % 23.38/6.29 | % 23.38/6.29 | Equations (370) can reduce 79 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (541) ~ (all_0_26_26 = e0) % 23.38/6.29 | (542) all_0_30_30 = e0 | all_0_34_34 = e0 | all_0_38_38 = e0 % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (165), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (363) all_0_25_25 = e3 % 23.38/6.29 | % 23.38/6.29 | Equations (363) can reduce 223 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (223) ~ (all_0_25_25 = e3) % 23.38/6.29 | (2809) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0 % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (2809), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (337) all_0_25_25 = e2 % 23.38/6.29 | % 23.38/6.29 | Equations (337) can reduce 130 to: % 23.38/6.29 | (5078) ~ (all_0_27_27 = e2) % 23.38/6.29 | % 23.38/6.29 | Simplifying 5078 yields: % 23.38/6.29 | (310) ~ (all_0_27_27 = e2) % 23.38/6.29 | % 23.38/6.29 | Equations (337) can reduce 47 to: % 23.38/6.29 | (755) ~ (all_0_29_29 = e2) % 23.38/6.29 | % 23.38/6.29 | Simplifying 755 yields: % 23.38/6.29 | (301) ~ (all_0_29_29 = e2) % 23.38/6.29 | % 23.38/6.29 | Equations (337) can reduce 345 to: % 23.38/6.29 | (128) ~ (e2 = e1) % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (96), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (328) all_0_27_27 = e3 % 23.38/6.29 | % 23.38/6.29 | Equations (328) can reduce 227 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (227) ~ (all_0_27_27 = e3) % 23.38/6.29 | (922) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0 % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (542), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (557) all_0_30_30 = e0 % 23.38/6.29 | % 23.38/6.29 | Equations (557) can reduce 159 to: % 23.38/6.29 | (311) ~ (all_0_28_28 = e0) % 23.38/6.29 | % 23.38/6.29 | Equations (557) can reduce 133 to: % 23.38/6.29 | (286) ~ (all_0_29_29 = e0) % 23.38/6.29 | % 23.38/6.29 | Equations (557) can reduce 15 to: % 23.38/6.29 | (1337) ~ (all_0_38_38 = e0) % 23.38/6.29 | % 23.38/6.29 | Simplifying 1337 yields: % 23.38/6.29 | (204) ~ (all_0_38_38 = e0) % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (115), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (1082) all_0_24_24 = e0 % 23.38/6.29 | % 23.38/6.29 | Combining equations (1082,694) yields a new equation: % 23.38/6.29 | (379) e1 = e0 % 23.38/6.29 | % 23.38/6.29 | Equations (379) can reduce 153 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (220) ~ (all_0_24_24 = e0) % 23.38/6.29 | (1111) all_0_28_28 = e0 | all_0_32_32 = e0 | all_0_36_36 = e0 % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (1111), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (763) all_0_28_28 = e0 % 23.38/6.29 | % 23.38/6.29 | Equations (763) can reduce 311 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (311) ~ (all_0_28_28 = e0) % 23.38/6.29 | (1119) all_0_32_32 = e0 | all_0_36_36 = e0 % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (1119), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (391) all_0_32_32 = e0 % 23.38/6.29 | % 23.38/6.29 | Equations (391) can reduce 166 to: % 23.38/6.29 | (1121) ~ (all_0_34_34 = e0) % 23.38/6.29 | % 23.38/6.29 | Simplifying 1121 yields: % 23.38/6.29 | (245) ~ (all_0_34_34 = e0) % 23.38/6.29 | % 23.38/6.29 | Equations (391) can reduce 350 to: % 23.38/6.29 | (209) ~ (e1 = e0) % 23.38/6.29 | % 23.38/6.29 | Simplifying 209 yields: % 23.38/6.29 | (153) ~ (e1 = e0) % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (61), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (489) all_0_38_38 = e3 % 23.38/6.29 | % 23.38/6.29 | Equations (489) can reduce 499 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (499) ~ (all_0_38_38 = e3) % 23.38/6.29 | (575) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0 % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (22), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (342) all_0_25_25 = e1 % 23.38/6.29 | % 23.38/6.29 | Combining equations (337,342) yields a new equation: % 23.38/6.29 | (484) e2 = e1 % 23.38/6.29 | % 23.38/6.29 | Simplifying 484 yields: % 23.38/6.29 | (343) e2 = e1 % 23.38/6.29 | % 23.38/6.29 | Equations (343) can reduce 128 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (345) ~ (all_0_25_25 = e1) % 23.38/6.29 | (346) all_0_29_29 = e1 | all_0_33_33 = e1 | all_0_37_37 = e1 % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (346), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (303) all_0_29_29 = e1 % 23.38/6.29 | % 23.38/6.29 | Equations (303) can reduce 183 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (183) ~ (all_0_29_29 = e1) % 23.38/6.29 | (382) all_0_33_33 = e1 | all_0_37_37 = e1 % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (382), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (383) all_0_33_33 = e1 % 23.38/6.29 | % 23.38/6.29 | Equations (383) can reduce 108 to: % 23.38/6.29 | (183) ~ (all_0_29_29 = e1) % 23.38/6.29 | % 23.38/6.29 | Equations (383) can reduce 20 to: % 23.38/6.29 | (1194) ~ (all_0_34_34 = e1) % 23.38/6.29 | % 23.38/6.29 | Simplifying 1194 yields: % 23.38/6.29 | (619) ~ (all_0_34_34 = e1) % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (922), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (539) all_0_27_27 = e2 % 23.38/6.29 | % 23.38/6.29 | Equations (539) can reduce 310 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (310) ~ (all_0_27_27 = e2) % 23.38/6.29 | (926) all_0_27_27 = e1 | all_0_27_27 = e0 % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (926), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (354) all_0_27_27 = e1 % 23.38/6.29 | % 23.38/6.29 | Equations (354) can reduce 443 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (443) ~ (all_0_27_27 = e1) % 23.38/6.29 | (930) all_0_27_27 = e0 % 23.38/6.29 | % 23.38/6.29 | Equations (930) can reduce 227 to: % 23.38/6.29 | (205) ~ (e3 = e0) % 23.38/6.29 | % 23.38/6.29 | Simplifying 205 yields: % 23.38/6.29 | (79) ~ (e3 = e0) % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (54), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (408) all_0_32_32 = e3 % 23.38/6.29 | % 23.38/6.29 | Combining equations (391,408) yields a new equation: % 23.38/6.29 | (370) e3 = e0 % 23.38/6.29 | % 23.38/6.29 | Equations (370) can reduce 79 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (231) ~ (all_0_32_32 = e3) % 23.38/6.29 | (413) all_0_33_33 = e3 | all_0_34_34 = e3 | all_0_35_35 = e3 % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (413), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (374) all_0_33_33 = e3 % 23.38/6.29 | % 23.38/6.29 | Combining equations (374,383) yields a new equation: % 23.38/6.29 | (492) e3 = e1 % 23.38/6.29 | % 23.38/6.29 | Simplifying 492 yields: % 23.38/6.29 | (387) e3 = e1 % 23.38/6.29 | % 23.38/6.29 | Equations (387) can reduce 74 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (359) ~ (all_0_33_33 = e3) % 23.38/6.29 | (1510) all_0_34_34 = e3 | all_0_35_35 = e3 % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (1510), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (248) all_0_34_34 = e3 % 23.38/6.29 | % 23.38/6.29 | Equations (248) can reduce 244 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (244) ~ (all_0_34_34 = e3) % 23.38/6.29 | (358) all_0_35_35 = e3 % 23.38/6.29 | % 23.38/6.29 | Equations (358) can reduce 49 to: % 23.38/6.29 | (244) ~ (all_0_34_34 = e3) % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (78), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (287) all_0_29_29 = e3 % 23.38/6.29 | % 23.38/6.29 | Equations (287) can reduce 118 to: % 23.38/6.29 | (229) ~ (all_0_28_28 = e3) % 23.38/6.29 | % 23.38/6.29 | Equations (287) can reduce 183 to: % 23.38/6.29 | (74) ~ (e3 = e1) % 23.38/6.29 | % 23.38/6.29 | Equations (287) can reduce 286 to: % 23.38/6.29 | (79) ~ (e3 = e0) % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (142), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (221) all_0_24_24 = e3 % 23.38/6.29 | % 23.38/6.29 | Combining equations (221,694) yields a new equation: % 23.38/6.29 | (492) e3 = e1 % 23.38/6.29 | % 23.38/6.29 | Simplifying 492 yields: % 23.38/6.29 | (387) e3 = e1 % 23.38/6.29 | % 23.38/6.29 | Equations (387) can reduce 74 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (1876) ~ (all_0_24_24 = e3) % 23.38/6.29 | (2125) all_0_28_28 = e3 | all_0_32_32 = e3 | all_0_36_36 = e3 % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (2125), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (654) all_0_28_28 = e3 % 23.38/6.29 | % 23.38/6.29 | Equations (654) can reduce 229 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (229) ~ (all_0_28_28 = e3) % 23.38/6.29 | (2149) all_0_32_32 = e3 | all_0_36_36 = e3 % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (2149), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (408) all_0_32_32 = e3 % 23.38/6.29 | % 23.38/6.29 | Combining equations (391,408) yields a new equation: % 23.38/6.29 | (370) e3 = e0 % 23.38/6.29 | % 23.38/6.29 | Equations (370) can reduce 79 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (231) ~ (all_0_32_32 = e3) % 23.38/6.29 | (454) all_0_36_36 = e3 % 23.38/6.29 | % 23.38/6.29 | Equations (454) can reduce 23 to: % 23.38/6.29 | (673) ~ (all_0_38_38 = e3) % 23.38/6.29 | % 23.38/6.29 | Simplifying 673 yields: % 23.38/6.29 | (499) ~ (all_0_38_38 = e3) % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (164), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (246) ~ (all_0_29_29 = e3) % 23.38/6.29 | % 23.38/6.29 | Equations (287) can reduce 246 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (287) all_0_29_29 = e3 % 23.38/6.29 | (849) all_0_28_28 = e2 % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (135), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (248) all_0_34_34 = e3 % 23.38/6.29 | % 23.38/6.29 | Equations (248) can reduce 244 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (244) ~ (all_0_34_34 = e3) % 23.38/6.29 | (251) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0 % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (251), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (252) all_0_34_34 = e2 % 23.38/6.29 | % 23.38/6.29 | Equations (252) can reduce 105 to: % 23.38/6.29 | (553) ~ (all_0_38_38 = e2) % 23.38/6.29 | % 23.38/6.29 | Simplifying 553 yields: % 23.38/6.29 | (554) ~ (all_0_38_38 = e2) % 23.38/6.29 | % 23.38/6.29 | Equations (252) can reduce 244 to: % 23.38/6.29 | (340) ~ (e3 = e2) % 23.38/6.29 | % 23.38/6.29 | Simplifying 340 yields: % 23.38/6.29 | (62) ~ (e3 = e2) % 23.38/6.29 | % 23.38/6.29 | Equations (252) can reduce 245 to: % 23.38/6.29 | (87) ~ (e2 = e0) % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (575), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (576) all_0_38_38 = e2 % 23.38/6.29 | % 23.38/6.29 | Equations (576) can reduce 554 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (554) ~ (all_0_38_38 = e2) % 23.38/6.29 | (579) all_0_38_38 = e1 | all_0_38_38 = e0 % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (579), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (506) all_0_38_38 = e1 % 23.38/6.29 | % 23.38/6.29 | Equations (506) can reduce 499 to: % 23.38/6.29 | (691) ~ (e3 = e1) % 23.38/6.29 | % 23.38/6.29 | Simplifying 691 yields: % 23.38/6.29 | (74) ~ (e3 = e1) % 23.38/6.29 | % 23.38/6.29 | Equations (506) can reduce 554 to: % 23.38/6.29 | (264) ~ (e2 = e1) % 23.38/6.29 | % 23.38/6.29 | Simplifying 264 yields: % 23.38/6.29 | (128) ~ (e2 = e1) % 23.38/6.29 | % 23.38/6.29 +-Applying beta-rule and splitting (67), into two cases. % 23.38/6.29 |-Branch one: % 23.38/6.29 | (221) all_0_24_24 = e3 % 23.38/6.29 | % 23.38/6.29 | Combining equations (221,694) yields a new equation: % 23.38/6.29 | (492) e3 = e1 % 23.38/6.29 | % 23.38/6.29 | Simplifying 492 yields: % 23.38/6.29 | (387) e3 = e1 % 23.38/6.29 | % 23.38/6.29 | Equations (387) can reduce 74 to: % 23.38/6.29 | (188) $false % 23.38/6.29 | % 23.38/6.29 |-The branch is then unsatisfiable % 23.38/6.29 |-Branch two: % 23.38/6.29 | (1876) ~ (all_0_24_24 = e3) % 23.38/6.29 | (5657) all_0_29_29 = e2 | all_0_34_34 = e1 | all_0_39_39 = e0 % 23.38/6.29 | % 23.38/6.30 +-Applying beta-rule and splitting (5657), into two cases. % 23.38/6.30 |-Branch one: % 23.38/6.30 | (291) all_0_29_29 = e2 % 23.38/6.30 | % 23.38/6.30 | Combining equations (291,287) yields a new equation: % 23.38/6.30 | (333) e3 = e2 % 23.38/6.30 | % 23.38/6.30 | Equations (333) can reduce 62 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (301) ~ (all_0_29_29 = e2) % 23.38/6.30 | (5663) all_0_34_34 = e1 | all_0_39_39 = e0 % 23.38/6.30 | % 23.38/6.30 +-Applying beta-rule and splitting (5663), into two cases. % 23.38/6.30 |-Branch one: % 23.38/6.30 | (256) all_0_34_34 = e1 % 23.38/6.30 | % 23.38/6.30 | Combining equations (252,256) yields a new equation: % 23.38/6.30 | (484) e2 = e1 % 23.38/6.30 | % 23.38/6.30 | Simplifying 484 yields: % 23.38/6.30 | (343) e2 = e1 % 23.38/6.30 | % 23.38/6.30 | Equations (343) can reduce 128 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (619) ~ (all_0_34_34 = e1) % 23.38/6.30 | (198) all_0_39_39 = e0 % 23.38/6.30 | % 23.38/6.30 | Combining equations (198,191) yields a new equation: % 23.38/6.30 | (536) e2 = e0 % 23.38/6.30 | % 23.38/6.30 | Equations (536) can reduce 87 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (263) ~ (all_0_38_38 = e1) % 23.38/6.30 | (583) all_0_38_38 = e0 % 23.38/6.30 | % 23.38/6.30 | Equations (583) can reduce 204 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (247) ~ (all_0_34_34 = e2) % 23.38/6.30 | (255) all_0_34_34 = e1 | all_0_34_34 = e0 % 23.38/6.30 | % 23.38/6.30 +-Applying beta-rule and splitting (255), into two cases. % 23.38/6.30 |-Branch one: % 23.38/6.30 | (256) all_0_34_34 = e1 % 23.38/6.30 | % 23.38/6.30 | Equations (256) can reduce 619 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (619) ~ (all_0_34_34 = e1) % 23.38/6.30 | (620) all_0_34_34 = e0 % 23.38/6.30 | % 23.38/6.30 | Equations (620) can reduce 245 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (246) ~ (all_0_29_29 = e3) % 23.38/6.30 | (290) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0 % 23.38/6.30 | % 23.38/6.30 +-Applying beta-rule and splitting (290), into two cases. % 23.38/6.30 |-Branch one: % 23.38/6.30 | (291) all_0_29_29 = e2 % 23.38/6.30 | % 23.38/6.30 | Equations (291) can reduce 301 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (301) ~ (all_0_29_29 = e2) % 23.38/6.30 | (302) all_0_29_29 = e1 | all_0_29_29 = e0 % 23.38/6.30 | % 23.38/6.30 +-Applying beta-rule and splitting (302), into two cases. % 23.38/6.30 |-Branch one: % 23.38/6.30 | (303) all_0_29_29 = e1 % 23.38/6.30 | % 23.38/6.30 | Equations (303) can reduce 183 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (183) ~ (all_0_29_29 = e1) % 23.38/6.30 | (306) all_0_29_29 = e0 % 23.38/6.30 | % 23.38/6.30 | Equations (306) can reduce 286 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (259) ~ (all_0_33_33 = e1) % 23.38/6.30 | (386) all_0_37_37 = e1 % 23.38/6.30 | % 23.38/6.30 | Combining equations (886,386) yields a new equation: % 23.38/6.30 | (379) e1 = e0 % 23.38/6.30 | % 23.38/6.30 | Equations (379) can reduce 153 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (403) ~ (all_0_32_32 = e0) % 23.38/6.30 | (1232) all_0_36_36 = e0 % 23.38/6.30 | % 23.38/6.30 | Equations (1232) can reduce 202 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (313) ~ (all_0_30_30 = e0) % 23.38/6.30 | (560) all_0_34_34 = e0 | all_0_38_38 = e0 % 23.38/6.30 | % 23.38/6.30 +-Applying beta-rule and splitting (560), into two cases. % 23.38/6.30 |-Branch one: % 23.38/6.30 | (620) all_0_34_34 = e0 % 23.38/6.30 | % 23.38/6.30 | Equations (620) can reduce 245 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (245) ~ (all_0_34_34 = e0) % 23.38/6.30 | (583) all_0_38_38 = e0 % 23.38/6.30 | % 23.38/6.30 | Equations (583) can reduce 204 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (532) ~ (all_0_25_25 = e2) % 23.38/6.30 | (2944) all_0_25_25 = e1 | all_0_25_25 = e0 % 23.38/6.30 | % 23.38/6.30 +-Applying beta-rule and splitting (2944), into two cases. % 23.38/6.30 |-Branch one: % 23.38/6.30 | (342) all_0_25_25 = e1 % 23.38/6.30 | % 23.38/6.30 | Equations (342) can reduce 345 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (345) ~ (all_0_25_25 = e1) % 23.38/6.30 | (758) all_0_25_25 = e0 % 23.38/6.30 | % 23.38/6.30 | Equations (758) can reduce 726 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (620) all_0_34_34 = e0 % 23.38/6.30 | (398) all_0_35_35 = e1 % 23.38/6.30 | % 23.38/6.30 | Equations (620) can reduce 131 to: % 23.38/6.30 | (541) ~ (all_0_26_26 = e0) % 23.38/6.30 | % 23.38/6.30 | Equations (398) can reduce 106 to: % 23.38/6.30 | (259) ~ (all_0_33_33 = e1) % 23.38/6.30 | % 23.38/6.30 | Equations (620,398) can reduce 49 to: % 23.38/6.30 | (209) ~ (e1 = e0) % 23.38/6.30 | % 23.38/6.30 | Simplifying 209 yields: % 23.38/6.30 | (153) ~ (e1 = e0) % 23.38/6.30 | % 23.38/6.30 | Equations (398) can reduce 319 to: % 23.38/6.30 | (264) ~ (e2 = e1) % 23.38/6.30 | % 23.38/6.30 | Simplifying 264 yields: % 23.38/6.30 | (128) ~ (e2 = e1) % 23.38/6.30 | % 23.38/6.30 | From (620)(620) and (28) follows: % 23.38/6.30 | (4363) op(e0, e0) = all_0_3_3 % 23.38/6.30 | % 23.38/6.30 +-Applying beta-rule and splitting (22), into two cases. % 23.38/6.30 |-Branch one: % 23.38/6.30 | (342) all_0_25_25 = e1 % 23.38/6.30 | % 23.38/6.30 | Equations (342) can reduce 47 to: % 23.38/6.30 | (701) ~ (all_0_29_29 = e1) % 23.38/6.30 | % 23.38/6.30 | Simplifying 701 yields: % 23.38/6.30 | (183) ~ (all_0_29_29 = e1) % 23.38/6.30 | % 23.38/6.30 | Equations (342) can reduce 726 to: % 23.38/6.30 | (153) ~ (e1 = e0) % 23.38/6.30 | % 23.38/6.30 +-Applying beta-rule and splitting (158), into two cases. % 23.38/6.30 |-Branch one: % 23.38/6.30 | (332) all_0_24_24 = e2 % 23.38/6.30 | % 23.38/6.30 | Equations (332) can reduce 219 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (219) ~ (all_0_24_24 = e2) % 23.38/6.30 | (336) all_0_25_25 = e2 | all_0_26_26 = e2 | all_0_27_27 = e2 % 23.38/6.30 | % 23.38/6.30 +-Applying beta-rule and splitting (336), into two cases. % 23.38/6.30 |-Branch one: % 23.38/6.30 | (337) all_0_25_25 = e2 % 23.38/6.30 | % 23.38/6.30 | Combining equations (342,337) yields a new equation: % 23.38/6.30 | (343) e2 = e1 % 23.38/6.30 | % 23.38/6.30 | Equations (343) can reduce 128 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (532) ~ (all_0_25_25 = e2) % 23.38/6.30 | (533) all_0_26_26 = e2 | all_0_27_27 = e2 % 23.38/6.30 | % 23.38/6.30 +-Applying beta-rule and splitting (533), into two cases. % 23.38/6.30 |-Branch one: % 23.38/6.30 | (534) all_0_26_26 = e2 % 23.38/6.30 | % 23.38/6.30 | Equations (534) can reduce 541 to: % 23.38/6.30 | (87) ~ (e2 = e0) % 23.38/6.30 | % 23.38/6.30 | From (534) and (84) follows: % 23.38/6.30 | (2317) op(e1, e2) = all_0_10_10 % 23.38/6.30 | % 23.38/6.30 | Instantiating formula (58) with e1, e2, all_0_10_10, all_0_33_33 and discharging atoms op(e1, e2) = all_0_10_10, op(e1, e2) = all_0_33_33, yields: % 23.38/6.30 | (2319) all_0_10_10 = all_0_33_33 % 23.38/6.30 | % 23.38/6.30 | Instantiating formula (58) with e0, e0, all_0_3_3, e2 and discharging atoms op(e0, e0) = all_0_3_3, op(e0, e0) = e2, yields: % 23.38/6.30 | (3295) all_0_3_3 = e2 % 23.38/6.30 | % 23.38/6.30 | From (3295) and (24) follows: % 23.38/6.30 | (3297) op(e1, e2) = all_0_2_2 % 23.38/6.30 | % 23.38/6.30 | From (2319) and (2317) follows: % 23.38/6.30 | (3) op(e1, e2) = all_0_33_33 % 23.38/6.30 | % 23.38/6.30 +-Applying beta-rule and splitting (110), into two cases. % 23.38/6.30 |-Branch one: % 23.38/6.30 | (779) ~ (all_0_2_2 = e3) % 23.38/6.30 | % 23.38/6.30 | Instantiating formula (58) with e1, e2, all_0_2_2, all_0_33_33 and discharging atoms op(e1, e2) = all_0_2_2, op(e1, e2) = all_0_33_33, yields: % 23.38/6.30 | (7023) all_0_2_2 = all_0_33_33 % 23.38/6.30 | % 23.38/6.30 | Equations (7023) can reduce 779 to: % 23.38/6.30 | (359) ~ (all_0_33_33 = e3) % 23.38/6.30 | % 23.38/6.30 +-Applying beta-rule and splitting (54), into two cases. % 23.38/6.30 |-Branch one: % 23.38/6.30 | (408) all_0_32_32 = e3 % 23.38/6.30 | % 23.38/6.30 | Equations (408) can reduce 102 to: % 23.38/6.30 | (1876) ~ (all_0_24_24 = e3) % 23.38/6.30 | % 23.38/6.30 +-Applying beta-rule and splitting (67), into two cases. % 23.38/6.30 |-Branch one: % 23.38/6.30 | (221) all_0_24_24 = e3 % 23.38/6.30 | % 23.38/6.30 | Equations (221) can reduce 1876 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (1876) ~ (all_0_24_24 = e3) % 23.38/6.30 | (5657) all_0_29_29 = e2 | all_0_34_34 = e1 | all_0_39_39 = e0 % 23.38/6.30 | % 23.38/6.30 +-Applying beta-rule and splitting (5657), into two cases. % 23.38/6.30 |-Branch one: % 23.38/6.30 | (291) all_0_29_29 = e2 % 23.38/6.30 | % 23.38/6.30 | Equations (291) can reduce 108 to: % 23.38/6.30 | (2551) ~ (all_0_33_33 = e2) % 23.38/6.30 | % 23.38/6.30 | Simplifying 2551 yields: % 23.38/6.30 | (813) ~ (all_0_33_33 = e2) % 23.38/6.30 | % 23.38/6.30 | Equations (291) can reduce 183 to: % 23.38/6.30 | (128) ~ (e2 = e1) % 23.38/6.30 | % 23.38/6.30 | Equations (291) can reduce 286 to: % 23.38/6.30 | (87) ~ (e2 = e0) % 23.38/6.30 | % 23.38/6.30 +-Applying beta-rule and splitting (14), into two cases. % 23.38/6.30 |-Branch one: % 23.38/6.30 | (405) all_0_32_32 = e2 % 23.38/6.30 | % 23.38/6.30 | Combining equations (408,405) yields a new equation: % 23.38/6.30 | (364) e3 = e2 % 23.38/6.30 | % 23.38/6.30 | Simplifying 364 yields: % 23.38/6.30 | (333) e3 = e2 % 23.38/6.30 | % 23.38/6.30 | Equations (333) can reduce 62 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (428) ~ (all_0_32_32 = e2) % 23.38/6.30 | (429) all_0_33_33 = e2 | all_0_34_34 = e2 | all_0_35_35 = e2 % 23.38/6.30 | % 23.38/6.30 +-Applying beta-rule and splitting (429), into two cases. % 23.38/6.30 |-Branch one: % 23.38/6.30 | (810) all_0_33_33 = e2 % 23.38/6.30 | % 23.38/6.30 | Equations (810) can reduce 813 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (813) ~ (all_0_33_33 = e2) % 23.38/6.30 | (1658) all_0_34_34 = e2 | all_0_35_35 = e2 % 23.38/6.30 | % 23.38/6.30 +-Applying beta-rule and splitting (1658), into two cases. % 23.38/6.30 |-Branch one: % 23.38/6.30 | (252) all_0_34_34 = e2 % 23.38/6.30 | % 23.38/6.30 | Combining equations (620,252) yields a new equation: % 23.38/6.30 | (536) e2 = e0 % 23.38/6.30 | % 23.38/6.30 | Equations (536) can reduce 87 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (247) ~ (all_0_34_34 = e2) % 23.38/6.30 | (394) all_0_35_35 = e2 % 23.38/6.30 | % 23.38/6.30 | Combining equations (394,398) yields a new equation: % 23.38/6.30 | (484) e2 = e1 % 23.38/6.30 | % 23.38/6.30 | Simplifying 484 yields: % 23.38/6.30 | (343) e2 = e1 % 23.38/6.30 | % 23.38/6.30 | Equations (343) can reduce 128 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (301) ~ (all_0_29_29 = e2) % 23.38/6.30 | (5663) all_0_34_34 = e1 | all_0_39_39 = e0 % 23.38/6.30 | % 23.38/6.30 +-Applying beta-rule and splitting (5663), into two cases. % 23.38/6.30 |-Branch one: % 23.38/6.30 | (256) all_0_34_34 = e1 % 23.38/6.30 | % 23.38/6.30 | Combining equations (620,256) yields a new equation: % 23.38/6.30 | (379) e1 = e0 % 23.38/6.30 | % 23.38/6.30 | Equations (379) can reduce 153 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (619) ~ (all_0_34_34 = e1) % 23.38/6.30 | (198) all_0_39_39 = e0 % 23.38/6.30 | % 23.38/6.30 | Combining equations (198,191) yields a new equation: % 23.38/6.30 | (536) e2 = e0 % 23.38/6.30 | % 23.38/6.30 | Equations (536) can reduce 87 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (231) ~ (all_0_32_32 = e3) % 23.38/6.30 | (413) all_0_33_33 = e3 | all_0_34_34 = e3 | all_0_35_35 = e3 % 23.38/6.30 | % 23.38/6.30 +-Applying beta-rule and splitting (413), into two cases. % 23.38/6.30 |-Branch one: % 23.38/6.30 | (374) all_0_33_33 = e3 % 23.38/6.30 | % 23.38/6.30 | Equations (374) can reduce 359 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (359) ~ (all_0_33_33 = e3) % 23.38/6.30 | (1510) all_0_34_34 = e3 | all_0_35_35 = e3 % 23.38/6.30 | % 23.38/6.30 +-Applying beta-rule and splitting (1510), into two cases. % 23.38/6.30 |-Branch one: % 23.38/6.30 | (248) all_0_34_34 = e3 % 23.38/6.30 | % 23.38/6.30 | Combining equations (620,248) yields a new equation: % 23.38/6.30 | (370) e3 = e0 % 23.38/6.30 | % 23.38/6.30 | Equations (370) can reduce 79 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (244) ~ (all_0_34_34 = e3) % 23.38/6.30 | (358) all_0_35_35 = e3 % 23.38/6.30 | % 23.38/6.30 | Combining equations (358,398) yields a new equation: % 23.38/6.30 | (492) e3 = e1 % 23.38/6.30 | % 23.38/6.30 | Simplifying 492 yields: % 23.38/6.30 | (387) e3 = e1 % 23.38/6.30 | % 23.38/6.30 | Equations (387) can reduce 74 to: % 23.38/6.30 | (188) $false % 23.38/6.30 | % 23.38/6.30 |-The branch is then unsatisfiable % 23.38/6.30 |-Branch two: % 23.38/6.30 | (780) all_0_2_2 = e3 % 23.38/6.30 | (7078) ~ (all_0_3_3 = e2) | ~ (all_0_34_34 = e0) % 23.38/6.30 | % 23.38/6.30 +-Applying beta-rule and splitting (7078), into two cases. % 23.38/6.30 |-Branch one: % 23.38/6.31 | (3304) ~ (all_0_3_3 = e2) % 23.38/6.31 | % 23.38/6.31 | Equations (3295) can reduce 3304 to: % 23.38/6.31 | (188) $false % 23.38/6.31 | % 23.38/6.31 |-The branch is then unsatisfiable % 23.38/6.31 |-Branch two: % 23.38/6.31 | (3295) all_0_3_3 = e2 % 23.38/6.31 | (245) ~ (all_0_34_34 = e0) % 23.38/6.31 | % 23.38/6.31 | Equations (620) can reduce 245 to: % 23.38/6.31 | (188) $false % 23.38/6.31 | % 23.38/6.31 |-The branch is then unsatisfiable % 23.38/6.31 |-Branch two: % 23.38/6.31 | (538) ~ (all_0_26_26 = e2) % 23.38/6.31 | (539) all_0_27_27 = e2 % 23.38/6.31 | % 23.38/6.31 | Equations (539) can reduce 310 to: % 23.38/6.31 | (188) $false % 23.38/6.31 | % 23.38/6.31 |-The branch is then unsatisfiable % 23.38/6.31 |-Branch two: % 23.38/6.31 | (345) ~ (all_0_25_25 = e1) % 23.38/6.31 | (346) all_0_29_29 = e1 | all_0_33_33 = e1 | all_0_37_37 = e1 % 23.38/6.31 | % 23.38/6.31 +-Applying beta-rule and splitting (346), into two cases. % 23.38/6.31 |-Branch one: % 23.38/6.31 | (303) all_0_29_29 = e1 % 23.38/6.31 | % 23.38/6.31 | Equations (303) can reduce 183 to: % 23.38/6.31 | (188) $false % 23.38/6.31 | % 23.38/6.31 |-The branch is then unsatisfiable % 23.38/6.31 |-Branch two: % 23.38/6.31 | (183) ~ (all_0_29_29 = e1) % 23.38/6.31 | (382) all_0_33_33 = e1 | all_0_37_37 = e1 % 23.38/6.31 | % 23.38/6.31 +-Applying beta-rule and splitting (382), into two cases. % 23.38/6.31 |-Branch one: % 23.38/6.31 | (383) all_0_33_33 = e1 % 23.38/6.31 | % 23.38/6.31 | Equations (383) can reduce 259 to: % 23.38/6.31 | (188) $false % 23.38/6.31 | % 23.38/6.31 |-The branch is then unsatisfiable % 23.38/6.31 |-Branch two: % 23.38/6.31 | (259) ~ (all_0_33_33 = e1) % 23.38/6.31 | (386) all_0_37_37 = e1 % 23.38/6.31 | % 23.38/6.31 | Combining equations (886,386) yields a new equation: % 23.38/6.31 | (379) e1 = e0 % 23.38/6.31 | % 23.38/6.31 | Equations (379) can reduce 153 to: % 23.38/6.31 | (188) $false % 23.38/6.31 | % 23.38/6.31 |-The branch is then unsatisfiable % 23.38/6.31 |-Branch two: % 23.38/6.31 | (332) all_0_24_24 = e2 % 23.38/6.31 | (363) all_0_25_25 = e3 % 23.38/6.31 | % 23.38/6.31 | Equations (332,363) can reduce 149 to: % 23.38/6.31 | (340) ~ (e3 = e2) % 23.38/6.31 | % 23.38/6.31 | Simplifying 340 yields: % 23.38/6.31 | (62) ~ (e3 = e2) % 23.38/6.31 | % 23.38/6.31 | Equations (332) can reduce 160 to: % 23.38/6.31 | (5078) ~ (all_0_27_27 = e2) % 23.38/6.31 | % 23.38/6.31 | Simplifying 5078 yields: % 23.38/6.31 | (310) ~ (all_0_27_27 = e2) % 23.38/6.31 | % 23.38/6.31 | Equations (332) can reduce 68 to: % 23.38/6.31 | (1049) ~ (all_0_36_36 = e2) % 23.38/6.31 | % 23.38/6.31 | Simplifying 1049 yields: % 23.38/6.31 | (828) ~ (all_0_36_36 = e2) % 23.38/6.31 | % 23.38/6.31 | Equations (363) can reduce 71 to: % 23.38/6.31 | (224) ~ (all_0_26_26 = e3) % 23.38/6.31 | % 23.38/6.31 | Simplifying 224 yields: % 23.38/6.31 | (225) ~ (all_0_26_26 = e3) % 23.38/6.31 | % 23.38/6.31 | Equations (363) can reduce 130 to: % 23.38/6.31 | (226) ~ (all_0_27_27 = e3) % 23.38/6.31 | % 23.38/6.31 | Simplifying 226 yields: % 23.38/6.31 | (227) ~ (all_0_27_27 = e3) % 23.38/6.31 | % 23.38/6.31 | Equations (363) can reduce 114 to: % 23.38/6.31 | (2343) ~ (all_0_33_33 = e3) % 23.38/6.31 | % 23.38/6.31 | Simplifying 2343 yields: % 23.38/6.31 | (359) ~ (all_0_33_33 = e3) % 23.38/6.31 | % 23.38/6.31 | Equations (363) can reduce 726 to: % 23.38/6.31 | (79) ~ (e3 = e0) % 23.38/6.31 | % 23.38/6.31 | From (332)(332) and (143) follows: % 23.38/6.31 | (2995) op(e2, e2) = all_0_7_7 % 23.38/6.31 | % 23.38/6.31 | From (363) and (112) follows: % 23.38/6.31 | (7115) op(e2, e3) = all_0_9_9 % 23.38/6.31 | % 23.38/6.31 +-Applying beta-rule and splitting (22), into two cases. % 23.38/6.31 |-Branch one: % 23.38/6.31 | (342) all_0_25_25 = e1 % 23.38/6.31 | % 23.38/6.31 | Combining equations (342,363) yields a new equation: % 23.38/6.31 | (387) e3 = e1 % 23.38/6.31 | % 23.38/6.31 | Equations (387) can reduce 74 to: % 23.38/6.31 | (188) $false % 23.38/6.31 | % 23.38/6.31 |-The branch is then unsatisfiable % 23.38/6.31 |-Branch two: % 23.38/6.31 | (345) ~ (all_0_25_25 = e1) % 23.38/6.31 | (346) all_0_29_29 = e1 | all_0_33_33 = e1 | all_0_37_37 = e1 % 23.38/6.31 | % 23.38/6.31 +-Applying beta-rule and splitting (346), into two cases. % 23.38/6.31 |-Branch one: % 23.38/6.31 | (303) all_0_29_29 = e1 % 23.38/6.31 | % 23.38/6.31 | Equations (303) can reduce 183 to: % 23.38/6.31 | (188) $false % 23.38/6.31 | % 23.38/6.31 |-The branch is then unsatisfiable % 23.38/6.31 |-Branch two: % 23.38/6.31 | (183) ~ (all_0_29_29 = e1) % 23.38/6.31 | (382) all_0_33_33 = e1 | all_0_37_37 = e1 % 23.38/6.31 | % 23.38/6.31 +-Applying beta-rule and splitting (382), into two cases. % 23.38/6.31 |-Branch one: % 23.38/6.31 | (383) all_0_33_33 = e1 % 23.38/6.31 | % 23.38/6.31 | Equations (383) can reduce 2 to: % 23.38/6.31 | (350) ~ (all_0_32_32 = e1) % 23.38/6.31 | % 23.38/6.31 | Equations (383) can reduce 20 to: % 23.38/6.31 | (1194) ~ (all_0_34_34 = e1) % 23.38/6.31 | % 23.38/6.31 | Simplifying 1194 yields: % 23.38/6.31 | (619) ~ (all_0_34_34 = e1) % 23.38/6.31 | % 23.38/6.31 | Equations (383) can reduce 106 to: % 23.38/6.31 | (260) ~ (all_0_35_35 = e1) % 23.38/6.31 | % 23.38/6.31 | Simplifying 260 yields: % 23.38/6.31 | (261) ~ (all_0_35_35 = e1) % 23.38/6.31 | % 23.38/6.31 | Equations (383) can reduce 359 to: % 23.38/6.31 | (691) ~ (e3 = e1) % 23.38/6.31 | % 23.38/6.31 | Simplifying 691 yields: % 23.38/6.31 | (74) ~ (e3 = e1) % 23.38/6.31 | % 23.38/6.31 | Equations (383) can reduce 885 to: % 23.38/6.31 | (153) ~ (e1 = e0) % 23.38/6.31 | % 23.38/6.31 | From (383) and (157) follows: % 23.38/6.31 | (7134) op(e2, e1) = all_0_17_17 % 23.38/6.31 | % 23.38/6.31 | From (383) and (3) follows: % 23.38/6.31 | (7135) op(e1, e2) = e1 % 23.38/6.31 | % 23.38/6.31 +-Applying beta-rule and splitting (67), into two cases. % 23.38/6.31 |-Branch one: % 23.38/6.31 | (221) all_0_24_24 = e3 % 23.38/6.31 | % 23.38/6.31 | Combining equations (332,221) yields a new equation: % 23.38/6.31 | (333) e3 = e2 % 23.38/6.31 | % 23.38/6.31 | Equations (333) can reduce 62 to: % 23.38/6.31 | (188) $false % 23.38/6.31 | % 23.38/6.31 |-The branch is then unsatisfiable % 23.38/6.31 |-Branch two: % 23.38/6.31 | (1876) ~ (all_0_24_24 = e3) % 23.78/6.31 | (5657) all_0_29_29 = e2 | all_0_34_34 = e1 | all_0_39_39 = e0 % 23.78/6.31 | % 23.78/6.31 +-Applying beta-rule and splitting (5657), into two cases. % 23.78/6.31 |-Branch one: % 23.78/6.31 | (291) all_0_29_29 = e2 % 23.78/6.31 | % 23.78/6.31 | Equations (291) can reduce 118 to: % 23.78/6.31 | (852) ~ (all_0_28_28 = e2) % 23.78/6.31 | % 23.78/6.31 | Equations (291) can reduce 53 to: % 23.78/6.31 | (1045) ~ (all_0_31_31 = e2) % 23.78/6.31 | % 23.78/6.31 | Simplifying 1045 yields: % 23.78/6.31 | (817) ~ (all_0_31_31 = e2) % 23.78/6.31 | % 23.78/6.31 | From (291)(291) and (45) follows: % 23.78/6.31 | (293) op(e2, e2) = all_0_5_5 % 23.78/6.31 | % 23.78/6.31 | From (291) and (50) follows: % 23.78/6.31 | (294) op(e2, e2) = all_0_13_13 % 23.78/6.31 | % 23.78/6.31 | From (291) and (178) follows: % 23.78/6.31 | (295) op(e2, e2) = e2 % 23.78/6.31 | % 23.78/6.31 +-Applying beta-rule and splitting (154), into two cases. % 23.78/6.31 |-Branch one: % 23.78/6.31 | (244) ~ (all_0_34_34 = e3) % 23.78/6.31 | % 23.78/6.31 +-Applying beta-rule and splitting (146), into two cases. % 23.78/6.31 |-Branch one: % 23.78/6.31 | (245) ~ (all_0_34_34 = e0) % 23.78/6.31 | % 23.78/6.31 +-Applying beta-rule and splitting (135), into two cases. % 23.78/6.31 |-Branch one: % 23.78/6.31 | (248) all_0_34_34 = e3 % 23.78/6.31 | % 23.78/6.31 | Equations (248) can reduce 244 to: % 23.78/6.31 | (188) $false % 23.78/6.31 | % 23.78/6.31 |-The branch is then unsatisfiable % 23.78/6.31 |-Branch two: % 23.78/6.31 | (244) ~ (all_0_34_34 = e3) % 23.78/6.31 | (251) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0 % 23.78/6.31 | % 23.78/6.31 +-Applying beta-rule and splitting (251), into two cases. % 23.78/6.31 |-Branch one: % 23.78/6.31 | (252) all_0_34_34 = e2 % 23.78/6.31 | % 23.78/6.31 | Equations (252) can reduce 131 to: % 23.78/6.31 | (538) ~ (all_0_26_26 = e2) % 23.78/6.31 | % 23.78/6.31 | Equations (252) can reduce 166 to: % 23.78/6.31 | (428) ~ (all_0_32_32 = e2) % 23.78/6.31 | % 23.78/6.31 | Equations (252) can reduce 49 to: % 23.78/6.31 | (318) ~ (all_0_35_35 = e2) % 23.78/6.31 | % 23.78/6.31 | Simplifying 318 yields: % 23.78/6.31 | (319) ~ (all_0_35_35 = e2) % 23.78/6.31 | % 23.78/6.31 | Equations (252) can reduce 105 to: % 23.78/6.31 | (553) ~ (all_0_38_38 = e2) % 23.78/6.31 | % 23.78/6.31 | Simplifying 553 yields: % 23.78/6.31 | (554) ~ (all_0_38_38 = e2) % 23.78/6.31 | % 23.78/6.31 | Equations (252) can reduce 244 to: % 23.78/6.31 | (340) ~ (e3 = e2) % 23.78/6.31 | % 23.78/6.31 | Simplifying 340 yields: % 23.78/6.31 | (62) ~ (e3 = e2) % 23.78/6.31 | % 23.78/6.31 | Equations (252) can reduce 619 to: % 23.78/6.31 | (128) ~ (e2 = e1) % 23.78/6.31 | % 23.78/6.31 | Equations (252) can reduce 245 to: % 23.78/6.31 | (87) ~ (e2 = e0) % 23.78/6.31 | % 23.78/6.31 | From (252)(252) and (28) follows: % 23.78/6.31 | (635) op(e2, e2) = all_0_3_3 % 23.78/6.31 | % 23.78/6.31 | From (252) and (144) follows: % 23.78/6.31 | (7166) op(e1, e2) = all_0_18_18 % 23.78/6.31 | % 23.78/6.31 | Instantiating formula (58) with e2, e3, all_0_9_9, all_0_28_28 and discharging atoms op(e2, e3) = all_0_9_9, op(e2, e3) = all_0_28_28, yields: % 23.78/6.31 | (7167) all_0_9_9 = all_0_28_28 % 23.78/6.31 | % 23.78/6.31 | Instantiating formula (58) with e2, e2, all_0_5_5, all_0_3_3 and discharging atoms op(e2, e2) = all_0_3_3, op(e2, e2) = all_0_5_5, yields: % 23.78/6.31 | (7168) all_0_3_3 = all_0_5_5 % 23.78/6.31 | % 23.78/6.31 | Instantiating formula (58) with e2, e2, all_0_7_7, all_0_5_5 and discharging atoms op(e2, e2) = all_0_5_5, op(e2, e2) = all_0_7_7, yields: % 23.78/6.31 | (7169) all_0_5_5 = all_0_7_7 % 23.78/6.31 | % 23.78/6.31 | Instantiating formula (58) with e2, e2, all_0_13_13, all_0_3_3 and discharging atoms op(e2, e2) = all_0_3_3, op(e2, e2) = all_0_13_13, yields: % 23.78/6.31 | (7170) all_0_3_3 = all_0_13_13 % 23.78/6.31 | % 23.78/6.31 | Instantiating formula (58) with e2, e2, e2, all_0_5_5 and discharging atoms op(e2, e2) = all_0_5_5, op(e2, e2) = e2, yields: % 23.78/6.31 | (297) all_0_5_5 = e2 % 23.78/6.31 | % 23.78/6.31 | Instantiating formula (58) with e2, e1, all_0_17_17, all_0_30_30 and discharging atoms op(e2, e1) = all_0_17_17, op(e2, e1) = all_0_30_30, yields: % 23.78/6.31 | (7172) all_0_17_17 = all_0_30_30 % 23.78/6.31 | % 23.78/6.31 | Instantiating formula (58) with e1, e2, e1, all_0_18_18 and discharging atoms op(e1, e2) = all_0_18_18, op(e1, e2) = e1, yields: % 23.78/6.31 | (272) all_0_18_18 = e1 % 23.78/6.31 | % 23.78/6.31 | Combining equations (7168,7170) yields a new equation: % 23.78/6.31 | (7174) all_0_5_5 = all_0_13_13 % 23.78/6.31 | % 23.78/6.31 | Simplifying 7174 yields: % 23.78/6.31 | (296) all_0_5_5 = all_0_13_13 % 23.78/6.31 | % 23.78/6.31 | Combining equations (296,7169) yields a new equation: % 23.78/6.31 | (7176) all_0_7_7 = all_0_13_13 % 23.78/6.31 | % 23.78/6.31 | Combining equations (297,7169) yields a new equation: % 23.78/6.31 | (3905) all_0_7_7 = e2 % 23.78/6.31 | % 23.78/6.31 | Combining equations (3905,7176) yields a new equation: % 23.78/6.31 | (299) all_0_13_13 = e2 % 23.78/6.31 | % 23.78/6.31 +-Applying beta-rule and splitting (134), into two cases. % 23.78/6.31 |-Branch one: % 23.78/6.31 | (354) all_0_27_27 = e1 % 23.78/6.31 | % 23.78/6.31 | Equations (354) can reduce 18 to: % 23.78/6.31 | (257) ~ (all_0_26_26 = e1) % 23.78/6.31 | % 23.78/6.31 | Equations (354) can reduce 119 to: % 23.78/6.31 | (722) ~ (all_0_31_31 = e1) % 23.78/6.31 | % 23.78/6.31 | Simplifying 722 yields: % 23.78/6.31 | (487) ~ (all_0_31_31 = e1) % 23.78/6.31 | % 23.78/6.31 | Equations (354) can reduce 7 to: % 23.78/6.31 | (260) ~ (all_0_35_35 = e1) % 23.78/6.31 | % 23.78/6.31 | Simplifying 260 yields: % 23.78/6.31 | (261) ~ (all_0_35_35 = e1) % 23.78/6.31 | % 23.78/6.31 | Equations (354) can reduce 227 to: % 23.78/6.31 | (691) ~ (e3 = e1) % 23.78/6.31 | % 23.78/6.31 | Simplifying 691 yields: % 23.78/6.31 | (74) ~ (e3 = e1) % 23.78/6.31 | % 23.78/6.31 | Equations (354) can reduce 310 to: % 23.78/6.31 | (264) ~ (e2 = e1) % 23.78/6.31 | % 23.78/6.31 | Simplifying 264 yields: % 23.78/6.31 | (128) ~ (e2 = e1) % 23.78/6.31 | % 23.78/6.31 | From (354) and (57) follows: % 23.78/6.31 | (3040) op(e3, e0) = e1 % 23.78/6.32 | % 23.78/6.32 | From (354) and (136) follows: % 23.78/6.32 | (7190) op(e0, e1) = all_0_11_11 % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (66), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (1082) all_0_24_24 = e0 % 23.78/6.32 | % 23.78/6.32 | Combining equations (332,1082) yields a new equation: % 23.78/6.32 | (535) e2 = e0 % 23.78/6.32 | % 23.78/6.32 | Simplifying 535 yields: % 23.78/6.32 | (536) e2 = e0 % 23.78/6.32 | % 23.78/6.32 | Equations (536) can reduce 87 to: % 23.78/6.32 | (188) $false % 23.78/6.32 | % 23.78/6.32 |-The branch is then unsatisfiable % 23.78/6.32 |-Branch two: % 23.78/6.32 | (220) ~ (all_0_24_24 = e0) % 23.78/6.32 | (1087) all_0_25_25 = e0 | all_0_26_26 = e0 | all_0_27_27 = e0 % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (70), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (543) all_0_26_26 = e3 % 23.78/6.32 | % 23.78/6.32 | Equations (543) can reduce 225 to: % 23.78/6.32 | (188) $false % 23.78/6.32 | % 23.78/6.32 |-The branch is then unsatisfiable % 23.78/6.32 |-Branch two: % 23.78/6.32 | (225) ~ (all_0_26_26 = e3) % 23.78/6.32 | (546) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0 % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (546), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (534) all_0_26_26 = e2 % 23.78/6.32 | % 23.78/6.32 | Equations (534) can reduce 538 to: % 23.78/6.32 | (188) $false % 23.78/6.32 | % 23.78/6.32 |-The branch is then unsatisfiable % 23.78/6.32 |-Branch two: % 23.78/6.32 | (538) ~ (all_0_26_26 = e2) % 23.78/6.32 | (586) all_0_26_26 = e1 | all_0_26_26 = e0 % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (1087), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (758) all_0_25_25 = e0 % 23.78/6.32 | % 23.78/6.32 | Combining equations (363,758) yields a new equation: % 23.78/6.32 | (425) e3 = e0 % 23.78/6.32 | % 23.78/6.32 | Simplifying 425 yields: % 23.78/6.32 | (370) e3 = e0 % 23.78/6.32 | % 23.78/6.32 | Equations (370) can reduce 79 to: % 23.78/6.32 | (188) $false % 23.78/6.32 | % 23.78/6.32 |-The branch is then unsatisfiable % 23.78/6.32 |-Branch two: % 23.78/6.32 | (726) ~ (all_0_25_25 = e0) % 23.78/6.32 | (1317) all_0_26_26 = e0 | all_0_27_27 = e0 % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (1317), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (321) all_0_26_26 = e0 % 23.78/6.32 | % 23.78/6.32 | Equations (321) can reduce 44 to: % 23.78/6.32 | (1337) ~ (all_0_38_38 = e0) % 23.78/6.32 | % 23.78/6.32 | Simplifying 1337 yields: % 23.78/6.32 | (204) ~ (all_0_38_38 = e0) % 23.78/6.32 | % 23.78/6.32 | Equations (321) can reduce 225 to: % 23.78/6.32 | (205) ~ (e3 = e0) % 23.78/6.32 | % 23.78/6.32 | Simplifying 205 yields: % 23.78/6.32 | (79) ~ (e3 = e0) % 23.78/6.32 | % 23.78/6.32 | Equations (321) can reduce 538 to: % 23.78/6.32 | (207) ~ (e2 = e0) % 23.78/6.32 | % 23.78/6.32 | Simplifying 207 yields: % 23.78/6.32 | (87) ~ (e2 = e0) % 23.78/6.32 | % 23.78/6.32 | Equations (321) can reduce 257 to: % 23.78/6.32 | (209) ~ (e1 = e0) % 23.78/6.32 | % 23.78/6.32 | Simplifying 209 yields: % 23.78/6.32 | (153) ~ (e1 = e0) % 23.78/6.32 | % 23.78/6.32 | From (321) and (84) follows: % 23.78/6.32 | (731) op(e1, e0) = all_0_10_10 % 23.78/6.32 | % 23.78/6.32 | Instantiating formula (58) with e1, e0, all_0_10_10, all_0_35_35 and discharging atoms op(e1, e0) = all_0_10_10, op(e1, e0) = all_0_35_35, yields: % 23.78/6.32 | (7221) all_0_10_10 = all_0_35_35 % 23.78/6.32 | % 23.78/6.32 | Instantiating formula (58) with e0, e1, all_0_11_11, all_0_38_38 and discharging atoms op(e0, e1) = all_0_11_11, op(e0, e1) = all_0_38_38, yields: % 23.78/6.32 | (7222) all_0_11_11 = all_0_38_38 % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (54), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (408) all_0_32_32 = e3 % 23.78/6.32 | % 23.78/6.32 | Equations (408) can reduce 89 to: % 23.78/6.32 | (1903) ~ (all_0_35_35 = e3) % 23.78/6.32 | % 23.78/6.32 | Simplifying 1903 yields: % 23.78/6.32 | (389) ~ (all_0_35_35 = e3) % 23.78/6.32 | % 23.78/6.32 | Equations (408) can reduce 11 to: % 23.78/6.32 | (232) ~ (all_0_36_36 = e3) % 23.78/6.32 | % 23.78/6.32 | Simplifying 232 yields: % 23.78/6.32 | (233) ~ (all_0_36_36 = e3) % 23.78/6.32 | % 23.78/6.32 | Equations (408) can reduce 350 to: % 23.78/6.32 | (74) ~ (e3 = e1) % 23.78/6.32 | % 23.78/6.32 | From (408) and (82) follows: % 23.78/6.32 | (2348) op(e1, e3) = e3 % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (179), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (358) all_0_35_35 = e3 % 23.78/6.32 | % 23.78/6.32 | Equations (358) can reduce 389 to: % 23.78/6.32 | (188) $false % 23.78/6.32 | % 23.78/6.32 |-The branch is then unsatisfiable % 23.78/6.32 |-Branch two: % 23.78/6.32 | (389) ~ (all_0_35_35 = e3) % 23.78/6.32 | (390) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0 % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (55), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (328) all_0_27_27 = e3 % 23.78/6.32 | % 23.78/6.32 | Combining equations (354,328) yields a new equation: % 23.78/6.32 | (387) e3 = e1 % 23.78/6.32 | % 23.78/6.32 | Equations (387) can reduce 74 to: % 23.78/6.32 | (188) $false % 23.78/6.32 | % 23.78/6.32 |-The branch is then unsatisfiable % 23.78/6.32 |-Branch two: % 23.78/6.32 | (227) ~ (all_0_27_27 = e3) % 23.78/6.32 | (331) all_0_31_31 = e3 | all_0_35_35 = e3 | all_0_39_39 = e3 % 23.78/6.32 | % 23.78/6.32 | Equations (354) can reduce 227 to: % 23.78/6.32 | (691) ~ (e3 = e1) % 23.78/6.32 | % 23.78/6.32 | Simplifying 691 yields: % 23.78/6.32 | (74) ~ (e3 = e1) % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (141), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (391) all_0_32_32 = e0 % 23.78/6.32 | % 23.78/6.32 | Combining equations (408,391) yields a new equation: % 23.78/6.32 | (425) e3 = e0 % 23.78/6.32 | % 23.78/6.32 | Simplifying 425 yields: % 23.78/6.32 | (370) e3 = e0 % 23.78/6.32 | % 23.78/6.32 | Equations (370) can reduce 79 to: % 23.78/6.32 | (188) $false % 23.78/6.32 | % 23.78/6.32 |-The branch is then unsatisfiable % 23.78/6.32 |-Branch two: % 23.78/6.32 | (403) ~ (all_0_32_32 = e0) % 23.78/6.32 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 23.78/6.32 | % 23.78/6.32 | Equations (408) can reduce 403 to: % 23.78/6.32 | (79) ~ (e3 = e0) % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (107), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (454) all_0_36_36 = e3 % 23.78/6.32 | % 23.78/6.32 | Equations (454) can reduce 233 to: % 23.78/6.32 | (188) $false % 23.78/6.32 | % 23.78/6.32 |-The branch is then unsatisfiable % 23.78/6.32 |-Branch two: % 23.78/6.32 | (233) ~ (all_0_36_36 = e3) % 23.78/6.32 | (477) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3 % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (97), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (454) all_0_36_36 = e3 % 23.78/6.32 | % 23.78/6.32 | Equations (454) can reduce 233 to: % 23.78/6.32 | (188) $false % 23.78/6.32 | % 23.78/6.32 |-The branch is then unsatisfiable % 23.78/6.32 |-Branch two: % 23.78/6.32 | (233) ~ (all_0_36_36 = e3) % 23.78/6.32 | (457) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0 % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (115), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (1082) all_0_24_24 = e0 % 23.78/6.32 | % 23.78/6.32 | Combining equations (332,1082) yields a new equation: % 23.78/6.32 | (535) e2 = e0 % 23.78/6.32 | % 23.78/6.32 | Simplifying 535 yields: % 23.78/6.32 | (536) e2 = e0 % 23.78/6.32 | % 23.78/6.32 | Equations (536) can reduce 87 to: % 23.78/6.32 | (188) $false % 23.78/6.32 | % 23.78/6.32 |-The branch is then unsatisfiable % 23.78/6.32 |-Branch two: % 23.78/6.32 | (220) ~ (all_0_24_24 = e0) % 23.78/6.32 | (1111) all_0_28_28 = e0 | all_0_32_32 = e0 | all_0_36_36 = e0 % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (457), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (732) all_0_36_36 = e2 % 23.78/6.32 | % 23.78/6.32 | Equations (732) can reduce 828 to: % 23.78/6.32 | (188) $false % 23.78/6.32 | % 23.78/6.32 |-The branch is then unsatisfiable % 23.78/6.32 |-Branch two: % 23.78/6.32 | (828) ~ (all_0_36_36 = e2) % 23.78/6.32 | (1147) all_0_36_36 = e1 | all_0_36_36 = e0 % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (1111), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (763) all_0_28_28 = e0 % 23.78/6.32 | % 23.78/6.32 | Equations (763) can reduce 30 to: % 23.78/6.32 | (836) ~ (all_0_31_31 = e0) % 23.78/6.32 | % 23.78/6.32 | Simplifying 836 yields: % 23.78/6.32 | (200) ~ (all_0_31_31 = e0) % 23.78/6.32 | % 23.78/6.32 | Equations (763) can reduce 52 to: % 23.78/6.32 | (644) ~ (all_0_36_36 = e0) % 23.78/6.32 | % 23.78/6.32 | Simplifying 644 yields: % 23.78/6.32 | (202) ~ (all_0_36_36 = e0) % 23.78/6.32 | % 23.78/6.32 | Equations (763) can reduce 852 to: % 23.78/6.32 | (207) ~ (e2 = e0) % 23.78/6.32 | % 23.78/6.32 | Simplifying 207 yields: % 23.78/6.32 | (87) ~ (e2 = e0) % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (113), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (694) all_0_24_24 = e1 % 23.78/6.32 | % 23.78/6.32 | Combining equations (332,694) yields a new equation: % 23.78/6.32 | (484) e2 = e1 % 23.78/6.32 | % 23.78/6.32 | Simplifying 484 yields: % 23.78/6.32 | (343) e2 = e1 % 23.78/6.32 | % 23.78/6.32 | Equations (343) can reduce 128 to: % 23.78/6.32 | (188) $false % 23.78/6.32 | % 23.78/6.32 |-The branch is then unsatisfiable % 23.78/6.32 |-Branch two: % 23.78/6.32 | (218) ~ (all_0_24_24 = e1) % 23.78/6.32 | (699) all_0_28_28 = e1 | all_0_32_32 = e1 | all_0_36_36 = e1 % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (16), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (348) all_0_28_28 = e1 % 23.78/6.32 | % 23.78/6.32 | Combining equations (763,348) yields a new equation: % 23.78/6.32 | (379) e1 = e0 % 23.78/6.32 | % 23.78/6.32 | Equations (379) can reduce 153 to: % 23.78/6.32 | (188) $false % 23.78/6.32 | % 23.78/6.32 |-The branch is then unsatisfiable % 23.78/6.32 |-Branch two: % 23.78/6.32 | (518) ~ (all_0_28_28 = e1) % 23.78/6.32 | (519) all_0_29_29 = e1 | all_0_30_30 = e1 | all_0_31_31 = e1 % 23.78/6.32 | % 23.78/6.32 | Equations (763) can reduce 518 to: % 23.78/6.32 | (209) ~ (e1 = e0) % 23.78/6.32 | % 23.78/6.32 | Simplifying 209 yields: % 23.78/6.32 | (153) ~ (e1 = e0) % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (10), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (416) all_0_31_31 = e3 % 23.78/6.32 | % 23.78/6.32 | Equations (416) can reduce 487 to: % 23.78/6.32 | (74) ~ (e3 = e1) % 23.78/6.32 | % 23.78/6.32 | Equations (416) can reduce 200 to: % 23.78/6.32 | (79) ~ (e3 = e0) % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (38), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (930) all_0_27_27 = e0 % 23.78/6.32 | % 23.78/6.32 | Combining equations (354,930) yields a new equation: % 23.78/6.32 | (510) e1 = e0 % 23.78/6.32 | % 23.78/6.32 | Simplifying 510 yields: % 23.78/6.32 | (379) e1 = e0 % 23.78/6.32 | % 23.78/6.32 | Equations (379) can reduce 153 to: % 23.78/6.32 | (188) $false % 23.78/6.32 | % 23.78/6.32 |-The branch is then unsatisfiable % 23.78/6.32 |-Branch two: % 23.78/6.32 | (199) ~ (all_0_27_27 = e0) % 23.78/6.32 | (4595) all_0_31_31 = e0 | all_0_35_35 = e0 | all_0_39_39 = e0 % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (174), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (543) all_0_26_26 = e3 % 23.78/6.32 | % 23.78/6.32 | Combining equations (321,543) yields a new equation: % 23.78/6.32 | (370) e3 = e0 % 23.78/6.32 | % 23.78/6.32 | Equations (370) can reduce 79 to: % 23.78/6.32 | (188) $false % 23.78/6.32 | % 23.78/6.32 |-The branch is then unsatisfiable % 23.78/6.32 |-Branch two: % 23.78/6.32 | (225) ~ (all_0_26_26 = e3) % 23.78/6.32 | (683) all_0_30_30 = e3 | all_0_34_34 = e3 | all_0_38_38 = e3 % 23.78/6.32 | % 23.78/6.32 | Equations (321) can reduce 225 to: % 23.78/6.32 | (205) ~ (e3 = e0) % 23.78/6.32 | % 23.78/6.32 | Simplifying 205 yields: % 23.78/6.32 | (79) ~ (e3 = e0) % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (4595), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (938) all_0_31_31 = e0 % 23.78/6.32 | % 23.78/6.32 | Combining equations (938,416) yields a new equation: % 23.78/6.32 | (370) e3 = e0 % 23.78/6.32 | % 23.78/6.32 | Equations (370) can reduce 79 to: % 23.78/6.32 | (188) $false % 23.78/6.32 | % 23.78/6.32 |-The branch is then unsatisfiable % 23.78/6.32 |-Branch two: % 23.78/6.32 | (200) ~ (all_0_31_31 = e0) % 23.78/6.32 | (4760) all_0_35_35 = e0 | all_0_39_39 = e0 % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (4760), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (401) all_0_35_35 = e0 % 23.78/6.32 | % 23.78/6.32 | Combining equations (401,7221) yields a new equation: % 23.78/6.32 | (7308) all_0_10_10 = e0 % 23.78/6.32 | % 23.78/6.32 | Equations (401) can reduce 261 to: % 23.78/6.32 | (209) ~ (e1 = e0) % 23.78/6.32 | % 23.78/6.32 | Simplifying 209 yields: % 23.78/6.32 | (153) ~ (e1 = e0) % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (699), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (348) all_0_28_28 = e1 % 23.78/6.32 | % 23.78/6.32 | Combining equations (763,348) yields a new equation: % 23.78/6.32 | (379) e1 = e0 % 23.78/6.32 | % 23.78/6.32 | Equations (379) can reduce 153 to: % 23.78/6.32 | (188) $false % 23.78/6.32 | % 23.78/6.32 |-The branch is then unsatisfiable % 23.78/6.32 |-Branch two: % 23.78/6.32 | (518) ~ (all_0_28_28 = e1) % 23.78/6.32 | (1003) all_0_32_32 = e1 | all_0_36_36 = e1 % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (1003), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (438) all_0_32_32 = e1 % 23.78/6.32 | % 23.78/6.32 | Combining equations (438,408) yields a new equation: % 23.78/6.32 | (387) e3 = e1 % 23.78/6.32 | % 23.78/6.32 | Equations (387) can reduce 74 to: % 23.78/6.32 | (188) $false % 23.78/6.32 | % 23.78/6.32 |-The branch is then unsatisfiable % 23.78/6.32 |-Branch two: % 23.78/6.32 | (350) ~ (all_0_32_32 = e1) % 23.78/6.32 | (445) all_0_36_36 = e1 % 23.78/6.32 | % 23.78/6.32 | Equations (445) can reduce 23 to: % 23.78/6.32 | (262) ~ (all_0_38_38 = e1) % 23.78/6.32 | % 23.78/6.32 | Simplifying 262 yields: % 23.78/6.32 | (263) ~ (all_0_38_38 = e1) % 23.78/6.32 | % 23.78/6.32 | Equations (445) can reduce 828 to: % 23.78/6.32 | (264) ~ (e2 = e1) % 23.78/6.32 | % 23.78/6.32 | Simplifying 264 yields: % 23.78/6.32 | (128) ~ (e2 = e1) % 23.78/6.32 | % 23.78/6.32 | Equations (445) can reduce 202 to: % 23.78/6.32 | (153) ~ (e1 = e0) % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (140), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (587) all_0_26_26 = e1 % 23.78/6.32 | % 23.78/6.32 | Combining equations (321,587) yields a new equation: % 23.78/6.32 | (379) e1 = e0 % 23.78/6.32 | % 23.78/6.32 | Equations (379) can reduce 153 to: % 23.78/6.32 | (188) $false % 23.78/6.32 | % 23.78/6.32 |-The branch is then unsatisfiable % 23.78/6.32 |-Branch two: % 23.78/6.32 | (257) ~ (all_0_26_26 = e1) % 23.78/6.32 | (2494) all_0_30_30 = e1 | all_0_34_34 = e1 | all_0_38_38 = e1 % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (61), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (489) all_0_38_38 = e3 % 23.78/6.32 | % 23.78/6.32 | Equations (489) can reduce 263 to: % 23.78/6.32 | (74) ~ (e3 = e1) % 23.78/6.32 | % 23.78/6.32 | From (489) and (152) follows: % 23.78/6.32 | (1188) op(e1, e3) = all_0_22_22 % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (2494), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (525) all_0_30_30 = e1 % 23.78/6.32 | % 23.78/6.32 | Combining equations (525,7172) yields a new equation: % 23.78/6.32 | (7335) all_0_17_17 = e1 % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (48), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (273) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) | ( ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35)) % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (273), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (274) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) % 23.78/6.32 | % 23.78/6.32 +-Applying beta-rule and splitting (274), into two cases. % 23.78/6.32 |-Branch one: % 23.78/6.32 | (275) ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27) % 23.78/6.32 | % 23.78/6.32 | Applying alpha-rule on (275) yields: % 23.78/6.32 | (276) ~ (all_0_8_8 = all_0_24_24) % 23.78/6.32 | (277) ~ (all_0_9_9 = all_0_25_25) % 23.78/6.32 | (278) ~ (all_0_10_10 = all_0_26_26) % 23.78/6.32 | (279) ~ (all_0_11_11 = all_0_27_27) % 23.78/6.32 | % 23.78/6.32 | Equations (7308,321) can reduce 278 to: % 23.78/6.32 | (188) $false % 23.78/6.32 | % 23.78/6.32 |-The branch is then unsatisfiable % 23.78/6.32 |-Branch two: % 23.78/6.32 | (281) ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31) % 23.78/6.32 | % 23.78/6.32 | Applying alpha-rule on (281) yields: % 23.78/6.32 | (282) ~ (all_0_12_12 = all_0_28_28) % 23.78/6.32 | (283) ~ (all_0_13_13 = all_0_29_29) % 23.78/6.32 | (284) ~ (all_0_14_14 = all_0_30_30) % 23.78/6.32 | (285) ~ (all_0_15_15 = all_0_31_31) % 23.78/6.32 | % 23.78/6.32 | Equations (299,291) can reduce 283 to: % 23.78/6.32 | (188) $false % 23.78/6.32 | % 23.78/6.32 |-The branch is then unsatisfiable % 23.78/6.32 |-Branch two: % 23.78/6.32 | (607) ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35) % 23.78/6.33 | % 23.78/6.33 | Applying alpha-rule on (607) yields: % 23.78/6.33 | (608) ~ (all_0_16_16 = all_0_32_32) % 23.78/6.33 | (609) ~ (all_0_17_17 = all_0_33_33) % 23.78/6.33 | (610) ~ (all_0_18_18 = all_0_34_34) % 23.78/6.33 | (611) ~ (all_0_19_19 = all_0_35_35) % 23.78/6.33 | % 23.78/6.33 | Equations (7335,383) can reduce 609 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (613) ~ (all_0_20_20 = all_0_36_36) & ~ (all_0_21_21 = all_0_37_37) & ~ (all_0_22_22 = all_0_38_38) & ~ (all_0_23_23 = all_0_39_39) % 23.78/6.33 | % 23.78/6.33 | Applying alpha-rule on (613) yields: % 23.78/6.33 | (614) ~ (all_0_20_20 = all_0_36_36) % 23.78/6.33 | (615) ~ (all_0_21_21 = all_0_37_37) % 23.78/6.33 | (616) ~ (all_0_22_22 = all_0_38_38) % 23.78/6.33 | (617) ~ (all_0_23_23 = all_0_39_39) % 23.78/6.33 | % 23.78/6.33 | Equations (489) can reduce 616 to: % 23.78/6.33 | (7361) ~ (all_0_22_22 = e3) % 23.78/6.33 | % 23.78/6.33 | Instantiating formula (58) with e1, e3, e3, all_0_22_22 and discharging atoms op(e1, e3) = all_0_22_22, op(e1, e3) = e3, yields: % 23.78/6.33 | (7362) all_0_22_22 = e3 % 23.78/6.33 | % 23.78/6.33 | Equations (7362) can reduce 7361 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (258) ~ (all_0_30_30 = e1) % 23.78/6.33 | (4962) all_0_34_34 = e1 | all_0_38_38 = e1 % 23.78/6.33 | % 23.78/6.33 +-Applying beta-rule and splitting (4962), into two cases. % 23.78/6.33 |-Branch one: % 23.78/6.33 | (256) all_0_34_34 = e1 % 23.78/6.33 | % 23.78/6.33 | Combining equations (252,256) yields a new equation: % 23.78/6.33 | (484) e2 = e1 % 23.78/6.33 | % 23.78/6.33 | Simplifying 484 yields: % 23.78/6.33 | (343) e2 = e1 % 23.78/6.33 | % 23.78/6.33 | Equations (343) can reduce 128 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (619) ~ (all_0_34_34 = e1) % 23.78/6.33 | (506) all_0_38_38 = e1 % 23.78/6.33 | % 23.78/6.33 | Combining equations (489,506) yields a new equation: % 23.78/6.33 | (492) e3 = e1 % 23.78/6.33 | % 23.78/6.33 | Simplifying 492 yields: % 23.78/6.33 | (387) e3 = e1 % 23.78/6.33 | % 23.78/6.33 | Equations (387) can reduce 74 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (499) ~ (all_0_38_38 = e3) % 23.78/6.33 | (575) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0 % 23.78/6.33 | % 23.78/6.33 +-Applying beta-rule and splitting (575), into two cases. % 23.78/6.33 |-Branch one: % 23.78/6.33 | (576) all_0_38_38 = e2 % 23.78/6.33 | % 23.78/6.33 | Equations (576) can reduce 554 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (554) ~ (all_0_38_38 = e2) % 23.78/6.33 | (579) all_0_38_38 = e1 | all_0_38_38 = e0 % 23.78/6.33 | % 23.78/6.33 +-Applying beta-rule and splitting (579), into two cases. % 23.78/6.33 |-Branch one: % 23.78/6.33 | (506) all_0_38_38 = e1 % 23.78/6.33 | % 23.78/6.33 | Equations (506) can reduce 263 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (263) ~ (all_0_38_38 = e1) % 23.78/6.33 | (583) all_0_38_38 = e0 % 23.78/6.33 | % 23.78/6.33 | Equations (583) can reduce 204 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (201) ~ (all_0_35_35 = e0) % 23.78/6.33 | (198) all_0_39_39 = e0 % 23.78/6.33 | % 23.78/6.33 | Combining equations (191,198) yields a new equation: % 23.78/6.33 | (535) e2 = e0 % 23.78/6.33 | % 23.78/6.33 | Simplifying 535 yields: % 23.78/6.33 | (536) e2 = e0 % 23.78/6.33 | % 23.78/6.33 | Equations (536) can reduce 87 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (419) ~ (all_0_31_31 = e3) % 23.78/6.33 | (967) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0 % 23.78/6.33 | % 23.78/6.33 +-Applying beta-rule and splitting (699), into two cases. % 23.78/6.33 |-Branch one: % 23.78/6.33 | (348) all_0_28_28 = e1 % 23.78/6.33 | % 23.78/6.33 | Combining equations (763,348) yields a new equation: % 23.78/6.33 | (379) e1 = e0 % 23.78/6.33 | % 23.78/6.33 | Equations (379) can reduce 153 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (518) ~ (all_0_28_28 = e1) % 23.78/6.33 | (1003) all_0_32_32 = e1 | all_0_36_36 = e1 % 23.78/6.33 | % 23.78/6.33 +-Applying beta-rule and splitting (1003), into two cases. % 23.78/6.33 |-Branch one: % 23.78/6.33 | (438) all_0_32_32 = e1 % 23.78/6.33 | % 23.78/6.33 | Combining equations (408,438) yields a new equation: % 23.78/6.33 | (492) e3 = e1 % 23.78/6.33 | % 23.78/6.33 | Simplifying 492 yields: % 23.78/6.33 | (387) e3 = e1 % 23.78/6.33 | % 23.78/6.33 | Equations (387) can reduce 74 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (350) ~ (all_0_32_32 = e1) % 23.78/6.33 | (445) all_0_36_36 = e1 % 23.78/6.33 | % 23.78/6.33 | Equations (445) can reduce 23 to: % 23.78/6.33 | (262) ~ (all_0_38_38 = e1) % 23.78/6.33 | % 23.78/6.33 | Simplifying 262 yields: % 23.78/6.33 | (263) ~ (all_0_38_38 = e1) % 23.78/6.33 | % 23.78/6.33 +-Applying beta-rule and splitting (61), into two cases. % 23.78/6.33 |-Branch one: % 23.78/6.33 | (489) all_0_38_38 = e3 % 23.78/6.33 | % 23.78/6.33 | Equations (489) can reduce 554 to: % 23.78/6.33 | (62) ~ (e3 = e2) % 23.78/6.33 | % 23.78/6.33 +-Applying beta-rule and splitting (331), into two cases. % 23.78/6.33 |-Branch one: % 23.78/6.33 | (416) all_0_31_31 = e3 % 23.78/6.33 | % 23.78/6.33 | Equations (416) can reduce 419 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (419) ~ (all_0_31_31 = e3) % 23.78/6.33 | (420) all_0_35_35 = e3 | all_0_39_39 = e3 % 23.78/6.33 | % 23.78/6.33 +-Applying beta-rule and splitting (420), into two cases. % 23.78/6.33 |-Branch one: % 23.78/6.33 | (358) all_0_35_35 = e3 % 23.78/6.33 | % 23.78/6.33 | Equations (358) can reduce 389 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (389) ~ (all_0_35_35 = e3) % 23.78/6.33 | (187) all_0_39_39 = e3 % 23.78/6.33 | % 23.78/6.33 | Combining equations (191,187) yields a new equation: % 23.78/6.33 | (333) e3 = e2 % 23.78/6.33 | % 23.78/6.33 | Equations (333) can reduce 62 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (499) ~ (all_0_38_38 = e3) % 23.78/6.33 | (575) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0 % 23.78/6.33 | % 23.78/6.33 +-Applying beta-rule and splitting (575), into two cases. % 23.78/6.33 |-Branch one: % 23.78/6.33 | (576) all_0_38_38 = e2 % 23.78/6.33 | % 23.78/6.33 | Equations (576) can reduce 554 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (554) ~ (all_0_38_38 = e2) % 23.78/6.33 | (579) all_0_38_38 = e1 | all_0_38_38 = e0 % 23.78/6.33 | % 23.78/6.33 +-Applying beta-rule and splitting (579), into two cases. % 23.78/6.33 |-Branch one: % 23.78/6.33 | (506) all_0_38_38 = e1 % 23.78/6.33 | % 23.78/6.33 | Equations (506) can reduce 263 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (263) ~ (all_0_38_38 = e1) % 23.78/6.33 | (583) all_0_38_38 = e0 % 23.78/6.33 | % 23.78/6.33 | Equations (583) can reduce 204 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (311) ~ (all_0_28_28 = e0) % 23.78/6.33 | (1119) all_0_32_32 = e0 | all_0_36_36 = e0 % 23.78/6.33 | % 23.78/6.33 +-Applying beta-rule and splitting (1147), into two cases. % 23.78/6.33 |-Branch one: % 23.78/6.33 | (445) all_0_36_36 = e1 % 23.78/6.33 | % 23.78/6.33 | Equations (445) can reduce 202 to: % 23.78/6.33 | (153) ~ (e1 = e0) % 23.78/6.33 | % 23.78/6.33 +-Applying beta-rule and splitting (1119), into two cases. % 23.78/6.33 |-Branch one: % 23.78/6.33 | (391) all_0_32_32 = e0 % 23.78/6.33 | % 23.78/6.33 | Combining equations (391,408) yields a new equation: % 23.78/6.33 | (370) e3 = e0 % 23.78/6.33 | % 23.78/6.33 | Equations (370) can reduce 79 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (403) ~ (all_0_32_32 = e0) % 23.78/6.33 | (1232) all_0_36_36 = e0 % 23.78/6.33 | % 23.78/6.33 | Combining equations (445,1232) yields a new equation: % 23.78/6.33 | (510) e1 = e0 % 23.78/6.33 | % 23.78/6.33 | Simplifying 510 yields: % 23.78/6.33 | (379) e1 = e0 % 23.78/6.33 | % 23.78/6.33 | Equations (379) can reduce 153 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (352) ~ (all_0_36_36 = e1) % 23.78/6.33 | (1232) all_0_36_36 = e0 % 23.78/6.33 | % 23.78/6.33 | Equations (1232) can reduce 202 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (231) ~ (all_0_32_32 = e3) % 23.78/6.33 | (413) all_0_33_33 = e3 | all_0_34_34 = e3 | all_0_35_35 = e3 % 23.78/6.33 | % 23.78/6.33 +-Applying beta-rule and splitting (413), into two cases. % 23.78/6.33 |-Branch one: % 23.78/6.33 | (374) all_0_33_33 = e3 % 23.78/6.33 | % 23.78/6.33 | Combining equations (374,383) yields a new equation: % 23.78/6.33 | (492) e3 = e1 % 23.78/6.33 | % 23.78/6.33 | Simplifying 492 yields: % 23.78/6.33 | (387) e3 = e1 % 23.78/6.33 | % 23.78/6.33 | Equations (387) can reduce 74 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (359) ~ (all_0_33_33 = e3) % 23.78/6.33 | (1510) all_0_34_34 = e3 | all_0_35_35 = e3 % 23.78/6.33 | % 23.78/6.33 +-Applying beta-rule and splitting (1510), into two cases. % 23.78/6.33 |-Branch one: % 23.78/6.33 | (248) all_0_34_34 = e3 % 23.78/6.33 | % 23.78/6.33 | Combining equations (252,248) yields a new equation: % 23.78/6.33 | (333) e3 = e2 % 23.78/6.33 | % 23.78/6.33 | Equations (333) can reduce 62 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (244) ~ (all_0_34_34 = e3) % 23.78/6.33 | (358) all_0_35_35 = e3 % 23.78/6.33 | % 23.78/6.33 | Equations (358) can reduce 147 to: % 23.78/6.33 | (419) ~ (all_0_31_31 = e3) % 23.78/6.33 | % 23.78/6.33 | Equations (358) can reduce 319 to: % 23.78/6.33 | (62) ~ (e3 = e2) % 23.78/6.33 | % 23.78/6.33 | From (358) and (170) follows: % 23.78/6.33 | (7459) op(e0, e3) = all_0_19_19 % 23.78/6.33 | % 23.78/6.33 +-Applying beta-rule and splitting (38), into two cases. % 23.78/6.33 |-Branch one: % 23.78/6.33 | (930) all_0_27_27 = e0 % 23.78/6.33 | % 23.78/6.33 | Combining equations (354,930) yields a new equation: % 23.78/6.33 | (510) e1 = e0 % 23.78/6.33 | % 23.78/6.33 | Simplifying 510 yields: % 23.78/6.33 | (379) e1 = e0 % 23.78/6.33 | % 23.78/6.33 | Equations (379) can reduce 153 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (199) ~ (all_0_27_27 = e0) % 23.78/6.33 | (4595) all_0_31_31 = e0 | all_0_35_35 = e0 | all_0_39_39 = e0 % 23.78/6.33 | % 23.78/6.33 | Equations (354) can reduce 199 to: % 23.78/6.33 | (153) ~ (e1 = e0) % 23.78/6.33 | % 23.78/6.33 +-Applying beta-rule and splitting (141), into two cases. % 23.78/6.33 |-Branch one: % 23.78/6.33 | (391) all_0_32_32 = e0 % 23.78/6.33 | % 23.78/6.33 | Equations (391) can reduce 11 to: % 23.78/6.33 | (644) ~ (all_0_36_36 = e0) % 23.78/6.33 | % 23.78/6.33 | Simplifying 644 yields: % 23.78/6.33 | (202) ~ (all_0_36_36 = e0) % 23.78/6.33 | % 23.78/6.33 | From (391) and (75) follows: % 23.78/6.33 | (3395) op(e3, e0) = all_0_16_16 % 23.78/6.33 | % 23.78/6.33 +-Applying beta-rule and splitting (4595), into two cases. % 23.78/6.33 |-Branch one: % 23.78/6.33 | (938) all_0_31_31 = e0 % 23.78/6.33 | % 23.78/6.33 | Combining equations (938,6121) yields a new equation: % 23.78/6.33 | (7472) all_0_21_21 = e0 % 23.78/6.33 | % 23.78/6.33 | Equations (938) can reduce 419 to: % 23.78/6.33 | (205) ~ (e3 = e0) % 23.78/6.33 | % 23.78/6.33 | Simplifying 205 yields: % 23.78/6.33 | (79) ~ (e3 = e0) % 23.78/6.33 | % 23.78/6.33 | Instantiating formula (58) with e3, e0, all_0_16_16, e1 and discharging atoms op(e3, e0) = all_0_16_16, op(e3, e0) = e1, yields: % 23.78/6.33 | (3419) all_0_16_16 = e1 % 23.78/6.33 | % 23.78/6.33 | Instantiating formula (58) with e0, e3, all_0_19_19, all_0_36_36 and discharging atoms op(e0, e3) = all_0_19_19, op(e0, e3) = all_0_36_36, yields: % 23.78/6.33 | (7476) all_0_19_19 = all_0_36_36 % 23.78/6.33 | % 23.78/6.33 +-Applying beta-rule and splitting (142), into two cases. % 23.78/6.33 |-Branch one: % 23.78/6.33 | (221) all_0_24_24 = e3 % 23.78/6.33 | % 23.78/6.33 | Combining equations (332,221) yields a new equation: % 23.78/6.33 | (333) e3 = e2 % 23.78/6.33 | % 23.78/6.33 | Equations (333) can reduce 62 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (1876) ~ (all_0_24_24 = e3) % 23.78/6.33 | (2125) all_0_28_28 = e3 | all_0_32_32 = e3 | all_0_36_36 = e3 % 23.78/6.33 | % 23.78/6.33 +-Applying beta-rule and splitting (97), into two cases. % 23.78/6.33 |-Branch one: % 23.78/6.33 | (454) all_0_36_36 = e3 % 23.78/6.33 | % 23.78/6.33 | Combining equations (454,7476) yields a new equation: % 23.78/6.33 | (7483) all_0_19_19 = e3 % 23.78/6.33 | % 23.78/6.33 | Equations (454) can reduce 23 to: % 23.78/6.33 | (673) ~ (all_0_38_38 = e3) % 23.78/6.33 | % 23.78/6.33 | Simplifying 673 yields: % 23.78/6.33 | (499) ~ (all_0_38_38 = e3) % 23.78/6.33 | % 23.78/6.33 +-Applying beta-rule and splitting (61), into two cases. % 23.78/6.33 |-Branch one: % 23.78/6.33 | (489) all_0_38_38 = e3 % 23.78/6.33 | % 23.78/6.33 | Equations (489) can reduce 499 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (499) ~ (all_0_38_38 = e3) % 23.78/6.33 | (575) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0 % 23.78/6.33 | % 23.78/6.33 +-Applying beta-rule and splitting (575), into two cases. % 23.78/6.33 |-Branch one: % 23.78/6.33 | (576) all_0_38_38 = e2 % 23.78/6.33 | % 23.78/6.33 | Equations (576) can reduce 554 to: % 23.78/6.33 | (188) $false % 23.78/6.33 | % 23.78/6.33 |-The branch is then unsatisfiable % 23.78/6.33 |-Branch two: % 23.78/6.33 | (554) ~ (all_0_38_38 = e2) % 23.78/6.33 | (579) all_0_38_38 = e1 | all_0_38_38 = e0 % 23.78/6.33 | % 23.78/6.33 +-Applying beta-rule and splitting (579), into two cases. % 23.78/6.33 |-Branch one: % 23.78/6.33 | (506) all_0_38_38 = e1 % 23.78/6.33 | % 23.78/6.34 | Combining equations (506,7222) yields a new equation: % 23.78/6.34 | (7495) all_0_11_11 = e1 % 23.78/6.34 | % 23.78/6.34 +-Applying beta-rule and splitting (48), into two cases. % 23.78/6.34 |-Branch one: % 23.78/6.34 | (273) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) | ( ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35)) % 23.78/6.34 | % 23.78/6.34 +-Applying beta-rule and splitting (273), into two cases. % 23.78/6.34 |-Branch one: % 23.78/6.34 | (274) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) % 23.78/6.34 | % 23.78/6.34 +-Applying beta-rule and splitting (274), into two cases. % 23.78/6.34 |-Branch one: % 23.78/6.34 | (275) ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27) % 23.78/6.34 | % 23.78/6.34 | Applying alpha-rule on (275) yields: % 23.78/6.34 | (276) ~ (all_0_8_8 = all_0_24_24) % 23.78/6.34 | (277) ~ (all_0_9_9 = all_0_25_25) % 23.78/6.34 | (278) ~ (all_0_10_10 = all_0_26_26) % 23.78/6.34 | (279) ~ (all_0_11_11 = all_0_27_27) % 23.78/6.34 | % 23.78/6.34 | Equations (7495,354) can reduce 279 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (281) ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31) % 23.78/6.34 | % 23.78/6.34 | Applying alpha-rule on (281) yields: % 23.78/6.34 | (282) ~ (all_0_12_12 = all_0_28_28) % 23.78/6.34 | (283) ~ (all_0_13_13 = all_0_29_29) % 23.78/6.34 | (284) ~ (all_0_14_14 = all_0_30_30) % 23.78/6.34 | (285) ~ (all_0_15_15 = all_0_31_31) % 23.78/6.34 | % 23.78/6.34 | Equations (299,291) can reduce 283 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (607) ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35) % 23.78/6.34 | % 23.78/6.34 | Applying alpha-rule on (607) yields: % 23.78/6.34 | (608) ~ (all_0_16_16 = all_0_32_32) % 23.78/6.34 | (609) ~ (all_0_17_17 = all_0_33_33) % 23.78/6.34 | (610) ~ (all_0_18_18 = all_0_34_34) % 23.78/6.34 | (611) ~ (all_0_19_19 = all_0_35_35) % 23.78/6.34 | % 23.78/6.34 | Equations (7483,358) can reduce 611 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (613) ~ (all_0_20_20 = all_0_36_36) & ~ (all_0_21_21 = all_0_37_37) & ~ (all_0_22_22 = all_0_38_38) & ~ (all_0_23_23 = all_0_39_39) % 23.78/6.34 | % 23.78/6.34 | Applying alpha-rule on (613) yields: % 23.78/6.34 | (614) ~ (all_0_20_20 = all_0_36_36) % 23.78/6.34 | (615) ~ (all_0_21_21 = all_0_37_37) % 23.78/6.34 | (616) ~ (all_0_22_22 = all_0_38_38) % 23.78/6.34 | (617) ~ (all_0_23_23 = all_0_39_39) % 23.78/6.34 | % 23.78/6.34 | Equations (7472,886) can reduce 615 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (263) ~ (all_0_38_38 = e1) % 23.78/6.34 | (583) all_0_38_38 = e0 % 23.78/6.34 | % 23.78/6.34 | Equations (583) can reduce 204 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (233) ~ (all_0_36_36 = e3) % 23.78/6.34 | (457) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0 % 23.78/6.34 | % 23.78/6.34 +-Applying beta-rule and splitting (2125), into two cases. % 23.78/6.34 |-Branch one: % 23.78/6.34 | (654) all_0_28_28 = e3 % 23.78/6.34 | % 23.78/6.34 | Combining equations (654,7167) yields a new equation: % 23.78/6.34 | (7528) all_0_9_9 = e3 % 23.78/6.34 | % 23.78/6.34 +-Applying beta-rule and splitting (457), into two cases. % 23.78/6.34 |-Branch one: % 23.78/6.34 | (732) all_0_36_36 = e2 % 23.78/6.34 | % 23.78/6.34 | Equations (732) can reduce 828 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (828) ~ (all_0_36_36 = e2) % 23.78/6.34 | (1147) all_0_36_36 = e1 | all_0_36_36 = e0 % 23.78/6.34 | % 23.78/6.34 +-Applying beta-rule and splitting (48), into two cases. % 23.78/6.34 |-Branch one: % 23.78/6.34 | (273) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) | ( ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35)) % 23.78/6.34 | % 23.78/6.34 +-Applying beta-rule and splitting (273), into two cases. % 23.78/6.34 |-Branch one: % 23.78/6.34 | (274) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) % 23.78/6.34 | % 23.78/6.34 +-Applying beta-rule and splitting (274), into two cases. % 23.78/6.34 |-Branch one: % 23.78/6.34 | (275) ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27) % 23.78/6.34 | % 23.78/6.34 | Applying alpha-rule on (275) yields: % 23.78/6.34 | (276) ~ (all_0_8_8 = all_0_24_24) % 23.78/6.34 | (277) ~ (all_0_9_9 = all_0_25_25) % 23.78/6.34 | (278) ~ (all_0_10_10 = all_0_26_26) % 23.78/6.34 | (279) ~ (all_0_11_11 = all_0_27_27) % 23.78/6.34 | % 23.78/6.34 | Equations (7528,363) can reduce 277 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (281) ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31) % 23.78/6.34 | % 23.78/6.34 | Applying alpha-rule on (281) yields: % 23.78/6.34 | (282) ~ (all_0_12_12 = all_0_28_28) % 23.78/6.34 | (283) ~ (all_0_13_13 = all_0_29_29) % 23.78/6.34 | (284) ~ (all_0_14_14 = all_0_30_30) % 23.78/6.34 | (285) ~ (all_0_15_15 = all_0_31_31) % 23.78/6.34 | % 23.78/6.34 | Equations (299,291) can reduce 283 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (607) ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35) % 23.78/6.34 | % 23.78/6.34 | Applying alpha-rule on (607) yields: % 23.78/6.34 | (608) ~ (all_0_16_16 = all_0_32_32) % 23.78/6.34 | (609) ~ (all_0_17_17 = all_0_33_33) % 23.78/6.34 | (610) ~ (all_0_18_18 = all_0_34_34) % 23.78/6.34 | (611) ~ (all_0_19_19 = all_0_35_35) % 23.78/6.34 | % 23.78/6.34 | Equations (3419,391) can reduce 608 to: % 23.78/6.34 | (153) ~ (e1 = e0) % 23.78/6.34 | % 23.78/6.34 | Equations (7172,383) can reduce 609 to: % 23.78/6.34 | (258) ~ (all_0_30_30 = e1) % 23.78/6.34 | % 23.78/6.34 | Equations (272,252) can reduce 610 to: % 23.78/6.34 | (264) ~ (e2 = e1) % 23.78/6.34 | % 23.78/6.34 | Simplifying 264 yields: % 23.78/6.34 | (128) ~ (e2 = e1) % 23.78/6.34 | % 23.78/6.34 +-Applying beta-rule and splitting (140), into two cases. % 23.78/6.34 |-Branch one: % 23.78/6.34 | (587) all_0_26_26 = e1 % 23.78/6.34 | % 23.78/6.34 | Combining equations (321,587) yields a new equation: % 23.78/6.34 | (379) e1 = e0 % 23.78/6.34 | % 23.78/6.34 | Equations (379) can reduce 153 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (257) ~ (all_0_26_26 = e1) % 23.78/6.34 | (2494) all_0_30_30 = e1 | all_0_34_34 = e1 | all_0_38_38 = e1 % 23.78/6.34 | % 23.78/6.34 +-Applying beta-rule and splitting (2494), into two cases. % 23.78/6.34 |-Branch one: % 23.78/6.34 | (525) all_0_30_30 = e1 % 23.78/6.34 | % 23.78/6.34 | Equations (525) can reduce 258 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (258) ~ (all_0_30_30 = e1) % 23.78/6.34 | (4962) all_0_34_34 = e1 | all_0_38_38 = e1 % 23.78/6.34 | % 23.78/6.34 +-Applying beta-rule and splitting (4962), into two cases. % 23.78/6.34 |-Branch one: % 23.78/6.34 | (256) all_0_34_34 = e1 % 23.78/6.34 | % 23.78/6.34 | Combining equations (252,256) yields a new equation: % 23.78/6.34 | (484) e2 = e1 % 23.78/6.34 | % 23.78/6.34 | Simplifying 484 yields: % 23.78/6.34 | (343) e2 = e1 % 23.78/6.34 | % 23.78/6.34 | Equations (343) can reduce 128 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (619) ~ (all_0_34_34 = e1) % 23.78/6.34 | (506) all_0_38_38 = e1 % 23.78/6.34 | % 23.78/6.34 | Equations (506) can reduce 23 to: % 23.78/6.34 | (352) ~ (all_0_36_36 = e1) % 23.78/6.34 | % 23.78/6.34 +-Applying beta-rule and splitting (1147), into two cases. % 23.78/6.34 |-Branch one: % 23.78/6.34 | (445) all_0_36_36 = e1 % 23.78/6.34 | % 23.78/6.34 | Equations (445) can reduce 352 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (352) ~ (all_0_36_36 = e1) % 23.78/6.34 | (1232) all_0_36_36 = e0 % 23.78/6.34 | % 23.78/6.34 | Equations (1232) can reduce 202 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (613) ~ (all_0_20_20 = all_0_36_36) & ~ (all_0_21_21 = all_0_37_37) & ~ (all_0_22_22 = all_0_38_38) & ~ (all_0_23_23 = all_0_39_39) % 23.78/6.34 | % 23.78/6.34 | Applying alpha-rule on (613) yields: % 23.78/6.34 | (614) ~ (all_0_20_20 = all_0_36_36) % 23.78/6.34 | (615) ~ (all_0_21_21 = all_0_37_37) % 23.78/6.34 | (616) ~ (all_0_22_22 = all_0_38_38) % 23.78/6.34 | (617) ~ (all_0_23_23 = all_0_39_39) % 23.78/6.34 | % 23.78/6.34 | Equations (7472,886) can reduce 615 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (229) ~ (all_0_28_28 = e3) % 23.78/6.34 | (2149) all_0_32_32 = e3 | all_0_36_36 = e3 % 23.78/6.34 | % 23.78/6.34 +-Applying beta-rule and splitting (2149), into two cases. % 23.78/6.34 |-Branch one: % 23.78/6.34 | (408) all_0_32_32 = e3 % 23.78/6.34 | % 23.78/6.34 | Combining equations (391,408) yields a new equation: % 23.78/6.34 | (370) e3 = e0 % 23.78/6.34 | % 23.78/6.34 | Equations (370) can reduce 79 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (231) ~ (all_0_32_32 = e3) % 23.78/6.34 | (454) all_0_36_36 = e3 % 23.78/6.34 | % 23.78/6.34 | Equations (454) can reduce 233 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (200) ~ (all_0_31_31 = e0) % 23.78/6.34 | (4760) all_0_35_35 = e0 | all_0_39_39 = e0 % 23.78/6.34 | % 23.78/6.34 +-Applying beta-rule and splitting (10), into two cases. % 23.78/6.34 |-Branch one: % 23.78/6.34 | (416) all_0_31_31 = e3 % 23.78/6.34 | % 23.78/6.34 | Equations (416) can reduce 419 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (419) ~ (all_0_31_31 = e3) % 23.78/6.34 | (967) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0 % 23.78/6.34 | % 23.78/6.34 +-Applying beta-rule and splitting (967), into two cases. % 23.78/6.34 |-Branch one: % 23.78/6.34 | (309) all_0_31_31 = e2 % 23.78/6.34 | % 23.78/6.34 | Equations (309) can reduce 817 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (817) ~ (all_0_31_31 = e2) % 23.78/6.34 | (996) all_0_31_31 = e1 | all_0_31_31 = e0 % 23.78/6.34 | % 23.78/6.34 +-Applying beta-rule and splitting (996), into two cases. % 23.78/6.34 |-Branch one: % 23.78/6.34 | (483) all_0_31_31 = e1 % 23.78/6.34 | % 23.78/6.34 | Equations (483) can reduce 487 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (487) ~ (all_0_31_31 = e1) % 23.78/6.34 | (938) all_0_31_31 = e0 % 23.78/6.34 | % 23.78/6.34 | Equations (938) can reduce 200 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (403) ~ (all_0_32_32 = e0) % 23.78/6.34 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 23.78/6.34 | % 23.78/6.34 +-Applying beta-rule and splitting (404), into two cases. % 23.78/6.34 |-Branch one: % 23.78/6.34 | (882) all_0_33_33 = e0 % 23.78/6.34 | % 23.78/6.34 | Combining equations (383,882) yields a new equation: % 23.78/6.34 | (510) e1 = e0 % 23.78/6.34 | % 23.78/6.34 | Simplifying 510 yields: % 23.78/6.34 | (379) e1 = e0 % 23.78/6.34 | % 23.78/6.34 | Equations (379) can reduce 153 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (885) ~ (all_0_33_33 = e0) % 23.78/6.34 | (1032) all_0_34_34 = e0 | all_0_35_35 = e0 % 23.78/6.34 | % 23.78/6.34 +-Applying beta-rule and splitting (1032), into two cases. % 23.78/6.34 |-Branch one: % 23.78/6.34 | (620) all_0_34_34 = e0 % 23.78/6.34 | % 23.78/6.34 | Combining equations (620,252) yields a new equation: % 23.78/6.34 | (536) e2 = e0 % 23.78/6.34 | % 23.78/6.34 | Equations (536) can reduce 87 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (245) ~ (all_0_34_34 = e0) % 23.78/6.34 | (401) all_0_35_35 = e0 % 23.78/6.34 | % 23.78/6.34 | Combining equations (401,358) yields a new equation: % 23.78/6.34 | (370) e3 = e0 % 23.78/6.34 | % 23.78/6.34 | Equations (370) can reduce 79 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (541) ~ (all_0_26_26 = e0) % 23.78/6.34 | (930) all_0_27_27 = e0 % 23.78/6.34 | % 23.78/6.34 | Combining equations (354,930) yields a new equation: % 23.78/6.34 | (510) e1 = e0 % 23.78/6.34 | % 23.78/6.34 | Simplifying 510 yields: % 23.78/6.34 | (379) e1 = e0 % 23.78/6.34 | % 23.78/6.34 | Equations (379) can reduce 153 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (443) ~ (all_0_27_27 = e1) % 23.78/6.34 | (444) all_0_31_31 = e1 | all_0_35_35 = e1 | all_0_39_39 = e1 % 23.78/6.34 | % 23.78/6.34 +-Applying beta-rule and splitting (126), into two cases. % 23.78/6.34 |-Branch one: % 23.78/6.34 | (694) all_0_24_24 = e1 % 23.78/6.34 | % 23.78/6.34 | Combining equations (332,694) yields a new equation: % 23.78/6.34 | (484) e2 = e1 % 23.78/6.34 | % 23.78/6.34 | Simplifying 484 yields: % 23.78/6.34 | (343) e2 = e1 % 23.78/6.34 | % 23.78/6.34 | Equations (343) can reduce 128 to: % 23.78/6.34 | (188) $false % 23.78/6.34 | % 23.78/6.34 |-The branch is then unsatisfiable % 23.78/6.34 |-Branch two: % 23.78/6.34 | (218) ~ (all_0_24_24 = e1) % 23.78/6.35 | (946) all_0_25_25 = e1 | all_0_26_26 = e1 | all_0_27_27 = e1 % 23.78/6.35 | % 23.78/6.35 | Equations (332) can reduce 218 to: % 23.78/6.35 | (128) ~ (e2 = e1) % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (444), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (483) all_0_31_31 = e1 % 23.78/6.35 | % 23.78/6.35 | Equations (483) can reduce 119 to: % 23.78/6.35 | (443) ~ (all_0_27_27 = e1) % 23.78/6.35 | % 23.78/6.35 | Equations (483) can reduce 30 to: % 23.78/6.35 | (518) ~ (all_0_28_28 = e1) % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (946), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (342) all_0_25_25 = e1 % 23.78/6.35 | % 23.78/6.35 | Combining equations (363,342) yields a new equation: % 23.78/6.35 | (492) e3 = e1 % 23.78/6.35 | % 23.78/6.35 | Simplifying 492 yields: % 23.78/6.35 | (387) e3 = e1 % 23.78/6.35 | % 23.78/6.35 | Equations (387) can reduce 74 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (345) ~ (all_0_25_25 = e1) % 23.78/6.35 | (950) all_0_26_26 = e1 | all_0_27_27 = e1 % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (950), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (587) all_0_26_26 = e1 % 23.78/6.35 | % 23.78/6.35 | Equations (587) can reduce 18 to: % 23.78/6.35 | (3584) ~ (all_0_27_27 = e1) % 23.78/6.35 | % 23.78/6.35 | Simplifying 3584 yields: % 23.78/6.35 | (443) ~ (all_0_27_27 = e1) % 23.78/6.35 | % 23.78/6.35 | Equations (587) can reduce 225 to: % 23.78/6.35 | (691) ~ (e3 = e1) % 23.78/6.35 | % 23.78/6.35 | Simplifying 691 yields: % 23.78/6.35 | (74) ~ (e3 = e1) % 23.78/6.35 | % 23.78/6.35 | From (587) and (176) follows: % 23.78/6.35 | (2816) op(e3, e1) = e1 % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (56), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (321) all_0_26_26 = e0 % 23.78/6.35 | % 23.78/6.35 | Combining equations (587,321) yields a new equation: % 23.78/6.35 | (510) e1 = e0 % 23.78/6.35 | % 23.78/6.35 | Simplifying 510 yields: % 23.78/6.35 | (379) e1 = e0 % 23.78/6.35 | % 23.78/6.35 | Equations (379) can reduce 153 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (541) ~ (all_0_26_26 = e0) % 23.78/6.35 | (542) all_0_30_30 = e0 | all_0_34_34 = e0 | all_0_38_38 = e0 % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (542), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (557) all_0_30_30 = e0 % 23.78/6.35 | % 23.78/6.35 | Equations (557) can reduce 159 to: % 23.78/6.35 | (311) ~ (all_0_28_28 = e0) % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (55), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (328) all_0_27_27 = e3 % 23.78/6.35 | % 23.78/6.35 | Equations (328) can reduce 227 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (227) ~ (all_0_27_27 = e3) % 23.78/6.35 | (331) all_0_31_31 = e3 | all_0_35_35 = e3 | all_0_39_39 = e3 % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (174), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (543) all_0_26_26 = e3 % 23.78/6.35 | % 23.78/6.35 | Combining equations (587,543) yields a new equation: % 23.78/6.35 | (387) e3 = e1 % 23.78/6.35 | % 23.78/6.35 | Equations (387) can reduce 74 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (225) ~ (all_0_26_26 = e3) % 23.78/6.35 | (683) all_0_30_30 = e3 | all_0_34_34 = e3 | all_0_38_38 = e3 % 23.78/6.35 | % 23.78/6.35 | Equations (587) can reduce 225 to: % 23.78/6.35 | (691) ~ (e3 = e1) % 23.78/6.35 | % 23.78/6.35 | Simplifying 691 yields: % 23.78/6.35 | (74) ~ (e3 = e1) % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (96), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (328) all_0_27_27 = e3 % 23.78/6.35 | % 23.78/6.35 | Equations (328) can reduce 227 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (227) ~ (all_0_27_27 = e3) % 23.78/6.35 | (922) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0 % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (156), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (445) all_0_36_36 = e1 % 23.78/6.35 | % 23.78/6.35 | Equations (445) can reduce 52 to: % 23.78/6.35 | (518) ~ (all_0_28_28 = e1) % 23.78/6.35 | % 23.78/6.35 | Equations (445) can reduce 11 to: % 23.78/6.35 | (350) ~ (all_0_32_32 = e1) % 23.78/6.35 | % 23.78/6.35 | From (445) and (86) follows: % 23.78/6.35 | (7676) op(e3, e1) = all_0_20_20 % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (121), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (654) all_0_28_28 = e3 % 23.78/6.35 | % 23.78/6.35 | Combining equations (654,7167) yields a new equation: % 23.78/6.35 | (7528) all_0_9_9 = e3 % 23.78/6.35 | % 23.78/6.35 | Equations (654) can reduce 852 to: % 23.78/6.35 | (62) ~ (e3 = e2) % 23.78/6.35 | % 23.78/6.35 | Equations (654) can reduce 518 to: % 23.78/6.35 | (74) ~ (e3 = e1) % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (331), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (416) all_0_31_31 = e3 % 23.78/6.35 | % 23.78/6.35 | Combining equations (483,416) yields a new equation: % 23.78/6.35 | (387) e3 = e1 % 23.78/6.35 | % 23.78/6.35 | Equations (387) can reduce 74 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (419) ~ (all_0_31_31 = e3) % 23.78/6.35 | (420) all_0_35_35 = e3 | all_0_39_39 = e3 % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (922), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (539) all_0_27_27 = e2 % 23.78/6.35 | % 23.78/6.35 | Equations (539) can reduce 310 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (310) ~ (all_0_27_27 = e2) % 23.78/6.35 | (926) all_0_27_27 = e1 | all_0_27_27 = e0 % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (420), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (358) all_0_35_35 = e3 % 23.78/6.35 | % 23.78/6.35 | Equations (358) can reduce 89 to: % 23.78/6.35 | (231) ~ (all_0_32_32 = e3) % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (38), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (930) all_0_27_27 = e0 % 23.78/6.35 | % 23.78/6.35 | From (930) and (57) follows: % 23.78/6.35 | (7693) op(e3, e0) = e0 % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (141), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (391) all_0_32_32 = e0 % 23.78/6.35 | % 23.78/6.35 | From (391) and (75) follows: % 23.78/6.35 | (3395) op(e3, e0) = all_0_16_16 % 23.78/6.35 | % 23.78/6.35 | Instantiating formula (58) with e3, e1, e1, all_0_20_20 and discharging atoms op(e3, e1) = all_0_20_20, op(e3, e1) = e1, yields: % 23.78/6.35 | (4128) all_0_20_20 = e1 % 23.78/6.35 | % 23.78/6.35 | Instantiating formula (58) with e3, e0, e0, all_0_16_16 and discharging atoms op(e3, e0) = all_0_16_16, op(e3, e0) = e0, yields: % 23.78/6.35 | (7697) all_0_16_16 = e0 % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (48), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (273) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) | ( ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35)) % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (273), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (274) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (274), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (275) ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27) % 23.78/6.35 | % 23.78/6.35 | Applying alpha-rule on (275) yields: % 23.78/6.35 | (276) ~ (all_0_8_8 = all_0_24_24) % 23.78/6.35 | (277) ~ (all_0_9_9 = all_0_25_25) % 23.78/6.35 | (278) ~ (all_0_10_10 = all_0_26_26) % 23.78/6.35 | (279) ~ (all_0_11_11 = all_0_27_27) % 23.78/6.35 | % 23.78/6.35 | Equations (7528,363) can reduce 277 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (281) ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31) % 23.78/6.35 | % 23.78/6.35 | Applying alpha-rule on (281) yields: % 23.78/6.35 | (282) ~ (all_0_12_12 = all_0_28_28) % 23.78/6.35 | (283) ~ (all_0_13_13 = all_0_29_29) % 23.78/6.35 | (284) ~ (all_0_14_14 = all_0_30_30) % 23.78/6.35 | (285) ~ (all_0_15_15 = all_0_31_31) % 23.78/6.35 | % 23.78/6.35 | Equations (299,291) can reduce 283 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (607) ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35) % 23.78/6.35 | % 23.78/6.35 | Applying alpha-rule on (607) yields: % 23.78/6.35 | (608) ~ (all_0_16_16 = all_0_32_32) % 23.78/6.35 | (609) ~ (all_0_17_17 = all_0_33_33) % 23.78/6.35 | (610) ~ (all_0_18_18 = all_0_34_34) % 23.78/6.35 | (611) ~ (all_0_19_19 = all_0_35_35) % 23.78/6.35 | % 23.78/6.35 | Equations (7697,391) can reduce 608 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (613) ~ (all_0_20_20 = all_0_36_36) & ~ (all_0_21_21 = all_0_37_37) & ~ (all_0_22_22 = all_0_38_38) & ~ (all_0_23_23 = all_0_39_39) % 23.78/6.35 | % 23.78/6.35 | Applying alpha-rule on (613) yields: % 23.78/6.35 | (614) ~ (all_0_20_20 = all_0_36_36) % 23.78/6.35 | (615) ~ (all_0_21_21 = all_0_37_37) % 23.78/6.35 | (616) ~ (all_0_22_22 = all_0_38_38) % 23.78/6.35 | (617) ~ (all_0_23_23 = all_0_39_39) % 23.78/6.35 | % 23.78/6.35 | Equations (4128,445) can reduce 614 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (403) ~ (all_0_32_32 = e0) % 23.78/6.35 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (124), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (408) all_0_32_32 = e3 % 23.78/6.35 | % 23.78/6.35 | Equations (408) can reduce 231 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (231) ~ (all_0_32_32 = e3) % 23.78/6.35 | (433) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0 % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (433), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (405) all_0_32_32 = e2 % 23.78/6.35 | % 23.78/6.35 | Equations (405) can reduce 428 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (428) ~ (all_0_32_32 = e2) % 23.78/6.35 | (437) all_0_32_32 = e1 | all_0_32_32 = e0 % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (437), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (438) all_0_32_32 = e1 % 23.78/6.35 | % 23.78/6.35 | Equations (438) can reduce 350 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (350) ~ (all_0_32_32 = e1) % 23.78/6.35 | (391) all_0_32_32 = e0 % 23.78/6.35 | % 23.78/6.35 | Equations (391) can reduce 403 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (199) ~ (all_0_27_27 = e0) % 23.78/6.35 | (4595) all_0_31_31 = e0 | all_0_35_35 = e0 | all_0_39_39 = e0 % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (926), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (354) all_0_27_27 = e1 % 23.78/6.35 | % 23.78/6.35 | Equations (354) can reduce 443 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (443) ~ (all_0_27_27 = e1) % 23.78/6.35 | (930) all_0_27_27 = e0 % 23.78/6.35 | % 23.78/6.35 | Equations (930) can reduce 199 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (389) ~ (all_0_35_35 = e3) % 23.78/6.35 | (187) all_0_39_39 = e3 % 23.78/6.35 | % 23.78/6.35 | Combining equations (191,187) yields a new equation: % 23.78/6.35 | (333) e3 = e2 % 23.78/6.35 | % 23.78/6.35 | Equations (333) can reduce 62 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (229) ~ (all_0_28_28 = e3) % 23.78/6.35 | (2366) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0 % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (2366), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (849) all_0_28_28 = e2 % 23.78/6.35 | % 23.78/6.35 | Equations (849) can reduce 852 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (852) ~ (all_0_28_28 = e2) % 23.78/6.35 | (2646) all_0_28_28 = e1 | all_0_28_28 = e0 % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (2646), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (348) all_0_28_28 = e1 % 23.78/6.35 | % 23.78/6.35 | Equations (348) can reduce 518 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (518) ~ (all_0_28_28 = e1) % 23.78/6.35 | (763) all_0_28_28 = e0 % 23.78/6.35 | % 23.78/6.35 | Equations (763) can reduce 311 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (352) ~ (all_0_36_36 = e1) % 23.78/6.35 | (448) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1 % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (331), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (416) all_0_31_31 = e3 % 23.78/6.35 | % 23.78/6.35 | Combining equations (483,416) yields a new equation: % 23.78/6.35 | (387) e3 = e1 % 23.78/6.35 | % 23.78/6.35 | Equations (387) can reduce 74 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (419) ~ (all_0_31_31 = e3) % 23.78/6.35 | (420) all_0_35_35 = e3 | all_0_39_39 = e3 % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (121), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (654) all_0_28_28 = e3 % 23.78/6.35 | % 23.78/6.35 | Equations (654) can reduce 52 to: % 23.78/6.35 | (232) ~ (all_0_36_36 = e3) % 23.78/6.35 | % 23.78/6.35 | Simplifying 232 yields: % 23.78/6.35 | (233) ~ (all_0_36_36 = e3) % 23.78/6.35 | % 23.78/6.35 | Equations (654) can reduce 852 to: % 23.78/6.35 | (62) ~ (e3 = e2) % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (420), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (358) all_0_35_35 = e3 % 23.78/6.35 | % 23.78/6.35 | Equations (358) can reduce 89 to: % 23.78/6.35 | (231) ~ (all_0_32_32 = e3) % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (124), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (408) all_0_32_32 = e3 % 23.78/6.35 | % 23.78/6.35 | Equations (408) can reduce 231 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (231) ~ (all_0_32_32 = e3) % 23.78/6.35 | (433) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0 % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (433), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (405) all_0_32_32 = e2 % 23.78/6.35 | % 23.78/6.35 | Equations (405) can reduce 428 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (428) ~ (all_0_32_32 = e2) % 23.78/6.35 | (437) all_0_32_32 = e1 | all_0_32_32 = e0 % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (437), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (438) all_0_32_32 = e1 % 23.78/6.35 | % 23.78/6.35 | Equations (438) can reduce 350 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (350) ~ (all_0_32_32 = e1) % 23.78/6.35 | (391) all_0_32_32 = e0 % 23.78/6.35 | % 23.78/6.35 | Equations (391) can reduce 11 to: % 23.78/6.35 | (644) ~ (all_0_36_36 = e0) % 23.78/6.35 | % 23.78/6.35 | Simplifying 644 yields: % 23.78/6.35 | (202) ~ (all_0_36_36 = e0) % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (97), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (454) all_0_36_36 = e3 % 23.78/6.35 | % 23.78/6.35 | Equations (454) can reduce 233 to: % 23.78/6.35 | (188) $false % 23.78/6.35 | % 23.78/6.35 |-The branch is then unsatisfiable % 23.78/6.35 |-Branch two: % 23.78/6.35 | (233) ~ (all_0_36_36 = e3) % 23.78/6.35 | (457) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0 % 23.78/6.35 | % 23.78/6.35 +-Applying beta-rule and splitting (457), into two cases. % 23.78/6.35 |-Branch one: % 23.78/6.35 | (732) all_0_36_36 = e2 % 23.78/6.36 | % 23.78/6.36 | Equations (732) can reduce 828 to: % 23.78/6.36 | (188) $false % 23.78/6.36 | % 23.78/6.36 |-The branch is then unsatisfiable % 23.78/6.36 |-Branch two: % 23.78/6.36 | (828) ~ (all_0_36_36 = e2) % 23.78/6.36 | (1147) all_0_36_36 = e1 | all_0_36_36 = e0 % 23.78/6.36 | % 23.78/6.36 +-Applying beta-rule and splitting (1147), into two cases. % 23.78/6.36 |-Branch one: % 23.78/6.36 | (445) all_0_36_36 = e1 % 23.78/6.36 | % 23.78/6.36 | Equations (445) can reduce 352 to: % 23.78/6.36 | (188) $false % 23.78/6.36 | % 23.78/6.36 |-The branch is then unsatisfiable % 23.78/6.36 |-Branch two: % 23.78/6.36 | (352) ~ (all_0_36_36 = e1) % 23.78/6.36 | (1232) all_0_36_36 = e0 % 23.78/6.36 | % 23.78/6.36 | Equations (1232) can reduce 202 to: % 23.78/6.36 | (188) $false % 23.78/6.36 | % 23.78/6.36 |-The branch is then unsatisfiable % 23.78/6.36 |-Branch two: % 23.78/6.36 | (389) ~ (all_0_35_35 = e3) % 23.78/6.36 | (187) all_0_39_39 = e3 % 23.78/6.36 | % 23.78/6.36 | Combining equations (187,191) yields a new equation: % 23.78/6.36 | (364) e3 = e2 % 23.78/6.36 | % 23.78/6.36 | Simplifying 364 yields: % 23.78/6.36 | (333) e3 = e2 % 23.78/6.36 | % 23.78/6.36 | Equations (333) can reduce 62 to: % 23.78/6.36 | (188) $false % 23.78/6.36 | % 23.78/6.36 |-The branch is then unsatisfiable % 23.78/6.36 |-Branch two: % 23.78/6.36 | (229) ~ (all_0_28_28 = e3) % 23.78/6.36 | (2366) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0 % 23.78/6.36 | % 23.78/6.36 +-Applying beta-rule and splitting (2366), into two cases. % 23.78/6.36 |-Branch one: % 23.78/6.36 | (849) all_0_28_28 = e2 % 23.78/6.36 | % 23.78/6.36 | Equations (849) can reduce 852 to: % 23.78/6.36 | (188) $false % 23.78/6.36 | % 23.78/6.36 |-The branch is then unsatisfiable % 23.78/6.36 |-Branch two: % 23.78/6.36 | (852) ~ (all_0_28_28 = e2) % 23.78/6.36 | (2646) all_0_28_28 = e1 | all_0_28_28 = e0 % 23.78/6.36 | % 23.78/6.36 +-Applying beta-rule and splitting (2646), into two cases. % 23.78/6.36 |-Branch one: % 23.78/6.36 | (348) all_0_28_28 = e1 % 23.78/6.36 | % 23.78/6.36 | Equations (348) can reduce 518 to: % 23.78/6.36 | (188) $false % 23.78/6.36 | % 23.78/6.36 |-The branch is then unsatisfiable % 23.78/6.36 |-Branch two: % 23.78/6.36 | (518) ~ (all_0_28_28 = e1) % 23.78/6.36 | (763) all_0_28_28 = e0 % 23.78/6.36 | % 23.78/6.36 | Equations (763) can reduce 311 to: % 23.78/6.36 | (188) $false % 23.78/6.36 | % 23.78/6.36 |-The branch is then unsatisfiable % 23.78/6.36 |-Branch two: % 23.78/6.36 | (313) ~ (all_0_30_30 = e0) % 23.78/6.36 | (560) all_0_34_34 = e0 | all_0_38_38 = e0 % 23.78/6.36 | % 23.78/6.36 +-Applying beta-rule and splitting (560), into two cases. % 23.78/6.36 |-Branch one: % 23.78/6.36 | (620) all_0_34_34 = e0 % 23.78/6.36 | % 23.78/6.36 | Combining equations (252,620) yields a new equation: % 23.78/6.36 | (535) e2 = e0 % 23.78/6.36 | % 23.78/6.36 | Simplifying 535 yields: % 23.78/6.36 | (536) e2 = e0 % 23.78/6.36 | % 23.78/6.36 | Equations (536) can reduce 87 to: % 23.78/6.36 | (188) $false % 23.78/6.36 | % 23.78/6.36 |-The branch is then unsatisfiable % 23.78/6.36 |-Branch two: % 23.78/6.36 | (245) ~ (all_0_34_34 = e0) % 23.78/6.36 | (583) all_0_38_38 = e0 % 23.78/6.36 | % 23.78/6.36 | Equations (583) can reduce 204 to: % 23.78/6.36 | (188) $false % 23.78/6.36 | % 23.78/6.36 |-The branch is then unsatisfiable % 23.78/6.36 |-Branch two: % 23.78/6.36 | (257) ~ (all_0_26_26 = e1) % 23.78/6.36 | (354) all_0_27_27 = e1 % 23.78/6.36 | % 23.78/6.36 | Equations (354) can reduce 443 to: % 23.78/6.36 | (188) $false % 23.78/6.36 | % 23.78/6.36 |-The branch is then unsatisfiable % 23.78/6.36 |-Branch two: % 23.78/6.36 | (487) ~ (all_0_31_31 = e1) % 23.78/6.36 | (488) all_0_35_35 = e1 | all_0_39_39 = e1 % 23.78/6.36 | % 23.78/6.36 +-Applying beta-rule and splitting (488), into two cases. % 23.78/6.36 |-Branch one: % 23.78/6.36 | (398) all_0_35_35 = e1 % 23.78/6.36 | % 23.78/6.36 | Equations (398) can reduce 261 to: % 23.78/6.36 | (188) $false % 23.78/6.36 | % 23.78/6.36 |-The branch is then unsatisfiable % 23.78/6.36 |-Branch two: % 23.78/6.36 | (261) ~ (all_0_35_35 = e1) % 23.78/6.36 | (195) all_0_39_39 = e1 % 23.78/6.36 | % 23.78/6.36 | Combining equations (191,195) yields a new equation: % 23.78/6.36 | (484) e2 = e1 % 23.78/6.36 | % 23.78/6.36 | Simplifying 484 yields: % 23.78/6.36 | (343) e2 = e1 % 23.78/6.36 | % 23.78/6.36 | Equations (343) can reduce 128 to: % 23.78/6.36 | (188) $false % 23.78/6.36 | % 23.78/6.36 |-The branch is then unsatisfiable % 23.78/6.36 |-Branch two: % 23.78/6.36 | (247) ~ (all_0_34_34 = e2) % 23.78/6.36 | (255) all_0_34_34 = e1 | all_0_34_34 = e0 % 23.78/6.36 | % 23.78/6.36 +-Applying beta-rule and splitting (255), into two cases. % 23.78/6.36 |-Branch one: % 23.78/6.36 | (256) all_0_34_34 = e1 % 23.78/6.36 | % 23.78/6.36 | Equations (256) can reduce 619 to: % 23.78/6.36 | (188) $false % 23.78/6.36 | % 23.78/6.36 |-The branch is then unsatisfiable % 23.78/6.36 |-Branch two: % 23.78/6.36 | (619) ~ (all_0_34_34 = e1) % 23.78/6.36 | (620) all_0_34_34 = e0 % 23.78/6.36 | % 23.78/6.36 | Equations (620) can reduce 245 to: % 23.78/6.36 | (188) $false % 23.78/6.36 | % 23.78/6.36 |-The branch is then unsatisfiable % 23.78/6.36 |-Branch two: % 23.78/6.36 | (620) all_0_34_34 = e0 % 23.78/6.36 | (398) all_0_35_35 = e1 % 23.78/6.36 | % 23.78/6.36 | Equations (398) can reduce 261 to: % 23.78/6.36 | (188) $false % 23.78/6.36 | % 23.78/6.36 |-The branch is then unsatisfiable % 23.78/6.36 |-Branch two: % 23.78/6.36 | (248) all_0_34_34 = e3 % 23.78/6.36 | (438) all_0_32_32 = e1 % 23.78/6.36 | % 23.78/6.36 | Equations (438) can reduce 350 to: % 23.78/6.36 | (188) $false % 23.78/6.36 | % 23.78/6.36 |-The branch is then unsatisfiable % 23.78/6.36 |-Branch two: % 23.78/6.36 | (301) ~ (all_0_29_29 = e2) % 23.78/6.36 | (5663) all_0_34_34 = e1 | all_0_39_39 = e0 % 23.78/6.36 | % 23.78/6.36 +-Applying beta-rule and splitting (5663), into two cases. % 23.78/6.36 |-Branch one: % 23.78/6.36 | (256) all_0_34_34 = e1 % 23.78/6.36 | % 23.78/6.36 | Equations (256) can reduce 619 to: % 23.78/6.36 | (188) $false % 23.78/6.36 | % 23.78/6.36 |-The branch is then unsatisfiable % 23.78/6.36 |-Branch two: % 23.78/6.36 | (619) ~ (all_0_34_34 = e1) % 23.78/6.36 | (198) all_0_39_39 = e0 % 23.78/6.36 | % 23.78/6.36 | Combining equations (198,191) yields a new equation: % 23.78/6.36 | (536) e2 = e0 % 23.78/6.36 | % 23.78/6.36 | Equations (536) can reduce 87 to: % 23.78/6.36 | (188) $false % 23.78/6.36 | % 23.78/6.36 |-The branch is then unsatisfiable % 23.78/6.36 |-Branch two: % 23.78/6.36 | (259) ~ (all_0_33_33 = e1) % 23.78/6.36 | (386) all_0_37_37 = e1 % 23.78/6.36 | % 23.78/6.36 | Combining equations (886,386) yields a new equation: % 23.78/6.36 | (379) e1 = e0 % 23.78/6.36 | % 23.78/6.36 | Equations (379) can reduce 153 to: % 23.78/6.36 | (188) $false % 23.78/6.36 | % 23.78/6.36 |-The branch is then unsatisfiable % 23.78/6.36 |-Branch two: % 23.78/6.36 | (195) all_0_39_39 = e1 % 23.78/6.36 | (583) all_0_38_38 = e0 % 23.78/6.36 | % 23.78/6.36 | Equations (583) can reduce 44 to: % 23.78/6.36 | (541) ~ (all_0_26_26 = e0) % 23.78/6.36 | % 23.78/6.36 | Equations (195) can reduce 145 to: % 23.78/6.36 | (443) ~ (all_0_27_27 = e1) % 23.78/6.36 | % 23.78/6.36 | Equations (583) can reduce 15 to: % 23.78/6.36 | (313) ~ (all_0_30_30 = e0) % 23.78/6.36 | % 23.78/6.36 | Equations (195) can reduce 8 to: % 23.78/6.36 | (487) ~ (all_0_31_31 = e1) % 23.78/6.36 | % 23.78/6.36 | Equations (583) can reduce 105 to: % 23.78/6.36 | (245) ~ (all_0_34_34 = e0) % 23.78/6.36 | % 23.78/6.36 | Equations (195) can reduce 125 to: % 23.78/6.36 | (261) ~ (all_0_35_35 = e1) % 23.78/6.36 | % 23.78/6.36 | Equations (583) can reduce 23 to: % 23.78/6.36 | (202) ~ (all_0_36_36 = e0) % 23.78/6.36 | % 23.78/6.36 | Equations (195) can reduce 19 to: % 23.78/6.36 | (352) ~ (all_0_36_36 = e1) % 23.78/6.36 | % 23.78/6.36 | Equations (583) can reduce 63 to: % 23.78/6.36 | (203) ~ (all_0_37_37 = e0) % 23.78/6.36 | % 23.78/6.36 | Equations (195) can reduce 64 to: % 23.78/6.36 | (504) ~ (all_0_37_37 = e1) % 23.78/6.36 | % 23.78/6.36 | Equations (583,195) can reduce 39 to: % 23.78/6.36 | (209) ~ (e1 = e0) % 23.78/6.36 | % 23.78/6.36 | Simplifying 209 yields: % 23.78/6.36 | (153) ~ (e1 = e0) % 23.78/6.36 | % 23.78/6.36 | From (195)(195) and (101) follows: % 23.78/6.36 | (7877) op(e1, e1) = all_0_1_1 % 23.78/6.36 | % 23.78/6.36 | From (195) and (26) follows: % 23.78/6.36 | (7878) op(e0, e0) = e1 % 23.78/6.36 | % 23.78/6.36 | Instantiating formula (58) with e1, e1, all_0_1_1, all_0_34_34 and discharging atoms op(e1, e1) = all_0_1_1, op(e1, e1) = all_0_34_34, yields: % 23.78/6.36 | (7879) all_0_1_1 = all_0_34_34 % 23.78/6.36 | % 23.78/6.36 | From (7879) and (155) follows: % 23.78/6.36 | (7880) op(e0, all_0_34_34) = all_0_0_0 % 23.78/6.36 | % 23.78/6.36 +-Applying beta-rule and splitting (76), into two cases. % 23.78/6.36 |-Branch one: % 23.78/6.36 | (247) ~ (all_0_34_34 = e2) % 23.78/6.36 | % 23.78/6.36 +-Applying beta-rule and splitting (163), into two cases. % 23.78/6.36 |-Branch one: % 23.78/6.36 | (219) ~ (all_0_24_24 = e2) % 23.78/6.36 | % 23.78/6.36 +-Applying beta-rule and splitting (29), into two cases. % 23.78/6.36 |-Branch one: % 23.78/6.36 | (286) ~ (all_0_29_29 = e0) % 23.78/6.36 | % 23.78/6.36 +-Applying beta-rule and splitting (132), into two cases. % 23.78/6.36 |-Branch one: % 23.78/6.36 | (218) ~ (all_0_24_24 = e1) % 23.78/6.36 | % 23.78/6.36 +-Applying beta-rule and splitting (154), into two cases. % 23.78/6.36 |-Branch one: % 23.78/6.36 | (244) ~ (all_0_34_34 = e3) % 23.78/6.36 | % 23.78/6.36 +-Applying beta-rule and splitting (135), into two cases. % 23.78/6.36 |-Branch one: % 23.78/6.36 | (248) all_0_34_34 = e3 % 23.78/6.36 | % 23.78/6.36 | Equations (248) can reduce 244 to: % 23.78/6.36 | (188) $false % 23.78/6.36 | % 23.78/6.36 |-The branch is then unsatisfiable % 23.78/6.36 |-Branch two: % 23.78/6.36 | (244) ~ (all_0_34_34 = e3) % 23.78/6.36 | (251) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0 % 23.78/6.36 | % 23.78/6.36 +-Applying beta-rule and splitting (251), into two cases. % 23.78/6.36 |-Branch one: % 23.78/6.36 | (252) all_0_34_34 = e2 % 23.78/6.36 | % 23.78/6.36 | Equations (252) can reduce 247 to: % 23.78/6.36 | (188) $false % 23.78/6.36 | % 23.78/6.36 |-The branch is then unsatisfiable % 23.78/6.36 |-Branch two: % 23.78/6.36 | (247) ~ (all_0_34_34 = e2) % 23.78/6.36 | (255) all_0_34_34 = e1 | all_0_34_34 = e0 % 23.78/6.36 | % 23.78/6.36 +-Applying beta-rule and splitting (255), into two cases. % 23.78/6.36 |-Branch one: % 23.78/6.36 | (256) all_0_34_34 = e1 % 23.78/6.36 | % 23.78/6.36 | Equations (256) can reduce 131 to: % 23.78/6.36 | (257) ~ (all_0_26_26 = e1) % 23.78/6.36 | % 23.78/6.36 | Equations (256) can reduce 139 to: % 23.78/6.36 | (258) ~ (all_0_30_30 = e1) % 23.78/6.36 | % 23.78/6.36 | Equations (256) can reduce 49 to: % 23.78/6.36 | (260) ~ (all_0_35_35 = e1) % 23.78/6.36 | % 23.78/6.36 | Simplifying 260 yields: % 23.78/6.36 | (261) ~ (all_0_35_35 = e1) % 23.78/6.36 | % 23.78/6.36 | Equations (256) can reduce 244 to: % 23.78/6.36 | (691) ~ (e3 = e1) % 23.78/6.36 | % 23.78/6.36 | Simplifying 691 yields: % 23.78/6.36 | (74) ~ (e3 = e1) % 23.78/6.36 | % 23.78/6.36 | Equations (256) can reduce 247 to: % 23.78/6.36 | (264) ~ (e2 = e1) % 23.78/6.36 | % 23.78/6.36 | Simplifying 264 yields: % 23.78/6.36 | (128) ~ (e2 = e1) % 23.78/6.36 | % 23.78/6.36 | Equations (256) can reduce 245 to: % 23.78/6.36 | (153) ~ (e1 = e0) % 23.78/6.36 | % 23.78/6.36 +-Applying beta-rule and splitting (126), into two cases. % 23.78/6.36 |-Branch one: % 23.78/6.36 | (694) all_0_24_24 = e1 % 23.78/6.36 | % 23.78/6.36 | Equations (694) can reduce 218 to: % 23.78/6.36 | (188) $false % 23.78/6.36 | % 23.78/6.36 |-The branch is then unsatisfiable % 23.78/6.36 |-Branch two: % 23.78/6.36 | (218) ~ (all_0_24_24 = e1) % 23.78/6.36 | (946) all_0_25_25 = e1 | all_0_26_26 = e1 | all_0_27_27 = e1 % 23.78/6.36 | % 23.78/6.36 +-Applying beta-rule and splitting (946), into two cases. % 23.78/6.36 |-Branch one: % 23.78/6.36 | (342) all_0_25_25 = e1 % 23.78/6.36 | % 23.78/6.36 | Equations (342) can reduce 71 to: % 23.78/6.36 | (2303) ~ (all_0_26_26 = e1) % 23.78/6.36 | % 23.78/6.36 | Simplifying 2303 yields: % 23.78/6.36 | (257) ~ (all_0_26_26 = e1) % 23.78/6.36 | % 23.78/6.36 | Equations (342) can reduce 130 to: % 23.78/6.36 | (3584) ~ (all_0_27_27 = e1) % 23.78/6.36 | % 23.78/6.36 | Simplifying 3584 yields: % 23.78/6.36 | (443) ~ (all_0_27_27 = e1) % 23.78/6.36 | % 23.78/6.36 | Equations (342) can reduce 47 to: % 23.78/6.36 | (701) ~ (all_0_29_29 = e1) % 23.78/6.36 | % 23.78/6.36 | Simplifying 701 yields: % 23.78/6.36 | (183) ~ (all_0_29_29 = e1) % 23.78/6.36 | % 23.78/6.36 | Equations (342) can reduce 31 to: % 23.78/6.36 | (1149) ~ (all_0_37_37 = e1) % 23.78/6.36 | % 23.78/6.36 | Simplifying 1149 yields: % 23.78/6.36 | (504) ~ (all_0_37_37 = e1) % 23.78/6.36 | % 23.78/6.36 +-Applying beta-rule and splitting (16), into two cases. % 23.78/6.36 |-Branch one: % 23.78/6.36 | (348) all_0_28_28 = e1 % 23.78/6.36 | % 23.78/6.36 | Equations (348) can reduce 9 to: % 23.78/6.36 | (218) ~ (all_0_24_24 = e1) % 23.78/6.36 | % 23.78/6.36 | Equations (348) can reduce 118 to: % 23.78/6.36 | (701) ~ (all_0_29_29 = e1) % 23.78/6.36 | % 23.78/6.36 | Simplifying 701 yields: % 23.78/6.36 | (183) ~ (all_0_29_29 = e1) % 23.78/6.36 | % 23.78/6.36 | Equations (348) can reduce 159 to: % 23.78/6.36 | (548) ~ (all_0_30_30 = e1) % 23.78/6.36 | % 23.78/6.36 | Simplifying 548 yields: % 23.78/6.36 | (258) ~ (all_0_30_30 = e1) % 23.78/6.36 | % 23.78/6.36 | Equations (348) can reduce 30 to: % 23.78/6.36 | (722) ~ (all_0_31_31 = e1) % 23.78/6.36 | % 23.78/6.36 | Simplifying 722 yields: % 23.78/6.36 | (487) ~ (all_0_31_31 = e1) % 23.78/6.36 | % 23.78/6.36 | Equations (348) can reduce 95 to: % 23.78/6.36 | (349) ~ (all_0_32_32 = e1) % 23.78/6.36 | % 23.78/6.36 | Simplifying 349 yields: % 23.78/6.36 | (350) ~ (all_0_32_32 = e1) % 23.78/6.36 | % 23.78/6.36 | Equations (348) can reduce 52 to: % 23.78/6.36 | (351) ~ (all_0_36_36 = e1) % 23.78/6.36 | % 23.78/6.36 | Simplifying 351 yields: % 23.78/6.36 | (352) ~ (all_0_36_36 = e1) % 23.78/6.36 | % 23.78/6.36 | From (348) and (175) follows: % 23.78/6.36 | (2829) op(e3, e1) = all_0_12_12 % 23.78/6.36 | % 23.78/6.36 +-Applying beta-rule and splitting (164), into two cases. % 23.78/6.36 |-Branch one: % 23.78/6.36 | (246) ~ (all_0_29_29 = e3) % 23.78/6.36 | % 23.78/6.36 +-Applying beta-rule and splitting (27), into two cases. % 23.78/6.36 |-Branch one: % 23.78/6.36 | (763) all_0_28_28 = e0 % 23.78/6.36 | % 23.78/6.36 | Combining equations (348,763) yields a new equation: % 23.78/6.36 | (510) e1 = e0 % 23.78/6.36 | % 23.78/6.36 | Simplifying 510 yields: % 23.78/6.36 | (379) e1 = e0 % 23.78/6.36 | % 23.78/6.36 | Equations (379) can reduce 153 to: % 23.78/6.36 | (188) $false % 23.78/6.36 | % 23.78/6.36 |-The branch is then unsatisfiable % 23.78/6.36 |-Branch two: % 23.78/6.36 | (311) ~ (all_0_28_28 = e0) % 23.78/6.36 | (768) all_0_29_29 = e0 | all_0_30_30 = e0 | all_0_31_31 = e0 % 23.78/6.36 | % 23.78/6.36 | Equations (348) can reduce 311 to: % 23.78/6.36 | (153) ~ (e1 = e0) % 23.78/6.36 | % 23.78/6.36 +-Applying beta-rule and splitting (78), into two cases. % 23.78/6.36 |-Branch one: % 23.78/6.36 | (287) all_0_29_29 = e3 % 23.78/6.36 | % 23.78/6.36 | Equations (287) can reduce 246 to: % 23.78/6.36 | (188) $false % 23.78/6.36 | % 23.78/6.36 |-The branch is then unsatisfiable % 23.78/6.36 |-Branch two: % 23.78/6.36 | (246) ~ (all_0_29_29 = e3) % 23.78/6.36 | (290) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0 % 23.78/6.36 | % 23.78/6.36 +-Applying beta-rule and splitting (290), into two cases. % 23.78/6.36 |-Branch one: % 23.78/6.36 | (291) all_0_29_29 = e2 % 23.78/6.36 | % 23.78/6.36 | Equations (291) can reduce 133 to: % 23.78/6.36 | (551) ~ (all_0_30_30 = e2) % 23.78/6.36 | % 23.78/6.36 | Simplifying 551 yields: % 23.78/6.36 | (552) ~ (all_0_30_30 = e2) % 23.78/6.36 | % 23.78/6.36 | Equations (291) can reduce 53 to: % 23.78/6.36 | (1045) ~ (all_0_31_31 = e2) % 23.78/6.36 | % 23.78/6.36 | Simplifying 1045 yields: % 23.78/6.36 | (817) ~ (all_0_31_31 = e2) % 23.78/6.36 | % 23.78/6.36 | Equations (291) can reduce 108 to: % 23.78/6.36 | (2551) ~ (all_0_33_33 = e2) % 23.78/6.36 | % 23.78/6.36 | Simplifying 2551 yields: % 23.78/6.36 | (813) ~ (all_0_33_33 = e2) % 23.78/6.36 | % 23.78/6.36 | Equations (291) can reduce 35 to: % 23.78/6.36 | (338) ~ (all_0_37_37 = e2) % 23.78/6.36 | % 23.78/6.36 | Simplifying 338 yields: % 23.78/6.36 | (339) ~ (all_0_37_37 = e2) % 23.78/6.36 | % 23.78/6.37 | Equations (291) can reduce 246 to: % 23.78/6.37 | (340) ~ (e3 = e2) % 23.78/6.37 | % 23.78/6.37 | Simplifying 340 yields: % 23.78/6.37 | (62) ~ (e3 = e2) % 23.78/6.37 | % 23.78/6.37 | Equations (291) can reduce 183 to: % 23.78/6.37 | (128) ~ (e2 = e1) % 23.78/6.37 | % 23.78/6.37 | Equations (291) can reduce 286 to: % 23.78/6.37 | (87) ~ (e2 = e0) % 23.78/6.37 | % 23.78/6.37 +-Applying beta-rule and splitting (6), into two cases. % 23.78/6.37 |-Branch one: % 23.78/6.37 | (534) all_0_26_26 = e2 % 23.78/6.37 | % 23.78/6.37 | Equations (534) can reduce 60 to: % 23.78/6.37 | (219) ~ (all_0_24_24 = e2) % 23.78/6.37 | % 23.78/6.37 | Equations (534) can reduce 18 to: % 23.78/6.37 | (5078) ~ (all_0_27_27 = e2) % 23.78/6.37 | % 23.78/6.37 | Simplifying 5078 yields: % 23.78/6.37 | (310) ~ (all_0_27_27 = e2) % 23.78/6.37 | % 23.78/6.37 | Equations (534) can reduce 151 to: % 23.78/6.37 | (551) ~ (all_0_30_30 = e2) % 23.78/6.37 | % 23.78/6.37 | Simplifying 551 yields: % 23.78/6.37 | (552) ~ (all_0_30_30 = e2) % 23.78/6.37 | % 23.78/6.37 | Equations (534) can reduce 257 to: % 23.78/6.37 | (128) ~ (e2 = e1) % 23.78/6.37 | % 23.78/6.37 | Equations (534) can reduce 541 to: % 23.78/6.37 | (87) ~ (e2 = e0) % 23.78/6.37 | % 23.78/6.37 | From (534) and (176) follows: % 23.78/6.37 | (7963) op(e3, e1) = e2 % 23.78/6.37 | % 23.78/6.37 +-Applying beta-rule and splitting (174), into two cases. % 23.78/6.37 |-Branch one: % 23.78/6.37 | (543) all_0_26_26 = e3 % 23.78/6.37 | % 23.78/6.37 | Combining equations (534,543) yields a new equation: % 23.78/6.37 | (333) e3 = e2 % 23.78/6.37 | % 23.78/6.37 | Equations (333) can reduce 62 to: % 23.78/6.37 | (188) $false % 23.78/6.37 | % 23.78/6.37 |-The branch is then unsatisfiable % 23.78/6.37 |-Branch two: % 23.78/6.37 | (225) ~ (all_0_26_26 = e3) % 23.78/6.37 | (683) all_0_30_30 = e3 | all_0_34_34 = e3 | all_0_38_38 = e3 % 23.78/6.37 | % 23.78/6.37 +-Applying beta-rule and splitting (768), into two cases. % 23.78/6.37 |-Branch one: % 23.78/6.37 | (306) all_0_29_29 = e0 % 23.78/6.37 | % 23.78/6.37 | Combining equations (291,306) yields a new equation: % 23.78/6.37 | (535) e2 = e0 % 23.78/6.37 | % 23.78/6.37 | Simplifying 535 yields: % 23.78/6.37 | (536) e2 = e0 % 23.78/6.37 | % 23.78/6.37 | Equations (536) can reduce 87 to: % 23.78/6.37 | (188) $false % 23.78/6.37 | % 23.78/6.37 |-The branch is then unsatisfiable % 23.78/6.37 |-Branch two: % 23.78/6.37 | (286) ~ (all_0_29_29 = e0) % 23.78/6.37 | (798) all_0_30_30 = e0 | all_0_31_31 = e0 % 23.78/6.37 | % 23.78/6.37 +-Applying beta-rule and splitting (683), into two cases. % 23.78/6.37 |-Branch one: % 23.78/6.37 | (561) all_0_30_30 = e3 % 23.78/6.37 | % 23.78/6.37 | Equations (561) can reduce 168 to: % 23.78/6.37 | (711) ~ (all_0_31_31 = e3) % 23.78/6.37 | % 23.78/6.37 | Simplifying 711 yields: % 23.78/6.37 | (419) ~ (all_0_31_31 = e3) % 23.78/6.37 | % 23.78/6.37 | Equations (561) can reduce 552 to: % 23.78/6.37 | (62) ~ (e3 = e2) % 23.78/6.37 | % 23.78/6.37 | Equations (561) can reduce 258 to: % 23.78/6.37 | (74) ~ (e3 = e1) % 23.78/6.37 | % 23.78/6.37 | Equations (561) can reduce 313 to: % 23.78/6.37 | (79) ~ (e3 = e0) % 23.78/6.37 | % 23.78/6.37 +-Applying beta-rule and splitting (98), into two cases. % 23.78/6.37 |-Branch one: % 23.78/6.37 | (732) all_0_36_36 = e2 % 23.78/6.37 | % 23.78/6.37 | Equations (732) can reduce 68 to: % 23.78/6.37 | (219) ~ (all_0_24_24 = e2) % 23.78/6.37 | % 23.78/6.37 | Equations (732) can reduce 169 to: % 23.78/6.37 | (338) ~ (all_0_37_37 = e2) % 23.78/6.37 | % 23.78/6.37 | Simplifying 338 yields: % 23.78/6.37 | (339) ~ (all_0_37_37 = e2) % 23.78/6.37 | % 23.78/6.37 | Equations (732) can reduce 352 to: % 23.78/6.37 | (128) ~ (e2 = e1) % 23.78/6.37 | % 23.78/6.37 | Equations (732) can reduce 202 to: % 23.78/6.37 | (87) ~ (e2 = e0) % 23.78/6.37 | % 23.78/6.37 +-Applying beta-rule and splitting (111), into two cases. % 23.78/6.37 |-Branch one: % 23.78/6.37 | (377) all_0_37_37 = e3 % 23.78/6.37 | % 23.78/6.37 | Equations (377) can reduce 339 to: % 23.78/6.37 | (62) ~ (e3 = e2) % 23.78/6.37 | % 23.78/6.37 | Equations (377) can reduce 504 to: % 23.78/6.37 | (74) ~ (e3 = e1) % 23.78/6.37 | % 23.78/6.37 | Equations (377) can reduce 203 to: % 23.78/6.37 | (79) ~ (e3 = e0) % 23.78/6.37 | % 23.78/6.37 +-Applying beta-rule and splitting (13), into two cases. % 23.78/6.37 |-Branch one: % 23.78/6.37 | (539) all_0_27_27 = e2 % 23.78/6.37 | % 23.78/6.37 | Equations (539) can reduce 310 to: % 23.78/6.37 | (188) $false % 23.78/6.37 | % 23.78/6.37 |-The branch is then unsatisfiable % 23.78/6.37 |-Branch two: % 23.78/6.37 | (310) ~ (all_0_27_27 = e2) % 23.78/6.37 | (741) all_0_31_31 = e2 | all_0_35_35 = e2 | all_0_39_39 = e2 % 23.78/6.37 | % 23.78/6.37 +-Applying beta-rule and splitting (741), into two cases. % 23.78/6.37 |-Branch one: % 23.78/6.37 | (309) all_0_31_31 = e2 % 23.78/6.37 | % 23.78/6.37 | Equations (309) can reduce 817 to: % 23.78/6.37 | (188) $false % 23.78/6.37 | % 23.78/6.37 |-The branch is then unsatisfiable % 23.78/6.37 |-Branch two: % 23.78/6.37 | (817) ~ (all_0_31_31 = e2) % 23.78/6.37 | (818) all_0_35_35 = e2 | all_0_39_39 = e2 % 23.78/6.37 | % 23.78/6.37 +-Applying beta-rule and splitting (818), into two cases. % 23.78/6.37 |-Branch one: % 23.78/6.37 | (394) all_0_35_35 = e2 % 23.78/6.37 | % 23.78/6.37 +-Applying beta-rule and splitting (10), into two cases. % 23.78/6.37 |-Branch one: % 23.78/6.37 | (416) all_0_31_31 = e3 % 23.78/6.37 | % 23.78/6.37 | Equations (416) can reduce 419 to: % 23.78/6.37 | (188) $false % 23.78/6.37 | % 23.78/6.37 |-The branch is then unsatisfiable % 23.78/6.37 |-Branch two: % 23.78/6.37 | (419) ~ (all_0_31_31 = e3) % 23.78/6.37 | (967) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0 % 23.78/6.37 | % 23.78/6.37 +-Applying beta-rule and splitting (55), into two cases. % 23.78/6.37 |-Branch one: % 23.78/6.37 | (328) all_0_27_27 = e3 % 23.78/6.37 | % 23.78/6.37 | Equations (328) can reduce 160 to: % 23.78/6.37 | (1876) ~ (all_0_24_24 = e3) % 23.78/6.37 | % 23.78/6.37 +-Applying beta-rule and splitting (38), into two cases. % 23.78/6.37 |-Branch one: % 23.78/6.37 | (930) all_0_27_27 = e0 % 23.78/6.37 | % 23.78/6.37 | Combining equations (328,930) yields a new equation: % 23.78/6.37 | (425) e3 = e0 % 23.78/6.37 | % 23.78/6.37 | Simplifying 425 yields: % 23.78/6.37 | (370) e3 = e0 % 23.78/6.37 | % 23.78/6.37 | Equations (370) can reduce 79 to: % 23.78/6.37 | (188) $false % 23.78/6.37 | % 23.78/6.37 |-The branch is then unsatisfiable % 23.78/6.37 |-Branch two: % 23.78/6.37 | (199) ~ (all_0_27_27 = e0) % 23.78/6.37 | (4595) all_0_31_31 = e0 | all_0_35_35 = e0 | all_0_39_39 = e0 % 23.78/6.37 | % 23.78/6.37 +-Applying beta-rule and splitting (4595), into two cases. % 23.78/6.37 |-Branch one: % 23.78/6.37 | (938) all_0_31_31 = e0 % 23.78/6.37 | % 23.78/6.37 | From (938) and (40) follows: % 23.78/6.37 | (4340) op(e0, e0) = all_0_15_15 % 23.78/6.37 | % 23.78/6.37 +-Applying beta-rule and splitting (17), into two cases. % 23.78/6.37 |-Branch one: % 23.78/6.37 | (221) all_0_24_24 = e3 % 23.78/6.37 | % 23.78/6.37 | Equations (221) can reduce 1876 to: % 23.78/6.37 | (188) $false % 23.78/6.37 | % 23.78/6.37 |-The branch is then unsatisfiable % 23.78/6.37 |-Branch two: % 23.78/6.37 | (1876) ~ (all_0_24_24 = e3) % 23.78/6.37 | (1877) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0 % 23.78/6.37 | % 23.78/6.37 +-Applying beta-rule and splitting (1877), into two cases. % 23.78/6.37 |-Branch one: % 23.78/6.37 | (332) all_0_24_24 = e2 % 23.78/6.37 | % 23.78/6.37 | Equations (332) can reduce 219 to: % 23.78/6.37 | (188) $false % 23.78/6.37 | % 23.78/6.37 |-The branch is then unsatisfiable % 23.78/6.37 |-Branch two: % 23.78/6.37 | (219) ~ (all_0_24_24 = e2) % 23.78/6.37 | (1881) all_0_24_24 = e1 | all_0_24_24 = e0 % 23.78/6.37 | % 23.78/6.37 +-Applying beta-rule and splitting (1881), into two cases. % 23.78/6.37 |-Branch one: % 23.78/6.37 | (694) all_0_24_24 = e1 % 23.78/6.37 | % 23.78/6.37 | Equations (694) can reduce 218 to: % 23.78/6.37 | (188) $false % 23.78/6.37 | % 23.78/6.37 |-The branch is then unsatisfiable % 23.78/6.37 |-Branch two: % 23.78/6.37 | (218) ~ (all_0_24_24 = e1) % 23.78/6.37 | (1082) all_0_24_24 = e0 % 23.78/6.37 | % 23.78/6.37 | From (1082)(1082) and (143) follows: % 23.78/6.37 | (6591) op(e0, e0) = all_0_7_7 % 23.78/6.37 | % 23.78/6.37 | Instantiating formula (58) with e3, e1, e2, all_0_12_12 and discharging atoms op(e3, e1) = all_0_12_12, op(e3, e1) = e2, yields: % 23.78/6.37 | (3783) all_0_12_12 = e2 % 23.78/6.37 | % 23.78/6.37 | Instantiating formula (58) with e0, e0, all_0_7_7, e1 and discharging atoms op(e0, e0) = all_0_7_7, op(e0, e0) = e1, yields: % 23.78/6.37 | (8028) all_0_7_7 = e1 % 23.78/6.37 | % 23.78/6.37 | Instantiating formula (58) with e0, e0, all_0_15_15, all_0_7_7 and discharging atoms op(e0, e0) = all_0_7_7, op(e0, e0) = all_0_15_15, yields: % 23.78/6.37 | (8029) all_0_7_7 = all_0_15_15 % 23.78/6.37 | % 23.78/6.37 | Combining equations (8028,8029) yields a new equation: % 23.78/6.37 | (4970) all_0_15_15 = e1 % 23.78/6.37 | % 23.78/6.37 | Combining equations (4970,8029) yields a new equation: % 23.78/6.37 | (8028) all_0_7_7 = e1 % 23.78/6.37 | % 23.78/6.37 | From (8028) and (72) follows: % 23.78/6.37 | (8032) op(e3, e1) = all_0_6_6 % 23.78/6.37 | % 23.78/6.37 | From (3783) and (2829) follows: % 23.78/6.37 | (7963) op(e3, e1) = e2 % 23.78/6.37 | % 23.78/6.37 +-Applying beta-rule and splitting (148), into two cases. % 23.78/6.37 |-Branch one: % 23.78/6.37 | (3780) ~ (all_0_6_6 = e2) % 23.78/6.37 | % 23.78/6.37 | Instantiating formula (58) with e3, e1, all_0_6_6, e2 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = e2, yields: % 23.78/6.37 | (3781) all_0_6_6 = e2 % 23.78/6.37 | % 23.78/6.37 | Equations (3781) can reduce 3780 to: % 23.78/6.37 | (188) $false % 23.78/6.37 | % 23.78/6.37 |-The branch is then unsatisfiable % 23.78/6.37 |-Branch two: % 23.78/6.37 | (3781) all_0_6_6 = e2 % 23.78/6.37 | (8038) ~ (all_0_7_7 = e1) | ~ (all_0_24_24 = e0) % 23.78/6.37 | % 23.78/6.37 +-Applying beta-rule and splitting (8038), into two cases. % 23.78/6.37 |-Branch one: % 23.78/6.37 | (8039) ~ (all_0_7_7 = e1) % 23.78/6.37 | % 23.78/6.37 | Equations (8028) can reduce 8039 to: % 23.78/6.37 | (188) $false % 23.78/6.37 | % 23.78/6.37 |-The branch is then unsatisfiable % 23.78/6.37 |-Branch two: % 23.78/6.37 | (8028) all_0_7_7 = e1 % 23.78/6.37 | (220) ~ (all_0_24_24 = e0) % 23.78/6.37 | % 23.78/6.37 | Equations (1082) can reduce 220 to: % 23.78/6.37 | (188) $false % 23.78/6.37 | % 23.78/6.37 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (200) ~ (all_0_31_31 = e0) % 23.78/6.38 | (4760) all_0_35_35 = e0 | all_0_39_39 = e0 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (4760), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (401) all_0_35_35 = e0 % 23.78/6.38 | % 23.78/6.38 | Combining equations (394,401) yields a new equation: % 23.78/6.38 | (535) e2 = e0 % 23.78/6.38 | % 23.78/6.38 | Simplifying 535 yields: % 23.78/6.38 | (536) e2 = e0 % 23.78/6.38 | % 23.78/6.38 | Equations (536) can reduce 87 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (201) ~ (all_0_35_35 = e0) % 23.78/6.38 | (198) all_0_39_39 = e0 % 23.78/6.38 | % 23.78/6.38 | Combining equations (198,195) yields a new equation: % 23.78/6.38 | (379) e1 = e0 % 23.78/6.38 | % 23.78/6.38 | Equations (379) can reduce 153 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (227) ~ (all_0_27_27 = e3) % 23.78/6.38 | (331) all_0_31_31 = e3 | all_0_35_35 = e3 | all_0_39_39 = e3 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (331), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (416) all_0_31_31 = e3 % 23.78/6.38 | % 23.78/6.38 | Equations (416) can reduce 419 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (419) ~ (all_0_31_31 = e3) % 23.78/6.38 | (420) all_0_35_35 = e3 | all_0_39_39 = e3 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (420), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (358) all_0_35_35 = e3 % 23.78/6.38 | % 23.78/6.38 | Combining equations (394,358) yields a new equation: % 23.78/6.38 | (333) e3 = e2 % 23.78/6.38 | % 23.78/6.38 | Equations (333) can reduce 62 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (389) ~ (all_0_35_35 = e3) % 23.78/6.38 | (187) all_0_39_39 = e3 % 23.78/6.38 | % 23.78/6.38 | Combining equations (195,187) yields a new equation: % 23.78/6.38 | (387) e3 = e1 % 23.78/6.38 | % 23.78/6.38 | Equations (387) can reduce 74 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (319) ~ (all_0_35_35 = e2) % 23.78/6.38 | (191) all_0_39_39 = e2 % 23.78/6.38 | % 23.78/6.38 | Combining equations (191,195) yields a new equation: % 23.78/6.38 | (484) e2 = e1 % 23.78/6.38 | % 23.78/6.38 | Simplifying 484 yields: % 23.78/6.38 | (343) e2 = e1 % 23.78/6.38 | % 23.78/6.38 | Equations (343) can reduce 128 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (481) ~ (all_0_37_37 = e3) % 23.78/6.38 | (2566) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (80), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (363) all_0_25_25 = e3 % 23.78/6.38 | % 23.78/6.38 | Combining equations (363,342) yields a new equation: % 23.78/6.38 | (492) e3 = e1 % 23.78/6.38 | % 23.78/6.38 | Simplifying 492 yields: % 23.78/6.38 | (387) e3 = e1 % 23.78/6.38 | % 23.78/6.38 | Equations (387) can reduce 74 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (223) ~ (all_0_25_25 = e3) % 23.78/6.38 | (368) all_0_29_29 = e3 | all_0_33_33 = e3 | all_0_37_37 = e3 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (13), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (539) all_0_27_27 = e2 % 23.78/6.38 | % 23.78/6.38 | Equations (539) can reduce 310 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (310) ~ (all_0_27_27 = e2) % 23.78/6.38 | (741) all_0_31_31 = e2 | all_0_35_35 = e2 | all_0_39_39 = e2 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (368), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (287) all_0_29_29 = e3 % 23.78/6.38 | % 23.78/6.38 | Combining equations (291,287) yields a new equation: % 23.78/6.38 | (333) e3 = e2 % 23.78/6.38 | % 23.78/6.38 | Equations (333) can reduce 62 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (246) ~ (all_0_29_29 = e3) % 23.78/6.38 | (373) all_0_33_33 = e3 | all_0_37_37 = e3 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (373), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (374) all_0_33_33 = e3 % 23.78/6.38 | % 23.78/6.38 | Equations (374) can reduce 2 to: % 23.78/6.38 | (231) ~ (all_0_32_32 = e3) % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (741), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (309) all_0_31_31 = e2 % 23.78/6.38 | % 23.78/6.38 | Equations (309) can reduce 817 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (817) ~ (all_0_31_31 = e2) % 23.78/6.38 | (818) all_0_35_35 = e2 | all_0_39_39 = e2 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (818), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (394) all_0_35_35 = e2 % 23.78/6.38 | % 23.78/6.38 | Equations (394) can reduce 89 to: % 23.78/6.38 | (428) ~ (all_0_32_32 = e2) % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (141), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (391) all_0_32_32 = e0 % 23.78/6.38 | % 23.78/6.38 | Equations (391) can reduce 231 to: % 23.78/6.38 | (205) ~ (e3 = e0) % 23.78/6.38 | % 23.78/6.38 | Simplifying 205 yields: % 23.78/6.38 | (79) ~ (e3 = e0) % 23.78/6.38 | % 23.78/6.38 | Equations (391) can reduce 428 to: % 23.78/6.38 | (207) ~ (e2 = e0) % 23.78/6.38 | % 23.78/6.38 | Simplifying 207 yields: % 23.78/6.38 | (87) ~ (e2 = e0) % 23.78/6.38 | % 23.78/6.38 | Equations (391) can reduce 350 to: % 23.78/6.38 | (209) ~ (e1 = e0) % 23.78/6.38 | % 23.78/6.38 | Simplifying 209 yields: % 23.78/6.38 | (153) ~ (e1 = e0) % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (94), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (758) all_0_25_25 = e0 % 23.78/6.38 | % 23.78/6.38 | Combining equations (758,342) yields a new equation: % 23.78/6.38 | (379) e1 = e0 % 23.78/6.38 | % 23.78/6.38 | Equations (379) can reduce 153 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (726) ~ (all_0_25_25 = e0) % 23.78/6.38 | (762) all_0_29_29 = e0 | all_0_33_33 = e0 | all_0_37_37 = e0 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (762), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (306) all_0_29_29 = e0 % 23.78/6.38 | % 23.78/6.38 | Combining equations (291,306) yields a new equation: % 23.78/6.38 | (535) e2 = e0 % 23.78/6.38 | % 23.78/6.38 | Simplifying 535 yields: % 23.78/6.38 | (536) e2 = e0 % 23.78/6.38 | % 23.78/6.38 | Equations (536) can reduce 87 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (286) ~ (all_0_29_29 = e0) % 23.78/6.38 | (790) all_0_33_33 = e0 | all_0_37_37 = e0 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (790), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (882) all_0_33_33 = e0 % 23.78/6.38 | % 23.78/6.38 | Combining equations (374,882) yields a new equation: % 23.78/6.38 | (425) e3 = e0 % 23.78/6.38 | % 23.78/6.38 | Simplifying 425 yields: % 23.78/6.38 | (370) e3 = e0 % 23.78/6.38 | % 23.78/6.38 | Equations (370) can reduce 79 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (885) ~ (all_0_33_33 = e0) % 23.78/6.38 | (886) all_0_37_37 = e0 % 23.78/6.38 | % 23.78/6.38 | Equations (886) can reduce 203 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (403) ~ (all_0_32_32 = e0) % 23.78/6.38 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (404), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (882) all_0_33_33 = e0 % 23.78/6.38 | % 23.78/6.38 | Combining equations (882,374) yields a new equation: % 23.78/6.38 | (370) e3 = e0 % 23.78/6.38 | % 23.78/6.38 | Equations (370) can reduce 79 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (885) ~ (all_0_33_33 = e0) % 23.78/6.38 | (1032) all_0_34_34 = e0 | all_0_35_35 = e0 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (1032), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (620) all_0_34_34 = e0 % 23.78/6.38 | % 23.78/6.38 | Combining equations (256,620) yields a new equation: % 23.78/6.38 | (510) e1 = e0 % 23.78/6.38 | % 23.78/6.38 | Simplifying 510 yields: % 23.78/6.38 | (379) e1 = e0 % 23.78/6.38 | % 23.78/6.38 | Equations (379) can reduce 153 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (245) ~ (all_0_34_34 = e0) % 23.78/6.38 | (401) all_0_35_35 = e0 % 23.78/6.38 | % 23.78/6.38 | Combining equations (394,401) yields a new equation: % 23.78/6.38 | (535) e2 = e0 % 23.78/6.38 | % 23.78/6.38 | Simplifying 535 yields: % 23.78/6.38 | (536) e2 = e0 % 23.78/6.38 | % 23.78/6.38 | Equations (536) can reduce 87 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (319) ~ (all_0_35_35 = e2) % 23.78/6.38 | (191) all_0_39_39 = e2 % 23.78/6.38 | % 23.78/6.38 | Combining equations (191,195) yields a new equation: % 23.78/6.38 | (484) e2 = e1 % 23.78/6.38 | % 23.78/6.38 | Simplifying 484 yields: % 23.78/6.38 | (343) e2 = e1 % 23.78/6.38 | % 23.78/6.38 | Equations (343) can reduce 128 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (359) ~ (all_0_33_33 = e3) % 23.78/6.38 | (377) all_0_37_37 = e3 % 23.78/6.38 | % 23.78/6.38 | Equations (377) can reduce 481 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (828) ~ (all_0_36_36 = e2) % 23.78/6.38 | (829) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (111), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (377) all_0_37_37 = e3 % 23.78/6.38 | % 23.78/6.38 | Equations (377) can reduce 203 to: % 23.78/6.38 | (79) ~ (e3 = e0) % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (162), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (332) all_0_24_24 = e2 % 23.78/6.38 | % 23.78/6.38 | Equations (332) can reduce 219 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (219) ~ (all_0_24_24 = e2) % 23.78/6.38 | (718) all_0_28_28 = e2 | all_0_32_32 = e2 | all_0_36_36 = e2 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (718), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (849) all_0_28_28 = e2 % 23.78/6.38 | % 23.78/6.38 | Combining equations (348,849) yields a new equation: % 23.78/6.38 | (343) e2 = e1 % 23.78/6.38 | % 23.78/6.38 | Equations (343) can reduce 128 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (852) ~ (all_0_28_28 = e2) % 23.78/6.38 | (853) all_0_32_32 = e2 | all_0_36_36 = e2 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (853), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (405) all_0_32_32 = e2 % 23.78/6.38 | % 23.78/6.38 | Equations (405) can reduce 89 to: % 23.78/6.38 | (318) ~ (all_0_35_35 = e2) % 23.78/6.38 | % 23.78/6.38 | Simplifying 318 yields: % 23.78/6.38 | (319) ~ (all_0_35_35 = e2) % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (798), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (557) all_0_30_30 = e0 % 23.78/6.38 | % 23.78/6.38 | Combining equations (561,557) yields a new equation: % 23.78/6.38 | (425) e3 = e0 % 23.78/6.38 | % 23.78/6.38 | Simplifying 425 yields: % 23.78/6.38 | (370) e3 = e0 % 23.78/6.38 | % 23.78/6.38 | Equations (370) can reduce 79 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (313) ~ (all_0_30_30 = e0) % 23.78/6.38 | (938) all_0_31_31 = e0 % 23.78/6.38 | % 23.78/6.38 | Equations (938) can reduce 119 to: % 23.78/6.38 | (199) ~ (all_0_27_27 = e0) % 23.78/6.38 | % 23.78/6.38 | Equations (938) can reduce 147 to: % 23.78/6.38 | (392) ~ (all_0_35_35 = e0) % 23.78/6.38 | % 23.78/6.38 | Simplifying 392 yields: % 23.78/6.38 | (201) ~ (all_0_35_35 = e0) % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (179), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (358) all_0_35_35 = e3 % 23.78/6.38 | % 23.78/6.38 | Equations (358) can reduce 7 to: % 23.78/6.38 | (227) ~ (all_0_27_27 = e3) % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (96), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (328) all_0_27_27 = e3 % 23.78/6.38 | % 23.78/6.38 | Equations (328) can reduce 227 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (227) ~ (all_0_27_27 = e3) % 23.78/6.38 | (922) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (922), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (539) all_0_27_27 = e2 % 23.78/6.38 | % 23.78/6.38 | Equations (539) can reduce 310 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (310) ~ (all_0_27_27 = e2) % 23.78/6.38 | (926) all_0_27_27 = e1 | all_0_27_27 = e0 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (926), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (354) all_0_27_27 = e1 % 23.78/6.38 | % 23.78/6.38 | Equations (354) can reduce 443 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (443) ~ (all_0_27_27 = e1) % 23.78/6.38 | (930) all_0_27_27 = e0 % 23.78/6.38 | % 23.78/6.38 | Equations (930) can reduce 199 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (389) ~ (all_0_35_35 = e3) % 23.78/6.38 | (390) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (390), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (394) all_0_35_35 = e2 % 23.78/6.38 | % 23.78/6.38 | Equations (394) can reduce 319 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (319) ~ (all_0_35_35 = e2) % 23.78/6.38 | (397) all_0_35_35 = e1 | all_0_35_35 = e0 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (397), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (398) all_0_35_35 = e1 % 23.78/6.38 | % 23.78/6.38 | Equations (398) can reduce 261 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (261) ~ (all_0_35_35 = e1) % 23.78/6.38 | (401) all_0_35_35 = e0 % 23.78/6.38 | % 23.78/6.38 | Equations (401) can reduce 201 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (428) ~ (all_0_32_32 = e2) % 23.78/6.38 | (732) all_0_36_36 = e2 % 23.78/6.38 | % 23.78/6.38 | Equations (732) can reduce 828 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (481) ~ (all_0_37_37 = e3) % 23.78/6.38 | (2566) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (2566), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (814) all_0_37_37 = e2 % 23.78/6.38 | % 23.78/6.38 | Equations (814) can reduce 339 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (339) ~ (all_0_37_37 = e2) % 23.78/6.38 | (2755) all_0_37_37 = e1 | all_0_37_37 = e0 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (2755), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (386) all_0_37_37 = e1 % 23.78/6.38 | % 23.78/6.38 | Equations (386) can reduce 504 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (504) ~ (all_0_37_37 = e1) % 23.78/6.38 | (886) all_0_37_37 = e0 % 23.78/6.38 | % 23.78/6.38 | Equations (886) can reduce 203 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (556) ~ (all_0_30_30 = e3) % 23.78/6.38 | (941) all_0_34_34 = e3 | all_0_38_38 = e3 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (798), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (557) all_0_30_30 = e0 % 23.78/6.38 | % 23.78/6.38 | Equations (557) can reduce 313 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (313) ~ (all_0_30_30 = e0) % 23.78/6.38 | (938) all_0_31_31 = e0 % 23.78/6.38 | % 23.78/6.38 | Equations (938) can reduce 119 to: % 23.78/6.38 | (199) ~ (all_0_27_27 = e0) % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (96), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (328) all_0_27_27 = e3 % 23.78/6.38 | % 23.78/6.38 | Equations (328) can reduce 160 to: % 23.78/6.38 | (1876) ~ (all_0_24_24 = e3) % 23.78/6.38 | % 23.78/6.38 | Equations (328) can reduce 443 to: % 23.78/6.38 | (74) ~ (e3 = e1) % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (17), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (221) all_0_24_24 = e3 % 23.78/6.38 | % 23.78/6.38 | Equations (221) can reduce 1876 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (1876) ~ (all_0_24_24 = e3) % 23.78/6.38 | (1877) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (162), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (332) all_0_24_24 = e2 % 23.78/6.38 | % 23.78/6.38 | Equations (332) can reduce 219 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (219) ~ (all_0_24_24 = e2) % 23.78/6.38 | (718) all_0_28_28 = e2 | all_0_32_32 = e2 | all_0_36_36 = e2 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (1877), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (332) all_0_24_24 = e2 % 23.78/6.38 | % 23.78/6.38 | Equations (332) can reduce 219 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (219) ~ (all_0_24_24 = e2) % 23.78/6.38 | (1881) all_0_24_24 = e1 | all_0_24_24 = e0 % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (1881), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (694) all_0_24_24 = e1 % 23.78/6.38 | % 23.78/6.38 | Equations (694) can reduce 218 to: % 23.78/6.38 | (188) $false % 23.78/6.38 | % 23.78/6.38 |-The branch is then unsatisfiable % 23.78/6.38 |-Branch two: % 23.78/6.38 | (218) ~ (all_0_24_24 = e1) % 23.78/6.38 | (1082) all_0_24_24 = e0 % 23.78/6.38 | % 23.78/6.38 | Equations (1082) can reduce 1876 to: % 23.78/6.38 | (205) ~ (e3 = e0) % 23.78/6.38 | % 23.78/6.38 | Simplifying 205 yields: % 23.78/6.38 | (79) ~ (e3 = e0) % 23.78/6.38 | % 23.78/6.38 +-Applying beta-rule and splitting (941), into two cases. % 23.78/6.38 |-Branch one: % 23.78/6.38 | (248) all_0_34_34 = e3 % 23.78/6.38 | % 23.78/6.38 | Combining equations (256,248) yields a new equation: % 23.78/6.38 | (387) e3 = e1 % 23.78/6.38 | % 23.78/6.38 | Equations (387) can reduce 74 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (244) ~ (all_0_34_34 = e3) % 23.78/6.39 | (489) all_0_38_38 = e3 % 23.78/6.39 | % 23.78/6.39 | Combining equations (583,489) yields a new equation: % 23.78/6.39 | (370) e3 = e0 % 23.78/6.39 | % 23.78/6.39 | Equations (370) can reduce 79 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (227) ~ (all_0_27_27 = e3) % 23.78/6.39 | (922) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0 % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (922), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (539) all_0_27_27 = e2 % 23.78/6.39 | % 23.78/6.39 | Equations (539) can reduce 310 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (310) ~ (all_0_27_27 = e2) % 23.78/6.39 | (926) all_0_27_27 = e1 | all_0_27_27 = e0 % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (926), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (354) all_0_27_27 = e1 % 23.78/6.39 | % 23.78/6.39 | Equations (354) can reduce 443 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (443) ~ (all_0_27_27 = e1) % 23.78/6.39 | (930) all_0_27_27 = e0 % 23.78/6.39 | % 23.78/6.39 | Equations (930) can reduce 199 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (538) ~ (all_0_26_26 = e2) % 23.78/6.39 | (1441) all_0_30_30 = e2 | all_0_34_34 = e2 | all_0_38_38 = e2 % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (98), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (732) all_0_36_36 = e2 % 23.78/6.39 | % 23.78/6.39 | Equations (732) can reduce 68 to: % 23.78/6.39 | (219) ~ (all_0_24_24 = e2) % 23.78/6.39 | % 23.78/6.39 | Equations (732) can reduce 11 to: % 23.78/6.39 | (428) ~ (all_0_32_32 = e2) % 23.78/6.39 | % 23.78/6.39 | Equations (732) can reduce 169 to: % 23.78/6.39 | (338) ~ (all_0_37_37 = e2) % 23.78/6.39 | % 23.78/6.39 | Simplifying 338 yields: % 23.78/6.39 | (339) ~ (all_0_37_37 = e2) % 23.78/6.39 | % 23.78/6.39 | Equations (732) can reduce 352 to: % 23.78/6.39 | (128) ~ (e2 = e1) % 23.78/6.39 | % 23.78/6.39 | Equations (732) can reduce 202 to: % 23.78/6.39 | (87) ~ (e2 = e0) % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (107), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (454) all_0_36_36 = e3 % 23.78/6.39 | % 23.78/6.39 | Combining equations (454,732) yields a new equation: % 23.78/6.39 | (364) e3 = e2 % 23.78/6.39 | % 23.78/6.39 | Simplifying 364 yields: % 23.78/6.39 | (333) e3 = e2 % 23.78/6.39 | % 23.78/6.39 | Equations (333) can reduce 62 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (233) ~ (all_0_36_36 = e3) % 23.78/6.39 | (477) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3 % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (768), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (306) all_0_29_29 = e0 % 23.78/6.39 | % 23.78/6.39 | Combining equations (291,306) yields a new equation: % 23.78/6.39 | (535) e2 = e0 % 23.78/6.39 | % 23.78/6.39 | Simplifying 535 yields: % 23.78/6.39 | (536) e2 = e0 % 23.78/6.39 | % 23.78/6.39 | Equations (536) can reduce 87 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (286) ~ (all_0_29_29 = e0) % 23.78/6.39 | (798) all_0_30_30 = e0 | all_0_31_31 = e0 % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (477), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (377) all_0_37_37 = e3 % 23.78/6.39 | % 23.78/6.39 | Equations (377) can reduce 182 to: % 23.78/6.39 | (359) ~ (all_0_33_33 = e3) % 23.78/6.39 | % 23.78/6.39 | Equations (377) can reduce 339 to: % 23.78/6.39 | (62) ~ (e3 = e2) % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (798), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (557) all_0_30_30 = e0 % 23.78/6.39 | % 23.78/6.39 | Equations (557) can reduce 313 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (313) ~ (all_0_30_30 = e0) % 23.78/6.39 | (938) all_0_31_31 = e0 % 23.78/6.39 | % 23.78/6.39 | Equations (938) can reduce 119 to: % 23.78/6.39 | (199) ~ (all_0_27_27 = e0) % 23.78/6.39 | % 23.78/6.39 | Equations (938) can reduce 147 to: % 23.78/6.39 | (392) ~ (all_0_35_35 = e0) % 23.78/6.39 | % 23.78/6.39 | Simplifying 392 yields: % 23.78/6.39 | (201) ~ (all_0_35_35 = e0) % 23.78/6.39 | % 23.78/6.39 | Equations (938) can reduce 487 to: % 23.78/6.39 | (209) ~ (e1 = e0) % 23.78/6.39 | % 23.78/6.39 | Simplifying 209 yields: % 23.78/6.39 | (153) ~ (e1 = e0) % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (66), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (1082) all_0_24_24 = e0 % 23.78/6.39 | % 23.78/6.39 | Equations (1082) can reduce 160 to: % 23.78/6.39 | (322) ~ (all_0_27_27 = e0) % 23.78/6.39 | % 23.78/6.39 | Simplifying 322 yields: % 23.78/6.39 | (199) ~ (all_0_27_27 = e0) % 23.78/6.39 | % 23.78/6.39 | Equations (1082) can reduce 102 to: % 23.78/6.39 | (1376) ~ (all_0_32_32 = e0) % 23.78/6.39 | % 23.78/6.39 | Simplifying 1376 yields: % 23.78/6.39 | (403) ~ (all_0_32_32 = e0) % 23.78/6.39 | % 23.78/6.39 | Equations (1082) can reduce 219 to: % 23.78/6.39 | (207) ~ (e2 = e0) % 23.78/6.39 | % 23.78/6.39 | Simplifying 207 yields: % 23.78/6.39 | (87) ~ (e2 = e0) % 23.78/6.39 | % 23.78/6.39 | Equations (1082) can reduce 218 to: % 23.78/6.39 | (209) ~ (e1 = e0) % 23.78/6.39 | % 23.78/6.39 | Simplifying 209 yields: % 23.78/6.39 | (153) ~ (e1 = e0) % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (4), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (220) ~ (all_0_24_24 = e0) % 23.78/6.39 | % 23.78/6.39 | Equations (1082) can reduce 220 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (1082) all_0_24_24 = e0 % 23.78/6.39 | (328) all_0_27_27 = e3 % 23.78/6.39 | % 23.78/6.39 | Equations (328) can reduce 7 to: % 23.78/6.39 | (1903) ~ (all_0_35_35 = e3) % 23.78/6.39 | % 23.78/6.39 | Simplifying 1903 yields: % 23.78/6.39 | (389) ~ (all_0_35_35 = e3) % 23.78/6.39 | % 23.78/6.39 | Equations (328) can reduce 443 to: % 23.78/6.39 | (74) ~ (e3 = e1) % 23.78/6.39 | % 23.78/6.39 | Equations (328) can reduce 199 to: % 23.78/6.39 | (79) ~ (e3 = e0) % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (179), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (358) all_0_35_35 = e3 % 23.78/6.39 | % 23.78/6.39 | Equations (358) can reduce 389 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (389) ~ (all_0_35_35 = e3) % 23.78/6.39 | (390) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0 % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (94), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (758) all_0_25_25 = e0 % 23.78/6.39 | % 23.78/6.39 | Combining equations (758,342) yields a new equation: % 23.78/6.39 | (379) e1 = e0 % 23.78/6.39 | % 23.78/6.39 | Equations (379) can reduce 153 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (726) ~ (all_0_25_25 = e0) % 23.78/6.39 | (762) all_0_29_29 = e0 | all_0_33_33 = e0 | all_0_37_37 = e0 % 23.78/6.39 | % 23.78/6.39 | Equations (342) can reduce 726 to: % 23.78/6.39 | (153) ~ (e1 = e0) % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (54), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (408) all_0_32_32 = e3 % 23.78/6.39 | % 23.78/6.39 | Equations (408) can reduce 428 to: % 23.78/6.39 | (62) ~ (e3 = e2) % 23.78/6.39 | % 23.78/6.39 | Equations (408) can reduce 403 to: % 23.78/6.39 | (79) ~ (e3 = e0) % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (13), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (539) all_0_27_27 = e2 % 23.78/6.39 | % 23.78/6.39 | Combining equations (328,539) yields a new equation: % 23.78/6.39 | (364) e3 = e2 % 23.78/6.39 | % 23.78/6.39 | Simplifying 364 yields: % 23.78/6.39 | (333) e3 = e2 % 23.78/6.39 | % 23.78/6.39 | Equations (333) can reduce 62 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (310) ~ (all_0_27_27 = e2) % 23.78/6.39 | (741) all_0_31_31 = e2 | all_0_35_35 = e2 | all_0_39_39 = e2 % 23.78/6.39 | % 23.78/6.39 | Equations (328) can reduce 310 to: % 23.78/6.39 | (62) ~ (e3 = e2) % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (141), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (391) all_0_32_32 = e0 % 23.78/6.39 | % 23.78/6.39 | Combining equations (408,391) yields a new equation: % 23.78/6.39 | (425) e3 = e0 % 23.78/6.39 | % 23.78/6.39 | Simplifying 425 yields: % 23.78/6.39 | (370) e3 = e0 % 23.78/6.39 | % 23.78/6.39 | Equations (370) can reduce 79 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (403) ~ (all_0_32_32 = e0) % 23.78/6.39 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (404), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (882) all_0_33_33 = e0 % 23.78/6.39 | % 23.78/6.39 | Equations (882) can reduce 813 to: % 23.78/6.39 | (207) ~ (e2 = e0) % 23.78/6.39 | % 23.78/6.39 | Simplifying 207 yields: % 23.78/6.39 | (87) ~ (e2 = e0) % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (158), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (332) all_0_24_24 = e2 % 23.78/6.39 | % 23.78/6.39 | Combining equations (332,1082) yields a new equation: % 23.78/6.39 | (535) e2 = e0 % 23.78/6.39 | % 23.78/6.39 | Simplifying 535 yields: % 23.78/6.39 | (536) e2 = e0 % 23.78/6.39 | % 23.78/6.39 | Equations (536) can reduce 87 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (219) ~ (all_0_24_24 = e2) % 23.78/6.39 | (336) all_0_25_25 = e2 | all_0_26_26 = e2 | all_0_27_27 = e2 % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (336), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (337) all_0_25_25 = e2 % 23.78/6.39 | % 23.78/6.39 | Combining equations (342,337) yields a new equation: % 23.78/6.39 | (343) e2 = e1 % 23.78/6.39 | % 23.78/6.39 | Equations (343) can reduce 128 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (532) ~ (all_0_25_25 = e2) % 23.78/6.39 | (533) all_0_26_26 = e2 | all_0_27_27 = e2 % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (533), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (534) all_0_26_26 = e2 % 23.78/6.39 | % 23.78/6.39 | Equations (534) can reduce 538 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (538) ~ (all_0_26_26 = e2) % 23.78/6.39 | (539) all_0_27_27 = e2 % 23.78/6.39 | % 23.78/6.39 | Combining equations (328,539) yields a new equation: % 23.78/6.39 | (364) e3 = e2 % 23.78/6.39 | % 23.78/6.39 | Simplifying 364 yields: % 23.78/6.39 | (333) e3 = e2 % 23.78/6.39 | % 23.78/6.39 | Equations (333) can reduce 62 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (885) ~ (all_0_33_33 = e0) % 23.78/6.39 | (1032) all_0_34_34 = e0 | all_0_35_35 = e0 % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (1032), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (620) all_0_34_34 = e0 % 23.78/6.39 | % 23.78/6.39 | Combining equations (256,620) yields a new equation: % 23.78/6.39 | (510) e1 = e0 % 23.78/6.39 | % 23.78/6.39 | Simplifying 510 yields: % 23.78/6.39 | (379) e1 = e0 % 23.78/6.39 | % 23.78/6.39 | Equations (379) can reduce 153 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (245) ~ (all_0_34_34 = e0) % 23.78/6.39 | (401) all_0_35_35 = e0 % 23.78/6.39 | % 23.78/6.39 | Equations (401) can reduce 201 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (231) ~ (all_0_32_32 = e3) % 23.78/6.39 | (413) all_0_33_33 = e3 | all_0_34_34 = e3 | all_0_35_35 = e3 % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (34), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (561) all_0_30_30 = e3 % 23.78/6.39 | % 23.78/6.39 | Equations (561) can reduce 552 to: % 23.78/6.39 | (62) ~ (e3 = e2) % 23.78/6.39 | % 23.78/6.39 | Equations (561) can reduce 258 to: % 23.78/6.39 | (74) ~ (e3 = e1) % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (13), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (539) all_0_27_27 = e2 % 23.78/6.39 | % 23.78/6.39 | Combining equations (328,539) yields a new equation: % 23.78/6.39 | (364) e3 = e2 % 23.78/6.39 | % 23.78/6.39 | Simplifying 364 yields: % 23.78/6.39 | (333) e3 = e2 % 23.78/6.39 | % 23.78/6.39 | Equations (333) can reduce 62 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (310) ~ (all_0_27_27 = e2) % 23.78/6.39 | (741) all_0_31_31 = e2 | all_0_35_35 = e2 | all_0_39_39 = e2 % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (141), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (391) all_0_32_32 = e0 % 23.78/6.39 | % 23.78/6.39 | Equations (391) can reduce 403 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (403) ~ (all_0_32_32 = e0) % 23.78/6.39 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (741), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (309) all_0_31_31 = e2 % 23.78/6.39 | % 23.78/6.39 | Combining equations (938,309) yields a new equation: % 23.78/6.39 | (536) e2 = e0 % 23.78/6.39 | % 23.78/6.39 | Equations (536) can reduce 87 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (817) ~ (all_0_31_31 = e2) % 23.78/6.39 | (818) all_0_35_35 = e2 | all_0_39_39 = e2 % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (818), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (394) all_0_35_35 = e2 % 23.78/6.39 | % 23.78/6.39 | Equations (394) can reduce 389 to: % 23.78/6.39 | (340) ~ (e3 = e2) % 23.78/6.39 | % 23.78/6.39 | Simplifying 340 yields: % 23.78/6.39 | (62) ~ (e3 = e2) % 23.78/6.39 | % 23.78/6.39 | Equations (394) can reduce 201 to: % 23.78/6.39 | (87) ~ (e2 = e0) % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (404), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (882) all_0_33_33 = e0 % 23.78/6.39 | % 23.78/6.39 | Equations (882) can reduce 359 to: % 23.78/6.39 | (205) ~ (e3 = e0) % 23.78/6.39 | % 23.78/6.39 | Simplifying 205 yields: % 23.78/6.39 | (79) ~ (e3 = e0) % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (413), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (374) all_0_33_33 = e3 % 23.78/6.39 | % 23.78/6.39 | Combining equations (882,374) yields a new equation: % 23.78/6.39 | (370) e3 = e0 % 23.78/6.39 | % 23.78/6.39 | Equations (370) can reduce 79 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (359) ~ (all_0_33_33 = e3) % 23.78/6.39 | (1510) all_0_34_34 = e3 | all_0_35_35 = e3 % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (1510), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (248) all_0_34_34 = e3 % 23.78/6.39 | % 23.78/6.39 | Combining equations (256,248) yields a new equation: % 23.78/6.39 | (387) e3 = e1 % 23.78/6.39 | % 23.78/6.39 | Equations (387) can reduce 74 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (244) ~ (all_0_34_34 = e3) % 23.78/6.39 | (358) all_0_35_35 = e3 % 23.78/6.39 | % 23.78/6.39 | Combining equations (394,358) yields a new equation: % 23.78/6.39 | (333) e3 = e2 % 23.78/6.39 | % 23.78/6.39 | Equations (333) can reduce 62 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (885) ~ (all_0_33_33 = e0) % 23.78/6.39 | (1032) all_0_34_34 = e0 | all_0_35_35 = e0 % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (1032), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (620) all_0_34_34 = e0 % 23.78/6.39 | % 23.78/6.39 | Combining equations (620,256) yields a new equation: % 23.78/6.39 | (379) e1 = e0 % 23.78/6.39 | % 23.78/6.39 | Equations (379) can reduce 153 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (245) ~ (all_0_34_34 = e0) % 23.78/6.39 | (401) all_0_35_35 = e0 % 23.78/6.39 | % 23.78/6.39 | Combining equations (394,401) yields a new equation: % 23.78/6.39 | (535) e2 = e0 % 23.78/6.39 | % 23.78/6.39 | Simplifying 535 yields: % 23.78/6.39 | (536) e2 = e0 % 23.78/6.39 | % 23.78/6.39 | Equations (536) can reduce 87 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (319) ~ (all_0_35_35 = e2) % 23.78/6.39 | (191) all_0_39_39 = e2 % 23.78/6.39 | % 23.78/6.39 | Combining equations (191,195) yields a new equation: % 23.78/6.39 | (484) e2 = e1 % 23.78/6.39 | % 23.78/6.39 | Simplifying 484 yields: % 23.78/6.39 | (343) e2 = e1 % 23.78/6.39 | % 23.78/6.39 | Equations (343) can reduce 128 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (556) ~ (all_0_30_30 = e3) % 23.78/6.39 | (564) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0 % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (13), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (539) all_0_27_27 = e2 % 23.78/6.39 | % 23.78/6.39 | Combining equations (539,328) yields a new equation: % 23.78/6.39 | (333) e3 = e2 % 23.78/6.39 | % 23.78/6.39 | Equations (333) can reduce 62 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (310) ~ (all_0_27_27 = e2) % 23.78/6.39 | (741) all_0_31_31 = e2 | all_0_35_35 = e2 | all_0_39_39 = e2 % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (104), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (654) all_0_28_28 = e3 % 23.78/6.39 | % 23.78/6.39 | Combining equations (348,654) yields a new equation: % 23.78/6.39 | (387) e3 = e1 % 23.78/6.39 | % 23.78/6.39 | Equations (387) can reduce 74 to: % 23.78/6.39 | (188) $false % 23.78/6.39 | % 23.78/6.39 |-The branch is then unsatisfiable % 23.78/6.39 |-Branch two: % 23.78/6.39 | (229) ~ (all_0_28_28 = e3) % 23.78/6.39 | (657) all_0_29_29 = e3 | all_0_30_30 = e3 | all_0_31_31 = e3 % 23.78/6.39 | % 23.78/6.39 +-Applying beta-rule and splitting (741), into two cases. % 23.78/6.39 |-Branch one: % 23.78/6.39 | (309) all_0_31_31 = e2 % 23.78/6.39 | % 23.78/6.39 | Combining equations (309,938) yields a new equation: % 23.78/6.39 | (535) e2 = e0 % 24.10/6.39 | % 24.10/6.39 | Simplifying 535 yields: % 24.10/6.39 | (536) e2 = e0 % 24.10/6.39 | % 24.10/6.39 | Equations (536) can reduce 87 to: % 24.10/6.39 | (188) $false % 24.10/6.39 | % 24.10/6.39 |-The branch is then unsatisfiable % 24.10/6.39 |-Branch two: % 24.10/6.39 | (817) ~ (all_0_31_31 = e2) % 24.10/6.39 | (818) all_0_35_35 = e2 | all_0_39_39 = e2 % 24.10/6.39 | % 24.10/6.39 +-Applying beta-rule and splitting (818), into two cases. % 24.10/6.39 |-Branch one: % 24.10/6.39 | (394) all_0_35_35 = e2 % 24.10/6.39 | % 24.10/6.39 | Equations (394) can reduce 389 to: % 24.10/6.39 | (340) ~ (e3 = e2) % 24.10/6.39 | % 24.10/6.39 | Simplifying 340 yields: % 24.10/6.39 | (62) ~ (e3 = e2) % 24.10/6.39 | % 24.10/6.39 +-Applying beta-rule and splitting (657), into two cases. % 24.10/6.39 |-Branch one: % 24.10/6.39 | (287) all_0_29_29 = e3 % 24.10/6.39 | % 24.10/6.39 | Combining equations (291,287) yields a new equation: % 24.10/6.39 | (333) e3 = e2 % 24.10/6.39 | % 24.10/6.39 | Equations (333) can reduce 62 to: % 24.10/6.39 | (188) $false % 24.10/6.39 | % 24.10/6.39 |-The branch is then unsatisfiable % 24.10/6.39 |-Branch two: % 24.10/6.39 | (246) ~ (all_0_29_29 = e3) % 24.10/6.39 | (661) all_0_30_30 = e3 | all_0_31_31 = e3 % 24.10/6.39 | % 24.10/6.39 +-Applying beta-rule and splitting (661), into two cases. % 24.10/6.39 |-Branch one: % 24.10/6.39 | (561) all_0_30_30 = e3 % 24.10/6.39 | % 24.10/6.39 | Equations (561) can reduce 556 to: % 24.10/6.39 | (188) $false % 24.10/6.39 | % 24.10/6.39 |-The branch is then unsatisfiable % 24.10/6.39 |-Branch two: % 24.10/6.39 | (556) ~ (all_0_30_30 = e3) % 24.10/6.39 | (416) all_0_31_31 = e3 % 24.10/6.39 | % 24.10/6.39 | Combining equations (938,416) yields a new equation: % 24.10/6.39 | (370) e3 = e0 % 24.10/6.39 | % 24.10/6.39 | Equations (370) can reduce 79 to: % 24.10/6.39 | (188) $false % 24.10/6.39 | % 24.10/6.39 |-The branch is then unsatisfiable % 24.10/6.39 |-Branch two: % 24.10/6.39 | (319) ~ (all_0_35_35 = e2) % 24.10/6.39 | (191) all_0_39_39 = e2 % 24.10/6.39 | % 24.10/6.39 | Combining equations (195,191) yields a new equation: % 24.10/6.39 | (343) e2 = e1 % 24.10/6.39 | % 24.10/6.39 | Equations (343) can reduce 128 to: % 24.10/6.39 | (188) $false % 24.10/6.39 | % 24.10/6.39 |-The branch is then unsatisfiable % 24.10/6.39 |-Branch two: % 24.10/6.39 | (220) ~ (all_0_24_24 = e0) % 24.10/6.40 | (1087) all_0_25_25 = e0 | all_0_26_26 = e0 | all_0_27_27 = e0 % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (158), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (332) all_0_24_24 = e2 % 24.10/6.40 | % 24.10/6.40 | Equations (332) can reduce 219 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (219) ~ (all_0_24_24 = e2) % 24.10/6.40 | (336) all_0_25_25 = e2 | all_0_26_26 = e2 | all_0_27_27 = e2 % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (1087), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (758) all_0_25_25 = e0 % 24.10/6.40 | % 24.10/6.40 | Combining equations (758,342) yields a new equation: % 24.10/6.40 | (379) e1 = e0 % 24.10/6.40 | % 24.10/6.40 | Equations (379) can reduce 153 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (726) ~ (all_0_25_25 = e0) % 24.10/6.40 | (1317) all_0_26_26 = e0 | all_0_27_27 = e0 % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (336), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (337) all_0_25_25 = e2 % 24.10/6.40 | % 24.10/6.40 | Combining equations (337,342) yields a new equation: % 24.10/6.40 | (484) e2 = e1 % 24.10/6.40 | % 24.10/6.40 | Simplifying 484 yields: % 24.10/6.40 | (343) e2 = e1 % 24.10/6.40 | % 24.10/6.40 | Equations (343) can reduce 128 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (532) ~ (all_0_25_25 = e2) % 24.10/6.40 | (533) all_0_26_26 = e2 | all_0_27_27 = e2 % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (533), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (534) all_0_26_26 = e2 % 24.10/6.40 | % 24.10/6.40 | Equations (534) can reduce 538 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (538) ~ (all_0_26_26 = e2) % 24.10/6.40 | (539) all_0_27_27 = e2 % 24.10/6.40 | % 24.10/6.40 | Equations (539) can reduce 199 to: % 24.10/6.40 | (87) ~ (e2 = e0) % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (1317), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (321) all_0_26_26 = e0 % 24.10/6.40 | % 24.10/6.40 | Equations (321) can reduce 541 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (541) ~ (all_0_26_26 = e0) % 24.10/6.40 | (930) all_0_27_27 = e0 % 24.10/6.40 | % 24.10/6.40 | Combining equations (930,539) yields a new equation: % 24.10/6.40 | (536) e2 = e0 % 24.10/6.40 | % 24.10/6.40 | Equations (536) can reduce 87 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (481) ~ (all_0_37_37 = e3) % 24.10/6.40 | (482) all_0_38_38 = e3 | all_0_39_39 = e3 % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (482), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (489) all_0_38_38 = e3 % 24.10/6.40 | % 24.10/6.40 | Combining equations (583,489) yields a new equation: % 24.10/6.40 | (370) e3 = e0 % 24.10/6.40 | % 24.10/6.40 | Equations (370) can reduce 79 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (499) ~ (all_0_38_38 = e3) % 24.10/6.40 | (187) all_0_39_39 = e3 % 24.10/6.40 | % 24.10/6.40 | Combining equations (187,195) yields a new equation: % 24.10/6.40 | (492) e3 = e1 % 24.10/6.40 | % 24.10/6.40 | Simplifying 492 yields: % 24.10/6.40 | (387) e3 = e1 % 24.10/6.40 | % 24.10/6.40 | Equations (387) can reduce 74 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (828) ~ (all_0_36_36 = e2) % 24.10/6.40 | (829) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2 % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (768), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (306) all_0_29_29 = e0 % 24.10/6.40 | % 24.10/6.40 | Combining equations (291,306) yields a new equation: % 24.10/6.40 | (535) e2 = e0 % 24.10/6.40 | % 24.10/6.40 | Simplifying 535 yields: % 24.10/6.40 | (536) e2 = e0 % 24.10/6.40 | % 24.10/6.40 | Equations (536) can reduce 87 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (286) ~ (all_0_29_29 = e0) % 24.10/6.40 | (798) all_0_30_30 = e0 | all_0_31_31 = e0 % 24.10/6.40 | % 24.10/6.40 | Equations (291) can reduce 286 to: % 24.10/6.40 | (87) ~ (e2 = e0) % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (829), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (814) all_0_37_37 = e2 % 24.10/6.40 | % 24.10/6.40 | Equations (814) can reduce 339 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (339) ~ (all_0_37_37 = e2) % 24.10/6.40 | (2054) all_0_38_38 = e2 | all_0_39_39 = e2 % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (2054), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (576) all_0_38_38 = e2 % 24.10/6.40 | % 24.10/6.40 | Combining equations (583,576) yields a new equation: % 24.10/6.40 | (536) e2 = e0 % 24.10/6.40 | % 24.10/6.40 | Equations (536) can reduce 87 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (554) ~ (all_0_38_38 = e2) % 24.10/6.40 | (191) all_0_39_39 = e2 % 24.10/6.40 | % 24.10/6.40 | Combining equations (191,195) yields a new equation: % 24.10/6.40 | (484) e2 = e1 % 24.10/6.40 | % 24.10/6.40 | Simplifying 484 yields: % 24.10/6.40 | (343) e2 = e1 % 24.10/6.40 | % 24.10/6.40 | Equations (343) can reduce 128 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (301) ~ (all_0_29_29 = e2) % 24.10/6.40 | (302) all_0_29_29 = e1 | all_0_29_29 = e0 % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (302), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (303) all_0_29_29 = e1 % 24.10/6.40 | % 24.10/6.40 | Equations (303) can reduce 183 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (183) ~ (all_0_29_29 = e1) % 24.10/6.40 | (306) all_0_29_29 = e0 % 24.10/6.40 | % 24.10/6.40 | Equations (306) can reduce 286 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (287) all_0_29_29 = e3 % 24.10/6.40 | (849) all_0_28_28 = e2 % 24.10/6.40 | % 24.10/6.40 | Combining equations (348,849) yields a new equation: % 24.10/6.40 | (343) e2 = e1 % 24.10/6.40 | % 24.10/6.40 | Equations (343) can reduce 128 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (518) ~ (all_0_28_28 = e1) % 24.10/6.40 | (519) all_0_29_29 = e1 | all_0_30_30 = e1 | all_0_31_31 = e1 % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (519), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (303) all_0_29_29 = e1 % 24.10/6.40 | % 24.10/6.40 | Equations (303) can reduce 183 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (183) ~ (all_0_29_29 = e1) % 24.10/6.40 | (524) all_0_30_30 = e1 | all_0_31_31 = e1 % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (524), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (525) all_0_30_30 = e1 % 24.10/6.40 | % 24.10/6.40 | Equations (525) can reduce 258 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (258) ~ (all_0_30_30 = e1) % 24.10/6.40 | (483) all_0_31_31 = e1 % 24.10/6.40 | % 24.10/6.40 | Equations (483) can reduce 487 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (345) ~ (all_0_25_25 = e1) % 24.10/6.40 | (950) all_0_26_26 = e1 | all_0_27_27 = e1 % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (950), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (587) all_0_26_26 = e1 % 24.10/6.40 | % 24.10/6.40 | Equations (587) can reduce 257 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (257) ~ (all_0_26_26 = e1) % 24.10/6.40 | (354) all_0_27_27 = e1 % 24.10/6.40 | % 24.10/6.40 | Equations (354) can reduce 443 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (619) ~ (all_0_34_34 = e1) % 24.10/6.40 | (620) all_0_34_34 = e0 % 24.10/6.40 | % 24.10/6.40 | Equations (620) can reduce 245 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (248) all_0_34_34 = e3 % 24.10/6.40 | (438) all_0_32_32 = e1 % 24.10/6.40 | % 24.10/6.40 | Combining equations (248,7879) yields a new equation: % 24.10/6.40 | (6266) all_0_1_1 = e3 % 24.10/6.40 | % 24.10/6.40 | Equations (248) can reduce 131 to: % 24.10/6.40 | (225) ~ (all_0_26_26 = e3) % 24.10/6.40 | % 24.10/6.40 | Equations (438) can reduce 95 to: % 24.10/6.40 | (518) ~ (all_0_28_28 = e1) % 24.10/6.40 | % 24.10/6.40 | Equations (438) can reduce 2 to: % 24.10/6.40 | (2305) ~ (all_0_33_33 = e1) % 24.10/6.40 | % 24.10/6.40 | Simplifying 2305 yields: % 24.10/6.40 | (259) ~ (all_0_33_33 = e1) % 24.10/6.40 | % 24.10/6.40 | Equations (438,248) can reduce 166 to: % 24.10/6.40 | (691) ~ (e3 = e1) % 24.10/6.40 | % 24.10/6.40 | Simplifying 691 yields: % 24.10/6.40 | (74) ~ (e3 = e1) % 24.10/6.40 | % 24.10/6.40 | Equations (438) can reduce 89 to: % 24.10/6.40 | (260) ~ (all_0_35_35 = e1) % 24.10/6.40 | % 24.10/6.40 | Simplifying 260 yields: % 24.10/6.40 | (261) ~ (all_0_35_35 = e1) % 24.10/6.40 | % 24.10/6.40 | Equations (438) can reduce 11 to: % 24.10/6.40 | (351) ~ (all_0_36_36 = e1) % 24.10/6.40 | % 24.10/6.40 | Simplifying 351 yields: % 24.10/6.40 | (352) ~ (all_0_36_36 = e1) % 24.10/6.40 | % 24.10/6.40 | Equations (248) can reduce 49 to: % 24.10/6.40 | (1903) ~ (all_0_35_35 = e3) % 24.10/6.40 | % 24.10/6.40 | Simplifying 1903 yields: % 24.10/6.40 | (389) ~ (all_0_35_35 = e3) % 24.10/6.40 | % 24.10/6.40 | From (248) and (7880) follows: % 24.10/6.40 | (6267) op(e0, e3) = all_0_0_0 % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (120), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (5461) ~ (all_0_0_0 = e2) % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (22), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (342) all_0_25_25 = e1 % 24.10/6.40 | % 24.10/6.40 | Equations (342) can reduce 149 to: % 24.10/6.40 | (218) ~ (all_0_24_24 = e1) % 24.10/6.40 | % 24.10/6.40 | Equations (342) can reduce 71 to: % 24.10/6.40 | (2303) ~ (all_0_26_26 = e1) % 24.10/6.40 | % 24.10/6.40 | Simplifying 2303 yields: % 24.10/6.40 | (257) ~ (all_0_26_26 = e1) % 24.10/6.40 | % 24.10/6.40 | Equations (342) can reduce 130 to: % 24.10/6.40 | (3584) ~ (all_0_27_27 = e1) % 24.10/6.40 | % 24.10/6.40 | Simplifying 3584 yields: % 24.10/6.40 | (443) ~ (all_0_27_27 = e1) % 24.10/6.40 | % 24.10/6.40 | Equations (342) can reduce 114 to: % 24.10/6.40 | (2305) ~ (all_0_33_33 = e1) % 24.10/6.40 | % 24.10/6.40 | Simplifying 2305 yields: % 24.10/6.40 | (259) ~ (all_0_33_33 = e1) % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (140), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (587) all_0_26_26 = e1 % 24.10/6.40 | % 24.10/6.40 | Equations (587) can reduce 257 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (257) ~ (all_0_26_26 = e1) % 24.10/6.40 | (2494) all_0_30_30 = e1 | all_0_34_34 = e1 | all_0_38_38 = e1 % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (94), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (758) all_0_25_25 = e0 % 24.10/6.40 | % 24.10/6.40 | Combining equations (342,758) yields a new equation: % 24.10/6.40 | (510) e1 = e0 % 24.10/6.40 | % 24.10/6.40 | Simplifying 510 yields: % 24.10/6.40 | (379) e1 = e0 % 24.10/6.40 | % 24.10/6.40 | Equations (379) can reduce 153 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (726) ~ (all_0_25_25 = e0) % 24.10/6.40 | (762) all_0_29_29 = e0 | all_0_33_33 = e0 | all_0_37_37 = e0 % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (70), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (543) all_0_26_26 = e3 % 24.10/6.40 | % 24.10/6.40 | Equations (543) can reduce 225 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (225) ~ (all_0_26_26 = e3) % 24.10/6.40 | (546) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0 % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (546), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (534) all_0_26_26 = e2 % 24.10/6.40 | % 24.10/6.40 | Equations (534) can reduce 60 to: % 24.10/6.40 | (219) ~ (all_0_24_24 = e2) % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (762), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (306) all_0_29_29 = e0 % 24.10/6.40 | % 24.10/6.40 | Equations (306) can reduce 286 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (286) ~ (all_0_29_29 = e0) % 24.10/6.40 | (790) all_0_33_33 = e0 | all_0_37_37 = e0 % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (790), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (882) all_0_33_33 = e0 % 24.10/6.40 | % 24.10/6.40 | Equations (882) can reduce 106 to: % 24.10/6.40 | (392) ~ (all_0_35_35 = e0) % 24.10/6.40 | % 24.10/6.40 | Simplifying 392 yields: % 24.10/6.40 | (201) ~ (all_0_35_35 = e0) % 24.10/6.40 | % 24.10/6.40 | Equations (882) can reduce 259 to: % 24.10/6.40 | (209) ~ (e1 = e0) % 24.10/6.40 | % 24.10/6.40 | Simplifying 209 yields: % 24.10/6.40 | (153) ~ (e1 = e0) % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (2494), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (525) all_0_30_30 = e1 % 24.10/6.40 | % 24.10/6.40 | Equations (525) can reduce 133 to: % 24.10/6.40 | (183) ~ (all_0_29_29 = e1) % 24.10/6.40 | % 24.10/6.40 | Equations (525) can reduce 168 to: % 24.10/6.40 | (722) ~ (all_0_31_31 = e1) % 24.10/6.40 | % 24.10/6.40 | Simplifying 722 yields: % 24.10/6.40 | (487) ~ (all_0_31_31 = e1) % 24.10/6.40 | % 24.10/6.40 | Equations (525) can reduce 313 to: % 24.10/6.40 | (153) ~ (e1 = e0) % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (179), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (358) all_0_35_35 = e3 % 24.10/6.40 | % 24.10/6.40 | Equations (358) can reduce 389 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (389) ~ (all_0_35_35 = e3) % 24.10/6.40 | (390) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0 % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (390), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (394) all_0_35_35 = e2 % 24.10/6.40 | % 24.10/6.40 | Equations (394) can reduce 7 to: % 24.10/6.40 | (310) ~ (all_0_27_27 = e2) % 24.10/6.40 | % 24.10/6.40 | Equations (394) can reduce 147 to: % 24.10/6.40 | (817) ~ (all_0_31_31 = e2) % 24.10/6.40 | % 24.10/6.40 | Equations (394) can reduce 261 to: % 24.10/6.40 | (128) ~ (e2 = e1) % 24.10/6.40 | % 24.10/6.40 | Equations (394) can reduce 201 to: % 24.10/6.40 | (87) ~ (e2 = e0) % 24.10/6.40 | % 24.10/6.40 | Instantiating formula (58) with e0, e3, all_0_0_0, all_0_36_36 and discharging atoms op(e0, e3) = all_0_0_0, op(e0, e3) = all_0_36_36, yields: % 24.10/6.40 | (8608) all_0_0_0 = all_0_36_36 % 24.10/6.40 | % 24.10/6.40 | Equations (8608) can reduce 5461 to: % 24.10/6.40 | (828) ~ (all_0_36_36 = e2) % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (162), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (332) all_0_24_24 = e2 % 24.10/6.40 | % 24.10/6.40 | Equations (332) can reduce 219 to: % 24.10/6.40 | (188) $false % 24.10/6.40 | % 24.10/6.40 |-The branch is then unsatisfiable % 24.10/6.40 |-Branch two: % 24.10/6.40 | (219) ~ (all_0_24_24 = e2) % 24.10/6.40 | (718) all_0_28_28 = e2 | all_0_32_32 = e2 | all_0_36_36 = e2 % 24.10/6.40 | % 24.10/6.40 +-Applying beta-rule and splitting (97), into two cases. % 24.10/6.40 |-Branch one: % 24.10/6.40 | (454) all_0_36_36 = e3 % 24.10/6.40 | % 24.10/6.41 | Equations (454) can reduce 68 to: % 24.10/6.41 | (1876) ~ (all_0_24_24 = e3) % 24.10/6.41 | % 24.10/6.41 | Equations (454) can reduce 169 to: % 24.10/6.41 | (1388) ~ (all_0_37_37 = e3) % 24.10/6.41 | % 24.10/6.41 | Simplifying 1388 yields: % 24.10/6.41 | (481) ~ (all_0_37_37 = e3) % 24.10/6.41 | % 24.10/6.41 | Equations (454) can reduce 828 to: % 24.10/6.41 | (62) ~ (e3 = e2) % 24.10/6.41 | % 24.10/6.41 | Equations (454) can reduce 352 to: % 24.10/6.41 | (74) ~ (e3 = e1) % 24.10/6.41 | % 24.10/6.41 | Equations (454) can reduce 202 to: % 24.10/6.41 | (79) ~ (e3 = e0) % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (111), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (377) all_0_37_37 = e3 % 24.10/6.41 | % 24.10/6.41 | Equations (377) can reduce 481 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (481) ~ (all_0_37_37 = e3) % 24.10/6.41 | (2566) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0 % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (59), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (221) all_0_24_24 = e3 % 24.10/6.41 | % 24.10/6.41 | Equations (221) can reduce 1876 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (1876) ~ (all_0_24_24 = e3) % 24.10/6.41 | (8628) all_0_25_25 = e3 | all_0_26_26 = e3 | all_0_27_27 = e3 % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (2566), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (814) all_0_37_37 = e2 % 24.10/6.41 | % 24.10/6.41 | Equations (814) can reduce 35 to: % 24.10/6.41 | (301) ~ (all_0_29_29 = e2) % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (17), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (221) all_0_24_24 = e3 % 24.10/6.41 | % 24.10/6.41 | Equations (221) can reduce 1876 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (1876) ~ (all_0_24_24 = e3) % 24.10/6.41 | (1877) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0 % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (1877), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (332) all_0_24_24 = e2 % 24.10/6.41 | % 24.10/6.41 | Equations (332) can reduce 219 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (219) ~ (all_0_24_24 = e2) % 24.10/6.41 | (1881) all_0_24_24 = e1 | all_0_24_24 = e0 % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (78), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (287) all_0_29_29 = e3 % 24.10/6.41 | % 24.10/6.41 | Equations (287) can reduce 118 to: % 24.10/6.41 | (229) ~ (all_0_28_28 = e3) % 24.10/6.41 | % 24.10/6.41 | Equations (287) can reduce 183 to: % 24.10/6.41 | (74) ~ (e3 = e1) % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (1881), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (694) all_0_24_24 = e1 % 24.10/6.41 | % 24.10/6.41 | Equations (694) can reduce 218 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (218) ~ (all_0_24_24 = e1) % 24.10/6.41 | (1082) all_0_24_24 = e0 % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (164), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (246) ~ (all_0_29_29 = e3) % 24.10/6.41 | % 24.10/6.41 | Equations (287) can reduce 246 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (287) all_0_29_29 = e3 % 24.10/6.41 | (849) all_0_28_28 = e2 % 24.10/6.41 | % 24.10/6.41 | Equations (849) can reduce 30 to: % 24.10/6.41 | (1045) ~ (all_0_31_31 = e2) % 24.10/6.41 | % 24.10/6.41 | Simplifying 1045 yields: % 24.10/6.41 | (817) ~ (all_0_31_31 = e2) % 24.10/6.41 | % 24.10/6.41 | Equations (849) can reduce 229 to: % 24.10/6.41 | (340) ~ (e3 = e2) % 24.10/6.41 | % 24.10/6.41 | Simplifying 340 yields: % 24.10/6.41 | (62) ~ (e3 = e2) % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (8628), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (363) all_0_25_25 = e3 % 24.10/6.41 | % 24.10/6.41 | Combining equations (342,363) yields a new equation: % 24.10/6.41 | (387) e3 = e1 % 24.10/6.41 | % 24.10/6.41 | Equations (387) can reduce 74 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (223) ~ (all_0_25_25 = e3) % 24.10/6.41 | (8658) all_0_26_26 = e3 | all_0_27_27 = e3 % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (8658), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (543) all_0_26_26 = e3 % 24.10/6.41 | % 24.10/6.41 | Combining equations (534,543) yields a new equation: % 24.10/6.41 | (333) e3 = e2 % 24.10/6.41 | % 24.10/6.41 | Equations (333) can reduce 62 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (225) ~ (all_0_26_26 = e3) % 24.10/6.41 | (328) all_0_27_27 = e3 % 24.10/6.41 | % 24.10/6.41 | Equations (328) can reduce 119 to: % 24.10/6.41 | (711) ~ (all_0_31_31 = e3) % 24.10/6.41 | % 24.10/6.41 | Simplifying 711 yields: % 24.10/6.41 | (419) ~ (all_0_31_31 = e3) % 24.10/6.41 | % 24.10/6.41 | Equations (328) can reduce 310 to: % 24.10/6.41 | (62) ~ (e3 = e2) % 24.10/6.41 | % 24.10/6.41 | Equations (328) can reduce 443 to: % 24.10/6.41 | (74) ~ (e3 = e1) % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (10), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (416) all_0_31_31 = e3 % 24.10/6.41 | % 24.10/6.41 | Equations (416) can reduce 419 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (419) ~ (all_0_31_31 = e3) % 24.10/6.41 | (967) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0 % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (967), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (309) all_0_31_31 = e2 % 24.10/6.41 | % 24.10/6.41 | Equations (309) can reduce 817 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (817) ~ (all_0_31_31 = e2) % 24.10/6.41 | (996) all_0_31_31 = e1 | all_0_31_31 = e0 % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (996), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (483) all_0_31_31 = e1 % 24.10/6.41 | % 24.10/6.41 | Equations (483) can reduce 487 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (487) ~ (all_0_31_31 = e1) % 24.10/6.41 | (938) all_0_31_31 = e0 % 24.10/6.41 | % 24.10/6.41 | Equations (938) can reduce 419 to: % 24.10/6.41 | (205) ~ (e3 = e0) % 24.10/6.41 | % 24.10/6.41 | Simplifying 205 yields: % 24.10/6.41 | (79) ~ (e3 = e0) % 24.10/6.41 | % 24.10/6.41 | Equations (938) can reduce 487 to: % 24.10/6.41 | (209) ~ (e1 = e0) % 24.10/6.41 | % 24.10/6.41 | Simplifying 209 yields: % 24.10/6.41 | (153) ~ (e1 = e0) % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (67), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (221) all_0_24_24 = e3 % 24.10/6.41 | % 24.10/6.41 | Combining equations (221,1082) yields a new equation: % 24.10/6.41 | (425) e3 = e0 % 24.10/6.41 | % 24.10/6.41 | Simplifying 425 yields: % 24.10/6.41 | (370) e3 = e0 % 24.10/6.41 | % 24.10/6.41 | Equations (370) can reduce 79 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (1876) ~ (all_0_24_24 = e3) % 24.10/6.41 | (5657) all_0_29_29 = e2 | all_0_34_34 = e1 | all_0_39_39 = e0 % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (5657), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (291) all_0_29_29 = e2 % 24.10/6.41 | % 24.10/6.41 | Combining equations (287,291) yields a new equation: % 24.10/6.41 | (364) e3 = e2 % 24.10/6.41 | % 24.10/6.41 | Simplifying 364 yields: % 24.10/6.41 | (333) e3 = e2 % 24.10/6.41 | % 24.10/6.41 | Equations (333) can reduce 62 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (301) ~ (all_0_29_29 = e2) % 24.10/6.41 | (5663) all_0_34_34 = e1 | all_0_39_39 = e0 % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (5663), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (256) all_0_34_34 = e1 % 24.10/6.41 | % 24.10/6.41 | Combining equations (248,256) yields a new equation: % 24.10/6.41 | (492) e3 = e1 % 24.10/6.41 | % 24.10/6.41 | Simplifying 492 yields: % 24.10/6.41 | (387) e3 = e1 % 24.10/6.41 | % 24.10/6.41 | Equations (387) can reduce 74 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (619) ~ (all_0_34_34 = e1) % 24.10/6.41 | (198) all_0_39_39 = e0 % 24.10/6.41 | % 24.10/6.41 | Combining equations (195,198) yields a new equation: % 24.10/6.41 | (510) e1 = e0 % 24.10/6.41 | % 24.10/6.41 | Simplifying 510 yields: % 24.10/6.41 | (379) e1 = e0 % 24.10/6.41 | % 24.10/6.41 | Equations (379) can reduce 153 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (246) ~ (all_0_29_29 = e3) % 24.10/6.41 | (290) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0 % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (290), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (291) all_0_29_29 = e2 % 24.10/6.41 | % 24.10/6.41 | Equations (291) can reduce 301 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (301) ~ (all_0_29_29 = e2) % 24.10/6.41 | (302) all_0_29_29 = e1 | all_0_29_29 = e0 % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (1881), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (694) all_0_24_24 = e1 % 24.10/6.41 | % 24.10/6.41 | Equations (694) can reduce 218 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (218) ~ (all_0_24_24 = e1) % 24.10/6.41 | (1082) all_0_24_24 = e0 % 24.10/6.41 | % 24.10/6.41 | Equations (1082) can reduce 1876 to: % 24.10/6.41 | (205) ~ (e3 = e0) % 24.10/6.41 | % 24.10/6.41 | Simplifying 205 yields: % 24.10/6.41 | (79) ~ (e3 = e0) % 24.10/6.41 | % 24.10/6.41 | Equations (1082) can reduce 218 to: % 24.10/6.41 | (209) ~ (e1 = e0) % 24.10/6.41 | % 24.10/6.41 | Simplifying 209 yields: % 24.10/6.41 | (153) ~ (e1 = e0) % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (67), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (221) all_0_24_24 = e3 % 24.10/6.41 | % 24.10/6.41 | Combining equations (1082,221) yields a new equation: % 24.10/6.41 | (370) e3 = e0 % 24.10/6.41 | % 24.10/6.41 | Equations (370) can reduce 79 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (1876) ~ (all_0_24_24 = e3) % 24.10/6.41 | (5657) all_0_29_29 = e2 | all_0_34_34 = e1 | all_0_39_39 = e0 % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (5657), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (291) all_0_29_29 = e2 % 24.10/6.41 | % 24.10/6.41 | Equations (291) can reduce 301 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (301) ~ (all_0_29_29 = e2) % 24.10/6.41 | (5663) all_0_34_34 = e1 | all_0_39_39 = e0 % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (5663), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (256) all_0_34_34 = e1 % 24.10/6.41 | % 24.10/6.41 | Combining equations (248,256) yields a new equation: % 24.10/6.41 | (492) e3 = e1 % 24.10/6.41 | % 24.10/6.41 | Simplifying 492 yields: % 24.10/6.41 | (387) e3 = e1 % 24.10/6.41 | % 24.10/6.41 | Equations (387) can reduce 74 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (619) ~ (all_0_34_34 = e1) % 24.10/6.41 | (198) all_0_39_39 = e0 % 24.10/6.41 | % 24.10/6.41 | Combining equations (195,198) yields a new equation: % 24.10/6.41 | (510) e1 = e0 % 24.10/6.41 | % 24.10/6.41 | Simplifying 510 yields: % 24.10/6.41 | (379) e1 = e0 % 24.10/6.41 | % 24.10/6.41 | Equations (379) can reduce 153 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (339) ~ (all_0_37_37 = e2) % 24.10/6.41 | (2755) all_0_37_37 = e1 | all_0_37_37 = e0 % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (8628), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (363) all_0_25_25 = e3 % 24.10/6.41 | % 24.10/6.41 | Combining equations (342,363) yields a new equation: % 24.10/6.41 | (387) e3 = e1 % 24.10/6.41 | % 24.10/6.41 | Equations (387) can reduce 74 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (223) ~ (all_0_25_25 = e3) % 24.10/6.41 | (8658) all_0_26_26 = e3 | all_0_27_27 = e3 % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (98), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (732) all_0_36_36 = e2 % 24.10/6.41 | % 24.10/6.41 | Combining equations (732,454) yields a new equation: % 24.10/6.41 | (333) e3 = e2 % 24.10/6.41 | % 24.10/6.41 | Equations (333) can reduce 62 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (828) ~ (all_0_36_36 = e2) % 24.10/6.41 | (829) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2 % 24.10/6.41 | % 24.10/6.41 | Equations (454) can reduce 828 to: % 24.10/6.41 | (62) ~ (e3 = e2) % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (8658), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (543) all_0_26_26 = e3 % 24.10/6.41 | % 24.10/6.41 | Combining equations (534,543) yields a new equation: % 24.10/6.41 | (333) e3 = e2 % 24.10/6.41 | % 24.10/6.41 | Equations (333) can reduce 62 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (225) ~ (all_0_26_26 = e3) % 24.10/6.41 | (328) all_0_27_27 = e3 % 24.10/6.41 | % 24.10/6.41 | Equations (328) can reduce 119 to: % 24.10/6.41 | (711) ~ (all_0_31_31 = e3) % 24.10/6.41 | % 24.10/6.41 | Simplifying 711 yields: % 24.10/6.41 | (419) ~ (all_0_31_31 = e3) % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (38), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (930) all_0_27_27 = e0 % 24.10/6.41 | % 24.10/6.41 | Combining equations (930,328) yields a new equation: % 24.10/6.41 | (370) e3 = e0 % 24.10/6.41 | % 24.10/6.41 | Equations (370) can reduce 79 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (199) ~ (all_0_27_27 = e0) % 24.10/6.41 | (4595) all_0_31_31 = e0 | all_0_35_35 = e0 | all_0_39_39 = e0 % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (4595), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (938) all_0_31_31 = e0 % 24.10/6.41 | % 24.10/6.41 | Equations (938) can reduce 419 to: % 24.10/6.41 | (205) ~ (e3 = e0) % 24.10/6.41 | % 24.10/6.41 | Simplifying 205 yields: % 24.10/6.41 | (79) ~ (e3 = e0) % 24.10/6.41 | % 24.10/6.41 | Equations (938) can reduce 817 to: % 24.10/6.41 | (207) ~ (e2 = e0) % 24.10/6.41 | % 24.10/6.41 | Simplifying 207 yields: % 24.10/6.41 | (87) ~ (e2 = e0) % 24.10/6.41 | % 24.10/6.41 | Equations (938) can reduce 487 to: % 24.10/6.41 | (209) ~ (e1 = e0) % 24.10/6.41 | % 24.10/6.41 | Simplifying 209 yields: % 24.10/6.41 | (153) ~ (e1 = e0) % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (66), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (1082) all_0_24_24 = e0 % 24.10/6.41 | % 24.10/6.41 | Equations (1082) can reduce 219 to: % 24.10/6.41 | (207) ~ (e2 = e0) % 24.10/6.41 | % 24.10/6.41 | Simplifying 207 yields: % 24.10/6.41 | (87) ~ (e2 = e0) % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (829), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (814) all_0_37_37 = e2 % 24.10/6.41 | % 24.10/6.41 | Equations (814) can reduce 339 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (339) ~ (all_0_37_37 = e2) % 24.10/6.41 | (2054) all_0_38_38 = e2 | all_0_39_39 = e2 % 24.10/6.41 | % 24.10/6.41 +-Applying beta-rule and splitting (2054), into two cases. % 24.10/6.41 |-Branch one: % 24.10/6.41 | (576) all_0_38_38 = e2 % 24.10/6.41 | % 24.10/6.41 | Combining equations (583,576) yields a new equation: % 24.10/6.41 | (536) e2 = e0 % 24.10/6.41 | % 24.10/6.41 | Equations (536) can reduce 87 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.41 |-Branch two: % 24.10/6.41 | (554) ~ (all_0_38_38 = e2) % 24.10/6.41 | (191) all_0_39_39 = e2 % 24.10/6.41 | % 24.10/6.41 | Combining equations (191,195) yields a new equation: % 24.10/6.41 | (484) e2 = e1 % 24.10/6.41 | % 24.10/6.41 | Simplifying 484 yields: % 24.10/6.41 | (343) e2 = e1 % 24.10/6.41 | % 24.10/6.41 | Equations (343) can reduce 128 to: % 24.10/6.41 | (188) $false % 24.10/6.41 | % 24.10/6.41 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (220) ~ (all_0_24_24 = e0) % 24.10/6.42 | (1087) all_0_25_25 = e0 | all_0_26_26 = e0 | all_0_27_27 = e0 % 24.10/6.42 | % 24.10/6.42 +-Applying beta-rule and splitting (1087), into two cases. % 24.10/6.42 |-Branch one: % 24.10/6.42 | (758) all_0_25_25 = e0 % 24.10/6.42 | % 24.10/6.42 | Combining equations (342,758) yields a new equation: % 24.10/6.42 | (510) e1 = e0 % 24.10/6.42 | % 24.10/6.42 | Simplifying 510 yields: % 24.10/6.42 | (379) e1 = e0 % 24.10/6.42 | % 24.10/6.42 | Equations (379) can reduce 153 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (726) ~ (all_0_25_25 = e0) % 24.10/6.42 | (1317) all_0_26_26 = e0 | all_0_27_27 = e0 % 24.10/6.42 | % 24.10/6.42 +-Applying beta-rule and splitting (1317), into two cases. % 24.10/6.42 |-Branch one: % 24.10/6.42 | (321) all_0_26_26 = e0 % 24.10/6.42 | % 24.10/6.42 | Combining equations (534,321) yields a new equation: % 24.10/6.42 | (535) e2 = e0 % 24.10/6.42 | % 24.10/6.42 | Simplifying 535 yields: % 24.10/6.42 | (536) e2 = e0 % 24.10/6.42 | % 24.10/6.42 | Equations (536) can reduce 87 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (541) ~ (all_0_26_26 = e0) % 24.10/6.42 | (930) all_0_27_27 = e0 % 24.10/6.42 | % 24.10/6.42 | Combining equations (328,930) yields a new equation: % 24.10/6.42 | (425) e3 = e0 % 24.10/6.42 | % 24.10/6.42 | Simplifying 425 yields: % 24.10/6.42 | (370) e3 = e0 % 24.10/6.42 | % 24.10/6.42 | Equations (370) can reduce 79 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (200) ~ (all_0_31_31 = e0) % 24.10/6.42 | (4760) all_0_35_35 = e0 | all_0_39_39 = e0 % 24.10/6.42 | % 24.10/6.42 +-Applying beta-rule and splitting (4760), into two cases. % 24.10/6.42 |-Branch one: % 24.10/6.42 | (401) all_0_35_35 = e0 % 24.10/6.42 | % 24.10/6.42 | Combining equations (401,394) yields a new equation: % 24.10/6.42 | (536) e2 = e0 % 24.10/6.42 | % 24.10/6.42 | Equations (536) can reduce 87 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (201) ~ (all_0_35_35 = e0) % 24.10/6.42 | (198) all_0_39_39 = e0 % 24.10/6.42 | % 24.10/6.42 | Combining equations (198,195) yields a new equation: % 24.10/6.42 | (379) e1 = e0 % 24.10/6.42 | % 24.10/6.42 | Equations (379) can reduce 153 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (233) ~ (all_0_36_36 = e3) % 24.10/6.42 | (457) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0 % 24.10/6.42 | % 24.10/6.42 +-Applying beta-rule and splitting (98), into two cases. % 24.10/6.42 |-Branch one: % 24.10/6.42 | (732) all_0_36_36 = e2 % 24.10/6.42 | % 24.10/6.42 | Equations (732) can reduce 828 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (828) ~ (all_0_36_36 = e2) % 24.10/6.42 | (829) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2 % 24.10/6.42 | % 24.10/6.42 +-Applying beta-rule and splitting (457), into two cases. % 24.10/6.42 |-Branch one: % 24.10/6.42 | (732) all_0_36_36 = e2 % 24.10/6.42 | % 24.10/6.42 | Equations (732) can reduce 828 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (828) ~ (all_0_36_36 = e2) % 24.10/6.42 | (1147) all_0_36_36 = e1 | all_0_36_36 = e0 % 24.10/6.42 | % 24.10/6.42 +-Applying beta-rule and splitting (1147), into two cases. % 24.10/6.42 |-Branch one: % 24.10/6.42 | (445) all_0_36_36 = e1 % 24.10/6.42 | % 24.10/6.42 | Equations (445) can reduce 352 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (352) ~ (all_0_36_36 = e1) % 24.10/6.42 | (1232) all_0_36_36 = e0 % 24.10/6.42 | % 24.10/6.42 | Equations (1232) can reduce 202 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (319) ~ (all_0_35_35 = e2) % 24.10/6.42 | (397) all_0_35_35 = e1 | all_0_35_35 = e0 % 24.10/6.42 | % 24.10/6.42 +-Applying beta-rule and splitting (397), into two cases. % 24.10/6.42 |-Branch one: % 24.10/6.42 | (398) all_0_35_35 = e1 % 24.10/6.42 | % 24.10/6.42 | Equations (398) can reduce 261 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (261) ~ (all_0_35_35 = e1) % 24.10/6.42 | (401) all_0_35_35 = e0 % 24.10/6.42 | % 24.10/6.42 | Equations (401) can reduce 201 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (258) ~ (all_0_30_30 = e1) % 24.10/6.42 | (4962) all_0_34_34 = e1 | all_0_38_38 = e1 % 24.10/6.42 | % 24.10/6.42 +-Applying beta-rule and splitting (4962), into two cases. % 24.10/6.42 |-Branch one: % 24.10/6.42 | (256) all_0_34_34 = e1 % 24.10/6.42 | % 24.10/6.42 | Combining equations (256,248) yields a new equation: % 24.10/6.42 | (387) e3 = e1 % 24.10/6.42 | % 24.10/6.42 | Equations (387) can reduce 74 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (619) ~ (all_0_34_34 = e1) % 24.10/6.42 | (506) all_0_38_38 = e1 % 24.10/6.42 | % 24.10/6.42 | Combining equations (583,506) yields a new equation: % 24.10/6.42 | (379) e1 = e0 % 24.10/6.42 | % 24.10/6.42 | Equations (379) can reduce 153 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (885) ~ (all_0_33_33 = e0) % 24.10/6.42 | (886) all_0_37_37 = e0 % 24.10/6.42 | % 24.10/6.42 | Equations (886) can reduce 203 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (538) ~ (all_0_26_26 = e2) % 24.10/6.42 | (586) all_0_26_26 = e1 | all_0_26_26 = e0 % 24.10/6.42 | % 24.10/6.42 +-Applying beta-rule and splitting (586), into two cases. % 24.10/6.42 |-Branch one: % 24.10/6.42 | (587) all_0_26_26 = e1 % 24.10/6.42 | % 24.10/6.42 | Equations (587) can reduce 257 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (257) ~ (all_0_26_26 = e1) % 24.10/6.42 | (321) all_0_26_26 = e0 % 24.10/6.42 | % 24.10/6.42 | Equations (321) can reduce 541 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (345) ~ (all_0_25_25 = e1) % 24.10/6.42 | (346) all_0_29_29 = e1 | all_0_33_33 = e1 | all_0_37_37 = e1 % 24.10/6.42 | % 24.10/6.42 +-Applying beta-rule and splitting (16), into two cases. % 24.10/6.42 |-Branch one: % 24.10/6.42 | (348) all_0_28_28 = e1 % 24.10/6.42 | % 24.10/6.42 | Equations (348) can reduce 518 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (518) ~ (all_0_28_28 = e1) % 24.10/6.42 | (519) all_0_29_29 = e1 | all_0_30_30 = e1 | all_0_31_31 = e1 % 24.10/6.42 | % 24.10/6.42 +-Applying beta-rule and splitting (519), into two cases. % 24.10/6.42 |-Branch one: % 24.10/6.42 | (303) all_0_29_29 = e1 % 24.10/6.42 | % 24.10/6.42 | Equations (303) can reduce 183 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (183) ~ (all_0_29_29 = e1) % 24.10/6.42 | (524) all_0_30_30 = e1 | all_0_31_31 = e1 % 24.10/6.42 | % 24.10/6.42 +-Applying beta-rule and splitting (346), into two cases. % 24.10/6.42 |-Branch one: % 24.10/6.42 | (303) all_0_29_29 = e1 % 24.10/6.42 | % 24.10/6.42 | Equations (303) can reduce 183 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (183) ~ (all_0_29_29 = e1) % 24.10/6.42 | (382) all_0_33_33 = e1 | all_0_37_37 = e1 % 24.10/6.42 | % 24.10/6.42 +-Applying beta-rule and splitting (382), into two cases. % 24.10/6.42 |-Branch one: % 24.10/6.42 | (383) all_0_33_33 = e1 % 24.10/6.42 | % 24.10/6.42 | Equations (383) can reduce 259 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (259) ~ (all_0_33_33 = e1) % 24.10/6.42 | (386) all_0_37_37 = e1 % 24.10/6.42 | % 24.10/6.42 | Equations (386) can reduce 504 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (5792) all_0_0_0 = e2 % 24.10/6.42 | (8871) ~ (all_0_1_1 = e3) | ~ (all_0_39_39 = e1) % 24.10/6.42 | % 24.10/6.42 +-Applying beta-rule and splitting (8871), into two cases. % 24.10/6.42 |-Branch one: % 24.10/6.42 | (6273) ~ (all_0_1_1 = e3) % 24.10/6.42 | % 24.10/6.42 | Equations (6266) can reduce 6273 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (6266) all_0_1_1 = e3 % 24.10/6.42 | (184) ~ (all_0_39_39 = e1) % 24.10/6.42 | % 24.10/6.42 | Equations (195) can reduce 184 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (694) all_0_24_24 = e1 % 24.10/6.42 | (543) all_0_26_26 = e3 % 24.10/6.42 | % 24.10/6.42 | Equations (694) can reduce 149 to: % 24.10/6.42 | (3582) ~ (all_0_25_25 = e1) % 24.10/6.42 | % 24.10/6.42 | Simplifying 3582 yields: % 24.10/6.42 | (345) ~ (all_0_25_25 = e1) % 24.10/6.42 | % 24.10/6.42 | Equations (543) can reduce 131 to: % 24.10/6.42 | (1986) ~ (all_0_34_34 = e3) % 24.10/6.42 | % 24.10/6.42 | Simplifying 1986 yields: % 24.10/6.42 | (244) ~ (all_0_34_34 = e3) % 24.10/6.42 | % 24.10/6.42 +-Applying beta-rule and splitting (22), into two cases. % 24.10/6.42 |-Branch one: % 24.10/6.42 | (342) all_0_25_25 = e1 % 24.10/6.42 | % 24.10/6.42 | Equations (342) can reduce 345 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (345) ~ (all_0_25_25 = e1) % 24.10/6.42 | (346) all_0_29_29 = e1 | all_0_33_33 = e1 | all_0_37_37 = e1 % 24.10/6.42 | % 24.10/6.42 +-Applying beta-rule and splitting (346), into two cases. % 24.10/6.42 |-Branch one: % 24.10/6.42 | (303) all_0_29_29 = e1 % 24.10/6.42 | % 24.10/6.42 | Equations (303) can reduce 183 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (183) ~ (all_0_29_29 = e1) % 24.10/6.42 | (382) all_0_33_33 = e1 | all_0_37_37 = e1 % 24.10/6.42 | % 24.10/6.42 +-Applying beta-rule and splitting (382), into two cases. % 24.10/6.42 |-Branch one: % 24.10/6.42 | (383) all_0_33_33 = e1 % 24.10/6.42 | % 24.10/6.42 | Equations (383) can reduce 20 to: % 24.10/6.42 | (1194) ~ (all_0_34_34 = e1) % 24.10/6.42 | % 24.10/6.42 | Simplifying 1194 yields: % 24.10/6.42 | (619) ~ (all_0_34_34 = e1) % 24.10/6.42 | % 24.10/6.42 +-Applying beta-rule and splitting (135), into two cases. % 24.10/6.42 |-Branch one: % 24.10/6.42 | (248) all_0_34_34 = e3 % 24.10/6.42 | % 24.10/6.42 | Equations (248) can reduce 244 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (244) ~ (all_0_34_34 = e3) % 24.10/6.42 | (251) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0 % 24.10/6.42 | % 24.10/6.42 +-Applying beta-rule and splitting (251), into two cases. % 24.10/6.42 |-Branch one: % 24.10/6.42 | (252) all_0_34_34 = e2 % 24.10/6.42 | % 24.10/6.42 | Equations (252) can reduce 247 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (247) ~ (all_0_34_34 = e2) % 24.10/6.42 | (255) all_0_34_34 = e1 | all_0_34_34 = e0 % 24.10/6.42 | % 24.10/6.42 +-Applying beta-rule and splitting (255), into two cases. % 24.10/6.42 |-Branch one: % 24.10/6.42 | (256) all_0_34_34 = e1 % 24.10/6.42 | % 24.10/6.42 | Equations (256) can reduce 619 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (619) ~ (all_0_34_34 = e1) % 24.10/6.42 | (620) all_0_34_34 = e0 % 24.10/6.42 | % 24.10/6.42 | Equations (620) can reduce 245 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (259) ~ (all_0_33_33 = e1) % 24.10/6.42 | (386) all_0_37_37 = e1 % 24.10/6.42 | % 24.10/6.42 | Equations (386) can reduce 504 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (306) all_0_29_29 = e0 % 24.10/6.42 | (309) all_0_31_31 = e2 % 24.10/6.42 | % 24.10/6.42 | Equations (306) can reduce 47 to: % 24.10/6.42 | (726) ~ (all_0_25_25 = e0) % 24.10/6.42 | % 24.10/6.42 | Equations (309) can reduce 119 to: % 24.10/6.42 | (310) ~ (all_0_27_27 = e2) % 24.10/6.42 | % 24.10/6.42 | Equations (306) can reduce 118 to: % 24.10/6.42 | (311) ~ (all_0_28_28 = e0) % 24.10/6.42 | % 24.10/6.42 | Equations (309) can reduce 30 to: % 24.10/6.42 | (852) ~ (all_0_28_28 = e2) % 24.10/6.42 | % 24.10/6.42 | Equations (306) can reduce 133 to: % 24.10/6.42 | (312) ~ (all_0_30_30 = e0) % 24.10/6.42 | % 24.10/6.42 | Simplifying 312 yields: % 24.10/6.42 | (313) ~ (all_0_30_30 = e0) % 24.10/6.42 | % 24.10/6.42 | Equations (306) can reduce 108 to: % 24.10/6.42 | (2274) ~ (all_0_33_33 = e0) % 24.10/6.42 | % 24.10/6.42 | Simplifying 2274 yields: % 24.10/6.42 | (885) ~ (all_0_33_33 = e0) % 24.10/6.42 | % 24.10/6.42 | Equations (309) can reduce 168 to: % 24.10/6.42 | (552) ~ (all_0_30_30 = e2) % 24.10/6.42 | % 24.10/6.42 | Equations (309) can reduce 147 to: % 24.10/6.42 | (318) ~ (all_0_35_35 = e2) % 24.10/6.42 | % 24.10/6.42 | Simplifying 318 yields: % 24.10/6.42 | (319) ~ (all_0_35_35 = e2) % 24.10/6.42 | % 24.10/6.42 | From (306)(306) and (45) follows: % 24.10/6.42 | (4419) op(e0, e0) = all_0_5_5 % 24.10/6.42 | % 24.10/6.42 +-Applying beta-rule and splitting (6), into two cases. % 24.10/6.42 |-Branch one: % 24.10/6.42 | (534) all_0_26_26 = e2 % 24.10/6.42 | % 24.10/6.42 | Equations (534) can reduce 71 to: % 24.10/6.42 | (532) ~ (all_0_25_25 = e2) % 24.10/6.42 | % 24.10/6.42 | Equations (534) can reduce 18 to: % 24.10/6.42 | (5078) ~ (all_0_27_27 = e2) % 24.10/6.42 | % 24.10/6.42 | Simplifying 5078 yields: % 24.10/6.42 | (310) ~ (all_0_27_27 = e2) % 24.10/6.42 | % 24.10/6.42 | Equations (534) can reduce 131 to: % 24.10/6.42 | (3653) ~ (all_0_34_34 = e2) % 24.10/6.42 | % 24.10/6.42 | Simplifying 3653 yields: % 24.10/6.42 | (247) ~ (all_0_34_34 = e2) % 24.10/6.42 | % 24.10/6.42 | Equations (534) can reduce 541 to: % 24.10/6.42 | (87) ~ (e2 = e0) % 24.10/6.42 | % 24.10/6.42 +-Applying beta-rule and splitting (132), into two cases. % 24.10/6.42 |-Branch one: % 24.10/6.42 | (218) ~ (all_0_24_24 = e1) % 24.10/6.42 | % 24.10/6.42 +-Applying beta-rule and splitting (126), into two cases. % 24.10/6.42 |-Branch one: % 24.10/6.42 | (694) all_0_24_24 = e1 % 24.10/6.42 | % 24.10/6.42 | Equations (694) can reduce 218 to: % 24.10/6.42 | (188) $false % 24.10/6.42 | % 24.10/6.42 |-The branch is then unsatisfiable % 24.10/6.42 |-Branch two: % 24.10/6.42 | (218) ~ (all_0_24_24 = e1) % 24.10/6.42 | (946) all_0_25_25 = e1 | all_0_26_26 = e1 | all_0_27_27 = e1 % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (946), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (342) all_0_25_25 = e1 % 24.10/6.43 | % 24.10/6.43 | Equations (342) can reduce 532 to: % 24.10/6.43 | (264) ~ (e2 = e1) % 24.10/6.43 | % 24.10/6.43 | Simplifying 264 yields: % 24.10/6.43 | (128) ~ (e2 = e1) % 24.10/6.43 | % 24.10/6.43 | From (342) and (112) follows: % 24.10/6.43 | (2312) op(e2, e1) = all_0_9_9 % 24.10/6.43 | % 24.10/6.43 | Instantiating formula (58) with e2, e1, all_0_9_9, all_0_30_30 and discharging atoms op(e2, e1) = all_0_9_9, op(e2, e1) = all_0_30_30, yields: % 24.10/6.43 | (2318) all_0_9_9 = all_0_30_30 % 24.10/6.43 | % 24.10/6.43 | Instantiating formula (58) with e0, e0, all_0_5_5, e1 and discharging atoms op(e0, e0) = all_0_5_5, op(e0, e0) = e1, yields: % 24.10/6.43 | (4126) all_0_5_5 = e1 % 24.10/6.43 | % 24.10/6.43 | From (4126) and (5) follows: % 24.10/6.43 | (4130) op(e2, e1) = all_0_4_4 % 24.10/6.43 | % 24.10/6.43 | From (2318) and (2312) follows: % 24.10/6.43 | (122) op(e2, e1) = all_0_30_30 % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (127), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (8944) ~ (all_0_4_4 = e3) % 24.10/6.43 | % 24.10/6.43 | Instantiating formula (58) with e2, e1, all_0_4_4, all_0_30_30 and discharging atoms op(e2, e1) = all_0_4_4, op(e2, e1) = all_0_30_30, yields: % 24.10/6.43 | (8945) all_0_4_4 = all_0_30_30 % 24.10/6.43 | % 24.10/6.43 | Equations (8945) can reduce 8944 to: % 24.10/6.43 | (556) ~ (all_0_30_30 = e3) % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (174), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (543) all_0_26_26 = e3 % 24.10/6.43 | % 24.10/6.43 | Combining equations (534,543) yields a new equation: % 24.10/6.43 | (333) e3 = e2 % 24.10/6.43 | % 24.10/6.43 | Equations (333) can reduce 62 to: % 24.10/6.43 | (188) $false % 24.10/6.43 | % 24.10/6.43 |-The branch is then unsatisfiable % 24.10/6.43 |-Branch two: % 24.10/6.43 | (225) ~ (all_0_26_26 = e3) % 24.10/6.43 | (683) all_0_30_30 = e3 | all_0_34_34 = e3 | all_0_38_38 = e3 % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (683), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (561) all_0_30_30 = e3 % 24.10/6.43 | % 24.10/6.43 | Equations (561) can reduce 556 to: % 24.10/6.43 | (188) $false % 24.10/6.43 | % 24.10/6.43 |-The branch is then unsatisfiable % 24.10/6.43 |-Branch two: % 24.10/6.43 | (556) ~ (all_0_30_30 = e3) % 24.10/6.43 | (941) all_0_34_34 = e3 | all_0_38_38 = e3 % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (941), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (248) all_0_34_34 = e3 % 24.10/6.43 | % 24.10/6.43 | Equations (248) can reduce 166 to: % 24.10/6.43 | (231) ~ (all_0_32_32 = e3) % 24.10/6.43 | % 24.10/6.43 | Equations (248) can reduce 20 to: % 24.10/6.43 | (359) ~ (all_0_33_33 = e3) % 24.10/6.43 | % 24.10/6.43 | Equations (248) can reduce 49 to: % 24.10/6.43 | (1903) ~ (all_0_35_35 = e3) % 24.10/6.43 | % 24.10/6.43 | Simplifying 1903 yields: % 24.10/6.43 | (389) ~ (all_0_35_35 = e3) % 24.10/6.43 | % 24.10/6.43 | Equations (248) can reduce 247 to: % 24.10/6.43 | (62) ~ (e3 = e2) % 24.10/6.43 | % 24.10/6.43 | Equations (248) can reduce 245 to: % 24.10/6.43 | (79) ~ (e3 = e0) % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (80), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (363) all_0_25_25 = e3 % 24.10/6.43 | % 24.10/6.43 | Combining equations (342,363) yields a new equation: % 24.10/6.43 | (387) e3 = e1 % 24.10/6.43 | % 24.10/6.43 | Equations (387) can reduce 74 to: % 24.10/6.43 | (188) $false % 24.10/6.43 | % 24.10/6.43 |-The branch is then unsatisfiable % 24.10/6.43 |-Branch two: % 24.10/6.43 | (223) ~ (all_0_25_25 = e3) % 24.10/6.43 | (368) all_0_29_29 = e3 | all_0_33_33 = e3 | all_0_37_37 = e3 % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (368), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (287) all_0_29_29 = e3 % 24.10/6.43 | % 24.10/6.43 | Combining equations (306,287) yields a new equation: % 24.10/6.43 | (370) e3 = e0 % 24.10/6.43 | % 24.10/6.43 | Equations (370) can reduce 79 to: % 24.10/6.43 | (188) $false % 24.10/6.43 | % 24.10/6.43 |-The branch is then unsatisfiable % 24.10/6.43 |-Branch two: % 24.10/6.43 | (246) ~ (all_0_29_29 = e3) % 24.10/6.43 | (373) all_0_33_33 = e3 | all_0_37_37 = e3 % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (373), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (374) all_0_33_33 = e3 % 24.10/6.43 | % 24.10/6.43 | Equations (374) can reduce 359 to: % 24.10/6.43 | (188) $false % 24.10/6.43 | % 24.10/6.43 |-The branch is then unsatisfiable % 24.10/6.43 |-Branch two: % 24.10/6.43 | (359) ~ (all_0_33_33 = e3) % 24.10/6.43 | (377) all_0_37_37 = e3 % 24.10/6.43 | % 24.10/6.43 | Equations (377) can reduce 182 to: % 24.10/6.43 | (359) ~ (all_0_33_33 = e3) % 24.10/6.43 | % 24.10/6.43 | Equations (377) can reduce 169 to: % 24.10/6.43 | (233) ~ (all_0_36_36 = e3) % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (154), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (244) ~ (all_0_34_34 = e3) % 24.10/6.43 | % 24.10/6.43 | Equations (248) can reduce 244 to: % 24.10/6.43 | (188) $false % 24.10/6.43 | % 24.10/6.43 |-The branch is then unsatisfiable % 24.10/6.43 |-Branch two: % 24.10/6.43 | (248) all_0_34_34 = e3 % 24.10/6.43 | (438) all_0_32_32 = e1 % 24.10/6.43 | % 24.10/6.43 | Equations (438) can reduce 102 to: % 24.10/6.43 | (218) ~ (all_0_24_24 = e1) % 24.10/6.43 | % 24.10/6.43 | Equations (438) can reduce 95 to: % 24.10/6.43 | (518) ~ (all_0_28_28 = e1) % 24.10/6.43 | % 24.10/6.43 | Equations (438) can reduce 2 to: % 24.10/6.43 | (2305) ~ (all_0_33_33 = e1) % 24.10/6.43 | % 24.10/6.43 | Simplifying 2305 yields: % 24.10/6.43 | (259) ~ (all_0_33_33 = e1) % 24.10/6.43 | % 24.10/6.43 | Equations (438) can reduce 89 to: % 24.10/6.43 | (260) ~ (all_0_35_35 = e1) % 24.10/6.43 | % 24.10/6.43 | Simplifying 260 yields: % 24.10/6.43 | (261) ~ (all_0_35_35 = e1) % 24.10/6.43 | % 24.10/6.43 | Equations (438) can reduce 231 to: % 24.10/6.43 | (691) ~ (e3 = e1) % 24.10/6.43 | % 24.10/6.43 | Simplifying 691 yields: % 24.10/6.43 | (74) ~ (e3 = e1) % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (179), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (358) all_0_35_35 = e3 % 24.10/6.43 | % 24.10/6.43 | Equations (358) can reduce 389 to: % 24.10/6.43 | (188) $false % 24.10/6.43 | % 24.10/6.43 |-The branch is then unsatisfiable % 24.10/6.43 |-Branch two: % 24.10/6.43 | (389) ~ (all_0_35_35 = e3) % 24.10/6.43 | (390) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0 % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (98), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (732) all_0_36_36 = e2 % 24.10/6.43 | % 24.10/6.43 | Equations (732) can reduce 68 to: % 24.10/6.43 | (219) ~ (all_0_24_24 = e2) % 24.10/6.43 | % 24.10/6.43 | Equations (732) can reduce 52 to: % 24.10/6.43 | (852) ~ (all_0_28_28 = e2) % 24.10/6.43 | % 24.10/6.43 | Equations (732) can reduce 233 to: % 24.10/6.43 | (340) ~ (e3 = e2) % 24.10/6.43 | % 24.10/6.43 | Simplifying 340 yields: % 24.10/6.43 | (62) ~ (e3 = e2) % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (55), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (328) all_0_27_27 = e3 % 24.10/6.43 | % 24.10/6.43 | Equations (328) can reduce 160 to: % 24.10/6.43 | (1876) ~ (all_0_24_24 = e3) % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (33), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (374) all_0_33_33 = e3 % 24.10/6.43 | % 24.10/6.43 | Equations (374) can reduce 359 to: % 24.10/6.43 | (188) $false % 24.10/6.43 | % 24.10/6.43 |-The branch is then unsatisfiable % 24.10/6.43 |-Branch two: % 24.10/6.43 | (359) ~ (all_0_33_33 = e3) % 24.10/6.43 | (2357) all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0 % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (2357), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (810) all_0_33_33 = e2 % 24.10/6.43 | % 24.10/6.43 | Equations (810) can reduce 106 to: % 24.10/6.43 | (318) ~ (all_0_35_35 = e2) % 24.10/6.43 | % 24.10/6.43 | Simplifying 318 yields: % 24.10/6.43 | (319) ~ (all_0_35_35 = e2) % 24.10/6.43 | % 24.10/6.43 | Equations (810) can reduce 259 to: % 24.10/6.43 | (128) ~ (e2 = e1) % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (17), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (221) all_0_24_24 = e3 % 24.10/6.43 | % 24.10/6.43 | Equations (221) can reduce 1876 to: % 24.10/6.43 | (188) $false % 24.10/6.43 | % 24.10/6.43 |-The branch is then unsatisfiable % 24.10/6.43 |-Branch two: % 24.10/6.43 | (1876) ~ (all_0_24_24 = e3) % 24.10/6.43 | (1877) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0 % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (1877), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (332) all_0_24_24 = e2 % 24.10/6.43 | % 24.10/6.43 | Equations (332) can reduce 219 to: % 24.10/6.43 | (188) $false % 24.10/6.43 | % 24.10/6.43 |-The branch is then unsatisfiable % 24.10/6.43 |-Branch two: % 24.10/6.43 | (219) ~ (all_0_24_24 = e2) % 24.10/6.43 | (1881) all_0_24_24 = e1 | all_0_24_24 = e0 % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (1881), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (694) all_0_24_24 = e1 % 24.10/6.43 | % 24.10/6.43 | Equations (694) can reduce 218 to: % 24.10/6.43 | (188) $false % 24.10/6.43 | % 24.10/6.43 |-The branch is then unsatisfiable % 24.10/6.43 |-Branch two: % 24.10/6.43 | (218) ~ (all_0_24_24 = e1) % 24.10/6.43 | (1082) all_0_24_24 = e0 % 24.10/6.43 | % 24.10/6.43 | Equations (1082) can reduce 9 to: % 24.10/6.43 | (9022) ~ (all_0_28_28 = e0) % 24.10/6.43 | % 24.10/6.43 | Simplifying 9022 yields: % 24.10/6.43 | (311) ~ (all_0_28_28 = e0) % 24.10/6.43 | % 24.10/6.43 | Equations (1082) can reduce 1876 to: % 24.10/6.43 | (205) ~ (e3 = e0) % 24.10/6.43 | % 24.10/6.43 | Simplifying 205 yields: % 24.10/6.43 | (79) ~ (e3 = e0) % 24.10/6.43 | % 24.10/6.43 | Equations (1082) can reduce 218 to: % 24.10/6.43 | (209) ~ (e1 = e0) % 24.10/6.43 | % 24.10/6.43 | Simplifying 209 yields: % 24.10/6.43 | (153) ~ (e1 = e0) % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (67), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (221) all_0_24_24 = e3 % 24.10/6.43 | % 24.10/6.43 | Combining equations (221,1082) yields a new equation: % 24.10/6.43 | (425) e3 = e0 % 24.10/6.43 | % 24.10/6.43 | Simplifying 425 yields: % 24.10/6.43 | (370) e3 = e0 % 24.10/6.43 | % 24.10/6.43 | Equations (370) can reduce 79 to: % 24.10/6.43 | (188) $false % 24.10/6.43 | % 24.10/6.43 |-The branch is then unsatisfiable % 24.10/6.43 |-Branch two: % 24.10/6.43 | (1876) ~ (all_0_24_24 = e3) % 24.10/6.43 | (5657) all_0_29_29 = e2 | all_0_34_34 = e1 | all_0_39_39 = e0 % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (16), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (348) all_0_28_28 = e1 % 24.10/6.43 | % 24.10/6.43 | Equations (348) can reduce 518 to: % 24.10/6.43 | (188) $false % 24.10/6.43 | % 24.10/6.43 |-The branch is then unsatisfiable % 24.10/6.43 |-Branch two: % 24.10/6.43 | (518) ~ (all_0_28_28 = e1) % 24.10/6.43 | (519) all_0_29_29 = e1 | all_0_30_30 = e1 | all_0_31_31 = e1 % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (519), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (303) all_0_29_29 = e1 % 24.10/6.43 | % 24.10/6.43 | Combining equations (306,303) yields a new equation: % 24.10/6.43 | (379) e1 = e0 % 24.10/6.43 | % 24.10/6.43 | Equations (379) can reduce 153 to: % 24.10/6.43 | (188) $false % 24.10/6.43 | % 24.10/6.43 |-The branch is then unsatisfiable % 24.10/6.43 |-Branch two: % 24.10/6.43 | (183) ~ (all_0_29_29 = e1) % 24.10/6.43 | (524) all_0_30_30 = e1 | all_0_31_31 = e1 % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (524), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (525) all_0_30_30 = e1 % 24.10/6.43 | % 24.10/6.43 | Equations (525) can reduce 159 to: % 24.10/6.43 | (518) ~ (all_0_28_28 = e1) % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (390), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (394) all_0_35_35 = e2 % 24.10/6.43 | % 24.10/6.43 | Equations (394) can reduce 319 to: % 24.10/6.43 | (188) $false % 24.10/6.43 | % 24.10/6.43 |-The branch is then unsatisfiable % 24.10/6.43 |-Branch two: % 24.10/6.43 | (319) ~ (all_0_35_35 = e2) % 24.10/6.43 | (397) all_0_35_35 = e1 | all_0_35_35 = e0 % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (397), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (398) all_0_35_35 = e1 % 24.10/6.43 | % 24.10/6.43 | Equations (398) can reduce 261 to: % 24.10/6.43 | (188) $false % 24.10/6.43 | % 24.10/6.43 |-The branch is then unsatisfiable % 24.10/6.43 |-Branch two: % 24.10/6.43 | (261) ~ (all_0_35_35 = e1) % 24.10/6.43 | (401) all_0_35_35 = e0 % 24.10/6.43 | % 24.10/6.43 | Equations (401) can reduce 319 to: % 24.10/6.43 | (207) ~ (e2 = e0) % 24.10/6.43 | % 24.10/6.43 | Simplifying 207 yields: % 24.10/6.43 | (87) ~ (e2 = e0) % 24.10/6.43 | % 24.10/6.43 | Equations (401) can reduce 261 to: % 24.10/6.43 | (209) ~ (e1 = e0) % 24.10/6.43 | % 24.10/6.43 | Simplifying 209 yields: % 24.10/6.43 | (153) ~ (e1 = e0) % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (104), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (654) all_0_28_28 = e3 % 24.10/6.43 | % 24.10/6.43 | Equations (654) can reduce 518 to: % 24.10/6.43 | (74) ~ (e3 = e1) % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (5657), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (291) all_0_29_29 = e2 % 24.10/6.43 | % 24.10/6.43 | Combining equations (306,291) yields a new equation: % 24.10/6.43 | (536) e2 = e0 % 24.10/6.43 | % 24.10/6.43 | Equations (536) can reduce 87 to: % 24.10/6.43 | (188) $false % 24.10/6.43 | % 24.10/6.43 |-The branch is then unsatisfiable % 24.10/6.43 |-Branch two: % 24.10/6.43 | (301) ~ (all_0_29_29 = e2) % 24.10/6.43 | (5663) all_0_34_34 = e1 | all_0_39_39 = e0 % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (5663), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (256) all_0_34_34 = e1 % 24.10/6.43 | % 24.10/6.43 | Combining equations (248,256) yields a new equation: % 24.10/6.43 | (492) e3 = e1 % 24.10/6.43 | % 24.10/6.43 | Simplifying 492 yields: % 24.10/6.43 | (387) e3 = e1 % 24.10/6.43 | % 24.10/6.43 | Equations (387) can reduce 74 to: % 24.10/6.43 | (188) $false % 24.10/6.43 | % 24.10/6.43 |-The branch is then unsatisfiable % 24.10/6.43 |-Branch two: % 24.10/6.43 | (619) ~ (all_0_34_34 = e1) % 24.10/6.43 | (198) all_0_39_39 = e0 % 24.10/6.43 | % 24.10/6.43 | Combining equations (198,195) yields a new equation: % 24.10/6.43 | (379) e1 = e0 % 24.10/6.43 | % 24.10/6.43 | Equations (379) can reduce 153 to: % 24.10/6.43 | (188) $false % 24.10/6.43 | % 24.10/6.43 |-The branch is then unsatisfiable % 24.10/6.43 |-Branch two: % 24.10/6.43 | (229) ~ (all_0_28_28 = e3) % 24.10/6.43 | (657) all_0_29_29 = e3 | all_0_30_30 = e3 | all_0_31_31 = e3 % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (121), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (654) all_0_28_28 = e3 % 24.10/6.43 | % 24.10/6.43 | Equations (654) can reduce 229 to: % 24.10/6.43 | (188) $false % 24.10/6.43 | % 24.10/6.43 |-The branch is then unsatisfiable % 24.10/6.43 |-Branch two: % 24.10/6.43 | (229) ~ (all_0_28_28 = e3) % 24.10/6.43 | (2366) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0 % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (2366), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (849) all_0_28_28 = e2 % 24.10/6.43 | % 24.10/6.43 | Equations (849) can reduce 852 to: % 24.10/6.43 | (188) $false % 24.10/6.43 | % 24.10/6.43 |-The branch is then unsatisfiable % 24.10/6.43 |-Branch two: % 24.10/6.43 | (852) ~ (all_0_28_28 = e2) % 24.10/6.43 | (2646) all_0_28_28 = e1 | all_0_28_28 = e0 % 24.10/6.43 | % 24.10/6.43 +-Applying beta-rule and splitting (2646), into two cases. % 24.10/6.43 |-Branch one: % 24.10/6.43 | (348) all_0_28_28 = e1 % 24.10/6.43 | % 24.10/6.43 | Equations (348) can reduce 518 to: % 24.10/6.43 | (188) $false % 24.10/6.43 | % 24.10/6.43 |-The branch is then unsatisfiable % 24.10/6.43 |-Branch two: % 24.10/6.43 | (518) ~ (all_0_28_28 = e1) % 24.10/6.43 | (763) all_0_28_28 = e0 % 24.10/6.43 | % 24.10/6.43 | Equations (763) can reduce 311 to: % 24.10/6.43 | (188) $false % 24.10/6.43 | % 24.10/6.43 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (258) ~ (all_0_30_30 = e1) % 24.10/6.44 | (483) all_0_31_31 = e1 % 24.10/6.44 | % 24.10/6.44 | Combining equations (309,483) yields a new equation: % 24.10/6.44 | (484) e2 = e1 % 24.10/6.44 | % 24.10/6.44 | Simplifying 484 yields: % 24.10/6.44 | (343) e2 = e1 % 24.10/6.44 | % 24.10/6.44 | Equations (343) can reduce 128 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (813) ~ (all_0_33_33 = e2) % 24.10/6.44 | (2556) all_0_33_33 = e1 | all_0_33_33 = e0 % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (2556), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (383) all_0_33_33 = e1 % 24.10/6.44 | % 24.10/6.44 | Equations (383) can reduce 259 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (259) ~ (all_0_33_33 = e1) % 24.10/6.44 | (882) all_0_33_33 = e0 % 24.10/6.44 | % 24.10/6.44 | Equations (882) can reduce 885 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (227) ~ (all_0_27_27 = e3) % 24.10/6.44 | (331) all_0_31_31 = e3 | all_0_35_35 = e3 | all_0_39_39 = e3 % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (331), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (416) all_0_31_31 = e3 % 24.10/6.44 | % 24.10/6.44 | Combining equations (309,416) yields a new equation: % 24.10/6.44 | (333) e3 = e2 % 24.10/6.44 | % 24.10/6.44 | Equations (333) can reduce 62 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (419) ~ (all_0_31_31 = e3) % 24.10/6.44 | (420) all_0_35_35 = e3 | all_0_39_39 = e3 % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (420), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (358) all_0_35_35 = e3 % 24.10/6.44 | % 24.10/6.44 | Equations (358) can reduce 389 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (389) ~ (all_0_35_35 = e3) % 24.10/6.44 | (187) all_0_39_39 = e3 % 24.10/6.44 | % 24.10/6.44 | Combining equations (187,195) yields a new equation: % 24.10/6.44 | (492) e3 = e1 % 24.10/6.44 | % 24.10/6.44 | Simplifying 492 yields: % 24.10/6.44 | (387) e3 = e1 % 24.10/6.44 | % 24.10/6.44 | Equations (387) can reduce 74 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (828) ~ (all_0_36_36 = e2) % 24.10/6.44 | (829) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2 % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (14), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (405) all_0_32_32 = e2 % 24.10/6.44 | % 24.10/6.44 | Combining equations (438,405) yields a new equation: % 24.10/6.44 | (343) e2 = e1 % 24.10/6.44 | % 24.10/6.44 | Equations (343) can reduce 128 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (428) ~ (all_0_32_32 = e2) % 24.10/6.44 | (429) all_0_33_33 = e2 | all_0_34_34 = e2 | all_0_35_35 = e2 % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (429), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (810) all_0_33_33 = e2 % 24.10/6.44 | % 24.10/6.44 | Equations (810) can reduce 359 to: % 24.10/6.44 | (340) ~ (e3 = e2) % 24.10/6.44 | % 24.10/6.44 | Simplifying 340 yields: % 24.10/6.44 | (62) ~ (e3 = e2) % 24.10/6.44 | % 24.10/6.44 | Equations (810) can reduce 259 to: % 24.10/6.44 | (128) ~ (e2 = e1) % 24.10/6.44 | % 24.10/6.44 | Equations (810) can reduce 885 to: % 24.10/6.44 | (87) ~ (e2 = e0) % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (829), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (814) all_0_37_37 = e2 % 24.10/6.44 | % 24.10/6.44 | Combining equations (814,377) yields a new equation: % 24.10/6.44 | (333) e3 = e2 % 24.10/6.44 | % 24.10/6.44 | Equations (333) can reduce 62 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (339) ~ (all_0_37_37 = e2) % 24.10/6.44 | (2054) all_0_38_38 = e2 | all_0_39_39 = e2 % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (2054), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (576) all_0_38_38 = e2 % 24.10/6.44 | % 24.10/6.44 | Combining equations (583,576) yields a new equation: % 24.10/6.44 | (536) e2 = e0 % 24.10/6.44 | % 24.10/6.44 | Equations (536) can reduce 87 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (554) ~ (all_0_38_38 = e2) % 24.10/6.44 | (191) all_0_39_39 = e2 % 24.10/6.44 | % 24.10/6.44 | Combining equations (191,195) yields a new equation: % 24.10/6.44 | (484) e2 = e1 % 24.10/6.44 | % 24.10/6.44 | Simplifying 484 yields: % 24.10/6.44 | (343) e2 = e1 % 24.10/6.44 | % 24.10/6.44 | Equations (343) can reduce 128 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (813) ~ (all_0_33_33 = e2) % 24.10/6.44 | (1658) all_0_34_34 = e2 | all_0_35_35 = e2 % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (1658), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (252) all_0_34_34 = e2 % 24.10/6.44 | % 24.10/6.44 | Combining equations (252,248) yields a new equation: % 24.10/6.44 | (333) e3 = e2 % 24.10/6.44 | % 24.10/6.44 | Equations (333) can reduce 62 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (247) ~ (all_0_34_34 = e2) % 24.10/6.44 | (394) all_0_35_35 = e2 % 24.10/6.44 | % 24.10/6.44 | Equations (394) can reduce 319 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (244) ~ (all_0_34_34 = e3) % 24.10/6.44 | (489) all_0_38_38 = e3 % 24.10/6.44 | % 24.10/6.44 | Combining equations (583,489) yields a new equation: % 24.10/6.44 | (370) e3 = e0 % 24.10/6.44 | % 24.10/6.44 | Equations (370) can reduce 79 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (9150) all_0_4_4 = e3 % 24.10/6.44 | (9151) ~ (all_0_5_5 = e1) | ~ (all_0_29_29 = e0) % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (9151), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (4136) ~ (all_0_5_5 = e1) % 24.10/6.44 | % 24.10/6.44 | Equations (4126) can reduce 4136 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (4126) all_0_5_5 = e1 % 24.10/6.44 | (286) ~ (all_0_29_29 = e0) % 24.10/6.44 | % 24.10/6.44 | Equations (306) can reduce 286 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (345) ~ (all_0_25_25 = e1) % 24.10/6.44 | (950) all_0_26_26 = e1 | all_0_27_27 = e1 % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (22), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (342) all_0_25_25 = e1 % 24.10/6.44 | % 24.10/6.44 | Equations (342) can reduce 345 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (345) ~ (all_0_25_25 = e1) % 24.10/6.44 | (346) all_0_29_29 = e1 | all_0_33_33 = e1 | all_0_37_37 = e1 % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (165), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (363) all_0_25_25 = e3 % 24.10/6.44 | % 24.10/6.44 | Equations (363) can reduce 149 to: % 24.10/6.44 | (1876) ~ (all_0_24_24 = e3) % 24.10/6.44 | % 24.10/6.44 | Equations (363) can reduce 130 to: % 24.10/6.44 | (226) ~ (all_0_27_27 = e3) % 24.10/6.44 | % 24.10/6.44 | Simplifying 226 yields: % 24.10/6.44 | (227) ~ (all_0_27_27 = e3) % 24.10/6.44 | % 24.10/6.44 | Equations (363) can reduce 532 to: % 24.10/6.44 | (62) ~ (e3 = e2) % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (67), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (221) all_0_24_24 = e3 % 24.10/6.44 | % 24.10/6.44 | Equations (221) can reduce 1876 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (1876) ~ (all_0_24_24 = e3) % 24.10/6.44 | (5657) all_0_29_29 = e2 | all_0_34_34 = e1 | all_0_39_39 = e0 % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (5657), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (291) all_0_29_29 = e2 % 24.10/6.44 | % 24.10/6.44 | Combining equations (306,291) yields a new equation: % 24.10/6.44 | (536) e2 = e0 % 24.10/6.44 | % 24.10/6.44 | Equations (536) can reduce 87 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (301) ~ (all_0_29_29 = e2) % 24.10/6.44 | (5663) all_0_34_34 = e1 | all_0_39_39 = e0 % 24.10/6.44 | % 24.10/6.44 | Equations (306) can reduce 301 to: % 24.10/6.44 | (207) ~ (e2 = e0) % 24.10/6.44 | % 24.10/6.44 | Simplifying 207 yields: % 24.10/6.44 | (87) ~ (e2 = e0) % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (4), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (220) ~ (all_0_24_24 = e0) % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (96), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (328) all_0_27_27 = e3 % 24.10/6.44 | % 24.10/6.44 | Equations (328) can reduce 227 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (227) ~ (all_0_27_27 = e3) % 24.10/6.44 | (922) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0 % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (107), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (454) all_0_36_36 = e3 % 24.10/6.44 | % 24.10/6.44 | Equations (454) can reduce 52 to: % 24.10/6.44 | (229) ~ (all_0_28_28 = e3) % 24.10/6.44 | % 24.10/6.44 | Equations (454) can reduce 202 to: % 24.10/6.44 | (79) ~ (e3 = e0) % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (55), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (328) all_0_27_27 = e3 % 24.10/6.44 | % 24.10/6.44 | Equations (328) can reduce 227 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (227) ~ (all_0_27_27 = e3) % 24.10/6.44 | (331) all_0_31_31 = e3 | all_0_35_35 = e3 | all_0_39_39 = e3 % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (121), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (654) all_0_28_28 = e3 % 24.10/6.44 | % 24.10/6.44 | Equations (654) can reduce 229 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (229) ~ (all_0_28_28 = e3) % 24.10/6.44 | (2366) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0 % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (98), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (732) all_0_36_36 = e2 % 24.10/6.44 | % 24.10/6.44 | Combining equations (732,454) yields a new equation: % 24.10/6.44 | (333) e3 = e2 % 24.10/6.44 | % 24.10/6.44 | Equations (333) can reduce 62 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (828) ~ (all_0_36_36 = e2) % 24.10/6.44 | (829) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2 % 24.10/6.44 | % 24.10/6.44 | Equations (454) can reduce 828 to: % 24.10/6.44 | (62) ~ (e3 = e2) % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (331), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (416) all_0_31_31 = e3 % 24.10/6.44 | % 24.10/6.44 | Combining equations (309,416) yields a new equation: % 24.10/6.44 | (333) e3 = e2 % 24.10/6.44 | % 24.10/6.44 | Equations (333) can reduce 62 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (419) ~ (all_0_31_31 = e3) % 24.10/6.44 | (420) all_0_35_35 = e3 | all_0_39_39 = e3 % 24.10/6.44 | % 24.10/6.44 | Equations (309) can reduce 419 to: % 24.10/6.44 | (340) ~ (e3 = e2) % 24.10/6.44 | % 24.10/6.44 | Simplifying 340 yields: % 24.10/6.44 | (62) ~ (e3 = e2) % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (104), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (654) all_0_28_28 = e3 % 24.10/6.44 | % 24.10/6.44 | Equations (654) can reduce 229 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (229) ~ (all_0_28_28 = e3) % 24.10/6.44 | (657) all_0_29_29 = e3 | all_0_30_30 = e3 | all_0_31_31 = e3 % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (657), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (287) all_0_29_29 = e3 % 24.10/6.44 | % 24.10/6.44 | Combining equations (306,287) yields a new equation: % 24.10/6.44 | (370) e3 = e0 % 24.10/6.44 | % 24.10/6.44 | Equations (370) can reduce 79 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (246) ~ (all_0_29_29 = e3) % 24.10/6.44 | (661) all_0_30_30 = e3 | all_0_31_31 = e3 % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (2366), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (849) all_0_28_28 = e2 % 24.10/6.44 | % 24.10/6.44 | Equations (849) can reduce 852 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (852) ~ (all_0_28_28 = e2) % 24.10/6.44 | (2646) all_0_28_28 = e1 | all_0_28_28 = e0 % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (2646), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (348) all_0_28_28 = e1 % 24.10/6.44 | % 24.10/6.44 | Equations (348) can reduce 311 to: % 24.10/6.44 | (153) ~ (e1 = e0) % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (661), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (561) all_0_30_30 = e3 % 24.10/6.44 | % 24.10/6.44 | Equations (561) can reduce 313 to: % 24.10/6.44 | (79) ~ (e3 = e0) % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (5663), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (256) all_0_34_34 = e1 % 24.10/6.44 | % 24.10/6.44 | Equations (256) can reduce 247 to: % 24.10/6.44 | (264) ~ (e2 = e1) % 24.10/6.44 | % 24.10/6.44 | Simplifying 264 yields: % 24.10/6.44 | (128) ~ (e2 = e1) % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (66), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (1082) all_0_24_24 = e0 % 24.10/6.44 | % 24.10/6.44 | Equations (1082) can reduce 220 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (220) ~ (all_0_24_24 = e0) % 24.10/6.44 | (1087) all_0_25_25 = e0 | all_0_26_26 = e0 | all_0_27_27 = e0 % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (1087), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (758) all_0_25_25 = e0 % 24.10/6.44 | % 24.10/6.44 | Combining equations (758,363) yields a new equation: % 24.10/6.44 | (370) e3 = e0 % 24.10/6.44 | % 24.10/6.44 | Equations (370) can reduce 79 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (726) ~ (all_0_25_25 = e0) % 24.10/6.44 | (1317) all_0_26_26 = e0 | all_0_27_27 = e0 % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (1317), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (321) all_0_26_26 = e0 % 24.10/6.44 | % 24.10/6.44 | Combining equations (321,534) yields a new equation: % 24.10/6.44 | (536) e2 = e0 % 24.10/6.44 | % 24.10/6.44 | Equations (536) can reduce 87 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (541) ~ (all_0_26_26 = e0) % 24.10/6.44 | (930) all_0_27_27 = e0 % 24.10/6.44 | % 24.10/6.44 | Equations (930) can reduce 443 to: % 24.10/6.44 | (209) ~ (e1 = e0) % 24.10/6.44 | % 24.10/6.44 | Simplifying 209 yields: % 24.10/6.44 | (153) ~ (e1 = e0) % 24.10/6.44 | % 24.10/6.44 +-Applying beta-rule and splitting (950), into two cases. % 24.10/6.44 |-Branch one: % 24.10/6.44 | (587) all_0_26_26 = e1 % 24.10/6.44 | % 24.10/6.44 | Combining equations (534,587) yields a new equation: % 24.10/6.44 | (484) e2 = e1 % 24.10/6.44 | % 24.10/6.44 | Simplifying 484 yields: % 24.10/6.44 | (343) e2 = e1 % 24.10/6.44 | % 24.10/6.44 | Equations (343) can reduce 128 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.44 | (257) ~ (all_0_26_26 = e1) % 24.10/6.44 | (354) all_0_27_27 = e1 % 24.10/6.44 | % 24.10/6.44 | Combining equations (930,354) yields a new equation: % 24.10/6.44 | (379) e1 = e0 % 24.10/6.44 | % 24.10/6.44 | Equations (379) can reduce 153 to: % 24.10/6.44 | (188) $false % 24.10/6.44 | % 24.10/6.44 |-The branch is then unsatisfiable % 24.10/6.44 |-Branch two: % 24.10/6.45 | (619) ~ (all_0_34_34 = e1) % 24.10/6.45 | (198) all_0_39_39 = e0 % 24.10/6.45 | % 24.10/6.45 | Combining equations (198,195) yields a new equation: % 24.10/6.45 | (379) e1 = e0 % 24.10/6.45 | % 24.10/6.45 | Equations (379) can reduce 153 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (556) ~ (all_0_30_30 = e3) % 24.10/6.45 | (416) all_0_31_31 = e3 % 24.10/6.45 | % 24.10/6.45 | Combining equations (309,416) yields a new equation: % 24.10/6.45 | (333) e3 = e2 % 24.10/6.45 | % 24.10/6.45 | Equations (333) can reduce 62 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (518) ~ (all_0_28_28 = e1) % 24.10/6.45 | (763) all_0_28_28 = e0 % 24.10/6.45 | % 24.10/6.45 | Equations (763) can reduce 311 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (233) ~ (all_0_36_36 = e3) % 24.10/6.45 | (477) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3 % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (97), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (454) all_0_36_36 = e3 % 24.10/6.45 | % 24.10/6.45 | Equations (454) can reduce 233 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (233) ~ (all_0_36_36 = e3) % 24.10/6.45 | (457) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0 % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (457), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (732) all_0_36_36 = e2 % 24.10/6.45 | % 24.10/6.45 | Equations (732) can reduce 68 to: % 24.10/6.45 | (219) ~ (all_0_24_24 = e2) % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (922), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (539) all_0_27_27 = e2 % 24.10/6.45 | % 24.10/6.45 | Equations (539) can reduce 310 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (310) ~ (all_0_27_27 = e2) % 24.10/6.45 | (926) all_0_27_27 = e1 | all_0_27_27 = e0 % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (926), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (354) all_0_27_27 = e1 % 24.10/6.45 | % 24.10/6.45 | Equations (354) can reduce 443 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (443) ~ (all_0_27_27 = e1) % 24.10/6.45 | (930) all_0_27_27 = e0 % 24.10/6.45 | % 24.10/6.45 | Equations (930) can reduce 160 to: % 24.10/6.45 | (220) ~ (all_0_24_24 = e0) % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (17), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (221) all_0_24_24 = e3 % 24.10/6.45 | % 24.10/6.45 | Equations (221) can reduce 1876 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (1876) ~ (all_0_24_24 = e3) % 24.10/6.45 | (1877) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0 % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (1877), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (332) all_0_24_24 = e2 % 24.10/6.45 | % 24.10/6.45 | Equations (332) can reduce 219 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (219) ~ (all_0_24_24 = e2) % 24.10/6.45 | (1881) all_0_24_24 = e1 | all_0_24_24 = e0 % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (1881), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (694) all_0_24_24 = e1 % 24.10/6.45 | % 24.10/6.45 | Equations (694) can reduce 218 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (218) ~ (all_0_24_24 = e1) % 24.10/6.45 | (1082) all_0_24_24 = e0 % 24.10/6.45 | % 24.10/6.45 | Equations (1082) can reduce 220 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (828) ~ (all_0_36_36 = e2) % 24.10/6.45 | (1147) all_0_36_36 = e1 | all_0_36_36 = e0 % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (1147), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (445) all_0_36_36 = e1 % 24.10/6.45 | % 24.10/6.45 | Equations (445) can reduce 352 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (352) ~ (all_0_36_36 = e1) % 24.10/6.45 | (1232) all_0_36_36 = e0 % 24.10/6.45 | % 24.10/6.45 | Equations (1232) can reduce 202 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (1082) all_0_24_24 = e0 % 24.10/6.45 | (328) all_0_27_27 = e3 % 24.10/6.45 | % 24.10/6.45 | Equations (328) can reduce 227 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (223) ~ (all_0_25_25 = e3) % 24.10/6.45 | (2809) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0 % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (2809), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (337) all_0_25_25 = e2 % 24.10/6.45 | % 24.10/6.45 | Equations (337) can reduce 532 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (532) ~ (all_0_25_25 = e2) % 24.10/6.45 | (2944) all_0_25_25 = e1 | all_0_25_25 = e0 % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (2944), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (342) all_0_25_25 = e1 % 24.10/6.45 | % 24.10/6.45 | Equations (342) can reduce 345 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (345) ~ (all_0_25_25 = e1) % 24.10/6.45 | (758) all_0_25_25 = e0 % 24.10/6.45 | % 24.10/6.45 | Equations (758) can reduce 726 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (694) all_0_24_24 = e1 % 24.10/6.45 | (543) all_0_26_26 = e3 % 24.10/6.45 | % 24.10/6.45 | Combining equations (543,534) yields a new equation: % 24.10/6.45 | (364) e3 = e2 % 24.10/6.45 | % 24.10/6.45 | Simplifying 364 yields: % 24.10/6.45 | (333) e3 = e2 % 24.10/6.45 | % 24.10/6.45 | Equations (333) can reduce 62 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (538) ~ (all_0_26_26 = e2) % 24.10/6.45 | (1441) all_0_30_30 = e2 | all_0_34_34 = e2 | all_0_38_38 = e2 % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (1441), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (565) all_0_30_30 = e2 % 24.10/6.45 | % 24.10/6.45 | Equations (565) can reduce 552 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (552) ~ (all_0_30_30 = e2) % 24.10/6.45 | (1454) all_0_34_34 = e2 | all_0_38_38 = e2 % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (158), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (332) all_0_24_24 = e2 % 24.10/6.45 | % 24.10/6.45 | Equations (332) can reduce 219 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (219) ~ (all_0_24_24 = e2) % 24.10/6.45 | (336) all_0_25_25 = e2 | all_0_26_26 = e2 | all_0_27_27 = e2 % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (336), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (337) all_0_25_25 = e2 % 24.10/6.45 | % 24.10/6.45 | Equations (337) can reduce 726 to: % 24.10/6.45 | (87) ~ (e2 = e0) % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (1454), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (252) all_0_34_34 = e2 % 24.10/6.45 | % 24.10/6.45 | Equations (252) can reduce 247 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (247) ~ (all_0_34_34 = e2) % 24.10/6.45 | (576) all_0_38_38 = e2 % 24.10/6.45 | % 24.10/6.45 | Combining equations (583,576) yields a new equation: % 24.10/6.45 | (536) e2 = e0 % 24.10/6.45 | % 24.10/6.45 | Equations (536) can reduce 87 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (532) ~ (all_0_25_25 = e2) % 24.10/6.45 | (533) all_0_26_26 = e2 | all_0_27_27 = e2 % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (533), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (534) all_0_26_26 = e2 % 24.10/6.45 | % 24.10/6.45 | Equations (534) can reduce 538 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (538) ~ (all_0_26_26 = e2) % 24.10/6.45 | (539) all_0_27_27 = e2 % 24.10/6.45 | % 24.10/6.45 | Equations (539) can reduce 310 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (332) all_0_24_24 = e2 % 24.10/6.45 | (363) all_0_25_25 = e3 % 24.10/6.45 | % 24.10/6.45 | Equations (332) can reduce 60 to: % 24.10/6.45 | (5076) ~ (all_0_26_26 = e2) % 24.10/6.45 | % 24.10/6.45 | Simplifying 5076 yields: % 24.10/6.45 | (538) ~ (all_0_26_26 = e2) % 24.10/6.45 | % 24.10/6.45 | Equations (332) can reduce 160 to: % 24.10/6.45 | (5078) ~ (all_0_27_27 = e2) % 24.10/6.45 | % 24.10/6.45 | Simplifying 5078 yields: % 24.10/6.45 | (310) ~ (all_0_27_27 = e2) % 24.10/6.45 | % 24.10/6.45 | Equations (332) can reduce 102 to: % 24.10/6.45 | (1047) ~ (all_0_32_32 = e2) % 24.10/6.45 | % 24.10/6.45 | Simplifying 1047 yields: % 24.10/6.45 | (428) ~ (all_0_32_32 = e2) % 24.10/6.45 | % 24.10/6.45 | Equations (363) can reduce 71 to: % 24.10/6.45 | (224) ~ (all_0_26_26 = e3) % 24.10/6.45 | % 24.10/6.45 | Simplifying 224 yields: % 24.10/6.45 | (225) ~ (all_0_26_26 = e3) % 24.10/6.45 | % 24.10/6.45 | Equations (363) can reduce 47 to: % 24.10/6.45 | (2991) ~ (all_0_29_29 = e3) % 24.10/6.45 | % 24.10/6.45 | Simplifying 2991 yields: % 24.10/6.45 | (246) ~ (all_0_29_29 = e3) % 24.10/6.45 | % 24.10/6.45 | Equations (363) can reduce 114 to: % 24.10/6.45 | (2343) ~ (all_0_33_33 = e3) % 24.10/6.45 | % 24.10/6.45 | Simplifying 2343 yields: % 24.10/6.45 | (359) ~ (all_0_33_33 = e3) % 24.10/6.45 | % 24.10/6.45 | Equations (363) can reduce 31 to: % 24.10/6.45 | (1388) ~ (all_0_37_37 = e3) % 24.10/6.45 | % 24.10/6.45 | Simplifying 1388 yields: % 24.10/6.45 | (481) ~ (all_0_37_37 = e3) % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (111), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (377) all_0_37_37 = e3 % 24.10/6.45 | % 24.10/6.45 | Equations (377) can reduce 481 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (481) ~ (all_0_37_37 = e3) % 24.10/6.45 | (2566) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0 % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (2566), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (814) all_0_37_37 = e2 % 24.10/6.45 | % 24.10/6.45 | Equations (814) can reduce 182 to: % 24.10/6.45 | (813) ~ (all_0_33_33 = e2) % 24.10/6.45 | % 24.10/6.45 | Equations (814) can reduce 169 to: % 24.10/6.45 | (828) ~ (all_0_36_36 = e2) % 24.10/6.45 | % 24.10/6.45 | Equations (814) can reduce 481 to: % 24.10/6.45 | (340) ~ (e3 = e2) % 24.10/6.45 | % 24.10/6.45 | Simplifying 340 yields: % 24.10/6.45 | (62) ~ (e3 = e2) % 24.10/6.45 | % 24.10/6.45 | Equations (814) can reduce 504 to: % 24.10/6.45 | (128) ~ (e2 = e1) % 24.10/6.45 | % 24.10/6.45 | Equations (814) can reduce 203 to: % 24.10/6.45 | (87) ~ (e2 = e0) % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (6), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (534) all_0_26_26 = e2 % 24.10/6.45 | % 24.10/6.45 | Equations (534) can reduce 538 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (538) ~ (all_0_26_26 = e2) % 24.10/6.45 | (1441) all_0_30_30 = e2 | all_0_34_34 = e2 | all_0_38_38 = e2 % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (107), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (454) all_0_36_36 = e3 % 24.10/6.45 | % 24.10/6.45 | Equations (454) can reduce 52 to: % 24.10/6.45 | (229) ~ (all_0_28_28 = e3) % 24.10/6.45 | % 24.10/6.45 | Equations (454) can reduce 11 to: % 24.10/6.45 | (231) ~ (all_0_32_32 = e3) % 24.10/6.45 | % 24.10/6.45 | Equations (454) can reduce 828 to: % 24.10/6.45 | (62) ~ (e3 = e2) % 24.10/6.45 | % 24.10/6.45 | Equations (454) can reduce 202 to: % 24.10/6.45 | (79) ~ (e3 = e0) % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (70), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (543) all_0_26_26 = e3 % 24.10/6.45 | % 24.10/6.45 | Equations (543) can reduce 225 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (225) ~ (all_0_26_26 = e3) % 24.10/6.45 | (546) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0 % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (546), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (534) all_0_26_26 = e2 % 24.10/6.45 | % 24.10/6.45 | Equations (534) can reduce 538 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (538) ~ (all_0_26_26 = e2) % 24.10/6.45 | (586) all_0_26_26 = e1 | all_0_26_26 = e0 % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (1441), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (565) all_0_30_30 = e2 % 24.10/6.45 | % 24.10/6.45 | Equations (565) can reduce 151 to: % 24.10/6.45 | (538) ~ (all_0_26_26 = e2) % 24.10/6.45 | % 24.10/6.45 | Equations (565) can reduce 159 to: % 24.10/6.45 | (852) ~ (all_0_28_28 = e2) % 24.10/6.45 | % 24.10/6.45 | Equations (565) can reduce 133 to: % 24.10/6.45 | (301) ~ (all_0_29_29 = e2) % 24.10/6.45 | % 24.10/6.45 | Equations (565) can reduce 168 to: % 24.10/6.45 | (1045) ~ (all_0_31_31 = e2) % 24.10/6.45 | % 24.10/6.45 | Simplifying 1045 yields: % 24.10/6.45 | (817) ~ (all_0_31_31 = e2) % 24.10/6.45 | % 24.10/6.45 | Equations (565) can reduce 139 to: % 24.10/6.45 | (3653) ~ (all_0_34_34 = e2) % 24.10/6.45 | % 24.10/6.45 | Simplifying 3653 yields: % 24.10/6.45 | (247) ~ (all_0_34_34 = e2) % 24.10/6.45 | % 24.10/6.45 | Equations (565) can reduce 313 to: % 24.10/6.45 | (87) ~ (e2 = e0) % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (29), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (286) ~ (all_0_29_29 = e0) % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (586), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (587) all_0_26_26 = e1 % 24.10/6.45 | % 24.10/6.45 | Equations (587) can reduce 225 to: % 24.10/6.45 | (691) ~ (e3 = e1) % 24.10/6.45 | % 24.10/6.45 | Simplifying 691 yields: % 24.10/6.45 | (74) ~ (e3 = e1) % 24.10/6.45 | % 24.10/6.45 | Equations (587) can reduce 538 to: % 24.10/6.45 | (264) ~ (e2 = e1) % 24.10/6.45 | % 24.10/6.45 | Simplifying 264 yields: % 24.10/6.45 | (128) ~ (e2 = e1) % 24.10/6.45 | % 24.10/6.45 | Equations (587) can reduce 541 to: % 24.10/6.45 | (153) ~ (e1 = e0) % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (78), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (287) all_0_29_29 = e3 % 24.10/6.45 | % 24.10/6.45 | Equations (287) can reduce 246 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (246) ~ (all_0_29_29 = e3) % 24.10/6.45 | (290) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0 % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (135), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (248) all_0_34_34 = e3 % 24.10/6.45 | % 24.10/6.45 | Equations (248) can reduce 247 to: % 24.10/6.45 | (62) ~ (e3 = e2) % 24.10/6.45 | % 24.10/6.45 | Equations (248) can reduce 245 to: % 24.10/6.45 | (79) ~ (e3 = e0) % 24.10/6.45 | % 24.10/6.45 +-Applying beta-rule and splitting (154), into two cases. % 24.10/6.45 |-Branch one: % 24.10/6.45 | (244) ~ (all_0_34_34 = e3) % 24.10/6.45 | % 24.10/6.45 | Equations (248) can reduce 244 to: % 24.10/6.45 | (188) $false % 24.10/6.45 | % 24.10/6.45 |-The branch is then unsatisfiable % 24.10/6.45 |-Branch two: % 24.10/6.45 | (248) all_0_34_34 = e3 % 24.10/6.45 | (438) all_0_32_32 = e1 % 24.10/6.45 | % 24.10/6.45 | Equations (438) can reduce 2 to: % 24.10/6.45 | (2305) ~ (all_0_33_33 = e1) % 24.10/6.45 | % 24.10/6.45 | Simplifying 2305 yields: % 24.10/6.45 | (259) ~ (all_0_33_33 = e1) % 24.10/6.45 | % 24.10/6.45 | Equations (438) can reduce 428 to: % 24.10/6.45 | (264) ~ (e2 = e1) % 24.10/6.45 | % 24.10/6.45 | Simplifying 264 yields: % 24.10/6.46 | (128) ~ (e2 = e1) % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (115), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (1082) all_0_24_24 = e0 % 24.10/6.46 | % 24.10/6.46 | Combining equations (1082,332) yields a new equation: % 24.10/6.46 | (536) e2 = e0 % 24.10/6.46 | % 24.10/6.46 | Equations (536) can reduce 87 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (220) ~ (all_0_24_24 = e0) % 24.10/6.46 | (1111) all_0_28_28 = e0 | all_0_32_32 = e0 | all_0_36_36 = e0 % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (1111), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (763) all_0_28_28 = e0 % 24.10/6.46 | % 24.10/6.46 | Equations (763) can reduce 118 to: % 24.10/6.46 | (3262) ~ (all_0_29_29 = e0) % 24.10/6.46 | % 24.10/6.46 | Simplifying 3262 yields: % 24.10/6.46 | (286) ~ (all_0_29_29 = e0) % 24.10/6.46 | % 24.10/6.46 | Equations (763) can reduce 30 to: % 24.10/6.46 | (836) ~ (all_0_31_31 = e0) % 24.10/6.46 | % 24.10/6.46 | Simplifying 836 yields: % 24.10/6.46 | (200) ~ (all_0_31_31 = e0) % 24.10/6.46 | % 24.10/6.46 | Equations (763) can reduce 229 to: % 24.10/6.46 | (205) ~ (e3 = e0) % 24.10/6.46 | % 24.10/6.46 | Simplifying 205 yields: % 24.10/6.46 | (79) ~ (e3 = e0) % 24.10/6.46 | % 24.10/6.46 | Equations (763) can reduce 852 to: % 24.10/6.46 | (207) ~ (e2 = e0) % 24.10/6.46 | % 24.10/6.46 | Simplifying 207 yields: % 24.10/6.46 | (87) ~ (e2 = e0) % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (14), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (405) all_0_32_32 = e2 % 24.10/6.46 | % 24.10/6.46 | Combining equations (405,438) yields a new equation: % 24.10/6.46 | (484) e2 = e1 % 24.10/6.46 | % 24.10/6.46 | Simplifying 484 yields: % 24.10/6.46 | (343) e2 = e1 % 24.10/6.46 | % 24.10/6.46 | Equations (343) can reduce 128 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (428) ~ (all_0_32_32 = e2) % 24.10/6.46 | (429) all_0_33_33 = e2 | all_0_34_34 = e2 | all_0_35_35 = e2 % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (104), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (654) all_0_28_28 = e3 % 24.10/6.46 | % 24.10/6.46 | Combining equations (763,654) yields a new equation: % 24.10/6.46 | (370) e3 = e0 % 24.10/6.46 | % 24.10/6.46 | Equations (370) can reduce 79 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (229) ~ (all_0_28_28 = e3) % 24.10/6.46 | (657) all_0_29_29 = e3 | all_0_30_30 = e3 | all_0_31_31 = e3 % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (657), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (287) all_0_29_29 = e3 % 24.10/6.46 | % 24.10/6.46 | Equations (287) can reduce 246 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (246) ~ (all_0_29_29 = e3) % 24.10/6.46 | (661) all_0_30_30 = e3 | all_0_31_31 = e3 % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (661), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (561) all_0_30_30 = e3 % 24.10/6.46 | % 24.10/6.46 | Combining equations (565,561) yields a new equation: % 24.10/6.46 | (333) e3 = e2 % 24.10/6.46 | % 24.10/6.46 | Equations (333) can reduce 62 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (556) ~ (all_0_30_30 = e3) % 24.10/6.46 | (416) all_0_31_31 = e3 % 24.10/6.46 | % 24.10/6.46 | Equations (416) can reduce 147 to: % 24.10/6.46 | (1903) ~ (all_0_35_35 = e3) % 24.10/6.46 | % 24.10/6.46 | Simplifying 1903 yields: % 24.10/6.46 | (389) ~ (all_0_35_35 = e3) % 24.10/6.46 | % 24.10/6.46 | Equations (416) can reduce 817 to: % 24.10/6.46 | (62) ~ (e3 = e2) % 24.10/6.46 | % 24.10/6.46 | Equations (416) can reduce 487 to: % 24.10/6.46 | (74) ~ (e3 = e1) % 24.10/6.46 | % 24.10/6.46 | Equations (416) can reduce 200 to: % 24.10/6.46 | (79) ~ (e3 = e0) % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (429), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (810) all_0_33_33 = e2 % 24.10/6.46 | % 24.10/6.46 | Equations (810) can reduce 813 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (813) ~ (all_0_33_33 = e2) % 24.10/6.46 | (1658) all_0_34_34 = e2 | all_0_35_35 = e2 % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (1658), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (252) all_0_34_34 = e2 % 24.10/6.46 | % 24.10/6.46 | Combining equations (248,252) yields a new equation: % 24.10/6.46 | (364) e3 = e2 % 24.10/6.46 | % 24.10/6.46 | Simplifying 364 yields: % 24.10/6.46 | (333) e3 = e2 % 24.10/6.46 | % 24.10/6.46 | Equations (333) can reduce 62 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (247) ~ (all_0_34_34 = e2) % 24.10/6.46 | (394) all_0_35_35 = e2 % 24.10/6.46 | % 24.10/6.46 | Equations (394) can reduce 389 to: % 24.10/6.46 | (340) ~ (e3 = e2) % 24.10/6.46 | % 24.10/6.46 | Simplifying 340 yields: % 24.10/6.46 | (62) ~ (e3 = e2) % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (290), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (291) all_0_29_29 = e2 % 24.10/6.46 | % 24.10/6.46 | Equations (291) can reduce 301 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (301) ~ (all_0_29_29 = e2) % 24.10/6.46 | (302) all_0_29_29 = e1 | all_0_29_29 = e0 % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (22), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (342) all_0_25_25 = e1 % 24.10/6.46 | % 24.10/6.46 | Combining equations (363,342) yields a new equation: % 24.10/6.46 | (492) e3 = e1 % 24.10/6.46 | % 24.10/6.46 | Simplifying 492 yields: % 24.10/6.46 | (387) e3 = e1 % 24.10/6.46 | % 24.10/6.46 | Equations (387) can reduce 74 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (345) ~ (all_0_25_25 = e1) % 24.10/6.46 | (346) all_0_29_29 = e1 | all_0_33_33 = e1 | all_0_37_37 = e1 % 24.10/6.46 | % 24.10/6.46 | Equations (363) can reduce 345 to: % 24.10/6.46 | (74) ~ (e3 = e1) % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (94), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (758) all_0_25_25 = e0 % 24.10/6.46 | % 24.10/6.46 | Combining equations (363,758) yields a new equation: % 24.10/6.46 | (425) e3 = e0 % 24.10/6.46 | % 24.10/6.46 | Simplifying 425 yields: % 24.10/6.46 | (370) e3 = e0 % 24.10/6.46 | % 24.10/6.46 | Equations (370) can reduce 79 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (726) ~ (all_0_25_25 = e0) % 24.10/6.46 | (762) all_0_29_29 = e0 | all_0_33_33 = e0 | all_0_37_37 = e0 % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (762), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (306) all_0_29_29 = e0 % 24.10/6.46 | % 24.10/6.46 | Equations (306) can reduce 286 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (286) ~ (all_0_29_29 = e0) % 24.10/6.46 | (790) all_0_33_33 = e0 | all_0_37_37 = e0 % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (67), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (221) all_0_24_24 = e3 % 24.10/6.46 | % 24.10/6.46 | Combining equations (221,332) yields a new equation: % 24.10/6.46 | (364) e3 = e2 % 24.10/6.46 | % 24.10/6.46 | Simplifying 364 yields: % 24.10/6.46 | (333) e3 = e2 % 24.10/6.46 | % 24.10/6.46 | Equations (333) can reduce 62 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (1876) ~ (all_0_24_24 = e3) % 24.10/6.46 | (5657) all_0_29_29 = e2 | all_0_34_34 = e1 | all_0_39_39 = e0 % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (790), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (882) all_0_33_33 = e0 % 24.10/6.46 | % 24.10/6.46 | Equations (882) can reduce 259 to: % 24.10/6.46 | (209) ~ (e1 = e0) % 24.10/6.46 | % 24.10/6.46 | Simplifying 209 yields: % 24.10/6.46 | (153) ~ (e1 = e0) % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (5657), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (291) all_0_29_29 = e2 % 24.10/6.46 | % 24.10/6.46 | Equations (291) can reduce 301 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (301) ~ (all_0_29_29 = e2) % 24.10/6.46 | (5663) all_0_34_34 = e1 | all_0_39_39 = e0 % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (5663), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (256) all_0_34_34 = e1 % 24.10/6.46 | % 24.10/6.46 | Combining equations (248,256) yields a new equation: % 24.10/6.46 | (492) e3 = e1 % 24.10/6.46 | % 24.10/6.46 | Simplifying 492 yields: % 24.10/6.46 | (387) e3 = e1 % 24.10/6.46 | % 24.10/6.46 | Equations (387) can reduce 74 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (619) ~ (all_0_34_34 = e1) % 24.10/6.46 | (198) all_0_39_39 = e0 % 24.10/6.46 | % 24.10/6.46 | Combining equations (198,195) yields a new equation: % 24.10/6.46 | (379) e1 = e0 % 24.10/6.46 | % 24.10/6.46 | Equations (379) can reduce 153 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (885) ~ (all_0_33_33 = e0) % 24.10/6.46 | (886) all_0_37_37 = e0 % 24.10/6.46 | % 24.10/6.46 | Combining equations (814,886) yields a new equation: % 24.10/6.46 | (535) e2 = e0 % 24.10/6.46 | % 24.10/6.46 | Simplifying 535 yields: % 24.10/6.46 | (536) e2 = e0 % 24.10/6.46 | % 24.10/6.46 | Equations (536) can reduce 87 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (311) ~ (all_0_28_28 = e0) % 24.10/6.46 | (1119) all_0_32_32 = e0 | all_0_36_36 = e0 % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (1119), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (391) all_0_32_32 = e0 % 24.10/6.46 | % 24.10/6.46 | Combining equations (438,391) yields a new equation: % 24.10/6.46 | (510) e1 = e0 % 24.10/6.46 | % 24.10/6.46 | Simplifying 510 yields: % 24.10/6.46 | (379) e1 = e0 % 24.10/6.46 | % 24.10/6.46 | Equations (379) can reduce 153 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (403) ~ (all_0_32_32 = e0) % 24.10/6.46 | (1232) all_0_36_36 = e0 % 24.10/6.46 | % 24.10/6.46 | Combining equations (454,1232) yields a new equation: % 24.10/6.46 | (425) e3 = e0 % 24.10/6.46 | % 24.10/6.46 | Simplifying 425 yields: % 24.10/6.46 | (370) e3 = e0 % 24.10/6.46 | % 24.10/6.46 | Equations (370) can reduce 79 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (244) ~ (all_0_34_34 = e3) % 24.10/6.46 | (251) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0 % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (22), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (342) all_0_25_25 = e1 % 24.10/6.46 | % 24.10/6.46 | Combining equations (342,363) yields a new equation: % 24.10/6.46 | (387) e3 = e1 % 24.10/6.46 | % 24.10/6.46 | Equations (387) can reduce 74 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (345) ~ (all_0_25_25 = e1) % 24.10/6.46 | (346) all_0_29_29 = e1 | all_0_33_33 = e1 | all_0_37_37 = e1 % 24.10/6.46 | % 24.10/6.46 | Equations (363) can reduce 345 to: % 24.10/6.46 | (74) ~ (e3 = e1) % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (16), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (348) all_0_28_28 = e1 % 24.10/6.46 | % 24.10/6.46 | Equations (348) can reduce 118 to: % 24.10/6.46 | (701) ~ (all_0_29_29 = e1) % 24.10/6.46 | % 24.10/6.46 | Simplifying 701 yields: % 24.10/6.46 | (183) ~ (all_0_29_29 = e1) % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (27), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (763) all_0_28_28 = e0 % 24.10/6.46 | % 24.10/6.46 | Combining equations (348,763) yields a new equation: % 24.10/6.46 | (510) e1 = e0 % 24.10/6.46 | % 24.10/6.46 | Simplifying 510 yields: % 24.10/6.46 | (379) e1 = e0 % 24.10/6.46 | % 24.10/6.46 | Equations (379) can reduce 153 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (311) ~ (all_0_28_28 = e0) % 24.10/6.46 | (768) all_0_29_29 = e0 | all_0_30_30 = e0 | all_0_31_31 = e0 % 24.10/6.46 | % 24.10/6.46 | Equations (348) can reduce 311 to: % 24.10/6.46 | (153) ~ (e1 = e0) % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (115), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (1082) all_0_24_24 = e0 % 24.10/6.46 | % 24.10/6.46 | Combining equations (1082,332) yields a new equation: % 24.10/6.46 | (536) e2 = e0 % 24.10/6.46 | % 24.10/6.46 | Equations (536) can reduce 87 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (220) ~ (all_0_24_24 = e0) % 24.10/6.46 | (1111) all_0_28_28 = e0 | all_0_32_32 = e0 | all_0_36_36 = e0 % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (768), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (306) all_0_29_29 = e0 % 24.10/6.46 | % 24.10/6.46 | Equations (306) can reduce 286 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (286) ~ (all_0_29_29 = e0) % 24.10/6.46 | (798) all_0_30_30 = e0 | all_0_31_31 = e0 % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (1111), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (763) all_0_28_28 = e0 % 24.10/6.46 | % 24.10/6.46 | Combining equations (348,763) yields a new equation: % 24.10/6.46 | (510) e1 = e0 % 24.10/6.46 | % 24.10/6.46 | Simplifying 510 yields: % 24.10/6.46 | (379) e1 = e0 % 24.10/6.46 | % 24.10/6.46 | Equations (379) can reduce 153 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (311) ~ (all_0_28_28 = e0) % 24.10/6.46 | (1119) all_0_32_32 = e0 | all_0_36_36 = e0 % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (1119), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (391) all_0_32_32 = e0 % 24.10/6.46 | % 24.10/6.46 | Equations (391) can reduce 428 to: % 24.10/6.46 | (207) ~ (e2 = e0) % 24.10/6.46 | % 24.10/6.46 | Simplifying 207 yields: % 24.10/6.46 | (87) ~ (e2 = e0) % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (798), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (557) all_0_30_30 = e0 % 24.10/6.46 | % 24.10/6.46 | Combining equations (565,557) yields a new equation: % 24.10/6.46 | (535) e2 = e0 % 24.10/6.46 | % 24.10/6.46 | Simplifying 535 yields: % 24.10/6.46 | (536) e2 = e0 % 24.10/6.46 | % 24.10/6.46 | Equations (536) can reduce 87 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (313) ~ (all_0_30_30 = e0) % 24.10/6.46 | (938) all_0_31_31 = e0 % 24.10/6.46 | % 24.10/6.46 | Equations (938) can reduce 53 to: % 24.10/6.46 | (286) ~ (all_0_29_29 = e0) % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (290), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (291) all_0_29_29 = e2 % 24.10/6.46 | % 24.10/6.46 | Equations (291) can reduce 301 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (301) ~ (all_0_29_29 = e2) % 24.10/6.46 | (302) all_0_29_29 = e1 | all_0_29_29 = e0 % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (302), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (303) all_0_29_29 = e1 % 24.10/6.46 | % 24.10/6.46 | Equations (303) can reduce 183 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (183) ~ (all_0_29_29 = e1) % 24.10/6.46 | (306) all_0_29_29 = e0 % 24.10/6.46 | % 24.10/6.46 | Equations (306) can reduce 286 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (403) ~ (all_0_32_32 = e0) % 24.10/6.46 | (1232) all_0_36_36 = e0 % 24.10/6.46 | % 24.10/6.46 | Combining equations (454,1232) yields a new equation: % 24.10/6.46 | (425) e3 = e0 % 24.10/6.46 | % 24.10/6.46 | Simplifying 425 yields: % 24.10/6.46 | (370) e3 = e0 % 24.10/6.46 | % 24.10/6.46 | Equations (370) can reduce 79 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (518) ~ (all_0_28_28 = e1) % 24.10/6.46 | (519) all_0_29_29 = e1 | all_0_30_30 = e1 | all_0_31_31 = e1 % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (13), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (539) all_0_27_27 = e2 % 24.10/6.46 | % 24.10/6.46 | Equations (539) can reduce 310 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (310) ~ (all_0_27_27 = e2) % 24.10/6.46 | (741) all_0_31_31 = e2 | all_0_35_35 = e2 | all_0_39_39 = e2 % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (741), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (309) all_0_31_31 = e2 % 24.10/6.46 | % 24.10/6.46 | Equations (309) can reduce 817 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (817) ~ (all_0_31_31 = e2) % 24.10/6.46 | (818) all_0_35_35 = e2 | all_0_39_39 = e2 % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (818), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (394) all_0_35_35 = e2 % 24.10/6.46 | % 24.10/6.46 | Equations (394) can reduce 261 to: % 24.10/6.46 | (128) ~ (e2 = e1) % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (113), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (694) all_0_24_24 = e1 % 24.10/6.46 | % 24.10/6.46 | Combining equations (694,332) yields a new equation: % 24.10/6.46 | (343) e2 = e1 % 24.10/6.46 | % 24.10/6.46 | Equations (343) can reduce 128 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (218) ~ (all_0_24_24 = e1) % 24.10/6.46 | (699) all_0_28_28 = e1 | all_0_32_32 = e1 | all_0_36_36 = e1 % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (699), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (348) all_0_28_28 = e1 % 24.10/6.46 | % 24.10/6.46 | Equations (348) can reduce 518 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (518) ~ (all_0_28_28 = e1) % 24.10/6.46 | (1003) all_0_32_32 = e1 | all_0_36_36 = e1 % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (1003), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (438) all_0_32_32 = e1 % 24.10/6.46 | % 24.10/6.46 | Equations (438) can reduce 231 to: % 24.10/6.46 | (691) ~ (e3 = e1) % 24.10/6.46 | % 24.10/6.46 | Simplifying 691 yields: % 24.10/6.46 | (74) ~ (e3 = e1) % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (54), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (408) all_0_32_32 = e3 % 24.10/6.46 | % 24.10/6.46 | Combining equations (438,408) yields a new equation: % 24.10/6.46 | (387) e3 = e1 % 24.10/6.46 | % 24.10/6.46 | Equations (387) can reduce 74 to: % 24.10/6.46 | (188) $false % 24.10/6.46 | % 24.10/6.46 |-The branch is then unsatisfiable % 24.10/6.46 |-Branch two: % 24.10/6.46 | (231) ~ (all_0_32_32 = e3) % 24.10/6.46 | (413) all_0_33_33 = e3 | all_0_34_34 = e3 | all_0_35_35 = e3 % 24.10/6.46 | % 24.10/6.46 +-Applying beta-rule and splitting (413), into two cases. % 24.10/6.46 |-Branch one: % 24.10/6.46 | (374) all_0_33_33 = e3 % 24.10/6.46 | % 24.10/6.47 | Equations (374) can reduce 359 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (359) ~ (all_0_33_33 = e3) % 24.10/6.47 | (1510) all_0_34_34 = e3 | all_0_35_35 = e3 % 24.10/6.47 | % 24.10/6.47 +-Applying beta-rule and splitting (1510), into two cases. % 24.10/6.47 |-Branch one: % 24.10/6.47 | (248) all_0_34_34 = e3 % 24.10/6.47 | % 24.10/6.47 | Equations (248) can reduce 244 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (244) ~ (all_0_34_34 = e3) % 24.10/6.47 | (358) all_0_35_35 = e3 % 24.10/6.47 | % 24.10/6.47 | Combining equations (394,358) yields a new equation: % 24.10/6.47 | (333) e3 = e2 % 24.10/6.47 | % 24.10/6.47 | Equations (333) can reduce 62 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (350) ~ (all_0_32_32 = e1) % 24.10/6.47 | (445) all_0_36_36 = e1 % 24.10/6.47 | % 24.10/6.47 | Combining equations (454,445) yields a new equation: % 24.10/6.47 | (492) e3 = e1 % 24.10/6.47 | % 24.10/6.47 | Simplifying 492 yields: % 24.10/6.47 | (387) e3 = e1 % 24.10/6.47 | % 24.10/6.47 | Equations (387) can reduce 74 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (319) ~ (all_0_35_35 = e2) % 24.10/6.47 | (191) all_0_39_39 = e2 % 24.10/6.47 | % 24.10/6.47 | Combining equations (195,191) yields a new equation: % 24.10/6.47 | (343) e2 = e1 % 24.10/6.47 | % 24.10/6.47 | Equations (343) can reduce 128 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (257) ~ (all_0_26_26 = e1) % 24.10/6.47 | (321) all_0_26_26 = e0 % 24.10/6.47 | % 24.10/6.47 | Equations (321) can reduce 541 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (306) all_0_29_29 = e0 % 24.10/6.47 | (309) all_0_31_31 = e2 % 24.10/6.47 | % 24.10/6.47 | Equations (309) can reduce 817 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (552) ~ (all_0_30_30 = e2) % 24.10/6.47 | (1454) all_0_34_34 = e2 | all_0_38_38 = e2 % 24.10/6.47 | % 24.10/6.47 +-Applying beta-rule and splitting (1454), into two cases. % 24.10/6.47 |-Branch one: % 24.10/6.47 | (252) all_0_34_34 = e2 % 24.10/6.47 | % 24.10/6.47 | Equations (252) can reduce 247 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (247) ~ (all_0_34_34 = e2) % 24.10/6.47 | (576) all_0_38_38 = e2 % 24.10/6.47 | % 24.10/6.47 | Combining equations (576,583) yields a new equation: % 24.10/6.47 | (535) e2 = e0 % 24.10/6.47 | % 24.10/6.47 | Simplifying 535 yields: % 24.10/6.47 | (536) e2 = e0 % 24.10/6.47 | % 24.10/6.47 | Equations (536) can reduce 87 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (233) ~ (all_0_36_36 = e3) % 24.10/6.47 | (477) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3 % 24.10/6.47 | % 24.10/6.47 +-Applying beta-rule and splitting (126), into two cases. % 24.10/6.47 |-Branch one: % 24.10/6.47 | (694) all_0_24_24 = e1 % 24.10/6.47 | % 24.10/6.47 | Combining equations (332,694) yields a new equation: % 24.10/6.47 | (484) e2 = e1 % 24.10/6.47 | % 24.10/6.47 | Simplifying 484 yields: % 24.10/6.47 | (343) e2 = e1 % 24.10/6.47 | % 24.10/6.47 | Equations (343) can reduce 128 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (218) ~ (all_0_24_24 = e1) % 24.10/6.47 | (946) all_0_25_25 = e1 | all_0_26_26 = e1 | all_0_27_27 = e1 % 24.10/6.47 | % 24.10/6.47 +-Applying beta-rule and splitting (946), into two cases. % 24.10/6.47 |-Branch one: % 24.10/6.47 | (342) all_0_25_25 = e1 % 24.10/6.47 | % 24.10/6.47 | Combining equations (363,342) yields a new equation: % 24.10/6.47 | (492) e3 = e1 % 24.10/6.47 | % 24.10/6.47 | Simplifying 492 yields: % 24.10/6.47 | (387) e3 = e1 % 24.10/6.47 | % 24.10/6.47 | Equations (387) can reduce 74 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (345) ~ (all_0_25_25 = e1) % 24.10/6.47 | (950) all_0_26_26 = e1 | all_0_27_27 = e1 % 24.10/6.47 | % 24.10/6.47 +-Applying beta-rule and splitting (950), into two cases. % 24.10/6.47 |-Branch one: % 24.10/6.47 | (587) all_0_26_26 = e1 % 24.10/6.47 | % 24.10/6.47 | Equations (587) can reduce 131 to: % 24.10/6.47 | (1194) ~ (all_0_34_34 = e1) % 24.10/6.47 | % 24.10/6.47 | Simplifying 1194 yields: % 24.10/6.47 | (619) ~ (all_0_34_34 = e1) % 24.10/6.47 | % 24.10/6.47 +-Applying beta-rule and splitting (477), into two cases. % 24.10/6.47 |-Branch one: % 24.10/6.47 | (377) all_0_37_37 = e3 % 24.10/6.47 | % 24.10/6.47 | Combining equations (377,814) yields a new equation: % 24.10/6.47 | (364) e3 = e2 % 24.10/6.47 | % 24.10/6.47 | Simplifying 364 yields: % 24.10/6.47 | (333) e3 = e2 % 24.10/6.47 | % 24.10/6.47 | Equations (333) can reduce 62 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (481) ~ (all_0_37_37 = e3) % 24.10/6.47 | (482) all_0_38_38 = e3 | all_0_39_39 = e3 % 24.10/6.47 | % 24.10/6.47 +-Applying beta-rule and splitting (135), into two cases. % 24.10/6.47 |-Branch one: % 24.10/6.47 | (248) all_0_34_34 = e3 % 24.10/6.47 | % 24.10/6.47 | Equations (248) can reduce 166 to: % 24.10/6.47 | (231) ~ (all_0_32_32 = e3) % 24.10/6.47 | % 24.10/6.47 | Equations (248) can reduce 245 to: % 24.10/6.47 | (79) ~ (e3 = e0) % 24.10/6.47 | % 24.10/6.47 +-Applying beta-rule and splitting (154), into two cases. % 24.10/6.47 |-Branch one: % 24.10/6.47 | (244) ~ (all_0_34_34 = e3) % 24.10/6.47 | % 24.10/6.47 | Equations (248) can reduce 244 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (248) all_0_34_34 = e3 % 24.10/6.47 | (438) all_0_32_32 = e1 % 24.10/6.47 | % 24.10/6.47 | Equations (438) can reduce 231 to: % 24.10/6.47 | (691) ~ (e3 = e1) % 24.10/6.47 | % 24.10/6.47 | Simplifying 691 yields: % 24.10/6.47 | (74) ~ (e3 = e1) % 24.10/6.47 | % 24.10/6.47 +-Applying beta-rule and splitting (482), into two cases. % 24.10/6.47 |-Branch one: % 24.10/6.47 | (489) all_0_38_38 = e3 % 24.10/6.47 | % 24.10/6.47 | Combining equations (489,583) yields a new equation: % 24.10/6.47 | (425) e3 = e0 % 24.10/6.47 | % 24.10/6.47 | Simplifying 425 yields: % 24.10/6.47 | (370) e3 = e0 % 24.10/6.47 | % 24.10/6.47 | Equations (370) can reduce 79 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (499) ~ (all_0_38_38 = e3) % 24.10/6.47 | (187) all_0_39_39 = e3 % 24.10/6.47 | % 24.10/6.47 | Combining equations (195,187) yields a new equation: % 24.10/6.47 | (387) e3 = e1 % 24.10/6.47 | % 24.10/6.47 | Equations (387) can reduce 74 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (244) ~ (all_0_34_34 = e3) % 24.10/6.47 | (251) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0 % 24.10/6.47 | % 24.10/6.47 +-Applying beta-rule and splitting (251), into two cases. % 24.10/6.47 |-Branch one: % 24.10/6.47 | (252) all_0_34_34 = e2 % 24.10/6.47 | % 24.10/6.47 | Equations (252) can reduce 247 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (247) ~ (all_0_34_34 = e2) % 24.10/6.47 | (255) all_0_34_34 = e1 | all_0_34_34 = e0 % 24.10/6.47 | % 24.10/6.47 +-Applying beta-rule and splitting (255), into two cases. % 24.10/6.47 |-Branch one: % 24.10/6.47 | (256) all_0_34_34 = e1 % 24.10/6.47 | % 24.10/6.47 | Equations (256) can reduce 619 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (619) ~ (all_0_34_34 = e1) % 24.10/6.47 | (620) all_0_34_34 = e0 % 24.10/6.47 | % 24.10/6.47 | Equations (620) can reduce 245 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (257) ~ (all_0_26_26 = e1) % 24.10/6.47 | (354) all_0_27_27 = e1 % 24.10/6.47 | % 24.10/6.47 | Equations (354) can reduce 443 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (339) ~ (all_0_37_37 = e2) % 24.10/6.47 | (2755) all_0_37_37 = e1 | all_0_37_37 = e0 % 24.10/6.47 | % 24.10/6.47 +-Applying beta-rule and splitting (2755), into two cases. % 24.10/6.47 |-Branch one: % 24.10/6.47 | (386) all_0_37_37 = e1 % 24.10/6.47 | % 24.10/6.47 | Equations (386) can reduce 504 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (504) ~ (all_0_37_37 = e1) % 24.10/6.47 | (886) all_0_37_37 = e0 % 24.10/6.47 | % 24.10/6.47 | Equations (886) can reduce 203 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (252) all_0_34_34 = e2 % 24.10/6.47 | (383) all_0_33_33 = e1 % 24.10/6.47 | % 24.10/6.47 | Combining equations (252,7879) yields a new equation: % 24.10/6.47 | (5801) all_0_1_1 = e2 % 24.10/6.47 | % 24.10/6.47 | Equations (383) can reduce 182 to: % 24.10/6.47 | (1149) ~ (all_0_37_37 = e1) % 24.10/6.47 | % 24.10/6.47 | Simplifying 1149 yields: % 24.10/6.47 | (504) ~ (all_0_37_37 = e1) % 24.10/6.47 | % 24.10/6.47 | From (252) and (7880) follows: % 24.10/6.47 | (5822) op(e0, e2) = all_0_0_0 % 24.10/6.47 | % 24.10/6.47 +-Applying beta-rule and splitting (171), into two cases. % 24.10/6.47 |-Branch one: % 24.10/6.47 | (9715) ~ (all_0_0_0 = e3) % 24.10/6.47 | % 24.10/6.47 | Instantiating formula (58) with e0, e2, all_0_0_0, all_0_37_37 and discharging atoms op(e0, e2) = all_0_0_0, op(e0, e2) = all_0_37_37, yields: % 24.10/6.47 | (5824) all_0_0_0 = all_0_37_37 % 24.10/6.47 | % 24.10/6.47 | Equations (5824) can reduce 9715 to: % 24.10/6.47 | (481) ~ (all_0_37_37 = e3) % 24.10/6.47 | % 24.10/6.47 +-Applying beta-rule and splitting (107), into two cases. % 24.10/6.47 |-Branch one: % 24.10/6.47 | (454) all_0_36_36 = e3 % 24.10/6.47 | % 24.10/6.47 | Equations (454) can reduce 68 to: % 24.10/6.47 | (1876) ~ (all_0_24_24 = e3) % 24.10/6.47 | % 24.10/6.47 | Equations (454) can reduce 169 to: % 24.10/6.47 | (1388) ~ (all_0_37_37 = e3) % 24.10/6.47 | % 24.10/6.47 | Simplifying 1388 yields: % 24.10/6.47 | (481) ~ (all_0_37_37 = e3) % 24.10/6.47 | % 24.10/6.47 +-Applying beta-rule and splitting (111), into two cases. % 24.10/6.47 |-Branch one: % 24.10/6.47 | (377) all_0_37_37 = e3 % 24.10/6.47 | % 24.10/6.47 | Equations (377) can reduce 481 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (481) ~ (all_0_37_37 = e3) % 24.10/6.47 | (2566) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0 % 24.10/6.47 | % 24.10/6.47 +-Applying beta-rule and splitting (2566), into two cases. % 24.10/6.47 |-Branch one: % 24.10/6.47 | (814) all_0_37_37 = e2 % 24.10/6.47 | % 24.10/6.47 | Equations (814) can reduce 35 to: % 24.10/6.47 | (301) ~ (all_0_29_29 = e2) % 24.10/6.47 | % 24.10/6.47 | Equations (814) can reduce 504 to: % 24.10/6.47 | (128) ~ (e2 = e1) % 24.10/6.47 | % 24.10/6.47 +-Applying beta-rule and splitting (67), into two cases. % 24.10/6.47 |-Branch one: % 24.10/6.47 | (221) all_0_24_24 = e3 % 24.10/6.47 | % 24.10/6.47 | Equations (221) can reduce 1876 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (1876) ~ (all_0_24_24 = e3) % 24.10/6.47 | (5657) all_0_29_29 = e2 | all_0_34_34 = e1 | all_0_39_39 = e0 % 24.10/6.47 | % 24.10/6.47 +-Applying beta-rule and splitting (5657), into two cases. % 24.10/6.47 |-Branch one: % 24.10/6.47 | (291) all_0_29_29 = e2 % 24.10/6.47 | % 24.10/6.47 | Equations (291) can reduce 301 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (301) ~ (all_0_29_29 = e2) % 24.10/6.47 | (5663) all_0_34_34 = e1 | all_0_39_39 = e0 % 24.10/6.47 | % 24.10/6.47 +-Applying beta-rule and splitting (5663), into two cases. % 24.10/6.47 |-Branch one: % 24.10/6.47 | (256) all_0_34_34 = e1 % 24.10/6.47 | % 24.10/6.47 | Combining equations (256,252) yields a new equation: % 24.10/6.47 | (343) e2 = e1 % 24.10/6.47 | % 24.10/6.47 | Equations (343) can reduce 128 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (619) ~ (all_0_34_34 = e1) % 24.10/6.47 | (198) all_0_39_39 = e0 % 24.10/6.47 | % 24.10/6.47 | Combining equations (195,198) yields a new equation: % 24.10/6.47 | (510) e1 = e0 % 24.10/6.47 | % 24.10/6.47 | Simplifying 510 yields: % 24.10/6.47 | (379) e1 = e0 % 24.10/6.47 | % 24.10/6.47 | Equations (379) can reduce 153 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (339) ~ (all_0_37_37 = e2) % 24.10/6.47 | (2755) all_0_37_37 = e1 | all_0_37_37 = e0 % 24.10/6.47 | % 24.10/6.47 +-Applying beta-rule and splitting (2755), into two cases. % 24.10/6.47 |-Branch one: % 24.10/6.47 | (386) all_0_37_37 = e1 % 24.10/6.47 | % 24.10/6.47 | Equations (386) can reduce 504 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (504) ~ (all_0_37_37 = e1) % 24.10/6.47 | (886) all_0_37_37 = e0 % 24.10/6.47 | % 24.10/6.47 | Equations (886) can reduce 203 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (233) ~ (all_0_36_36 = e3) % 24.10/6.47 | (477) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3 % 24.10/6.47 | % 24.10/6.47 +-Applying beta-rule and splitting (477), into two cases. % 24.10/6.47 |-Branch one: % 24.10/6.47 | (377) all_0_37_37 = e3 % 24.10/6.47 | % 24.10/6.47 | Equations (377) can reduce 481 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (481) ~ (all_0_37_37 = e3) % 24.10/6.47 | (482) all_0_38_38 = e3 | all_0_39_39 = e3 % 24.10/6.47 | % 24.10/6.47 +-Applying beta-rule and splitting (482), into two cases. % 24.10/6.47 |-Branch one: % 24.10/6.47 | (489) all_0_38_38 = e3 % 24.10/6.47 | % 24.10/6.47 | Combining equations (489,583) yields a new equation: % 24.10/6.47 | (425) e3 = e0 % 24.10/6.47 | % 24.10/6.47 | Simplifying 425 yields: % 24.10/6.47 | (370) e3 = e0 % 24.10/6.47 | % 24.10/6.47 | Equations (370) can reduce 79 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.47 | (499) ~ (all_0_38_38 = e3) % 24.10/6.47 | (187) all_0_39_39 = e3 % 24.10/6.47 | % 24.10/6.47 | Combining equations (195,187) yields a new equation: % 24.10/6.47 | (387) e3 = e1 % 24.10/6.47 | % 24.10/6.47 | Equations (387) can reduce 74 to: % 24.10/6.47 | (188) $false % 24.10/6.47 | % 24.10/6.47 |-The branch is then unsatisfiable % 24.10/6.47 |-Branch two: % 24.10/6.48 | (9766) all_0_0_0 = e3 % 24.10/6.48 | (9767) ~ (all_0_1_1 = e2) | ~ (all_0_39_39 = e1) % 24.10/6.48 | % 24.10/6.48 +-Applying beta-rule and splitting (9767), into two cases. % 24.10/6.48 |-Branch one: % 24.10/6.48 | (6098) ~ (all_0_1_1 = e2) % 24.10/6.48 | % 24.10/6.48 | Equations (5801) can reduce 6098 to: % 24.10/6.48 | (188) $false % 24.10/6.48 | % 24.10/6.48 |-The branch is then unsatisfiable % 24.10/6.48 |-Branch two: % 24.10/6.48 | (5801) all_0_1_1 = e2 % 24.10/6.48 | (184) ~ (all_0_39_39 = e1) % 24.10/6.48 | % 24.10/6.48 | Equations (195) can reduce 184 to: % 24.10/6.48 | (188) $false % 24.10/6.48 | % 24.10/6.48 |-The branch is then unsatisfiable % 24.10/6.48 |-Branch two: % 24.10/6.48 | (303) all_0_29_29 = e1 % 24.10/6.48 | (565) all_0_30_30 = e2 % 24.10/6.48 | % 24.10/6.48 | Equations (303) can reduce 47 to: % 24.10/6.48 | (345) ~ (all_0_25_25 = e1) % 24.10/6.48 | % 24.10/6.48 | Equations (565) can reduce 151 to: % 24.10/6.48 | (538) ~ (all_0_26_26 = e2) % 24.10/6.48 | % 24.10/6.48 | Equations (303) can reduce 118 to: % 24.10/6.48 | (518) ~ (all_0_28_28 = e1) % 24.10/6.48 | % 24.10/6.48 | Equations (565) can reduce 159 to: % 24.10/6.48 | (852) ~ (all_0_28_28 = e2) % 24.10/6.48 | % 24.10/6.48 | Equations (303,565) can reduce 133 to: % 24.10/6.48 | (264) ~ (e2 = e1) % 24.10/6.48 | % 24.10/6.48 | Simplifying 264 yields: % 24.10/6.48 | (128) ~ (e2 = e1) % 24.10/6.48 | % 24.10/6.48 | Equations (303) can reduce 53 to: % 24.10/6.48 | (722) ~ (all_0_31_31 = e1) % 24.10/6.48 | % 24.10/6.48 | Simplifying 722 yields: % 24.10/6.48 | (487) ~ (all_0_31_31 = e1) % 24.10/6.48 | % 24.10/6.48 | Equations (303) can reduce 108 to: % 24.10/6.48 | (2305) ~ (all_0_33_33 = e1) % 24.10/6.48 | % 24.10/6.48 | Simplifying 2305 yields: % 24.10/6.48 | (259) ~ (all_0_33_33 = e1) % 24.10/6.48 | % 24.10/6.48 | Equations (303) can reduce 35 to: % 24.10/6.48 | (1149) ~ (all_0_37_37 = e1) % 24.10/6.48 | % 24.10/6.48 | Simplifying 1149 yields: % 24.10/6.48 | (504) ~ (all_0_37_37 = e1) % 24.10/6.48 | % 24.10/6.48 | Equations (565) can reduce 168 to: % 24.10/6.48 | (1045) ~ (all_0_31_31 = e2) % 24.10/6.48 | % 24.10/6.48 | Simplifying 1045 yields: % 24.10/6.48 | (817) ~ (all_0_31_31 = e2) % 24.10/6.48 | % 24.10/6.48 | Equations (565) can reduce 139 to: % 24.10/6.48 | (3653) ~ (all_0_34_34 = e2) % 24.10/6.48 | % 24.10/6.48 | Simplifying 3653 yields: % 24.10/6.48 | (247) ~ (all_0_34_34 = e2) % 24.10/6.48 | % 24.10/6.48 | Equations (565) can reduce 15 to: % 24.10/6.48 | (553) ~ (all_0_38_38 = e2) % 24.10/6.48 | % 24.10/6.48 | Simplifying 553 yields: % 24.10/6.48 | (554) ~ (all_0_38_38 = e2) % 24.10/6.48 | % 24.10/6.48 | From (303)(303) and (45) follows: % 24.10/6.48 | (9793) op(e1, e1) = all_0_5_5 % 24.10/6.48 | % 24.10/6.48 | From (303) and (50) follows: % 24.10/6.48 | (9794) op(e2, e1) = all_0_13_13 % 24.10/6.48 | % 24.10/6.48 | From (303) and (178) follows: % 24.10/6.48 | (9795) op(e2, e2) = e1 % 24.10/6.48 | % 24.10/6.48 | From (565) and (122) follows: % 24.10/6.48 | (9796) op(e2, e1) = e2 % 24.10/6.48 | % 24.10/6.48 | From (565) and (21) follows: % 24.10/6.48 | (9797) op(e1, e2) = all_0_14_14 % 24.10/6.48 | % 24.10/6.48 | Instantiating formula (58) with e2, e1, e2, all_0_13_13 and discharging atoms op(e2, e1) = all_0_13_13, op(e2, e1) = e2, yields: % 24.10/6.48 | (299) all_0_13_13 = e2 % 24.10/6.48 | % 24.10/6.48 | Instantiating formula (58) with e1, e2, all_0_14_14, all_0_33_33 and discharging atoms op(e1, e2) = all_0_14_14, op(e1, e2) = all_0_33_33, yields: % 24.10/6.48 | (9799) all_0_14_14 = all_0_33_33 % 24.10/6.48 | % 24.10/6.48 | Instantiating formula (58) with e1, e1, all_0_5_5, all_0_34_34 and discharging atoms op(e1, e1) = all_0_5_5, op(e1, e1) = all_0_34_34, yields: % 24.10/6.48 | (9800) all_0_5_5 = all_0_34_34 % 24.10/6.48 | % 24.10/6.48 | From (9800) and (5) follows: % 24.10/6.48 | (9801) op(e2, all_0_34_34) = all_0_4_4 % 24.10/6.48 | % 24.10/6.48 | From (9800) and (9793) follows: % 24.10/6.48 | (91) op(e1, e1) = all_0_34_34 % 24.10/6.48 | % 24.35/6.48 +-Applying beta-rule and splitting (154), into two cases. % 24.35/6.48 |-Branch one: % 24.35/6.48 | (244) ~ (all_0_34_34 = e3) % 24.35/6.48 | % 24.35/6.48 +-Applying beta-rule and splitting (167), into two cases. % 24.35/6.48 |-Branch one: % 24.35/6.48 | (184) ~ (all_0_39_39 = e1) % 24.35/6.48 | % 24.35/6.48 +-Applying beta-rule and splitting (69), into two cases. % 24.35/6.48 |-Branch one: % 24.35/6.48 | (185) ~ (all_0_39_39 = e2) % 24.35/6.48 | % 24.35/6.48 +-Applying beta-rule and splitting (100), into two cases. % 24.35/6.48 |-Branch one: % 24.35/6.48 | (186) ~ (all_0_39_39 = e3) % 24.35/6.48 | % 24.35/6.48 +-Applying beta-rule and splitting (37), into two cases. % 24.35/6.48 |-Branch one: % 24.35/6.48 | (187) all_0_39_39 = e3 % 24.35/6.48 | % 24.35/6.48 | Equations (187) can reduce 186 to: % 24.35/6.48 | (188) $false % 24.35/6.48 | % 24.35/6.48 |-The branch is then unsatisfiable % 24.35/6.48 |-Branch two: % 24.35/6.48 | (186) ~ (all_0_39_39 = e3) % 24.35/6.48 | (190) all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0 % 24.35/6.48 | % 24.35/6.48 +-Applying beta-rule and splitting (190), into two cases. % 24.35/6.48 |-Branch one: % 24.35/6.48 | (191) all_0_39_39 = e2 % 24.35/6.48 | % 24.35/6.48 | Equations (191) can reduce 185 to: % 24.35/6.48 | (188) $false % 24.35/6.48 | % 24.35/6.48 |-The branch is then unsatisfiable % 24.35/6.48 |-Branch two: % 24.35/6.48 | (185) ~ (all_0_39_39 = e2) % 24.35/6.48 | (194) all_0_39_39 = e1 | all_0_39_39 = e0 % 24.35/6.48 | % 24.35/6.48 +-Applying beta-rule and splitting (194), into two cases. % 24.35/6.48 |-Branch one: % 24.35/6.48 | (195) all_0_39_39 = e1 % 24.35/6.48 | % 24.35/6.48 | Equations (195) can reduce 184 to: % 24.35/6.48 | (188) $false % 24.35/6.48 | % 24.35/6.48 |-The branch is then unsatisfiable % 24.35/6.48 |-Branch two: % 24.35/6.48 | (184) ~ (all_0_39_39 = e1) % 24.35/6.48 | (198) all_0_39_39 = e0 % 24.35/6.48 | % 24.35/6.48 | Equations (198) can reduce 145 to: % 24.35/6.48 | (199) ~ (all_0_27_27 = e0) % 24.35/6.48 | % 24.35/6.48 | Equations (198) can reduce 8 to: % 24.35/6.48 | (200) ~ (all_0_31_31 = e0) % 24.35/6.48 | % 24.35/6.48 | Equations (198) can reduce 125 to: % 24.35/6.48 | (201) ~ (all_0_35_35 = e0) % 24.35/6.48 | % 24.35/6.48 | Equations (198) can reduce 64 to: % 24.35/6.48 | (203) ~ (all_0_37_37 = e0) % 24.35/6.48 | % 24.35/6.48 +-Applying beta-rule and splitting (10), into two cases. % 24.35/6.48 |-Branch one: % 24.35/6.48 | (416) all_0_31_31 = e3 % 24.35/6.48 | % 24.35/6.48 | Equations (416) can reduce 30 to: % 24.35/6.48 | (229) ~ (all_0_28_28 = e3) % 24.35/6.48 | % 24.35/6.48 | Equations (416) can reduce 147 to: % 24.35/6.48 | (1903) ~ (all_0_35_35 = e3) % 24.35/6.48 | % 24.35/6.48 | Simplifying 1903 yields: % 24.35/6.48 | (389) ~ (all_0_35_35 = e3) % 24.35/6.48 | % 24.35/6.48 | Equations (416) can reduce 817 to: % 24.35/6.48 | (62) ~ (e3 = e2) % 24.35/6.48 | % 24.35/6.48 | From (416) and (177) follows: % 24.35/6.48 | (9828) op(e2, e0) = e3 % 24.35/6.48 | % 24.35/6.48 +-Applying beta-rule and splitting (27), into two cases. % 24.35/6.48 |-Branch one: % 24.35/6.48 | (763) all_0_28_28 = e0 % 24.35/6.48 | % 24.35/6.48 | Equations (763) can reduce 9 to: % 24.35/6.48 | (220) ~ (all_0_24_24 = e0) % 24.35/6.48 | % 24.35/6.48 | Equations (763) can reduce 95 to: % 24.35/6.48 | (1376) ~ (all_0_32_32 = e0) % 24.35/6.48 | % 24.35/6.48 | Simplifying 1376 yields: % 24.35/6.48 | (403) ~ (all_0_32_32 = e0) % 24.35/6.48 | % 24.35/6.48 | Equations (763) can reduce 229 to: % 24.35/6.48 | (205) ~ (e3 = e0) % 24.35/6.48 | % 24.35/6.48 | Simplifying 205 yields: % 24.35/6.48 | (79) ~ (e3 = e0) % 24.35/6.48 | % 24.35/6.48 | Equations (763) can reduce 518 to: % 24.35/6.48 | (209) ~ (e1 = e0) % 24.35/6.48 | % 24.35/6.48 | Simplifying 209 yields: % 24.35/6.48 | (153) ~ (e1 = e0) % 24.35/6.48 | % 24.35/6.48 +-Applying beta-rule and splitting (146), into two cases. % 24.35/6.48 |-Branch one: % 24.35/6.48 | (245) ~ (all_0_34_34 = e0) % 24.35/6.48 | % 24.35/6.48 +-Applying beta-rule and splitting (56), into two cases. % 24.35/6.48 |-Branch one: % 24.35/6.48 | (321) all_0_26_26 = e0 % 24.35/6.48 | % 24.35/6.48 | Equations (321) can reduce 60 to: % 24.35/6.48 | (220) ~ (all_0_24_24 = e0) % 24.35/6.48 | % 24.35/6.48 | Equations (321) can reduce 71 to: % 24.35/6.48 | (726) ~ (all_0_25_25 = e0) % 24.35/6.48 | % 24.35/6.48 | From (321) and (176) follows: % 24.35/6.48 | (9841) op(e3, e1) = e0 % 24.35/6.48 | % 24.35/6.48 +-Applying beta-rule and splitting (94), into two cases. % 24.35/6.48 |-Branch one: % 24.35/6.48 | (758) all_0_25_25 = e0 % 24.35/6.48 | % 24.35/6.48 | Equations (758) can reduce 726 to: % 24.35/6.48 | (188) $false % 24.35/6.48 | % 24.35/6.48 |-The branch is then unsatisfiable % 24.35/6.48 |-Branch two: % 24.35/6.48 | (726) ~ (all_0_25_25 = e0) % 24.35/6.48 | (762) all_0_29_29 = e0 | all_0_33_33 = e0 | all_0_37_37 = e0 % 24.35/6.48 | % 24.35/6.48 +-Applying beta-rule and splitting (762), into two cases. % 24.35/6.48 |-Branch one: % 24.35/6.48 | (306) all_0_29_29 = e0 % 24.35/6.48 | % 24.35/6.48 | Combining equations (303,306) yields a new equation: % 24.35/6.48 | (510) e1 = e0 % 24.35/6.48 | % 24.35/6.48 | Simplifying 510 yields: % 24.35/6.48 | (379) e1 = e0 % 24.35/6.48 | % 24.35/6.48 | Equations (379) can reduce 153 to: % 24.35/6.48 | (188) $false % 24.35/6.48 | % 24.35/6.48 |-The branch is then unsatisfiable % 24.35/6.48 |-Branch two: % 24.35/6.48 | (286) ~ (all_0_29_29 = e0) % 24.35/6.48 | (790) all_0_33_33 = e0 | all_0_37_37 = e0 % 24.35/6.48 | % 24.35/6.48 +-Applying beta-rule and splitting (790), into two cases. % 24.35/6.48 |-Branch one: % 24.35/6.48 | (882) all_0_33_33 = e0 % 24.35/6.48 | % 24.35/6.48 | Equations (882) can reduce 106 to: % 24.35/6.48 | (392) ~ (all_0_35_35 = e0) % 24.35/6.48 | % 24.35/6.48 | Simplifying 392 yields: % 24.35/6.48 | (201) ~ (all_0_35_35 = e0) % 24.35/6.48 | % 24.35/6.48 | Equations (882) can reduce 259 to: % 24.35/6.48 | (209) ~ (e1 = e0) % 24.35/6.48 | % 24.35/6.48 | Simplifying 209 yields: % 24.35/6.48 | (153) ~ (e1 = e0) % 24.35/6.48 | % 24.35/6.48 +-Applying beta-rule and splitting (132), into two cases. % 24.35/6.48 |-Branch one: % 24.35/6.48 | (218) ~ (all_0_24_24 = e1) % 24.35/6.48 | % 24.35/6.48 +-Applying beta-rule and splitting (54), into two cases. % 24.35/6.48 |-Branch one: % 24.35/6.48 | (408) all_0_32_32 = e3 % 24.35/6.48 | % 24.35/6.48 | Equations (408) can reduce 102 to: % 24.35/6.48 | (1876) ~ (all_0_24_24 = e3) % 24.35/6.48 | % 24.35/6.48 +-Applying beta-rule and splitting (14), into two cases. % 24.35/6.48 |-Branch one: % 24.35/6.48 | (405) all_0_32_32 = e2 % 24.35/6.48 | % 24.35/6.48 | Combining equations (408,405) yields a new equation: % 24.35/6.48 | (364) e3 = e2 % 24.35/6.48 | % 24.35/6.48 | Simplifying 364 yields: % 24.35/6.48 | (333) e3 = e2 % 24.35/6.48 | % 24.35/6.48 | Equations (333) can reduce 62 to: % 24.35/6.48 | (188) $false % 24.35/6.49 | % 24.35/6.49 |-The branch is then unsatisfiable % 24.35/6.49 |-Branch two: % 24.35/6.49 | (428) ~ (all_0_32_32 = e2) % 24.35/6.49 | (429) all_0_33_33 = e2 | all_0_34_34 = e2 | all_0_35_35 = e2 % 24.35/6.49 | % 24.35/6.49 +-Applying beta-rule and splitting (17), into two cases. % 24.35/6.49 |-Branch one: % 24.35/6.49 | (221) all_0_24_24 = e3 % 24.35/6.49 | % 24.35/6.49 | Equations (221) can reduce 1876 to: % 24.35/6.49 | (188) $false % 24.35/6.49 | % 24.35/6.49 |-The branch is then unsatisfiable % 24.35/6.49 |-Branch two: % 24.35/6.49 | (1876) ~ (all_0_24_24 = e3) % 24.35/6.49 | (1877) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0 % 24.35/6.49 | % 24.35/6.49 +-Applying beta-rule and splitting (113), into two cases. % 24.35/6.49 |-Branch one: % 24.35/6.49 | (694) all_0_24_24 = e1 % 24.35/6.49 | % 24.35/6.49 | Equations (694) can reduce 218 to: % 24.35/6.49 | (188) $false % 24.35/6.49 | % 24.35/6.49 |-The branch is then unsatisfiable % 24.35/6.49 |-Branch two: % 24.35/6.49 | (218) ~ (all_0_24_24 = e1) % 24.35/6.49 | (699) all_0_28_28 = e1 | all_0_32_32 = e1 | all_0_36_36 = e1 % 24.35/6.49 | % 24.35/6.49 +-Applying beta-rule and splitting (126), into two cases. % 24.35/6.49 |-Branch one: % 24.35/6.49 | (694) all_0_24_24 = e1 % 24.35/6.49 | % 24.35/6.49 | Equations (694) can reduce 218 to: % 24.35/6.49 | (188) $false % 24.35/6.49 | % 24.35/6.49 |-The branch is then unsatisfiable % 24.35/6.49 |-Branch two: % 24.35/6.49 | (218) ~ (all_0_24_24 = e1) % 24.35/6.49 | (946) all_0_25_25 = e1 | all_0_26_26 = e1 | all_0_27_27 = e1 % 24.35/6.49 | % 24.35/6.49 +-Applying beta-rule and splitting (1877), into two cases. % 24.35/6.49 |-Branch one: % 24.35/6.49 | (332) all_0_24_24 = e2 % 24.35/6.49 | % 24.35/6.49 | Equations (332) can reduce 68 to: % 24.35/6.49 | (1049) ~ (all_0_36_36 = e2) % 24.35/6.49 | % 24.35/6.49 | Simplifying 1049 yields: % 24.35/6.49 | (828) ~ (all_0_36_36 = e2) % 24.35/6.49 | % 24.35/6.49 | Equations (332) can reduce 220 to: % 24.35/6.49 | (87) ~ (e2 = e0) % 24.35/6.49 | % 24.35/6.49 | From (332)(332) and (143) follows: % 24.35/6.49 | (2995) op(e2, e2) = all_0_7_7 % 24.35/6.49 | % 24.35/6.49 +-Applying beta-rule and splitting (163), into two cases. % 24.35/6.49 |-Branch one: % 24.35/6.49 | (219) ~ (all_0_24_24 = e2) % 24.35/6.49 | % 24.35/6.49 | Equations (332) can reduce 219 to: % 24.35/6.49 | (188) $false % 24.35/6.49 | % 24.35/6.49 |-The branch is then unsatisfiable % 24.35/6.49 |-Branch two: % 24.35/6.49 | (332) all_0_24_24 = e2 % 24.35/6.49 | (363) all_0_25_25 = e3 % 24.35/6.49 | % 24.35/6.49 | Equations (363) can reduce 345 to: % 24.35/6.49 | (74) ~ (e3 = e1) % 24.35/6.49 | % 24.35/6.49 +-Applying beta-rule and splitting (429), into two cases. % 24.35/6.49 |-Branch one: % 24.35/6.49 | (810) all_0_33_33 = e2 % 24.35/6.49 | % 24.35/6.49 | Combining equations (882,810) yields a new equation: % 24.35/6.49 | (536) e2 = e0 % 24.35/6.49 | % 24.35/6.49 | Equations (536) can reduce 87 to: % 24.35/6.49 | (188) $false % 24.35/6.49 | % 24.35/6.49 |-The branch is then unsatisfiable % 24.35/6.49 |-Branch two: % 24.35/6.49 | (813) ~ (all_0_33_33 = e2) % 24.35/6.49 | (1658) all_0_34_34 = e2 | all_0_35_35 = e2 % 24.35/6.49 | % 24.35/6.49 +-Applying beta-rule and splitting (98), into two cases. % 24.35/6.49 |-Branch one: % 24.35/6.49 | (732) all_0_36_36 = e2 % 24.35/6.49 | % 24.35/6.49 | Equations (732) can reduce 828 to: % 24.35/6.49 | (188) $false % 24.35/6.49 | % 24.35/6.49 |-The branch is then unsatisfiable % 24.35/6.49 |-Branch two: % 24.35/6.49 | (828) ~ (all_0_36_36 = e2) % 24.35/6.49 | (829) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2 % 24.35/6.49 | % 24.35/6.49 +-Applying beta-rule and splitting (829), into two cases. % 24.35/6.49 |-Branch one: % 24.35/6.49 | (814) all_0_37_37 = e2 % 24.35/6.49 | % 24.35/6.49 | From (814) and (92) follows: % 24.35/6.49 | (9898) op(e2, e2) = all_0_21_21 % 24.35/6.49 | % 24.35/6.49 +-Applying beta-rule and splitting (699), into two cases. % 24.35/6.49 |-Branch one: % 24.35/6.49 | (348) all_0_28_28 = e1 % 24.35/6.49 | % 24.35/6.49 | Combining equations (763,348) yields a new equation: % 24.35/6.49 | (379) e1 = e0 % 24.35/6.49 | % 24.35/6.49 | Equations (379) can reduce 153 to: % 24.35/6.49 | (188) $false % 24.35/6.49 | % 24.35/6.49 |-The branch is then unsatisfiable % 24.35/6.49 |-Branch two: % 24.35/6.49 | (518) ~ (all_0_28_28 = e1) % 24.35/6.49 | (1003) all_0_32_32 = e1 | all_0_36_36 = e1 % 24.35/6.49 | % 24.35/6.49 +-Applying beta-rule and splitting (1003), into two cases. % 24.35/6.49 |-Branch one: % 24.35/6.49 | (438) all_0_32_32 = e1 % 24.35/6.49 | % 24.35/6.49 | Combining equations (408,438) yields a new equation: % 24.35/6.49 | (492) e3 = e1 % 24.35/6.49 | % 24.35/6.49 | Simplifying 492 yields: % 24.35/6.49 | (387) e3 = e1 % 24.35/6.49 | % 24.35/6.49 | Equations (387) can reduce 74 to: % 24.35/6.49 | (188) $false % 24.35/6.49 | % 24.35/6.49 |-The branch is then unsatisfiable % 24.35/6.49 |-Branch two: % 24.35/6.49 | (350) ~ (all_0_32_32 = e1) % 24.35/6.49 | (445) all_0_36_36 = e1 % 24.35/6.49 | % 24.35/6.49 | From (445) and (86) follows: % 24.35/6.49 | (7676) op(e3, e1) = all_0_20_20 % 24.35/6.49 | % 24.35/6.49 | Instantiating formula (58) with e3, e1, e0, all_0_20_20 and discharging atoms op(e3, e1) = all_0_20_20, op(e3, e1) = e0, yields: % 24.35/6.49 | (3979) all_0_20_20 = e0 % 24.35/6.49 | % 24.35/6.49 | Instantiating formula (58) with e2, e2, all_0_7_7, e1 and discharging atoms op(e2, e2) = all_0_7_7, op(e2, e2) = e1, yields: % 24.35/6.49 | (8028) all_0_7_7 = e1 % 24.35/6.49 | % 24.35/6.49 | Instantiating formula (58) with e2, e2, all_0_21_21, all_0_7_7 and discharging atoms op(e2, e2) = all_0_7_7, op(e2, e2) = all_0_21_21, yields: % 24.35/6.49 | (9913) all_0_7_7 = all_0_21_21 % 24.35/6.49 | % 24.35/6.49 | Combining equations (8028,9913) yields a new equation: % 24.35/6.49 | (9914) all_0_21_21 = e1 % 24.35/6.49 | % 24.35/6.49 | Combining equations (9914,9913) yields a new equation: % 24.35/6.49 | (8028) all_0_7_7 = e1 % 24.35/6.49 | % 24.35/6.49 | From (8028) and (72) follows: % 24.35/6.49 | (8032) op(e3, e1) = all_0_6_6 % 24.35/6.49 | % 24.35/6.49 | From (3979) and (7676) follows: % 24.35/6.49 | (9841) op(e3, e1) = e0 % 24.35/6.49 | % 24.35/6.49 +-Applying beta-rule and splitting (172), into two cases. % 24.35/6.49 |-Branch one: % 24.35/6.49 | (3919) ~ (all_0_6_6 = e0) % 24.35/6.49 | % 24.35/6.49 | Instantiating formula (58) with e3, e1, all_0_6_6, e0 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = e0, yields: % 24.35/6.49 | (3977) all_0_6_6 = e0 % 24.35/6.49 | % 24.35/6.49 | Equations (3977) can reduce 3919 to: % 24.35/6.49 | (188) $false % 24.35/6.49 | % 24.35/6.49 |-The branch is then unsatisfiable % 24.35/6.49 |-Branch two: % 24.35/6.49 | (3977) all_0_6_6 = e0 % 24.35/6.49 | (9922) ~ (all_0_7_7 = e1) | ~ (all_0_24_24 = e2) % 24.35/6.49 | % 24.35/6.49 +-Applying beta-rule and splitting (9922), into two cases. % 24.35/6.49 |-Branch one: % 24.35/6.49 | (8039) ~ (all_0_7_7 = e1) % 24.35/6.49 | % 24.35/6.49 | Equations (8028) can reduce 8039 to: % 24.35/6.49 | (188) $false % 24.35/6.49 | % 24.35/6.49 |-The branch is then unsatisfiable % 24.35/6.49 |-Branch two: % 24.35/6.49 | (8028) all_0_7_7 = e1 % 24.35/6.49 | (219) ~ (all_0_24_24 = e2) % 24.35/6.49 | % 24.35/6.49 | Equations (332) can reduce 219 to: % 24.35/6.49 | (188) $false % 24.35/6.49 | % 24.35/6.49 |-The branch is then unsatisfiable % 24.35/6.49 |-Branch two: % 24.35/6.49 | (339) ~ (all_0_37_37 = e2) % 24.35/6.49 | (2054) all_0_38_38 = e2 | all_0_39_39 = e2 % 24.35/6.49 | % 24.35/6.49 +-Applying beta-rule and splitting (1658), into two cases. % 24.35/6.49 |-Branch one: % 24.35/6.49 | (252) all_0_34_34 = e2 % 24.35/6.49 | % 24.35/6.49 | Equations (252) can reduce 247 to: % 24.35/6.49 | (188) $false % 24.35/6.49 | % 24.35/6.49 |-The branch is then unsatisfiable % 24.35/6.49 |-Branch two: % 24.35/6.49 | (247) ~ (all_0_34_34 = e2) % 24.35/6.49 | (394) all_0_35_35 = e2 % 24.35/6.49 | % 24.35/6.49 | Equations (394) can reduce 201 to: % 24.35/6.49 | (87) ~ (e2 = e0) % 24.35/6.49 | % 24.35/6.49 +-Applying beta-rule and splitting (2054), into two cases. % 24.35/6.49 |-Branch one: % 24.35/6.49 | (576) all_0_38_38 = e2 % 24.35/6.49 | % 24.35/6.49 | Equations (576) can reduce 554 to: % 24.35/6.49 | (188) $false % 24.35/6.49 | % 24.35/6.49 |-The branch is then unsatisfiable % 24.35/6.49 |-Branch two: % 24.35/6.49 | (554) ~ (all_0_38_38 = e2) % 24.35/6.49 | (191) all_0_39_39 = e2 % 24.35/6.49 | % 24.35/6.49 | Combining equations (191,198) yields a new equation: % 24.35/6.49 | (535) e2 = e0 % 24.35/6.49 | % 24.35/6.49 | Simplifying 535 yields: % 24.35/6.49 | (536) e2 = e0 % 24.35/6.49 | % 24.35/6.49 | Equations (536) can reduce 87 to: % 24.35/6.49 | (188) $false % 24.35/6.49 | % 24.35/6.49 |-The branch is then unsatisfiable % 24.35/6.49 |-Branch two: % 24.35/6.49 | (219) ~ (all_0_24_24 = e2) % 24.35/6.49 | (1881) all_0_24_24 = e1 | all_0_24_24 = e0 % 24.35/6.49 | % 24.35/6.49 +-Applying beta-rule and splitting (1881), into two cases. % 24.35/6.49 |-Branch one: % 24.35/6.49 | (694) all_0_24_24 = e1 % 24.35/6.49 | % 24.35/6.49 | Equations (694) can reduce 218 to: % 24.35/6.49 | (188) $false % 24.35/6.49 | % 24.35/6.49 |-The branch is then unsatisfiable % 24.35/6.49 |-Branch two: % 24.35/6.49 | (218) ~ (all_0_24_24 = e1) % 24.35/6.49 | (1082) all_0_24_24 = e0 % 24.35/6.49 | % 24.35/6.49 | Equations (1082) can reduce 220 to: % 24.35/6.49 | (188) $false % 24.35/6.49 | % 24.35/6.49 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (231) ~ (all_0_32_32 = e3) % 24.35/6.50 | (413) all_0_33_33 = e3 | all_0_34_34 = e3 | all_0_35_35 = e3 % 24.35/6.50 | % 24.35/6.50 +-Applying beta-rule and splitting (413), into two cases. % 24.35/6.50 |-Branch one: % 24.35/6.50 | (374) all_0_33_33 = e3 % 24.35/6.50 | % 24.35/6.50 | Combining equations (882,374) yields a new equation: % 24.35/6.50 | (370) e3 = e0 % 24.35/6.50 | % 24.35/6.50 | Equations (370) can reduce 79 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (359) ~ (all_0_33_33 = e3) % 24.35/6.50 | (1510) all_0_34_34 = e3 | all_0_35_35 = e3 % 24.35/6.50 | % 24.35/6.50 +-Applying beta-rule and splitting (1510), into two cases. % 24.35/6.50 |-Branch one: % 24.35/6.50 | (248) all_0_34_34 = e3 % 24.35/6.50 | % 24.35/6.50 | Equations (248) can reduce 244 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (244) ~ (all_0_34_34 = e3) % 24.35/6.50 | (358) all_0_35_35 = e3 % 24.35/6.50 | % 24.35/6.50 | Equations (358) can reduce 389 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (694) all_0_24_24 = e1 % 24.35/6.50 | (543) all_0_26_26 = e3 % 24.35/6.50 | % 24.35/6.50 | Combining equations (321,543) yields a new equation: % 24.35/6.50 | (370) e3 = e0 % 24.35/6.50 | % 24.35/6.50 | Equations (370) can reduce 79 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (885) ~ (all_0_33_33 = e0) % 24.35/6.50 | (886) all_0_37_37 = e0 % 24.35/6.50 | % 24.35/6.50 | Equations (886) can reduce 203 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (541) ~ (all_0_26_26 = e0) % 24.35/6.50 | (542) all_0_30_30 = e0 | all_0_34_34 = e0 | all_0_38_38 = e0 % 24.35/6.50 | % 24.35/6.50 +-Applying beta-rule and splitting (141), into two cases. % 24.35/6.50 |-Branch one: % 24.35/6.50 | (391) all_0_32_32 = e0 % 24.35/6.50 | % 24.35/6.50 | Equations (391) can reduce 403 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (403) ~ (all_0_32_32 = e0) % 24.35/6.50 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 24.35/6.50 | % 24.35/6.50 +-Applying beta-rule and splitting (404), into two cases. % 24.35/6.50 |-Branch one: % 24.35/6.50 | (882) all_0_33_33 = e0 % 24.35/6.50 | % 24.35/6.50 | Equations (882) can reduce 114 to: % 24.35/6.50 | (726) ~ (all_0_25_25 = e0) % 24.35/6.50 | % 24.35/6.50 +-Applying beta-rule and splitting (66), into two cases. % 24.35/6.50 |-Branch one: % 24.35/6.50 | (1082) all_0_24_24 = e0 % 24.35/6.50 | % 24.35/6.50 | Equations (1082) can reduce 220 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (220) ~ (all_0_24_24 = e0) % 24.35/6.50 | (1087) all_0_25_25 = e0 | all_0_26_26 = e0 | all_0_27_27 = e0 % 24.35/6.50 | % 24.35/6.50 +-Applying beta-rule and splitting (1087), into two cases. % 24.35/6.50 |-Branch one: % 24.35/6.50 | (758) all_0_25_25 = e0 % 24.35/6.50 | % 24.35/6.50 | Equations (758) can reduce 726 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (726) ~ (all_0_25_25 = e0) % 24.35/6.50 | (1317) all_0_26_26 = e0 | all_0_27_27 = e0 % 24.35/6.50 | % 24.35/6.50 +-Applying beta-rule and splitting (1317), into two cases. % 24.35/6.50 |-Branch one: % 24.35/6.50 | (321) all_0_26_26 = e0 % 24.35/6.50 | % 24.35/6.50 | Equations (321) can reduce 541 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (541) ~ (all_0_26_26 = e0) % 24.35/6.50 | (930) all_0_27_27 = e0 % 24.35/6.50 | % 24.35/6.50 | Equations (930) can reduce 199 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (885) ~ (all_0_33_33 = e0) % 24.35/6.50 | (1032) all_0_34_34 = e0 | all_0_35_35 = e0 % 24.35/6.50 | % 24.35/6.50 +-Applying beta-rule and splitting (1032), into two cases. % 24.35/6.50 |-Branch one: % 24.35/6.50 | (620) all_0_34_34 = e0 % 24.35/6.50 | % 24.35/6.50 | Equations (620) can reduce 245 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (245) ~ (all_0_34_34 = e0) % 24.35/6.50 | (401) all_0_35_35 = e0 % 24.35/6.50 | % 24.35/6.50 | Equations (401) can reduce 201 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (620) all_0_34_34 = e0 % 24.35/6.50 | (398) all_0_35_35 = e1 % 24.35/6.50 | % 24.35/6.50 | Combining equations (620,9800) yields a new equation: % 24.35/6.50 | (2038) all_0_5_5 = e0 % 24.35/6.50 | % 24.35/6.50 | Equations (620) can reduce 131 to: % 24.35/6.50 | (541) ~ (all_0_26_26 = e0) % 24.35/6.50 | % 24.35/6.50 | From (620) and (9801) follows: % 24.35/6.50 | (2039) op(e2, e0) = all_0_4_4 % 24.35/6.50 | % 24.35/6.50 +-Applying beta-rule and splitting (66), into two cases. % 24.35/6.50 |-Branch one: % 24.35/6.50 | (1082) all_0_24_24 = e0 % 24.35/6.50 | % 24.35/6.50 | Equations (1082) can reduce 220 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (220) ~ (all_0_24_24 = e0) % 24.35/6.50 | (1087) all_0_25_25 = e0 | all_0_26_26 = e0 | all_0_27_27 = e0 % 24.35/6.50 | % 24.35/6.50 +-Applying beta-rule and splitting (1087), into two cases. % 24.35/6.50 |-Branch one: % 24.35/6.50 | (758) all_0_25_25 = e0 % 24.35/6.50 | % 24.35/6.50 | From (758) and (112) follows: % 24.35/6.50 | (10006) op(e2, e0) = all_0_9_9 % 24.35/6.50 | % 24.35/6.50 +-Applying beta-rule and splitting (181), into two cases. % 24.35/6.50 |-Branch one: % 24.35/6.50 | (8944) ~ (all_0_4_4 = e3) % 24.35/6.50 | % 24.35/6.50 | Instantiating formula (58) with e2, e0, all_0_4_4, e3 and discharging atoms op(e2, e0) = all_0_4_4, op(e2, e0) = e3, yields: % 24.35/6.50 | (9150) all_0_4_4 = e3 % 24.35/6.50 | % 24.35/6.50 | Instantiating formula (58) with e2, e0, all_0_9_9, all_0_4_4 and discharging atoms op(e2, e0) = all_0_4_4, op(e2, e0) = all_0_9_9, yields: % 24.35/6.50 | (10009) all_0_4_4 = all_0_9_9 % 24.35/6.50 | % 24.35/6.50 | Combining equations (9150,10009) yields a new equation: % 24.35/6.50 | (7528) all_0_9_9 = e3 % 24.35/6.50 | % 24.35/6.50 | Combining equations (7528,10009) yields a new equation: % 24.35/6.50 | (9150) all_0_4_4 = e3 % 24.35/6.50 | % 24.35/6.50 | Equations (9150) can reduce 8944 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (9150) all_0_4_4 = e3 % 24.35/6.50 | (10014) ~ (all_0_5_5 = e0) | ~ (all_0_29_29 = e1) % 24.35/6.50 | % 24.35/6.50 +-Applying beta-rule and splitting (10014), into two cases. % 24.35/6.50 |-Branch one: % 24.35/6.50 | (2045) ~ (all_0_5_5 = e0) % 24.35/6.50 | % 24.35/6.50 | Equations (2038) can reduce 2045 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (2038) all_0_5_5 = e0 % 24.35/6.50 | (183) ~ (all_0_29_29 = e1) % 24.35/6.50 | % 24.35/6.50 | Equations (303) can reduce 183 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (726) ~ (all_0_25_25 = e0) % 24.35/6.50 | (1317) all_0_26_26 = e0 | all_0_27_27 = e0 % 24.35/6.50 | % 24.35/6.50 +-Applying beta-rule and splitting (1317), into two cases. % 24.35/6.50 |-Branch one: % 24.35/6.50 | (321) all_0_26_26 = e0 % 24.35/6.50 | % 24.35/6.50 | Equations (321) can reduce 541 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (541) ~ (all_0_26_26 = e0) % 24.35/6.50 | (930) all_0_27_27 = e0 % 24.35/6.50 | % 24.35/6.50 | Equations (930) can reduce 199 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (311) ~ (all_0_28_28 = e0) % 24.35/6.50 | (768) all_0_29_29 = e0 | all_0_30_30 = e0 | all_0_31_31 = e0 % 24.35/6.50 | % 24.35/6.50 +-Applying beta-rule and splitting (121), into two cases. % 24.35/6.50 |-Branch one: % 24.35/6.50 | (654) all_0_28_28 = e3 % 24.35/6.50 | % 24.35/6.50 | Equations (654) can reduce 229 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (229) ~ (all_0_28_28 = e3) % 24.35/6.50 | (2366) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0 % 24.35/6.50 | % 24.35/6.50 +-Applying beta-rule and splitting (2366), into two cases. % 24.35/6.50 |-Branch one: % 24.35/6.50 | (849) all_0_28_28 = e2 % 24.35/6.50 | % 24.35/6.50 | Equations (849) can reduce 852 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (852) ~ (all_0_28_28 = e2) % 24.35/6.50 | (2646) all_0_28_28 = e1 | all_0_28_28 = e0 % 24.35/6.50 | % 24.35/6.50 +-Applying beta-rule and splitting (2646), into two cases. % 24.35/6.50 |-Branch one: % 24.35/6.50 | (348) all_0_28_28 = e1 % 24.35/6.50 | % 24.35/6.50 | Equations (348) can reduce 518 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (518) ~ (all_0_28_28 = e1) % 24.35/6.50 | (763) all_0_28_28 = e0 % 24.35/6.50 | % 24.35/6.50 | Equations (763) can reduce 311 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (419) ~ (all_0_31_31 = e3) % 24.35/6.50 | (967) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0 % 24.35/6.50 | % 24.35/6.50 +-Applying beta-rule and splitting (967), into two cases. % 24.35/6.50 |-Branch one: % 24.35/6.50 | (309) all_0_31_31 = e2 % 24.35/6.50 | % 24.35/6.50 | Equations (309) can reduce 817 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (817) ~ (all_0_31_31 = e2) % 24.35/6.50 | (996) all_0_31_31 = e1 | all_0_31_31 = e0 % 24.35/6.50 | % 24.35/6.50 +-Applying beta-rule and splitting (996), into two cases. % 24.35/6.50 |-Branch one: % 24.35/6.50 | (483) all_0_31_31 = e1 % 24.35/6.50 | % 24.35/6.50 | Equations (483) can reduce 487 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.50 |-Branch two: % 24.35/6.50 | (487) ~ (all_0_31_31 = e1) % 24.35/6.50 | (938) all_0_31_31 = e0 % 24.35/6.50 | % 24.35/6.50 | Equations (938) can reduce 200 to: % 24.35/6.50 | (188) $false % 24.35/6.50 | % 24.35/6.50 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (187) all_0_39_39 = e3 % 24.35/6.51 | (1232) all_0_36_36 = e0 % 24.35/6.51 | % 24.35/6.51 | Equations (187) can reduce 145 to: % 24.35/6.51 | (227) ~ (all_0_27_27 = e3) % 24.35/6.51 | % 24.35/6.51 | Equations (187) can reduce 8 to: % 24.35/6.51 | (419) ~ (all_0_31_31 = e3) % 24.35/6.51 | % 24.35/6.51 | Equations (187) can reduce 125 to: % 24.35/6.51 | (389) ~ (all_0_35_35 = e3) % 24.35/6.51 | % 24.35/6.51 | Equations (1232) can reduce 23 to: % 24.35/6.51 | (1337) ~ (all_0_38_38 = e0) % 24.35/6.51 | % 24.35/6.51 | Simplifying 1337 yields: % 24.35/6.51 | (204) ~ (all_0_38_38 = e0) % 24.35/6.51 | % 24.35/6.51 | Equations (187) can reduce 39 to: % 24.35/6.51 | (499) ~ (all_0_38_38 = e3) % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (156), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (445) all_0_36_36 = e1 % 24.35/6.51 | % 24.35/6.51 | Combining equations (1232,445) yields a new equation: % 24.35/6.51 | (379) e1 = e0 % 24.35/6.51 | % 24.35/6.51 | Equations (379) can reduce 153 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (352) ~ (all_0_36_36 = e1) % 24.35/6.51 | (448) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1 % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (121), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (654) all_0_28_28 = e3 % 24.35/6.51 | % 24.35/6.51 | Equations (654) can reduce 9 to: % 24.35/6.51 | (1876) ~ (all_0_24_24 = e3) % 24.35/6.51 | % 24.35/6.51 | Equations (654) can reduce 30 to: % 24.35/6.51 | (711) ~ (all_0_31_31 = e3) % 24.35/6.51 | % 24.35/6.51 | Simplifying 711 yields: % 24.35/6.51 | (419) ~ (all_0_31_31 = e3) % 24.35/6.51 | % 24.35/6.51 | Equations (654) can reduce 518 to: % 24.35/6.51 | (74) ~ (e3 = e1) % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (448), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (386) all_0_37_37 = e1 % 24.35/6.51 | % 24.35/6.51 | Equations (386) can reduce 504 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (504) ~ (all_0_37_37 = e1) % 24.35/6.51 | (505) all_0_38_38 = e1 | all_0_39_39 = e1 % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (505), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (506) all_0_38_38 = e1 % 24.35/6.51 | % 24.35/6.51 | Equations (506) can reduce 105 to: % 24.35/6.51 | (619) ~ (all_0_34_34 = e1) % 24.35/6.51 | % 24.35/6.51 | Equations (506) can reduce 554 to: % 24.35/6.51 | (264) ~ (e2 = e1) % 24.35/6.51 | % 24.35/6.51 | Simplifying 264 yields: % 24.35/6.51 | (128) ~ (e2 = e1) % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (135), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (248) all_0_34_34 = e3 % 24.35/6.51 | % 24.35/6.51 | Equations (248) can reduce 244 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (244) ~ (all_0_34_34 = e3) % 24.35/6.51 | (251) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0 % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (251), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (252) all_0_34_34 = e2 % 24.35/6.51 | % 24.35/6.51 | Equations (252) can reduce 247 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (247) ~ (all_0_34_34 = e2) % 24.35/6.51 | (255) all_0_34_34 = e1 | all_0_34_34 = e0 % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (255), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (256) all_0_34_34 = e1 % 24.35/6.51 | % 24.35/6.51 | Equations (256) can reduce 619 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (619) ~ (all_0_34_34 = e1) % 24.35/6.51 | (620) all_0_34_34 = e0 % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (10), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (416) all_0_31_31 = e3 % 24.35/6.51 | % 24.35/6.51 | Equations (416) can reduce 419 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (419) ~ (all_0_31_31 = e3) % 24.35/6.51 | (967) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0 % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (967), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (309) all_0_31_31 = e2 % 24.35/6.51 | % 24.35/6.51 | Equations (309) can reduce 817 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (817) ~ (all_0_31_31 = e2) % 24.35/6.51 | (996) all_0_31_31 = e1 | all_0_31_31 = e0 % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (996), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (483) all_0_31_31 = e1 % 24.35/6.51 | % 24.35/6.51 | Equations (483) can reduce 487 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (487) ~ (all_0_31_31 = e1) % 24.35/6.51 | (938) all_0_31_31 = e0 % 24.35/6.51 | % 24.35/6.51 | Equations (938) can reduce 147 to: % 24.35/6.51 | (392) ~ (all_0_35_35 = e0) % 24.35/6.51 | % 24.35/6.51 | Simplifying 392 yields: % 24.35/6.51 | (201) ~ (all_0_35_35 = e0) % 24.35/6.51 | % 24.35/6.51 | Equations (938) can reduce 419 to: % 24.35/6.51 | (205) ~ (e3 = e0) % 24.35/6.51 | % 24.35/6.51 | Simplifying 205 yields: % 24.35/6.51 | (79) ~ (e3 = e0) % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (146), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (245) ~ (all_0_34_34 = e0) % 24.35/6.51 | % 24.35/6.51 | Equations (620) can reduce 245 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (620) all_0_34_34 = e0 % 24.35/6.51 | (398) all_0_35_35 = e1 % 24.35/6.51 | % 24.35/6.51 | Equations (398) can reduce 201 to: % 24.35/6.51 | (153) ~ (e1 = e0) % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (67), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (221) all_0_24_24 = e3 % 24.35/6.51 | % 24.35/6.51 | Equations (221) can reduce 1876 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (1876) ~ (all_0_24_24 = e3) % 24.35/6.51 | (5657) all_0_29_29 = e2 | all_0_34_34 = e1 | all_0_39_39 = e0 % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (5657), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (291) all_0_29_29 = e2 % 24.35/6.51 | % 24.35/6.51 | Combining equations (291,303) yields a new equation: % 24.35/6.51 | (484) e2 = e1 % 24.35/6.51 | % 24.35/6.51 | Simplifying 484 yields: % 24.35/6.51 | (343) e2 = e1 % 24.35/6.51 | % 24.35/6.51 | Equations (343) can reduce 128 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (301) ~ (all_0_29_29 = e2) % 24.35/6.51 | (5663) all_0_34_34 = e1 | all_0_39_39 = e0 % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (5663), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (256) all_0_34_34 = e1 % 24.35/6.51 | % 24.35/6.51 | Combining equations (620,256) yields a new equation: % 24.35/6.51 | (379) e1 = e0 % 24.35/6.51 | % 24.35/6.51 | Equations (379) can reduce 153 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (619) ~ (all_0_34_34 = e1) % 24.35/6.51 | (198) all_0_39_39 = e0 % 24.35/6.51 | % 24.35/6.51 | Combining equations (198,187) yields a new equation: % 24.35/6.51 | (370) e3 = e0 % 24.35/6.51 | % 24.35/6.51 | Equations (370) can reduce 79 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (263) ~ (all_0_38_38 = e1) % 24.35/6.51 | (195) all_0_39_39 = e1 % 24.35/6.51 | % 24.35/6.51 | Combining equations (195,187) yields a new equation: % 24.35/6.51 | (387) e3 = e1 % 24.35/6.51 | % 24.35/6.51 | Equations (387) can reduce 74 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (229) ~ (all_0_28_28 = e3) % 24.35/6.51 | (2366) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0 % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (2366), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (849) all_0_28_28 = e2 % 24.35/6.51 | % 24.35/6.51 | Equations (849) can reduce 852 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (852) ~ (all_0_28_28 = e2) % 24.35/6.51 | (2646) all_0_28_28 = e1 | all_0_28_28 = e0 % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (61), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (489) all_0_38_38 = e3 % 24.35/6.51 | % 24.35/6.51 | Equations (489) can reduce 499 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (499) ~ (all_0_38_38 = e3) % 24.35/6.51 | (575) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0 % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (575), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (576) all_0_38_38 = e2 % 24.35/6.51 | % 24.35/6.51 | Equations (576) can reduce 554 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (554) ~ (all_0_38_38 = e2) % 24.35/6.51 | (579) all_0_38_38 = e1 | all_0_38_38 = e0 % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (579), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (506) all_0_38_38 = e1 % 24.35/6.51 | % 24.35/6.51 | Equations (506) can reduce 44 to: % 24.35/6.51 | (257) ~ (all_0_26_26 = e1) % 24.35/6.51 | % 24.35/6.51 | Equations (506) can reduce 105 to: % 24.35/6.51 | (619) ~ (all_0_34_34 = e1) % 24.35/6.51 | % 24.35/6.51 | Equations (506) can reduce 554 to: % 24.35/6.51 | (264) ~ (e2 = e1) % 24.35/6.51 | % 24.35/6.51 | Simplifying 264 yields: % 24.35/6.51 | (128) ~ (e2 = e1) % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (174), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (543) all_0_26_26 = e3 % 24.35/6.51 | % 24.35/6.51 | Equations (543) can reduce 60 to: % 24.35/6.51 | (1876) ~ (all_0_24_24 = e3) % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (10), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (416) all_0_31_31 = e3 % 24.35/6.51 | % 24.35/6.51 | Equations (416) can reduce 419 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (419) ~ (all_0_31_31 = e3) % 24.35/6.51 | (967) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0 % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (967), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (309) all_0_31_31 = e2 % 24.35/6.51 | % 24.35/6.51 | Equations (309) can reduce 817 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (817) ~ (all_0_31_31 = e2) % 24.35/6.51 | (996) all_0_31_31 = e1 | all_0_31_31 = e0 % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (996), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (483) all_0_31_31 = e1 % 24.35/6.51 | % 24.35/6.51 | Equations (483) can reduce 487 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (487) ~ (all_0_31_31 = e1) % 24.35/6.51 | (938) all_0_31_31 = e0 % 24.35/6.51 | % 24.35/6.51 | Equations (938) can reduce 419 to: % 24.35/6.51 | (205) ~ (e3 = e0) % 24.35/6.51 | % 24.35/6.51 | Simplifying 205 yields: % 24.35/6.51 | (79) ~ (e3 = e0) % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (67), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (221) all_0_24_24 = e3 % 24.35/6.51 | % 24.35/6.51 | Equations (221) can reduce 1876 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (1876) ~ (all_0_24_24 = e3) % 24.35/6.51 | (5657) all_0_29_29 = e2 | all_0_34_34 = e1 | all_0_39_39 = e0 % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (5657), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (291) all_0_29_29 = e2 % 24.35/6.51 | % 24.35/6.51 | Combining equations (303,291) yields a new equation: % 24.35/6.51 | (343) e2 = e1 % 24.35/6.51 | % 24.35/6.51 | Equations (343) can reduce 128 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (301) ~ (all_0_29_29 = e2) % 24.35/6.51 | (5663) all_0_34_34 = e1 | all_0_39_39 = e0 % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (5663), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (256) all_0_34_34 = e1 % 24.35/6.51 | % 24.35/6.51 | Equations (256) can reduce 619 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (619) ~ (all_0_34_34 = e1) % 24.35/6.51 | (198) all_0_39_39 = e0 % 24.35/6.51 | % 24.35/6.51 | Combining equations (198,187) yields a new equation: % 24.35/6.51 | (370) e3 = e0 % 24.35/6.51 | % 24.35/6.51 | Equations (370) can reduce 79 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (225) ~ (all_0_26_26 = e3) % 24.35/6.51 | (683) all_0_30_30 = e3 | all_0_34_34 = e3 | all_0_38_38 = e3 % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (10), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (416) all_0_31_31 = e3 % 24.35/6.51 | % 24.35/6.51 | Equations (416) can reduce 419 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (419) ~ (all_0_31_31 = e3) % 24.35/6.51 | (967) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0 % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (967), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (309) all_0_31_31 = e2 % 24.35/6.51 | % 24.35/6.51 | Equations (309) can reduce 817 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (817) ~ (all_0_31_31 = e2) % 24.35/6.51 | (996) all_0_31_31 = e1 | all_0_31_31 = e0 % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (996), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (483) all_0_31_31 = e1 % 24.35/6.51 | % 24.35/6.51 | Equations (483) can reduce 487 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (487) ~ (all_0_31_31 = e1) % 24.35/6.51 | (938) all_0_31_31 = e0 % 24.35/6.51 | % 24.35/6.51 | Equations (938) can reduce 119 to: % 24.35/6.51 | (199) ~ (all_0_27_27 = e0) % 24.35/6.51 | % 24.35/6.51 | Equations (938) can reduce 817 to: % 24.35/6.51 | (207) ~ (e2 = e0) % 24.35/6.51 | % 24.35/6.51 | Simplifying 207 yields: % 24.35/6.51 | (87) ~ (e2 = e0) % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (132), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (218) ~ (all_0_24_24 = e1) % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (126), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (694) all_0_24_24 = e1 % 24.35/6.51 | % 24.35/6.51 | Equations (694) can reduce 218 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (218) ~ (all_0_24_24 = e1) % 24.35/6.51 | (946) all_0_25_25 = e1 | all_0_26_26 = e1 | all_0_27_27 = e1 % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (946), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (342) all_0_25_25 = e1 % 24.35/6.51 | % 24.35/6.51 | Equations (342) can reduce 345 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (345) ~ (all_0_25_25 = e1) % 24.35/6.51 | (950) all_0_26_26 = e1 | all_0_27_27 = e1 % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (950), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (587) all_0_26_26 = e1 % 24.35/6.51 | % 24.35/6.51 | Equations (587) can reduce 257 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (257) ~ (all_0_26_26 = e1) % 24.35/6.51 | (354) all_0_27_27 = e1 % 24.35/6.51 | % 24.35/6.51 | Equations (354) can reduce 160 to: % 24.35/6.51 | (218) ~ (all_0_24_24 = e1) % 24.35/6.51 | % 24.35/6.51 | Equations (354) can reduce 227 to: % 24.35/6.51 | (691) ~ (e3 = e1) % 24.35/6.51 | % 24.35/6.51 | Simplifying 691 yields: % 24.35/6.51 | (74) ~ (e3 = e1) % 24.35/6.51 | % 24.35/6.51 | Equations (354) can reduce 199 to: % 24.35/6.51 | (153) ~ (e1 = e0) % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (104), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (654) all_0_28_28 = e3 % 24.35/6.51 | % 24.35/6.51 | Equations (654) can reduce 229 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (229) ~ (all_0_28_28 = e3) % 24.35/6.51 | (657) all_0_29_29 = e3 | all_0_30_30 = e3 | all_0_31_31 = e3 % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (657), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (287) all_0_29_29 = e3 % 24.35/6.51 | % 24.35/6.51 | Combining equations (303,287) yields a new equation: % 24.35/6.51 | (387) e3 = e1 % 24.35/6.51 | % 24.35/6.51 | Equations (387) can reduce 74 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (246) ~ (all_0_29_29 = e3) % 24.35/6.51 | (661) all_0_30_30 = e3 | all_0_31_31 = e3 % 24.35/6.51 | % 24.35/6.51 | Equations (303) can reduce 246 to: % 24.35/6.51 | (691) ~ (e3 = e1) % 24.35/6.51 | % 24.35/6.51 | Simplifying 691 yields: % 24.35/6.51 | (74) ~ (e3 = e1) % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (98), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (732) all_0_36_36 = e2 % 24.35/6.51 | % 24.35/6.51 | Combining equations (732,1232) yields a new equation: % 24.35/6.51 | (535) e2 = e0 % 24.35/6.51 | % 24.35/6.51 | Simplifying 535 yields: % 24.35/6.51 | (536) e2 = e0 % 24.35/6.51 | % 24.35/6.51 | Equations (536) can reduce 87 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (828) ~ (all_0_36_36 = e2) % 24.35/6.51 | (829) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2 % 24.35/6.51 | % 24.35/6.51 | Equations (1232) can reduce 828 to: % 24.35/6.51 | (207) ~ (e2 = e0) % 24.35/6.51 | % 24.35/6.51 | Simplifying 207 yields: % 24.35/6.51 | (87) ~ (e2 = e0) % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (113), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (694) all_0_24_24 = e1 % 24.35/6.51 | % 24.35/6.51 | Equations (694) can reduce 218 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (218) ~ (all_0_24_24 = e1) % 24.35/6.51 | (699) all_0_28_28 = e1 | all_0_32_32 = e1 | all_0_36_36 = e1 % 24.35/6.51 | % 24.35/6.51 +-Applying beta-rule and splitting (699), into two cases. % 24.35/6.51 |-Branch one: % 24.35/6.51 | (348) all_0_28_28 = e1 % 24.35/6.51 | % 24.35/6.51 | Equations (348) can reduce 518 to: % 24.35/6.51 | (188) $false % 24.35/6.51 | % 24.35/6.51 |-The branch is then unsatisfiable % 24.35/6.51 |-Branch two: % 24.35/6.51 | (518) ~ (all_0_28_28 = e1) % 24.35/6.51 | (1003) all_0_32_32 = e1 | all_0_36_36 = e1 % 24.35/6.51 | % 24.35/6.52 +-Applying beta-rule and splitting (1003), into two cases. % 24.35/6.52 |-Branch one: % 24.35/6.52 | (438) all_0_32_32 = e1 % 24.35/6.52 | % 24.35/6.52 +-Applying beta-rule and splitting (135), into two cases. % 24.35/6.52 |-Branch one: % 24.35/6.52 | (248) all_0_34_34 = e3 % 24.35/6.52 | % 24.35/6.52 | Equations (248) can reduce 244 to: % 24.35/6.52 | (188) $false % 24.35/6.52 | % 24.35/6.52 |-The branch is then unsatisfiable % 24.35/6.52 |-Branch two: % 24.35/6.52 | (244) ~ (all_0_34_34 = e3) % 24.35/6.52 | (251) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0 % 24.35/6.52 | % 24.35/6.52 +-Applying beta-rule and splitting (54), into two cases. % 24.35/6.52 |-Branch one: % 24.35/6.52 | (408) all_0_32_32 = e3 % 24.35/6.52 | % 24.35/6.52 | Combining equations (438,408) yields a new equation: % 24.35/6.52 | (387) e3 = e1 % 24.35/6.52 | % 24.35/6.52 | Equations (387) can reduce 74 to: % 24.35/6.52 | (188) $false % 24.35/6.52 | % 24.35/6.52 |-The branch is then unsatisfiable % 24.35/6.52 |-Branch two: % 24.35/6.52 | (231) ~ (all_0_32_32 = e3) % 24.35/6.52 | (413) all_0_33_33 = e3 | all_0_34_34 = e3 | all_0_35_35 = e3 % 24.35/6.52 | % 24.35/6.52 +-Applying beta-rule and splitting (162), into two cases. % 24.35/6.52 |-Branch one: % 24.35/6.52 | (332) all_0_24_24 = e2 % 24.35/6.52 | % 24.35/6.52 +-Applying beta-rule and splitting (413), into two cases. % 24.35/6.52 |-Branch one: % 24.35/6.52 | (374) all_0_33_33 = e3 % 24.35/6.52 | % 24.35/6.52 | Equations (374) can reduce 114 to: % 24.35/6.52 | (223) ~ (all_0_25_25 = e3) % 24.35/6.52 | % 24.35/6.52 +-Applying beta-rule and splitting (163), into two cases. % 24.35/6.52 |-Branch one: % 24.35/6.52 | (219) ~ (all_0_24_24 = e2) % 24.35/6.52 | % 24.35/6.52 | Equations (332) can reduce 219 to: % 24.35/6.52 | (188) $false % 24.35/6.52 | % 24.35/6.52 |-The branch is then unsatisfiable % 24.35/6.52 |-Branch two: % 24.35/6.52 | (332) all_0_24_24 = e2 % 24.35/6.52 | (363) all_0_25_25 = e3 % 24.35/6.52 | % 24.35/6.52 | Equations (363) can reduce 223 to: % 24.35/6.52 | (188) $false % 24.35/6.52 | % 24.35/6.52 |-The branch is then unsatisfiable % 24.35/6.52 |-Branch two: % 24.35/6.52 | (359) ~ (all_0_33_33 = e3) % 24.35/6.52 | (1510) all_0_34_34 = e3 | all_0_35_35 = e3 % 24.35/6.52 | % 24.35/6.52 +-Applying beta-rule and splitting (1510), into two cases. % 24.35/6.52 |-Branch one: % 24.35/6.52 | (248) all_0_34_34 = e3 % 24.35/6.52 | % 24.35/6.52 | Equations (248) can reduce 244 to: % 24.35/6.52 | (188) $false % 24.35/6.52 | % 24.35/6.52 |-The branch is then unsatisfiable % 24.35/6.52 |-Branch two: % 24.35/6.52 | (244) ~ (all_0_34_34 = e3) % 24.35/6.52 | (358) all_0_35_35 = e3 % 24.35/6.52 | % 24.35/6.52 | Equations (358) can reduce 389 to: % 24.35/6.52 | (188) $false % 24.35/6.52 | % 24.35/6.52 |-The branch is then unsatisfiable % 24.35/6.52 |-Branch two: % 24.35/6.52 | (219) ~ (all_0_24_24 = e2) % 24.35/6.52 | (718) all_0_28_28 = e2 | all_0_32_32 = e2 | all_0_36_36 = e2 % 24.35/6.52 | % 24.35/6.52 +-Applying beta-rule and splitting (718), into two cases. % 24.35/6.52 |-Branch one: % 24.35/6.52 | (849) all_0_28_28 = e2 % 24.35/6.52 | % 24.35/6.52 | Equations (849) can reduce 852 to: % 24.35/6.52 | (188) $false % 24.35/6.52 | % 24.35/6.52 |-The branch is then unsatisfiable % 24.35/6.52 |-Branch two: % 24.35/6.52 | (852) ~ (all_0_28_28 = e2) % 24.35/6.52 | (853) all_0_32_32 = e2 | all_0_36_36 = e2 % 24.35/6.52 | % 24.35/6.52 +-Applying beta-rule and splitting (853), into two cases. % 24.35/6.52 |-Branch one: % 24.35/6.52 | (405) all_0_32_32 = e2 % 24.35/6.52 | % 24.35/6.52 | Combining equations (438,405) yields a new equation: % 24.35/6.52 | (343) e2 = e1 % 24.35/6.52 | % 24.35/6.52 | Equations (343) can reduce 128 to: % 24.35/6.52 | (188) $false % 24.35/6.52 | % 24.35/6.52 |-The branch is then unsatisfiable % 24.35/6.52 |-Branch two: % 24.35/6.52 | (428) ~ (all_0_32_32 = e2) % 24.35/6.52 | (732) all_0_36_36 = e2 % 24.35/6.52 | % 24.35/6.52 | Combining equations (732,1232) yields a new equation: % 24.35/6.52 | (535) e2 = e0 % 24.35/6.52 | % 24.35/6.52 | Simplifying 535 yields: % 24.35/6.52 | (536) e2 = e0 % 24.35/6.52 | % 24.35/6.52 | Equations (536) can reduce 87 to: % 24.35/6.52 | (188) $false % 24.35/6.52 | % 24.35/6.52 |-The branch is then unsatisfiable % 24.35/6.52 |-Branch two: % 24.35/6.52 | (350) ~ (all_0_32_32 = e1) % 24.35/6.52 | (445) all_0_36_36 = e1 % 24.35/6.52 | % 24.35/6.52 | Combining equations (445,1232) yields a new equation: % 24.35/6.52 | (510) e1 = e0 % 24.35/6.52 | % 24.35/6.52 | Simplifying 510 yields: % 24.35/6.52 | (379) e1 = e0 % 24.35/6.52 | % 24.35/6.52 | Equations (379) can reduce 153 to: % 24.35/6.52 | (188) $false % 24.35/6.52 | % 24.35/6.52 |-The branch is then unsatisfiable % 24.35/6.52 |-Branch two: % 24.35/6.52 | (694) all_0_24_24 = e1 % 24.35/6.52 | (543) all_0_26_26 = e3 % 24.35/6.52 | % 24.35/6.52 | Equations (543) can reduce 225 to: % 24.35/6.52 | (188) $false % 24.35/6.52 | % 24.35/6.52 |-The branch is then unsatisfiable % 24.35/6.52 |-Branch two: % 24.35/6.52 | (263) ~ (all_0_38_38 = e1) % 24.35/6.52 | (583) all_0_38_38 = e0 % 24.35/6.52 | % 24.35/6.52 | Equations (583) can reduce 204 to: % 24.35/6.52 | (188) $false % 24.35/6.52 | % 24.35/6.52 |-The branch is then unsatisfiable % 24.35/6.52 |-Branch two: % 24.35/6.52 | (191) all_0_39_39 = e2 % 24.35/6.52 | (886) all_0_37_37 = e0 % 24.35/6.52 | % 24.35/6.52 | Equations (191) can reduce 19 to: % 24.35/6.52 | (828) ~ (all_0_36_36 = e2) % 24.35/6.52 | % 24.35/6.52 | Equations (886) can reduce 63 to: % 24.35/6.52 | (1337) ~ (all_0_38_38 = e0) % 24.35/6.52 | % 24.35/6.52 | Simplifying 1337 yields: % 24.35/6.52 | (204) ~ (all_0_38_38 = e0) % 24.35/6.52 | % 24.35/6.52 | Equations (886,191) can reduce 64 to: % 24.35/6.52 | (207) ~ (e2 = e0) % 24.35/6.52 | % 24.35/6.52 | Simplifying 207 yields: % 24.35/6.52 | (87) ~ (e2 = e0) % 24.35/6.52 | % 24.35/6.52 | Equations (191) can reduce 39 to: % 24.35/6.52 | (554) ~ (all_0_38_38 = e2) % 24.35/6.52 | % 24.35/6.52 | From (191)(191) and (101) follows: % 24.35/6.52 | (6117) op(e2, e2) = all_0_1_1 % 24.35/6.52 | % 24.35/6.52 | Instantiating formula (58) with e2, e2, all_0_1_1, e1 and discharging atoms op(e2, e2) = all_0_1_1, op(e2, e2) = e1, yields: % 24.35/6.52 | (5445) all_0_1_1 = e1 % 24.35/6.52 | % 24.35/6.52 | From (5445) and (155) follows: % 24.35/6.52 | (5460) op(e0, e1) = all_0_0_0 % 24.35/6.52 | % 24.35/6.52 +-Applying beta-rule and splitting (138), into two cases. % 24.35/6.52 |-Branch one: % 24.43/6.52 | (9715) ~ (all_0_0_0 = e3) % 24.43/6.52 | % 24.43/6.52 | Instantiating formula (58) with e0, e1, all_0_0_0, all_0_38_38 and discharging atoms op(e0, e1) = all_0_0_0, op(e0, e1) = all_0_38_38, yields: % 24.43/6.52 | (5462) all_0_0_0 = all_0_38_38 % 24.43/6.52 | % 24.43/6.52 | Equations (5462) can reduce 9715 to: % 24.43/6.52 | (499) ~ (all_0_38_38 = e3) % 24.43/6.52 | % 24.43/6.52 +-Applying beta-rule and splitting (61), into two cases. % 24.43/6.52 |-Branch one: % 24.43/6.52 | (489) all_0_38_38 = e3 % 24.43/6.52 | % 24.43/6.52 | Equations (489) can reduce 499 to: % 24.43/6.52 | (188) $false % 24.43/6.52 | % 24.43/6.52 |-The branch is then unsatisfiable % 24.43/6.52 |-Branch two: % 24.43/6.52 | (499) ~ (all_0_38_38 = e3) % 24.43/6.52 | (575) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0 % 24.43/6.52 | % 24.43/6.52 +-Applying beta-rule and splitting (575), into two cases. % 24.43/6.52 |-Branch one: % 24.43/6.52 | (576) all_0_38_38 = e2 % 24.43/6.52 | % 24.43/6.52 | Equations (576) can reduce 554 to: % 24.43/6.52 | (188) $false % 24.43/6.52 | % 24.43/6.52 |-The branch is then unsatisfiable % 24.43/6.52 |-Branch two: % 24.43/6.52 | (554) ~ (all_0_38_38 = e2) % 24.43/6.52 | (579) all_0_38_38 = e1 | all_0_38_38 = e0 % 24.43/6.52 | % 24.43/6.52 +-Applying beta-rule and splitting (579), into two cases. % 24.43/6.52 |-Branch one: % 24.43/6.52 | (506) all_0_38_38 = e1 % 24.43/6.52 | % 24.43/6.52 | Equations (506) can reduce 105 to: % 24.43/6.52 | (619) ~ (all_0_34_34 = e1) % 24.43/6.52 | % 24.43/6.52 | Equations (506) can reduce 23 to: % 24.43/6.52 | (352) ~ (all_0_36_36 = e1) % 24.43/6.52 | % 24.43/6.52 | Equations (506) can reduce 499 to: % 24.43/6.52 | (691) ~ (e3 = e1) % 24.43/6.52 | % 24.43/6.52 | Simplifying 691 yields: % 24.43/6.52 | (74) ~ (e3 = e1) % 24.43/6.52 | % 24.43/6.52 | Equations (506) can reduce 554 to: % 24.43/6.52 | (264) ~ (e2 = e1) % 24.43/6.52 | % 24.43/6.52 | Simplifying 264 yields: % 24.43/6.52 | (128) ~ (e2 = e1) % 24.43/6.52 | % 24.43/6.52 +-Applying beta-rule and splitting (107), into two cases. % 24.43/6.52 |-Branch one: % 24.43/6.52 | (454) all_0_36_36 = e3 % 24.43/6.52 | % 24.43/6.52 | Equations (454) can reduce 828 to: % 24.43/6.52 | (62) ~ (e3 = e2) % 24.43/6.52 | % 24.43/6.52 | Equations (454) can reduce 352 to: % 24.43/6.52 | (74) ~ (e3 = e1) % 24.43/6.52 | % 24.43/6.52 +-Applying beta-rule and splitting (174), into two cases. % 24.43/6.52 |-Branch one: % 24.43/6.52 | (543) all_0_26_26 = e3 % 24.43/6.52 | % 24.43/6.52 | Equations (543) can reduce 60 to: % 24.43/6.52 | (1876) ~ (all_0_24_24 = e3) % 24.43/6.52 | % 24.43/6.52 +-Applying beta-rule and splitting (67), into two cases. % 24.43/6.52 |-Branch one: % 24.43/6.52 | (221) all_0_24_24 = e3 % 24.43/6.52 | % 24.43/6.52 | Equations (221) can reduce 1876 to: % 24.43/6.52 | (188) $false % 24.43/6.52 | % 24.43/6.52 |-The branch is then unsatisfiable % 24.43/6.52 |-Branch two: % 24.43/6.52 | (1876) ~ (all_0_24_24 = e3) % 24.43/6.52 | (5657) all_0_29_29 = e2 | all_0_34_34 = e1 | all_0_39_39 = e0 % 24.43/6.52 | % 24.43/6.52 +-Applying beta-rule and splitting (5657), into two cases. % 24.43/6.52 |-Branch one: % 24.43/6.52 | (291) all_0_29_29 = e2 % 24.43/6.52 | % 24.43/6.52 | Combining equations (291,303) yields a new equation: % 24.43/6.52 | (484) e2 = e1 % 24.43/6.52 | % 24.43/6.52 | Simplifying 484 yields: % 24.43/6.52 | (343) e2 = e1 % 24.43/6.52 | % 24.43/6.52 | Equations (343) can reduce 128 to: % 24.43/6.52 | (188) $false % 24.43/6.52 | % 24.43/6.52 |-The branch is then unsatisfiable % 24.43/6.52 |-Branch two: % 24.43/6.52 | (301) ~ (all_0_29_29 = e2) % 24.43/6.52 | (5663) all_0_34_34 = e1 | all_0_39_39 = e0 % 24.43/6.52 | % 24.43/6.52 +-Applying beta-rule and splitting (5663), into two cases. % 24.43/6.52 |-Branch one: % 24.43/6.52 | (256) all_0_34_34 = e1 % 24.43/6.52 | % 24.43/6.52 | Equations (256) can reduce 619 to: % 24.43/6.52 | (188) $false % 24.43/6.52 | % 24.43/6.52 |-The branch is then unsatisfiable % 24.43/6.52 |-Branch two: % 24.43/6.52 | (619) ~ (all_0_34_34 = e1) % 24.43/6.52 | (198) all_0_39_39 = e0 % 24.43/6.52 | % 24.43/6.52 | Combining equations (191,198) yields a new equation: % 24.43/6.52 | (535) e2 = e0 % 24.43/6.52 | % 24.43/6.52 | Simplifying 535 yields: % 24.43/6.52 | (536) e2 = e0 % 24.43/6.52 | % 24.43/6.52 | Equations (536) can reduce 87 to: % 24.43/6.52 | (188) $false % 24.43/6.52 | % 24.43/6.52 |-The branch is then unsatisfiable % 24.43/6.52 |-Branch two: % 24.43/6.52 | (225) ~ (all_0_26_26 = e3) % 24.43/6.52 | (683) all_0_30_30 = e3 | all_0_34_34 = e3 | all_0_38_38 = e3 % 24.43/6.52 | % 24.43/6.52 +-Applying beta-rule and splitting (683), into two cases. % 24.43/6.52 |-Branch one: % 24.43/6.52 | (561) all_0_30_30 = e3 % 24.43/6.52 | % 24.43/6.52 | Combining equations (565,561) yields a new equation: % 24.43/6.52 | (333) e3 = e2 % 24.43/6.52 | % 24.43/6.52 | Equations (333) can reduce 62 to: % 24.43/6.52 | (188) $false % 24.43/6.52 | % 24.43/6.52 |-The branch is then unsatisfiable % 24.43/6.52 |-Branch two: % 24.43/6.52 | (556) ~ (all_0_30_30 = e3) % 24.43/6.52 | (941) all_0_34_34 = e3 | all_0_38_38 = e3 % 24.43/6.52 | % 24.43/6.52 +-Applying beta-rule and splitting (941), into two cases. % 24.43/6.52 |-Branch one: % 24.43/6.52 | (248) all_0_34_34 = e3 % 24.43/6.52 | % 24.43/6.52 | Equations (248) can reduce 244 to: % 24.43/6.52 | (188) $false % 24.43/6.52 | % 24.43/6.52 |-The branch is then unsatisfiable % 24.43/6.52 |-Branch two: % 24.43/6.52 | (244) ~ (all_0_34_34 = e3) % 24.43/6.52 | (489) all_0_38_38 = e3 % 24.43/6.52 | % 24.43/6.52 | Combining equations (506,489) yields a new equation: % 24.43/6.52 | (387) e3 = e1 % 24.43/6.52 | % 24.43/6.52 | Equations (387) can reduce 74 to: % 24.43/6.52 | (188) $false % 24.43/6.52 | % 24.43/6.52 |-The branch is then unsatisfiable % 24.43/6.52 |-Branch two: % 24.43/6.52 | (233) ~ (all_0_36_36 = e3) % 24.43/6.52 | (477) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3 % 24.43/6.52 | % 24.43/6.52 +-Applying beta-rule and splitting (477), into two cases. % 24.43/6.52 |-Branch one: % 24.43/6.52 | (377) all_0_37_37 = e3 % 24.43/6.52 | % 24.43/6.52 | Combining equations (377,886) yields a new equation: % 24.43/6.52 | (425) e3 = e0 % 24.43/6.52 | % 24.43/6.52 | Simplifying 425 yields: % 24.43/6.52 | (370) e3 = e0 % 24.43/6.52 | % 24.43/6.52 | Equations (370) can reduce 79 to: % 24.43/6.52 | (188) $false % 24.43/6.52 | % 24.43/6.52 |-The branch is then unsatisfiable % 24.43/6.52 |-Branch two: % 24.43/6.52 | (481) ~ (all_0_37_37 = e3) % 24.43/6.52 | (482) all_0_38_38 = e3 | all_0_39_39 = e3 % 24.43/6.52 | % 24.43/6.52 +-Applying beta-rule and splitting (482), into two cases. % 24.43/6.52 |-Branch one: % 24.43/6.52 | (489) all_0_38_38 = e3 % 24.43/6.52 | % 24.43/6.52 | Combining equations (489,506) yields a new equation: % 24.43/6.52 | (492) e3 = e1 % 24.43/6.52 | % 24.43/6.52 | Simplifying 492 yields: % 24.43/6.52 | (387) e3 = e1 % 24.43/6.52 | % 24.43/6.52 | Equations (387) can reduce 74 to: % 24.43/6.52 | (188) $false % 24.43/6.52 | % 24.43/6.52 |-The branch is then unsatisfiable % 24.43/6.52 |-Branch two: % 24.43/6.52 | (499) ~ (all_0_38_38 = e3) % 24.43/6.52 | (187) all_0_39_39 = e3 % 24.43/6.52 | % 24.43/6.52 | Combining equations (191,187) yields a new equation: % 24.43/6.52 | (333) e3 = e2 % 24.43/6.52 | % 24.43/6.52 | Equations (333) can reduce 62 to: % 24.43/6.52 | (188) $false % 24.43/6.52 | % 24.43/6.52 |-The branch is then unsatisfiable % 24.43/6.52 |-Branch two: % 24.43/6.52 | (263) ~ (all_0_38_38 = e1) % 24.43/6.52 | (583) all_0_38_38 = e0 % 24.43/6.52 | % 24.43/6.52 | Equations (583) can reduce 204 to: % 24.43/6.52 | (188) $false % 24.43/6.52 | % 24.43/6.52 |-The branch is then unsatisfiable % 24.43/6.52 |-Branch two: % 24.43/6.52 | (9766) all_0_0_0 = e3 % 24.43/6.52 | (10378) ~ (all_0_1_1 = e1) | ~ (all_0_39_39 = e2) % 24.43/6.52 | % 24.43/6.52 +-Applying beta-rule and splitting (10378), into two cases. % 24.43/6.52 |-Branch one: % 24.43/6.52 | (5794) ~ (all_0_1_1 = e1) % 24.43/6.52 | % 24.43/6.52 | Equations (5445) can reduce 5794 to: % 24.43/6.52 | (188) $false % 24.43/6.52 | % 24.43/6.52 |-The branch is then unsatisfiable % 24.43/6.52 |-Branch two: % 24.43/6.52 | (5445) all_0_1_1 = e1 % 24.43/6.52 | (185) ~ (all_0_39_39 = e2) % 24.43/6.52 | % 24.43/6.52 | Equations (191) can reduce 185 to: % 24.43/6.52 | (188) $false % 24.43/6.52 | % 24.43/6.52 |-The branch is then unsatisfiable % 24.43/6.53 |-Branch two: % 24.43/6.53 | (195) all_0_39_39 = e1 % 24.43/6.53 | (583) all_0_38_38 = e0 % 24.43/6.53 | % 24.43/6.53 | Equations (583) can reduce 44 to: % 24.43/6.53 | (541) ~ (all_0_26_26 = e0) % 24.43/6.53 | % 24.43/6.53 | Equations (195) can reduce 145 to: % 24.43/6.53 | (443) ~ (all_0_27_27 = e1) % 24.43/6.53 | % 24.43/6.53 | Equations (195) can reduce 8 to: % 24.43/6.53 | (487) ~ (all_0_31_31 = e1) % 24.43/6.53 | % 24.43/6.53 | Equations (583) can reduce 105 to: % 24.43/6.53 | (245) ~ (all_0_34_34 = e0) % 24.43/6.53 | % 24.43/6.53 | Equations (583) can reduce 23 to: % 24.43/6.53 | (202) ~ (all_0_36_36 = e0) % 24.43/6.53 | % 24.43/6.53 | Equations (583) can reduce 63 to: % 24.43/6.53 | (203) ~ (all_0_37_37 = e0) % 24.43/6.53 | % 24.43/6.53 | Equations (195) can reduce 64 to: % 24.43/6.53 | (504) ~ (all_0_37_37 = e1) % 24.43/6.53 | % 24.43/6.53 | From (195)(195) and (101) follows: % 24.43/6.53 | (7877) op(e1, e1) = all_0_1_1 % 24.43/6.53 | % 24.43/6.53 | From (583) and (152) follows: % 24.43/6.53 | (10394) op(e1, e0) = all_0_22_22 % 24.43/6.53 | % 24.43/6.53 +-Applying beta-rule and splitting (135), into two cases. % 24.43/6.53 |-Branch one: % 24.43/6.53 | (248) all_0_34_34 = e3 % 24.43/6.53 | % 24.43/6.53 | Equations (248) can reduce 244 to: % 24.43/6.53 | (188) $false % 24.43/6.53 | % 24.43/6.53 |-The branch is then unsatisfiable % 24.43/6.53 |-Branch two: % 24.43/6.53 | (244) ~ (all_0_34_34 = e3) % 24.43/6.53 | (251) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0 % 24.43/6.53 | % 24.43/6.53 +-Applying beta-rule and splitting (251), into two cases. % 24.43/6.53 |-Branch one: % 24.43/6.53 | (252) all_0_34_34 = e2 % 24.43/6.53 | % 24.43/6.53 | Equations (252) can reduce 247 to: % 24.43/6.53 | (188) $false % 24.43/6.53 | % 24.43/6.53 |-The branch is then unsatisfiable % 24.43/6.53 |-Branch two: % 24.43/6.53 | (247) ~ (all_0_34_34 = e2) % 24.43/6.53 | (255) all_0_34_34 = e1 | all_0_34_34 = e0 % 24.43/6.53 | % 24.43/6.53 +-Applying beta-rule and splitting (255), into two cases. % 24.43/6.53 |-Branch one: % 24.43/6.53 | (256) all_0_34_34 = e1 % 24.43/6.53 | % 24.43/6.53 | Equations (256) can reduce 131 to: % 24.43/6.53 | (257) ~ (all_0_26_26 = e1) % 24.43/6.53 | % 24.43/6.53 | Equations (256) can reduce 20 to: % 24.43/6.53 | (259) ~ (all_0_33_33 = e1) % 24.43/6.53 | % 24.43/6.53 | Equations (256) can reduce 49 to: % 24.43/6.53 | (260) ~ (all_0_35_35 = e1) % 24.43/6.53 | % 24.43/6.53 | Simplifying 260 yields: % 24.43/6.53 | (261) ~ (all_0_35_35 = e1) % 24.43/6.53 | % 24.43/6.53 | Equations (256) can reduce 247 to: % 24.43/6.53 | (264) ~ (e2 = e1) % 24.43/6.53 | % 24.43/6.53 | Simplifying 264 yields: % 24.43/6.53 | (128) ~ (e2 = e1) % 24.43/6.53 | % 24.43/6.53 | Equations (256) can reduce 245 to: % 24.43/6.53 | (153) ~ (e1 = e0) % 24.43/6.53 | % 24.43/6.53 | From (256)(256) and (28) follows: % 24.43/6.53 | (266) op(e1, e1) = all_0_3_3 % 24.43/6.53 | % 24.43/6.53 | From (256) and (144) follows: % 24.43/6.53 | (267) op(e1, e1) = all_0_18_18 % 24.43/6.53 | % 24.43/6.53 | From (256) and (91) follows: % 24.43/6.53 | (268) op(e1, e1) = e1 % 24.43/6.53 | % 24.43/6.53 +-Applying beta-rule and splitting (126), into two cases. % 24.43/6.53 |-Branch one: % 24.43/6.53 | (694) all_0_24_24 = e1 % 24.43/6.53 | % 24.43/6.53 | Equations (694) can reduce 149 to: % 24.43/6.53 | (3582) ~ (all_0_25_25 = e1) % 24.43/6.53 | % 24.43/6.53 | Simplifying 3582 yields: % 24.43/6.53 | (345) ~ (all_0_25_25 = e1) % 24.43/6.53 | % 24.43/6.53 | Equations (694) can reduce 60 to: % 24.43/6.53 | (2303) ~ (all_0_26_26 = e1) % 24.43/6.53 | % 24.43/6.53 | Simplifying 2303 yields: % 24.43/6.53 | (257) ~ (all_0_26_26 = e1) % 24.43/6.53 | % 24.43/6.53 | Equations (694) can reduce 160 to: % 24.43/6.53 | (3584) ~ (all_0_27_27 = e1) % 24.43/6.53 | % 24.43/6.53 | Simplifying 3584 yields: % 24.43/6.53 | (443) ~ (all_0_27_27 = e1) % 24.43/6.53 | % 24.43/6.53 | Equations (694) can reduce 9 to: % 24.43/6.53 | (3586) ~ (all_0_28_28 = e1) % 24.43/6.53 | % 24.43/6.53 | Simplifying 3586 yields: % 24.43/6.53 | (518) ~ (all_0_28_28 = e1) % 24.43/6.53 | % 24.43/6.53 | Equations (694) can reduce 102 to: % 24.43/6.53 | (349) ~ (all_0_32_32 = e1) % 24.43/6.53 | % 24.43/6.53 | Simplifying 349 yields: % 24.43/6.53 | (350) ~ (all_0_32_32 = e1) % 24.43/6.53 | % 24.43/6.53 | Equations (694) can reduce 68 to: % 24.43/6.53 | (351) ~ (all_0_36_36 = e1) % 24.43/6.53 | % 24.43/6.53 | Simplifying 351 yields: % 24.43/6.53 | (352) ~ (all_0_36_36 = e1) % 24.43/6.53 | % 24.43/6.53 | From (694)(694) and (143) follows: % 24.43/6.53 | (3601) op(e1, e1) = all_0_7_7 % 24.43/6.53 | % 24.43/6.53 +-Applying beta-rule and splitting (132), into two cases. % 24.43/6.53 |-Branch one: % 24.43/6.53 | (218) ~ (all_0_24_24 = e1) % 24.43/6.53 | % 24.43/6.53 | Equations (694) can reduce 218 to: % 24.43/6.53 | (188) $false % 24.43/6.53 | % 24.43/6.53 |-The branch is then unsatisfiable % 24.43/6.53 |-Branch two: % 24.43/6.53 | (694) all_0_24_24 = e1 % 24.43/6.53 | (543) all_0_26_26 = e3 % 24.43/6.53 | % 24.43/6.53 | Equations (543) can reduce 71 to: % 24.43/6.53 | (223) ~ (all_0_25_25 = e3) % 24.43/6.53 | % 24.43/6.53 | Equations (543) can reduce 18 to: % 24.43/6.53 | (226) ~ (all_0_27_27 = e3) % 24.43/6.53 | % 24.43/6.53 | Simplifying 226 yields: % 24.43/6.53 | (227) ~ (all_0_27_27 = e3) % 24.43/6.53 | % 24.43/6.53 | Equations (543) can reduce 538 to: % 24.43/6.53 | (62) ~ (e3 = e2) % 24.43/6.53 | % 24.43/6.53 | Equations (543) can reduce 257 to: % 24.43/6.53 | (74) ~ (e3 = e1) % 24.43/6.53 | % 24.43/6.53 | Equations (543) can reduce 541 to: % 24.43/6.53 | (79) ~ (e3 = e0) % 24.43/6.53 | % 24.43/6.53 | From (543) and (84) follows: % 24.43/6.53 | (10438) op(e1, e3) = all_0_10_10 % 24.43/6.53 | % 24.43/6.53 | Instantiating formula (58) with e1, e3, all_0_10_10, all_0_32_32 and discharging atoms op(e1, e3) = all_0_10_10, op(e1, e3) = all_0_32_32, yields: % 24.43/6.53 | (10439) all_0_10_10 = all_0_32_32 % 24.43/6.53 | % 24.43/6.53 | Instantiating formula (58) with e1, e1, all_0_3_3, all_0_1_1 and discharging atoms op(e1, e1) = all_0_1_1, op(e1, e1) = all_0_3_3, yields: % 24.43/6.53 | (10440) all_0_1_1 = all_0_3_3 % 24.43/6.53 | % 24.43/6.53 | Instantiating formula (58) with e1, e1, all_0_7_7, all_0_3_3 and discharging atoms op(e1, e1) = all_0_3_3, op(e1, e1) = all_0_7_7, yields: % 24.43/6.53 | (10441) all_0_3_3 = all_0_7_7 % 24.43/6.53 | % 24.43/6.53 | Instantiating formula (58) with e1, e1, all_0_18_18, all_0_3_3 and discharging atoms op(e1, e1) = all_0_3_3, op(e1, e1) = all_0_18_18, yields: % 24.43/6.53 | (269) all_0_3_3 = all_0_18_18 % 24.43/6.53 | % 24.43/6.53 | Instantiating formula (58) with e1, e1, e1, all_0_1_1 and discharging atoms op(e1, e1) = all_0_1_1, op(e1, e1) = e1, yields: % 24.43/6.53 | (5445) all_0_1_1 = e1 % 24.43/6.53 | % 24.43/6.53 | Instantiating formula (58) with e1, e0, all_0_22_22, all_0_35_35 and discharging atoms op(e1, e0) = all_0_22_22, op(e1, e0) = all_0_35_35, yields: % 24.43/6.53 | (10444) all_0_22_22 = all_0_35_35 % 24.43/6.53 | % 24.45/6.53 | Combining equations (10440,5445) yields a new equation: % 24.45/6.53 | (10445) all_0_3_3 = e1 % 24.45/6.53 | % 24.45/6.53 | Simplifying 10445 yields: % 24.45/6.53 | (270) all_0_3_3 = e1 % 24.45/6.53 | % 24.45/6.53 | Combining equations (269,10441) yields a new equation: % 24.45/6.53 | (10447) all_0_7_7 = all_0_18_18 % 24.45/6.53 | % 24.45/6.53 | Combining equations (270,10441) yields a new equation: % 24.45/6.53 | (8028) all_0_7_7 = e1 % 24.45/6.53 | % 24.45/6.53 | Combining equations (8028,10447) yields a new equation: % 24.45/6.53 | (272) all_0_18_18 = e1 % 24.45/6.53 | % 24.45/6.53 +-Applying beta-rule and splitting (10), into two cases. % 24.45/6.53 |-Branch one: % 24.45/6.53 | (416) all_0_31_31 = e3 % 24.45/6.53 | % 24.45/6.53 | Equations (416) can reduce 119 to: % 24.45/6.53 | (227) ~ (all_0_27_27 = e3) % 24.45/6.53 | % 24.45/6.53 | Equations (416) can reduce 30 to: % 24.45/6.53 | (229) ~ (all_0_28_28 = e3) % 24.45/6.53 | % 24.45/6.53 | Equations (416) can reduce 147 to: % 24.45/6.53 | (1903) ~ (all_0_35_35 = e3) % 24.45/6.53 | % 24.45/6.53 | Simplifying 1903 yields: % 24.45/6.53 | (389) ~ (all_0_35_35 = e3) % 24.45/6.53 | % 24.45/6.53 | Equations (416) can reduce 817 to: % 24.45/6.53 | (62) ~ (e3 = e2) % 24.45/6.53 | % 24.45/6.53 | Equations (416) can reduce 487 to: % 24.45/6.53 | (74) ~ (e3 = e1) % 24.45/6.53 | % 24.45/6.53 | From (416) and (40) follows: % 24.45/6.53 | (10457) op(e0, e3) = all_0_15_15 % 24.45/6.53 | % 24.45/6.53 +-Applying beta-rule and splitting (27), into two cases. % 24.45/6.53 |-Branch one: % 24.45/6.53 | (763) all_0_28_28 = e0 % 24.45/6.53 | % 24.45/6.53 | Equations (763) can reduce 52 to: % 24.45/6.53 | (644) ~ (all_0_36_36 = e0) % 24.45/6.53 | % 24.45/6.53 | Simplifying 644 yields: % 24.45/6.53 | (202) ~ (all_0_36_36 = e0) % 24.45/6.53 | % 24.45/6.53 | Equations (763) can reduce 229 to: % 24.45/6.53 | (205) ~ (e3 = e0) % 24.45/6.53 | % 24.45/6.53 | Simplifying 205 yields: % 24.45/6.53 | (79) ~ (e3 = e0) % 24.45/6.53 | % 24.45/6.53 | Equations (763) can reduce 852 to: % 24.45/6.53 | (207) ~ (e2 = e0) % 24.45/6.53 | % 24.45/6.53 | Simplifying 207 yields: % 24.45/6.53 | (87) ~ (e2 = e0) % 24.45/6.53 | % 24.45/6.53 | Equations (763) can reduce 518 to: % 24.45/6.53 | (209) ~ (e1 = e0) % 24.45/6.53 | % 24.45/6.53 | Simplifying 209 yields: % 24.45/6.53 | (153) ~ (e1 = e0) % 24.45/6.53 | % 24.45/6.53 | From (763) and (175) follows: % 24.45/6.53 | (3687) op(e3, e0) = all_0_12_12 % 24.45/6.53 | % 24.45/6.53 | Instantiating formula (58) with e3, e0, all_0_12_12, all_0_27_27 and discharging atoms op(e3, e0) = all_0_12_12, op(e3, e0) = all_0_27_27, yields: % 24.45/6.53 | (10468) all_0_12_12 = all_0_27_27 % 24.45/6.53 | % 24.45/6.53 | Instantiating formula (58) with e0, e3, all_0_15_15, all_0_36_36 and discharging atoms op(e0, e3) = all_0_15_15, op(e0, e3) = all_0_36_36, yields: % 24.45/6.54 | (10469) all_0_15_15 = all_0_36_36 % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (94), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (758) all_0_25_25 = e0 % 24.45/6.54 | % 24.45/6.54 | Equations (758) can reduce 130 to: % 24.45/6.54 | (322) ~ (all_0_27_27 = e0) % 24.45/6.54 | % 24.45/6.54 | Simplifying 322 yields: % 24.45/6.54 | (199) ~ (all_0_27_27 = e0) % 24.45/6.54 | % 24.45/6.54 | Equations (758) can reduce 31 to: % 24.45/6.54 | (314) ~ (all_0_37_37 = e0) % 24.45/6.54 | % 24.45/6.54 | Simplifying 314 yields: % 24.45/6.54 | (203) ~ (all_0_37_37 = e0) % 24.45/6.54 | % 24.45/6.54 | Equations (758) can reduce 223 to: % 24.45/6.54 | (205) ~ (e3 = e0) % 24.45/6.54 | % 24.45/6.54 | Simplifying 205 yields: % 24.45/6.54 | (79) ~ (e3 = e0) % 24.45/6.54 | % 24.45/6.54 | Equations (758) can reduce 345 to: % 24.45/6.54 | (209) ~ (e1 = e0) % 24.45/6.54 | % 24.45/6.54 | Simplifying 209 yields: % 24.45/6.54 | (153) ~ (e1 = e0) % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (96), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (328) all_0_27_27 = e3 % 24.45/6.54 | % 24.45/6.54 | Equations (328) can reduce 227 to: % 24.45/6.54 | (188) $false % 24.45/6.54 | % 24.45/6.54 |-The branch is then unsatisfiable % 24.45/6.54 |-Branch two: % 24.45/6.54 | (227) ~ (all_0_27_27 = e3) % 24.45/6.54 | (922) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0 % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (922), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (539) all_0_27_27 = e2 % 24.45/6.54 | % 24.45/6.54 | Equations (539) can reduce 199 to: % 24.45/6.54 | (87) ~ (e2 = e0) % 24.45/6.54 | % 24.45/6.54 | From (539) and (136) follows: % 24.45/6.54 | (10485) op(e0, e2) = all_0_11_11 % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (38), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (930) all_0_27_27 = e0 % 24.45/6.54 | % 24.45/6.54 | Combining equations (539,930) yields a new equation: % 24.45/6.54 | (535) e2 = e0 % 24.45/6.54 | % 24.45/6.54 | Simplifying 535 yields: % 24.45/6.54 | (536) e2 = e0 % 24.45/6.54 | % 24.45/6.54 | Equations (536) can reduce 87 to: % 24.45/6.54 | (188) $false % 24.45/6.54 | % 24.45/6.54 |-The branch is then unsatisfiable % 24.45/6.54 |-Branch two: % 24.45/6.54 | (199) ~ (all_0_27_27 = e0) % 24.45/6.54 | (4595) all_0_31_31 = e0 | all_0_35_35 = e0 | all_0_39_39 = e0 % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (4595), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (938) all_0_31_31 = e0 % 24.45/6.54 | % 24.45/6.54 | Combining equations (416,938) yields a new equation: % 24.45/6.54 | (425) e3 = e0 % 24.45/6.54 | % 24.45/6.54 | Simplifying 425 yields: % 24.45/6.54 | (370) e3 = e0 % 24.45/6.54 | % 24.45/6.54 | Equations (370) can reduce 79 to: % 24.45/6.54 | (188) $false % 24.45/6.54 | % 24.45/6.54 |-The branch is then unsatisfiable % 24.45/6.54 |-Branch two: % 24.45/6.54 | (200) ~ (all_0_31_31 = e0) % 24.45/6.54 | (4760) all_0_35_35 = e0 | all_0_39_39 = e0 % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (4760), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (401) all_0_35_35 = e0 % 24.45/6.54 | % 24.45/6.54 | Combining equations (401,10444) yields a new equation: % 24.45/6.54 | (1199) all_0_22_22 = e0 % 24.45/6.54 | % 24.45/6.54 | Equations (401) can reduce 389 to: % 24.45/6.54 | (205) ~ (e3 = e0) % 24.45/6.54 | % 24.45/6.54 | Simplifying 205 yields: % 24.45/6.54 | (79) ~ (e3 = e0) % 24.45/6.54 | % 24.45/6.54 | Instantiating formula (58) with e0, e2, all_0_11_11, all_0_37_37 and discharging atoms op(e0, e2) = all_0_11_11, op(e0, e2) = all_0_37_37, yields: % 24.45/6.54 | (10502) all_0_11_11 = all_0_37_37 % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (80), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (363) all_0_25_25 = e3 % 24.45/6.54 | % 24.45/6.54 | Combining equations (758,363) yields a new equation: % 24.45/6.54 | (370) e3 = e0 % 24.45/6.54 | % 24.45/6.54 | Equations (370) can reduce 79 to: % 24.45/6.54 | (188) $false % 24.45/6.54 | % 24.45/6.54 |-The branch is then unsatisfiable % 24.45/6.54 |-Branch two: % 24.45/6.54 | (223) ~ (all_0_25_25 = e3) % 24.45/6.54 | (368) all_0_29_29 = e3 | all_0_33_33 = e3 | all_0_37_37 = e3 % 24.45/6.54 | % 24.45/6.54 | Equations (758) can reduce 223 to: % 24.45/6.54 | (205) ~ (e3 = e0) % 24.45/6.54 | % 24.45/6.54 | Simplifying 205 yields: % 24.45/6.54 | (79) ~ (e3 = e0) % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (97), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (454) all_0_36_36 = e3 % 24.45/6.54 | % 24.45/6.54 | Combining equations (454,10469) yields a new equation: % 24.45/6.54 | (2321) all_0_15_15 = e3 % 24.45/6.54 | % 24.45/6.54 | Equations (454) can reduce 169 to: % 24.45/6.54 | (1388) ~ (all_0_37_37 = e3) % 24.45/6.54 | % 24.45/6.54 | Simplifying 1388 yields: % 24.45/6.54 | (481) ~ (all_0_37_37 = e3) % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (111), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (377) all_0_37_37 = e3 % 24.45/6.54 | % 24.45/6.54 | Equations (377) can reduce 481 to: % 24.45/6.54 | (188) $false % 24.45/6.54 | % 24.45/6.54 |-The branch is then unsatisfiable % 24.45/6.54 |-Branch two: % 24.45/6.54 | (481) ~ (all_0_37_37 = e3) % 24.45/6.54 | (2566) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0 % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (48), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (273) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) | ( ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35)) % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (273), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (274) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (274), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (275) ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27) % 24.45/6.54 | % 24.45/6.54 | Applying alpha-rule on (275) yields: % 24.45/6.54 | (276) ~ (all_0_8_8 = all_0_24_24) % 24.45/6.54 | (277) ~ (all_0_9_9 = all_0_25_25) % 24.45/6.54 | (278) ~ (all_0_10_10 = all_0_26_26) % 24.45/6.54 | (279) ~ (all_0_11_11 = all_0_27_27) % 24.45/6.54 | % 24.45/6.54 | Equations (10502,539) can reduce 279 to: % 24.45/6.54 | (339) ~ (all_0_37_37 = e2) % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (2566), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (814) all_0_37_37 = e2 % 24.45/6.54 | % 24.45/6.54 | Equations (814) can reduce 339 to: % 24.45/6.54 | (188) $false % 24.45/6.54 | % 24.45/6.54 |-The branch is then unsatisfiable % 24.45/6.54 |-Branch two: % 24.45/6.54 | (339) ~ (all_0_37_37 = e2) % 24.45/6.54 | (2755) all_0_37_37 = e1 | all_0_37_37 = e0 % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (2755), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (386) all_0_37_37 = e1 % 24.45/6.54 | % 24.45/6.54 | Equations (386) can reduce 504 to: % 24.45/6.54 | (188) $false % 24.45/6.54 | % 24.45/6.54 |-The branch is then unsatisfiable % 24.45/6.54 |-Branch two: % 24.45/6.54 | (504) ~ (all_0_37_37 = e1) % 24.45/6.54 | (886) all_0_37_37 = e0 % 24.45/6.54 | % 24.45/6.54 | Equations (886) can reduce 203 to: % 24.45/6.54 | (188) $false % 24.45/6.54 | % 24.45/6.54 |-The branch is then unsatisfiable % 24.45/6.54 |-Branch two: % 24.45/6.54 | (281) ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31) % 24.45/6.54 | % 24.45/6.54 | Applying alpha-rule on (281) yields: % 24.45/6.54 | (282) ~ (all_0_12_12 = all_0_28_28) % 24.45/6.54 | (283) ~ (all_0_13_13 = all_0_29_29) % 24.45/6.54 | (284) ~ (all_0_14_14 = all_0_30_30) % 24.45/6.54 | (285) ~ (all_0_15_15 = all_0_31_31) % 24.45/6.54 | % 24.45/6.54 | Equations (2321,416) can reduce 285 to: % 24.45/6.54 | (188) $false % 24.45/6.54 | % 24.45/6.54 |-The branch is then unsatisfiable % 24.45/6.54 |-Branch two: % 24.45/6.54 | (607) ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35) % 24.45/6.54 | % 24.45/6.54 | Applying alpha-rule on (607) yields: % 24.45/6.54 | (608) ~ (all_0_16_16 = all_0_32_32) % 24.45/6.54 | (609) ~ (all_0_17_17 = all_0_33_33) % 24.45/6.54 | (610) ~ (all_0_18_18 = all_0_34_34) % 24.45/6.54 | (611) ~ (all_0_19_19 = all_0_35_35) % 24.45/6.54 | % 24.45/6.54 | Equations (272,256) can reduce 610 to: % 24.45/6.54 | (188) $false % 24.45/6.54 | % 24.45/6.54 |-The branch is then unsatisfiable % 24.45/6.54 |-Branch two: % 24.45/6.54 | (613) ~ (all_0_20_20 = all_0_36_36) & ~ (all_0_21_21 = all_0_37_37) & ~ (all_0_22_22 = all_0_38_38) & ~ (all_0_23_23 = all_0_39_39) % 24.45/6.54 | % 24.45/6.54 | Applying alpha-rule on (613) yields: % 24.45/6.54 | (614) ~ (all_0_20_20 = all_0_36_36) % 24.45/6.54 | (615) ~ (all_0_21_21 = all_0_37_37) % 24.45/6.54 | (616) ~ (all_0_22_22 = all_0_38_38) % 24.45/6.54 | (617) ~ (all_0_23_23 = all_0_39_39) % 24.45/6.54 | % 24.45/6.54 | Equations (1199,583) can reduce 616 to: % 24.45/6.54 | (188) $false % 24.45/6.54 | % 24.45/6.54 |-The branch is then unsatisfiable % 24.45/6.54 |-Branch two: % 24.45/6.54 | (233) ~ (all_0_36_36 = e3) % 24.45/6.54 | (457) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0 % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (107), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (454) all_0_36_36 = e3 % 24.45/6.54 | % 24.45/6.54 | Equations (454) can reduce 233 to: % 24.45/6.54 | (188) $false % 24.45/6.54 | % 24.45/6.54 |-The branch is then unsatisfiable % 24.45/6.54 |-Branch two: % 24.45/6.54 | (233) ~ (all_0_36_36 = e3) % 24.45/6.54 | (477) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3 % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (457), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (732) all_0_36_36 = e2 % 24.45/6.54 | % 24.45/6.54 | Combining equations (732,10469) yields a new equation: % 24.45/6.54 | (2582) all_0_15_15 = e2 % 24.45/6.54 | % 24.45/6.54 | Equations (732) can reduce 169 to: % 24.45/6.54 | (338) ~ (all_0_37_37 = e2) % 24.45/6.54 | % 24.45/6.54 | Simplifying 338 yields: % 24.45/6.54 | (339) ~ (all_0_37_37 = e2) % 24.45/6.54 | % 24.45/6.54 | Equations (732) can reduce 202 to: % 24.45/6.54 | (87) ~ (e2 = e0) % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (477), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (377) all_0_37_37 = e3 % 24.45/6.54 | % 24.45/6.54 | Equations (377) can reduce 339 to: % 24.45/6.54 | (62) ~ (e3 = e2) % 24.45/6.54 | % 24.45/6.54 | Equations (377) can reduce 504 to: % 24.45/6.54 | (74) ~ (e3 = e1) % 24.45/6.54 | % 24.45/6.54 | Equations (377) can reduce 203 to: % 24.45/6.54 | (79) ~ (e3 = e0) % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (124), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (408) all_0_32_32 = e3 % 24.45/6.54 | % 24.45/6.54 | Combining equations (408,10439) yields a new equation: % 24.45/6.54 | (776) all_0_10_10 = e3 % 24.45/6.54 | % 24.45/6.54 | Equations (408) can reduce 2 to: % 24.45/6.54 | (2343) ~ (all_0_33_33 = e3) % 24.45/6.54 | % 24.45/6.54 | Simplifying 2343 yields: % 24.45/6.54 | (359) ~ (all_0_33_33 = e3) % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (85), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (337) all_0_25_25 = e2 % 24.45/6.54 | % 24.45/6.54 | Combining equations (758,337) yields a new equation: % 24.45/6.54 | (536) e2 = e0 % 24.45/6.54 | % 24.45/6.54 | Equations (536) can reduce 87 to: % 24.45/6.54 | (188) $false % 24.45/6.54 | % 24.45/6.54 |-The branch is then unsatisfiable % 24.45/6.54 |-Branch two: % 24.45/6.54 | (532) ~ (all_0_25_25 = e2) % 24.45/6.54 | (805) all_0_29_29 = e2 | all_0_33_33 = e2 | all_0_37_37 = e2 % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (33), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (374) all_0_33_33 = e3 % 24.45/6.54 | % 24.45/6.54 | Equations (374) can reduce 359 to: % 24.45/6.54 | (188) $false % 24.45/6.54 | % 24.45/6.54 |-The branch is then unsatisfiable % 24.45/6.54 |-Branch two: % 24.45/6.54 | (359) ~ (all_0_33_33 = e3) % 24.45/6.54 | (2357) all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0 % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (48), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (273) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) | ( ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35)) % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (273), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (274) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (274), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (275) ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27) % 24.45/6.54 | % 24.45/6.54 | Applying alpha-rule on (275) yields: % 24.45/6.54 | (276) ~ (all_0_8_8 = all_0_24_24) % 24.45/6.54 | (277) ~ (all_0_9_9 = all_0_25_25) % 24.45/6.54 | (278) ~ (all_0_10_10 = all_0_26_26) % 24.45/6.54 | (279) ~ (all_0_11_11 = all_0_27_27) % 24.45/6.54 | % 24.45/6.54 | Equations (776,543) can reduce 278 to: % 24.45/6.54 | (188) $false % 24.45/6.54 | % 24.45/6.54 |-The branch is then unsatisfiable % 24.45/6.54 |-Branch two: % 24.45/6.54 | (281) ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31) % 24.45/6.54 | % 24.45/6.54 | Applying alpha-rule on (281) yields: % 24.45/6.54 | (282) ~ (all_0_12_12 = all_0_28_28) % 24.45/6.54 | (283) ~ (all_0_13_13 = all_0_29_29) % 24.45/6.54 | (284) ~ (all_0_14_14 = all_0_30_30) % 24.45/6.54 | (285) ~ (all_0_15_15 = all_0_31_31) % 24.45/6.54 | % 24.45/6.54 | Equations (299,303) can reduce 283 to: % 24.45/6.54 | (128) ~ (e2 = e1) % 24.45/6.54 | % 24.45/6.54 | Equations (9799,565) can reduce 284 to: % 24.45/6.54 | (813) ~ (all_0_33_33 = e2) % 24.45/6.54 | % 24.45/6.54 | Equations (2582,416) can reduce 285 to: % 24.45/6.54 | (340) ~ (e3 = e2) % 24.45/6.54 | % 24.45/6.54 | Simplifying 340 yields: % 24.45/6.54 | (62) ~ (e3 = e2) % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (805), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (291) all_0_29_29 = e2 % 24.45/6.54 | % 24.45/6.54 | Combining equations (303,291) yields a new equation: % 24.45/6.54 | (343) e2 = e1 % 24.45/6.54 | % 24.45/6.54 | Equations (343) can reduce 128 to: % 24.45/6.54 | (188) $false % 24.45/6.54 | % 24.45/6.54 |-The branch is then unsatisfiable % 24.45/6.54 |-Branch two: % 24.45/6.54 | (301) ~ (all_0_29_29 = e2) % 24.45/6.54 | (809) all_0_33_33 = e2 | all_0_37_37 = e2 % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (14), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (405) all_0_32_32 = e2 % 24.45/6.54 | % 24.45/6.54 | Combining equations (405,408) yields a new equation: % 24.45/6.54 | (333) e3 = e2 % 24.45/6.54 | % 24.45/6.54 | Equations (333) can reduce 62 to: % 24.45/6.54 | (188) $false % 24.45/6.54 | % 24.45/6.54 |-The branch is then unsatisfiable % 24.45/6.54 |-Branch two: % 24.45/6.54 | (428) ~ (all_0_32_32 = e2) % 24.45/6.54 | (429) all_0_33_33 = e2 | all_0_34_34 = e2 | all_0_35_35 = e2 % 24.45/6.54 | % 24.45/6.54 | Equations (408) can reduce 428 to: % 24.45/6.54 | (62) ~ (e3 = e2) % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (2357), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (810) all_0_33_33 = e2 % 24.45/6.54 | % 24.45/6.54 | Equations (810) can reduce 813 to: % 24.45/6.54 | (188) $false % 24.45/6.54 | % 24.45/6.54 |-The branch is then unsatisfiable % 24.45/6.54 |-Branch two: % 24.45/6.54 | (813) ~ (all_0_33_33 = e2) % 24.45/6.54 | (2556) all_0_33_33 = e1 | all_0_33_33 = e0 % 24.45/6.54 | % 24.45/6.54 +-Applying beta-rule and splitting (809), into two cases. % 24.45/6.54 |-Branch one: % 24.45/6.54 | (810) all_0_33_33 = e2 % 24.45/6.54 | % 24.45/6.54 | Equations (810) can reduce 813 to: % 24.45/6.54 | (188) $false % 24.45/6.54 | % 24.45/6.54 |-The branch is then unsatisfiable % 24.45/6.54 |-Branch two: % 24.45/6.54 | (813) ~ (all_0_33_33 = e2) % 24.45/6.55 | (814) all_0_37_37 = e2 % 24.45/6.55 | % 24.45/6.55 | Combining equations (814,377) yields a new equation: % 24.45/6.55 | (333) e3 = e2 % 24.45/6.55 | % 24.45/6.55 | Equations (333) can reduce 62 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (607) ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35) % 24.45/6.55 | % 24.45/6.55 | Applying alpha-rule on (607) yields: % 24.45/6.55 | (608) ~ (all_0_16_16 = all_0_32_32) % 24.45/6.55 | (609) ~ (all_0_17_17 = all_0_33_33) % 24.45/6.55 | (610) ~ (all_0_18_18 = all_0_34_34) % 24.45/6.55 | (611) ~ (all_0_19_19 = all_0_35_35) % 24.45/6.55 | % 24.45/6.55 | Equations (272,256) can reduce 610 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (613) ~ (all_0_20_20 = all_0_36_36) & ~ (all_0_21_21 = all_0_37_37) & ~ (all_0_22_22 = all_0_38_38) & ~ (all_0_23_23 = all_0_39_39) % 24.45/6.55 | % 24.45/6.55 | Applying alpha-rule on (613) yields: % 24.45/6.55 | (614) ~ (all_0_20_20 = all_0_36_36) % 24.45/6.55 | (615) ~ (all_0_21_21 = all_0_37_37) % 24.45/6.55 | (616) ~ (all_0_22_22 = all_0_38_38) % 24.45/6.55 | (617) ~ (all_0_23_23 = all_0_39_39) % 24.45/6.55 | % 24.45/6.55 | Equations (1199,583) can reduce 616 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (231) ~ (all_0_32_32 = e3) % 24.45/6.55 | (433) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0 % 24.45/6.55 | % 24.45/6.55 +-Applying beta-rule and splitting (54), into two cases. % 24.45/6.55 |-Branch one: % 24.45/6.55 | (408) all_0_32_32 = e3 % 24.45/6.55 | % 24.45/6.55 | Equations (408) can reduce 231 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (231) ~ (all_0_32_32 = e3) % 24.45/6.55 | (413) all_0_33_33 = e3 | all_0_34_34 = e3 | all_0_35_35 = e3 % 24.45/6.55 | % 24.45/6.55 +-Applying beta-rule and splitting (142), into two cases. % 24.45/6.55 |-Branch one: % 24.45/6.55 | (221) all_0_24_24 = e3 % 24.45/6.55 | % 24.45/6.55 | Combining equations (694,221) yields a new equation: % 24.45/6.55 | (387) e3 = e1 % 24.45/6.55 | % 24.45/6.55 | Equations (387) can reduce 74 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (1876) ~ (all_0_24_24 = e3) % 24.45/6.55 | (2125) all_0_28_28 = e3 | all_0_32_32 = e3 | all_0_36_36 = e3 % 24.45/6.55 | % 24.45/6.55 +-Applying beta-rule and splitting (2125), into two cases. % 24.45/6.55 |-Branch one: % 24.45/6.55 | (654) all_0_28_28 = e3 % 24.45/6.55 | % 24.45/6.55 | Combining equations (763,654) yields a new equation: % 24.45/6.55 | (370) e3 = e0 % 24.45/6.55 | % 24.45/6.55 | Equations (370) can reduce 79 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (229) ~ (all_0_28_28 = e3) % 24.45/6.55 | (2149) all_0_32_32 = e3 | all_0_36_36 = e3 % 24.45/6.55 | % 24.45/6.55 +-Applying beta-rule and splitting (2149), into two cases. % 24.45/6.55 |-Branch one: % 24.45/6.55 | (408) all_0_32_32 = e3 % 24.45/6.55 | % 24.45/6.55 | Equations (408) can reduce 231 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (231) ~ (all_0_32_32 = e3) % 24.45/6.55 | (454) all_0_36_36 = e3 % 24.45/6.55 | % 24.45/6.55 | Combining equations (454,732) yields a new equation: % 24.45/6.55 | (364) e3 = e2 % 24.45/6.55 | % 24.45/6.55 | Simplifying 364 yields: % 24.45/6.55 | (333) e3 = e2 % 24.45/6.55 | % 24.45/6.55 | Equations (333) can reduce 62 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (481) ~ (all_0_37_37 = e3) % 24.45/6.55 | (482) all_0_38_38 = e3 | all_0_39_39 = e3 % 24.45/6.55 | % 24.45/6.55 +-Applying beta-rule and splitting (368), into two cases. % 24.45/6.55 |-Branch one: % 24.45/6.55 | (287) all_0_29_29 = e3 % 24.45/6.55 | % 24.45/6.55 | Combining equations (303,287) yields a new equation: % 24.45/6.55 | (387) e3 = e1 % 24.45/6.55 | % 24.45/6.55 | Equations (387) can reduce 74 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (246) ~ (all_0_29_29 = e3) % 24.45/6.55 | (373) all_0_33_33 = e3 | all_0_37_37 = e3 % 24.45/6.55 | % 24.45/6.55 | Equations (303) can reduce 246 to: % 24.45/6.55 | (691) ~ (e3 = e1) % 24.45/6.55 | % 24.45/6.55 | Simplifying 691 yields: % 24.45/6.55 | (74) ~ (e3 = e1) % 24.45/6.55 | % 24.45/6.55 +-Applying beta-rule and splitting (482), into two cases. % 24.45/6.55 |-Branch one: % 24.45/6.55 | (489) all_0_38_38 = e3 % 24.45/6.55 | % 24.45/6.55 | Combining equations (583,489) yields a new equation: % 24.45/6.55 | (370) e3 = e0 % 24.45/6.55 | % 24.45/6.55 | Equations (370) can reduce 79 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (499) ~ (all_0_38_38 = e3) % 24.45/6.55 | (187) all_0_39_39 = e3 % 24.45/6.55 | % 24.45/6.55 | Combining equations (187,195) yields a new equation: % 24.45/6.55 | (492) e3 = e1 % 24.45/6.55 | % 24.45/6.55 | Simplifying 492 yields: % 24.45/6.55 | (387) e3 = e1 % 24.45/6.55 | % 24.45/6.55 | Equations (387) can reduce 74 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (828) ~ (all_0_36_36 = e2) % 24.45/6.55 | (1147) all_0_36_36 = e1 | all_0_36_36 = e0 % 24.45/6.55 | % 24.45/6.55 +-Applying beta-rule and splitting (1147), into two cases. % 24.45/6.55 |-Branch one: % 24.45/6.55 | (445) all_0_36_36 = e1 % 24.45/6.55 | % 24.45/6.55 | Equations (445) can reduce 352 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (352) ~ (all_0_36_36 = e1) % 24.45/6.55 | (1232) all_0_36_36 = e0 % 24.45/6.55 | % 24.45/6.55 | Equations (1232) can reduce 202 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (201) ~ (all_0_35_35 = e0) % 24.45/6.55 | (198) all_0_39_39 = e0 % 24.45/6.55 | % 24.45/6.55 | Combining equations (195,198) yields a new equation: % 24.45/6.55 | (510) e1 = e0 % 24.45/6.55 | % 24.45/6.55 | Simplifying 510 yields: % 24.45/6.55 | (379) e1 = e0 % 24.45/6.55 | % 24.45/6.55 | Equations (379) can reduce 153 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (310) ~ (all_0_27_27 = e2) % 24.45/6.55 | (926) all_0_27_27 = e1 | all_0_27_27 = e0 % 24.45/6.55 | % 24.45/6.55 +-Applying beta-rule and splitting (926), into two cases. % 24.45/6.55 |-Branch one: % 24.45/6.55 | (354) all_0_27_27 = e1 % 24.45/6.55 | % 24.45/6.55 | Equations (354) can reduce 443 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (443) ~ (all_0_27_27 = e1) % 24.45/6.55 | (930) all_0_27_27 = e0 % 24.45/6.55 | % 24.45/6.55 | Equations (930) can reduce 199 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (726) ~ (all_0_25_25 = e0) % 24.45/6.55 | (762) all_0_29_29 = e0 | all_0_33_33 = e0 | all_0_37_37 = e0 % 24.45/6.55 | % 24.45/6.55 +-Applying beta-rule and splitting (762), into two cases. % 24.45/6.55 |-Branch one: % 24.45/6.55 | (306) all_0_29_29 = e0 % 24.45/6.55 | % 24.45/6.55 | Combining equations (303,306) yields a new equation: % 24.45/6.55 | (510) e1 = e0 % 24.45/6.55 | % 24.45/6.55 | Simplifying 510 yields: % 24.45/6.55 | (379) e1 = e0 % 24.45/6.55 | % 24.45/6.55 | Equations (379) can reduce 153 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (286) ~ (all_0_29_29 = e0) % 24.45/6.55 | (790) all_0_33_33 = e0 | all_0_37_37 = e0 % 24.45/6.55 | % 24.45/6.55 +-Applying beta-rule and splitting (790), into two cases. % 24.45/6.55 |-Branch one: % 24.45/6.55 | (882) all_0_33_33 = e0 % 24.45/6.55 | % 24.45/6.55 | Equations (882) can reduce 2 to: % 24.45/6.55 | (403) ~ (all_0_32_32 = e0) % 24.45/6.55 | % 24.45/6.55 | Equations (882) can reduce 106 to: % 24.45/6.55 | (392) ~ (all_0_35_35 = e0) % 24.45/6.55 | % 24.45/6.55 | Simplifying 392 yields: % 24.45/6.55 | (201) ~ (all_0_35_35 = e0) % 24.45/6.55 | % 24.45/6.55 | Equations (882) can reduce 259 to: % 24.45/6.55 | (209) ~ (e1 = e0) % 24.45/6.55 | % 24.45/6.55 | Simplifying 209 yields: % 24.45/6.55 | (153) ~ (e1 = e0) % 24.45/6.55 | % 24.45/6.55 +-Applying beta-rule and splitting (179), into two cases. % 24.45/6.55 |-Branch one: % 24.45/6.55 | (358) all_0_35_35 = e3 % 24.45/6.55 | % 24.45/6.55 | Equations (358) can reduce 389 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (389) ~ (all_0_35_35 = e3) % 24.45/6.55 | (390) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0 % 24.45/6.55 | % 24.45/6.55 +-Applying beta-rule and splitting (38), into two cases. % 24.45/6.55 |-Branch one: % 24.45/6.55 | (930) all_0_27_27 = e0 % 24.45/6.55 | % 24.45/6.55 | Combining equations (930,10468) yields a new equation: % 24.45/6.55 | (10709) all_0_12_12 = e0 % 24.45/6.55 | % 24.45/6.55 | Equations (930) can reduce 7 to: % 24.45/6.55 | (392) ~ (all_0_35_35 = e0) % 24.45/6.55 | % 24.45/6.55 | Simplifying 392 yields: % 24.45/6.55 | (201) ~ (all_0_35_35 = e0) % 24.45/6.55 | % 24.45/6.55 +-Applying beta-rule and splitting (13), into two cases. % 24.45/6.55 |-Branch one: % 24.45/6.55 | (539) all_0_27_27 = e2 % 24.45/6.55 | % 24.45/6.55 | Combining equations (930,539) yields a new equation: % 24.45/6.55 | (536) e2 = e0 % 24.45/6.55 | % 24.45/6.55 | Equations (536) can reduce 87 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (310) ~ (all_0_27_27 = e2) % 24.45/6.55 | (741) all_0_31_31 = e2 | all_0_35_35 = e2 | all_0_39_39 = e2 % 24.45/6.55 | % 24.45/6.55 +-Applying beta-rule and splitting (741), into two cases. % 24.45/6.55 |-Branch one: % 24.45/6.55 | (309) all_0_31_31 = e2 % 24.45/6.55 | % 24.45/6.55 | Combining equations (416,309) yields a new equation: % 24.45/6.55 | (364) e3 = e2 % 24.45/6.55 | % 24.45/6.55 | Simplifying 364 yields: % 24.45/6.55 | (333) e3 = e2 % 24.45/6.55 | % 24.45/6.55 | Equations (333) can reduce 62 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (817) ~ (all_0_31_31 = e2) % 24.45/6.55 | (818) all_0_35_35 = e2 | all_0_39_39 = e2 % 24.45/6.55 | % 24.45/6.55 +-Applying beta-rule and splitting (818), into two cases. % 24.45/6.55 |-Branch one: % 24.45/6.55 | (394) all_0_35_35 = e2 % 24.45/6.55 | % 24.45/6.55 | Equations (394) can reduce 89 to: % 24.45/6.55 | (428) ~ (all_0_32_32 = e2) % 24.45/6.55 | % 24.45/6.55 | Equations (394) can reduce 261 to: % 24.45/6.55 | (128) ~ (e2 = e1) % 24.45/6.55 | % 24.45/6.55 | Equations (394) can reduce 201 to: % 24.45/6.55 | (87) ~ (e2 = e0) % 24.45/6.55 | % 24.45/6.55 +-Applying beta-rule and splitting (158), into two cases. % 24.45/6.55 |-Branch one: % 24.45/6.55 | (332) all_0_24_24 = e2 % 24.45/6.55 | % 24.45/6.55 | Combining equations (332,694) yields a new equation: % 24.45/6.55 | (484) e2 = e1 % 24.45/6.55 | % 24.45/6.55 | Simplifying 484 yields: % 24.45/6.55 | (343) e2 = e1 % 24.45/6.55 | % 24.45/6.55 | Equations (343) can reduce 128 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (219) ~ (all_0_24_24 = e2) % 24.45/6.55 | (336) all_0_25_25 = e2 | all_0_26_26 = e2 | all_0_27_27 = e2 % 24.45/6.55 | % 24.45/6.55 | Equations (694) can reduce 219 to: % 24.45/6.55 | (264) ~ (e2 = e1) % 24.45/6.55 | % 24.45/6.55 | Simplifying 264 yields: % 24.45/6.55 | (128) ~ (e2 = e1) % 24.45/6.55 | % 24.45/6.55 +-Applying beta-rule and splitting (124), into two cases. % 24.45/6.55 |-Branch one: % 24.45/6.55 | (408) all_0_32_32 = e3 % 24.45/6.55 | % 24.45/6.55 | Combining equations (408,10439) yields a new equation: % 24.45/6.55 | (776) all_0_10_10 = e3 % 24.45/6.55 | % 24.45/6.55 | Equations (408) can reduce 11 to: % 24.45/6.55 | (232) ~ (all_0_36_36 = e3) % 24.45/6.55 | % 24.45/6.55 | Simplifying 232 yields: % 24.45/6.55 | (233) ~ (all_0_36_36 = e3) % 24.45/6.55 | % 24.45/6.55 | Equations (408) can reduce 428 to: % 24.45/6.55 | (62) ~ (e3 = e2) % 24.45/6.55 | % 24.45/6.55 | Equations (408) can reduce 350 to: % 24.45/6.55 | (74) ~ (e3 = e1) % 24.45/6.55 | % 24.45/6.55 | Equations (408) can reduce 403 to: % 24.45/6.55 | (79) ~ (e3 = e0) % 24.45/6.55 | % 24.45/6.55 +-Applying beta-rule and splitting (107), into two cases. % 24.45/6.55 |-Branch one: % 24.45/6.55 | (454) all_0_36_36 = e3 % 24.45/6.55 | % 24.45/6.55 | Equations (454) can reduce 233 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (233) ~ (all_0_36_36 = e3) % 24.45/6.55 | (477) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3 % 24.45/6.55 | % 24.45/6.55 +-Applying beta-rule and splitting (477), into two cases. % 24.45/6.55 |-Branch one: % 24.45/6.55 | (377) all_0_37_37 = e3 % 24.45/6.55 | % 24.45/6.55 | Equations (377) can reduce 169 to: % 24.45/6.55 | (233) ~ (all_0_36_36 = e3) % 24.45/6.55 | % 24.45/6.55 +-Applying beta-rule and splitting (98), into two cases. % 24.45/6.55 |-Branch one: % 24.45/6.55 | (732) all_0_36_36 = e2 % 24.45/6.55 | % 24.45/6.55 | Equations (732) can reduce 233 to: % 24.45/6.55 | (340) ~ (e3 = e2) % 24.45/6.55 | % 24.45/6.55 | Simplifying 340 yields: % 24.45/6.55 | (62) ~ (e3 = e2) % 24.45/6.55 | % 24.45/6.55 | Equations (732) can reduce 202 to: % 24.45/6.55 | (87) ~ (e2 = e0) % 24.45/6.55 | % 24.45/6.55 | From (732) and (86) follows: % 24.45/6.55 | (3976) op(e3, e2) = all_0_20_20 % 24.45/6.55 | % 24.45/6.55 +-Applying beta-rule and splitting (85), into two cases. % 24.45/6.55 |-Branch one: % 24.45/6.55 | (337) all_0_25_25 = e2 % 24.45/6.55 | % 24.45/6.55 | From (337) and (43) follows: % 24.45/6.55 | (2821) op(e3, e2) = e2 % 24.45/6.55 | % 24.45/6.55 +-Applying beta-rule and splitting (48), into two cases. % 24.45/6.55 |-Branch one: % 24.45/6.55 | (273) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) | ( ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35)) % 24.45/6.55 | % 24.45/6.55 +-Applying beta-rule and splitting (273), into two cases. % 24.45/6.55 |-Branch one: % 24.45/6.55 | (274) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) % 24.45/6.55 | % 24.45/6.55 +-Applying beta-rule and splitting (274), into two cases. % 24.45/6.55 |-Branch one: % 24.45/6.55 | (275) ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27) % 24.45/6.55 | % 24.45/6.55 | Applying alpha-rule on (275) yields: % 24.45/6.55 | (276) ~ (all_0_8_8 = all_0_24_24) % 24.45/6.55 | (277) ~ (all_0_9_9 = all_0_25_25) % 24.45/6.55 | (278) ~ (all_0_10_10 = all_0_26_26) % 24.45/6.55 | (279) ~ (all_0_11_11 = all_0_27_27) % 24.45/6.55 | % 24.45/6.55 | Equations (776,543) can reduce 278 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (281) ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31) % 24.45/6.55 | % 24.45/6.55 | Applying alpha-rule on (281) yields: % 24.45/6.55 | (282) ~ (all_0_12_12 = all_0_28_28) % 24.45/6.55 | (283) ~ (all_0_13_13 = all_0_29_29) % 24.45/6.55 | (284) ~ (all_0_14_14 = all_0_30_30) % 24.45/6.55 | (285) ~ (all_0_15_15 = all_0_31_31) % 24.45/6.55 | % 24.45/6.55 | Equations (10709,763) can reduce 282 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (607) ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35) % 24.45/6.55 | % 24.45/6.55 | Applying alpha-rule on (607) yields: % 24.45/6.55 | (608) ~ (all_0_16_16 = all_0_32_32) % 24.45/6.55 | (609) ~ (all_0_17_17 = all_0_33_33) % 24.45/6.55 | (610) ~ (all_0_18_18 = all_0_34_34) % 24.45/6.55 | (611) ~ (all_0_19_19 = all_0_35_35) % 24.45/6.55 | % 24.45/6.55 | Equations (272,256) can reduce 610 to: % 24.45/6.55 | (188) $false % 24.45/6.55 | % 24.45/6.55 |-The branch is then unsatisfiable % 24.45/6.55 |-Branch two: % 24.45/6.55 | (613) ~ (all_0_20_20 = all_0_36_36) & ~ (all_0_21_21 = all_0_37_37) & ~ (all_0_22_22 = all_0_38_38) & ~ (all_0_23_23 = all_0_39_39) % 24.45/6.55 | % 24.45/6.55 | Applying alpha-rule on (613) yields: % 24.45/6.55 | (614) ~ (all_0_20_20 = all_0_36_36) % 24.45/6.55 | (615) ~ (all_0_21_21 = all_0_37_37) % 24.45/6.55 | (616) ~ (all_0_22_22 = all_0_38_38) % 24.45/6.55 | (617) ~ (all_0_23_23 = all_0_39_39) % 24.45/6.55 | % 24.45/6.55 | Equations (732) can reduce 614 to: % 24.45/6.55 | (10780) ~ (all_0_20_20 = e2) % 24.45/6.55 | % 24.45/6.55 | Instantiating formula (58) with e3, e2, e2, all_0_20_20 and discharging atoms op(e3, e2) = all_0_20_20, op(e3, e2) = e2, yields: % 24.45/6.55 | (10781) all_0_20_20 = e2 % 24.45/6.55 | % 24.45/6.56 | Equations (10781) can reduce 10780 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (532) ~ (all_0_25_25 = e2) % 24.45/6.56 | (805) all_0_29_29 = e2 | all_0_33_33 = e2 | all_0_37_37 = e2 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (336), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (337) all_0_25_25 = e2 % 24.45/6.56 | % 24.45/6.56 | Equations (337) can reduce 532 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (532) ~ (all_0_25_25 = e2) % 24.45/6.56 | (533) all_0_26_26 = e2 | all_0_27_27 = e2 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (533), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (534) all_0_26_26 = e2 % 24.45/6.56 | % 24.45/6.56 | Combining equations (534,543) yields a new equation: % 24.45/6.56 | (333) e3 = e2 % 24.45/6.56 | % 24.45/6.56 | Equations (333) can reduce 62 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (538) ~ (all_0_26_26 = e2) % 24.45/6.56 | (539) all_0_27_27 = e2 % 24.45/6.56 | % 24.45/6.56 | Combining equations (930,539) yields a new equation: % 24.45/6.56 | (536) e2 = e0 % 24.45/6.56 | % 24.45/6.56 | Equations (536) can reduce 87 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (828) ~ (all_0_36_36 = e2) % 24.45/6.56 | (829) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (829), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (814) all_0_37_37 = e2 % 24.45/6.56 | % 24.45/6.56 | Combining equations (814,377) yields a new equation: % 24.45/6.56 | (333) e3 = e2 % 24.45/6.56 | % 24.45/6.56 | Equations (333) can reduce 62 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (339) ~ (all_0_37_37 = e2) % 24.45/6.56 | (2054) all_0_38_38 = e2 | all_0_39_39 = e2 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (2054), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (576) all_0_38_38 = e2 % 24.45/6.56 | % 24.45/6.56 | Combining equations (583,576) yields a new equation: % 24.45/6.56 | (536) e2 = e0 % 24.45/6.56 | % 24.45/6.56 | Equations (536) can reduce 87 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (554) ~ (all_0_38_38 = e2) % 24.45/6.56 | (191) all_0_39_39 = e2 % 24.45/6.56 | % 24.45/6.56 | Combining equations (191,195) yields a new equation: % 24.45/6.56 | (484) e2 = e1 % 24.45/6.56 | % 24.45/6.56 | Simplifying 484 yields: % 24.45/6.56 | (343) e2 = e1 % 24.45/6.56 | % 24.45/6.56 | Equations (343) can reduce 128 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (481) ~ (all_0_37_37 = e3) % 24.45/6.56 | (482) all_0_38_38 = e3 | all_0_39_39 = e3 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (482), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (489) all_0_38_38 = e3 % 24.45/6.56 | % 24.45/6.56 | Combining equations (489,583) yields a new equation: % 24.45/6.56 | (425) e3 = e0 % 24.45/6.56 | % 24.45/6.56 | Simplifying 425 yields: % 24.45/6.56 | (370) e3 = e0 % 24.45/6.56 | % 24.45/6.56 | Equations (370) can reduce 79 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (499) ~ (all_0_38_38 = e3) % 24.45/6.56 | (187) all_0_39_39 = e3 % 24.45/6.56 | % 24.45/6.56 | Combining equations (195,187) yields a new equation: % 24.45/6.56 | (387) e3 = e1 % 24.45/6.56 | % 24.45/6.56 | Equations (387) can reduce 74 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (231) ~ (all_0_32_32 = e3) % 24.45/6.56 | (433) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (433), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (405) all_0_32_32 = e2 % 24.45/6.56 | % 24.45/6.56 | Equations (405) can reduce 428 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (428) ~ (all_0_32_32 = e2) % 24.45/6.56 | (437) all_0_32_32 = e1 | all_0_32_32 = e0 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (437), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (438) all_0_32_32 = e1 % 24.45/6.56 | % 24.45/6.56 | Equations (438) can reduce 350 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (350) ~ (all_0_32_32 = e1) % 24.45/6.56 | (391) all_0_32_32 = e0 % 24.45/6.56 | % 24.45/6.56 | Equations (391) can reduce 403 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (319) ~ (all_0_35_35 = e2) % 24.45/6.56 | (191) all_0_39_39 = e2 % 24.45/6.56 | % 24.45/6.56 | Combining equations (195,191) yields a new equation: % 24.45/6.56 | (343) e2 = e1 % 24.45/6.56 | % 24.45/6.56 | Equations (343) can reduce 128 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (199) ~ (all_0_27_27 = e0) % 24.45/6.56 | (4595) all_0_31_31 = e0 | all_0_35_35 = e0 | all_0_39_39 = e0 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (390), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (394) all_0_35_35 = e2 % 24.45/6.56 | % 24.45/6.56 | Equations (394) can reduce 201 to: % 24.45/6.56 | (87) ~ (e2 = e0) % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (4595), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (938) all_0_31_31 = e0 % 24.45/6.56 | % 24.45/6.56 | Combining equations (938,416) yields a new equation: % 24.45/6.56 | (370) e3 = e0 % 24.45/6.56 | % 24.45/6.56 | Equations (370) can reduce 79 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (200) ~ (all_0_31_31 = e0) % 24.45/6.56 | (4760) all_0_35_35 = e0 | all_0_39_39 = e0 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (4760), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (401) all_0_35_35 = e0 % 24.45/6.56 | % 24.45/6.56 | Combining equations (394,401) yields a new equation: % 24.45/6.56 | (535) e2 = e0 % 24.45/6.56 | % 24.45/6.56 | Simplifying 535 yields: % 24.45/6.56 | (536) e2 = e0 % 24.45/6.56 | % 24.45/6.56 | Equations (536) can reduce 87 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (201) ~ (all_0_35_35 = e0) % 24.45/6.56 | (198) all_0_39_39 = e0 % 24.45/6.56 | % 24.45/6.56 | Combining equations (195,198) yields a new equation: % 24.45/6.56 | (510) e1 = e0 % 24.45/6.56 | % 24.45/6.56 | Simplifying 510 yields: % 24.45/6.56 | (379) e1 = e0 % 24.45/6.56 | % 24.45/6.56 | Equations (379) can reduce 153 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (319) ~ (all_0_35_35 = e2) % 24.45/6.56 | (397) all_0_35_35 = e1 | all_0_35_35 = e0 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (397), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (398) all_0_35_35 = e1 % 24.45/6.56 | % 24.45/6.56 | Equations (398) can reduce 261 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (261) ~ (all_0_35_35 = e1) % 24.45/6.56 | (401) all_0_35_35 = e0 % 24.45/6.56 | % 24.45/6.56 | Equations (401) can reduce 201 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (885) ~ (all_0_33_33 = e0) % 24.45/6.56 | (886) all_0_37_37 = e0 % 24.45/6.56 | % 24.45/6.56 | Equations (886) can reduce 203 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (311) ~ (all_0_28_28 = e0) % 24.45/6.56 | (768) all_0_29_29 = e0 | all_0_30_30 = e0 | all_0_31_31 = e0 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (121), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (654) all_0_28_28 = e3 % 24.45/6.56 | % 24.45/6.56 | Equations (654) can reduce 229 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (229) ~ (all_0_28_28 = e3) % 24.45/6.56 | (2366) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (2366), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (849) all_0_28_28 = e2 % 24.45/6.56 | % 24.45/6.56 | Equations (849) can reduce 852 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (852) ~ (all_0_28_28 = e2) % 24.45/6.56 | (2646) all_0_28_28 = e1 | all_0_28_28 = e0 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (2646), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (348) all_0_28_28 = e1 % 24.45/6.56 | % 24.45/6.56 | Equations (348) can reduce 518 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (518) ~ (all_0_28_28 = e1) % 24.45/6.56 | (763) all_0_28_28 = e0 % 24.45/6.56 | % 24.45/6.56 | Equations (763) can reduce 311 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (419) ~ (all_0_31_31 = e3) % 24.45/6.56 | (967) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (55), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (328) all_0_27_27 = e3 % 24.45/6.56 | % 24.45/6.56 | Equations (328) can reduce 227 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (227) ~ (all_0_27_27 = e3) % 24.45/6.56 | (331) all_0_31_31 = e3 | all_0_35_35 = e3 | all_0_39_39 = e3 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (331), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (416) all_0_31_31 = e3 % 24.45/6.56 | % 24.45/6.56 | Equations (416) can reduce 419 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (419) ~ (all_0_31_31 = e3) % 24.45/6.56 | (420) all_0_35_35 = e3 | all_0_39_39 = e3 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (967), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (309) all_0_31_31 = e2 % 24.45/6.56 | % 24.45/6.56 | Equations (309) can reduce 817 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (817) ~ (all_0_31_31 = e2) % 24.45/6.56 | (996) all_0_31_31 = e1 | all_0_31_31 = e0 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (420), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (358) all_0_35_35 = e3 % 24.45/6.56 | % 24.45/6.56 | Equations (358) can reduce 7 to: % 24.45/6.56 | (227) ~ (all_0_27_27 = e3) % 24.45/6.56 | % 24.45/6.56 | Equations (358) can reduce 147 to: % 24.45/6.56 | (419) ~ (all_0_31_31 = e3) % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (104), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (654) all_0_28_28 = e3 % 24.45/6.56 | % 24.45/6.56 | Equations (654) can reduce 95 to: % 24.45/6.56 | (230) ~ (all_0_32_32 = e3) % 24.45/6.56 | % 24.45/6.56 | Simplifying 230 yields: % 24.45/6.56 | (231) ~ (all_0_32_32 = e3) % 24.45/6.56 | % 24.45/6.56 | Equations (654) can reduce 52 to: % 24.45/6.56 | (232) ~ (all_0_36_36 = e3) % 24.45/6.56 | % 24.45/6.56 | Simplifying 232 yields: % 24.45/6.56 | (233) ~ (all_0_36_36 = e3) % 24.45/6.56 | % 24.45/6.56 | Equations (654) can reduce 518 to: % 24.45/6.56 | (74) ~ (e3 = e1) % 24.45/6.56 | % 24.45/6.56 | From (654) and (150) follows: % 24.45/6.56 | (10902) op(e2, e3) = e3 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (80), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (363) all_0_25_25 = e3 % 24.45/6.56 | % 24.45/6.56 | Equations (363) can reduce 223 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (223) ~ (all_0_25_25 = e3) % 24.45/6.56 | (368) all_0_29_29 = e3 | all_0_33_33 = e3 | all_0_37_37 = e3 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (107), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (454) all_0_36_36 = e3 % 24.45/6.56 | % 24.45/6.56 | Equations (454) can reduce 233 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (233) ~ (all_0_36_36 = e3) % 24.45/6.56 | (477) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (368), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (287) all_0_29_29 = e3 % 24.45/6.56 | % 24.45/6.56 | Combining equations (287,303) yields a new equation: % 24.45/6.56 | (492) e3 = e1 % 24.45/6.56 | % 24.45/6.56 | Simplifying 492 yields: % 24.45/6.56 | (387) e3 = e1 % 24.45/6.56 | % 24.45/6.56 | Equations (387) can reduce 74 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (246) ~ (all_0_29_29 = e3) % 24.45/6.56 | (373) all_0_33_33 = e3 | all_0_37_37 = e3 % 24.45/6.56 | % 24.45/6.56 | Equations (303) can reduce 246 to: % 24.45/6.56 | (691) ~ (e3 = e1) % 24.45/6.56 | % 24.45/6.56 | Simplifying 691 yields: % 24.45/6.56 | (74) ~ (e3 = e1) % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (477), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (377) all_0_37_37 = e3 % 24.45/6.56 | % 24.45/6.56 | Equations (377) can reduce 31 to: % 24.45/6.56 | (223) ~ (all_0_25_25 = e3) % 24.45/6.56 | % 24.45/6.56 | Equations (377) can reduce 203 to: % 24.45/6.56 | (79) ~ (e3 = e0) % 24.45/6.56 | % 24.45/6.56 | From (377) and (92) follows: % 24.45/6.56 | (10922) op(e2, e3) = all_0_21_21 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (115), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (1082) all_0_24_24 = e0 % 24.45/6.56 | % 24.45/6.56 | Combining equations (1082,694) yields a new equation: % 24.45/6.56 | (379) e1 = e0 % 24.45/6.56 | % 24.45/6.56 | Equations (379) can reduce 153 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (220) ~ (all_0_24_24 = e0) % 24.45/6.56 | (1111) all_0_28_28 = e0 | all_0_32_32 = e0 | all_0_36_36 = e0 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (1111), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (763) all_0_28_28 = e0 % 24.45/6.56 | % 24.45/6.56 | Combining equations (654,763) yields a new equation: % 24.45/6.56 | (425) e3 = e0 % 24.45/6.56 | % 24.45/6.56 | Simplifying 425 yields: % 24.45/6.56 | (370) e3 = e0 % 24.45/6.56 | % 24.45/6.56 | Equations (370) can reduce 79 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (311) ~ (all_0_28_28 = e0) % 24.45/6.56 | (1119) all_0_32_32 = e0 | all_0_36_36 = e0 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (1119), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (391) all_0_32_32 = e0 % 24.45/6.56 | % 24.45/6.56 | Equations (391) can reduce 2 to: % 24.45/6.56 | (2274) ~ (all_0_33_33 = e0) % 24.45/6.56 | % 24.45/6.56 | Simplifying 2274 yields: % 24.45/6.56 | (885) ~ (all_0_33_33 = e0) % 24.45/6.56 | % 24.45/6.56 | Equations (391) can reduce 231 to: % 24.45/6.56 | (205) ~ (e3 = e0) % 24.45/6.56 | % 24.45/6.56 | Simplifying 205 yields: % 24.45/6.56 | (79) ~ (e3 = e0) % 24.45/6.56 | % 24.45/6.56 | Equations (391) can reduce 350 to: % 24.45/6.56 | (209) ~ (e1 = e0) % 24.45/6.56 | % 24.45/6.56 | Simplifying 209 yields: % 24.45/6.56 | (153) ~ (e1 = e0) % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (94), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (758) all_0_25_25 = e0 % 24.45/6.56 | % 24.45/6.56 | Equations (758) can reduce 130 to: % 24.45/6.56 | (322) ~ (all_0_27_27 = e0) % 24.45/6.56 | % 24.45/6.56 | Simplifying 322 yields: % 24.45/6.56 | (199) ~ (all_0_27_27 = e0) % 24.45/6.56 | % 24.45/6.56 | Equations (758) can reduce 223 to: % 24.45/6.56 | (205) ~ (e3 = e0) % 24.45/6.56 | % 24.45/6.56 | Simplifying 205 yields: % 24.45/6.56 | (79) ~ (e3 = e0) % 24.45/6.56 | % 24.45/6.56 | Equations (758) can reduce 345 to: % 24.45/6.56 | (209) ~ (e1 = e0) % 24.45/6.56 | % 24.45/6.56 | Simplifying 209 yields: % 24.45/6.56 | (153) ~ (e1 = e0) % 24.45/6.56 | % 24.45/6.56 | From (758) and (112) follows: % 24.45/6.56 | (10006) op(e2, e0) = all_0_9_9 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (38), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (930) all_0_27_27 = e0 % 24.45/6.56 | % 24.45/6.56 | Equations (930) can reduce 199 to: % 24.45/6.56 | (188) $false % 24.45/6.56 | % 24.45/6.56 |-The branch is then unsatisfiable % 24.45/6.56 |-Branch two: % 24.45/6.56 | (199) ~ (all_0_27_27 = e0) % 24.45/6.56 | (4595) all_0_31_31 = e0 | all_0_35_35 = e0 | all_0_39_39 = e0 % 24.45/6.56 | % 24.45/6.56 +-Applying beta-rule and splitting (4595), into two cases. % 24.45/6.56 |-Branch one: % 24.45/6.56 | (938) all_0_31_31 = e0 % 24.45/6.56 | % 24.45/6.56 | Equations (938) can reduce 119 to: % 24.45/6.56 | (199) ~ (all_0_27_27 = e0) % 24.45/6.56 | % 24.45/6.56 | From (938) and (177) follows: % 24.45/6.57 | (10955) op(e2, e0) = e0 % 24.45/6.57 | % 24.45/6.57 +-Applying beta-rule and splitting (13), into two cases. % 24.45/6.57 |-Branch one: % 24.45/6.57 | (539) all_0_27_27 = e2 % 24.45/6.57 | % 24.45/6.57 | Equations (539) can reduce 227 to: % 24.45/6.57 | (340) ~ (e3 = e2) % 24.45/6.57 | % 24.45/6.57 | Simplifying 340 yields: % 24.45/6.57 | (62) ~ (e3 = e2) % 24.45/6.57 | % 24.45/6.57 | Equations (539) can reduce 443 to: % 24.45/6.57 | (128) ~ (e2 = e1) % 24.45/6.57 | % 24.45/6.57 | Equations (539) can reduce 199 to: % 24.45/6.57 | (87) ~ (e2 = e0) % 24.45/6.57 | % 24.45/6.57 +-Applying beta-rule and splitting (14), into two cases. % 24.45/6.57 |-Branch one: % 24.45/6.57 | (405) all_0_32_32 = e2 % 24.45/6.57 | % 24.45/6.57 | Combining equations (391,405) yields a new equation: % 24.45/6.57 | (536) e2 = e0 % 24.45/6.57 | % 24.45/6.57 | Equations (536) can reduce 87 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (428) ~ (all_0_32_32 = e2) % 24.45/6.57 | (429) all_0_33_33 = e2 | all_0_34_34 = e2 | all_0_35_35 = e2 % 24.45/6.57 | % 24.45/6.57 +-Applying beta-rule and splitting (429), into two cases. % 24.45/6.57 |-Branch one: % 24.45/6.57 | (810) all_0_33_33 = e2 % 24.45/6.57 | % 24.45/6.57 | Combining equations (810,9799) yields a new equation: % 24.45/6.57 | (10967) all_0_14_14 = e2 % 24.45/6.57 | % 24.45/6.57 | Instantiating formula (58) with e2, e3, e3, all_0_21_21 and discharging atoms op(e2, e3) = all_0_21_21, op(e2, e3) = e3, yields: % 24.45/6.57 | (10968) all_0_21_21 = e3 % 24.45/6.57 | % 24.45/6.57 | Instantiating formula (58) with e2, e0, e0, all_0_9_9 and discharging atoms op(e2, e0) = all_0_9_9, op(e2, e0) = e0, yields: % 24.45/6.57 | (10969) all_0_9_9 = e0 % 24.45/6.57 | % 24.45/6.57 +-Applying beta-rule and splitting (48), into two cases. % 24.45/6.57 |-Branch one: % 24.45/6.57 | (273) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) | ( ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35)) % 24.45/6.57 | % 24.45/6.57 +-Applying beta-rule and splitting (273), into two cases. % 24.45/6.57 |-Branch one: % 24.45/6.57 | (274) ( ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27)) | ( ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31)) % 24.45/6.57 | % 24.45/6.57 +-Applying beta-rule and splitting (274), into two cases. % 24.45/6.57 |-Branch one: % 24.45/6.57 | (275) ~ (all_0_8_8 = all_0_24_24) & ~ (all_0_9_9 = all_0_25_25) & ~ (all_0_10_10 = all_0_26_26) & ~ (all_0_11_11 = all_0_27_27) % 24.45/6.57 | % 24.45/6.57 | Applying alpha-rule on (275) yields: % 24.45/6.57 | (276) ~ (all_0_8_8 = all_0_24_24) % 24.45/6.57 | (277) ~ (all_0_9_9 = all_0_25_25) % 24.45/6.57 | (278) ~ (all_0_10_10 = all_0_26_26) % 24.45/6.57 | (279) ~ (all_0_11_11 = all_0_27_27) % 24.45/6.57 | % 24.45/6.57 | Equations (10969,758) can reduce 277 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (281) ~ (all_0_12_12 = all_0_28_28) & ~ (all_0_13_13 = all_0_29_29) & ~ (all_0_14_14 = all_0_30_30) & ~ (all_0_15_15 = all_0_31_31) % 24.45/6.57 | % 24.45/6.57 | Applying alpha-rule on (281) yields: % 24.45/6.57 | (282) ~ (all_0_12_12 = all_0_28_28) % 24.45/6.57 | (283) ~ (all_0_13_13 = all_0_29_29) % 24.45/6.57 | (284) ~ (all_0_14_14 = all_0_30_30) % 24.45/6.57 | (285) ~ (all_0_15_15 = all_0_31_31) % 24.45/6.57 | % 24.45/6.57 | Equations (10967,565) can reduce 284 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (607) ~ (all_0_16_16 = all_0_32_32) & ~ (all_0_17_17 = all_0_33_33) & ~ (all_0_18_18 = all_0_34_34) & ~ (all_0_19_19 = all_0_35_35) % 24.45/6.57 | % 24.45/6.57 | Applying alpha-rule on (607) yields: % 24.45/6.57 | (608) ~ (all_0_16_16 = all_0_32_32) % 24.45/6.57 | (609) ~ (all_0_17_17 = all_0_33_33) % 24.45/6.57 | (610) ~ (all_0_18_18 = all_0_34_34) % 24.45/6.57 | (611) ~ (all_0_19_19 = all_0_35_35) % 24.45/6.57 | % 24.45/6.57 | Equations (272,256) can reduce 610 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (613) ~ (all_0_20_20 = all_0_36_36) & ~ (all_0_21_21 = all_0_37_37) & ~ (all_0_22_22 = all_0_38_38) & ~ (all_0_23_23 = all_0_39_39) % 24.45/6.57 | % 24.45/6.57 | Applying alpha-rule on (613) yields: % 24.45/6.57 | (614) ~ (all_0_20_20 = all_0_36_36) % 24.45/6.57 | (615) ~ (all_0_21_21 = all_0_37_37) % 24.45/6.57 | (616) ~ (all_0_22_22 = all_0_38_38) % 24.45/6.57 | (617) ~ (all_0_23_23 = all_0_39_39) % 24.45/6.57 | % 24.45/6.57 | Equations (10968,377) can reduce 615 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (813) ~ (all_0_33_33 = e2) % 24.45/6.57 | (1658) all_0_34_34 = e2 | all_0_35_35 = e2 % 24.45/6.57 | % 24.45/6.57 +-Applying beta-rule and splitting (1658), into two cases. % 24.45/6.57 |-Branch one: % 24.45/6.57 | (252) all_0_34_34 = e2 % 24.45/6.57 | % 24.45/6.57 | Combining equations (252,256) yields a new equation: % 24.45/6.57 | (484) e2 = e1 % 24.45/6.57 | % 24.45/6.57 | Simplifying 484 yields: % 24.45/6.57 | (343) e2 = e1 % 24.45/6.57 | % 24.45/6.57 | Equations (343) can reduce 128 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (247) ~ (all_0_34_34 = e2) % 24.45/6.57 | (394) all_0_35_35 = e2 % 24.45/6.57 | % 24.45/6.57 | Combining equations (394,358) yields a new equation: % 24.45/6.57 | (333) e3 = e2 % 24.45/6.57 | % 24.45/6.57 | Equations (333) can reduce 62 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (310) ~ (all_0_27_27 = e2) % 24.45/6.57 | (741) all_0_31_31 = e2 | all_0_35_35 = e2 | all_0_39_39 = e2 % 24.45/6.57 | % 24.45/6.57 +-Applying beta-rule and splitting (96), into two cases. % 24.45/6.57 |-Branch one: % 24.45/6.57 | (328) all_0_27_27 = e3 % 24.45/6.57 | % 24.45/6.57 | Equations (328) can reduce 227 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (227) ~ (all_0_27_27 = e3) % 24.45/6.57 | (922) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0 % 24.45/6.57 | % 24.45/6.57 +-Applying beta-rule and splitting (922), into two cases. % 24.45/6.57 |-Branch one: % 24.45/6.57 | (539) all_0_27_27 = e2 % 24.45/6.57 | % 24.45/6.57 | Equations (539) can reduce 310 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (310) ~ (all_0_27_27 = e2) % 24.45/6.57 | (926) all_0_27_27 = e1 | all_0_27_27 = e0 % 24.45/6.57 | % 24.45/6.57 +-Applying beta-rule and splitting (926), into two cases. % 24.45/6.57 |-Branch one: % 24.45/6.57 | (354) all_0_27_27 = e1 % 24.45/6.57 | % 24.45/6.57 | Equations (354) can reduce 443 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (443) ~ (all_0_27_27 = e1) % 24.45/6.57 | (930) all_0_27_27 = e0 % 24.45/6.57 | % 24.45/6.57 | Equations (930) can reduce 199 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (200) ~ (all_0_31_31 = e0) % 24.45/6.57 | (4760) all_0_35_35 = e0 | all_0_39_39 = e0 % 24.45/6.57 | % 24.45/6.57 +-Applying beta-rule and splitting (4760), into two cases. % 24.45/6.57 |-Branch one: % 24.45/6.57 | (401) all_0_35_35 = e0 % 24.45/6.57 | % 24.45/6.57 | Combining equations (358,401) yields a new equation: % 24.45/6.57 | (425) e3 = e0 % 24.45/6.57 | % 24.45/6.57 | Simplifying 425 yields: % 24.45/6.57 | (370) e3 = e0 % 24.45/6.57 | % 24.45/6.57 | Equations (370) can reduce 79 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (201) ~ (all_0_35_35 = e0) % 24.45/6.57 | (198) all_0_39_39 = e0 % 24.45/6.57 | % 24.45/6.57 | Combining equations (195,198) yields a new equation: % 24.45/6.57 | (510) e1 = e0 % 24.45/6.57 | % 24.45/6.57 | Simplifying 510 yields: % 24.45/6.57 | (379) e1 = e0 % 24.45/6.57 | % 24.45/6.57 | Equations (379) can reduce 153 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (726) ~ (all_0_25_25 = e0) % 24.45/6.57 | (762) all_0_29_29 = e0 | all_0_33_33 = e0 | all_0_37_37 = e0 % 24.45/6.57 | % 24.45/6.57 +-Applying beta-rule and splitting (762), into two cases. % 24.45/6.57 |-Branch one: % 24.45/6.57 | (306) all_0_29_29 = e0 % 24.45/6.57 | % 24.45/6.57 | Combining equations (303,306) yields a new equation: % 24.45/6.57 | (510) e1 = e0 % 24.45/6.57 | % 24.45/6.57 | Simplifying 510 yields: % 24.45/6.57 | (379) e1 = e0 % 24.45/6.57 | % 24.45/6.57 | Equations (379) can reduce 153 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (286) ~ (all_0_29_29 = e0) % 24.45/6.57 | (790) all_0_33_33 = e0 | all_0_37_37 = e0 % 24.45/6.57 | % 24.45/6.57 +-Applying beta-rule and splitting (790), into two cases. % 24.45/6.57 |-Branch one: % 24.45/6.57 | (882) all_0_33_33 = e0 % 24.45/6.57 | % 24.45/6.57 | Equations (882) can reduce 885 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (885) ~ (all_0_33_33 = e0) % 24.45/6.57 | (886) all_0_37_37 = e0 % 24.45/6.57 | % 24.45/6.57 | Combining equations (377,886) yields a new equation: % 24.45/6.57 | (425) e3 = e0 % 24.45/6.57 | % 24.45/6.57 | Simplifying 425 yields: % 24.45/6.57 | (370) e3 = e0 % 24.45/6.57 | % 24.45/6.57 | Equations (370) can reduce 79 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (403) ~ (all_0_32_32 = e0) % 24.45/6.57 | (1232) all_0_36_36 = e0 % 24.45/6.57 | % 24.45/6.57 | Equations (1232) can reduce 202 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (481) ~ (all_0_37_37 = e3) % 24.45/6.57 | (482) all_0_38_38 = e3 | all_0_39_39 = e3 % 24.45/6.57 | % 24.45/6.57 +-Applying beta-rule and splitting (482), into two cases. % 24.45/6.57 |-Branch one: % 24.45/6.57 | (489) all_0_38_38 = e3 % 24.45/6.57 | % 24.45/6.57 | Combining equations (583,489) yields a new equation: % 24.45/6.57 | (370) e3 = e0 % 24.45/6.57 | % 24.45/6.57 | Equations (370) can reduce 79 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (499) ~ (all_0_38_38 = e3) % 24.45/6.57 | (187) all_0_39_39 = e3 % 24.45/6.57 | % 24.45/6.57 | Combining equations (187,195) yields a new equation: % 24.45/6.57 | (492) e3 = e1 % 24.45/6.57 | % 24.45/6.57 | Simplifying 492 yields: % 24.45/6.57 | (387) e3 = e1 % 24.45/6.57 | % 24.45/6.57 | Equations (387) can reduce 74 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (229) ~ (all_0_28_28 = e3) % 24.45/6.57 | (657) all_0_29_29 = e3 | all_0_30_30 = e3 | all_0_31_31 = e3 % 24.45/6.57 | % 24.45/6.57 +-Applying beta-rule and splitting (13), into two cases. % 24.45/6.57 |-Branch one: % 24.45/6.57 | (539) all_0_27_27 = e2 % 24.45/6.57 | % 24.45/6.57 | Equations (539) can reduce 119 to: % 24.45/6.57 | (1045) ~ (all_0_31_31 = e2) % 24.45/6.57 | % 24.45/6.57 | Simplifying 1045 yields: % 24.45/6.57 | (817) ~ (all_0_31_31 = e2) % 24.45/6.57 | % 24.45/6.57 +-Applying beta-rule and splitting (66), into two cases. % 24.45/6.57 |-Branch one: % 24.45/6.57 | (1082) all_0_24_24 = e0 % 24.45/6.57 | % 24.45/6.57 | Combining equations (694,1082) yields a new equation: % 24.45/6.57 | (510) e1 = e0 % 24.45/6.57 | % 24.45/6.57 | Simplifying 510 yields: % 24.45/6.57 | (379) e1 = e0 % 24.45/6.57 | % 24.45/6.57 | Equations (379) can reduce 153 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (220) ~ (all_0_24_24 = e0) % 24.45/6.57 | (1087) all_0_25_25 = e0 | all_0_26_26 = e0 | all_0_27_27 = e0 % 24.45/6.57 | % 24.45/6.57 +-Applying beta-rule and splitting (121), into two cases. % 24.45/6.57 |-Branch one: % 24.45/6.57 | (654) all_0_28_28 = e3 % 24.45/6.57 | % 24.45/6.57 | Equations (654) can reduce 229 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (229) ~ (all_0_28_28 = e3) % 24.45/6.57 | (2366) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0 % 24.45/6.57 | % 24.45/6.57 +-Applying beta-rule and splitting (996), into two cases. % 24.45/6.57 |-Branch one: % 24.45/6.57 | (483) all_0_31_31 = e1 % 24.45/6.57 | % 24.45/6.57 | Equations (483) can reduce 487 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (487) ~ (all_0_31_31 = e1) % 24.45/6.57 | (938) all_0_31_31 = e0 % 24.45/6.57 | % 24.45/6.57 | Equations (938) can reduce 419 to: % 24.45/6.57 | (205) ~ (e3 = e0) % 24.45/6.57 | % 24.45/6.57 | Simplifying 205 yields: % 24.45/6.57 | (79) ~ (e3 = e0) % 24.45/6.57 | % 24.45/6.57 | Equations (938) can reduce 817 to: % 24.45/6.57 | (207) ~ (e2 = e0) % 24.45/6.57 | % 24.45/6.57 | Simplifying 207 yields: % 24.45/6.57 | (87) ~ (e2 = e0) % 24.45/6.57 | % 24.45/6.57 +-Applying beta-rule and splitting (2366), into two cases. % 24.45/6.57 |-Branch one: % 24.45/6.57 | (849) all_0_28_28 = e2 % 24.45/6.57 | % 24.45/6.57 | Equations (849) can reduce 852 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (852) ~ (all_0_28_28 = e2) % 24.45/6.57 | (2646) all_0_28_28 = e1 | all_0_28_28 = e0 % 24.45/6.57 | % 24.45/6.57 +-Applying beta-rule and splitting (1087), into two cases. % 24.45/6.57 |-Branch one: % 24.45/6.57 | (758) all_0_25_25 = e0 % 24.45/6.57 | % 24.45/6.57 | Equations (758) can reduce 114 to: % 24.45/6.57 | (2274) ~ (all_0_33_33 = e0) % 24.45/6.57 | % 24.45/6.57 | Simplifying 2274 yields: % 24.45/6.57 | (885) ~ (all_0_33_33 = e0) % 24.45/6.57 | % 24.45/6.57 | Equations (758) can reduce 223 to: % 24.45/6.57 | (205) ~ (e3 = e0) % 24.45/6.57 | % 24.45/6.57 | Simplifying 205 yields: % 24.45/6.57 | (79) ~ (e3 = e0) % 24.45/6.57 | % 24.45/6.57 | Equations (758) can reduce 345 to: % 24.45/6.57 | (209) ~ (e1 = e0) % 24.45/6.57 | % 24.45/6.57 | Simplifying 209 yields: % 24.45/6.57 | (153) ~ (e1 = e0) % 24.45/6.57 | % 24.45/6.57 +-Applying beta-rule and splitting (141), into two cases. % 24.45/6.57 |-Branch one: % 24.45/6.57 | (391) all_0_32_32 = e0 % 24.45/6.57 | % 24.45/6.57 | Equations (391) can reduce 95 to: % 24.45/6.57 | (311) ~ (all_0_28_28 = e0) % 24.45/6.57 | % 24.45/6.57 +-Applying beta-rule and splitting (2646), into two cases. % 24.45/6.57 |-Branch one: % 24.45/6.57 | (348) all_0_28_28 = e1 % 24.45/6.57 | % 24.45/6.57 | Equations (348) can reduce 518 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (518) ~ (all_0_28_28 = e1) % 24.45/6.57 | (763) all_0_28_28 = e0 % 24.45/6.57 | % 24.45/6.57 | Equations (763) can reduce 311 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (403) ~ (all_0_32_32 = e0) % 24.45/6.57 | (404) all_0_33_33 = e0 | all_0_34_34 = e0 | all_0_35_35 = e0 % 24.45/6.57 | % 24.45/6.57 +-Applying beta-rule and splitting (404), into two cases. % 24.45/6.57 |-Branch one: % 24.45/6.57 | (882) all_0_33_33 = e0 % 24.45/6.57 | % 24.45/6.57 | Equations (882) can reduce 885 to: % 24.45/6.57 | (188) $false % 24.45/6.57 | % 24.45/6.57 |-The branch is then unsatisfiable % 24.45/6.57 |-Branch two: % 24.45/6.57 | (885) ~ (all_0_33_33 = e0) % 24.45/6.58 | (1032) all_0_34_34 = e0 | all_0_35_35 = e0 % 24.45/6.58 | % 24.45/6.58 +-Applying beta-rule and splitting (1032), into two cases. % 24.45/6.58 |-Branch one: % 24.45/6.58 | (620) all_0_34_34 = e0 % 24.45/6.58 | % 24.45/6.58 | Combining equations (620,256) yields a new equation: % 24.45/6.58 | (379) e1 = e0 % 24.45/6.58 | % 24.45/6.58 | Equations (379) can reduce 153 to: % 24.45/6.58 | (188) $false % 24.45/6.58 | % 24.45/6.58 |-The branch is then unsatisfiable % 24.45/6.58 |-Branch two: % 24.45/6.58 | (245) ~ (all_0_34_34 = e0) % 24.45/6.58 | (401) all_0_35_35 = e0 % 24.45/6.58 | % 24.45/6.58 | Combining equations (358,401) yields a new equation: % 24.45/6.58 | (425) e3 = e0 % 24.45/6.58 | % 24.45/6.58 | Simplifying 425 yields: % 24.45/6.58 | (370) e3 = e0 % 24.45/6.58 | % 24.45/6.58 | Equations (370) can reduce 79 to: % 24.45/6.58 | (188) $false % 24.45/6.58 | % 24.45/6.58 |-The branch is then unsatisfiable % 24.45/6.58 |-Branch two: % 24.45/6.58 | (726) ~ (all_0_25_25 = e0) % 24.45/6.58 | (1317) all_0_26_26 = e0 | all_0_27_27 = e0 % 24.45/6.58 | % 24.45/6.58 +-Applying beta-rule and splitting (1317), into two cases. % 24.45/6.58 |-Branch one: % 24.45/6.58 | (321) all_0_26_26 = e0 % 24.45/6.58 | % 24.45/6.58 | Combining equations (543,321) yields a new equation: % 24.45/6.58 | (425) e3 = e0 % 24.45/6.58 | % 24.45/6.58 | Simplifying 425 yields: % 24.45/6.58 | (370) e3 = e0 % 24.45/6.58 | % 24.45/6.58 | Equations (370) can reduce 79 to: % 24.45/6.58 | (188) $false % 24.45/6.58 | % 24.45/6.58 |-The branch is then unsatisfiable % 24.45/6.58 |-Branch two: % 24.45/6.58 | (541) ~ (all_0_26_26 = e0) % 24.45/6.58 | (930) all_0_27_27 = e0 % 24.45/6.58 | % 24.45/6.58 | Combining equations (539,930) yields a new equation: % 24.45/6.58 | (535) e2 = e0 % 24.45/6.58 | % 24.45/6.58 | Simplifying 535 yields: % 24.45/6.58 | (536) e2 = e0 % 24.45/6.58 | % 24.45/6.58 | Equations (536) can reduce 87 to: % 24.45/6.58 | (188) $false % 24.45/6.58 | % 24.45/6.58 |-The branch is then unsatisfiable % 24.45/6.58 |-Branch two: % 24.45/6.58 | (310) ~ (all_0_27_27 = e2) % 24.45/6.58 | (741) all_0_31_31 = e2 | all_0_35_35 = e2 | all_0_39_39 = e2 % 24.45/6.58 | % 24.45/6.58 +-Applying beta-rule and splitting (741), into two cases. % 24.45/6.58 |-Branch one: % 24.45/6.58 | (309) all_0_31_31 = e2 % 24.45/6.58 | % 24.45/6.58 | Equations (309) can reduce 817 to: % 24.45/6.58 | (188) $false % 24.45/6.58 | % 24.45/6.58 |-The branch is then unsatisfiable % 24.45/6.58 |-Branch two: % 24.45/6.58 | (817) ~ (all_0_31_31 = e2) % 24.45/6.58 | (818) all_0_35_35 = e2 | all_0_39_39 = e2 % 24.45/6.58 | % 24.45/6.58 +-Applying beta-rule and splitting (158), into two cases. % 24.45/6.58 |-Branch one: % 24.45/6.58 | (332) all_0_24_24 = e2 % 24.45/6.58 | % 24.45/6.58 | Combining equations (694,332) yields a new equation: % 24.45/6.58 | (343) e2 = e1 % 24.45/6.58 | % 24.45/6.58 | Equations (343) can reduce 128 to: % 24.45/6.58 | (188) $false % 24.45/6.58 | % 24.45/6.58 |-The branch is then unsatisfiable % 24.45/6.58 |-Branch two: % 24.45/6.58 | (219) ~ (all_0_24_24 = e2) % 24.45/6.58 | (336) all_0_25_25 = e2 | all_0_26_26 = e2 | all_0_27_27 = e2 % 24.45/6.58 | % 24.45/6.58 | Equations (694) can reduce 219 to: % 24.45/6.58 | (264) ~ (e2 = e1) % 24.45/6.58 | % 24.45/6.58 | Simplifying 264 yields: % 24.45/6.58 | (128) ~ (e2 = e1) % 24.45/6.58 | % 24.45/6.58 +-Applying beta-rule and splitting (818), into two cases. % 24.45/6.58 |-Branch one: % 24.45/6.58 | (394) all_0_35_35 = e2 % 24.45/6.58 | % 24.45/6.58 | Combining equations (358,394) yields a new equation: % 24.45/6.58 | (364) e3 = e2 % 24.45/6.58 | % 24.45/6.58 | Simplifying 364 yields: % 24.45/6.58 | (333) e3 = e2 % 24.45/6.58 | % 24.45/6.58 | Equations (333) can reduce 62 to: % 24.45/6.58 | (188) $false % 24.45/6.58 | % 24.45/6.58 |-The branch is then unsatisfiable % 24.45/6.58 |-Branch two: % 24.45/6.58 | (319) ~ (all_0_35_35 = e2) % 24.45/6.58 | (191) all_0_39_39 = e2 % 24.45/6.58 | % 24.45/6.58 | Combining equations (191,195) yields a new equation: % 24.45/6.58 | (484) e2 = e1 % 24.45/6.58 | % 24.45/6.58 | Simplifying 484 yields: % 24.45/6.58 | (343) e2 = e1 % 24.45/6.58 | % 24.45/6.58 | Equations (343) can reduce 128 to: % 24.45/6.58 | (188) $false % 24.45/6.58 | % 24.45/6.58 |-The branch is then unsatisfiable % 24.45/6.58 |-Branch two: % 24.45/6.58 | (389) ~ (all_0_35_35 = e3) % 24.45/6.58 | (187) all_0_39_39 = e3 % 24.45/6.58 | % 24.45/6.58 | Combining equations (195,187) yields a new equation: % 24.45/6.58 | (387) e3 = e1 % 24.45/6.58 | % 24.45/6.58 | Equations (387) can reduce 74 to: % 24.45/6.58 | (188) $false % 24.45/6.58 | % 24.45/6.58 |-The branch is then unsatisfiable % 24.45/6.58 |-Branch two: % 24.45/6.58 | (218) ~ (all_0_24_24 = e1) % 24.45/6.58 | (946) all_0_25_25 = e1 | all_0_26_26 = e1 | all_0_27_27 = e1 % 24.45/6.58 | % 24.45/6.58 +-Applying beta-rule and splitting (946), into two cases. % 24.45/6.58 |-Branch one: % 24.45/6.58 | (342) all_0_25_25 = e1 % 24.45/6.58 | % 24.45/6.58 | Equations (342) can reduce 345 to: % 24.45/6.58 | (188) $false % 24.45/6.58 | % 24.45/6.58 |-The branch is then unsatisfiable % 24.45/6.58 |-Branch two: % 24.45/6.58 | (345) ~ (all_0_25_25 = e1) % 24.45/6.58 | (950) all_0_26_26 = e1 | all_0_27_27 = e1 % 24.45/6.58 | % 24.45/6.58 +-Applying beta-rule and splitting (950), into two cases. % 24.45/6.58 |-Branch one: % 24.45/6.58 | (587) all_0_26_26 = e1 % 24.45/6.58 | % 24.45/6.58 | Equations (587) can reduce 257 to: % 24.45/6.58 | (188) $false % 24.45/6.58 | % 24.45/6.58 |-The branch is then unsatisfiable % 24.45/6.58 |-Branch two: % 24.45/6.58 | (257) ~ (all_0_26_26 = e1) % 24.45/6.58 | (354) all_0_27_27 = e1 % 24.45/6.58 | % 24.45/6.58 | Equations (354) can reduce 443 to: % 24.45/6.58 | (188) $false % 24.45/6.58 | % 24.45/6.58 |-The branch is then unsatisfiable % 24.45/6.58 |-Branch two: % 24.45/6.58 | (619) ~ (all_0_34_34 = e1) % 24.45/6.58 | (620) all_0_34_34 = e0 % 24.45/6.58 | % 24.45/6.58 | Equations (620) can reduce 245 to: % 24.45/6.58 | (188) $false % 24.45/6.58 | % 24.45/6.58 |-The branch is then unsatisfiable % 24.45/6.58 |-Branch two: % 24.45/6.58 | (248) all_0_34_34 = e3 % 24.45/6.58 | (438) all_0_32_32 = e1 % 24.45/6.58 | % 24.45/6.58 | Combining equations (248,9800) yields a new equation: % 24.45/6.58 | (4430) all_0_5_5 = e3 % 24.45/6.58 | % 24.45/6.58 | Equations (438) can reduce 95 to: % 24.45/6.58 | (518) ~ (all_0_28_28 = e1) % 24.45/6.58 | % 24.45/6.58 | From (248) and (9801) follows: % 24.45/6.58 | (4431) op(e2, e3) = all_0_4_4 % 24.45/6.58 | % 24.45/6.58 +-Applying beta-rule and splitting (42), into two cases. % 24.45/6.58 |-Branch one: % 24.45/6.58 | (4131) ~ (all_0_4_4 = e0) % 24.45/6.58 | % 24.45/6.58 | Instantiating formula (58) with e2, e3, all_0_4_4, all_0_28_28 and discharging atoms op(e2, e3) = all_0_4_4, op(e2, e3) = all_0_28_28, yields: % 24.45/6.58 | (11172) all_0_4_4 = all_0_28_28 % 24.45/6.58 | % 24.45/6.58 | Equations (11172) can reduce 4131 to: % 24.45/6.58 | (311) ~ (all_0_28_28 = e0) % 24.45/6.58 | % 24.45/6.58 +-Applying beta-rule and splitting (121), into two cases. % 24.45/6.58 |-Branch one: % 24.45/6.58 | (654) all_0_28_28 = e3 % 24.45/6.58 | % 24.45/6.58 | Equations (654) can reduce 9 to: % 24.45/6.58 | (1876) ~ (all_0_24_24 = e3) % 24.45/6.58 | % 24.45/6.58 | Equations (654) can reduce 518 to: % 24.45/6.58 | (74) ~ (e3 = e1) % 24.45/6.58 | % 24.45/6.58 | Equations (654) can reduce 311 to: % 24.45/6.58 | (79) ~ (e3 = e0) % 24.45/6.58 | % 24.45/6.58 +-Applying beta-rule and splitting (27), into two cases. % 24.45/6.58 |-Branch one: % 24.45/6.58 | (763) all_0_28_28 = e0 % 24.45/6.58 | % 24.45/6.58 | Combining equations (654,763) yields a new equation: % 24.45/6.58 | (425) e3 = e0 % 24.45/6.58 | % 24.45/6.58 | Simplifying 425 yields: % 24.45/6.58 | (370) e3 = e0 % 24.45/6.58 | % 24.45/6.58 | Equations (370) can reduce 79 to: % 24.45/6.58 | (188) $false % 24.45/6.58 | % 24.45/6.58 |-The branch is then unsatisfiable % 24.45/6.58 |-Branch two: % 24.45/6.58 | (311) ~ (all_0_28_28 = e0) % 24.45/6.58 | (768) all_0_29_29 = e0 | all_0_30_30 = e0 | all_0_31_31 = e0 % 24.45/6.58 | % 24.45/6.58 +-Applying beta-rule and splitting (67), into two cases. % 24.45/6.58 |-Branch one: % 24.45/6.58 | (221) all_0_24_24 = e3 % 24.45/6.58 | % 24.45/6.58 | Equations (221) can reduce 1876 to: % 24.45/6.58 | (188) $false % 24.45/6.58 | % 24.45/6.58 |-The branch is then unsatisfiable % 24.45/6.58 |-Branch two: % 24.45/6.58 | (1876) ~ (all_0_24_24 = e3) % 24.45/6.58 | (5657) all_0_29_29 = e2 | all_0_34_34 = e1 | all_0_39_39 = e0 % 24.45/6.58 | % 24.45/6.58 +-Applying beta-rule and splitting (5657), into two cases. % 24.45/6.58 |-Branch one: % 24.45/6.58 | (291) all_0_29_29 = e2 % 24.45/6.58 | % 24.45/6.58 | Combining equations (303,291) yields a new equation: % 24.45/6.58 | (343) e2 = e1 % 24.45/6.58 | % 24.45/6.58 | Equations (343) can reduce 128 to: % 24.45/6.58 | (188) $false % 24.45/6.58 | % 24.45/6.58 |-The branch is then unsatisfiable % 24.45/6.58 |-Branch two: % 24.45/6.58 | (301) ~ (all_0_29_29 = e2) % 24.45/6.58 | (5663) all_0_34_34 = e1 | all_0_39_39 = e0 % 24.45/6.58 | % 24.45/6.58 +-Applying beta-rule and splitting (768), into two cases. % 24.45/6.58 |-Branch one: % 24.45/6.58 | (306) all_0_29_29 = e0 % 24.45/6.58 | % 24.45/6.58 | Combining equations (303,306) yields a new equation: % 24.45/6.58 | (510) e1 = e0 % 24.45/6.58 | % 24.45/6.58 | Simplifying 510 yields: % 24.45/6.58 | (379) e1 = e0 % 24.45/6.58 | % 24.45/6.58 | Equations (379) can reduce 153 to: % 24.45/6.58 | (188) $false % 24.45/6.58 | % 24.45/6.58 |-The branch is then unsatisfiable % 24.45/6.58 |-Branch two: % 24.45/6.58 | (286) ~ (all_0_29_29 = e0) % 24.45/6.58 | (798) all_0_30_30 = e0 | all_0_31_31 = e0 % 24.45/6.58 | % 24.45/6.58 +-Applying beta-rule and splitting (798), into two cases. % 24.45/6.58 |-Branch one: % 24.45/6.58 | (557) all_0_30_30 = e0 % 24.45/6.58 | % 24.45/6.58 | Combining equations (557,565) yields a new equation: % 24.45/6.58 | (536) e2 = e0 % 24.45/6.58 | % 24.45/6.58 | Equations (536) can reduce 87 to: % 24.45/6.58 | (188) $false % 24.45/6.58 | % 24.45/6.58 |-The branch is then unsatisfiable % 24.45/6.58 |-Branch two: % 24.45/6.58 | (313) ~ (all_0_30_30 = e0) % 24.45/6.58 | (938) all_0_31_31 = e0 % 24.45/6.58 | % 24.45/6.58 | Equations (938) can reduce 8 to: % 24.45/6.58 | (11204) ~ (all_0_39_39 = e0) % 24.45/6.58 | % 24.45/6.58 | Simplifying 11204 yields: % 24.45/6.58 | (11205) ~ (all_0_39_39 = e0) % 24.45/6.58 | % 24.45/6.58 +-Applying beta-rule and splitting (5663), into two cases. % 24.45/6.58 |-Branch one: % 24.45/6.58 | (256) all_0_34_34 = e1 % 24.45/6.58 | % 24.45/6.58 | Combining equations (256,248) yields a new equation: % 24.45/6.58 | (387) e3 = e1 % 24.45/6.58 | % 24.45/6.58 | Equations (387) can reduce 74 to: % 24.45/6.58 | (188) $false % 24.45/6.58 | % 24.45/6.58 |-The branch is then unsatisfiable % 24.45/6.58 |-Branch two: % 24.45/6.58 | (619) ~ (all_0_34_34 = e1) % 24.45/6.58 | (198) all_0_39_39 = e0 % 24.45/6.58 | % 24.45/6.58 | Equations (198) can reduce 11205 to: % 24.45/6.58 | (188) $false % 24.45/6.58 | % 24.45/6.58 |-The branch is then unsatisfiable % 24.45/6.58 |-Branch two: % 24.45/6.58 | (229) ~ (all_0_28_28 = e3) % 24.45/6.58 | (2366) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0 % 24.45/6.58 | % 24.45/6.58 +-Applying beta-rule and splitting (2366), into two cases. % 24.45/6.58 |-Branch one: % 24.45/6.58 | (849) all_0_28_28 = e2 % 24.45/6.58 | % 24.45/6.58 | Equations (849) can reduce 852 to: % 24.45/6.58 | (188) $false % 24.45/6.58 | % 24.45/6.58 |-The branch is then unsatisfiable % 24.45/6.58 |-Branch two: % 24.45/6.58 | (852) ~ (all_0_28_28 = e2) % 24.45/6.58 | (2646) all_0_28_28 = e1 | all_0_28_28 = e0 % 24.45/6.58 | % 24.45/6.58 +-Applying beta-rule and splitting (2646), into two cases. % 24.45/6.58 |-Branch one: % 24.45/6.58 | (348) all_0_28_28 = e1 % 24.45/6.58 | % 24.45/6.58 | Equations (348) can reduce 518 to: % 24.45/6.58 | (188) $false % 24.45/6.58 | % 24.45/6.58 |-The branch is then unsatisfiable % 24.45/6.58 |-Branch two: % 24.45/6.58 | (518) ~ (all_0_28_28 = e1) % 24.45/6.58 | (763) all_0_28_28 = e0 % 24.45/6.58 | % 24.45/6.58 | Equations (763) can reduce 311 to: % 24.45/6.58 | (188) $false % 24.45/6.58 | % 24.45/6.58 |-The branch is then unsatisfiable % 24.45/6.58 |-Branch two: % 24.45/6.58 | (4132) all_0_4_4 = e0 % 24.45/6.58 | (11224) ~ (all_0_5_5 = e3) | ~ (all_0_29_29 = e1) % 24.45/6.58 | % 24.45/6.58 +-Applying beta-rule and splitting (11224), into two cases. % 24.45/6.58 |-Branch one: % 24.45/6.58 | (4437) ~ (all_0_5_5 = e3) % 24.45/6.58 | % 24.45/6.58 | Equations (4430) can reduce 4437 to: % 24.45/6.58 | (188) $false % 24.45/6.58 | % 24.45/6.58 |-The branch is then unsatisfiable % 24.45/6.58 |-Branch two: % 24.45/6.59 | (4430) all_0_5_5 = e3 % 24.45/6.59 | (183) ~ (all_0_29_29 = e1) % 24.45/6.59 | % 24.45/6.59 | Equations (303) can reduce 183 to: % 24.45/6.59 | (188) $false % 24.45/6.59 | % 24.45/6.59 |-The branch is then unsatisfiable % 24.45/6.59 % SZS output end Proof for theBenchmark % 24.45/6.59 % 24.45/6.59 5952ms %------------------------------------------------------------------------------