TSTP Solution File: ALG068+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG068+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 15:34:12 EDT 2022
% Result : Theorem 7.07s 2.12s
% Output : Proof 21.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG068+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 21:34:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.54/0.56 ____ _
% 0.54/0.56 ___ / __ \_____(_)___ ________ __________
% 0.54/0.56 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.54/0.56 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.54/0.56 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.54/0.56
% 0.54/0.56 A Theorem Prover for First-Order Logic
% 0.54/0.56 (ePrincess v.1.0)
% 0.54/0.56
% 0.54/0.56 (c) Philipp Rümmer, 2009-2015
% 0.54/0.56 (c) Peter Backeman, 2014-2015
% 0.54/0.56 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.54/0.56 Free software under GNU Lesser General Public License (LGPL).
% 0.54/0.56 Bug reports to peter@backeman.se
% 0.54/0.56
% 0.54/0.56 For more information, visit http://user.uu.se/~petba168/breu/
% 0.54/0.56
% 0.54/0.56 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.59/0.61 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.59/1.11 Prover 0: Preprocessing ...
% 4.42/1.50 Prover 0: Constructing countermodel ...
% 7.07/2.11 Prover 0: proved (1506ms)
% 7.07/2.12
% 7.07/2.12 No countermodel exists, formula is valid
% 7.07/2.12 % SZS status Theorem for theBenchmark
% 7.07/2.12
% 7.07/2.12 Generating proof ... found it (size 8722)
% 17.74/4.71
% 17.74/4.71 % SZS output start Proof for theBenchmark
% 17.74/4.71 Assumed formulas after preprocessing and simplification:
% 17.74/4.71 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : ? [v48] : ? [v49] : ? [v50] : ? [v51] : ? [v52] : ? [v53] : ? [v54] : ? [v55] : ? [v56] : ? [v57] : ? [v58] : ( ~ (v20 = v19) & ~ (v20 = v18) & ~ (v20 = v17) & ~ (v20 = v16) & ~ (v20 = v7) & ~ (v20 = v4) & ~ (v20 = e3) & ~ (v20 = e2) & ~ (v20 = e1) & ~ (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v15) & ~ (v19 = v11) & ~ (v19 = v6) & ~ (v19 = v3) & ~ (v19 = e1) & ~ (v18 = v17) & ~ (v18 = v13) & ~ (v18 = v9) & ~ (v18 = v1) & ~ (v18 = e1) & ~ (v18 = e0) & ~ (v17 = v12) & ~ (v17 = v8) & ~ (v17 = v0) & ~ (v17 = e1) & ~ (v16 = v15) & ~ (v16 = v14) & ~ (v16 = v13) & ~ (v16 = v12) & ~ (v16 = v7) & ~ (v16 = v4) & ~ (v16 = e3) & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v6) & ~ (v15 = v3) & ~ (v15 = e4) & ~ (v14 = v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v5) & ~ (v14 = v2) & ~ (v14 = e1) & ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v1) & ~ (v13 = e0) & ~ (v12 = v8) & ~ (v12 = v0) & ~ (v12 = e1) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v8) & ~ (v11 = v6) & ~ (v11 = v3) & ~ (v11 = e3) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v5) & ~ (v10 = v2) & ~ (v10 = e4) & ~ (v10 = e3) & ~ (v10 = e1) & ~ (v9 = v8) & ~ (v9 = v1) & ~ (v9 = e3) & ~ (v9 = e0) & ~ (v8 = v0) & ~ (v8 = e3) & ~ (v8 = e1) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = e3) & ~ (v7 = e1) & ~ (v7 = e0) & ~ (v6 = v5) & ~ (v6 = v3) & ~ (v6 = e1) & ~ (v6 = e0) & ~ (v5 = v2) & ~ (v5 = e1) & ~ (v5 = e0) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) & ~ (v4 = e3) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e1) & ~ (v1 = v0) & ~ (v1 = e0) & ~ (v0 = e1) & ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(v20, e4) = v58 & op(v19, e4) = v57 & op(v19, e3) = v56 & op(v18, e4) = v55 & op(v18, e1) = v54 & op(v17, e4) = v53 & op(v17, e0) = v52 & op(v16, e4) = v50 & op(v16, e3) = v51 & op(v15, e3) = v49 & op(v14, e3) = v48 & op(v14, e2) = v47 & op(v13, e3) = v46 & op(v13, e1) = v45 & op(v12, e3) = v44 & op(v12, e0) = v43 & op(v11, e3) = v41 & op(v11, e2) = v42 & op(v10, e2) = v40 & op(v9, e2) = v39 & op(v9, e1) = v38 & op(v8, e2) = v37 & op(v8, e0) = v36 & op(v7, e4) = v34 & op(v7, e1) = v35 & op(v6, e3) = v32 & op(v6, e1) = v33 & op(v5, e2) = v30 & op(v5, e1) = v31 & op(v4, e4) = v28 & op(v4, e0) = v29 & op(v3, e3) = v26 & op(v3, e0) = v27 & op(v2, e2) = v24 & op(v2, e0) = v25 & op(v1, e1) = v22 & op(v1, e0) = v23 & op(v0, e0) = v21 & op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e4, e4) = v20 & op(e4, e3) = v19 & op(e4, e2) = e1 & op(e4, e1) = v18 & op(e4, e0) = v17 & op(e3, unit) = e3 & op(e3, e4) = v16 & op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, unit) = e2 & op(e2, e4) = e3 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, unit) = e1 & op(e1, e4) = v7 & op(e1, e3) = v6 & op(e1, e2) = v5 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, unit) = e0 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & ! [v59] : ! [v60] : ! [v61] : ! [v62] : (v60 = v59 | ~ (op(v62, v61) = v60) | ~ (op(v62, v61) = v59)) & ( ~ (v20 = e0) | v17 = e4) & ( ~ (v15 = e2) | v14 = e3) & ( ~ (v15 = e1) | v13 = e3) & ( ~ (v15 = e0) | v12 = e3) & ( ~ (v10 = e0) | v8 = e2) & ( ~ (v0 = e4) | v4 = e0) & ( ~ (v0 = e3) | v3 = e0) & ( ~ (v0 = e2) | v2 = e0) & (v20 = e4 | v20 = e0) & (v20 = e4 | v19 = e4 | v18 = e4 | v17 = e4) & (v20 = e4 | v16 = e4 | v7 = e4 | v4 = e4) & (v20 = e0 | v19 = e0 | v17 = e0) & (v20 = e0 | v16 = e0 | v4 = e0) & (v19 = e4 | v19 = e3 | v19 = e2 | v19 = e0) & (v19 = e4 | v11 = e4 | v6 = e4 | v3 = e4) & (v19 = e3 | v18 = e3 | v17 = e3) & (v19 = e3 | v15 = e3 | v6 = e3 | v3 = e3) & (v19 = e2 | v18 = e2 | v17 = e2) & (v19 = e2 | v15 = e2 | v11 = e2 | v6 = e2 | v3 = e2) & (v19 = e0 | v15 = e0 | v11 = e0 | v3 = e0) & (v18 = e4 | v18 = e3 | v18 = e2) & (v18 = e4 | v13 = e4 | v9 = e4 | v1 = e4) & (v18 = e3 | v13 = e3 | v1 = e3) & (v18 = e2 | v13 = e2 | v9 = e2 | v1 = e2) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e0) & (v17 = e4 | v12 = e4 | v8 = e4 | v0 = e4) & (v17 = e3 | v12 = e3 | v0 = e3) & (v17 = e2 | v12 = e2 | v8 = e2 | v0 = e2) & (v17 = e0 | v12 = e0 | v8 = e0 | v0 = e0) & (v16 = e4 | v16 = e2 | v16 = e1 | v16 = e0) & (v16 = e4 | v14 = e4 | v13 = e4 | v12 = e4) & (v16 = e2 | v15 = e2 | v14 = e2 | v13 = e2 | v12 = e2) & (v16 = e2 | v7 = e2 | v4 = e2) & (v16 = e1 | v15 = e1 | v13 = e1) & (v16 = e1 | v4 = e1) & (v16 = e0 | v15 = e0 | v14 = e0 | v12 = e0) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v15 = e3 | v14 = e3 | v13 = e3 | v12 = e3) & (v15 = e1 | v11 = e1 | v3 = e1) & (v14 = e4 | v14 = e3 | v14 = e2 | v14 = e0) & (v14 = e4 | v5 = e4 | v2 = e4) & (v14 = e3 | v5 = e3 | v2 = e3) & (v14 = e2 | v10 = e2 | v5 = e2 | v2 = e2) & (v14 = e0 | v10 = e0 | v2 = e0) & (v13 = e4 | v13 = e3 | v13 = e2 | v13 = e1) & (v13 = e1 | v9 = e1 | v1 = e1) & (v12 = e4 | v12 = e3 | v12 = e2 | v12 = e0) & (v11 = e4 | v11 = e2 | v11 = e1 | v11 = e0) & (v11 = e4 | v9 = e4 | v8 = e4) & (v11 = e2 | v10 = e2 | v9 = e2 | v8 = e2) & (v11 = e1 | v9 = e1) & (v11 = e0 | v10 = e0 | v8 = e0) & (v10 = e2 | v10 = e0) & (v9 = e4 | v9 = e2 | v9 = e1) & (v8 = e4 | v8 = e2 | v8 = e0) & (v7 = e4 | v7 = e2) & (v7 = e4 | v6 = e4 | v5 = e4) & (v7 = e2 | v6 = e2 | v5 = e2) & (v6 = e4 | v6 = e3 | v6 = e2) & (v6 = e3 | v5 = e3) & (v5 = e4 | v5 = e3 | v5 = e2) & (v4 = e4 | v4 = e2 | v4 = e1 | v4 = e0) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 = e4 | v0 = e4) & (v4 = e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v1 = e1) & (v4 = e0 | v3 = e0 | v2 = e0 | v0 = e0) & (v3 = e4 | v3 = e3 | v3 = e2 | v3 = e1 | v3 = e0) & (v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e0) & (v1 = e4 | v1 = e3 | v1 = e2 | v1 = e1) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0) & ((v56 = e4 & ~ (v57 = e3) & ~ (v19 = v16)) | (v54 = e4 & ~ (v55 = e1) & ~ (v18 = v7)) | (v52 = e4 & ~ (v53 = e0) & ~ (v17 = v4)) | (v50 = e3 & ~ (v51 = e4) & ~ (v19 = v16)) | (v47 = e3 & ~ (v48 = e2) & ~ (v14 = v11)) | (v45 = e3 & ~ (v46 = e1) & ~ (v13 = v6)) | (v43 = e3 & ~ (v44 = e0) & ~ (v12 = v3)) | (v41 = e2 & ~ (v42 = e3) & ~ (v14 = v11)) | (v38 = e2 & ~ (v39 = e1) & ~ (v9 = v5)) | (v36 = e2 & ~ (v37 = e0) & ~ (v8 = v2)) | (v34 = e1 & ~ (v35 = e4) & ~ (v18 = v7)) | (v32 = e1 & ~ (v33 = e3) & ~ (v13 = v6)) | (v30 = e1 & ~ (v31 = e2) & ~ (v9 = v5)) | (v28 = e0 & ~ (v29 = e4) & ~ (v17 = v4)) | (v26 = e0 & ~ (v27 = e3) & ~ (v12 = v3)) | (v24 = e0 & ~ (v25 = e2) & ~ (v8 = v2)) | (v22 = e0 & ~ (v23 = e1) & ~ (v1 = e1)) | (v16 = e2 & ~ (v14 = e4)) | (v5 = e4 & ~ (v7 = e2))))
% 18.05/4.76 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20, all_0_21_21, all_0_22_22, all_0_23_23, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27, all_0_28_28, all_0_29_29, all_0_30_30, all_0_31_31, all_0_32_32, all_0_33_33, all_0_34_34, all_0_35_35, all_0_36_36, all_0_37_37, all_0_38_38, all_0_39_39, all_0_40_40, all_0_41_41, all_0_42_42, all_0_43_43, all_0_44_44, all_0_45_45, all_0_46_46, all_0_47_47, all_0_48_48, all_0_49_49, all_0_50_50, all_0_51_51, all_0_52_52, all_0_53_53, all_0_54_54, all_0_55_55, all_0_56_56, all_0_57_57, all_0_58_58 yields:
% 18.05/4.76 | (1) ~ (all_0_38_38 = all_0_39_39) & ~ (all_0_38_38 = all_0_40_40) & ~ (all_0_38_38 = all_0_41_41) & ~ (all_0_38_38 = all_0_42_42) & ~ (all_0_38_38 = all_0_51_51) & ~ (all_0_38_38 = all_0_54_54) & ~ (all_0_38_38 = e3) & ~ (all_0_38_38 = e2) & ~ (all_0_38_38 = e1) & ~ (all_0_39_39 = all_0_40_40) & ~ (all_0_39_39 = all_0_41_41) & ~ (all_0_39_39 = all_0_43_43) & ~ (all_0_39_39 = all_0_47_47) & ~ (all_0_39_39 = all_0_52_52) & ~ (all_0_39_39 = all_0_55_55) & ~ (all_0_39_39 = e1) & ~ (all_0_40_40 = all_0_41_41) & ~ (all_0_40_40 = all_0_45_45) & ~ (all_0_40_40 = all_0_49_49) & ~ (all_0_40_40 = all_0_57_57) & ~ (all_0_40_40 = e1) & ~ (all_0_40_40 = e0) & ~ (all_0_41_41 = all_0_46_46) & ~ (all_0_41_41 = all_0_50_50) & ~ (all_0_41_41 = all_0_58_58) & ~ (all_0_41_41 = e1) & ~ (all_0_42_42 = all_0_43_43) & ~ (all_0_42_42 = all_0_44_44) & ~ (all_0_42_42 = all_0_45_45) & ~ (all_0_42_42 = all_0_46_46) & ~ (all_0_42_42 = all_0_51_51) & ~ (all_0_42_42 = all_0_54_54) & ~ (all_0_42_42 = e3) & ~ (all_0_43_43 = all_0_44_44) & ~ (all_0_43_43 = all_0_45_45) & ~ (all_0_43_43 = all_0_46_46) & ~ (all_0_43_43 = all_0_47_47) & ~ (all_0_43_43 = all_0_52_52) & ~ (all_0_43_43 = all_0_55_55) & ~ (all_0_43_43 = e4) & ~ (all_0_44_44 = all_0_45_45) & ~ (all_0_44_44 = all_0_46_46) & ~ (all_0_44_44 = all_0_48_48) & ~ (all_0_44_44 = all_0_53_53) & ~ (all_0_44_44 = all_0_56_56) & ~ (all_0_44_44 = e1) & ~ (all_0_45_45 = all_0_46_46) & ~ (all_0_45_45 = all_0_49_49) & ~ (all_0_45_45 = all_0_57_57) & ~ (all_0_45_45 = e0) & ~ (all_0_46_46 = all_0_50_50) & ~ (all_0_46_46 = all_0_58_58) & ~ (all_0_46_46 = e1) & ~ (all_0_47_47 = all_0_48_48) & ~ (all_0_47_47 = all_0_49_49) & ~ (all_0_47_47 = all_0_50_50) & ~ (all_0_47_47 = all_0_52_52) & ~ (all_0_47_47 = all_0_55_55) & ~ (all_0_47_47 = e3) & ~ (all_0_48_48 = all_0_49_49) & ~ (all_0_48_48 = all_0_50_50) & ~ (all_0_48_48 = all_0_53_53) & ~ (all_0_48_48 = all_0_56_56) & ~ (all_0_48_48 = e4) & ~ (all_0_48_48 = e3) & ~ (all_0_48_48 = e1) & ~ (all_0_49_49 = all_0_50_50) & ~ (all_0_49_49 = all_0_57_57) & ~ (all_0_49_49 = e3) & ~ (all_0_49_49 = e0) & ~ (all_0_50_50 = all_0_58_58) & ~ (all_0_50_50 = e3) & ~ (all_0_50_50 = e1) & ~ (all_0_51_51 = all_0_52_52) & ~ (all_0_51_51 = all_0_53_53) & ~ (all_0_51_51 = all_0_54_54) & ~ (all_0_51_51 = e3) & ~ (all_0_51_51 = e1) & ~ (all_0_51_51 = e0) & ~ (all_0_52_52 = all_0_53_53) & ~ (all_0_52_52 = all_0_55_55) & ~ (all_0_52_52 = e1) & ~ (all_0_52_52 = e0) & ~ (all_0_53_53 = all_0_56_56) & ~ (all_0_53_53 = e1) & ~ (all_0_53_53 = e0) & ~ (all_0_54_54 = all_0_55_55) & ~ (all_0_54_54 = all_0_56_56) & ~ (all_0_54_54 = all_0_57_57) & ~ (all_0_54_54 = all_0_58_58) & ~ (all_0_54_54 = e3) & ~ (all_0_55_55 = all_0_56_56) & ~ (all_0_55_55 = all_0_57_57) & ~ (all_0_55_55 = all_0_58_58) & ~ (all_0_56_56 = all_0_57_57) & ~ (all_0_56_56 = all_0_58_58) & ~ (all_0_56_56 = e1) & ~ (all_0_57_57 = all_0_58_58) & ~ (all_0_57_57 = e0) & ~ (all_0_58_58 = e1) & ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(all_0_38_38, e4) = all_0_0_0 & op(all_0_39_39, e4) = all_0_1_1 & op(all_0_39_39, e3) = all_0_2_2 & op(all_0_40_40, e4) = all_0_3_3 & op(all_0_40_40, e1) = all_0_4_4 & op(all_0_41_41, e4) = all_0_5_5 & op(all_0_41_41, e0) = all_0_6_6 & op(all_0_42_42, e4) = all_0_8_8 & op(all_0_42_42, e3) = all_0_7_7 & op(all_0_43_43, e3) = all_0_9_9 & op(all_0_44_44, e3) = all_0_10_10 & op(all_0_44_44, e2) = all_0_11_11 & op(all_0_45_45, e3) = all_0_12_12 & op(all_0_45_45, e1) = all_0_13_13 & op(all_0_46_46, e3) = all_0_14_14 & op(all_0_46_46, e0) = all_0_15_15 & op(all_0_47_47, e3) = all_0_17_17 & op(all_0_47_47, e2) = all_0_16_16 & op(all_0_48_48, e2) = all_0_18_18 & op(all_0_49_49, e2) = all_0_19_19 & op(all_0_49_49, e1) = all_0_20_20 & op(all_0_50_50, e2) = all_0_21_21 & op(all_0_50_50, e0) = all_0_22_22 & op(all_0_51_51, e4) = all_0_24_24 & op(all_0_51_51, e1) = all_0_23_23 & op(all_0_52_52, e3) = all_0_26_26 & op(all_0_52_52, e1) = all_0_25_25 & op(all_0_53_53, e2) = all_0_28_28 & op(all_0_53_53, e1) = all_0_27_27 & op(all_0_54_54, e4) = all_0_30_30 & op(all_0_54_54, e0) = all_0_29_29 & op(all_0_55_55, e3) = all_0_32_32 & op(all_0_55_55, e0) = all_0_31_31 & op(all_0_56_56, e2) = all_0_34_34 & op(all_0_56_56, e0) = all_0_33_33 & op(all_0_57_57, e1) = all_0_36_36 & op(all_0_57_57, e0) = all_0_35_35 & op(all_0_58_58, e0) = all_0_37_37 & op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e4, e4) = all_0_38_38 & op(e4, e3) = all_0_39_39 & op(e4, e2) = e1 & op(e4, e1) = all_0_40_40 & op(e4, e0) = all_0_41_41 & op(e3, unit) = e3 & op(e3, e4) = all_0_42_42 & op(e3, e3) = all_0_43_43 & op(e3, e2) = all_0_44_44 & op(e3, e1) = all_0_45_45 & op(e3, e0) = all_0_46_46 & op(e2, unit) = e2 & op(e2, e4) = e3 & op(e2, e3) = all_0_47_47 & op(e2, e2) = all_0_48_48 & op(e2, e1) = all_0_49_49 & op(e2, e0) = all_0_50_50 & op(e1, unit) = e1 & op(e1, e4) = all_0_51_51 & op(e1, e3) = all_0_52_52 & op(e1, e2) = all_0_53_53 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, unit) = e0 & op(e0, e4) = all_0_54_54 & op(e0, e3) = all_0_55_55 & op(e0, e2) = all_0_56_56 & op(e0, e1) = all_0_57_57 & op(e0, e0) = all_0_58_58 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) & ( ~ (all_0_38_38 = e0) | all_0_41_41 = e4) & ( ~ (all_0_43_43 = e2) | all_0_44_44 = e3) & ( ~ (all_0_43_43 = e1) | all_0_45_45 = e3) & ( ~ (all_0_43_43 = e0) | all_0_46_46 = e3) & ( ~ (all_0_48_48 = e0) | all_0_50_50 = e2) & ( ~ (all_0_58_58 = e4) | all_0_54_54 = e0) & ( ~ (all_0_58_58 = e3) | all_0_55_55 = e0) & ( ~ (all_0_58_58 = e2) | all_0_56_56 = e0) & (all_0_38_38 = e4 | all_0_38_38 = e0) & (all_0_38_38 = e4 | all_0_39_39 = e4 | all_0_40_40 = e4 | all_0_41_41 = e4) & (all_0_38_38 = e4 | all_0_42_42 = e4 | all_0_51_51 = e4 | all_0_54_54 = e4) & (all_0_38_38 = e0 | all_0_39_39 = e0 | all_0_41_41 = e0) & (all_0_38_38 = e0 | all_0_42_42 = e0 | all_0_54_54 = e0) & (all_0_39_39 = e4 | all_0_39_39 = e3 | all_0_39_39 = e2 | all_0_39_39 = e0) & (all_0_39_39 = e4 | all_0_47_47 = e4 | all_0_52_52 = e4 | all_0_55_55 = e4) & (all_0_39_39 = e3 | all_0_40_40 = e3 | all_0_41_41 = e3) & (all_0_39_39 = e3 | all_0_43_43 = e3 | all_0_52_52 = e3 | all_0_55_55 = e3) & (all_0_39_39 = e2 | all_0_40_40 = e2 | all_0_41_41 = e2) & (all_0_39_39 = e2 | all_0_43_43 = e2 | all_0_47_47 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2) & (all_0_39_39 = e0 | all_0_43_43 = e0 | all_0_47_47 = e0 | all_0_55_55 = e0) & (all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e2) & (all_0_40_40 = e4 | all_0_45_45 = e4 | all_0_49_49 = e4 | all_0_57_57 = e4) & (all_0_40_40 = e3 | all_0_45_45 = e3 | all_0_57_57 = e3) & (all_0_40_40 = e2 | all_0_45_45 = e2 | all_0_49_49 = e2 | all_0_57_57 = e2) & (all_0_41_41 = e4 | all_0_41_41 = e3 | all_0_41_41 = e2 | all_0_41_41 = e0) & (all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_58_58 = e4) & (all_0_41_41 = e3 | all_0_46_46 = e3 | all_0_58_58 = e3) & (all_0_41_41 = e2 | all_0_46_46 = e2 | all_0_50_50 = e2 | all_0_58_58 = e2) & (all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_50_50 = e0 | all_0_58_58 = e0) & (all_0_42_42 = e4 | all_0_42_42 = e2 | all_0_42_42 = e1 | all_0_42_42 = e0) & (all_0_42_42 = e4 | all_0_44_44 = e4 | all_0_45_45 = e4 | all_0_46_46 = e4) & (all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2) & (all_0_42_42 = e2 | all_0_51_51 = e2 | all_0_54_54 = e2) & (all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_45_45 = e1) & (all_0_42_42 = e1 | all_0_54_54 = e1) & (all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 | all_0_46_46 = e0) & (all_0_43_43 = e3 | all_0_43_43 = e2 | all_0_43_43 = e1 | all_0_43_43 = e0) & (all_0_43_43 = e3 | all_0_44_44 = e3 | all_0_45_45 = e3 | all_0_46_46 = e3) & (all_0_43_43 = e1 | all_0_47_47 = e1 | all_0_55_55 = e1) & (all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e2 | all_0_44_44 = e0) & (all_0_44_44 = e4 | all_0_53_53 = e4 | all_0_56_56 = e4) & (all_0_44_44 = e3 | all_0_53_53 = e3 | all_0_56_56 = e3) & (all_0_44_44 = e2 | all_0_48_48 = e2 | all_0_53_53 = e2 | all_0_56_56 = e2) & (all_0_44_44 = e0 | all_0_48_48 = e0 | all_0_56_56 = e0) & (all_0_45_45 = e4 | all_0_45_45 = e3 | all_0_45_45 = e2 | all_0_45_45 = e1) & (all_0_45_45 = e1 | all_0_49_49 = e1 | all_0_57_57 = e1) & (all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e2 | all_0_46_46 = e0) & (all_0_47_47 = e4 | all_0_47_47 = e2 | all_0_47_47 = e1 | all_0_47_47 = e0) & (all_0_47_47 = e4 | all_0_49_49 = e4 | all_0_50_50 = e4) & (all_0_47_47 = e2 | all_0_48_48 = e2 | all_0_49_49 = e2 | all_0_50_50 = e2) & (all_0_47_47 = e1 | all_0_49_49 = e1) & (all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_50_50 = e0) & (all_0_48_48 = e2 | all_0_48_48 = e0) & (all_0_49_49 = e4 | all_0_49_49 = e2 | all_0_49_49 = e1) & (all_0_50_50 = e4 | all_0_50_50 = e2 | all_0_50_50 = e0) & (all_0_51_51 = e4 | all_0_51_51 = e2) & (all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4) & (all_0_51_51 = e2 | all_0_52_52 = e2 | all_0_53_53 = e2) & (all_0_52_52 = e4 | all_0_52_52 = e3 | all_0_52_52 = e2) & (all_0_52_52 = e3 | all_0_53_53 = e3) & (all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e2) & (all_0_54_54 = e4 | all_0_54_54 = e2 | all_0_54_54 = e1 | all_0_54_54 = e0) & (all_0_54_54 = e4 | all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4) & (all_0_54_54 = e2 | all_0_55_55 = e2 | all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2) & (all_0_54_54 = e1 | all_0_55_55 = e1 | all_0_57_57 = e1) & (all_0_54_54 = e0 | all_0_55_55 = e0 | all_0_56_56 = e0 | all_0_58_58 = e0) & (all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e2 | all_0_55_55 = e1 | all_0_55_55 = e0) & (all_0_55_55 = e3 | all_0_56_56 = e3 | all_0_57_57 = e3 | all_0_58_58 = e3) & (all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e2 | all_0_56_56 = e0) & (all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e2 | all_0_57_57 = e1) & (all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e2 | all_0_58_58 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0) & ((all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)) | (all_0_42_42 = e2 & ~ (all_0_44_44 = e4)) | (all_0_53_53 = e4 & ~ (all_0_51_51 = e2)))
% 18.37/4.78 |
% 18.37/4.78 | Applying alpha-rule on (1) yields:
% 18.37/4.78 | (2) ~ (all_0_56_56 = all_0_58_58)
% 18.37/4.78 | (3) ~ (all_0_38_38 = all_0_39_39)
% 18.37/4.78 | (4) all_0_38_38 = e4 | all_0_39_39 = e4 | all_0_40_40 = e4 | all_0_41_41 = e4
% 18.37/4.78 | (5) ~ (all_0_57_57 = all_0_58_58)
% 18.37/4.78 | (6) all_0_39_39 = e0 | all_0_43_43 = e0 | all_0_47_47 = e0 | all_0_55_55 = e0
% 18.37/4.78 | (7) ~ (all_0_38_38 = e3)
% 18.37/4.78 | (8) ~ (all_0_42_42 = all_0_43_43)
% 18.37/4.78 | (9) all_0_54_54 = e1 | all_0_55_55 = e1 | all_0_57_57 = e1
% 18.37/4.78 | (10) ~ (all_0_43_43 = all_0_47_47)
% 18.37/4.78 | (11) ~ (all_0_39_39 = all_0_41_41)
% 18.37/4.78 | (12) ~ (all_0_52_52 = e0)
% 18.37/4.78 | (13) ~ (all_0_43_43 = e0) | all_0_46_46 = e3
% 18.37/4.78 | (14) ~ (all_0_42_42 = all_0_46_46)
% 18.37/4.78 | (15) ~ (all_0_40_40 = all_0_57_57)
% 18.37/4.78 | (16) ~ (all_0_43_43 = all_0_55_55)
% 18.37/4.78 | (17) ~ (all_0_48_48 = all_0_56_56)
% 18.37/4.78 | (18) ~ (all_0_44_44 = all_0_46_46)
% 18.37/4.78 | (19) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e2 | all_0_57_57 = e1
% 18.37/4.78 | (20) ~ (all_0_55_55 = all_0_57_57)
% 18.37/4.78 | (21) all_0_44_44 = e4 | all_0_53_53 = e4 | all_0_56_56 = e4
% 18.37/4.78 | (22) ~ (all_0_53_53 = e0)
% 18.37/4.78 | (23) ~ (all_0_45_45 = all_0_49_49)
% 18.37/4.78 | (24) all_0_50_50 = e4 | all_0_50_50 = e2 | all_0_50_50 = e0
% 18.37/4.78 | (25) op(all_0_47_47, e2) = all_0_16_16
% 18.37/4.78 | (26) ~ (all_0_47_47 = all_0_48_48)
% 18.37/4.78 | (27) all_0_38_38 = e0 | all_0_42_42 = e0 | all_0_54_54 = e0
% 18.37/4.78 | (28) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_45_45 = e1
% 18.37/4.78 | (29) ~ (all_0_58_58 = e2) | all_0_56_56 = e0
% 18.37/4.78 | (30) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 | all_0_46_46 = e0
% 18.37/4.78 | (31) ~ (all_0_39_39 = all_0_40_40)
% 18.37/4.78 | (32) ~ (all_0_49_49 = all_0_50_50)
% 18.37/4.78 | (33) ~ (all_0_50_50 = e1)
% 18.37/4.78 | (34) ~ (all_0_45_45 = all_0_46_46)
% 18.37/4.78 | (35) ~ (all_0_58_58 = e3) | all_0_55_55 = e0
% 18.37/4.78 | (36) ~ (all_0_42_42 = all_0_51_51)
% 18.37/4.78 | (37) op(all_0_41_41, e0) = all_0_6_6
% 18.37/4.78 | (38) ~ (all_0_44_44 = all_0_45_45)
% 18.37/4.78 | (39) op(all_0_46_46, e3) = all_0_14_14
% 18.37/4.78 | (40) op(all_0_57_57, e0) = all_0_35_35
% 18.37/4.78 | (41) op(e0, e3) = all_0_55_55
% 18.37/4.78 | (42) ~ (e4 = e2)
% 18.37/4.78 | (43) ~ (e4 = e0)
% 18.37/4.78 | (44) op(all_0_45_45, e1) = all_0_13_13
% 18.37/4.78 | (45) op(e3, e4) = all_0_42_42
% 18.37/4.78 | (46) op(e1, e1) = e0
% 18.37/4.78 | (47) all_0_44_44 = e0 | all_0_48_48 = e0 | all_0_56_56 = e0
% 18.37/4.78 | (48) op(e2, e2) = all_0_48_48
% 18.37/4.78 | (49) ~ (all_0_47_47 = e3)
% 18.37/4.78 | (50) op(all_0_45_45, e3) = all_0_12_12
% 18.37/4.78 | (51) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0
% 18.37/4.78 | (52) op(all_0_54_54, e4) = all_0_30_30
% 18.37/4.78 | (53) all_0_39_39 = e2 | all_0_40_40 = e2 | all_0_41_41 = e2
% 18.37/4.78 | (54) op(all_0_40_40, e4) = all_0_3_3
% 18.37/4.78 | (55) ~ (all_0_44_44 = e1)
% 18.37/4.78 | (56) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e2
% 18.37/4.78 | (57) all_0_54_54 = e4 | all_0_54_54 = e2 | all_0_54_54 = e1 | all_0_54_54 = e0
% 18.37/4.78 | (58) ~ (all_0_56_56 = e1)
% 18.37/4.78 | (59) op(e4, e4) = all_0_38_38
% 18.37/4.78 | (60) ~ (all_0_52_52 = all_0_53_53)
% 18.37/4.78 | (61) all_0_51_51 = e4 | all_0_51_51 = e2
% 18.37/4.78 | (62) op(e2, e3) = all_0_47_47
% 18.37/4.78 | (63) op(unit, e2) = e2
% 18.37/4.78 | (64) ~ (all_0_43_43 = e4)
% 18.37/4.78 | (65) op(e1, e4) = all_0_51_51
% 18.37/4.78 | (66) all_0_42_42 = e2 | all_0_43_43 = e2 | all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2
% 18.37/4.78 | (67) ~ (all_0_39_39 = e1)
% 18.37/4.78 | (68) ~ (all_0_42_42 = e3)
% 18.37/4.78 | (69) ~ (all_0_41_41 = e1)
% 18.37/4.78 | (70) ~ (all_0_52_52 = e1)
% 18.37/4.78 | (71) op(all_0_43_43, e3) = all_0_9_9
% 18.37/4.79 | (72) ~ (all_0_43_43 = all_0_45_45)
% 18.37/4.79 | (73) op(all_0_57_57, e1) = all_0_36_36
% 18.37/4.79 | (74) ~ (all_0_50_50 = e3)
% 18.37/4.79 | (75) ~ (all_0_45_45 = all_0_57_57)
% 18.37/4.79 | (76) all_0_38_38 = e4 | all_0_38_38 = e0
% 18.37/4.79 | (77) ~ (all_0_43_43 = all_0_44_44)
% 18.37/4.79 | (78) ~ (all_0_51_51 = e0)
% 18.37/4.79 | (79) op(all_0_50_50, e2) = all_0_21_21
% 18.37/4.79 | (80) ~ (all_0_48_48 = e0) | all_0_50_50 = e2
% 18.37/4.79 | (81) ~ (e3 = e0)
% 18.37/4.79 | (82) op(all_0_39_39, e4) = all_0_1_1
% 18.37/4.79 | (83) all_0_39_39 = e4 | all_0_47_47 = e4 | all_0_52_52 = e4 | all_0_55_55 = e4
% 18.37/4.79 | (84) ~ (all_0_42_42 = all_0_44_44)
% 18.37/4.79 | (85) ~ (all_0_51_51 = all_0_52_52)
% 18.37/4.79 | (86) ~ (all_0_48_48 = all_0_49_49)
% 18.37/4.79 | (87) op(e2, unit) = e2
% 18.37/4.79 | (88) ~ (all_0_38_38 = all_0_54_54)
% 18.37/4.79 | (89) all_0_54_54 = e2 | all_0_55_55 = e2 | all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2
% 18.37/4.79 | (90) op(all_0_53_53, e1) = all_0_27_27
% 18.37/4.79 | (91) all_0_42_42 = e4 | all_0_44_44 = e4 | all_0_45_45 = e4 | all_0_46_46 = e4
% 18.37/4.79 | (92) all_0_51_51 = e2 | all_0_52_52 = e2 | all_0_53_53 = e2
% 18.37/4.79 | (93) ~ (all_0_47_47 = all_0_49_49)
% 18.37/4.79 | (94) ~ (all_0_49_49 = all_0_57_57)
% 18.37/4.79 | (95) op(all_0_51_51, e4) = all_0_24_24
% 18.37/4.79 | (96) all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_50_50 = e0 | all_0_58_58 = e0
% 18.37/4.79 | (97) op(all_0_55_55, e3) = all_0_32_32
% 18.37/4.79 | (98) all_0_38_38 = e4 | all_0_42_42 = e4 | all_0_51_51 = e4 | all_0_54_54 = e4
% 18.37/4.79 | (99) op(e1, e2) = all_0_53_53
% 18.37/4.79 | (100) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e2 | all_0_46_46 = e0
% 18.37/4.79 | (101) ~ (all_0_47_47 = all_0_52_52)
% 18.37/4.79 | (102) all_0_39_39 = e2 | all_0_43_43 = e2 | all_0_47_47 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2
% 18.37/4.79 | (103) ~ (all_0_50_50 = all_0_58_58)
% 18.37/4.79 | (104) ~ (all_0_53_53 = e1)
% 18.37/4.79 | (105) op(all_0_42_42, e3) = all_0_7_7
% 18.37/4.79 | (106) all_0_54_54 = e4 | all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4
% 18.37/4.79 | (107) op(e1, e3) = all_0_52_52
% 18.37/4.79 | (108) ~ (all_0_40_40 = all_0_45_45)
% 18.37/4.79 | (109) ~ (all_0_44_44 = all_0_53_53)
% 18.37/4.79 | (110) ~ (all_0_38_38 = all_0_41_41)
% 18.37/4.79 | (111) ~ (all_0_40_40 = all_0_41_41)
% 18.37/4.79 | (112) op(all_0_39_39, e3) = all_0_2_2
% 18.37/4.79 | (113) ~ (all_0_46_46 = e1)
% 18.37/4.79 | (114) ~ (e4 = e1)
% 18.37/4.79 | (115) ~ (all_0_48_48 = all_0_53_53)
% 18.37/4.79 | (116) ~ (all_0_55_55 = all_0_58_58)
% 18.37/4.79 | (117) op(e4, e1) = all_0_40_40
% 18.37/4.79 | (118) op(all_0_53_53, e2) = all_0_28_28
% 18.37/4.79 | (119) op(all_0_38_38, e4) = all_0_0_0
% 18.37/4.79 | (120) op(all_0_48_48, e2) = all_0_18_18
% 18.37/4.79 | (121) all_0_44_44 = e2 | all_0_48_48 = e2 | all_0_53_53 = e2 | all_0_56_56 = e2
% 18.37/4.79 | (122) ~ (e2 = e1)
% 18.37/4.79 | (123) all_0_39_39 = e3 | all_0_43_43 = e3 | all_0_52_52 = e3 | all_0_55_55 = e3
% 18.37/4.79 | (124) ~ (all_0_44_44 = all_0_56_56)
% 18.37/4.79 | (125) op(e0, unit) = e0
% 18.37/4.79 | (126) ~ (all_0_41_41 = all_0_46_46)
% 18.37/4.79 | (127) op(all_0_49_49, e2) = all_0_19_19
% 18.37/4.79 | (128) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)) | (all_0_42_42 = e2 & ~ (all_0_44_44 = e4)) | (all_0_53_53 = e4 & ~ (all_0_51_51 = e2))
% 18.37/4.79 | (129) ~ (all_0_39_39 = all_0_52_52)
% 18.37/4.79 | (130) op(all_0_44_44, e3) = all_0_10_10
% 18.37/4.79 | (131) op(e2, e0) = all_0_50_50
% 18.37/4.80 | (132) all_0_55_55 = e3 | all_0_56_56 = e3 | all_0_57_57 = e3 | all_0_58_58 = e3
% 18.37/4.80 | (133) ~ (e2 = e0)
% 18.37/4.80 | (134) ~ (all_0_40_40 = e1)
% 18.37/4.80 | (135) op(e3, unit) = e3
% 18.37/4.80 | (136) ~ (all_0_43_43 = e1) | all_0_45_45 = e3
% 18.37/4.80 | (137) op(e4, e0) = all_0_41_41
% 18.37/4.80 | (138) all_0_39_39 = e3 | all_0_40_40 = e3 | all_0_41_41 = e3
% 18.37/4.80 | (139) ~ (all_0_38_38 = all_0_42_42)
% 18.37/4.80 | (140) all_0_40_40 = e3 | all_0_45_45 = e3 | all_0_57_57 = e3
% 18.37/4.80 | (141) all_0_43_43 = e3 | all_0_44_44 = e3 | all_0_45_45 = e3 | all_0_46_46 = e3
% 18.37/4.80 | (142) op(all_0_47_47, e3) = all_0_17_17
% 18.37/4.80 | (143) all_0_38_38 = e0 | all_0_39_39 = e0 | all_0_41_41 = e0
% 18.37/4.80 | (144) ~ (all_0_54_54 = all_0_55_55)
% 18.37/4.80 | (145) all_0_42_42 = e2 | all_0_51_51 = e2 | all_0_54_54 = e2
% 18.37/4.80 | (146) all_0_41_41 = e4 | all_0_41_41 = e3 | all_0_41_41 = e2 | all_0_41_41 = e0
% 18.37/4.80 | (147) op(all_0_54_54, e0) = all_0_29_29
% 18.37/4.80 | (148) ~ (all_0_48_48 = e1)
% 18.37/4.80 | (149) ~ (all_0_58_58 = e1)
% 18.37/4.80 | (150) op(unit, e4) = e4
% 18.37/4.80 | (151) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 18.37/4.80 | (152) op(all_0_50_50, e0) = all_0_22_22
% 18.37/4.80 | (153) ~ (all_0_47_47 = all_0_55_55)
% 18.37/4.80 | (154) op(e4, e3) = all_0_39_39
% 18.37/4.80 | (155) ~ (all_0_39_39 = all_0_43_43)
% 18.37/4.80 | (156) ~ (all_0_54_54 = all_0_58_58)
% 18.37/4.80 | (157) ~ (all_0_39_39 = all_0_47_47)
% 18.37/4.80 | (158) ~ (all_0_51_51 = e3)
% 18.37/4.80 | (159) op(all_0_42_42, e4) = all_0_8_8
% 18.37/4.80 | (160) all_0_45_45 = e4 | all_0_45_45 = e3 | all_0_45_45 = e2 | all_0_45_45 = e1
% 18.37/4.80 | (161) all_0_41_41 = e2 | all_0_46_46 = e2 | all_0_50_50 = e2 | all_0_58_58 = e2
% 18.37/4.80 | (162) op(all_0_49_49, e1) = all_0_20_20
% 18.37/4.80 | (163) ~ (all_0_45_45 = e0)
% 18.37/4.80 | (164) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e2 | all_0_58_58 = e0
% 18.37/4.80 | (165) op(e3, e2) = all_0_44_44
% 18.37/4.80 | (166) op(e4, e2) = e1
% 18.37/4.80 | (167) ~ (all_0_43_43 = e2) | all_0_44_44 = e3
% 18.37/4.80 | (168) all_0_52_52 = e4 | all_0_52_52 = e3 | all_0_52_52 = e2
% 18.37/4.80 | (169) all_0_40_40 = e2 | all_0_45_45 = e2 | all_0_49_49 = e2 | all_0_57_57 = e2
% 18.37/4.80 | (170) ~ (all_0_38_38 = e0) | all_0_41_41 = e4
% 18.37/4.80 | (171) ~ (all_0_40_40 = e0)
% 18.37/4.80 | (172) op(e0, e1) = all_0_57_57
% 18.37/4.80 | (173) ~ (all_0_48_48 = all_0_50_50)
% 18.37/4.80 | (174) ~ (all_0_43_43 = all_0_46_46)
% 18.37/4.80 | (175) op(all_0_51_51, e1) = all_0_23_23
% 18.37/4.80 | (176) all_0_47_47 = e4 | all_0_49_49 = e4 | all_0_50_50 = e4
% 18.37/4.80 | (177) ~ (all_0_48_48 = e4)
% 18.37/4.80 | (178) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e2 | all_0_55_55 = e1 | all_0_55_55 = e0
% 18.37/4.80 | (179) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e2 | all_0_56_56 = e0
% 18.37/4.80 | (180) op(e4, unit) = e4
% 18.37/4.80 | (181) ~ (all_0_42_42 = all_0_54_54)
% 18.37/4.80 | (182) op(e0, e2) = all_0_56_56
% 18.37/4.80 | (183) op(all_0_46_46, e0) = all_0_15_15
% 18.37/4.80 | (184) ~ (all_0_46_46 = all_0_58_58)
% 18.37/4.80 | (185) op(all_0_44_44, e2) = all_0_11_11
% 18.37/4.80 | (186) all_0_42_42 = e1 | all_0_54_54 = e1
% 18.37/4.80 | (187) ~ (all_0_38_38 = all_0_40_40)
% 18.37/4.80 | (188) op(all_0_55_55, e0) = all_0_31_31
% 18.37/4.80 | (189) ~ (all_0_57_57 = e0)
% 18.37/4.81 | (190) ~ (all_0_54_54 = all_0_56_56)
% 18.37/4.81 | (191) ~ (all_0_49_49 = e3)
% 18.37/4.81 | (192) ~ (all_0_53_53 = all_0_56_56)
% 18.37/4.81 | (193) op(e2, e1) = all_0_49_49
% 18.37/4.81 | (194) ~ (all_0_55_55 = all_0_56_56)
% 18.37/4.81 | (195) ~ (all_0_40_40 = all_0_49_49)
% 18.37/4.81 | (196) op(e3, e1) = all_0_45_45
% 18.37/4.81 | (197) op(all_0_56_56, e0) = all_0_33_33
% 18.37/4.81 | (198) op(all_0_58_58, e0) = all_0_37_37
% 18.37/4.81 | (199) ~ (e4 = e3)
% 18.37/4.81 | (200) op(unit, e0) = e0
% 18.37/4.81 | (201) all_0_52_52 = e3 | all_0_53_53 = e3
% 18.37/4.81 | (202) op(all_0_56_56, e2) = all_0_34_34
% 18.37/4.81 | (203) all_0_48_48 = e2 | all_0_48_48 = e0
% 18.37/4.81 | (204) all_0_43_43 = e3 | all_0_43_43 = e2 | all_0_43_43 = e1 | all_0_43_43 = e0
% 18.37/4.81 | (205) all_0_47_47 = e4 | all_0_47_47 = e2 | all_0_47_47 = e1 | all_0_47_47 = e0
% 18.37/4.81 | (206) ~ (all_0_54_54 = e3)
% 18.37/4.81 | (207) ~ (all_0_51_51 = all_0_54_54)
% 18.37/4.81 | (208) ~ (all_0_42_42 = all_0_45_45)
% 18.37/4.81 | (209) all_0_47_47 = e1 | all_0_49_49 = e1
% 18.37/4.81 | (210) ~ (all_0_41_41 = all_0_50_50)
% 18.37/4.81 | (211) all_0_45_45 = e1 | all_0_49_49 = e1 | all_0_57_57 = e1
% 18.37/4.81 | (212) op(e3, e0) = all_0_46_46
% 18.37/4.81 | (213) all_0_47_47 = e2 | all_0_48_48 = e2 | all_0_49_49 = e2 | all_0_50_50 = e2
% 18.37/4.81 | (214) all_0_41_41 = e3 | all_0_46_46 = e3 | all_0_58_58 = e3
% 18.37/4.81 | (215) op(e2, e4) = e3
% 18.37/4.81 | (216) ~ (all_0_51_51 = all_0_53_53)
% 18.37/4.81 | (217) ~ (all_0_38_38 = e1)
% 18.37/4.81 | (218) op(all_0_52_52, e3) = all_0_26_26
% 18.37/4.81 | (219) all_0_49_49 = e4 | all_0_49_49 = e2 | all_0_49_49 = e1
% 18.37/4.81 | (220) all_0_43_43 = e1 | all_0_47_47 = e1 | all_0_55_55 = e1
% 18.37/4.81 | (221) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_58_58 = e4
% 18.37/4.81 | (222) ~ (all_0_46_46 = all_0_50_50)
% 18.37/4.81 | (223) ~ (all_0_54_54 = all_0_57_57)
% 18.37/4.81 | (224) ~ (all_0_41_41 = all_0_58_58)
% 18.37/4.81 | (225) op(e0, e0) = all_0_58_58
% 18.37/4.81 | (226) ~ (all_0_38_38 = e2)
% 18.37/4.81 | (227) all_0_42_42 = e4 | all_0_42_42 = e2 | all_0_42_42 = e1 | all_0_42_42 = e0
% 18.37/4.81 | (228) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_50_50 = e0
% 18.37/4.81 | (229) op(e1, unit) = e1
% 18.37/4.81 | (230) all_0_44_44 = e3 | all_0_53_53 = e3 | all_0_56_56 = e3
% 18.37/4.81 | (231) ~ (e3 = e2)
% 18.37/4.81 | (232) ~ (all_0_38_38 = all_0_51_51)
% 18.37/4.81 | (233) all_0_40_40 = e4 | all_0_45_45 = e4 | all_0_49_49 = e4 | all_0_57_57 = e4
% 18.37/4.81 | (234) ~ (e3 = e1)
% 18.37/4.81 | (235) ~ (all_0_52_52 = all_0_55_55)
% 18.37/4.81 | (236) op(all_0_52_52, e1) = all_0_25_25
% 18.37/4.81 | (237) op(unit, e3) = e3
% 18.37/4.81 | (238) op(unit, e1) = e1
% 18.37/4.81 | (239) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e2 | all_0_44_44 = e0
% 18.37/4.81 | (240) ~ (all_0_43_43 = all_0_52_52)
% 18.37/4.81 | (241) ~ (all_0_49_49 = e0)
% 18.37/4.81 | (242) ~ (all_0_47_47 = all_0_50_50)
% 18.37/4.81 | (243) ~ (all_0_56_56 = all_0_57_57)
% 18.37/4.81 | (244) all_0_39_39 = e4 | all_0_39_39 = e3 | all_0_39_39 = e2 | all_0_39_39 = e0
% 18.37/4.82 | (245) all_0_54_54 = e0 | all_0_55_55 = e0 | all_0_56_56 = e0 | all_0_58_58 = e0
% 18.37/4.82 | (246) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4
% 18.37/4.82 | (247) ~ (e1 = e0)
% 18.37/4.82 | (248) ~ (all_0_58_58 = e4) | all_0_54_54 = e0
% 18.37/4.82 | (249) op(e3, e3) = all_0_43_43
% 18.37/4.82 | (250) ~ (all_0_39_39 = all_0_55_55)
% 18.37/4.82 | (251) ~ (all_0_51_51 = e1)
% 18.37/4.82 | (252) op(all_0_40_40, e1) = all_0_4_4
% 18.37/4.82 | (253) ~ (all_0_48_48 = e3)
% 18.37/4.82 | (254) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e2
% 18.37/4.82 | (255) ~ (all_0_44_44 = all_0_48_48)
% 18.37/4.82 | (256) op(all_0_41_41, e4) = all_0_5_5
% 18.37/4.82 | (257) op(e1, e0) = e1
% 18.37/4.82 | (258) op(e0, e4) = all_0_54_54
% 18.37/4.82 |
% 18.37/4.82 +-Applying beta-rule and splitting (80), into two cases.
% 18.37/4.82 |-Branch one:
% 18.37/4.82 | (259) ~ (all_0_48_48 = e0)
% 18.37/4.82 |
% 18.37/4.82 +-Applying beta-rule and splitting (203), into two cases.
% 18.37/4.82 |-Branch one:
% 18.37/4.82 | (260) all_0_48_48 = e2
% 18.37/4.82 |
% 18.37/4.82 | Equations (260) can reduce 255 to:
% 18.37/4.82 | (261) ~ (all_0_44_44 = e2)
% 18.37/4.82 |
% 18.37/4.82 | Equations (260) can reduce 26 to:
% 18.37/4.82 | (262) ~ (all_0_47_47 = e2)
% 18.37/4.82 |
% 18.37/4.82 | Equations (260) can reduce 86 to:
% 18.37/4.82 | (263) ~ (all_0_49_49 = e2)
% 18.37/4.82 |
% 18.37/4.82 | Simplifying 263 yields:
% 18.37/4.82 | (264) ~ (all_0_49_49 = e2)
% 18.37/4.82 |
% 18.37/4.82 | Equations (260) can reduce 173 to:
% 18.37/4.82 | (265) ~ (all_0_50_50 = e2)
% 18.37/4.82 |
% 18.37/4.82 | Simplifying 265 yields:
% 18.37/4.82 | (266) ~ (all_0_50_50 = e2)
% 18.37/4.82 |
% 18.37/4.82 | Equations (260) can reduce 115 to:
% 18.37/4.82 | (267) ~ (all_0_53_53 = e2)
% 18.37/4.82 |
% 18.37/4.82 | Simplifying 267 yields:
% 18.37/4.82 | (268) ~ (all_0_53_53 = e2)
% 18.37/4.82 |
% 18.37/4.82 | Equations (260) can reduce 17 to:
% 18.37/4.82 | (269) ~ (all_0_56_56 = e2)
% 18.37/4.82 |
% 18.37/4.82 | Simplifying 269 yields:
% 18.37/4.82 | (270) ~ (all_0_56_56 = e2)
% 18.37/4.82 |
% 18.37/4.82 | Equations (260) can reduce 177 to:
% 18.37/4.82 | (271) ~ (e4 = e2)
% 18.37/4.82 |
% 18.37/4.82 | Simplifying 271 yields:
% 18.37/4.82 | (42) ~ (e4 = e2)
% 18.37/4.82 |
% 18.37/4.82 | Equations (260) can reduce 259 to:
% 18.37/4.82 | (133) ~ (e2 = e0)
% 18.37/4.82 |
% 18.37/4.82 +-Applying beta-rule and splitting (29), into two cases.
% 18.37/4.82 |-Branch one:
% 18.37/4.82 | (274) ~ (all_0_58_58 = e2)
% 18.37/4.82 |
% 18.37/4.82 +-Applying beta-rule and splitting (167), into two cases.
% 18.37/4.82 |-Branch one:
% 18.37/4.82 | (275) ~ (all_0_43_43 = e2)
% 18.37/4.82 |
% 18.37/4.82 +-Applying beta-rule and splitting (61), into two cases.
% 18.37/4.82 |-Branch one:
% 18.37/4.82 | (276) all_0_51_51 = e2
% 18.37/4.82 |
% 18.37/4.82 | Equations (276) can reduce 36 to:
% 18.37/4.82 | (277) ~ (all_0_42_42 = e2)
% 18.37/4.82 |
% 18.37/4.82 | Equations (276) can reduce 85 to:
% 18.37/4.82 | (278) ~ (all_0_52_52 = e2)
% 18.37/4.82 |
% 18.37/4.83 | Simplifying 278 yields:
% 18.37/4.83 | (279) ~ (all_0_52_52 = e2)
% 18.37/4.83 |
% 18.37/4.83 | Equations (276) can reduce 216 to:
% 18.37/4.83 | (267) ~ (all_0_53_53 = e2)
% 18.37/4.83 |
% 18.37/4.83 | Simplifying 267 yields:
% 18.37/4.83 | (268) ~ (all_0_53_53 = e2)
% 18.37/4.83 |
% 18.37/4.83 | Equations (276) can reduce 207 to:
% 18.37/4.83 | (282) ~ (all_0_54_54 = e2)
% 18.37/4.83 |
% 18.37/4.83 | Simplifying 282 yields:
% 18.37/4.83 | (283) ~ (all_0_54_54 = e2)
% 18.37/4.83 |
% 18.37/4.83 | Equations (276) can reduce 158 to:
% 18.37/4.83 | (284) ~ (e3 = e2)
% 18.37/4.83 |
% 18.37/4.83 | Simplifying 284 yields:
% 18.37/4.83 | (231) ~ (e3 = e2)
% 18.37/4.83 |
% 18.37/4.83 | Equations (276) can reduce 78 to:
% 18.37/4.83 | (133) ~ (e2 = e0)
% 18.37/4.83 |
% 18.37/4.83 | From (276) and (95) follows:
% 18.37/4.83 | (287) op(e2, e4) = all_0_24_24
% 18.37/4.83 |
% 18.37/4.83 | From (276) and (175) follows:
% 18.37/4.83 | (288) op(e2, e1) = all_0_23_23
% 18.37/4.83 |
% 18.37/4.83 | From (276) and (65) follows:
% 18.37/4.83 | (289) op(e1, e4) = e2
% 18.37/4.83 |
% 18.37/4.83 | Instantiating formula (151) with e2, e4, all_0_24_24, e3 and discharging atoms op(e2, e4) = all_0_24_24, op(e2, e4) = e3, yields:
% 18.37/4.83 | (290) all_0_24_24 = e3
% 18.37/4.83 |
% 18.37/4.83 | Instantiating formula (151) with e2, e1, all_0_23_23, all_0_49_49 and discharging atoms op(e2, e1) = all_0_23_23, op(e2, e1) = all_0_49_49, yields:
% 18.37/4.83 | (291) all_0_23_23 = all_0_49_49
% 18.37/4.83 |
% 18.37/4.83 | From (291) and (288) follows:
% 18.37/4.83 | (193) op(e2, e1) = all_0_49_49
% 18.37/4.83 |
% 18.37/4.83 +-Applying beta-rule and splitting (35), into two cases.
% 18.37/4.83 |-Branch one:
% 18.37/4.83 | (293) ~ (all_0_58_58 = e3)
% 18.37/4.83 |
% 18.37/4.83 +-Applying beta-rule and splitting (76), into two cases.
% 18.37/4.83 |-Branch one:
% 18.37/4.83 | (294) all_0_38_38 = e4
% 18.37/4.83 |
% 18.37/4.83 | Equations (294) can reduce 3 to:
% 18.37/4.83 | (295) ~ (all_0_39_39 = e4)
% 18.37/4.83 |
% 18.37/4.83 | Simplifying 295 yields:
% 18.37/4.83 | (296) ~ (all_0_39_39 = e4)
% 18.37/4.83 |
% 18.37/4.83 | Equations (294) can reduce 187 to:
% 18.37/4.83 | (297) ~ (all_0_40_40 = e4)
% 18.37/4.83 |
% 18.37/4.83 | Simplifying 297 yields:
% 18.37/4.83 | (298) ~ (all_0_40_40 = e4)
% 18.37/4.83 |
% 18.37/4.83 +-Applying beta-rule and splitting (248), into two cases.
% 18.37/4.83 |-Branch one:
% 18.37/4.83 | (299) ~ (all_0_58_58 = e4)
% 18.37/4.83 |
% 18.37/4.83 +-Applying beta-rule and splitting (164), into two cases.
% 18.37/4.83 |-Branch one:
% 18.37/4.83 | (300) all_0_58_58 = e2
% 18.37/4.83 |
% 18.37/4.83 | Equations (300) can reduce 274 to:
% 18.37/4.83 | (301) $false
% 18.37/4.83 |
% 18.37/4.84 |-The branch is then unsatisfiable
% 18.37/4.84 |-Branch two:
% 18.37/4.84 | (274) ~ (all_0_58_58 = e2)
% 18.37/4.84 | (303) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e0
% 18.37/4.84 |
% 18.37/4.84 +-Applying beta-rule and splitting (303), into two cases.
% 18.37/4.84 |-Branch one:
% 18.37/4.84 | (304) all_0_58_58 = e4
% 18.37/4.84 |
% 18.37/4.84 | Equations (304) can reduce 299 to:
% 18.37/4.84 | (301) $false
% 18.37/4.84 |
% 18.37/4.84 |-The branch is then unsatisfiable
% 18.37/4.84 |-Branch two:
% 18.37/4.84 | (299) ~ (all_0_58_58 = e4)
% 18.37/4.84 | (307) all_0_58_58 = e3 | all_0_58_58 = e0
% 18.37/4.84 |
% 18.37/4.84 +-Applying beta-rule and splitting (307), into two cases.
% 18.37/4.84 |-Branch one:
% 18.37/4.84 | (308) all_0_58_58 = e0
% 18.37/4.84 |
% 18.37/4.84 | Equations (308) can reduce 224 to:
% 18.37/4.84 | (309) ~ (all_0_41_41 = e0)
% 18.37/4.84 |
% 18.37/4.84 | Equations (308) can reduce 103 to:
% 18.37/4.84 | (310) ~ (all_0_50_50 = e0)
% 18.37/4.84 |
% 18.37/4.84 | Equations (308) can reduce 299 to:
% 18.37/4.84 | (311) ~ (e4 = e0)
% 18.37/4.84 |
% 18.37/4.84 | Simplifying 311 yields:
% 18.37/4.84 | (43) ~ (e4 = e0)
% 18.37/4.84 |
% 18.37/4.84 | Equations (308) can reduce 274 to:
% 18.37/4.84 | (313) ~ (e2 = e0)
% 18.37/4.84 |
% 18.37/4.84 | Simplifying 313 yields:
% 18.37/4.84 | (133) ~ (e2 = e0)
% 18.37/4.84 |
% 18.37/4.84 +-Applying beta-rule and splitting (143), into two cases.
% 18.37/4.84 |-Branch one:
% 18.37/4.84 | (315) all_0_38_38 = e0
% 18.37/4.84 |
% 18.37/4.84 | Combining equations (294,315) yields a new equation:
% 18.37/4.84 | (316) e4 = e0
% 18.37/4.84 |
% 18.37/4.84 | Simplifying 316 yields:
% 18.37/4.84 | (317) e4 = e0
% 18.37/4.84 |
% 18.37/4.84 | Equations (317) can reduce 43 to:
% 18.37/4.84 | (301) $false
% 18.37/4.84 |
% 18.37/4.84 |-The branch is then unsatisfiable
% 18.37/4.84 |-Branch two:
% 18.37/4.84 | (319) ~ (all_0_38_38 = e0)
% 18.37/4.84 | (320) all_0_39_39 = e0 | all_0_41_41 = e0
% 18.37/4.84 |
% 18.37/4.84 +-Applying beta-rule and splitting (228), into two cases.
% 18.37/4.84 |-Branch one:
% 18.37/4.84 | (321) all_0_47_47 = e0
% 18.37/4.84 |
% 18.37/4.84 | Equations (321) can reduce 157 to:
% 18.37/4.84 | (322) ~ (all_0_39_39 = e0)
% 18.37/4.84 |
% 18.37/4.84 +-Applying beta-rule and splitting (320), into two cases.
% 18.37/4.84 |-Branch one:
% 18.37/4.84 | (323) all_0_39_39 = e0
% 18.37/4.84 |
% 18.37/4.84 | Equations (323) can reduce 322 to:
% 18.37/4.84 | (301) $false
% 18.37/4.84 |
% 18.37/4.84 |-The branch is then unsatisfiable
% 18.37/4.84 |-Branch two:
% 18.37/4.84 | (322) ~ (all_0_39_39 = e0)
% 18.37/4.84 | (326) all_0_41_41 = e0
% 18.37/4.84 |
% 18.37/4.84 | Equations (326) can reduce 309 to:
% 18.37/4.84 | (301) $false
% 18.37/4.84 |
% 18.37/4.84 |-The branch is then unsatisfiable
% 18.37/4.84 |-Branch two:
% 18.37/4.84 | (328) ~ (all_0_47_47 = e0)
% 18.37/4.84 | (329) all_0_48_48 = e0 | all_0_50_50 = e0
% 18.37/4.84 |
% 18.37/4.84 +-Applying beta-rule and splitting (320), into two cases.
% 18.37/4.84 |-Branch one:
% 18.37/4.84 | (323) all_0_39_39 = e0
% 18.37/4.84 |
% 18.37/4.84 +-Applying beta-rule and splitting (24), into two cases.
% 18.37/4.84 |-Branch one:
% 18.37/4.84 | (331) all_0_50_50 = e2
% 18.37/4.84 |
% 18.37/4.84 | Equations (331) can reduce 266 to:
% 18.37/4.84 | (301) $false
% 18.37/4.84 |
% 18.37/4.84 |-The branch is then unsatisfiable
% 18.37/4.84 |-Branch two:
% 18.37/4.84 | (266) ~ (all_0_50_50 = e2)
% 18.37/4.85 | (334) all_0_50_50 = e4 | all_0_50_50 = e0
% 18.37/4.85 |
% 18.37/4.85 +-Applying beta-rule and splitting (334), into two cases.
% 18.37/4.85 |-Branch one:
% 18.37/4.85 | (335) all_0_50_50 = e4
% 18.37/4.85 |
% 18.37/4.85 | Equations (335) can reduce 310 to:
% 18.37/4.85 | (43) ~ (e4 = e0)
% 18.37/4.85 |
% 18.37/4.85 +-Applying beta-rule and splitting (27), into two cases.
% 18.37/4.85 |-Branch one:
% 18.37/4.85 | (315) all_0_38_38 = e0
% 18.37/4.85 |
% 18.37/4.85 | Combining equations (294,315) yields a new equation:
% 18.37/4.85 | (316) e4 = e0
% 18.37/4.85 |
% 18.37/4.85 | Simplifying 316 yields:
% 18.37/4.85 | (317) e4 = e0
% 18.37/4.85 |
% 18.37/4.85 | Equations (317) can reduce 43 to:
% 18.37/4.85 | (301) $false
% 18.37/4.85 |
% 18.37/4.85 |-The branch is then unsatisfiable
% 18.37/4.85 |-Branch two:
% 18.37/4.85 | (319) ~ (all_0_38_38 = e0)
% 18.37/4.85 | (342) all_0_42_42 = e0 | all_0_54_54 = e0
% 18.37/4.85 |
% 18.37/4.85 | Equations (294) can reduce 319 to:
% 18.37/4.85 | (43) ~ (e4 = e0)
% 18.37/4.85 |
% 18.37/4.85 +-Applying beta-rule and splitting (102), into two cases.
% 18.37/4.85 |-Branch one:
% 18.37/4.85 | (344) all_0_39_39 = e2
% 18.37/4.85 |
% 18.37/4.85 | Combining equations (323,344) yields a new equation:
% 18.37/4.85 | (345) e2 = e0
% 18.37/4.85 |
% 18.37/4.85 | Equations (345) can reduce 133 to:
% 18.37/4.85 | (301) $false
% 18.37/4.85 |
% 18.37/4.85 |-The branch is then unsatisfiable
% 18.37/4.85 |-Branch two:
% 18.37/4.85 | (347) ~ (all_0_39_39 = e2)
% 18.37/4.85 | (348) all_0_43_43 = e2 | all_0_47_47 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2
% 18.37/4.85 |
% 18.37/4.85 | Equations (323) can reduce 347 to:
% 18.37/4.85 | (313) ~ (e2 = e0)
% 18.37/4.85 |
% 18.37/4.85 | Simplifying 313 yields:
% 18.37/4.85 | (133) ~ (e2 = e0)
% 18.37/4.85 |
% 18.37/4.85 +-Applying beta-rule and splitting (329), into two cases.
% 18.37/4.85 |-Branch one:
% 18.37/4.85 | (351) all_0_48_48 = e0
% 18.37/4.85 |
% 18.37/4.85 | Combining equations (260,351) yields a new equation:
% 18.37/4.85 | (352) e2 = e0
% 18.37/4.85 |
% 18.37/4.85 | Simplifying 352 yields:
% 18.37/4.85 | (345) e2 = e0
% 18.37/4.85 |
% 18.37/4.85 | Equations (345) can reduce 133 to:
% 18.37/4.85 | (301) $false
% 18.37/4.85 |
% 18.37/4.85 |-The branch is then unsatisfiable
% 18.37/4.85 |-Branch two:
% 18.37/4.85 | (259) ~ (all_0_48_48 = e0)
% 18.37/4.85 | (356) all_0_50_50 = e0
% 18.37/4.85 |
% 18.37/4.85 | Combining equations (356,335) yields a new equation:
% 18.37/4.85 | (317) e4 = e0
% 18.37/4.85 |
% 18.37/4.85 | Equations (317) can reduce 43 to:
% 18.37/4.85 | (301) $false
% 18.37/4.85 |
% 18.37/4.85 |-The branch is then unsatisfiable
% 18.37/4.85 |-Branch two:
% 18.37/4.85 | (359) ~ (all_0_50_50 = e4)
% 18.37/4.85 | (356) all_0_50_50 = e0
% 18.37/4.85 |
% 18.37/4.85 | Equations (356) can reduce 310 to:
% 18.37/4.85 | (301) $false
% 18.37/4.85 |
% 18.37/4.85 |-The branch is then unsatisfiable
% 18.37/4.85 |-Branch two:
% 18.37/4.85 | (322) ~ (all_0_39_39 = e0)
% 18.37/4.85 | (326) all_0_41_41 = e0
% 18.37/4.85 |
% 18.37/4.85 | Equations (326) can reduce 309 to:
% 18.37/4.85 | (301) $false
% 18.37/4.85 |
% 18.37/4.85 |-The branch is then unsatisfiable
% 18.37/4.85 |-Branch two:
% 18.37/4.85 | (365) ~ (all_0_58_58 = e0)
% 18.37/4.85 | (366) all_0_58_58 = e3
% 18.37/4.85 |
% 18.37/4.85 | Equations (366) can reduce 293 to:
% 18.37/4.85 | (301) $false
% 18.37/4.85 |
% 18.37/4.85 |-The branch is then unsatisfiable
% 18.37/4.85 |-Branch two:
% 18.37/4.85 | (304) all_0_58_58 = e4
% 18.37/4.85 | (369) all_0_54_54 = e0
% 18.37/4.85 |
% 18.37/4.85 | Equations (304) can reduce 103 to:
% 18.37/4.85 | (359) ~ (all_0_50_50 = e4)
% 18.37/4.85 |
% 18.37/4.85 | Equations (369) can reduce 144 to:
% 18.37/4.85 | (371) ~ (all_0_55_55 = e0)
% 18.37/4.85 |
% 18.37/4.85 | Simplifying 371 yields:
% 18.37/4.85 | (372) ~ (all_0_55_55 = e0)
% 18.37/4.85 |
% 18.37/4.85 | Equations (369) can reduce 190 to:
% 18.37/4.85 | (373) ~ (all_0_56_56 = e0)
% 18.37/4.85 |
% 18.37/4.85 | Simplifying 373 yields:
% 18.37/4.85 | (374) ~ (all_0_56_56 = e0)
% 18.37/4.85 |
% 18.37/4.85 | Equations (304) can reduce 116 to:
% 18.37/4.85 | (375) ~ (all_0_55_55 = e4)
% 18.37/4.85 |
% 18.37/4.85 | Equations (304) can reduce 2 to:
% 18.37/4.85 | (376) ~ (all_0_56_56 = e4)
% 18.37/4.85 |
% 18.37/4.85 | Equations (304) can reduce 5 to:
% 18.37/4.85 | (377) ~ (all_0_57_57 = e4)
% 18.37/4.85 |
% 18.37/4.85 | Equations (304) can reduce 293 to:
% 18.37/4.85 | (199) ~ (e4 = e3)
% 18.37/4.85 |
% 18.37/4.85 +-Applying beta-rule and splitting (24), into two cases.
% 18.37/4.85 |-Branch one:
% 18.37/4.85 | (331) all_0_50_50 = e2
% 18.37/4.85 |
% 18.37/4.85 | Equations (331) can reduce 266 to:
% 18.37/4.85 | (301) $false
% 18.37/4.85 |
% 18.37/4.85 |-The branch is then unsatisfiable
% 18.37/4.85 |-Branch two:
% 18.37/4.85 | (266) ~ (all_0_50_50 = e2)
% 18.37/4.85 | (334) all_0_50_50 = e4 | all_0_50_50 = e0
% 18.37/4.85 |
% 18.37/4.85 +-Applying beta-rule and splitting (47), into two cases.
% 18.37/4.85 |-Branch one:
% 18.37/4.85 | (383) all_0_44_44 = e0
% 18.37/4.85 |
% 18.37/4.85 | Equations (383) can reduce 77 to:
% 18.37/4.85 | (384) ~ (all_0_43_43 = e0)
% 18.37/4.85 |
% 18.37/4.85 +-Applying beta-rule and splitting (334), into two cases.
% 18.37/4.85 |-Branch one:
% 18.37/4.85 | (335) all_0_50_50 = e4
% 18.37/4.85 |
% 18.37/4.85 | Equations (335) can reduce 359 to:
% 18.37/4.85 | (301) $false
% 18.37/4.85 |
% 18.37/4.85 |-The branch is then unsatisfiable
% 18.37/4.85 |-Branch two:
% 18.37/4.85 | (359) ~ (all_0_50_50 = e4)
% 18.37/4.85 | (356) all_0_50_50 = e0
% 18.37/4.85 |
% 18.37/4.85 | Equations (356) can reduce 242 to:
% 18.37/4.85 | (328) ~ (all_0_47_47 = e0)
% 18.37/4.85 |
% 18.37/4.85 | Equations (356) can reduce 359 to:
% 18.37/4.85 | (311) ~ (e4 = e0)
% 18.37/4.85 |
% 18.37/4.85 | Simplifying 311 yields:
% 18.37/4.85 | (43) ~ (e4 = e0)
% 18.37/4.85 |
% 18.37/4.85 | Equations (356) can reduce 74 to:
% 18.37/4.85 | (392) ~ (e3 = e0)
% 18.37/4.85 |
% 18.37/4.85 | Simplifying 392 yields:
% 18.37/4.85 | (81) ~ (e3 = e0)
% 18.37/4.85 |
% 18.37/4.85 | Equations (356) can reduce 266 to:
% 18.37/4.85 | (313) ~ (e2 = e0)
% 18.37/4.85 |
% 18.37/4.85 | Simplifying 313 yields:
% 18.37/4.85 | (133) ~ (e2 = e0)
% 18.37/4.85 |
% 18.37/4.85 +-Applying beta-rule and splitting (143), into two cases.
% 18.37/4.85 |-Branch one:
% 18.37/4.85 | (315) all_0_38_38 = e0
% 18.37/4.85 |
% 18.37/4.85 | Combining equations (294,315) yields a new equation:
% 18.37/4.85 | (316) e4 = e0
% 18.37/4.85 |
% 18.37/4.85 | Simplifying 316 yields:
% 18.37/4.85 | (317) e4 = e0
% 18.37/4.85 |
% 18.37/4.85 | Equations (317) can reduce 43 to:
% 18.37/4.85 | (301) $false
% 18.37/4.85 |
% 18.37/4.85 |-The branch is then unsatisfiable
% 18.37/4.85 |-Branch two:
% 18.37/4.85 | (319) ~ (all_0_38_38 = e0)
% 18.37/4.85 | (320) all_0_39_39 = e0 | all_0_41_41 = e0
% 18.37/4.85 |
% 18.37/4.85 | Equations (294) can reduce 319 to:
% 18.37/4.85 | (43) ~ (e4 = e0)
% 18.37/4.85 |
% 18.37/4.85 +-Applying beta-rule and splitting (21), into two cases.
% 18.37/4.85 |-Branch one:
% 18.37/4.85 | (403) all_0_44_44 = e4
% 18.37/4.85 |
% 18.37/4.85 | Combining equations (403,383) yields a new equation:
% 18.37/4.85 | (316) e4 = e0
% 18.37/4.85 |
% 18.37/4.85 | Simplifying 316 yields:
% 18.37/4.85 | (317) e4 = e0
% 18.37/4.85 |
% 18.37/4.85 | Equations (317) can reduce 43 to:
% 18.37/4.85 | (301) $false
% 18.37/4.85 |
% 18.37/4.85 |-The branch is then unsatisfiable
% 18.37/4.85 |-Branch two:
% 18.37/4.85 | (407) ~ (all_0_44_44 = e4)
% 18.37/4.85 | (408) all_0_53_53 = e4 | all_0_56_56 = e4
% 18.37/4.85 |
% 18.37/4.85 +-Applying beta-rule and splitting (408), into two cases.
% 18.37/4.85 |-Branch one:
% 18.37/4.85 | (409) all_0_53_53 = e4
% 18.37/4.85 |
% 18.37/4.85 | Equations (409) can reduce 60 to:
% 18.37/4.85 | (410) ~ (all_0_52_52 = e4)
% 18.37/4.85 |
% 18.37/4.85 | Equations (409) can reduce 192 to:
% 18.37/4.85 | (411) ~ (all_0_56_56 = e4)
% 18.37/4.85 |
% 18.37/4.85 | Simplifying 411 yields:
% 18.37/4.85 | (376) ~ (all_0_56_56 = e4)
% 18.37/4.85 |
% 18.37/4.85 +-Applying beta-rule and splitting (230), into two cases.
% 18.37/4.85 |-Branch one:
% 18.37/4.85 | (413) all_0_44_44 = e3
% 18.37/4.85 |
% 18.37/4.85 | Combining equations (413,383) yields a new equation:
% 18.37/4.85 | (414) e3 = e0
% 18.37/4.85 |
% 18.37/4.85 | Simplifying 414 yields:
% 18.37/4.85 | (415) e3 = e0
% 18.37/4.85 |
% 18.37/4.85 | Equations (415) can reduce 81 to:
% 18.37/4.85 | (301) $false
% 18.37/4.85 |
% 18.37/4.85 |-The branch is then unsatisfiable
% 18.37/4.85 |-Branch two:
% 18.37/4.85 | (417) ~ (all_0_44_44 = e3)
% 18.37/4.85 | (418) all_0_53_53 = e3 | all_0_56_56 = e3
% 18.37/4.85 |
% 18.37/4.85 +-Applying beta-rule and splitting (418), into two cases.
% 18.37/4.85 |-Branch one:
% 18.37/4.85 | (419) all_0_53_53 = e3
% 18.37/4.85 |
% 18.37/4.85 | Combining equations (419,409) yields a new equation:
% 18.37/4.85 | (420) e4 = e3
% 18.37/4.86 |
% 18.37/4.86 | Equations (420) can reduce 199 to:
% 18.37/4.86 | (301) $false
% 18.37/4.86 |
% 18.37/4.86 |-The branch is then unsatisfiable
% 18.37/4.86 |-Branch two:
% 18.37/4.86 | (422) ~ (all_0_53_53 = e3)
% 18.37/4.86 | (423) all_0_56_56 = e3
% 18.37/4.86 |
% 18.37/4.86 | Equations (423) can reduce 243 to:
% 18.37/4.86 | (424) ~ (all_0_57_57 = e3)
% 18.37/4.86 |
% 18.37/4.86 | Simplifying 424 yields:
% 18.37/4.86 | (425) ~ (all_0_57_57 = e3)
% 18.37/4.86 |
% 18.37/4.86 | Equations (423) can reduce 376 to:
% 18.37/4.86 | (426) ~ (e4 = e3)
% 18.37/4.86 |
% 18.37/4.86 | Simplifying 426 yields:
% 18.37/4.86 | (199) ~ (e4 = e3)
% 18.37/4.86 |
% 18.37/4.86 +-Applying beta-rule and splitting (83), into two cases.
% 18.37/4.86 |-Branch one:
% 18.37/4.86 | (428) all_0_39_39 = e4
% 18.37/4.86 |
% 18.37/4.86 | Equations (428) can reduce 296 to:
% 18.37/4.86 | (301) $false
% 18.37/4.86 |
% 18.37/4.86 |-The branch is then unsatisfiable
% 18.37/4.86 |-Branch two:
% 18.37/4.86 | (296) ~ (all_0_39_39 = e4)
% 18.37/4.86 | (431) all_0_47_47 = e4 | all_0_52_52 = e4 | all_0_55_55 = e4
% 18.37/4.86 |
% 18.37/4.86 +-Applying beta-rule and splitting (6), into two cases.
% 18.37/4.86 |-Branch one:
% 18.37/4.86 | (323) all_0_39_39 = e0
% 18.37/4.86 |
% 18.37/4.86 +-Applying beta-rule and splitting (102), into two cases.
% 18.37/4.86 |-Branch one:
% 18.37/4.86 | (344) all_0_39_39 = e2
% 18.37/4.86 |
% 18.37/4.86 | Combining equations (344,323) yields a new equation:
% 18.37/4.86 | (352) e2 = e0
% 18.37/4.86 |
% 18.37/4.86 | Simplifying 352 yields:
% 18.37/4.86 | (345) e2 = e0
% 18.37/4.86 |
% 18.37/4.86 | Equations (345) can reduce 133 to:
% 18.37/4.86 | (301) $false
% 18.37/4.86 |
% 18.37/4.86 |-The branch is then unsatisfiable
% 18.37/4.86 |-Branch two:
% 18.37/4.86 | (347) ~ (all_0_39_39 = e2)
% 18.37/4.86 | (348) all_0_43_43 = e2 | all_0_47_47 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2
% 18.37/4.86 |
% 18.37/4.86 +-Applying beta-rule and splitting (348), into two cases.
% 18.37/4.86 |-Branch one:
% 18.37/4.86 | (439) all_0_43_43 = e2
% 18.37/4.86 |
% 18.37/4.86 | Equations (439) can reduce 275 to:
% 18.37/4.86 | (301) $false
% 18.37/4.86 |
% 18.37/4.86 |-The branch is then unsatisfiable
% 18.37/4.86 |-Branch two:
% 18.37/4.86 | (275) ~ (all_0_43_43 = e2)
% 18.37/4.86 | (442) all_0_47_47 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2
% 18.37/4.86 |
% 18.37/4.86 +-Applying beta-rule and splitting (442), into two cases.
% 18.37/4.86 |-Branch one:
% 18.37/4.86 | (443) all_0_47_47 = e2
% 18.37/4.86 |
% 18.37/4.86 | Equations (443) can reduce 262 to:
% 18.37/4.86 | (301) $false
% 18.37/4.86 |
% 18.37/4.86 |-The branch is then unsatisfiable
% 18.37/4.86 |-Branch two:
% 18.37/4.86 | (262) ~ (all_0_47_47 = e2)
% 18.37/4.86 | (446) all_0_52_52 = e2 | all_0_55_55 = e2
% 18.37/4.86 |
% 18.37/4.86 +-Applying beta-rule and splitting (446), into two cases.
% 18.37/4.86 |-Branch one:
% 18.37/4.86 | (447) all_0_52_52 = e2
% 18.37/4.86 |
% 18.37/4.86 | Equations (447) can reduce 279 to:
% 18.37/4.86 | (301) $false
% 18.37/4.86 |
% 18.37/4.86 |-The branch is then unsatisfiable
% 18.37/4.86 |-Branch two:
% 18.37/4.86 | (279) ~ (all_0_52_52 = e2)
% 18.37/4.86 | (450) all_0_55_55 = e2
% 18.37/4.86 |
% 18.37/4.86 | Equations (450) can reduce 20 to:
% 18.37/4.86 | (451) ~ (all_0_57_57 = e2)
% 18.37/4.86 |
% 18.37/4.86 | Simplifying 451 yields:
% 18.37/4.86 | (452) ~ (all_0_57_57 = e2)
% 18.37/4.86 |
% 18.37/4.86 | Equations (450) can reduce 375 to:
% 18.37/4.86 | (271) ~ (e4 = e2)
% 18.37/4.86 |
% 18.37/4.86 | Simplifying 271 yields:
% 18.37/4.86 | (42) ~ (e4 = e2)
% 18.37/4.86 |
% 18.37/4.86 +-Applying beta-rule and splitting (201), into two cases.
% 18.37/4.86 |-Branch one:
% 18.37/4.86 | (455) all_0_52_52 = e3
% 18.37/4.86 |
% 18.37/4.86 | Equations (455) can reduce 410 to:
% 18.37/4.86 | (426) ~ (e4 = e3)
% 18.37/4.86 |
% 18.37/4.86 | Simplifying 426 yields:
% 18.37/4.86 | (199) ~ (e4 = e3)
% 18.37/4.86 |
% 18.37/4.86 +-Applying beta-rule and splitting (19), into two cases.
% 18.37/4.86 |-Branch one:
% 18.37/4.86 | (458) all_0_57_57 = e2
% 18.37/4.86 |
% 18.37/4.86 | Equations (458) can reduce 452 to:
% 18.37/4.86 | (301) $false
% 18.37/4.86 |
% 18.37/4.86 |-The branch is then unsatisfiable
% 18.37/4.86 |-Branch two:
% 18.37/4.86 | (452) ~ (all_0_57_57 = e2)
% 18.37/4.86 | (461) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e1
% 18.37/4.86 |
% 18.37/4.86 +-Applying beta-rule and splitting (431), into two cases.
% 18.37/4.86 |-Branch one:
% 18.37/4.86 | (462) all_0_47_47 = e4
% 18.37/4.86 |
% 18.37/4.86 | Equations (462) can reduce 93 to:
% 18.37/4.86 | (463) ~ (all_0_49_49 = e4)
% 18.37/4.86 |
% 18.37/4.86 | Simplifying 463 yields:
% 18.37/4.86 | (464) ~ (all_0_49_49 = e4)
% 18.37/4.86 |
% 18.37/4.86 +-Applying beta-rule and splitting (233), into two cases.
% 18.37/4.86 |-Branch one:
% 18.37/4.86 | (465) all_0_40_40 = e4
% 18.37/4.86 |
% 18.37/4.86 | Equations (465) can reduce 298 to:
% 18.37/4.86 | (301) $false
% 18.37/4.86 |
% 18.37/4.86 |-The branch is then unsatisfiable
% 18.37/4.86 |-Branch two:
% 18.37/4.86 | (298) ~ (all_0_40_40 = e4)
% 18.37/4.86 | (468) all_0_45_45 = e4 | all_0_49_49 = e4 | all_0_57_57 = e4
% 18.37/4.86 |
% 18.37/4.86 +-Applying beta-rule and splitting (461), into two cases.
% 18.37/4.86 |-Branch one:
% 18.37/4.86 | (469) all_0_57_57 = e4
% 18.37/4.86 |
% 18.37/4.86 | Equations (469) can reduce 377 to:
% 18.37/4.86 | (301) $false
% 18.37/4.86 |
% 18.37/4.86 |-The branch is then unsatisfiable
% 18.37/4.86 |-Branch two:
% 18.37/4.86 | (377) ~ (all_0_57_57 = e4)
% 18.37/4.86 | (472) all_0_57_57 = e3 | all_0_57_57 = e1
% 18.37/4.86 |
% 18.37/4.86 +-Applying beta-rule and splitting (472), into two cases.
% 18.37/4.86 |-Branch one:
% 18.80/4.86 | (473) all_0_57_57 = e3
% 18.80/4.86 |
% 18.80/4.86 | Equations (473) can reduce 425 to:
% 18.80/4.86 | (301) $false
% 18.80/4.86 |
% 18.80/4.86 |-The branch is then unsatisfiable
% 18.80/4.86 |-Branch two:
% 18.80/4.86 | (425) ~ (all_0_57_57 = e3)
% 18.80/4.86 | (476) all_0_57_57 = e1
% 18.80/4.86 |
% 18.80/4.86 | Equations (476) can reduce 75 to:
% 18.80/4.86 | (477) ~ (all_0_45_45 = e1)
% 18.80/4.86 |
% 18.80/4.86 | Equations (476) can reduce 94 to:
% 18.80/4.86 | (478) ~ (all_0_49_49 = e1)
% 18.80/4.86 |
% 18.80/4.86 | Equations (476) can reduce 377 to:
% 18.80/4.86 | (479) ~ (e4 = e1)
% 18.80/4.86 |
% 18.80/4.86 | Simplifying 479 yields:
% 18.80/4.86 | (114) ~ (e4 = e1)
% 18.80/4.86 |
% 18.80/4.86 +-Applying beta-rule and splitting (468), into two cases.
% 18.80/4.86 |-Branch one:
% 18.80/4.86 | (481) all_0_45_45 = e4
% 18.80/4.86 |
% 18.80/4.86 | Equations (481) can reduce 477 to:
% 18.80/4.86 | (114) ~ (e4 = e1)
% 18.80/4.86 |
% 18.80/4.86 +-Applying beta-rule and splitting (209), into two cases.
% 18.80/4.86 |-Branch one:
% 18.80/4.86 | (483) all_0_47_47 = e1
% 18.80/4.86 |
% 18.80/4.86 | Combining equations (483,462) yields a new equation:
% 18.80/4.86 | (484) e4 = e1
% 18.80/4.86 |
% 18.80/4.86 | Equations (484) can reduce 114 to:
% 18.80/4.86 | (301) $false
% 18.80/4.86 |
% 18.80/4.86 |-The branch is then unsatisfiable
% 18.80/4.86 |-Branch two:
% 18.80/4.86 | (486) ~ (all_0_47_47 = e1)
% 18.80/4.86 | (487) all_0_49_49 = e1
% 18.80/4.86 |
% 18.80/4.86 | Equations (487) can reduce 478 to:
% 18.80/4.86 | (301) $false
% 18.80/4.86 |
% 18.80/4.86 |-The branch is then unsatisfiable
% 18.80/4.86 |-Branch two:
% 18.80/4.86 | (489) ~ (all_0_45_45 = e4)
% 18.80/4.86 | (490) all_0_49_49 = e4 | all_0_57_57 = e4
% 18.80/4.86 |
% 18.80/4.86 +-Applying beta-rule and splitting (490), into two cases.
% 18.80/4.86 |-Branch one:
% 18.80/4.86 | (491) all_0_49_49 = e4
% 18.80/4.86 |
% 18.80/4.86 | Equations (491) can reduce 464 to:
% 18.80/4.86 | (301) $false
% 18.80/4.86 |
% 18.80/4.86 |-The branch is then unsatisfiable
% 18.80/4.86 |-Branch two:
% 18.80/4.86 | (464) ~ (all_0_49_49 = e4)
% 18.80/4.86 | (469) all_0_57_57 = e4
% 18.80/4.86 |
% 18.80/4.86 | Combining equations (476,469) yields a new equation:
% 18.80/4.86 | (484) e4 = e1
% 18.80/4.86 |
% 18.80/4.86 | Equations (484) can reduce 114 to:
% 18.80/4.86 | (301) $false
% 18.80/4.86 |
% 18.80/4.86 |-The branch is then unsatisfiable
% 18.80/4.86 |-Branch two:
% 18.80/4.86 | (497) ~ (all_0_47_47 = e4)
% 18.80/4.86 | (498) all_0_52_52 = e4 | all_0_55_55 = e4
% 18.80/4.86 |
% 18.80/4.86 +-Applying beta-rule and splitting (498), into two cases.
% 18.80/4.86 |-Branch one:
% 18.80/4.86 | (499) all_0_52_52 = e4
% 18.80/4.86 |
% 18.80/4.86 | Combining equations (455,499) yields a new equation:
% 18.80/4.86 | (420) e4 = e3
% 18.80/4.86 |
% 18.80/4.86 | Equations (420) can reduce 199 to:
% 18.80/4.86 | (301) $false
% 18.80/4.86 |
% 18.80/4.86 |-The branch is then unsatisfiable
% 18.80/4.86 |-Branch two:
% 18.80/4.86 | (410) ~ (all_0_52_52 = e4)
% 18.80/4.86 | (503) all_0_55_55 = e4
% 18.80/4.86 |
% 18.80/4.86 | Combining equations (450,503) yields a new equation:
% 18.80/4.86 | (504) e4 = e2
% 18.80/4.86 |
% 18.80/4.86 | Equations (504) can reduce 42 to:
% 18.80/4.86 | (301) $false
% 18.80/4.86 |
% 18.80/4.86 |-The branch is then unsatisfiable
% 18.80/4.86 |-Branch two:
% 18.80/4.86 | (506) ~ (all_0_52_52 = e3)
% 18.80/4.86 | (419) all_0_53_53 = e3
% 18.80/4.86 |
% 18.80/4.86 | Combining equations (409,419) yields a new equation:
% 18.80/4.86 | (508) e4 = e3
% 18.80/4.86 |
% 18.80/4.87 | Simplifying 508 yields:
% 18.80/4.87 | (420) e4 = e3
% 18.80/4.87 |
% 18.80/4.87 | Equations (420) can reduce 199 to:
% 18.80/4.87 | (301) $false
% 18.80/4.87 |
% 18.80/4.87 |-The branch is then unsatisfiable
% 18.80/4.87 |-Branch two:
% 18.80/4.87 | (322) ~ (all_0_39_39 = e0)
% 18.80/4.87 | (512) all_0_43_43 = e0 | all_0_47_47 = e0 | all_0_55_55 = e0
% 18.80/4.87 |
% 18.80/4.87 +-Applying beta-rule and splitting (512), into two cases.
% 18.80/4.87 |-Branch one:
% 18.80/4.87 | (513) all_0_43_43 = e0
% 18.80/4.87 |
% 18.80/4.87 | Equations (513) can reduce 384 to:
% 18.80/4.87 | (301) $false
% 18.80/4.87 |
% 18.80/4.87 |-The branch is then unsatisfiable
% 18.80/4.87 |-Branch two:
% 18.80/4.87 | (384) ~ (all_0_43_43 = e0)
% 18.80/4.87 | (516) all_0_47_47 = e0 | all_0_55_55 = e0
% 18.80/4.87 |
% 18.80/4.87 +-Applying beta-rule and splitting (516), into two cases.
% 18.80/4.87 |-Branch one:
% 18.80/4.87 | (321) all_0_47_47 = e0
% 18.80/4.87 |
% 18.80/4.87 | Equations (321) can reduce 328 to:
% 18.80/4.87 | (301) $false
% 18.80/4.87 |
% 18.80/4.87 |-The branch is then unsatisfiable
% 18.80/4.87 |-Branch two:
% 18.80/4.87 | (328) ~ (all_0_47_47 = e0)
% 18.80/4.87 | (520) all_0_55_55 = e0
% 18.80/4.87 |
% 18.80/4.87 | Equations (520) can reduce 372 to:
% 18.80/4.87 | (301) $false
% 18.80/4.87 |
% 18.80/4.87 |-The branch is then unsatisfiable
% 18.80/4.87 |-Branch two:
% 18.80/4.87 | (522) ~ (all_0_53_53 = e4)
% 18.80/4.87 | (523) all_0_56_56 = e4
% 18.80/4.87 |
% 18.80/4.87 | Equations (523) can reduce 376 to:
% 18.80/4.87 | (301) $false
% 18.80/4.87 |
% 18.80/4.87 |-The branch is then unsatisfiable
% 18.80/4.87 |-Branch two:
% 18.80/4.87 | (525) ~ (all_0_44_44 = e0)
% 18.80/4.87 | (526) all_0_48_48 = e0 | all_0_56_56 = e0
% 18.80/4.87 |
% 18.80/4.87 +-Applying beta-rule and splitting (334), into two cases.
% 18.80/4.87 |-Branch one:
% 18.80/4.87 | (335) all_0_50_50 = e4
% 18.80/4.87 |
% 18.80/4.87 | Equations (335) can reduce 359 to:
% 18.80/4.87 | (301) $false
% 18.80/4.87 |
% 18.80/4.87 |-The branch is then unsatisfiable
% 18.80/4.87 |-Branch two:
% 18.80/4.87 | (359) ~ (all_0_50_50 = e4)
% 18.80/4.87 | (356) all_0_50_50 = e0
% 18.80/4.87 |
% 18.80/4.87 | Equations (356) can reduce 266 to:
% 18.80/4.87 | (313) ~ (e2 = e0)
% 18.80/4.87 |
% 18.80/4.87 | Simplifying 313 yields:
% 18.80/4.87 | (133) ~ (e2 = e0)
% 18.80/4.87 |
% 18.80/4.87 +-Applying beta-rule and splitting (526), into two cases.
% 18.80/4.87 |-Branch one:
% 18.80/4.87 | (351) all_0_48_48 = e0
% 18.80/4.87 |
% 18.80/4.87 | Combining equations (260,351) yields a new equation:
% 18.80/4.87 | (352) e2 = e0
% 18.80/4.87 |
% 18.80/4.87 | Simplifying 352 yields:
% 18.80/4.87 | (345) e2 = e0
% 18.80/4.87 |
% 18.80/4.87 | Equations (345) can reduce 133 to:
% 18.80/4.87 | (301) $false
% 18.80/4.87 |
% 18.80/4.87 |-The branch is then unsatisfiable
% 18.80/4.87 |-Branch two:
% 18.80/4.87 | (259) ~ (all_0_48_48 = e0)
% 18.80/4.87 | (538) all_0_56_56 = e0
% 18.80/4.87 |
% 18.80/4.87 | Equations (538) can reduce 374 to:
% 18.80/4.87 | (301) $false
% 18.80/4.87 |
% 18.80/4.87 |-The branch is then unsatisfiable
% 18.80/4.87 |-Branch two:
% 18.80/4.87 | (540) ~ (all_0_38_38 = e4)
% 18.80/4.87 | (315) all_0_38_38 = e0
% 18.80/4.87 |
% 18.80/4.87 +-Applying beta-rule and splitting (170), into two cases.
% 18.80/4.87 |-Branch one:
% 18.80/4.87 | (319) ~ (all_0_38_38 = e0)
% 18.80/4.87 |
% 18.80/4.87 | Equations (315) can reduce 319 to:
% 18.80/4.87 | (301) $false
% 18.80/4.87 |
% 18.80/4.87 |-The branch is then unsatisfiable
% 18.80/4.87 |-Branch two:
% 18.80/4.87 | (315) all_0_38_38 = e0
% 18.80/4.87 | (545) all_0_41_41 = e4
% 18.80/4.87 |
% 18.80/4.87 | Equations (545) can reduce 210 to:
% 18.80/4.87 | (546) ~ (all_0_50_50 = e4)
% 18.80/4.87 |
% 18.80/4.87 | Simplifying 546 yields:
% 18.80/4.87 | (359) ~ (all_0_50_50 = e4)
% 18.80/4.87 |
% 18.80/4.87 +-Applying beta-rule and splitting (24), into two cases.
% 18.80/4.87 |-Branch one:
% 18.80/4.87 | (331) all_0_50_50 = e2
% 18.80/4.87 |
% 18.80/4.87 | Equations (331) can reduce 266 to:
% 18.80/4.87 | (301) $false
% 18.80/4.87 |
% 18.80/4.87 |-The branch is then unsatisfiable
% 18.80/4.87 |-Branch two:
% 18.80/4.87 | (266) ~ (all_0_50_50 = e2)
% 18.80/4.87 | (334) all_0_50_50 = e4 | all_0_50_50 = e0
% 18.80/4.87 |
% 18.80/4.87 +-Applying beta-rule and splitting (161), into two cases.
% 18.80/4.87 |-Branch one:
% 18.80/4.87 | (552) all_0_41_41 = e2
% 18.80/4.87 |
% 18.80/4.87 | Combining equations (545,552) yields a new equation:
% 18.80/4.87 | (553) e4 = e2
% 18.80/4.87 |
% 18.80/4.87 | Simplifying 553 yields:
% 18.80/4.87 | (504) e4 = e2
% 18.80/4.87 |
% 18.80/4.87 | Equations (504) can reduce 42 to:
% 18.80/4.87 | (301) $false
% 18.80/4.87 |
% 18.80/4.87 |-The branch is then unsatisfiable
% 18.80/4.87 |-Branch two:
% 18.80/4.87 | (556) ~ (all_0_41_41 = e2)
% 18.80/4.87 | (557) all_0_46_46 = e2 | all_0_50_50 = e2 | all_0_58_58 = e2
% 18.80/4.87 |
% 18.80/4.87 +-Applying beta-rule and splitting (334), into two cases.
% 18.80/4.87 |-Branch one:
% 18.80/4.87 | (335) all_0_50_50 = e4
% 18.80/4.87 |
% 18.80/4.87 | Equations (335) can reduce 359 to:
% 18.80/4.87 | (301) $false
% 18.80/4.87 |
% 18.80/4.87 |-The branch is then unsatisfiable
% 18.80/4.87 |-Branch two:
% 18.80/4.87 | (359) ~ (all_0_50_50 = e4)
% 18.80/4.87 | (356) all_0_50_50 = e0
% 18.80/4.87 |
% 18.80/4.87 | Equations (356) can reduce 266 to:
% 18.80/4.87 | (313) ~ (e2 = e0)
% 18.80/4.87 |
% 18.80/4.87 | Simplifying 313 yields:
% 18.80/4.87 | (133) ~ (e2 = e0)
% 18.80/4.87 |
% 18.80/4.87 +-Applying beta-rule and splitting (214), into two cases.
% 18.80/4.87 |-Branch one:
% 18.80/4.87 | (564) all_0_41_41 = e3
% 18.80/4.87 |
% 18.80/4.87 | Combining equations (545,564) yields a new equation:
% 18.80/4.87 | (508) e4 = e3
% 18.80/4.87 |
% 18.80/4.87 | Simplifying 508 yields:
% 18.80/4.87 | (420) e4 = e3
% 18.80/4.87 |
% 18.80/4.87 | Equations (420) can reduce 199 to:
% 18.80/4.87 | (301) $false
% 18.80/4.87 |
% 18.80/4.87 |-The branch is then unsatisfiable
% 18.80/4.87 |-Branch two:
% 18.80/4.87 | (568) ~ (all_0_41_41 = e3)
% 18.80/4.87 | (569) all_0_46_46 = e3 | all_0_58_58 = e3
% 18.80/4.87 |
% 18.80/4.87 +-Applying beta-rule and splitting (569), into two cases.
% 18.80/4.87 |-Branch one:
% 18.80/4.87 | (570) all_0_46_46 = e3
% 18.80/4.87 |
% 18.80/4.87 +-Applying beta-rule and splitting (557), into two cases.
% 18.80/4.87 |-Branch one:
% 18.80/4.87 | (571) all_0_46_46 = e2
% 18.80/4.87 |
% 18.80/4.87 | Combining equations (570,571) yields a new equation:
% 18.80/4.87 | (572) e3 = e2
% 18.80/4.87 |
% 18.80/4.87 | Simplifying 572 yields:
% 18.80/4.87 | (573) e3 = e2
% 18.80/4.87 |
% 18.80/4.87 | Equations (573) can reduce 231 to:
% 18.80/4.87 | (301) $false
% 18.80/4.87 |
% 18.80/4.87 |-The branch is then unsatisfiable
% 18.80/4.87 |-Branch two:
% 18.80/4.87 | (575) ~ (all_0_46_46 = e2)
% 18.80/4.87 | (576) all_0_50_50 = e2 | all_0_58_58 = e2
% 18.80/4.87 |
% 18.80/4.87 +-Applying beta-rule and splitting (576), into two cases.
% 18.80/4.87 |-Branch one:
% 18.80/4.87 | (331) all_0_50_50 = e2
% 18.80/4.87 |
% 18.80/4.87 | Combining equations (356,331) yields a new equation:
% 18.80/4.87 | (345) e2 = e0
% 18.80/4.87 |
% 18.80/4.87 | Equations (345) can reduce 133 to:
% 18.80/4.87 | (301) $false
% 18.80/4.87 |
% 18.80/4.87 |-The branch is then unsatisfiable
% 18.80/4.87 |-Branch two:
% 18.80/4.87 | (266) ~ (all_0_50_50 = e2)
% 18.80/4.87 | (300) all_0_58_58 = e2
% 18.80/4.87 |
% 18.80/4.87 | Equations (300) can reduce 274 to:
% 18.80/4.87 | (301) $false
% 18.80/4.87 |
% 18.80/4.87 |-The branch is then unsatisfiable
% 18.80/4.87 |-Branch two:
% 18.80/4.87 | (583) ~ (all_0_46_46 = e3)
% 18.80/4.87 | (366) all_0_58_58 = e3
% 18.80/4.87 |
% 18.80/4.87 | Equations (366) can reduce 293 to:
% 18.80/4.87 | (301) $false
% 18.80/4.87 |
% 18.80/4.87 |-The branch is then unsatisfiable
% 18.80/4.87 |-Branch two:
% 18.80/4.87 | (366) all_0_58_58 = e3
% 18.80/4.87 | (520) all_0_55_55 = e0
% 18.80/4.87 |
% 18.80/4.87 | Equations (520) can reduce 250 to:
% 18.80/4.87 | (322) ~ (all_0_39_39 = e0)
% 18.80/4.87 |
% 18.80/4.87 | Equations (366) can reduce 224 to:
% 18.80/4.87 | (568) ~ (all_0_41_41 = e3)
% 18.80/4.87 |
% 18.80/4.87 | Equations (520) can reduce 153 to:
% 18.80/4.87 | (328) ~ (all_0_47_47 = e0)
% 18.80/4.87 |
% 18.80/4.87 | Equations (366) can reduce 103 to:
% 18.80/4.87 | (74) ~ (all_0_50_50 = e3)
% 18.80/4.87 |
% 18.80/4.87 | Equations (520) can reduce 194 to:
% 18.80/4.87 | (373) ~ (all_0_56_56 = e0)
% 18.80/4.87 |
% 18.80/4.87 | Simplifying 373 yields:
% 18.80/4.87 | (374) ~ (all_0_56_56 = e0)
% 18.80/4.87 |
% 18.80/4.87 | Equations (520) can reduce 20 to:
% 18.80/4.87 | (594) ~ (all_0_57_57 = e0)
% 18.80/4.87 |
% 18.80/4.87 | Simplifying 594 yields:
% 18.80/4.87 | (189) ~ (all_0_57_57 = e0)
% 18.80/4.87 |
% 18.80/4.87 | Equations (366) can reduce 2 to:
% 18.80/4.87 | (596) ~ (all_0_56_56 = e3)
% 18.80/4.87 |
% 18.80/4.87 | Equations (366) can reduce 5 to:
% 18.80/4.88 | (425) ~ (all_0_57_57 = e3)
% 18.80/4.88 |
% 18.80/4.88 | From (520) and (188) follows:
% 18.80/4.88 | (598) op(e0, e0) = all_0_31_31
% 18.80/4.88 |
% 18.80/4.88 | From (366) and (225) follows:
% 18.80/4.88 | (599) op(e0, e0) = e3
% 18.80/4.88 |
% 18.80/4.88 +-Applying beta-rule and splitting (89), into two cases.
% 18.80/4.88 |-Branch one:
% 18.80/4.88 | (600) all_0_54_54 = e2
% 18.80/4.88 |
% 18.80/4.88 | Equations (600) can reduce 283 to:
% 18.80/4.88 | (301) $false
% 18.80/4.88 |
% 18.80/4.88 |-The branch is then unsatisfiable
% 18.80/4.88 |-Branch two:
% 18.80/4.88 | (283) ~ (all_0_54_54 = e2)
% 18.80/4.88 | (603) all_0_55_55 = e2 | all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2
% 18.80/4.88 |
% 18.80/4.88 +-Applying beta-rule and splitting (228), into two cases.
% 18.80/4.88 |-Branch one:
% 18.80/4.88 | (321) all_0_47_47 = e0
% 18.80/4.88 |
% 18.80/4.88 | Equations (321) can reduce 328 to:
% 18.80/4.88 | (301) $false
% 18.80/4.88 |
% 18.80/4.88 |-The branch is then unsatisfiable
% 18.80/4.88 |-Branch two:
% 18.80/4.88 | (328) ~ (all_0_47_47 = e0)
% 18.80/4.88 | (329) all_0_48_48 = e0 | all_0_50_50 = e0
% 18.80/4.88 |
% 18.80/4.88 +-Applying beta-rule and splitting (329), into two cases.
% 18.80/4.88 |-Branch one:
% 18.80/4.88 | (351) all_0_48_48 = e0
% 18.80/4.88 |
% 18.80/4.88 | Combining equations (260,351) yields a new equation:
% 18.80/4.88 | (352) e2 = e0
% 18.80/4.88 |
% 18.80/4.88 | Simplifying 352 yields:
% 18.80/4.88 | (345) e2 = e0
% 18.80/4.88 |
% 18.80/4.88 | Equations (345) can reduce 133 to:
% 18.80/4.88 | (301) $false
% 18.80/4.88 |
% 18.80/4.88 |-The branch is then unsatisfiable
% 18.80/4.88 |-Branch two:
% 18.80/4.88 | (259) ~ (all_0_48_48 = e0)
% 18.80/4.88 | (356) all_0_50_50 = e0
% 18.80/4.88 |
% 18.80/4.88 | Equations (356) can reduce 210 to:
% 18.80/4.88 | (309) ~ (all_0_41_41 = e0)
% 18.80/4.88 |
% 18.80/4.88 | Equations (356) can reduce 74 to:
% 18.80/4.88 | (392) ~ (e3 = e0)
% 18.80/4.88 |
% 18.80/4.88 | Simplifying 392 yields:
% 18.80/4.88 | (81) ~ (e3 = e0)
% 18.80/4.88 |
% 18.80/4.88 | Equations (356) can reduce 266 to:
% 18.80/4.88 | (313) ~ (e2 = e0)
% 18.80/4.88 |
% 18.80/4.88 | Simplifying 313 yields:
% 18.80/4.88 | (133) ~ (e2 = e0)
% 18.80/4.88 |
% 18.80/4.88 | From (356) and (152) follows:
% 18.80/4.88 | (619) op(e0, e0) = all_0_22_22
% 18.80/4.88 |
% 18.80/4.88 | From (356) and (131) follows:
% 18.80/4.88 | (620) op(e2, e0) = e0
% 18.80/4.88 |
% 18.80/4.88 +-Applying beta-rule and splitting (47), into two cases.
% 18.80/4.88 |-Branch one:
% 18.80/4.88 | (383) all_0_44_44 = e0
% 18.80/4.88 |
% 18.80/4.88 | Equations (383) can reduce 38 to:
% 18.80/4.88 | (622) ~ (all_0_45_45 = e0)
% 18.80/4.88 |
% 18.80/4.88 | Simplifying 622 yields:
% 18.80/4.88 | (163) ~ (all_0_45_45 = e0)
% 18.80/4.88 |
% 18.80/4.88 | Equations (383) can reduce 18 to:
% 18.80/4.88 | (624) ~ (all_0_46_46 = e0)
% 18.80/4.88 |
% 18.80/4.88 | Simplifying 624 yields:
% 18.80/4.88 | (625) ~ (all_0_46_46 = e0)
% 18.80/4.88 |
% 18.80/4.88 | Equations (383) can reduce 124 to:
% 18.80/4.88 | (373) ~ (all_0_56_56 = e0)
% 18.80/4.88 |
% 18.80/4.88 | Simplifying 373 yields:
% 18.80/4.88 | (374) ~ (all_0_56_56 = e0)
% 18.80/4.88 |
% 18.80/4.88 | Equations (383) can reduce 261 to:
% 18.80/4.88 | (313) ~ (e2 = e0)
% 18.80/4.88 |
% 18.80/4.88 | Simplifying 313 yields:
% 18.80/4.88 | (133) ~ (e2 = e0)
% 18.80/4.88 |
% 18.80/4.88 | From (383) and (185) follows:
% 18.80/4.88 | (630) op(e0, e2) = all_0_11_11
% 18.80/4.88 |
% 18.80/4.88 | From (383) and (165) follows:
% 18.80/4.88 | (631) op(e3, e2) = e0
% 18.80/4.88 |
% 18.80/4.88 +-Applying beta-rule and splitting (230), into two cases.
% 18.80/4.88 |-Branch one:
% 18.80/4.88 | (413) all_0_44_44 = e3
% 18.80/4.88 |
% 18.80/4.88 | Combining equations (383,413) yields a new equation:
% 18.80/4.88 | (415) e3 = e0
% 18.80/4.88 |
% 18.80/4.88 | Equations (415) can reduce 81 to:
% 18.80/4.88 | (301) $false
% 18.80/4.88 |
% 18.80/4.88 |-The branch is then unsatisfiable
% 18.80/4.88 |-Branch two:
% 18.80/4.88 | (417) ~ (all_0_44_44 = e3)
% 18.80/4.88 | (418) all_0_53_53 = e3 | all_0_56_56 = e3
% 18.80/4.88 |
% 18.80/4.88 +-Applying beta-rule and splitting (179), into two cases.
% 18.80/4.88 |-Branch one:
% 18.80/4.88 | (637) all_0_56_56 = e2
% 18.80/4.88 |
% 18.80/4.88 | Equations (637) can reduce 270 to:
% 18.80/4.88 | (301) $false
% 18.80/4.88 |
% 18.80/4.88 |-The branch is then unsatisfiable
% 18.80/4.88 |-Branch two:
% 18.80/4.88 | (270) ~ (all_0_56_56 = e2)
% 18.80/4.88 | (640) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0
% 18.80/4.88 |
% 18.80/4.88 +-Applying beta-rule and splitting (640), into two cases.
% 18.80/4.88 |-Branch one:
% 18.80/4.88 | (523) all_0_56_56 = e4
% 18.80/4.88 |
% 18.80/4.88 | Equations (523) can reduce 192 to:
% 18.80/4.88 | (522) ~ (all_0_53_53 = e4)
% 18.80/4.88 |
% 18.80/4.88 | Equations (523) can reduce 190 to:
% 18.80/4.88 | (643) ~ (all_0_54_54 = e4)
% 18.80/4.88 |
% 18.80/4.88 | Equations (523) can reduce 243 to:
% 18.80/4.88 | (644) ~ (all_0_57_57 = e4)
% 18.80/4.88 |
% 18.80/4.88 | Simplifying 644 yields:
% 18.80/4.88 | (377) ~ (all_0_57_57 = e4)
% 18.80/4.88 |
% 18.80/4.88 | Equations (523) can reduce 596 to:
% 18.80/4.88 | (199) ~ (e4 = e3)
% 18.80/4.88 |
% 18.80/4.88 | Equations (523) can reduce 270 to:
% 18.80/4.88 | (42) ~ (e4 = e2)
% 18.80/4.88 |
% 18.80/4.88 | From (523) and (202) follows:
% 18.80/4.88 | (648) op(e4, e2) = all_0_34_34
% 18.80/4.88 |
% 18.80/4.88 | From (523) and (182) follows:
% 18.80/4.88 | (649) op(e0, e2) = e4
% 18.80/4.88 |
% 18.80/4.88 +-Applying beta-rule and splitting (57), into two cases.
% 18.80/4.88 |-Branch one:
% 18.80/4.88 | (600) all_0_54_54 = e2
% 18.80/4.88 |
% 18.80/4.88 | Equations (600) can reduce 283 to:
% 18.80/4.88 | (301) $false
% 18.80/4.88 |
% 18.80/4.88 |-The branch is then unsatisfiable
% 18.80/4.88 |-Branch two:
% 18.80/4.88 | (283) ~ (all_0_54_54 = e2)
% 18.80/4.88 | (653) all_0_54_54 = e4 | all_0_54_54 = e1 | all_0_54_54 = e0
% 18.80/4.88 |
% 18.80/4.88 +-Applying beta-rule and splitting (246), into two cases.
% 18.80/4.88 |-Branch one:
% 18.80/4.88 | (654) all_0_51_51 = e4
% 18.80/4.88 |
% 18.80/4.88 | Combining equations (276,654) yields a new equation:
% 18.80/4.88 | (504) e4 = e2
% 18.80/4.88 |
% 18.80/4.88 | Equations (504) can reduce 42 to:
% 18.80/4.88 | (301) $false
% 18.80/4.88 |
% 18.80/4.88 |-The branch is then unsatisfiable
% 18.80/4.88 |-Branch two:
% 18.80/4.88 | (657) ~ (all_0_51_51 = e4)
% 18.80/4.88 | (658) all_0_52_52 = e4 | all_0_53_53 = e4
% 18.80/4.88 |
% 18.80/4.88 +-Applying beta-rule and splitting (658), into two cases.
% 18.80/4.88 |-Branch one:
% 18.80/4.88 | (499) all_0_52_52 = e4
% 18.80/4.88 |
% 18.80/4.88 | Equations (499) can reduce 240 to:
% 18.80/4.88 | (64) ~ (all_0_43_43 = e4)
% 18.80/4.88 |
% 18.80/4.88 | Equations (499) can reduce 279 to:
% 18.80/4.88 | (42) ~ (e4 = e2)
% 18.80/4.88 |
% 18.80/4.88 | From (499) and (218) follows:
% 18.80/4.88 | (662) op(e4, e3) = all_0_26_26
% 18.80/4.88 |
% 18.80/4.88 | From (499) and (236) follows:
% 18.80/4.88 | (663) op(e4, e1) = all_0_25_25
% 18.80/4.88 |
% 18.80/4.88 | From (499) and (107) follows:
% 18.80/4.88 | (664) op(e1, e3) = e4
% 18.80/4.88 |
% 18.80/4.88 +-Applying beta-rule and splitting (102), into two cases.
% 18.80/4.88 |-Branch one:
% 18.80/4.88 | (344) all_0_39_39 = e2
% 18.80/4.88 |
% 18.80/4.88 | Equations (344) can reduce 3 to:
% 18.80/4.88 | (226) ~ (all_0_38_38 = e2)
% 18.80/4.88 |
% 18.80/4.88 | Equations (344) can reduce 155 to:
% 18.80/4.88 | (667) ~ (all_0_43_43 = e2)
% 18.80/4.88 |
% 18.80/4.88 | Simplifying 667 yields:
% 18.80/4.88 | (275) ~ (all_0_43_43 = e2)
% 18.80/4.88 |
% 18.80/4.88 | Equations (344) can reduce 322 to:
% 18.80/4.88 | (133) ~ (e2 = e0)
% 18.80/4.88 |
% 18.80/4.88 | From (344) and (112) follows:
% 18.80/4.88 | (670) op(e2, e3) = all_0_2_2
% 18.80/4.88 |
% 18.80/4.88 | From (344) and (154) follows:
% 18.80/4.88 | (671) op(e4, e3) = e2
% 18.80/4.88 |
% 18.80/4.88 +-Applying beta-rule and splitting (418), into two cases.
% 18.80/4.88 |-Branch one:
% 18.80/4.88 | (419) all_0_53_53 = e3
% 18.80/4.88 |
% 18.80/4.88 | Equations (419) can reduce 268 to:
% 18.80/4.88 | (231) ~ (e3 = e2)
% 18.80/4.88 |
% 18.80/4.88 | Equations (419) can reduce 104 to:
% 18.80/4.88 | (234) ~ (e3 = e1)
% 18.80/4.88 |
% 18.80/4.88 | From (419) and (118) follows:
% 18.80/4.88 | (675) op(e3, e2) = all_0_28_28
% 18.80/4.88 |
% 18.80/4.88 +-Applying beta-rule and splitting (27), into two cases.
% 18.80/4.88 |-Branch one:
% 18.80/4.88 | (315) all_0_38_38 = e0
% 18.80/4.88 |
% 18.80/4.88 | Equations (315) can reduce 187 to:
% 18.80/4.88 | (677) ~ (all_0_40_40 = e0)
% 18.80/4.88 |
% 18.80/4.88 | Simplifying 677 yields:
% 18.80/4.88 | (171) ~ (all_0_40_40 = e0)
% 18.80/4.88 |
% 18.80/4.88 | Equations (315) can reduce 139 to:
% 18.80/4.88 | (679) ~ (all_0_42_42 = e0)
% 18.80/4.88 |
% 18.80/4.88 | Simplifying 679 yields:
% 18.80/4.88 | (680) ~ (all_0_42_42 = e0)
% 18.80/4.88 |
% 18.80/4.88 | Equations (315) can reduce 88 to:
% 18.80/4.88 | (681) ~ (all_0_54_54 = e0)
% 18.80/4.88 |
% 18.80/4.88 | Simplifying 681 yields:
% 18.80/4.88 | (682) ~ (all_0_54_54 = e0)
% 18.80/4.88 |
% 18.80/4.88 | Equations (315) can reduce 7 to:
% 18.80/4.88 | (392) ~ (e3 = e0)
% 18.80/4.89 |
% 18.80/4.89 | Simplifying 392 yields:
% 18.80/4.89 | (81) ~ (e3 = e0)
% 18.80/4.89 |
% 18.91/4.89 | Equations (315) can reduce 217 to:
% 18.91/4.89 | (685) ~ (e1 = e0)
% 18.91/4.89 |
% 18.91/4.89 | Simplifying 685 yields:
% 18.91/4.89 | (247) ~ (e1 = e0)
% 18.91/4.89 |
% 18.91/4.89 | From (315) and (59) follows:
% 18.91/4.89 | (687) op(e4, e4) = e0
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (170), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (319) ~ (all_0_38_38 = e0)
% 18.91/4.89 |
% 18.91/4.89 | Equations (315) can reduce 319 to:
% 18.91/4.89 | (301) $false
% 18.91/4.89 |
% 18.91/4.89 |-The branch is then unsatisfiable
% 18.91/4.89 |-Branch two:
% 18.91/4.89 | (315) all_0_38_38 = e0
% 18.91/4.89 | (545) all_0_41_41 = e4
% 18.91/4.89 |
% 18.91/4.89 | Equations (545) can reduce 568 to:
% 18.91/4.89 | (199) ~ (e4 = e3)
% 18.91/4.89 |
% 18.91/4.89 | From (545) and (256) follows:
% 18.91/4.89 | (693) op(e4, e4) = all_0_5_5
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (123), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (694) all_0_39_39 = e3
% 18.91/4.89 |
% 18.91/4.89 | Combining equations (694,344) yields a new equation:
% 18.91/4.89 | (572) e3 = e2
% 18.91/4.89 |
% 18.91/4.89 | Simplifying 572 yields:
% 18.91/4.89 | (573) e3 = e2
% 18.91/4.89 |
% 18.91/4.89 | Equations (573) can reduce 231 to:
% 18.91/4.89 | (301) $false
% 18.91/4.89 |
% 18.91/4.89 |-The branch is then unsatisfiable
% 18.91/4.89 |-Branch two:
% 18.91/4.89 | (698) ~ (all_0_39_39 = e3)
% 18.91/4.89 | (699) all_0_43_43 = e3 | all_0_52_52 = e3 | all_0_55_55 = e3
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (699), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (700) all_0_43_43 = e3
% 18.91/4.89 |
% 18.91/4.89 | Equations (700) can reduce 8 to:
% 18.91/4.89 | (68) ~ (all_0_42_42 = e3)
% 18.91/4.89 |
% 18.91/4.89 | Equations (700) can reduce 174 to:
% 18.91/4.89 | (702) ~ (all_0_46_46 = e3)
% 18.91/4.89 |
% 18.91/4.89 | Simplifying 702 yields:
% 18.91/4.89 | (583) ~ (all_0_46_46 = e3)
% 18.91/4.89 |
% 18.91/4.89 | Equations (700) can reduce 64 to:
% 18.91/4.89 | (426) ~ (e4 = e3)
% 18.91/4.89 |
% 18.91/4.89 | Simplifying 426 yields:
% 18.91/4.89 | (199) ~ (e4 = e3)
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (220), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (706) all_0_43_43 = e1
% 18.91/4.89 |
% 18.91/4.89 | Combining equations (700,706) yields a new equation:
% 18.91/4.89 | (707) e3 = e1
% 18.91/4.89 |
% 18.91/4.89 | Simplifying 707 yields:
% 18.91/4.89 | (708) e3 = e1
% 18.91/4.89 |
% 18.91/4.89 | Equations (708) can reduce 234 to:
% 18.91/4.89 | (301) $false
% 18.91/4.89 |
% 18.91/4.89 |-The branch is then unsatisfiable
% 18.91/4.89 |-Branch two:
% 18.91/4.89 | (710) ~ (all_0_43_43 = e1)
% 18.91/4.89 | (711) all_0_47_47 = e1 | all_0_55_55 = e1
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (711), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (483) all_0_47_47 = e1
% 18.91/4.89 |
% 18.91/4.89 | Equations (483) can reduce 93 to:
% 18.91/4.89 | (713) ~ (all_0_49_49 = e1)
% 18.91/4.89 |
% 18.91/4.89 | Simplifying 713 yields:
% 18.91/4.89 | (478) ~ (all_0_49_49 = e1)
% 18.91/4.89 |
% 18.91/4.89 | From (483) and (142) follows:
% 18.91/4.89 | (715) op(e1, e3) = all_0_17_17
% 18.91/4.89 |
% 18.91/4.89 | From (483) and (62) follows:
% 18.91/4.89 | (716) op(e2, e3) = e1
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (653), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (717) all_0_54_54 = e4
% 18.91/4.89 |
% 18.91/4.89 | Equations (717) can reduce 643 to:
% 18.91/4.89 | (301) $false
% 18.91/4.89 |
% 18.91/4.89 |-The branch is then unsatisfiable
% 18.91/4.89 |-Branch two:
% 18.91/4.89 | (643) ~ (all_0_54_54 = e4)
% 18.91/4.89 | (720) all_0_54_54 = e1 | all_0_54_54 = e0
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (720), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (369) all_0_54_54 = e0
% 18.91/4.89 |
% 18.91/4.89 | Equations (369) can reduce 682 to:
% 18.91/4.89 | (301) $false
% 18.91/4.89 |
% 18.91/4.89 |-The branch is then unsatisfiable
% 18.91/4.89 |-Branch two:
% 18.91/4.89 | (682) ~ (all_0_54_54 = e0)
% 18.91/4.89 | (724) all_0_54_54 = e1
% 18.91/4.89 |
% 18.91/4.89 | Equations (724) can reduce 223 to:
% 18.91/4.89 | (725) ~ (all_0_57_57 = e1)
% 18.91/4.89 |
% 18.91/4.89 | Simplifying 725 yields:
% 18.91/4.89 | (726) ~ (all_0_57_57 = e1)
% 18.91/4.89 |
% 18.91/4.89 | From (724) and (52) follows:
% 18.91/4.89 | (727) op(e1, e4) = all_0_30_30
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (19), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (458) all_0_57_57 = e2
% 18.91/4.89 |
% 18.91/4.89 | Equations (458) can reduce 15 to:
% 18.91/4.89 | (729) ~ (all_0_40_40 = e2)
% 18.91/4.89 |
% 18.91/4.89 | Equations (458) can reduce 75 to:
% 18.91/4.89 | (730) ~ (all_0_45_45 = e2)
% 18.91/4.89 |
% 18.91/4.89 | Equations (458) can reduce 94 to:
% 18.91/4.89 | (264) ~ (all_0_49_49 = e2)
% 18.91/4.89 |
% 18.91/4.89 | Equations (458) can reduce 425 to:
% 18.91/4.89 | (284) ~ (e3 = e2)
% 18.91/4.89 |
% 18.91/4.89 | Simplifying 284 yields:
% 18.91/4.89 | (231) ~ (e3 = e2)
% 18.91/4.89 |
% 18.91/4.89 | Equations (458) can reduce 189 to:
% 18.91/4.89 | (133) ~ (e2 = e0)
% 18.91/4.89 |
% 18.91/4.89 | From (458) and (73) follows:
% 18.91/4.89 | (735) op(e2, e1) = all_0_36_36
% 18.91/4.89 |
% 18.91/4.89 | From (458) and (40) follows:
% 18.91/4.89 | (736) op(e2, e0) = all_0_35_35
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (66), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (737) all_0_42_42 = e2
% 18.91/4.89 |
% 18.91/4.89 | Equations (737) can reduce 277 to:
% 18.91/4.89 | (301) $false
% 18.91/4.89 |
% 18.91/4.89 |-The branch is then unsatisfiable
% 18.91/4.89 |-Branch two:
% 18.91/4.89 | (277) ~ (all_0_42_42 = e2)
% 18.91/4.89 | (740) all_0_43_43 = e2 | all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (740), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (439) all_0_43_43 = e2
% 18.91/4.89 |
% 18.91/4.89 | Combining equations (700,439) yields a new equation:
% 18.91/4.89 | (572) e3 = e2
% 18.91/4.89 |
% 18.91/4.89 | Simplifying 572 yields:
% 18.91/4.89 | (573) e3 = e2
% 18.91/4.89 |
% 18.91/4.89 | Equations (573) can reduce 231 to:
% 18.91/4.89 | (301) $false
% 18.91/4.89 |
% 18.91/4.89 |-The branch is then unsatisfiable
% 18.91/4.89 |-Branch two:
% 18.91/4.89 | (275) ~ (all_0_43_43 = e2)
% 18.91/4.89 | (746) all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (746), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (747) all_0_44_44 = e2
% 18.91/4.89 |
% 18.91/4.89 | Combining equations (383,747) yields a new equation:
% 18.91/4.89 | (345) e2 = e0
% 18.91/4.89 |
% 18.91/4.89 | Equations (345) can reduce 133 to:
% 18.91/4.89 | (301) $false
% 18.91/4.89 |
% 18.91/4.89 |-The branch is then unsatisfiable
% 18.91/4.89 |-Branch two:
% 18.91/4.89 | (261) ~ (all_0_44_44 = e2)
% 18.91/4.89 | (751) all_0_45_45 = e2 | all_0_46_46 = e2
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (751), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (752) all_0_45_45 = e2
% 18.91/4.89 |
% 18.91/4.89 | Equations (752) can reduce 730 to:
% 18.91/4.89 | (301) $false
% 18.91/4.89 |
% 18.91/4.89 |-The branch is then unsatisfiable
% 18.91/4.89 |-Branch two:
% 18.91/4.89 | (730) ~ (all_0_45_45 = e2)
% 18.91/4.89 | (571) all_0_46_46 = e2
% 18.91/4.89 |
% 18.91/4.89 | Equations (571) can reduce 14 to:
% 18.91/4.89 | (277) ~ (all_0_42_42 = e2)
% 18.91/4.89 |
% 18.91/4.89 | Equations (571) can reduce 34 to:
% 18.91/4.89 | (730) ~ (all_0_45_45 = e2)
% 18.91/4.89 |
% 18.91/4.89 | Equations (571) can reduce 583 to:
% 18.91/4.89 | (284) ~ (e3 = e2)
% 18.91/4.89 |
% 18.91/4.89 | Simplifying 284 yields:
% 18.91/4.89 | (231) ~ (e3 = e2)
% 18.91/4.89 |
% 18.91/4.89 | Equations (571) can reduce 113 to:
% 18.91/4.89 | (122) ~ (e2 = e1)
% 18.91/4.89 |
% 18.91/4.90 | Equations (571) can reduce 625 to:
% 18.91/4.90 | (133) ~ (e2 = e0)
% 18.91/4.90 |
% 18.91/4.90 | From (571) and (39) follows:
% 18.91/4.90 | (762) op(e2, e3) = all_0_14_14
% 18.91/4.90 |
% 18.91/4.90 | From (571) and (183) follows:
% 18.91/4.90 | (763) op(e2, e0) = all_0_15_15
% 18.91/4.90 |
% 18.91/4.90 +-Applying beta-rule and splitting (219), into two cases.
% 18.91/4.90 |-Branch one:
% 18.91/4.90 | (764) all_0_49_49 = e2
% 18.91/4.90 |
% 18.91/4.90 | Equations (764) can reduce 264 to:
% 18.91/4.90 | (301) $false
% 18.91/4.90 |
% 18.91/4.90 |-The branch is then unsatisfiable
% 18.91/4.90 |-Branch two:
% 18.91/4.90 | (264) ~ (all_0_49_49 = e2)
% 18.91/4.90 | (767) all_0_49_49 = e4 | all_0_49_49 = e1
% 18.91/4.90 |
% 18.91/4.90 +-Applying beta-rule and splitting (140), into two cases.
% 18.91/4.90 |-Branch one:
% 18.91/4.90 | (768) all_0_40_40 = e3
% 18.91/4.90 |
% 18.91/4.90 | Equations (768) can reduce 108 to:
% 18.91/4.90 | (769) ~ (all_0_45_45 = e3)
% 18.91/4.90 |
% 18.91/4.90 | Simplifying 769 yields:
% 18.91/4.90 | (770) ~ (all_0_45_45 = e3)
% 18.91/4.90 |
% 18.91/4.90 | Equations (768) can reduce 729 to:
% 18.91/4.90 | (231) ~ (e3 = e2)
% 18.91/4.90 |
% 18.91/4.90 | Equations (768) can reduce 171 to:
% 18.91/4.90 | (81) ~ (e3 = e0)
% 18.91/4.90 |
% 18.91/4.90 | From (768) and (252) follows:
% 18.91/4.90 | (773) op(e3, e1) = all_0_4_4
% 18.91/4.90 |
% 18.91/4.90 | From (768) and (117) follows:
% 18.91/4.90 | (774) op(e4, e1) = e3
% 18.91/4.90 |
% 18.91/4.90 +-Applying beta-rule and splitting (767), into two cases.
% 18.91/4.90 |-Branch one:
% 18.91/4.90 | (491) all_0_49_49 = e4
% 18.91/4.90 |
% 18.91/4.90 | Equations (491) can reduce 478 to:
% 18.91/4.90 | (114) ~ (e4 = e1)
% 18.91/4.90 |
% 18.91/4.90 | From (491) and (127) follows:
% 18.91/4.90 | (777) op(e4, e2) = all_0_19_19
% 18.91/4.90 |
% 18.91/4.90 | From (491) and (162) follows:
% 18.91/4.90 | (778) op(e4, e1) = all_0_20_20
% 18.91/4.90 |
% 18.91/4.90 | From (491) and (193) follows:
% 18.91/4.90 | (779) op(e2, e1) = e4
% 18.91/4.90 |
% 18.91/4.90 +-Applying beta-rule and splitting (227), into two cases.
% 18.91/4.90 |-Branch one:
% 18.91/4.90 | (737) all_0_42_42 = e2
% 18.91/4.90 |
% 18.91/4.90 | Equations (737) can reduce 277 to:
% 18.91/4.90 | (301) $false
% 18.91/4.90 |
% 18.91/4.90 |-The branch is then unsatisfiable
% 18.91/4.90 |-Branch two:
% 18.91/4.90 | (277) ~ (all_0_42_42 = e2)
% 18.91/4.90 | (783) all_0_42_42 = e4 | all_0_42_42 = e1 | all_0_42_42 = e0
% 18.91/4.90 |
% 18.91/4.90 +-Applying beta-rule and splitting (211), into two cases.
% 18.91/4.90 |-Branch one:
% 18.91/4.90 | (784) all_0_45_45 = e1
% 18.91/4.90 |
% 18.91/4.90 | Equations (784) can reduce 208 to:
% 18.91/4.90 | (785) ~ (all_0_42_42 = e1)
% 18.91/4.90 |
% 18.91/4.90 | Equations (784) can reduce 770 to:
% 18.91/4.90 | (786) ~ (e3 = e1)
% 18.91/4.90 |
% 18.91/4.90 | Simplifying 786 yields:
% 18.91/4.90 | (234) ~ (e3 = e1)
% 18.91/4.90 |
% 18.91/4.90 | Equations (784) can reduce 730 to:
% 18.91/4.90 | (788) ~ (e2 = e1)
% 18.91/4.90 |
% 18.91/4.90 | Simplifying 788 yields:
% 18.91/4.90 | (122) ~ (e2 = e1)
% 18.91/4.90 |
% 18.91/4.90 | Equations (784) can reduce 163 to:
% 18.91/4.90 | (247) ~ (e1 = e0)
% 18.91/4.90 |
% 18.91/4.90 | From (784) and (50) follows:
% 18.91/4.90 | (791) op(e1, e3) = all_0_12_12
% 18.91/4.90 |
% 18.91/4.90 | From (784) and (44) follows:
% 18.91/4.90 | (792) op(e1, e1) = all_0_13_13
% 18.91/4.90 |
% 18.91/4.90 | From (784) and (196) follows:
% 18.91/4.90 | (793) op(e3, e1) = e1
% 18.91/4.90 |
% 18.91/4.90 +-Applying beta-rule and splitting (783), into two cases.
% 18.91/4.90 |-Branch one:
% 18.91/4.90 | (794) all_0_42_42 = e4
% 18.91/4.90 |
% 18.91/4.90 | Equations (794) can reduce 68 to:
% 18.91/4.90 | (199) ~ (e4 = e3)
% 18.91/4.90 |
% 18.91/4.90 | Equations (794) can reduce 277 to:
% 18.91/4.90 | (42) ~ (e4 = e2)
% 18.91/4.90 |
% 18.91/4.90 | Equations (794) can reduce 785 to:
% 18.91/4.90 | (114) ~ (e4 = e1)
% 18.91/4.90 |
% 18.91/4.90 | Equations (794) can reduce 680 to:
% 18.91/4.90 | (43) ~ (e4 = e0)
% 18.91/4.90 |
% 18.91/4.90 | From (794) and (159) follows:
% 18.91/4.90 | (799) op(e4, e4) = all_0_8_8
% 18.91/4.90 |
% 18.91/4.90 | From (794) and (105) follows:
% 18.91/4.90 | (800) op(e4, e3) = all_0_7_7
% 18.91/4.90 |
% 18.91/4.90 | Instantiating formula (151) with e4, e4, all_0_8_8, all_0_5_5 and discharging atoms op(e4, e4) = all_0_5_5, op(e4, e4) = all_0_8_8, yields:
% 18.91/4.90 | (801) all_0_5_5 = all_0_8_8
% 18.91/4.90 |
% 18.91/4.90 | Instantiating formula (151) with e4, e4, e0, all_0_5_5 and discharging atoms op(e4, e4) = all_0_5_5, op(e4, e4) = e0, yields:
% 18.91/4.90 | (802) all_0_5_5 = e0
% 18.91/4.90 |
% 18.91/4.90 | Instantiating formula (151) with e4, e3, all_0_26_26, all_0_7_7 and discharging atoms op(e4, e3) = all_0_7_7, op(e4, e3) = all_0_26_26, yields:
% 18.91/4.90 | (803) all_0_7_7 = all_0_26_26
% 18.91/4.90 |
% 18.91/4.90 | Instantiating formula (151) with e4, e3, e2, all_0_7_7 and discharging atoms op(e4, e3) = all_0_7_7, op(e4, e3) = e2, yields:
% 18.91/4.90 | (804) all_0_7_7 = e2
% 18.91/4.90 |
% 18.91/4.90 | Instantiating formula (151) with e4, e2, all_0_19_19, e1 and discharging atoms op(e4, e2) = all_0_19_19, op(e4, e2) = e1, yields:
% 18.91/4.90 | (805) all_0_19_19 = e1
% 18.91/4.90 |
% 18.91/4.90 | Instantiating formula (151) with e4, e2, all_0_34_34, all_0_19_19 and discharging atoms op(e4, e2) = all_0_19_19, op(e4, e2) = all_0_34_34, yields:
% 18.91/4.90 | (806) all_0_19_19 = all_0_34_34
% 18.91/4.90 |
% 18.91/4.90 | Instantiating formula (151) with e4, e1, all_0_25_25, all_0_20_20 and discharging atoms op(e4, e1) = all_0_20_20, op(e4, e1) = all_0_25_25, yields:
% 18.91/4.90 | (807) all_0_20_20 = all_0_25_25
% 18.91/4.90 |
% 18.91/4.90 | Instantiating formula (151) with e4, e1, e3, all_0_20_20 and discharging atoms op(e4, e1) = all_0_20_20, op(e4, e1) = e3, yields:
% 18.91/4.90 | (808) all_0_20_20 = e3
% 18.91/4.90 |
% 18.91/4.90 | Instantiating formula (151) with e3, e2, e0, all_0_28_28 and discharging atoms op(e3, e2) = all_0_28_28, op(e3, e2) = e0, yields:
% 18.91/4.90 | (809) all_0_28_28 = e0
% 18.91/4.90 |
% 18.91/4.90 | Instantiating formula (151) with e3, e1, e1, all_0_4_4 and discharging atoms op(e3, e1) = all_0_4_4, op(e3, e1) = e1, yields:
% 18.91/4.90 | (810) all_0_4_4 = e1
% 18.91/4.90 |
% 18.91/4.90 | Instantiating formula (151) with e2, e3, all_0_14_14, all_0_2_2 and discharging atoms op(e2, e3) = all_0_2_2, op(e2, e3) = all_0_14_14, yields:
% 18.91/4.90 | (811) all_0_2_2 = all_0_14_14
% 18.91/4.90 |
% 18.91/4.90 | Instantiating formula (151) with e2, e3, e1, all_0_2_2 and discharging atoms op(e2, e3) = all_0_2_2, op(e2, e3) = e1, yields:
% 18.91/4.90 | (812) all_0_2_2 = e1
% 18.91/4.90 |
% 18.91/4.90 | Instantiating formula (151) with e2, e1, e4, all_0_36_36 and discharging atoms op(e2, e1) = all_0_36_36, op(e2, e1) = e4, yields:
% 18.91/4.90 | (813) all_0_36_36 = e4
% 18.91/4.90 |
% 18.91/4.90 | Instantiating formula (151) with e2, e0, all_0_35_35, all_0_15_15 and discharging atoms op(e2, e0) = all_0_15_15, op(e2, e0) = all_0_35_35, yields:
% 18.91/4.90 | (814) all_0_15_15 = all_0_35_35
% 18.91/4.90 |
% 18.91/4.90 | Instantiating formula (151) with e2, e0, e0, all_0_15_15 and discharging atoms op(e2, e0) = all_0_15_15, op(e2, e0) = e0, yields:
% 18.91/4.90 | (815) all_0_15_15 = e0
% 18.91/4.90 |
% 18.91/4.90 | Instantiating formula (151) with e1, e4, all_0_30_30, e2 and discharging atoms op(e1, e4) = all_0_30_30, op(e1, e4) = e2, yields:
% 18.91/4.91 | (816) all_0_30_30 = e2
% 18.91/4.91 |
% 18.91/4.91 | Instantiating formula (151) with e1, e3, all_0_17_17, all_0_12_12 and discharging atoms op(e1, e3) = all_0_12_12, op(e1, e3) = all_0_17_17, yields:
% 18.91/4.91 | (817) all_0_12_12 = all_0_17_17
% 18.91/4.91 |
% 18.91/4.91 | Instantiating formula (151) with e1, e3, e4, all_0_12_12 and discharging atoms op(e1, e3) = all_0_12_12, op(e1, e3) = e4, yields:
% 18.91/4.91 | (818) all_0_12_12 = e4
% 18.91/4.91 |
% 18.91/4.91 | Instantiating formula (151) with e1, e1, all_0_13_13, e0 and discharging atoms op(e1, e1) = all_0_13_13, op(e1, e1) = e0, yields:
% 18.91/4.91 | (819) all_0_13_13 = e0
% 18.91/4.91 |
% 18.91/4.91 | Instantiating formula (151) with e0, e2, e4, all_0_11_11 and discharging atoms op(e0, e2) = all_0_11_11, op(e0, e2) = e4, yields:
% 18.91/4.91 | (820) all_0_11_11 = e4
% 18.91/4.91 |
% 18.91/4.91 | Instantiating formula (151) with e0, e0, all_0_31_31, all_0_22_22 and discharging atoms op(e0, e0) = all_0_22_22, op(e0, e0) = all_0_31_31, yields:
% 18.91/4.91 | (821) all_0_22_22 = all_0_31_31
% 18.91/4.91 |
% 18.91/4.91 | Instantiating formula (151) with e0, e0, e3, all_0_22_22 and discharging atoms op(e0, e0) = all_0_22_22, op(e0, e0) = e3, yields:
% 18.91/4.91 | (822) all_0_22_22 = e3
% 18.91/4.91 |
% 18.91/4.91 | Combining equations (812,811) yields a new equation:
% 18.91/4.91 | (823) all_0_14_14 = e1
% 18.91/4.91 |
% 18.91/4.91 | Combining equations (802,801) yields a new equation:
% 18.91/4.91 | (824) all_0_8_8 = e0
% 18.91/4.91 |
% 18.91/4.91 | Combining equations (803,804) yields a new equation:
% 18.91/4.91 | (825) all_0_26_26 = e2
% 18.91/4.91 |
% 18.91/4.91 | Simplifying 825 yields:
% 18.91/4.91 | (826) all_0_26_26 = e2
% 18.91/4.91 |
% 18.91/4.91 | Combining equations (818,817) yields a new equation:
% 18.91/4.91 | (827) all_0_17_17 = e4
% 18.91/4.91 |
% 18.91/4.91 | Combining equations (815,814) yields a new equation:
% 18.91/4.91 | (828) all_0_35_35 = e0
% 18.91/4.91 |
% 18.91/4.91 | Combining equations (805,806) yields a new equation:
% 18.91/4.91 | (829) all_0_34_34 = e1
% 18.91/4.91 |
% 18.91/4.91 | Combining equations (808,807) yields a new equation:
% 18.91/4.91 | (830) all_0_25_25 = e3
% 18.91/4.91 |
% 18.91/4.91 | Combining equations (822,821) yields a new equation:
% 18.91/4.91 | (831) all_0_31_31 = e3
% 18.91/4.91 |
% 18.91/4.91 | Combining equations (831,821) yields a new equation:
% 18.91/4.91 | (822) all_0_22_22 = e3
% 18.91/4.91 |
% 18.91/4.91 | Combining equations (830,807) yields a new equation:
% 18.91/4.91 | (808) all_0_20_20 = e3
% 18.91/4.91 |
% 18.91/4.91 | Combining equations (828,814) yields a new equation:
% 18.91/4.91 | (815) all_0_15_15 = e0
% 18.91/4.91 |
% 18.91/4.91 | Combining equations (824,801) yields a new equation:
% 18.91/4.91 | (802) all_0_5_5 = e0
% 18.91/4.91 |
% 18.91/4.91 | Combining equations (823,811) yields a new equation:
% 18.91/4.91 | (812) all_0_2_2 = e1
% 18.91/4.91 |
% 18.91/4.91 +-Applying beta-rule and splitting (128), into two cases.
% 18.91/4.91 |-Branch one:
% 18.91/4.91 | (837) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)) | (all_0_42_42 = e2 & ~ (all_0_44_44 = e4))
% 18.91/4.91 |
% 18.91/4.91 +-Applying beta-rule and splitting (837), into two cases.
% 18.91/4.91 |-Branch one:
% 18.91/4.91 | (838) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1))
% 18.91/4.91 |
% 18.91/4.91 +-Applying beta-rule and splitting (838), into two cases.
% 18.91/4.91 |-Branch one:
% 18.91/4.91 | (839) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56))
% 18.91/4.91 |
% 18.91/4.91 +-Applying beta-rule and splitting (839), into two cases.
% 18.91/4.91 |-Branch one:
% 18.91/4.91 | (840) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55))
% 18.91/4.91 |
% 18.91/4.91 +-Applying beta-rule and splitting (840), into two cases.
% 18.91/4.91 |-Branch one:
% 18.91/4.91 | (841) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54))
% 18.91/4.91 |
% 18.91/4.91 +-Applying beta-rule and splitting (841), into two cases.
% 18.91/4.91 |-Branch one:
% 18.91/4.91 | (842) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53))
% 18.91/4.92 |
% 18.91/4.92 +-Applying beta-rule and splitting (842), into two cases.
% 18.91/4.92 |-Branch one:
% 18.91/4.92 | (843) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52))
% 18.91/4.92 |
% 18.91/4.92 +-Applying beta-rule and splitting (843), into two cases.
% 18.91/4.92 |-Branch one:
% 18.91/4.92 | (844) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51))
% 18.91/4.92 |
% 18.91/4.92 +-Applying beta-rule and splitting (844), into two cases.
% 18.91/4.92 |-Branch one:
% 19.07/4.92 | (845) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56))
% 19.07/4.92 |
% 19.07/4.92 +-Applying beta-rule and splitting (845), into two cases.
% 19.07/4.92 |-Branch one:
% 19.07/4.92 | (846) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53))
% 19.07/4.92 |
% 19.07/4.92 +-Applying beta-rule and splitting (846), into two cases.
% 19.07/4.92 |-Branch one:
% 19.07/4.92 | (847) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47))
% 19.07/4.92 |
% 19.07/4.92 +-Applying beta-rule and splitting (847), into two cases.
% 19.07/4.92 |-Branch one:
% 19.07/4.92 | (848) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55))
% 19.07/4.92 |
% 19.07/4.92 +-Applying beta-rule and splitting (848), into two cases.
% 19.07/4.92 |-Branch one:
% 19.07/4.92 | (849) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52))
% 19.07/4.92 |
% 19.07/4.92 +-Applying beta-rule and splitting (849), into two cases.
% 19.07/4.92 |-Branch one:
% 19.07/4.92 | (850) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47))
% 19.07/4.92 |
% 19.07/4.92 +-Applying beta-rule and splitting (850), into two cases.
% 19.07/4.92 |-Branch one:
% 19.07/4.92 | (851) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42))
% 19.07/4.92 |
% 19.07/4.92 +-Applying beta-rule and splitting (851), into two cases.
% 19.07/4.92 |-Branch one:
% 19.07/4.92 | (852) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54))
% 19.07/4.92 |
% 19.07/4.92 +-Applying beta-rule and splitting (852), into two cases.
% 19.07/4.92 |-Branch one:
% 19.07/4.92 | (853) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51))
% 19.07/4.92 |
% 19.07/4.92 +-Applying beta-rule and splitting (853), into two cases.
% 19.07/4.92 |-Branch one:
% 19.07/4.92 | (854) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)
% 19.07/4.92 |
% 19.07/4.92 | Applying alpha-rule on (854) yields:
% 19.07/4.92 | (855) all_0_2_2 = e4
% 19.07/4.92 | (856) ~ (all_0_1_1 = e3)
% 19.07/4.92 | (857) ~ (all_0_39_39 = all_0_42_42)
% 19.07/4.92 |
% 19.07/4.92 | Combining equations (855,812) yields a new equation:
% 19.07/4.92 | (858) e4 = e1
% 19.07/4.92 |
% 19.07/4.92 | Simplifying 858 yields:
% 19.07/4.92 | (484) e4 = e1
% 19.07/4.92 |
% 19.07/4.92 | Equations (484) can reduce 114 to:
% 19.07/4.92 | (301) $false
% 19.07/4.92 |
% 19.07/4.92 |-The branch is then unsatisfiable
% 19.07/4.92 |-Branch two:
% 19.07/4.92 | (861) all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)
% 19.07/4.92 |
% 19.07/4.92 | Applying alpha-rule on (861) yields:
% 19.07/4.92 | (862) all_0_4_4 = e4
% 19.07/4.92 | (863) ~ (all_0_3_3 = e1)
% 19.07/4.92 | (864) ~ (all_0_40_40 = all_0_51_51)
% 19.07/4.92 |
% 19.07/4.92 | Combining equations (862,810) yields a new equation:
% 19.07/4.92 | (858) e4 = e1
% 19.07/4.92 |
% 19.07/4.92 | Simplifying 858 yields:
% 19.07/4.92 | (484) e4 = e1
% 19.07/4.92 |
% 19.07/4.92 | Equations (484) can reduce 114 to:
% 19.07/4.92 | (301) $false
% 19.07/4.92 |
% 19.07/4.92 |-The branch is then unsatisfiable
% 19.07/4.92 |-Branch two:
% 19.07/4.92 | (868) all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)
% 19.07/4.92 |
% 19.07/4.92 | Applying alpha-rule on (868) yields:
% 19.07/4.92 | (869) all_0_6_6 = e4
% 19.07/4.92 | (870) ~ (all_0_5_5 = e0)
% 19.07/4.92 | (871) ~ (all_0_41_41 = all_0_54_54)
% 19.07/4.92 |
% 19.07/4.92 | Equations (802) can reduce 870 to:
% 19.07/4.92 | (301) $false
% 19.07/4.92 |
% 19.07/4.92 |-The branch is then unsatisfiable
% 19.07/4.93 |-Branch two:
% 19.07/4.93 | (873) all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)
% 19.07/4.93 |
% 19.07/4.93 | Applying alpha-rule on (873) yields:
% 19.07/4.93 | (874) all_0_8_8 = e3
% 19.07/4.93 | (875) ~ (all_0_7_7 = e4)
% 19.07/4.93 | (857) ~ (all_0_39_39 = all_0_42_42)
% 19.07/4.93 |
% 19.07/4.93 | Combining equations (874,824) yields a new equation:
% 19.07/4.93 | (414) e3 = e0
% 19.07/4.93 |
% 19.07/4.93 | Simplifying 414 yields:
% 19.07/4.93 | (415) e3 = e0
% 19.07/4.93 |
% 19.07/4.93 | Equations (415) can reduce 81 to:
% 19.07/4.93 | (301) $false
% 19.07/4.93 |
% 19.07/4.93 |-The branch is then unsatisfiable
% 19.07/4.93 |-Branch two:
% 19.07/4.93 | (880) all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)
% 19.07/4.93 |
% 19.07/4.93 | Applying alpha-rule on (880) yields:
% 19.07/4.93 | (881) all_0_11_11 = e3
% 19.07/4.93 | (882) ~ (all_0_10_10 = e2)
% 19.07/4.93 | (883) ~ (all_0_44_44 = all_0_47_47)
% 19.07/4.93 |
% 19.07/4.93 | Combining equations (881,820) yields a new equation:
% 19.07/4.93 | (420) e4 = e3
% 19.07/4.93 |
% 19.07/4.93 | Equations (420) can reduce 199 to:
% 19.07/4.93 | (301) $false
% 19.07/4.93 |
% 19.07/4.93 |-The branch is then unsatisfiable
% 19.07/4.93 |-Branch two:
% 19.07/4.93 | (886) all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)
% 19.07/4.93 |
% 19.07/4.93 | Applying alpha-rule on (886) yields:
% 19.07/4.93 | (887) all_0_13_13 = e3
% 19.07/4.93 | (888) ~ (all_0_12_12 = e1)
% 19.07/4.93 | (889) ~ (all_0_45_45 = all_0_52_52)
% 19.07/4.93 |
% 19.07/4.93 | Combining equations (887,819) yields a new equation:
% 19.07/4.93 | (414) e3 = e0
% 19.07/4.93 |
% 19.07/4.93 | Simplifying 414 yields:
% 19.07/4.93 | (415) e3 = e0
% 19.07/4.93 |
% 19.07/4.93 | Equations (415) can reduce 81 to:
% 19.07/4.93 | (301) $false
% 19.07/4.93 |
% 19.07/4.93 |-The branch is then unsatisfiable
% 19.07/4.93 |-Branch two:
% 19.07/4.93 | (893) all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)
% 19.07/4.93 |
% 19.07/4.93 | Applying alpha-rule on (893) yields:
% 19.07/4.93 | (894) all_0_15_15 = e3
% 19.07/4.93 | (895) ~ (all_0_14_14 = e0)
% 19.07/4.93 | (896) ~ (all_0_46_46 = all_0_55_55)
% 19.07/4.93 |
% 19.07/4.93 | Combining equations (894,815) yields a new equation:
% 19.07/4.93 | (414) e3 = e0
% 19.07/4.93 |
% 19.07/4.93 | Simplifying 414 yields:
% 19.07/4.93 | (415) e3 = e0
% 19.07/4.93 |
% 19.07/4.93 | Equations (415) can reduce 81 to:
% 19.07/4.93 | (301) $false
% 19.07/4.93 |
% 19.07/4.93 |-The branch is then unsatisfiable
% 19.07/4.93 |-Branch two:
% 19.07/4.93 | (900) all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)
% 19.07/4.93 |
% 19.07/4.93 | Applying alpha-rule on (900) yields:
% 19.07/4.93 | (901) all_0_17_17 = e2
% 19.07/4.93 | (902) ~ (all_0_16_16 = e3)
% 19.07/4.93 | (883) ~ (all_0_44_44 = all_0_47_47)
% 19.07/4.93 |
% 19.07/4.93 | Combining equations (901,827) yields a new equation:
% 19.07/4.93 | (504) e4 = e2
% 19.07/4.93 |
% 19.07/4.93 | Equations (504) can reduce 42 to:
% 19.07/4.93 | (301) $false
% 19.07/4.93 |
% 19.07/4.93 |-The branch is then unsatisfiable
% 19.07/4.93 |-Branch two:
% 19.07/4.93 | (906) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)
% 19.07/4.93 |
% 19.07/4.93 | Applying alpha-rule on (906) yields:
% 19.07/4.93 | (907) all_0_20_20 = e2
% 19.07/4.93 | (908) ~ (all_0_19_19 = e1)
% 19.07/4.93 | (909) ~ (all_0_49_49 = all_0_53_53)
% 19.07/4.93 |
% 19.07/4.93 | Combining equations (907,808) yields a new equation:
% 19.07/4.93 | (573) e3 = e2
% 19.07/4.93 |
% 19.07/4.93 | Equations (573) can reduce 231 to:
% 19.07/4.93 | (301) $false
% 19.07/4.93 |
% 19.07/4.93 |-The branch is then unsatisfiable
% 19.07/4.93 |-Branch two:
% 19.07/4.93 | (912) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)
% 19.07/4.93 |
% 19.07/4.93 | Applying alpha-rule on (912) yields:
% 19.07/4.93 | (913) all_0_22_22 = e2
% 19.07/4.93 | (914) ~ (all_0_21_21 = e0)
% 19.07/4.93 | (915) ~ (all_0_50_50 = all_0_56_56)
% 19.07/4.93 |
% 19.07/4.93 | Combining equations (913,822) yields a new equation:
% 19.07/4.93 | (573) e3 = e2
% 19.07/4.93 |
% 19.07/4.93 | Equations (573) can reduce 231 to:
% 19.07/4.93 | (301) $false
% 19.07/4.93 |
% 19.07/4.93 |-The branch is then unsatisfiable
% 19.07/4.93 |-Branch two:
% 19.07/4.93 | (918) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)
% 19.07/4.93 |
% 19.07/4.93 | Applying alpha-rule on (918) yields:
% 19.07/4.93 | (919) all_0_24_24 = e1
% 19.07/4.93 | (920) ~ (all_0_23_23 = e4)
% 19.07/4.93 | (864) ~ (all_0_40_40 = all_0_51_51)
% 19.07/4.93 |
% 19.07/4.93 | Combining equations (919,290) yields a new equation:
% 19.07/4.93 | (708) e3 = e1
% 19.07/4.93 |
% 19.07/4.93 | Equations (708) can reduce 234 to:
% 19.07/4.93 | (301) $false
% 19.07/4.93 |
% 19.07/4.93 |-The branch is then unsatisfiable
% 19.07/4.93 |-Branch two:
% 19.07/4.93 | (924) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)
% 19.07/4.93 |
% 19.07/4.93 | Applying alpha-rule on (924) yields:
% 19.07/4.93 | (925) all_0_26_26 = e1
% 19.07/4.93 | (926) ~ (all_0_25_25 = e3)
% 19.07/4.93 | (889) ~ (all_0_45_45 = all_0_52_52)
% 19.07/4.93 |
% 19.07/4.93 | Combining equations (925,826) yields a new equation:
% 19.07/4.93 | (928) e2 = e1
% 19.07/4.93 |
% 19.07/4.93 | Equations (928) can reduce 122 to:
% 19.07/4.93 | (301) $false
% 19.07/4.93 |
% 19.07/4.93 |-The branch is then unsatisfiable
% 19.07/4.93 |-Branch two:
% 19.07/4.93 | (930) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)
% 19.07/4.93 |
% 19.07/4.93 | Applying alpha-rule on (930) yields:
% 19.07/4.93 | (931) all_0_28_28 = e1
% 19.07/4.93 | (932) ~ (all_0_27_27 = e2)
% 19.07/4.93 | (909) ~ (all_0_49_49 = all_0_53_53)
% 19.07/4.93 |
% 19.07/4.93 | Combining equations (931,809) yields a new equation:
% 19.07/4.93 | (934) e1 = e0
% 19.07/4.93 |
% 19.07/4.93 | Simplifying 934 yields:
% 19.07/4.93 | (935) e1 = e0
% 19.07/4.93 |
% 19.07/4.93 | Equations (935) can reduce 247 to:
% 19.07/4.93 | (301) $false
% 19.07/4.93 |
% 19.07/4.93 |-The branch is then unsatisfiable
% 19.07/4.93 |-Branch two:
% 19.07/4.93 | (937) all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)
% 19.07/4.93 |
% 19.07/4.93 | Applying alpha-rule on (937) yields:
% 19.07/4.93 | (938) all_0_30_30 = e0
% 19.07/4.93 | (939) ~ (all_0_29_29 = e4)
% 19.07/4.93 | (871) ~ (all_0_41_41 = all_0_54_54)
% 19.07/4.93 |
% 19.07/4.93 | Combining equations (816,938) yields a new equation:
% 19.07/4.93 | (352) e2 = e0
% 19.07/4.93 |
% 19.07/4.93 | Simplifying 352 yields:
% 19.07/4.93 | (345) e2 = e0
% 19.07/4.93 |
% 19.07/4.93 | Equations (345) can reduce 133 to:
% 19.07/4.93 | (301) $false
% 19.07/4.93 |
% 19.07/4.93 |-The branch is then unsatisfiable
% 19.07/4.93 |-Branch two:
% 19.07/4.93 | (944) all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)
% 19.07/4.93 |
% 19.07/4.93 | Applying alpha-rule on (944) yields:
% 19.07/4.93 | (945) all_0_32_32 = e0
% 19.07/4.93 | (946) ~ (all_0_31_31 = e3)
% 19.07/4.93 | (896) ~ (all_0_46_46 = all_0_55_55)
% 19.07/4.93 |
% 19.07/4.93 | Equations (831) can reduce 946 to:
% 19.07/4.93 | (301) $false
% 19.07/4.93 |
% 19.07/4.93 |-The branch is then unsatisfiable
% 19.07/4.93 |-Branch two:
% 19.07/4.93 | (949) all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)
% 19.07/4.93 |
% 19.07/4.93 | Applying alpha-rule on (949) yields:
% 19.07/4.93 | (950) all_0_34_34 = e0
% 19.07/4.93 | (951) ~ (all_0_33_33 = e2)
% 19.07/4.93 | (915) ~ (all_0_50_50 = all_0_56_56)
% 19.07/4.93 |
% 19.07/4.93 | Combining equations (829,950) yields a new equation:
% 19.07/4.93 | (934) e1 = e0
% 19.07/4.93 |
% 19.07/4.93 | Simplifying 934 yields:
% 19.07/4.93 | (935) e1 = e0
% 19.07/4.93 |
% 19.07/4.93 | Equations (935) can reduce 247 to:
% 19.07/4.93 | (301) $false
% 19.07/4.93 |
% 19.07/4.93 |-The branch is then unsatisfiable
% 19.07/4.93 |-Branch two:
% 19.07/4.93 | (956) all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)
% 19.07/4.93 |
% 19.07/4.93 | Applying alpha-rule on (956) yields:
% 19.07/4.93 | (957) all_0_36_36 = e0
% 19.07/4.93 | (958) ~ (all_0_35_35 = e1)
% 19.07/4.93 | (726) ~ (all_0_57_57 = e1)
% 19.07/4.93 |
% 19.07/4.93 | Combining equations (813,957) yields a new equation:
% 19.07/4.93 | (316) e4 = e0
% 19.07/4.93 |
% 19.07/4.93 | Simplifying 316 yields:
% 19.07/4.93 | (317) e4 = e0
% 19.07/4.93 |
% 19.07/4.93 | Equations (317) can reduce 43 to:
% 19.07/4.93 | (301) $false
% 19.07/4.93 |
% 19.07/4.93 |-The branch is then unsatisfiable
% 19.07/4.93 |-Branch two:
% 19.07/4.93 | (963) all_0_42_42 = e2 & ~ (all_0_44_44 = e4)
% 19.07/4.93 |
% 19.07/4.93 | Applying alpha-rule on (963) yields:
% 19.07/4.93 | (737) all_0_42_42 = e2
% 19.12/4.93 | (407) ~ (all_0_44_44 = e4)
% 19.12/4.93 |
% 19.12/4.93 | Combining equations (794,737) yields a new equation:
% 19.12/4.93 | (553) e4 = e2
% 19.12/4.93 |
% 19.12/4.93 | Simplifying 553 yields:
% 19.12/4.93 | (504) e4 = e2
% 19.12/4.93 |
% 19.12/4.93 | Equations (504) can reduce 42 to:
% 19.12/4.93 | (301) $false
% 19.12/4.93 |
% 19.12/4.93 |-The branch is then unsatisfiable
% 19.12/4.93 |-Branch two:
% 19.12/4.93 | (969) all_0_53_53 = e4 & ~ (all_0_51_51 = e2)
% 19.12/4.93 |
% 19.12/4.93 | Applying alpha-rule on (969) yields:
% 19.12/4.93 | (409) all_0_53_53 = e4
% 19.12/4.93 | (971) ~ (all_0_51_51 = e2)
% 19.12/4.93 |
% 19.12/4.93 | Combining equations (419,409) yields a new equation:
% 19.12/4.93 | (420) e4 = e3
% 19.12/4.93 |
% 19.12/4.93 | Equations (420) can reduce 199 to:
% 19.12/4.93 | (301) $false
% 19.12/4.93 |
% 19.12/4.93 |-The branch is then unsatisfiable
% 19.12/4.93 |-Branch two:
% 19.12/4.93 | (974) ~ (all_0_42_42 = e4)
% 19.12/4.93 | (975) all_0_42_42 = e1 | all_0_42_42 = e0
% 19.12/4.93 |
% 19.12/4.93 +-Applying beta-rule and splitting (975), into two cases.
% 19.12/4.93 |-Branch one:
% 19.12/4.93 | (976) all_0_42_42 = e0
% 19.12/4.93 |
% 19.12/4.93 | Equations (976) can reduce 680 to:
% 19.12/4.93 | (301) $false
% 19.12/4.93 |
% 19.12/4.93 |-The branch is then unsatisfiable
% 19.12/4.93 |-Branch two:
% 19.12/4.93 | (680) ~ (all_0_42_42 = e0)
% 19.12/4.93 | (979) all_0_42_42 = e1
% 19.12/4.93 |
% 19.12/4.93 | Equations (979) can reduce 785 to:
% 19.12/4.93 | (301) $false
% 19.12/4.93 |
% 19.12/4.93 |-The branch is then unsatisfiable
% 19.12/4.93 |-Branch two:
% 19.12/4.93 | (477) ~ (all_0_45_45 = e1)
% 19.12/4.93 | (982) all_0_49_49 = e1 | all_0_57_57 = e1
% 19.12/4.93 |
% 19.12/4.93 +-Applying beta-rule and splitting (982), into two cases.
% 19.12/4.93 |-Branch one:
% 19.12/4.93 | (487) all_0_49_49 = e1
% 19.12/4.93 |
% 19.12/4.93 | Combining equations (491,487) yields a new equation:
% 19.12/4.93 | (858) e4 = e1
% 19.12/4.93 |
% 19.12/4.93 | Simplifying 858 yields:
% 19.12/4.93 | (484) e4 = e1
% 19.12/4.93 |
% 19.12/4.93 | Equations (484) can reduce 114 to:
% 19.12/4.93 | (301) $false
% 19.12/4.93 |
% 19.12/4.93 |-The branch is then unsatisfiable
% 19.12/4.93 |-Branch two:
% 19.12/4.93 | (478) ~ (all_0_49_49 = e1)
% 19.12/4.93 | (476) all_0_57_57 = e1
% 19.12/4.93 |
% 19.12/4.93 | Combining equations (476,458) yields a new equation:
% 19.12/4.93 | (928) e2 = e1
% 19.12/4.93 |
% 19.12/4.93 | Equations (928) can reduce 122 to:
% 19.12/4.93 | (301) $false
% 19.12/4.93 |
% 19.12/4.93 |-The branch is then unsatisfiable
% 19.12/4.93 |-Branch two:
% 19.12/4.93 | (464) ~ (all_0_49_49 = e4)
% 19.12/4.93 | (487) all_0_49_49 = e1
% 19.12/4.93 |
% 19.12/4.93 | Equations (487) can reduce 478 to:
% 19.12/4.93 | (301) $false
% 19.12/4.93 |
% 19.12/4.93 |-The branch is then unsatisfiable
% 19.12/4.93 |-Branch two:
% 19.12/4.93 | (994) ~ (all_0_40_40 = e3)
% 19.12/4.93 | (995) all_0_45_45 = e3 | all_0_57_57 = e3
% 19.12/4.93 |
% 19.12/4.93 +-Applying beta-rule and splitting (138), into two cases.
% 19.12/4.93 |-Branch one:
% 19.12/4.93 | (694) all_0_39_39 = e3
% 19.12/4.93 |
% 19.12/4.93 | Combining equations (694,344) yields a new equation:
% 19.12/4.94 | (572) e3 = e2
% 19.12/4.94 |
% 19.12/4.94 | Simplifying 572 yields:
% 19.12/4.94 | (573) e3 = e2
% 19.12/4.94 |
% 19.12/4.94 | Equations (573) can reduce 231 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (698) ~ (all_0_39_39 = e3)
% 19.12/4.94 | (1001) all_0_40_40 = e3 | all_0_41_41 = e3
% 19.12/4.94 |
% 19.12/4.94 +-Applying beta-rule and splitting (1001), into two cases.
% 19.12/4.94 |-Branch one:
% 19.12/4.94 | (768) all_0_40_40 = e3
% 19.12/4.94 |
% 19.12/4.94 | Equations (768) can reduce 994 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (994) ~ (all_0_40_40 = e3)
% 19.12/4.94 | (564) all_0_41_41 = e3
% 19.12/4.94 |
% 19.12/4.94 | Combining equations (564,545) yields a new equation:
% 19.12/4.94 | (420) e4 = e3
% 19.12/4.94 |
% 19.12/4.94 | Equations (420) can reduce 199 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (452) ~ (all_0_57_57 = e2)
% 19.12/4.94 | (461) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e1
% 19.12/4.94 |
% 19.12/4.94 +-Applying beta-rule and splitting (461), into two cases.
% 19.12/4.94 |-Branch one:
% 19.12/4.94 | (469) all_0_57_57 = e4
% 19.12/4.94 |
% 19.12/4.94 | Equations (469) can reduce 377 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (377) ~ (all_0_57_57 = e4)
% 19.12/4.94 | (472) all_0_57_57 = e3 | all_0_57_57 = e1
% 19.12/4.94 |
% 19.12/4.94 +-Applying beta-rule and splitting (472), into two cases.
% 19.12/4.94 |-Branch one:
% 19.12/4.94 | (473) all_0_57_57 = e3
% 19.12/4.94 |
% 19.12/4.94 | Equations (473) can reduce 425 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (425) ~ (all_0_57_57 = e3)
% 19.12/4.94 | (476) all_0_57_57 = e1
% 19.12/4.94 |
% 19.12/4.94 | Equations (476) can reduce 726 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (486) ~ (all_0_47_47 = e1)
% 19.12/4.94 | (1020) all_0_55_55 = e1
% 19.12/4.94 |
% 19.12/4.94 | Combining equations (1020,520) yields a new equation:
% 19.12/4.94 | (934) e1 = e0
% 19.12/4.94 |
% 19.12/4.94 | Simplifying 934 yields:
% 19.12/4.94 | (935) e1 = e0
% 19.12/4.94 |
% 19.12/4.94 | Equations (935) can reduce 247 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (1024) ~ (all_0_43_43 = e3)
% 19.12/4.94 | (1025) all_0_52_52 = e3 | all_0_55_55 = e3
% 19.12/4.94 |
% 19.12/4.94 +-Applying beta-rule and splitting (1025), into two cases.
% 19.12/4.94 |-Branch one:
% 19.12/4.94 | (455) all_0_52_52 = e3
% 19.12/4.94 |
% 19.12/4.94 | Combining equations (499,455) yields a new equation:
% 19.12/4.94 | (508) e4 = e3
% 19.12/4.94 |
% 19.12/4.94 | Simplifying 508 yields:
% 19.12/4.94 | (420) e4 = e3
% 19.12/4.94 |
% 19.12/4.94 | Equations (420) can reduce 199 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (506) ~ (all_0_52_52 = e3)
% 19.12/4.94 | (1031) all_0_55_55 = e3
% 19.12/4.94 |
% 19.12/4.94 | Combining equations (520,1031) yields a new equation:
% 19.12/4.94 | (415) e3 = e0
% 19.12/4.94 |
% 19.12/4.94 | Equations (415) can reduce 81 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (319) ~ (all_0_38_38 = e0)
% 19.12/4.94 | (342) all_0_42_42 = e0 | all_0_54_54 = e0
% 19.12/4.94 |
% 19.12/4.94 +-Applying beta-rule and splitting (76), into two cases.
% 19.12/4.94 |-Branch one:
% 19.12/4.94 | (294) all_0_38_38 = e4
% 19.12/4.94 |
% 19.12/4.94 | Equations (294) can reduce 110 to:
% 19.12/4.94 | (1037) ~ (all_0_41_41 = e4)
% 19.12/4.94 |
% 19.12/4.94 | Simplifying 1037 yields:
% 19.12/4.94 | (1038) ~ (all_0_41_41 = e4)
% 19.12/4.94 |
% 19.12/4.94 | Equations (294) can reduce 7 to:
% 19.12/4.94 | (199) ~ (e4 = e3)
% 19.12/4.94 |
% 19.12/4.94 | Equations (294) can reduce 226 to:
% 19.12/4.94 | (42) ~ (e4 = e2)
% 19.12/4.94 |
% 19.12/4.94 | Equations (294) can reduce 319 to:
% 19.12/4.94 | (43) ~ (e4 = e0)
% 19.12/4.94 |
% 19.12/4.94 +-Applying beta-rule and splitting (143), into two cases.
% 19.12/4.94 |-Branch one:
% 19.12/4.94 | (315) all_0_38_38 = e0
% 19.12/4.94 |
% 19.12/4.94 | Combining equations (315,294) yields a new equation:
% 19.12/4.94 | (317) e4 = e0
% 19.12/4.94 |
% 19.12/4.94 | Equations (317) can reduce 43 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (319) ~ (all_0_38_38 = e0)
% 19.12/4.94 | (320) all_0_39_39 = e0 | all_0_41_41 = e0
% 19.12/4.94 |
% 19.12/4.94 | Equations (294) can reduce 319 to:
% 19.12/4.94 | (43) ~ (e4 = e0)
% 19.12/4.94 |
% 19.12/4.94 +-Applying beta-rule and splitting (221), into two cases.
% 19.12/4.94 |-Branch one:
% 19.12/4.94 | (545) all_0_41_41 = e4
% 19.12/4.94 |
% 19.12/4.94 | Equations (545) can reduce 1038 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (1038) ~ (all_0_41_41 = e4)
% 19.12/4.94 | (1051) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_58_58 = e4
% 19.12/4.94 |
% 19.12/4.94 +-Applying beta-rule and splitting (227), into two cases.
% 19.12/4.94 |-Branch one:
% 19.12/4.94 | (737) all_0_42_42 = e2
% 19.12/4.94 |
% 19.12/4.94 | Equations (737) can reduce 277 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (277) ~ (all_0_42_42 = e2)
% 19.12/4.94 | (783) all_0_42_42 = e4 | all_0_42_42 = e1 | all_0_42_42 = e0
% 19.12/4.94 |
% 19.12/4.94 +-Applying beta-rule and splitting (1051), into two cases.
% 19.12/4.94 |-Branch one:
% 19.12/4.94 | (1056) all_0_46_46 = e4
% 19.12/4.94 |
% 19.12/4.94 +-Applying beta-rule and splitting (66), into two cases.
% 19.12/4.94 |-Branch one:
% 19.12/4.94 | (737) all_0_42_42 = e2
% 19.12/4.94 |
% 19.12/4.94 | Equations (737) can reduce 277 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (277) ~ (all_0_42_42 = e2)
% 19.12/4.94 | (740) all_0_43_43 = e2 | all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2
% 19.12/4.94 |
% 19.12/4.94 +-Applying beta-rule and splitting (740), into two cases.
% 19.12/4.94 |-Branch one:
% 19.12/4.94 | (439) all_0_43_43 = e2
% 19.12/4.94 |
% 19.12/4.94 | Equations (439) can reduce 275 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (275) ~ (all_0_43_43 = e2)
% 19.12/4.94 | (746) all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2
% 19.12/4.94 |
% 19.12/4.94 +-Applying beta-rule and splitting (746), into two cases.
% 19.12/4.94 |-Branch one:
% 19.12/4.94 | (747) all_0_44_44 = e2
% 19.12/4.94 |
% 19.12/4.94 | Combining equations (747,383) yields a new equation:
% 19.12/4.94 | (352) e2 = e0
% 19.12/4.94 |
% 19.12/4.94 | Simplifying 352 yields:
% 19.12/4.94 | (345) e2 = e0
% 19.12/4.94 |
% 19.12/4.94 | Equations (345) can reduce 133 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (261) ~ (all_0_44_44 = e2)
% 19.12/4.94 | (751) all_0_45_45 = e2 | all_0_46_46 = e2
% 19.12/4.94 |
% 19.12/4.94 +-Applying beta-rule and splitting (751), into two cases.
% 19.12/4.94 |-Branch one:
% 19.12/4.94 | (752) all_0_45_45 = e2
% 19.12/4.94 |
% 19.12/4.94 | Equations (752) can reduce 163 to:
% 19.12/4.94 | (133) ~ (e2 = e0)
% 19.12/4.94 |
% 19.12/4.94 +-Applying beta-rule and splitting (320), into two cases.
% 19.12/4.94 |-Branch one:
% 19.12/4.94 | (323) all_0_39_39 = e0
% 19.12/4.94 |
% 19.12/4.94 | Combining equations (323,344) yields a new equation:
% 19.12/4.94 | (345) e2 = e0
% 19.12/4.94 |
% 19.12/4.94 | Equations (345) can reduce 133 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (322) ~ (all_0_39_39 = e0)
% 19.12/4.94 | (326) all_0_41_41 = e0
% 19.12/4.94 |
% 19.12/4.94 | Equations (326) can reduce 309 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (730) ~ (all_0_45_45 = e2)
% 19.12/4.94 | (571) all_0_46_46 = e2
% 19.12/4.94 |
% 19.12/4.94 | Combining equations (571,1056) yields a new equation:
% 19.12/4.94 | (504) e4 = e2
% 19.12/4.94 |
% 19.12/4.94 | Equations (504) can reduce 42 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (1083) ~ (all_0_46_46 = e4)
% 19.12/4.94 | (1084) all_0_50_50 = e4 | all_0_58_58 = e4
% 19.12/4.94 |
% 19.12/4.94 +-Applying beta-rule and splitting (1084), into two cases.
% 19.12/4.94 |-Branch one:
% 19.12/4.94 | (335) all_0_50_50 = e4
% 19.12/4.94 |
% 19.12/4.94 | Combining equations (356,335) yields a new equation:
% 19.12/4.94 | (317) e4 = e0
% 19.12/4.94 |
% 19.12/4.94 | Equations (317) can reduce 43 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (359) ~ (all_0_50_50 = e4)
% 19.12/4.94 | (304) all_0_58_58 = e4
% 19.12/4.94 |
% 19.12/4.94 | Combining equations (304,366) yields a new equation:
% 19.12/4.94 | (508) e4 = e3
% 19.12/4.94 |
% 19.12/4.94 | Simplifying 508 yields:
% 19.12/4.94 | (420) e4 = e3
% 19.12/4.94 |
% 19.12/4.94 | Equations (420) can reduce 199 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (540) ~ (all_0_38_38 = e4)
% 19.12/4.94 | (315) all_0_38_38 = e0
% 19.12/4.94 |
% 19.12/4.94 | Equations (315) can reduce 319 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (422) ~ (all_0_53_53 = e3)
% 19.12/4.94 | (423) all_0_56_56 = e3
% 19.12/4.94 |
% 19.12/4.94 | Combining equations (423,523) yields a new equation:
% 19.12/4.94 | (420) e4 = e3
% 19.12/4.94 |
% 19.12/4.94 | Equations (420) can reduce 199 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (347) ~ (all_0_39_39 = e2)
% 19.12/4.94 | (348) all_0_43_43 = e2 | all_0_47_47 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2
% 19.12/4.94 |
% 19.12/4.94 +-Applying beta-rule and splitting (348), into two cases.
% 19.12/4.94 |-Branch one:
% 19.12/4.94 | (439) all_0_43_43 = e2
% 19.12/4.94 |
% 19.12/4.94 | Equations (439) can reduce 275 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (275) ~ (all_0_43_43 = e2)
% 19.12/4.94 | (442) all_0_47_47 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2
% 19.12/4.94 |
% 19.12/4.94 +-Applying beta-rule and splitting (442), into two cases.
% 19.12/4.94 |-Branch one:
% 19.12/4.94 | (443) all_0_47_47 = e2
% 19.12/4.94 |
% 19.12/4.94 | Equations (443) can reduce 262 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (262) ~ (all_0_47_47 = e2)
% 19.12/4.94 | (446) all_0_52_52 = e2 | all_0_55_55 = e2
% 19.12/4.94 |
% 19.12/4.94 +-Applying beta-rule and splitting (446), into two cases.
% 19.12/4.94 |-Branch one:
% 19.12/4.94 | (447) all_0_52_52 = e2
% 19.12/4.94 |
% 19.12/4.94 | Combining equations (499,447) yields a new equation:
% 19.12/4.94 | (553) e4 = e2
% 19.12/4.94 |
% 19.12/4.94 | Simplifying 553 yields:
% 19.12/4.94 | (504) e4 = e2
% 19.12/4.94 |
% 19.12/4.94 | Equations (504) can reduce 42 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (279) ~ (all_0_52_52 = e2)
% 19.12/4.94 | (450) all_0_55_55 = e2
% 19.12/4.94 |
% 19.12/4.94 | Combining equations (450,520) yields a new equation:
% 19.12/4.94 | (352) e2 = e0
% 19.12/4.94 |
% 19.12/4.94 | Simplifying 352 yields:
% 19.12/4.94 | (345) e2 = e0
% 19.12/4.94 |
% 19.12/4.94 | Equations (345) can reduce 133 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.94 |-Branch two:
% 19.12/4.94 | (410) ~ (all_0_52_52 = e4)
% 19.12/4.94 | (409) all_0_53_53 = e4
% 19.12/4.94 |
% 19.12/4.94 | Equations (409) can reduce 522 to:
% 19.12/4.94 | (301) $false
% 19.12/4.94 |
% 19.12/4.94 |-The branch is then unsatisfiable
% 19.12/4.95 |-Branch two:
% 19.12/4.95 | (376) ~ (all_0_56_56 = e4)
% 19.12/4.95 | (1123) all_0_56_56 = e3 | all_0_56_56 = e0
% 19.12/4.95 |
% 19.12/4.95 +-Applying beta-rule and splitting (1123), into two cases.
% 19.12/4.95 |-Branch one:
% 19.12/4.95 | (538) all_0_56_56 = e0
% 19.12/4.95 |
% 19.12/4.95 | Equations (538) can reduce 374 to:
% 19.12/4.95 | (301) $false
% 19.12/4.95 |
% 19.12/4.95 |-The branch is then unsatisfiable
% 19.12/4.95 |-Branch two:
% 19.12/4.95 | (374) ~ (all_0_56_56 = e0)
% 19.12/4.95 | (423) all_0_56_56 = e3
% 19.12/4.95 |
% 19.12/4.95 | Equations (423) can reduce 596 to:
% 19.12/4.95 | (301) $false
% 19.12/4.95 |
% 19.12/4.95 |-The branch is then unsatisfiable
% 19.12/4.95 |-Branch two:
% 19.12/4.95 | (525) ~ (all_0_44_44 = e0)
% 19.12/4.95 | (526) all_0_48_48 = e0 | all_0_56_56 = e0
% 19.12/4.95 |
% 19.12/4.95 +-Applying beta-rule and splitting (179), into two cases.
% 19.12/4.95 |-Branch one:
% 19.12/4.95 | (637) all_0_56_56 = e2
% 19.12/4.95 |
% 19.12/4.95 | Equations (637) can reduce 270 to:
% 19.12/4.95 | (301) $false
% 19.12/4.95 |
% 19.12/4.95 |-The branch is then unsatisfiable
% 19.12/4.95 |-Branch two:
% 19.12/4.95 | (270) ~ (all_0_56_56 = e2)
% 19.12/4.95 | (640) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0
% 19.12/4.95 |
% 19.12/4.95 +-Applying beta-rule and splitting (640), into two cases.
% 19.12/4.95 |-Branch one:
% 19.12/4.95 | (523) all_0_56_56 = e4
% 19.12/4.95 |
% 19.12/4.95 | Equations (523) can reduce 374 to:
% 19.12/4.95 | (43) ~ (e4 = e0)
% 19.12/4.95 |
% 19.12/4.95 +-Applying beta-rule and splitting (603), into two cases.
% 19.12/4.95 |-Branch one:
% 19.12/4.95 | (450) all_0_55_55 = e2
% 19.12/4.95 |
% 19.12/4.95 | Combining equations (520,450) yields a new equation:
% 19.12/4.95 | (345) e2 = e0
% 19.12/4.95 |
% 19.12/4.95 | Equations (345) can reduce 133 to:
% 19.12/4.95 | (301) $false
% 19.12/4.95 |
% 19.12/4.95 |-The branch is then unsatisfiable
% 19.12/4.95 |-Branch two:
% 19.12/4.95 | (1140) ~ (all_0_55_55 = e2)
% 19.12/4.95 | (1141) all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2
% 19.12/4.95 |
% 19.12/4.95 | Equations (520) can reduce 1140 to:
% 19.12/4.95 | (313) ~ (e2 = e0)
% 19.12/4.95 |
% 19.12/4.95 | Simplifying 313 yields:
% 19.12/4.95 | (133) ~ (e2 = e0)
% 19.12/4.95 |
% 19.12/4.95 +-Applying beta-rule and splitting (526), into two cases.
% 19.12/4.95 |-Branch one:
% 19.12/4.95 | (351) all_0_48_48 = e0
% 19.12/4.95 |
% 19.12/4.95 | Combining equations (260,351) yields a new equation:
% 19.12/4.95 | (352) e2 = e0
% 19.12/4.95 |
% 19.12/4.95 | Simplifying 352 yields:
% 19.12/4.95 | (345) e2 = e0
% 19.12/4.95 |
% 19.12/4.95 | Equations (345) can reduce 133 to:
% 19.12/4.95 | (301) $false
% 19.12/4.95 |
% 19.12/4.95 |-The branch is then unsatisfiable
% 19.12/4.95 |-Branch two:
% 19.12/4.95 | (259) ~ (all_0_48_48 = e0)
% 19.12/4.95 | (538) all_0_56_56 = e0
% 19.12/4.95 |
% 19.12/4.95 | Combining equations (523,538) yields a new equation:
% 19.12/4.95 | (316) e4 = e0
% 19.12/4.95 |
% 19.12/4.95 | Simplifying 316 yields:
% 19.12/4.95 | (317) e4 = e0
% 19.12/4.95 |
% 19.12/4.95 | Equations (317) can reduce 43 to:
% 19.12/4.95 | (301) $false
% 19.12/4.95 |
% 19.12/4.95 |-The branch is then unsatisfiable
% 19.12/4.95 |-Branch two:
% 19.12/4.95 | (376) ~ (all_0_56_56 = e4)
% 19.12/4.95 | (1123) all_0_56_56 = e3 | all_0_56_56 = e0
% 19.12/4.95 |
% 19.12/4.95 +-Applying beta-rule and splitting (1123), into two cases.
% 19.12/4.95 |-Branch one:
% 19.12/4.95 | (538) all_0_56_56 = e0
% 19.12/4.95 |
% 19.12/4.95 | Equations (538) can reduce 374 to:
% 19.12/4.95 | (301) $false
% 19.12/4.95 |
% 19.12/4.95 |-The branch is then unsatisfiable
% 19.12/4.95 |-Branch two:
% 19.12/4.95 | (374) ~ (all_0_56_56 = e0)
% 19.12/4.95 | (423) all_0_56_56 = e3
% 19.12/4.95 |
% 19.12/4.95 | Equations (423) can reduce 596 to:
% 19.12/4.95 | (301) $false
% 19.12/4.95 |
% 19.12/4.95 |-The branch is then unsatisfiable
% 19.12/4.95 |-Branch two:
% 19.12/4.95 | (971) ~ (all_0_51_51 = e2)
% 19.12/4.95 | (654) all_0_51_51 = e4
% 19.12/4.95 |
% 19.12/4.95 | Equations (654) can reduce 232 to:
% 19.12/4.95 | (540) ~ (all_0_38_38 = e4)
% 19.12/4.95 |
% 19.12/4.95 | Equations (654) can reduce 971 to:
% 19.12/4.95 | (42) ~ (e4 = e2)
% 19.12/4.95 |
% 19.12/4.95 +-Applying beta-rule and splitting (76), into two cases.
% 19.12/4.95 |-Branch one:
% 19.12/4.95 | (294) all_0_38_38 = e4
% 19.12/4.95 |
% 19.12/4.95 | Equations (294) can reduce 540 to:
% 19.12/4.95 | (301) $false
% 19.12/4.95 |
% 19.12/4.95 |-The branch is then unsatisfiable
% 19.12/4.95 |-Branch two:
% 19.12/4.95 | (540) ~ (all_0_38_38 = e4)
% 19.12/4.95 | (315) all_0_38_38 = e0
% 19.12/4.95 |
% 19.12/4.95 | Equations (315) can reduce 3 to:
% 19.12/4.95 | (1168) ~ (all_0_39_39 = e0)
% 19.12/4.95 |
% 19.12/4.95 | Simplifying 1168 yields:
% 19.12/4.95 | (322) ~ (all_0_39_39 = e0)
% 19.12/4.95 |
% 19.12/4.95 +-Applying beta-rule and splitting (170), into two cases.
% 19.12/4.95 |-Branch one:
% 19.12/4.95 | (319) ~ (all_0_38_38 = e0)
% 19.12/4.95 |
% 19.12/4.95 | Equations (315) can reduce 319 to:
% 19.12/4.95 | (301) $false
% 19.12/4.95 |
% 19.12/4.95 |-The branch is then unsatisfiable
% 19.12/4.95 |-Branch two:
% 19.12/4.95 | (315) all_0_38_38 = e0
% 19.12/4.95 | (545) all_0_41_41 = e4
% 19.12/4.95 |
% 19.12/4.95 | Equations (545) can reduce 11 to:
% 19.12/4.95 | (296) ~ (all_0_39_39 = e4)
% 19.12/4.95 |
% 19.12/4.95 | Equations (545) can reduce 126 to:
% 19.12/4.95 | (1175) ~ (all_0_46_46 = e4)
% 19.12/4.95 |
% 19.12/4.95 | Simplifying 1175 yields:
% 19.12/4.95 | (1083) ~ (all_0_46_46 = e4)
% 19.12/4.95 |
% 19.12/4.95 +-Applying beta-rule and splitting (161), into two cases.
% 19.12/4.95 |-Branch one:
% 19.12/4.95 | (552) all_0_41_41 = e2
% 19.12/4.95 |
% 19.12/4.95 | Combining equations (545,552) yields a new equation:
% 19.12/4.95 | (553) e4 = e2
% 19.12/4.95 |
% 19.12/4.95 | Simplifying 553 yields:
% 19.12/4.95 | (504) e4 = e2
% 19.12/4.95 |
% 19.12/4.95 | Equations (504) can reduce 42 to:
% 19.12/4.95 | (301) $false
% 19.12/4.95 |
% 19.12/4.95 |-The branch is then unsatisfiable
% 19.12/4.95 |-Branch two:
% 19.12/4.95 | (556) ~ (all_0_41_41 = e2)
% 19.12/4.95 | (557) all_0_46_46 = e2 | all_0_50_50 = e2 | all_0_58_58 = e2
% 19.12/4.95 |
% 19.12/4.95 +-Applying beta-rule and splitting (557), into two cases.
% 19.12/4.95 |-Branch one:
% 19.12/4.95 | (571) all_0_46_46 = e2
% 19.12/4.95 |
% 19.12/4.95 | Equations (571) can reduce 14 to:
% 19.12/4.95 | (277) ~ (all_0_42_42 = e2)
% 19.12/4.95 |
% 19.12/4.95 | Equations (571) can reduce 1083 to:
% 19.12/4.95 | (271) ~ (e4 = e2)
% 19.12/4.95 |
% 19.12/4.95 | Simplifying 271 yields:
% 19.12/4.95 | (42) ~ (e4 = e2)
% 19.12/4.95 |
% 19.12/4.95 +-Applying beta-rule and splitting (92), into two cases.
% 19.12/4.95 |-Branch one:
% 19.12/4.95 | (276) all_0_51_51 = e2
% 19.12/4.95 |
% 19.12/4.95 | Combining equations (276,654) yields a new equation:
% 19.12/4.95 | (504) e4 = e2
% 19.12/4.95 |
% 19.12/4.95 | Equations (504) can reduce 42 to:
% 19.12/4.95 | (301) $false
% 19.12/4.95 |
% 19.12/4.95 |-The branch is then unsatisfiable
% 19.12/4.95 |-Branch two:
% 19.12/4.95 | (971) ~ (all_0_51_51 = e2)
% 19.12/4.95 | (1191) all_0_52_52 = e2 | all_0_53_53 = e2
% 19.12/4.95 |
% 19.12/4.95 | Equations (654) can reduce 971 to:
% 19.12/4.95 | (42) ~ (e4 = e2)
% 19.12/4.95 |
% 19.12/4.95 +-Applying beta-rule and splitting (145), into two cases.
% 19.12/4.95 |-Branch one:
% 19.12/4.95 | (737) all_0_42_42 = e2
% 19.12/4.95 |
% 19.12/4.95 | Equations (737) can reduce 277 to:
% 19.12/4.95 | (301) $false
% 19.12/4.95 |
% 19.12/4.95 |-The branch is then unsatisfiable
% 19.12/4.95 |-Branch two:
% 19.12/4.95 | (277) ~ (all_0_42_42 = e2)
% 19.12/4.95 | (1196) all_0_51_51 = e2 | all_0_54_54 = e2
% 19.12/4.95 |
% 19.12/4.95 +-Applying beta-rule and splitting (1196), into two cases.
% 19.12/4.95 |-Branch one:
% 19.12/4.95 | (276) all_0_51_51 = e2
% 19.12/4.95 |
% 19.12/4.95 | Combining equations (276,654) yields a new equation:
% 19.12/4.95 | (504) e4 = e2
% 19.12/4.95 |
% 19.12/4.95 | Equations (504) can reduce 42 to:
% 19.12/4.95 | (301) $false
% 19.12/4.95 |
% 19.12/4.95 |-The branch is then unsatisfiable
% 19.12/4.95 |-Branch two:
% 19.12/4.95 | (971) ~ (all_0_51_51 = e2)
% 19.12/4.95 | (600) all_0_54_54 = e2
% 19.12/4.95 |
% 19.12/4.95 | Equations (600) can reduce 206 to:
% 19.12/4.95 | (284) ~ (e3 = e2)
% 19.12/4.95 |
% 19.12/4.95 | Simplifying 284 yields:
% 19.12/4.95 | (231) ~ (e3 = e2)
% 19.12/4.95 |
% 19.12/4.95 +-Applying beta-rule and splitting (1191), into two cases.
% 19.12/4.95 |-Branch one:
% 19.12/4.95 | (447) all_0_52_52 = e2
% 19.12/4.95 |
% 19.12/4.95 | Equations (447) can reduce 129 to:
% 19.12/4.95 | (347) ~ (all_0_39_39 = e2)
% 19.12/4.95 |
% 19.12/4.95 | Equations (447) can reduce 240 to:
% 19.12/4.95 | (275) ~ (all_0_43_43 = e2)
% 19.12/4.95 |
% 19.12/4.95 | Equations (447) can reduce 70 to:
% 19.12/4.95 | (122) ~ (e2 = e1)
% 19.12/4.95 |
% 19.12/4.95 +-Applying beta-rule and splitting (53), into two cases.
% 19.12/4.95 |-Branch one:
% 19.12/4.95 | (344) all_0_39_39 = e2
% 19.12/4.95 |
% 19.12/4.95 | Equations (344) can reduce 347 to:
% 19.12/4.95 | (301) $false
% 19.12/4.95 |
% 19.12/4.95 |-The branch is then unsatisfiable
% 19.12/4.95 |-Branch two:
% 19.12/4.95 | (347) ~ (all_0_39_39 = e2)
% 19.12/4.95 | (1211) all_0_40_40 = e2 | all_0_41_41 = e2
% 19.12/4.95 |
% 19.12/4.95 +-Applying beta-rule and splitting (186), into two cases.
% 19.12/4.95 |-Branch one:
% 19.12/4.95 | (979) all_0_42_42 = e1
% 19.12/4.95 |
% 19.12/4.95 | Equations (979) can reduce 8 to:
% 19.12/4.95 | (1213) ~ (all_0_43_43 = e1)
% 19.12/4.95 |
% 19.12/4.95 | Simplifying 1213 yields:
% 19.12/4.95 | (710) ~ (all_0_43_43 = e1)
% 19.12/4.95 |
% 19.12/4.95 +-Applying beta-rule and splitting (244), into two cases.
% 19.12/4.95 |-Branch one:
% 19.12/4.95 | (344) all_0_39_39 = e2
% 19.12/4.95 |
% 19.12/4.95 | Equations (344) can reduce 347 to:
% 19.12/4.95 | (301) $false
% 19.12/4.95 |
% 19.12/4.95 |-The branch is then unsatisfiable
% 19.12/4.95 |-Branch two:
% 19.12/4.95 | (347) ~ (all_0_39_39 = e2)
% 19.12/4.95 | (1218) all_0_39_39 = e4 | all_0_39_39 = e3 | all_0_39_39 = e0
% 19.12/4.95 |
% 19.12/4.95 +-Applying beta-rule and splitting (1218), into two cases.
% 19.12/4.95 |-Branch one:
% 19.12/4.95 | (428) all_0_39_39 = e4
% 19.12/4.95 |
% 19.12/4.95 | Equations (428) can reduce 296 to:
% 19.12/4.95 | (301) $false
% 19.12/4.95 |
% 19.12/4.95 |-The branch is then unsatisfiable
% 19.12/4.95 |-Branch two:
% 19.12/4.95 | (296) ~ (all_0_39_39 = e4)
% 19.12/4.95 | (1222) all_0_39_39 = e3 | all_0_39_39 = e0
% 19.12/4.95 |
% 19.12/4.95 +-Applying beta-rule and splitting (13), into two cases.
% 19.12/4.95 |-Branch one:
% 19.12/4.95 | (384) ~ (all_0_43_43 = e0)
% 19.12/4.95 |
% 19.12/4.95 +-Applying beta-rule and splitting (204), into two cases.
% 19.12/4.95 |-Branch one:
% 19.12/4.95 | (439) all_0_43_43 = e2
% 19.12/4.95 |
% 19.12/4.95 | Equations (439) can reduce 275 to:
% 19.12/4.95 | (301) $false
% 19.12/4.95 |
% 19.12/4.95 |-The branch is then unsatisfiable
% 19.12/4.95 |-Branch two:
% 19.12/4.95 | (275) ~ (all_0_43_43 = e2)
% 19.12/4.95 | (1227) all_0_43_43 = e3 | all_0_43_43 = e1 | all_0_43_43 = e0
% 19.12/4.95 |
% 19.12/4.95 +-Applying beta-rule and splitting (1227), into two cases.
% 19.12/4.95 |-Branch one:
% 19.12/4.95 | (513) all_0_43_43 = e0
% 19.12/4.95 |
% 19.12/4.95 | Equations (513) can reduce 384 to:
% 19.12/4.95 | (301) $false
% 19.12/4.95 |
% 19.12/4.95 |-The branch is then unsatisfiable
% 19.12/4.95 |-Branch two:
% 19.12/4.95 | (384) ~ (all_0_43_43 = e0)
% 19.12/4.95 | (1231) all_0_43_43 = e3 | all_0_43_43 = e1
% 19.12/4.95 |
% 19.12/4.95 +-Applying beta-rule and splitting (1222), into two cases.
% 19.12/4.95 |-Branch one:
% 19.12/4.95 | (323) all_0_39_39 = e0
% 19.12/4.95 |
% 19.12/4.95 | Equations (323) can reduce 322 to:
% 19.12/4.95 | (301) $false
% 19.12/4.95 |
% 19.12/4.95 |-The branch is then unsatisfiable
% 19.12/4.95 |-Branch two:
% 19.12/4.95 | (322) ~ (all_0_39_39 = e0)
% 19.12/4.95 | (694) all_0_39_39 = e3
% 19.12/4.95 |
% 19.12/4.95 | Equations (694) can reduce 155 to:
% 19.12/4.95 | (1236) ~ (all_0_43_43 = e3)
% 19.12/4.95 |
% 19.12/4.95 | Simplifying 1236 yields:
% 19.12/4.95 | (1024) ~ (all_0_43_43 = e3)
% 19.12/4.95 |
% 19.12/4.95 +-Applying beta-rule and splitting (1231), into two cases.
% 19.12/4.95 |-Branch one:
% 19.12/4.95 | (700) all_0_43_43 = e3
% 19.12/4.95 |
% 19.12/4.95 | Equations (700) can reduce 1024 to:
% 19.12/4.95 | (301) $false
% 19.12/4.95 |
% 19.12/4.95 |-The branch is then unsatisfiable
% 19.12/4.95 |-Branch two:
% 19.12/4.95 | (1024) ~ (all_0_43_43 = e3)
% 19.12/4.95 | (706) all_0_43_43 = e1
% 19.12/4.95 |
% 19.12/4.95 | Equations (706) can reduce 710 to:
% 19.12/4.95 | (301) $false
% 19.12/4.95 |
% 19.12/4.95 |-The branch is then unsatisfiable
% 19.12/4.95 |-Branch two:
% 19.12/4.95 | (513) all_0_43_43 = e0
% 19.12/4.95 | (570) all_0_46_46 = e3
% 19.12/4.95 |
% 19.12/4.95 | Combining equations (570,571) yields a new equation:
% 19.12/4.95 | (572) e3 = e2
% 19.12/4.95 |
% 19.12/4.95 | Simplifying 572 yields:
% 19.12/4.95 | (573) e3 = e2
% 19.12/4.96 |
% 19.12/4.96 | Equations (573) can reduce 231 to:
% 19.12/4.96 | (301) $false
% 19.12/4.96 |
% 19.12/4.96 |-The branch is then unsatisfiable
% 19.12/4.96 |-Branch two:
% 19.12/4.96 | (785) ~ (all_0_42_42 = e1)
% 19.12/4.96 | (724) all_0_54_54 = e1
% 19.12/4.96 |
% 19.12/4.96 | Combining equations (600,724) yields a new equation:
% 19.12/4.96 | (1250) e2 = e1
% 19.12/4.96 |
% 19.12/4.96 | Simplifying 1250 yields:
% 19.12/4.96 | (928) e2 = e1
% 19.12/4.96 |
% 19.12/4.96 | Equations (928) can reduce 122 to:
% 19.12/4.96 | (301) $false
% 19.12/4.96 |
% 19.12/4.96 |-The branch is then unsatisfiable
% 19.12/4.96 |-Branch two:
% 19.12/4.96 | (279) ~ (all_0_52_52 = e2)
% 19.12/4.96 | (1254) all_0_53_53 = e2
% 19.12/4.96 |
% 19.12/4.96 | Equations (1254) can reduce 268 to:
% 19.12/4.96 | (301) $false
% 19.12/4.96 |
% 19.12/4.96 |-The branch is then unsatisfiable
% 19.12/4.96 |-Branch two:
% 19.12/4.96 | (575) ~ (all_0_46_46 = e2)
% 19.12/4.96 | (576) all_0_50_50 = e2 | all_0_58_58 = e2
% 19.12/4.96 |
% 19.12/4.96 +-Applying beta-rule and splitting (576), into two cases.
% 19.12/4.96 |-Branch one:
% 19.12/4.96 | (331) all_0_50_50 = e2
% 19.12/4.96 |
% 19.12/4.96 | Equations (331) can reduce 266 to:
% 19.12/4.96 | (301) $false
% 19.12/4.96 |
% 19.12/4.96 |-The branch is then unsatisfiable
% 19.12/4.96 |-Branch two:
% 19.12/4.96 | (266) ~ (all_0_50_50 = e2)
% 19.12/4.96 | (300) all_0_58_58 = e2
% 19.12/4.96 |
% 19.12/4.96 | Equations (300) can reduce 274 to:
% 19.12/4.96 | (301) $false
% 19.12/4.96 |
% 19.12/4.96 |-The branch is then unsatisfiable
% 19.12/4.96 |-Branch two:
% 19.12/4.96 | (439) all_0_43_43 = e2
% 19.12/4.96 | (413) all_0_44_44 = e3
% 19.12/4.96 |
% 19.12/4.96 | Equations (439) can reduce 155 to:
% 19.12/4.96 | (347) ~ (all_0_39_39 = e2)
% 19.12/4.96 |
% 19.12/4.96 | Equations (439) can reduce 174 to:
% 19.12/4.96 | (1266) ~ (all_0_46_46 = e2)
% 19.12/4.96 |
% 19.12/4.96 | Simplifying 1266 yields:
% 19.12/4.96 | (575) ~ (all_0_46_46 = e2)
% 19.12/4.96 |
% 19.12/4.96 | Equations (439) can reduce 240 to:
% 19.12/4.96 | (278) ~ (all_0_52_52 = e2)
% 19.12/4.96 |
% 19.12/4.96 | Simplifying 278 yields:
% 19.12/4.96 | (279) ~ (all_0_52_52 = e2)
% 19.12/4.96 |
% 19.12/4.96 | Equations (439) can reduce 16 to:
% 19.12/4.96 | (1270) ~ (all_0_55_55 = e2)
% 19.12/4.96 |
% 19.12/4.96 | Simplifying 1270 yields:
% 19.12/4.96 | (1140) ~ (all_0_55_55 = e2)
% 19.12/4.96 |
% 19.12/4.96 | Equations (439) can reduce 64 to:
% 19.12/4.96 | (271) ~ (e4 = e2)
% 19.12/4.96 |
% 19.12/4.96 | Simplifying 271 yields:
% 19.12/4.96 | (42) ~ (e4 = e2)
% 19.12/4.96 |
% 19.12/4.96 | Equations (413) can reduce 109 to:
% 19.12/4.96 | (1274) ~ (all_0_53_53 = e3)
% 19.12/4.96 |
% 19.12/4.96 | Simplifying 1274 yields:
% 19.12/4.96 | (422) ~ (all_0_53_53 = e3)
% 19.12/4.96 |
% 19.12/4.96 +-Applying beta-rule and splitting (47), into two cases.
% 19.12/4.96 |-Branch one:
% 19.12/4.96 | (383) all_0_44_44 = e0
% 19.12/4.96 |
% 19.12/4.96 | Combining equations (413,383) yields a new equation:
% 19.12/4.96 | (414) e3 = e0
% 19.12/4.96 |
% 19.12/4.96 | Simplifying 414 yields:
% 19.12/4.96 | (415) e3 = e0
% 19.12/4.96 |
% 19.12/4.96 | Equations (415) can reduce 81 to:
% 19.12/4.96 | (301) $false
% 19.12/4.96 |
% 19.12/4.96 |-The branch is then unsatisfiable
% 19.12/4.96 |-Branch two:
% 19.12/4.96 | (525) ~ (all_0_44_44 = e0)
% 19.12/4.96 | (526) all_0_48_48 = e0 | all_0_56_56 = e0
% 19.12/4.96 |
% 19.12/4.96 +-Applying beta-rule and splitting (161), into two cases.
% 19.12/4.96 |-Branch one:
% 19.12/4.96 | (552) all_0_41_41 = e2
% 19.12/4.96 |
% 19.12/4.96 | Equations (552) can reduce 11 to:
% 19.12/4.96 | (347) ~ (all_0_39_39 = e2)
% 19.12/4.96 |
% 19.12/4.96 | Equations (552) can reduce 224 to:
% 19.12/4.96 | (1284) ~ (all_0_58_58 = e2)
% 19.12/4.96 |
% 19.12/4.96 | Simplifying 1284 yields:
% 19.12/4.96 | (274) ~ (all_0_58_58 = e2)
% 19.12/4.96 |
% 19.12/4.96 +-Applying beta-rule and splitting (170), into two cases.
% 19.12/4.96 |-Branch one:
% 19.12/4.96 | (319) ~ (all_0_38_38 = e0)
% 19.12/4.96 |
% 19.12/4.96 +-Applying beta-rule and splitting (526), into two cases.
% 19.12/4.96 |-Branch one:
% 19.12/4.96 | (351) all_0_48_48 = e0
% 19.12/4.96 |
% 19.12/4.96 | Combining equations (351,260) yields a new equation:
% 19.12/4.96 | (345) e2 = e0
% 19.12/4.96 |
% 19.12/4.96 | Equations (345) can reduce 133 to:
% 19.12/4.96 | (301) $false
% 19.12/4.96 |
% 19.12/4.96 |-The branch is then unsatisfiable
% 19.12/4.96 |-Branch two:
% 19.12/4.96 | (259) ~ (all_0_48_48 = e0)
% 19.12/4.96 | (538) all_0_56_56 = e0
% 19.12/4.96 |
% 19.12/4.96 | Equations (538) can reduce 190 to:
% 19.12/4.96 | (682) ~ (all_0_54_54 = e0)
% 19.12/4.96 |
% 19.12/4.96 | Equations (538) can reduce 194 to:
% 19.12/4.96 | (372) ~ (all_0_55_55 = e0)
% 19.12/4.96 |
% 19.12/4.96 +-Applying beta-rule and splitting (248), into two cases.
% 19.12/4.96 |-Branch one:
% 19.12/4.96 | (299) ~ (all_0_58_58 = e4)
% 19.12/4.96 |
% 19.12/4.96 +-Applying beta-rule and splitting (35), into two cases.
% 19.12/4.96 |-Branch one:
% 19.12/4.96 | (293) ~ (all_0_58_58 = e3)
% 19.12/4.96 |
% 19.12/4.96 +-Applying beta-rule and splitting (164), into two cases.
% 19.12/4.96 |-Branch one:
% 19.12/4.96 | (300) all_0_58_58 = e2
% 19.12/4.96 |
% 19.12/4.96 | Equations (300) can reduce 274 to:
% 19.12/4.96 | (301) $false
% 19.12/4.96 |
% 19.12/4.96 |-The branch is then unsatisfiable
% 19.12/4.96 |-Branch two:
% 19.12/4.96 | (274) ~ (all_0_58_58 = e2)
% 19.12/4.96 | (303) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e0
% 19.12/4.96 |
% 19.12/4.96 +-Applying beta-rule and splitting (27), into two cases.
% 19.12/4.96 |-Branch one:
% 19.12/4.96 | (315) all_0_38_38 = e0
% 19.12/4.96 |
% 19.12/4.96 | Equations (315) can reduce 319 to:
% 19.12/4.96 | (301) $false
% 19.12/4.96 |
% 19.12/4.96 |-The branch is then unsatisfiable
% 19.12/4.96 |-Branch two:
% 19.12/4.96 | (319) ~ (all_0_38_38 = e0)
% 19.12/4.96 | (342) all_0_42_42 = e0 | all_0_54_54 = e0
% 19.12/4.96 |
% 19.12/4.96 +-Applying beta-rule and splitting (56), into two cases.
% 19.12/4.96 |-Branch one:
% 19.12/4.96 | (1254) all_0_53_53 = e2
% 19.12/4.96 |
% 19.12/4.96 | Equations (1254) can reduce 268 to:
% 19.12/4.96 | (301) $false
% 19.12/4.96 |
% 19.12/4.96 |-The branch is then unsatisfiable
% 19.12/4.96 |-Branch two:
% 19.12/4.96 | (268) ~ (all_0_53_53 = e2)
% 19.12/4.96 | (1307) all_0_53_53 = e4 | all_0_53_53 = e3
% 19.12/4.96 |
% 19.12/4.96 +-Applying beta-rule and splitting (1307), into two cases.
% 19.12/4.96 |-Branch one:
% 19.12/4.96 | (409) all_0_53_53 = e4
% 19.12/4.96 |
% 19.12/4.96 | Equations (409) can reduce 216 to:
% 19.12/4.96 | (657) ~ (all_0_51_51 = e4)
% 19.12/4.96 |
% 19.12/4.96 +-Applying beta-rule and splitting (61), into two cases.
% 19.12/4.96 |-Branch one:
% 19.12/4.96 | (276) all_0_51_51 = e2
% 19.12/4.96 |
% 19.12/4.96 | Equations (276) can reduce 78 to:
% 19.12/4.96 | (133) ~ (e2 = e0)
% 19.12/4.96 |
% 19.12/4.96 +-Applying beta-rule and splitting (76), into two cases.
% 19.12/4.96 |-Branch one:
% 19.12/4.96 | (294) all_0_38_38 = e4
% 19.12/4.96 |
% 19.12/4.96 | Equations (294) can reduce 319 to:
% 19.12/4.96 | (43) ~ (e4 = e0)
% 19.12/4.96 |
% 19.12/4.96 +-Applying beta-rule and splitting (143), into two cases.
% 19.12/4.96 |-Branch one:
% 19.12/4.96 | (315) all_0_38_38 = e0
% 19.12/4.96 |
% 19.12/4.96 | Combining equations (315,294) yields a new equation:
% 19.12/4.96 | (317) e4 = e0
% 19.12/4.96 |
% 19.12/4.96 | Equations (317) can reduce 43 to:
% 19.12/4.96 | (301) $false
% 19.12/4.96 |
% 19.12/4.96 |-The branch is then unsatisfiable
% 19.12/4.96 |-Branch two:
% 19.12/4.96 | (319) ~ (all_0_38_38 = e0)
% 19.12/4.96 | (320) all_0_39_39 = e0 | all_0_41_41 = e0
% 19.12/4.96 |
% 19.12/4.96 +-Applying beta-rule and splitting (320), into two cases.
% 19.12/4.96 |-Branch one:
% 19.12/4.96 | (323) all_0_39_39 = e0
% 19.12/4.96 |
% 19.12/4.96 | Equations (323) can reduce 157 to:
% 19.12/4.96 | (1320) ~ (all_0_47_47 = e0)
% 19.12/4.96 |
% 19.12/4.96 | Simplifying 1320 yields:
% 19.12/4.96 | (328) ~ (all_0_47_47 = e0)
% 19.12/4.96 |
% 19.12/4.96 | Equations (323) can reduce 347 to:
% 19.12/4.96 | (313) ~ (e2 = e0)
% 19.12/4.96 |
% 19.12/4.96 | Simplifying 313 yields:
% 19.12/4.96 | (133) ~ (e2 = e0)
% 19.12/4.96 |
% 19.12/4.96 +-Applying beta-rule and splitting (228), into two cases.
% 19.12/4.96 |-Branch one:
% 19.12/4.96 | (321) all_0_47_47 = e0
% 19.12/4.96 |
% 19.12/4.96 | Equations (321) can reduce 328 to:
% 19.12/4.96 | (301) $false
% 19.12/4.96 |
% 19.12/4.96 |-The branch is then unsatisfiable
% 19.12/4.96 |-Branch two:
% 19.12/4.96 | (328) ~ (all_0_47_47 = e0)
% 19.12/4.96 | (329) all_0_48_48 = e0 | all_0_50_50 = e0
% 19.12/4.96 |
% 19.12/4.96 +-Applying beta-rule and splitting (303), into two cases.
% 19.12/4.96 |-Branch one:
% 19.12/4.96 | (304) all_0_58_58 = e4
% 19.12/4.96 |
% 19.12/4.96 | Equations (304) can reduce 299 to:
% 19.12/4.96 | (301) $false
% 19.12/4.96 |
% 19.12/4.96 |-The branch is then unsatisfiable
% 19.12/4.96 |-Branch two:
% 19.12/4.96 | (299) ~ (all_0_58_58 = e4)
% 19.12/4.96 | (307) all_0_58_58 = e3 | all_0_58_58 = e0
% 19.12/4.96 |
% 19.12/4.96 +-Applying beta-rule and splitting (329), into two cases.
% 19.12/4.96 |-Branch one:
% 19.12/4.96 | (351) all_0_48_48 = e0
% 19.12/4.96 |
% 19.12/4.96 | Combining equations (260,351) yields a new equation:
% 19.12/4.96 | (352) e2 = e0
% 19.12/4.96 |
% 19.12/4.96 | Simplifying 352 yields:
% 19.12/4.96 | (345) e2 = e0
% 19.12/4.96 |
% 19.12/4.96 | Equations (345) can reduce 133 to:
% 19.12/4.96 | (301) $false
% 19.12/4.96 |
% 19.12/4.96 |-The branch is then unsatisfiable
% 19.12/4.96 |-Branch two:
% 19.12/4.97 | (259) ~ (all_0_48_48 = e0)
% 19.12/4.97 | (356) all_0_50_50 = e0
% 19.12/4.97 |
% 19.12/4.97 | Equations (356) can reduce 103 to:
% 19.12/4.97 | (1338) ~ (all_0_58_58 = e0)
% 19.12/4.97 |
% 19.12/4.97 | Simplifying 1338 yields:
% 19.12/4.97 | (365) ~ (all_0_58_58 = e0)
% 19.12/4.97 |
% 19.12/4.97 +-Applying beta-rule and splitting (307), into two cases.
% 19.12/4.97 |-Branch one:
% 19.12/4.97 | (308) all_0_58_58 = e0
% 19.12/4.97 |
% 19.12/4.97 | Equations (308) can reduce 365 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (365) ~ (all_0_58_58 = e0)
% 19.12/4.97 | (366) all_0_58_58 = e3
% 19.12/4.97 |
% 19.12/4.97 | Equations (366) can reduce 293 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (322) ~ (all_0_39_39 = e0)
% 19.12/4.97 | (326) all_0_41_41 = e0
% 19.12/4.97 |
% 19.12/4.97 | Combining equations (552,326) yields a new equation:
% 19.12/4.97 | (352) e2 = e0
% 19.12/4.97 |
% 19.12/4.97 | Simplifying 352 yields:
% 19.12/4.97 | (345) e2 = e0
% 19.12/4.97 |
% 19.12/4.97 | Equations (345) can reduce 133 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (540) ~ (all_0_38_38 = e4)
% 19.12/4.97 | (315) all_0_38_38 = e0
% 19.12/4.97 |
% 19.12/4.97 | Equations (315) can reduce 319 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (971) ~ (all_0_51_51 = e2)
% 19.12/4.97 | (654) all_0_51_51 = e4
% 19.12/4.97 |
% 19.12/4.97 | Equations (654) can reduce 657 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (522) ~ (all_0_53_53 = e4)
% 19.12/4.97 | (419) all_0_53_53 = e3
% 19.12/4.97 |
% 19.12/4.97 | Equations (419) can reduce 422 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (366) all_0_58_58 = e3
% 19.12/4.97 | (520) all_0_55_55 = e0
% 19.12/4.97 |
% 19.12/4.97 | Equations (520) can reduce 372 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (304) all_0_58_58 = e4
% 19.12/4.97 | (369) all_0_54_54 = e0
% 19.12/4.97 |
% 19.12/4.97 | Equations (369) can reduce 682 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (315) all_0_38_38 = e0
% 19.12/4.97 | (545) all_0_41_41 = e4
% 19.12/4.97 |
% 19.12/4.97 | Combining equations (545,552) yields a new equation:
% 19.12/4.97 | (553) e4 = e2
% 19.12/4.97 |
% 19.12/4.97 | Simplifying 553 yields:
% 19.12/4.97 | (504) e4 = e2
% 19.12/4.97 |
% 19.12/4.97 | Equations (504) can reduce 42 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (556) ~ (all_0_41_41 = e2)
% 19.12/4.97 | (557) all_0_46_46 = e2 | all_0_50_50 = e2 | all_0_58_58 = e2
% 19.12/4.97 |
% 19.12/4.97 +-Applying beta-rule and splitting (53), into two cases.
% 19.12/4.97 |-Branch one:
% 19.12/4.97 | (344) all_0_39_39 = e2
% 19.12/4.97 |
% 19.12/4.97 | Equations (344) can reduce 347 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (347) ~ (all_0_39_39 = e2)
% 19.12/4.97 | (1211) all_0_40_40 = e2 | all_0_41_41 = e2
% 19.12/4.97 |
% 19.12/4.97 +-Applying beta-rule and splitting (557), into two cases.
% 19.12/4.97 |-Branch one:
% 19.12/4.97 | (571) all_0_46_46 = e2
% 19.12/4.97 |
% 19.12/4.97 | Equations (571) can reduce 575 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (575) ~ (all_0_46_46 = e2)
% 19.12/4.97 | (576) all_0_50_50 = e2 | all_0_58_58 = e2
% 19.12/4.97 |
% 19.12/4.97 +-Applying beta-rule and splitting (1211), into two cases.
% 19.12/4.97 |-Branch one:
% 19.12/4.97 | (1380) all_0_40_40 = e2
% 19.12/4.97 |
% 19.12/4.97 | Equations (1380) can reduce 31 to:
% 19.12/4.97 | (347) ~ (all_0_39_39 = e2)
% 19.12/4.97 |
% 19.12/4.97 | Equations (1380) can reduce 15 to:
% 19.12/4.97 | (451) ~ (all_0_57_57 = e2)
% 19.12/4.97 |
% 19.12/4.97 | Simplifying 451 yields:
% 19.12/4.97 | (452) ~ (all_0_57_57 = e2)
% 19.12/4.97 |
% 19.12/4.97 +-Applying beta-rule and splitting (56), into two cases.
% 19.12/4.97 |-Branch one:
% 19.12/4.97 | (1254) all_0_53_53 = e2
% 19.12/4.97 |
% 19.12/4.97 | Equations (1254) can reduce 268 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (268) ~ (all_0_53_53 = e2)
% 19.12/4.97 | (1307) all_0_53_53 = e4 | all_0_53_53 = e3
% 19.12/4.97 |
% 19.12/4.97 +-Applying beta-rule and splitting (89), into two cases.
% 19.12/4.97 |-Branch one:
% 19.12/4.97 | (600) all_0_54_54 = e2
% 19.12/4.97 |
% 19.12/4.97 | Equations (600) can reduce 156 to:
% 19.12/4.97 | (1284) ~ (all_0_58_58 = e2)
% 19.12/4.97 |
% 19.12/4.97 | Simplifying 1284 yields:
% 19.12/4.97 | (274) ~ (all_0_58_58 = e2)
% 19.12/4.97 |
% 19.12/4.97 +-Applying beta-rule and splitting (576), into two cases.
% 19.12/4.97 |-Branch one:
% 19.12/4.97 | (331) all_0_50_50 = e2
% 19.12/4.97 |
% 19.12/4.97 | Equations (331) can reduce 266 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (266) ~ (all_0_50_50 = e2)
% 19.12/4.97 | (300) all_0_58_58 = e2
% 19.12/4.97 |
% 19.12/4.97 | Equations (300) can reduce 274 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (283) ~ (all_0_54_54 = e2)
% 19.12/4.97 | (603) all_0_55_55 = e2 | all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2
% 19.12/4.97 |
% 19.12/4.97 +-Applying beta-rule and splitting (92), into two cases.
% 19.12/4.97 |-Branch one:
% 19.12/4.97 | (276) all_0_51_51 = e2
% 19.12/4.97 |
% 19.12/4.97 | Equations (276) can reduce 85 to:
% 19.12/4.97 | (278) ~ (all_0_52_52 = e2)
% 19.12/4.97 |
% 19.12/4.97 | Simplifying 278 yields:
% 19.12/4.97 | (279) ~ (all_0_52_52 = e2)
% 19.12/4.97 |
% 19.12/4.97 | Equations (276) can reduce 78 to:
% 19.12/4.97 | (133) ~ (e2 = e0)
% 19.12/4.97 |
% 19.12/4.97 +-Applying beta-rule and splitting (201), into two cases.
% 19.12/4.97 |-Branch one:
% 19.12/4.97 | (455) all_0_52_52 = e3
% 19.12/4.97 |
% 19.12/4.97 | Equations (455) can reduce 129 to:
% 19.12/4.97 | (698) ~ (all_0_39_39 = e3)
% 19.12/4.97 |
% 19.12/4.97 | Equations (455) can reduce 60 to:
% 19.12/4.97 | (1274) ~ (all_0_53_53 = e3)
% 19.12/4.97 |
% 19.12/4.97 | Simplifying 1274 yields:
% 19.12/4.97 | (422) ~ (all_0_53_53 = e3)
% 19.12/4.97 |
% 19.12/4.97 | Equations (455) can reduce 279 to:
% 19.12/4.97 | (231) ~ (e3 = e2)
% 19.12/4.97 |
% 19.12/4.97 +-Applying beta-rule and splitting (138), into two cases.
% 19.12/4.97 |-Branch one:
% 19.12/4.97 | (694) all_0_39_39 = e3
% 19.12/4.97 |
% 19.12/4.97 | Equations (694) can reduce 698 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (698) ~ (all_0_39_39 = e3)
% 19.12/4.97 | (1001) all_0_40_40 = e3 | all_0_41_41 = e3
% 19.12/4.97 |
% 19.12/4.97 +-Applying beta-rule and splitting (1001), into two cases.
% 19.12/4.97 |-Branch one:
% 19.12/4.97 | (768) all_0_40_40 = e3
% 19.12/4.97 |
% 19.12/4.97 | Combining equations (768,1380) yields a new equation:
% 19.12/4.97 | (572) e3 = e2
% 19.12/4.97 |
% 19.12/4.97 | Simplifying 572 yields:
% 19.12/4.97 | (573) e3 = e2
% 19.12/4.97 |
% 19.12/4.97 | Equations (573) can reduce 231 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (994) ~ (all_0_40_40 = e3)
% 19.12/4.97 | (564) all_0_41_41 = e3
% 19.12/4.97 |
% 19.12/4.97 | Equations (564) can reduce 11 to:
% 19.12/4.97 | (698) ~ (all_0_39_39 = e3)
% 19.12/4.97 |
% 19.12/4.97 +-Applying beta-rule and splitting (1307), into two cases.
% 19.12/4.97 |-Branch one:
% 19.12/4.97 | (409) all_0_53_53 = e4
% 19.12/4.97 |
% 19.12/4.97 | Equations (409) can reduce 422 to:
% 19.12/4.97 | (199) ~ (e4 = e3)
% 19.12/4.97 |
% 19.12/4.97 +-Applying beta-rule and splitting (526), into two cases.
% 19.12/4.97 |-Branch one:
% 19.12/4.97 | (351) all_0_48_48 = e0
% 19.12/4.97 |
% 19.12/4.97 | Combining equations (260,351) yields a new equation:
% 19.12/4.97 | (352) e2 = e0
% 19.12/4.97 |
% 19.12/4.97 | Simplifying 352 yields:
% 19.12/4.97 | (345) e2 = e0
% 19.12/4.97 |
% 19.12/4.97 | Equations (345) can reduce 133 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (259) ~ (all_0_48_48 = e0)
% 19.12/4.97 | (538) all_0_56_56 = e0
% 19.12/4.97 |
% 19.12/4.97 +-Applying beta-rule and splitting (170), into two cases.
% 19.12/4.97 |-Branch one:
% 19.12/4.97 | (319) ~ (all_0_38_38 = e0)
% 19.12/4.97 |
% 19.12/4.97 +-Applying beta-rule and splitting (76), into two cases.
% 19.12/4.97 |-Branch one:
% 19.12/4.97 | (294) all_0_38_38 = e4
% 19.12/4.97 |
% 19.12/4.97 | Equations (294) can reduce 3 to:
% 19.12/4.97 | (295) ~ (all_0_39_39 = e4)
% 19.12/4.97 |
% 19.12/4.97 | Simplifying 295 yields:
% 19.12/4.97 | (296) ~ (all_0_39_39 = e4)
% 19.12/4.97 |
% 19.12/4.97 +-Applying beta-rule and splitting (244), into two cases.
% 19.12/4.97 |-Branch one:
% 19.12/4.97 | (344) all_0_39_39 = e2
% 19.12/4.97 |
% 19.12/4.97 | Equations (344) can reduce 347 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (347) ~ (all_0_39_39 = e2)
% 19.12/4.97 | (1218) all_0_39_39 = e4 | all_0_39_39 = e3 | all_0_39_39 = e0
% 19.12/4.97 |
% 19.12/4.97 +-Applying beta-rule and splitting (1218), into two cases.
% 19.12/4.97 |-Branch one:
% 19.12/4.97 | (428) all_0_39_39 = e4
% 19.12/4.97 |
% 19.12/4.97 | Equations (428) can reduce 296 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (296) ~ (all_0_39_39 = e4)
% 19.12/4.97 | (1222) all_0_39_39 = e3 | all_0_39_39 = e0
% 19.12/4.97 |
% 19.12/4.97 +-Applying beta-rule and splitting (1222), into two cases.
% 19.12/4.97 |-Branch one:
% 19.12/4.97 | (323) all_0_39_39 = e0
% 19.12/4.97 |
% 19.12/4.97 | Equations (323) can reduce 347 to:
% 19.12/4.97 | (313) ~ (e2 = e0)
% 19.12/4.97 |
% 19.12/4.97 | Simplifying 313 yields:
% 19.12/4.97 | (133) ~ (e2 = e0)
% 19.12/4.97 |
% 19.12/4.97 +-Applying beta-rule and splitting (603), into two cases.
% 19.12/4.97 |-Branch one:
% 19.12/4.97 | (450) all_0_55_55 = e2
% 19.12/4.97 |
% 19.12/4.97 | Equations (450) can reduce 1140 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (1140) ~ (all_0_55_55 = e2)
% 19.12/4.97 | (1141) all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2
% 19.12/4.97 |
% 19.12/4.97 +-Applying beta-rule and splitting (1141), into two cases.
% 19.12/4.97 |-Branch one:
% 19.12/4.97 | (637) all_0_56_56 = e2
% 19.12/4.97 |
% 19.12/4.97 | Combining equations (538,637) yields a new equation:
% 19.12/4.97 | (345) e2 = e0
% 19.12/4.97 |
% 19.12/4.97 | Equations (345) can reduce 133 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (270) ~ (all_0_56_56 = e2)
% 19.12/4.97 | (1449) all_0_57_57 = e2 | all_0_58_58 = e2
% 19.12/4.97 |
% 19.12/4.97 +-Applying beta-rule and splitting (1449), into two cases.
% 19.12/4.97 |-Branch one:
% 19.12/4.97 | (458) all_0_57_57 = e2
% 19.12/4.97 |
% 19.12/4.97 | Equations (458) can reduce 452 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (452) ~ (all_0_57_57 = e2)
% 19.12/4.97 | (300) all_0_58_58 = e2
% 19.12/4.97 |
% 19.12/4.97 | Equations (300) can reduce 274 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (322) ~ (all_0_39_39 = e0)
% 19.12/4.97 | (694) all_0_39_39 = e3
% 19.12/4.97 |
% 19.12/4.97 | Equations (694) can reduce 698 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (540) ~ (all_0_38_38 = e4)
% 19.12/4.97 | (315) all_0_38_38 = e0
% 19.12/4.97 |
% 19.12/4.97 | Equations (315) can reduce 319 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (315) all_0_38_38 = e0
% 19.12/4.97 | (545) all_0_41_41 = e4
% 19.12/4.97 |
% 19.12/4.97 | Combining equations (564,545) yields a new equation:
% 19.12/4.97 | (420) e4 = e3
% 19.12/4.97 |
% 19.12/4.97 | Equations (420) can reduce 199 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (522) ~ (all_0_53_53 = e4)
% 19.12/4.97 | (419) all_0_53_53 = e3
% 19.12/4.97 |
% 19.12/4.97 | Equations (419) can reduce 422 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (506) ~ (all_0_52_52 = e3)
% 19.12/4.97 | (419) all_0_53_53 = e3
% 19.12/4.97 |
% 19.12/4.97 | Equations (419) can reduce 422 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (971) ~ (all_0_51_51 = e2)
% 19.12/4.97 | (1191) all_0_52_52 = e2 | all_0_53_53 = e2
% 19.12/4.97 |
% 19.12/4.97 +-Applying beta-rule and splitting (201), into two cases.
% 19.12/4.97 |-Branch one:
% 19.12/4.97 | (455) all_0_52_52 = e3
% 19.12/4.97 |
% 19.12/4.97 | Equations (455) can reduce 279 to:
% 19.12/4.97 | (231) ~ (e3 = e2)
% 19.12/4.97 |
% 19.12/4.97 +-Applying beta-rule and splitting (1191), into two cases.
% 19.12/4.97 |-Branch one:
% 19.12/4.97 | (447) all_0_52_52 = e2
% 19.12/4.97 |
% 19.12/4.97 | Combining equations (455,447) yields a new equation:
% 19.12/4.97 | (572) e3 = e2
% 19.12/4.97 |
% 19.12/4.97 | Simplifying 572 yields:
% 19.12/4.97 | (573) e3 = e2
% 19.12/4.97 |
% 19.12/4.97 | Equations (573) can reduce 231 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (279) ~ (all_0_52_52 = e2)
% 19.12/4.97 | (1254) all_0_53_53 = e2
% 19.12/4.97 |
% 19.12/4.97 | Equations (1254) can reduce 268 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (506) ~ (all_0_52_52 = e3)
% 19.12/4.97 | (419) all_0_53_53 = e3
% 19.12/4.97 |
% 19.12/4.97 | Equations (419) can reduce 422 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.97 |-Branch two:
% 19.12/4.97 | (729) ~ (all_0_40_40 = e2)
% 19.12/4.97 | (552) all_0_41_41 = e2
% 19.12/4.97 |
% 19.12/4.97 | Equations (552) can reduce 556 to:
% 19.12/4.97 | (301) $false
% 19.12/4.97 |
% 19.12/4.97 |-The branch is then unsatisfiable
% 19.12/4.98 |-Branch two:
% 19.12/4.98 | (300) all_0_58_58 = e2
% 19.12/4.98 | (538) all_0_56_56 = e0
% 19.12/4.98 |
% 19.12/4.98 | Equations (300) can reduce 224 to:
% 19.12/4.98 | (556) ~ (all_0_41_41 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Equations (538) can reduce 124 to:
% 19.12/4.98 | (525) ~ (all_0_44_44 = e0)
% 19.12/4.98 |
% 19.12/4.98 | Equations (300) can reduce 184 to:
% 19.12/4.98 | (575) ~ (all_0_46_46 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Equations (300) can reduce 103 to:
% 19.12/4.98 | (266) ~ (all_0_50_50 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Equations (538) can reduce 192 to:
% 19.12/4.98 | (22) ~ (all_0_53_53 = e0)
% 19.12/4.98 |
% 19.12/4.98 | Equations (538) can reduce 190 to:
% 19.12/4.98 | (682) ~ (all_0_54_54 = e0)
% 19.12/4.98 |
% 19.12/4.98 | Equations (300) can reduce 156 to:
% 19.12/4.98 | (283) ~ (all_0_54_54 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Equations (538) can reduce 194 to:
% 19.12/4.98 | (372) ~ (all_0_55_55 = e0)
% 19.12/4.98 |
% 19.12/4.98 | Equations (300) can reduce 116 to:
% 19.12/4.98 | (1140) ~ (all_0_55_55 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Equations (538) can reduce 243 to:
% 19.12/4.98 | (594) ~ (all_0_57_57 = e0)
% 19.12/4.98 |
% 19.12/4.98 | Simplifying 594 yields:
% 19.12/4.98 | (189) ~ (all_0_57_57 = e0)
% 19.12/4.98 |
% 19.12/4.98 | Equations (538) can reduce 58 to:
% 19.12/4.98 | (685) ~ (e1 = e0)
% 19.12/4.98 |
% 19.12/4.98 | Simplifying 685 yields:
% 19.12/4.98 | (247) ~ (e1 = e0)
% 19.12/4.98 |
% 19.12/4.98 | Equations (300) can reduce 5 to:
% 19.12/4.98 | (452) ~ (all_0_57_57 = e2)
% 19.12/4.98 |
% 19.12/4.98 | From (538) and (197) follows:
% 19.12/4.98 | (1504) op(e0, e0) = all_0_33_33
% 19.12/4.98 |
% 19.12/4.98 | From (300) and (225) follows:
% 19.12/4.98 | (1505) op(e0, e0) = e2
% 19.12/4.98 |
% 19.12/4.98 | Instantiating formula (151) with e0, e0, e2, all_0_33_33 and discharging atoms op(e0, e0) = all_0_33_33, op(e0, e0) = e2, yields:
% 19.12/4.98 | (1506) all_0_33_33 = e2
% 19.12/4.98 |
% 19.12/4.98 | From (1506) and (1504) follows:
% 19.12/4.98 | (1505) op(e0, e0) = e2
% 19.12/4.98 |
% 19.12/4.98 +-Applying beta-rule and splitting (61), into two cases.
% 19.12/4.98 |-Branch one:
% 19.12/4.98 | (276) all_0_51_51 = e2
% 19.12/4.98 |
% 19.12/4.98 | Equations (276) can reduce 36 to:
% 19.12/4.98 | (277) ~ (all_0_42_42 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Equations (276) can reduce 85 to:
% 19.12/4.98 | (278) ~ (all_0_52_52 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Simplifying 278 yields:
% 19.12/4.98 | (279) ~ (all_0_52_52 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Equations (276) can reduce 216 to:
% 19.12/4.98 | (267) ~ (all_0_53_53 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Simplifying 267 yields:
% 19.12/4.98 | (268) ~ (all_0_53_53 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Equations (276) can reduce 207 to:
% 19.12/4.98 | (282) ~ (all_0_54_54 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Simplifying 282 yields:
% 19.12/4.98 | (283) ~ (all_0_54_54 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Equations (276) can reduce 158 to:
% 19.12/4.98 | (284) ~ (e3 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Simplifying 284 yields:
% 19.12/4.98 | (231) ~ (e3 = e2)
% 19.12/4.98 |
% 19.12/4.98 | From (276) and (95) follows:
% 19.12/4.98 | (287) op(e2, e4) = all_0_24_24
% 19.12/4.98 |
% 19.12/4.98 | From (276) and (175) follows:
% 19.12/4.98 | (288) op(e2, e1) = all_0_23_23
% 19.12/4.98 |
% 19.12/4.98 | From (276) and (65) follows:
% 19.12/4.98 | (289) op(e1, e4) = e2
% 19.12/4.98 |
% 19.12/4.98 | Instantiating formula (151) with e2, e4, all_0_24_24, e3 and discharging atoms op(e2, e4) = all_0_24_24, op(e2, e4) = e3, yields:
% 19.12/4.98 | (290) all_0_24_24 = e3
% 19.12/4.98 |
% 19.12/4.98 | Instantiating formula (151) with e2, e1, all_0_23_23, all_0_49_49 and discharging atoms op(e2, e1) = all_0_23_23, op(e2, e1) = all_0_49_49, yields:
% 19.12/4.98 | (291) all_0_23_23 = all_0_49_49
% 19.12/4.98 |
% 19.12/4.98 | From (291) and (288) follows:
% 19.12/4.98 | (193) op(e2, e1) = all_0_49_49
% 19.12/4.98 |
% 19.12/4.98 +-Applying beta-rule and splitting (167), into two cases.
% 19.12/4.98 |-Branch one:
% 19.12/4.98 | (275) ~ (all_0_43_43 = e2)
% 19.12/4.98 |
% 19.12/4.98 +-Applying beta-rule and splitting (102), into two cases.
% 19.12/4.98 |-Branch one:
% 19.12/4.98 | (344) all_0_39_39 = e2
% 19.12/4.98 |
% 19.12/4.98 | Equations (344) can reduce 3 to:
% 19.12/4.98 | (226) ~ (all_0_38_38 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Equations (344) can reduce 155 to:
% 19.12/4.98 | (667) ~ (all_0_43_43 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Simplifying 667 yields:
% 19.12/4.98 | (275) ~ (all_0_43_43 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Equations (344) can reduce 129 to:
% 19.12/4.98 | (278) ~ (all_0_52_52 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Simplifying 278 yields:
% 19.12/4.98 | (279) ~ (all_0_52_52 = e2)
% 19.12/4.98 |
% 19.12/4.98 | From (344) and (112) follows:
% 19.12/4.98 | (670) op(e2, e3) = all_0_2_2
% 19.12/4.98 |
% 19.12/4.98 | From (344) and (154) follows:
% 19.12/4.98 | (671) op(e4, e3) = e2
% 19.12/4.98 |
% 19.12/4.98 +-Applying beta-rule and splitting (66), into two cases.
% 19.12/4.98 |-Branch one:
% 19.12/4.98 | (737) all_0_42_42 = e2
% 19.12/4.98 |
% 19.12/4.98 | Equations (737) can reduce 277 to:
% 19.12/4.98 | (301) $false
% 19.12/4.98 |
% 19.12/4.98 |-The branch is then unsatisfiable
% 19.12/4.98 |-Branch two:
% 19.12/4.98 | (277) ~ (all_0_42_42 = e2)
% 19.12/4.98 | (740) all_0_43_43 = e2 | all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2
% 19.12/4.98 |
% 19.12/4.98 +-Applying beta-rule and splitting (740), into two cases.
% 19.12/4.98 |-Branch one:
% 19.12/4.98 | (439) all_0_43_43 = e2
% 19.12/4.98 |
% 19.12/4.98 | Equations (439) can reduce 275 to:
% 19.12/4.98 | (301) $false
% 19.12/4.98 |
% 19.12/4.98 |-The branch is then unsatisfiable
% 19.12/4.98 |-Branch two:
% 19.12/4.98 | (275) ~ (all_0_43_43 = e2)
% 19.12/4.98 | (746) all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2
% 19.12/4.98 |
% 19.12/4.98 +-Applying beta-rule and splitting (746), into two cases.
% 19.12/4.98 |-Branch one:
% 19.12/4.98 | (747) all_0_44_44 = e2
% 19.12/4.98 |
% 19.12/4.98 | Equations (747) can reduce 261 to:
% 19.12/4.98 | (301) $false
% 19.12/4.98 |
% 19.12/4.98 |-The branch is then unsatisfiable
% 19.12/4.98 |-Branch two:
% 19.12/4.98 | (261) ~ (all_0_44_44 = e2)
% 19.12/4.98 | (751) all_0_45_45 = e2 | all_0_46_46 = e2
% 19.12/4.98 |
% 19.12/4.98 +-Applying beta-rule and splitting (751), into two cases.
% 19.12/4.98 |-Branch one:
% 19.12/4.98 | (752) all_0_45_45 = e2
% 19.12/4.98 |
% 19.12/4.98 | Equations (752) can reduce 108 to:
% 19.12/4.98 | (729) ~ (all_0_40_40 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Equations (752) can reduce 72 to:
% 19.12/4.98 | (275) ~ (all_0_43_43 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Equations (752) can reduce 38 to:
% 19.12/4.98 | (261) ~ (all_0_44_44 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Equations (752) can reduce 34 to:
% 19.12/4.98 | (1266) ~ (all_0_46_46 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Simplifying 1266 yields:
% 19.12/4.98 | (575) ~ (all_0_46_46 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Equations (752) can reduce 23 to:
% 19.12/4.98 | (263) ~ (all_0_49_49 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Simplifying 263 yields:
% 19.12/4.98 | (264) ~ (all_0_49_49 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Equations (752) can reduce 75 to:
% 19.12/4.98 | (451) ~ (all_0_57_57 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Simplifying 451 yields:
% 19.12/4.98 | (452) ~ (all_0_57_57 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Equations (752) can reduce 163 to:
% 19.12/4.98 | (133) ~ (e2 = e0)
% 19.12/4.98 |
% 19.12/4.98 | From (752) and (50) follows:
% 19.12/4.98 | (1556) op(e2, e3) = all_0_12_12
% 19.12/4.98 |
% 19.12/4.98 | From (752) and (44) follows:
% 19.12/4.98 | (1557) op(e2, e1) = all_0_13_13
% 19.12/4.98 |
% 19.12/4.98 | From (752) and (196) follows:
% 19.12/4.98 | (1558) op(e3, e1) = e2
% 19.12/4.98 |
% 19.12/4.98 +-Applying beta-rule and splitting (136), into two cases.
% 19.12/4.98 |-Branch one:
% 19.12/4.98 | (710) ~ (all_0_43_43 = e1)
% 19.12/4.98 |
% 19.12/4.98 +-Applying beta-rule and splitting (28), into two cases.
% 19.12/4.98 |-Branch one:
% 19.12/4.98 | (979) all_0_42_42 = e1
% 19.12/4.98 |
% 19.12/4.98 | Equations (979) can reduce 8 to:
% 19.12/4.98 | (1213) ~ (all_0_43_43 = e1)
% 19.12/4.98 |
% 19.12/4.98 | Simplifying 1213 yields:
% 19.12/4.98 | (710) ~ (all_0_43_43 = e1)
% 19.12/4.98 |
% 19.12/4.98 | Equations (979) can reduce 14 to:
% 19.12/4.98 | (1563) ~ (all_0_46_46 = e1)
% 19.12/4.98 |
% 19.12/4.98 | Simplifying 1563 yields:
% 19.12/4.98 | (113) ~ (all_0_46_46 = e1)
% 19.12/4.98 |
% 19.12/4.98 | Equations (979) can reduce 181 to:
% 19.12/4.98 | (1565) ~ (all_0_54_54 = e1)
% 19.12/4.98 |
% 19.12/4.98 | Simplifying 1565 yields:
% 19.12/4.98 | (1566) ~ (all_0_54_54 = e1)
% 19.12/4.98 |
% 19.12/4.98 | From (979) and (159) follows:
% 19.12/4.98 | (1567) op(e1, e4) = all_0_8_8
% 19.12/4.98 |
% 19.12/4.98 | From (979) and (105) follows:
% 19.12/4.98 | (1568) op(e1, e3) = all_0_7_7
% 19.12/4.98 |
% 19.12/4.98 +-Applying beta-rule and splitting (27), into two cases.
% 19.12/4.98 |-Branch one:
% 19.12/4.98 | (315) all_0_38_38 = e0
% 19.12/4.98 |
% 19.12/4.98 | Equations (315) can reduce 187 to:
% 19.12/4.98 | (677) ~ (all_0_40_40 = e0)
% 19.12/4.98 |
% 19.12/4.98 | Simplifying 677 yields:
% 19.12/4.98 | (171) ~ (all_0_40_40 = e0)
% 19.12/4.98 |
% 19.12/4.98 | Equations (315) can reduce 110 to:
% 19.12/4.98 | (1572) ~ (all_0_41_41 = e0)
% 19.12/4.98 |
% 19.12/4.98 | Simplifying 1572 yields:
% 19.12/4.98 | (309) ~ (all_0_41_41 = e0)
% 19.12/4.98 |
% 19.12/4.98 | Equations (315) can reduce 226 to:
% 19.12/4.98 | (313) ~ (e2 = e0)
% 19.12/4.98 |
% 19.12/4.98 | Simplifying 313 yields:
% 19.12/4.98 | (133) ~ (e2 = e0)
% 19.12/4.98 |
% 19.12/4.98 +-Applying beta-rule and splitting (170), into two cases.
% 19.12/4.98 |-Branch one:
% 19.12/4.98 | (319) ~ (all_0_38_38 = e0)
% 19.12/4.98 |
% 19.12/4.98 | Equations (315) can reduce 319 to:
% 19.12/4.98 | (301) $false
% 19.12/4.98 |
% 19.12/4.98 |-The branch is then unsatisfiable
% 19.12/4.98 |-Branch two:
% 19.12/4.98 | (315) all_0_38_38 = e0
% 19.12/4.98 | (545) all_0_41_41 = e4
% 19.12/4.98 |
% 19.12/4.98 | Equations (545) can reduce 111 to:
% 19.12/4.98 | (298) ~ (all_0_40_40 = e4)
% 19.12/4.98 |
% 19.12/4.98 | Equations (545) can reduce 309 to:
% 19.12/4.98 | (43) ~ (e4 = e0)
% 19.12/4.98 |
% 19.12/4.98 +-Applying beta-rule and splitting (138), into two cases.
% 19.12/4.98 |-Branch one:
% 19.12/4.98 | (694) all_0_39_39 = e3
% 19.12/4.98 |
% 19.12/4.98 | Combining equations (694,344) yields a new equation:
% 19.12/4.98 | (572) e3 = e2
% 19.12/4.98 |
% 19.12/4.98 | Simplifying 572 yields:
% 19.12/4.98 | (573) e3 = e2
% 19.12/4.98 |
% 19.12/4.98 | Equations (573) can reduce 231 to:
% 19.12/4.98 | (301) $false
% 19.12/4.98 |
% 19.12/4.98 |-The branch is then unsatisfiable
% 19.12/4.98 |-Branch two:
% 19.12/4.98 | (698) ~ (all_0_39_39 = e3)
% 19.12/4.98 | (1001) all_0_40_40 = e3 | all_0_41_41 = e3
% 19.12/4.98 |
% 19.12/4.98 +-Applying beta-rule and splitting (1001), into two cases.
% 19.12/4.98 |-Branch one:
% 19.12/4.98 | (768) all_0_40_40 = e3
% 19.12/4.98 |
% 19.12/4.98 | Equations (768) can reduce 15 to:
% 19.12/4.98 | (424) ~ (all_0_57_57 = e3)
% 19.12/4.98 |
% 19.12/4.98 | Simplifying 424 yields:
% 19.12/4.98 | (425) ~ (all_0_57_57 = e3)
% 19.12/4.98 |
% 19.12/4.98 | Equations (768) can reduce 298 to:
% 19.12/4.98 | (426) ~ (e4 = e3)
% 19.12/4.98 |
% 19.12/4.98 | Simplifying 426 yields:
% 19.12/4.98 | (199) ~ (e4 = e3)
% 19.12/4.98 |
% 19.12/4.98 | Equations (768) can reduce 729 to:
% 19.12/4.98 | (231) ~ (e3 = e2)
% 19.12/4.98 |
% 19.12/4.98 | Equations (768) can reduce 171 to:
% 19.12/4.98 | (81) ~ (e3 = e0)
% 19.12/4.98 |
% 19.12/4.98 | From (768) and (252) follows:
% 19.12/4.98 | (773) op(e3, e1) = all_0_4_4
% 19.12/4.98 |
% 19.12/4.98 | From (768) and (117) follows:
% 19.12/4.98 | (774) op(e4, e1) = e3
% 19.12/4.98 |
% 19.12/4.98 +-Applying beta-rule and splitting (57), into two cases.
% 19.12/4.98 |-Branch one:
% 19.12/4.98 | (600) all_0_54_54 = e2
% 19.12/4.98 |
% 19.12/4.98 | Equations (600) can reduce 283 to:
% 19.12/4.98 | (301) $false
% 19.12/4.98 |
% 19.12/4.98 |-The branch is then unsatisfiable
% 19.12/4.98 |-Branch two:
% 19.12/4.98 | (283) ~ (all_0_54_54 = e2)
% 19.12/4.98 | (653) all_0_54_54 = e4 | all_0_54_54 = e1 | all_0_54_54 = e0
% 19.12/4.98 |
% 19.12/4.98 +-Applying beta-rule and splitting (214), into two cases.
% 19.12/4.98 |-Branch one:
% 19.12/4.98 | (564) all_0_41_41 = e3
% 19.12/4.98 |
% 19.12/4.98 | Combining equations (545,564) yields a new equation:
% 19.12/4.98 | (508) e4 = e3
% 19.12/4.98 |
% 19.12/4.98 | Simplifying 508 yields:
% 19.12/4.98 | (420) e4 = e3
% 19.12/4.98 |
% 19.12/4.98 | Equations (420) can reduce 199 to:
% 19.12/4.99 | (301) $false
% 19.12/4.99 |
% 19.12/4.99 |-The branch is then unsatisfiable
% 19.12/4.99 |-Branch two:
% 19.12/4.99 | (568) ~ (all_0_41_41 = e3)
% 19.12/4.99 | (569) all_0_46_46 = e3 | all_0_58_58 = e3
% 19.12/4.99 |
% 19.12/4.99 +-Applying beta-rule and splitting (569), into two cases.
% 19.12/4.99 |-Branch one:
% 19.12/4.99 | (570) all_0_46_46 = e3
% 19.12/4.99 |
% 19.12/4.99 | Equations (570) can reduce 575 to:
% 19.12/4.99 | (231) ~ (e3 = e2)
% 19.12/4.99 |
% 19.12/4.99 | Equations (570) can reduce 113 to:
% 19.12/4.99 | (234) ~ (e3 = e1)
% 19.12/4.99 |
% 19.12/4.99 +-Applying beta-rule and splitting (204), into two cases.
% 19.12/4.99 |-Branch one:
% 19.12/4.99 | (439) all_0_43_43 = e2
% 19.12/4.99 |
% 19.12/4.99 | Equations (439) can reduce 275 to:
% 19.12/4.99 | (301) $false
% 19.12/4.99 |
% 19.12/4.99 |-The branch is then unsatisfiable
% 19.12/4.99 |-Branch two:
% 19.12/4.99 | (275) ~ (all_0_43_43 = e2)
% 19.12/4.99 | (1227) all_0_43_43 = e3 | all_0_43_43 = e1 | all_0_43_43 = e0
% 19.12/4.99 |
% 19.12/4.99 +-Applying beta-rule and splitting (98), into two cases.
% 19.12/4.99 |-Branch one:
% 19.12/4.99 | (294) all_0_38_38 = e4
% 19.12/4.99 |
% 19.12/4.99 | Combining equations (315,294) yields a new equation:
% 19.12/4.99 | (317) e4 = e0
% 19.12/4.99 |
% 19.12/4.99 | Equations (317) can reduce 43 to:
% 19.12/4.99 | (301) $false
% 19.12/4.99 |
% 19.12/4.99 |-The branch is then unsatisfiable
% 19.12/4.99 |-Branch two:
% 19.12/4.99 | (540) ~ (all_0_38_38 = e4)
% 19.12/4.99 | (1618) all_0_42_42 = e4 | all_0_51_51 = e4 | all_0_54_54 = e4
% 19.12/4.99 |
% 19.12/4.99 | Equations (315) can reduce 540 to:
% 19.12/4.99 | (311) ~ (e4 = e0)
% 19.12/4.99 |
% 19.12/4.99 | Simplifying 311 yields:
% 19.12/4.99 | (43) ~ (e4 = e0)
% 19.12/4.99 |
% 19.12/4.99 +-Applying beta-rule and splitting (24), into two cases.
% 19.12/4.99 |-Branch one:
% 19.12/4.99 | (331) all_0_50_50 = e2
% 19.12/4.99 |
% 19.12/4.99 | Equations (331) can reduce 266 to:
% 19.12/4.99 | (301) $false
% 19.12/4.99 |
% 19.12/4.99 |-The branch is then unsatisfiable
% 19.12/4.99 |-Branch two:
% 19.12/4.99 | (266) ~ (all_0_50_50 = e2)
% 19.12/4.99 | (334) all_0_50_50 = e4 | all_0_50_50 = e0
% 19.12/4.99 |
% 19.12/4.99 +-Applying beta-rule and splitting (132), into two cases.
% 19.12/4.99 |-Branch one:
% 19.12/4.99 | (1031) all_0_55_55 = e3
% 19.12/4.99 |
% 19.12/4.99 | Equations (1031) can reduce 235 to:
% 19.12/4.99 | (506) ~ (all_0_52_52 = e3)
% 19.12/4.99 |
% 19.12/4.99 | Equations (1031) can reduce 144 to:
% 19.12/4.99 | (206) ~ (all_0_54_54 = e3)
% 19.12/4.99 |
% 19.12/4.99 | Equations (1031) can reduce 20 to:
% 19.12/4.99 | (424) ~ (all_0_57_57 = e3)
% 19.12/4.99 |
% 19.12/4.99 | Simplifying 424 yields:
% 19.12/4.99 | (425) ~ (all_0_57_57 = e3)
% 19.12/4.99 |
% 19.12/4.99 | Equations (1031) can reduce 372 to:
% 19.12/4.99 | (81) ~ (e3 = e0)
% 19.12/4.99 |
% 19.12/4.99 +-Applying beta-rule and splitting (239), into two cases.
% 19.12/4.99 |-Branch one:
% 19.12/4.99 | (747) all_0_44_44 = e2
% 19.12/4.99 |
% 19.12/4.99 | Equations (747) can reduce 261 to:
% 19.12/4.99 | (301) $false
% 19.12/4.99 |
% 19.12/4.99 |-The branch is then unsatisfiable
% 19.12/4.99 |-Branch two:
% 19.12/4.99 | (261) ~ (all_0_44_44 = e2)
% 19.12/4.99 | (1634) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e0
% 19.12/4.99 |
% 19.12/4.99 +-Applying beta-rule and splitting (220), into two cases.
% 19.12/4.99 |-Branch one:
% 19.12/4.99 | (706) all_0_43_43 = e1
% 19.12/4.99 |
% 19.12/4.99 | Equations (706) can reduce 710 to:
% 19.12/4.99 | (301) $false
% 19.12/4.99 |
% 19.12/4.99 |-The branch is then unsatisfiable
% 19.12/4.99 |-Branch two:
% 19.12/4.99 | (710) ~ (all_0_43_43 = e1)
% 19.12/4.99 | (711) all_0_47_47 = e1 | all_0_55_55 = e1
% 19.12/4.99 |
% 19.12/4.99 +-Applying beta-rule and splitting (711), into two cases.
% 19.12/4.99 |-Branch one:
% 19.12/4.99 | (483) all_0_47_47 = e1
% 19.12/4.99 |
% 19.12/4.99 | Equations (483) can reduce 242 to:
% 19.12/4.99 | (1640) ~ (all_0_50_50 = e1)
% 19.12/4.99 |
% 19.12/4.99 | Simplifying 1640 yields:
% 19.12/4.99 | (33) ~ (all_0_50_50 = e1)
% 19.12/4.99 |
% 19.12/4.99 | Equations (483) can reduce 101 to:
% 19.12/4.99 | (1642) ~ (all_0_52_52 = e1)
% 19.12/4.99 |
% 19.12/4.99 | Simplifying 1642 yields:
% 19.12/4.99 | (70) ~ (all_0_52_52 = e1)
% 19.12/4.99 |
% 19.12/4.99 | From (483) and (142) follows:
% 19.12/4.99 | (715) op(e1, e3) = all_0_17_17
% 19.12/4.99 |
% 19.12/4.99 | From (483) and (62) follows:
% 19.12/4.99 | (716) op(e2, e3) = e1
% 19.12/4.99 |
% 19.12/4.99 +-Applying beta-rule and splitting (96), into two cases.
% 19.12/4.99 |-Branch one:
% 19.12/4.99 | (326) all_0_41_41 = e0
% 19.12/4.99 |
% 19.12/4.99 | Combining equations (326,545) yields a new equation:
% 19.12/4.99 | (317) e4 = e0
% 19.12/4.99 |
% 19.12/4.99 | Equations (317) can reduce 43 to:
% 19.12/4.99 | (301) $false
% 19.12/4.99 |
% 19.12/4.99 |-The branch is then unsatisfiable
% 19.12/4.99 |-Branch two:
% 19.12/4.99 | (309) ~ (all_0_41_41 = e0)
% 19.12/4.99 | (1650) all_0_46_46 = e0 | all_0_50_50 = e0 | all_0_58_58 = e0
% 19.12/4.99 |
% 19.12/4.99 +-Applying beta-rule and splitting (1650), into two cases.
% 19.12/4.99 |-Branch one:
% 19.12/4.99 | (1651) all_0_46_46 = e0
% 19.12/4.99 |
% 19.12/4.99 | Combining equations (570,1651) yields a new equation:
% 19.12/4.99 | (414) e3 = e0
% 19.12/4.99 |
% 19.12/4.99 | Simplifying 414 yields:
% 19.12/4.99 | (415) e3 = e0
% 19.12/4.99 |
% 19.12/4.99 | Equations (415) can reduce 81 to:
% 19.12/4.99 | (301) $false
% 19.12/4.99 |
% 19.12/4.99 |-The branch is then unsatisfiable
% 19.12/4.99 |-Branch two:
% 19.12/4.99 | (625) ~ (all_0_46_46 = e0)
% 19.12/4.99 | (1656) all_0_50_50 = e0 | all_0_58_58 = e0
% 19.12/4.99 |
% 19.12/4.99 +-Applying beta-rule and splitting (1656), into two cases.
% 19.12/4.99 |-Branch one:
% 19.12/4.99 | (356) all_0_50_50 = e0
% 19.12/4.99 |
% 19.12/4.99 | Equations (356) can reduce 266 to:
% 19.12/4.99 | (313) ~ (e2 = e0)
% 19.12/4.99 |
% 19.12/4.99 | Simplifying 313 yields:
% 19.12/4.99 | (133) ~ (e2 = e0)
% 19.12/4.99 |
% 19.12/4.99 | Equations (356) can reduce 33 to:
% 19.12/4.99 | (685) ~ (e1 = e0)
% 19.12/4.99 |
% 19.12/4.99 | Simplifying 685 yields:
% 19.12/4.99 | (247) ~ (e1 = e0)
% 19.12/4.99 |
% 19.12/4.99 +-Applying beta-rule and splitting (201), into two cases.
% 19.12/4.99 |-Branch one:
% 19.12/4.99 | (455) all_0_52_52 = e3
% 19.12/4.99 |
% 19.12/4.99 | Equations (455) can reduce 506 to:
% 19.12/4.99 | (301) $false
% 19.12/4.99 |
% 19.12/4.99 |-The branch is then unsatisfiable
% 19.12/4.99 |-Branch two:
% 19.12/4.99 | (506) ~ (all_0_52_52 = e3)
% 19.12/4.99 | (419) all_0_53_53 = e3
% 19.12/4.99 |
% 19.12/4.99 | Equations (419) can reduce 109 to:
% 19.12/4.99 | (417) ~ (all_0_44_44 = e3)
% 19.12/4.99 |
% 19.12/4.99 | Equations (419) can reduce 60 to:
% 19.12/4.99 | (506) ~ (all_0_52_52 = e3)
% 19.12/4.99 |
% 19.12/4.99 | Equations (419) can reduce 268 to:
% 19.12/4.99 | (231) ~ (e3 = e2)
% 19.12/4.99 |
% 19.12/4.99 | Equations (419) can reduce 104 to:
% 19.12/4.99 | (234) ~ (e3 = e1)
% 19.12/4.99 |
% 19.12/4.99 | Equations (419) can reduce 22 to:
% 19.12/4.99 | (81) ~ (e3 = e0)
% 19.12/4.99 |
% 19.12/4.99 | From (419) and (118) follows:
% 19.12/4.99 | (675) op(e3, e2) = all_0_28_28
% 19.12/4.99 |
% 19.12/4.99 | From (419) and (90) follows:
% 19.12/4.99 | (1672) op(e3, e1) = all_0_27_27
% 19.12/4.99 |
% 19.12/4.99 +-Applying beta-rule and splitting (219), into two cases.
% 19.12/4.99 |-Branch one:
% 19.12/4.99 | (764) all_0_49_49 = e2
% 19.12/4.99 |
% 19.12/4.99 | Equations (764) can reduce 264 to:
% 19.12/4.99 | (301) $false
% 19.12/4.99 |
% 19.12/4.99 |-The branch is then unsatisfiable
% 19.12/4.99 |-Branch two:
% 19.12/4.99 | (264) ~ (all_0_49_49 = e2)
% 19.12/4.99 | (767) all_0_49_49 = e4 | all_0_49_49 = e1
% 19.12/4.99 |
% 19.12/4.99 +-Applying beta-rule and splitting (168), into two cases.
% 19.12/4.99 |-Branch one:
% 19.12/4.99 | (447) all_0_52_52 = e2
% 19.12/4.99 |
% 19.12/4.99 | Equations (447) can reduce 279 to:
% 19.12/4.99 | (301) $false
% 19.12/4.99 |
% 19.12/4.99 |-The branch is then unsatisfiable
% 19.12/4.99 |-Branch two:
% 19.12/4.99 | (279) ~ (all_0_52_52 = e2)
% 19.12/4.99 | (1680) all_0_52_52 = e4 | all_0_52_52 = e3
% 19.12/4.99 |
% 19.12/4.99 +-Applying beta-rule and splitting (21), into two cases.
% 19.12/4.99 |-Branch one:
% 19.12/4.99 | (403) all_0_44_44 = e4
% 19.12/4.99 |
% 19.12/4.99 | From (403) and (130) follows:
% 19.12/4.99 | (1682) op(e4, e3) = all_0_10_10
% 19.12/4.99 |
% 19.12/4.99 | From (403) and (185) follows:
% 19.12/4.99 | (1683) op(e4, e2) = all_0_11_11
% 19.12/4.99 |
% 19.12/4.99 | From (403) and (165) follows:
% 19.12/4.99 | (1684) op(e3, e2) = e4
% 19.12/4.99 |
% 19.12/4.99 +-Applying beta-rule and splitting (1227), into two cases.
% 19.12/4.99 |-Branch one:
% 19.12/4.99 | (513) all_0_43_43 = e0
% 19.12/4.99 |
% 19.12/4.99 | Equations (513) can reduce 240 to:
% 19.12/4.99 | (1686) ~ (all_0_52_52 = e0)
% 19.12/4.99 |
% 19.12/4.99 | Simplifying 1686 yields:
% 19.12/4.99 | (12) ~ (all_0_52_52 = e0)
% 19.12/4.99 |
% 19.12/4.99 +-Applying beta-rule and splitting (9), into two cases.
% 19.12/4.99 |-Branch one:
% 19.12/4.99 | (724) all_0_54_54 = e1
% 19.12/4.99 |
% 19.12/4.99 | Equations (724) can reduce 1566 to:
% 19.12/4.99 | (301) $false
% 19.12/4.99 |
% 19.12/4.99 |-The branch is then unsatisfiable
% 19.12/4.99 |-Branch two:
% 19.12/4.99 | (1566) ~ (all_0_54_54 = e1)
% 19.12/4.99 | (1691) all_0_55_55 = e1 | all_0_57_57 = e1
% 19.12/4.99 |
% 19.12/4.99 +-Applying beta-rule and splitting (1691), into two cases.
% 19.12/4.99 |-Branch one:
% 19.12/4.99 | (1020) all_0_55_55 = e1
% 19.12/4.99 |
% 19.12/4.99 | Combining equations (1031,1020) yields a new equation:
% 19.12/4.99 | (707) e3 = e1
% 19.12/4.99 |
% 19.12/4.99 | Simplifying 707 yields:
% 19.12/4.99 | (708) e3 = e1
% 19.12/4.99 |
% 19.12/4.99 | Equations (708) can reduce 234 to:
% 19.12/4.99 | (301) $false
% 19.12/4.99 |
% 19.12/4.99 |-The branch is then unsatisfiable
% 19.12/4.99 |-Branch two:
% 19.12/4.99 | (1696) ~ (all_0_55_55 = e1)
% 19.12/4.99 | (476) all_0_57_57 = e1
% 19.12/4.99 |
% 19.12/4.99 | Equations (476) can reduce 94 to:
% 19.12/4.99 | (478) ~ (all_0_49_49 = e1)
% 19.12/4.99 |
% 19.12/4.99 | Equations (476) can reduce 223 to:
% 19.12/4.99 | (1566) ~ (all_0_54_54 = e1)
% 19.12/4.99 |
% 19.12/4.99 | Equations (476) can reduce 425 to:
% 19.12/4.99 | (786) ~ (e3 = e1)
% 19.12/4.99 |
% 19.12/4.99 | Simplifying 786 yields:
% 19.12/4.99 | (234) ~ (e3 = e1)
% 19.12/4.99 |
% 19.12/4.99 | Equations (476) can reduce 452 to:
% 19.12/4.99 | (788) ~ (e2 = e1)
% 19.12/4.99 |
% 19.12/4.99 | Simplifying 788 yields:
% 19.12/4.99 | (122) ~ (e2 = e1)
% 19.12/4.99 |
% 19.12/4.99 +-Applying beta-rule and splitting (767), into two cases.
% 19.12/4.99 |-Branch one:
% 19.12/4.99 | (491) all_0_49_49 = e4
% 19.12/4.99 |
% 19.12/4.99 | From (491) and (127) follows:
% 19.12/4.99 | (777) op(e4, e2) = all_0_19_19
% 19.12/4.99 |
% 19.12/4.99 | From (491) and (162) follows:
% 19.12/4.99 | (778) op(e4, e1) = all_0_20_20
% 19.12/4.99 |
% 19.12/4.99 | From (491) and (193) follows:
% 19.12/4.99 | (779) op(e2, e1) = e4
% 19.12/4.99 |
% 19.12/4.99 +-Applying beta-rule and splitting (1680), into two cases.
% 19.12/4.99 |-Branch one:
% 19.12/4.99 | (499) all_0_52_52 = e4
% 19.12/4.99 |
% 19.12/4.99 | Equations (499) can reduce 506 to:
% 19.12/4.99 | (199) ~ (e4 = e3)
% 19.12/4.99 |
% 19.12/4.99 | Equations (499) can reduce 279 to:
% 19.12/4.99 | (42) ~ (e4 = e2)
% 19.12/4.99 |
% 19.12/4.99 | Equations (499) can reduce 70 to:
% 19.12/4.99 | (114) ~ (e4 = e1)
% 19.12/4.99 |
% 19.12/4.99 | Equations (499) can reduce 12 to:
% 19.12/4.99 | (43) ~ (e4 = e0)
% 19.12/4.99 |
% 19.12/4.99 | From (499) and (218) follows:
% 19.12/4.99 | (662) op(e4, e3) = all_0_26_26
% 19.12/4.99 |
% 19.12/4.99 | From (499) and (107) follows:
% 19.12/4.99 | (664) op(e1, e3) = e4
% 19.12/4.99 |
% 19.12/4.99 +-Applying beta-rule and splitting (106), into two cases.
% 19.12/4.99 |-Branch one:
% 19.12/4.99 | (717) all_0_54_54 = e4
% 19.12/4.99 |
% 19.12/4.99 | Equations (717) can reduce 206 to:
% 19.12/4.99 | (199) ~ (e4 = e3)
% 19.12/4.99 |
% 19.12/4.99 | Equations (717) can reduce 283 to:
% 19.12/4.99 | (42) ~ (e4 = e2)
% 19.12/4.99 |
% 19.12/4.99 | Equations (717) can reduce 1566 to:
% 19.12/4.99 | (114) ~ (e4 = e1)
% 19.12/4.99 |
% 19.12/4.99 | Instantiating formula (151) with e4, e3, all_0_26_26, all_0_10_10 and discharging atoms op(e4, e3) = all_0_10_10, op(e4, e3) = all_0_26_26, yields:
% 19.12/4.99 | (1719) all_0_10_10 = all_0_26_26
% 19.12/4.99 |
% 19.12/4.99 | Instantiating formula (151) with e4, e3, e2, all_0_10_10 and discharging atoms op(e4, e3) = all_0_10_10, op(e4, e3) = e2, yields:
% 19.12/4.99 | (1720) all_0_10_10 = e2
% 19.12/4.99 |
% 19.12/4.99 | Instantiating formula (151) with e4, e2, all_0_11_11, e1 and discharging atoms op(e4, e2) = all_0_11_11, op(e4, e2) = e1, yields:
% 19.12/4.99 | (1721) all_0_11_11 = e1
% 19.12/4.99 |
% 19.12/4.99 | Instantiating formula (151) with e4, e2, all_0_19_19, all_0_11_11 and discharging atoms op(e4, e2) = all_0_11_11, op(e4, e2) = all_0_19_19, yields:
% 19.12/4.99 | (1722) all_0_11_11 = all_0_19_19
% 19.12/4.99 |
% 19.12/4.99 | Instantiating formula (151) with e4, e1, e3, all_0_20_20 and discharging atoms op(e4, e1) = all_0_20_20, op(e4, e1) = e3, yields:
% 19.12/4.99 | (808) all_0_20_20 = e3
% 19.12/4.99 |
% 19.12/4.99 | Instantiating formula (151) with e3, e2, e4, all_0_28_28 and discharging atoms op(e3, e2) = all_0_28_28, op(e3, e2) = e4, yields:
% 19.12/4.99 | (1724) all_0_28_28 = e4
% 19.12/4.99 |
% 19.12/4.99 | Instantiating formula (151) with e3, e1, all_0_27_27, all_0_4_4 and discharging atoms op(e3, e1) = all_0_4_4, op(e3, e1) = all_0_27_27, yields:
% 19.12/5.00 | (1725) all_0_4_4 = all_0_27_27
% 19.12/5.00 |
% 19.12/5.00 | Instantiating formula (151) with e3, e1, e2, all_0_4_4 and discharging atoms op(e3, e1) = all_0_4_4, op(e3, e1) = e2, yields:
% 19.12/5.00 | (1726) all_0_4_4 = e2
% 19.12/5.00 |
% 19.12/5.00 | Instantiating formula (151) with e2, e3, all_0_12_12, all_0_2_2 and discharging atoms op(e2, e3) = all_0_2_2, op(e2, e3) = all_0_12_12, yields:
% 19.12/5.00 | (1727) all_0_2_2 = all_0_12_12
% 19.12/5.00 |
% 19.12/5.00 | Instantiating formula (151) with e2, e3, e1, all_0_2_2 and discharging atoms op(e2, e3) = all_0_2_2, op(e2, e3) = e1, yields:
% 19.12/5.00 | (812) all_0_2_2 = e1
% 19.12/5.00 |
% 19.12/5.00 | Instantiating formula (151) with e2, e1, e4, all_0_13_13 and discharging atoms op(e2, e1) = all_0_13_13, op(e2, e1) = e4, yields:
% 19.12/5.00 | (1729) all_0_13_13 = e4
% 19.12/5.00 |
% 19.12/5.00 | Instantiating formula (151) with e1, e4, all_0_8_8, e2 and discharging atoms op(e1, e4) = all_0_8_8, op(e1, e4) = e2, yields:
% 19.12/5.00 | (1730) all_0_8_8 = e2
% 19.12/5.00 |
% 19.12/5.00 | Instantiating formula (151) with e1, e3, all_0_17_17, all_0_7_7 and discharging atoms op(e1, e3) = all_0_7_7, op(e1, e3) = all_0_17_17, yields:
% 19.12/5.00 | (1731) all_0_7_7 = all_0_17_17
% 19.12/5.00 |
% 19.12/5.00 | Instantiating formula (151) with e1, e3, e4, all_0_7_7 and discharging atoms op(e1, e3) = all_0_7_7, op(e1, e3) = e4, yields:
% 19.12/5.00 | (1732) all_0_7_7 = e4
% 19.12/5.00 |
% 19.12/5.00 | Combining equations (812,1727) yields a new equation:
% 19.12/5.00 | (1733) all_0_12_12 = e1
% 19.12/5.00 |
% 19.12/5.00 | Combining equations (1726,1725) yields a new equation:
% 19.12/5.00 | (1734) all_0_27_27 = e2
% 19.12/5.00 |
% 19.12/5.00 | Combining equations (1732,1731) yields a new equation:
% 19.12/5.00 | (827) all_0_17_17 = e4
% 19.12/5.00 |
% 19.12/5.00 | Combining equations (1719,1720) yields a new equation:
% 19.12/5.00 | (825) all_0_26_26 = e2
% 19.12/5.00 |
% 19.12/5.00 | Simplifying 825 yields:
% 19.12/5.00 | (826) all_0_26_26 = e2
% 19.12/5.00 |
% 19.12/5.00 | Combining equations (1721,1722) yields a new equation:
% 19.12/5.00 | (805) all_0_19_19 = e1
% 19.12/5.00 |
% 19.12/5.00 | Combining equations (805,1722) yields a new equation:
% 19.12/5.00 | (1721) all_0_11_11 = e1
% 19.12/5.00 |
% 19.12/5.00 | Combining equations (1734,1725) yields a new equation:
% 19.12/5.00 | (1726) all_0_4_4 = e2
% 19.12/5.00 |
% 19.12/5.00 | Combining equations (1733,1727) yields a new equation:
% 19.12/5.00 | (812) all_0_2_2 = e1
% 19.12/5.00 |
% 19.12/5.00 +-Applying beta-rule and splitting (128), into two cases.
% 19.12/5.00 |-Branch one:
% 19.12/5.00 | (837) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)) | (all_0_42_42 = e2 & ~ (all_0_44_44 = e4))
% 19.12/5.00 |
% 19.12/5.00 +-Applying beta-rule and splitting (837), into two cases.
% 19.12/5.00 |-Branch one:
% 19.12/5.00 | (838) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1))
% 19.12/5.00 |
% 19.12/5.00 +-Applying beta-rule and splitting (838), into two cases.
% 19.12/5.00 |-Branch one:
% 19.12/5.00 | (839) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56))
% 19.12/5.00 |
% 19.12/5.00 +-Applying beta-rule and splitting (839), into two cases.
% 19.12/5.00 |-Branch one:
% 19.12/5.00 | (840) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55))
% 19.12/5.00 |
% 19.12/5.00 +-Applying beta-rule and splitting (840), into two cases.
% 19.12/5.00 |-Branch one:
% 19.12/5.00 | (841) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54))
% 19.12/5.00 |
% 19.12/5.00 +-Applying beta-rule and splitting (841), into two cases.
% 19.12/5.00 |-Branch one:
% 19.12/5.00 | (842) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53))
% 19.12/5.00 |
% 19.12/5.00 +-Applying beta-rule and splitting (842), into two cases.
% 19.12/5.00 |-Branch one:
% 19.12/5.00 | (843) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52))
% 19.12/5.00 |
% 19.12/5.00 +-Applying beta-rule and splitting (843), into two cases.
% 19.12/5.00 |-Branch one:
% 19.12/5.00 | (844) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51))
% 19.12/5.00 |
% 19.12/5.00 +-Applying beta-rule and splitting (844), into two cases.
% 19.12/5.00 |-Branch one:
% 19.12/5.00 | (845) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56))
% 19.12/5.01 |
% 19.12/5.01 +-Applying beta-rule and splitting (845), into two cases.
% 19.12/5.01 |-Branch one:
% 19.12/5.01 | (846) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53))
% 19.12/5.01 |
% 19.12/5.01 +-Applying beta-rule and splitting (846), into two cases.
% 19.12/5.01 |-Branch one:
% 19.12/5.01 | (847) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47))
% 19.12/5.01 |
% 19.12/5.01 +-Applying beta-rule and splitting (847), into two cases.
% 19.12/5.01 |-Branch one:
% 19.12/5.01 | (848) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55))
% 19.12/5.01 |
% 19.12/5.01 +-Applying beta-rule and splitting (848), into two cases.
% 19.12/5.01 |-Branch one:
% 19.12/5.01 | (849) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52))
% 19.12/5.01 |
% 19.12/5.01 +-Applying beta-rule and splitting (849), into two cases.
% 19.12/5.01 |-Branch one:
% 19.12/5.01 | (850) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47))
% 19.12/5.01 |
% 19.12/5.01 +-Applying beta-rule and splitting (850), into two cases.
% 19.12/5.01 |-Branch one:
% 19.12/5.01 | (851) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42))
% 19.12/5.01 |
% 19.12/5.01 +-Applying beta-rule and splitting (851), into two cases.
% 19.12/5.01 |-Branch one:
% 19.12/5.01 | (852) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54))
% 19.12/5.01 |
% 19.12/5.01 +-Applying beta-rule and splitting (852), into two cases.
% 19.12/5.01 |-Branch one:
% 19.12/5.01 | (853) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51))
% 19.12/5.01 |
% 19.12/5.01 +-Applying beta-rule and splitting (853), into two cases.
% 19.12/5.01 |-Branch one:
% 19.12/5.01 | (854) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)
% 19.12/5.01 |
% 19.12/5.01 | Applying alpha-rule on (854) yields:
% 19.12/5.01 | (855) all_0_2_2 = e4
% 19.12/5.01 | (856) ~ (all_0_1_1 = e3)
% 19.12/5.01 | (857) ~ (all_0_39_39 = all_0_42_42)
% 19.12/5.01 |
% 19.12/5.01 | Combining equations (855,812) yields a new equation:
% 19.12/5.01 | (858) e4 = e1
% 19.12/5.01 |
% 19.12/5.01 | Simplifying 858 yields:
% 19.12/5.01 | (484) e4 = e1
% 19.12/5.01 |
% 19.12/5.01 | Equations (484) can reduce 114 to:
% 19.12/5.01 | (301) $false
% 19.12/5.01 |
% 19.12/5.01 |-The branch is then unsatisfiable
% 19.12/5.01 |-Branch two:
% 19.12/5.01 | (861) all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)
% 19.12/5.01 |
% 19.12/5.01 | Applying alpha-rule on (861) yields:
% 19.12/5.01 | (862) all_0_4_4 = e4
% 19.12/5.01 | (863) ~ (all_0_3_3 = e1)
% 19.12/5.01 | (864) ~ (all_0_40_40 = all_0_51_51)
% 19.12/5.01 |
% 19.12/5.01 | Combining equations (862,1726) yields a new equation:
% 19.12/5.01 | (553) e4 = e2
% 19.12/5.01 |
% 19.12/5.01 | Simplifying 553 yields:
% 19.12/5.01 | (504) e4 = e2
% 19.12/5.01 |
% 19.12/5.01 | Equations (504) can reduce 42 to:
% 19.12/5.01 | (301) $false
% 19.12/5.01 |
% 19.12/5.01 |-The branch is then unsatisfiable
% 19.12/5.01 |-Branch two:
% 19.12/5.01 | (868) all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)
% 19.12/5.01 |
% 19.12/5.01 | Applying alpha-rule on (868) yields:
% 19.12/5.01 | (869) all_0_6_6 = e4
% 19.12/5.01 | (870) ~ (all_0_5_5 = e0)
% 19.12/5.01 | (871) ~ (all_0_41_41 = all_0_54_54)
% 19.12/5.01 |
% 19.12/5.01 | Equations (545,717) can reduce 871 to:
% 19.12/5.01 | (301) $false
% 19.12/5.01 |
% 19.12/5.01 |-The branch is then unsatisfiable
% 19.12/5.01 |-Branch two:
% 19.12/5.01 | (873) all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)
% 19.12/5.01 |
% 19.12/5.01 | Applying alpha-rule on (873) yields:
% 19.12/5.01 | (874) all_0_8_8 = e3
% 19.12/5.01 | (875) ~ (all_0_7_7 = e4)
% 19.12/5.01 | (857) ~ (all_0_39_39 = all_0_42_42)
% 19.12/5.01 |
% 19.12/5.01 | Combining equations (874,1730) yields a new equation:
% 19.12/5.01 | (572) e3 = e2
% 19.12/5.01 |
% 19.12/5.01 | Simplifying 572 yields:
% 19.12/5.01 | (573) e3 = e2
% 19.12/5.01 |
% 19.12/5.01 | Equations (573) can reduce 231 to:
% 19.12/5.01 | (301) $false
% 19.12/5.01 |
% 19.12/5.01 |-The branch is then unsatisfiable
% 19.12/5.01 |-Branch two:
% 19.12/5.01 | (880) all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)
% 19.12/5.01 |
% 19.12/5.01 | Applying alpha-rule on (880) yields:
% 19.12/5.01 | (881) all_0_11_11 = e3
% 19.12/5.01 | (882) ~ (all_0_10_10 = e2)
% 19.12/5.01 | (883) ~ (all_0_44_44 = all_0_47_47)
% 19.12/5.01 |
% 19.12/5.01 | Combining equations (881,1721) yields a new equation:
% 19.12/5.01 | (707) e3 = e1
% 19.12/5.01 |
% 19.12/5.01 | Simplifying 707 yields:
% 19.12/5.01 | (708) e3 = e1
% 19.12/5.01 |
% 19.12/5.01 | Equations (708) can reduce 234 to:
% 19.12/5.01 | (301) $false
% 19.12/5.01 |
% 19.12/5.01 |-The branch is then unsatisfiable
% 19.12/5.01 |-Branch two:
% 19.12/5.01 | (886) all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)
% 19.12/5.01 |
% 19.12/5.01 | Applying alpha-rule on (886) yields:
% 19.12/5.01 | (887) all_0_13_13 = e3
% 19.12/5.01 | (888) ~ (all_0_12_12 = e1)
% 19.12/5.01 | (889) ~ (all_0_45_45 = all_0_52_52)
% 19.12/5.01 |
% 19.12/5.01 | Combining equations (887,1729) yields a new equation:
% 19.12/5.01 | (420) e4 = e3
% 19.12/5.01 |
% 19.12/5.01 | Equations (420) can reduce 199 to:
% 19.12/5.01 | (301) $false
% 19.12/5.01 |
% 19.12/5.01 |-The branch is then unsatisfiable
% 19.12/5.01 |-Branch two:
% 19.12/5.01 | (893) all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)
% 19.12/5.01 |
% 19.12/5.01 | Applying alpha-rule on (893) yields:
% 19.12/5.01 | (894) all_0_15_15 = e3
% 19.12/5.01 | (895) ~ (all_0_14_14 = e0)
% 19.12/5.01 | (896) ~ (all_0_46_46 = all_0_55_55)
% 19.12/5.01 |
% 19.12/5.01 | Equations (570,1031) can reduce 896 to:
% 19.12/5.01 | (301) $false
% 19.12/5.01 |
% 19.12/5.01 |-The branch is then unsatisfiable
% 19.12/5.01 |-Branch two:
% 19.12/5.01 | (900) all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)
% 19.12/5.01 |
% 19.12/5.01 | Applying alpha-rule on (900) yields:
% 19.12/5.01 | (901) all_0_17_17 = e2
% 19.12/5.01 | (902) ~ (all_0_16_16 = e3)
% 19.12/5.01 | (883) ~ (all_0_44_44 = all_0_47_47)
% 19.12/5.01 |
% 19.12/5.01 | Combining equations (901,827) yields a new equation:
% 19.12/5.01 | (504) e4 = e2
% 19.12/5.01 |
% 19.12/5.01 | Equations (504) can reduce 42 to:
% 19.12/5.01 | (301) $false
% 19.12/5.01 |
% 19.12/5.01 |-The branch is then unsatisfiable
% 19.12/5.01 |-Branch two:
% 19.12/5.01 | (906) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)
% 19.12/5.01 |
% 19.12/5.01 | Applying alpha-rule on (906) yields:
% 19.12/5.01 | (907) all_0_20_20 = e2
% 19.12/5.01 | (908) ~ (all_0_19_19 = e1)
% 19.12/5.01 | (909) ~ (all_0_49_49 = all_0_53_53)
% 19.12/5.01 |
% 19.12/5.01 | Combining equations (907,808) yields a new equation:
% 19.12/5.01 | (573) e3 = e2
% 19.12/5.01 |
% 19.12/5.01 | Equations (573) can reduce 231 to:
% 19.12/5.01 | (301) $false
% 19.12/5.01 |
% 19.12/5.01 |-The branch is then unsatisfiable
% 19.12/5.01 |-Branch two:
% 19.12/5.01 | (912) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)
% 19.12/5.01 |
% 19.12/5.01 | Applying alpha-rule on (912) yields:
% 19.12/5.01 | (913) all_0_22_22 = e2
% 19.12/5.01 | (914) ~ (all_0_21_21 = e0)
% 19.12/5.01 | (915) ~ (all_0_50_50 = all_0_56_56)
% 19.12/5.01 |
% 19.12/5.01 | Equations (356,538) can reduce 915 to:
% 19.12/5.01 | (301) $false
% 19.12/5.01 |
% 19.12/5.01 |-The branch is then unsatisfiable
% 19.12/5.01 |-Branch two:
% 19.12/5.01 | (918) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)
% 19.12/5.01 |
% 19.12/5.01 | Applying alpha-rule on (918) yields:
% 19.12/5.01 | (919) all_0_24_24 = e1
% 19.12/5.01 | (920) ~ (all_0_23_23 = e4)
% 19.12/5.01 | (864) ~ (all_0_40_40 = all_0_51_51)
% 19.12/5.01 |
% 19.12/5.01 | Combining equations (919,290) yields a new equation:
% 19.12/5.01 | (708) e3 = e1
% 19.12/5.01 |
% 19.12/5.01 | Equations (708) can reduce 234 to:
% 19.12/5.01 | (301) $false
% 19.12/5.01 |
% 19.12/5.01 |-The branch is then unsatisfiable
% 19.12/5.01 |-Branch two:
% 19.12/5.01 | (924) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)
% 19.12/5.01 |
% 19.12/5.01 | Applying alpha-rule on (924) yields:
% 19.12/5.01 | (925) all_0_26_26 = e1
% 19.12/5.01 | (926) ~ (all_0_25_25 = e3)
% 19.12/5.01 | (889) ~ (all_0_45_45 = all_0_52_52)
% 19.12/5.01 |
% 19.12/5.01 | Combining equations (925,826) yields a new equation:
% 19.12/5.01 | (928) e2 = e1
% 19.12/5.01 |
% 19.12/5.01 | Equations (928) can reduce 122 to:
% 19.12/5.01 | (301) $false
% 19.12/5.01 |
% 19.12/5.01 |-The branch is then unsatisfiable
% 19.12/5.01 |-Branch two:
% 19.12/5.01 | (930) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)
% 19.12/5.01 |
% 19.12/5.01 | Applying alpha-rule on (930) yields:
% 19.12/5.01 | (931) all_0_28_28 = e1
% 19.12/5.01 | (932) ~ (all_0_27_27 = e2)
% 19.12/5.02 | (909) ~ (all_0_49_49 = all_0_53_53)
% 19.12/5.02 |
% 19.12/5.02 | Combining equations (931,1724) yields a new equation:
% 19.12/5.02 | (484) e4 = e1
% 19.12/5.02 |
% 19.12/5.02 | Equations (484) can reduce 114 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (937) all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)
% 19.12/5.02 |
% 19.12/5.02 | Applying alpha-rule on (937) yields:
% 19.12/5.02 | (938) all_0_30_30 = e0
% 19.12/5.02 | (939) ~ (all_0_29_29 = e4)
% 19.12/5.02 | (871) ~ (all_0_41_41 = all_0_54_54)
% 19.12/5.02 |
% 19.12/5.02 | Equations (545,717) can reduce 871 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (944) all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)
% 19.12/5.02 |
% 19.12/5.02 | Applying alpha-rule on (944) yields:
% 19.12/5.02 | (945) all_0_32_32 = e0
% 19.12/5.02 | (946) ~ (all_0_31_31 = e3)
% 19.12/5.02 | (896) ~ (all_0_46_46 = all_0_55_55)
% 19.12/5.02 |
% 19.12/5.02 | Equations (570,1031) can reduce 896 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (949) all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)
% 19.12/5.02 |
% 19.12/5.02 | Applying alpha-rule on (949) yields:
% 19.12/5.02 | (950) all_0_34_34 = e0
% 19.12/5.02 | (951) ~ (all_0_33_33 = e2)
% 19.12/5.02 | (915) ~ (all_0_50_50 = all_0_56_56)
% 19.12/5.02 |
% 19.12/5.02 | Equations (356,538) can reduce 915 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (956) all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)
% 19.12/5.02 |
% 19.12/5.02 | Applying alpha-rule on (956) yields:
% 19.12/5.02 | (957) all_0_36_36 = e0
% 19.12/5.02 | (958) ~ (all_0_35_35 = e1)
% 19.12/5.02 | (726) ~ (all_0_57_57 = e1)
% 19.12/5.02 |
% 19.12/5.02 | Equations (476) can reduce 726 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (963) all_0_42_42 = e2 & ~ (all_0_44_44 = e4)
% 19.12/5.02 |
% 19.12/5.02 | Applying alpha-rule on (963) yields:
% 19.12/5.02 | (737) all_0_42_42 = e2
% 19.12/5.02 | (407) ~ (all_0_44_44 = e4)
% 19.12/5.02 |
% 19.12/5.02 | Combining equations (979,737) yields a new equation:
% 19.12/5.02 | (928) e2 = e1
% 19.12/5.02 |
% 19.12/5.02 | Equations (928) can reduce 122 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (969) all_0_53_53 = e4 & ~ (all_0_51_51 = e2)
% 19.12/5.02 |
% 19.12/5.02 | Applying alpha-rule on (969) yields:
% 19.12/5.02 | (409) all_0_53_53 = e4
% 19.12/5.02 | (971) ~ (all_0_51_51 = e2)
% 19.12/5.02 |
% 19.12/5.02 | Combining equations (419,409) yields a new equation:
% 19.12/5.02 | (420) e4 = e3
% 19.12/5.02 |
% 19.12/5.02 | Equations (420) can reduce 199 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (643) ~ (all_0_54_54 = e4)
% 19.12/5.02 | (1869) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4
% 19.12/5.02 |
% 19.12/5.02 +-Applying beta-rule and splitting (1869), into two cases.
% 19.12/5.02 |-Branch one:
% 19.12/5.02 | (503) all_0_55_55 = e4
% 19.12/5.02 |
% 19.12/5.02 | Combining equations (1031,503) yields a new equation:
% 19.12/5.02 | (420) e4 = e3
% 19.12/5.02 |
% 19.12/5.02 | Equations (420) can reduce 199 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (375) ~ (all_0_55_55 = e4)
% 19.12/5.02 | (1874) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4
% 19.12/5.02 |
% 19.12/5.02 +-Applying beta-rule and splitting (1874), into two cases.
% 19.12/5.02 |-Branch one:
% 19.12/5.02 | (523) all_0_56_56 = e4
% 19.12/5.02 |
% 19.12/5.02 | Combining equations (523,538) yields a new equation:
% 19.12/5.02 | (316) e4 = e0
% 19.12/5.02 |
% 19.12/5.02 | Simplifying 316 yields:
% 19.12/5.02 | (317) e4 = e0
% 19.12/5.02 |
% 19.12/5.02 | Equations (317) can reduce 43 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (376) ~ (all_0_56_56 = e4)
% 19.12/5.02 | (1880) all_0_57_57 = e4 | all_0_58_58 = e4
% 19.12/5.02 |
% 19.12/5.02 +-Applying beta-rule and splitting (1880), into two cases.
% 19.12/5.02 |-Branch one:
% 19.12/5.02 | (469) all_0_57_57 = e4
% 19.12/5.02 |
% 19.12/5.02 | Combining equations (476,469) yields a new equation:
% 19.12/5.02 | (484) e4 = e1
% 19.12/5.02 |
% 19.12/5.02 | Equations (484) can reduce 114 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (377) ~ (all_0_57_57 = e4)
% 19.12/5.02 | (304) all_0_58_58 = e4
% 19.12/5.02 |
% 19.12/5.02 | Combining equations (300,304) yields a new equation:
% 19.12/5.02 | (504) e4 = e2
% 19.12/5.02 |
% 19.12/5.02 | Equations (504) can reduce 42 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (410) ~ (all_0_52_52 = e4)
% 19.12/5.02 | (455) all_0_52_52 = e3
% 19.12/5.02 |
% 19.12/5.02 | Equations (455) can reduce 506 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (464) ~ (all_0_49_49 = e4)
% 19.12/5.02 | (487) all_0_49_49 = e1
% 19.12/5.02 |
% 19.12/5.02 | Equations (487) can reduce 478 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (384) ~ (all_0_43_43 = e0)
% 19.12/5.02 | (1231) all_0_43_43 = e3 | all_0_43_43 = e1
% 19.12/5.02 |
% 19.12/5.02 +-Applying beta-rule and splitting (6), into two cases.
% 19.12/5.02 |-Branch one:
% 19.12/5.02 | (323) all_0_39_39 = e0
% 19.12/5.02 |
% 19.12/5.02 | Combining equations (344,323) yields a new equation:
% 19.12/5.02 | (352) e2 = e0
% 19.12/5.02 |
% 19.12/5.02 | Simplifying 352 yields:
% 19.12/5.02 | (345) e2 = e0
% 19.12/5.02 |
% 19.12/5.02 | Equations (345) can reduce 133 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (322) ~ (all_0_39_39 = e0)
% 19.12/5.02 | (512) all_0_43_43 = e0 | all_0_47_47 = e0 | all_0_55_55 = e0
% 19.12/5.02 |
% 19.12/5.02 +-Applying beta-rule and splitting (512), into two cases.
% 19.12/5.02 |-Branch one:
% 19.12/5.02 | (513) all_0_43_43 = e0
% 19.12/5.02 |
% 19.12/5.02 | Equations (513) can reduce 384 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (384) ~ (all_0_43_43 = e0)
% 19.12/5.02 | (516) all_0_47_47 = e0 | all_0_55_55 = e0
% 19.12/5.02 |
% 19.12/5.02 +-Applying beta-rule and splitting (516), into two cases.
% 19.12/5.02 |-Branch one:
% 19.12/5.02 | (321) all_0_47_47 = e0
% 19.12/5.02 |
% 19.12/5.02 | Combining equations (483,321) yields a new equation:
% 19.12/5.02 | (934) e1 = e0
% 19.12/5.02 |
% 19.12/5.02 | Simplifying 934 yields:
% 19.12/5.02 | (935) e1 = e0
% 19.12/5.02 |
% 19.12/5.02 | Equations (935) can reduce 247 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (328) ~ (all_0_47_47 = e0)
% 19.12/5.02 | (520) all_0_55_55 = e0
% 19.12/5.02 |
% 19.12/5.02 | Combining equations (1031,520) yields a new equation:
% 19.12/5.02 | (414) e3 = e0
% 19.12/5.02 |
% 19.12/5.02 | Simplifying 414 yields:
% 19.12/5.02 | (415) e3 = e0
% 19.12/5.02 |
% 19.12/5.02 | Equations (415) can reduce 81 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (407) ~ (all_0_44_44 = e4)
% 19.12/5.02 | (408) all_0_53_53 = e4 | all_0_56_56 = e4
% 19.12/5.02 |
% 19.12/5.02 +-Applying beta-rule and splitting (1634), into two cases.
% 19.12/5.02 |-Branch one:
% 19.12/5.02 | (403) all_0_44_44 = e4
% 19.12/5.02 |
% 19.12/5.02 | Equations (403) can reduce 407 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (407) ~ (all_0_44_44 = e4)
% 19.12/5.02 | (1920) all_0_44_44 = e3 | all_0_44_44 = e0
% 19.12/5.02 |
% 19.12/5.02 +-Applying beta-rule and splitting (1920), into two cases.
% 19.12/5.02 |-Branch one:
% 19.12/5.02 | (383) all_0_44_44 = e0
% 19.12/5.02 |
% 19.12/5.02 | Equations (383) can reduce 525 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (525) ~ (all_0_44_44 = e0)
% 19.12/5.02 | (413) all_0_44_44 = e3
% 19.12/5.02 |
% 19.12/5.02 | Equations (413) can reduce 417 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (310) ~ (all_0_50_50 = e0)
% 19.12/5.02 | (308) all_0_58_58 = e0
% 19.12/5.02 |
% 19.12/5.02 | Combining equations (308,300) yields a new equation:
% 19.12/5.02 | (345) e2 = e0
% 19.12/5.02 |
% 19.12/5.02 | Equations (345) can reduce 133 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (486) ~ (all_0_47_47 = e1)
% 19.12/5.02 | (1020) all_0_55_55 = e1
% 19.12/5.02 |
% 19.12/5.02 | Combining equations (1031,1020) yields a new equation:
% 19.12/5.02 | (707) e3 = e1
% 19.12/5.02 |
% 19.12/5.02 | Simplifying 707 yields:
% 19.12/5.02 | (708) e3 = e1
% 19.12/5.02 |
% 19.12/5.02 | Equations (708) can reduce 234 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (1935) ~ (all_0_55_55 = e3)
% 19.12/5.02 | (1936) all_0_56_56 = e3 | all_0_57_57 = e3 | all_0_58_58 = e3
% 19.12/5.02 |
% 19.12/5.02 +-Applying beta-rule and splitting (1936), into two cases.
% 19.12/5.02 |-Branch one:
% 19.12/5.02 | (423) all_0_56_56 = e3
% 19.12/5.02 |
% 19.12/5.02 | Combining equations (538,423) yields a new equation:
% 19.12/5.02 | (415) e3 = e0
% 19.12/5.02 |
% 19.12/5.02 | Equations (415) can reduce 81 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (596) ~ (all_0_56_56 = e3)
% 19.12/5.02 | (1941) all_0_57_57 = e3 | all_0_58_58 = e3
% 19.12/5.02 |
% 19.12/5.02 +-Applying beta-rule and splitting (1941), into two cases.
% 19.12/5.02 |-Branch one:
% 19.12/5.02 | (473) all_0_57_57 = e3
% 19.12/5.02 |
% 19.12/5.02 | Equations (473) can reduce 425 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (425) ~ (all_0_57_57 = e3)
% 19.12/5.02 | (366) all_0_58_58 = e3
% 19.12/5.02 |
% 19.12/5.02 | Combining equations (366,300) yields a new equation:
% 19.12/5.02 | (572) e3 = e2
% 19.12/5.02 |
% 19.12/5.02 | Simplifying 572 yields:
% 19.12/5.02 | (573) e3 = e2
% 19.12/5.02 |
% 19.12/5.02 | Equations (573) can reduce 231 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (583) ~ (all_0_46_46 = e3)
% 19.12/5.02 | (366) all_0_58_58 = e3
% 19.12/5.02 |
% 19.12/5.02 | Combining equations (300,366) yields a new equation:
% 19.12/5.02 | (573) e3 = e2
% 19.12/5.02 |
% 19.12/5.02 | Equations (573) can reduce 231 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (994) ~ (all_0_40_40 = e3)
% 19.12/5.02 | (564) all_0_41_41 = e3
% 19.12/5.02 |
% 19.12/5.02 | Combining equations (545,564) yields a new equation:
% 19.12/5.02 | (508) e4 = e3
% 19.12/5.02 |
% 19.12/5.02 | Simplifying 508 yields:
% 19.12/5.02 | (420) e4 = e3
% 19.12/5.02 |
% 19.12/5.02 | Equations (420) can reduce 199 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (319) ~ (all_0_38_38 = e0)
% 19.12/5.02 | (342) all_0_42_42 = e0 | all_0_54_54 = e0
% 19.12/5.02 |
% 19.12/5.02 +-Applying beta-rule and splitting (143), into two cases.
% 19.12/5.02 |-Branch one:
% 19.12/5.02 | (315) all_0_38_38 = e0
% 19.12/5.02 |
% 19.12/5.02 | Equations (315) can reduce 319 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.02 | (319) ~ (all_0_38_38 = e0)
% 19.12/5.02 | (320) all_0_39_39 = e0 | all_0_41_41 = e0
% 19.12/5.02 |
% 19.12/5.02 +-Applying beta-rule and splitting (320), into two cases.
% 19.12/5.02 |-Branch one:
% 19.12/5.02 | (323) all_0_39_39 = e0
% 19.12/5.02 |
% 19.12/5.02 | Combining equations (323,344) yields a new equation:
% 19.12/5.02 | (345) e2 = e0
% 19.12/5.02 |
% 19.12/5.02 | Equations (345) can reduce 133 to:
% 19.12/5.02 | (301) $false
% 19.12/5.02 |
% 19.12/5.02 |-The branch is then unsatisfiable
% 19.12/5.02 |-Branch two:
% 19.12/5.03 | (322) ~ (all_0_39_39 = e0)
% 19.12/5.03 | (326) all_0_41_41 = e0
% 19.12/5.03 |
% 19.12/5.03 | Equations (326) can reduce 126 to:
% 19.12/5.03 | (624) ~ (all_0_46_46 = e0)
% 19.12/5.03 |
% 19.12/5.03 | Simplifying 624 yields:
% 19.12/5.03 | (625) ~ (all_0_46_46 = e0)
% 19.12/5.03 |
% 19.12/5.03 | Equations (326) can reduce 69 to:
% 19.12/5.03 | (685) ~ (e1 = e0)
% 19.12/5.03 |
% 19.12/5.03 | Simplifying 685 yields:
% 19.12/5.03 | (247) ~ (e1 = e0)
% 19.12/5.03 |
% 19.12/5.03 +-Applying beta-rule and splitting (30), into two cases.
% 19.12/5.03 |-Branch one:
% 19.12/5.03 | (976) all_0_42_42 = e0
% 19.12/5.03 |
% 19.12/5.03 | Combining equations (979,976) yields a new equation:
% 19.12/5.03 | (934) e1 = e0
% 19.12/5.03 |
% 19.12/5.03 | Simplifying 934 yields:
% 19.12/5.03 | (935) e1 = e0
% 19.12/5.03 |
% 19.12/5.03 | Equations (935) can reduce 247 to:
% 19.12/5.03 | (301) $false
% 19.12/5.03 |
% 19.12/5.03 |-The branch is then unsatisfiable
% 19.12/5.03 |-Branch two:
% 19.12/5.03 | (680) ~ (all_0_42_42 = e0)
% 19.12/5.03 | (1978) all_0_43_43 = e0 | all_0_44_44 = e0 | all_0_46_46 = e0
% 19.12/5.03 |
% 19.12/5.03 +-Applying beta-rule and splitting (1978), into two cases.
% 19.12/5.03 |-Branch one:
% 19.12/5.03 | (513) all_0_43_43 = e0
% 19.12/5.03 |
% 19.12/5.03 | Equations (513) can reduce 710 to:
% 19.12/5.03 | (685) ~ (e1 = e0)
% 19.12/5.03 |
% 19.12/5.03 | Simplifying 685 yields:
% 19.12/5.03 | (247) ~ (e1 = e0)
% 19.12/5.03 |
% 19.12/5.03 +-Applying beta-rule and splitting (342), into two cases.
% 19.12/5.03 |-Branch one:
% 19.12/5.03 | (976) all_0_42_42 = e0
% 19.12/5.03 |
% 19.12/5.03 | Combining equations (979,976) yields a new equation:
% 19.12/5.03 | (934) e1 = e0
% 19.12/5.03 |
% 19.12/5.03 | Simplifying 934 yields:
% 19.12/5.03 | (935) e1 = e0
% 19.51/5.03 |
% 19.51/5.03 | Equations (935) can reduce 247 to:
% 19.51/5.03 | (301) $false
% 19.51/5.03 |
% 19.51/5.03 |-The branch is then unsatisfiable
% 19.51/5.03 |-Branch two:
% 19.51/5.03 | (680) ~ (all_0_42_42 = e0)
% 19.51/5.03 | (369) all_0_54_54 = e0
% 19.51/5.03 |
% 19.51/5.03 | Equations (369) can reduce 682 to:
% 19.51/5.03 | (301) $false
% 19.51/5.03 |
% 19.51/5.03 |-The branch is then unsatisfiable
% 19.51/5.03 |-Branch two:
% 19.51/5.03 | (384) ~ (all_0_43_43 = e0)
% 19.51/5.03 | (1990) all_0_44_44 = e0 | all_0_46_46 = e0
% 19.51/5.03 |
% 19.51/5.03 +-Applying beta-rule and splitting (1990), into two cases.
% 19.51/5.03 |-Branch one:
% 19.51/5.03 | (383) all_0_44_44 = e0
% 19.51/5.03 |
% 19.51/5.03 | Equations (383) can reduce 525 to:
% 19.51/5.03 | (301) $false
% 19.51/5.03 |
% 19.51/5.03 |-The branch is then unsatisfiable
% 19.51/5.03 |-Branch two:
% 19.51/5.03 | (525) ~ (all_0_44_44 = e0)
% 19.51/5.03 | (1651) all_0_46_46 = e0
% 19.51/5.03 |
% 19.51/5.03 | Equations (1651) can reduce 625 to:
% 19.51/5.03 | (301) $false
% 19.51/5.03 |
% 19.51/5.03 |-The branch is then unsatisfiable
% 19.51/5.03 |-Branch two:
% 19.51/5.03 | (785) ~ (all_0_42_42 = e1)
% 19.51/5.03 | (1997) all_0_43_43 = e1 | all_0_45_45 = e1
% 19.51/5.03 |
% 19.51/5.03 +-Applying beta-rule and splitting (186), into two cases.
% 19.51/5.03 |-Branch one:
% 19.51/5.03 | (979) all_0_42_42 = e1
% 19.51/5.03 |
% 19.51/5.03 | Equations (979) can reduce 785 to:
% 19.51/5.03 | (301) $false
% 19.51/5.03 |
% 19.51/5.03 |-The branch is then unsatisfiable
% 19.51/5.03 |-Branch two:
% 19.51/5.03 | (785) ~ (all_0_42_42 = e1)
% 19.51/5.03 | (724) all_0_54_54 = e1
% 19.51/5.03 |
% 19.51/5.03 | Equations (724) can reduce 283 to:
% 19.51/5.03 | (788) ~ (e2 = e1)
% 19.51/5.03 |
% 19.51/5.03 | Simplifying 788 yields:
% 19.51/5.03 | (122) ~ (e2 = e1)
% 19.51/5.03 |
% 19.51/5.03 +-Applying beta-rule and splitting (220), into two cases.
% 19.51/5.03 |-Branch one:
% 19.51/5.03 | (706) all_0_43_43 = e1
% 19.51/5.03 |
% 19.51/5.03 | Equations (706) can reduce 710 to:
% 19.51/5.03 | (301) $false
% 19.51/5.03 |
% 19.51/5.03 |-The branch is then unsatisfiable
% 19.51/5.03 |-Branch two:
% 19.51/5.03 | (710) ~ (all_0_43_43 = e1)
% 19.51/5.03 | (711) all_0_47_47 = e1 | all_0_55_55 = e1
% 19.51/5.03 |
% 19.51/5.03 +-Applying beta-rule and splitting (1997), into two cases.
% 19.51/5.03 |-Branch one:
% 19.51/5.03 | (706) all_0_43_43 = e1
% 19.51/5.03 |
% 19.51/5.03 | Equations (706) can reduce 710 to:
% 19.51/5.03 | (301) $false
% 19.51/5.03 |
% 19.51/5.03 |-The branch is then unsatisfiable
% 19.51/5.03 |-Branch two:
% 19.51/5.03 | (710) ~ (all_0_43_43 = e1)
% 19.51/5.03 | (784) all_0_45_45 = e1
% 19.51/5.03 |
% 19.51/5.03 | Combining equations (752,784) yields a new equation:
% 19.51/5.03 | (1250) e2 = e1
% 19.51/5.03 |
% 19.51/5.03 | Simplifying 1250 yields:
% 19.51/5.03 | (928) e2 = e1
% 19.51/5.03 |
% 19.51/5.03 | Equations (928) can reduce 122 to:
% 19.51/5.03 | (301) $false
% 19.51/5.03 |
% 19.51/5.03 |-The branch is then unsatisfiable
% 19.51/5.03 |-Branch two:
% 19.51/5.03 | (706) all_0_43_43 = e1
% 19.51/5.03 | (2016) all_0_45_45 = e3
% 19.51/5.03 |
% 19.51/5.03 | Combining equations (752,2016) yields a new equation:
% 19.51/5.03 | (573) e3 = e2
% 19.51/5.03 |
% 19.51/5.03 | Equations (573) can reduce 231 to:
% 19.51/5.03 | (301) $false
% 19.51/5.03 |
% 19.51/5.03 |-The branch is then unsatisfiable
% 19.51/5.03 |-Branch two:
% 19.51/5.03 | (730) ~ (all_0_45_45 = e2)
% 19.51/5.03 | (571) all_0_46_46 = e2
% 19.51/5.03 |
% 19.51/5.03 | Equations (571) can reduce 575 to:
% 19.51/5.03 | (301) $false
% 19.51/5.03 |
% 19.51/5.03 |-The branch is then unsatisfiable
% 19.51/5.03 |-Branch two:
% 19.51/5.03 | (347) ~ (all_0_39_39 = e2)
% 19.51/5.03 | (348) all_0_43_43 = e2 | all_0_47_47 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2
% 19.51/5.03 |
% 19.51/5.03 +-Applying beta-rule and splitting (348), into two cases.
% 19.51/5.03 |-Branch one:
% 19.51/5.03 | (439) all_0_43_43 = e2
% 19.51/5.03 |
% 19.51/5.03 | Equations (439) can reduce 275 to:
% 19.51/5.03 | (301) $false
% 19.51/5.03 |
% 19.51/5.03 |-The branch is then unsatisfiable
% 19.51/5.03 |-Branch two:
% 19.51/5.03 | (275) ~ (all_0_43_43 = e2)
% 19.51/5.03 | (442) all_0_47_47 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2
% 19.51/5.03 |
% 19.51/5.03 +-Applying beta-rule and splitting (442), into two cases.
% 19.51/5.03 |-Branch one:
% 19.51/5.03 | (443) all_0_47_47 = e2
% 19.51/5.03 |
% 19.51/5.03 | Equations (443) can reduce 262 to:
% 19.51/5.03 | (301) $false
% 19.51/5.03 |
% 19.51/5.03 |-The branch is then unsatisfiable
% 19.51/5.03 |-Branch two:
% 19.51/5.03 | (262) ~ (all_0_47_47 = e2)
% 19.51/5.03 | (446) all_0_52_52 = e2 | all_0_55_55 = e2
% 19.51/5.03 |
% 19.51/5.03 +-Applying beta-rule and splitting (446), into two cases.
% 19.51/5.03 |-Branch one:
% 19.51/5.03 | (447) all_0_52_52 = e2
% 19.51/5.03 |
% 19.51/5.03 | Equations (447) can reduce 279 to:
% 19.51/5.03 | (301) $false
% 19.51/5.03 |
% 19.51/5.03 |-The branch is then unsatisfiable
% 19.51/5.03 |-Branch two:
% 19.51/5.03 | (279) ~ (all_0_52_52 = e2)
% 19.51/5.03 | (450) all_0_55_55 = e2
% 19.51/5.03 |
% 19.51/5.03 | Equations (450) can reduce 1140 to:
% 19.51/5.03 | (301) $false
% 19.51/5.03 |
% 19.51/5.03 |-The branch is then unsatisfiable
% 19.51/5.03 |-Branch two:
% 19.51/5.03 | (439) all_0_43_43 = e2
% 19.51/5.03 | (413) all_0_44_44 = e3
% 19.51/5.03 |
% 19.51/5.03 | Equations (439) can reduce 155 to:
% 19.51/5.03 | (347) ~ (all_0_39_39 = e2)
% 19.51/5.03 |
% 19.51/5.03 | Equations (439) can reduce 174 to:
% 19.51/5.03 | (1266) ~ (all_0_46_46 = e2)
% 19.51/5.03 |
% 19.51/5.03 | Simplifying 1266 yields:
% 19.51/5.03 | (575) ~ (all_0_46_46 = e2)
% 19.51/5.03 |
% 19.51/5.03 | Equations (439) can reduce 10 to:
% 19.51/5.03 | (2042) ~ (all_0_47_47 = e2)
% 19.51/5.03 |
% 19.51/5.03 | Simplifying 2042 yields:
% 19.51/5.03 | (262) ~ (all_0_47_47 = e2)
% 19.51/5.03 |
% 19.51/5.03 | Equations (439) can reduce 240 to:
% 19.51/5.03 | (278) ~ (all_0_52_52 = e2)
% 19.51/5.03 |
% 19.51/5.03 | Simplifying 278 yields:
% 19.51/5.03 | (279) ~ (all_0_52_52 = e2)
% 19.51/5.03 |
% 19.51/5.03 | Equations (413) can reduce 38 to:
% 19.51/5.03 | (769) ~ (all_0_45_45 = e3)
% 19.51/5.03 |
% 19.51/5.03 | Simplifying 769 yields:
% 19.51/5.03 | (770) ~ (all_0_45_45 = e3)
% 19.51/5.03 |
% 19.51/5.03 | Equations (413) can reduce 18 to:
% 19.51/5.03 | (702) ~ (all_0_46_46 = e3)
% 19.51/5.03 |
% 19.51/5.03 | Simplifying 702 yields:
% 19.51/5.03 | (583) ~ (all_0_46_46 = e3)
% 19.51/5.03 |
% 19.51/5.03 | Equations (413) can reduce 109 to:
% 19.51/5.03 | (1274) ~ (all_0_53_53 = e3)
% 19.51/5.03 |
% 19.51/5.03 | Simplifying 1274 yields:
% 19.51/5.03 | (422) ~ (all_0_53_53 = e3)
% 19.51/5.03 |
% 19.51/5.03 | From (413) and (130) follows:
% 19.51/5.03 | (2052) op(e3, e3) = all_0_10_10
% 19.51/5.03 |
% 19.51/5.03 | From (439) and (249) follows:
% 19.51/5.03 | (2053) op(e3, e3) = e2
% 19.51/5.03 |
% 19.51/5.03 +-Applying beta-rule and splitting (53), into two cases.
% 19.51/5.03 |-Branch one:
% 19.51/5.03 | (344) all_0_39_39 = e2
% 19.51/5.03 |
% 19.51/5.03 | Equations (344) can reduce 347 to:
% 19.51/5.03 | (301) $false
% 19.51/5.03 |
% 19.51/5.03 |-The branch is then unsatisfiable
% 19.51/5.03 |-Branch two:
% 19.51/5.03 | (347) ~ (all_0_39_39 = e2)
% 19.51/5.03 | (1211) all_0_40_40 = e2 | all_0_41_41 = e2
% 19.51/5.03 |
% 19.51/5.03 +-Applying beta-rule and splitting (1211), into two cases.
% 19.51/5.03 |-Branch one:
% 19.51/5.03 | (1380) all_0_40_40 = e2
% 19.51/5.03 |
% 19.51/5.03 | Equations (1380) can reduce 31 to:
% 19.51/5.03 | (347) ~ (all_0_39_39 = e2)
% 19.51/5.03 |
% 19.51/5.03 | Equations (1380) can reduce 111 to:
% 19.51/5.03 | (2060) ~ (all_0_41_41 = e2)
% 19.51/5.03 |
% 19.51/5.03 | Simplifying 2060 yields:
% 19.51/5.03 | (556) ~ (all_0_41_41 = e2)
% 19.51/5.03 |
% 19.51/5.03 | Equations (1380) can reduce 15 to:
% 19.51/5.03 | (451) ~ (all_0_57_57 = e2)
% 19.51/5.03 |
% 19.51/5.03 | Simplifying 451 yields:
% 19.51/5.03 | (452) ~ (all_0_57_57 = e2)
% 19.51/5.03 |
% 19.51/5.03 | Equations (1380) can reduce 134 to:
% 19.51/5.03 | (122) ~ (e2 = e1)
% 19.51/5.03 |
% 19.51/5.03 +-Applying beta-rule and splitting (21), into two cases.
% 19.51/5.03 |-Branch one:
% 19.51/5.03 | (403) all_0_44_44 = e4
% 19.51/5.03 |
% 19.51/5.03 | Combining equations (413,403) yields a new equation:
% 19.51/5.03 | (420) e4 = e3
% 19.51/5.03 |
% 19.51/5.03 | Equations (420) can reduce 199 to:
% 19.51/5.03 | (301) $false
% 19.51/5.03 |
% 19.51/5.03 |-The branch is then unsatisfiable
% 19.51/5.03 |-Branch two:
% 19.51/5.03 | (407) ~ (all_0_44_44 = e4)
% 19.51/5.03 | (408) all_0_53_53 = e4 | all_0_56_56 = e4
% 19.51/5.03 |
% 19.51/5.03 +-Applying beta-rule and splitting (408), into two cases.
% 19.51/5.03 |-Branch one:
% 19.51/5.03 | (409) all_0_53_53 = e4
% 19.51/5.03 |
% 19.51/5.03 | Equations (409) can reduce 60 to:
% 19.51/5.03 | (410) ~ (all_0_52_52 = e4)
% 19.51/5.03 |
% 19.51/5.03 | Equations (409) can reduce 422 to:
% 19.51/5.03 | (199) ~ (e4 = e3)
% 19.51/5.03 |
% 19.51/5.03 +-Applying beta-rule and splitting (168), into two cases.
% 19.51/5.03 |-Branch one:
% 19.51/5.03 | (447) all_0_52_52 = e2
% 19.51/5.03 |
% 19.51/5.03 | Equations (447) can reduce 279 to:
% 19.51/5.03 | (301) $false
% 19.51/5.03 |
% 19.51/5.03 |-The branch is then unsatisfiable
% 19.51/5.03 |-Branch two:
% 19.51/5.03 | (279) ~ (all_0_52_52 = e2)
% 19.51/5.03 | (1680) all_0_52_52 = e4 | all_0_52_52 = e3
% 19.51/5.03 |
% 19.51/5.03 +-Applying beta-rule and splitting (201), into two cases.
% 19.51/5.03 |-Branch one:
% 19.51/5.03 | (455) all_0_52_52 = e3
% 19.51/5.03 |
% 19.51/5.03 | Equations (455) can reduce 101 to:
% 19.51/5.03 | (49) ~ (all_0_47_47 = e3)
% 19.51/5.03 |
% 19.51/5.03 | Equations (455) can reduce 410 to:
% 19.51/5.03 | (426) ~ (e4 = e3)
% 19.51/5.03 |
% 19.51/5.03 | Simplifying 426 yields:
% 19.51/5.03 | (199) ~ (e4 = e3)
% 19.51/5.03 |
% 19.51/5.03 | Equations (455) can reduce 279 to:
% 19.51/5.03 | (231) ~ (e3 = e2)
% 19.51/5.03 |
% 19.51/5.03 | From (455) and (218) follows:
% 19.51/5.03 | (2082) op(e3, e3) = all_0_26_26
% 19.51/5.03 |
% 19.51/5.03 | From (455) and (236) follows:
% 19.51/5.03 | (2083) op(e3, e1) = all_0_25_25
% 19.51/5.03 |
% 19.51/5.03 | From (455) and (107) follows:
% 19.51/5.03 | (2084) op(e1, e3) = e3
% 19.51/5.03 |
% 19.51/5.03 +-Applying beta-rule and splitting (214), into two cases.
% 19.51/5.03 |-Branch one:
% 19.51/5.03 | (564) all_0_41_41 = e3
% 19.51/5.03 |
% 19.51/5.03 | Equations (564) can reduce 126 to:
% 19.51/5.03 | (702) ~ (all_0_46_46 = e3)
% 19.51/5.03 |
% 19.51/5.03 | Simplifying 702 yields:
% 19.51/5.03 | (583) ~ (all_0_46_46 = e3)
% 19.51/5.03 |
% 19.51/5.03 | Equations (564) can reduce 210 to:
% 19.51/5.03 | (2088) ~ (all_0_50_50 = e3)
% 19.51/5.03 |
% 19.51/5.03 | Simplifying 2088 yields:
% 19.51/5.03 | (74) ~ (all_0_50_50 = e3)
% 19.51/5.03 |
% 19.51/5.03 | Equations (564) can reduce 556 to:
% 19.51/5.03 | (231) ~ (e3 = e2)
% 19.51/5.03 |
% 19.51/5.03 | From (564) and (256) follows:
% 19.51/5.03 | (2091) op(e3, e4) = all_0_5_5
% 19.51/5.03 |
% 19.51/5.03 +-Applying beta-rule and splitting (170), into two cases.
% 19.51/5.03 |-Branch one:
% 19.51/5.03 | (319) ~ (all_0_38_38 = e0)
% 19.51/5.03 |
% 19.51/5.03 +-Applying beta-rule and splitting (76), into two cases.
% 19.51/5.03 |-Branch one:
% 19.51/5.03 | (294) all_0_38_38 = e4
% 19.51/5.03 |
% 19.51/5.03 | Equations (294) can reduce 88 to:
% 19.51/5.03 | (2094) ~ (all_0_54_54 = e4)
% 19.51/5.03 |
% 19.51/5.03 | Simplifying 2094 yields:
% 19.51/5.04 | (643) ~ (all_0_54_54 = e4)
% 19.51/5.04 |
% 19.51/5.04 | Equations (294) can reduce 319 to:
% 19.51/5.04 | (43) ~ (e4 = e0)
% 19.51/5.04 |
% 19.51/5.04 +-Applying beta-rule and splitting (27), into two cases.
% 19.51/5.04 |-Branch one:
% 19.51/5.04 | (315) all_0_38_38 = e0
% 19.51/5.04 |
% 19.51/5.04 | Combining equations (294,315) yields a new equation:
% 19.51/5.04 | (316) e4 = e0
% 19.51/5.04 |
% 19.51/5.04 | Simplifying 316 yields:
% 19.51/5.04 | (317) e4 = e0
% 19.51/5.04 |
% 19.51/5.04 | Equations (317) can reduce 43 to:
% 19.51/5.04 | (301) $false
% 19.51/5.04 |
% 19.51/5.04 |-The branch is then unsatisfiable
% 19.51/5.04 |-Branch two:
% 19.51/5.04 | (319) ~ (all_0_38_38 = e0)
% 19.51/5.04 | (342) all_0_42_42 = e0 | all_0_54_54 = e0
% 19.51/5.04 |
% 19.51/5.04 +-Applying beta-rule and splitting (342), into two cases.
% 19.51/5.04 |-Branch one:
% 19.51/5.04 | (976) all_0_42_42 = e0
% 19.51/5.04 |
% 19.51/5.04 | Equations (976) can reduce 208 to:
% 19.51/5.04 | (622) ~ (all_0_45_45 = e0)
% 19.51/5.04 |
% 19.51/5.04 | Simplifying 622 yields:
% 19.51/5.04 | (163) ~ (all_0_45_45 = e0)
% 19.51/5.04 |
% 19.51/5.04 | Equations (976) can reduce 14 to:
% 19.51/5.04 | (624) ~ (all_0_46_46 = e0)
% 19.51/5.04 |
% 19.51/5.04 | Simplifying 624 yields:
% 19.51/5.04 | (625) ~ (all_0_46_46 = e0)
% 19.51/5.04 |
% 19.51/5.04 | From (976) and (159) follows:
% 19.51/5.04 | (2108) op(e0, e4) = all_0_8_8
% 19.51/5.04 |
% 19.51/5.04 | From (976) and (45) follows:
% 19.51/5.04 | (2109) op(e3, e4) = e0
% 19.51/5.04 |
% 19.51/5.04 +-Applying beta-rule and splitting (100), into two cases.
% 19.51/5.04 |-Branch one:
% 19.51/5.04 | (571) all_0_46_46 = e2
% 19.51/5.04 |
% 19.51/5.04 | Equations (571) can reduce 575 to:
% 19.51/5.04 | (301) $false
% 19.51/5.04 |
% 19.51/5.04 |-The branch is then unsatisfiable
% 19.51/5.04 |-Branch two:
% 19.51/5.04 | (575) ~ (all_0_46_46 = e2)
% 19.51/5.04 | (2113) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e0
% 19.51/5.04 |
% 19.51/5.04 +-Applying beta-rule and splitting (2113), into two cases.
% 19.51/5.04 |-Branch one:
% 19.51/5.04 | (1056) all_0_46_46 = e4
% 19.51/5.04 |
% 19.51/5.04 | Equations (1056) can reduce 583 to:
% 19.51/5.04 | (199) ~ (e4 = e3)
% 19.51/5.04 |
% 19.51/5.04 | Equations (1056) can reduce 575 to:
% 19.51/5.04 | (42) ~ (e4 = e2)
% 19.51/5.04 |
% 19.51/5.04 | Equations (1056) can reduce 625 to:
% 19.51/5.04 | (43) ~ (e4 = e0)
% 19.51/5.04 |
% 19.51/5.04 +-Applying beta-rule and splitting (24), into two cases.
% 19.51/5.04 |-Branch one:
% 19.51/5.04 | (331) all_0_50_50 = e2
% 19.51/5.04 |
% 19.51/5.04 | Equations (331) can reduce 266 to:
% 19.51/5.04 | (301) $false
% 19.51/5.04 |
% 19.51/5.04 |-The branch is then unsatisfiable
% 19.51/5.04 |-Branch two:
% 19.51/5.04 | (266) ~ (all_0_50_50 = e2)
% 19.51/5.04 | (334) all_0_50_50 = e4 | all_0_50_50 = e0
% 19.51/5.04 |
% 19.51/5.04 +-Applying beta-rule and splitting (143), into two cases.
% 19.51/5.04 |-Branch one:
% 19.51/5.04 | (315) all_0_38_38 = e0
% 19.51/5.04 |
% 19.51/5.04 | Combining equations (294,315) yields a new equation:
% 19.51/5.04 | (316) e4 = e0
% 19.51/5.04 |
% 19.51/5.04 | Simplifying 316 yields:
% 19.51/5.04 | (317) e4 = e0
% 19.51/5.04 |
% 19.51/5.04 | Equations (317) can reduce 43 to:
% 19.51/5.04 | (301) $false
% 19.51/5.04 |
% 19.51/5.04 |-The branch is then unsatisfiable
% 19.51/5.04 |-Branch two:
% 19.51/5.04 | (319) ~ (all_0_38_38 = e0)
% 19.51/5.04 | (320) all_0_39_39 = e0 | all_0_41_41 = e0
% 19.51/5.04 |
% 19.51/5.04 +-Applying beta-rule and splitting (140), into two cases.
% 19.51/5.04 |-Branch one:
% 19.51/5.04 | (768) all_0_40_40 = e3
% 19.51/5.04 |
% 19.51/5.04 | Combining equations (1380,768) yields a new equation:
% 19.51/5.04 | (573) e3 = e2
% 19.51/5.04 |
% 19.51/5.04 | Equations (573) can reduce 231 to:
% 19.51/5.04 | (301) $false
% 19.51/5.04 |
% 19.51/5.04 |-The branch is then unsatisfiable
% 19.51/5.04 |-Branch two:
% 19.51/5.04 | (994) ~ (all_0_40_40 = e3)
% 19.51/5.04 | (995) all_0_45_45 = e3 | all_0_57_57 = e3
% 19.51/5.04 |
% 19.51/5.04 +-Applying beta-rule and splitting (28), into two cases.
% 19.51/5.04 |-Branch one:
% 19.51/5.04 | (979) all_0_42_42 = e1
% 19.51/5.04 |
% 19.51/5.04 | Combining equations (979,976) yields a new equation:
% 19.51/5.04 | (934) e1 = e0
% 19.51/5.04 |
% 19.51/5.04 | Simplifying 934 yields:
% 19.51/5.04 | (935) e1 = e0
% 19.51/5.04 |
% 19.51/5.04 | Equations (935) can reduce 247 to:
% 19.51/5.04 | (301) $false
% 19.51/5.04 |
% 19.51/5.04 |-The branch is then unsatisfiable
% 19.51/5.04 |-Branch two:
% 19.51/5.04 | (785) ~ (all_0_42_42 = e1)
% 19.51/5.04 | (1997) all_0_43_43 = e1 | all_0_45_45 = e1
% 19.51/5.04 |
% 19.51/5.04 +-Applying beta-rule and splitting (1997), into two cases.
% 19.51/5.04 |-Branch one:
% 19.51/5.04 | (706) all_0_43_43 = e1
% 19.51/5.04 |
% 19.51/5.04 | Combining equations (439,706) yields a new equation:
% 19.51/5.04 | (1250) e2 = e1
% 19.51/5.04 |
% 19.51/5.04 | Simplifying 1250 yields:
% 19.51/5.04 | (928) e2 = e1
% 19.51/5.04 |
% 19.51/5.04 | Equations (928) can reduce 122 to:
% 19.51/5.04 | (301) $false
% 19.51/5.04 |
% 19.51/5.04 |-The branch is then unsatisfiable
% 19.51/5.04 |-Branch two:
% 19.51/5.04 | (710) ~ (all_0_43_43 = e1)
% 19.51/5.04 | (784) all_0_45_45 = e1
% 19.51/5.04 |
% 19.51/5.04 | Equations (784) can reduce 23 to:
% 19.51/5.04 | (713) ~ (all_0_49_49 = e1)
% 19.51/5.04 |
% 19.51/5.04 | Simplifying 713 yields:
% 19.51/5.04 | (478) ~ (all_0_49_49 = e1)
% 19.51/5.04 |
% 19.51/5.04 | Equations (784) can reduce 770 to:
% 19.51/5.04 | (786) ~ (e3 = e1)
% 19.51/5.04 |
% 19.51/5.04 | Simplifying 786 yields:
% 19.51/5.04 | (234) ~ (e3 = e1)
% 19.51/5.04 |
% 19.51/5.04 | Equations (784) can reduce 163 to:
% 19.51/5.04 | (247) ~ (e1 = e0)
% 19.51/5.04 |
% 19.51/5.04 | From (784) and (50) follows:
% 19.51/5.04 | (791) op(e1, e3) = all_0_12_12
% 19.51/5.04 |
% 19.51/5.04 | From (784) and (44) follows:
% 19.51/5.04 | (792) op(e1, e1) = all_0_13_13
% 19.51/5.04 |
% 19.51/5.04 | From (784) and (196) follows:
% 19.51/5.04 | (793) op(e3, e1) = e1
% 19.51/5.04 |
% 19.51/5.04 +-Applying beta-rule and splitting (995), into two cases.
% 19.51/5.04 |-Branch one:
% 19.51/5.04 | (2016) all_0_45_45 = e3
% 19.51/5.04 |
% 19.51/5.04 | Combining equations (784,2016) yields a new equation:
% 19.51/5.04 | (708) e3 = e1
% 19.51/5.04 |
% 19.51/5.04 | Equations (708) can reduce 234 to:
% 19.51/5.04 | (301) $false
% 19.51/5.04 |
% 19.51/5.04 |-The branch is then unsatisfiable
% 19.51/5.04 |-Branch two:
% 19.51/5.04 | (770) ~ (all_0_45_45 = e3)
% 19.51/5.04 | (473) all_0_57_57 = e3
% 19.51/5.04 |
% 19.51/5.04 | Equations (473) can reduce 94 to:
% 19.51/5.04 | (191) ~ (all_0_49_49 = e3)
% 19.51/5.04 |
% 19.51/5.04 | Equations (473) can reduce 452 to:
% 19.51/5.04 | (231) ~ (e3 = e2)
% 19.51/5.04 |
% 19.51/5.04 | Equations (473) can reduce 189 to:
% 19.51/5.04 | (81) ~ (e3 = e0)
% 19.51/5.04 |
% 19.51/5.04 | From (473) and (73) follows:
% 19.51/5.04 | (2161) op(e3, e1) = all_0_36_36
% 19.51/5.04 |
% 19.51/5.04 +-Applying beta-rule and splitting (233), into two cases.
% 19.51/5.04 |-Branch one:
% 19.51/5.04 | (465) all_0_40_40 = e4
% 19.51/5.04 |
% 19.51/5.04 | Combining equations (1380,465) yields a new equation:
% 19.51/5.04 | (504) e4 = e2
% 19.51/5.04 |
% 19.51/5.04 | Equations (504) can reduce 42 to:
% 19.51/5.04 | (301) $false
% 19.51/5.04 |
% 19.51/5.04 |-The branch is then unsatisfiable
% 19.51/5.04 |-Branch two:
% 19.51/5.04 | (298) ~ (all_0_40_40 = e4)
% 19.51/5.04 | (468) all_0_45_45 = e4 | all_0_49_49 = e4 | all_0_57_57 = e4
% 19.51/5.04 |
% 19.51/5.04 +-Applying beta-rule and splitting (186), into two cases.
% 19.51/5.04 |-Branch one:
% 19.51/5.04 | (979) all_0_42_42 = e1
% 19.51/5.04 |
% 19.51/5.04 | Combining equations (979,976) yields a new equation:
% 19.51/5.04 | (934) e1 = e0
% 19.51/5.04 |
% 19.51/5.04 | Simplifying 934 yields:
% 19.51/5.04 | (935) e1 = e0
% 19.51/5.04 |
% 19.51/5.04 | Equations (935) can reduce 247 to:
% 19.51/5.04 | (301) $false
% 19.51/5.04 |
% 19.51/5.04 |-The branch is then unsatisfiable
% 19.51/5.04 |-Branch two:
% 19.51/5.04 | (785) ~ (all_0_42_42 = e1)
% 19.51/5.04 | (724) all_0_54_54 = e1
% 19.51/5.04 |
% 19.51/5.04 | Equations (724) can reduce 643 to:
% 19.51/5.04 | (479) ~ (e4 = e1)
% 19.51/5.04 |
% 19.51/5.04 | Simplifying 479 yields:
% 19.51/5.04 | (114) ~ (e4 = e1)
% 19.51/5.04 |
% 19.51/5.04 | From (724) and (52) follows:
% 19.51/5.04 | (727) op(e1, e4) = all_0_30_30
% 19.51/5.04 |
% 19.51/5.04 | From (724) and (258) follows:
% 19.51/5.04 | (2176) op(e0, e4) = e1
% 19.51/5.04 |
% 19.51/5.04 +-Applying beta-rule and splitting (468), into two cases.
% 19.51/5.04 |-Branch one:
% 19.51/5.04 | (481) all_0_45_45 = e4
% 19.51/5.04 |
% 19.51/5.04 | Combining equations (784,481) yields a new equation:
% 19.51/5.04 | (484) e4 = e1
% 19.51/5.04 |
% 19.51/5.04 | Equations (484) can reduce 114 to:
% 19.51/5.04 | (301) $false
% 19.51/5.04 |
% 19.51/5.04 |-The branch is then unsatisfiable
% 19.51/5.04 |-Branch two:
% 19.51/5.04 | (489) ~ (all_0_45_45 = e4)
% 19.51/5.04 | (490) all_0_49_49 = e4 | all_0_57_57 = e4
% 19.51/5.04 |
% 19.51/5.04 +-Applying beta-rule and splitting (244), into two cases.
% 19.51/5.04 |-Branch one:
% 19.51/5.04 | (344) all_0_39_39 = e2
% 19.51/5.04 |
% 19.51/5.04 | Equations (344) can reduce 347 to:
% 19.51/5.04 | (301) $false
% 19.51/5.04 |
% 19.51/5.04 |-The branch is then unsatisfiable
% 19.51/5.04 |-Branch two:
% 19.51/5.04 | (347) ~ (all_0_39_39 = e2)
% 19.51/5.04 | (1218) all_0_39_39 = e4 | all_0_39_39 = e3 | all_0_39_39 = e0
% 19.51/5.04 |
% 19.51/5.04 +-Applying beta-rule and splitting (320), into two cases.
% 19.51/5.04 |-Branch one:
% 19.51/5.04 | (323) all_0_39_39 = e0
% 19.51/5.04 |
% 19.51/5.04 | Equations (323) can reduce 157 to:
% 19.51/5.04 | (1320) ~ (all_0_47_47 = e0)
% 19.51/5.04 |
% 19.51/5.04 | Simplifying 1320 yields:
% 19.51/5.04 | (328) ~ (all_0_47_47 = e0)
% 19.51/5.04 |
% 19.51/5.04 | Equations (323) can reduce 347 to:
% 19.51/5.04 | (313) ~ (e2 = e0)
% 19.51/5.04 |
% 19.51/5.04 | Simplifying 313 yields:
% 19.51/5.04 | (133) ~ (e2 = e0)
% 19.51/5.04 |
% 19.51/5.04 | From (323) and (82) follows:
% 19.51/5.04 | (2191) op(e0, e4) = all_0_1_1
% 19.51/5.04 |
% 19.51/5.04 +-Applying beta-rule and splitting (209), into two cases.
% 19.51/5.04 |-Branch one:
% 19.51/5.04 | (483) all_0_47_47 = e1
% 19.51/5.04 |
% 19.51/5.04 | Equations (483) can reduce 93 to:
% 19.51/5.04 | (713) ~ (all_0_49_49 = e1)
% 19.51/5.04 |
% 19.51/5.04 | Simplifying 713 yields:
% 19.51/5.04 | (478) ~ (all_0_49_49 = e1)
% 19.51/5.04 |
% 19.51/5.04 | Equations (483) can reduce 242 to:
% 19.51/5.04 | (1640) ~ (all_0_50_50 = e1)
% 19.51/5.04 |
% 19.51/5.04 | Simplifying 1640 yields:
% 19.51/5.04 | (33) ~ (all_0_50_50 = e1)
% 19.51/5.04 |
% 19.51/5.04 | Equations (483) can reduce 49 to:
% 19.51/5.04 | (786) ~ (e3 = e1)
% 19.51/5.04 |
% 19.51/5.04 | Simplifying 786 yields:
% 19.51/5.04 | (234) ~ (e3 = e1)
% 19.51/5.04 |
% 19.51/5.04 | Equations (483) can reduce 262 to:
% 19.51/5.04 | (788) ~ (e2 = e1)
% 19.51/5.04 |
% 19.51/5.04 | Simplifying 788 yields:
% 19.51/5.04 | (122) ~ (e2 = e1)
% 19.51/5.04 |
% 19.51/5.04 | Equations (483) can reduce 328 to:
% 19.51/5.04 | (247) ~ (e1 = e0)
% 19.51/5.04 |
% 19.51/5.04 | From (483) and (142) follows:
% 19.51/5.04 | (715) op(e1, e3) = all_0_17_17
% 19.51/5.04 |
% 19.51/5.04 +-Applying beta-rule and splitting (490), into two cases.
% 19.51/5.04 |-Branch one:
% 19.51/5.04 | (491) all_0_49_49 = e4
% 19.51/5.04 |
% 19.51/5.04 | Equations (491) can reduce 191 to:
% 19.51/5.04 | (199) ~ (e4 = e3)
% 19.51/5.04 |
% 19.51/5.04 | Equations (491) can reduce 478 to:
% 19.51/5.04 | (114) ~ (e4 = e1)
% 19.51/5.04 |
% 19.51/5.04 | Equations (491) can reduce 241 to:
% 19.51/5.04 | (43) ~ (e4 = e0)
% 19.51/5.04 |
% 19.51/5.04 +-Applying beta-rule and splitting (228), into two cases.
% 19.51/5.04 |-Branch one:
% 19.51/5.04 | (321) all_0_47_47 = e0
% 19.51/5.04 |
% 19.51/5.04 | Combining equations (483,321) yields a new equation:
% 19.51/5.04 | (934) e1 = e0
% 19.51/5.04 |
% 19.51/5.04 | Simplifying 934 yields:
% 19.51/5.04 | (935) e1 = e0
% 19.51/5.04 |
% 19.51/5.04 | Equations (935) can reduce 247 to:
% 19.51/5.04 | (301) $false
% 19.51/5.04 |
% 19.51/5.04 |-The branch is then unsatisfiable
% 19.51/5.04 |-Branch two:
% 19.51/5.04 | (328) ~ (all_0_47_47 = e0)
% 19.51/5.04 | (329) all_0_48_48 = e0 | all_0_50_50 = e0
% 19.51/5.04 |
% 19.51/5.04 +-Applying beta-rule and splitting (83), into two cases.
% 19.51/5.04 |-Branch one:
% 19.51/5.04 | (428) all_0_39_39 = e4
% 19.51/5.04 |
% 19.51/5.04 | Combining equations (428,323) yields a new equation:
% 19.51/5.04 | (316) e4 = e0
% 19.51/5.04 |
% 19.51/5.04 | Simplifying 316 yields:
% 19.51/5.04 | (317) e4 = e0
% 19.51/5.04 |
% 19.51/5.04 | Equations (317) can reduce 43 to:
% 19.51/5.04 | (301) $false
% 19.51/5.04 |
% 19.51/5.04 |-The branch is then unsatisfiable
% 19.51/5.04 |-Branch two:
% 19.51/5.04 | (296) ~ (all_0_39_39 = e4)
% 19.51/5.04 | (431) all_0_47_47 = e4 | all_0_52_52 = e4 | all_0_55_55 = e4
% 19.51/5.04 |
% 19.51/5.04 +-Applying beta-rule and splitting (431), into two cases.
% 19.51/5.04 |-Branch one:
% 19.51/5.04 | (462) all_0_47_47 = e4
% 19.51/5.04 |
% 19.51/5.04 | Combining equations (483,462) yields a new equation:
% 19.51/5.04 | (484) e4 = e1
% 19.51/5.04 |
% 19.51/5.04 | Equations (484) can reduce 114 to:
% 19.51/5.04 | (301) $false
% 19.51/5.04 |
% 19.51/5.04 |-The branch is then unsatisfiable
% 19.51/5.04 |-Branch two:
% 19.51/5.04 | (497) ~ (all_0_47_47 = e4)
% 19.51/5.04 | (498) all_0_52_52 = e4 | all_0_55_55 = e4
% 19.51/5.04 |
% 19.51/5.04 +-Applying beta-rule and splitting (498), into two cases.
% 19.51/5.04 |-Branch one:
% 19.51/5.04 | (499) all_0_52_52 = e4
% 19.51/5.04 |
% 19.51/5.04 | Combining equations (499,455) yields a new equation:
% 19.51/5.04 | (508) e4 = e3
% 19.51/5.04 |
% 19.51/5.04 | Simplifying 508 yields:
% 19.51/5.04 | (420) e4 = e3
% 19.51/5.04 |
% 19.51/5.04 | Equations (420) can reduce 199 to:
% 19.51/5.04 | (301) $false
% 19.51/5.04 |
% 19.51/5.04 |-The branch is then unsatisfiable
% 19.51/5.04 |-Branch two:
% 19.51/5.04 | (410) ~ (all_0_52_52 = e4)
% 19.51/5.04 | (503) all_0_55_55 = e4
% 19.51/5.04 |
% 19.51/5.04 +-Applying beta-rule and splitting (329), into two cases.
% 19.51/5.04 |-Branch one:
% 19.51/5.04 | (351) all_0_48_48 = e0
% 19.51/5.04 |
% 19.51/5.04 | Combining equations (260,351) yields a new equation:
% 19.51/5.04 | (352) e2 = e0
% 19.51/5.04 |
% 19.51/5.04 | Simplifying 352 yields:
% 19.51/5.04 | (345) e2 = e0
% 19.51/5.04 |
% 19.51/5.04 | Equations (345) can reduce 133 to:
% 19.51/5.04 | (301) $false
% 19.51/5.04 |
% 19.51/5.04 |-The branch is then unsatisfiable
% 19.51/5.04 |-Branch two:
% 19.51/5.04 | (259) ~ (all_0_48_48 = e0)
% 19.51/5.04 | (356) all_0_50_50 = e0
% 19.51/5.04 |
% 19.51/5.04 | Equations (356) can reduce 74 to:
% 19.51/5.04 | (392) ~ (e3 = e0)
% 19.51/5.04 |
% 19.51/5.04 | Simplifying 392 yields:
% 19.51/5.04 | (81) ~ (e3 = e0)
% 19.51/5.04 |
% 19.51/5.04 | Equations (356) can reduce 266 to:
% 19.51/5.04 | (313) ~ (e2 = e0)
% 19.51/5.04 |
% 19.51/5.04 | Simplifying 313 yields:
% 19.51/5.04 | (133) ~ (e2 = e0)
% 19.51/5.04 |
% 19.51/5.04 | Equations (356) can reduce 33 to:
% 19.51/5.04 | (685) ~ (e1 = e0)
% 19.51/5.04 |
% 19.51/5.04 | Simplifying 685 yields:
% 19.51/5.04 | (247) ~ (e1 = e0)
% 19.51/5.04 |
% 19.51/5.05 | Instantiating formula (151) with e3, e4, e0, all_0_5_5 and discharging atoms op(e3, e4) = all_0_5_5, op(e3, e4) = e0, yields:
% 19.51/5.05 | (802) all_0_5_5 = e0
% 19.51/5.05 |
% 19.51/5.05 | Instantiating formula (151) with e3, e3, all_0_26_26, all_0_10_10 and discharging atoms op(e3, e3) = all_0_10_10, op(e3, e3) = all_0_26_26, yields:
% 19.51/5.05 | (1719) all_0_10_10 = all_0_26_26
% 19.51/5.05 |
% 19.51/5.05 | Instantiating formula (151) with e3, e3, e2, all_0_10_10 and discharging atoms op(e3, e3) = all_0_10_10, op(e3, e3) = e2, yields:
% 19.51/5.05 | (1720) all_0_10_10 = e2
% 19.51/5.05 |
% 19.51/5.05 | Instantiating formula (151) with e3, e1, all_0_36_36, all_0_25_25 and discharging atoms op(e3, e1) = all_0_25_25, op(e3, e1) = all_0_36_36, yields:
% 19.51/5.05 | (2245) all_0_25_25 = all_0_36_36
% 19.51/5.05 |
% 19.51/5.05 | Instantiating formula (151) with e3, e1, e1, all_0_25_25 and discharging atoms op(e3, e1) = all_0_25_25, op(e3, e1) = e1, yields:
% 19.51/5.05 | (2246) all_0_25_25 = e1
% 19.51/5.05 |
% 19.51/5.05 | Instantiating formula (151) with e1, e4, all_0_30_30, e2 and discharging atoms op(e1, e4) = all_0_30_30, op(e1, e4) = e2, yields:
% 19.51/5.05 | (816) all_0_30_30 = e2
% 19.51/5.05 |
% 19.51/5.05 | Instantiating formula (151) with e1, e3, all_0_17_17, all_0_12_12 and discharging atoms op(e1, e3) = all_0_12_12, op(e1, e3) = all_0_17_17, yields:
% 19.51/5.05 | (817) all_0_12_12 = all_0_17_17
% 19.51/5.05 |
% 19.51/5.05 | Instantiating formula (151) with e1, e3, e3, all_0_12_12 and discharging atoms op(e1, e3) = all_0_12_12, op(e1, e3) = e3, yields:
% 19.51/5.05 | (2249) all_0_12_12 = e3
% 19.51/5.05 |
% 19.51/5.05 | Instantiating formula (151) with e1, e1, all_0_13_13, e0 and discharging atoms op(e1, e1) = all_0_13_13, op(e1, e1) = e0, yields:
% 19.51/5.05 | (819) all_0_13_13 = e0
% 19.51/5.05 |
% 19.51/5.05 | Instantiating formula (151) with e0, e4, all_0_8_8, all_0_1_1 and discharging atoms op(e0, e4) = all_0_1_1, op(e0, e4) = all_0_8_8, yields:
% 19.51/5.05 | (2251) all_0_1_1 = all_0_8_8
% 19.51/5.05 |
% 19.51/5.05 | Instantiating formula (151) with e0, e4, e1, all_0_1_1 and discharging atoms op(e0, e4) = all_0_1_1, op(e0, e4) = e1, yields:
% 19.51/5.05 | (2252) all_0_1_1 = e1
% 19.51/5.05 |
% 19.51/5.05 | Combining equations (2251,2252) yields a new equation:
% 19.51/5.05 | (2253) all_0_8_8 = e1
% 19.51/5.05 |
% 19.51/5.05 | Simplifying 2253 yields:
% 19.51/5.05 | (2254) all_0_8_8 = e1
% 19.51/5.05 |
% 19.51/5.05 | Combining equations (1720,1719) yields a new equation:
% 19.51/5.05 | (826) all_0_26_26 = e2
% 19.51/5.05 |
% 19.51/5.05 | Combining equations (2249,817) yields a new equation:
% 19.51/5.05 | (2256) all_0_17_17 = e3
% 19.51/5.05 |
% 19.51/5.05 | Combining equations (2246,2245) yields a new equation:
% 19.51/5.05 | (2257) all_0_36_36 = e1
% 19.51/5.05 |
% 19.51/5.05 | Combining equations (826,1719) yields a new equation:
% 19.51/5.05 | (1720) all_0_10_10 = e2
% 19.51/5.05 |
% 19.51/5.05 +-Applying beta-rule and splitting (128), into two cases.
% 19.51/5.05 |-Branch one:
% 19.51/5.05 | (837) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)) | (all_0_42_42 = e2 & ~ (all_0_44_44 = e4))
% 19.51/5.05 |
% 19.51/5.05 +-Applying beta-rule and splitting (837), into two cases.
% 19.51/5.05 |-Branch one:
% 19.51/5.05 | (838) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1))
% 19.51/5.05 |
% 19.51/5.05 +-Applying beta-rule and splitting (838), into two cases.
% 19.51/5.05 |-Branch one:
% 19.51/5.05 | (839) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56))
% 19.51/5.05 |
% 19.51/5.05 +-Applying beta-rule and splitting (839), into two cases.
% 19.51/5.05 |-Branch one:
% 19.51/5.05 | (840) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55))
% 19.51/5.05 |
% 19.51/5.05 +-Applying beta-rule and splitting (840), into two cases.
% 19.51/5.05 |-Branch one:
% 19.51/5.05 | (841) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54))
% 19.51/5.05 |
% 19.51/5.05 +-Applying beta-rule and splitting (841), into two cases.
% 19.51/5.05 |-Branch one:
% 19.51/5.05 | (842) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53))
% 19.51/5.05 |
% 19.51/5.05 +-Applying beta-rule and splitting (842), into two cases.
% 19.51/5.05 |-Branch one:
% 19.51/5.05 | (843) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52))
% 19.51/5.05 |
% 19.51/5.05 +-Applying beta-rule and splitting (843), into two cases.
% 19.51/5.05 |-Branch one:
% 19.51/5.05 | (844) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51))
% 19.51/5.05 |
% 19.51/5.05 +-Applying beta-rule and splitting (844), into two cases.
% 19.51/5.05 |-Branch one:
% 19.51/5.05 | (845) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56))
% 19.51/5.05 |
% 19.51/5.05 +-Applying beta-rule and splitting (845), into two cases.
% 19.51/5.05 |-Branch one:
% 19.51/5.05 | (846) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53))
% 19.51/5.06 |
% 19.51/5.06 +-Applying beta-rule and splitting (846), into two cases.
% 19.51/5.06 |-Branch one:
% 19.51/5.06 | (847) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47))
% 19.51/5.06 |
% 19.51/5.06 +-Applying beta-rule and splitting (847), into two cases.
% 19.51/5.06 |-Branch one:
% 19.51/5.06 | (848) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55))
% 19.51/5.06 |
% 19.51/5.06 +-Applying beta-rule and splitting (848), into two cases.
% 19.51/5.06 |-Branch one:
% 19.51/5.06 | (849) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52))
% 19.51/5.06 |
% 19.51/5.06 +-Applying beta-rule and splitting (849), into two cases.
% 19.51/5.06 |-Branch one:
% 19.51/5.06 | (850) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47))
% 19.51/5.06 |
% 19.51/5.06 +-Applying beta-rule and splitting (850), into two cases.
% 19.51/5.06 |-Branch one:
% 19.51/5.06 | (851) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42))
% 19.51/5.06 |
% 19.51/5.06 +-Applying beta-rule and splitting (851), into two cases.
% 19.51/5.06 |-Branch one:
% 19.51/5.06 | (852) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54))
% 19.51/5.06 |
% 19.51/5.06 +-Applying beta-rule and splitting (852), into two cases.
% 19.51/5.06 |-Branch one:
% 19.51/5.06 | (853) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51))
% 19.51/5.06 |
% 19.51/5.06 +-Applying beta-rule and splitting (853), into two cases.
% 19.51/5.06 |-Branch one:
% 19.51/5.06 | (854) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)
% 19.51/5.06 |
% 19.51/5.06 | Applying alpha-rule on (854) yields:
% 19.51/5.06 | (855) all_0_2_2 = e4
% 19.51/5.06 | (856) ~ (all_0_1_1 = e3)
% 19.51/5.06 | (857) ~ (all_0_39_39 = all_0_42_42)
% 19.51/5.06 |
% 19.51/5.06 | Equations (323,976) can reduce 857 to:
% 19.51/5.06 | (301) $false
% 19.51/5.06 |
% 19.51/5.06 |-The branch is then unsatisfiable
% 19.51/5.06 |-Branch two:
% 19.51/5.06 | (861) all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)
% 19.51/5.06 |
% 19.51/5.06 | Applying alpha-rule on (861) yields:
% 19.51/5.06 | (862) all_0_4_4 = e4
% 19.51/5.06 | (863) ~ (all_0_3_3 = e1)
% 19.51/5.06 | (864) ~ (all_0_40_40 = all_0_51_51)
% 19.51/5.06 |
% 19.51/5.06 | Equations (1380,276) can reduce 864 to:
% 19.51/5.06 | (301) $false
% 19.51/5.06 |
% 19.51/5.06 |-The branch is then unsatisfiable
% 19.51/5.06 |-Branch two:
% 19.51/5.06 | (868) all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)
% 19.51/5.06 |
% 19.51/5.06 | Applying alpha-rule on (868) yields:
% 19.51/5.06 | (869) all_0_6_6 = e4
% 19.51/5.06 | (870) ~ (all_0_5_5 = e0)
% 19.51/5.06 | (871) ~ (all_0_41_41 = all_0_54_54)
% 19.51/5.06 |
% 19.51/5.06 | Equations (802) can reduce 870 to:
% 19.51/5.06 | (301) $false
% 19.51/5.06 |
% 19.51/5.06 |-The branch is then unsatisfiable
% 19.51/5.06 |-Branch two:
% 19.51/5.06 | (873) all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)
% 19.51/5.06 |
% 19.51/5.06 | Applying alpha-rule on (873) yields:
% 19.51/5.06 | (874) all_0_8_8 = e3
% 19.51/5.06 | (875) ~ (all_0_7_7 = e4)
% 19.51/5.06 | (857) ~ (all_0_39_39 = all_0_42_42)
% 19.51/5.06 |
% 19.51/5.06 | Combining equations (874,2254) yields a new equation:
% 19.51/5.06 | (707) e3 = e1
% 19.51/5.06 |
% 19.51/5.06 | Simplifying 707 yields:
% 19.51/5.06 | (708) e3 = e1
% 19.51/5.06 |
% 19.51/5.06 | Equations (708) can reduce 234 to:
% 19.51/5.06 | (301) $false
% 19.51/5.06 |
% 19.51/5.06 |-The branch is then unsatisfiable
% 19.51/5.06 |-Branch two:
% 19.51/5.06 | (880) all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)
% 19.51/5.06 |
% 19.51/5.06 | Applying alpha-rule on (880) yields:
% 19.51/5.06 | (881) all_0_11_11 = e3
% 19.51/5.06 | (882) ~ (all_0_10_10 = e2)
% 19.51/5.06 | (883) ~ (all_0_44_44 = all_0_47_47)
% 19.51/5.06 |
% 19.51/5.06 | Equations (1720) can reduce 882 to:
% 19.51/5.06 | (301) $false
% 19.51/5.06 |
% 19.51/5.06 |-The branch is then unsatisfiable
% 19.51/5.06 |-Branch two:
% 19.51/5.06 | (886) all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)
% 19.51/5.06 |
% 19.51/5.06 | Applying alpha-rule on (886) yields:
% 19.51/5.06 | (887) all_0_13_13 = e3
% 19.51/5.06 | (888) ~ (all_0_12_12 = e1)
% 19.51/5.06 | (889) ~ (all_0_45_45 = all_0_52_52)
% 19.51/5.06 |
% 19.51/5.06 | Combining equations (887,819) yields a new equation:
% 19.51/5.06 | (414) e3 = e0
% 19.51/5.06 |
% 19.51/5.06 | Simplifying 414 yields:
% 19.51/5.06 | (415) e3 = e0
% 19.51/5.06 |
% 19.51/5.06 | Equations (415) can reduce 81 to:
% 19.51/5.06 | (301) $false
% 19.51/5.06 |
% 19.51/5.06 |-The branch is then unsatisfiable
% 19.51/5.06 |-Branch two:
% 19.51/5.06 | (893) all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)
% 19.51/5.06 |
% 19.51/5.06 | Applying alpha-rule on (893) yields:
% 19.51/5.06 | (894) all_0_15_15 = e3
% 19.51/5.06 | (895) ~ (all_0_14_14 = e0)
% 19.51/5.06 | (896) ~ (all_0_46_46 = all_0_55_55)
% 19.51/5.06 |
% 19.51/5.06 | Equations (1056,503) can reduce 896 to:
% 19.51/5.06 | (301) $false
% 19.51/5.06 |
% 19.51/5.06 |-The branch is then unsatisfiable
% 19.51/5.06 |-Branch two:
% 19.51/5.06 | (900) all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)
% 19.51/5.06 |
% 19.51/5.06 | Applying alpha-rule on (900) yields:
% 19.51/5.06 | (901) all_0_17_17 = e2
% 19.51/5.06 | (902) ~ (all_0_16_16 = e3)
% 19.51/5.06 | (883) ~ (all_0_44_44 = all_0_47_47)
% 19.51/5.06 |
% 19.51/5.06 | Combining equations (901,2256) yields a new equation:
% 19.51/5.06 | (573) e3 = e2
% 19.51/5.06 |
% 19.51/5.06 | Equations (573) can reduce 231 to:
% 19.51/5.06 | (301) $false
% 19.51/5.06 |
% 19.51/5.06 |-The branch is then unsatisfiable
% 19.51/5.06 |-Branch two:
% 19.51/5.06 | (906) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)
% 19.51/5.06 |
% 19.51/5.06 | Applying alpha-rule on (906) yields:
% 19.51/5.06 | (907) all_0_20_20 = e2
% 19.51/5.06 | (908) ~ (all_0_19_19 = e1)
% 19.51/5.06 | (909) ~ (all_0_49_49 = all_0_53_53)
% 19.51/5.06 |
% 19.51/5.06 | Equations (491,409) can reduce 909 to:
% 19.51/5.06 | (301) $false
% 19.51/5.06 |
% 19.51/5.06 |-The branch is then unsatisfiable
% 19.51/5.06 |-Branch two:
% 19.51/5.06 | (912) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)
% 19.51/5.06 |
% 19.51/5.06 | Applying alpha-rule on (912) yields:
% 19.51/5.06 | (913) all_0_22_22 = e2
% 19.51/5.06 | (914) ~ (all_0_21_21 = e0)
% 19.51/5.06 | (915) ~ (all_0_50_50 = all_0_56_56)
% 19.51/5.06 |
% 19.51/5.06 | Equations (356,538) can reduce 915 to:
% 19.51/5.06 | (301) $false
% 19.51/5.06 |
% 19.51/5.06 |-The branch is then unsatisfiable
% 19.51/5.06 |-Branch two:
% 19.51/5.06 | (918) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)
% 19.51/5.06 |
% 19.51/5.06 | Applying alpha-rule on (918) yields:
% 19.51/5.06 | (919) all_0_24_24 = e1
% 19.51/5.06 | (920) ~ (all_0_23_23 = e4)
% 19.51/5.06 | (864) ~ (all_0_40_40 = all_0_51_51)
% 19.51/5.06 |
% 19.51/5.06 | Combining equations (919,290) yields a new equation:
% 19.51/5.06 | (708) e3 = e1
% 19.51/5.06 |
% 19.51/5.06 | Equations (708) can reduce 234 to:
% 19.51/5.06 | (301) $false
% 19.51/5.06 |
% 19.51/5.06 |-The branch is then unsatisfiable
% 19.51/5.06 |-Branch two:
% 19.51/5.06 | (924) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)
% 19.51/5.06 |
% 19.51/5.06 | Applying alpha-rule on (924) yields:
% 19.51/5.06 | (925) all_0_26_26 = e1
% 19.51/5.06 | (926) ~ (all_0_25_25 = e3)
% 19.51/5.06 | (889) ~ (all_0_45_45 = all_0_52_52)
% 19.51/5.06 |
% 19.51/5.06 | Combining equations (925,826) yields a new equation:
% 19.51/5.06 | (928) e2 = e1
% 19.51/5.06 |
% 19.51/5.06 | Equations (928) can reduce 122 to:
% 19.51/5.06 | (301) $false
% 19.51/5.06 |
% 19.51/5.06 |-The branch is then unsatisfiable
% 19.51/5.06 |-Branch two:
% 19.51/5.06 | (930) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)
% 19.51/5.06 |
% 19.51/5.06 | Applying alpha-rule on (930) yields:
% 19.51/5.06 | (931) all_0_28_28 = e1
% 19.51/5.06 | (932) ~ (all_0_27_27 = e2)
% 19.51/5.06 | (909) ~ (all_0_49_49 = all_0_53_53)
% 19.51/5.06 |
% 19.51/5.06 | Equations (491,409) can reduce 909 to:
% 19.51/5.06 | (301) $false
% 19.51/5.06 |
% 19.51/5.06 |-The branch is then unsatisfiable
% 19.51/5.06 |-Branch two:
% 19.51/5.06 | (937) all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)
% 19.51/5.06 |
% 19.51/5.06 | Applying alpha-rule on (937) yields:
% 19.51/5.06 | (938) all_0_30_30 = e0
% 19.51/5.06 | (939) ~ (all_0_29_29 = e4)
% 19.51/5.06 | (871) ~ (all_0_41_41 = all_0_54_54)
% 19.51/5.06 |
% 19.51/5.06 | Combining equations (816,938) yields a new equation:
% 19.51/5.06 | (352) e2 = e0
% 19.51/5.06 |
% 19.51/5.06 | Simplifying 352 yields:
% 19.51/5.06 | (345) e2 = e0
% 19.51/5.06 |
% 19.51/5.06 | Equations (345) can reduce 133 to:
% 19.51/5.06 | (301) $false
% 19.51/5.06 |
% 19.51/5.06 |-The branch is then unsatisfiable
% 19.51/5.06 |-Branch two:
% 19.51/5.06 | (944) all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)
% 19.51/5.06 |
% 19.51/5.06 | Applying alpha-rule on (944) yields:
% 19.51/5.06 | (945) all_0_32_32 = e0
% 19.51/5.06 | (946) ~ (all_0_31_31 = e3)
% 19.51/5.06 | (896) ~ (all_0_46_46 = all_0_55_55)
% 19.51/5.06 |
% 19.51/5.06 | Equations (1056,503) can reduce 896 to:
% 19.51/5.06 | (301) $false
% 19.51/5.06 |
% 19.51/5.06 |-The branch is then unsatisfiable
% 19.51/5.06 |-Branch two:
% 19.51/5.06 | (949) all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)
% 19.51/5.06 |
% 19.51/5.06 | Applying alpha-rule on (949) yields:
% 19.51/5.06 | (950) all_0_34_34 = e0
% 19.51/5.06 | (951) ~ (all_0_33_33 = e2)
% 19.51/5.06 | (915) ~ (all_0_50_50 = all_0_56_56)
% 19.51/5.06 |
% 19.51/5.06 | Equations (356,538) can reduce 915 to:
% 19.51/5.06 | (301) $false
% 19.51/5.06 |
% 19.51/5.06 |-The branch is then unsatisfiable
% 19.51/5.06 |-Branch two:
% 19.51/5.06 | (956) all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)
% 19.51/5.06 |
% 19.51/5.06 | Applying alpha-rule on (956) yields:
% 19.51/5.06 | (957) all_0_36_36 = e0
% 19.51/5.06 | (958) ~ (all_0_35_35 = e1)
% 19.51/5.06 | (726) ~ (all_0_57_57 = e1)
% 19.51/5.06 |
% 19.51/5.06 | Combining equations (2257,957) yields a new equation:
% 19.51/5.06 | (934) e1 = e0
% 19.51/5.06 |
% 19.51/5.06 | Simplifying 934 yields:
% 19.51/5.06 | (935) e1 = e0
% 19.51/5.06 |
% 19.51/5.06 | Equations (935) can reduce 247 to:
% 19.51/5.06 | (301) $false
% 19.51/5.06 |
% 19.51/5.06 |-The branch is then unsatisfiable
% 19.51/5.06 |-Branch two:
% 19.51/5.06 | (963) all_0_42_42 = e2 & ~ (all_0_44_44 = e4)
% 19.51/5.06 |
% 19.51/5.06 | Applying alpha-rule on (963) yields:
% 19.51/5.06 | (737) all_0_42_42 = e2
% 19.51/5.06 | (407) ~ (all_0_44_44 = e4)
% 19.51/5.06 |
% 19.51/5.06 | Combining equations (976,737) yields a new equation:
% 19.51/5.06 | (345) e2 = e0
% 19.51/5.06 |
% 19.51/5.06 | Equations (345) can reduce 133 to:
% 19.51/5.06 | (301) $false
% 19.51/5.06 |
% 19.51/5.06 |-The branch is then unsatisfiable
% 19.51/5.07 |-Branch two:
% 19.51/5.07 | (969) all_0_53_53 = e4 & ~ (all_0_51_51 = e2)
% 19.51/5.07 |
% 19.51/5.07 | Applying alpha-rule on (969) yields:
% 19.51/5.07 | (409) all_0_53_53 = e4
% 19.51/5.07 | (971) ~ (all_0_51_51 = e2)
% 19.51/5.07 |
% 19.51/5.07 | Equations (276) can reduce 971 to:
% 19.51/5.07 | (301) $false
% 19.51/5.07 |
% 19.51/5.07 |-The branch is then unsatisfiable
% 19.51/5.07 |-Branch two:
% 19.51/5.07 | (464) ~ (all_0_49_49 = e4)
% 19.51/5.07 | (469) all_0_57_57 = e4
% 19.51/5.07 |
% 19.51/5.07 | Combining equations (469,473) yields a new equation:
% 19.51/5.07 | (508) e4 = e3
% 19.51/5.07 |
% 19.51/5.07 | Simplifying 508 yields:
% 19.51/5.07 | (420) e4 = e3
% 19.51/5.07 |
% 19.51/5.07 | Equations (420) can reduce 199 to:
% 19.51/5.07 | (301) $false
% 19.51/5.07 |
% 19.51/5.07 |-The branch is then unsatisfiable
% 19.51/5.07 |-Branch two:
% 19.51/5.07 | (486) ~ (all_0_47_47 = e1)
% 19.51/5.07 | (487) all_0_49_49 = e1
% 19.51/5.07 |
% 19.51/5.07 | Equations (487) can reduce 478 to:
% 19.51/5.07 | (301) $false
% 19.51/5.07 |
% 19.51/5.07 |-The branch is then unsatisfiable
% 19.51/5.07 |-Branch two:
% 19.51/5.07 | (322) ~ (all_0_39_39 = e0)
% 19.51/5.07 | (326) all_0_41_41 = e0
% 19.51/5.07 |
% 19.51/5.07 | Combining equations (564,326) yields a new equation:
% 19.51/5.07 | (414) e3 = e0
% 19.51/5.07 |
% 19.51/5.07 | Simplifying 414 yields:
% 19.51/5.07 | (415) e3 = e0
% 19.51/5.07 |
% 19.51/5.07 | Equations (415) can reduce 81 to:
% 19.51/5.07 | (301) $false
% 19.51/5.07 |
% 19.51/5.07 |-The branch is then unsatisfiable
% 19.51/5.07 |-Branch two:
% 19.51/5.07 | (1083) ~ (all_0_46_46 = e4)
% 19.51/5.07 | (2395) all_0_46_46 = e3 | all_0_46_46 = e0
% 19.51/5.07 |
% 19.51/5.07 +-Applying beta-rule and splitting (2395), into two cases.
% 19.51/5.07 |-Branch one:
% 19.51/5.07 | (1651) all_0_46_46 = e0
% 19.51/5.07 |
% 19.51/5.07 | Equations (1651) can reduce 625 to:
% 19.51/5.07 | (301) $false
% 19.51/5.07 |
% 19.51/5.07 |-The branch is then unsatisfiable
% 19.51/5.07 |-Branch two:
% 19.51/5.07 | (625) ~ (all_0_46_46 = e0)
% 19.51/5.07 | (570) all_0_46_46 = e3
% 19.51/5.07 |
% 19.51/5.07 | Equations (570) can reduce 583 to:
% 19.51/5.07 | (301) $false
% 19.51/5.07 |
% 19.51/5.07 |-The branch is then unsatisfiable
% 19.51/5.07 |-Branch two:
% 19.51/5.07 | (680) ~ (all_0_42_42 = e0)
% 19.51/5.07 | (369) all_0_54_54 = e0
% 19.51/5.07 |
% 19.51/5.07 | Equations (369) can reduce 682 to:
% 19.51/5.07 | (301) $false
% 19.51/5.07 |
% 19.51/5.07 |-The branch is then unsatisfiable
% 19.51/5.07 |-Branch two:
% 19.51/5.07 | (540) ~ (all_0_38_38 = e4)
% 19.51/5.07 | (315) all_0_38_38 = e0
% 19.51/5.07 |
% 19.51/5.07 | Equations (315) can reduce 319 to:
% 19.51/5.07 | (301) $false
% 19.51/5.07 |
% 19.51/5.07 |-The branch is then unsatisfiable
% 19.51/5.07 |-Branch two:
% 19.51/5.07 | (315) all_0_38_38 = e0
% 19.51/5.07 | (545) all_0_41_41 = e4
% 19.51/5.07 |
% 19.51/5.07 | Combining equations (564,545) yields a new equation:
% 19.51/5.07 | (420) e4 = e3
% 19.51/5.07 |
% 19.51/5.07 | Equations (420) can reduce 199 to:
% 19.51/5.07 | (301) $false
% 19.51/5.07 |
% 19.51/5.07 |-The branch is then unsatisfiable
% 19.51/5.07 |-Branch two:
% 19.51/5.07 | (568) ~ (all_0_41_41 = e3)
% 19.51/5.07 | (569) all_0_46_46 = e3 | all_0_58_58 = e3
% 19.51/5.07 |
% 19.51/5.07 +-Applying beta-rule and splitting (569), into two cases.
% 19.51/5.07 |-Branch one:
% 19.51/5.07 | (570) all_0_46_46 = e3
% 19.51/5.07 |
% 19.51/5.07 | Equations (570) can reduce 583 to:
% 19.51/5.07 | (301) $false
% 19.51/5.07 |
% 19.51/5.07 |-The branch is then unsatisfiable
% 19.51/5.07 |-Branch two:
% 19.51/5.07 | (583) ~ (all_0_46_46 = e3)
% 19.51/5.07 | (366) all_0_58_58 = e3
% 19.51/5.07 |
% 19.51/5.07 | Combining equations (366,300) yields a new equation:
% 19.51/5.07 | (572) e3 = e2
% 19.51/5.07 |
% 19.51/5.07 | Simplifying 572 yields:
% 19.51/5.07 | (573) e3 = e2
% 19.51/5.07 |
% 19.51/5.07 | Equations (573) can reduce 231 to:
% 19.51/5.07 | (301) $false
% 19.51/5.07 |
% 19.51/5.07 |-The branch is then unsatisfiable
% 19.51/5.07 |-Branch two:
% 19.51/5.07 | (506) ~ (all_0_52_52 = e3)
% 19.51/5.07 | (419) all_0_53_53 = e3
% 19.51/5.07 |
% 19.51/5.07 | Combining equations (419,409) yields a new equation:
% 19.51/5.07 | (420) e4 = e3
% 19.51/5.07 |
% 19.51/5.07 | Equations (420) can reduce 199 to:
% 19.51/5.07 | (301) $false
% 19.51/5.07 |
% 19.51/5.07 |-The branch is then unsatisfiable
% 19.51/5.07 |-Branch two:
% 19.51/5.07 | (522) ~ (all_0_53_53 = e4)
% 19.51/5.07 | (523) all_0_56_56 = e4
% 19.51/5.07 |
% 19.51/5.07 | Combining equations (523,538) yields a new equation:
% 19.51/5.07 | (316) e4 = e0
% 19.51/5.07 |
% 19.51/5.07 | Simplifying 316 yields:
% 19.51/5.07 | (317) e4 = e0
% 19.51/5.07 |
% 19.51/5.07 | Equations (317) can reduce 43 to:
% 19.51/5.07 | (301) $false
% 19.51/5.07 |
% 19.51/5.07 |-The branch is then unsatisfiable
% 19.51/5.07 |-Branch two:
% 19.51/5.07 | (729) ~ (all_0_40_40 = e2)
% 19.51/5.07 | (552) all_0_41_41 = e2
% 19.51/5.07 |
% 19.51/5.07 | Equations (552) can reduce 556 to:
% 19.51/5.07 | (301) $false
% 19.51/5.07 |
% 19.51/5.07 |-The branch is then unsatisfiable
% 19.51/5.07 |-Branch two:
% 19.51/5.07 | (971) ~ (all_0_51_51 = e2)
% 19.51/5.07 | (654) all_0_51_51 = e4
% 19.51/5.07 |
% 19.51/5.07 | Equations (654) can reduce 232 to:
% 19.51/5.07 | (540) ~ (all_0_38_38 = e4)
% 19.51/5.07 |
% 19.51/5.07 | Equations (654) can reduce 216 to:
% 19.51/5.07 | (2435) ~ (all_0_53_53 = e4)
% 19.51/5.07 |
% 19.51/5.07 | Simplifying 2435 yields:
% 19.51/5.07 | (522) ~ (all_0_53_53 = e4)
% 19.51/5.07 |
% 19.51/5.07 | Equations (654) can reduce 207 to:
% 19.51/5.07 | (2094) ~ (all_0_54_54 = e4)
% 19.51/5.07 |
% 19.51/5.07 | Simplifying 2094 yields:
% 19.51/5.07 | (643) ~ (all_0_54_54 = e4)
% 19.51/5.07 |
% 19.51/5.07 | Equations (654) can reduce 158 to:
% 19.51/5.07 | (199) ~ (e4 = e3)
% 19.51/5.07 |
% 19.51/5.07 | Equations (654) can reduce 971 to:
% 19.51/5.07 | (42) ~ (e4 = e2)
% 19.51/5.07 |
% 19.51/5.07 | From (654) and (65) follows:
% 19.51/5.07 | (2441) op(e1, e4) = e4
% 19.51/5.07 |
% 19.51/5.07 +-Applying beta-rule and splitting (145), into two cases.
% 19.51/5.07 |-Branch one:
% 19.51/5.07 | (737) all_0_42_42 = e2
% 19.51/5.07 |
% 19.51/5.07 | Equations (737) can reduce 208 to:
% 19.51/5.07 | (2443) ~ (all_0_45_45 = e2)
% 19.51/5.07 |
% 19.51/5.07 | Simplifying 2443 yields:
% 19.51/5.07 | (730) ~ (all_0_45_45 = e2)
% 19.51/5.07 |
% 19.51/5.07 | Equations (737) can reduce 14 to:
% 19.51/5.07 | (1266) ~ (all_0_46_46 = e2)
% 19.51/5.07 |
% 19.51/5.07 | Simplifying 1266 yields:
% 19.51/5.07 | (575) ~ (all_0_46_46 = e2)
% 19.51/5.07 |
% 19.51/5.07 | Equations (737) can reduce 181 to:
% 19.51/5.07 | (282) ~ (all_0_54_54 = e2)
% 19.51/5.07 |
% 19.51/5.07 | Simplifying 282 yields:
% 19.51/5.07 | (283) ~ (all_0_54_54 = e2)
% 19.51/5.07 |
% 19.51/5.07 | Equations (737) can reduce 68 to:
% 19.51/5.07 | (284) ~ (e3 = e2)
% 19.51/5.07 |
% 19.51/5.07 | Simplifying 284 yields:
% 19.51/5.07 | (231) ~ (e3 = e2)
% 19.51/5.07 |
% 19.51/5.07 | From (737) and (159) follows:
% 19.51/5.07 | (2451) op(e2, e4) = all_0_8_8
% 19.51/5.07 |
% 19.51/5.07 +-Applying beta-rule and splitting (76), into two cases.
% 19.51/5.07 |-Branch one:
% 19.51/5.07 | (294) all_0_38_38 = e4
% 19.51/5.07 |
% 19.51/5.07 | Equations (294) can reduce 540 to:
% 19.51/5.07 | (301) $false
% 19.51/5.07 |
% 19.51/5.07 |-The branch is then unsatisfiable
% 19.51/5.07 |-Branch two:
% 19.51/5.07 | (540) ~ (all_0_38_38 = e4)
% 19.51/5.07 | (315) all_0_38_38 = e0
% 19.51/5.07 |
% 19.51/5.07 | Equations (315) can reduce 187 to:
% 19.51/5.07 | (677) ~ (all_0_40_40 = e0)
% 19.51/5.07 |
% 19.51/5.07 | Simplifying 677 yields:
% 19.51/5.07 | (171) ~ (all_0_40_40 = e0)
% 19.51/5.07 |
% 19.51/5.07 | Equations (315) can reduce 110 to:
% 19.51/5.07 | (1572) ~ (all_0_41_41 = e0)
% 19.51/5.07 |
% 19.51/5.07 | Simplifying 1572 yields:
% 19.51/5.07 | (309) ~ (all_0_41_41 = e0)
% 19.51/5.07 |
% 19.51/5.07 | Equations (315) can reduce 88 to:
% 19.51/5.07 | (681) ~ (all_0_54_54 = e0)
% 19.51/5.07 |
% 19.51/5.07 | Simplifying 681 yields:
% 19.51/5.07 | (682) ~ (all_0_54_54 = e0)
% 19.51/5.07 |
% 19.51/5.07 +-Applying beta-rule and splitting (57), into two cases.
% 19.51/5.07 |-Branch one:
% 19.51/5.07 | (600) all_0_54_54 = e2
% 19.51/5.07 |
% 19.51/5.07 | Equations (600) can reduce 283 to:
% 19.51/5.07 | (301) $false
% 19.51/5.07 |
% 19.51/5.07 |-The branch is then unsatisfiable
% 19.51/5.07 |-Branch two:
% 19.51/5.07 | (283) ~ (all_0_54_54 = e2)
% 19.51/5.07 | (653) all_0_54_54 = e4 | all_0_54_54 = e1 | all_0_54_54 = e0
% 19.51/5.07 |
% 19.51/5.07 +-Applying beta-rule and splitting (653), into two cases.
% 19.51/5.07 |-Branch one:
% 19.51/5.07 | (717) all_0_54_54 = e4
% 19.51/5.07 |
% 19.51/5.07 | Equations (717) can reduce 643 to:
% 19.51/5.07 | (301) $false
% 19.51/5.07 |
% 19.51/5.07 |-The branch is then unsatisfiable
% 19.51/5.07 |-Branch two:
% 19.51/5.07 | (643) ~ (all_0_54_54 = e4)
% 19.51/5.07 | (720) all_0_54_54 = e1 | all_0_54_54 = e0
% 19.51/5.07 |
% 19.51/5.07 +-Applying beta-rule and splitting (720), into two cases.
% 19.51/5.07 |-Branch one:
% 19.51/5.07 | (369) all_0_54_54 = e0
% 19.51/5.07 |
% 19.51/5.07 | Equations (369) can reduce 682 to:
% 19.51/5.07 | (301) $false
% 19.51/5.07 |
% 19.51/5.07 |-The branch is then unsatisfiable
% 19.51/5.07 |-Branch two:
% 19.51/5.07 | (682) ~ (all_0_54_54 = e0)
% 19.51/5.07 | (724) all_0_54_54 = e1
% 19.51/5.07 |
% 19.51/5.07 | Equations (724) can reduce 144 to:
% 19.51/5.07 | (2474) ~ (all_0_55_55 = e1)
% 19.51/5.07 |
% 19.51/5.07 | Simplifying 2474 yields:
% 19.51/5.07 | (1696) ~ (all_0_55_55 = e1)
% 19.51/5.07 |
% 19.51/5.07 | From (724) and (52) follows:
% 19.51/5.07 | (727) op(e1, e4) = all_0_30_30
% 19.51/5.07 |
% 19.51/5.07 +-Applying beta-rule and splitting (170), into two cases.
% 19.51/5.07 |-Branch one:
% 19.51/5.07 | (319) ~ (all_0_38_38 = e0)
% 19.51/5.07 |
% 19.51/5.07 | Equations (315) can reduce 319 to:
% 19.51/5.07 | (301) $false
% 19.51/5.07 |
% 19.51/5.07 |-The branch is then unsatisfiable
% 19.51/5.07 |-Branch two:
% 19.51/5.07 | (315) all_0_38_38 = e0
% 19.51/5.07 | (545) all_0_41_41 = e4
% 19.51/5.07 |
% 19.51/5.07 | Equations (545) can reduce 11 to:
% 19.51/5.07 | (296) ~ (all_0_39_39 = e4)
% 19.51/5.07 |
% 19.51/5.07 | Equations (545) can reduce 556 to:
% 19.51/5.07 | (42) ~ (e4 = e2)
% 19.51/5.07 |
% 19.51/5.07 | Equations (545) can reduce 309 to:
% 19.51/5.07 | (43) ~ (e4 = e0)
% 19.51/5.07 |
% 19.51/5.07 | From (545) and (37) follows:
% 19.51/5.07 | (2484) op(e4, e0) = all_0_6_6
% 19.51/5.07 |
% 19.51/5.07 | From (545) and (137) follows:
% 19.51/5.07 | (2485) op(e4, e0) = e4
% 19.51/5.07 |
% 19.51/5.07 +-Applying beta-rule and splitting (214), into two cases.
% 19.51/5.07 |-Branch one:
% 19.51/5.07 | (564) all_0_41_41 = e3
% 19.51/5.07 |
% 19.51/5.07 | Combining equations (564,545) yields a new equation:
% 19.51/5.07 | (420) e4 = e3
% 19.51/5.07 |
% 19.51/5.07 | Equations (420) can reduce 199 to:
% 19.51/5.07 | (301) $false
% 19.51/5.07 |
% 19.51/5.07 |-The branch is then unsatisfiable
% 19.51/5.07 |-Branch two:
% 19.51/5.07 | (568) ~ (all_0_41_41 = e3)
% 19.51/5.07 | (569) all_0_46_46 = e3 | all_0_58_58 = e3
% 19.51/5.07 |
% 19.51/5.07 +-Applying beta-rule and splitting (92), into two cases.
% 19.51/5.07 |-Branch one:
% 19.51/5.07 | (276) all_0_51_51 = e2
% 19.51/5.07 |
% 19.51/5.07 | Combining equations (654,276) yields a new equation:
% 19.51/5.07 | (553) e4 = e2
% 19.51/5.07 |
% 19.51/5.07 | Simplifying 553 yields:
% 19.51/5.07 | (504) e4 = e2
% 19.51/5.07 |
% 19.51/5.07 | Equations (504) can reduce 42 to:
% 19.51/5.07 | (301) $false
% 19.51/5.07 |
% 19.51/5.07 |-The branch is then unsatisfiable
% 19.51/5.07 |-Branch two:
% 19.51/5.07 | (971) ~ (all_0_51_51 = e2)
% 19.51/5.07 | (1191) all_0_52_52 = e2 | all_0_53_53 = e2
% 19.51/5.07 |
% 19.51/5.07 +-Applying beta-rule and splitting (569), into two cases.
% 19.51/5.07 |-Branch one:
% 19.51/5.07 | (570) all_0_46_46 = e3
% 19.51/5.07 |
% 19.51/5.07 | Equations (570) can reduce 34 to:
% 19.51/5.07 | (770) ~ (all_0_45_45 = e3)
% 19.51/5.07 |
% 19.51/5.07 | Equations (570) can reduce 575 to:
% 19.51/5.07 | (231) ~ (e3 = e2)
% 19.51/5.07 |
% 19.51/5.07 +-Applying beta-rule and splitting (1191), into two cases.
% 19.51/5.07 |-Branch one:
% 19.51/5.07 | (447) all_0_52_52 = e2
% 19.51/5.07 |
% 19.51/5.07 | Equations (447) can reduce 60 to:
% 19.51/5.07 | (267) ~ (all_0_53_53 = e2)
% 19.51/5.07 |
% 19.51/5.07 | Simplifying 267 yields:
% 19.51/5.07 | (268) ~ (all_0_53_53 = e2)
% 19.51/5.07 |
% 19.51/5.07 | Equations (447) can reduce 235 to:
% 19.51/5.07 | (1270) ~ (all_0_55_55 = e2)
% 19.51/5.07 |
% 19.51/5.07 | Simplifying 1270 yields:
% 19.51/5.07 | (1140) ~ (all_0_55_55 = e2)
% 19.51/5.07 |
% 19.51/5.07 | Equations (447) can reduce 12 to:
% 19.51/5.07 | (133) ~ (e2 = e0)
% 19.51/5.07 |
% 19.51/5.07 | From (447) and (236) follows:
% 19.51/5.07 | (2506) op(e2, e1) = all_0_25_25
% 19.51/5.07 |
% 19.51/5.07 | From (447) and (107) follows:
% 19.51/5.07 | (2507) op(e1, e3) = e2
% 19.51/5.07 |
% 19.51/5.07 +-Applying beta-rule and splitting (136), into two cases.
% 19.51/5.07 |-Branch one:
% 19.51/5.07 | (710) ~ (all_0_43_43 = e1)
% 19.51/5.07 |
% 19.51/5.07 +-Applying beta-rule and splitting (201), into two cases.
% 19.51/5.07 |-Branch one:
% 19.51/5.07 | (455) all_0_52_52 = e3
% 19.51/5.07 |
% 19.51/5.07 | Combining equations (447,455) yields a new equation:
% 19.51/5.07 | (573) e3 = e2
% 19.51/5.07 |
% 19.51/5.07 | Equations (573) can reduce 231 to:
% 19.51/5.07 | (301) $false
% 19.51/5.07 |
% 19.51/5.07 |-The branch is then unsatisfiable
% 19.51/5.07 |-Branch two:
% 19.51/5.07 | (506) ~ (all_0_52_52 = e3)
% 19.51/5.07 | (419) all_0_53_53 = e3
% 19.51/5.07 |
% 19.51/5.07 | Equations (419) can reduce 522 to:
% 19.51/5.07 | (426) ~ (e4 = e3)
% 19.51/5.07 |
% 19.51/5.07 | Simplifying 426 yields:
% 19.51/5.07 | (199) ~ (e4 = e3)
% 19.51/5.07 |
% 19.51/5.07 | Equations (419) can reduce 268 to:
% 19.51/5.07 | (231) ~ (e3 = e2)
% 19.51/5.08 |
% 19.51/5.08 | Equations (419) can reduce 22 to:
% 19.51/5.08 | (81) ~ (e3 = e0)
% 19.51/5.08 |
% 19.51/5.08 | From (419) and (118) follows:
% 19.51/5.08 | (675) op(e3, e2) = all_0_28_28
% 19.51/5.08 |
% 19.51/5.08 | From (419) and (90) follows:
% 19.51/5.08 | (1672) op(e3, e1) = all_0_27_27
% 19.51/5.08 |
% 19.51/5.08 +-Applying beta-rule and splitting (220), into two cases.
% 19.51/5.08 |-Branch one:
% 19.51/5.08 | (706) all_0_43_43 = e1
% 19.51/5.08 |
% 19.51/5.08 | Equations (706) can reduce 710 to:
% 19.51/5.08 | (301) $false
% 19.51/5.08 |
% 19.51/5.08 |-The branch is then unsatisfiable
% 19.51/5.08 |-Branch two:
% 19.51/5.08 | (710) ~ (all_0_43_43 = e1)
% 19.51/5.08 | (711) all_0_47_47 = e1 | all_0_55_55 = e1
% 19.51/5.08 |
% 19.51/5.08 +-Applying beta-rule and splitting (711), into two cases.
% 19.51/5.08 |-Branch one:
% 19.51/5.08 | (483) all_0_47_47 = e1
% 19.51/5.08 |
% 19.51/5.08 | Equations (483) can reduce 157 to:
% 19.51/5.08 | (67) ~ (all_0_39_39 = e1)
% 19.51/5.08 |
% 19.51/5.08 | Equations (483) can reduce 93 to:
% 19.51/5.08 | (713) ~ (all_0_49_49 = e1)
% 19.51/5.08 |
% 19.51/5.08 | Simplifying 713 yields:
% 19.51/5.08 | (478) ~ (all_0_49_49 = e1)
% 19.51/5.08 |
% 19.51/5.08 | Equations (483) can reduce 242 to:
% 19.51/5.08 | (1640) ~ (all_0_50_50 = e1)
% 19.51/5.08 |
% 19.51/5.08 | Simplifying 1640 yields:
% 19.51/5.08 | (33) ~ (all_0_50_50 = e1)
% 19.51/5.08 |
% 19.51/5.08 | From (483) and (142) follows:
% 19.51/5.08 | (715) op(e1, e3) = all_0_17_17
% 19.51/5.08 |
% 19.51/5.08 +-Applying beta-rule and splitting (219), into two cases.
% 19.51/5.08 |-Branch one:
% 19.51/5.08 | (764) all_0_49_49 = e2
% 19.51/5.08 |
% 19.51/5.08 | Equations (764) can reduce 264 to:
% 19.51/5.08 | (301) $false
% 19.51/5.08 |
% 19.51/5.08 |-The branch is then unsatisfiable
% 19.51/5.08 |-Branch two:
% 19.51/5.08 | (264) ~ (all_0_49_49 = e2)
% 19.51/5.08 | (767) all_0_49_49 = e4 | all_0_49_49 = e1
% 19.51/5.08 |
% 19.51/5.08 +-Applying beta-rule and splitting (83), into two cases.
% 19.51/5.08 |-Branch one:
% 19.51/5.08 | (428) all_0_39_39 = e4
% 19.51/5.08 |
% 19.51/5.08 | Equations (428) can reduce 296 to:
% 19.51/5.08 | (301) $false
% 19.51/5.08 |
% 19.51/5.08 |-The branch is then unsatisfiable
% 19.51/5.08 |-Branch two:
% 19.51/5.08 | (296) ~ (all_0_39_39 = e4)
% 19.51/5.08 | (431) all_0_47_47 = e4 | all_0_52_52 = e4 | all_0_55_55 = e4
% 19.51/5.08 |
% 19.51/5.08 +-Applying beta-rule and splitting (21), into two cases.
% 19.51/5.08 |-Branch one:
% 19.51/5.08 | (403) all_0_44_44 = e4
% 19.51/5.08 |
% 19.51/5.08 | Equations (403) can reduce 38 to:
% 19.51/5.08 | (2540) ~ (all_0_45_45 = e4)
% 19.51/5.08 |
% 19.51/5.08 | Simplifying 2540 yields:
% 19.51/5.08 | (489) ~ (all_0_45_45 = e4)
% 19.51/5.08 |
% 19.51/5.08 | From (403) and (165) follows:
% 19.51/5.08 | (1684) op(e3, e2) = e4
% 19.51/5.08 |
% 19.51/5.08 +-Applying beta-rule and splitting (30), into two cases.
% 19.51/5.08 |-Branch one:
% 19.51/5.08 | (976) all_0_42_42 = e0
% 19.51/5.08 |
% 19.51/5.08 | Combining equations (737,976) yields a new equation:
% 19.51/5.08 | (352) e2 = e0
% 19.51/5.08 |
% 19.51/5.08 | Simplifying 352 yields:
% 19.51/5.08 | (345) e2 = e0
% 19.51/5.08 |
% 19.51/5.08 | Equations (345) can reduce 133 to:
% 19.51/5.08 | (301) $false
% 19.51/5.08 |
% 19.51/5.08 |-The branch is then unsatisfiable
% 19.51/5.08 |-Branch two:
% 19.51/5.08 | (680) ~ (all_0_42_42 = e0)
% 19.51/5.08 | (1978) all_0_43_43 = e0 | all_0_44_44 = e0 | all_0_46_46 = e0
% 19.51/5.08 |
% 19.51/5.08 +-Applying beta-rule and splitting (160), into two cases.
% 19.51/5.08 |-Branch one:
% 19.51/5.08 | (752) all_0_45_45 = e2
% 19.51/5.08 |
% 19.51/5.08 | Equations (752) can reduce 730 to:
% 19.51/5.08 | (301) $false
% 19.51/5.08 |
% 19.51/5.08 |-The branch is then unsatisfiable
% 19.51/5.08 |-Branch two:
% 19.51/5.08 | (730) ~ (all_0_45_45 = e2)
% 19.51/5.08 | (2552) all_0_45_45 = e4 | all_0_45_45 = e3 | all_0_45_45 = e1
% 19.51/5.08 |
% 19.51/5.08 +-Applying beta-rule and splitting (2552), into two cases.
% 19.51/5.08 |-Branch one:
% 19.51/5.08 | (481) all_0_45_45 = e4
% 19.51/5.08 |
% 19.51/5.08 | Equations (481) can reduce 489 to:
% 19.51/5.08 | (301) $false
% 19.51/5.08 |
% 19.51/5.08 |-The branch is then unsatisfiable
% 19.51/5.08 |-Branch two:
% 19.51/5.08 | (489) ~ (all_0_45_45 = e4)
% 19.51/5.08 | (2556) all_0_45_45 = e3 | all_0_45_45 = e1
% 19.51/5.08 |
% 19.51/5.08 +-Applying beta-rule and splitting (767), into two cases.
% 19.51/5.08 |-Branch one:
% 19.51/5.08 | (491) all_0_49_49 = e4
% 19.51/5.08 |
% 19.51/5.08 | Equations (491) can reduce 264 to:
% 19.51/5.08 | (42) ~ (e4 = e2)
% 19.51/5.08 |
% 19.51/5.08 | Equations (491) can reduce 478 to:
% 19.51/5.08 | (114) ~ (e4 = e1)
% 19.51/5.08 |
% 19.51/5.08 | Equations (491) can reduce 241 to:
% 19.51/5.08 | (43) ~ (e4 = e0)
% 19.51/5.08 |
% 19.51/5.08 | From (491) and (193) follows:
% 19.51/5.08 | (779) op(e2, e1) = e4
% 19.51/5.08 |
% 19.51/5.08 +-Applying beta-rule and splitting (1978), into two cases.
% 19.51/5.08 |-Branch one:
% 19.51/5.08 | (513) all_0_43_43 = e0
% 19.51/5.08 |
% 19.51/5.08 | Equations (513) can reduce 72 to:
% 19.51/5.08 | (622) ~ (all_0_45_45 = e0)
% 19.51/5.08 |
% 19.51/5.08 | Simplifying 622 yields:
% 19.51/5.08 | (163) ~ (all_0_45_45 = e0)
% 19.51/5.08 |
% 19.51/5.08 +-Applying beta-rule and splitting (431), into two cases.
% 19.51/5.08 |-Branch one:
% 19.51/5.08 | (462) all_0_47_47 = e4
% 19.51/5.08 |
% 19.51/5.08 | Combining equations (483,462) yields a new equation:
% 19.51/5.08 | (484) e4 = e1
% 19.51/5.08 |
% 19.51/5.08 | Equations (484) can reduce 114 to:
% 19.51/5.08 | (301) $false
% 19.51/5.08 |
% 19.51/5.08 |-The branch is then unsatisfiable
% 19.51/5.08 |-Branch two:
% 19.51/5.08 | (497) ~ (all_0_47_47 = e4)
% 19.51/5.08 | (498) all_0_52_52 = e4 | all_0_55_55 = e4
% 19.51/5.08 |
% 19.51/5.08 +-Applying beta-rule and splitting (2556), into two cases.
% 19.51/5.08 |-Branch one:
% 19.51/5.08 | (2016) all_0_45_45 = e3
% 19.51/5.08 |
% 19.51/5.08 | Equations (2016) can reduce 770 to:
% 19.51/5.08 | (301) $false
% 19.51/5.08 |
% 19.51/5.08 |-The branch is then unsatisfiable
% 19.51/5.08 |-Branch two:
% 19.51/5.08 | (770) ~ (all_0_45_45 = e3)
% 19.51/5.08 | (784) all_0_45_45 = e1
% 19.51/5.08 |
% 19.51/5.08 | Equations (784) can reduce 75 to:
% 19.51/5.08 | (725) ~ (all_0_57_57 = e1)
% 19.51/5.08 |
% 19.51/5.08 | Simplifying 725 yields:
% 19.51/5.08 | (726) ~ (all_0_57_57 = e1)
% 19.51/5.08 |
% 19.51/5.08 | Equations (784) can reduce 770 to:
% 19.51/5.08 | (786) ~ (e3 = e1)
% 19.51/5.08 |
% 19.51/5.08 | Simplifying 786 yields:
% 19.51/5.08 | (234) ~ (e3 = e1)
% 19.51/5.08 |
% 19.51/5.08 | Equations (784) can reduce 730 to:
% 19.51/5.08 | (788) ~ (e2 = e1)
% 19.51/5.08 |
% 19.51/5.08 | Simplifying 788 yields:
% 19.51/5.08 | (122) ~ (e2 = e1)
% 19.51/5.08 |
% 19.51/5.08 | Equations (784) can reduce 163 to:
% 19.51/5.08 | (247) ~ (e1 = e0)
% 19.51/5.08 |
% 19.51/5.08 | From (784) and (50) follows:
% 19.51/5.08 | (791) op(e1, e3) = all_0_12_12
% 19.51/5.08 |
% 19.51/5.08 | From (784) and (196) follows:
% 19.51/5.08 | (793) op(e3, e1) = e1
% 19.51/5.08 |
% 19.51/5.08 +-Applying beta-rule and splitting (498), into two cases.
% 19.51/5.08 |-Branch one:
% 19.51/5.08 | (499) all_0_52_52 = e4
% 19.51/5.08 |
% 19.51/5.08 | Combining equations (447,499) yields a new equation:
% 19.51/5.08 | (504) e4 = e2
% 19.51/5.08 |
% 19.51/5.08 | Equations (504) can reduce 42 to:
% 19.51/5.08 | (301) $false
% 19.51/5.08 |
% 19.51/5.08 |-The branch is then unsatisfiable
% 19.51/5.08 |-Branch two:
% 19.51/5.08 | (410) ~ (all_0_52_52 = e4)
% 19.51/5.08 | (503) all_0_55_55 = e4
% 19.51/5.08 |
% 19.51/5.08 | Equations (503) can reduce 20 to:
% 19.51/5.08 | (644) ~ (all_0_57_57 = e4)
% 19.51/5.08 |
% 19.51/5.08 | Simplifying 644 yields:
% 19.51/5.08 | (377) ~ (all_0_57_57 = e4)
% 19.51/5.08 |
% 19.51/5.08 | Equations (503) can reduce 1140 to:
% 19.51/5.08 | (42) ~ (e4 = e2)
% 19.51/5.08 |
% 19.51/5.08 | From (503) and (188) follows:
% 19.51/5.08 | (2591) op(e4, e0) = all_0_31_31
% 19.51/5.08 |
% 19.51/5.08 | From (503) and (41) follows:
% 19.51/5.08 | (2592) op(e0, e3) = e4
% 19.51/5.08 |
% 19.51/5.08 +-Applying beta-rule and splitting (169), into two cases.
% 19.51/5.08 |-Branch one:
% 19.51/5.08 | (1380) all_0_40_40 = e2
% 19.51/5.08 |
% 19.51/5.08 | Equations (1380) can reduce 31 to:
% 19.51/5.08 | (347) ~ (all_0_39_39 = e2)
% 19.51/5.08 |
% 19.51/5.08 | Equations (1380) can reduce 15 to:
% 19.51/5.08 | (451) ~ (all_0_57_57 = e2)
% 19.51/5.08 |
% 19.51/5.08 | Simplifying 451 yields:
% 19.51/5.08 | (452) ~ (all_0_57_57 = e2)
% 19.51/5.08 |
% 19.51/5.08 | Equations (1380) can reduce 171 to:
% 19.51/5.08 | (133) ~ (e2 = e0)
% 19.51/5.08 |
% 19.51/5.08 | From (1380) and (54) follows:
% 19.51/5.08 | (2598) op(e2, e4) = all_0_3_3
% 19.51/5.08 |
% 19.51/5.08 | From (1380) and (252) follows:
% 19.51/5.08 | (2599) op(e2, e1) = all_0_4_4
% 19.51/5.08 |
% 19.51/5.08 +-Applying beta-rule and splitting (228), into two cases.
% 19.51/5.08 |-Branch one:
% 19.51/5.08 | (321) all_0_47_47 = e0
% 19.51/5.08 |
% 19.51/5.08 | Combining equations (483,321) yields a new equation:
% 19.51/5.08 | (934) e1 = e0
% 19.51/5.08 |
% 19.51/5.08 | Simplifying 934 yields:
% 19.51/5.08 | (935) e1 = e0
% 19.51/5.08 |
% 19.51/5.08 | Equations (935) can reduce 247 to:
% 19.51/5.08 | (301) $false
% 19.51/5.08 |
% 19.51/5.08 |-The branch is then unsatisfiable
% 19.51/5.08 |-Branch two:
% 19.51/5.08 | (328) ~ (all_0_47_47 = e0)
% 19.51/5.08 | (329) all_0_48_48 = e0 | all_0_50_50 = e0
% 19.51/5.08 |
% 19.51/5.08 +-Applying beta-rule and splitting (123), into two cases.
% 19.51/5.08 |-Branch one:
% 19.51/5.08 | (694) all_0_39_39 = e3
% 19.51/5.08 |
% 19.51/5.08 | Equations (694) can reduce 347 to:
% 19.51/5.08 | (231) ~ (e3 = e2)
% 19.51/5.08 |
% 19.51/5.08 | Equations (694) can reduce 67 to:
% 19.51/5.08 | (234) ~ (e3 = e1)
% 19.51/5.08 |
% 19.51/5.08 +-Applying beta-rule and splitting (329), into two cases.
% 19.51/5.08 |-Branch one:
% 19.51/5.08 | (351) all_0_48_48 = e0
% 19.51/5.08 |
% 19.51/5.08 | Combining equations (260,351) yields a new equation:
% 19.51/5.08 | (352) e2 = e0
% 19.51/5.08 |
% 19.51/5.08 | Simplifying 352 yields:
% 19.51/5.08 | (345) e2 = e0
% 19.51/5.08 |
% 19.51/5.08 | Equations (345) can reduce 133 to:
% 19.51/5.08 | (301) $false
% 19.51/5.08 |
% 19.51/5.08 |-The branch is then unsatisfiable
% 19.51/5.08 |-Branch two:
% 19.51/5.08 | (259) ~ (all_0_48_48 = e0)
% 19.51/5.08 | (356) all_0_50_50 = e0
% 19.51/5.08 |
% 19.51/5.08 | Equations (356) can reduce 33 to:
% 19.51/5.08 | (685) ~ (e1 = e0)
% 19.51/5.08 |
% 19.51/5.08 | Simplifying 685 yields:
% 19.51/5.08 | (247) ~ (e1 = e0)
% 19.51/5.08 |
% 19.51/5.08 | From (356) and (152) follows:
% 19.51/5.08 | (619) op(e0, e0) = all_0_22_22
% 19.51/5.08 |
% 19.51/5.08 +-Applying beta-rule and splitting (140), into two cases.
% 19.51/5.08 |-Branch one:
% 19.51/5.08 | (768) all_0_40_40 = e3
% 19.51/5.08 |
% 19.51/5.08 | Combining equations (768,1380) yields a new equation:
% 19.51/5.08 | (572) e3 = e2
% 19.51/5.08 |
% 19.51/5.08 | Simplifying 572 yields:
% 19.51/5.08 | (573) e3 = e2
% 19.51/5.08 |
% 19.51/5.08 | Equations (573) can reduce 231 to:
% 19.51/5.08 | (301) $false
% 19.51/5.08 |
% 19.51/5.08 |-The branch is then unsatisfiable
% 19.51/5.08 |-Branch two:
% 19.51/5.08 | (994) ~ (all_0_40_40 = e3)
% 19.51/5.08 | (995) all_0_45_45 = e3 | all_0_57_57 = e3
% 19.51/5.08 |
% 19.51/5.08 +-Applying beta-rule and splitting (995), into two cases.
% 19.51/5.08 |-Branch one:
% 19.51/5.08 | (2016) all_0_45_45 = e3
% 19.51/5.08 |
% 19.51/5.08 | Combining equations (2016,784) yields a new equation:
% 19.51/5.08 | (707) e3 = e1
% 19.51/5.08 |
% 19.51/5.08 | Simplifying 707 yields:
% 19.51/5.08 | (708) e3 = e1
% 19.51/5.08 |
% 19.51/5.08 | Equations (708) can reduce 234 to:
% 19.51/5.08 | (301) $false
% 19.51/5.08 |
% 19.51/5.08 |-The branch is then unsatisfiable
% 19.51/5.08 |-Branch two:
% 19.51/5.08 | (770) ~ (all_0_45_45 = e3)
% 19.51/5.08 | (473) all_0_57_57 = e3
% 19.51/5.08 |
% 19.51/5.08 | Equations (473) can reduce 726 to:
% 19.51/5.08 | (234) ~ (e3 = e1)
% 19.51/5.08 |
% 19.51/5.08 | From (473) and (73) follows:
% 19.51/5.08 | (2161) op(e3, e1) = all_0_36_36
% 19.51/5.08 |
% 19.51/5.08 | From (473) and (172) follows:
% 19.51/5.08 | (2632) op(e0, e1) = e3
% 19.51/5.08 |
% 19.51/5.08 | Instantiating formula (151) with e4, e0, all_0_31_31, all_0_6_6 and discharging atoms op(e4, e0) = all_0_6_6, op(e4, e0) = all_0_31_31, yields:
% 19.51/5.08 | (2633) all_0_6_6 = all_0_31_31
% 19.51/5.08 |
% 19.51/5.08 | Instantiating formula (151) with e4, e0, e4, all_0_6_6 and discharging atoms op(e4, e0) = all_0_6_6, op(e4, e0) = e4, yields:
% 19.51/5.08 | (869) all_0_6_6 = e4
% 19.51/5.08 |
% 19.51/5.08 | Instantiating formula (151) with e3, e2, e4, all_0_28_28 and discharging atoms op(e3, e2) = all_0_28_28, op(e3, e2) = e4, yields:
% 19.51/5.08 | (1724) all_0_28_28 = e4
% 19.51/5.08 |
% 19.51/5.08 | Instantiating formula (151) with e3, e1, all_0_36_36, all_0_27_27 and discharging atoms op(e3, e1) = all_0_27_27, op(e3, e1) = all_0_36_36, yields:
% 19.51/5.08 | (2636) all_0_27_27 = all_0_36_36
% 19.51/5.08 |
% 19.51/5.08 | Instantiating formula (151) with e3, e1, e1, all_0_27_27 and discharging atoms op(e3, e1) = all_0_27_27, op(e3, e1) = e1, yields:
% 19.51/5.08 | (2637) all_0_27_27 = e1
% 19.51/5.08 |
% 19.51/5.08 | Instantiating formula (151) with e2, e4, all_0_3_3, e3 and discharging atoms op(e2, e4) = all_0_3_3, op(e2, e4) = e3, yields:
% 19.51/5.08 | (2638) all_0_3_3 = e3
% 19.51/5.08 |
% 19.51/5.08 | Instantiating formula (151) with e2, e4, all_0_8_8, all_0_3_3 and discharging atoms op(e2, e4) = all_0_3_3, op(e2, e4) = all_0_8_8, yields:
% 19.51/5.08 | (2639) all_0_3_3 = all_0_8_8
% 19.51/5.08 |
% 19.51/5.08 | Instantiating formula (151) with e2, e1, all_0_25_25, all_0_4_4 and discharging atoms op(e2, e1) = all_0_4_4, op(e2, e1) = all_0_25_25, yields:
% 19.51/5.08 | (2640) all_0_4_4 = all_0_25_25
% 19.51/5.08 |
% 19.51/5.08 | Instantiating formula (151) with e2, e1, e4, all_0_4_4 and discharging atoms op(e2, e1) = all_0_4_4, op(e2, e1) = e4, yields:
% 19.51/5.08 | (862) all_0_4_4 = e4
% 19.51/5.08 |
% 19.51/5.08 | Instantiating formula (151) with e1, e4, e4, all_0_30_30 and discharging atoms op(e1, e4) = all_0_30_30, op(e1, e4) = e4, yields:
% 19.51/5.08 | (2642) all_0_30_30 = e4
% 19.51/5.09 |
% 19.51/5.09 | Instantiating formula (151) with e1, e3, all_0_17_17, all_0_12_12 and discharging atoms op(e1, e3) = all_0_12_12, op(e1, e3) = all_0_17_17, yields:
% 19.51/5.09 | (817) all_0_12_12 = all_0_17_17
% 19.51/5.09 |
% 19.51/5.09 | Instantiating formula (151) with e1, e3, e2, all_0_12_12 and discharging atoms op(e1, e3) = all_0_12_12, op(e1, e3) = e2, yields:
% 19.51/5.09 | (2644) all_0_12_12 = e2
% 19.51/5.09 |
% 19.51/5.09 | Instantiating formula (151) with e0, e0, all_0_22_22, e2 and discharging atoms op(e0, e0) = all_0_22_22, op(e0, e0) = e2, yields:
% 19.51/5.09 | (913) all_0_22_22 = e2
% 19.51/5.09 |
% 19.51/5.09 | Combining equations (2639,2638) yields a new equation:
% 19.51/5.09 | (2646) all_0_8_8 = e3
% 19.51/5.09 |
% 19.51/5.09 | Simplifying 2646 yields:
% 19.51/5.09 | (874) all_0_8_8 = e3
% 19.51/5.09 |
% 19.51/5.09 | Combining equations (2640,862) yields a new equation:
% 19.51/5.09 | (2648) all_0_25_25 = e4
% 19.51/5.09 |
% 19.51/5.09 | Simplifying 2648 yields:
% 19.51/5.09 | (2649) all_0_25_25 = e4
% 19.51/5.09 |
% 19.51/5.09 | Combining equations (869,2633) yields a new equation:
% 19.51/5.09 | (2650) all_0_31_31 = e4
% 19.51/5.09 |
% 19.51/5.09 | Combining equations (817,2644) yields a new equation:
% 19.51/5.09 | (2651) all_0_17_17 = e2
% 19.51/5.09 |
% 19.51/5.09 | Simplifying 2651 yields:
% 19.51/5.09 | (901) all_0_17_17 = e2
% 19.51/5.09 |
% 19.51/5.09 | Combining equations (2637,2636) yields a new equation:
% 19.51/5.09 | (2257) all_0_36_36 = e1
% 19.51/5.09 |
% 19.51/5.09 | From (2650) and (2591) follows:
% 19.51/5.09 | (2485) op(e4, e0) = e4
% 19.51/5.09 |
% 19.51/5.09 | From (1724) and (675) follows:
% 19.51/5.09 | (1684) op(e3, e2) = e4
% 19.51/5.09 |
% 19.51/5.09 | From (2257) and (2161) follows:
% 19.51/5.09 | (793) op(e3, e1) = e1
% 19.51/5.09 |
% 19.51/5.09 | From (874) and (2451) follows:
% 19.51/5.09 | (215) op(e2, e4) = e3
% 19.51/5.09 |
% 19.51/5.09 | From (2649) and (2506) follows:
% 19.51/5.09 | (779) op(e2, e1) = e4
% 19.51/5.09 |
% 19.51/5.09 | From (2642) and (727) follows:
% 19.51/5.09 | (2441) op(e1, e4) = e4
% 19.51/5.09 |
% 19.51/5.09 | From (901) and (715) follows:
% 19.51/5.09 | (2507) op(e1, e3) = e2
% 19.51/5.09 |
% 19.51/5.09 | From (913) and (619) follows:
% 19.51/5.09 | (1505) op(e0, e0) = e2
% 19.51/5.09 |
% 19.51/5.09 +-Applying beta-rule and splitting (51), into two cases.
% 19.51/5.09 |-Branch one:
% 19.51/5.09 | (2662) unit = e2
% 19.51/5.09 |
% 19.51/5.09 | From (2662) and (150) follows:
% 19.51/5.09 | (2663) op(e2, e4) = e4
% 19.51/5.09 |
% 19.51/5.09 | From (2662) and (238) follows:
% 19.51/5.09 | (2664) op(e2, e1) = e1
% 19.51/5.09 |
% 19.51/5.09 | Instantiating formula (151) with e2, e4, e4, e3 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e3, yields:
% 19.51/5.09 | (420) e4 = e3
% 19.51/5.09 |
% 19.51/5.09 | Instantiating formula (151) with e2, e1, e1, e4 and discharging atoms op(e2, e1) = e4, op(e2, e1) = e1, yields:
% 19.51/5.09 | (484) e4 = e1
% 19.51/5.09 |
% 19.51/5.09 | Combining equations (484,420) yields a new equation:
% 19.51/5.09 | (708) e3 = e1
% 19.51/5.09 |
% 19.51/5.09 | Equations (708) can reduce 234 to:
% 19.51/5.09 | (301) $false
% 19.51/5.09 |
% 19.51/5.09 |-The branch is then unsatisfiable
% 19.51/5.09 |-Branch two:
% 19.51/5.09 | (2669) ~ (unit = e2)
% 19.51/5.09 | (2670) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 19.51/5.09 |
% 19.51/5.09 +-Applying beta-rule and splitting (2670), into two cases.
% 19.51/5.09 |-Branch one:
% 19.51/5.09 | (2671) unit = e4
% 19.51/5.09 |
% 19.51/5.09 | From (2671) and (200) follows:
% 19.51/5.09 | (2672) op(e4, e0) = e0
% 19.51/5.09 |
% 19.51/5.09 | From (2671) and (229) follows:
% 19.51/5.09 | (2673) op(e1, e4) = e1
% 19.79/5.09 |
% 19.79/5.09 | Instantiating formula (151) with e4, e0, e0, e4 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields:
% 19.79/5.09 | (317) e4 = e0
% 19.79/5.09 |
% 19.79/5.09 | Instantiating formula (151) with e1, e4, e1, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields:
% 19.79/5.09 | (484) e4 = e1
% 19.79/5.09 |
% 19.79/5.09 | Combining equations (484,317) yields a new equation:
% 19.79/5.09 | (934) e1 = e0
% 19.79/5.09 |
% 19.79/5.09 | Simplifying 934 yields:
% 19.79/5.09 | (935) e1 = e0
% 19.79/5.09 |
% 19.79/5.09 | Equations (935) can reduce 247 to:
% 19.79/5.09 | (301) $false
% 19.79/5.09 |
% 19.79/5.09 |-The branch is then unsatisfiable
% 19.79/5.09 |-Branch two:
% 19.79/5.09 | (2679) ~ (unit = e4)
% 19.79/5.09 | (2680) unit = e3 | unit = e1 | unit = e0
% 19.79/5.09 |
% 19.79/5.09 +-Applying beta-rule and splitting (2680), into two cases.
% 19.79/5.09 |-Branch one:
% 19.79/5.09 | (2681) unit = e0
% 19.79/5.09 |
% 19.79/5.09 | Equations (2681) can reduce 2669 to:
% 19.79/5.09 | (313) ~ (e2 = e0)
% 19.79/5.09 |
% 19.79/5.09 | Simplifying 313 yields:
% 19.79/5.09 | (133) ~ (e2 = e0)
% 19.79/5.09 |
% 19.79/5.09 | From (2681) and (125) follows:
% 19.79/5.09 | (2684) op(e0, e0) = e0
% 19.79/5.09 |
% 19.79/5.09 | Instantiating formula (151) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields:
% 19.79/5.09 | (345) e2 = e0
% 19.79/5.09 |
% 19.79/5.09 | Equations (345) can reduce 133 to:
% 19.79/5.09 | (301) $false
% 19.79/5.09 |
% 19.79/5.09 |-The branch is then unsatisfiable
% 19.79/5.09 |-Branch two:
% 19.79/5.09 | (2687) ~ (unit = e0)
% 19.79/5.09 | (2688) unit = e3 | unit = e1
% 19.79/5.09 |
% 19.79/5.09 +-Applying beta-rule and splitting (2688), into two cases.
% 19.79/5.09 |-Branch one:
% 19.79/5.09 | (2689) unit = e3
% 19.79/5.09 |
% 19.79/5.09 | From (2689) and (63) follows:
% 19.79/5.09 | (2690) op(e3, e2) = e2
% 19.79/5.09 |
% 19.79/5.09 | From (2689) and (229) follows:
% 19.79/5.09 | (2691) op(e1, e3) = e1
% 19.79/5.09 |
% 19.79/5.09 | From (2689) and (125) follows:
% 19.79/5.09 | (2692) op(e0, e3) = e0
% 19.79/5.09 |
% 19.79/5.09 | Instantiating formula (151) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields:
% 19.79/5.09 | (504) e4 = e2
% 19.79/5.09 |
% 19.79/5.09 | Instantiating formula (151) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields:
% 19.79/5.09 | (928) e2 = e1
% 19.79/5.09 |
% 19.79/5.09 | Instantiating formula (151) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields:
% 19.79/5.09 | (317) e4 = e0
% 19.79/5.09 |
% 19.79/5.09 | Combining equations (504,317) yields a new equation:
% 19.79/5.09 | (352) e2 = e0
% 19.79/5.09 |
% 19.79/5.09 | Simplifying 352 yields:
% 19.79/5.09 | (345) e2 = e0
% 19.79/5.09 |
% 19.79/5.09 | Combining equations (928,345) yields a new equation:
% 19.79/5.09 | (934) e1 = e0
% 19.79/5.09 |
% 19.79/5.09 | Simplifying 934 yields:
% 19.79/5.09 | (935) e1 = e0
% 19.79/5.09 |
% 19.79/5.09 | Equations (935) can reduce 247 to:
% 19.79/5.09 | (301) $false
% 19.79/5.09 |
% 19.79/5.09 |-The branch is then unsatisfiable
% 19.79/5.09 |-Branch two:
% 19.79/5.09 | (2701) ~ (unit = e3)
% 19.79/5.09 | (2702) unit = e1
% 19.79/5.09 |
% 19.79/5.09 | Equations (2702) can reduce 2687 to:
% 19.79/5.09 | (247) ~ (e1 = e0)
% 19.79/5.09 |
% 19.79/5.09 | From (2702) and (135) follows:
% 19.79/5.09 | (2704) op(e3, e1) = e3
% 19.79/5.09 |
% 19.79/5.09 | From (2702) and (125) follows:
% 19.79/5.09 | (2705) op(e0, e1) = e0
% 19.79/5.09 |
% 19.79/5.09 | Instantiating formula (151) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields:
% 19.79/5.09 | (708) e3 = e1
% 19.79/5.09 |
% 19.79/5.09 | Instantiating formula (151) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields:
% 19.79/5.09 | (415) e3 = e0
% 19.79/5.09 |
% 19.79/5.09 | Combining equations (708,415) yields a new equation:
% 19.79/5.09 | (934) e1 = e0
% 19.79/5.09 |
% 19.79/5.09 | Simplifying 934 yields:
% 19.79/5.09 | (935) e1 = e0
% 19.79/5.09 |
% 19.79/5.09 | Equations (935) can reduce 247 to:
% 19.79/5.09 | (301) $false
% 19.79/5.09 |
% 19.79/5.09 |-The branch is then unsatisfiable
% 19.79/5.10 |-Branch two:
% 19.79/5.10 | (698) ~ (all_0_39_39 = e3)
% 19.79/5.10 | (699) all_0_43_43 = e3 | all_0_52_52 = e3 | all_0_55_55 = e3
% 19.79/5.10 |
% 19.79/5.10 +-Applying beta-rule and splitting (138), into two cases.
% 19.79/5.10 |-Branch one:
% 19.79/5.10 | (694) all_0_39_39 = e3
% 19.79/5.10 |
% 19.79/5.10 | Equations (694) can reduce 698 to:
% 19.79/5.10 | (301) $false
% 19.79/5.10 |
% 19.79/5.10 |-The branch is then unsatisfiable
% 19.79/5.10 |-Branch two:
% 19.79/5.10 | (698) ~ (all_0_39_39 = e3)
% 19.79/5.10 | (1001) all_0_40_40 = e3 | all_0_41_41 = e3
% 19.79/5.10 |
% 19.79/5.10 +-Applying beta-rule and splitting (140), into two cases.
% 19.79/5.10 |-Branch one:
% 19.79/5.10 | (768) all_0_40_40 = e3
% 19.79/5.10 |
% 19.79/5.10 | Combining equations (768,1380) yields a new equation:
% 19.79/5.10 | (572) e3 = e2
% 19.79/5.10 |
% 19.79/5.10 | Simplifying 572 yields:
% 19.79/5.10 | (573) e3 = e2
% 19.79/5.10 |
% 19.79/5.10 | Equations (573) can reduce 231 to:
% 19.79/5.10 | (301) $false
% 19.79/5.10 |
% 19.79/5.10 |-The branch is then unsatisfiable
% 19.79/5.10 |-Branch two:
% 19.79/5.10 | (994) ~ (all_0_40_40 = e3)
% 19.79/5.10 | (995) all_0_45_45 = e3 | all_0_57_57 = e3
% 19.79/5.10 |
% 19.79/5.10 +-Applying beta-rule and splitting (995), into two cases.
% 19.79/5.10 |-Branch one:
% 19.79/5.10 | (2016) all_0_45_45 = e3
% 19.79/5.10 |
% 19.79/5.10 | Combining equations (2016,784) yields a new equation:
% 19.79/5.10 | (707) e3 = e1
% 19.79/5.10 |
% 19.79/5.10 | Simplifying 707 yields:
% 19.79/5.10 | (708) e3 = e1
% 19.79/5.10 |
% 19.79/5.10 | Equations (708) can reduce 234 to:
% 19.79/5.10 | (301) $false
% 19.79/5.10 |
% 19.79/5.10 |-The branch is then unsatisfiable
% 19.79/5.10 |-Branch two:
% 19.79/5.10 | (770) ~ (all_0_45_45 = e3)
% 19.79/5.10 | (473) all_0_57_57 = e3
% 19.79/5.10 |
% 19.79/5.10 | Equations (473) can reduce 377 to:
% 19.79/5.10 | (426) ~ (e4 = e3)
% 19.79/5.10 |
% 19.79/5.10 | Simplifying 426 yields:
% 19.79/5.10 | (199) ~ (e4 = e3)
% 19.79/5.10 |
% 19.79/5.10 | Equations (473) can reduce 452 to:
% 19.79/5.10 | (231) ~ (e3 = e2)
% 19.79/5.10 |
% 19.79/5.10 +-Applying beta-rule and splitting (1001), into two cases.
% 19.79/5.10 |-Branch one:
% 19.79/5.10 | (768) all_0_40_40 = e3
% 19.79/5.10 |
% 19.79/5.10 | Combining equations (768,1380) yields a new equation:
% 19.79/5.10 | (572) e3 = e2
% 19.79/5.10 |
% 19.79/5.10 | Simplifying 572 yields:
% 19.79/5.10 | (573) e3 = e2
% 19.79/5.10 |
% 19.79/5.10 | Equations (573) can reduce 231 to:
% 19.79/5.10 | (301) $false
% 19.79/5.10 |
% 19.79/5.10 |-The branch is then unsatisfiable
% 19.79/5.10 |-Branch two:
% 19.79/5.10 | (994) ~ (all_0_40_40 = e3)
% 19.79/5.10 | (564) all_0_41_41 = e3
% 19.79/5.10 |
% 19.79/5.10 | Combining equations (564,545) yields a new equation:
% 19.79/5.10 | (420) e4 = e3
% 19.79/5.10 |
% 19.79/5.10 | Equations (420) can reduce 199 to:
% 19.79/5.10 | (301) $false
% 19.79/5.10 |
% 19.79/5.10 |-The branch is then unsatisfiable
% 19.79/5.10 |-Branch two:
% 19.79/5.10 | (729) ~ (all_0_40_40 = e2)
% 19.79/5.10 | (2741) all_0_45_45 = e2 | all_0_49_49 = e2 | all_0_57_57 = e2
% 19.79/5.10 |
% 19.79/5.10 +-Applying beta-rule and splitting (2741), into two cases.
% 19.79/5.10 |-Branch one:
% 19.79/5.10 | (752) all_0_45_45 = e2
% 19.79/5.10 |
% 19.79/5.10 | Combining equations (752,784) yields a new equation:
% 19.79/5.10 | (1250) e2 = e1
% 19.79/5.10 |
% 19.79/5.10 | Simplifying 1250 yields:
% 19.79/5.10 | (928) e2 = e1
% 19.79/5.10 |
% 19.79/5.10 | Equations (928) can reduce 122 to:
% 19.79/5.10 | (301) $false
% 19.79/5.10 |
% 19.79/5.10 |-The branch is then unsatisfiable
% 19.79/5.10 |-Branch two:
% 19.79/5.10 | (730) ~ (all_0_45_45 = e2)
% 19.79/5.10 | (2747) all_0_49_49 = e2 | all_0_57_57 = e2
% 19.79/5.10 |
% 19.79/5.10 +-Applying beta-rule and splitting (2747), into two cases.
% 19.79/5.10 |-Branch one:
% 19.79/5.10 | (764) all_0_49_49 = e2
% 19.79/5.10 |
% 19.79/5.10 | Combining equations (491,764) yields a new equation:
% 19.79/5.10 | (553) e4 = e2
% 19.79/5.10 |
% 19.79/5.10 | Simplifying 553 yields:
% 19.79/5.10 | (504) e4 = e2
% 19.79/5.10 |
% 19.79/5.10 | Equations (504) can reduce 42 to:
% 19.79/5.10 | (301) $false
% 19.79/5.10 |
% 19.79/5.10 |-The branch is then unsatisfiable
% 19.79/5.10 |-Branch two:
% 19.79/5.10 | (264) ~ (all_0_49_49 = e2)
% 19.79/5.10 | (458) all_0_57_57 = e2
% 19.79/5.10 |
% 19.79/5.10 | Equations (458) can reduce 452 to:
% 19.79/5.10 | (301) $false
% 19.79/5.10 |
% 19.79/5.10 |-The branch is then unsatisfiable
% 19.79/5.10 |-Branch two:
% 19.79/5.10 | (384) ~ (all_0_43_43 = e0)
% 19.79/5.10 | (1990) all_0_44_44 = e0 | all_0_46_46 = e0
% 19.79/5.10 |
% 19.79/5.10 +-Applying beta-rule and splitting (1990), into two cases.
% 19.79/5.10 |-Branch one:
% 19.79/5.10 | (383) all_0_44_44 = e0
% 19.79/5.10 |
% 19.79/5.10 | Combining equations (403,383) yields a new equation:
% 19.79/5.10 | (316) e4 = e0
% 19.79/5.10 |
% 19.79/5.10 | Simplifying 316 yields:
% 19.79/5.10 | (317) e4 = e0
% 19.79/5.10 |
% 19.79/5.10 | Equations (317) can reduce 43 to:
% 19.79/5.10 | (301) $false
% 19.79/5.10 |
% 19.79/5.10 |-The branch is then unsatisfiable
% 19.79/5.10 |-Branch two:
% 19.79/5.10 | (525) ~ (all_0_44_44 = e0)
% 19.79/5.10 | (1651) all_0_46_46 = e0
% 19.79/5.10 |
% 19.79/5.10 | Combining equations (570,1651) yields a new equation:
% 19.79/5.10 | (414) e3 = e0
% 19.79/5.10 |
% 19.79/5.10 | Simplifying 414 yields:
% 19.79/5.10 | (415) e3 = e0
% 19.79/5.10 |
% 19.79/5.10 | Equations (415) can reduce 81 to:
% 19.79/5.10 | (301) $false
% 19.79/5.10 |
% 19.79/5.10 |-The branch is then unsatisfiable
% 19.79/5.10 |-Branch two:
% 19.79/5.10 | (464) ~ (all_0_49_49 = e4)
% 19.79/5.10 | (487) all_0_49_49 = e1
% 19.79/5.10 |
% 19.79/5.10 | Equations (487) can reduce 478 to:
% 19.79/5.10 | (301) $false
% 19.79/5.10 |
% 19.79/5.10 |-The branch is then unsatisfiable
% 19.79/5.10 |-Branch two:
% 19.79/5.10 | (407) ~ (all_0_44_44 = e4)
% 19.79/5.10 | (408) all_0_53_53 = e4 | all_0_56_56 = e4
% 19.79/5.10 |
% 19.79/5.10 +-Applying beta-rule and splitting (408), into two cases.
% 19.79/5.10 |-Branch one:
% 19.79/5.10 | (409) all_0_53_53 = e4
% 19.79/5.10 |
% 19.79/5.10 | Combining equations (419,409) yields a new equation:
% 19.79/5.10 | (420) e4 = e3
% 19.79/5.10 |
% 19.79/5.10 | Equations (420) can reduce 199 to:
% 19.79/5.10 | (301) $false
% 19.79/5.10 |
% 19.79/5.10 |-The branch is then unsatisfiable
% 19.79/5.10 |-Branch two:
% 19.79/5.10 | (522) ~ (all_0_53_53 = e4)
% 19.79/5.10 | (523) all_0_56_56 = e4
% 19.79/5.10 |
% 19.79/5.10 | Combining equations (538,523) yields a new equation:
% 19.79/5.10 | (317) e4 = e0
% 19.79/5.10 |
% 19.79/5.10 | Equations (317) can reduce 43 to:
% 19.79/5.10 | (301) $false
% 19.79/5.10 |
% 19.79/5.10 |-The branch is then unsatisfiable
% 19.79/5.10 |-Branch two:
% 19.79/5.10 | (486) ~ (all_0_47_47 = e1)
% 19.79/5.10 | (1020) all_0_55_55 = e1
% 19.79/5.10 |
% 19.79/5.10 | Equations (1020) can reduce 1696 to:
% 19.79/5.10 | (301) $false
% 19.79/5.10 |
% 19.79/5.10 |-The branch is then unsatisfiable
% 19.79/5.10 |-Branch two:
% 19.79/5.10 | (706) all_0_43_43 = e1
% 19.79/5.10 | (2016) all_0_45_45 = e3
% 19.79/5.10 |
% 19.79/5.10 | Equations (2016) can reduce 770 to:
% 19.79/5.10 | (301) $false
% 19.79/5.10 |
% 19.79/5.10 |-The branch is then unsatisfiable
% 19.79/5.10 |-Branch two:
% 19.79/5.10 | (279) ~ (all_0_52_52 = e2)
% 19.79/5.10 | (1254) all_0_53_53 = e2
% 19.79/5.10 |
% 19.79/5.10 | Equations (1254) can reduce 268 to:
% 19.79/5.10 | (301) $false
% 19.79/5.10 |
% 19.79/5.10 |-The branch is then unsatisfiable
% 19.79/5.10 |-Branch two:
% 19.79/5.10 | (583) ~ (all_0_46_46 = e3)
% 19.79/5.10 | (366) all_0_58_58 = e3
% 19.79/5.10 |
% 19.79/5.10 | Combining equations (366,300) yields a new equation:
% 19.79/5.10 | (572) e3 = e2
% 19.79/5.10 |
% 19.79/5.10 | Simplifying 572 yields:
% 19.79/5.10 | (573) e3 = e2
% 19.79/5.10 |
% 19.79/5.10 | Equations (573) can reduce 231 to:
% 19.79/5.10 | (301) $false
% 19.79/5.10 |
% 19.79/5.10 |-The branch is then unsatisfiable
% 19.79/5.10 |-Branch two:
% 19.79/5.10 | (277) ~ (all_0_42_42 = e2)
% 19.79/5.10 | (1196) all_0_51_51 = e2 | all_0_54_54 = e2
% 19.79/5.10 |
% 19.79/5.10 +-Applying beta-rule and splitting (1196), into two cases.
% 19.79/5.10 |-Branch one:
% 19.79/5.10 | (276) all_0_51_51 = e2
% 19.79/5.10 |
% 19.79/5.10 | Combining equations (654,276) yields a new equation:
% 19.79/5.10 | (553) e4 = e2
% 19.79/5.10 |
% 19.79/5.10 | Simplifying 553 yields:
% 19.79/5.10 | (504) e4 = e2
% 19.79/5.10 |
% 19.79/5.10 | Equations (504) can reduce 42 to:
% 19.79/5.10 | (301) $false
% 19.79/5.10 |
% 19.79/5.10 |-The branch is then unsatisfiable
% 19.79/5.10 |-Branch two:
% 19.79/5.10 | (971) ~ (all_0_51_51 = e2)
% 19.79/5.10 | (600) all_0_54_54 = e2
% 19.79/5.10 |
% 19.79/5.10 | Equations (600) can reduce 283 to:
% 19.79/5.10 | (301) $false
% 19.79/5.10 |
% 19.79/5.10 |-The branch is then unsatisfiable
% 19.79/5.10 |-Branch two:
% 19.79/5.10 | (2801) ~ (all_0_48_48 = e2)
% 19.79/5.10 | (351) all_0_48_48 = e0
% 19.79/5.10 |
% 19.79/5.10 | Equations (351) can reduce 259 to:
% 19.79/5.10 | (301) $false
% 19.79/5.10 |
% 19.79/5.10 |-The branch is then unsatisfiable
% 19.79/5.10 |-Branch two:
% 19.79/5.10 | (351) all_0_48_48 = e0
% 19.79/5.10 | (331) all_0_50_50 = e2
% 19.79/5.10 |
% 19.79/5.10 | Equations (331) can reduce 210 to:
% 19.79/5.10 | (556) ~ (all_0_41_41 = e2)
% 19.79/5.10 |
% 19.79/5.10 | Equations (351) can reduce 255 to:
% 19.79/5.10 | (525) ~ (all_0_44_44 = e0)
% 19.79/5.10 |
% 19.79/5.10 | Equations (331) can reduce 222 to:
% 19.79/5.10 | (575) ~ (all_0_46_46 = e2)
% 19.79/5.10 |
% 19.79/5.10 | Equations (351) can reduce 26 to:
% 19.79/5.10 | (328) ~ (all_0_47_47 = e0)
% 19.79/5.10 |
% 19.79/5.10 | Equations (331) can reduce 242 to:
% 19.79/5.10 | (262) ~ (all_0_47_47 = e2)
% 19.79/5.10 |
% 19.79/5.10 | Equations (351) can reduce 86 to:
% 19.79/5.10 | (2811) ~ (all_0_49_49 = e0)
% 19.79/5.10 |
% 19.79/5.10 | Simplifying 2811 yields:
% 19.79/5.10 | (241) ~ (all_0_49_49 = e0)
% 19.79/5.10 |
% 19.79/5.10 | Equations (351) can reduce 115 to:
% 19.79/5.10 | (2813) ~ (all_0_53_53 = e0)
% 19.79/5.10 |
% 19.79/5.10 | Simplifying 2813 yields:
% 19.79/5.10 | (22) ~ (all_0_53_53 = e0)
% 19.79/5.10 |
% 19.79/5.10 | Equations (351) can reduce 253 to:
% 19.79/5.10 | (392) ~ (e3 = e0)
% 19.79/5.10 |
% 19.79/5.10 | Simplifying 392 yields:
% 19.79/5.10 | (81) ~ (e3 = e0)
% 19.79/5.10 |
% 19.79/5.10 | Equations (351) can reduce 148 to:
% 19.79/5.10 | (685) ~ (e1 = e0)
% 19.79/5.10 |
% 19.79/5.10 | Simplifying 685 yields:
% 19.79/5.10 | (247) ~ (e1 = e0)
% 19.79/5.10 |
% 19.79/5.10 | Equations (331) can reduce 32 to:
% 19.79/5.10 | (264) ~ (all_0_49_49 = e2)
% 19.79/5.10 |
% 19.79/5.10 | Equations (331) can reduce 103 to:
% 19.79/5.10 | (1284) ~ (all_0_58_58 = e2)
% 19.79/5.10 |
% 19.79/5.10 | Simplifying 1284 yields:
% 19.79/5.10 | (274) ~ (all_0_58_58 = e2)
% 19.79/5.10 |
% 19.79/5.10 | From (331) and (79) follows:
% 19.79/5.10 | (2822) op(e2, e2) = all_0_21_21
% 19.79/5.10 |
% 19.79/5.10 | From (351) and (48) follows:
% 19.79/5.10 | (2823) op(e2, e2) = e0
% 19.79/5.10 |
% 19.79/5.10 | Instantiating formula (151) with e2, e2, e0, all_0_21_21 and discharging atoms op(e2, e2) = all_0_21_21, op(e2, e2) = e0, yields:
% 19.79/5.10 | (2824) all_0_21_21 = e0
% 19.79/5.10 |
% 19.79/5.10 | From (2824) and (2822) follows:
% 19.79/5.11 | (2823) op(e2, e2) = e0
% 19.79/5.11 |
% 19.79/5.11 +-Applying beta-rule and splitting (61), into two cases.
% 19.79/5.11 |-Branch one:
% 19.79/5.11 | (276) all_0_51_51 = e2
% 19.79/5.11 |
% 19.79/5.11 | Equations (276) can reduce 232 to:
% 19.79/5.11 | (226) ~ (all_0_38_38 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Equations (276) can reduce 36 to:
% 19.79/5.11 | (277) ~ (all_0_42_42 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Equations (276) can reduce 85 to:
% 19.79/5.11 | (278) ~ (all_0_52_52 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 278 yields:
% 19.79/5.11 | (279) ~ (all_0_52_52 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Equations (276) can reduce 216 to:
% 19.79/5.11 | (267) ~ (all_0_53_53 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 267 yields:
% 19.79/5.11 | (268) ~ (all_0_53_53 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Equations (276) can reduce 207 to:
% 19.79/5.11 | (282) ~ (all_0_54_54 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 282 yields:
% 19.79/5.11 | (283) ~ (all_0_54_54 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Equations (276) can reduce 78 to:
% 19.79/5.11 | (133) ~ (e2 = e0)
% 19.79/5.11 |
% 19.79/5.11 | From (276) and (95) follows:
% 19.79/5.11 | (287) op(e2, e4) = all_0_24_24
% 19.79/5.11 |
% 19.79/5.11 | From (276) and (175) follows:
% 19.79/5.11 | (288) op(e2, e1) = all_0_23_23
% 19.79/5.11 |
% 19.79/5.11 | From (276) and (65) follows:
% 19.79/5.11 | (289) op(e1, e4) = e2
% 19.79/5.11 |
% 19.79/5.11 | Instantiating formula (151) with e2, e4, all_0_24_24, e3 and discharging atoms op(e2, e4) = all_0_24_24, op(e2, e4) = e3, yields:
% 19.79/5.11 | (290) all_0_24_24 = e3
% 19.79/5.11 |
% 19.79/5.11 | Instantiating formula (151) with e2, e1, all_0_23_23, all_0_49_49 and discharging atoms op(e2, e1) = all_0_23_23, op(e2, e1) = all_0_49_49, yields:
% 19.79/5.11 | (291) all_0_23_23 = all_0_49_49
% 19.79/5.11 |
% 19.79/5.11 | From (290) and (287) follows:
% 19.79/5.11 | (215) op(e2, e4) = e3
% 19.79/5.11 |
% 19.79/5.11 | From (291) and (288) follows:
% 19.79/5.11 | (193) op(e2, e1) = all_0_49_49
% 19.79/5.11 |
% 19.79/5.11 +-Applying beta-rule and splitting (167), into two cases.
% 19.79/5.11 |-Branch one:
% 19.79/5.11 | (275) ~ (all_0_43_43 = e2)
% 19.79/5.11 |
% 19.79/5.11 +-Applying beta-rule and splitting (35), into two cases.
% 19.79/5.11 |-Branch one:
% 19.79/5.11 | (293) ~ (all_0_58_58 = e3)
% 19.79/5.11 |
% 19.79/5.11 +-Applying beta-rule and splitting (170), into two cases.
% 19.79/5.11 |-Branch one:
% 19.79/5.11 | (319) ~ (all_0_38_38 = e0)
% 19.79/5.11 |
% 19.79/5.11 +-Applying beta-rule and splitting (76), into two cases.
% 19.79/5.11 |-Branch one:
% 19.79/5.11 | (294) all_0_38_38 = e4
% 19.79/5.11 |
% 19.79/5.11 | Equations (294) can reduce 3 to:
% 19.79/5.11 | (295) ~ (all_0_39_39 = e4)
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 295 yields:
% 19.79/5.11 | (296) ~ (all_0_39_39 = e4)
% 19.79/5.11 |
% 19.79/5.11 | Equations (294) can reduce 187 to:
% 19.79/5.11 | (297) ~ (all_0_40_40 = e4)
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 297 yields:
% 19.79/5.11 | (298) ~ (all_0_40_40 = e4)
% 19.79/5.11 |
% 19.79/5.11 | Equations (294) can reduce 110 to:
% 19.79/5.11 | (1037) ~ (all_0_41_41 = e4)
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 1037 yields:
% 19.79/5.11 | (1038) ~ (all_0_41_41 = e4)
% 19.79/5.11 |
% 19.79/5.11 | Equations (294) can reduce 139 to:
% 19.79/5.11 | (2853) ~ (all_0_42_42 = e4)
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 2853 yields:
% 19.79/5.11 | (974) ~ (all_0_42_42 = e4)
% 19.79/5.11 |
% 19.79/5.11 | Equations (294) can reduce 88 to:
% 19.79/5.11 | (2094) ~ (all_0_54_54 = e4)
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 2094 yields:
% 19.79/5.11 | (643) ~ (all_0_54_54 = e4)
% 19.79/5.11 |
% 19.79/5.11 | Equations (294) can reduce 7 to:
% 19.79/5.11 | (199) ~ (e4 = e3)
% 19.79/5.11 |
% 19.79/5.11 | Equations (294) can reduce 226 to:
% 19.79/5.11 | (42) ~ (e4 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Equations (294) can reduce 319 to:
% 19.79/5.11 | (43) ~ (e4 = e0)
% 19.79/5.11 |
% 19.79/5.11 +-Applying beta-rule and splitting (248), into two cases.
% 19.79/5.11 |-Branch one:
% 19.79/5.11 | (299) ~ (all_0_58_58 = e4)
% 19.79/5.11 |
% 19.79/5.11 +-Applying beta-rule and splitting (221), into two cases.
% 19.79/5.11 |-Branch one:
% 19.79/5.11 | (545) all_0_41_41 = e4
% 19.79/5.11 |
% 19.79/5.11 | Equations (545) can reduce 1038 to:
% 19.79/5.11 | (301) $false
% 19.79/5.11 |
% 19.79/5.11 |-The branch is then unsatisfiable
% 19.79/5.11 |-Branch two:
% 19.79/5.11 | (1038) ~ (all_0_41_41 = e4)
% 19.79/5.11 | (1051) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_58_58 = e4
% 19.79/5.11 |
% 19.79/5.11 +-Applying beta-rule and splitting (1051), into two cases.
% 19.79/5.11 |-Branch one:
% 19.79/5.11 | (1056) all_0_46_46 = e4
% 19.79/5.11 |
% 19.79/5.11 | Equations (1056) can reduce 14 to:
% 19.79/5.11 | (974) ~ (all_0_42_42 = e4)
% 19.79/5.11 |
% 19.79/5.11 | Equations (1056) can reduce 18 to:
% 19.79/5.11 | (407) ~ (all_0_44_44 = e4)
% 19.79/5.11 |
% 19.79/5.11 | Equations (1056) can reduce 34 to:
% 19.79/5.11 | (489) ~ (all_0_45_45 = e4)
% 19.79/5.11 |
% 19.79/5.11 | Equations (1056) can reduce 184 to:
% 19.79/5.11 | (2869) ~ (all_0_58_58 = e4)
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 2869 yields:
% 19.79/5.11 | (299) ~ (all_0_58_58 = e4)
% 19.79/5.11 |
% 19.79/5.11 | From (1056) and (39) follows:
% 19.79/5.11 | (2871) op(e4, e3) = all_0_14_14
% 19.79/5.11 |
% 19.79/5.11 +-Applying beta-rule and splitting (214), into two cases.
% 19.79/5.11 |-Branch one:
% 19.79/5.11 | (564) all_0_41_41 = e3
% 19.79/5.11 |
% 19.79/5.11 | Equations (564) can reduce 11 to:
% 19.79/5.11 | (698) ~ (all_0_39_39 = e3)
% 19.79/5.11 |
% 19.79/5.11 | Equations (564) can reduce 111 to:
% 19.79/5.11 | (994) ~ (all_0_40_40 = e3)
% 19.79/5.11 |
% 19.79/5.11 | Equations (564) can reduce 224 to:
% 19.79/5.11 | (2875) ~ (all_0_58_58 = e3)
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 2875 yields:
% 19.79/5.11 | (293) ~ (all_0_58_58 = e3)
% 19.79/5.11 |
% 19.79/5.11 | From (564) and (256) follows:
% 19.79/5.11 | (2091) op(e3, e4) = all_0_5_5
% 19.79/5.11 |
% 19.79/5.11 +-Applying beta-rule and splitting (143), into two cases.
% 19.79/5.11 |-Branch one:
% 19.79/5.11 | (315) all_0_38_38 = e0
% 19.79/5.11 |
% 19.79/5.11 | Combining equations (294,315) yields a new equation:
% 19.79/5.11 | (316) e4 = e0
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 316 yields:
% 19.79/5.11 | (317) e4 = e0
% 19.79/5.11 |
% 19.79/5.11 | Equations (317) can reduce 43 to:
% 19.79/5.11 | (301) $false
% 19.79/5.11 |
% 19.79/5.11 |-The branch is then unsatisfiable
% 19.79/5.11 |-Branch two:
% 19.79/5.11 | (319) ~ (all_0_38_38 = e0)
% 19.79/5.11 | (320) all_0_39_39 = e0 | all_0_41_41 = e0
% 19.79/5.11 |
% 19.79/5.11 +-Applying beta-rule and splitting (320), into two cases.
% 19.79/5.11 |-Branch one:
% 19.79/5.11 | (323) all_0_39_39 = e0
% 19.79/5.11 |
% 19.79/5.11 | Equations (323) can reduce 31 to:
% 19.79/5.11 | (677) ~ (all_0_40_40 = e0)
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 677 yields:
% 19.79/5.11 | (171) ~ (all_0_40_40 = e0)
% 19.79/5.11 |
% 19.79/5.11 | Equations (323) can reduce 157 to:
% 19.79/5.11 | (1320) ~ (all_0_47_47 = e0)
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 1320 yields:
% 19.79/5.11 | (328) ~ (all_0_47_47 = e0)
% 19.79/5.11 |
% 19.79/5.11 | Equations (323) can reduce 296 to:
% 19.79/5.11 | (311) ~ (e4 = e0)
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 311 yields:
% 19.79/5.11 | (43) ~ (e4 = e0)
% 19.79/5.11 |
% 19.79/5.11 | Equations (323) can reduce 698 to:
% 19.79/5.11 | (392) ~ (e3 = e0)
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 392 yields:
% 19.79/5.11 | (81) ~ (e3 = e0)
% 19.79/5.11 |
% 19.79/5.11 | Equations (323) can reduce 67 to:
% 19.79/5.11 | (685) ~ (e1 = e0)
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 685 yields:
% 19.79/5.11 | (247) ~ (e1 = e0)
% 19.79/5.11 |
% 19.79/5.11 | From (323) and (82) follows:
% 19.79/5.11 | (2191) op(e0, e4) = all_0_1_1
% 19.79/5.11 |
% 19.79/5.11 | From (323) and (112) follows:
% 19.79/5.11 | (2896) op(e0, e3) = all_0_2_2
% 19.79/5.11 |
% 19.79/5.11 | From (323) and (154) follows:
% 19.79/5.11 | (2897) op(e4, e3) = e0
% 19.79/5.11 |
% 19.79/5.11 +-Applying beta-rule and splitting (254), into two cases.
% 19.79/5.11 |-Branch one:
% 19.79/5.11 | (1380) all_0_40_40 = e2
% 19.79/5.11 |
% 19.79/5.11 | Equations (1380) can reduce 195 to:
% 19.79/5.11 | (263) ~ (all_0_49_49 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 263 yields:
% 19.79/5.11 | (264) ~ (all_0_49_49 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Equations (1380) can reduce 994 to:
% 19.79/5.11 | (284) ~ (e3 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 284 yields:
% 19.79/5.11 | (231) ~ (e3 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Equations (1380) can reduce 134 to:
% 19.79/5.11 | (122) ~ (e2 = e1)
% 19.79/5.11 |
% 19.79/5.11 | Equations (1380) can reduce 171 to:
% 19.79/5.11 | (133) ~ (e2 = e0)
% 19.79/5.11 |
% 19.79/5.11 | From (1380) and (252) follows:
% 19.79/5.11 | (2599) op(e2, e1) = all_0_4_4
% 19.79/5.11 |
% 19.79/5.11 | From (1380) and (117) follows:
% 19.79/5.11 | (2906) op(e4, e1) = e2
% 19.79/5.11 |
% 19.79/5.11 +-Applying beta-rule and splitting (102), into two cases.
% 19.79/5.11 |-Branch one:
% 19.79/5.11 | (344) all_0_39_39 = e2
% 19.79/5.11 |
% 19.79/5.11 | Combining equations (323,344) yields a new equation:
% 19.79/5.11 | (345) e2 = e0
% 19.79/5.11 |
% 19.79/5.11 | Equations (345) can reduce 133 to:
% 19.79/5.11 | (301) $false
% 19.79/5.11 |
% 19.79/5.11 |-The branch is then unsatisfiable
% 19.79/5.11 |-Branch two:
% 19.79/5.11 | (347) ~ (all_0_39_39 = e2)
% 19.79/5.11 | (348) all_0_43_43 = e2 | all_0_47_47 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2
% 19.79/5.11 |
% 19.79/5.11 +-Applying beta-rule and splitting (348), into two cases.
% 19.79/5.11 |-Branch one:
% 19.79/5.11 | (439) all_0_43_43 = e2
% 19.79/5.11 |
% 19.79/5.11 | Equations (439) can reduce 275 to:
% 19.79/5.11 | (301) $false
% 19.79/5.11 |
% 19.79/5.11 |-The branch is then unsatisfiable
% 19.79/5.11 |-Branch two:
% 19.79/5.11 | (275) ~ (all_0_43_43 = e2)
% 19.79/5.11 | (442) all_0_47_47 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2
% 19.79/5.11 |
% 19.79/5.11 +-Applying beta-rule and splitting (442), into two cases.
% 19.79/5.11 |-Branch one:
% 19.79/5.11 | (443) all_0_47_47 = e2
% 19.79/5.11 |
% 19.79/5.11 | Equations (443) can reduce 262 to:
% 19.79/5.11 | (301) $false
% 19.79/5.11 |
% 19.79/5.11 |-The branch is then unsatisfiable
% 19.79/5.11 |-Branch two:
% 19.79/5.11 | (262) ~ (all_0_47_47 = e2)
% 19.79/5.11 | (446) all_0_52_52 = e2 | all_0_55_55 = e2
% 19.79/5.11 |
% 19.79/5.11 +-Applying beta-rule and splitting (446), into two cases.
% 19.79/5.11 |-Branch one:
% 19.79/5.11 | (447) all_0_52_52 = e2
% 19.79/5.11 |
% 19.79/5.11 | Equations (447) can reduce 279 to:
% 19.79/5.11 | (301) $false
% 19.79/5.11 |
% 19.79/5.11 |-The branch is then unsatisfiable
% 19.79/5.11 |-Branch two:
% 19.79/5.11 | (279) ~ (all_0_52_52 = e2)
% 19.79/5.11 | (450) all_0_55_55 = e2
% 19.79/5.11 |
% 19.79/5.11 | Equations (450) can reduce 153 to:
% 19.79/5.11 | (262) ~ (all_0_47_47 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Equations (450) can reduce 235 to:
% 19.79/5.11 | (279) ~ (all_0_52_52 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Equations (450) can reduce 144 to:
% 19.79/5.11 | (283) ~ (all_0_54_54 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Equations (450) can reduce 194 to:
% 19.79/5.11 | (269) ~ (all_0_56_56 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 269 yields:
% 19.79/5.11 | (270) ~ (all_0_56_56 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Equations (450) can reduce 20 to:
% 19.79/5.11 | (451) ~ (all_0_57_57 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 451 yields:
% 19.79/5.11 | (452) ~ (all_0_57_57 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Equations (450) can reduce 116 to:
% 19.79/5.11 | (1284) ~ (all_0_58_58 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 1284 yields:
% 19.79/5.11 | (274) ~ (all_0_58_58 = e2)
% 19.79/5.11 |
% 19.79/5.11 | From (450) and (97) follows:
% 19.79/5.11 | (2933) op(e2, e3) = all_0_32_32
% 19.79/5.11 |
% 19.79/5.11 | From (450) and (41) follows:
% 19.79/5.11 | (2934) op(e0, e3) = e2
% 19.79/5.11 |
% 19.79/5.11 +-Applying beta-rule and splitting (66), into two cases.
% 19.79/5.11 |-Branch one:
% 19.79/5.11 | (737) all_0_42_42 = e2
% 19.79/5.11 |
% 19.79/5.11 | Equations (737) can reduce 277 to:
% 19.79/5.11 | (301) $false
% 19.79/5.11 |
% 19.79/5.11 |-The branch is then unsatisfiable
% 19.79/5.11 |-Branch two:
% 19.79/5.11 | (277) ~ (all_0_42_42 = e2)
% 19.79/5.11 | (740) all_0_43_43 = e2 | all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2
% 19.79/5.11 |
% 19.79/5.11 +-Applying beta-rule and splitting (121), into two cases.
% 19.79/5.11 |-Branch one:
% 19.79/5.11 | (747) all_0_44_44 = e2
% 19.79/5.11 |
% 19.79/5.11 | Equations (747) can reduce 77 to:
% 19.79/5.11 | (275) ~ (all_0_43_43 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Equations (747) can reduce 38 to:
% 19.79/5.11 | (2443) ~ (all_0_45_45 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 2443 yields:
% 19.79/5.11 | (730) ~ (all_0_45_45 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Equations (747) can reduce 109 to:
% 19.79/5.11 | (267) ~ (all_0_53_53 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 267 yields:
% 19.79/5.11 | (268) ~ (all_0_53_53 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Equations (747) can reduce 124 to:
% 19.79/5.11 | (269) ~ (all_0_56_56 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 269 yields:
% 19.79/5.11 | (270) ~ (all_0_56_56 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Equations (747) can reduce 407 to:
% 19.79/5.11 | (271) ~ (e4 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 271 yields:
% 19.79/5.11 | (42) ~ (e4 = e2)
% 19.79/5.11 |
% 19.79/5.11 | Equations (747) can reduce 525 to:
% 19.79/5.11 | (133) ~ (e2 = e0)
% 19.79/5.11 |
% 19.79/5.11 | From (747) and (130) follows:
% 19.79/5.11 | (2950) op(e2, e3) = all_0_10_10
% 19.79/5.11 |
% 19.79/5.11 | From (747) and (185) follows:
% 19.79/5.11 | (2951) op(e2, e2) = all_0_11_11
% 19.79/5.11 |
% 19.79/5.11 | From (747) and (165) follows:
% 19.79/5.11 | (2690) op(e3, e2) = e2
% 19.79/5.11 |
% 19.79/5.11 +-Applying beta-rule and splitting (164), into two cases.
% 19.79/5.11 |-Branch one:
% 19.79/5.11 | (300) all_0_58_58 = e2
% 19.79/5.11 |
% 19.79/5.11 | Equations (300) can reduce 274 to:
% 19.79/5.11 | (301) $false
% 19.79/5.11 |
% 19.79/5.11 |-The branch is then unsatisfiable
% 19.79/5.11 |-Branch two:
% 19.79/5.11 | (274) ~ (all_0_58_58 = e2)
% 19.79/5.11 | (303) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e0
% 19.79/5.11 |
% 19.79/5.11 +-Applying beta-rule and splitting (96), into two cases.
% 19.79/5.11 |-Branch one:
% 19.79/5.11 | (326) all_0_41_41 = e0
% 19.79/5.11 |
% 19.79/5.11 | Combining equations (564,326) yields a new equation:
% 19.79/5.11 | (414) e3 = e0
% 19.79/5.11 |
% 19.79/5.11 | Simplifying 414 yields:
% 19.79/5.11 | (415) e3 = e0
% 19.79/5.11 |
% 19.79/5.11 | Equations (415) can reduce 81 to:
% 19.79/5.11 | (301) $false
% 19.79/5.11 |
% 19.79/5.11 |-The branch is then unsatisfiable
% 19.79/5.11 |-Branch two:
% 19.79/5.11 | (309) ~ (all_0_41_41 = e0)
% 19.79/5.11 | (1650) all_0_46_46 = e0 | all_0_50_50 = e0 | all_0_58_58 = e0
% 19.79/5.12 |
% 19.79/5.12 +-Applying beta-rule and splitting (30), into two cases.
% 19.79/5.12 |-Branch one:
% 19.79/5.12 | (976) all_0_42_42 = e0
% 19.79/5.12 |
% 19.79/5.12 | Equations (976) can reduce 8 to:
% 19.79/5.12 | (2964) ~ (all_0_43_43 = e0)
% 19.79/5.12 |
% 19.79/5.12 | Simplifying 2964 yields:
% 19.79/5.12 | (384) ~ (all_0_43_43 = e0)
% 19.79/5.12 |
% 19.79/5.12 | Equations (976) can reduce 208 to:
% 19.79/5.12 | (622) ~ (all_0_45_45 = e0)
% 19.79/5.12 |
% 19.79/5.12 | Simplifying 622 yields:
% 19.79/5.12 | (163) ~ (all_0_45_45 = e0)
% 19.79/5.12 |
% 19.79/5.12 | From (976) and (159) follows:
% 19.79/5.12 | (2108) op(e0, e4) = all_0_8_8
% 19.79/5.12 |
% 19.79/5.12 | From (976) and (45) follows:
% 19.79/5.12 | (2109) op(e3, e4) = e0
% 19.79/5.12 |
% 19.79/5.12 +-Applying beta-rule and splitting (57), into two cases.
% 19.79/5.12 |-Branch one:
% 19.79/5.12 | (600) all_0_54_54 = e2
% 19.79/5.12 |
% 19.79/5.12 | Equations (600) can reduce 283 to:
% 19.79/5.12 | (301) $false
% 19.79/5.12 |
% 19.79/5.12 |-The branch is then unsatisfiable
% 19.79/5.12 |-Branch two:
% 19.79/5.12 | (283) ~ (all_0_54_54 = e2)
% 19.79/5.12 | (653) all_0_54_54 = e4 | all_0_54_54 = e1 | all_0_54_54 = e0
% 19.79/5.12 |
% 19.79/5.12 +-Applying beta-rule and splitting (186), into two cases.
% 19.79/5.12 |-Branch one:
% 19.79/5.12 | (979) all_0_42_42 = e1
% 19.79/5.12 |
% 19.79/5.12 | Combining equations (976,979) yields a new equation:
% 19.79/5.12 | (935) e1 = e0
% 19.79/5.12 |
% 19.79/5.12 | Equations (935) can reduce 247 to:
% 19.79/5.12 | (301) $false
% 19.79/5.12 |
% 19.79/5.12 |-The branch is then unsatisfiable
% 19.79/5.12 |-Branch two:
% 19.79/5.12 | (785) ~ (all_0_42_42 = e1)
% 19.79/5.12 | (724) all_0_54_54 = e1
% 19.79/5.12 |
% 19.79/5.12 | Equations (724) can reduce 190 to:
% 19.79/5.12 | (2979) ~ (all_0_56_56 = e1)
% 19.79/5.12 |
% 19.79/5.12 | Simplifying 2979 yields:
% 19.79/5.12 | (58) ~ (all_0_56_56 = e1)
% 19.79/5.12 |
% 19.79/5.12 | Equations (724) can reduce 283 to:
% 19.79/5.12 | (788) ~ (e2 = e1)
% 19.79/5.12 |
% 19.79/5.12 | Simplifying 788 yields:
% 19.79/5.12 | (122) ~ (e2 = e1)
% 19.79/5.12 |
% 19.79/5.12 | From (724) and (52) follows:
% 19.79/5.12 | (727) op(e1, e4) = all_0_30_30
% 19.79/5.12 |
% 19.79/5.12 | From (724) and (258) follows:
% 19.79/5.12 | (2176) op(e0, e4) = e1
% 19.79/5.12 |
% 19.79/5.12 +-Applying beta-rule and splitting (303), into two cases.
% 19.79/5.12 |-Branch one:
% 19.79/5.12 | (304) all_0_58_58 = e4
% 19.79/5.12 |
% 19.79/5.12 | Equations (304) can reduce 299 to:
% 19.79/5.12 | (301) $false
% 19.79/5.12 |
% 19.79/5.12 |-The branch is then unsatisfiable
% 19.79/5.12 |-Branch two:
% 19.79/5.12 | (299) ~ (all_0_58_58 = e4)
% 19.79/5.12 | (307) all_0_58_58 = e3 | all_0_58_58 = e0
% 19.79/5.12 |
% 19.79/5.12 +-Applying beta-rule and splitting (307), into two cases.
% 19.79/5.12 |-Branch one:
% 19.79/5.12 | (308) all_0_58_58 = e0
% 19.79/5.12 |
% 19.79/5.12 | Equations (308) can reduce 2 to:
% 19.79/5.12 | (374) ~ (all_0_56_56 = e0)
% 19.79/5.12 |
% 19.79/5.12 | Equations (308) can reduce 5 to:
% 19.79/5.12 | (189) ~ (all_0_57_57 = e0)
% 19.79/5.12 |
% 19.79/5.12 | Equations (308) can reduce 274 to:
% 19.79/5.12 | (313) ~ (e2 = e0)
% 19.79/5.12 |
% 19.79/5.12 | Simplifying 313 yields:
% 19.79/5.12 | (133) ~ (e2 = e0)
% 19.79/5.12 |
% 19.79/5.12 | Instantiating formula (151) with e4, e3, e0, all_0_14_14 and discharging atoms op(e4, e3) = all_0_14_14, op(e4, e3) = e0, yields:
% 19.79/5.12 | (2994) all_0_14_14 = e0
% 19.79/5.12 |
% 19.79/5.12 | Instantiating formula (151) with e3, e4, e0, all_0_5_5 and discharging atoms op(e3, e4) = all_0_5_5, op(e3, e4) = e0, yields:
% 19.79/5.12 | (802) all_0_5_5 = e0
% 19.79/5.12 |
% 19.79/5.12 | Instantiating formula (151) with e2, e3, all_0_10_10, all_0_47_47 and discharging atoms op(e2, e3) = all_0_10_10, op(e2, e3) = all_0_47_47, yields:
% 19.79/5.12 | (2996) all_0_10_10 = all_0_47_47
% 19.79/5.12 |
% 19.79/5.12 | Instantiating formula (151) with e2, e3, all_0_32_32, all_0_10_10 and discharging atoms op(e2, e3) = all_0_10_10, op(e2, e3) = all_0_32_32, yields:
% 19.79/5.12 | (2997) all_0_10_10 = all_0_32_32
% 19.79/5.12 |
% 19.79/5.12 | Instantiating formula (151) with e2, e2, all_0_11_11, e0 and discharging atoms op(e2, e2) = all_0_11_11, op(e2, e2) = e0, yields:
% 19.79/5.12 | (2998) all_0_11_11 = e0
% 19.79/5.12 |
% 19.79/5.12 | Instantiating formula (151) with e2, e1, all_0_4_4, all_0_49_49 and discharging atoms op(e2, e1) = all_0_4_4, op(e2, e1) = all_0_49_49, yields:
% 19.79/5.12 | (2999) all_0_4_4 = all_0_49_49
% 19.79/5.12 |
% 19.79/5.12 | Instantiating formula (151) with e1, e4, all_0_30_30, e2 and discharging atoms op(e1, e4) = all_0_30_30, op(e1, e4) = e2, yields:
% 19.79/5.12 | (816) all_0_30_30 = e2
% 19.79/5.12 |
% 19.79/5.12 | Instantiating formula (151) with e0, e4, all_0_8_8, all_0_1_1 and discharging atoms op(e0, e4) = all_0_1_1, op(e0, e4) = all_0_8_8, yields:
% 19.79/5.12 | (2251) all_0_1_1 = all_0_8_8
% 19.79/5.12 |
% 19.79/5.12 | Instantiating formula (151) with e0, e4, e1, all_0_1_1 and discharging atoms op(e0, e4) = all_0_1_1, op(e0, e4) = e1, yields:
% 19.79/5.12 | (2252) all_0_1_1 = e1
% 19.79/5.12 |
% 19.79/5.12 | Instantiating formula (151) with e0, e3, e2, all_0_2_2 and discharging atoms op(e0, e3) = all_0_2_2, op(e0, e3) = e2, yields:
% 19.79/5.12 | (3003) all_0_2_2 = e2
% 19.79/5.12 |
% 19.79/5.12 | Combining equations (2251,2252) yields a new equation:
% 19.79/5.12 | (2253) all_0_8_8 = e1
% 19.79/5.12 |
% 19.79/5.12 | Simplifying 2253 yields:
% 19.79/5.12 | (2254) all_0_8_8 = e1
% 19.79/5.12 |
% 19.79/5.12 | Combining equations (2997,2996) yields a new equation:
% 19.79/5.12 | (3006) all_0_32_32 = all_0_47_47
% 19.79/5.12 |
% 19.79/5.12 | Simplifying 3006 yields:
% 19.79/5.12 | (3007) all_0_32_32 = all_0_47_47
% 19.79/5.12 |
% 19.79/5.12 | From (2994) and (2871) follows:
% 19.79/5.12 | (2897) op(e4, e3) = e0
% 19.79/5.12 |
% 19.79/5.12 +-Applying beta-rule and splitting (136), into two cases.
% 19.79/5.12 |-Branch one:
% 19.79/5.12 | (710) ~ (all_0_43_43 = e1)
% 19.79/5.12 |
% 19.79/5.12 +-Applying beta-rule and splitting (220), into two cases.
% 19.79/5.12 |-Branch one:
% 19.79/5.12 | (706) all_0_43_43 = e1
% 19.79/5.12 |
% 19.79/5.12 | Equations (706) can reduce 710 to:
% 19.79/5.12 | (301) $false
% 19.79/5.12 |
% 19.79/5.12 |-The branch is then unsatisfiable
% 19.79/5.12 |-Branch two:
% 19.79/5.12 | (710) ~ (all_0_43_43 = e1)
% 19.79/5.12 | (711) all_0_47_47 = e1 | all_0_55_55 = e1
% 19.79/5.12 |
% 19.79/5.12 +-Applying beta-rule and splitting (711), into two cases.
% 19.79/5.12 |-Branch one:
% 19.79/5.12 | (483) all_0_47_47 = e1
% 19.79/5.12 |
% 19.79/5.12 | Combining equations (483,3007) yields a new equation:
% 19.79/5.12 | (3015) all_0_32_32 = e1
% 19.79/5.12 |
% 19.79/5.12 | Equations (483) can reduce 10 to:
% 19.79/5.12 | (710) ~ (all_0_43_43 = e1)
% 19.79/5.12 |
% 19.79/5.12 | Equations (483) can reduce 328 to:
% 19.79/5.12 | (247) ~ (e1 = e0)
% 19.79/5.12 |
% 19.79/5.12 | From (483) and (142) follows:
% 19.79/5.12 | (715) op(e1, e3) = all_0_17_17
% 19.79/5.12 |
% 19.79/5.12 +-Applying beta-rule and splitting (219), into two cases.
% 19.79/5.12 |-Branch one:
% 19.79/5.12 | (764) all_0_49_49 = e2
% 19.79/5.12 |
% 19.79/5.12 | Equations (764) can reduce 264 to:
% 19.79/5.12 | (301) $false
% 19.79/5.12 |
% 19.79/5.12 |-The branch is then unsatisfiable
% 19.79/5.12 |-Branch two:
% 19.79/5.12 | (264) ~ (all_0_49_49 = e2)
% 19.79/5.12 | (767) all_0_49_49 = e4 | all_0_49_49 = e1
% 19.79/5.12 |
% 19.79/5.12 +-Applying beta-rule and splitting (28), into two cases.
% 19.79/5.12 |-Branch one:
% 19.79/5.12 | (979) all_0_42_42 = e1
% 19.79/5.12 |
% 19.79/5.12 | Combining equations (976,979) yields a new equation:
% 19.79/5.12 | (935) e1 = e0
% 19.79/5.12 |
% 19.79/5.12 | Equations (935) can reduce 247 to:
% 19.79/5.12 | (301) $false
% 19.79/5.12 |
% 19.79/5.12 |-The branch is then unsatisfiable
% 19.79/5.12 |-Branch two:
% 19.79/5.12 | (785) ~ (all_0_42_42 = e1)
% 19.79/5.12 | (1997) all_0_43_43 = e1 | all_0_45_45 = e1
% 19.79/5.12 |
% 19.79/5.12 +-Applying beta-rule and splitting (1997), into two cases.
% 19.79/5.12 |-Branch one:
% 19.79/5.12 | (706) all_0_43_43 = e1
% 19.79/5.12 |
% 19.79/5.12 | Equations (706) can reduce 710 to:
% 19.79/5.12 | (301) $false
% 19.79/5.12 |
% 19.79/5.12 |-The branch is then unsatisfiable
% 19.79/5.12 |-Branch two:
% 19.79/5.12 | (710) ~ (all_0_43_43 = e1)
% 19.79/5.12 | (784) all_0_45_45 = e1
% 19.79/5.12 |
% 19.79/5.12 | Equations (784) can reduce 72 to:
% 19.79/5.12 | (710) ~ (all_0_43_43 = e1)
% 19.79/5.12 |
% 19.79/5.12 | Equations (784) can reduce 75 to:
% 19.79/5.12 | (725) ~ (all_0_57_57 = e1)
% 19.79/5.12 |
% 19.79/5.12 | Simplifying 725 yields:
% 19.79/5.12 | (726) ~ (all_0_57_57 = e1)
% 19.79/5.12 |
% 19.79/5.12 | Equations (784) can reduce 489 to:
% 19.79/5.12 | (479) ~ (e4 = e1)
% 19.79/5.12 |
% 19.79/5.12 | Simplifying 479 yields:
% 19.79/5.12 | (114) ~ (e4 = e1)
% 19.79/5.12 |
% 19.79/5.12 | Equations (784) can reduce 730 to:
% 19.79/5.12 | (788) ~ (e2 = e1)
% 19.79/5.12 |
% 19.79/5.12 | Simplifying 788 yields:
% 19.79/5.12 | (122) ~ (e2 = e1)
% 19.79/5.12 |
% 19.79/5.12 | Equations (784) can reduce 163 to:
% 19.79/5.12 | (247) ~ (e1 = e0)
% 19.79/5.12 |
% 19.79/5.12 | From (784) and (50) follows:
% 19.79/5.12 | (791) op(e1, e3) = all_0_12_12
% 19.79/5.12 |
% 19.79/5.12 | From (784) and (44) follows:
% 19.79/5.12 | (792) op(e1, e1) = all_0_13_13
% 19.79/5.12 |
% 19.79/5.12 | From (784) and (196) follows:
% 19.79/5.12 | (793) op(e3, e1) = e1
% 19.79/5.12 |
% 19.79/5.12 +-Applying beta-rule and splitting (176), into two cases.
% 19.79/5.12 |-Branch one:
% 19.79/5.12 | (462) all_0_47_47 = e4
% 19.79/5.12 |
% 19.79/5.12 | Combining equations (462,483) yields a new equation:
% 19.79/5.12 | (858) e4 = e1
% 19.79/5.12 |
% 19.79/5.12 | Simplifying 858 yields:
% 19.79/5.12 | (484) e4 = e1
% 19.79/5.12 |
% 19.79/5.12 | Equations (484) can reduce 114 to:
% 19.79/5.12 | (301) $false
% 19.79/5.12 |
% 19.79/5.12 |-The branch is then unsatisfiable
% 19.79/5.12 |-Branch two:
% 19.79/5.12 | (497) ~ (all_0_47_47 = e4)
% 19.79/5.12 | (3048) all_0_49_49 = e4 | all_0_50_50 = e4
% 19.79/5.12 |
% 19.79/5.12 +-Applying beta-rule and splitting (3048), into two cases.
% 19.79/5.12 |-Branch one:
% 19.79/5.12 | (491) all_0_49_49 = e4
% 19.79/5.12 |
% 19.79/5.12 | Equations (491) can reduce 264 to:
% 19.79/5.12 | (42) ~ (e4 = e2)
% 19.79/5.12 |
% 19.79/5.12 | From (491) and (127) follows:
% 19.79/5.12 | (777) op(e4, e2) = all_0_19_19
% 19.79/5.12 |
% 19.79/5.12 +-Applying beta-rule and splitting (204), into two cases.
% 19.79/5.12 |-Branch one:
% 19.79/5.12 | (439) all_0_43_43 = e2
% 19.79/5.12 |
% 19.79/5.12 | Equations (439) can reduce 275 to:
% 19.79/5.12 | (301) $false
% 19.79/5.12 |
% 19.79/5.12 |-The branch is then unsatisfiable
% 19.79/5.12 |-Branch two:
% 19.79/5.12 | (275) ~ (all_0_43_43 = e2)
% 19.79/5.12 | (1227) all_0_43_43 = e3 | all_0_43_43 = e1 | all_0_43_43 = e0
% 19.79/5.12 |
% 19.79/5.12 +-Applying beta-rule and splitting (140), into two cases.
% 19.79/5.12 |-Branch one:
% 19.79/5.12 | (768) all_0_40_40 = e3
% 19.79/5.12 |
% 19.79/5.12 | Combining equations (1380,768) yields a new equation:
% 19.79/5.12 | (573) e3 = e2
% 19.79/5.12 |
% 19.79/5.12 | Equations (573) can reduce 231 to:
% 19.79/5.12 | (301) $false
% 19.79/5.12 |
% 19.79/5.12 |-The branch is then unsatisfiable
% 19.79/5.12 |-Branch two:
% 19.79/5.12 | (994) ~ (all_0_40_40 = e3)
% 19.79/5.12 | (995) all_0_45_45 = e3 | all_0_57_57 = e3
% 19.79/5.12 |
% 19.79/5.12 +-Applying beta-rule and splitting (1227), into two cases.
% 19.79/5.12 |-Branch one:
% 19.79/5.12 | (513) all_0_43_43 = e0
% 19.79/5.12 |
% 19.79/5.12 | Equations (513) can reduce 384 to:
% 19.79/5.12 | (301) $false
% 19.79/5.12 |
% 19.79/5.12 |-The branch is then unsatisfiable
% 19.79/5.12 |-Branch two:
% 19.79/5.12 | (384) ~ (all_0_43_43 = e0)
% 19.79/5.12 | (1231) all_0_43_43 = e3 | all_0_43_43 = e1
% 19.79/5.12 |
% 19.79/5.12 +-Applying beta-rule and splitting (141), into two cases.
% 19.79/5.12 |-Branch one:
% 19.79/5.12 | (700) all_0_43_43 = e3
% 19.79/5.12 |
% 19.79/5.12 | Equations (700) can reduce 240 to:
% 19.79/5.12 | (3066) ~ (all_0_52_52 = e3)
% 19.79/5.12 |
% 19.79/5.12 | Simplifying 3066 yields:
% 19.79/5.12 | (506) ~ (all_0_52_52 = e3)
% 19.79/5.12 |
% 19.79/5.12 +-Applying beta-rule and splitting (201), into two cases.
% 19.79/5.12 |-Branch one:
% 19.79/5.12 | (455) all_0_52_52 = e3
% 19.79/5.13 |
% 19.79/5.13 | Equations (455) can reduce 506 to:
% 19.79/5.13 | (301) $false
% 19.79/5.13 |
% 19.79/5.13 |-The branch is then unsatisfiable
% 19.79/5.13 |-Branch two:
% 19.79/5.13 | (506) ~ (all_0_52_52 = e3)
% 19.79/5.13 | (419) all_0_53_53 = e3
% 19.79/5.13 |
% 19.79/5.13 | Equations (419) can reduce 60 to:
% 19.79/5.13 | (506) ~ (all_0_52_52 = e3)
% 19.79/5.13 |
% 19.79/5.13 | Equations (419) can reduce 104 to:
% 19.79/5.13 | (234) ~ (e3 = e1)
% 19.79/5.13 |
% 19.79/5.13 | From (419) and (118) follows:
% 19.79/5.13 | (675) op(e3, e2) = all_0_28_28
% 19.79/5.13 |
% 19.79/5.13 | From (419) and (90) follows:
% 19.79/5.13 | (1672) op(e3, e1) = all_0_27_27
% 19.79/5.13 |
% 19.79/5.13 +-Applying beta-rule and splitting (21), into two cases.
% 19.79/5.13 |-Branch one:
% 19.79/5.13 | (403) all_0_44_44 = e4
% 19.79/5.13 |
% 19.79/5.13 | Combining equations (747,403) yields a new equation:
% 19.79/5.13 | (504) e4 = e2
% 19.79/5.13 |
% 19.79/5.13 | Equations (504) can reduce 42 to:
% 19.79/5.13 | (301) $false
% 19.79/5.13 |
% 19.79/5.13 |-The branch is then unsatisfiable
% 19.79/5.13 |-Branch two:
% 19.79/5.13 | (407) ~ (all_0_44_44 = e4)
% 19.79/5.13 | (408) all_0_53_53 = e4 | all_0_56_56 = e4
% 19.79/5.13 |
% 19.79/5.13 | Equations (747) can reduce 407 to:
% 19.79/5.13 | (271) ~ (e4 = e2)
% 19.79/5.13 |
% 19.79/5.13 | Simplifying 271 yields:
% 19.79/5.13 | (42) ~ (e4 = e2)
% 19.79/5.13 |
% 19.79/5.13 +-Applying beta-rule and splitting (168), into two cases.
% 19.79/5.13 |-Branch one:
% 19.79/5.13 | (447) all_0_52_52 = e2
% 19.79/5.13 |
% 19.79/5.13 | Equations (447) can reduce 279 to:
% 19.79/5.13 | (301) $false
% 19.79/5.13 |
% 19.79/5.13 |-The branch is then unsatisfiable
% 19.79/5.13 |-Branch two:
% 19.79/5.13 | (279) ~ (all_0_52_52 = e2)
% 19.79/5.13 | (1680) all_0_52_52 = e4 | all_0_52_52 = e3
% 19.79/5.13 |
% 19.79/5.13 +-Applying beta-rule and splitting (246), into two cases.
% 19.79/5.13 |-Branch one:
% 19.79/5.13 | (654) all_0_51_51 = e4
% 19.79/5.13 |
% 19.79/5.13 | Combining equations (276,654) yields a new equation:
% 19.79/5.13 | (504) e4 = e2
% 19.79/5.13 |
% 19.79/5.13 | Equations (504) can reduce 42 to:
% 19.79/5.13 | (301) $false
% 19.79/5.13 |
% 19.79/5.13 |-The branch is then unsatisfiable
% 19.79/5.13 |-Branch two:
% 19.79/5.13 | (657) ~ (all_0_51_51 = e4)
% 19.79/5.13 | (658) all_0_52_52 = e4 | all_0_53_53 = e4
% 19.79/5.13 |
% 19.79/5.13 +-Applying beta-rule and splitting (179), into two cases.
% 19.79/5.13 |-Branch one:
% 19.79/5.13 | (637) all_0_56_56 = e2
% 19.79/5.13 |
% 19.79/5.13 | Equations (637) can reduce 270 to:
% 19.79/5.13 | (301) $false
% 19.79/5.13 |
% 19.79/5.13 |-The branch is then unsatisfiable
% 19.79/5.13 |-Branch two:
% 19.79/5.13 | (270) ~ (all_0_56_56 = e2)
% 19.79/5.13 | (640) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0
% 19.79/5.13 |
% 19.79/5.13 +-Applying beta-rule and splitting (995), into two cases.
% 19.79/5.13 |-Branch one:
% 19.79/5.13 | (2016) all_0_45_45 = e3
% 19.79/5.13 |
% 19.79/5.13 | Combining equations (784,2016) yields a new equation:
% 19.79/5.13 | (708) e3 = e1
% 19.79/5.13 |
% 19.79/5.13 | Equations (708) can reduce 234 to:
% 19.79/5.13 | (301) $false
% 19.79/5.13 |
% 19.79/5.13 |-The branch is then unsatisfiable
% 19.79/5.13 |-Branch two:
% 19.79/5.13 | (770) ~ (all_0_45_45 = e3)
% 19.79/5.13 | (473) all_0_57_57 = e3
% 19.79/5.13 |
% 19.79/5.13 | Equations (473) can reduce 243 to:
% 19.79/5.13 | (596) ~ (all_0_56_56 = e3)
% 19.79/5.13 |
% 19.79/5.13 | Equations (473) can reduce 726 to:
% 19.79/5.13 | (234) ~ (e3 = e1)
% 19.79/5.13 |
% 19.79/5.13 | Equations (473) can reduce 189 to:
% 19.79/5.13 | (81) ~ (e3 = e0)
% 19.79/5.13 |
% 19.79/5.13 | From (473) and (73) follows:
% 19.79/5.13 | (2161) op(e3, e1) = all_0_36_36
% 19.79/5.13 |
% 19.79/5.13 +-Applying beta-rule and splitting (640), into two cases.
% 19.79/5.13 |-Branch one:
% 19.79/5.13 | (523) all_0_56_56 = e4
% 19.79/5.13 |
% 19.79/5.13 | Equations (523) can reduce 596 to:
% 19.79/5.13 | (199) ~ (e4 = e3)
% 19.79/5.13 |
% 19.79/5.13 | From (523) and (202) follows:
% 19.79/5.13 | (648) op(e4, e2) = all_0_34_34
% 19.79/5.13 |
% 19.79/5.13 +-Applying beta-rule and splitting (658), into two cases.
% 19.79/5.13 |-Branch one:
% 19.79/5.13 | (499) all_0_52_52 = e4
% 19.79/5.13 |
% 19.79/5.13 | Equations (499) can reduce 506 to:
% 19.79/5.13 | (199) ~ (e4 = e3)
% 19.79/5.13 |
% 19.79/5.13 | Equations (499) can reduce 279 to:
% 19.79/5.13 | (42) ~ (e4 = e2)
% 19.79/5.13 |
% 19.79/5.13 | From (499) and (218) follows:
% 19.79/5.13 | (662) op(e4, e3) = all_0_26_26
% 19.79/5.13 |
% 19.79/5.13 | From (499) and (107) follows:
% 19.79/5.13 | (664) op(e1, e3) = e4
% 19.79/5.13 |
% 19.79/5.13 | Instantiating formula (151) with e4, e3, all_0_26_26, e0 and discharging atoms op(e4, e3) = all_0_26_26, op(e4, e3) = e0, yields:
% 19.79/5.13 | (3113) all_0_26_26 = e0
% 19.79/5.13 |
% 19.79/5.13 | Instantiating formula (151) with e4, e2, all_0_19_19, e1 and discharging atoms op(e4, e2) = all_0_19_19, op(e4, e2) = e1, yields:
% 19.79/5.13 | (805) all_0_19_19 = e1
% 19.79/5.13 |
% 19.79/5.13 | Instantiating formula (151) with e4, e2, all_0_34_34, all_0_19_19 and discharging atoms op(e4, e2) = all_0_19_19, op(e4, e2) = all_0_34_34, yields:
% 19.79/5.13 | (806) all_0_19_19 = all_0_34_34
% 19.79/5.13 |
% 19.79/5.13 | Instantiating formula (151) with e3, e2, all_0_28_28, e2 and discharging atoms op(e3, e2) = all_0_28_28, op(e3, e2) = e2, yields:
% 19.79/5.13 | (3116) all_0_28_28 = e2
% 19.79/5.13 |
% 19.79/5.13 | Instantiating formula (151) with e3, e1, all_0_36_36, all_0_27_27 and discharging atoms op(e3, e1) = all_0_27_27, op(e3, e1) = all_0_36_36, yields:
% 19.79/5.13 | (2636) all_0_27_27 = all_0_36_36
% 19.79/5.13 |
% 19.79/5.13 | Instantiating formula (151) with e3, e1, e1, all_0_27_27 and discharging atoms op(e3, e1) = all_0_27_27, op(e3, e1) = e1, yields:
% 19.79/5.13 | (2637) all_0_27_27 = e1
% 19.79/5.13 |
% 19.79/5.13 | Instantiating formula (151) with e1, e3, all_0_17_17, all_0_12_12 and discharging atoms op(e1, e3) = all_0_12_12, op(e1, e3) = all_0_17_17, yields:
% 19.79/5.13 | (817) all_0_12_12 = all_0_17_17
% 19.79/5.13 |
% 19.79/5.13 | Instantiating formula (151) with e1, e3, e4, all_0_12_12 and discharging atoms op(e1, e3) = all_0_12_12, op(e1, e3) = e4, yields:
% 19.79/5.13 | (818) all_0_12_12 = e4
% 19.79/5.13 |
% 19.79/5.13 | Instantiating formula (151) with e1, e1, all_0_13_13, e0 and discharging atoms op(e1, e1) = all_0_13_13, op(e1, e1) = e0, yields:
% 19.79/5.13 | (819) all_0_13_13 = e0
% 19.79/5.13 |
% 19.79/5.13 | Combining equations (817,818) yields a new equation:
% 19.79/5.13 | (3122) all_0_17_17 = e4
% 19.79/5.13 |
% 19.79/5.13 | Simplifying 3122 yields:
% 19.79/5.13 | (827) all_0_17_17 = e4
% 19.79/5.13 |
% 19.79/5.13 | Combining equations (805,806) yields a new equation:
% 19.79/5.13 | (829) all_0_34_34 = e1
% 19.79/5.13 |
% 19.79/5.13 | Combining equations (2636,2637) yields a new equation:
% 19.79/5.13 | (3125) all_0_36_36 = e1
% 19.79/5.13 |
% 19.79/5.13 | Simplifying 3125 yields:
% 19.79/5.13 | (2257) all_0_36_36 = e1
% 19.79/5.13 |
% 19.79/5.13 | Combining equations (829,806) yields a new equation:
% 19.79/5.13 | (805) all_0_19_19 = e1
% 19.79/5.13 |
% 19.79/5.13 +-Applying beta-rule and splitting (128), into two cases.
% 19.79/5.13 |-Branch one:
% 19.79/5.13 | (837) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)) | (all_0_42_42 = e2 & ~ (all_0_44_44 = e4))
% 19.79/5.13 |
% 19.79/5.13 +-Applying beta-rule and splitting (837), into two cases.
% 19.79/5.13 |-Branch one:
% 19.79/5.13 | (838) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1))
% 19.79/5.13 |
% 19.79/5.13 +-Applying beta-rule and splitting (838), into two cases.
% 19.79/5.13 |-Branch one:
% 19.79/5.13 | (839) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56))
% 19.79/5.13 |
% 19.79/5.13 +-Applying beta-rule and splitting (839), into two cases.
% 19.79/5.13 |-Branch one:
% 19.79/5.13 | (840) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55))
% 19.79/5.13 |
% 19.79/5.13 +-Applying beta-rule and splitting (840), into two cases.
% 19.79/5.13 |-Branch one:
% 19.79/5.13 | (841) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54))
% 19.79/5.13 |
% 19.79/5.13 +-Applying beta-rule and splitting (841), into two cases.
% 19.79/5.13 |-Branch one:
% 19.79/5.13 | (842) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53))
% 19.79/5.14 |
% 19.79/5.14 +-Applying beta-rule and splitting (842), into two cases.
% 19.79/5.14 |-Branch one:
% 19.79/5.14 | (843) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52))
% 19.79/5.14 |
% 19.79/5.14 +-Applying beta-rule and splitting (843), into two cases.
% 19.79/5.14 |-Branch one:
% 19.79/5.14 | (844) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51))
% 19.79/5.14 |
% 19.79/5.14 +-Applying beta-rule and splitting (844), into two cases.
% 19.79/5.14 |-Branch one:
% 19.79/5.14 | (845) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56))
% 19.79/5.14 |
% 19.79/5.14 +-Applying beta-rule and splitting (845), into two cases.
% 19.79/5.14 |-Branch one:
% 19.79/5.14 | (846) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53))
% 19.79/5.14 |
% 19.79/5.14 +-Applying beta-rule and splitting (846), into two cases.
% 19.79/5.14 |-Branch one:
% 19.79/5.14 | (847) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47))
% 19.79/5.14 |
% 19.79/5.14 +-Applying beta-rule and splitting (847), into two cases.
% 19.79/5.14 |-Branch one:
% 19.79/5.14 | (848) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55))
% 19.79/5.14 |
% 19.79/5.14 +-Applying beta-rule and splitting (848), into two cases.
% 19.79/5.14 |-Branch one:
% 19.79/5.14 | (849) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52))
% 19.79/5.14 |
% 19.79/5.14 +-Applying beta-rule and splitting (849), into two cases.
% 19.79/5.14 |-Branch one:
% 19.79/5.14 | (850) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47))
% 19.79/5.14 |
% 19.79/5.14 +-Applying beta-rule and splitting (850), into two cases.
% 19.79/5.14 |-Branch one:
% 19.79/5.14 | (851) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42))
% 19.79/5.14 |
% 19.79/5.14 +-Applying beta-rule and splitting (851), into two cases.
% 19.79/5.14 |-Branch one:
% 19.79/5.14 | (852) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54))
% 19.79/5.14 |
% 19.79/5.14 +-Applying beta-rule and splitting (852), into two cases.
% 19.79/5.14 |-Branch one:
% 19.79/5.14 | (853) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51))
% 19.79/5.14 |
% 19.79/5.14 +-Applying beta-rule and splitting (853), into two cases.
% 19.79/5.14 |-Branch one:
% 19.79/5.14 | (854) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)
% 19.79/5.14 |
% 19.79/5.14 | Applying alpha-rule on (854) yields:
% 19.79/5.14 | (855) all_0_2_2 = e4
% 19.79/5.14 | (856) ~ (all_0_1_1 = e3)
% 19.79/5.14 | (857) ~ (all_0_39_39 = all_0_42_42)
% 19.79/5.14 |
% 19.79/5.14 | Combining equations (855,3003) yields a new equation:
% 19.79/5.14 | (553) e4 = e2
% 19.79/5.14 |
% 19.79/5.14 | Simplifying 553 yields:
% 19.79/5.14 | (504) e4 = e2
% 19.79/5.14 |
% 19.79/5.14 | Equations (504) can reduce 42 to:
% 19.79/5.14 | (301) $false
% 19.79/5.14 |
% 19.79/5.14 |-The branch is then unsatisfiable
% 19.79/5.14 |-Branch two:
% 19.79/5.14 | (861) all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)
% 19.79/5.14 |
% 19.79/5.14 | Applying alpha-rule on (861) yields:
% 19.79/5.14 | (862) all_0_4_4 = e4
% 19.79/5.14 | (863) ~ (all_0_3_3 = e1)
% 19.79/5.14 | (864) ~ (all_0_40_40 = all_0_51_51)
% 19.79/5.14 |
% 19.79/5.14 | Equations (1380,276) can reduce 864 to:
% 19.79/5.14 | (301) $false
% 19.79/5.14 |
% 19.79/5.14 |-The branch is then unsatisfiable
% 19.79/5.14 |-Branch two:
% 19.79/5.14 | (868) all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)
% 19.79/5.14 |
% 19.79/5.14 | Applying alpha-rule on (868) yields:
% 19.79/5.14 | (869) all_0_6_6 = e4
% 19.79/5.14 | (870) ~ (all_0_5_5 = e0)
% 19.79/5.14 | (871) ~ (all_0_41_41 = all_0_54_54)
% 19.79/5.14 |
% 19.79/5.14 | Equations (802) can reduce 870 to:
% 19.79/5.14 | (301) $false
% 19.79/5.14 |
% 19.79/5.14 |-The branch is then unsatisfiable
% 19.79/5.14 |-Branch two:
% 19.79/5.14 | (873) all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)
% 19.79/5.14 |
% 19.79/5.14 | Applying alpha-rule on (873) yields:
% 19.79/5.14 | (874) all_0_8_8 = e3
% 19.79/5.14 | (875) ~ (all_0_7_7 = e4)
% 19.79/5.14 | (857) ~ (all_0_39_39 = all_0_42_42)
% 19.79/5.14 |
% 19.79/5.14 | Combining equations (874,2254) yields a new equation:
% 19.79/5.14 | (707) e3 = e1
% 19.79/5.14 |
% 19.79/5.14 | Simplifying 707 yields:
% 19.79/5.14 | (708) e3 = e1
% 19.79/5.14 |
% 19.79/5.14 | Equations (708) can reduce 234 to:
% 19.79/5.14 | (301) $false
% 19.79/5.14 |
% 19.79/5.14 |-The branch is then unsatisfiable
% 19.79/5.14 |-Branch two:
% 19.79/5.14 | (880) all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)
% 19.79/5.14 |
% 19.79/5.14 | Applying alpha-rule on (880) yields:
% 19.79/5.14 | (881) all_0_11_11 = e3
% 19.79/5.14 | (882) ~ (all_0_10_10 = e2)
% 19.79/5.14 | (883) ~ (all_0_44_44 = all_0_47_47)
% 19.79/5.14 |
% 19.79/5.14 | Combining equations (881,2998) yields a new equation:
% 19.79/5.14 | (414) e3 = e0
% 19.79/5.14 |
% 19.79/5.14 | Simplifying 414 yields:
% 19.79/5.14 | (415) e3 = e0
% 19.79/5.14 |
% 19.79/5.14 | Equations (415) can reduce 81 to:
% 19.79/5.14 | (301) $false
% 19.79/5.14 |
% 19.79/5.14 |-The branch is then unsatisfiable
% 19.79/5.14 |-Branch two:
% 19.79/5.14 | (886) all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)
% 19.79/5.14 |
% 19.79/5.14 | Applying alpha-rule on (886) yields:
% 19.79/5.14 | (887) all_0_13_13 = e3
% 19.79/5.14 | (888) ~ (all_0_12_12 = e1)
% 19.79/5.14 | (889) ~ (all_0_45_45 = all_0_52_52)
% 19.79/5.14 |
% 19.79/5.14 | Combining equations (887,819) yields a new equation:
% 19.79/5.14 | (414) e3 = e0
% 19.79/5.14 |
% 19.79/5.14 | Simplifying 414 yields:
% 19.79/5.14 | (415) e3 = e0
% 19.79/5.14 |
% 19.79/5.14 | Equations (415) can reduce 81 to:
% 19.79/5.14 | (301) $false
% 19.79/5.14 |
% 19.79/5.14 |-The branch is then unsatisfiable
% 19.79/5.14 |-Branch two:
% 19.79/5.14 | (893) all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)
% 19.79/5.14 |
% 19.79/5.14 | Applying alpha-rule on (893) yields:
% 19.79/5.14 | (894) all_0_15_15 = e3
% 19.79/5.14 | (895) ~ (all_0_14_14 = e0)
% 19.79/5.14 | (896) ~ (all_0_46_46 = all_0_55_55)
% 19.79/5.14 |
% 19.79/5.14 | Equations (2994) can reduce 895 to:
% 19.79/5.14 | (301) $false
% 19.79/5.14 |
% 19.79/5.14 |-The branch is then unsatisfiable
% 19.79/5.14 |-Branch two:
% 19.79/5.14 | (900) all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)
% 19.79/5.14 |
% 19.79/5.14 | Applying alpha-rule on (900) yields:
% 19.79/5.14 | (901) all_0_17_17 = e2
% 19.79/5.14 | (902) ~ (all_0_16_16 = e3)
% 19.79/5.14 | (883) ~ (all_0_44_44 = all_0_47_47)
% 19.79/5.14 |
% 19.79/5.14 | Combining equations (901,827) yields a new equation:
% 19.79/5.14 | (504) e4 = e2
% 19.79/5.14 |
% 19.79/5.14 | Equations (504) can reduce 42 to:
% 19.79/5.14 | (301) $false
% 19.79/5.14 |
% 19.79/5.14 |-The branch is then unsatisfiable
% 19.79/5.14 |-Branch two:
% 19.79/5.14 | (906) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)
% 19.79/5.14 |
% 19.79/5.14 | Applying alpha-rule on (906) yields:
% 19.79/5.14 | (907) all_0_20_20 = e2
% 19.79/5.14 | (908) ~ (all_0_19_19 = e1)
% 19.79/5.14 | (909) ~ (all_0_49_49 = all_0_53_53)
% 19.79/5.14 |
% 19.79/5.14 | Equations (805) can reduce 908 to:
% 19.79/5.14 | (301) $false
% 19.79/5.14 |
% 19.79/5.14 |-The branch is then unsatisfiable
% 19.79/5.14 |-Branch two:
% 19.79/5.14 | (912) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)
% 19.79/5.14 |
% 19.79/5.14 | Applying alpha-rule on (912) yields:
% 19.79/5.14 | (913) all_0_22_22 = e2
% 19.79/5.14 | (914) ~ (all_0_21_21 = e0)
% 19.79/5.14 | (915) ~ (all_0_50_50 = all_0_56_56)
% 19.79/5.14 |
% 19.79/5.14 | Equations (2824) can reduce 914 to:
% 19.79/5.14 | (301) $false
% 19.79/5.14 |
% 19.79/5.14 |-The branch is then unsatisfiable
% 19.79/5.14 |-Branch two:
% 19.79/5.14 | (918) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)
% 19.79/5.14 |
% 19.79/5.14 | Applying alpha-rule on (918) yields:
% 19.79/5.14 | (919) all_0_24_24 = e1
% 19.79/5.14 | (920) ~ (all_0_23_23 = e4)
% 19.79/5.14 | (864) ~ (all_0_40_40 = all_0_51_51)
% 19.79/5.14 |
% 19.79/5.15 | Combining equations (919,290) yields a new equation:
% 19.79/5.15 | (708) e3 = e1
% 19.79/5.15 |
% 19.79/5.15 | Equations (708) can reduce 234 to:
% 19.79/5.15 | (301) $false
% 19.79/5.15 |
% 19.79/5.15 |-The branch is then unsatisfiable
% 19.79/5.15 |-Branch two:
% 19.79/5.15 | (924) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)
% 19.79/5.15 |
% 19.79/5.15 | Applying alpha-rule on (924) yields:
% 19.79/5.15 | (925) all_0_26_26 = e1
% 19.79/5.15 | (926) ~ (all_0_25_25 = e3)
% 19.79/5.15 | (889) ~ (all_0_45_45 = all_0_52_52)
% 19.79/5.15 |
% 19.79/5.15 | Combining equations (925,3113) yields a new equation:
% 19.79/5.15 | (934) e1 = e0
% 19.79/5.15 |
% 19.79/5.15 | Simplifying 934 yields:
% 19.79/5.15 | (935) e1 = e0
% 19.79/5.15 |
% 19.79/5.15 | Equations (935) can reduce 247 to:
% 19.79/5.15 | (301) $false
% 19.79/5.15 |
% 19.79/5.15 |-The branch is then unsatisfiable
% 19.79/5.15 |-Branch two:
% 19.79/5.15 | (930) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)
% 19.79/5.15 |
% 19.79/5.15 | Applying alpha-rule on (930) yields:
% 19.79/5.15 | (931) all_0_28_28 = e1
% 19.79/5.15 | (932) ~ (all_0_27_27 = e2)
% 19.79/5.15 | (909) ~ (all_0_49_49 = all_0_53_53)
% 19.79/5.15 |
% 19.79/5.15 | Combining equations (931,3116) yields a new equation:
% 19.79/5.15 | (928) e2 = e1
% 19.79/5.15 |
% 19.79/5.15 | Equations (928) can reduce 122 to:
% 19.79/5.15 | (301) $false
% 19.79/5.15 |
% 19.79/5.15 |-The branch is then unsatisfiable
% 19.79/5.15 |-Branch two:
% 19.79/5.15 | (937) all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)
% 19.79/5.15 |
% 19.79/5.15 | Applying alpha-rule on (937) yields:
% 19.79/5.15 | (938) all_0_30_30 = e0
% 19.79/5.15 | (939) ~ (all_0_29_29 = e4)
% 19.79/5.15 | (871) ~ (all_0_41_41 = all_0_54_54)
% 19.79/5.15 |
% 19.79/5.15 | Combining equations (816,938) yields a new equation:
% 19.79/5.15 | (352) e2 = e0
% 19.79/5.15 |
% 19.79/5.15 | Simplifying 352 yields:
% 19.79/5.15 | (345) e2 = e0
% 19.79/5.15 |
% 19.79/5.15 | Equations (345) can reduce 133 to:
% 19.79/5.15 | (301) $false
% 19.79/5.15 |
% 19.79/5.15 |-The branch is then unsatisfiable
% 19.79/5.15 |-Branch two:
% 19.79/5.15 | (944) all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)
% 19.79/5.15 |
% 19.79/5.15 | Applying alpha-rule on (944) yields:
% 19.79/5.15 | (945) all_0_32_32 = e0
% 19.79/5.15 | (946) ~ (all_0_31_31 = e3)
% 19.79/5.15 | (896) ~ (all_0_46_46 = all_0_55_55)
% 19.79/5.15 |
% 19.79/5.15 | Combining equations (3015,945) yields a new equation:
% 19.79/5.15 | (934) e1 = e0
% 19.79/5.15 |
% 19.79/5.15 | Simplifying 934 yields:
% 19.79/5.15 | (935) e1 = e0
% 19.79/5.15 |
% 19.79/5.15 | Equations (935) can reduce 247 to:
% 19.79/5.15 | (301) $false
% 19.79/5.15 |
% 19.79/5.15 |-The branch is then unsatisfiable
% 19.79/5.15 |-Branch two:
% 19.79/5.15 | (949) all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)
% 19.79/5.15 |
% 19.79/5.15 | Applying alpha-rule on (949) yields:
% 19.79/5.15 | (950) all_0_34_34 = e0
% 19.79/5.15 | (951) ~ (all_0_33_33 = e2)
% 19.79/5.15 | (915) ~ (all_0_50_50 = all_0_56_56)
% 19.79/5.15 |
% 19.79/5.15 | Combining equations (829,950) yields a new equation:
% 19.79/5.15 | (934) e1 = e0
% 19.79/5.15 |
% 19.79/5.15 | Simplifying 934 yields:
% 19.79/5.15 | (935) e1 = e0
% 19.79/5.15 |
% 19.79/5.15 | Equations (935) can reduce 247 to:
% 19.79/5.15 | (301) $false
% 19.79/5.15 |
% 19.79/5.15 |-The branch is then unsatisfiable
% 19.79/5.15 |-Branch two:
% 19.79/5.15 | (956) all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)
% 19.79/5.15 |
% 19.79/5.15 | Applying alpha-rule on (956) yields:
% 19.79/5.15 | (957) all_0_36_36 = e0
% 19.79/5.15 | (958) ~ (all_0_35_35 = e1)
% 19.79/5.15 | (726) ~ (all_0_57_57 = e1)
% 19.79/5.15 |
% 19.79/5.15 | Combining equations (2257,957) yields a new equation:
% 19.79/5.15 | (934) e1 = e0
% 19.79/5.15 |
% 19.79/5.15 | Simplifying 934 yields:
% 19.79/5.15 | (935) e1 = e0
% 19.79/5.15 |
% 19.79/5.15 | Equations (935) can reduce 247 to:
% 19.79/5.15 | (301) $false
% 19.79/5.15 |
% 19.79/5.15 |-The branch is then unsatisfiable
% 19.79/5.15 |-Branch two:
% 19.79/5.15 | (963) all_0_42_42 = e2 & ~ (all_0_44_44 = e4)
% 19.79/5.15 |
% 19.79/5.15 | Applying alpha-rule on (963) yields:
% 19.79/5.15 | (737) all_0_42_42 = e2
% 19.79/5.15 | (407) ~ (all_0_44_44 = e4)
% 19.79/5.15 |
% 19.79/5.15 | Combining equations (976,737) yields a new equation:
% 19.79/5.15 | (345) e2 = e0
% 19.79/5.15 |
% 19.79/5.15 | Equations (345) can reduce 133 to:
% 19.79/5.15 | (301) $false
% 19.79/5.15 |
% 19.79/5.15 |-The branch is then unsatisfiable
% 19.79/5.15 |-Branch two:
% 19.79/5.15 | (969) all_0_53_53 = e4 & ~ (all_0_51_51 = e2)
% 19.79/5.15 |
% 19.79/5.15 | Applying alpha-rule on (969) yields:
% 19.79/5.15 | (409) all_0_53_53 = e4
% 19.79/5.15 | (971) ~ (all_0_51_51 = e2)
% 19.79/5.15 |
% 19.79/5.15 | Combining equations (409,419) yields a new equation:
% 19.79/5.15 | (508) e4 = e3
% 19.79/5.15 |
% 19.79/5.15 | Simplifying 508 yields:
% 19.79/5.15 | (420) e4 = e3
% 19.79/5.15 |
% 19.79/5.15 | Equations (420) can reduce 199 to:
% 19.79/5.15 | (301) $false
% 19.79/5.15 |
% 19.79/5.15 |-The branch is then unsatisfiable
% 19.79/5.15 |-Branch two:
% 19.79/5.15 | (410) ~ (all_0_52_52 = e4)
% 19.79/5.15 | (409) all_0_53_53 = e4
% 19.79/5.15 |
% 19.79/5.15 | Combining equations (409,419) yields a new equation:
% 19.79/5.15 | (508) e4 = e3
% 19.79/5.15 |
% 19.79/5.15 | Simplifying 508 yields:
% 19.79/5.15 | (420) e4 = e3
% 19.79/5.15 |
% 19.79/5.15 | Equations (420) can reduce 199 to:
% 19.79/5.15 | (301) $false
% 19.79/5.15 |
% 19.79/5.15 |-The branch is then unsatisfiable
% 19.79/5.15 |-Branch two:
% 19.79/5.15 | (376) ~ (all_0_56_56 = e4)
% 19.79/5.15 | (1123) all_0_56_56 = e3 | all_0_56_56 = e0
% 19.79/5.15 |
% 19.79/5.15 +-Applying beta-rule and splitting (1680), into two cases.
% 19.79/5.15 |-Branch one:
% 19.79/5.15 | (499) all_0_52_52 = e4
% 19.79/5.15 |
% 19.79/5.15 | Equations (499) can reduce 506 to:
% 19.79/5.15 | (199) ~ (e4 = e3)
% 19.79/5.15 |
% 19.79/5.15 +-Applying beta-rule and splitting (408), into two cases.
% 19.79/5.15 |-Branch one:
% 19.79/5.15 | (409) all_0_53_53 = e4
% 19.79/5.15 |
% 19.79/5.15 | Combining equations (409,419) yields a new equation:
% 19.79/5.15 | (508) e4 = e3
% 19.79/5.15 |
% 19.79/5.15 | Simplifying 508 yields:
% 19.79/5.15 | (420) e4 = e3
% 19.79/5.15 |
% 19.79/5.15 | Equations (420) can reduce 199 to:
% 19.79/5.15 | (301) $false
% 19.79/5.15 |
% 19.79/5.15 |-The branch is then unsatisfiable
% 19.79/5.15 |-Branch two:
% 19.79/5.15 | (522) ~ (all_0_53_53 = e4)
% 19.79/5.15 | (523) all_0_56_56 = e4
% 19.79/5.15 |
% 19.79/5.15 | Equations (523) can reduce 376 to:
% 19.79/5.15 | (301) $false
% 19.79/5.15 |
% 19.79/5.15 |-The branch is then unsatisfiable
% 19.79/5.15 |-Branch two:
% 19.79/5.15 | (410) ~ (all_0_52_52 = e4)
% 19.79/5.15 | (455) all_0_52_52 = e3
% 19.79/5.15 |
% 19.79/5.15 | Equations (455) can reduce 506 to:
% 19.79/5.15 | (301) $false
% 19.79/5.15 |
% 19.79/5.15 |-The branch is then unsatisfiable
% 19.79/5.15 |-Branch two:
% 19.79/5.15 | (1024) ~ (all_0_43_43 = e3)
% 19.79/5.15 | (3282) all_0_44_44 = e3 | all_0_45_45 = e3 | all_0_46_46 = e3
% 19.79/5.15 |
% 19.79/5.15 +-Applying beta-rule and splitting (1231), into two cases.
% 19.79/5.15 |-Branch one:
% 19.79/5.15 | (700) all_0_43_43 = e3
% 19.79/5.15 |
% 19.79/5.15 | Equations (700) can reduce 1024 to:
% 19.79/5.15 | (301) $false
% 19.79/5.15 |
% 19.79/5.15 |-The branch is then unsatisfiable
% 19.79/5.15 |-Branch two:
% 19.79/5.15 | (1024) ~ (all_0_43_43 = e3)
% 19.79/5.15 | (706) all_0_43_43 = e1
% 19.79/5.15 |
% 19.79/5.15 | Equations (706) can reduce 710 to:
% 19.79/5.15 | (301) $false
% 19.79/5.15 |
% 19.79/5.15 |-The branch is then unsatisfiable
% 19.79/5.15 |-Branch two:
% 19.79/5.15 | (464) ~ (all_0_49_49 = e4)
% 19.79/5.15 | (335) all_0_50_50 = e4
% 19.79/5.15 |
% 19.79/5.15 | Combining equations (331,335) yields a new equation:
% 19.79/5.15 | (504) e4 = e2
% 19.79/5.15 |
% 19.79/5.15 | Equations (504) can reduce 42 to:
% 19.79/5.15 | (301) $false
% 19.79/5.15 |
% 19.79/5.15 |-The branch is then unsatisfiable
% 19.79/5.15 |-Branch two:
% 19.79/5.15 | (486) ~ (all_0_47_47 = e1)
% 19.79/5.15 | (1020) all_0_55_55 = e1
% 19.79/5.15 |
% 19.79/5.15 | Combining equations (1020,450) yields a new equation:
% 19.79/5.15 | (928) e2 = e1
% 19.79/5.15 |
% 19.79/5.15 | Equations (928) can reduce 122 to:
% 19.79/5.15 | (301) $false
% 19.79/5.15 |
% 19.79/5.15 |-The branch is then unsatisfiable
% 19.79/5.15 |-Branch two:
% 19.79/5.15 | (706) all_0_43_43 = e1
% 19.79/5.15 | (2016) all_0_45_45 = e3
% 19.79/5.15 |
% 19.79/5.15 | Equations (706) can reduce 10 to:
% 19.79/5.15 | (3298) ~ (all_0_47_47 = e1)
% 19.79/5.15 |
% 19.79/5.15 | Simplifying 3298 yields:
% 19.79/5.15 | (486) ~ (all_0_47_47 = e1)
% 19.79/5.15 |
% 19.79/5.15 | Equations (2016) can reduce 23 to:
% 19.79/5.15 | (3300) ~ (all_0_49_49 = e3)
% 19.79/5.15 |
% 19.79/5.15 | Simplifying 3300 yields:
% 19.79/5.15 | (191) ~ (all_0_49_49 = e3)
% 19.79/5.15 |
% 19.79/5.15 | Equations (2016) can reduce 75 to:
% 19.79/5.15 | (424) ~ (all_0_57_57 = e3)
% 19.79/5.15 |
% 19.79/5.15 | Simplifying 424 yields:
% 19.79/5.15 | (425) ~ (all_0_57_57 = e3)
% 19.79/5.15 |
% 19.79/5.15 | Equations (2016) can reduce 730 to:
% 19.79/5.15 | (231) ~ (e3 = e2)
% 19.79/5.15 |
% 19.79/5.15 | Equations (2016) can reduce 163 to:
% 19.79/5.15 | (81) ~ (e3 = e0)
% 19.79/5.15 |
% 19.79/5.15 +-Applying beta-rule and splitting (209), into two cases.
% 19.79/5.15 |-Branch one:
% 19.79/5.15 | (483) all_0_47_47 = e1
% 19.79/5.15 |
% 19.79/5.15 | Equations (483) can reduce 486 to:
% 19.79/5.15 | (301) $false
% 19.79/5.15 |
% 19.79/5.15 |-The branch is then unsatisfiable
% 19.79/5.15 |-Branch two:
% 19.79/5.15 | (486) ~ (all_0_47_47 = e1)
% 19.79/5.15 | (487) all_0_49_49 = e1
% 19.79/5.15 |
% 19.79/5.15 | Combining equations (487,2999) yields a new equation:
% 19.79/5.15 | (810) all_0_4_4 = e1
% 19.79/5.15 |
% 19.79/5.15 | Equations (487) can reduce 93 to:
% 19.79/5.15 | (486) ~ (all_0_47_47 = e1)
% 19.79/5.15 |
% 19.79/5.15 | Equations (487) can reduce 94 to:
% 19.79/5.15 | (725) ~ (all_0_57_57 = e1)
% 19.79/5.15 |
% 19.79/5.15 | Simplifying 725 yields:
% 19.79/5.15 | (726) ~ (all_0_57_57 = e1)
% 19.79/5.15 |
% 19.79/5.15 | Equations (487) can reduce 191 to:
% 19.79/5.15 | (786) ~ (e3 = e1)
% 19.79/5.15 |
% 19.79/5.15 | Simplifying 786 yields:
% 19.79/5.15 | (234) ~ (e3 = e1)
% 19.79/5.15 |
% 19.79/5.15 | From (487) and (162) follows:
% 19.79/5.15 | (3316) op(e1, e1) = all_0_20_20
% 19.79/5.15 |
% 19.79/5.15 +-Applying beta-rule and splitting (123), into two cases.
% 19.79/5.15 |-Branch one:
% 19.79/5.15 | (694) all_0_39_39 = e3
% 19.79/5.15 |
% 19.79/5.15 | Combining equations (323,694) yields a new equation:
% 19.79/5.15 | (415) e3 = e0
% 19.79/5.15 |
% 19.79/5.15 | Equations (415) can reduce 81 to:
% 19.79/5.15 | (301) $false
% 19.79/5.15 |
% 19.79/5.15 |-The branch is then unsatisfiable
% 19.79/5.15 |-Branch two:
% 19.79/5.15 | (698) ~ (all_0_39_39 = e3)
% 19.79/5.15 | (699) all_0_43_43 = e3 | all_0_52_52 = e3 | all_0_55_55 = e3
% 19.79/5.15 |
% 19.79/5.15 +-Applying beta-rule and splitting (699), into two cases.
% 19.79/5.15 |-Branch one:
% 19.79/5.15 | (700) all_0_43_43 = e3
% 19.79/5.15 |
% 19.79/5.15 | Combining equations (706,700) yields a new equation:
% 19.79/5.15 | (708) e3 = e1
% 19.79/5.15 |
% 19.79/5.15 | Equations (708) can reduce 234 to:
% 19.79/5.15 | (301) $false
% 19.79/5.15 |
% 19.79/5.15 |-The branch is then unsatisfiable
% 19.79/5.15 |-Branch two:
% 19.79/5.15 | (1024) ~ (all_0_43_43 = e3)
% 19.79/5.15 | (1025) all_0_52_52 = e3 | all_0_55_55 = e3
% 19.79/5.15 |
% 19.79/5.15 +-Applying beta-rule and splitting (1025), into two cases.
% 19.79/5.15 |-Branch one:
% 19.79/5.15 | (455) all_0_52_52 = e3
% 19.79/5.15 |
% 19.79/5.15 | Equations (455) can reduce 60 to:
% 19.79/5.15 | (1274) ~ (all_0_53_53 = e3)
% 19.79/5.15 |
% 19.79/5.15 | Simplifying 1274 yields:
% 19.79/5.15 | (422) ~ (all_0_53_53 = e3)
% 19.79/5.15 |
% 19.79/5.15 | Equations (455) can reduce 279 to:
% 19.79/5.15 | (231) ~ (e3 = e2)
% 19.79/5.15 |
% 19.79/5.15 +-Applying beta-rule and splitting (56), into two cases.
% 19.79/5.15 |-Branch one:
% 19.79/5.15 | (1254) all_0_53_53 = e2
% 19.79/5.15 |
% 19.79/5.15 | Equations (1254) can reduce 268 to:
% 19.79/5.15 | (301) $false
% 19.79/5.15 |
% 19.79/5.15 |-The branch is then unsatisfiable
% 19.79/5.15 |-Branch two:
% 19.79/5.15 | (268) ~ (all_0_53_53 = e2)
% 19.79/5.15 | (1307) all_0_53_53 = e4 | all_0_53_53 = e3
% 19.79/5.15 |
% 19.79/5.15 +-Applying beta-rule and splitting (205), into two cases.
% 19.79/5.15 |-Branch one:
% 19.79/5.15 | (443) all_0_47_47 = e2
% 19.79/5.15 |
% 19.79/5.15 | Equations (443) can reduce 262 to:
% 19.79/5.15 | (301) $false
% 19.79/5.15 |
% 19.79/5.15 |-The branch is then unsatisfiable
% 19.79/5.15 |-Branch two:
% 19.79/5.15 | (262) ~ (all_0_47_47 = e2)
% 19.79/5.15 | (3338) all_0_47_47 = e4 | all_0_47_47 = e1 | all_0_47_47 = e0
% 19.79/5.15 |
% 19.79/5.15 +-Applying beta-rule and splitting (230), into two cases.
% 19.79/5.15 |-Branch one:
% 19.79/5.15 | (413) all_0_44_44 = e3
% 19.79/5.15 |
% 19.79/5.16 | Combining equations (747,413) yields a new equation:
% 19.79/5.16 | (573) e3 = e2
% 19.79/5.16 |
% 19.79/5.16 | Equations (573) can reduce 231 to:
% 19.79/5.16 | (301) $false
% 19.79/5.16 |
% 19.79/5.16 |-The branch is then unsatisfiable
% 19.79/5.16 |-Branch two:
% 19.79/5.16 | (417) ~ (all_0_44_44 = e3)
% 19.79/5.16 | (418) all_0_53_53 = e3 | all_0_56_56 = e3
% 19.79/5.16 |
% 19.79/5.16 +-Applying beta-rule and splitting (176), into two cases.
% 19.79/5.16 |-Branch one:
% 19.79/5.16 | (462) all_0_47_47 = e4
% 19.79/5.16 |
% 19.79/5.16 | Combining equations (462,3007) yields a new equation:
% 19.79/5.16 | (3345) all_0_32_32 = e4
% 19.79/5.16 |
% 19.79/5.16 | From (462) and (142) follows:
% 19.79/5.16 | (3346) op(e4, e3) = all_0_17_17
% 19.79/5.16 |
% 19.79/5.16 +-Applying beta-rule and splitting (19), into two cases.
% 19.79/5.16 |-Branch one:
% 19.79/5.16 | (458) all_0_57_57 = e2
% 19.79/5.16 |
% 19.79/5.16 | Equations (458) can reduce 452 to:
% 19.79/5.16 | (301) $false
% 19.79/5.16 |
% 19.79/5.16 |-The branch is then unsatisfiable
% 19.79/5.16 |-Branch two:
% 19.79/5.16 | (452) ~ (all_0_57_57 = e2)
% 19.79/5.16 | (461) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e1
% 19.79/5.16 |
% 19.79/5.16 +-Applying beta-rule and splitting (1307), into two cases.
% 19.79/5.16 |-Branch one:
% 19.79/5.16 | (409) all_0_53_53 = e4
% 19.79/5.16 |
% 19.79/5.16 | Equations (409) can reduce 422 to:
% 19.79/5.16 | (199) ~ (e4 = e3)
% 19.79/5.16 |
% 19.79/5.16 | From (409) and (90) follows:
% 19.79/5.16 | (3353) op(e4, e1) = all_0_27_27
% 19.79/5.16 |
% 19.79/5.16 +-Applying beta-rule and splitting (461), into two cases.
% 19.79/5.16 |-Branch one:
% 19.79/5.16 | (469) all_0_57_57 = e4
% 19.79/5.16 |
% 19.79/5.16 | Equations (469) can reduce 425 to:
% 19.79/5.16 | (199) ~ (e4 = e3)
% 19.79/5.16 |
% 19.79/5.16 | Equations (469) can reduce 452 to:
% 19.79/5.16 | (42) ~ (e4 = e2)
% 19.79/5.16 |
% 19.79/5.16 | Equations (469) can reduce 726 to:
% 19.79/5.16 | (114) ~ (e4 = e1)
% 19.79/5.16 |
% 19.79/5.16 | Equations (469) can reduce 189 to:
% 19.79/5.16 | (43) ~ (e4 = e0)
% 19.79/5.16 |
% 19.79/5.16 | From (469) and (73) follows:
% 19.79/5.16 | (3359) op(e4, e1) = all_0_36_36
% 19.79/5.16 |
% 19.79/5.16 +-Applying beta-rule and splitting (418), into two cases.
% 19.79/5.16 |-Branch one:
% 19.79/5.16 | (419) all_0_53_53 = e3
% 19.79/5.16 |
% 19.79/5.16 | Combining equations (419,409) yields a new equation:
% 19.79/5.16 | (420) e4 = e3
% 19.79/5.16 |
% 19.79/5.16 | Equations (420) can reduce 199 to:
% 19.79/5.16 | (301) $false
% 19.79/5.16 |
% 19.79/5.16 |-The branch is then unsatisfiable
% 19.79/5.16 |-Branch two:
% 19.79/5.16 | (422) ~ (all_0_53_53 = e3)
% 19.79/5.16 | (423) all_0_56_56 = e3
% 19.79/5.16 |
% 19.79/5.16 | Equations (423) can reduce 58 to:
% 19.79/5.16 | (234) ~ (e3 = e1)
% 19.79/5.16 |
% 19.79/5.16 | Equations (423) can reduce 374 to:
% 19.79/5.16 | (81) ~ (e3 = e0)
% 19.79/5.16 |
% 19.79/5.16 | From (423) and (202) follows:
% 19.79/5.16 | (3367) op(e3, e2) = all_0_34_34
% 19.79/5.16 |
% 19.79/5.16 | Instantiating formula (151) with e4, e3, all_0_17_17, e0 and discharging atoms op(e4, e3) = all_0_17_17, op(e4, e3) = e0, yields:
% 19.79/5.16 | (3368) all_0_17_17 = e0
% 19.79/5.16 |
% 19.79/5.16 | Instantiating formula (151) with e4, e1, all_0_27_27, e2 and discharging atoms op(e4, e1) = all_0_27_27, op(e4, e1) = e2, yields:
% 19.79/5.16 | (1734) all_0_27_27 = e2
% 19.79/5.16 |
% 19.79/5.16 | Instantiating formula (151) with e4, e1, all_0_36_36, all_0_27_27 and discharging atoms op(e4, e1) = all_0_27_27, op(e4, e1) = all_0_36_36, yields:
% 19.79/5.16 | (2636) all_0_27_27 = all_0_36_36
% 19.79/5.16 |
% 19.79/5.16 | Instantiating formula (151) with e3, e2, all_0_34_34, e2 and discharging atoms op(e3, e2) = all_0_34_34, op(e3, e2) = e2, yields:
% 19.79/5.16 | (3371) all_0_34_34 = e2
% 19.79/5.16 |
% 19.79/5.16 | Instantiating formula (151) with e1, e1, all_0_20_20, e0 and discharging atoms op(e1, e1) = all_0_20_20, op(e1, e1) = e0, yields:
% 19.79/5.16 | (3372) all_0_20_20 = e0
% 19.79/5.16 |
% 19.79/5.16 | Combining equations (1734,2636) yields a new equation:
% 19.79/5.16 | (3373) all_0_36_36 = e2
% 19.79/5.16 |
% 19.79/5.16 | Combining equations (3373,2636) yields a new equation:
% 19.79/5.16 | (1734) all_0_27_27 = e2
% 19.79/5.16 |
% 19.79/5.16 +-Applying beta-rule and splitting (128), into two cases.
% 19.79/5.16 |-Branch one:
% 19.79/5.16 | (837) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)) | (all_0_42_42 = e2 & ~ (all_0_44_44 = e4))
% 19.79/5.16 |
% 19.79/5.16 +-Applying beta-rule and splitting (837), into two cases.
% 19.79/5.16 |-Branch one:
% 19.79/5.16 | (838) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1))
% 19.79/5.16 |
% 19.79/5.16 +-Applying beta-rule and splitting (838), into two cases.
% 19.79/5.16 |-Branch one:
% 19.79/5.16 | (839) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56))
% 19.79/5.16 |
% 19.79/5.16 +-Applying beta-rule and splitting (839), into two cases.
% 19.79/5.16 |-Branch one:
% 19.79/5.16 | (840) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55))
% 19.79/5.16 |
% 19.79/5.16 +-Applying beta-rule and splitting (840), into two cases.
% 19.79/5.16 |-Branch one:
% 19.79/5.16 | (841) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54))
% 19.79/5.16 |
% 19.79/5.16 +-Applying beta-rule and splitting (841), into two cases.
% 19.79/5.16 |-Branch one:
% 19.79/5.16 | (842) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53))
% 19.79/5.16 |
% 19.79/5.16 +-Applying beta-rule and splitting (842), into two cases.
% 19.79/5.16 |-Branch one:
% 19.79/5.16 | (843) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52))
% 19.79/5.16 |
% 19.79/5.16 +-Applying beta-rule and splitting (843), into two cases.
% 19.79/5.16 |-Branch one:
% 19.79/5.16 | (844) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51))
% 19.79/5.16 |
% 19.79/5.16 +-Applying beta-rule and splitting (844), into two cases.
% 19.79/5.16 |-Branch one:
% 19.79/5.16 | (845) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56))
% 19.79/5.17 |
% 19.79/5.17 +-Applying beta-rule and splitting (845), into two cases.
% 19.79/5.17 |-Branch one:
% 19.79/5.17 | (846) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53))
% 19.79/5.17 |
% 19.79/5.17 +-Applying beta-rule and splitting (846), into two cases.
% 19.79/5.17 |-Branch one:
% 19.79/5.17 | (847) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47))
% 19.79/5.17 |
% 19.79/5.17 +-Applying beta-rule and splitting (847), into two cases.
% 19.79/5.17 |-Branch one:
% 19.79/5.17 | (848) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55))
% 19.79/5.17 |
% 19.79/5.17 +-Applying beta-rule and splitting (848), into two cases.
% 19.79/5.17 |-Branch one:
% 19.79/5.17 | (849) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52))
% 19.79/5.17 |
% 19.79/5.17 +-Applying beta-rule and splitting (849), into two cases.
% 19.79/5.17 |-Branch one:
% 19.79/5.17 | (850) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47))
% 19.79/5.17 |
% 19.79/5.17 +-Applying beta-rule and splitting (850), into two cases.
% 19.79/5.17 |-Branch one:
% 19.79/5.17 | (851) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42))
% 19.79/5.17 |
% 19.79/5.17 +-Applying beta-rule and splitting (851), into two cases.
% 19.79/5.17 |-Branch one:
% 19.79/5.17 | (852) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54))
% 19.79/5.17 |
% 19.79/5.17 +-Applying beta-rule and splitting (852), into two cases.
% 19.79/5.17 |-Branch one:
% 19.79/5.17 | (853) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51))
% 19.79/5.17 |
% 19.79/5.17 +-Applying beta-rule and splitting (853), into two cases.
% 19.79/5.17 |-Branch one:
% 19.79/5.17 | (854) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)
% 19.79/5.17 |
% 19.79/5.17 | Applying alpha-rule on (854) yields:
% 19.79/5.17 | (855) all_0_2_2 = e4
% 19.79/5.17 | (856) ~ (all_0_1_1 = e3)
% 19.79/5.17 | (857) ~ (all_0_39_39 = all_0_42_42)
% 19.79/5.17 |
% 19.79/5.17 | Combining equations (855,3003) yields a new equation:
% 19.79/5.17 | (553) e4 = e2
% 19.79/5.17 |
% 19.79/5.17 | Simplifying 553 yields:
% 19.79/5.17 | (504) e4 = e2
% 19.79/5.17 |
% 19.79/5.17 | Equations (504) can reduce 42 to:
% 19.79/5.17 | (301) $false
% 19.79/5.17 |
% 19.79/5.17 |-The branch is then unsatisfiable
% 19.79/5.17 |-Branch two:
% 19.79/5.17 | (861) all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)
% 19.79/5.17 |
% 19.79/5.17 | Applying alpha-rule on (861) yields:
% 19.79/5.17 | (862) all_0_4_4 = e4
% 19.79/5.17 | (863) ~ (all_0_3_3 = e1)
% 19.79/5.17 | (864) ~ (all_0_40_40 = all_0_51_51)
% 19.79/5.17 |
% 19.79/5.17 | Combining equations (862,810) yields a new equation:
% 19.79/5.17 | (858) e4 = e1
% 19.79/5.17 |
% 19.79/5.17 | Simplifying 858 yields:
% 19.79/5.17 | (484) e4 = e1
% 19.79/5.17 |
% 19.79/5.17 | Equations (484) can reduce 114 to:
% 19.79/5.17 | (301) $false
% 19.79/5.17 |
% 19.79/5.17 |-The branch is then unsatisfiable
% 19.79/5.17 |-Branch two:
% 19.79/5.17 | (868) all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)
% 19.79/5.17 |
% 19.79/5.17 | Applying alpha-rule on (868) yields:
% 19.79/5.17 | (869) all_0_6_6 = e4
% 19.79/5.17 | (870) ~ (all_0_5_5 = e0)
% 19.79/5.17 | (871) ~ (all_0_41_41 = all_0_54_54)
% 19.79/5.17 |
% 19.79/5.17 | Equations (802) can reduce 870 to:
% 19.79/5.17 | (301) $false
% 19.79/5.17 |
% 19.79/5.17 |-The branch is then unsatisfiable
% 19.79/5.17 |-Branch two:
% 19.79/5.17 | (873) all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)
% 19.79/5.17 |
% 19.79/5.17 | Applying alpha-rule on (873) yields:
% 19.79/5.17 | (874) all_0_8_8 = e3
% 19.79/5.17 | (875) ~ (all_0_7_7 = e4)
% 19.79/5.17 | (857) ~ (all_0_39_39 = all_0_42_42)
% 19.79/5.17 |
% 19.79/5.17 | Combining equations (874,2254) yields a new equation:
% 19.79/5.17 | (707) e3 = e1
% 19.79/5.17 |
% 19.79/5.17 | Simplifying 707 yields:
% 19.79/5.17 | (708) e3 = e1
% 19.79/5.17 |
% 19.79/5.17 | Equations (708) can reduce 234 to:
% 19.79/5.17 | (301) $false
% 19.79/5.17 |
% 19.79/5.17 |-The branch is then unsatisfiable
% 19.79/5.17 |-Branch two:
% 19.79/5.17 | (880) all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)
% 19.79/5.17 |
% 19.79/5.17 | Applying alpha-rule on (880) yields:
% 19.79/5.17 | (881) all_0_11_11 = e3
% 19.79/5.17 | (882) ~ (all_0_10_10 = e2)
% 19.79/5.17 | (883) ~ (all_0_44_44 = all_0_47_47)
% 19.79/5.17 |
% 19.79/5.17 | Combining equations (881,2998) yields a new equation:
% 19.79/5.17 | (414) e3 = e0
% 19.79/5.17 |
% 19.79/5.17 | Simplifying 414 yields:
% 19.79/5.17 | (415) e3 = e0
% 19.79/5.17 |
% 19.79/5.17 | Equations (415) can reduce 81 to:
% 19.79/5.17 | (301) $false
% 19.79/5.17 |
% 19.79/5.17 |-The branch is then unsatisfiable
% 19.79/5.17 |-Branch two:
% 19.79/5.17 | (886) all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)
% 19.79/5.17 |
% 19.79/5.17 | Applying alpha-rule on (886) yields:
% 19.79/5.17 | (887) all_0_13_13 = e3
% 19.79/5.17 | (888) ~ (all_0_12_12 = e1)
% 19.79/5.17 | (889) ~ (all_0_45_45 = all_0_52_52)
% 19.79/5.17 |
% 19.79/5.17 | Equations (2016,455) can reduce 889 to:
% 19.79/5.17 | (301) $false
% 19.79/5.17 |
% 19.79/5.17 |-The branch is then unsatisfiable
% 19.79/5.17 |-Branch two:
% 19.79/5.17 | (893) all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)
% 19.79/5.17 |
% 19.79/5.17 | Applying alpha-rule on (893) yields:
% 19.79/5.17 | (894) all_0_15_15 = e3
% 19.79/5.17 | (895) ~ (all_0_14_14 = e0)
% 19.79/5.17 | (896) ~ (all_0_46_46 = all_0_55_55)
% 19.79/5.17 |
% 19.79/5.17 | Equations (2994) can reduce 895 to:
% 19.79/5.17 | (301) $false
% 19.79/5.17 |
% 19.79/5.17 |-The branch is then unsatisfiable
% 19.79/5.17 |-Branch two:
% 19.79/5.17 | (900) all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)
% 19.79/5.17 |
% 19.79/5.17 | Applying alpha-rule on (900) yields:
% 19.79/5.17 | (901) all_0_17_17 = e2
% 19.79/5.17 | (902) ~ (all_0_16_16 = e3)
% 19.79/5.17 | (883) ~ (all_0_44_44 = all_0_47_47)
% 19.79/5.17 |
% 19.79/5.17 | Combining equations (901,3368) yields a new equation:
% 19.79/5.17 | (352) e2 = e0
% 19.79/5.17 |
% 19.79/5.17 | Simplifying 352 yields:
% 19.79/5.17 | (345) e2 = e0
% 19.79/5.17 |
% 19.79/5.17 | Equations (345) can reduce 133 to:
% 19.79/5.17 | (301) $false
% 19.79/5.17 |
% 19.79/5.17 |-The branch is then unsatisfiable
% 19.79/5.17 |-Branch two:
% 19.79/5.17 | (906) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)
% 19.79/5.17 |
% 19.79/5.17 | Applying alpha-rule on (906) yields:
% 19.79/5.17 | (907) all_0_20_20 = e2
% 19.79/5.17 | (908) ~ (all_0_19_19 = e1)
% 19.79/5.17 | (909) ~ (all_0_49_49 = all_0_53_53)
% 19.79/5.17 |
% 19.79/5.17 | Combining equations (907,3372) yields a new equation:
% 19.79/5.17 | (352) e2 = e0
% 19.79/5.17 |
% 19.79/5.17 | Simplifying 352 yields:
% 19.79/5.17 | (345) e2 = e0
% 19.79/5.17 |
% 19.79/5.17 | Equations (345) can reduce 133 to:
% 19.79/5.17 | (301) $false
% 19.79/5.17 |
% 19.79/5.17 |-The branch is then unsatisfiable
% 19.79/5.17 |-Branch two:
% 19.79/5.17 | (912) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)
% 19.79/5.17 |
% 19.79/5.17 | Applying alpha-rule on (912) yields:
% 19.79/5.17 | (913) all_0_22_22 = e2
% 19.79/5.17 | (914) ~ (all_0_21_21 = e0)
% 19.79/5.17 | (915) ~ (all_0_50_50 = all_0_56_56)
% 19.79/5.17 |
% 19.79/5.17 | Equations (2824) can reduce 914 to:
% 19.79/5.17 | (301) $false
% 19.79/5.17 |
% 19.79/5.17 |-The branch is then unsatisfiable
% 19.79/5.17 |-Branch two:
% 19.79/5.17 | (918) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)
% 19.79/5.17 |
% 19.79/5.17 | Applying alpha-rule on (918) yields:
% 19.79/5.17 | (919) all_0_24_24 = e1
% 19.79/5.17 | (920) ~ (all_0_23_23 = e4)
% 19.79/5.17 | (864) ~ (all_0_40_40 = all_0_51_51)
% 19.79/5.17 |
% 19.79/5.17 | Combining equations (919,290) yields a new equation:
% 19.79/5.17 | (708) e3 = e1
% 19.79/5.17 |
% 19.79/5.17 | Equations (708) can reduce 234 to:
% 19.79/5.17 | (301) $false
% 19.79/5.17 |
% 19.79/5.17 |-The branch is then unsatisfiable
% 19.79/5.17 |-Branch two:
% 19.79/5.17 | (924) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)
% 19.79/5.17 |
% 19.79/5.17 | Applying alpha-rule on (924) yields:
% 19.79/5.17 | (925) all_0_26_26 = e1
% 19.79/5.17 | (926) ~ (all_0_25_25 = e3)
% 19.79/5.17 | (889) ~ (all_0_45_45 = all_0_52_52)
% 19.79/5.17 |
% 19.79/5.17 | Equations (2016,455) can reduce 889 to:
% 19.79/5.17 | (301) $false
% 19.79/5.17 |
% 19.79/5.17 |-The branch is then unsatisfiable
% 19.79/5.17 |-Branch two:
% 19.79/5.17 | (930) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)
% 19.79/5.17 |
% 19.79/5.17 | Applying alpha-rule on (930) yields:
% 19.79/5.17 | (931) all_0_28_28 = e1
% 19.79/5.17 | (932) ~ (all_0_27_27 = e2)
% 19.79/5.17 | (909) ~ (all_0_49_49 = all_0_53_53)
% 19.79/5.17 |
% 19.79/5.17 | Equations (1734) can reduce 932 to:
% 19.79/5.17 | (301) $false
% 19.79/5.17 |
% 19.79/5.17 |-The branch is then unsatisfiable
% 19.79/5.17 |-Branch two:
% 19.79/5.17 | (937) all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)
% 19.79/5.17 |
% 19.79/5.17 | Applying alpha-rule on (937) yields:
% 19.79/5.17 | (938) all_0_30_30 = e0
% 19.79/5.17 | (939) ~ (all_0_29_29 = e4)
% 19.79/5.17 | (871) ~ (all_0_41_41 = all_0_54_54)
% 19.79/5.17 |
% 19.79/5.17 | Combining equations (816,938) yields a new equation:
% 19.79/5.17 | (352) e2 = e0
% 19.79/5.17 |
% 19.79/5.17 | Simplifying 352 yields:
% 19.79/5.17 | (345) e2 = e0
% 19.79/5.17 |
% 19.79/5.17 | Equations (345) can reduce 133 to:
% 19.79/5.17 | (301) $false
% 19.79/5.17 |
% 19.79/5.17 |-The branch is then unsatisfiable
% 19.79/5.17 |-Branch two:
% 19.79/5.17 | (944) all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)
% 19.79/5.17 |
% 19.79/5.17 | Applying alpha-rule on (944) yields:
% 19.79/5.17 | (945) all_0_32_32 = e0
% 19.79/5.17 | (946) ~ (all_0_31_31 = e3)
% 19.79/5.17 | (896) ~ (all_0_46_46 = all_0_55_55)
% 19.79/5.17 |
% 19.79/5.17 | Combining equations (3345,945) yields a new equation:
% 19.79/5.17 | (316) e4 = e0
% 19.79/5.17 |
% 19.79/5.17 | Simplifying 316 yields:
% 19.79/5.17 | (317) e4 = e0
% 19.79/5.17 |
% 19.79/5.17 | Equations (317) can reduce 43 to:
% 19.79/5.17 | (301) $false
% 19.79/5.17 |
% 19.79/5.17 |-The branch is then unsatisfiable
% 19.79/5.17 |-Branch two:
% 19.79/5.17 | (949) all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)
% 19.79/5.17 |
% 19.79/5.17 | Applying alpha-rule on (949) yields:
% 19.79/5.17 | (950) all_0_34_34 = e0
% 19.79/5.17 | (951) ~ (all_0_33_33 = e2)
% 19.79/5.17 | (915) ~ (all_0_50_50 = all_0_56_56)
% 19.79/5.17 |
% 19.79/5.17 | Combining equations (3371,950) yields a new equation:
% 19.79/5.17 | (352) e2 = e0
% 19.79/5.17 |
% 19.79/5.17 | Simplifying 352 yields:
% 19.79/5.17 | (345) e2 = e0
% 19.79/5.17 |
% 19.79/5.17 | Equations (345) can reduce 133 to:
% 19.79/5.17 | (301) $false
% 19.79/5.17 |
% 19.79/5.18 |-The branch is then unsatisfiable
% 19.79/5.18 |-Branch two:
% 19.79/5.18 | (956) all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)
% 19.79/5.18 |
% 19.79/5.18 | Applying alpha-rule on (956) yields:
% 19.79/5.18 | (957) all_0_36_36 = e0
% 19.79/5.18 | (958) ~ (all_0_35_35 = e1)
% 19.79/5.18 | (726) ~ (all_0_57_57 = e1)
% 19.79/5.18 |
% 19.79/5.18 | Combining equations (3373,957) yields a new equation:
% 19.79/5.18 | (352) e2 = e0
% 19.79/5.18 |
% 19.79/5.18 | Simplifying 352 yields:
% 19.79/5.18 | (345) e2 = e0
% 19.79/5.18 |
% 19.79/5.18 | Equations (345) can reduce 133 to:
% 19.79/5.18 | (301) $false
% 19.79/5.18 |
% 19.79/5.18 |-The branch is then unsatisfiable
% 19.79/5.18 |-Branch two:
% 19.79/5.18 | (963) all_0_42_42 = e2 & ~ (all_0_44_44 = e4)
% 19.79/5.18 |
% 19.79/5.18 | Applying alpha-rule on (963) yields:
% 19.79/5.18 | (737) all_0_42_42 = e2
% 19.79/5.18 | (407) ~ (all_0_44_44 = e4)
% 19.79/5.18 |
% 19.79/5.18 | Combining equations (976,737) yields a new equation:
% 19.79/5.18 | (345) e2 = e0
% 19.79/5.18 |
% 19.79/5.18 | Equations (345) can reduce 133 to:
% 19.79/5.18 | (301) $false
% 19.79/5.18 |
% 19.79/5.18 |-The branch is then unsatisfiable
% 19.79/5.18 |-Branch two:
% 19.79/5.18 | (969) all_0_53_53 = e4 & ~ (all_0_51_51 = e2)
% 19.79/5.18 |
% 19.79/5.18 | Applying alpha-rule on (969) yields:
% 19.79/5.18 | (409) all_0_53_53 = e4
% 19.79/5.18 | (971) ~ (all_0_51_51 = e2)
% 19.79/5.18 |
% 19.79/5.18 | Equations (276) can reduce 971 to:
% 19.79/5.18 | (301) $false
% 19.79/5.18 |
% 19.79/5.18 |-The branch is then unsatisfiable
% 19.79/5.18 |-Branch two:
% 19.79/5.18 | (377) ~ (all_0_57_57 = e4)
% 19.79/5.18 | (472) all_0_57_57 = e3 | all_0_57_57 = e1
% 19.79/5.18 |
% 19.79/5.18 +-Applying beta-rule and splitting (418), into two cases.
% 19.79/5.18 |-Branch one:
% 19.79/5.18 | (419) all_0_53_53 = e3
% 19.79/5.18 |
% 19.79/5.18 | Combining equations (409,419) yields a new equation:
% 19.79/5.18 | (508) e4 = e3
% 19.79/5.18 |
% 19.79/5.18 | Simplifying 508 yields:
% 19.79/5.18 | (420) e4 = e3
% 19.79/5.18 |
% 19.79/5.18 | Equations (420) can reduce 199 to:
% 19.79/5.18 | (301) $false
% 19.79/5.18 |
% 19.79/5.18 |-The branch is then unsatisfiable
% 19.79/5.18 |-Branch two:
% 19.79/5.18 | (422) ~ (all_0_53_53 = e3)
% 19.79/5.18 | (423) all_0_56_56 = e3
% 19.79/5.18 |
% 19.79/5.18 | Equations (423) can reduce 243 to:
% 19.79/5.18 | (424) ~ (all_0_57_57 = e3)
% 19.79/5.18 |
% 19.79/5.18 | Simplifying 424 yields:
% 19.79/5.18 | (425) ~ (all_0_57_57 = e3)
% 19.79/5.18 |
% 19.79/5.18 +-Applying beta-rule and splitting (472), into two cases.
% 19.79/5.18 |-Branch one:
% 19.79/5.18 | (473) all_0_57_57 = e3
% 19.79/5.18 |
% 19.79/5.18 | Equations (473) can reduce 425 to:
% 19.79/5.18 | (301) $false
% 19.79/5.18 |
% 19.79/5.18 |-The branch is then unsatisfiable
% 19.79/5.18 |-Branch two:
% 19.79/5.18 | (425) ~ (all_0_57_57 = e3)
% 19.79/5.18 | (476) all_0_57_57 = e1
% 19.79/5.18 |
% 19.79/5.18 | Equations (476) can reduce 726 to:
% 19.79/5.18 | (301) $false
% 19.79/5.18 |
% 19.79/5.18 |-The branch is then unsatisfiable
% 19.79/5.18 |-Branch two:
% 19.79/5.18 | (522) ~ (all_0_53_53 = e4)
% 19.79/5.18 | (419) all_0_53_53 = e3
% 19.79/5.18 |
% 19.79/5.18 | Equations (419) can reduce 422 to:
% 19.79/5.18 | (301) $false
% 19.79/5.18 |
% 19.79/5.18 |-The branch is then unsatisfiable
% 19.79/5.18 |-Branch two:
% 19.79/5.18 | (497) ~ (all_0_47_47 = e4)
% 19.79/5.18 | (3048) all_0_49_49 = e4 | all_0_50_50 = e4
% 19.79/5.18 |
% 19.79/5.18 +-Applying beta-rule and splitting (3338), into two cases.
% 19.79/5.18 |-Branch one:
% 19.79/5.18 | (462) all_0_47_47 = e4
% 19.79/5.18 |
% 19.79/5.18 | Equations (462) can reduce 497 to:
% 19.79/5.18 | (301) $false
% 19.79/5.18 |
% 19.79/5.18 |-The branch is then unsatisfiable
% 19.79/5.18 |-Branch two:
% 19.79/5.18 | (497) ~ (all_0_47_47 = e4)
% 19.79/5.18 | (3530) all_0_47_47 = e1 | all_0_47_47 = e0
% 19.79/5.18 |
% 19.79/5.18 +-Applying beta-rule and splitting (3530), into two cases.
% 19.79/5.18 |-Branch one:
% 19.79/5.18 | (321) all_0_47_47 = e0
% 19.79/5.18 |
% 19.79/5.18 | Equations (321) can reduce 328 to:
% 19.79/5.18 | (301) $false
% 19.79/5.18 |
% 19.79/5.18 |-The branch is then unsatisfiable
% 19.79/5.18 |-Branch two:
% 19.79/5.18 | (328) ~ (all_0_47_47 = e0)
% 19.79/5.18 | (483) all_0_47_47 = e1
% 19.79/5.18 |
% 19.79/5.18 | Equations (483) can reduce 486 to:
% 19.79/5.18 | (301) $false
% 19.79/5.18 |
% 19.79/5.18 |-The branch is then unsatisfiable
% 19.79/5.18 |-Branch two:
% 19.79/5.18 | (506) ~ (all_0_52_52 = e3)
% 19.79/5.18 | (1031) all_0_55_55 = e3
% 19.79/5.18 |
% 19.79/5.18 | Combining equations (450,1031) yields a new equation:
% 19.79/5.18 | (573) e3 = e2
% 19.79/5.18 |
% 19.79/5.18 | Equations (573) can reduce 231 to:
% 19.79/5.18 | (301) $false
% 19.79/5.18 |
% 19.79/5.18 |-The branch is then unsatisfiable
% 19.79/5.18 |-Branch two:
% 19.79/5.18 | (365) ~ (all_0_58_58 = e0)
% 19.79/5.18 | (366) all_0_58_58 = e3
% 19.79/5.18 |
% 19.79/5.18 | Equations (366) can reduce 293 to:
% 19.79/5.18 | (301) $false
% 19.79/5.18 |
% 19.79/5.18 |-The branch is then unsatisfiable
% 20.17/5.18 |-Branch two:
% 20.17/5.18 | (680) ~ (all_0_42_42 = e0)
% 20.17/5.18 | (1978) all_0_43_43 = e0 | all_0_44_44 = e0 | all_0_46_46 = e0
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (27), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (315) all_0_38_38 = e0
% 20.17/5.18 |
% 20.17/5.18 | Combining equations (315,294) yields a new equation:
% 20.17/5.18 | (317) e4 = e0
% 20.17/5.18 |
% 20.17/5.18 | Equations (317) can reduce 43 to:
% 20.17/5.18 | (301) $false
% 20.17/5.18 |
% 20.17/5.18 |-The branch is then unsatisfiable
% 20.17/5.18 |-Branch two:
% 20.17/5.18 | (319) ~ (all_0_38_38 = e0)
% 20.17/5.18 | (342) all_0_42_42 = e0 | all_0_54_54 = e0
% 20.17/5.18 |
% 20.17/5.18 | Equations (294) can reduce 319 to:
% 20.17/5.18 | (43) ~ (e4 = e0)
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (1650), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (1651) all_0_46_46 = e0
% 20.17/5.18 |
% 20.17/5.18 | Combining equations (1056,1651) yields a new equation:
% 20.17/5.18 | (316) e4 = e0
% 20.17/5.18 |
% 20.17/5.18 | Simplifying 316 yields:
% 20.17/5.18 | (317) e4 = e0
% 20.17/5.18 |
% 20.17/5.18 | Equations (317) can reduce 43 to:
% 20.17/5.18 | (301) $false
% 20.17/5.18 |
% 20.17/5.18 |-The branch is then unsatisfiable
% 20.17/5.18 |-Branch two:
% 20.17/5.18 | (625) ~ (all_0_46_46 = e0)
% 20.17/5.18 | (1656) all_0_50_50 = e0 | all_0_58_58 = e0
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (1656), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (356) all_0_50_50 = e0
% 20.17/5.18 |
% 20.17/5.18 | Combining equations (331,356) yields a new equation:
% 20.17/5.18 | (352) e2 = e0
% 20.17/5.18 |
% 20.17/5.18 | Simplifying 352 yields:
% 20.17/5.18 | (345) e2 = e0
% 20.17/5.18 |
% 20.17/5.18 | Equations (345) can reduce 133 to:
% 20.17/5.18 | (301) $false
% 20.17/5.18 |
% 20.17/5.18 |-The branch is then unsatisfiable
% 20.17/5.18 |-Branch two:
% 20.17/5.18 | (310) ~ (all_0_50_50 = e0)
% 20.17/5.18 | (308) all_0_58_58 = e0
% 20.17/5.18 |
% 20.17/5.18 | Equations (308) can reduce 156 to:
% 20.17/5.18 | (682) ~ (all_0_54_54 = e0)
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (342), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (976) all_0_42_42 = e0
% 20.17/5.18 |
% 20.17/5.18 | Equations (976) can reduce 680 to:
% 20.17/5.18 | (301) $false
% 20.17/5.18 |
% 20.17/5.18 |-The branch is then unsatisfiable
% 20.17/5.18 |-Branch two:
% 20.17/5.18 | (680) ~ (all_0_42_42 = e0)
% 20.17/5.18 | (369) all_0_54_54 = e0
% 20.17/5.18 |
% 20.17/5.18 | Equations (369) can reduce 682 to:
% 20.17/5.18 | (301) $false
% 20.17/5.18 |
% 20.17/5.18 |-The branch is then unsatisfiable
% 20.17/5.18 |-Branch two:
% 20.17/5.18 | (261) ~ (all_0_44_44 = e2)
% 20.17/5.18 | (3570) all_0_48_48 = e2 | all_0_53_53 = e2 | all_0_56_56 = e2
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (239), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (747) all_0_44_44 = e2
% 20.17/5.18 |
% 20.17/5.18 | Equations (747) can reduce 261 to:
% 20.17/5.18 | (301) $false
% 20.17/5.18 |
% 20.17/5.18 |-The branch is then unsatisfiable
% 20.17/5.18 |-Branch two:
% 20.17/5.18 | (261) ~ (all_0_44_44 = e2)
% 20.17/5.18 | (1634) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e0
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (1634), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (403) all_0_44_44 = e4
% 20.17/5.18 |
% 20.17/5.18 | Equations (403) can reduce 407 to:
% 20.17/5.18 | (301) $false
% 20.17/5.18 |
% 20.17/5.18 |-The branch is then unsatisfiable
% 20.17/5.18 |-Branch two:
% 20.17/5.18 | (407) ~ (all_0_44_44 = e4)
% 20.17/5.18 | (1920) all_0_44_44 = e3 | all_0_44_44 = e0
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (1920), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (383) all_0_44_44 = e0
% 20.17/5.18 |
% 20.17/5.18 | Equations (383) can reduce 525 to:
% 20.17/5.18 | (301) $false
% 20.17/5.18 |
% 20.17/5.18 |-The branch is then unsatisfiable
% 20.17/5.18 |-Branch two:
% 20.17/5.18 | (525) ~ (all_0_44_44 = e0)
% 20.17/5.18 | (413) all_0_44_44 = e3
% 20.17/5.18 |
% 20.17/5.18 | Equations (413) can reduce 84 to:
% 20.17/5.18 | (68) ~ (all_0_42_42 = e3)
% 20.17/5.18 |
% 20.17/5.18 | Equations (413) can reduce 38 to:
% 20.17/5.18 | (769) ~ (all_0_45_45 = e3)
% 20.17/5.18 |
% 20.17/5.18 | Simplifying 769 yields:
% 20.17/5.18 | (770) ~ (all_0_45_45 = e3)
% 20.17/5.18 |
% 20.17/5.18 | Equations (413) can reduce 109 to:
% 20.17/5.18 | (1274) ~ (all_0_53_53 = e3)
% 20.17/5.18 |
% 20.17/5.18 | Simplifying 1274 yields:
% 20.17/5.18 | (422) ~ (all_0_53_53 = e3)
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (201), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (455) all_0_52_52 = e3
% 20.17/5.18 |
% 20.17/5.18 | Equations (455) can reduce 101 to:
% 20.17/5.18 | (49) ~ (all_0_47_47 = e3)
% 20.17/5.18 |
% 20.17/5.18 | Equations (455) can reduce 279 to:
% 20.17/5.18 | (231) ~ (e3 = e2)
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (140), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (768) all_0_40_40 = e3
% 20.17/5.18 |
% 20.17/5.18 | Combining equations (1380,768) yields a new equation:
% 20.17/5.18 | (573) e3 = e2
% 20.17/5.18 |
% 20.17/5.18 | Equations (573) can reduce 231 to:
% 20.17/5.18 | (301) $false
% 20.17/5.18 |
% 20.17/5.18 |-The branch is then unsatisfiable
% 20.17/5.18 |-Branch two:
% 20.17/5.18 | (994) ~ (all_0_40_40 = e3)
% 20.17/5.18 | (995) all_0_45_45 = e3 | all_0_57_57 = e3
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (136), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (710) ~ (all_0_43_43 = e1)
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (220), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (706) all_0_43_43 = e1
% 20.17/5.18 |
% 20.17/5.18 | Equations (706) can reduce 710 to:
% 20.17/5.18 | (301) $false
% 20.17/5.18 |
% 20.17/5.18 |-The branch is then unsatisfiable
% 20.17/5.18 |-Branch two:
% 20.17/5.18 | (710) ~ (all_0_43_43 = e1)
% 20.17/5.18 | (711) all_0_47_47 = e1 | all_0_55_55 = e1
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (711), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (483) all_0_47_47 = e1
% 20.17/5.18 |
% 20.17/5.18 | Equations (483) can reduce 93 to:
% 20.17/5.18 | (713) ~ (all_0_49_49 = e1)
% 20.17/5.18 |
% 20.17/5.18 | Simplifying 713 yields:
% 20.17/5.18 | (478) ~ (all_0_49_49 = e1)
% 20.17/5.18 |
% 20.17/5.18 | Equations (483) can reduce 49 to:
% 20.17/5.18 | (786) ~ (e3 = e1)
% 20.17/5.18 |
% 20.17/5.18 | Simplifying 786 yields:
% 20.17/5.18 | (234) ~ (e3 = e1)
% 20.17/5.18 |
% 20.17/5.18 | Equations (483) can reduce 262 to:
% 20.17/5.18 | (788) ~ (e2 = e1)
% 20.17/5.18 |
% 20.17/5.18 | Simplifying 788 yields:
% 20.17/5.18 | (122) ~ (e2 = e1)
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (219), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (764) all_0_49_49 = e2
% 20.17/5.18 |
% 20.17/5.18 | Equations (764) can reduce 264 to:
% 20.17/5.18 | (301) $false
% 20.17/5.18 |
% 20.17/5.18 |-The branch is then unsatisfiable
% 20.17/5.18 |-Branch two:
% 20.17/5.18 | (264) ~ (all_0_49_49 = e2)
% 20.17/5.18 | (767) all_0_49_49 = e4 | all_0_49_49 = e1
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (767), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (491) all_0_49_49 = e4
% 20.17/5.18 |
% 20.17/5.18 | Equations (491) can reduce 94 to:
% 20.17/5.18 | (644) ~ (all_0_57_57 = e4)
% 20.17/5.18 |
% 20.17/5.18 | Simplifying 644 yields:
% 20.17/5.18 | (377) ~ (all_0_57_57 = e4)
% 20.17/5.18 |
% 20.17/5.18 | Equations (491) can reduce 264 to:
% 20.17/5.18 | (42) ~ (e4 = e2)
% 20.17/5.18 |
% 20.17/5.18 | Equations (491) can reduce 241 to:
% 20.17/5.18 | (43) ~ (e4 = e0)
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (995), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (2016) all_0_45_45 = e3
% 20.17/5.18 |
% 20.17/5.18 | Equations (2016) can reduce 770 to:
% 20.17/5.18 | (301) $false
% 20.17/5.18 |
% 20.17/5.18 |-The branch is then unsatisfiable
% 20.17/5.18 |-Branch two:
% 20.17/5.18 | (770) ~ (all_0_45_45 = e3)
% 20.17/5.18 | (473) all_0_57_57 = e3
% 20.17/5.18 |
% 20.17/5.18 | Equations (473) can reduce 223 to:
% 20.17/5.18 | (206) ~ (all_0_54_54 = e3)
% 20.17/5.18 |
% 20.17/5.18 | Equations (473) can reduce 243 to:
% 20.17/5.18 | (596) ~ (all_0_56_56 = e3)
% 20.17/5.18 |
% 20.17/5.18 | Equations (473) can reduce 377 to:
% 20.17/5.18 | (426) ~ (e4 = e3)
% 20.17/5.18 |
% 20.17/5.18 | Simplifying 426 yields:
% 20.17/5.18 | (199) ~ (e4 = e3)
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (9), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (724) all_0_54_54 = e1
% 20.17/5.18 |
% 20.17/5.18 | Equations (724) can reduce 643 to:
% 20.17/5.18 | (479) ~ (e4 = e1)
% 20.17/5.18 |
% 20.17/5.18 | Simplifying 479 yields:
% 20.17/5.18 | (114) ~ (e4 = e1)
% 20.17/5.18 |
% 20.17/5.18 | Equations (724) can reduce 206 to:
% 20.17/5.18 | (786) ~ (e3 = e1)
% 20.17/5.18 |
% 20.17/5.18 | Simplifying 786 yields:
% 20.17/5.18 | (234) ~ (e3 = e1)
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (27), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (315) all_0_38_38 = e0
% 20.17/5.18 |
% 20.17/5.18 | Combining equations (315,294) yields a new equation:
% 20.17/5.18 | (317) e4 = e0
% 20.17/5.18 |
% 20.17/5.18 | Equations (317) can reduce 43 to:
% 20.17/5.18 | (301) $false
% 20.17/5.18 |
% 20.17/5.18 |-The branch is then unsatisfiable
% 20.17/5.18 |-Branch two:
% 20.17/5.18 | (319) ~ (all_0_38_38 = e0)
% 20.17/5.18 | (342) all_0_42_42 = e0 | all_0_54_54 = e0
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (211), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (784) all_0_45_45 = e1
% 20.17/5.18 |
% 20.17/5.18 | Equations (784) can reduce 163 to:
% 20.17/5.18 | (247) ~ (e1 = e0)
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (342), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (976) all_0_42_42 = e0
% 20.17/5.18 |
% 20.17/5.18 | Equations (976) can reduce 974 to:
% 20.17/5.18 | (311) ~ (e4 = e0)
% 20.17/5.18 |
% 20.17/5.18 | Simplifying 311 yields:
% 20.17/5.18 | (43) ~ (e4 = e0)
% 20.17/5.18 |
% 20.17/5.18 | Equations (976) can reduce 68 to:
% 20.17/5.19 | (392) ~ (e3 = e0)
% 20.17/5.19 |
% 20.17/5.19 | Simplifying 392 yields:
% 20.17/5.19 | (81) ~ (e3 = e0)
% 20.17/5.19 |
% 20.17/5.19 | Equations (976) can reduce 277 to:
% 20.17/5.19 | (313) ~ (e2 = e0)
% 20.17/5.19 |
% 20.17/5.19 | Simplifying 313 yields:
% 20.17/5.19 | (133) ~ (e2 = e0)
% 20.17/5.19 |
% 20.17/5.19 +-Applying beta-rule and splitting (3570), into two cases.
% 20.17/5.19 |-Branch one:
% 20.17/5.19 | (260) all_0_48_48 = e2
% 20.17/5.19 |
% 20.17/5.19 | Combining equations (351,260) yields a new equation:
% 20.17/5.19 | (345) e2 = e0
% 20.17/5.19 |
% 20.17/5.19 | Equations (345) can reduce 133 to:
% 20.17/5.19 | (301) $false
% 20.17/5.19 |
% 20.17/5.19 |-The branch is then unsatisfiable
% 20.17/5.19 |-Branch two:
% 20.20/5.19 | (2801) ~ (all_0_48_48 = e2)
% 20.20/5.19 | (3648) all_0_53_53 = e2 | all_0_56_56 = e2
% 20.20/5.19 |
% 20.20/5.19 | Equations (351) can reduce 2801 to:
% 20.20/5.19 | (313) ~ (e2 = e0)
% 20.20/5.19 |
% 20.20/5.19 | Simplifying 313 yields:
% 20.20/5.19 | (133) ~ (e2 = e0)
% 20.20/5.19 |
% 20.20/5.19 +-Applying beta-rule and splitting (246), into two cases.
% 20.20/5.19 |-Branch one:
% 20.20/5.19 | (654) all_0_51_51 = e4
% 20.20/5.19 |
% 20.20/5.19 | Combining equations (276,654) yields a new equation:
% 20.20/5.19 | (504) e4 = e2
% 20.20/5.19 |
% 20.20/5.19 | Equations (504) can reduce 42 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (657) ~ (all_0_51_51 = e4)
% 20.20/5.19 | (658) all_0_52_52 = e4 | all_0_53_53 = e4
% 20.20/5.19 |
% 20.20/5.19 +-Applying beta-rule and splitting (96), into two cases.
% 20.20/5.19 |-Branch one:
% 20.20/5.19 | (326) all_0_41_41 = e0
% 20.20/5.19 |
% 20.20/5.19 | Combining equations (326,564) yields a new equation:
% 20.20/5.19 | (415) e3 = e0
% 20.20/5.19 |
% 20.20/5.19 | Equations (415) can reduce 81 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (309) ~ (all_0_41_41 = e0)
% 20.20/5.19 | (1650) all_0_46_46 = e0 | all_0_50_50 = e0 | all_0_58_58 = e0
% 20.20/5.19 |
% 20.20/5.19 +-Applying beta-rule and splitting (1650), into two cases.
% 20.20/5.19 |-Branch one:
% 20.20/5.19 | (1651) all_0_46_46 = e0
% 20.20/5.19 |
% 20.20/5.19 | Combining equations (1056,1651) yields a new equation:
% 20.20/5.19 | (316) e4 = e0
% 20.20/5.19 |
% 20.20/5.19 | Simplifying 316 yields:
% 20.20/5.19 | (317) e4 = e0
% 20.20/5.19 |
% 20.20/5.19 | Equations (317) can reduce 43 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (625) ~ (all_0_46_46 = e0)
% 20.20/5.19 | (1656) all_0_50_50 = e0 | all_0_58_58 = e0
% 20.20/5.19 |
% 20.20/5.19 +-Applying beta-rule and splitting (1656), into two cases.
% 20.20/5.19 |-Branch one:
% 20.20/5.19 | (356) all_0_50_50 = e0
% 20.20/5.19 |
% 20.20/5.19 | Combining equations (356,331) yields a new equation:
% 20.20/5.19 | (345) e2 = e0
% 20.20/5.19 |
% 20.20/5.19 | Equations (345) can reduce 133 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (310) ~ (all_0_50_50 = e0)
% 20.20/5.19 | (308) all_0_58_58 = e0
% 20.20/5.19 |
% 20.20/5.19 | Equations (308) can reduce 2 to:
% 20.20/5.19 | (374) ~ (all_0_56_56 = e0)
% 20.20/5.19 |
% 20.20/5.19 +-Applying beta-rule and splitting (179), into two cases.
% 20.20/5.19 |-Branch one:
% 20.20/5.19 | (637) all_0_56_56 = e2
% 20.20/5.19 |
% 20.20/5.19 | Equations (637) can reduce 270 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (270) ~ (all_0_56_56 = e2)
% 20.20/5.19 | (640) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0
% 20.20/5.19 |
% 20.20/5.19 +-Applying beta-rule and splitting (658), into two cases.
% 20.20/5.19 |-Branch one:
% 20.20/5.19 | (499) all_0_52_52 = e4
% 20.20/5.19 |
% 20.20/5.19 | Combining equations (499,455) yields a new equation:
% 20.20/5.19 | (508) e4 = e3
% 20.20/5.19 |
% 20.20/5.19 | Simplifying 508 yields:
% 20.20/5.19 | (420) e4 = e3
% 20.20/5.19 |
% 20.20/5.19 | Equations (420) can reduce 199 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (410) ~ (all_0_52_52 = e4)
% 20.20/5.19 | (409) all_0_53_53 = e4
% 20.20/5.19 |
% 20.20/5.19 | Equations (409) can reduce 192 to:
% 20.20/5.19 | (411) ~ (all_0_56_56 = e4)
% 20.20/5.19 |
% 20.20/5.19 | Simplifying 411 yields:
% 20.20/5.19 | (376) ~ (all_0_56_56 = e4)
% 20.20/5.19 |
% 20.20/5.19 +-Applying beta-rule and splitting (640), into two cases.
% 20.20/5.19 |-Branch one:
% 20.20/5.19 | (523) all_0_56_56 = e4
% 20.20/5.19 |
% 20.20/5.19 | Equations (523) can reduce 376 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (376) ~ (all_0_56_56 = e4)
% 20.20/5.19 | (1123) all_0_56_56 = e3 | all_0_56_56 = e0
% 20.20/5.19 |
% 20.20/5.19 +-Applying beta-rule and splitting (1123), into two cases.
% 20.20/5.19 |-Branch one:
% 20.20/5.19 | (538) all_0_56_56 = e0
% 20.20/5.19 |
% 20.20/5.19 | Equations (538) can reduce 374 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (374) ~ (all_0_56_56 = e0)
% 20.20/5.19 | (423) all_0_56_56 = e3
% 20.20/5.19 |
% 20.20/5.19 | Equations (423) can reduce 596 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (680) ~ (all_0_42_42 = e0)
% 20.20/5.19 | (369) all_0_54_54 = e0
% 20.20/5.19 |
% 20.20/5.19 | Combining equations (724,369) yields a new equation:
% 20.20/5.19 | (934) e1 = e0
% 20.20/5.19 |
% 20.20/5.19 | Simplifying 934 yields:
% 20.20/5.19 | (935) e1 = e0
% 20.20/5.19 |
% 20.20/5.19 | Equations (935) can reduce 247 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (477) ~ (all_0_45_45 = e1)
% 20.20/5.19 | (982) all_0_49_49 = e1 | all_0_57_57 = e1
% 20.20/5.19 |
% 20.20/5.19 +-Applying beta-rule and splitting (982), into two cases.
% 20.20/5.19 |-Branch one:
% 20.20/5.19 | (487) all_0_49_49 = e1
% 20.20/5.19 |
% 20.20/5.19 | Combining equations (491,487) yields a new equation:
% 20.20/5.19 | (858) e4 = e1
% 20.20/5.19 |
% 20.20/5.19 | Simplifying 858 yields:
% 20.20/5.19 | (484) e4 = e1
% 20.20/5.19 |
% 20.20/5.19 | Equations (484) can reduce 114 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (478) ~ (all_0_49_49 = e1)
% 20.20/5.19 | (476) all_0_57_57 = e1
% 20.20/5.19 |
% 20.20/5.19 | Combining equations (473,476) yields a new equation:
% 20.20/5.19 | (707) e3 = e1
% 20.20/5.19 |
% 20.20/5.19 | Simplifying 707 yields:
% 20.20/5.19 | (708) e3 = e1
% 20.20/5.19 |
% 20.20/5.19 | Equations (708) can reduce 234 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (1566) ~ (all_0_54_54 = e1)
% 20.20/5.19 | (1691) all_0_55_55 = e1 | all_0_57_57 = e1
% 20.20/5.19 |
% 20.20/5.19 +-Applying beta-rule and splitting (1691), into two cases.
% 20.20/5.19 |-Branch one:
% 20.20/5.19 | (1020) all_0_55_55 = e1
% 20.20/5.19 |
% 20.20/5.19 | Combining equations (1020,450) yields a new equation:
% 20.20/5.19 | (928) e2 = e1
% 20.20/5.19 |
% 20.20/5.19 | Equations (928) can reduce 122 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (1696) ~ (all_0_55_55 = e1)
% 20.20/5.19 | (476) all_0_57_57 = e1
% 20.20/5.19 |
% 20.20/5.19 | Combining equations (476,473) yields a new equation:
% 20.20/5.19 | (708) e3 = e1
% 20.20/5.19 |
% 20.20/5.19 | Equations (708) can reduce 234 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (464) ~ (all_0_49_49 = e4)
% 20.20/5.19 | (487) all_0_49_49 = e1
% 20.20/5.19 |
% 20.20/5.19 | Equations (487) can reduce 478 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (486) ~ (all_0_47_47 = e1)
% 20.20/5.19 | (1020) all_0_55_55 = e1
% 20.20/5.19 |
% 20.20/5.19 | Combining equations (1020,450) yields a new equation:
% 20.20/5.19 | (928) e2 = e1
% 20.20/5.19 |
% 20.20/5.19 | Equations (928) can reduce 122 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (706) all_0_43_43 = e1
% 20.20/5.19 | (2016) all_0_45_45 = e3
% 20.20/5.19 |
% 20.20/5.19 | Equations (2016) can reduce 770 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (506) ~ (all_0_52_52 = e3)
% 20.20/5.19 | (419) all_0_53_53 = e3
% 20.20/5.19 |
% 20.20/5.19 | Equations (419) can reduce 422 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (729) ~ (all_0_40_40 = e2)
% 20.20/5.19 | (3733) all_0_40_40 = e4 | all_0_40_40 = e3
% 20.20/5.19 |
% 20.20/5.19 +-Applying beta-rule and splitting (3733), into two cases.
% 20.20/5.19 |-Branch one:
% 20.20/5.19 | (465) all_0_40_40 = e4
% 20.20/5.19 |
% 20.20/5.19 | Equations (465) can reduce 298 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (298) ~ (all_0_40_40 = e4)
% 20.20/5.19 | (768) all_0_40_40 = e3
% 20.20/5.19 |
% 20.20/5.19 | Equations (768) can reduce 994 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (322) ~ (all_0_39_39 = e0)
% 20.20/5.19 | (326) all_0_41_41 = e0
% 20.20/5.19 |
% 20.20/5.19 | Combining equations (564,326) yields a new equation:
% 20.20/5.19 | (414) e3 = e0
% 20.20/5.19 |
% 20.20/5.19 | Simplifying 414 yields:
% 20.20/5.19 | (415) e3 = e0
% 20.20/5.19 |
% 20.20/5.19 | Equations (415) can reduce 81 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (568) ~ (all_0_41_41 = e3)
% 20.20/5.19 | (569) all_0_46_46 = e3 | all_0_58_58 = e3
% 20.20/5.19 |
% 20.20/5.19 +-Applying beta-rule and splitting (164), into two cases.
% 20.20/5.19 |-Branch one:
% 20.20/5.19 | (300) all_0_58_58 = e2
% 20.20/5.19 |
% 20.20/5.19 | Equations (300) can reduce 274 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (274) ~ (all_0_58_58 = e2)
% 20.20/5.19 | (303) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e0
% 20.20/5.19 |
% 20.20/5.19 +-Applying beta-rule and splitting (303), into two cases.
% 20.20/5.19 |-Branch one:
% 20.20/5.19 | (304) all_0_58_58 = e4
% 20.20/5.19 |
% 20.20/5.19 | Equations (304) can reduce 299 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (299) ~ (all_0_58_58 = e4)
% 20.20/5.19 | (307) all_0_58_58 = e3 | all_0_58_58 = e0
% 20.20/5.19 |
% 20.20/5.19 +-Applying beta-rule and splitting (307), into two cases.
% 20.20/5.19 |-Branch one:
% 20.20/5.19 | (308) all_0_58_58 = e0
% 20.20/5.19 |
% 20.20/5.19 | Equations (308) can reduce 156 to:
% 20.20/5.19 | (682) ~ (all_0_54_54 = e0)
% 20.20/5.19 |
% 20.20/5.19 | Equations (308) can reduce 116 to:
% 20.20/5.19 | (372) ~ (all_0_55_55 = e0)
% 20.20/5.19 |
% 20.20/5.19 | Equations (308) can reduce 299 to:
% 20.20/5.19 | (311) ~ (e4 = e0)
% 20.20/5.19 |
% 20.20/5.19 | Simplifying 311 yields:
% 20.20/5.19 | (43) ~ (e4 = e0)
% 20.20/5.19 |
% 20.20/5.19 +-Applying beta-rule and splitting (6), into two cases.
% 20.20/5.19 |-Branch one:
% 20.20/5.19 | (323) all_0_39_39 = e0
% 20.20/5.19 |
% 20.20/5.19 | Equations (323) can reduce 296 to:
% 20.20/5.19 | (311) ~ (e4 = e0)
% 20.20/5.19 |
% 20.20/5.19 | Simplifying 311 yields:
% 20.20/5.19 | (43) ~ (e4 = e0)
% 20.20/5.19 |
% 20.20/5.19 +-Applying beta-rule and splitting (27), into two cases.
% 20.20/5.19 |-Branch one:
% 20.20/5.19 | (315) all_0_38_38 = e0
% 20.20/5.19 |
% 20.20/5.19 | Combining equations (315,294) yields a new equation:
% 20.20/5.19 | (317) e4 = e0
% 20.20/5.19 |
% 20.20/5.19 | Equations (317) can reduce 43 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (319) ~ (all_0_38_38 = e0)
% 20.20/5.19 | (342) all_0_42_42 = e0 | all_0_54_54 = e0
% 20.20/5.19 |
% 20.20/5.19 +-Applying beta-rule and splitting (342), into two cases.
% 20.20/5.19 |-Branch one:
% 20.20/5.19 | (976) all_0_42_42 = e0
% 20.20/5.19 |
% 20.20/5.19 | Equations (976) can reduce 68 to:
% 20.20/5.19 | (392) ~ (e3 = e0)
% 20.20/5.19 |
% 20.20/5.19 | Simplifying 392 yields:
% 20.20/5.19 | (81) ~ (e3 = e0)
% 20.20/5.19 |
% 20.20/5.19 +-Applying beta-rule and splitting (569), into two cases.
% 20.20/5.19 |-Branch one:
% 20.20/5.19 | (570) all_0_46_46 = e3
% 20.20/5.19 |
% 20.20/5.19 | Combining equations (1056,570) yields a new equation:
% 20.20/5.19 | (508) e4 = e3
% 20.20/5.19 |
% 20.20/5.19 | Simplifying 508 yields:
% 20.20/5.19 | (420) e4 = e3
% 20.20/5.19 |
% 20.20/5.19 | Equations (420) can reduce 199 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (583) ~ (all_0_46_46 = e3)
% 20.20/5.19 | (366) all_0_58_58 = e3
% 20.20/5.19 |
% 20.20/5.19 | Combining equations (308,366) yields a new equation:
% 20.20/5.19 | (415) e3 = e0
% 20.20/5.19 |
% 20.20/5.19 | Equations (415) can reduce 81 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (680) ~ (all_0_42_42 = e0)
% 20.20/5.19 | (369) all_0_54_54 = e0
% 20.20/5.19 |
% 20.20/5.19 | Equations (369) can reduce 682 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (322) ~ (all_0_39_39 = e0)
% 20.20/5.19 | (512) all_0_43_43 = e0 | all_0_47_47 = e0 | all_0_55_55 = e0
% 20.20/5.19 |
% 20.20/5.19 +-Applying beta-rule and splitting (27), into two cases.
% 20.20/5.19 |-Branch one:
% 20.20/5.19 | (315) all_0_38_38 = e0
% 20.20/5.19 |
% 20.20/5.19 | Combining equations (294,315) yields a new equation:
% 20.20/5.19 | (316) e4 = e0
% 20.20/5.19 |
% 20.20/5.19 | Simplifying 316 yields:
% 20.20/5.19 | (317) e4 = e0
% 20.20/5.19 |
% 20.20/5.19 | Equations (317) can reduce 43 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (319) ~ (all_0_38_38 = e0)
% 20.20/5.19 | (342) all_0_42_42 = e0 | all_0_54_54 = e0
% 20.20/5.19 |
% 20.20/5.19 +-Applying beta-rule and splitting (342), into two cases.
% 20.20/5.19 |-Branch one:
% 20.20/5.19 | (976) all_0_42_42 = e0
% 20.20/5.19 |
% 20.20/5.19 | Equations (976) can reduce 8 to:
% 20.20/5.19 | (2964) ~ (all_0_43_43 = e0)
% 20.20/5.19 |
% 20.20/5.19 | Simplifying 2964 yields:
% 20.20/5.19 | (384) ~ (all_0_43_43 = e0)
% 20.20/5.19 |
% 20.20/5.19 +-Applying beta-rule and splitting (512), into two cases.
% 20.20/5.19 |-Branch one:
% 20.20/5.19 | (513) all_0_43_43 = e0
% 20.20/5.19 |
% 20.20/5.19 | Equations (513) can reduce 384 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (384) ~ (all_0_43_43 = e0)
% 20.20/5.19 | (516) all_0_47_47 = e0 | all_0_55_55 = e0
% 20.20/5.19 |
% 20.20/5.19 +-Applying beta-rule and splitting (516), into two cases.
% 20.20/5.19 |-Branch one:
% 20.20/5.19 | (321) all_0_47_47 = e0
% 20.20/5.19 |
% 20.20/5.19 | Equations (321) can reduce 328 to:
% 20.20/5.19 | (301) $false
% 20.20/5.19 |
% 20.20/5.19 |-The branch is then unsatisfiable
% 20.20/5.19 |-Branch two:
% 20.20/5.19 | (328) ~ (all_0_47_47 = e0)
% 20.20/5.19 | (520) all_0_55_55 = e0
% 20.20/5.20 |
% 20.20/5.20 | Equations (520) can reduce 372 to:
% 20.20/5.20 | (301) $false
% 20.20/5.20 |
% 20.20/5.20 |-The branch is then unsatisfiable
% 20.20/5.20 |-Branch two:
% 20.20/5.20 | (680) ~ (all_0_42_42 = e0)
% 20.20/5.20 | (369) all_0_54_54 = e0
% 20.20/5.20 |
% 20.20/5.20 | Equations (369) can reduce 682 to:
% 20.20/5.20 | (301) $false
% 20.20/5.20 |
% 20.20/5.20 |-The branch is then unsatisfiable
% 20.20/5.20 |-Branch two:
% 20.20/5.20 | (365) ~ (all_0_58_58 = e0)
% 20.20/5.20 | (366) all_0_58_58 = e3
% 20.20/5.20 |
% 20.20/5.20 | Equations (366) can reduce 293 to:
% 20.20/5.20 | (301) $false
% 20.20/5.20 |
% 20.20/5.20 |-The branch is then unsatisfiable
% 20.20/5.20 |-Branch two:
% 20.20/5.20 | (1083) ~ (all_0_46_46 = e4)
% 20.20/5.20 | (1084) all_0_50_50 = e4 | all_0_58_58 = e4
% 20.20/5.20 |
% 20.20/5.20 +-Applying beta-rule and splitting (1084), into two cases.
% 20.20/5.20 |-Branch one:
% 20.20/5.20 | (335) all_0_50_50 = e4
% 20.20/5.20 |
% 20.20/5.20 | Combining equations (331,335) yields a new equation:
% 20.20/5.20 | (504) e4 = e2
% 20.20/5.20 |
% 20.20/5.20 | Equations (504) can reduce 42 to:
% 20.20/5.20 | (301) $false
% 20.20/5.20 |
% 20.20/5.20 |-The branch is then unsatisfiable
% 20.20/5.20 |-Branch two:
% 20.20/5.20 | (359) ~ (all_0_50_50 = e4)
% 20.20/5.20 | (304) all_0_58_58 = e4
% 20.20/5.20 |
% 20.20/5.20 | Equations (304) can reduce 299 to:
% 20.20/5.20 | (301) $false
% 20.20/5.20 |
% 20.20/5.20 |-The branch is then unsatisfiable
% 20.20/5.20 |-Branch two:
% 20.20/5.20 | (304) all_0_58_58 = e4
% 20.20/5.20 | (369) all_0_54_54 = e0
% 20.20/5.20 |
% 20.20/5.20 | Equations (304) can reduce 224 to:
% 20.20/5.20 | (1038) ~ (all_0_41_41 = e4)
% 20.20/5.20 |
% 20.20/5.20 | Equations (369) can reduce 181 to:
% 20.20/5.20 | (680) ~ (all_0_42_42 = e0)
% 20.20/5.20 |
% 20.20/5.20 | Equations (304) can reduce 184 to:
% 20.20/5.20 | (1083) ~ (all_0_46_46 = e4)
% 20.20/5.20 |
% 20.20/5.20 | Equations (369) can reduce 144 to:
% 20.20/5.20 | (371) ~ (all_0_55_55 = e0)
% 20.20/5.20 |
% 20.20/5.20 | Simplifying 371 yields:
% 20.20/5.20 | (372) ~ (all_0_55_55 = e0)
% 20.20/5.20 |
% 20.20/5.20 | Equations (369) can reduce 190 to:
% 20.20/5.20 | (373) ~ (all_0_56_56 = e0)
% 20.20/5.20 |
% 20.20/5.20 | Simplifying 373 yields:
% 20.20/5.20 | (374) ~ (all_0_56_56 = e0)
% 20.20/5.20 |
% 20.20/5.20 | Equations (304) can reduce 116 to:
% 20.20/5.20 | (375) ~ (all_0_55_55 = e4)
% 20.20/5.20 |
% 20.20/5.20 | Equations (304) can reduce 2 to:
% 20.20/5.20 | (376) ~ (all_0_56_56 = e4)
% 20.20/5.20 |
% 20.20/5.20 | Equations (304) can reduce 274 to:
% 20.20/5.20 | (42) ~ (e4 = e2)
% 20.20/5.20 |
% 20.20/5.20 +-Applying beta-rule and splitting (186), into two cases.
% 20.20/5.20 |-Branch one:
% 20.20/5.20 | (979) all_0_42_42 = e1
% 20.20/5.20 |
% 20.20/5.20 | Equations (979) can reduce 8 to:
% 20.20/5.20 | (1213) ~ (all_0_43_43 = e1)
% 20.20/5.20 |
% 20.20/5.20 | Simplifying 1213 yields:
% 20.20/5.20 | (710) ~ (all_0_43_43 = e1)
% 20.20/5.20 |
% 20.20/5.20 | Equations (979) can reduce 84 to:
% 20.20/5.20 | (3830) ~ (all_0_44_44 = e1)
% 20.20/5.20 |
% 20.20/5.20 | Simplifying 3830 yields:
% 20.20/5.20 | (55) ~ (all_0_44_44 = e1)
% 20.20/5.20 |
% 20.20/5.20 | Equations (979) can reduce 208 to:
% 20.20/5.20 | (3832) ~ (all_0_45_45 = e1)
% 20.20/5.20 |
% 20.20/5.20 | Simplifying 3832 yields:
% 20.20/5.20 | (477) ~ (all_0_45_45 = e1)
% 20.20/5.20 |
% 20.20/5.20 | Equations (979) can reduce 974 to:
% 20.20/5.20 | (479) ~ (e4 = e1)
% 20.20/5.20 |
% 20.20/5.20 | Simplifying 479 yields:
% 20.20/5.20 | (114) ~ (e4 = e1)
% 20.20/5.20 |
% 20.20/5.20 | Equations (979) can reduce 680 to:
% 20.20/5.20 | (247) ~ (e1 = e0)
% 20.20/5.20 |
% 20.20/5.20 | From (979) and (159) follows:
% 20.20/5.20 | (1567) op(e1, e4) = all_0_8_8
% 20.20/5.20 |
% 20.20/5.20 | From (979) and (105) follows:
% 20.20/5.20 | (1568) op(e1, e3) = all_0_7_7
% 20.20/5.20 |
% 20.20/5.20 | From (979) and (45) follows:
% 20.20/5.20 | (3839) op(e3, e4) = e1
% 20.20/5.20 |
% 20.20/5.20 | Instantiating formula (151) with e1, e4, all_0_8_8, e2 and discharging atoms op(e1, e4) = all_0_8_8, op(e1, e4) = e2, yields:
% 20.20/5.20 | (1730) all_0_8_8 = e2
% 20.20/5.20 |
% 20.20/5.20 | Instantiating formula (151) with e1, e3, all_0_7_7, all_0_52_52 and discharging atoms op(e1, e3) = all_0_7_7, op(e1, e3) = all_0_52_52, yields:
% 20.20/5.20 | (3841) all_0_7_7 = all_0_52_52
% 20.20/5.20 |
% 20.20/5.20 | From (3841) and (1568) follows:
% 20.20/5.20 | (107) op(e1, e3) = all_0_52_52
% 20.20/5.20 |
% 20.20/5.20 +-Applying beta-rule and splitting (13), into two cases.
% 20.20/5.20 |-Branch one:
% 20.20/5.20 | (384) ~ (all_0_43_43 = e0)
% 20.20/5.20 |
% 20.20/5.20 +-Applying beta-rule and splitting (30), into two cases.
% 20.20/5.20 |-Branch one:
% 20.20/5.20 | (976) all_0_42_42 = e0
% 20.20/5.20 |
% 20.20/5.20 | Combining equations (979,976) yields a new equation:
% 20.20/5.20 | (934) e1 = e0
% 20.20/5.20 |
% 20.20/5.20 | Simplifying 934 yields:
% 20.20/5.20 | (935) e1 = e0
% 20.20/5.20 |
% 20.20/5.20 | Equations (935) can reduce 247 to:
% 20.20/5.20 | (301) $false
% 20.20/5.20 |
% 20.20/5.20 |-The branch is then unsatisfiable
% 20.20/5.20 |-Branch two:
% 20.20/5.20 | (680) ~ (all_0_42_42 = e0)
% 20.20/5.20 | (1978) all_0_43_43 = e0 | all_0_44_44 = e0 | all_0_46_46 = e0
% 20.20/5.20 |
% 20.20/5.20 +-Applying beta-rule and splitting (1978), into two cases.
% 20.20/5.20 |-Branch one:
% 20.20/5.20 | (513) all_0_43_43 = e0
% 20.20/5.20 |
% 20.20/5.20 | Equations (513) can reduce 384 to:
% 20.20/5.20 | (301) $false
% 20.20/5.20 |
% 20.20/5.20 |-The branch is then unsatisfiable
% 20.20/5.20 |-Branch two:
% 20.20/5.20 | (384) ~ (all_0_43_43 = e0)
% 20.20/5.20 | (1990) all_0_44_44 = e0 | all_0_46_46 = e0
% 20.20/5.20 |
% 20.20/5.20 +-Applying beta-rule and splitting (1990), into two cases.
% 20.20/5.20 |-Branch one:
% 20.20/5.20 | (383) all_0_44_44 = e0
% 20.20/5.20 |
% 20.20/5.20 | Equations (383) can reduce 525 to:
% 20.20/5.20 | (301) $false
% 20.20/5.20 |
% 20.20/5.20 |-The branch is then unsatisfiable
% 20.20/5.20 |-Branch two:
% 20.20/5.20 | (525) ~ (all_0_44_44 = e0)
% 20.20/5.20 | (1651) all_0_46_46 = e0
% 20.20/5.20 |
% 20.20/5.20 | Equations (1651) can reduce 174 to:
% 20.20/5.20 | (384) ~ (all_0_43_43 = e0)
% 20.20/5.20 |
% 20.20/5.20 | Equations (1651) can reduce 575 to:
% 20.20/5.20 | (313) ~ (e2 = e0)
% 20.20/5.20 |
% 20.20/5.20 | Simplifying 313 yields:
% 20.20/5.20 | (133) ~ (e2 = e0)
% 20.20/5.20 |
% 20.20/5.20 +-Applying beta-rule and splitting (6), into two cases.
% 20.20/5.20 |-Branch one:
% 20.20/5.20 | (323) all_0_39_39 = e0
% 20.20/5.20 |
% 20.20/5.20 | Equations (323) can reduce 31 to:
% 20.20/5.20 | (677) ~ (all_0_40_40 = e0)
% 20.20/5.20 |
% 20.20/5.20 | Simplifying 677 yields:
% 20.20/5.20 | (171) ~ (all_0_40_40 = e0)
% 20.20/5.20 |
% 20.20/5.20 | Equations (323) can reduce 11 to:
% 20.20/5.20 | (1572) ~ (all_0_41_41 = e0)
% 20.20/5.20 |
% 20.20/5.20 | Simplifying 1572 yields:
% 20.20/5.20 | (309) ~ (all_0_41_41 = e0)
% 20.20/5.20 |
% 20.20/5.20 | Equations (323) can reduce 155 to:
% 20.20/5.20 | (2964) ~ (all_0_43_43 = e0)
% 20.20/5.20 |
% 20.20/5.20 | Simplifying 2964 yields:
% 20.20/5.20 | (384) ~ (all_0_43_43 = e0)
% 20.20/5.20 |
% 20.20/5.20 | Equations (323) can reduce 296 to:
% 20.20/5.20 | (311) ~ (e4 = e0)
% 20.20/5.20 |
% 20.20/5.20 | Simplifying 311 yields:
% 20.20/5.20 | (43) ~ (e4 = e0)
% 20.20/5.20 |
% 20.20/5.20 | Equations (323) can reduce 67 to:
% 20.20/5.20 | (685) ~ (e1 = e0)
% 20.20/5.20 |
% 20.20/5.20 | Simplifying 685 yields:
% 20.20/5.20 | (247) ~ (e1 = e0)
% 20.20/5.20 |
% 20.20/5.20 +-Applying beta-rule and splitting (146), into two cases.
% 20.20/5.20 |-Branch one:
% 20.20/5.20 | (552) all_0_41_41 = e2
% 20.20/5.20 |
% 20.20/5.20 | Equations (552) can reduce 556 to:
% 20.20/5.20 | (301) $false
% 20.20/5.20 |
% 20.20/5.20 |-The branch is then unsatisfiable
% 20.20/5.20 |-Branch two:
% 20.20/5.20 | (556) ~ (all_0_41_41 = e2)
% 20.20/5.20 | (3875) all_0_41_41 = e4 | all_0_41_41 = e3 | all_0_41_41 = e0
% 20.20/5.20 |
% 20.20/5.20 +-Applying beta-rule and splitting (3875), into two cases.
% 20.20/5.20 |-Branch one:
% 20.20/5.20 | (545) all_0_41_41 = e4
% 20.20/5.20 |
% 20.20/5.20 | Equations (545) can reduce 1038 to:
% 20.20/5.20 | (301) $false
% 20.20/5.20 |
% 20.20/5.20 |-The branch is then unsatisfiable
% 20.20/5.20 |-Branch two:
% 20.20/5.20 | (1038) ~ (all_0_41_41 = e4)
% 20.20/5.20 | (3879) all_0_41_41 = e3 | all_0_41_41 = e0
% 20.20/5.20 |
% 20.20/5.20 +-Applying beta-rule and splitting (3879), into two cases.
% 20.20/5.20 |-Branch one:
% 20.20/5.20 | (326) all_0_41_41 = e0
% 20.20/5.20 |
% 20.20/5.20 | Equations (326) can reduce 309 to:
% 20.20/5.20 | (301) $false
% 20.20/5.20 |
% 20.20/5.20 |-The branch is then unsatisfiable
% 20.20/5.20 |-Branch two:
% 20.20/5.20 | (309) ~ (all_0_41_41 = e0)
% 20.20/5.20 | (564) all_0_41_41 = e3
% 20.20/5.20 |
% 20.20/5.20 | Equations (564) can reduce 556 to:
% 20.20/5.20 | (231) ~ (e3 = e2)
% 20.20/5.20 |
% 20.20/5.20 +-Applying beta-rule and splitting (204), into two cases.
% 20.20/5.20 |-Branch one:
% 20.20/5.20 | (439) all_0_43_43 = e2
% 20.20/5.20 |
% 20.20/5.20 | Equations (439) can reduce 275 to:
% 20.20/5.20 | (301) $false
% 20.20/5.20 |
% 20.20/5.20 |-The branch is then unsatisfiable
% 20.20/5.20 |-Branch two:
% 20.20/5.20 | (275) ~ (all_0_43_43 = e2)
% 20.20/5.20 | (1227) all_0_43_43 = e3 | all_0_43_43 = e1 | all_0_43_43 = e0
% 20.20/5.20 |
% 20.20/5.20 +-Applying beta-rule and splitting (53), into two cases.
% 20.20/5.20 |-Branch one:
% 20.20/5.20 | (344) all_0_39_39 = e2
% 20.20/5.20 |
% 20.20/5.20 | Combining equations (323,344) yields a new equation:
% 20.20/5.20 | (345) e2 = e0
% 20.20/5.20 |
% 20.20/5.20 | Equations (345) can reduce 133 to:
% 20.20/5.20 | (301) $false
% 20.20/5.20 |
% 20.20/5.20 |-The branch is then unsatisfiable
% 20.20/5.20 |-Branch two:
% 20.20/5.20 | (347) ~ (all_0_39_39 = e2)
% 20.20/5.20 | (1211) all_0_40_40 = e2 | all_0_41_41 = e2
% 20.20/5.20 |
% 20.20/5.20 +-Applying beta-rule and splitting (254), into two cases.
% 20.20/5.20 |-Branch one:
% 20.20/5.20 | (1380) all_0_40_40 = e2
% 20.20/5.20 |
% 20.20/5.20 | Equations (1380) can reduce 108 to:
% 20.20/5.20 | (2443) ~ (all_0_45_45 = e2)
% 20.20/5.20 |
% 20.20/5.20 | Simplifying 2443 yields:
% 20.20/5.20 | (730) ~ (all_0_45_45 = e2)
% 20.20/5.20 |
% 20.20/5.20 | Equations (1380) can reduce 15 to:
% 20.20/5.20 | (451) ~ (all_0_57_57 = e2)
% 20.20/5.20 |
% 20.20/5.20 | Simplifying 451 yields:
% 20.20/5.20 | (452) ~ (all_0_57_57 = e2)
% 20.20/5.20 |
% 20.20/5.20 | Equations (1380) can reduce 134 to:
% 20.20/5.20 | (122) ~ (e2 = e1)
% 20.20/5.20 |
% 20.20/5.20 | Equations (1380) can reduce 171 to:
% 20.20/5.20 | (133) ~ (e2 = e0)
% 20.20/5.20 |
% 20.20/5.20 +-Applying beta-rule and splitting (1227), into two cases.
% 20.20/5.20 |-Branch one:
% 20.20/5.20 | (513) all_0_43_43 = e0
% 20.20/5.20 |
% 20.20/5.20 | Equations (513) can reduce 384 to:
% 20.20/5.20 | (301) $false
% 20.20/5.20 |
% 20.20/5.20 |-The branch is then unsatisfiable
% 20.20/5.20 |-Branch two:
% 20.20/5.20 | (384) ~ (all_0_43_43 = e0)
% 20.20/5.20 | (1231) all_0_43_43 = e3 | all_0_43_43 = e1
% 20.20/5.20 |
% 20.20/5.20 +-Applying beta-rule and splitting (1231), into two cases.
% 20.20/5.20 |-Branch one:
% 20.20/5.20 | (700) all_0_43_43 = e3
% 20.20/5.20 |
% 20.20/5.20 | Equations (700) can reduce 72 to:
% 20.20/5.20 | (769) ~ (all_0_45_45 = e3)
% 20.20/5.20 |
% 20.20/5.20 | Simplifying 769 yields:
% 20.20/5.20 | (770) ~ (all_0_45_45 = e3)
% 20.20/5.20 |
% 20.20/5.20 | Equations (700) can reduce 240 to:
% 20.20/5.20 | (3066) ~ (all_0_52_52 = e3)
% 20.20/5.20 |
% 20.20/5.20 | Simplifying 3066 yields:
% 20.20/5.20 | (506) ~ (all_0_52_52 = e3)
% 20.20/5.20 |
% 20.20/5.20 | Equations (700) can reduce 16 to:
% 20.20/5.20 | (3910) ~ (all_0_55_55 = e3)
% 20.20/5.20 |
% 20.26/5.20 | Simplifying 3910 yields:
% 20.26/5.20 | (1935) ~ (all_0_55_55 = e3)
% 20.26/5.20 |
% 20.26/5.20 +-Applying beta-rule and splitting (201), into two cases.
% 20.26/5.20 |-Branch one:
% 20.26/5.20 | (455) all_0_52_52 = e3
% 20.26/5.20 |
% 20.26/5.20 | Equations (455) can reduce 506 to:
% 20.26/5.20 | (301) $false
% 20.26/5.20 |
% 20.26/5.20 |-The branch is then unsatisfiable
% 20.26/5.20 |-Branch two:
% 20.26/5.20 | (506) ~ (all_0_52_52 = e3)
% 20.26/5.20 | (419) all_0_53_53 = e3
% 20.26/5.20 |
% 20.26/5.20 | Equations (419) can reduce 60 to:
% 20.26/5.20 | (506) ~ (all_0_52_52 = e3)
% 20.26/5.20 |
% 20.26/5.20 | Equations (419) can reduce 192 to:
% 20.26/5.20 | (3917) ~ (all_0_56_56 = e3)
% 20.26/5.20 |
% 20.26/5.20 | Simplifying 3917 yields:
% 20.26/5.20 | (596) ~ (all_0_56_56 = e3)
% 20.26/5.20 |
% 20.26/5.20 | Equations (419) can reduce 104 to:
% 20.26/5.20 | (234) ~ (e3 = e1)
% 20.26/5.20 |
% 20.26/5.20 +-Applying beta-rule and splitting (168), into two cases.
% 20.26/5.20 |-Branch one:
% 20.26/5.20 | (447) all_0_52_52 = e2
% 20.26/5.20 |
% 20.26/5.20 | Equations (447) can reduce 279 to:
% 20.26/5.20 | (301) $false
% 20.26/5.20 |
% 20.26/5.20 |-The branch is then unsatisfiable
% 20.26/5.20 |-Branch two:
% 20.26/5.20 | (279) ~ (all_0_52_52 = e2)
% 20.26/5.20 | (1680) all_0_52_52 = e4 | all_0_52_52 = e3
% 20.26/5.20 |
% 20.26/5.20 +-Applying beta-rule and splitting (160), into two cases.
% 20.26/5.20 |-Branch one:
% 20.26/5.20 | (752) all_0_45_45 = e2
% 20.26/5.20 |
% 20.26/5.20 | Equations (752) can reduce 730 to:
% 20.26/5.20 | (301) $false
% 20.26/5.20 |
% 20.26/5.20 |-The branch is then unsatisfiable
% 20.26/5.20 |-Branch two:
% 20.26/5.20 | (730) ~ (all_0_45_45 = e2)
% 20.26/5.20 | (2552) all_0_45_45 = e4 | all_0_45_45 = e3 | all_0_45_45 = e1
% 20.26/5.20 |
% 20.26/5.20 +-Applying beta-rule and splitting (21), into two cases.
% 20.26/5.20 |-Branch one:
% 20.26/5.20 | (403) all_0_44_44 = e4
% 20.26/5.20 |
% 20.26/5.20 | Equations (403) can reduce 38 to:
% 20.26/5.21 | (2540) ~ (all_0_45_45 = e4)
% 20.26/5.21 |
% 20.26/5.21 | Simplifying 2540 yields:
% 20.26/5.21 | (489) ~ (all_0_45_45 = e4)
% 20.26/5.21 |
% 20.26/5.21 +-Applying beta-rule and splitting (2552), into two cases.
% 20.26/5.21 |-Branch one:
% 20.26/5.21 | (481) all_0_45_45 = e4
% 20.26/5.21 |
% 20.26/5.21 | Equations (481) can reduce 489 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (489) ~ (all_0_45_45 = e4)
% 20.26/5.21 | (2556) all_0_45_45 = e3 | all_0_45_45 = e1
% 20.26/5.21 |
% 20.26/5.21 +-Applying beta-rule and splitting (1680), into two cases.
% 20.26/5.21 |-Branch one:
% 20.26/5.21 | (499) all_0_52_52 = e4
% 20.26/5.21 |
% 20.26/5.21 | Equations (499) can reduce 101 to:
% 20.26/5.21 | (497) ~ (all_0_47_47 = e4)
% 20.26/5.21 |
% 20.26/5.21 | Equations (499) can reduce 279 to:
% 20.26/5.21 | (42) ~ (e4 = e2)
% 20.26/5.21 |
% 20.26/5.21 | Equations (499) can reduce 70 to:
% 20.26/5.21 | (114) ~ (e4 = e1)
% 20.26/5.21 |
% 20.26/5.21 +-Applying beta-rule and splitting (176), into two cases.
% 20.26/5.21 |-Branch one:
% 20.26/5.21 | (462) all_0_47_47 = e4
% 20.26/5.21 |
% 20.26/5.21 | Equations (462) can reduce 497 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (497) ~ (all_0_47_47 = e4)
% 20.26/5.21 | (3048) all_0_49_49 = e4 | all_0_50_50 = e4
% 20.26/5.21 |
% 20.26/5.21 +-Applying beta-rule and splitting (121), into two cases.
% 20.26/5.21 |-Branch one:
% 20.26/5.21 | (747) all_0_44_44 = e2
% 20.26/5.21 |
% 20.26/5.21 | Combining equations (747,403) yields a new equation:
% 20.26/5.21 | (504) e4 = e2
% 20.26/5.21 |
% 20.26/5.21 | Equations (504) can reduce 42 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (261) ~ (all_0_44_44 = e2)
% 20.26/5.21 | (3570) all_0_48_48 = e2 | all_0_53_53 = e2 | all_0_56_56 = e2
% 20.26/5.21 |
% 20.26/5.21 | Equations (403) can reduce 261 to:
% 20.26/5.21 | (42) ~ (e4 = e2)
% 20.26/5.21 |
% 20.26/5.21 +-Applying beta-rule and splitting (3048), into two cases.
% 20.26/5.21 |-Branch one:
% 20.26/5.21 | (491) all_0_49_49 = e4
% 20.26/5.21 |
% 20.26/5.21 +-Applying beta-rule and splitting (211), into two cases.
% 20.26/5.21 |-Branch one:
% 20.26/5.21 | (784) all_0_45_45 = e1
% 20.26/5.21 |
% 20.26/5.21 | Equations (784) can reduce 477 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (477) ~ (all_0_45_45 = e1)
% 20.26/5.21 | (982) all_0_49_49 = e1 | all_0_57_57 = e1
% 20.26/5.21 |
% 20.26/5.21 +-Applying beta-rule and splitting (982), into two cases.
% 20.26/5.21 |-Branch one:
% 20.26/5.21 | (487) all_0_49_49 = e1
% 20.26/5.21 |
% 20.26/5.21 | Combining equations (491,487) yields a new equation:
% 20.26/5.21 | (858) e4 = e1
% 20.26/5.21 |
% 20.26/5.21 | Simplifying 858 yields:
% 20.26/5.21 | (484) e4 = e1
% 20.26/5.21 |
% 20.26/5.21 | Equations (484) can reduce 114 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (478) ~ (all_0_49_49 = e1)
% 20.26/5.21 | (476) all_0_57_57 = e1
% 20.26/5.21 |
% 20.26/5.21 | Equations (476) can reduce 75 to:
% 20.26/5.21 | (477) ~ (all_0_45_45 = e1)
% 20.26/5.21 |
% 20.26/5.21 +-Applying beta-rule and splitting (2556), into two cases.
% 20.26/5.21 |-Branch one:
% 20.26/5.21 | (2016) all_0_45_45 = e3
% 20.26/5.21 |
% 20.26/5.21 | Equations (2016) can reduce 770 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (770) ~ (all_0_45_45 = e3)
% 20.26/5.21 | (784) all_0_45_45 = e1
% 20.26/5.21 |
% 20.26/5.21 | Equations (784) can reduce 477 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (464) ~ (all_0_49_49 = e4)
% 20.26/5.21 | (335) all_0_50_50 = e4
% 20.26/5.21 |
% 20.26/5.21 | Combining equations (335,331) yields a new equation:
% 20.26/5.21 | (553) e4 = e2
% 20.26/5.21 |
% 20.26/5.21 | Simplifying 553 yields:
% 20.26/5.21 | (504) e4 = e2
% 20.26/5.21 |
% 20.26/5.21 | Equations (504) can reduce 42 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (410) ~ (all_0_52_52 = e4)
% 20.26/5.21 | (455) all_0_52_52 = e3
% 20.26/5.21 |
% 20.26/5.21 | Equations (455) can reduce 506 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (407) ~ (all_0_44_44 = e4)
% 20.26/5.21 | (408) all_0_53_53 = e4 | all_0_56_56 = e4
% 20.26/5.21 |
% 20.26/5.21 +-Applying beta-rule and splitting (179), into two cases.
% 20.26/5.21 |-Branch one:
% 20.26/5.21 | (637) all_0_56_56 = e2
% 20.26/5.21 |
% 20.26/5.21 +-Applying beta-rule and splitting (1680), into two cases.
% 20.26/5.21 |-Branch one:
% 20.26/5.21 | (499) all_0_52_52 = e4
% 20.26/5.21 |
% 20.26/5.21 | Equations (499) can reduce 506 to:
% 20.26/5.21 | (199) ~ (e4 = e3)
% 20.26/5.21 |
% 20.26/5.21 | Equations (499) can reduce 279 to:
% 20.26/5.21 | (42) ~ (e4 = e2)
% 20.26/5.21 |
% 20.26/5.21 +-Applying beta-rule and splitting (408), into two cases.
% 20.26/5.21 |-Branch one:
% 20.26/5.21 | (409) all_0_53_53 = e4
% 20.26/5.21 |
% 20.26/5.21 | Combining equations (419,409) yields a new equation:
% 20.26/5.21 | (420) e4 = e3
% 20.26/5.21 |
% 20.26/5.21 | Equations (420) can reduce 199 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (522) ~ (all_0_53_53 = e4)
% 20.26/5.21 | (523) all_0_56_56 = e4
% 20.26/5.21 |
% 20.26/5.21 | Combining equations (637,523) yields a new equation:
% 20.26/5.21 | (504) e4 = e2
% 20.26/5.21 |
% 20.26/5.21 | Equations (504) can reduce 42 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (410) ~ (all_0_52_52 = e4)
% 20.26/5.21 | (455) all_0_52_52 = e3
% 20.26/5.21 |
% 20.26/5.21 | Equations (455) can reduce 506 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (270) ~ (all_0_56_56 = e2)
% 20.26/5.21 | (640) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0
% 20.26/5.21 |
% 20.26/5.21 +-Applying beta-rule and splitting (91), into two cases.
% 20.26/5.21 |-Branch one:
% 20.26/5.21 | (794) all_0_42_42 = e4
% 20.26/5.21 |
% 20.26/5.21 | Combining equations (979,794) yields a new equation:
% 20.26/5.21 | (484) e4 = e1
% 20.26/5.21 |
% 20.26/5.21 | Equations (484) can reduce 114 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (974) ~ (all_0_42_42 = e4)
% 20.26/5.21 | (3996) all_0_44_44 = e4 | all_0_45_45 = e4 | all_0_46_46 = e4
% 20.26/5.21 |
% 20.26/5.21 +-Applying beta-rule and splitting (89), into two cases.
% 20.26/5.21 |-Branch one:
% 20.26/5.21 | (600) all_0_54_54 = e2
% 20.26/5.21 |
% 20.26/5.21 | Combining equations (600,369) yields a new equation:
% 20.26/5.21 | (352) e2 = e0
% 20.26/5.21 |
% 20.26/5.21 | Simplifying 352 yields:
% 20.26/5.21 | (345) e2 = e0
% 20.26/5.21 |
% 20.26/5.21 | Equations (345) can reduce 133 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (283) ~ (all_0_54_54 = e2)
% 20.26/5.21 | (603) all_0_55_55 = e2 | all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2
% 20.26/5.21 |
% 20.26/5.21 +-Applying beta-rule and splitting (3996), into two cases.
% 20.26/5.21 |-Branch one:
% 20.26/5.21 | (403) all_0_44_44 = e4
% 20.26/5.21 |
% 20.26/5.21 | Equations (403) can reduce 407 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (407) ~ (all_0_44_44 = e4)
% 20.26/5.21 | (4006) all_0_45_45 = e4 | all_0_46_46 = e4
% 20.26/5.21 |
% 20.26/5.21 +-Applying beta-rule and splitting (4006), into two cases.
% 20.26/5.21 |-Branch one:
% 20.26/5.21 | (481) all_0_45_45 = e4
% 20.26/5.21 |
% 20.26/5.21 | Equations (481) can reduce 770 to:
% 20.26/5.21 | (199) ~ (e4 = e3)
% 20.26/5.21 |
% 20.26/5.21 | Equations (481) can reduce 730 to:
% 20.26/5.21 | (42) ~ (e4 = e2)
% 20.26/5.21 |
% 20.26/5.21 +-Applying beta-rule and splitting (603), into two cases.
% 20.26/5.21 |-Branch one:
% 20.26/5.21 | (450) all_0_55_55 = e2
% 20.26/5.21 |
% 20.26/5.21 | Equations (450) can reduce 1935 to:
% 20.26/5.21 | (284) ~ (e3 = e2)
% 20.26/5.21 |
% 20.26/5.21 | Simplifying 284 yields:
% 20.26/5.21 | (231) ~ (e3 = e2)
% 20.26/5.21 |
% 20.26/5.21 +-Applying beta-rule and splitting (132), into two cases.
% 20.26/5.21 |-Branch one:
% 20.26/5.21 | (1031) all_0_55_55 = e3
% 20.26/5.21 |
% 20.26/5.21 | Combining equations (450,1031) yields a new equation:
% 20.26/5.21 | (573) e3 = e2
% 20.26/5.21 |
% 20.26/5.21 | Equations (573) can reduce 231 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (1935) ~ (all_0_55_55 = e3)
% 20.26/5.21 | (1936) all_0_56_56 = e3 | all_0_57_57 = e3 | all_0_58_58 = e3
% 20.26/5.21 |
% 20.26/5.21 +-Applying beta-rule and splitting (1936), into two cases.
% 20.26/5.21 |-Branch one:
% 20.26/5.21 | (423) all_0_56_56 = e3
% 20.26/5.21 |
% 20.26/5.21 | Equations (423) can reduce 596 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (596) ~ (all_0_56_56 = e3)
% 20.26/5.21 | (1941) all_0_57_57 = e3 | all_0_58_58 = e3
% 20.26/5.21 |
% 20.26/5.21 +-Applying beta-rule and splitting (1941), into two cases.
% 20.26/5.21 |-Branch one:
% 20.26/5.21 | (473) all_0_57_57 = e3
% 20.26/5.21 |
% 20.26/5.21 +-Applying beta-rule and splitting (9), into two cases.
% 20.26/5.21 |-Branch one:
% 20.26/5.21 | (724) all_0_54_54 = e1
% 20.26/5.21 |
% 20.26/5.21 | Combining equations (369,724) yields a new equation:
% 20.26/5.21 | (935) e1 = e0
% 20.26/5.21 |
% 20.26/5.21 | Equations (935) can reduce 247 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (1566) ~ (all_0_54_54 = e1)
% 20.26/5.21 | (1691) all_0_55_55 = e1 | all_0_57_57 = e1
% 20.26/5.21 |
% 20.26/5.21 +-Applying beta-rule and splitting (1691), into two cases.
% 20.26/5.21 |-Branch one:
% 20.26/5.21 | (1020) all_0_55_55 = e1
% 20.26/5.21 |
% 20.26/5.21 | Combining equations (450,1020) yields a new equation:
% 20.26/5.21 | (1250) e2 = e1
% 20.26/5.21 |
% 20.26/5.21 | Simplifying 1250 yields:
% 20.26/5.21 | (928) e2 = e1
% 20.26/5.21 |
% 20.26/5.21 | Equations (928) can reduce 122 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (1696) ~ (all_0_55_55 = e1)
% 20.26/5.21 | (476) all_0_57_57 = e1
% 20.26/5.21 |
% 20.26/5.21 | Combining equations (473,476) yields a new equation:
% 20.26/5.21 | (707) e3 = e1
% 20.26/5.21 |
% 20.26/5.21 | Simplifying 707 yields:
% 20.26/5.21 | (708) e3 = e1
% 20.26/5.21 |
% 20.26/5.21 | Equations (708) can reduce 234 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (425) ~ (all_0_57_57 = e3)
% 20.26/5.21 | (366) all_0_58_58 = e3
% 20.26/5.21 |
% 20.26/5.21 | Combining equations (366,304) yields a new equation:
% 20.26/5.21 | (420) e4 = e3
% 20.26/5.21 |
% 20.26/5.21 | Equations (420) can reduce 199 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (1140) ~ (all_0_55_55 = e2)
% 20.26/5.21 | (1141) all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2
% 20.26/5.21 |
% 20.26/5.21 +-Applying beta-rule and splitting (1141), into two cases.
% 20.26/5.21 |-Branch one:
% 20.26/5.21 | (637) all_0_56_56 = e2
% 20.26/5.21 |
% 20.26/5.21 | Equations (637) can reduce 270 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (270) ~ (all_0_56_56 = e2)
% 20.26/5.21 | (1449) all_0_57_57 = e2 | all_0_58_58 = e2
% 20.26/5.21 |
% 20.26/5.21 +-Applying beta-rule and splitting (1449), into two cases.
% 20.26/5.21 |-Branch one:
% 20.26/5.21 | (458) all_0_57_57 = e2
% 20.26/5.21 |
% 20.26/5.21 | Equations (458) can reduce 452 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (452) ~ (all_0_57_57 = e2)
% 20.26/5.21 | (300) all_0_58_58 = e2
% 20.26/5.21 |
% 20.26/5.21 | Combining equations (304,300) yields a new equation:
% 20.26/5.21 | (553) e4 = e2
% 20.26/5.21 |
% 20.26/5.21 | Simplifying 553 yields:
% 20.26/5.21 | (504) e4 = e2
% 20.26/5.21 |
% 20.26/5.21 | Equations (504) can reduce 42 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (489) ~ (all_0_45_45 = e4)
% 20.26/5.21 | (1056) all_0_46_46 = e4
% 20.26/5.21 |
% 20.26/5.21 | Combining equations (1651,1056) yields a new equation:
% 20.26/5.21 | (317) e4 = e0
% 20.26/5.21 |
% 20.26/5.21 | Equations (317) can reduce 43 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (1024) ~ (all_0_43_43 = e3)
% 20.26/5.21 | (706) all_0_43_43 = e1
% 20.26/5.21 |
% 20.26/5.21 | Equations (706) can reduce 710 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (729) ~ (all_0_40_40 = e2)
% 20.26/5.21 | (3733) all_0_40_40 = e4 | all_0_40_40 = e3
% 20.26/5.21 |
% 20.26/5.21 +-Applying beta-rule and splitting (1211), into two cases.
% 20.26/5.21 |-Branch one:
% 20.26/5.21 | (1380) all_0_40_40 = e2
% 20.26/5.21 |
% 20.26/5.21 | Equations (1380) can reduce 729 to:
% 20.26/5.21 | (301) $false
% 20.26/5.21 |
% 20.26/5.21 |-The branch is then unsatisfiable
% 20.26/5.21 |-Branch two:
% 20.26/5.21 | (729) ~ (all_0_40_40 = e2)
% 20.26/5.21 | (552) all_0_41_41 = e2
% 20.31/5.21 |
% 20.31/5.21 | Combining equations (564,552) yields a new equation:
% 20.31/5.21 | (572) e3 = e2
% 20.31/5.21 |
% 20.31/5.21 | Simplifying 572 yields:
% 20.31/5.21 | (573) e3 = e2
% 20.31/5.21 |
% 20.31/5.21 | Equations (573) can reduce 231 to:
% 20.31/5.21 | (301) $false
% 20.31/5.21 |
% 20.31/5.21 |-The branch is then unsatisfiable
% 20.31/5.22 |-Branch two:
% 20.31/5.22 | (322) ~ (all_0_39_39 = e0)
% 20.31/5.22 | (512) all_0_43_43 = e0 | all_0_47_47 = e0 | all_0_55_55 = e0
% 20.31/5.22 |
% 20.31/5.22 +-Applying beta-rule and splitting (512), into two cases.
% 20.31/5.22 |-Branch one:
% 20.31/5.22 | (513) all_0_43_43 = e0
% 20.31/5.22 |
% 20.31/5.22 | Equations (513) can reduce 384 to:
% 20.31/5.22 | (301) $false
% 20.31/5.22 |
% 20.31/5.22 |-The branch is then unsatisfiable
% 20.31/5.22 |-Branch two:
% 20.31/5.22 | (384) ~ (all_0_43_43 = e0)
% 20.31/5.22 | (516) all_0_47_47 = e0 | all_0_55_55 = e0
% 20.31/5.22 |
% 20.31/5.22 +-Applying beta-rule and splitting (516), into two cases.
% 20.31/5.22 |-Branch one:
% 20.31/5.22 | (321) all_0_47_47 = e0
% 20.31/5.22 |
% 20.31/5.22 | Equations (321) can reduce 328 to:
% 20.31/5.22 | (301) $false
% 20.31/5.22 |
% 20.31/5.22 |-The branch is then unsatisfiable
% 20.31/5.22 |-Branch two:
% 20.31/5.22 | (328) ~ (all_0_47_47 = e0)
% 20.31/5.22 | (520) all_0_55_55 = e0
% 20.31/5.22 |
% 20.31/5.22 | Equations (520) can reduce 372 to:
% 20.31/5.22 | (301) $false
% 20.31/5.22 |
% 20.31/5.22 |-The branch is then unsatisfiable
% 20.31/5.22 |-Branch two:
% 20.31/5.22 | (513) all_0_43_43 = e0
% 20.31/5.22 | (570) all_0_46_46 = e3
% 20.31/5.22 |
% 20.31/5.22 | Equations (570) can reduce 126 to:
% 20.31/5.22 | (568) ~ (all_0_41_41 = e3)
% 20.31/5.22 |
% 20.31/5.22 | Equations (513) can reduce 77 to:
% 20.31/5.22 | (4084) ~ (all_0_44_44 = e0)
% 20.31/5.22 |
% 20.31/5.22 | Simplifying 4084 yields:
% 20.31/5.22 | (525) ~ (all_0_44_44 = e0)
% 20.31/5.22 |
% 20.31/5.22 | Equations (513) can reduce 16 to:
% 20.31/5.22 | (371) ~ (all_0_55_55 = e0)
% 20.31/5.22 |
% 20.31/5.22 | Simplifying 371 yields:
% 20.31/5.22 | (372) ~ (all_0_55_55 = e0)
% 20.31/5.22 |
% 20.31/5.22 | Equations (570) can reduce 18 to:
% 20.31/5.22 | (417) ~ (all_0_44_44 = e3)
% 20.31/5.22 |
% 20.31/5.22 | Equations (570) can reduce 34 to:
% 20.31/5.22 | (770) ~ (all_0_45_45 = e3)
% 20.31/5.22 |
% 20.31/5.22 | Equations (570) can reduce 1083 to:
% 20.31/5.22 | (426) ~ (e4 = e3)
% 20.31/5.22 |
% 20.31/5.22 | Simplifying 426 yields:
% 20.31/5.22 | (199) ~ (e4 = e3)
% 20.31/5.22 |
% 20.31/5.22 | From (570) and (183) follows:
% 20.31/5.22 | (4092) op(e3, e0) = all_0_15_15
% 20.31/5.22 |
% 20.31/5.22 | From (570) and (212) follows:
% 20.31/5.22 | (4093) op(e3, e0) = e3
% 20.31/5.22 |
% 20.31/5.22 +-Applying beta-rule and splitting (146), into two cases.
% 20.31/5.22 |-Branch one:
% 20.31/5.22 | (552) all_0_41_41 = e2
% 20.31/5.22 |
% 20.31/5.22 | Equations (552) can reduce 556 to:
% 20.31/5.22 | (301) $false
% 20.31/5.22 |
% 20.31/5.22 |-The branch is then unsatisfiable
% 20.31/5.22 |-Branch two:
% 20.31/5.22 | (556) ~ (all_0_41_41 = e2)
% 20.31/5.22 | (3875) all_0_41_41 = e4 | all_0_41_41 = e3 | all_0_41_41 = e0
% 20.31/5.22 |
% 20.31/5.22 +-Applying beta-rule and splitting (96), into two cases.
% 20.31/5.22 |-Branch one:
% 20.31/5.22 | (326) all_0_41_41 = e0
% 20.31/5.22 |
% 20.31/5.22 | Equations (326) can reduce 11 to:
% 20.31/5.22 | (322) ~ (all_0_39_39 = e0)
% 20.31/5.22 |
% 20.31/5.22 | Equations (326) can reduce 111 to:
% 20.31/5.22 | (171) ~ (all_0_40_40 = e0)
% 20.31/5.22 |
% 20.31/5.22 | Instantiating formula (151) with e3, e0, e3, all_0_15_15 and discharging atoms op(e3, e0) = all_0_15_15, op(e3, e0) = e3, yields:
% 20.31/5.22 | (894) all_0_15_15 = e3
% 20.31/5.22 |
% 20.31/5.22 | From (894) and (4092) follows:
% 20.31/5.22 | (4093) op(e3, e0) = e3
% 20.31/5.22 |
% 20.31/5.22 +-Applying beta-rule and splitting (201), into two cases.
% 20.31/5.22 |-Branch one:
% 20.31/5.22 | (455) all_0_52_52 = e3
% 20.31/5.22 |
% 20.31/5.22 | Equations (455) can reduce 129 to:
% 20.31/5.22 | (698) ~ (all_0_39_39 = e3)
% 20.31/5.22 |
% 20.31/5.22 | Equations (455) can reduce 101 to:
% 20.31/5.22 | (49) ~ (all_0_47_47 = e3)
% 20.31/5.22 |
% 20.31/5.22 | Equations (455) can reduce 60 to:
% 20.31/5.22 | (1274) ~ (all_0_53_53 = e3)
% 20.31/5.22 |
% 20.31/5.22 | Simplifying 1274 yields:
% 20.31/5.22 | (422) ~ (all_0_53_53 = e3)
% 20.31/5.22 |
% 20.31/5.22 | From (455) and (107) follows:
% 20.31/5.22 | (2084) op(e1, e3) = e3
% 20.31/5.22 |
% 20.31/5.22 +-Applying beta-rule and splitting (246), into two cases.
% 20.31/5.22 |-Branch one:
% 20.31/5.22 | (654) all_0_51_51 = e4
% 20.31/5.22 |
% 20.31/5.22 | Combining equations (654,276) yields a new equation:
% 20.31/5.22 | (553) e4 = e2
% 20.31/5.22 |
% 20.31/5.22 | Simplifying 553 yields:
% 20.31/5.22 | (504) e4 = e2
% 20.31/5.22 |
% 20.31/5.22 | Equations (504) can reduce 42 to:
% 20.31/5.22 | (301) $false
% 20.31/5.22 |
% 20.31/5.22 |-The branch is then unsatisfiable
% 20.31/5.22 |-Branch two:
% 20.31/5.22 | (657) ~ (all_0_51_51 = e4)
% 20.31/5.22 | (658) all_0_52_52 = e4 | all_0_53_53 = e4
% 20.31/5.22 |
% 20.31/5.22 +-Applying beta-rule and splitting (658), into two cases.
% 20.31/5.22 |-Branch one:
% 20.31/5.22 | (499) all_0_52_52 = e4
% 20.31/5.22 |
% 20.31/5.22 | Combining equations (499,455) yields a new equation:
% 20.31/5.22 | (508) e4 = e3
% 20.31/5.22 |
% 20.31/5.22 | Simplifying 508 yields:
% 20.31/5.22 | (420) e4 = e3
% 20.31/5.22 |
% 20.31/5.22 | Equations (420) can reduce 199 to:
% 20.31/5.22 | (301) $false
% 20.31/5.22 |
% 20.31/5.22 |-The branch is then unsatisfiable
% 20.31/5.22 |-Branch two:
% 20.31/5.22 | (410) ~ (all_0_52_52 = e4)
% 20.31/5.22 | (409) all_0_53_53 = e4
% 20.31/5.22 |
% 20.31/5.22 | Equations (409) can reduce 109 to:
% 20.31/5.22 | (407) ~ (all_0_44_44 = e4)
% 20.31/5.22 |
% 20.31/5.22 | Equations (409) can reduce 192 to:
% 20.31/5.22 | (411) ~ (all_0_56_56 = e4)
% 20.31/5.22 |
% 20.31/5.22 | Simplifying 411 yields:
% 20.31/5.22 | (376) ~ (all_0_56_56 = e4)
% 20.31/5.22 |
% 20.31/5.22 | Equations (409) can reduce 422 to:
% 20.31/5.22 | (199) ~ (e4 = e3)
% 20.31/5.22 |
% 20.31/5.22 | From (409) and (99) follows:
% 20.31/5.22 | (4125) op(e1, e2) = e4
% 20.31/5.22 |
% 20.31/5.22 +-Applying beta-rule and splitting (230), into two cases.
% 20.31/5.22 |-Branch one:
% 20.31/5.22 | (413) all_0_44_44 = e3
% 20.31/5.22 |
% 20.31/5.22 | Equations (413) can reduce 417 to:
% 20.31/5.22 | (301) $false
% 20.31/5.22 |
% 20.31/5.22 |-The branch is then unsatisfiable
% 20.31/5.22 |-Branch two:
% 20.31/5.22 | (417) ~ (all_0_44_44 = e3)
% 20.31/5.22 | (418) all_0_53_53 = e3 | all_0_56_56 = e3
% 20.31/5.22 |
% 20.31/5.22 +-Applying beta-rule and splitting (418), into two cases.
% 20.31/5.22 |-Branch one:
% 20.31/5.22 | (419) all_0_53_53 = e3
% 20.31/5.22 |
% 20.31/5.22 | Combining equations (419,409) yields a new equation:
% 20.31/5.22 | (420) e4 = e3
% 20.31/5.22 |
% 20.31/5.22 | Equations (420) can reduce 199 to:
% 20.31/5.22 | (301) $false
% 20.31/5.22 |
% 20.31/5.22 |-The branch is then unsatisfiable
% 20.31/5.22 |-Branch two:
% 20.31/5.22 | (422) ~ (all_0_53_53 = e3)
% 20.31/5.22 | (423) all_0_56_56 = e3
% 20.31/5.22 |
% 20.31/5.22 | Equations (423) can reduce 124 to:
% 20.31/5.22 | (417) ~ (all_0_44_44 = e3)
% 20.31/5.22 |
% 20.31/5.22 | Equations (423) can reduce 243 to:
% 20.31/5.22 | (424) ~ (all_0_57_57 = e3)
% 20.31/5.22 |
% 20.31/5.22 | Simplifying 424 yields:
% 20.31/5.22 | (425) ~ (all_0_57_57 = e3)
% 20.31/5.22 |
% 20.31/5.22 | Equations (423) can reduce 376 to:
% 20.31/5.22 | (426) ~ (e4 = e3)
% 20.31/5.22 |
% 20.31/5.22 | Simplifying 426 yields:
% 20.31/5.22 | (199) ~ (e4 = e3)
% 20.31/5.22 |
% 20.31/5.22 | From (423) and (202) follows:
% 20.31/5.22 | (3367) op(e3, e2) = all_0_34_34
% 20.31/5.22 |
% 20.31/5.22 | From (423) and (197) follows:
% 20.31/5.22 | (4141) op(e3, e0) = all_0_33_33
% 20.31/5.22 |
% 20.31/5.22 | From (423) and (182) follows:
% 20.31/5.22 | (4142) op(e0, e2) = e3
% 20.31/5.22 |
% 20.31/5.22 +-Applying beta-rule and splitting (83), into two cases.
% 20.31/5.22 |-Branch one:
% 20.31/5.22 | (428) all_0_39_39 = e4
% 20.31/5.22 |
% 20.31/5.22 | Equations (428) can reduce 296 to:
% 20.31/5.22 | (301) $false
% 20.31/5.22 |
% 20.31/5.22 |-The branch is then unsatisfiable
% 20.31/5.22 |-Branch two:
% 20.31/5.22 | (296) ~ (all_0_39_39 = e4)
% 20.31/5.22 | (431) all_0_47_47 = e4 | all_0_52_52 = e4 | all_0_55_55 = e4
% 20.31/5.22 |
% 20.31/5.22 +-Applying beta-rule and splitting (431), into two cases.
% 20.31/5.22 |-Branch one:
% 20.31/5.22 | (462) all_0_47_47 = e4
% 20.31/5.22 |
% 20.31/5.22 | Equations (462) can reduce 157 to:
% 20.31/5.22 | (296) ~ (all_0_39_39 = e4)
% 20.31/5.22 |
% 20.31/5.22 | Equations (462) can reduce 93 to:
% 20.31/5.22 | (463) ~ (all_0_49_49 = e4)
% 20.31/5.22 |
% 20.31/5.22 | Simplifying 463 yields:
% 20.31/5.22 | (464) ~ (all_0_49_49 = e4)
% 20.31/5.22 |
% 20.31/5.22 | Equations (462) can reduce 49 to:
% 20.31/5.22 | (199) ~ (e4 = e3)
% 20.31/5.22 |
% 20.31/5.22 | From (462) and (62) follows:
% 20.31/5.22 | (4152) op(e2, e3) = e4
% 20.31/5.22 |
% 20.31/5.22 +-Applying beta-rule and splitting (219), into two cases.
% 20.31/5.22 |-Branch one:
% 20.31/5.22 | (764) all_0_49_49 = e2
% 20.31/5.22 |
% 20.31/5.22 | Equations (764) can reduce 264 to:
% 20.31/5.22 | (301) $false
% 20.31/5.22 |
% 20.31/5.22 |-The branch is then unsatisfiable
% 20.31/5.22 |-Branch two:
% 20.31/5.22 | (264) ~ (all_0_49_49 = e2)
% 20.31/5.22 | (767) all_0_49_49 = e4 | all_0_49_49 = e1
% 20.31/5.22 |
% 20.31/5.22 +-Applying beta-rule and splitting (767), into two cases.
% 20.31/5.22 |-Branch one:
% 20.31/5.22 | (491) all_0_49_49 = e4
% 20.31/5.22 |
% 20.31/5.22 | Equations (491) can reduce 464 to:
% 20.31/5.22 | (301) $false
% 20.31/5.22 |
% 20.31/5.22 |-The branch is then unsatisfiable
% 20.31/5.22 |-Branch two:
% 20.31/5.22 | (464) ~ (all_0_49_49 = e4)
% 20.31/5.22 | (487) all_0_49_49 = e1
% 20.31/5.22 |
% 20.31/5.22 | Equations (487) can reduce 94 to:
% 20.31/5.22 | (725) ~ (all_0_57_57 = e1)
% 20.31/5.22 |
% 20.31/5.22 | Simplifying 725 yields:
% 20.31/5.22 | (726) ~ (all_0_57_57 = e1)
% 20.31/5.22 |
% 20.31/5.22 | Equations (487) can reduce 464 to:
% 20.31/5.22 | (479) ~ (e4 = e1)
% 20.31/5.22 |
% 20.31/5.22 | Simplifying 479 yields:
% 20.31/5.22 | (114) ~ (e4 = e1)
% 20.31/5.22 |
% 20.31/5.22 | Equations (487) can reduce 241 to:
% 20.31/5.22 | (247) ~ (e1 = e0)
% 20.31/5.22 |
% 20.31/5.22 | From (487) and (127) follows:
% 20.31/5.22 | (4166) op(e1, e2) = all_0_19_19
% 20.31/5.22 |
% 20.31/5.22 | From (487) and (193) follows:
% 20.31/5.22 | (2664) op(e2, e1) = e1
% 20.31/5.22 |
% 20.31/5.22 +-Applying beta-rule and splitting (239), into two cases.
% 20.31/5.22 |-Branch one:
% 20.31/5.22 | (747) all_0_44_44 = e2
% 20.31/5.22 |
% 20.31/5.22 | Equations (747) can reduce 407 to:
% 20.31/5.22 | (271) ~ (e4 = e2)
% 20.31/5.22 |
% 20.31/5.22 | Simplifying 271 yields:
% 20.31/5.22 | (42) ~ (e4 = e2)
% 20.31/5.22 |
% 20.31/5.22 | From (747) and (130) follows:
% 20.31/5.22 | (2950) op(e2, e3) = all_0_10_10
% 20.31/5.22 |
% 20.31/5.22 | From (747) and (165) follows:
% 20.31/5.22 | (2690) op(e3, e2) = e2
% 20.31/5.22 |
% 20.31/5.22 +-Applying beta-rule and splitting (91), into two cases.
% 20.31/5.22 |-Branch one:
% 20.31/5.22 | (794) all_0_42_42 = e4
% 20.31/5.22 |
% 20.31/5.22 | Combining equations (979,794) yields a new equation:
% 20.31/5.22 | (484) e4 = e1
% 20.31/5.22 |
% 20.31/5.22 | Equations (484) can reduce 114 to:
% 20.31/5.22 | (301) $false
% 20.31/5.22 |
% 20.31/5.22 |-The branch is then unsatisfiable
% 20.31/5.22 |-Branch two:
% 20.31/5.22 | (974) ~ (all_0_42_42 = e4)
% 20.31/5.22 | (3996) all_0_44_44 = e4 | all_0_45_45 = e4 | all_0_46_46 = e4
% 20.31/5.22 |
% 20.31/5.22 +-Applying beta-rule and splitting (9), into two cases.
% 20.31/5.22 |-Branch one:
% 20.31/5.22 | (724) all_0_54_54 = e1
% 20.31/5.22 |
% 20.31/5.22 | Combining equations (724,369) yields a new equation:
% 20.31/5.22 | (934) e1 = e0
% 20.31/5.22 |
% 20.31/5.22 | Simplifying 934 yields:
% 20.31/5.22 | (935) e1 = e0
% 20.31/5.22 |
% 20.31/5.22 | Equations (935) can reduce 247 to:
% 20.31/5.22 | (301) $false
% 20.31/5.22 |
% 20.31/5.22 |-The branch is then unsatisfiable
% 20.31/5.22 |-Branch two:
% 20.31/5.22 | (1566) ~ (all_0_54_54 = e1)
% 20.31/5.22 | (1691) all_0_55_55 = e1 | all_0_57_57 = e1
% 20.31/5.22 |
% 20.31/5.22 +-Applying beta-rule and splitting (3996), into two cases.
% 20.31/5.22 |-Branch one:
% 20.31/5.22 | (403) all_0_44_44 = e4
% 20.31/5.22 |
% 20.31/5.22 | Combining equations (747,403) yields a new equation:
% 20.31/5.22 | (504) e4 = e2
% 20.31/5.22 |
% 20.31/5.22 | Equations (504) can reduce 42 to:
% 20.31/5.22 | (301) $false
% 20.31/5.22 |
% 20.31/5.22 |-The branch is then unsatisfiable
% 20.31/5.22 |-Branch two:
% 20.31/5.22 | (407) ~ (all_0_44_44 = e4)
% 20.31/5.22 | (4006) all_0_45_45 = e4 | all_0_46_46 = e4
% 20.31/5.22 |
% 20.31/5.23 +-Applying beta-rule and splitting (4006), into two cases.
% 20.31/5.23 |-Branch one:
% 20.31/5.23 | (481) all_0_45_45 = e4
% 20.31/5.23 |
% 20.31/5.23 | Equations (481) can reduce 770 to:
% 20.31/5.23 | (199) ~ (e4 = e3)
% 20.31/5.23 |
% 20.31/5.23 +-Applying beta-rule and splitting (1691), into two cases.
% 20.31/5.23 |-Branch one:
% 20.31/5.23 | (1020) all_0_55_55 = e1
% 20.31/5.23 |
% 20.31/5.23 | Equations (1020) can reduce 250 to:
% 20.31/5.23 | (67) ~ (all_0_39_39 = e1)
% 20.31/5.23 |
% 20.31/5.23 | Equations (1020) can reduce 20 to:
% 20.31/5.23 | (725) ~ (all_0_57_57 = e1)
% 20.31/5.23 |
% 20.31/5.23 | Simplifying 725 yields:
% 20.31/5.23 | (726) ~ (all_0_57_57 = e1)
% 20.31/5.23 |
% 20.31/5.23 | Equations (1020) can reduce 372 to:
% 20.31/5.23 | (247) ~ (e1 = e0)
% 20.31/5.23 |
% 20.31/5.23 | From (1020) and (97) follows:
% 20.31/5.23 | (4196) op(e1, e3) = all_0_32_32
% 20.31/5.23 |
% 20.31/5.23 | From (1020) and (41) follows:
% 20.31/5.23 | (4197) op(e0, e3) = e1
% 20.31/5.23 |
% 20.31/5.23 +-Applying beta-rule and splitting (244), into two cases.
% 20.31/5.23 |-Branch one:
% 20.31/5.23 | (344) all_0_39_39 = e2
% 20.31/5.23 |
% 20.31/5.23 | Equations (344) can reduce 31 to:
% 20.31/5.23 | (4199) ~ (all_0_40_40 = e2)
% 20.31/5.23 |
% 20.31/5.23 | Simplifying 4199 yields:
% 20.31/5.23 | (729) ~ (all_0_40_40 = e2)
% 20.31/5.23 |
% 20.31/5.23 | Equations (344) can reduce 296 to:
% 20.31/5.23 | (271) ~ (e4 = e2)
% 20.31/5.23 |
% 20.31/5.23 | Simplifying 271 yields:
% 20.31/5.23 | (42) ~ (e4 = e2)
% 20.31/5.23 |
% 20.31/5.23 | Equations (344) can reduce 67 to:
% 20.31/5.23 | (122) ~ (e2 = e1)
% 20.31/5.23 |
% 20.31/5.23 | From (344) and (82) follows:
% 20.31/5.23 | (4204) op(e2, e4) = all_0_1_1
% 20.31/5.23 |
% 20.31/5.23 | From (344) and (112) follows:
% 20.31/5.23 | (670) op(e2, e3) = all_0_2_2
% 20.31/5.23 |
% 20.31/5.23 +-Applying beta-rule and splitting (169), into two cases.
% 20.31/5.23 |-Branch one:
% 20.31/5.23 | (1380) all_0_40_40 = e2
% 20.31/5.23 |
% 20.31/5.23 | Equations (1380) can reduce 729 to:
% 20.31/5.23 | (301) $false
% 20.31/5.23 |
% 20.31/5.23 |-The branch is then unsatisfiable
% 20.31/5.23 |-Branch two:
% 20.31/5.23 | (729) ~ (all_0_40_40 = e2)
% 20.31/5.23 | (2741) all_0_45_45 = e2 | all_0_49_49 = e2 | all_0_57_57 = e2
% 20.31/5.23 |
% 20.31/5.23 +-Applying beta-rule and splitting (2741), into two cases.
% 20.31/5.23 |-Branch one:
% 20.31/5.23 | (752) all_0_45_45 = e2
% 20.31/5.23 |
% 20.31/5.23 | Combining equations (481,752) yields a new equation:
% 20.31/5.23 | (553) e4 = e2
% 20.31/5.23 |
% 20.31/5.23 | Simplifying 553 yields:
% 20.31/5.23 | (504) e4 = e2
% 20.31/5.23 |
% 20.31/5.23 | Equations (504) can reduce 42 to:
% 20.31/5.23 | (301) $false
% 20.31/5.23 |
% 20.31/5.23 |-The branch is then unsatisfiable
% 20.31/5.23 |-Branch two:
% 20.31/5.23 | (730) ~ (all_0_45_45 = e2)
% 20.31/5.23 | (2747) all_0_49_49 = e2 | all_0_57_57 = e2
% 20.31/5.23 |
% 20.31/5.23 +-Applying beta-rule and splitting (2747), into two cases.
% 20.31/5.23 |-Branch one:
% 20.31/5.23 | (764) all_0_49_49 = e2
% 20.31/5.23 |
% 20.31/5.23 | Combining equations (487,764) yields a new equation:
% 20.31/5.23 | (928) e2 = e1
% 20.31/5.23 |
% 20.31/5.23 | Equations (928) can reduce 122 to:
% 20.31/5.23 | (301) $false
% 20.31/5.23 |
% 20.31/5.23 |-The branch is then unsatisfiable
% 20.31/5.23 |-Branch two:
% 20.31/5.23 | (264) ~ (all_0_49_49 = e2)
% 20.31/5.23 | (458) all_0_57_57 = e2
% 20.31/5.23 |
% 20.31/5.23 | Equations (458) can reduce 425 to:
% 20.31/5.23 | (284) ~ (e3 = e2)
% 20.31/5.23 |
% 20.31/5.23 | Simplifying 284 yields:
% 20.31/5.23 | (231) ~ (e3 = e2)
% 20.31/5.23 |
% 20.31/5.23 | Equations (458) can reduce 726 to:
% 20.31/5.23 | (122) ~ (e2 = e1)
% 20.31/5.23 |
% 20.31/5.23 | From (458) and (73) follows:
% 20.31/5.23 | (735) op(e2, e1) = all_0_36_36
% 20.31/5.23 |
% 20.31/5.23 | From (458) and (172) follows:
% 20.31/5.23 | (4225) op(e0, e1) = e2
% 20.31/5.23 |
% 20.31/5.23 +-Applying beta-rule and splitting (140), into two cases.
% 20.31/5.23 |-Branch one:
% 20.31/5.23 | (768) all_0_40_40 = e3
% 20.31/5.23 |
% 20.31/5.23 | From (768) and (54) follows:
% 20.31/5.23 | (4227) op(e3, e4) = all_0_3_3
% 20.31/5.23 |
% 20.31/5.23 | Instantiating formula (151) with e3, e4, all_0_3_3, e1 and discharging atoms op(e3, e4) = all_0_3_3, op(e3, e4) = e1, yields:
% 20.31/5.23 | (4228) all_0_3_3 = e1
% 20.31/5.23 |
% 20.31/5.23 | Instantiating formula (151) with e3, e2, e2, all_0_34_34 and discharging atoms op(e3, e2) = all_0_34_34, op(e3, e2) = e2, yields:
% 20.31/5.23 | (3371) all_0_34_34 = e2
% 20.31/5.23 |
% 20.31/5.23 | Instantiating formula (151) with e3, e0, all_0_33_33, e3 and discharging atoms op(e3, e0) = all_0_33_33, op(e3, e0) = e3, yields:
% 20.31/5.23 | (4230) all_0_33_33 = e3
% 20.31/5.23 |
% 20.31/5.23 | Instantiating formula (151) with e2, e4, all_0_1_1, e3 and discharging atoms op(e2, e4) = all_0_1_1, op(e2, e4) = e3, yields:
% 20.31/5.23 | (4231) all_0_1_1 = e3
% 20.31/5.23 |
% 20.31/5.23 | Instantiating formula (151) with e2, e3, all_0_10_10, all_0_2_2 and discharging atoms op(e2, e3) = all_0_2_2, op(e2, e3) = all_0_10_10, yields:
% 20.31/5.23 | (4232) all_0_2_2 = all_0_10_10
% 20.31/5.23 |
% 20.31/5.23 | Instantiating formula (151) with e2, e3, e4, all_0_2_2 and discharging atoms op(e2, e3) = all_0_2_2, op(e2, e3) = e4, yields:
% 20.31/5.23 | (855) all_0_2_2 = e4
% 20.31/5.23 |
% 20.31/5.23 | Instantiating formula (151) with e2, e1, e1, all_0_36_36 and discharging atoms op(e2, e1) = all_0_36_36, op(e2, e1) = e1, yields:
% 20.31/5.23 | (2257) all_0_36_36 = e1
% 20.31/5.23 |
% 20.31/5.23 | Instantiating formula (151) with e1, e3, e3, all_0_32_32 and discharging atoms op(e1, e3) = all_0_32_32, op(e1, e3) = e3, yields:
% 20.31/5.23 | (4235) all_0_32_32 = e3
% 20.31/5.23 |
% 20.31/5.23 | Instantiating formula (151) with e1, e2, e4, all_0_19_19 and discharging atoms op(e1, e2) = all_0_19_19, op(e1, e2) = e4, yields:
% 20.31/5.23 | (4236) all_0_19_19 = e4
% 20.31/5.23 |
% 20.31/5.23 | Combining equations (855,4232) yields a new equation:
% 20.31/5.23 | (4237) all_0_10_10 = e4
% 20.31/5.23 |
% 20.31/5.23 | From (4228) and (4227) follows:
% 20.31/5.23 | (3839) op(e3, e4) = e1
% 20.31/5.23 |
% 20.31/5.23 | From (3371) and (3367) follows:
% 20.31/5.23 | (2690) op(e3, e2) = e2
% 20.31/5.23 |
% 20.31/5.23 | From (4230) and (4141) follows:
% 20.31/5.23 | (4093) op(e3, e0) = e3
% 20.31/5.23 |
% 20.31/5.23 | From (4231) and (4204) follows:
% 20.31/5.23 | (215) op(e2, e4) = e3
% 20.31/5.23 |
% 20.31/5.23 | From (4237) and (2950) follows:
% 20.31/5.23 | (4152) op(e2, e3) = e4
% 20.31/5.23 |
% 20.31/5.23 | From (2257) and (735) follows:
% 20.31/5.23 | (2664) op(e2, e1) = e1
% 20.31/5.23 |
% 20.31/5.23 | From (4235) and (4196) follows:
% 20.31/5.23 | (2084) op(e1, e3) = e3
% 20.31/5.23 |
% 20.31/5.23 | From (4236) and (4166) follows:
% 20.31/5.23 | (4125) op(e1, e2) = e4
% 20.31/5.23 |
% 20.31/5.23 +-Applying beta-rule and splitting (51), into two cases.
% 20.31/5.23 |-Branch one:
% 20.31/5.23 | (2662) unit = e2
% 20.31/5.23 |
% 20.31/5.23 | From (2662) and (237) follows:
% 20.31/5.23 | (4247) op(e2, e3) = e3
% 20.31/5.23 |
% 20.31/5.23 | From (2662) and (135) follows:
% 20.31/5.23 | (4248) op(e3, e2) = e3
% 20.31/5.23 |
% 20.31/5.23 | From (2662) and (229) follows:
% 20.31/5.23 | (4249) op(e1, e2) = e1
% 20.31/5.23 |
% 20.31/5.23 | From (2662) and (125) follows:
% 20.31/5.23 | (4250) op(e0, e2) = e0
% 20.31/5.23 |
% 20.31/5.23 | Instantiating formula (151) with e3, e2, e3, e2 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e2, yields:
% 20.31/5.23 | (573) e3 = e2
% 20.31/5.23 |
% 20.31/5.23 | Instantiating formula (151) with e2, e3, e3, e4 and discharging atoms op(e2, e3) = e4, op(e2, e3) = e3, yields:
% 20.31/5.23 | (420) e4 = e3
% 20.31/5.23 |
% 20.31/5.23 | Instantiating formula (151) with e1, e2, e1, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e1, yields:
% 20.31/5.23 | (484) e4 = e1
% 20.31/5.23 |
% 20.31/5.23 | Instantiating formula (151) with e0, e2, e0, e3 and discharging atoms op(e0, e2) = e3, op(e0, e2) = e0, yields:
% 20.31/5.23 | (415) e3 = e0
% 20.31/5.23 |
% 20.31/5.23 | Combining equations (420,484) yields a new equation:
% 20.31/5.23 | (707) e3 = e1
% 20.31/5.23 |
% 20.31/5.23 | Simplifying 707 yields:
% 20.31/5.23 | (708) e3 = e1
% 20.31/5.23 |
% 20.31/5.23 | Combining equations (708,573) yields a new equation:
% 20.31/5.23 | (928) e2 = e1
% 20.31/5.23 |
% 20.31/5.23 | Combining equations (415,573) yields a new equation:
% 20.31/5.23 | (345) e2 = e0
% 20.31/5.23 |
% 20.31/5.23 | Combining equations (928,345) yields a new equation:
% 20.31/5.23 | (934) e1 = e0
% 20.31/5.23 |
% 20.31/5.23 | Simplifying 934 yields:
% 20.31/5.23 | (935) e1 = e0
% 20.31/5.23 |
% 20.31/5.23 | Equations (935) can reduce 247 to:
% 20.31/5.23 | (301) $false
% 20.31/5.23 |
% 20.31/5.23 |-The branch is then unsatisfiable
% 20.31/5.23 |-Branch two:
% 20.31/5.23 | (2669) ~ (unit = e2)
% 20.31/5.23 | (2670) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 20.31/5.23 |
% 20.31/5.23 +-Applying beta-rule and splitting (2670), into two cases.
% 20.31/5.23 |-Branch one:
% 20.31/5.23 | (2671) unit = e4
% 20.31/5.23 |
% 20.31/5.23 | From (2671) and (135) follows:
% 20.31/5.24 | (4265) op(e3, e4) = e3
% 20.31/5.24 |
% 20.31/5.24 | From (2671) and (87) follows:
% 20.31/5.24 | (4266) op(e2, e4) = e2
% 20.31/5.24 |
% 20.31/5.24 | Instantiating formula (151) with e3, e4, e3, e1 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e1, yields:
% 20.31/5.24 | (708) e3 = e1
% 20.31/5.24 |
% 20.31/5.24 | Instantiating formula (151) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 20.31/5.24 | (573) e3 = e2
% 20.31/5.24 |
% 20.31/5.24 | Combining equations (573,708) yields a new equation:
% 20.31/5.24 | (1250) e2 = e1
% 20.31/5.24 |
% 20.31/5.24 | Simplifying 1250 yields:
% 20.31/5.24 | (928) e2 = e1
% 20.31/5.24 |
% 20.31/5.24 | Equations (928) can reduce 122 to:
% 20.31/5.24 | (301) $false
% 20.31/5.24 |
% 20.31/5.24 |-The branch is then unsatisfiable
% 20.31/5.24 |-Branch two:
% 20.31/5.24 | (2679) ~ (unit = e4)
% 20.31/5.24 | (2680) unit = e3 | unit = e1 | unit = e0
% 20.31/5.24 |
% 20.31/5.24 +-Applying beta-rule and splitting (2680), into two cases.
% 20.31/5.24 |-Branch one:
% 20.31/5.24 | (2681) unit = e0
% 20.31/5.24 |
% 20.31/5.24 | From (2681) and (237) follows:
% 20.31/5.24 | (4275) op(e0, e3) = e3
% 20.31/5.24 |
% 20.31/5.24 | From (2681) and (63) follows:
% 20.31/5.24 | (4276) op(e0, e2) = e2
% 20.31/5.24 |
% 20.31/5.24 | Instantiating formula (151) with e0, e3, e3, e1 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e1, yields:
% 20.31/5.24 | (708) e3 = e1
% 20.31/5.24 |
% 20.31/5.24 | Instantiating formula (151) with e0, e2, e2, e3 and discharging atoms op(e0, e2) = e3, op(e0, e2) = e2, yields:
% 20.31/5.24 | (573) e3 = e2
% 20.31/5.24 |
% 20.31/5.24 | Combining equations (573,708) yields a new equation:
% 20.31/5.24 | (1250) e2 = e1
% 20.31/5.24 |
% 20.31/5.24 | Simplifying 1250 yields:
% 20.31/5.24 | (928) e2 = e1
% 20.31/5.24 |
% 20.31/5.24 | Equations (928) can reduce 122 to:
% 20.31/5.24 | (301) $false
% 20.31/5.24 |
% 20.31/5.24 |-The branch is then unsatisfiable
% 20.31/5.24 |-Branch two:
% 20.31/5.24 | (2687) ~ (unit = e0)
% 20.31/5.24 | (2688) unit = e3 | unit = e1
% 20.31/5.24 |
% 20.31/5.24 +-Applying beta-rule and splitting (2688), into two cases.
% 20.31/5.24 |-Branch one:
% 20.31/5.24 | (2689) unit = e3
% 20.31/5.24 |
% 20.31/5.24 | From (2689) and (200) follows:
% 20.31/5.24 | (4285) op(e3, e0) = e0
% 20.31/5.24 |
% 20.31/5.24 | From (2689) and (229) follows:
% 20.31/5.24 | (2691) op(e1, e3) = e1
% 20.31/5.24 |
% 20.31/5.24 | Instantiating formula (151) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields:
% 20.31/5.24 | (415) e3 = e0
% 20.31/5.24 |
% 20.31/5.24 | Instantiating formula (151) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields:
% 20.31/5.24 | (708) e3 = e1
% 20.31/5.24 |
% 20.31/5.24 | Combining equations (415,708) yields a new equation:
% 20.31/5.24 | (935) e1 = e0
% 20.31/5.24 |
% 20.31/5.24 | Equations (935) can reduce 247 to:
% 20.31/5.24 | (301) $false
% 20.31/5.24 |
% 20.31/5.24 |-The branch is then unsatisfiable
% 20.31/5.24 |-Branch two:
% 20.31/5.24 | (2701) ~ (unit = e3)
% 20.31/5.24 | (2702) unit = e1
% 20.31/5.24 |
% 20.31/5.24 | Equations (2702) can reduce 2687 to:
% 20.31/5.24 | (247) ~ (e1 = e0)
% 20.31/5.24 |
% 20.31/5.24 | From (2702) and (87) follows:
% 20.31/5.24 | (4294) op(e2, e1) = e2
% 20.31/5.24 |
% 20.31/5.24 | From (2702) and (125) follows:
% 20.31/5.24 | (2705) op(e0, e1) = e0
% 20.31/5.24 |
% 20.31/5.24 | Instantiating formula (151) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields:
% 20.31/5.24 | (928) e2 = e1
% 20.31/5.24 |
% 20.31/5.24 | Instantiating formula (151) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields:
% 20.31/5.24 | (345) e2 = e0
% 20.31/5.24 |
% 20.31/5.24 | Combining equations (345,928) yields a new equation:
% 20.31/5.24 | (935) e1 = e0
% 20.31/5.24 |
% 20.31/5.24 | Equations (935) can reduce 247 to:
% 20.31/5.24 | (301) $false
% 20.31/5.24 |
% 20.31/5.24 |-The branch is then unsatisfiable
% 20.31/5.24 |-Branch two:
% 20.31/5.24 | (994) ~ (all_0_40_40 = e3)
% 20.31/5.24 | (995) all_0_45_45 = e3 | all_0_57_57 = e3
% 20.31/5.24 |
% 20.31/5.24 +-Applying beta-rule and splitting (995), into two cases.
% 20.31/5.24 |-Branch one:
% 20.31/5.24 | (2016) all_0_45_45 = e3
% 20.31/5.24 |
% 20.31/5.24 | Combining equations (481,2016) yields a new equation:
% 20.31/5.24 | (508) e4 = e3
% 20.31/5.24 |
% 20.31/5.24 | Simplifying 508 yields:
% 20.31/5.24 | (420) e4 = e3
% 20.31/5.24 |
% 20.31/5.24 | Equations (420) can reduce 199 to:
% 20.31/5.24 | (301) $false
% 20.31/5.24 |
% 20.31/5.24 |-The branch is then unsatisfiable
% 20.31/5.24 |-Branch two:
% 20.31/5.24 | (770) ~ (all_0_45_45 = e3)
% 20.31/5.24 | (473) all_0_57_57 = e3
% 20.31/5.24 |
% 20.31/5.24 | Combining equations (473,458) yields a new equation:
% 20.31/5.24 | (572) e3 = e2
% 20.31/5.24 |
% 20.31/5.24 | Simplifying 572 yields:
% 20.31/5.24 | (573) e3 = e2
% 20.31/5.24 |
% 20.31/5.24 | Equations (573) can reduce 231 to:
% 20.31/5.24 | (301) $false
% 20.31/5.24 |
% 20.31/5.24 |-The branch is then unsatisfiable
% 20.31/5.24 |-Branch two:
% 20.31/5.24 | (347) ~ (all_0_39_39 = e2)
% 20.31/5.24 | (1218) all_0_39_39 = e4 | all_0_39_39 = e3 | all_0_39_39 = e0
% 20.31/5.24 |
% 20.31/5.24 +-Applying beta-rule and splitting (1218), into two cases.
% 20.31/5.24 |-Branch one:
% 20.31/5.24 | (428) all_0_39_39 = e4
% 20.31/5.24 |
% 20.31/5.24 | Equations (428) can reduce 296 to:
% 20.31/5.24 | (301) $false
% 20.31/5.24 |
% 20.31/5.24 |-The branch is then unsatisfiable
% 20.31/5.24 |-Branch two:
% 20.31/5.24 | (296) ~ (all_0_39_39 = e4)
% 20.31/5.24 | (1222) all_0_39_39 = e3 | all_0_39_39 = e0
% 20.31/5.24 |
% 20.31/5.24 +-Applying beta-rule and splitting (1222), into two cases.
% 20.31/5.24 |-Branch one:
% 20.31/5.24 | (323) all_0_39_39 = e0
% 20.31/5.24 |
% 20.31/5.24 | Equations (323) can reduce 322 to:
% 20.31/5.24 | (301) $false
% 20.31/5.24 |
% 20.31/5.24 |-The branch is then unsatisfiable
% 20.31/5.24 |-Branch two:
% 20.31/5.24 | (322) ~ (all_0_39_39 = e0)
% 20.31/5.24 | (694) all_0_39_39 = e3
% 20.31/5.24 |
% 20.31/5.24 | Equations (694) can reduce 698 to:
% 20.31/5.24 | (301) $false
% 20.31/5.24 |
% 20.31/5.24 |-The branch is then unsatisfiable
% 20.31/5.24 |-Branch two:
% 20.31/5.24 | (1696) ~ (all_0_55_55 = e1)
% 20.31/5.24 | (476) all_0_57_57 = e1
% 20.31/5.24 |
% 20.31/5.24 | Equations (476) can reduce 726 to:
% 20.31/5.24 | (301) $false
% 20.31/5.24 |
% 20.31/5.24 |-The branch is then unsatisfiable
% 20.31/5.24 |-Branch two:
% 20.31/5.24 | (489) ~ (all_0_45_45 = e4)
% 20.31/5.24 | (1056) all_0_46_46 = e4
% 20.31/5.24 |
% 20.31/5.24 | Combining equations (570,1056) yields a new equation:
% 20.31/5.24 | (420) e4 = e3
% 20.31/5.24 |
% 20.31/5.24 | Equations (420) can reduce 199 to:
% 20.31/5.24 | (301) $false
% 20.31/5.24 |
% 20.31/5.24 |-The branch is then unsatisfiable
% 20.31/5.24 |-Branch two:
% 20.31/5.24 | (261) ~ (all_0_44_44 = e2)
% 20.31/5.24 | (1634) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e0
% 20.31/5.24 |
% 20.31/5.24 +-Applying beta-rule and splitting (1634), into two cases.
% 20.31/5.24 |-Branch one:
% 20.31/5.24 | (403) all_0_44_44 = e4
% 20.31/5.24 |
% 20.31/5.24 | Equations (403) can reduce 407 to:
% 20.31/5.24 | (301) $false
% 20.31/5.24 |
% 20.31/5.24 |-The branch is then unsatisfiable
% 20.31/5.24 |-Branch two:
% 20.31/5.24 | (407) ~ (all_0_44_44 = e4)
% 20.31/5.24 | (1920) all_0_44_44 = e3 | all_0_44_44 = e0
% 20.31/5.24 |
% 20.31/5.24 +-Applying beta-rule and splitting (1920), into two cases.
% 20.31/5.24 |-Branch one:
% 20.31/5.24 | (383) all_0_44_44 = e0
% 20.31/5.24 |
% 20.31/5.24 | Equations (383) can reduce 525 to:
% 20.31/5.24 | (301) $false
% 20.31/5.24 |
% 20.31/5.24 |-The branch is then unsatisfiable
% 20.31/5.24 |-Branch two:
% 20.31/5.24 | (525) ~ (all_0_44_44 = e0)
% 20.31/5.24 | (413) all_0_44_44 = e3
% 20.31/5.24 |
% 20.31/5.24 | Equations (413) can reduce 417 to:
% 20.31/5.24 | (301) $false
% 20.31/5.24 |
% 20.31/5.24 |-The branch is then unsatisfiable
% 20.31/5.24 |-Branch two:
% 20.31/5.24 | (497) ~ (all_0_47_47 = e4)
% 20.31/5.24 | (498) all_0_52_52 = e4 | all_0_55_55 = e4
% 20.31/5.24 |
% 20.31/5.24 +-Applying beta-rule and splitting (244), into two cases.
% 20.31/5.24 |-Branch one:
% 20.31/5.24 | (344) all_0_39_39 = e2
% 20.31/5.24 |
% 20.31/5.24 | Equations (344) can reduce 250 to:
% 20.31/5.24 | (1270) ~ (all_0_55_55 = e2)
% 20.31/5.24 |
% 20.31/5.24 | Simplifying 1270 yields:
% 20.31/5.24 | (1140) ~ (all_0_55_55 = e2)
% 20.31/5.24 |
% 20.31/5.24 | Equations (344) can reduce 296 to:
% 20.31/5.24 | (271) ~ (e4 = e2)
% 20.31/5.24 |
% 20.31/5.24 | Simplifying 271 yields:
% 20.31/5.24 | (42) ~ (e4 = e2)
% 20.31/5.24 |
% 20.31/5.24 | Equations (344) can reduce 698 to:
% 20.31/5.24 | (284) ~ (e3 = e2)
% 20.31/5.24 |
% 20.31/5.24 | Simplifying 284 yields:
% 20.31/5.24 | (231) ~ (e3 = e2)
% 20.31/5.24 |
% 20.31/5.24 | Equations (344) can reduce 67 to:
% 20.31/5.24 | (122) ~ (e2 = e1)
% 20.31/5.24 |
% 20.31/5.24 | Equations (344) can reduce 322 to:
% 20.31/5.24 | (133) ~ (e2 = e0)
% 20.31/5.24 |
% 20.31/5.24 +-Applying beta-rule and splitting (178), into two cases.
% 20.31/5.24 |-Branch one:
% 20.31/5.24 | (450) all_0_55_55 = e2
% 20.31/5.24 |
% 20.31/5.24 | Equations (450) can reduce 1140 to:
% 20.31/5.24 | (301) $false
% 20.31/5.24 |
% 20.31/5.24 |-The branch is then unsatisfiable
% 20.31/5.24 |-Branch two:
% 20.31/5.24 | (1140) ~ (all_0_55_55 = e2)
% 20.31/5.24 | (4354) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0
% 20.31/5.24 |
% 20.31/5.24 +-Applying beta-rule and splitting (89), into two cases.
% 20.31/5.24 |-Branch one:
% 20.31/5.24 | (600) all_0_54_54 = e2
% 20.31/5.24 |
% 20.31/5.24 | Combining equations (600,369) yields a new equation:
% 20.31/5.24 | (352) e2 = e0
% 20.31/5.24 |
% 20.31/5.24 | Simplifying 352 yields:
% 20.31/5.24 | (345) e2 = e0
% 20.31/5.24 |
% 20.31/5.24 | Equations (345) can reduce 133 to:
% 20.31/5.24 | (301) $false
% 20.31/5.24 |
% 20.31/5.24 |-The branch is then unsatisfiable
% 20.31/5.24 |-Branch two:
% 20.31/5.24 | (283) ~ (all_0_54_54 = e2)
% 20.31/5.24 | (603) all_0_55_55 = e2 | all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2
% 20.31/5.24 |
% 20.31/5.24 +-Applying beta-rule and splitting (603), into two cases.
% 20.31/5.24 |-Branch one:
% 20.31/5.24 | (450) all_0_55_55 = e2
% 20.31/5.24 |
% 20.31/5.24 | Equations (450) can reduce 1140 to:
% 20.31/5.24 | (301) $false
% 20.31/5.24 |
% 20.31/5.24 |-The branch is then unsatisfiable
% 20.31/5.24 |-Branch two:
% 20.31/5.24 | (1140) ~ (all_0_55_55 = e2)
% 20.31/5.24 | (1141) all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2
% 20.31/5.24 |
% 20.31/5.24 +-Applying beta-rule and splitting (1141), into two cases.
% 20.31/5.24 |-Branch one:
% 20.31/5.24 | (637) all_0_56_56 = e2
% 20.31/5.24 |
% 20.31/5.24 | Combining equations (423,637) yields a new equation:
% 20.31/5.24 | (572) e3 = e2
% 20.31/5.24 |
% 20.31/5.24 | Simplifying 572 yields:
% 20.31/5.24 | (573) e3 = e2
% 20.31/5.24 |
% 20.31/5.24 | Equations (573) can reduce 231 to:
% 20.31/5.24 | (301) $false
% 20.31/5.24 |
% 20.31/5.24 |-The branch is then unsatisfiable
% 20.31/5.24 |-Branch two:
% 20.31/5.24 | (270) ~ (all_0_56_56 = e2)
% 20.31/5.24 | (1449) all_0_57_57 = e2 | all_0_58_58 = e2
% 20.31/5.24 |
% 20.31/5.24 +-Applying beta-rule and splitting (1449), into two cases.
% 20.31/5.24 |-Branch one:
% 20.31/5.24 | (458) all_0_57_57 = e2
% 20.31/5.24 |
% 20.31/5.24 | Equations (458) can reduce 94 to:
% 20.31/5.24 | (264) ~ (all_0_49_49 = e2)
% 20.31/5.24 |
% 20.31/5.24 +-Applying beta-rule and splitting (211), into two cases.
% 20.31/5.24 |-Branch one:
% 20.31/5.24 | (784) all_0_45_45 = e1
% 20.31/5.24 |
% 20.31/5.24 | Equations (784) can reduce 477 to:
% 20.31/5.24 | (301) $false
% 20.31/5.24 |
% 20.31/5.24 |-The branch is then unsatisfiable
% 20.31/5.24 |-Branch two:
% 20.31/5.24 | (477) ~ (all_0_45_45 = e1)
% 20.31/5.24 | (982) all_0_49_49 = e1 | all_0_57_57 = e1
% 20.31/5.25 |
% 20.31/5.25 +-Applying beta-rule and splitting (982), into two cases.
% 20.31/5.25 |-Branch one:
% 20.31/5.25 | (487) all_0_49_49 = e1
% 20.31/5.25 |
% 20.31/5.25 | Equations (487) can reduce 264 to:
% 20.31/5.25 | (788) ~ (e2 = e1)
% 20.31/5.25 |
% 20.31/5.25 | Simplifying 788 yields:
% 20.31/5.25 | (122) ~ (e2 = e1)
% 20.31/5.25 |
% 20.31/5.25 | Equations (487) can reduce 241 to:
% 20.31/5.25 | (247) ~ (e1 = e0)
% 20.31/5.25 |
% 20.31/5.25 +-Applying beta-rule and splitting (9), into two cases.
% 20.31/5.25 |-Branch one:
% 20.31/5.25 | (724) all_0_54_54 = e1
% 20.31/5.25 |
% 20.31/5.25 | Combining equations (369,724) yields a new equation:
% 20.31/5.25 | (935) e1 = e0
% 20.31/5.25 |
% 20.31/5.25 | Equations (935) can reduce 247 to:
% 20.31/5.25 | (301) $false
% 20.31/5.25 |
% 20.31/5.25 |-The branch is then unsatisfiable
% 20.31/5.25 |-Branch two:
% 20.31/5.25 | (1566) ~ (all_0_54_54 = e1)
% 20.31/5.25 | (1691) all_0_55_55 = e1 | all_0_57_57 = e1
% 20.31/5.25 |
% 20.31/5.25 +-Applying beta-rule and splitting (4354), into two cases.
% 20.31/5.25 |-Branch one:
% 20.31/5.25 | (503) all_0_55_55 = e4
% 20.31/5.25 |
% 20.31/5.25 | Equations (503) can reduce 375 to:
% 20.31/5.25 | (301) $false
% 20.31/5.25 |
% 20.31/5.25 |-The branch is then unsatisfiable
% 20.31/5.25 |-Branch two:
% 20.31/5.25 | (375) ~ (all_0_55_55 = e4)
% 20.31/5.25 | (4389) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0
% 20.31/5.25 |
% 20.31/5.25 +-Applying beta-rule and splitting (1691), into two cases.
% 20.31/5.25 |-Branch one:
% 20.31/5.25 | (1020) all_0_55_55 = e1
% 20.31/5.25 |
% 20.31/5.25 | Equations (1020) can reduce 375 to:
% 20.31/5.25 | (479) ~ (e4 = e1)
% 20.31/5.25 |
% 20.31/5.25 | Simplifying 479 yields:
% 20.31/5.25 | (114) ~ (e4 = e1)
% 20.31/5.25 |
% 20.31/5.25 +-Applying beta-rule and splitting (91), into two cases.
% 20.31/5.25 |-Branch one:
% 20.31/5.25 | (794) all_0_42_42 = e4
% 20.31/5.25 |
% 20.31/5.25 | Combining equations (979,794) yields a new equation:
% 20.31/5.25 | (484) e4 = e1
% 20.31/5.25 |
% 20.31/5.25 | Equations (484) can reduce 114 to:
% 20.31/5.25 | (301) $false
% 20.31/5.25 |
% 20.31/5.25 |-The branch is then unsatisfiable
% 20.31/5.25 |-Branch two:
% 20.31/5.25 | (974) ~ (all_0_42_42 = e4)
% 20.31/5.25 | (3996) all_0_44_44 = e4 | all_0_45_45 = e4 | all_0_46_46 = e4
% 20.31/5.25 |
% 20.31/5.25 | Equations (979) can reduce 974 to:
% 20.31/5.25 | (479) ~ (e4 = e1)
% 20.31/5.25 |
% 20.31/5.25 | Simplifying 479 yields:
% 20.31/5.25 | (114) ~ (e4 = e1)
% 20.31/5.25 |
% 20.31/5.25 +-Applying beta-rule and splitting (498), into two cases.
% 20.31/5.25 |-Branch one:
% 20.31/5.25 | (499) all_0_52_52 = e4
% 20.31/5.25 |
% 20.31/5.25 | Combining equations (499,455) yields a new equation:
% 20.31/5.25 | (508) e4 = e3
% 20.31/5.25 |
% 20.31/5.25 | Simplifying 508 yields:
% 20.31/5.25 | (420) e4 = e3
% 20.31/5.25 |
% 20.31/5.25 | Equations (420) can reduce 199 to:
% 20.31/5.25 | (301) $false
% 20.31/5.25 |
% 20.31/5.25 |-The branch is then unsatisfiable
% 20.31/5.25 |-Branch two:
% 20.31/5.25 | (410) ~ (all_0_52_52 = e4)
% 20.31/5.25 | (503) all_0_55_55 = e4
% 20.31/5.25 |
% 20.31/5.25 | Combining equations (1020,503) yields a new equation:
% 20.31/5.25 | (484) e4 = e1
% 20.31/5.25 |
% 20.31/5.25 | Equations (484) can reduce 114 to:
% 20.31/5.25 | (301) $false
% 20.31/5.25 |
% 20.31/5.25 |-The branch is then unsatisfiable
% 20.31/5.25 |-Branch two:
% 20.31/5.25 | (1696) ~ (all_0_55_55 = e1)
% 20.31/5.25 | (476) all_0_57_57 = e1
% 20.31/5.25 |
% 20.31/5.25 | Combining equations (476,458) yields a new equation:
% 20.31/5.25 | (928) e2 = e1
% 20.31/5.25 |
% 20.31/5.25 | Equations (928) can reduce 122 to:
% 20.31/5.25 | (301) $false
% 20.31/5.25 |
% 20.31/5.25 |-The branch is then unsatisfiable
% 20.31/5.25 |-Branch two:
% 20.31/5.25 | (478) ~ (all_0_49_49 = e1)
% 20.31/5.25 | (476) all_0_57_57 = e1
% 20.31/5.25 |
% 20.31/5.25 | Combining equations (476,458) yields a new equation:
% 20.31/5.25 | (928) e2 = e1
% 20.31/5.25 |
% 20.31/5.25 | Equations (928) can reduce 122 to:
% 20.31/5.25 | (301) $false
% 20.31/5.25 |
% 20.31/5.25 |-The branch is then unsatisfiable
% 20.31/5.25 |-Branch two:
% 20.31/5.25 | (452) ~ (all_0_57_57 = e2)
% 20.31/5.25 | (300) all_0_58_58 = e2
% 20.31/5.25 |
% 20.31/5.25 | Combining equations (304,300) yields a new equation:
% 20.31/5.25 | (553) e4 = e2
% 20.31/5.25 |
% 20.31/5.25 | Simplifying 553 yields:
% 20.31/5.25 | (504) e4 = e2
% 20.31/5.25 |
% 20.31/5.25 | Equations (504) can reduce 42 to:
% 20.31/5.25 | (301) $false
% 20.31/5.25 |
% 20.31/5.25 |-The branch is then unsatisfiable
% 20.31/5.25 |-Branch two:
% 20.31/5.25 | (347) ~ (all_0_39_39 = e2)
% 20.31/5.25 | (1218) all_0_39_39 = e4 | all_0_39_39 = e3 | all_0_39_39 = e0
% 20.31/5.25 |
% 20.31/5.25 +-Applying beta-rule and splitting (1218), into two cases.
% 20.31/5.25 |-Branch one:
% 20.31/5.25 | (428) all_0_39_39 = e4
% 20.31/5.25 |
% 20.31/5.25 | Equations (428) can reduce 296 to:
% 20.31/5.25 | (301) $false
% 20.31/5.25 |
% 20.31/5.25 |-The branch is then unsatisfiable
% 20.31/5.25 |-Branch two:
% 20.31/5.25 | (296) ~ (all_0_39_39 = e4)
% 20.31/5.25 | (1222) all_0_39_39 = e3 | all_0_39_39 = e0
% 20.31/5.25 |
% 20.31/5.25 +-Applying beta-rule and splitting (1222), into two cases.
% 20.31/5.25 |-Branch one:
% 20.31/5.25 | (323) all_0_39_39 = e0
% 20.31/5.25 |
% 20.31/5.25 | Equations (323) can reduce 322 to:
% 20.31/5.25 | (301) $false
% 20.31/5.25 |
% 20.31/5.25 |-The branch is then unsatisfiable
% 20.31/5.25 |-Branch two:
% 20.31/5.25 | (322) ~ (all_0_39_39 = e0)
% 20.31/5.25 | (694) all_0_39_39 = e3
% 20.31/5.25 |
% 20.31/5.25 | Equations (694) can reduce 698 to:
% 20.31/5.25 | (301) $false
% 20.31/5.25 |
% 20.31/5.25 |-The branch is then unsatisfiable
% 20.31/5.25 |-Branch two:
% 20.31/5.25 | (506) ~ (all_0_52_52 = e3)
% 20.31/5.25 | (419) all_0_53_53 = e3
% 20.31/5.25 |
% 20.31/5.25 | Equations (419) can reduce 109 to:
% 20.31/5.25 | (417) ~ (all_0_44_44 = e3)
% 20.31/5.25 |
% 20.31/5.25 | Equations (419) can reduce 60 to:
% 20.31/5.25 | (506) ~ (all_0_52_52 = e3)
% 20.31/5.25 |
% 20.31/5.25 | Equations (419) can reduce 192 to:
% 20.31/5.25 | (3917) ~ (all_0_56_56 = e3)
% 20.31/5.25 |
% 20.31/5.25 | Simplifying 3917 yields:
% 20.31/5.25 | (596) ~ (all_0_56_56 = e3)
% 20.31/5.25 |
% 20.31/5.25 | Equations (419) can reduce 22 to:
% 20.31/5.25 | (81) ~ (e3 = e0)
% 20.31/5.25 |
% 20.31/5.25 | From (419) and (118) follows:
% 20.31/5.25 | (675) op(e3, e2) = all_0_28_28
% 20.31/5.25 |
% 20.31/5.25 +-Applying beta-rule and splitting (246), into two cases.
% 20.31/5.25 |-Branch one:
% 20.31/5.25 | (654) all_0_51_51 = e4
% 20.31/5.25 |
% 20.31/5.25 | Combining equations (654,276) yields a new equation:
% 20.31/5.25 | (553) e4 = e2
% 20.31/5.25 |
% 20.31/5.25 | Simplifying 553 yields:
% 20.31/5.25 | (504) e4 = e2
% 20.31/5.25 |
% 20.31/5.25 | Equations (504) can reduce 42 to:
% 20.31/5.25 | (301) $false
% 20.31/5.25 |
% 20.31/5.25 |-The branch is then unsatisfiable
% 20.31/5.25 |-Branch two:
% 20.31/5.25 | (657) ~ (all_0_51_51 = e4)
% 20.31/5.25 | (658) all_0_52_52 = e4 | all_0_53_53 = e4
% 20.31/5.25 |
% 20.31/5.25 +-Applying beta-rule and splitting (658), into two cases.
% 20.31/5.25 |-Branch one:
% 20.31/5.25 | (499) all_0_52_52 = e4
% 20.31/5.25 |
% 20.31/5.25 | Equations (499) can reduce 129 to:
% 20.31/5.25 | (296) ~ (all_0_39_39 = e4)
% 20.31/5.25 |
% 20.31/5.25 | Equations (499) can reduce 101 to:
% 20.31/5.25 | (497) ~ (all_0_47_47 = e4)
% 20.31/5.25 |
% 20.31/5.25 | Equations (499) can reduce 235 to:
% 20.31/5.25 | (4449) ~ (all_0_55_55 = e4)
% 20.31/5.25 |
% 20.31/5.25 | Simplifying 4449 yields:
% 20.31/5.25 | (375) ~ (all_0_55_55 = e4)
% 20.31/5.25 |
% 20.31/5.25 | Equations (499) can reduce 506 to:
% 20.31/5.25 | (199) ~ (e4 = e3)
% 20.31/5.25 |
% 20.31/5.25 | Equations (499) can reduce 70 to:
% 20.31/5.25 | (114) ~ (e4 = e1)
% 20.31/5.25 |
% 20.31/5.25 | From (499) and (218) follows:
% 20.31/5.25 | (662) op(e4, e3) = all_0_26_26
% 20.31/5.25 |
% 20.31/5.25 | From (499) and (236) follows:
% 20.31/5.25 | (663) op(e4, e1) = all_0_25_25
% 20.31/5.25 |
% 20.31/5.25 | From (499) and (107) follows:
% 20.31/5.25 | (664) op(e1, e3) = e4
% 20.31/5.25 |
% 20.31/5.25 +-Applying beta-rule and splitting (179), into two cases.
% 20.31/5.25 |-Branch one:
% 20.31/5.25 | (637) all_0_56_56 = e2
% 20.31/5.25 |
% 20.31/5.25 | Equations (637) can reduce 243 to:
% 20.31/5.25 | (451) ~ (all_0_57_57 = e2)
% 20.31/5.25 |
% 20.31/5.25 | Simplifying 451 yields:
% 20.31/5.25 | (452) ~ (all_0_57_57 = e2)
% 20.31/5.25 |
% 20.31/5.25 | Equations (637) can reduce 376 to:
% 20.31/5.25 | (271) ~ (e4 = e2)
% 20.31/5.25 |
% 20.31/5.25 | Simplifying 271 yields:
% 20.31/5.25 | (42) ~ (e4 = e2)
% 20.31/5.25 |
% 20.31/5.25 | Equations (637) can reduce 596 to:
% 20.31/5.25 | (284) ~ (e3 = e2)
% 20.31/5.25 |
% 20.31/5.25 | Simplifying 284 yields:
% 20.31/5.25 | (231) ~ (e3 = e2)
% 20.31/5.25 |
% 20.31/5.25 +-Applying beta-rule and splitting (176), into two cases.
% 20.31/5.25 |-Branch one:
% 20.31/5.25 | (462) all_0_47_47 = e4
% 20.31/5.25 |
% 20.31/5.25 | Equations (462) can reduce 497 to:
% 20.31/5.25 | (301) $false
% 20.31/5.25 |
% 20.31/5.25 |-The branch is then unsatisfiable
% 20.31/5.25 |-Branch two:
% 20.31/5.25 | (497) ~ (all_0_47_47 = e4)
% 20.31/5.25 | (3048) all_0_49_49 = e4 | all_0_50_50 = e4
% 20.31/5.25 |
% 20.31/5.25 +-Applying beta-rule and splitting (3048), into two cases.
% 20.31/5.25 |-Branch one:
% 20.31/5.25 | (491) all_0_49_49 = e4
% 20.31/5.25 |
% 20.31/5.25 | Equations (491) can reduce 195 to:
% 20.31/5.25 | (298) ~ (all_0_40_40 = e4)
% 20.31/5.25 |
% 20.31/5.25 | Equations (491) can reduce 94 to:
% 20.31/5.25 | (644) ~ (all_0_57_57 = e4)
% 20.31/5.25 |
% 20.31/5.25 | Simplifying 644 yields:
% 20.31/5.25 | (377) ~ (all_0_57_57 = e4)
% 20.31/5.25 |
% 20.31/5.25 | Equations (491) can reduce 191 to:
% 20.31/5.25 | (199) ~ (e4 = e3)
% 20.31/5.25 |
% 20.31/5.25 | Equations (491) can reduce 264 to:
% 20.31/5.25 | (42) ~ (e4 = e2)
% 20.31/5.25 |
% 20.31/5.25 | From (491) and (162) follows:
% 20.31/5.25 | (778) op(e4, e1) = all_0_20_20
% 20.31/5.25 |
% 20.31/5.25 | From (491) and (193) follows:
% 20.31/5.25 | (779) op(e2, e1) = e4
% 20.31/5.25 |
% 20.31/5.25 +-Applying beta-rule and splitting (209), into two cases.
% 20.31/5.25 |-Branch one:
% 20.31/5.25 | (483) all_0_47_47 = e1
% 20.31/5.25 |
% 20.31/5.25 | Equations (483) can reduce 49 to:
% 20.31/5.25 | (786) ~ (e3 = e1)
% 20.31/5.25 |
% 20.31/5.25 | Simplifying 786 yields:
% 20.31/5.25 | (234) ~ (e3 = e1)
% 20.31/5.25 |
% 20.31/5.25 | From (483) and (142) follows:
% 20.31/5.25 | (715) op(e1, e3) = all_0_17_17
% 20.31/5.25 |
% 20.31/5.25 | From (483) and (62) follows:
% 20.31/5.25 | (716) op(e2, e3) = e1
% 20.31/5.25 |
% 20.31/5.25 +-Applying beta-rule and splitting (21), into two cases.
% 20.31/5.25 |-Branch one:
% 20.31/5.25 | (403) all_0_44_44 = e4
% 20.31/5.25 |
% 20.31/5.25 | Equations (403) can reduce 38 to:
% 20.31/5.25 | (2540) ~ (all_0_45_45 = e4)
% 20.31/5.25 |
% 20.31/5.25 | Simplifying 2540 yields:
% 20.31/5.25 | (489) ~ (all_0_45_45 = e4)
% 20.31/5.25 |
% 20.31/5.25 | Equations (403) can reduce 417 to:
% 20.31/5.25 | (199) ~ (e4 = e3)
% 20.31/5.25 |
% 20.31/5.25 | Equations (403) can reduce 55 to:
% 20.31/5.25 | (114) ~ (e4 = e1)
% 20.31/5.25 |
% 20.31/5.25 | From (403) and (130) follows:
% 20.31/5.25 | (1682) op(e4, e3) = all_0_10_10
% 20.31/5.25 |
% 20.31/5.25 | From (403) and (185) follows:
% 20.31/5.25 | (1683) op(e4, e2) = all_0_11_11
% 20.31/5.25 |
% 20.31/5.25 | From (403) and (165) follows:
% 20.31/5.25 | (1684) op(e3, e2) = e4
% 20.31/5.25 |
% 20.31/5.25 +-Applying beta-rule and splitting (211), into two cases.
% 20.31/5.25 |-Branch one:
% 20.31/5.25 | (784) all_0_45_45 = e1
% 20.31/5.25 |
% 20.31/5.25 | Equations (784) can reduce 477 to:
% 20.31/5.25 | (301) $false
% 20.31/5.25 |
% 20.31/5.25 |-The branch is then unsatisfiable
% 20.31/5.25 |-Branch two:
% 20.31/5.25 | (477) ~ (all_0_45_45 = e1)
% 20.31/5.25 | (982) all_0_49_49 = e1 | all_0_57_57 = e1
% 20.31/5.25 |
% 20.31/5.25 +-Applying beta-rule and splitting (102), into two cases.
% 20.31/5.25 |-Branch one:
% 20.31/5.25 | (344) all_0_39_39 = e2
% 20.31/5.25 |
% 20.31/5.25 | Equations (344) can reduce 31 to:
% 20.31/5.25 | (4199) ~ (all_0_40_40 = e2)
% 20.31/5.25 |
% 20.31/5.25 | Simplifying 4199 yields:
% 20.31/5.25 | (729) ~ (all_0_40_40 = e2)
% 20.31/5.25 |
% 20.31/5.25 | Equations (344) can reduce 250 to:
% 20.31/5.26 | (1270) ~ (all_0_55_55 = e2)
% 20.31/5.26 |
% 20.31/5.26 | Simplifying 1270 yields:
% 20.31/5.26 | (1140) ~ (all_0_55_55 = e2)
% 20.31/5.26 |
% 20.31/5.26 | Equations (344) can reduce 296 to:
% 20.31/5.26 | (271) ~ (e4 = e2)
% 20.31/5.26 |
% 20.31/5.26 | Simplifying 271 yields:
% 20.31/5.26 | (42) ~ (e4 = e2)
% 20.31/5.26 |
% 20.31/5.26 | From (344) and (112) follows:
% 20.31/5.26 | (670) op(e2, e3) = all_0_2_2
% 20.31/5.26 |
% 20.31/5.26 | From (344) and (154) follows:
% 20.31/5.26 | (671) op(e4, e3) = e2
% 20.31/5.26 |
% 20.31/5.26 +-Applying beta-rule and splitting (254), into two cases.
% 20.31/5.26 |-Branch one:
% 20.31/5.26 | (1380) all_0_40_40 = e2
% 20.31/5.26 |
% 20.31/5.26 | Equations (1380) can reduce 729 to:
% 20.31/5.26 | (301) $false
% 20.31/5.26 |
% 20.31/5.26 |-The branch is then unsatisfiable
% 20.31/5.26 |-Branch two:
% 20.31/5.26 | (729) ~ (all_0_40_40 = e2)
% 20.31/5.26 | (3733) all_0_40_40 = e4 | all_0_40_40 = e3
% 20.31/5.26 |
% 20.31/5.26 +-Applying beta-rule and splitting (123), into two cases.
% 20.31/5.26 |-Branch one:
% 20.31/5.26 | (694) all_0_39_39 = e3
% 20.31/5.26 |
% 20.31/5.26 | Combining equations (694,344) yields a new equation:
% 20.31/5.26 | (572) e3 = e2
% 20.31/5.26 |
% 20.31/5.26 | Simplifying 572 yields:
% 20.31/5.26 | (573) e3 = e2
% 20.31/5.26 |
% 20.31/5.26 | Equations (573) can reduce 231 to:
% 20.31/5.26 | (301) $false
% 20.31/5.26 |
% 20.31/5.26 |-The branch is then unsatisfiable
% 20.31/5.26 |-Branch two:
% 20.31/5.26 | (698) ~ (all_0_39_39 = e3)
% 20.31/5.26 | (699) all_0_43_43 = e3 | all_0_52_52 = e3 | all_0_55_55 = e3
% 20.31/5.26 |
% 20.31/5.26 | Equations (344) can reduce 698 to:
% 20.31/5.26 | (284) ~ (e3 = e2)
% 20.31/5.26 |
% 20.31/5.26 | Simplifying 284 yields:
% 20.31/5.26 | (231) ~ (e3 = e2)
% 20.31/5.26 |
% 20.31/5.26 +-Applying beta-rule and splitting (138), into two cases.
% 20.31/5.26 |-Branch one:
% 20.31/5.26 | (694) all_0_39_39 = e3
% 20.31/5.26 |
% 20.31/5.26 | Combining equations (694,344) yields a new equation:
% 20.31/5.26 | (572) e3 = e2
% 20.31/5.26 |
% 20.31/5.26 | Simplifying 572 yields:
% 20.31/5.26 | (573) e3 = e2
% 20.31/5.26 |
% 20.31/5.26 | Equations (573) can reduce 231 to:
% 20.31/5.26 | (301) $false
% 20.31/5.26 |
% 20.31/5.26 |-The branch is then unsatisfiable
% 20.31/5.26 |-Branch two:
% 20.31/5.26 | (698) ~ (all_0_39_39 = e3)
% 20.31/5.26 | (1001) all_0_40_40 = e3 | all_0_41_41 = e3
% 20.31/5.26 |
% 20.31/5.26 +-Applying beta-rule and splitting (169), into two cases.
% 20.31/5.26 |-Branch one:
% 20.31/5.26 | (1380) all_0_40_40 = e2
% 20.31/5.26 |
% 20.31/5.26 | Equations (1380) can reduce 729 to:
% 20.31/5.26 | (301) $false
% 20.31/5.26 |
% 20.31/5.26 |-The branch is then unsatisfiable
% 20.31/5.26 |-Branch two:
% 20.31/5.26 | (729) ~ (all_0_40_40 = e2)
% 20.31/5.26 | (2741) all_0_45_45 = e2 | all_0_49_49 = e2 | all_0_57_57 = e2
% 20.31/5.26 |
% 20.31/5.26 +-Applying beta-rule and splitting (1001), into two cases.
% 20.31/5.26 |-Branch one:
% 20.31/5.26 | (768) all_0_40_40 = e3
% 20.31/5.26 |
% 20.31/5.26 | Equations (768) can reduce 298 to:
% 20.31/5.26 | (426) ~ (e4 = e3)
% 20.31/5.26 |
% 20.31/5.26 | Simplifying 426 yields:
% 20.31/5.26 | (199) ~ (e4 = e3)
% 20.31/5.26 |
% 20.31/5.26 | Equations (768) can reduce 171 to:
% 20.31/5.26 | (81) ~ (e3 = e0)
% 20.31/5.26 |
% 20.31/5.26 | From (768) and (252) follows:
% 20.31/5.26 | (773) op(e3, e1) = all_0_4_4
% 20.31/5.26 |
% 20.31/5.26 | From (768) and (117) follows:
% 20.31/5.26 | (774) op(e4, e1) = e3
% 20.31/5.26 |
% 20.31/5.26 +-Applying beta-rule and splitting (982), into two cases.
% 20.31/5.26 |-Branch one:
% 20.31/5.26 | (487) all_0_49_49 = e1
% 20.31/5.26 |
% 20.31/5.26 | Combining equations (491,487) yields a new equation:
% 20.31/5.26 | (858) e4 = e1
% 20.31/5.26 |
% 20.31/5.26 | Simplifying 858 yields:
% 20.31/5.26 | (484) e4 = e1
% 20.31/5.26 |
% 20.31/5.26 | Equations (484) can reduce 114 to:
% 20.31/5.26 | (301) $false
% 20.31/5.26 |
% 20.31/5.26 |-The branch is then unsatisfiable
% 20.31/5.26 |-Branch two:
% 20.31/5.26 | (478) ~ (all_0_49_49 = e1)
% 20.31/5.26 | (476) all_0_57_57 = e1
% 20.31/5.26 |
% 20.31/5.26 | Equations (476) can reduce 75 to:
% 20.31/5.26 | (477) ~ (all_0_45_45 = e1)
% 20.31/5.26 |
% 20.31/5.26 | Equations (476) can reduce 20 to:
% 20.31/5.26 | (1696) ~ (all_0_55_55 = e1)
% 20.31/5.26 |
% 20.31/5.26 | Equations (476) can reduce 377 to:
% 20.31/5.26 | (479) ~ (e4 = e1)
% 20.31/5.26 |
% 20.31/5.26 | Simplifying 479 yields:
% 20.31/5.26 | (114) ~ (e4 = e1)
% 20.31/5.26 |
% 20.31/5.26 | Equations (476) can reduce 452 to:
% 20.31/5.26 | (788) ~ (e2 = e1)
% 20.31/5.26 |
% 20.31/5.26 | Simplifying 788 yields:
% 20.31/5.26 | (122) ~ (e2 = e1)
% 20.31/5.26 |
% 20.31/5.26 +-Applying beta-rule and splitting (2741), into two cases.
% 20.31/5.26 |-Branch one:
% 20.31/5.26 | (752) all_0_45_45 = e2
% 20.31/5.26 |
% 20.31/5.26 | Equations (752) can reduce 489 to:
% 20.31/5.26 | (271) ~ (e4 = e2)
% 20.31/5.26 |
% 20.31/5.26 | Simplifying 271 yields:
% 20.31/5.26 | (42) ~ (e4 = e2)
% 20.31/5.26 |
% 20.31/5.26 | Equations (752) can reduce 477 to:
% 20.31/5.26 | (122) ~ (e2 = e1)
% 20.31/5.26 |
% 20.31/5.26 | From (752) and (50) follows:
% 20.31/5.26 | (1556) op(e2, e3) = all_0_12_12
% 20.31/5.26 |
% 20.31/5.26 | From (752) and (44) follows:
% 20.31/5.26 | (1557) op(e2, e1) = all_0_13_13
% 20.31/5.26 |
% 20.31/5.26 | From (752) and (196) follows:
% 20.31/5.26 | (1558) op(e3, e1) = e2
% 20.31/5.26 |
% 20.31/5.26 +-Applying beta-rule and splitting (178), into two cases.
% 20.31/5.26 |-Branch one:
% 20.31/5.26 | (450) all_0_55_55 = e2
% 20.31/5.26 |
% 20.31/5.26 | Equations (450) can reduce 1140 to:
% 20.31/5.26 | (301) $false
% 20.31/5.26 |
% 20.31/5.26 |-The branch is then unsatisfiable
% 20.31/5.26 |-Branch two:
% 20.31/5.26 | (1140) ~ (all_0_55_55 = e2)
% 20.31/5.26 | (4354) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0
% 20.31/5.26 |
% 20.31/5.26 +-Applying beta-rule and splitting (699), into two cases.
% 20.31/5.26 |-Branch one:
% 20.31/5.26 | (700) all_0_43_43 = e3
% 20.31/5.26 |
% 20.31/5.26 | Combining equations (513,700) yields a new equation:
% 20.31/5.26 | (415) e3 = e0
% 20.31/5.26 |
% 20.31/5.26 | Equations (415) can reduce 81 to:
% 20.31/5.26 | (301) $false
% 20.31/5.26 |
% 20.31/5.26 |-The branch is then unsatisfiable
% 20.31/5.26 |-Branch two:
% 20.31/5.26 | (1024) ~ (all_0_43_43 = e3)
% 20.31/5.26 | (1025) all_0_52_52 = e3 | all_0_55_55 = e3
% 20.31/5.26 |
% 20.31/5.26 +-Applying beta-rule and splitting (132), into two cases.
% 20.31/5.26 |-Branch one:
% 20.31/5.26 | (1031) all_0_55_55 = e3
% 20.31/5.26 |
% 20.31/5.26 | Equations (1031) can reduce 375 to:
% 20.31/5.26 | (426) ~ (e4 = e3)
% 20.31/5.26 |
% 20.31/5.26 | Simplifying 426 yields:
% 20.31/5.26 | (199) ~ (e4 = e3)
% 20.31/5.26 |
% 20.31/5.26 | Equations (1031) can reduce 1140 to:
% 20.31/5.26 | (231) ~ (e3 = e2)
% 20.31/5.26 |
% 20.31/5.26 | Equations (1031) can reduce 1696 to:
% 20.31/5.26 | (234) ~ (e3 = e1)
% 20.31/5.26 |
% 20.31/5.26 | Instantiating formula (151) with e4, e3, all_0_26_26, all_0_10_10 and discharging atoms op(e4, e3) = all_0_10_10, op(e4, e3) = all_0_26_26, yields:
% 20.31/5.26 | (1719) all_0_10_10 = all_0_26_26
% 20.31/5.26 |
% 20.31/5.26 | Instantiating formula (151) with e4, e3, e2, all_0_10_10 and discharging atoms op(e4, e3) = all_0_10_10, op(e4, e3) = e2, yields:
% 20.31/5.26 | (1720) all_0_10_10 = e2
% 20.31/5.26 |
% 20.31/5.26 | Instantiating formula (151) with e4, e2, all_0_11_11, e1 and discharging atoms op(e4, e2) = all_0_11_11, op(e4, e2) = e1, yields:
% 20.31/5.26 | (1721) all_0_11_11 = e1
% 20.31/5.26 |
% 20.31/5.26 | Instantiating formula (151) with e4, e1, all_0_25_25, all_0_20_20 and discharging atoms op(e4, e1) = all_0_20_20, op(e4, e1) = all_0_25_25, yields:
% 20.31/5.26 | (807) all_0_20_20 = all_0_25_25
% 20.31/5.26 |
% 20.31/5.26 | Instantiating formula (151) with e4, e1, e3, all_0_20_20 and discharging atoms op(e4, e1) = all_0_20_20, op(e4, e1) = e3, yields:
% 20.31/5.26 | (808) all_0_20_20 = e3
% 20.31/5.26 |
% 20.31/5.26 | Instantiating formula (151) with e3, e2, e4, all_0_28_28 and discharging atoms op(e3, e2) = all_0_28_28, op(e3, e2) = e4, yields:
% 20.31/5.26 | (1724) all_0_28_28 = e4
% 20.31/5.26 |
% 20.31/5.26 | Instantiating formula (151) with e3, e1, e2, all_0_4_4 and discharging atoms op(e3, e1) = all_0_4_4, op(e3, e1) = e2, yields:
% 20.31/5.26 | (1726) all_0_4_4 = e2
% 20.31/5.26 |
% 20.31/5.26 | Instantiating formula (151) with e2, e3, all_0_12_12, all_0_2_2 and discharging atoms op(e2, e3) = all_0_2_2, op(e2, e3) = all_0_12_12, yields:
% 20.31/5.26 | (1727) all_0_2_2 = all_0_12_12
% 20.31/5.26 |
% 20.31/5.26 | Instantiating formula (151) with e2, e3, e1, all_0_2_2 and discharging atoms op(e2, e3) = all_0_2_2, op(e2, e3) = e1, yields:
% 20.31/5.26 | (812) all_0_2_2 = e1
% 20.31/5.26 |
% 20.31/5.26 | Instantiating formula (151) with e2, e1, e4, all_0_13_13 and discharging atoms op(e2, e1) = all_0_13_13, op(e2, e1) = e4, yields:
% 20.31/5.26 | (1729) all_0_13_13 = e4
% 20.31/5.26 |
% 20.31/5.26 | Instantiating formula (151) with e1, e3, e4, all_0_17_17 and discharging atoms op(e1, e3) = all_0_17_17, op(e1, e3) = e4, yields:
% 20.31/5.26 | (827) all_0_17_17 = e4
% 20.31/5.26 |
% 20.31/5.26 | Combining equations (812,1727) yields a new equation:
% 20.31/5.26 | (1733) all_0_12_12 = e1
% 20.31/5.26 |
% 20.31/5.26 | Combining equations (1719,1720) yields a new equation:
% 20.31/5.26 | (825) all_0_26_26 = e2
% 20.31/5.26 |
% 20.31/5.26 | Simplifying 825 yields:
% 20.31/5.26 | (826) all_0_26_26 = e2
% 20.31/5.26 |
% 20.31/5.26 | Combining equations (808,807) yields a new equation:
% 20.31/5.26 | (830) all_0_25_25 = e3
% 20.31/5.26 |
% 20.31/5.26 | Combining equations (830,807) yields a new equation:
% 20.31/5.26 | (808) all_0_20_20 = e3
% 20.31/5.26 |
% 20.31/5.26 | Combining equations (1733,1727) yields a new equation:
% 20.31/5.26 | (812) all_0_2_2 = e1
% 20.31/5.26 |
% 20.31/5.26 +-Applying beta-rule and splitting (128), into two cases.
% 20.31/5.26 |-Branch one:
% 20.31/5.26 | (837) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)) | (all_0_42_42 = e2 & ~ (all_0_44_44 = e4))
% 20.31/5.27 |
% 20.31/5.27 +-Applying beta-rule and splitting (837), into two cases.
% 20.31/5.27 |-Branch one:
% 20.31/5.27 | (838) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1))
% 20.31/5.27 |
% 20.31/5.27 +-Applying beta-rule and splitting (838), into two cases.
% 20.31/5.27 |-Branch one:
% 20.31/5.27 | (839) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56))
% 20.31/5.27 |
% 20.31/5.27 +-Applying beta-rule and splitting (839), into two cases.
% 20.31/5.27 |-Branch one:
% 20.31/5.27 | (840) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55))
% 20.31/5.27 |
% 20.31/5.27 +-Applying beta-rule and splitting (840), into two cases.
% 20.31/5.27 |-Branch one:
% 20.31/5.27 | (841) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54))
% 20.31/5.27 |
% 20.31/5.27 +-Applying beta-rule and splitting (841), into two cases.
% 20.31/5.27 |-Branch one:
% 20.31/5.27 | (842) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53))
% 20.31/5.27 |
% 20.31/5.27 +-Applying beta-rule and splitting (842), into two cases.
% 20.31/5.27 |-Branch one:
% 20.31/5.27 | (843) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52))
% 20.31/5.27 |
% 20.31/5.27 +-Applying beta-rule and splitting (843), into two cases.
% 20.31/5.27 |-Branch one:
% 20.31/5.27 | (844) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51))
% 20.31/5.27 |
% 20.31/5.27 +-Applying beta-rule and splitting (844), into two cases.
% 20.31/5.27 |-Branch one:
% 20.31/5.27 | (845) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56))
% 20.31/5.27 |
% 20.31/5.27 +-Applying beta-rule and splitting (845), into two cases.
% 20.31/5.27 |-Branch one:
% 20.31/5.27 | (846) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53))
% 20.31/5.27 |
% 20.31/5.27 +-Applying beta-rule and splitting (846), into two cases.
% 20.31/5.27 |-Branch one:
% 20.31/5.27 | (847) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47))
% 20.31/5.27 |
% 20.31/5.27 +-Applying beta-rule and splitting (847), into two cases.
% 20.31/5.27 |-Branch one:
% 20.31/5.27 | (848) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55))
% 20.31/5.27 |
% 20.31/5.27 +-Applying beta-rule and splitting (848), into two cases.
% 20.31/5.27 |-Branch one:
% 20.31/5.27 | (849) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52))
% 20.31/5.27 |
% 20.31/5.28 +-Applying beta-rule and splitting (849), into two cases.
% 20.31/5.28 |-Branch one:
% 20.31/5.28 | (850) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47))
% 20.31/5.28 |
% 20.31/5.28 +-Applying beta-rule and splitting (850), into two cases.
% 20.31/5.28 |-Branch one:
% 20.31/5.28 | (851) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42))
% 20.31/5.28 |
% 20.31/5.28 +-Applying beta-rule and splitting (851), into two cases.
% 20.31/5.28 |-Branch one:
% 20.31/5.28 | (852) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54))
% 20.31/5.28 |
% 20.31/5.28 +-Applying beta-rule and splitting (852), into two cases.
% 20.31/5.28 |-Branch one:
% 20.31/5.28 | (853) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51))
% 20.31/5.28 |
% 20.31/5.28 +-Applying beta-rule and splitting (853), into two cases.
% 20.31/5.28 |-Branch one:
% 20.31/5.28 | (854) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)
% 20.31/5.28 |
% 20.31/5.28 | Applying alpha-rule on (854) yields:
% 20.31/5.28 | (855) all_0_2_2 = e4
% 20.31/5.28 | (856) ~ (all_0_1_1 = e3)
% 20.31/5.28 | (857) ~ (all_0_39_39 = all_0_42_42)
% 20.31/5.28 |
% 20.31/5.28 | Combining equations (855,812) yields a new equation:
% 20.31/5.28 | (858) e4 = e1
% 20.31/5.28 |
% 20.31/5.28 | Simplifying 858 yields:
% 20.31/5.28 | (484) e4 = e1
% 20.31/5.28 |
% 20.31/5.28 | Equations (484) can reduce 114 to:
% 20.31/5.28 | (301) $false
% 20.31/5.28 |
% 20.31/5.28 |-The branch is then unsatisfiable
% 20.31/5.28 |-Branch two:
% 20.31/5.28 | (861) all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)
% 20.31/5.28 |
% 20.31/5.28 | Applying alpha-rule on (861) yields:
% 20.31/5.28 | (862) all_0_4_4 = e4
% 20.31/5.28 | (863) ~ (all_0_3_3 = e1)
% 20.31/5.28 | (864) ~ (all_0_40_40 = all_0_51_51)
% 20.31/5.28 |
% 20.31/5.28 | Combining equations (862,1726) yields a new equation:
% 20.31/5.28 | (553) e4 = e2
% 20.31/5.28 |
% 20.31/5.28 | Simplifying 553 yields:
% 20.31/5.28 | (504) e4 = e2
% 20.31/5.28 |
% 20.31/5.28 | Equations (504) can reduce 42 to:
% 20.31/5.28 | (301) $false
% 20.31/5.28 |
% 20.31/5.28 |-The branch is then unsatisfiable
% 20.31/5.28 |-Branch two:
% 20.31/5.28 | (868) all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)
% 20.31/5.28 |
% 20.31/5.28 | Applying alpha-rule on (868) yields:
% 20.31/5.28 | (869) all_0_6_6 = e4
% 20.31/5.28 | (870) ~ (all_0_5_5 = e0)
% 20.31/5.28 | (871) ~ (all_0_41_41 = all_0_54_54)
% 20.31/5.28 |
% 20.31/5.28 | Equations (326,369) can reduce 871 to:
% 20.31/5.28 | (301) $false
% 20.31/5.28 |
% 20.31/5.28 |-The branch is then unsatisfiable
% 20.31/5.28 |-Branch two:
% 20.31/5.28 | (873) all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)
% 20.31/5.28 |
% 20.31/5.28 | Applying alpha-rule on (873) yields:
% 20.31/5.28 | (874) all_0_8_8 = e3
% 20.31/5.28 | (875) ~ (all_0_7_7 = e4)
% 20.31/5.28 | (857) ~ (all_0_39_39 = all_0_42_42)
% 20.31/5.28 |
% 20.31/5.28 | Combining equations (874,1730) yields a new equation:
% 20.31/5.28 | (572) e3 = e2
% 20.31/5.28 |
% 20.31/5.28 | Simplifying 572 yields:
% 20.31/5.28 | (573) e3 = e2
% 20.31/5.28 |
% 20.31/5.28 | Equations (573) can reduce 231 to:
% 20.31/5.28 | (301) $false
% 20.31/5.28 |
% 20.31/5.28 |-The branch is then unsatisfiable
% 20.31/5.28 |-Branch two:
% 20.31/5.28 | (880) all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)
% 20.31/5.28 |
% 20.31/5.28 | Applying alpha-rule on (880) yields:
% 20.31/5.28 | (881) all_0_11_11 = e3
% 20.31/5.28 | (882) ~ (all_0_10_10 = e2)
% 20.31/5.28 | (883) ~ (all_0_44_44 = all_0_47_47)
% 20.31/5.28 |
% 20.31/5.28 | Combining equations (881,1721) yields a new equation:
% 20.31/5.28 | (707) e3 = e1
% 20.31/5.28 |
% 20.31/5.28 | Simplifying 707 yields:
% 20.31/5.28 | (708) e3 = e1
% 20.31/5.28 |
% 20.31/5.28 | Equations (708) can reduce 234 to:
% 20.31/5.28 | (301) $false
% 20.31/5.28 |
% 20.31/5.28 |-The branch is then unsatisfiable
% 20.31/5.28 |-Branch two:
% 20.31/5.28 | (886) all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)
% 20.31/5.28 |
% 20.31/5.28 | Applying alpha-rule on (886) yields:
% 20.31/5.28 | (887) all_0_13_13 = e3
% 20.31/5.28 | (888) ~ (all_0_12_12 = e1)
% 20.31/5.28 | (889) ~ (all_0_45_45 = all_0_52_52)
% 20.31/5.28 |
% 20.31/5.28 | Combining equations (887,1729) yields a new equation:
% 20.31/5.28 | (420) e4 = e3
% 20.31/5.28 |
% 20.31/5.28 | Equations (420) can reduce 199 to:
% 20.31/5.28 | (301) $false
% 20.31/5.28 |
% 20.31/5.28 |-The branch is then unsatisfiable
% 20.31/5.28 |-Branch two:
% 20.31/5.28 | (893) all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)
% 20.31/5.28 |
% 20.31/5.28 | Applying alpha-rule on (893) yields:
% 20.31/5.28 | (894) all_0_15_15 = e3
% 20.31/5.28 | (895) ~ (all_0_14_14 = e0)
% 20.31/5.28 | (896) ~ (all_0_46_46 = all_0_55_55)
% 20.31/5.28 |
% 20.31/5.28 | Equations (570,1031) can reduce 896 to:
% 20.31/5.28 | (301) $false
% 20.31/5.28 |
% 20.31/5.28 |-The branch is then unsatisfiable
% 20.31/5.28 |-Branch two:
% 20.31/5.28 | (900) all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)
% 20.31/5.28 |
% 20.31/5.28 | Applying alpha-rule on (900) yields:
% 20.31/5.28 | (901) all_0_17_17 = e2
% 20.31/5.28 | (902) ~ (all_0_16_16 = e3)
% 20.31/5.28 | (883) ~ (all_0_44_44 = all_0_47_47)
% 20.31/5.28 |
% 20.31/5.28 | Combining equations (901,827) yields a new equation:
% 20.31/5.28 | (504) e4 = e2
% 20.31/5.28 |
% 20.31/5.28 | Equations (504) can reduce 42 to:
% 20.31/5.28 | (301) $false
% 20.31/5.28 |
% 20.31/5.28 |-The branch is then unsatisfiable
% 20.31/5.28 |-Branch two:
% 20.31/5.28 | (906) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)
% 20.31/5.28 |
% 20.31/5.28 | Applying alpha-rule on (906) yields:
% 20.31/5.28 | (907) all_0_20_20 = e2
% 20.31/5.28 | (908) ~ (all_0_19_19 = e1)
% 20.31/5.28 | (909) ~ (all_0_49_49 = all_0_53_53)
% 20.31/5.28 |
% 20.31/5.28 | Combining equations (907,808) yields a new equation:
% 20.31/5.28 | (573) e3 = e2
% 20.31/5.28 |
% 20.31/5.28 | Equations (573) can reduce 231 to:
% 20.31/5.28 | (301) $false
% 20.31/5.28 |
% 20.31/5.28 |-The branch is then unsatisfiable
% 20.31/5.28 |-Branch two:
% 20.31/5.28 | (912) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)
% 20.31/5.28 |
% 20.31/5.28 | Applying alpha-rule on (912) yields:
% 20.31/5.28 | (913) all_0_22_22 = e2
% 20.31/5.28 | (914) ~ (all_0_21_21 = e0)
% 20.31/5.28 | (915) ~ (all_0_50_50 = all_0_56_56)
% 20.31/5.28 |
% 20.31/5.28 | Equations (331,637) can reduce 915 to:
% 20.31/5.28 | (301) $false
% 20.31/5.28 |
% 20.31/5.28 |-The branch is then unsatisfiable
% 20.31/5.28 |-Branch two:
% 20.31/5.28 | (918) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)
% 20.31/5.28 |
% 20.31/5.28 | Applying alpha-rule on (918) yields:
% 20.31/5.28 | (919) all_0_24_24 = e1
% 20.31/5.28 | (920) ~ (all_0_23_23 = e4)
% 20.31/5.28 | (864) ~ (all_0_40_40 = all_0_51_51)
% 20.31/5.28 |
% 20.31/5.28 | Combining equations (919,290) yields a new equation:
% 20.31/5.28 | (708) e3 = e1
% 20.31/5.28 |
% 20.31/5.28 | Equations (708) can reduce 234 to:
% 20.31/5.28 | (301) $false
% 20.31/5.28 |
% 20.31/5.28 |-The branch is then unsatisfiable
% 20.31/5.28 |-Branch two:
% 20.31/5.28 | (924) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)
% 20.31/5.28 |
% 20.31/5.28 | Applying alpha-rule on (924) yields:
% 20.31/5.28 | (925) all_0_26_26 = e1
% 20.31/5.28 | (926) ~ (all_0_25_25 = e3)
% 20.31/5.28 | (889) ~ (all_0_45_45 = all_0_52_52)
% 20.31/5.28 |
% 20.31/5.28 | Combining equations (925,826) yields a new equation:
% 20.31/5.28 | (928) e2 = e1
% 20.31/5.28 |
% 20.31/5.28 | Equations (928) can reduce 122 to:
% 20.31/5.28 | (301) $false
% 20.31/5.28 |
% 20.31/5.28 |-The branch is then unsatisfiable
% 20.31/5.28 |-Branch two:
% 20.31/5.28 | (930) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)
% 20.31/5.28 |
% 20.31/5.28 | Applying alpha-rule on (930) yields:
% 20.31/5.28 | (931) all_0_28_28 = e1
% 20.31/5.28 | (932) ~ (all_0_27_27 = e2)
% 20.31/5.28 | (909) ~ (all_0_49_49 = all_0_53_53)
% 20.31/5.28 |
% 20.31/5.28 | Combining equations (931,1724) yields a new equation:
% 20.31/5.28 | (484) e4 = e1
% 20.31/5.28 |
% 20.31/5.28 | Equations (484) can reduce 114 to:
% 20.31/5.28 | (301) $false
% 20.31/5.28 |
% 20.31/5.28 |-The branch is then unsatisfiable
% 20.31/5.28 |-Branch two:
% 20.31/5.28 | (937) all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)
% 20.31/5.28 |
% 20.31/5.28 | Applying alpha-rule on (937) yields:
% 20.31/5.28 | (938) all_0_30_30 = e0
% 20.31/5.28 | (939) ~ (all_0_29_29 = e4)
% 20.31/5.28 | (871) ~ (all_0_41_41 = all_0_54_54)
% 20.31/5.28 |
% 20.31/5.28 | Equations (326,369) can reduce 871 to:
% 20.31/5.28 | (301) $false
% 20.31/5.28 |
% 20.31/5.28 |-The branch is then unsatisfiable
% 20.31/5.28 |-Branch two:
% 20.31/5.28 | (944) all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)
% 20.31/5.28 |
% 20.31/5.28 | Applying alpha-rule on (944) yields:
% 20.31/5.28 | (945) all_0_32_32 = e0
% 20.31/5.28 | (946) ~ (all_0_31_31 = e3)
% 20.31/5.28 | (896) ~ (all_0_46_46 = all_0_55_55)
% 20.31/5.28 |
% 20.31/5.28 | Equations (570,1031) can reduce 896 to:
% 20.31/5.28 | (301) $false
% 20.31/5.28 |
% 20.31/5.28 |-The branch is then unsatisfiable
% 20.31/5.28 |-Branch two:
% 20.31/5.28 | (949) all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)
% 20.31/5.28 |
% 20.31/5.28 | Applying alpha-rule on (949) yields:
% 20.31/5.28 | (950) all_0_34_34 = e0
% 20.31/5.28 | (951) ~ (all_0_33_33 = e2)
% 20.31/5.28 | (915) ~ (all_0_50_50 = all_0_56_56)
% 20.31/5.28 |
% 20.31/5.28 | Equations (331,637) can reduce 915 to:
% 20.31/5.28 | (301) $false
% 20.31/5.28 |
% 20.31/5.28 |-The branch is then unsatisfiable
% 20.31/5.28 |-Branch two:
% 20.31/5.28 | (956) all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)
% 20.31/5.28 |
% 20.31/5.28 | Applying alpha-rule on (956) yields:
% 20.31/5.28 | (957) all_0_36_36 = e0
% 20.31/5.28 | (958) ~ (all_0_35_35 = e1)
% 20.31/5.28 | (726) ~ (all_0_57_57 = e1)
% 20.31/5.28 |
% 20.31/5.28 | Equations (476) can reduce 726 to:
% 20.31/5.28 | (301) $false
% 20.31/5.28 |
% 20.31/5.28 |-The branch is then unsatisfiable
% 20.31/5.28 |-Branch two:
% 20.31/5.28 | (963) all_0_42_42 = e2 & ~ (all_0_44_44 = e4)
% 20.31/5.28 |
% 20.31/5.28 | Applying alpha-rule on (963) yields:
% 20.31/5.28 | (737) all_0_42_42 = e2
% 20.31/5.28 | (407) ~ (all_0_44_44 = e4)
% 20.31/5.28 |
% 20.31/5.28 | Combining equations (979,737) yields a new equation:
% 20.31/5.28 | (928) e2 = e1
% 20.31/5.28 |
% 20.31/5.28 | Equations (928) can reduce 122 to:
% 20.31/5.28 | (301) $false
% 20.31/5.28 |
% 20.31/5.28 |-The branch is then unsatisfiable
% 20.31/5.28 |-Branch two:
% 20.31/5.28 | (969) all_0_53_53 = e4 & ~ (all_0_51_51 = e2)
% 20.31/5.28 |
% 20.31/5.28 | Applying alpha-rule on (969) yields:
% 20.31/5.28 | (409) all_0_53_53 = e4
% 20.31/5.28 | (971) ~ (all_0_51_51 = e2)
% 20.31/5.28 |
% 20.31/5.28 | Combining equations (419,409) yields a new equation:
% 20.31/5.28 | (420) e4 = e3
% 20.31/5.28 |
% 20.31/5.28 | Equations (420) can reduce 199 to:
% 20.31/5.28 | (301) $false
% 20.31/5.28 |
% 20.31/5.28 |-The branch is then unsatisfiable
% 20.31/5.28 |-Branch two:
% 20.31/5.28 | (1935) ~ (all_0_55_55 = e3)
% 20.31/5.28 | (1936) all_0_56_56 = e3 | all_0_57_57 = e3 | all_0_58_58 = e3
% 20.31/5.28 |
% 20.31/5.29 +-Applying beta-rule and splitting (1025), into two cases.
% 20.31/5.29 |-Branch one:
% 20.31/5.29 | (455) all_0_52_52 = e3
% 20.31/5.29 |
% 20.31/5.29 | Combining equations (499,455) yields a new equation:
% 20.31/5.29 | (508) e4 = e3
% 20.31/5.29 |
% 20.31/5.29 | Simplifying 508 yields:
% 20.31/5.29 | (420) e4 = e3
% 20.31/5.29 |
% 20.31/5.29 | Equations (420) can reduce 199 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (506) ~ (all_0_52_52 = e3)
% 20.31/5.29 | (1031) all_0_55_55 = e3
% 20.31/5.29 |
% 20.31/5.29 | Equations (1031) can reduce 1935 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (730) ~ (all_0_45_45 = e2)
% 20.31/5.29 | (2747) all_0_49_49 = e2 | all_0_57_57 = e2
% 20.31/5.29 |
% 20.31/5.29 +-Applying beta-rule and splitting (2747), into two cases.
% 20.31/5.29 |-Branch one:
% 20.31/5.29 | (764) all_0_49_49 = e2
% 20.31/5.29 |
% 20.31/5.29 | Combining equations (491,764) yields a new equation:
% 20.31/5.29 | (553) e4 = e2
% 20.31/5.29 |
% 20.31/5.29 | Simplifying 553 yields:
% 20.31/5.29 | (504) e4 = e2
% 20.31/5.29 |
% 20.31/5.29 | Equations (504) can reduce 42 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (264) ~ (all_0_49_49 = e2)
% 20.31/5.29 | (458) all_0_57_57 = e2
% 20.31/5.29 |
% 20.31/5.29 | Combining equations (476,458) yields a new equation:
% 20.31/5.29 | (928) e2 = e1
% 20.31/5.29 |
% 20.31/5.29 | Equations (928) can reduce 122 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (994) ~ (all_0_40_40 = e3)
% 20.31/5.29 | (564) all_0_41_41 = e3
% 20.31/5.29 |
% 20.31/5.29 | Combining equations (326,564) yields a new equation:
% 20.31/5.29 | (415) e3 = e0
% 20.31/5.29 |
% 20.31/5.29 | Equations (415) can reduce 81 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (347) ~ (all_0_39_39 = e2)
% 20.31/5.29 | (348) all_0_43_43 = e2 | all_0_47_47 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2
% 20.31/5.29 |
% 20.31/5.29 +-Applying beta-rule and splitting (53), into two cases.
% 20.31/5.29 |-Branch one:
% 20.31/5.29 | (344) all_0_39_39 = e2
% 20.31/5.29 |
% 20.31/5.29 | Equations (344) can reduce 347 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (347) ~ (all_0_39_39 = e2)
% 20.31/5.29 | (1211) all_0_40_40 = e2 | all_0_41_41 = e2
% 20.31/5.29 |
% 20.31/5.29 +-Applying beta-rule and splitting (244), into two cases.
% 20.31/5.29 |-Branch one:
% 20.31/5.29 | (344) all_0_39_39 = e2
% 20.31/5.29 |
% 20.31/5.29 | Equations (344) can reduce 347 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (347) ~ (all_0_39_39 = e2)
% 20.31/5.29 | (1218) all_0_39_39 = e4 | all_0_39_39 = e3 | all_0_39_39 = e0
% 20.31/5.29 |
% 20.31/5.29 +-Applying beta-rule and splitting (982), into two cases.
% 20.31/5.29 |-Branch one:
% 20.31/5.29 | (487) all_0_49_49 = e1
% 20.31/5.29 |
% 20.31/5.29 | Combining equations (491,487) yields a new equation:
% 20.31/5.29 | (858) e4 = e1
% 20.31/5.29 |
% 20.31/5.29 | Simplifying 858 yields:
% 20.31/5.29 | (484) e4 = e1
% 20.31/5.29 |
% 20.31/5.29 | Equations (484) can reduce 114 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (478) ~ (all_0_49_49 = e1)
% 20.31/5.29 | (476) all_0_57_57 = e1
% 20.31/5.29 |
% 20.31/5.29 +-Applying beta-rule and splitting (132), into two cases.
% 20.31/5.29 |-Branch one:
% 20.31/5.29 | (1031) all_0_55_55 = e3
% 20.31/5.29 |
% 20.31/5.29 | Equations (1031) can reduce 250 to:
% 20.31/5.29 | (698) ~ (all_0_39_39 = e3)
% 20.31/5.29 |
% 20.31/5.29 +-Applying beta-rule and splitting (1218), into two cases.
% 20.31/5.29 |-Branch one:
% 20.31/5.29 | (428) all_0_39_39 = e4
% 20.31/5.29 |
% 20.31/5.29 | Equations (428) can reduce 296 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (296) ~ (all_0_39_39 = e4)
% 20.31/5.29 | (1222) all_0_39_39 = e3 | all_0_39_39 = e0
% 20.31/5.29 |
% 20.31/5.29 +-Applying beta-rule and splitting (1222), into two cases.
% 20.31/5.29 |-Branch one:
% 20.31/5.29 | (323) all_0_39_39 = e0
% 20.31/5.29 |
% 20.31/5.29 | Equations (323) can reduce 322 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (322) ~ (all_0_39_39 = e0)
% 20.31/5.29 | (694) all_0_39_39 = e3
% 20.31/5.29 |
% 20.31/5.29 | Equations (694) can reduce 698 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (1935) ~ (all_0_55_55 = e3)
% 20.31/5.29 | (1936) all_0_56_56 = e3 | all_0_57_57 = e3 | all_0_58_58 = e3
% 20.31/5.29 |
% 20.31/5.29 +-Applying beta-rule and splitting (1936), into two cases.
% 20.31/5.29 |-Branch one:
% 20.31/5.29 | (423) all_0_56_56 = e3
% 20.31/5.29 |
% 20.31/5.29 | Combining equations (637,423) yields a new equation:
% 20.31/5.29 | (573) e3 = e2
% 20.31/5.29 |
% 20.31/5.29 | Equations (573) can reduce 231 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (596) ~ (all_0_56_56 = e3)
% 20.31/5.29 | (1941) all_0_57_57 = e3 | all_0_58_58 = e3
% 20.31/5.29 |
% 20.31/5.29 +-Applying beta-rule and splitting (1941), into two cases.
% 20.31/5.29 |-Branch one:
% 20.31/5.29 | (473) all_0_57_57 = e3
% 20.31/5.29 |
% 20.31/5.29 | Combining equations (476,473) yields a new equation:
% 20.31/5.29 | (708) e3 = e1
% 20.31/5.29 |
% 20.31/5.29 | Equations (708) can reduce 234 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (425) ~ (all_0_57_57 = e3)
% 20.31/5.29 | (366) all_0_58_58 = e3
% 20.31/5.29 |
% 20.31/5.29 | Combining equations (366,304) yields a new equation:
% 20.31/5.29 | (420) e4 = e3
% 20.31/5.29 |
% 20.31/5.29 | Equations (420) can reduce 199 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (407) ~ (all_0_44_44 = e4)
% 20.31/5.29 | (408) all_0_53_53 = e4 | all_0_56_56 = e4
% 20.31/5.29 |
% 20.31/5.29 +-Applying beta-rule and splitting (408), into two cases.
% 20.31/5.29 |-Branch one:
% 20.31/5.29 | (409) all_0_53_53 = e4
% 20.31/5.29 |
% 20.31/5.29 | Combining equations (409,419) yields a new equation:
% 20.31/5.29 | (508) e4 = e3
% 20.31/5.29 |
% 20.31/5.29 | Simplifying 508 yields:
% 20.31/5.29 | (420) e4 = e3
% 20.31/5.29 |
% 20.31/5.29 | Equations (420) can reduce 199 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (522) ~ (all_0_53_53 = e4)
% 20.31/5.29 | (523) all_0_56_56 = e4
% 20.31/5.29 |
% 20.31/5.29 | Combining equations (637,523) yields a new equation:
% 20.31/5.29 | (504) e4 = e2
% 20.31/5.29 |
% 20.31/5.29 | Equations (504) can reduce 42 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (486) ~ (all_0_47_47 = e1)
% 20.31/5.29 | (487) all_0_49_49 = e1
% 20.31/5.29 |
% 20.31/5.29 | Combining equations (491,487) yields a new equation:
% 20.31/5.29 | (858) e4 = e1
% 20.31/5.29 |
% 20.31/5.29 | Simplifying 858 yields:
% 20.31/5.29 | (484) e4 = e1
% 20.31/5.29 |
% 20.31/5.29 | Equations (484) can reduce 114 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (464) ~ (all_0_49_49 = e4)
% 20.31/5.29 | (335) all_0_50_50 = e4
% 20.31/5.29 |
% 20.31/5.29 | Combining equations (331,335) yields a new equation:
% 20.31/5.29 | (504) e4 = e2
% 20.31/5.29 |
% 20.31/5.29 | Equations (504) can reduce 42 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (270) ~ (all_0_56_56 = e2)
% 20.31/5.29 | (640) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0
% 20.31/5.29 |
% 20.31/5.29 +-Applying beta-rule and splitting (21), into two cases.
% 20.31/5.29 |-Branch one:
% 20.31/5.29 | (403) all_0_44_44 = e4
% 20.31/5.29 |
% 20.31/5.29 | Equations (403) can reduce 124 to:
% 20.31/5.29 | (411) ~ (all_0_56_56 = e4)
% 20.31/5.29 |
% 20.31/5.29 | Simplifying 411 yields:
% 20.31/5.29 | (376) ~ (all_0_56_56 = e4)
% 20.31/5.29 |
% 20.31/5.29 +-Applying beta-rule and splitting (640), into two cases.
% 20.31/5.29 |-Branch one:
% 20.31/5.29 | (523) all_0_56_56 = e4
% 20.31/5.29 |
% 20.31/5.29 | Equations (523) can reduce 376 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (376) ~ (all_0_56_56 = e4)
% 20.31/5.29 | (1123) all_0_56_56 = e3 | all_0_56_56 = e0
% 20.31/5.29 |
% 20.31/5.29 +-Applying beta-rule and splitting (1123), into two cases.
% 20.31/5.29 |-Branch one:
% 20.31/5.29 | (538) all_0_56_56 = e0
% 20.31/5.29 |
% 20.31/5.29 | Equations (538) can reduce 374 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (374) ~ (all_0_56_56 = e0)
% 20.31/5.29 | (423) all_0_56_56 = e3
% 20.31/5.29 |
% 20.31/5.29 | Equations (423) can reduce 596 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (407) ~ (all_0_44_44 = e4)
% 20.31/5.29 | (408) all_0_53_53 = e4 | all_0_56_56 = e4
% 20.31/5.29 |
% 20.31/5.29 +-Applying beta-rule and splitting (408), into two cases.
% 20.31/5.29 |-Branch one:
% 20.31/5.29 | (409) all_0_53_53 = e4
% 20.31/5.29 |
% 20.31/5.29 | Combining equations (409,419) yields a new equation:
% 20.31/5.29 | (508) e4 = e3
% 20.31/5.29 |
% 20.31/5.29 | Simplifying 508 yields:
% 20.31/5.29 | (420) e4 = e3
% 20.31/5.29 |
% 20.31/5.29 | Equations (420) can reduce 199 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (522) ~ (all_0_53_53 = e4)
% 20.31/5.29 | (523) all_0_56_56 = e4
% 20.31/5.29 |
% 20.31/5.29 | Equations (523) can reduce 376 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (410) ~ (all_0_52_52 = e4)
% 20.31/5.29 | (409) all_0_53_53 = e4
% 20.31/5.29 |
% 20.31/5.29 | Combining equations (409,419) yields a new equation:
% 20.31/5.29 | (508) e4 = e3
% 20.31/5.29 |
% 20.31/5.29 | Simplifying 508 yields:
% 20.31/5.29 | (420) e4 = e3
% 20.31/5.29 |
% 20.31/5.29 | Equations (420) can reduce 199 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (309) ~ (all_0_41_41 = e0)
% 20.31/5.29 | (1650) all_0_46_46 = e0 | all_0_50_50 = e0 | all_0_58_58 = e0
% 20.31/5.29 |
% 20.31/5.29 +-Applying beta-rule and splitting (3875), into two cases.
% 20.31/5.29 |-Branch one:
% 20.31/5.29 | (545) all_0_41_41 = e4
% 20.31/5.29 |
% 20.31/5.29 | Equations (545) can reduce 1038 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (1038) ~ (all_0_41_41 = e4)
% 20.31/5.29 | (3879) all_0_41_41 = e3 | all_0_41_41 = e0
% 20.31/5.29 |
% 20.31/5.29 +-Applying beta-rule and splitting (3879), into two cases.
% 20.31/5.29 |-Branch one:
% 20.31/5.29 | (326) all_0_41_41 = e0
% 20.31/5.29 |
% 20.31/5.29 | Equations (326) can reduce 309 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (309) ~ (all_0_41_41 = e0)
% 20.31/5.29 | (564) all_0_41_41 = e3
% 20.31/5.29 |
% 20.31/5.29 | Equations (564) can reduce 568 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (785) ~ (all_0_42_42 = e1)
% 20.31/5.29 | (724) all_0_54_54 = e1
% 20.31/5.29 |
% 20.31/5.29 | Combining equations (369,724) yields a new equation:
% 20.31/5.29 | (935) e1 = e0
% 20.31/5.29 |
% 20.31/5.29 | Equations (935) can reduce 247 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (540) ~ (all_0_38_38 = e4)
% 20.31/5.29 | (315) all_0_38_38 = e0
% 20.31/5.29 |
% 20.31/5.29 | Equations (315) can reduce 319 to:
% 20.31/5.29 | (301) $false
% 20.31/5.29 |
% 20.31/5.29 |-The branch is then unsatisfiable
% 20.31/5.29 |-Branch two:
% 20.31/5.29 | (315) all_0_38_38 = e0
% 20.31/5.29 | (545) all_0_41_41 = e4
% 20.31/5.29 |
% 20.31/5.29 | Equations (315) can reduce 3 to:
% 20.31/5.29 | (1168) ~ (all_0_39_39 = e0)
% 20.31/5.29 |
% 20.31/5.29 | Simplifying 1168 yields:
% 20.31/5.29 | (322) ~ (all_0_39_39 = e0)
% 20.31/5.29 |
% 20.31/5.29 | Equations (315) can reduce 187 to:
% 20.31/5.29 | (677) ~ (all_0_40_40 = e0)
% 20.31/5.29 |
% 20.31/5.29 | Simplifying 677 yields:
% 20.31/5.29 | (171) ~ (all_0_40_40 = e0)
% 20.31/5.29 |
% 20.31/5.29 | Equations (545) can reduce 11 to:
% 20.31/5.29 | (296) ~ (all_0_39_39 = e4)
% 20.31/5.29 |
% 20.31/5.29 | Equations (545) can reduce 111 to:
% 20.31/5.29 | (298) ~ (all_0_40_40 = e4)
% 20.31/5.29 |
% 20.31/5.29 | Equations (545) can reduce 126 to:
% 20.31/5.29 | (1175) ~ (all_0_46_46 = e4)
% 20.31/5.29 |
% 20.31/5.29 | Simplifying 1175 yields:
% 20.31/5.29 | (1083) ~ (all_0_46_46 = e4)
% 20.31/5.29 |
% 20.31/5.29 | Equations (545) can reduce 224 to:
% 20.31/5.30 | (2869) ~ (all_0_58_58 = e4)
% 20.31/5.30 |
% 20.31/5.30 | Simplifying 2869 yields:
% 20.31/5.30 | (299) ~ (all_0_58_58 = e4)
% 20.31/5.30 |
% 20.31/5.30 | From (545) and (256) follows:
% 20.31/5.30 | (693) op(e4, e4) = all_0_5_5
% 20.31/5.30 |
% 20.31/5.30 | From (315) and (59) follows:
% 20.31/5.30 | (687) op(e4, e4) = e0
% 20.31/5.30 |
% 20.31/5.30 +-Applying beta-rule and splitting (164), into two cases.
% 20.31/5.30 |-Branch one:
% 20.31/5.30 | (300) all_0_58_58 = e2
% 20.31/5.30 |
% 20.31/5.30 | Equations (300) can reduce 274 to:
% 20.31/5.30 | (301) $false
% 20.31/5.30 |
% 20.31/5.30 |-The branch is then unsatisfiable
% 20.31/5.30 |-Branch two:
% 20.31/5.30 | (274) ~ (all_0_58_58 = e2)
% 20.31/5.30 | (303) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e0
% 20.31/5.30 |
% 20.31/5.30 +-Applying beta-rule and splitting (214), into two cases.
% 20.31/5.30 |-Branch one:
% 20.31/5.30 | (564) all_0_41_41 = e3
% 20.31/5.30 |
% 20.31/5.30 | Combining equations (545,564) yields a new equation:
% 20.31/5.30 | (508) e4 = e3
% 20.31/5.30 |
% 20.31/5.30 | Simplifying 508 yields:
% 20.31/5.30 | (420) e4 = e3
% 20.31/5.30 |
% 20.31/5.30 | Equations (420) can reduce 199 to:
% 20.31/5.30 | (301) $false
% 20.31/5.30 |
% 20.31/5.30 |-The branch is then unsatisfiable
% 20.31/5.30 |-Branch two:
% 20.31/5.30 | (568) ~ (all_0_41_41 = e3)
% 20.31/5.30 | (569) all_0_46_46 = e3 | all_0_58_58 = e3
% 20.31/5.30 |
% 20.31/5.30 +-Applying beta-rule and splitting (303), into two cases.
% 20.31/5.30 |-Branch one:
% 20.31/5.30 | (304) all_0_58_58 = e4
% 20.31/5.30 |
% 20.31/5.30 | Equations (304) can reduce 299 to:
% 20.31/5.30 | (301) $false
% 20.31/5.30 |
% 20.31/5.30 |-The branch is then unsatisfiable
% 20.31/5.30 |-Branch two:
% 20.31/5.30 | (299) ~ (all_0_58_58 = e4)
% 20.31/5.30 | (307) all_0_58_58 = e3 | all_0_58_58 = e0
% 20.31/5.30 |
% 20.31/5.30 +-Applying beta-rule and splitting (569), into two cases.
% 20.31/5.30 |-Branch one:
% 20.31/5.30 | (570) all_0_46_46 = e3
% 20.31/5.30 |
% 20.31/5.30 | Equations (570) can reduce 14 to:
% 20.31/5.30 | (68) ~ (all_0_42_42 = e3)
% 20.31/5.30 |
% 20.31/5.30 | Equations (570) can reduce 18 to:
% 20.31/5.30 | (417) ~ (all_0_44_44 = e3)
% 20.31/5.30 |
% 20.31/5.30 | Equations (570) can reduce 34 to:
% 20.31/5.30 | (770) ~ (all_0_45_45 = e3)
% 20.31/5.30 |
% 20.31/5.30 | Equations (570) can reduce 184 to:
% 20.31/5.30 | (2875) ~ (all_0_58_58 = e3)
% 20.31/5.30 |
% 20.31/5.30 | Simplifying 2875 yields:
% 20.31/5.30 | (293) ~ (all_0_58_58 = e3)
% 20.31/5.30 |
% 20.31/5.30 | Equations (570) can reduce 1083 to:
% 20.31/5.30 | (426) ~ (e4 = e3)
% 20.31/5.30 |
% 20.31/5.30 | Simplifying 426 yields:
% 20.31/5.30 | (199) ~ (e4 = e3)
% 20.31/5.30 |
% 20.31/5.30 | From (570) and (39) follows:
% 20.31/5.30 | (4870) op(e3, e3) = all_0_14_14
% 20.31/5.30 |
% 20.31/5.30 | From (570) and (183) follows:
% 20.31/5.30 | (4092) op(e3, e0) = all_0_15_15
% 20.31/5.30 |
% 20.31/5.30 | From (570) and (212) follows:
% 20.31/5.30 | (4093) op(e3, e0) = e3
% 20.31/5.30 |
% 20.31/5.30 +-Applying beta-rule and splitting (307), into two cases.
% 20.31/5.30 |-Branch one:
% 20.31/5.30 | (308) all_0_58_58 = e0
% 20.31/5.30 |
% 20.31/5.30 | Equations (308) can reduce 156 to:
% 20.31/5.30 | (682) ~ (all_0_54_54 = e0)
% 20.31/5.30 |
% 20.31/5.30 | Equations (308) can reduce 116 to:
% 20.31/5.30 | (372) ~ (all_0_55_55 = e0)
% 20.31/5.30 |
% 20.31/5.30 | Equations (308) can reduce 2 to:
% 20.31/5.30 | (374) ~ (all_0_56_56 = e0)
% 20.31/5.30 |
% 20.31/5.30 | Equations (308) can reduce 5 to:
% 20.31/5.30 | (189) ~ (all_0_57_57 = e0)
% 20.31/5.30 |
% 20.31/5.30 +-Applying beta-rule and splitting (6), into two cases.
% 20.31/5.30 |-Branch one:
% 20.31/5.30 | (323) all_0_39_39 = e0
% 20.31/5.30 |
% 20.31/5.30 | Equations (323) can reduce 322 to:
% 20.31/5.30 | (301) $false
% 20.31/5.30 |
% 20.31/5.30 |-The branch is then unsatisfiable
% 20.31/5.30 |-Branch two:
% 20.31/5.30 | (322) ~ (all_0_39_39 = e0)
% 20.31/5.30 | (512) all_0_43_43 = e0 | all_0_47_47 = e0 | all_0_55_55 = e0
% 20.31/5.30 |
% 20.31/5.30 +-Applying beta-rule and splitting (512), into two cases.
% 20.31/5.30 |-Branch one:
% 20.31/5.30 | (513) all_0_43_43 = e0
% 20.31/5.30 |
% 20.31/5.30 | Equations (513) can reduce 155 to:
% 20.31/5.30 | (322) ~ (all_0_39_39 = e0)
% 20.31/5.30 |
% 20.31/5.30 | Equations (513) can reduce 8 to:
% 20.31/5.30 | (680) ~ (all_0_42_42 = e0)
% 20.31/5.30 |
% 20.31/5.30 | Equations (513) can reduce 77 to:
% 20.31/5.30 | (4084) ~ (all_0_44_44 = e0)
% 20.31/5.30 |
% 20.31/5.30 | Simplifying 4084 yields:
% 20.31/5.30 | (525) ~ (all_0_44_44 = e0)
% 20.31/5.30 |
% 20.31/5.30 | Equations (513) can reduce 72 to:
% 20.31/5.30 | (622) ~ (all_0_45_45 = e0)
% 20.31/5.30 |
% 20.31/5.30 | Simplifying 622 yields:
% 20.31/5.30 | (163) ~ (all_0_45_45 = e0)
% 20.31/5.30 |
% 20.31/5.30 | Equations (513) can reduce 10 to:
% 20.31/5.30 | (1320) ~ (all_0_47_47 = e0)
% 20.31/5.30 |
% 20.31/5.30 | Simplifying 1320 yields:
% 20.31/5.30 | (328) ~ (all_0_47_47 = e0)
% 20.31/5.30 |
% 20.31/5.30 | Equations (513) can reduce 16 to:
% 20.31/5.30 | (371) ~ (all_0_55_55 = e0)
% 20.31/5.30 |
% 20.31/5.30 | Simplifying 371 yields:
% 20.31/5.30 | (372) ~ (all_0_55_55 = e0)
% 20.31/5.30 |
% 20.31/5.30 | From (513) and (249) follows:
% 20.31/5.30 | (4893) op(e3, e3) = e0
% 20.31/5.30 |
% 20.31/5.30 | Instantiating formula (151) with e4, e4, e0, all_0_5_5 and discharging atoms op(e4, e4) = all_0_5_5, op(e4, e4) = e0, yields:
% 20.31/5.30 | (802) all_0_5_5 = e0
% 20.31/5.30 |
% 20.31/5.30 | Instantiating formula (151) with e3, e3, e0, all_0_14_14 and discharging atoms op(e3, e3) = all_0_14_14, op(e3, e3) = e0, yields:
% 20.31/5.30 | (2994) all_0_14_14 = e0
% 20.31/5.30 |
% 20.31/5.30 | Instantiating formula (151) with e3, e0, e3, all_0_15_15 and discharging atoms op(e3, e0) = all_0_15_15, op(e3, e0) = e3, yields:
% 20.31/5.30 | (894) all_0_15_15 = e3
% 20.31/5.30 |
% 20.31/5.30 | From (802) and (693) follows:
% 20.31/5.30 | (687) op(e4, e4) = e0
% 20.31/5.30 |
% 20.31/5.30 | From (2994) and (4870) follows:
% 20.31/5.30 | (4893) op(e3, e3) = e0
% 20.31/5.30 |
% 20.31/5.30 | From (894) and (4092) follows:
% 20.31/5.30 | (4093) op(e3, e0) = e3
% 20.31/5.30 |
% 20.31/5.30 +-Applying beta-rule and splitting (201), into two cases.
% 20.31/5.30 |-Branch one:
% 20.31/5.30 | (455) all_0_52_52 = e3
% 20.31/5.30 |
% 20.31/5.30 | Equations (455) can reduce 129 to:
% 20.31/5.30 | (698) ~ (all_0_39_39 = e3)
% 20.31/5.30 |
% 20.31/5.30 | Equations (455) can reduce 60 to:
% 20.31/5.30 | (1274) ~ (all_0_53_53 = e3)
% 20.31/5.30 |
% 20.31/5.30 | Simplifying 1274 yields:
% 20.31/5.30 | (422) ~ (all_0_53_53 = e3)
% 20.31/5.30 |
% 20.31/5.30 | From (455) and (218) follows:
% 20.31/5.30 | (2082) op(e3, e3) = all_0_26_26
% 20.31/5.30 |
% 20.31/5.30 | From (455) and (107) follows:
% 20.31/5.30 | (2084) op(e1, e3) = e3
% 20.31/5.30 |
% 20.31/5.30 +-Applying beta-rule and splitting (244), into two cases.
% 20.31/5.30 |-Branch one:
% 20.31/5.30 | (344) all_0_39_39 = e2
% 20.31/5.30 |
% 20.31/5.30 | Equations (344) can reduce 31 to:
% 20.31/5.30 | (4199) ~ (all_0_40_40 = e2)
% 20.31/5.30 |
% 20.31/5.30 | Simplifying 4199 yields:
% 20.31/5.30 | (729) ~ (all_0_40_40 = e2)
% 20.31/5.30 |
% 20.31/5.30 | Equations (344) can reduce 157 to:
% 20.31/5.30 | (2042) ~ (all_0_47_47 = e2)
% 20.31/5.30 |
% 20.31/5.30 | Simplifying 2042 yields:
% 20.31/5.30 | (262) ~ (all_0_47_47 = e2)
% 20.31/5.30 |
% 20.31/5.30 | Equations (344) can reduce 250 to:
% 20.31/5.30 | (1270) ~ (all_0_55_55 = e2)
% 20.31/5.30 |
% 20.31/5.30 | Simplifying 1270 yields:
% 20.31/5.30 | (1140) ~ (all_0_55_55 = e2)
% 20.31/5.30 |
% 20.31/5.30 | Equations (344) can reduce 296 to:
% 20.31/5.30 | (271) ~ (e4 = e2)
% 20.31/5.30 |
% 20.31/5.30 | Simplifying 271 yields:
% 20.31/5.30 | (42) ~ (e4 = e2)
% 20.31/5.30 |
% 20.31/5.30 | Equations (344) can reduce 322 to:
% 20.31/5.30 | (133) ~ (e2 = e0)
% 20.31/5.30 |
% 20.31/5.30 | From (344) and (82) follows:
% 20.31/5.30 | (4204) op(e2, e4) = all_0_1_1
% 20.31/5.30 |
% 20.31/5.30 | From (344) and (112) follows:
% 20.31/5.30 | (670) op(e2, e3) = all_0_2_2
% 20.31/5.30 |
% 20.31/5.30 | From (344) and (154) follows:
% 20.31/5.30 | (671) op(e4, e3) = e2
% 20.31/5.30 |
% 20.31/5.30 +-Applying beta-rule and splitting (230), into two cases.
% 20.31/5.30 |-Branch one:
% 20.31/5.30 | (413) all_0_44_44 = e3
% 20.31/5.30 |
% 20.31/5.30 | Equations (413) can reduce 417 to:
% 20.31/5.30 | (301) $false
% 20.31/5.30 |
% 20.31/5.30 |-The branch is then unsatisfiable
% 20.31/5.30 |-Branch two:
% 20.31/5.30 | (417) ~ (all_0_44_44 = e3)
% 20.31/5.30 | (418) all_0_53_53 = e3 | all_0_56_56 = e3
% 20.31/5.30 |
% 20.31/5.30 +-Applying beta-rule and splitting (418), into two cases.
% 20.31/5.30 |-Branch one:
% 20.31/5.30 | (419) all_0_53_53 = e3
% 20.31/5.30 |
% 20.31/5.30 | Equations (419) can reduce 422 to:
% 20.31/5.30 | (301) $false
% 20.31/5.30 |
% 20.31/5.30 |-The branch is then unsatisfiable
% 20.31/5.30 |-Branch two:
% 20.31/5.30 | (422) ~ (all_0_53_53 = e3)
% 20.31/5.30 | (423) all_0_56_56 = e3
% 20.31/5.30 |
% 20.31/5.30 | Equations (423) can reduce 124 to:
% 20.31/5.30 | (417) ~ (all_0_44_44 = e3)
% 20.31/5.30 |
% 20.31/5.30 | From (423) and (202) follows:
% 20.31/5.30 | (3367) op(e3, e2) = all_0_34_34
% 20.31/5.30 |
% 20.31/5.30 | From (423) and (197) follows:
% 20.31/5.30 | (4141) op(e3, e0) = all_0_33_33
% 20.31/5.30 |
% 20.31/5.30 | From (423) and (182) follows:
% 20.31/5.30 | (4142) op(e0, e2) = e3
% 20.31/5.30 |
% 20.31/5.30 +-Applying beta-rule and splitting (254), into two cases.
% 20.31/5.30 |-Branch one:
% 20.31/5.30 | (1380) all_0_40_40 = e2
% 20.31/5.30 |
% 20.31/5.30 | Equations (1380) can reduce 729 to:
% 20.31/5.30 | (301) $false
% 20.31/5.30 |
% 20.31/5.30 |-The branch is then unsatisfiable
% 20.31/5.30 |-Branch two:
% 20.31/5.30 | (729) ~ (all_0_40_40 = e2)
% 20.31/5.30 | (3733) all_0_40_40 = e4 | all_0_40_40 = e3
% 20.31/5.30 |
% 20.31/5.30 +-Applying beta-rule and splitting (246), into two cases.
% 20.31/5.30 |-Branch one:
% 20.31/5.30 | (654) all_0_51_51 = e4
% 20.31/5.30 |
% 20.31/5.30 | Combining equations (654,276) yields a new equation:
% 20.31/5.30 | (553) e4 = e2
% 20.31/5.30 |
% 20.31/5.30 | Simplifying 553 yields:
% 20.31/5.30 | (504) e4 = e2
% 20.31/5.30 |
% 20.31/5.30 | Equations (504) can reduce 42 to:
% 20.31/5.30 | (301) $false
% 20.31/5.30 |
% 20.31/5.30 |-The branch is then unsatisfiable
% 20.31/5.30 |-Branch two:
% 20.31/5.30 | (657) ~ (all_0_51_51 = e4)
% 20.31/5.30 | (658) all_0_52_52 = e4 | all_0_53_53 = e4
% 20.31/5.30 |
% 20.31/5.30 +-Applying beta-rule and splitting (658), into two cases.
% 20.31/5.30 |-Branch one:
% 20.31/5.30 | (499) all_0_52_52 = e4
% 20.31/5.30 |
% 20.31/5.30 | Combining equations (499,455) yields a new equation:
% 20.31/5.30 | (508) e4 = e3
% 20.31/5.30 |
% 20.31/5.30 | Simplifying 508 yields:
% 20.31/5.30 | (420) e4 = e3
% 20.31/5.30 |
% 20.31/5.30 | Equations (420) can reduce 199 to:
% 20.31/5.30 | (301) $false
% 20.31/5.30 |
% 20.31/5.30 |-The branch is then unsatisfiable
% 20.31/5.30 |-Branch two:
% 20.31/5.30 | (410) ~ (all_0_52_52 = e4)
% 20.31/5.30 | (409) all_0_53_53 = e4
% 20.31/5.30 |
% 20.31/5.30 | From (409) and (90) follows:
% 20.31/5.30 | (3353) op(e4, e1) = all_0_27_27
% 20.31/5.30 |
% 20.31/5.30 | From (409) and (99) follows:
% 20.31/5.31 | (4125) op(e1, e2) = e4
% 20.31/5.31 |
% 20.31/5.31 +-Applying beta-rule and splitting (3733), into two cases.
% 20.31/5.31 |-Branch one:
% 20.31/5.31 | (465) all_0_40_40 = e4
% 20.31/5.31 |
% 20.31/5.31 | Equations (465) can reduce 298 to:
% 20.31/5.31 | (301) $false
% 20.31/5.31 |
% 20.31/5.31 |-The branch is then unsatisfiable
% 20.31/5.31 |-Branch two:
% 20.31/5.31 | (298) ~ (all_0_40_40 = e4)
% 20.31/5.31 | (768) all_0_40_40 = e3
% 20.31/5.31 |
% 20.31/5.31 | Equations (768) can reduce 108 to:
% 20.31/5.31 | (769) ~ (all_0_45_45 = e3)
% 20.31/5.31 |
% 20.31/5.31 | Simplifying 769 yields:
% 20.31/5.31 | (770) ~ (all_0_45_45 = e3)
% 20.31/5.31 |
% 20.31/5.31 | Equations (768) can reduce 195 to:
% 20.31/5.31 | (3300) ~ (all_0_49_49 = e3)
% 20.31/5.31 |
% 20.31/5.31 | Simplifying 3300 yields:
% 20.31/5.31 | (191) ~ (all_0_49_49 = e3)
% 20.31/5.31 |
% 20.31/5.31 | Equations (768) can reduce 15 to:
% 20.31/5.31 | (424) ~ (all_0_57_57 = e3)
% 20.31/5.31 |
% 20.31/5.31 | Simplifying 424 yields:
% 20.31/5.31 | (425) ~ (all_0_57_57 = e3)
% 20.31/5.31 |
% 20.31/5.31 | Equations (768) can reduce 729 to:
% 20.31/5.31 | (231) ~ (e3 = e2)
% 20.31/5.31 |
% 20.31/5.31 | Equations (768) can reduce 171 to:
% 20.31/5.31 | (81) ~ (e3 = e0)
% 20.31/5.31 |
% 20.31/5.31 | From (768) and (54) follows:
% 20.31/5.31 | (4227) op(e3, e4) = all_0_3_3
% 20.31/5.31 |
% 20.31/5.31 | From (768) and (252) follows:
% 20.31/5.31 | (773) op(e3, e1) = all_0_4_4
% 20.31/5.31 |
% 20.31/5.31 | From (768) and (117) follows:
% 20.31/5.31 | (774) op(e4, e1) = e3
% 20.31/5.31 |
% 20.31/5.31 +-Applying beta-rule and splitting (89), into two cases.
% 20.31/5.31 |-Branch one:
% 20.31/5.31 | (600) all_0_54_54 = e2
% 20.31/5.31 |
% 20.31/5.31 | Equations (600) can reduce 283 to:
% 20.31/5.31 | (301) $false
% 20.31/5.31 |
% 20.31/5.31 |-The branch is then unsatisfiable
% 20.31/5.31 |-Branch two:
% 20.31/5.31 | (283) ~ (all_0_54_54 = e2)
% 20.31/5.31 | (603) all_0_55_55 = e2 | all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2
% 20.31/5.31 |
% 20.31/5.31 +-Applying beta-rule and splitting (603), into two cases.
% 20.31/5.31 |-Branch one:
% 20.31/5.31 | (450) all_0_55_55 = e2
% 20.31/5.31 |
% 20.31/5.31 | Equations (450) can reduce 1140 to:
% 20.31/5.31 | (301) $false
% 20.31/5.31 |
% 20.31/5.31 |-The branch is then unsatisfiable
% 20.31/5.31 |-Branch two:
% 20.31/5.31 | (1140) ~ (all_0_55_55 = e2)
% 20.31/5.31 | (1141) all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2
% 20.31/5.31 |
% 20.31/5.31 +-Applying beta-rule and splitting (1141), into two cases.
% 20.31/5.31 |-Branch one:
% 20.31/5.31 | (637) all_0_56_56 = e2
% 20.31/5.31 |
% 20.31/5.31 | Combining equations (637,423) yields a new equation:
% 20.31/5.31 | (573) e3 = e2
% 20.31/5.31 |
% 20.31/5.31 | Equations (573) can reduce 231 to:
% 20.31/5.31 | (301) $false
% 20.31/5.31 |
% 20.31/5.31 |-The branch is then unsatisfiable
% 20.31/5.31 |-Branch two:
% 20.31/5.31 | (270) ~ (all_0_56_56 = e2)
% 20.31/5.31 | (1449) all_0_57_57 = e2 | all_0_58_58 = e2
% 20.31/5.31 |
% 20.31/5.31 +-Applying beta-rule and splitting (1449), into two cases.
% 20.31/5.31 |-Branch one:
% 20.31/5.31 | (458) all_0_57_57 = e2
% 20.31/5.31 |
% 20.31/5.31 | Equations (458) can reduce 75 to:
% 20.31/5.31 | (730) ~ (all_0_45_45 = e2)
% 20.31/5.31 |
% 20.31/5.31 | Equations (458) can reduce 94 to:
% 20.31/5.31 | (264) ~ (all_0_49_49 = e2)
% 20.31/5.31 |
% 20.31/5.31 | Equations (458) can reduce 20 to:
% 20.31/5.31 | (1140) ~ (all_0_55_55 = e2)
% 20.31/5.31 |
% 20.31/5.31 | Equations (458) can reduce 425 to:
% 20.31/5.31 | (284) ~ (e3 = e2)
% 20.31/5.31 |
% 20.31/5.31 | Simplifying 284 yields:
% 20.31/5.31 | (231) ~ (e3 = e2)
% 20.31/5.31 |
% 20.31/5.31 | Equations (458) can reduce 189 to:
% 20.31/5.31 | (133) ~ (e2 = e0)
% 20.31/5.31 |
% 20.31/5.31 | From (458) and (73) follows:
% 20.31/5.31 | (735) op(e2, e1) = all_0_36_36
% 20.31/5.31 |
% 20.31/5.31 | From (458) and (172) follows:
% 20.66/5.31 | (4225) op(e0, e1) = e2
% 20.66/5.31 |
% 20.66/5.31 +-Applying beta-rule and splitting (66), into two cases.
% 20.66/5.31 |-Branch one:
% 20.66/5.31 | (737) all_0_42_42 = e2
% 20.66/5.31 |
% 20.66/5.31 | Equations (737) can reduce 277 to:
% 20.66/5.31 | (301) $false
% 20.66/5.31 |
% 20.66/5.31 |-The branch is then unsatisfiable
% 20.66/5.31 |-Branch two:
% 20.66/5.31 | (277) ~ (all_0_42_42 = e2)
% 20.66/5.31 | (740) all_0_43_43 = e2 | all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2
% 20.66/5.31 |
% 20.66/5.31 +-Applying beta-rule and splitting (740), into two cases.
% 20.66/5.31 |-Branch one:
% 20.66/5.31 | (439) all_0_43_43 = e2
% 20.66/5.31 |
% 20.66/5.31 | Combining equations (513,439) yields a new equation:
% 20.66/5.31 | (345) e2 = e0
% 20.66/5.31 |
% 20.66/5.31 | Equations (345) can reduce 133 to:
% 20.66/5.31 | (301) $false
% 20.66/5.31 |
% 20.66/5.31 |-The branch is then unsatisfiable
% 20.66/5.31 |-Branch two:
% 20.66/5.31 | (275) ~ (all_0_43_43 = e2)
% 20.66/5.31 | (746) all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2
% 20.66/5.31 |
% 20.66/5.31 +-Applying beta-rule and splitting (121), into two cases.
% 20.66/5.31 |-Branch one:
% 20.66/5.31 | (747) all_0_44_44 = e2
% 20.66/5.31 |
% 20.66/5.31 | Equations (747) can reduce 84 to:
% 20.66/5.31 | (277) ~ (all_0_42_42 = e2)
% 20.66/5.31 |
% 20.66/5.31 | Equations (747) can reduce 417 to:
% 20.66/5.31 | (284) ~ (e3 = e2)
% 20.66/5.31 |
% 20.66/5.31 | Simplifying 284 yields:
% 20.66/5.31 | (231) ~ (e3 = e2)
% 20.66/5.31 |
% 20.66/5.31 | Equations (747) can reduce 525 to:
% 20.66/5.31 | (133) ~ (e2 = e0)
% 20.66/5.31 |
% 20.66/5.31 | From (747) and (130) follows:
% 20.66/5.31 | (2950) op(e2, e3) = all_0_10_10
% 20.66/5.31 |
% 20.66/5.31 | From (747) and (185) follows:
% 20.66/5.31 | (2951) op(e2, e2) = all_0_11_11
% 20.66/5.31 |
% 20.66/5.31 | From (747) and (165) follows:
% 20.66/5.31 | (2690) op(e3, e2) = e2
% 20.66/5.31 |
% 20.66/5.31 | Instantiating formula (151) with e4, e1, e3, all_0_27_27 and discharging atoms op(e4, e1) = all_0_27_27, op(e4, e1) = e3, yields:
% 20.66/5.31 | (5003) all_0_27_27 = e3
% 20.66/5.31 |
% 20.66/5.31 | Instantiating formula (151) with e3, e4, all_0_3_3, all_0_42_42 and discharging atoms op(e3, e4) = all_0_3_3, op(e3, e4) = all_0_42_42, yields:
% 20.66/5.31 | (5004) all_0_3_3 = all_0_42_42
% 20.66/5.31 |
% 20.66/5.31 | Instantiating formula (151) with e3, e3, all_0_26_26, e0 and discharging atoms op(e3, e3) = all_0_26_26, op(e3, e3) = e0, yields:
% 20.66/5.31 | (3113) all_0_26_26 = e0
% 20.66/5.31 |
% 20.66/5.31 | Instantiating formula (151) with e3, e2, e2, all_0_34_34 and discharging atoms op(e3, e2) = all_0_34_34, op(e3, e2) = e2, yields:
% 20.66/5.31 | (3371) all_0_34_34 = e2
% 20.66/5.31 |
% 20.66/5.31 | Instantiating formula (151) with e3, e1, all_0_4_4, all_0_45_45 and discharging atoms op(e3, e1) = all_0_4_4, op(e3, e1) = all_0_45_45, yields:
% 20.66/5.31 | (5007) all_0_4_4 = all_0_45_45
% 20.66/5.31 |
% 20.66/5.31 | Instantiating formula (151) with e3, e0, all_0_33_33, e3 and discharging atoms op(e3, e0) = all_0_33_33, op(e3, e0) = e3, yields:
% 20.66/5.31 | (4230) all_0_33_33 = e3
% 20.66/5.31 |
% 20.66/5.31 | Instantiating formula (151) with e2, e4, all_0_1_1, e3 and discharging atoms op(e2, e4) = all_0_1_1, op(e2, e4) = e3, yields:
% 20.66/5.31 | (4231) all_0_1_1 = e3
% 20.66/5.31 |
% 20.66/5.31 | Instantiating formula (151) with e2, e3, all_0_2_2, all_0_47_47 and discharging atoms op(e2, e3) = all_0_2_2, op(e2, e3) = all_0_47_47, yields:
% 20.66/5.31 | (5010) all_0_2_2 = all_0_47_47
% 20.66/5.31 |
% 20.66/5.31 | Instantiating formula (151) with e2, e3, all_0_10_10, all_0_2_2 and discharging atoms op(e2, e3) = all_0_2_2, op(e2, e3) = all_0_10_10, yields:
% 20.66/5.31 | (4232) all_0_2_2 = all_0_10_10
% 20.66/5.31 |
% 20.66/5.31 | Instantiating formula (151) with e2, e2, all_0_11_11, e0 and discharging atoms op(e2, e2) = all_0_11_11, op(e2, e2) = e0, yields:
% 20.66/5.31 | (2998) all_0_11_11 = e0
% 20.66/5.31 |
% 20.66/5.31 | Instantiating formula (151) with e2, e1, all_0_36_36, all_0_49_49 and discharging atoms op(e2, e1) = all_0_36_36, op(e2, e1) = all_0_49_49, yields:
% 20.66/5.31 | (5013) all_0_36_36 = all_0_49_49
% 20.66/5.31 |
% 20.66/5.31 | Combining equations (5010,4232) yields a new equation:
% 20.66/5.31 | (2996) all_0_10_10 = all_0_47_47
% 20.66/5.31 |
% 20.66/5.31 | Combining equations (2996,4232) yields a new equation:
% 20.66/5.31 | (5010) all_0_2_2 = all_0_47_47
% 20.66/5.31 |
% 20.66/5.31 | From (5003) and (3353) follows:
% 20.66/5.31 | (774) op(e4, e1) = e3
% 20.66/5.31 |
% 20.66/5.31 | From (5004) and (4227) follows:
% 20.66/5.31 | (45) op(e3, e4) = all_0_42_42
% 20.66/5.31 |
% 20.66/5.31 | From (3371) and (3367) follows:
% 20.66/5.31 | (2690) op(e3, e2) = e2
% 20.66/5.31 |
% 20.66/5.31 | From (4230) and (4141) follows:
% 20.66/5.31 | (4093) op(e3, e0) = e3
% 20.66/5.31 |
% 20.66/5.31 | From (4231) and (4204) follows:
% 20.66/5.31 | (215) op(e2, e4) = e3
% 20.66/5.31 |
% 20.66/5.31 | From (2996) and (2950) follows:
% 20.66/5.32 | (62) op(e2, e3) = all_0_47_47
% 20.66/5.32 |
% 20.66/5.32 | From (5013) and (735) follows:
% 20.66/5.32 | (193) op(e2, e1) = all_0_49_49
% 20.66/5.32 |
% 20.66/5.32 +-Applying beta-rule and splitting (219), into two cases.
% 20.66/5.32 |-Branch one:
% 20.66/5.32 | (764) all_0_49_49 = e2
% 20.66/5.32 |
% 20.66/5.32 | Equations (764) can reduce 264 to:
% 20.66/5.32 | (301) $false
% 20.66/5.32 |
% 20.66/5.32 |-The branch is then unsatisfiable
% 20.66/5.32 |-Branch two:
% 20.66/5.32 | (264) ~ (all_0_49_49 = e2)
% 20.66/5.32 | (767) all_0_49_49 = e4 | all_0_49_49 = e1
% 20.66/5.32 |
% 20.66/5.32 +-Applying beta-rule and splitting (209), into two cases.
% 20.66/5.32 |-Branch one:
% 20.66/5.32 | (483) all_0_47_47 = e1
% 20.66/5.32 |
% 20.66/5.32 | Combining equations (483,5010) yields a new equation:
% 20.66/5.32 | (812) all_0_2_2 = e1
% 20.66/5.32 |
% 20.66/5.32 | Equations (483) can reduce 93 to:
% 20.66/5.32 | (713) ~ (all_0_49_49 = e1)
% 20.66/5.32 |
% 20.66/5.32 | Simplifying 713 yields:
% 20.66/5.32 | (478) ~ (all_0_49_49 = e1)
% 20.66/5.32 |
% 20.66/5.32 | From (483) and (142) follows:
% 20.66/5.32 | (715) op(e1, e3) = all_0_17_17
% 20.66/5.32 |
% 20.66/5.32 +-Applying beta-rule and splitting (767), into two cases.
% 20.66/5.32 |-Branch one:
% 20.66/5.32 | (491) all_0_49_49 = e4
% 20.66/5.32 |
% 20.66/5.32 | Combining equations (491,5013) yields a new equation:
% 20.66/5.32 | (813) all_0_36_36 = e4
% 20.66/5.32 |
% 20.66/5.32 | Equations (491) can reduce 23 to:
% 20.66/5.32 | (489) ~ (all_0_45_45 = e4)
% 20.66/5.32 |
% 20.66/5.32 | Equations (491) can reduce 191 to:
% 20.66/5.32 | (199) ~ (e4 = e3)
% 20.66/5.32 |
% 20.66/5.32 | Equations (491) can reduce 264 to:
% 20.66/5.32 | (42) ~ (e4 = e2)
% 20.66/5.32 |
% 20.66/5.32 | Equations (491) can reduce 478 to:
% 20.66/5.32 | (114) ~ (e4 = e1)
% 20.66/5.32 |
% 20.66/5.32 | From (491) and (162) follows:
% 20.66/5.32 | (778) op(e4, e1) = all_0_20_20
% 20.66/5.32 |
% 20.66/5.32 +-Applying beta-rule and splitting (91), into two cases.
% 20.66/5.32 |-Branch one:
% 20.66/5.32 | (794) all_0_42_42 = e4
% 20.66/5.32 |
% 20.66/5.32 | Equations (794) can reduce 208 to:
% 20.66/5.32 | (2540) ~ (all_0_45_45 = e4)
% 20.66/5.32 |
% 20.66/5.32 | Simplifying 2540 yields:
% 20.66/5.32 | (489) ~ (all_0_45_45 = e4)
% 20.66/5.32 |
% 20.66/5.32 | Equations (794) can reduce 181 to:
% 20.66/5.32 | (2094) ~ (all_0_54_54 = e4)
% 20.66/5.32 |
% 20.66/5.32 | Simplifying 2094 yields:
% 20.66/5.32 | (643) ~ (all_0_54_54 = e4)
% 20.66/5.32 |
% 20.66/5.32 | Equations (794) can reduce 68 to:
% 20.66/5.32 | (199) ~ (e4 = e3)
% 20.66/5.32 |
% 20.66/5.32 | Equations (794) can reduce 277 to:
% 20.66/5.32 | (42) ~ (e4 = e2)
% 20.66/5.32 |
% 20.66/5.32 | Equations (794) can reduce 680 to:
% 20.66/5.32 | (43) ~ (e4 = e0)
% 20.66/5.32 |
% 20.66/5.32 | From (794) and (159) follows:
% 20.66/5.32 | (799) op(e4, e4) = all_0_8_8
% 20.66/5.32 |
% 20.66/5.32 | From (794) and (105) follows:
% 20.66/5.32 | (800) op(e4, e3) = all_0_7_7
% 20.66/5.32 |
% 20.66/5.32 +-Applying beta-rule and splitting (186), into two cases.
% 20.66/5.32 |-Branch one:
% 20.66/5.32 | (979) all_0_42_42 = e1
% 20.66/5.32 |
% 20.66/5.32 | Combining equations (794,979) yields a new equation:
% 20.66/5.32 | (858) e4 = e1
% 20.66/5.32 |
% 20.66/5.32 | Simplifying 858 yields:
% 20.66/5.32 | (484) e4 = e1
% 20.66/5.32 |
% 20.66/5.32 | Equations (484) can reduce 114 to:
% 20.66/5.32 | (301) $false
% 20.66/5.32 |
% 20.66/5.32 |-The branch is then unsatisfiable
% 20.66/5.32 |-Branch two:
% 20.66/5.32 | (785) ~ (all_0_42_42 = e1)
% 20.66/5.32 | (724) all_0_54_54 = e1
% 20.66/5.32 |
% 20.66/5.32 | Equations (724) can reduce 144 to:
% 20.66/5.32 | (2474) ~ (all_0_55_55 = e1)
% 20.66/5.32 |
% 20.66/5.32 | Simplifying 2474 yields:
% 20.66/5.32 | (1696) ~ (all_0_55_55 = e1)
% 20.66/5.32 |
% 20.66/5.32 | Equations (724) can reduce 643 to:
% 20.66/5.32 | (479) ~ (e4 = e1)
% 20.66/5.32 |
% 20.66/5.32 | Simplifying 479 yields:
% 20.66/5.32 | (114) ~ (e4 = e1)
% 20.66/5.32 |
% 20.66/5.32 | Equations (724) can reduce 682 to:
% 20.66/5.32 | (247) ~ (e1 = e0)
% 20.66/5.32 |
% 20.66/5.32 | From (724) and (52) follows:
% 20.66/5.32 | (727) op(e1, e4) = all_0_30_30
% 20.66/5.32 |
% 20.66/5.32 +-Applying beta-rule and splitting (211), into two cases.
% 20.66/5.32 |-Branch one:
% 20.66/5.32 | (784) all_0_45_45 = e1
% 20.66/5.32 |
% 20.66/5.32 | Combining equations (784,5007) yields a new equation:
% 20.66/5.32 | (810) all_0_4_4 = e1
% 20.66/5.32 |
% 20.66/5.32 | Equations (784) can reduce 489 to:
% 20.66/5.32 | (479) ~ (e4 = e1)
% 20.66/5.32 |
% 20.66/5.32 | Simplifying 479 yields:
% 20.66/5.32 | (114) ~ (e4 = e1)
% 20.66/5.32 |
% 20.66/5.32 | Equations (784) can reduce 770 to:
% 20.66/5.32 | (786) ~ (e3 = e1)
% 20.66/5.32 |
% 20.66/5.32 | Simplifying 786 yields:
% 20.66/5.32 | (234) ~ (e3 = e1)
% 20.66/5.32 |
% 20.66/5.32 | Equations (784) can reduce 163 to:
% 20.66/5.32 | (247) ~ (e1 = e0)
% 20.66/5.32 |
% 20.66/5.32 | From (784) and (50) follows:
% 20.66/5.32 | (791) op(e1, e3) = all_0_12_12
% 20.66/5.32 |
% 20.66/5.32 | From (784) and (44) follows:
% 20.66/5.32 | (792) op(e1, e1) = all_0_13_13
% 20.66/5.32 |
% 20.66/5.32 +-Applying beta-rule and splitting (83), into two cases.
% 20.66/5.32 |-Branch one:
% 20.66/5.32 | (428) all_0_39_39 = e4
% 20.66/5.32 |
% 20.66/5.32 | Combining equations (344,428) yields a new equation:
% 20.66/5.32 | (504) e4 = e2
% 20.66/5.32 |
% 20.66/5.32 | Equations (504) can reduce 42 to:
% 20.66/5.32 | (301) $false
% 20.66/5.32 |
% 20.66/5.32 |-The branch is then unsatisfiable
% 20.66/5.32 |-Branch two:
% 20.66/5.32 | (296) ~ (all_0_39_39 = e4)
% 20.66/5.32 | (431) all_0_47_47 = e4 | all_0_52_52 = e4 | all_0_55_55 = e4
% 20.66/5.32 |
% 20.66/5.32 | Equations (344) can reduce 296 to:
% 20.66/5.32 | (271) ~ (e4 = e2)
% 20.66/5.32 |
% 20.66/5.32 | Simplifying 271 yields:
% 20.66/5.32 | (42) ~ (e4 = e2)
% 20.66/5.32 |
% 20.66/5.32 +-Applying beta-rule and splitting (178), into two cases.
% 20.66/5.32 |-Branch one:
% 20.66/5.32 | (450) all_0_55_55 = e2
% 20.66/5.32 |
% 20.66/5.32 | Equations (450) can reduce 1140 to:
% 20.66/5.32 | (301) $false
% 20.66/5.32 |
% 20.66/5.32 |-The branch is then unsatisfiable
% 20.66/5.32 |-Branch two:
% 20.66/5.32 | (1140) ~ (all_0_55_55 = e2)
% 20.66/5.32 | (4354) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0
% 20.66/5.32 |
% 20.66/5.32 +-Applying beta-rule and splitting (106), into two cases.
% 20.66/5.32 |-Branch one:
% 20.66/5.32 | (717) all_0_54_54 = e4
% 20.66/5.32 |
% 20.66/5.32 | Combining equations (724,717) yields a new equation:
% 20.66/5.32 | (484) e4 = e1
% 20.66/5.32 |
% 20.66/5.32 | Equations (484) can reduce 114 to:
% 20.66/5.32 | (301) $false
% 20.66/5.32 |
% 20.66/5.32 |-The branch is then unsatisfiable
% 20.66/5.32 |-Branch two:
% 20.66/5.32 | (643) ~ (all_0_54_54 = e4)
% 20.66/5.32 | (1869) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4
% 20.66/5.32 |
% 20.66/5.32 +-Applying beta-rule and splitting (4354), into two cases.
% 20.66/5.32 |-Branch one:
% 20.66/5.32 | (503) all_0_55_55 = e4
% 20.66/5.32 |
% 20.66/5.32 | Equations (503) can reduce 1140 to:
% 20.66/5.32 | (42) ~ (e4 = e2)
% 20.66/5.32 |
% 20.66/5.32 | Equations (503) can reduce 1696 to:
% 20.66/5.32 | (114) ~ (e4 = e1)
% 20.66/5.32 |
% 20.66/5.32 | Equations (503) can reduce 372 to:
% 20.66/5.32 | (43) ~ (e4 = e0)
% 20.66/5.32 |
% 20.66/5.32 | From (503) and (97) follows:
% 20.66/5.32 | (5090) op(e4, e3) = all_0_32_32
% 20.66/5.32 |
% 20.66/5.32 | Instantiating formula (151) with e4, e4, all_0_8_8, e0 and discharging atoms op(e4, e4) = all_0_8_8, op(e4, e4) = e0, yields:
% 20.66/5.32 | (824) all_0_8_8 = e0
% 20.66/5.32 |
% 20.66/5.32 | Instantiating formula (151) with e4, e3, all_0_7_7, e2 and discharging atoms op(e4, e3) = all_0_7_7, op(e4, e3) = e2, yields:
% 20.66/5.32 | (804) all_0_7_7 = e2
% 20.66/5.32 |
% 20.66/5.32 | Instantiating formula (151) with e4, e3, all_0_32_32, all_0_7_7 and discharging atoms op(e4, e3) = all_0_7_7, op(e4, e3) = all_0_32_32, yields:
% 20.66/5.32 | (5093) all_0_7_7 = all_0_32_32
% 20.66/5.32 |
% 20.66/5.32 | Instantiating formula (151) with e4, e1, all_0_20_20, e3 and discharging atoms op(e4, e1) = all_0_20_20, op(e4, e1) = e3, yields:
% 20.66/5.32 | (808) all_0_20_20 = e3
% 20.66/5.32 |
% 20.66/5.32 | Instantiating formula (151) with e1, e4, all_0_30_30, e2 and discharging atoms op(e1, e4) = all_0_30_30, op(e1, e4) = e2, yields:
% 20.66/5.32 | (816) all_0_30_30 = e2
% 20.66/5.32 |
% 20.66/5.32 | Instantiating formula (151) with e1, e3, all_0_12_12, e3 and discharging atoms op(e1, e3) = all_0_12_12, op(e1, e3) = e3, yields:
% 20.66/5.32 | (2249) all_0_12_12 = e3
% 20.66/5.32 |
% 20.66/5.32 | Instantiating formula (151) with e1, e3, all_0_17_17, all_0_12_12 and discharging atoms op(e1, e3) = all_0_12_12, op(e1, e3) = all_0_17_17, yields:
% 20.66/5.32 | (817) all_0_12_12 = all_0_17_17
% 20.66/5.32 |
% 20.66/5.32 | Instantiating formula (151) with e1, e1, all_0_13_13, e0 and discharging atoms op(e1, e1) = all_0_13_13, op(e1, e1) = e0, yields:
% 20.66/5.32 | (819) all_0_13_13 = e0
% 20.66/5.32 |
% 20.66/5.32 | Combining equations (804,5093) yields a new equation:
% 20.66/5.32 | (5099) all_0_32_32 = e2
% 20.66/5.32 |
% 20.66/5.32 | Combining equations (2249,817) yields a new equation:
% 20.66/5.32 | (2256) all_0_17_17 = e3
% 20.66/5.32 |
% 20.66/5.32 +-Applying beta-rule and splitting (128), into two cases.
% 20.66/5.32 |-Branch one:
% 20.66/5.32 | (837) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)) | (all_0_42_42 = e2 & ~ (all_0_44_44 = e4))
% 20.66/5.32 |
% 20.66/5.32 +-Applying beta-rule and splitting (837), into two cases.
% 20.66/5.32 |-Branch one:
% 20.66/5.32 | (838) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1))
% 20.66/5.33 |
% 20.66/5.33 +-Applying beta-rule and splitting (838), into two cases.
% 20.66/5.33 |-Branch one:
% 20.66/5.33 | (839) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56))
% 20.66/5.33 |
% 20.66/5.33 +-Applying beta-rule and splitting (839), into two cases.
% 20.66/5.33 |-Branch one:
% 20.66/5.33 | (840) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55))
% 20.66/5.33 |
% 20.66/5.33 +-Applying beta-rule and splitting (840), into two cases.
% 20.66/5.33 |-Branch one:
% 20.66/5.33 | (841) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54))
% 20.66/5.33 |
% 20.66/5.33 +-Applying beta-rule and splitting (841), into two cases.
% 20.66/5.33 |-Branch one:
% 20.66/5.33 | (842) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53))
% 20.66/5.33 |
% 20.66/5.33 +-Applying beta-rule and splitting (842), into two cases.
% 20.66/5.33 |-Branch one:
% 20.66/5.33 | (843) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52))
% 20.66/5.33 |
% 20.66/5.33 +-Applying beta-rule and splitting (843), into two cases.
% 20.66/5.33 |-Branch one:
% 20.66/5.33 | (844) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51))
% 20.66/5.33 |
% 20.66/5.33 +-Applying beta-rule and splitting (844), into two cases.
% 20.66/5.33 |-Branch one:
% 20.66/5.33 | (845) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56))
% 20.66/5.33 |
% 20.66/5.33 +-Applying beta-rule and splitting (845), into two cases.
% 20.66/5.33 |-Branch one:
% 20.66/5.33 | (846) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53))
% 20.66/5.33 |
% 20.66/5.33 +-Applying beta-rule and splitting (846), into two cases.
% 20.66/5.33 |-Branch one:
% 20.66/5.33 | (847) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47))
% 20.66/5.33 |
% 20.66/5.33 +-Applying beta-rule and splitting (847), into two cases.
% 20.66/5.33 |-Branch one:
% 20.66/5.33 | (848) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55))
% 20.66/5.33 |
% 20.66/5.33 +-Applying beta-rule and splitting (848), into two cases.
% 20.66/5.33 |-Branch one:
% 20.66/5.33 | (849) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52))
% 20.66/5.33 |
% 20.66/5.33 +-Applying beta-rule and splitting (849), into two cases.
% 20.66/5.33 |-Branch one:
% 20.66/5.33 | (850) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47))
% 20.66/5.33 |
% 20.66/5.33 +-Applying beta-rule and splitting (850), into two cases.
% 20.66/5.33 |-Branch one:
% 20.66/5.33 | (851) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42))
% 20.66/5.33 |
% 20.66/5.33 +-Applying beta-rule and splitting (851), into two cases.
% 20.66/5.33 |-Branch one:
% 20.66/5.33 | (852) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54))
% 20.66/5.33 |
% 20.66/5.33 +-Applying beta-rule and splitting (852), into two cases.
% 20.66/5.33 |-Branch one:
% 20.66/5.33 | (853) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51))
% 20.66/5.33 |
% 20.66/5.33 +-Applying beta-rule and splitting (853), into two cases.
% 20.66/5.33 |-Branch one:
% 20.66/5.33 | (854) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)
% 20.66/5.33 |
% 20.66/5.33 | Applying alpha-rule on (854) yields:
% 20.66/5.33 | (855) all_0_2_2 = e4
% 20.66/5.33 | (856) ~ (all_0_1_1 = e3)
% 20.66/5.33 | (857) ~ (all_0_39_39 = all_0_42_42)
% 20.66/5.33 |
% 20.66/5.33 | Combining equations (855,812) yields a new equation:
% 20.66/5.33 | (858) e4 = e1
% 20.66/5.33 |
% 20.66/5.33 | Simplifying 858 yields:
% 20.66/5.33 | (484) e4 = e1
% 20.66/5.33 |
% 20.66/5.33 | Equations (484) can reduce 114 to:
% 20.66/5.33 | (301) $false
% 20.66/5.33 |
% 20.66/5.33 |-The branch is then unsatisfiable
% 20.66/5.33 |-Branch two:
% 20.66/5.33 | (861) all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)
% 20.66/5.33 |
% 20.66/5.33 | Applying alpha-rule on (861) yields:
% 20.66/5.33 | (862) all_0_4_4 = e4
% 20.66/5.33 | (863) ~ (all_0_3_3 = e1)
% 20.66/5.33 | (864) ~ (all_0_40_40 = all_0_51_51)
% 20.66/5.33 |
% 20.66/5.33 | Combining equations (862,810) yields a new equation:
% 20.66/5.33 | (858) e4 = e1
% 20.66/5.33 |
% 20.66/5.33 | Simplifying 858 yields:
% 20.66/5.33 | (484) e4 = e1
% 20.66/5.33 |
% 20.66/5.33 | Equations (484) can reduce 114 to:
% 20.66/5.33 | (301) $false
% 20.66/5.33 |
% 20.66/5.33 |-The branch is then unsatisfiable
% 20.66/5.33 |-Branch two:
% 20.66/5.33 | (868) all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)
% 20.66/5.33 |
% 20.66/5.33 | Applying alpha-rule on (868) yields:
% 20.66/5.33 | (869) all_0_6_6 = e4
% 20.66/5.33 | (870) ~ (all_0_5_5 = e0)
% 20.66/5.33 | (871) ~ (all_0_41_41 = all_0_54_54)
% 20.66/5.33 |
% 20.66/5.33 | Equations (802) can reduce 870 to:
% 20.66/5.33 | (301) $false
% 20.66/5.33 |
% 20.66/5.33 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (873) all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)
% 20.66/5.34 |
% 20.66/5.34 | Applying alpha-rule on (873) yields:
% 20.66/5.34 | (874) all_0_8_8 = e3
% 20.66/5.34 | (875) ~ (all_0_7_7 = e4)
% 20.66/5.34 | (857) ~ (all_0_39_39 = all_0_42_42)
% 20.66/5.34 |
% 20.66/5.34 | Combining equations (874,824) yields a new equation:
% 20.66/5.34 | (414) e3 = e0
% 20.66/5.34 |
% 20.66/5.34 | Simplifying 414 yields:
% 20.66/5.34 | (415) e3 = e0
% 20.66/5.34 |
% 20.66/5.34 | Equations (415) can reduce 81 to:
% 20.66/5.34 | (301) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (880) all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)
% 20.66/5.34 |
% 20.66/5.34 | Applying alpha-rule on (880) yields:
% 20.66/5.34 | (881) all_0_11_11 = e3
% 20.66/5.34 | (882) ~ (all_0_10_10 = e2)
% 20.66/5.34 | (883) ~ (all_0_44_44 = all_0_47_47)
% 20.66/5.34 |
% 20.66/5.34 | Combining equations (881,2998) yields a new equation:
% 20.66/5.34 | (414) e3 = e0
% 20.66/5.34 |
% 20.66/5.34 | Simplifying 414 yields:
% 20.66/5.34 | (415) e3 = e0
% 20.66/5.34 |
% 20.66/5.34 | Equations (415) can reduce 81 to:
% 20.66/5.34 | (301) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (886) all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)
% 20.66/5.34 |
% 20.66/5.34 | Applying alpha-rule on (886) yields:
% 20.66/5.34 | (887) all_0_13_13 = e3
% 20.66/5.34 | (888) ~ (all_0_12_12 = e1)
% 20.66/5.34 | (889) ~ (all_0_45_45 = all_0_52_52)
% 20.66/5.34 |
% 20.66/5.34 | Combining equations (887,819) yields a new equation:
% 20.66/5.34 | (414) e3 = e0
% 20.66/5.34 |
% 20.66/5.34 | Simplifying 414 yields:
% 20.66/5.34 | (415) e3 = e0
% 20.66/5.34 |
% 20.66/5.34 | Equations (415) can reduce 81 to:
% 20.66/5.34 | (301) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (893) all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)
% 20.66/5.34 |
% 20.66/5.34 | Applying alpha-rule on (893) yields:
% 20.66/5.34 | (894) all_0_15_15 = e3
% 20.66/5.34 | (895) ~ (all_0_14_14 = e0)
% 20.66/5.34 | (896) ~ (all_0_46_46 = all_0_55_55)
% 20.66/5.34 |
% 20.66/5.34 | Equations (2994) can reduce 895 to:
% 20.66/5.34 | (301) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (900) all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)
% 20.66/5.34 |
% 20.66/5.34 | Applying alpha-rule on (900) yields:
% 20.66/5.34 | (901) all_0_17_17 = e2
% 20.66/5.34 | (902) ~ (all_0_16_16 = e3)
% 20.66/5.34 | (883) ~ (all_0_44_44 = all_0_47_47)
% 20.66/5.34 |
% 20.66/5.34 | Combining equations (901,2256) yields a new equation:
% 20.66/5.34 | (573) e3 = e2
% 20.66/5.34 |
% 20.66/5.34 | Equations (573) can reduce 231 to:
% 20.66/5.34 | (301) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (906) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)
% 20.66/5.34 |
% 20.66/5.34 | Applying alpha-rule on (906) yields:
% 20.66/5.34 | (907) all_0_20_20 = e2
% 20.66/5.34 | (908) ~ (all_0_19_19 = e1)
% 20.66/5.34 | (909) ~ (all_0_49_49 = all_0_53_53)
% 20.66/5.34 |
% 20.66/5.34 | Combining equations (907,808) yields a new equation:
% 20.66/5.34 | (573) e3 = e2
% 20.66/5.34 |
% 20.66/5.34 | Equations (573) can reduce 231 to:
% 20.66/5.34 | (301) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (912) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)
% 20.66/5.34 |
% 20.66/5.34 | Applying alpha-rule on (912) yields:
% 20.66/5.34 | (913) all_0_22_22 = e2
% 20.66/5.34 | (914) ~ (all_0_21_21 = e0)
% 20.66/5.34 | (915) ~ (all_0_50_50 = all_0_56_56)
% 20.66/5.34 |
% 20.66/5.34 | Equations (2824) can reduce 914 to:
% 20.66/5.34 | (301) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (918) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)
% 20.66/5.34 |
% 20.66/5.34 | Applying alpha-rule on (918) yields:
% 20.66/5.34 | (919) all_0_24_24 = e1
% 20.66/5.34 | (920) ~ (all_0_23_23 = e4)
% 20.66/5.34 | (864) ~ (all_0_40_40 = all_0_51_51)
% 20.66/5.34 |
% 20.66/5.34 | Combining equations (919,290) yields a new equation:
% 20.66/5.34 | (708) e3 = e1
% 20.66/5.34 |
% 20.66/5.34 | Equations (708) can reduce 234 to:
% 20.66/5.34 | (301) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (924) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)
% 20.66/5.34 |
% 20.66/5.34 | Applying alpha-rule on (924) yields:
% 20.66/5.34 | (925) all_0_26_26 = e1
% 20.66/5.34 | (926) ~ (all_0_25_25 = e3)
% 20.66/5.34 | (889) ~ (all_0_45_45 = all_0_52_52)
% 20.66/5.34 |
% 20.66/5.34 | Combining equations (925,3113) yields a new equation:
% 20.66/5.34 | (934) e1 = e0
% 20.66/5.34 |
% 20.66/5.34 | Simplifying 934 yields:
% 20.66/5.34 | (935) e1 = e0
% 20.66/5.34 |
% 20.66/5.34 | Equations (935) can reduce 247 to:
% 20.66/5.34 | (301) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (930) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)
% 20.66/5.34 |
% 20.66/5.34 | Applying alpha-rule on (930) yields:
% 20.66/5.34 | (931) all_0_28_28 = e1
% 20.66/5.34 | (932) ~ (all_0_27_27 = e2)
% 20.66/5.34 | (909) ~ (all_0_49_49 = all_0_53_53)
% 20.66/5.34 |
% 20.66/5.34 | Equations (491,409) can reduce 909 to:
% 20.66/5.34 | (301) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (937) all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)
% 20.66/5.34 |
% 20.66/5.34 | Applying alpha-rule on (937) yields:
% 20.66/5.34 | (938) all_0_30_30 = e0
% 20.66/5.34 | (939) ~ (all_0_29_29 = e4)
% 20.66/5.34 | (871) ~ (all_0_41_41 = all_0_54_54)
% 20.66/5.34 |
% 20.66/5.34 | Combining equations (816,938) yields a new equation:
% 20.66/5.34 | (352) e2 = e0
% 20.66/5.34 |
% 20.66/5.34 | Simplifying 352 yields:
% 20.66/5.34 | (345) e2 = e0
% 20.66/5.34 |
% 20.66/5.34 | Equations (345) can reduce 133 to:
% 20.66/5.34 | (301) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (944) all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)
% 20.66/5.34 |
% 20.66/5.34 | Applying alpha-rule on (944) yields:
% 20.66/5.34 | (945) all_0_32_32 = e0
% 20.66/5.34 | (946) ~ (all_0_31_31 = e3)
% 20.66/5.34 | (896) ~ (all_0_46_46 = all_0_55_55)
% 20.66/5.34 |
% 20.66/5.34 | Combining equations (5099,945) yields a new equation:
% 20.66/5.34 | (352) e2 = e0
% 20.66/5.34 |
% 20.66/5.34 | Simplifying 352 yields:
% 20.66/5.34 | (345) e2 = e0
% 20.66/5.34 |
% 20.66/5.34 | Equations (345) can reduce 133 to:
% 20.66/5.34 | (301) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (949) all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)
% 20.66/5.34 |
% 20.66/5.34 | Applying alpha-rule on (949) yields:
% 20.66/5.34 | (950) all_0_34_34 = e0
% 20.66/5.34 | (951) ~ (all_0_33_33 = e2)
% 20.66/5.34 | (915) ~ (all_0_50_50 = all_0_56_56)
% 20.66/5.34 |
% 20.66/5.34 | Combining equations (3371,950) yields a new equation:
% 20.66/5.34 | (352) e2 = e0
% 20.66/5.34 |
% 20.66/5.34 | Simplifying 352 yields:
% 20.66/5.34 | (345) e2 = e0
% 20.66/5.34 |
% 20.66/5.34 | Equations (345) can reduce 133 to:
% 20.66/5.34 | (301) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (956) all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)
% 20.66/5.34 |
% 20.66/5.34 | Applying alpha-rule on (956) yields:
% 20.66/5.34 | (957) all_0_36_36 = e0
% 20.66/5.34 | (958) ~ (all_0_35_35 = e1)
% 20.66/5.34 | (726) ~ (all_0_57_57 = e1)
% 20.66/5.34 |
% 20.66/5.34 | Combining equations (813,957) yields a new equation:
% 20.66/5.34 | (316) e4 = e0
% 20.66/5.34 |
% 20.66/5.34 | Simplifying 316 yields:
% 20.66/5.34 | (317) e4 = e0
% 20.66/5.34 |
% 20.66/5.34 | Equations (317) can reduce 43 to:
% 20.66/5.34 | (301) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (963) all_0_42_42 = e2 & ~ (all_0_44_44 = e4)
% 20.66/5.34 |
% 20.66/5.34 | Applying alpha-rule on (963) yields:
% 20.66/5.34 | (737) all_0_42_42 = e2
% 20.66/5.34 | (407) ~ (all_0_44_44 = e4)
% 20.66/5.34 |
% 20.66/5.34 | Combining equations (737,794) yields a new equation:
% 20.66/5.34 | (504) e4 = e2
% 20.66/5.34 |
% 20.66/5.34 | Equations (504) can reduce 42 to:
% 20.66/5.34 | (301) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (969) all_0_53_53 = e4 & ~ (all_0_51_51 = e2)
% 20.66/5.34 |
% 20.66/5.34 | Applying alpha-rule on (969) yields:
% 20.66/5.34 | (409) all_0_53_53 = e4
% 20.66/5.34 | (971) ~ (all_0_51_51 = e2)
% 20.66/5.34 |
% 20.66/5.34 | Equations (276) can reduce 971 to:
% 20.66/5.34 | (301) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (375) ~ (all_0_55_55 = e4)
% 20.66/5.34 | (4389) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (1869), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (503) all_0_55_55 = e4
% 20.66/5.34 |
% 20.66/5.34 | Equations (503) can reduce 375 to:
% 20.66/5.34 | (301) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (375) ~ (all_0_55_55 = e4)
% 20.66/5.34 | (1874) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (1874), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (523) all_0_56_56 = e4
% 20.66/5.34 |
% 20.66/5.34 | Combining equations (423,523) yields a new equation:
% 20.66/5.34 | (420) e4 = e3
% 20.66/5.34 |
% 20.66/5.34 | Equations (420) can reduce 199 to:
% 20.66/5.34 | (301) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (376) ~ (all_0_56_56 = e4)
% 20.66/5.34 | (1880) all_0_57_57 = e4 | all_0_58_58 = e4
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (1880), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (469) all_0_57_57 = e4
% 20.66/5.34 |
% 20.66/5.34 | Combining equations (458,469) yields a new equation:
% 20.66/5.34 | (504) e4 = e2
% 20.66/5.34 |
% 20.66/5.34 | Equations (504) can reduce 42 to:
% 20.66/5.34 | (301) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (377) ~ (all_0_57_57 = e4)
% 20.66/5.34 | (304) all_0_58_58 = e4
% 20.66/5.34 |
% 20.66/5.34 | Combining equations (304,308) yields a new equation:
% 20.66/5.34 | (316) e4 = e0
% 20.66/5.34 |
% 20.66/5.34 | Simplifying 316 yields:
% 20.66/5.34 | (317) e4 = e0
% 20.66/5.34 |
% 20.66/5.34 | Equations (317) can reduce 43 to:
% 20.66/5.34 | (301) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (477) ~ (all_0_45_45 = e1)
% 20.66/5.34 | (982) all_0_49_49 = e1 | all_0_57_57 = e1
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (28), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (979) all_0_42_42 = e1
% 20.66/5.34 |
% 20.66/5.34 | Combining equations (794,979) yields a new equation:
% 20.66/5.34 | (858) e4 = e1
% 20.66/5.34 |
% 20.66/5.34 | Simplifying 858 yields:
% 20.66/5.34 | (484) e4 = e1
% 20.66/5.34 |
% 20.66/5.34 | Equations (484) can reduce 114 to:
% 20.66/5.34 | (301) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (785) ~ (all_0_42_42 = e1)
% 20.66/5.34 | (1997) all_0_43_43 = e1 | all_0_45_45 = e1
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (1997), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (706) all_0_43_43 = e1
% 20.66/5.34 |
% 20.66/5.34 | Combining equations (513,706) yields a new equation:
% 20.66/5.34 | (935) e1 = e0
% 20.66/5.34 |
% 20.66/5.34 | Equations (935) can reduce 247 to:
% 20.66/5.34 | (301) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (710) ~ (all_0_43_43 = e1)
% 20.66/5.34 | (784) all_0_45_45 = e1
% 20.66/5.34 |
% 20.66/5.34 | Equations (784) can reduce 477 to:
% 20.66/5.34 | (301) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (974) ~ (all_0_42_42 = e4)
% 20.66/5.34 | (3996) all_0_44_44 = e4 | all_0_45_45 = e4 | all_0_46_46 = e4
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (3996), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (403) all_0_44_44 = e4
% 20.66/5.34 |
% 20.66/5.34 | Combining equations (747,403) yields a new equation:
% 20.66/5.34 | (504) e4 = e2
% 20.66/5.34 |
% 20.66/5.34 | Equations (504) can reduce 42 to:
% 20.66/5.34 | (301) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (407) ~ (all_0_44_44 = e4)
% 20.66/5.35 | (4006) all_0_45_45 = e4 | all_0_46_46 = e4
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (4006), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (481) all_0_45_45 = e4
% 20.66/5.35 |
% 20.66/5.35 | Equations (481) can reduce 489 to:
% 20.66/5.35 | (301) $false
% 20.66/5.35 |
% 20.66/5.35 |-The branch is then unsatisfiable
% 20.66/5.35 |-Branch two:
% 20.66/5.35 | (489) ~ (all_0_45_45 = e4)
% 20.66/5.35 | (1056) all_0_46_46 = e4
% 20.66/5.35 |
% 20.66/5.35 | Combining equations (570,1056) yields a new equation:
% 20.66/5.35 | (420) e4 = e3
% 20.66/5.35 |
% 20.66/5.35 | Equations (420) can reduce 199 to:
% 20.66/5.35 | (301) $false
% 20.66/5.35 |
% 20.66/5.35 |-The branch is then unsatisfiable
% 20.66/5.35 |-Branch two:
% 20.66/5.35 | (464) ~ (all_0_49_49 = e4)
% 20.66/5.35 | (487) all_0_49_49 = e1
% 20.66/5.35 |
% 20.66/5.35 | Equations (487) can reduce 478 to:
% 20.66/5.35 | (301) $false
% 20.66/5.35 |
% 20.66/5.35 |-The branch is then unsatisfiable
% 20.66/5.35 |-Branch two:
% 20.66/5.35 | (486) ~ (all_0_47_47 = e1)
% 20.66/5.35 | (487) all_0_49_49 = e1
% 20.66/5.35 |
% 20.66/5.35 | Equations (487) can reduce 93 to:
% 20.66/5.35 | (486) ~ (all_0_47_47 = e1)
% 20.66/5.35 |
% 20.66/5.35 | Equations (487) can reduce 241 to:
% 20.66/5.35 | (247) ~ (e1 = e0)
% 20.66/5.35 |
% 20.66/5.35 | From (487) and (127) follows:
% 20.66/5.35 | (4166) op(e1, e2) = all_0_19_19
% 20.66/5.35 |
% 20.66/5.35 | From (487) and (193) follows:
% 20.66/5.35 | (2664) op(e2, e1) = e1
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (220), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (706) all_0_43_43 = e1
% 20.66/5.35 |
% 20.66/5.35 | Combining equations (513,706) yields a new equation:
% 20.66/5.35 | (935) e1 = e0
% 20.66/5.35 |
% 20.66/5.35 | Equations (935) can reduce 247 to:
% 20.66/5.35 | (301) $false
% 20.66/5.35 |
% 20.66/5.35 |-The branch is then unsatisfiable
% 20.66/5.35 |-Branch two:
% 20.66/5.35 | (710) ~ (all_0_43_43 = e1)
% 20.66/5.35 | (711) all_0_47_47 = e1 | all_0_55_55 = e1
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (711), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (483) all_0_47_47 = e1
% 20.66/5.35 |
% 20.66/5.35 | Equations (483) can reduce 486 to:
% 20.66/5.35 | (301) $false
% 20.66/5.35 |
% 20.66/5.35 |-The branch is then unsatisfiable
% 20.66/5.35 |-Branch two:
% 20.66/5.35 | (486) ~ (all_0_47_47 = e1)
% 20.66/5.35 | (1020) all_0_55_55 = e1
% 20.66/5.35 |
% 20.66/5.35 | Equations (1020) can reduce 153 to:
% 20.66/5.35 | (486) ~ (all_0_47_47 = e1)
% 20.66/5.35 |
% 20.66/5.35 | Equations (1020) can reduce 144 to:
% 20.66/5.35 | (1566) ~ (all_0_54_54 = e1)
% 20.66/5.35 |
% 20.66/5.35 | From (1020) and (97) follows:
% 20.66/5.35 | (4196) op(e1, e3) = all_0_32_32
% 20.66/5.35 |
% 20.66/5.35 | From (1020) and (41) follows:
% 20.66/5.35 | (4197) op(e0, e3) = e1
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (186), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (979) all_0_42_42 = e1
% 20.66/5.35 |
% 20.66/5.35 | Equations (979) can reduce 277 to:
% 20.66/5.35 | (788) ~ (e2 = e1)
% 20.66/5.35 |
% 20.66/5.35 | Simplifying 788 yields:
% 20.66/5.35 | (122) ~ (e2 = e1)
% 20.66/5.35 |
% 20.66/5.35 | Equations (979) can reduce 680 to:
% 20.66/5.35 | (247) ~ (e1 = e0)
% 20.66/5.35 |
% 20.66/5.35 | From (979) and (105) follows:
% 20.66/5.35 | (1568) op(e1, e3) = all_0_7_7
% 20.66/5.35 |
% 20.66/5.35 | From (979) and (45) follows:
% 20.66/5.35 | (3839) op(e3, e4) = e1
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (176), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (462) all_0_47_47 = e4
% 20.66/5.35 |
% 20.66/5.35 | From (462) and (62) follows:
% 20.66/5.35 | (4152) op(e2, e3) = e4
% 20.66/5.35 |
% 20.66/5.35 | Instantiating formula (151) with e1, e3, all_0_7_7, e3 and discharging atoms op(e1, e3) = all_0_7_7, op(e1, e3) = e3, yields:
% 20.66/5.35 | (5311) all_0_7_7 = e3
% 20.66/5.35 |
% 20.66/5.35 | Instantiating formula (151) with e1, e3, all_0_32_32, all_0_7_7 and discharging atoms op(e1, e3) = all_0_7_7, op(e1, e3) = all_0_32_32, yields:
% 20.66/5.35 | (5093) all_0_7_7 = all_0_32_32
% 20.66/5.35 |
% 20.66/5.35 | Instantiating formula (151) with e1, e2, all_0_19_19, e4 and discharging atoms op(e1, e2) = all_0_19_19, op(e1, e2) = e4, yields:
% 20.66/5.35 | (4236) all_0_19_19 = e4
% 20.66/5.35 |
% 20.66/5.35 | Combining equations (5311,5093) yields a new equation:
% 20.66/5.35 | (4235) all_0_32_32 = e3
% 20.66/5.35 |
% 20.66/5.35 | From (4235) and (4196) follows:
% 20.66/5.35 | (2084) op(e1, e3) = e3
% 20.66/5.35 |
% 20.66/5.35 | From (4236) and (4166) follows:
% 20.66/5.35 | (4125) op(e1, e2) = e4
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (51), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (2662) unit = e2
% 20.66/5.35 |
% 20.66/5.35 | From (2662) and (237) follows:
% 20.66/5.35 | (4247) op(e2, e3) = e3
% 20.66/5.35 |
% 20.66/5.35 | From (2662) and (135) follows:
% 20.66/5.35 | (4248) op(e3, e2) = e3
% 20.66/5.35 |
% 20.66/5.35 | From (2662) and (229) follows:
% 20.66/5.35 | (4249) op(e1, e2) = e1
% 20.66/5.35 |
% 20.66/5.35 | From (2662) and (125) follows:
% 20.66/5.35 | (4250) op(e0, e2) = e0
% 20.66/5.35 |
% 20.66/5.35 | Instantiating formula (151) with e3, e2, e3, e2 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e2, yields:
% 20.66/5.35 | (573) e3 = e2
% 20.66/5.35 |
% 20.66/5.35 | Instantiating formula (151) with e2, e3, e3, e4 and discharging atoms op(e2, e3) = e4, op(e2, e3) = e3, yields:
% 20.66/5.35 | (420) e4 = e3
% 20.66/5.35 |
% 20.66/5.35 | Instantiating formula (151) with e1, e2, e1, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e1, yields:
% 20.66/5.35 | (484) e4 = e1
% 20.66/5.35 |
% 20.66/5.35 | Instantiating formula (151) with e0, e2, e0, e3 and discharging atoms op(e0, e2) = e3, op(e0, e2) = e0, yields:
% 20.66/5.35 | (415) e3 = e0
% 20.66/5.35 |
% 20.66/5.35 | Combining equations (420,484) yields a new equation:
% 20.66/5.35 | (707) e3 = e1
% 20.66/5.35 |
% 20.66/5.35 | Simplifying 707 yields:
% 20.66/5.35 | (708) e3 = e1
% 20.66/5.35 |
% 20.66/5.35 | Combining equations (708,573) yields a new equation:
% 20.66/5.35 | (928) e2 = e1
% 20.66/5.35 |
% 20.66/5.35 | Combining equations (415,573) yields a new equation:
% 20.66/5.35 | (345) e2 = e0
% 20.66/5.35 |
% 20.66/5.35 | Combining equations (928,345) yields a new equation:
% 20.66/5.35 | (934) e1 = e0
% 20.66/5.35 |
% 20.66/5.35 | Simplifying 934 yields:
% 20.66/5.35 | (935) e1 = e0
% 20.66/5.35 |
% 20.66/5.35 | Equations (935) can reduce 247 to:
% 20.66/5.35 | (301) $false
% 20.66/5.35 |
% 20.66/5.35 |-The branch is then unsatisfiable
% 20.66/5.35 |-Branch two:
% 20.66/5.35 | (2669) ~ (unit = e2)
% 20.66/5.35 | (2670) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (2670), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (2671) unit = e4
% 20.66/5.35 |
% 20.66/5.35 | From (2671) and (135) follows:
% 20.66/5.35 | (4265) op(e3, e4) = e3
% 20.66/5.35 |
% 20.66/5.35 | From (2671) and (87) follows:
% 20.66/5.35 | (4266) op(e2, e4) = e2
% 20.66/5.35 |
% 20.66/5.35 | Instantiating formula (151) with e3, e4, e3, e1 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e1, yields:
% 20.66/5.35 | (708) e3 = e1
% 20.66/5.35 |
% 20.66/5.35 | Instantiating formula (151) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 20.66/5.35 | (573) e3 = e2
% 20.66/5.35 |
% 20.66/5.35 | Combining equations (573,708) yields a new equation:
% 20.66/5.35 | (1250) e2 = e1
% 20.66/5.35 |
% 20.66/5.35 | Simplifying 1250 yields:
% 20.66/5.35 | (928) e2 = e1
% 20.66/5.35 |
% 20.66/5.35 | Equations (928) can reduce 122 to:
% 20.66/5.35 | (301) $false
% 20.66/5.35 |
% 20.66/5.35 |-The branch is then unsatisfiable
% 20.66/5.35 |-Branch two:
% 20.66/5.35 | (2679) ~ (unit = e4)
% 20.66/5.35 | (2680) unit = e3 | unit = e1 | unit = e0
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (2680), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (2681) unit = e0
% 20.66/5.35 |
% 20.66/5.35 | From (2681) and (237) follows:
% 20.66/5.35 | (4275) op(e0, e3) = e3
% 20.66/5.35 |
% 20.66/5.35 | From (2681) and (63) follows:
% 20.66/5.35 | (4276) op(e0, e2) = e2
% 20.66/5.35 |
% 20.66/5.35 | Instantiating formula (151) with e0, e3, e3, e1 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e1, yields:
% 20.66/5.35 | (708) e3 = e1
% 20.66/5.35 |
% 20.66/5.35 | Instantiating formula (151) with e0, e2, e2, e3 and discharging atoms op(e0, e2) = e3, op(e0, e2) = e2, yields:
% 20.66/5.35 | (573) e3 = e2
% 20.66/5.35 |
% 20.66/5.35 | Combining equations (708,573) yields a new equation:
% 20.66/5.35 | (928) e2 = e1
% 20.66/5.35 |
% 20.66/5.35 | Equations (928) can reduce 122 to:
% 20.66/5.35 | (301) $false
% 20.66/5.35 |
% 20.66/5.35 |-The branch is then unsatisfiable
% 20.66/5.35 |-Branch two:
% 20.66/5.35 | (2687) ~ (unit = e0)
% 20.66/5.35 | (2688) unit = e3 | unit = e1
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (2688), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (2689) unit = e3
% 20.66/5.35 |
% 20.66/5.35 | From (2689) and (200) follows:
% 20.66/5.35 | (4285) op(e3, e0) = e0
% 20.66/5.35 |
% 20.66/5.35 | From (2689) and (229) follows:
% 20.66/5.35 | (2691) op(e1, e3) = e1
% 20.66/5.35 |
% 20.66/5.35 | Instantiating formula (151) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields:
% 20.66/5.35 | (415) e3 = e0
% 20.66/5.35 |
% 20.66/5.35 | Instantiating formula (151) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields:
% 20.66/5.36 | (708) e3 = e1
% 20.66/5.36 |
% 20.66/5.36 | Combining equations (415,708) yields a new equation:
% 20.66/5.36 | (935) e1 = e0
% 20.66/5.36 |
% 20.66/5.36 | Equations (935) can reduce 247 to:
% 20.66/5.36 | (301) $false
% 20.66/5.36 |
% 20.66/5.36 |-The branch is then unsatisfiable
% 20.66/5.36 |-Branch two:
% 20.66/5.36 | (2701) ~ (unit = e3)
% 20.66/5.36 | (2702) unit = e1
% 20.66/5.36 |
% 20.66/5.36 | Equations (2702) can reduce 2687 to:
% 20.66/5.36 | (247) ~ (e1 = e0)
% 20.66/5.36 |
% 20.66/5.36 | From (2702) and (87) follows:
% 20.66/5.36 | (4294) op(e2, e1) = e2
% 20.66/5.36 |
% 20.66/5.36 | From (2702) and (125) follows:
% 20.66/5.36 | (2705) op(e0, e1) = e0
% 20.66/5.36 |
% 20.66/5.36 | Instantiating formula (151) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields:
% 20.66/5.36 | (928) e2 = e1
% 20.66/5.36 |
% 20.66/5.36 | Instantiating formula (151) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields:
% 20.66/5.36 | (345) e2 = e0
% 20.66/5.36 |
% 20.66/5.36 | Combining equations (345,928) yields a new equation:
% 20.66/5.36 | (935) e1 = e0
% 20.66/5.36 |
% 20.66/5.36 | Equations (935) can reduce 247 to:
% 20.66/5.36 | (301) $false
% 20.66/5.36 |
% 20.66/5.36 |-The branch is then unsatisfiable
% 20.66/5.36 |-Branch two:
% 20.66/5.36 | (497) ~ (all_0_47_47 = e4)
% 20.66/5.36 | (3048) all_0_49_49 = e4 | all_0_50_50 = e4
% 20.66/5.36 |
% 20.66/5.36 +-Applying beta-rule and splitting (205), into two cases.
% 20.66/5.36 |-Branch one:
% 20.66/5.36 | (443) all_0_47_47 = e2
% 20.66/5.36 |
% 20.66/5.36 | Equations (443) can reduce 262 to:
% 20.66/5.36 | (301) $false
% 20.66/5.36 |
% 20.66/5.36 |-The branch is then unsatisfiable
% 20.66/5.36 |-Branch two:
% 20.66/5.36 | (262) ~ (all_0_47_47 = e2)
% 20.66/5.36 | (3338) all_0_47_47 = e4 | all_0_47_47 = e1 | all_0_47_47 = e0
% 20.66/5.36 |
% 20.66/5.36 +-Applying beta-rule and splitting (3338), into two cases.
% 20.66/5.36 |-Branch one:
% 20.66/5.36 | (462) all_0_47_47 = e4
% 20.66/5.36 |
% 20.66/5.36 | Equations (462) can reduce 497 to:
% 20.66/5.36 | (301) $false
% 20.66/5.36 |
% 20.66/5.36 |-The branch is then unsatisfiable
% 20.66/5.36 |-Branch two:
% 20.66/5.36 | (497) ~ (all_0_47_47 = e4)
% 20.66/5.36 | (3530) all_0_47_47 = e1 | all_0_47_47 = e0
% 20.66/5.36 |
% 20.66/5.36 +-Applying beta-rule and splitting (3530), into two cases.
% 20.66/5.36 |-Branch one:
% 20.66/5.36 | (321) all_0_47_47 = e0
% 20.66/5.36 |
% 20.66/5.36 | Equations (321) can reduce 328 to:
% 20.66/5.36 | (301) $false
% 20.66/5.36 |
% 20.66/5.36 |-The branch is then unsatisfiable
% 20.66/5.36 |-Branch two:
% 20.66/5.36 | (328) ~ (all_0_47_47 = e0)
% 20.66/5.36 | (483) all_0_47_47 = e1
% 20.66/5.36 |
% 20.66/5.36 | Equations (483) can reduce 486 to:
% 20.66/5.36 | (301) $false
% 20.66/5.36 |
% 20.66/5.36 |-The branch is then unsatisfiable
% 20.66/5.36 |-Branch two:
% 20.66/5.36 | (785) ~ (all_0_42_42 = e1)
% 20.66/5.36 | (724) all_0_54_54 = e1
% 20.66/5.36 |
% 20.66/5.36 | Equations (724) can reduce 1566 to:
% 20.66/5.36 | (301) $false
% 20.66/5.36 |
% 20.66/5.36 |-The branch is then unsatisfiable
% 20.66/5.36 |-Branch two:
% 20.66/5.36 | (261) ~ (all_0_44_44 = e2)
% 20.66/5.36 | (3570) all_0_48_48 = e2 | all_0_53_53 = e2 | all_0_56_56 = e2
% 20.66/5.36 |
% 20.66/5.36 +-Applying beta-rule and splitting (746), into two cases.
% 20.66/5.36 |-Branch one:
% 20.66/5.36 | (747) all_0_44_44 = e2
% 20.66/5.36 |
% 20.66/5.36 | Equations (747) can reduce 261 to:
% 20.66/5.36 | (301) $false
% 20.66/5.36 |
% 20.66/5.36 |-The branch is then unsatisfiable
% 20.66/5.36 |-Branch two:
% 20.66/5.36 | (261) ~ (all_0_44_44 = e2)
% 20.66/5.36 | (751) all_0_45_45 = e2 | all_0_46_46 = e2
% 20.66/5.36 |
% 20.66/5.36 +-Applying beta-rule and splitting (751), into two cases.
% 20.66/5.36 |-Branch one:
% 20.66/5.36 | (752) all_0_45_45 = e2
% 20.66/5.36 |
% 20.66/5.36 | Equations (752) can reduce 730 to:
% 20.66/5.36 | (301) $false
% 20.66/5.36 |
% 20.66/5.36 |-The branch is then unsatisfiable
% 20.66/5.36 |-Branch two:
% 20.66/5.36 | (730) ~ (all_0_45_45 = e2)
% 20.66/5.36 | (571) all_0_46_46 = e2
% 20.66/5.36 |
% 20.66/5.36 | Combining equations (570,571) yields a new equation:
% 20.66/5.36 | (572) e3 = e2
% 20.66/5.36 |
% 20.66/5.36 | Simplifying 572 yields:
% 20.66/5.36 | (573) e3 = e2
% 20.66/5.36 |
% 20.66/5.36 | Equations (573) can reduce 231 to:
% 20.66/5.36 | (301) $false
% 20.66/5.36 |
% 20.66/5.36 |-The branch is then unsatisfiable
% 20.66/5.36 |-Branch two:
% 20.66/5.36 | (452) ~ (all_0_57_57 = e2)
% 20.66/5.36 | (300) all_0_58_58 = e2
% 20.66/5.36 |
% 20.66/5.36 | Combining equations (308,300) yields a new equation:
% 20.66/5.36 | (345) e2 = e0
% 20.66/5.36 |
% 20.66/5.36 | Equations (345) can reduce 133 to:
% 20.66/5.36 | (301) $false
% 20.66/5.36 |
% 20.66/5.36 |-The branch is then unsatisfiable
% 20.66/5.36 |-Branch two:
% 20.66/5.36 | (347) ~ (all_0_39_39 = e2)
% 20.66/5.36 | (1218) all_0_39_39 = e4 | all_0_39_39 = e3 | all_0_39_39 = e0
% 20.66/5.36 |
% 20.66/5.36 +-Applying beta-rule and splitting (1218), into two cases.
% 20.66/5.36 |-Branch one:
% 20.66/5.36 | (428) all_0_39_39 = e4
% 20.66/5.36 |
% 20.66/5.36 | Equations (428) can reduce 296 to:
% 20.66/5.36 | (301) $false
% 20.66/5.36 |
% 20.66/5.36 |-The branch is then unsatisfiable
% 20.66/5.36 |-Branch two:
% 20.66/5.36 | (296) ~ (all_0_39_39 = e4)
% 20.66/5.36 | (1222) all_0_39_39 = e3 | all_0_39_39 = e0
% 20.66/5.36 |
% 20.66/5.36 +-Applying beta-rule and splitting (138), into two cases.
% 20.66/5.36 |-Branch one:
% 20.66/5.36 | (694) all_0_39_39 = e3
% 20.66/5.36 |
% 20.66/5.36 | Equations (694) can reduce 698 to:
% 20.66/5.36 | (301) $false
% 20.66/5.36 |
% 20.66/5.36 |-The branch is then unsatisfiable
% 20.66/5.36 |-Branch two:
% 20.66/5.36 | (698) ~ (all_0_39_39 = e3)
% 20.66/5.36 | (1001) all_0_40_40 = e3 | all_0_41_41 = e3
% 20.66/5.36 |
% 20.66/5.36 +-Applying beta-rule and splitting (1222), into two cases.
% 20.66/5.36 |-Branch one:
% 20.66/5.36 | (323) all_0_39_39 = e0
% 20.66/5.36 |
% 20.66/5.36 | Equations (323) can reduce 322 to:
% 20.66/5.36 | (301) $false
% 20.66/5.36 |
% 20.66/5.36 |-The branch is then unsatisfiable
% 20.66/5.36 |-Branch two:
% 20.66/5.36 | (322) ~ (all_0_39_39 = e0)
% 20.66/5.36 | (694) all_0_39_39 = e3
% 20.66/5.36 |
% 20.66/5.36 | Equations (694) can reduce 698 to:
% 20.66/5.36 | (301) $false
% 20.66/5.36 |
% 20.66/5.36 |-The branch is then unsatisfiable
% 20.66/5.36 |-Branch two:
% 20.66/5.36 | (506) ~ (all_0_52_52 = e3)
% 20.66/5.36 | (419) all_0_53_53 = e3
% 20.66/5.36 |
% 20.66/5.36 | Equations (419) can reduce 109 to:
% 20.66/5.36 | (417) ~ (all_0_44_44 = e3)
% 20.66/5.36 |
% 20.66/5.36 | Equations (419) can reduce 60 to:
% 20.66/5.36 | (506) ~ (all_0_52_52 = e3)
% 20.66/5.36 |
% 20.66/5.36 | From (419) and (118) follows:
% 20.66/5.36 | (675) op(e3, e2) = all_0_28_28
% 20.66/5.36 |
% 20.66/5.36 | From (419) and (90) follows:
% 20.66/5.36 | (1672) op(e3, e1) = all_0_27_27
% 20.66/5.36 |
% 20.66/5.36 +-Applying beta-rule and splitting (168), into two cases.
% 20.66/5.36 |-Branch one:
% 20.66/5.36 | (447) all_0_52_52 = e2
% 20.66/5.36 |
% 20.66/5.36 | Equations (447) can reduce 279 to:
% 20.66/5.36 | (301) $false
% 20.66/5.36 |
% 20.66/5.36 |-The branch is then unsatisfiable
% 20.66/5.36 |-Branch two:
% 20.66/5.36 | (279) ~ (all_0_52_52 = e2)
% 20.66/5.36 | (1680) all_0_52_52 = e4 | all_0_52_52 = e3
% 20.66/5.36 |
% 20.66/5.36 +-Applying beta-rule and splitting (1680), into two cases.
% 20.66/5.36 |-Branch one:
% 20.66/5.36 | (499) all_0_52_52 = e4
% 20.66/5.36 |
% 20.66/5.36 | Equations (499) can reduce 129 to:
% 20.66/5.36 | (296) ~ (all_0_39_39 = e4)
% 20.66/5.36 |
% 20.66/5.36 | Equations (499) can reduce 101 to:
% 20.66/5.36 | (497) ~ (all_0_47_47 = e4)
% 20.66/5.36 |
% 20.66/5.36 | Equations (499) can reduce 235 to:
% 20.66/5.36 | (4449) ~ (all_0_55_55 = e4)
% 20.66/5.36 |
% 20.66/5.36 | Simplifying 4449 yields:
% 20.66/5.36 | (375) ~ (all_0_55_55 = e4)
% 20.66/5.36 |
% 20.66/5.36 | Equations (499) can reduce 279 to:
% 20.66/5.36 | (42) ~ (e4 = e2)
% 20.66/5.36 |
% 20.66/5.36 | Equations (499) can reduce 70 to:
% 20.66/5.36 | (114) ~ (e4 = e1)
% 20.66/5.36 |
% 20.66/5.36 | From (499) and (218) follows:
% 20.66/5.36 | (662) op(e4, e3) = all_0_26_26
% 20.66/5.36 |
% 20.66/5.36 | From (499) and (236) follows:
% 20.66/5.36 | (663) op(e4, e1) = all_0_25_25
% 20.66/5.36 |
% 20.66/5.36 | From (499) and (107) follows:
% 20.66/5.36 | (664) op(e1, e3) = e4
% 20.66/5.36 |
% 20.66/5.36 +-Applying beta-rule and splitting (176), into two cases.
% 20.66/5.36 |-Branch one:
% 20.66/5.36 | (462) all_0_47_47 = e4
% 20.66/5.36 |
% 20.66/5.36 | Equations (462) can reduce 497 to:
% 20.66/5.36 | (301) $false
% 20.66/5.36 |
% 20.66/5.36 |-The branch is then unsatisfiable
% 20.66/5.36 |-Branch two:
% 20.66/5.36 | (497) ~ (all_0_47_47 = e4)
% 20.66/5.36 | (3048) all_0_49_49 = e4 | all_0_50_50 = e4
% 20.66/5.36 |
% 20.66/5.36 +-Applying beta-rule and splitting (3048), into two cases.
% 20.66/5.36 |-Branch one:
% 20.66/5.36 | (491) all_0_49_49 = e4
% 20.66/5.36 |
% 20.66/5.36 | Equations (491) can reduce 195 to:
% 20.66/5.36 | (298) ~ (all_0_40_40 = e4)
% 20.66/5.36 |
% 20.66/5.36 | Equations (491) can reduce 23 to:
% 20.66/5.36 | (489) ~ (all_0_45_45 = e4)
% 20.66/5.36 |
% 20.66/5.36 | Equations (491) can reduce 93 to:
% 20.66/5.36 | (497) ~ (all_0_47_47 = e4)
% 20.66/5.36 |
% 20.66/5.36 | Equations (491) can reduce 94 to:
% 20.66/5.36 | (644) ~ (all_0_57_57 = e4)
% 20.66/5.36 |
% 20.66/5.36 | Simplifying 644 yields:
% 20.66/5.36 | (377) ~ (all_0_57_57 = e4)
% 20.66/5.36 |
% 20.66/5.36 | Equations (491) can reduce 264 to:
% 20.66/5.36 | (42) ~ (e4 = e2)
% 20.66/5.36 |
% 20.66/5.36 | Equations (491) can reduce 241 to:
% 20.66/5.36 | (43) ~ (e4 = e0)
% 20.66/5.36 |
% 20.66/5.36 | From (491) and (127) follows:
% 20.66/5.36 | (777) op(e4, e2) = all_0_19_19
% 20.66/5.36 |
% 20.66/5.36 | From (491) and (162) follows:
% 20.66/5.36 | (778) op(e4, e1) = all_0_20_20
% 20.66/5.36 |
% 20.66/5.36 | From (491) and (193) follows:
% 20.66/5.36 | (779) op(e2, e1) = e4
% 20.66/5.36 |
% 20.66/5.36 +-Applying beta-rule and splitting (209), into two cases.
% 20.66/5.36 |-Branch one:
% 20.66/5.36 | (483) all_0_47_47 = e1
% 20.66/5.36 |
% 20.66/5.36 | Equations (483) can reduce 497 to:
% 20.66/5.36 | (479) ~ (e4 = e1)
% 20.66/5.36 |
% 20.66/5.36 | Simplifying 479 yields:
% 20.66/5.36 | (114) ~ (e4 = e1)
% 20.66/5.36 |
% 20.66/5.36 | From (483) and (142) follows:
% 20.66/5.36 | (715) op(e1, e3) = all_0_17_17
% 20.66/5.36 |
% 20.66/5.36 | From (483) and (62) follows:
% 20.66/5.36 | (716) op(e2, e3) = e1
% 20.66/5.36 |
% 20.66/5.36 | Instantiating formula (151) with e4, e3, all_0_26_26, all_0_39_39 and discharging atoms op(e4, e3) = all_0_26_26, op(e4, e3) = all_0_39_39, yields:
% 20.66/5.36 | (5460) all_0_26_26 = all_0_39_39
% 20.66/5.36 |
% 20.66/5.36 | Instantiating formula (151) with e4, e2, all_0_19_19, e1 and discharging atoms op(e4, e2) = all_0_19_19, op(e4, e2) = e1, yields:
% 20.66/5.36 | (805) all_0_19_19 = e1
% 20.66/5.36 |
% 20.66/5.36 | Instantiating formula (151) with e4, e1, all_0_20_20, all_0_40_40 and discharging atoms op(e4, e1) = all_0_20_20, op(e4, e1) = all_0_40_40, yields:
% 20.66/5.36 | (5462) all_0_20_20 = all_0_40_40
% 20.66/5.36 |
% 20.66/5.36 | Instantiating formula (151) with e4, e1, all_0_25_25, all_0_20_20 and discharging atoms op(e4, e1) = all_0_20_20, op(e4, e1) = all_0_25_25, yields:
% 20.66/5.36 | (807) all_0_20_20 = all_0_25_25
% 20.66/5.36 |
% 20.66/5.36 | Instantiating formula (151) with e3, e2, all_0_28_28, all_0_44_44 and discharging atoms op(e3, e2) = all_0_28_28, op(e3, e2) = all_0_44_44, yields:
% 20.66/5.36 | (5464) all_0_28_28 = all_0_44_44
% 20.66/5.36 |
% 20.66/5.36 | Instantiating formula (151) with e3, e1, all_0_27_27, all_0_45_45 and discharging atoms op(e3, e1) = all_0_27_27, op(e3, e1) = all_0_45_45, yields:
% 20.66/5.36 | (5465) all_0_27_27 = all_0_45_45
% 20.66/5.36 |
% 20.66/5.36 | Instantiating formula (151) with e1, e3, e4, all_0_17_17 and discharging atoms op(e1, e3) = all_0_17_17, op(e1, e3) = e4, yields:
% 20.66/5.36 | (827) all_0_17_17 = e4
% 20.66/5.36 |
% 20.66/5.36 | Combining equations (5462,807) yields a new equation:
% 20.66/5.36 | (5467) all_0_25_25 = all_0_40_40
% 20.66/5.36 |
% 20.66/5.36 | Combining equations (5467,807) yields a new equation:
% 20.66/5.36 | (5462) all_0_20_20 = all_0_40_40
% 20.66/5.36 |
% 20.66/5.36 | From (805) and (777) follows:
% 20.66/5.37 | (166) op(e4, e2) = e1
% 20.66/5.37 |
% 20.66/5.37 | From (5465) and (1672) follows:
% 20.66/5.37 | (196) op(e3, e1) = all_0_45_45
% 20.66/5.37 |
% 20.66/5.37 +-Applying beta-rule and splitting (254), into two cases.
% 20.66/5.37 |-Branch one:
% 20.66/5.37 | (1380) all_0_40_40 = e2
% 20.66/5.37 |
% 20.66/5.37 | Equations (1380) can reduce 31 to:
% 20.66/5.37 | (347) ~ (all_0_39_39 = e2)
% 20.66/5.37 |
% 20.66/5.37 | Equations (1380) can reduce 108 to:
% 20.66/5.37 | (2443) ~ (all_0_45_45 = e2)
% 20.66/5.37 |
% 20.66/5.37 | Simplifying 2443 yields:
% 20.66/5.37 | (730) ~ (all_0_45_45 = e2)
% 20.66/5.37 |
% 20.66/5.37 +-Applying beta-rule and splitting (138), into two cases.
% 20.66/5.37 |-Branch one:
% 20.66/5.37 | (694) all_0_39_39 = e3
% 20.66/5.37 |
% 20.66/5.37 | Combining equations (694,5460) yields a new equation:
% 20.66/5.37 | (5476) all_0_26_26 = e3
% 20.66/5.37 |
% 20.66/5.37 | Equations (694) can reduce 347 to:
% 20.66/5.37 | (231) ~ (e3 = e2)
% 20.66/5.37 |
% 20.66/5.37 | From (694) and (112) follows:
% 20.66/5.37 | (5478) op(e3, e3) = all_0_2_2
% 20.66/5.37 |
% 20.66/5.37 +-Applying beta-rule and splitting (140), into two cases.
% 20.66/5.37 |-Branch one:
% 20.66/5.37 | (768) all_0_40_40 = e3
% 20.66/5.37 |
% 20.66/5.37 | Combining equations (1380,768) yields a new equation:
% 20.66/5.37 | (573) e3 = e2
% 20.66/5.37 |
% 20.66/5.37 | Equations (573) can reduce 231 to:
% 20.66/5.37 | (301) $false
% 20.66/5.37 |
% 20.66/5.37 |-The branch is then unsatisfiable
% 20.66/5.37 |-Branch two:
% 20.66/5.37 | (994) ~ (all_0_40_40 = e3)
% 20.66/5.37 | (995) all_0_45_45 = e3 | all_0_57_57 = e3
% 20.66/5.37 |
% 20.66/5.37 +-Applying beta-rule and splitting (995), into two cases.
% 20.66/5.37 |-Branch one:
% 20.66/5.37 | (2016) all_0_45_45 = e3
% 20.66/5.37 |
% 20.66/5.37 | Equations (2016) can reduce 770 to:
% 20.66/5.37 | (301) $false
% 20.66/5.37 |
% 20.66/5.37 |-The branch is then unsatisfiable
% 20.66/5.37 |-Branch two:
% 20.66/5.37 | (770) ~ (all_0_45_45 = e3)
% 20.66/5.37 | (473) all_0_57_57 = e3
% 20.66/5.37 |
% 20.66/5.37 | Equations (473) can reduce 75 to:
% 20.66/5.37 | (770) ~ (all_0_45_45 = e3)
% 20.66/5.37 |
% 20.66/5.37 | Equations (473) can reduce 223 to:
% 20.66/5.37 | (206) ~ (all_0_54_54 = e3)
% 20.66/5.37 |
% 20.66/5.37 | Equations (473) can reduce 20 to:
% 20.66/5.37 | (1935) ~ (all_0_55_55 = e3)
% 20.66/5.37 |
% 20.66/5.37 | Equations (473) can reduce 243 to:
% 20.66/5.37 | (596) ~ (all_0_56_56 = e3)
% 20.66/5.37 |
% 20.66/5.37 | Equations (473) can reduce 189 to:
% 20.66/5.37 | (81) ~ (e3 = e0)
% 20.66/5.37 |
% 20.66/5.37 | From (473) and (73) follows:
% 20.66/5.37 | (2161) op(e3, e1) = all_0_36_36
% 20.66/5.37 |
% 20.66/5.37 +-Applying beta-rule and splitting (160), into two cases.
% 20.66/5.37 |-Branch one:
% 20.66/5.37 | (752) all_0_45_45 = e2
% 20.66/5.37 |
% 20.66/5.37 | Equations (752) can reduce 730 to:
% 20.66/5.37 | (301) $false
% 20.66/5.37 |
% 20.66/5.37 |-The branch is then unsatisfiable
% 20.66/5.37 |-Branch two:
% 20.66/5.37 | (730) ~ (all_0_45_45 = e2)
% 20.66/5.37 | (2552) all_0_45_45 = e4 | all_0_45_45 = e3 | all_0_45_45 = e1
% 20.66/5.37 |
% 20.66/5.37 +-Applying beta-rule and splitting (2552), into two cases.
% 20.66/5.37 |-Branch one:
% 20.66/5.37 | (481) all_0_45_45 = e4
% 20.66/5.37 |
% 20.66/5.37 | Equations (481) can reduce 489 to:
% 20.66/5.37 | (301) $false
% 20.66/5.37 |
% 20.66/5.37 |-The branch is then unsatisfiable
% 20.66/5.37 |-Branch two:
% 20.66/5.37 | (489) ~ (all_0_45_45 = e4)
% 20.66/5.37 | (2556) all_0_45_45 = e3 | all_0_45_45 = e1
% 20.66/5.37 |
% 20.66/5.37 +-Applying beta-rule and splitting (2556), into two cases.
% 20.66/5.37 |-Branch one:
% 20.66/5.37 | (2016) all_0_45_45 = e3
% 20.66/5.37 |
% 20.66/5.37 | Equations (2016) can reduce 770 to:
% 20.66/5.37 | (301) $false
% 20.66/5.37 |
% 20.66/5.37 |-The branch is then unsatisfiable
% 20.66/5.37 |-Branch two:
% 20.66/5.37 | (770) ~ (all_0_45_45 = e3)
% 20.66/5.37 | (784) all_0_45_45 = e1
% 20.66/5.37 |
% 20.66/5.37 | Equations (784) can reduce 208 to:
% 20.66/5.37 | (785) ~ (all_0_42_42 = e1)
% 20.66/5.37 |
% 20.66/5.37 | Equations (784) can reduce 38 to:
% 20.66/5.37 | (55) ~ (all_0_44_44 = e1)
% 20.66/5.37 |
% 20.66/5.37 | From (784) and (44) follows:
% 20.66/5.37 | (792) op(e1, e1) = all_0_13_13
% 20.66/5.37 |
% 20.66/5.37 | From (784) and (196) follows:
% 20.66/5.37 | (793) op(e3, e1) = e1
% 20.66/5.37 |
% 20.66/5.37 +-Applying beta-rule and splitting (186), into two cases.
% 20.66/5.37 |-Branch one:
% 20.66/5.37 | (979) all_0_42_42 = e1
% 20.66/5.37 |
% 20.66/5.37 | Equations (979) can reduce 785 to:
% 20.66/5.37 | (301) $false
% 20.66/5.37 |
% 20.66/5.37 |-The branch is then unsatisfiable
% 20.66/5.37 |-Branch two:
% 20.66/5.37 | (785) ~ (all_0_42_42 = e1)
% 20.66/5.37 | (724) all_0_54_54 = e1
% 20.66/5.37 |
% 20.66/5.37 | Equations (724) can reduce 181 to:
% 20.66/5.37 | (785) ~ (all_0_42_42 = e1)
% 20.66/5.37 |
% 20.66/5.37 | Equations (724) can reduce 144 to:
% 20.66/5.37 | (2474) ~ (all_0_55_55 = e1)
% 20.66/5.37 |
% 20.66/5.37 | Simplifying 2474 yields:
% 20.66/5.37 | (1696) ~ (all_0_55_55 = e1)
% 20.66/5.37 |
% 20.66/5.37 | Equations (724) can reduce 206 to:
% 20.66/5.37 | (786) ~ (e3 = e1)
% 20.66/5.37 |
% 20.66/5.37 | Simplifying 786 yields:
% 20.66/5.37 | (234) ~ (e3 = e1)
% 20.66/5.37 |
% 20.66/5.37 | Equations (724) can reduce 682 to:
% 20.66/5.37 | (247) ~ (e1 = e0)
% 20.66/5.37 |
% 20.66/5.37 | From (724) and (52) follows:
% 20.66/5.37 | (727) op(e1, e4) = all_0_30_30
% 20.66/5.37 |
% 20.66/5.37 +-Applying beta-rule and splitting (178), into two cases.
% 20.66/5.37 |-Branch one:
% 20.66/5.37 | (450) all_0_55_55 = e2
% 20.66/5.37 |
% 20.66/5.37 | Equations (450) can reduce 194 to:
% 20.66/5.37 | (269) ~ (all_0_56_56 = e2)
% 20.66/5.37 |
% 20.66/5.37 | Simplifying 269 yields:
% 20.66/5.37 | (270) ~ (all_0_56_56 = e2)
% 20.66/5.37 |
% 20.66/5.37 | Equations (450) can reduce 1935 to:
% 20.66/5.37 | (284) ~ (e3 = e2)
% 20.66/5.37 |
% 20.66/5.37 | Simplifying 284 yields:
% 20.66/5.37 | (231) ~ (e3 = e2)
% 20.66/5.37 |
% 20.66/5.37 | Equations (450) can reduce 372 to:
% 20.66/5.37 | (133) ~ (e2 = e0)
% 20.66/5.37 |
% 20.66/5.37 | From (450) and (97) follows:
% 20.66/5.37 | (2933) op(e2, e3) = all_0_32_32
% 20.66/5.37 |
% 20.66/5.37 +-Applying beta-rule and splitting (179), into two cases.
% 20.66/5.37 |-Branch one:
% 20.66/5.37 | (637) all_0_56_56 = e2
% 20.66/5.37 |
% 20.66/5.37 | Equations (637) can reduce 270 to:
% 20.66/5.37 | (301) $false
% 20.66/5.37 |
% 20.66/5.37 |-The branch is then unsatisfiable
% 20.66/5.37 |-Branch two:
% 20.66/5.37 | (270) ~ (all_0_56_56 = e2)
% 20.66/5.37 | (640) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0
% 20.66/5.37 |
% 20.66/5.37 +-Applying beta-rule and splitting (227), into two cases.
% 20.66/5.37 |-Branch one:
% 20.66/5.37 | (737) all_0_42_42 = e2
% 20.66/5.37 |
% 20.66/5.37 | Equations (737) can reduce 277 to:
% 20.66/5.37 | (301) $false
% 20.66/5.37 |
% 20.66/5.37 |-The branch is then unsatisfiable
% 20.66/5.37 |-Branch two:
% 20.66/5.37 | (277) ~ (all_0_42_42 = e2)
% 20.66/5.37 | (783) all_0_42_42 = e4 | all_0_42_42 = e1 | all_0_42_42 = e0
% 20.66/5.37 |
% 20.66/5.37 +-Applying beta-rule and splitting (783), into two cases.
% 20.66/5.37 |-Branch one:
% 20.66/5.37 | (794) all_0_42_42 = e4
% 20.66/5.37 |
% 20.66/5.37 | Equations (794) can reduce 84 to:
% 20.66/5.37 | (5537) ~ (all_0_44_44 = e4)
% 20.66/5.37 |
% 20.66/5.37 | Simplifying 5537 yields:
% 20.66/5.37 | (407) ~ (all_0_44_44 = e4)
% 20.66/5.37 |
% 20.66/5.37 | Equations (794) can reduce 68 to:
% 20.66/5.37 | (199) ~ (e4 = e3)
% 20.66/5.37 |
% 20.66/5.37 | From (794) and (159) follows:
% 20.66/5.37 | (799) op(e4, e4) = all_0_8_8
% 20.66/5.37 |
% 20.66/5.37 +-Applying beta-rule and splitting (21), into two cases.
% 20.66/5.37 |-Branch one:
% 20.66/5.37 | (403) all_0_44_44 = e4
% 20.66/5.37 |
% 20.66/5.37 | Equations (403) can reduce 407 to:
% 20.66/5.37 | (301) $false
% 20.66/5.37 |
% 20.66/5.37 |-The branch is then unsatisfiable
% 20.66/5.37 |-Branch two:
% 20.66/5.37 | (407) ~ (all_0_44_44 = e4)
% 20.66/5.37 | (408) all_0_53_53 = e4 | all_0_56_56 = e4
% 20.66/5.37 |
% 20.66/5.37 +-Applying beta-rule and splitting (239), into two cases.
% 20.66/5.37 |-Branch one:
% 20.66/5.37 | (747) all_0_44_44 = e2
% 20.66/5.37 |
% 20.66/5.37 | Combining equations (747,5464) yields a new equation:
% 20.66/5.37 | (3116) all_0_28_28 = e2
% 20.66/5.37 |
% 20.66/5.37 | Equations (747) can reduce 124 to:
% 20.66/5.37 | (269) ~ (all_0_56_56 = e2)
% 20.66/5.37 |
% 20.66/5.37 | Simplifying 269 yields:
% 20.66/5.37 | (270) ~ (all_0_56_56 = e2)
% 20.66/5.37 |
% 20.66/5.37 | Equations (747) can reduce 55 to:
% 20.66/5.37 | (122) ~ (e2 = e1)
% 20.66/5.37 |
% 20.66/5.37 | Equations (747) can reduce 525 to:
% 20.66/5.37 | (133) ~ (e2 = e0)
% 20.66/5.37 |
% 20.66/5.37 | From (747) and (130) follows:
% 20.66/5.37 | (2950) op(e2, e3) = all_0_10_10
% 20.66/5.37 |
% 20.66/5.37 | From (747) and (185) follows:
% 20.66/5.37 | (2951) op(e2, e2) = all_0_11_11
% 20.66/5.37 |
% 20.66/5.37 +-Applying beta-rule and splitting (408), into two cases.
% 20.66/5.37 |-Branch one:
% 20.66/5.37 | (409) all_0_53_53 = e4
% 20.66/5.37 |
% 20.66/5.37 | Combining equations (419,409) yields a new equation:
% 20.66/5.37 | (420) e4 = e3
% 20.66/5.37 |
% 20.66/5.37 | Equations (420) can reduce 199 to:
% 20.66/5.37 | (301) $false
% 20.66/5.37 |
% 20.66/5.37 |-The branch is then unsatisfiable
% 20.66/5.37 |-Branch two:
% 20.66/5.37 | (522) ~ (all_0_53_53 = e4)
% 20.66/5.37 | (523) all_0_56_56 = e4
% 20.66/5.37 |
% 20.66/5.37 | Equations (523) can reduce 596 to:
% 20.66/5.37 | (199) ~ (e4 = e3)
% 20.66/5.37 |
% 20.66/5.37 | Equations (523) can reduce 270 to:
% 20.66/5.37 | (42) ~ (e4 = e2)
% 20.66/5.37 |
% 20.66/5.37 | Equations (523) can reduce 374 to:
% 20.66/5.37 | (43) ~ (e4 = e0)
% 20.66/5.37 |
% 20.66/5.37 | From (523) and (202) follows:
% 20.66/5.37 | (648) op(e4, e2) = all_0_34_34
% 20.66/5.37 |
% 20.66/5.37 | Instantiating formula (151) with e4, e4, all_0_8_8, e0 and discharging atoms op(e4, e4) = all_0_8_8, op(e4, e4) = e0, yields:
% 20.66/5.37 | (824) all_0_8_8 = e0
% 20.66/5.37 |
% 20.66/5.37 | Instantiating formula (151) with e4, e2, all_0_34_34, e1 and discharging atoms op(e4, e2) = all_0_34_34, op(e4, e2) = e1, yields:
% 20.66/5.37 | (829) all_0_34_34 = e1
% 20.66/5.37 |
% 20.66/5.37 | Instantiating formula (151) with e3, e3, all_0_2_2, e0 and discharging atoms op(e3, e3) = all_0_2_2, op(e3, e3) = e0, yields:
% 20.66/5.37 | (5564) all_0_2_2 = e0
% 20.66/5.37 |
% 20.66/5.37 | Instantiating formula (151) with e3, e1, e1, all_0_36_36 and discharging atoms op(e3, e1) = all_0_36_36, op(e3, e1) = e1, yields:
% 20.66/5.37 | (2257) all_0_36_36 = e1
% 20.66/5.37 |
% 20.66/5.37 | Instantiating formula (151) with e2, e3, all_0_10_10, e1 and discharging atoms op(e2, e3) = all_0_10_10, op(e2, e3) = e1, yields:
% 20.66/5.37 | (5566) all_0_10_10 = e1
% 20.66/5.37 |
% 20.66/5.37 | Instantiating formula (151) with e2, e3, all_0_32_32, all_0_10_10 and discharging atoms op(e2, e3) = all_0_10_10, op(e2, e3) = all_0_32_32, yields:
% 20.66/5.37 | (2997) all_0_10_10 = all_0_32_32
% 20.66/5.37 |
% 20.66/5.37 | Instantiating formula (151) with e2, e2, all_0_11_11, e0 and discharging atoms op(e2, e2) = all_0_11_11, op(e2, e2) = e0, yields:
% 20.66/5.37 | (2998) all_0_11_11 = e0
% 20.66/5.37 |
% 20.66/5.37 | Instantiating formula (151) with e1, e4, all_0_30_30, e2 and discharging atoms op(e1, e4) = all_0_30_30, op(e1, e4) = e2, yields:
% 20.66/5.37 | (816) all_0_30_30 = e2
% 20.66/5.37 |
% 20.66/5.37 | Instantiating formula (151) with e1, e1, all_0_13_13, e0 and discharging atoms op(e1, e1) = all_0_13_13, op(e1, e1) = e0, yields:
% 20.66/5.37 | (819) all_0_13_13 = e0
% 20.66/5.37 |
% 20.66/5.37 | Combining equations (2997,5566) yields a new equation:
% 20.66/5.37 | (5571) all_0_32_32 = e1
% 20.66/5.37 |
% 20.66/5.37 | Simplifying 5571 yields:
% 20.66/5.37 | (3015) all_0_32_32 = e1
% 20.66/5.37 |
% 20.66/5.37 +-Applying beta-rule and splitting (128), into two cases.
% 20.66/5.37 |-Branch one:
% 20.66/5.37 | (837) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)) | (all_0_42_42 = e2 & ~ (all_0_44_44 = e4))
% 20.66/5.37 |
% 20.66/5.37 +-Applying beta-rule and splitting (837), into two cases.
% 20.66/5.37 |-Branch one:
% 20.66/5.37 | (838) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1))
% 20.66/5.37 |
% 20.66/5.37 +-Applying beta-rule and splitting (838), into two cases.
% 20.66/5.37 |-Branch one:
% 20.66/5.38 | (839) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56))
% 20.66/5.38 |
% 20.66/5.38 +-Applying beta-rule and splitting (839), into two cases.
% 20.66/5.38 |-Branch one:
% 20.66/5.38 | (840) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55))
% 20.66/5.38 |
% 20.66/5.38 +-Applying beta-rule and splitting (840), into two cases.
% 20.66/5.38 |-Branch one:
% 20.66/5.38 | (841) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54))
% 20.66/5.38 |
% 20.66/5.38 +-Applying beta-rule and splitting (841), into two cases.
% 20.66/5.38 |-Branch one:
% 20.66/5.38 | (842) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53))
% 20.66/5.38 |
% 20.66/5.38 +-Applying beta-rule and splitting (842), into two cases.
% 20.66/5.38 |-Branch one:
% 20.66/5.38 | (843) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52))
% 20.66/5.38 |
% 20.66/5.38 +-Applying beta-rule and splitting (843), into two cases.
% 20.66/5.38 |-Branch one:
% 20.66/5.38 | (844) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51))
% 20.66/5.38 |
% 20.66/5.38 +-Applying beta-rule and splitting (844), into two cases.
% 20.66/5.38 |-Branch one:
% 20.66/5.38 | (845) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56))
% 20.66/5.38 |
% 20.66/5.38 +-Applying beta-rule and splitting (845), into two cases.
% 20.66/5.38 |-Branch one:
% 20.66/5.38 | (846) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53))
% 20.66/5.38 |
% 20.66/5.38 +-Applying beta-rule and splitting (846), into two cases.
% 20.66/5.38 |-Branch one:
% 20.66/5.38 | (847) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47))
% 20.66/5.38 |
% 20.66/5.38 +-Applying beta-rule and splitting (847), into two cases.
% 20.66/5.38 |-Branch one:
% 20.66/5.38 | (848) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55))
% 20.66/5.38 |
% 20.66/5.38 +-Applying beta-rule and splitting (848), into two cases.
% 20.66/5.38 |-Branch one:
% 20.66/5.38 | (849) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52))
% 20.66/5.38 |
% 20.66/5.38 +-Applying beta-rule and splitting (849), into two cases.
% 20.66/5.38 |-Branch one:
% 20.66/5.38 | (850) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47))
% 20.66/5.38 |
% 20.66/5.38 +-Applying beta-rule and splitting (850), into two cases.
% 20.66/5.38 |-Branch one:
% 20.66/5.38 | (851) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42))
% 20.66/5.38 |
% 20.66/5.38 +-Applying beta-rule and splitting (851), into two cases.
% 20.66/5.38 |-Branch one:
% 20.66/5.38 | (852) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54))
% 20.66/5.38 |
% 20.66/5.38 +-Applying beta-rule and splitting (852), into two cases.
% 20.66/5.38 |-Branch one:
% 20.66/5.38 | (853) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51))
% 20.66/5.38 |
% 20.66/5.38 +-Applying beta-rule and splitting (853), into two cases.
% 20.66/5.38 |-Branch one:
% 20.66/5.38 | (854) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)
% 20.66/5.38 |
% 20.66/5.38 | Applying alpha-rule on (854) yields:
% 20.66/5.38 | (855) all_0_2_2 = e4
% 20.66/5.38 | (856) ~ (all_0_1_1 = e3)
% 20.66/5.38 | (857) ~ (all_0_39_39 = all_0_42_42)
% 20.66/5.38 |
% 20.66/5.38 | Combining equations (855,5564) yields a new equation:
% 20.66/5.38 | (316) e4 = e0
% 20.66/5.38 |
% 20.66/5.38 | Simplifying 316 yields:
% 20.66/5.38 | (317) e4 = e0
% 20.66/5.38 |
% 20.66/5.38 | Equations (317) can reduce 43 to:
% 20.66/5.38 | (301) $false
% 20.66/5.38 |
% 20.66/5.38 |-The branch is then unsatisfiable
% 20.66/5.38 |-Branch two:
% 20.66/5.38 | (861) all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)
% 20.66/5.38 |
% 20.66/5.38 | Applying alpha-rule on (861) yields:
% 20.66/5.38 | (862) all_0_4_4 = e4
% 20.66/5.38 | (863) ~ (all_0_3_3 = e1)
% 20.66/5.38 | (864) ~ (all_0_40_40 = all_0_51_51)
% 20.66/5.38 |
% 20.66/5.38 | Equations (1380,276) can reduce 864 to:
% 20.66/5.38 | (301) $false
% 20.66/5.38 |
% 20.66/5.38 |-The branch is then unsatisfiable
% 20.66/5.38 |-Branch two:
% 20.66/5.38 | (868) all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)
% 20.66/5.38 |
% 20.66/5.38 | Applying alpha-rule on (868) yields:
% 20.66/5.38 | (869) all_0_6_6 = e4
% 20.66/5.38 | (870) ~ (all_0_5_5 = e0)
% 20.66/5.38 | (871) ~ (all_0_41_41 = all_0_54_54)
% 20.66/5.38 |
% 20.66/5.38 | Equations (802) can reduce 870 to:
% 20.66/5.38 | (301) $false
% 20.66/5.38 |
% 20.66/5.38 |-The branch is then unsatisfiable
% 20.66/5.38 |-Branch two:
% 20.66/5.38 | (873) all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)
% 20.66/5.38 |
% 20.66/5.38 | Applying alpha-rule on (873) yields:
% 20.66/5.38 | (874) all_0_8_8 = e3
% 20.66/5.38 | (875) ~ (all_0_7_7 = e4)
% 20.66/5.38 | (857) ~ (all_0_39_39 = all_0_42_42)
% 20.66/5.38 |
% 20.66/5.38 | Combining equations (874,824) yields a new equation:
% 20.66/5.38 | (414) e3 = e0
% 20.66/5.38 |
% 20.66/5.38 | Simplifying 414 yields:
% 20.66/5.38 | (415) e3 = e0
% 20.66/5.38 |
% 20.66/5.38 | Equations (415) can reduce 81 to:
% 20.66/5.38 | (301) $false
% 20.66/5.38 |
% 20.66/5.38 |-The branch is then unsatisfiable
% 20.66/5.38 |-Branch two:
% 20.66/5.38 | (880) all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)
% 20.66/5.38 |
% 20.66/5.38 | Applying alpha-rule on (880) yields:
% 20.66/5.38 | (881) all_0_11_11 = e3
% 20.66/5.38 | (882) ~ (all_0_10_10 = e2)
% 20.66/5.38 | (883) ~ (all_0_44_44 = all_0_47_47)
% 20.66/5.38 |
% 20.66/5.38 | Combining equations (881,2998) yields a new equation:
% 20.66/5.38 | (414) e3 = e0
% 20.66/5.38 |
% 20.66/5.38 | Simplifying 414 yields:
% 20.66/5.38 | (415) e3 = e0
% 20.66/5.38 |
% 20.66/5.38 | Equations (415) can reduce 81 to:
% 20.66/5.38 | (301) $false
% 20.66/5.38 |
% 20.66/5.38 |-The branch is then unsatisfiable
% 20.66/5.38 |-Branch two:
% 20.66/5.38 | (886) all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)
% 20.66/5.38 |
% 20.66/5.38 | Applying alpha-rule on (886) yields:
% 20.66/5.38 | (887) all_0_13_13 = e3
% 20.66/5.38 | (888) ~ (all_0_12_12 = e1)
% 20.66/5.38 | (889) ~ (all_0_45_45 = all_0_52_52)
% 20.66/5.38 |
% 20.66/5.38 | Combining equations (887,819) yields a new equation:
% 20.66/5.38 | (414) e3 = e0
% 20.66/5.38 |
% 20.66/5.38 | Simplifying 414 yields:
% 20.66/5.38 | (415) e3 = e0
% 20.66/5.38 |
% 20.66/5.38 | Equations (415) can reduce 81 to:
% 20.66/5.38 | (301) $false
% 20.66/5.38 |
% 20.66/5.38 |-The branch is then unsatisfiable
% 20.66/5.38 |-Branch two:
% 20.66/5.38 | (893) all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)
% 20.66/5.38 |
% 20.66/5.38 | Applying alpha-rule on (893) yields:
% 20.66/5.38 | (894) all_0_15_15 = e3
% 20.66/5.38 | (895) ~ (all_0_14_14 = e0)
% 20.66/5.38 | (896) ~ (all_0_46_46 = all_0_55_55)
% 20.66/5.38 |
% 20.66/5.38 | Equations (2994) can reduce 895 to:
% 20.66/5.38 | (301) $false
% 20.66/5.38 |
% 20.66/5.38 |-The branch is then unsatisfiable
% 20.66/5.38 |-Branch two:
% 20.66/5.38 | (900) all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)
% 20.66/5.38 |
% 20.66/5.38 | Applying alpha-rule on (900) yields:
% 20.66/5.38 | (901) all_0_17_17 = e2
% 20.66/5.38 | (902) ~ (all_0_16_16 = e3)
% 20.66/5.38 | (883) ~ (all_0_44_44 = all_0_47_47)
% 20.66/5.38 |
% 20.66/5.38 | Combining equations (901,827) yields a new equation:
% 20.66/5.38 | (504) e4 = e2
% 20.66/5.38 |
% 20.66/5.38 | Equations (504) can reduce 42 to:
% 20.66/5.38 | (301) $false
% 20.66/5.38 |
% 20.66/5.38 |-The branch is then unsatisfiable
% 20.66/5.38 |-Branch two:
% 20.66/5.38 | (906) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)
% 20.66/5.38 |
% 20.66/5.38 | Applying alpha-rule on (906) yields:
% 20.66/5.38 | (907) all_0_20_20 = e2
% 20.66/5.38 | (908) ~ (all_0_19_19 = e1)
% 20.66/5.38 | (909) ~ (all_0_49_49 = all_0_53_53)
% 20.66/5.38 |
% 20.66/5.38 | Equations (805) can reduce 908 to:
% 20.66/5.38 | (301) $false
% 20.66/5.38 |
% 20.66/5.38 |-The branch is then unsatisfiable
% 20.66/5.38 |-Branch two:
% 20.66/5.38 | (912) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)
% 20.66/5.38 |
% 20.66/5.38 | Applying alpha-rule on (912) yields:
% 20.66/5.38 | (913) all_0_22_22 = e2
% 20.66/5.38 | (914) ~ (all_0_21_21 = e0)
% 20.66/5.38 | (915) ~ (all_0_50_50 = all_0_56_56)
% 20.66/5.38 |
% 20.66/5.38 | Equations (2824) can reduce 914 to:
% 20.66/5.38 | (301) $false
% 20.66/5.38 |
% 20.66/5.38 |-The branch is then unsatisfiable
% 20.66/5.38 |-Branch two:
% 20.66/5.38 | (918) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)
% 20.66/5.38 |
% 20.66/5.38 | Applying alpha-rule on (918) yields:
% 20.66/5.38 | (919) all_0_24_24 = e1
% 20.66/5.38 | (920) ~ (all_0_23_23 = e4)
% 20.66/5.38 | (864) ~ (all_0_40_40 = all_0_51_51)
% 20.66/5.38 |
% 20.66/5.38 | Combining equations (919,290) yields a new equation:
% 20.66/5.38 | (708) e3 = e1
% 20.66/5.38 |
% 20.66/5.38 | Equations (708) can reduce 234 to:
% 20.66/5.38 | (301) $false
% 20.66/5.38 |
% 20.66/5.38 |-The branch is then unsatisfiable
% 20.66/5.38 |-Branch two:
% 20.66/5.38 | (924) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)
% 20.66/5.38 |
% 20.66/5.38 | Applying alpha-rule on (924) yields:
% 20.66/5.38 | (925) all_0_26_26 = e1
% 20.66/5.38 | (926) ~ (all_0_25_25 = e3)
% 20.66/5.38 | (889) ~ (all_0_45_45 = all_0_52_52)
% 20.66/5.38 |
% 20.66/5.38 | Combining equations (925,5476) yields a new equation:
% 20.66/5.38 | (708) e3 = e1
% 20.66/5.38 |
% 20.66/5.38 | Equations (708) can reduce 234 to:
% 20.66/5.38 | (301) $false
% 20.66/5.38 |
% 20.66/5.38 |-The branch is then unsatisfiable
% 20.66/5.38 |-Branch two:
% 20.66/5.38 | (930) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)
% 20.66/5.38 |
% 20.66/5.38 | Applying alpha-rule on (930) yields:
% 20.66/5.38 | (931) all_0_28_28 = e1
% 20.66/5.38 | (932) ~ (all_0_27_27 = e2)
% 20.66/5.38 | (909) ~ (all_0_49_49 = all_0_53_53)
% 20.66/5.38 |
% 20.66/5.38 | Combining equations (931,3116) yields a new equation:
% 20.66/5.38 | (928) e2 = e1
% 20.66/5.38 |
% 20.66/5.38 | Equations (928) can reduce 122 to:
% 20.66/5.38 | (301) $false
% 20.66/5.38 |
% 20.66/5.38 |-The branch is then unsatisfiable
% 20.66/5.38 |-Branch two:
% 20.66/5.38 | (937) all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)
% 20.66/5.38 |
% 20.66/5.38 | Applying alpha-rule on (937) yields:
% 20.66/5.38 | (938) all_0_30_30 = e0
% 20.66/5.38 | (939) ~ (all_0_29_29 = e4)
% 20.66/5.38 | (871) ~ (all_0_41_41 = all_0_54_54)
% 20.66/5.38 |
% 20.66/5.38 | Combining equations (816,938) yields a new equation:
% 20.66/5.38 | (352) e2 = e0
% 20.66/5.38 |
% 20.66/5.38 | Simplifying 352 yields:
% 20.66/5.38 | (345) e2 = e0
% 20.66/5.38 |
% 20.66/5.38 | Equations (345) can reduce 133 to:
% 20.66/5.38 | (301) $false
% 20.66/5.38 |
% 20.66/5.38 |-The branch is then unsatisfiable
% 20.66/5.38 |-Branch two:
% 20.66/5.38 | (944) all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)
% 20.66/5.38 |
% 20.66/5.38 | Applying alpha-rule on (944) yields:
% 20.66/5.38 | (945) all_0_32_32 = e0
% 20.66/5.38 | (946) ~ (all_0_31_31 = e3)
% 20.66/5.38 | (896) ~ (all_0_46_46 = all_0_55_55)
% 20.66/5.38 |
% 20.66/5.38 | Combining equations (3015,945) yields a new equation:
% 20.66/5.38 | (934) e1 = e0
% 20.66/5.38 |
% 20.66/5.38 | Simplifying 934 yields:
% 20.66/5.38 | (935) e1 = e0
% 20.66/5.38 |
% 20.66/5.38 | Equations (935) can reduce 247 to:
% 20.66/5.38 | (301) $false
% 20.66/5.38 |
% 20.66/5.38 |-The branch is then unsatisfiable
% 20.66/5.38 |-Branch two:
% 20.66/5.38 | (949) all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)
% 20.66/5.38 |
% 20.66/5.38 | Applying alpha-rule on (949) yields:
% 20.66/5.38 | (950) all_0_34_34 = e0
% 20.66/5.38 | (951) ~ (all_0_33_33 = e2)
% 20.66/5.38 | (915) ~ (all_0_50_50 = all_0_56_56)
% 20.66/5.38 |
% 20.66/5.38 | Combining equations (829,950) yields a new equation:
% 20.66/5.38 | (934) e1 = e0
% 20.66/5.38 |
% 20.66/5.38 | Simplifying 934 yields:
% 20.66/5.38 | (935) e1 = e0
% 20.66/5.38 |
% 20.66/5.38 | Equations (935) can reduce 247 to:
% 20.66/5.38 | (301) $false
% 20.66/5.38 |
% 20.66/5.38 |-The branch is then unsatisfiable
% 20.66/5.38 |-Branch two:
% 20.66/5.38 | (956) all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)
% 20.66/5.38 |
% 20.66/5.38 | Applying alpha-rule on (956) yields:
% 20.66/5.39 | (957) all_0_36_36 = e0
% 20.66/5.39 | (958) ~ (all_0_35_35 = e1)
% 20.66/5.39 | (726) ~ (all_0_57_57 = e1)
% 20.66/5.39 |
% 20.66/5.39 | Combining equations (2257,957) yields a new equation:
% 20.66/5.39 | (934) e1 = e0
% 20.66/5.39 |
% 20.66/5.39 | Simplifying 934 yields:
% 20.66/5.39 | (935) e1 = e0
% 20.66/5.39 |
% 20.66/5.39 | Equations (935) can reduce 247 to:
% 20.66/5.39 | (301) $false
% 20.66/5.39 |
% 20.66/5.39 |-The branch is then unsatisfiable
% 20.66/5.39 |-Branch two:
% 20.66/5.39 | (963) all_0_42_42 = e2 & ~ (all_0_44_44 = e4)
% 20.66/5.39 |
% 20.66/5.39 | Applying alpha-rule on (963) yields:
% 20.66/5.39 | (737) all_0_42_42 = e2
% 20.66/5.39 | (407) ~ (all_0_44_44 = e4)
% 20.66/5.39 |
% 20.66/5.39 | Combining equations (794,737) yields a new equation:
% 20.66/5.39 | (553) e4 = e2
% 20.66/5.39 |
% 20.66/5.39 | Simplifying 553 yields:
% 20.66/5.39 | (504) e4 = e2
% 20.66/5.39 |
% 20.66/5.39 | Equations (504) can reduce 42 to:
% 20.66/5.39 | (301) $false
% 20.66/5.39 |
% 20.66/5.39 |-The branch is then unsatisfiable
% 20.66/5.39 |-Branch two:
% 20.66/5.39 | (969) all_0_53_53 = e4 & ~ (all_0_51_51 = e2)
% 20.66/5.39 |
% 20.66/5.39 | Applying alpha-rule on (969) yields:
% 20.66/5.39 | (409) all_0_53_53 = e4
% 20.66/5.39 | (971) ~ (all_0_51_51 = e2)
% 20.66/5.39 |
% 20.66/5.39 | Combining equations (419,409) yields a new equation:
% 20.66/5.39 | (420) e4 = e3
% 20.66/5.39 |
% 20.66/5.39 | Equations (420) can reduce 199 to:
% 20.66/5.39 | (301) $false
% 20.66/5.39 |
% 20.66/5.39 |-The branch is then unsatisfiable
% 20.66/5.39 |-Branch two:
% 20.66/5.39 | (261) ~ (all_0_44_44 = e2)
% 20.66/5.39 | (1634) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e0
% 20.66/5.39 |
% 20.66/5.39 +-Applying beta-rule and splitting (121), into two cases.
% 20.66/5.39 |-Branch one:
% 20.66/5.39 | (747) all_0_44_44 = e2
% 20.66/5.39 |
% 20.66/5.39 | Equations (747) can reduce 261 to:
% 20.66/5.39 | (301) $false
% 20.66/5.39 |
% 20.66/5.39 |-The branch is then unsatisfiable
% 20.66/5.39 |-Branch two:
% 20.66/5.39 | (261) ~ (all_0_44_44 = e2)
% 20.66/5.39 | (3570) all_0_48_48 = e2 | all_0_53_53 = e2 | all_0_56_56 = e2
% 20.66/5.39 |
% 20.66/5.39 +-Applying beta-rule and splitting (3570), into two cases.
% 20.66/5.39 |-Branch one:
% 20.66/5.39 | (260) all_0_48_48 = e2
% 20.66/5.39 |
% 20.66/5.39 | Combining equations (351,260) yields a new equation:
% 20.66/5.39 | (345) e2 = e0
% 20.66/5.39 |
% 20.66/5.39 | Equations (345) can reduce 133 to:
% 20.66/5.39 | (301) $false
% 20.66/5.39 |
% 20.66/5.39 |-The branch is then unsatisfiable
% 20.66/5.39 |-Branch two:
% 20.66/5.39 | (2801) ~ (all_0_48_48 = e2)
% 20.66/5.39 | (3648) all_0_53_53 = e2 | all_0_56_56 = e2
% 20.66/5.39 |
% 20.66/5.39 +-Applying beta-rule and splitting (408), into two cases.
% 20.66/5.39 |-Branch one:
% 20.66/5.39 | (409) all_0_53_53 = e4
% 20.66/5.39 |
% 20.66/5.39 | Combining equations (419,409) yields a new equation:
% 20.66/5.39 | (420) e4 = e3
% 20.66/5.39 |
% 20.66/5.39 | Equations (420) can reduce 199 to:
% 20.66/5.39 | (301) $false
% 20.66/5.39 |
% 20.66/5.39 |-The branch is then unsatisfiable
% 20.66/5.39 |-Branch two:
% 20.66/5.39 | (522) ~ (all_0_53_53 = e4)
% 20.66/5.39 | (523) all_0_56_56 = e4
% 20.66/5.39 |
% 20.66/5.39 | Equations (523) can reduce 270 to:
% 20.66/5.39 | (42) ~ (e4 = e2)
% 20.66/5.39 |
% 20.66/5.39 +-Applying beta-rule and splitting (3648), into two cases.
% 20.66/5.39 |-Branch one:
% 20.66/5.39 | (1254) all_0_53_53 = e2
% 20.66/5.39 |
% 20.66/5.39 | Combining equations (1254,419) yields a new equation:
% 20.66/5.39 | (573) e3 = e2
% 20.66/5.39 |
% 20.66/5.39 | Equations (573) can reduce 231 to:
% 20.66/5.39 | (301) $false
% 20.66/5.39 |
% 20.66/5.39 |-The branch is then unsatisfiable
% 20.66/5.39 |-Branch two:
% 20.66/5.39 | (268) ~ (all_0_53_53 = e2)
% 20.66/5.39 | (637) all_0_56_56 = e2
% 20.66/5.39 |
% 20.66/5.39 | Combining equations (523,637) yields a new equation:
% 20.66/5.39 | (553) e4 = e2
% 20.66/5.39 |
% 20.66/5.39 | Simplifying 553 yields:
% 20.66/5.39 | (504) e4 = e2
% 20.66/5.39 |
% 20.66/5.39 | Equations (504) can reduce 42 to:
% 20.66/5.39 | (301) $false
% 20.66/5.39 |
% 20.66/5.39 |-The branch is then unsatisfiable
% 20.66/5.39 |-Branch two:
% 20.66/5.39 | (974) ~ (all_0_42_42 = e4)
% 20.66/5.39 | (975) all_0_42_42 = e1 | all_0_42_42 = e0
% 20.66/5.39 |
% 20.66/5.39 +-Applying beta-rule and splitting (975), into two cases.
% 20.66/5.39 |-Branch one:
% 20.66/5.39 | (976) all_0_42_42 = e0
% 20.66/5.39 |
% 20.66/5.39 | Equations (976) can reduce 680 to:
% 20.66/5.39 | (301) $false
% 20.66/5.39 |
% 20.66/5.39 |-The branch is then unsatisfiable
% 20.66/5.39 |-Branch two:
% 20.66/5.39 | (680) ~ (all_0_42_42 = e0)
% 20.66/5.39 | (979) all_0_42_42 = e1
% 20.66/5.39 |
% 20.66/5.39 | Equations (979) can reduce 785 to:
% 20.66/5.39 | (301) $false
% 20.66/5.39 |
% 20.66/5.39 |-The branch is then unsatisfiable
% 20.66/5.39 |-Branch two:
% 20.66/5.39 | (1140) ~ (all_0_55_55 = e2)
% 20.66/5.39 | (4354) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0
% 20.66/5.39 |
% 20.66/5.39 +-Applying beta-rule and splitting (4354), into two cases.
% 20.66/5.39 |-Branch one:
% 20.66/5.39 | (503) all_0_55_55 = e4
% 20.66/5.39 |
% 20.66/5.39 | Equations (503) can reduce 375 to:
% 20.66/5.39 | (301) $false
% 20.66/5.39 |
% 20.66/5.39 |-The branch is then unsatisfiable
% 20.66/5.39 |-Branch two:
% 20.66/5.39 | (375) ~ (all_0_55_55 = e4)
% 20.66/5.39 | (4389) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0
% 20.66/5.39 |
% 20.66/5.39 +-Applying beta-rule and splitting (4389), into two cases.
% 20.66/5.39 |-Branch one:
% 20.66/5.39 | (520) all_0_55_55 = e0
% 20.66/5.39 |
% 20.66/5.39 | Equations (520) can reduce 372 to:
% 20.66/5.39 | (301) $false
% 20.66/5.39 |
% 20.66/5.39 |-The branch is then unsatisfiable
% 20.66/5.39 |-Branch two:
% 20.66/5.39 | (372) ~ (all_0_55_55 = e0)
% 20.66/5.39 | (5747) all_0_55_55 = e3 | all_0_55_55 = e1
% 20.66/5.39 |
% 20.66/5.39 +-Applying beta-rule and splitting (5747), into two cases.
% 20.66/5.39 |-Branch one:
% 20.66/5.39 | (1031) all_0_55_55 = e3
% 20.66/5.39 |
% 20.66/5.39 | Equations (1031) can reduce 1935 to:
% 20.66/5.39 | (301) $false
% 20.66/5.39 |
% 20.66/5.39 |-The branch is then unsatisfiable
% 20.66/5.39 |-Branch two:
% 20.66/5.39 | (1935) ~ (all_0_55_55 = e3)
% 20.66/5.39 | (1020) all_0_55_55 = e1
% 20.66/5.39 |
% 20.66/5.39 | Equations (1020) can reduce 1696 to:
% 20.66/5.39 | (301) $false
% 20.66/5.39 |
% 20.66/5.39 |-The branch is then unsatisfiable
% 20.99/5.39 |-Branch two:
% 20.99/5.39 | (698) ~ (all_0_39_39 = e3)
% 20.99/5.39 | (1001) all_0_40_40 = e3 | all_0_41_41 = e3
% 20.99/5.39 |
% 20.99/5.39 +-Applying beta-rule and splitting (244), into two cases.
% 20.99/5.39 |-Branch one:
% 20.99/5.39 | (344) all_0_39_39 = e2
% 20.99/5.39 |
% 20.99/5.39 | Equations (344) can reduce 347 to:
% 20.99/5.39 | (301) $false
% 20.99/5.39 |
% 20.99/5.39 |-The branch is then unsatisfiable
% 20.99/5.39 |-Branch two:
% 20.99/5.39 | (347) ~ (all_0_39_39 = e2)
% 20.99/5.39 | (1218) all_0_39_39 = e4 | all_0_39_39 = e3 | all_0_39_39 = e0
% 20.99/5.39 |
% 20.99/5.39 +-Applying beta-rule and splitting (123), into two cases.
% 20.99/5.39 |-Branch one:
% 20.99/5.39 | (694) all_0_39_39 = e3
% 20.99/5.39 |
% 20.99/5.39 | Equations (694) can reduce 698 to:
% 20.99/5.39 | (301) $false
% 20.99/5.39 |
% 20.99/5.39 |-The branch is then unsatisfiable
% 20.99/5.39 |-Branch two:
% 20.99/5.39 | (698) ~ (all_0_39_39 = e3)
% 20.99/5.39 | (699) all_0_43_43 = e3 | all_0_52_52 = e3 | all_0_55_55 = e3
% 20.99/5.39 |
% 20.99/5.39 +-Applying beta-rule and splitting (1218), into two cases.
% 20.99/5.39 |-Branch one:
% 20.99/5.39 | (428) all_0_39_39 = e4
% 20.99/5.39 |
% 20.99/5.39 | Equations (428) can reduce 296 to:
% 20.99/5.39 | (301) $false
% 20.99/5.39 |
% 20.99/5.39 |-The branch is then unsatisfiable
% 20.99/5.39 |-Branch two:
% 20.99/5.39 | (296) ~ (all_0_39_39 = e4)
% 20.99/5.39 | (1222) all_0_39_39 = e3 | all_0_39_39 = e0
% 20.99/5.39 |
% 20.99/5.39 +-Applying beta-rule and splitting (1222), into two cases.
% 20.99/5.39 |-Branch one:
% 20.99/5.39 | (323) all_0_39_39 = e0
% 20.99/5.39 |
% 20.99/5.39 | Equations (323) can reduce 322 to:
% 20.99/5.39 | (301) $false
% 20.99/5.39 |
% 20.99/5.39 |-The branch is then unsatisfiable
% 20.99/5.39 |-Branch two:
% 20.99/5.39 | (322) ~ (all_0_39_39 = e0)
% 20.99/5.39 | (694) all_0_39_39 = e3
% 20.99/5.39 |
% 20.99/5.39 | Equations (694) can reduce 698 to:
% 20.99/5.39 | (301) $false
% 20.99/5.39 |
% 20.99/5.39 |-The branch is then unsatisfiable
% 20.99/5.39 |-Branch two:
% 20.99/5.39 | (729) ~ (all_0_40_40 = e2)
% 20.99/5.39 | (3733) all_0_40_40 = e4 | all_0_40_40 = e3
% 20.99/5.39 |
% 20.99/5.39 +-Applying beta-rule and splitting (53), into two cases.
% 20.99/5.39 |-Branch one:
% 20.99/5.39 | (344) all_0_39_39 = e2
% 20.99/5.39 |
% 20.99/5.39 | Combining equations (344,5460) yields a new equation:
% 20.99/5.39 | (826) all_0_26_26 = e2
% 20.99/5.39 |
% 20.99/5.39 | Equations (344) can reduce 31 to:
% 20.99/5.39 | (4199) ~ (all_0_40_40 = e2)
% 20.99/5.39 |
% 20.99/5.39 | Simplifying 4199 yields:
% 20.99/5.39 | (729) ~ (all_0_40_40 = e2)
% 20.99/5.39 |
% 20.99/5.39 | From (344) and (112) follows:
% 20.99/5.39 | (670) op(e2, e3) = all_0_2_2
% 20.99/5.39 |
% 20.99/5.39 +-Applying beta-rule and splitting (3733), into two cases.
% 20.99/5.39 |-Branch one:
% 20.99/5.39 | (465) all_0_40_40 = e4
% 20.99/5.39 |
% 20.99/5.39 | Equations (465) can reduce 298 to:
% 20.99/5.39 | (301) $false
% 20.99/5.39 |
% 20.99/5.39 |-The branch is then unsatisfiable
% 20.99/5.39 |-Branch two:
% 20.99/5.39 | (298) ~ (all_0_40_40 = e4)
% 20.99/5.39 | (768) all_0_40_40 = e3
% 20.99/5.39 |
% 20.99/5.39 | Combining equations (768,5462) yields a new equation:
% 20.99/5.39 | (808) all_0_20_20 = e3
% 20.99/5.39 |
% 20.99/5.39 | Equations (768) can reduce 108 to:
% 20.99/5.39 | (769) ~ (all_0_45_45 = e3)
% 20.99/5.39 |
% 20.99/5.39 | Simplifying 769 yields:
% 20.99/5.39 | (770) ~ (all_0_45_45 = e3)
% 20.99/5.39 |
% 20.99/5.39 | Equations (768) can reduce 298 to:
% 20.99/5.39 | (426) ~ (e4 = e3)
% 20.99/5.39 |
% 20.99/5.39 | Simplifying 426 yields:
% 20.99/5.39 | (199) ~ (e4 = e3)
% 20.99/5.39 |
% 20.99/5.39 | Equations (768) can reduce 729 to:
% 20.99/5.39 | (231) ~ (e3 = e2)
% 20.99/5.39 |
% 20.99/5.39 | Equations (768) can reduce 171 to:
% 20.99/5.39 | (81) ~ (e3 = e0)
% 20.99/5.39 |
% 20.99/5.39 | From (768) and (252) follows:
% 20.99/5.39 | (773) op(e3, e1) = all_0_4_4
% 20.99/5.39 |
% 20.99/5.39 +-Applying beta-rule and splitting (132), into two cases.
% 20.99/5.39 |-Branch one:
% 20.99/5.39 | (1031) all_0_55_55 = e3
% 20.99/5.39 |
% 20.99/5.39 | Equations (1031) can reduce 144 to:
% 20.99/5.39 | (206) ~ (all_0_54_54 = e3)
% 20.99/5.39 |
% 20.99/5.39 | Equations (1031) can reduce 194 to:
% 20.99/5.39 | (3917) ~ (all_0_56_56 = e3)
% 20.99/5.39 |
% 20.99/5.39 | Simplifying 3917 yields:
% 20.99/5.39 | (596) ~ (all_0_56_56 = e3)
% 20.99/5.39 |
% 20.99/5.39 | Equations (1031) can reduce 20 to:
% 20.99/5.39 | (424) ~ (all_0_57_57 = e3)
% 20.99/5.39 |
% 20.99/5.39 | Simplifying 424 yields:
% 20.99/5.39 | (425) ~ (all_0_57_57 = e3)
% 20.99/5.39 |
% 20.99/5.39 | Equations (1031) can reduce 375 to:
% 20.99/5.39 | (426) ~ (e4 = e3)
% 20.99/5.39 |
% 20.99/5.39 | Simplifying 426 yields:
% 20.99/5.39 | (199) ~ (e4 = e3)
% 20.99/5.39 |
% 20.99/5.39 | Equations (1031) can reduce 372 to:
% 20.99/5.39 | (81) ~ (e3 = e0)
% 20.99/5.39 |
% 20.99/5.39 | Instantiating formula (151) with e3, e1, all_0_4_4, all_0_45_45 and discharging atoms op(e3, e1) = all_0_4_4, op(e3, e1) = all_0_45_45, yields:
% 20.99/5.39 | (5007) all_0_4_4 = all_0_45_45
% 20.99/5.39 |
% 20.99/5.39 | Instantiating formula (151) with e2, e3, all_0_2_2, e1 and discharging atoms op(e2, e3) = all_0_2_2, op(e2, e3) = e1, yields:
% 20.99/5.39 | (812) all_0_2_2 = e1
% 20.99/5.39 |
% 20.99/5.39 +-Applying beta-rule and splitting (186), into two cases.
% 20.99/5.39 |-Branch one:
% 20.99/5.39 | (979) all_0_42_42 = e1
% 20.99/5.39 |
% 20.99/5.39 | Equations (979) can reduce 84 to:
% 20.99/5.39 | (3830) ~ (all_0_44_44 = e1)
% 20.99/5.39 |
% 20.99/5.39 | Simplifying 3830 yields:
% 20.99/5.39 | (55) ~ (all_0_44_44 = e1)
% 20.99/5.39 |
% 20.99/5.39 | Equations (979) can reduce 208 to:
% 20.99/5.39 | (3832) ~ (all_0_45_45 = e1)
% 20.99/5.39 |
% 20.99/5.39 | Simplifying 3832 yields:
% 20.99/5.39 | (477) ~ (all_0_45_45 = e1)
% 20.99/5.39 |
% 20.99/5.39 | From (979) and (159) follows:
% 20.99/5.39 | (1567) op(e1, e4) = all_0_8_8
% 20.99/5.39 |
% 20.99/5.39 +-Applying beta-rule and splitting (160), into two cases.
% 20.99/5.39 |-Branch one:
% 20.99/5.39 | (752) all_0_45_45 = e2
% 20.99/5.39 |
% 20.99/5.40 | Combining equations (752,5007) yields a new equation:
% 20.99/5.40 | (1726) all_0_4_4 = e2
% 20.99/5.40 |
% 20.99/5.40 | Equations (752) can reduce 38 to:
% 20.99/5.40 | (261) ~ (all_0_44_44 = e2)
% 20.99/5.40 |
% 20.99/5.40 | Equations (752) can reduce 75 to:
% 20.99/5.40 | (451) ~ (all_0_57_57 = e2)
% 20.99/5.40 |
% 20.99/5.40 | Simplifying 451 yields:
% 20.99/5.40 | (452) ~ (all_0_57_57 = e2)
% 20.99/5.40 |
% 20.99/5.40 | Equations (752) can reduce 489 to:
% 20.99/5.40 | (271) ~ (e4 = e2)
% 20.99/5.40 |
% 20.99/5.40 | Simplifying 271 yields:
% 20.99/5.40 | (42) ~ (e4 = e2)
% 20.99/5.40 |
% 20.99/5.40 | Equations (752) can reduce 770 to:
% 20.99/5.40 | (284) ~ (e3 = e2)
% 20.99/5.40 |
% 20.99/5.40 | Simplifying 284 yields:
% 20.99/5.40 | (231) ~ (e3 = e2)
% 20.99/5.40 |
% 20.99/5.40 | Equations (752) can reduce 163 to:
% 20.99/5.40 | (133) ~ (e2 = e0)
% 20.99/5.40 |
% 20.99/5.40 | From (752) and (44) follows:
% 20.99/5.40 | (1557) op(e2, e1) = all_0_13_13
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (239), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (747) all_0_44_44 = e2
% 20.99/5.40 |
% 20.99/5.40 | Equations (747) can reduce 261 to:
% 20.99/5.40 | (301) $false
% 20.99/5.40 |
% 20.99/5.40 |-The branch is then unsatisfiable
% 20.99/5.40 |-Branch two:
% 20.99/5.40 | (261) ~ (all_0_44_44 = e2)
% 20.99/5.40 | (1634) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e0
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (1634), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (403) all_0_44_44 = e4
% 20.99/5.40 |
% 20.99/5.40 | Combining equations (403,5464) yields a new equation:
% 20.99/5.40 | (1724) all_0_28_28 = e4
% 20.99/5.40 |
% 20.99/5.40 | Equations (403) can reduce 124 to:
% 20.99/5.40 | (411) ~ (all_0_56_56 = e4)
% 20.99/5.40 |
% 20.99/5.40 | Simplifying 411 yields:
% 20.99/5.40 | (376) ~ (all_0_56_56 = e4)
% 20.99/5.40 |
% 20.99/5.40 | Equations (403) can reduce 417 to:
% 20.99/5.40 | (199) ~ (e4 = e3)
% 20.99/5.40 |
% 20.99/5.40 | Equations (403) can reduce 261 to:
% 20.99/5.40 | (42) ~ (e4 = e2)
% 20.99/5.40 |
% 20.99/5.40 | Equations (403) can reduce 55 to:
% 20.99/5.40 | (114) ~ (e4 = e1)
% 20.99/5.40 |
% 20.99/5.40 | Equations (403) can reduce 525 to:
% 20.99/5.40 | (43) ~ (e4 = e0)
% 20.99/5.40 |
% 20.99/5.40 | From (403) and (185) follows:
% 20.99/5.40 | (1683) op(e4, e2) = all_0_11_11
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (106), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (717) all_0_54_54 = e4
% 20.99/5.40 |
% 20.99/5.40 | Equations (717) can reduce 190 to:
% 20.99/5.40 | (411) ~ (all_0_56_56 = e4)
% 20.99/5.40 |
% 20.99/5.40 | Simplifying 411 yields:
% 20.99/5.40 | (376) ~ (all_0_56_56 = e4)
% 20.99/5.40 |
% 20.99/5.40 | Equations (717) can reduce 223 to:
% 20.99/5.40 | (644) ~ (all_0_57_57 = e4)
% 20.99/5.40 |
% 20.99/5.40 | Simplifying 644 yields:
% 20.99/5.40 | (377) ~ (all_0_57_57 = e4)
% 20.99/5.40 |
% 20.99/5.40 | Equations (717) can reduce 206 to:
% 20.99/5.40 | (199) ~ (e4 = e3)
% 20.99/5.40 |
% 20.99/5.40 | Equations (717) can reduce 283 to:
% 20.99/5.40 | (42) ~ (e4 = e2)
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (19), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (458) all_0_57_57 = e2
% 20.99/5.40 |
% 20.99/5.40 | Equations (458) can reduce 452 to:
% 20.99/5.40 | (301) $false
% 20.99/5.40 |
% 20.99/5.40 |-The branch is then unsatisfiable
% 20.99/5.40 |-Branch two:
% 20.99/5.40 | (452) ~ (all_0_57_57 = e2)
% 20.99/5.40 | (461) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e1
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (121), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (747) all_0_44_44 = e2
% 20.99/5.40 |
% 20.99/5.40 | Combining equations (403,747) yields a new equation:
% 20.99/5.40 | (553) e4 = e2
% 20.99/5.40 |
% 20.99/5.40 | Simplifying 553 yields:
% 20.99/5.40 | (504) e4 = e2
% 20.99/5.40 |
% 20.99/5.40 | Equations (504) can reduce 42 to:
% 20.99/5.40 | (301) $false
% 20.99/5.40 |
% 20.99/5.40 |-The branch is then unsatisfiable
% 20.99/5.40 |-Branch two:
% 20.99/5.40 | (261) ~ (all_0_44_44 = e2)
% 20.99/5.40 | (3570) all_0_48_48 = e2 | all_0_53_53 = e2 | all_0_56_56 = e2
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (179), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (637) all_0_56_56 = e2
% 20.99/5.40 |
% 20.99/5.40 | Equations (637) can reduce 243 to:
% 20.99/5.40 | (451) ~ (all_0_57_57 = e2)
% 20.99/5.40 |
% 20.99/5.40 | Simplifying 451 yields:
% 20.99/5.40 | (452) ~ (all_0_57_57 = e2)
% 20.99/5.40 |
% 20.99/5.40 | Equations (637) can reduce 376 to:
% 20.99/5.40 | (271) ~ (e4 = e2)
% 20.99/5.40 |
% 20.99/5.40 | Simplifying 271 yields:
% 20.99/5.40 | (42) ~ (e4 = e2)
% 20.99/5.40 |
% 20.99/5.40 | Equations (637) can reduce 596 to:
% 20.99/5.40 | (284) ~ (e3 = e2)
% 20.99/5.40 |
% 20.99/5.40 | Simplifying 284 yields:
% 20.99/5.40 | (231) ~ (e3 = e2)
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (461), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (469) all_0_57_57 = e4
% 20.99/5.40 |
% 20.99/5.40 | Equations (469) can reduce 377 to:
% 20.99/5.40 | (301) $false
% 20.99/5.40 |
% 20.99/5.40 |-The branch is then unsatisfiable
% 20.99/5.40 |-Branch two:
% 20.99/5.40 | (377) ~ (all_0_57_57 = e4)
% 20.99/5.40 | (472) all_0_57_57 = e3 | all_0_57_57 = e1
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (472), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (473) all_0_57_57 = e3
% 20.99/5.40 |
% 20.99/5.40 | Equations (473) can reduce 425 to:
% 20.99/5.40 | (301) $false
% 20.99/5.40 |
% 20.99/5.40 |-The branch is then unsatisfiable
% 20.99/5.40 |-Branch two:
% 20.99/5.40 | (425) ~ (all_0_57_57 = e3)
% 20.99/5.40 | (476) all_0_57_57 = e1
% 20.99/5.40 |
% 20.99/5.40 | Equations (476) can reduce 377 to:
% 20.99/5.40 | (479) ~ (e4 = e1)
% 20.99/5.40 |
% 20.99/5.40 | Simplifying 479 yields:
% 20.99/5.40 | (114) ~ (e4 = e1)
% 20.99/5.40 |
% 20.99/5.40 | Equations (476) can reduce 425 to:
% 20.99/5.40 | (786) ~ (e3 = e1)
% 20.99/5.40 |
% 20.99/5.40 | Simplifying 786 yields:
% 20.99/5.40 | (234) ~ (e3 = e1)
% 20.99/5.40 |
% 20.99/5.40 | Equations (476) can reduce 452 to:
% 20.99/5.40 | (788) ~ (e2 = e1)
% 20.99/5.40 |
% 20.99/5.40 | Simplifying 788 yields:
% 20.99/5.40 | (122) ~ (e2 = e1)
% 20.99/5.40 |
% 20.99/5.40 | Instantiating formula (151) with e4, e2, all_0_11_11, e1 and discharging atoms op(e4, e2) = all_0_11_11, op(e4, e2) = e1, yields:
% 20.99/5.40 | (1721) all_0_11_11 = e1
% 20.99/5.40 |
% 20.99/5.40 | Instantiating formula (151) with e2, e1, all_0_13_13, e4 and discharging atoms op(e2, e1) = all_0_13_13, op(e2, e1) = e4, yields:
% 20.99/5.40 | (1729) all_0_13_13 = e4
% 20.99/5.40 |
% 20.99/5.40 | Instantiating formula (151) with e1, e4, all_0_8_8, e2 and discharging atoms op(e1, e4) = all_0_8_8, op(e1, e4) = e2, yields:
% 20.99/5.40 | (1730) all_0_8_8 = e2
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (128), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (837) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)) | (all_0_42_42 = e2 & ~ (all_0_44_44 = e4))
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (837), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (838) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1))
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (838), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (839) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56))
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (839), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (840) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55))
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (840), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (841) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54))
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (841), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (842) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53))
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (842), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (843) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52))
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (843), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (844) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51))
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (844), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (845) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56))
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (845), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (846) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53))
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (846), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (847) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47))
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (847), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (848) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55))
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (848), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (849) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52))
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (849), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (850) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47))
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (850), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (851) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42))
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (851), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (852) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54))
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (852), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (853) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51))
% 20.99/5.40 |
% 20.99/5.40 +-Applying beta-rule and splitting (853), into two cases.
% 20.99/5.40 |-Branch one:
% 20.99/5.40 | (854) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)
% 20.99/5.40 |
% 20.99/5.40 | Applying alpha-rule on (854) yields:
% 20.99/5.40 | (855) all_0_2_2 = e4
% 20.99/5.40 | (856) ~ (all_0_1_1 = e3)
% 20.99/5.40 | (857) ~ (all_0_39_39 = all_0_42_42)
% 20.99/5.40 |
% 20.99/5.40 | Combining equations (855,812) yields a new equation:
% 20.99/5.40 | (858) e4 = e1
% 20.99/5.40 |
% 20.99/5.40 | Simplifying 858 yields:
% 20.99/5.40 | (484) e4 = e1
% 20.99/5.40 |
% 20.99/5.40 | Equations (484) can reduce 114 to:
% 20.99/5.40 | (301) $false
% 20.99/5.40 |
% 20.99/5.40 |-The branch is then unsatisfiable
% 20.99/5.40 |-Branch two:
% 20.99/5.40 | (861) all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)
% 20.99/5.40 |
% 20.99/5.40 | Applying alpha-rule on (861) yields:
% 20.99/5.40 | (862) all_0_4_4 = e4
% 20.99/5.40 | (863) ~ (all_0_3_3 = e1)
% 20.99/5.40 | (864) ~ (all_0_40_40 = all_0_51_51)
% 20.99/5.40 |
% 20.99/5.40 | Combining equations (862,1726) yields a new equation:
% 20.99/5.40 | (553) e4 = e2
% 20.99/5.40 |
% 20.99/5.40 | Simplifying 553 yields:
% 20.99/5.40 | (504) e4 = e2
% 20.99/5.40 |
% 20.99/5.40 | Equations (504) can reduce 42 to:
% 20.99/5.40 | (301) $false
% 20.99/5.40 |
% 20.99/5.40 |-The branch is then unsatisfiable
% 20.99/5.40 |-Branch two:
% 20.99/5.40 | (868) all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)
% 20.99/5.40 |
% 20.99/5.40 | Applying alpha-rule on (868) yields:
% 20.99/5.40 | (869) all_0_6_6 = e4
% 20.99/5.40 | (870) ~ (all_0_5_5 = e0)
% 20.99/5.40 | (871) ~ (all_0_41_41 = all_0_54_54)
% 20.99/5.40 |
% 20.99/5.40 | Equations (545,717) can reduce 871 to:
% 20.99/5.40 | (301) $false
% 20.99/5.40 |
% 20.99/5.40 |-The branch is then unsatisfiable
% 20.99/5.40 |-Branch two:
% 20.99/5.40 | (873) all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)
% 20.99/5.40 |
% 20.99/5.40 | Applying alpha-rule on (873) yields:
% 20.99/5.40 | (874) all_0_8_8 = e3
% 20.99/5.40 | (875) ~ (all_0_7_7 = e4)
% 20.99/5.40 | (857) ~ (all_0_39_39 = all_0_42_42)
% 20.99/5.40 |
% 20.99/5.40 | Combining equations (874,1730) yields a new equation:
% 20.99/5.40 | (572) e3 = e2
% 20.99/5.40 |
% 20.99/5.40 | Simplifying 572 yields:
% 20.99/5.41 | (573) e3 = e2
% 20.99/5.41 |
% 20.99/5.41 | Equations (573) can reduce 231 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (880) all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)
% 20.99/5.41 |
% 20.99/5.41 | Applying alpha-rule on (880) yields:
% 20.99/5.41 | (881) all_0_11_11 = e3
% 20.99/5.41 | (882) ~ (all_0_10_10 = e2)
% 20.99/5.41 | (883) ~ (all_0_44_44 = all_0_47_47)
% 20.99/5.41 |
% 20.99/5.41 | Combining equations (881,1721) yields a new equation:
% 20.99/5.41 | (707) e3 = e1
% 20.99/5.41 |
% 20.99/5.41 | Simplifying 707 yields:
% 20.99/5.41 | (708) e3 = e1
% 20.99/5.41 |
% 20.99/5.41 | Equations (708) can reduce 234 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (886) all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)
% 20.99/5.41 |
% 20.99/5.41 | Applying alpha-rule on (886) yields:
% 20.99/5.41 | (887) all_0_13_13 = e3
% 20.99/5.41 | (888) ~ (all_0_12_12 = e1)
% 20.99/5.41 | (889) ~ (all_0_45_45 = all_0_52_52)
% 20.99/5.41 |
% 20.99/5.41 | Combining equations (887,1729) yields a new equation:
% 20.99/5.41 | (420) e4 = e3
% 20.99/5.41 |
% 20.99/5.41 | Equations (420) can reduce 199 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (893) all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)
% 20.99/5.41 |
% 20.99/5.41 | Applying alpha-rule on (893) yields:
% 20.99/5.41 | (894) all_0_15_15 = e3
% 20.99/5.41 | (895) ~ (all_0_14_14 = e0)
% 20.99/5.41 | (896) ~ (all_0_46_46 = all_0_55_55)
% 20.99/5.41 |
% 20.99/5.41 | Equations (570,1031) can reduce 896 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (900) all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)
% 20.99/5.41 |
% 20.99/5.41 | Applying alpha-rule on (900) yields:
% 20.99/5.41 | (901) all_0_17_17 = e2
% 20.99/5.41 | (902) ~ (all_0_16_16 = e3)
% 20.99/5.41 | (883) ~ (all_0_44_44 = all_0_47_47)
% 20.99/5.41 |
% 20.99/5.41 | Combining equations (901,827) yields a new equation:
% 20.99/5.41 | (504) e4 = e2
% 20.99/5.41 |
% 20.99/5.41 | Equations (504) can reduce 42 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (906) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)
% 20.99/5.41 |
% 20.99/5.41 | Applying alpha-rule on (906) yields:
% 20.99/5.41 | (907) all_0_20_20 = e2
% 20.99/5.41 | (908) ~ (all_0_19_19 = e1)
% 20.99/5.41 | (909) ~ (all_0_49_49 = all_0_53_53)
% 20.99/5.41 |
% 20.99/5.41 | Combining equations (907,808) yields a new equation:
% 20.99/5.41 | (573) e3 = e2
% 20.99/5.41 |
% 20.99/5.41 | Equations (573) can reduce 231 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (912) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)
% 20.99/5.41 |
% 20.99/5.41 | Applying alpha-rule on (912) yields:
% 20.99/5.41 | (913) all_0_22_22 = e2
% 20.99/5.41 | (914) ~ (all_0_21_21 = e0)
% 20.99/5.41 | (915) ~ (all_0_50_50 = all_0_56_56)
% 20.99/5.41 |
% 20.99/5.41 | Equations (331,637) can reduce 915 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (918) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)
% 20.99/5.41 |
% 20.99/5.41 | Applying alpha-rule on (918) yields:
% 20.99/5.41 | (919) all_0_24_24 = e1
% 20.99/5.41 | (920) ~ (all_0_23_23 = e4)
% 20.99/5.41 | (864) ~ (all_0_40_40 = all_0_51_51)
% 20.99/5.41 |
% 20.99/5.41 | Combining equations (919,290) yields a new equation:
% 20.99/5.41 | (708) e3 = e1
% 20.99/5.41 |
% 20.99/5.41 | Equations (708) can reduce 234 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (924) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)
% 20.99/5.41 |
% 20.99/5.41 | Applying alpha-rule on (924) yields:
% 20.99/5.41 | (925) all_0_26_26 = e1
% 20.99/5.41 | (926) ~ (all_0_25_25 = e3)
% 20.99/5.41 | (889) ~ (all_0_45_45 = all_0_52_52)
% 20.99/5.41 |
% 20.99/5.41 | Combining equations (925,826) yields a new equation:
% 20.99/5.41 | (928) e2 = e1
% 20.99/5.41 |
% 20.99/5.41 | Equations (928) can reduce 122 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (930) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)
% 20.99/5.41 |
% 20.99/5.41 | Applying alpha-rule on (930) yields:
% 20.99/5.41 | (931) all_0_28_28 = e1
% 20.99/5.41 | (932) ~ (all_0_27_27 = e2)
% 20.99/5.41 | (909) ~ (all_0_49_49 = all_0_53_53)
% 20.99/5.41 |
% 20.99/5.41 | Combining equations (931,1724) yields a new equation:
% 20.99/5.41 | (484) e4 = e1
% 20.99/5.41 |
% 20.99/5.41 | Equations (484) can reduce 114 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (937) all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)
% 20.99/5.41 |
% 20.99/5.41 | Applying alpha-rule on (937) yields:
% 20.99/5.41 | (938) all_0_30_30 = e0
% 20.99/5.41 | (939) ~ (all_0_29_29 = e4)
% 20.99/5.41 | (871) ~ (all_0_41_41 = all_0_54_54)
% 20.99/5.41 |
% 20.99/5.41 | Equations (545,717) can reduce 871 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (944) all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)
% 20.99/5.41 |
% 20.99/5.41 | Applying alpha-rule on (944) yields:
% 20.99/5.41 | (945) all_0_32_32 = e0
% 20.99/5.41 | (946) ~ (all_0_31_31 = e3)
% 20.99/5.41 | (896) ~ (all_0_46_46 = all_0_55_55)
% 20.99/5.41 |
% 20.99/5.41 | Equations (570,1031) can reduce 896 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (949) all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)
% 20.99/5.41 |
% 20.99/5.41 | Applying alpha-rule on (949) yields:
% 20.99/5.41 | (950) all_0_34_34 = e0
% 20.99/5.41 | (951) ~ (all_0_33_33 = e2)
% 20.99/5.41 | (915) ~ (all_0_50_50 = all_0_56_56)
% 20.99/5.41 |
% 20.99/5.41 | Equations (331,637) can reduce 915 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (956) all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)
% 20.99/5.41 |
% 20.99/5.41 | Applying alpha-rule on (956) yields:
% 20.99/5.41 | (957) all_0_36_36 = e0
% 20.99/5.41 | (958) ~ (all_0_35_35 = e1)
% 20.99/5.41 | (726) ~ (all_0_57_57 = e1)
% 20.99/5.41 |
% 20.99/5.41 | Equations (476) can reduce 726 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (963) all_0_42_42 = e2 & ~ (all_0_44_44 = e4)
% 20.99/5.41 |
% 20.99/5.41 | Applying alpha-rule on (963) yields:
% 20.99/5.41 | (737) all_0_42_42 = e2
% 20.99/5.41 | (407) ~ (all_0_44_44 = e4)
% 20.99/5.41 |
% 20.99/5.41 | Combining equations (979,737) yields a new equation:
% 20.99/5.41 | (928) e2 = e1
% 20.99/5.41 |
% 20.99/5.41 | Equations (928) can reduce 122 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (969) all_0_53_53 = e4 & ~ (all_0_51_51 = e2)
% 20.99/5.41 |
% 20.99/5.41 | Applying alpha-rule on (969) yields:
% 20.99/5.41 | (409) all_0_53_53 = e4
% 20.99/5.41 | (971) ~ (all_0_51_51 = e2)
% 20.99/5.41 |
% 20.99/5.41 | Combining equations (419,409) yields a new equation:
% 20.99/5.41 | (420) e4 = e3
% 20.99/5.41 |
% 20.99/5.41 | Equations (420) can reduce 199 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (270) ~ (all_0_56_56 = e2)
% 20.99/5.41 | (640) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0
% 20.99/5.41 |
% 20.99/5.41 +-Applying beta-rule and splitting (3570), into two cases.
% 20.99/5.41 |-Branch one:
% 20.99/5.41 | (260) all_0_48_48 = e2
% 20.99/5.41 |
% 20.99/5.41 | Combining equations (260,351) yields a new equation:
% 20.99/5.41 | (352) e2 = e0
% 20.99/5.41 |
% 20.99/5.41 | Simplifying 352 yields:
% 20.99/5.41 | (345) e2 = e0
% 20.99/5.41 |
% 20.99/5.41 | Equations (345) can reduce 133 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (2801) ~ (all_0_48_48 = e2)
% 20.99/5.41 | (3648) all_0_53_53 = e2 | all_0_56_56 = e2
% 20.99/5.41 |
% 20.99/5.41 +-Applying beta-rule and splitting (3648), into two cases.
% 20.99/5.41 |-Branch one:
% 20.99/5.41 | (1254) all_0_53_53 = e2
% 20.99/5.41 |
% 20.99/5.41 | Combining equations (419,1254) yields a new equation:
% 20.99/5.41 | (572) e3 = e2
% 20.99/5.41 |
% 20.99/5.41 | Simplifying 572 yields:
% 20.99/5.41 | (573) e3 = e2
% 20.99/5.41 |
% 20.99/5.41 | Equations (573) can reduce 231 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (268) ~ (all_0_53_53 = e2)
% 20.99/5.41 | (637) all_0_56_56 = e2
% 20.99/5.41 |
% 20.99/5.41 | Equations (637) can reduce 270 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (643) ~ (all_0_54_54 = e4)
% 20.99/5.41 | (1869) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4
% 20.99/5.41 |
% 20.99/5.41 +-Applying beta-rule and splitting (121), into two cases.
% 20.99/5.41 |-Branch one:
% 20.99/5.41 | (747) all_0_44_44 = e2
% 20.99/5.41 |
% 20.99/5.41 | Combining equations (403,747) yields a new equation:
% 20.99/5.41 | (553) e4 = e2
% 20.99/5.41 |
% 20.99/5.41 | Simplifying 553 yields:
% 20.99/5.41 | (504) e4 = e2
% 20.99/5.41 |
% 20.99/5.41 | Equations (504) can reduce 42 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (261) ~ (all_0_44_44 = e2)
% 20.99/5.41 | (3570) all_0_48_48 = e2 | all_0_53_53 = e2 | all_0_56_56 = e2
% 20.99/5.41 |
% 20.99/5.41 +-Applying beta-rule and splitting (179), into two cases.
% 20.99/5.41 |-Branch one:
% 20.99/5.41 | (637) all_0_56_56 = e2
% 20.99/5.41 |
% 20.99/5.41 | Equations (637) can reduce 376 to:
% 20.99/5.41 | (271) ~ (e4 = e2)
% 20.99/5.41 |
% 20.99/5.41 | Simplifying 271 yields:
% 20.99/5.41 | (42) ~ (e4 = e2)
% 20.99/5.41 |
% 20.99/5.41 +-Applying beta-rule and splitting (1869), into two cases.
% 20.99/5.41 |-Branch one:
% 20.99/5.41 | (503) all_0_55_55 = e4
% 20.99/5.41 |
% 20.99/5.41 | Combining equations (1031,503) yields a new equation:
% 20.99/5.41 | (420) e4 = e3
% 20.99/5.41 |
% 20.99/5.41 | Equations (420) can reduce 199 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (375) ~ (all_0_55_55 = e4)
% 20.99/5.41 | (1874) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4
% 20.99/5.41 |
% 20.99/5.41 +-Applying beta-rule and splitting (98), into two cases.
% 20.99/5.41 |-Branch one:
% 20.99/5.41 | (294) all_0_38_38 = e4
% 20.99/5.41 |
% 20.99/5.41 | Combining equations (315,294) yields a new equation:
% 20.99/5.41 | (317) e4 = e0
% 20.99/5.41 |
% 20.99/5.41 | Equations (317) can reduce 43 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (540) ~ (all_0_38_38 = e4)
% 20.99/5.41 | (1618) all_0_42_42 = e4 | all_0_51_51 = e4 | all_0_54_54 = e4
% 20.99/5.41 |
% 20.99/5.41 +-Applying beta-rule and splitting (1618), into two cases.
% 20.99/5.41 |-Branch one:
% 20.99/5.41 | (794) all_0_42_42 = e4
% 20.99/5.41 |
% 20.99/5.41 | Combining equations (979,794) yields a new equation:
% 20.99/5.41 | (484) e4 = e1
% 20.99/5.41 |
% 20.99/5.41 | Equations (484) can reduce 114 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (974) ~ (all_0_42_42 = e4)
% 20.99/5.41 | (6039) all_0_51_51 = e4 | all_0_54_54 = e4
% 20.99/5.41 |
% 20.99/5.41 +-Applying beta-rule and splitting (1874), into two cases.
% 20.99/5.41 |-Branch one:
% 20.99/5.41 | (523) all_0_56_56 = e4
% 20.99/5.41 |
% 20.99/5.41 | Combining equations (637,523) yields a new equation:
% 20.99/5.41 | (504) e4 = e2
% 20.99/5.41 |
% 20.99/5.41 | Equations (504) can reduce 42 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (376) ~ (all_0_56_56 = e4)
% 20.99/5.41 | (1880) all_0_57_57 = e4 | all_0_58_58 = e4
% 20.99/5.41 |
% 20.99/5.41 | Equations (637) can reduce 376 to:
% 20.99/5.41 | (271) ~ (e4 = e2)
% 20.99/5.41 |
% 20.99/5.41 | Simplifying 271 yields:
% 20.99/5.41 | (42) ~ (e4 = e2)
% 20.99/5.41 |
% 20.99/5.41 +-Applying beta-rule and splitting (6039), into two cases.
% 20.99/5.41 |-Branch one:
% 20.99/5.41 | (654) all_0_51_51 = e4
% 20.99/5.41 |
% 20.99/5.41 | Combining equations (654,276) yields a new equation:
% 20.99/5.41 | (553) e4 = e2
% 20.99/5.41 |
% 20.99/5.41 | Simplifying 553 yields:
% 20.99/5.41 | (504) e4 = e2
% 20.99/5.41 |
% 20.99/5.41 | Equations (504) can reduce 42 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (657) ~ (all_0_51_51 = e4)
% 20.99/5.41 | (717) all_0_54_54 = e4
% 20.99/5.41 |
% 20.99/5.41 | Equations (717) can reduce 643 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (270) ~ (all_0_56_56 = e2)
% 20.99/5.41 | (640) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0
% 20.99/5.41 |
% 20.99/5.41 +-Applying beta-rule and splitting (3570), into two cases.
% 20.99/5.41 |-Branch one:
% 20.99/5.41 | (260) all_0_48_48 = e2
% 20.99/5.41 |
% 20.99/5.41 | Combining equations (260,351) yields a new equation:
% 20.99/5.41 | (352) e2 = e0
% 20.99/5.41 |
% 20.99/5.41 | Simplifying 352 yields:
% 20.99/5.41 | (345) e2 = e0
% 20.99/5.41 |
% 20.99/5.41 | Equations (345) can reduce 133 to:
% 20.99/5.41 | (301) $false
% 20.99/5.41 |
% 20.99/5.41 |-The branch is then unsatisfiable
% 20.99/5.41 |-Branch two:
% 20.99/5.41 | (2801) ~ (all_0_48_48 = e2)
% 20.99/5.41 | (3648) all_0_53_53 = e2 | all_0_56_56 = e2
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (3648), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (1254) all_0_53_53 = e2
% 20.99/5.42 |
% 20.99/5.42 | Combining equations (419,1254) yields a new equation:
% 20.99/5.42 | (572) e3 = e2
% 20.99/5.42 |
% 20.99/5.42 | Simplifying 572 yields:
% 20.99/5.42 | (573) e3 = e2
% 20.99/5.42 |
% 20.99/5.42 | Equations (573) can reduce 231 to:
% 20.99/5.42 | (301) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (268) ~ (all_0_53_53 = e2)
% 20.99/5.42 | (637) all_0_56_56 = e2
% 20.99/5.42 |
% 20.99/5.42 | Equations (637) can reduce 270 to:
% 20.99/5.42 | (301) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (407) ~ (all_0_44_44 = e4)
% 20.99/5.42 | (1920) all_0_44_44 = e3 | all_0_44_44 = e0
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (21), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (403) all_0_44_44 = e4
% 20.99/5.42 |
% 20.99/5.42 | Equations (403) can reduce 407 to:
% 20.99/5.42 | (301) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (407) ~ (all_0_44_44 = e4)
% 20.99/5.42 | (408) all_0_53_53 = e4 | all_0_56_56 = e4
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (121), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (747) all_0_44_44 = e2
% 20.99/5.42 |
% 20.99/5.42 | Equations (747) can reduce 261 to:
% 20.99/5.42 | (301) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (261) ~ (all_0_44_44 = e2)
% 20.99/5.42 | (3570) all_0_48_48 = e2 | all_0_53_53 = e2 | all_0_56_56 = e2
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (3570), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (260) all_0_48_48 = e2
% 20.99/5.42 |
% 20.99/5.42 | Combining equations (351,260) yields a new equation:
% 20.99/5.42 | (345) e2 = e0
% 20.99/5.42 |
% 20.99/5.42 | Equations (345) can reduce 133 to:
% 20.99/5.42 | (301) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (2801) ~ (all_0_48_48 = e2)
% 20.99/5.42 | (3648) all_0_53_53 = e2 | all_0_56_56 = e2
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (408), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (409) all_0_53_53 = e4
% 20.99/5.42 |
% 20.99/5.42 | Combining equations (419,409) yields a new equation:
% 20.99/5.42 | (420) e4 = e3
% 20.99/5.42 |
% 20.99/5.42 | Equations (420) can reduce 199 to:
% 20.99/5.42 | (301) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (522) ~ (all_0_53_53 = e4)
% 20.99/5.42 | (523) all_0_56_56 = e4
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (3648), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (1254) all_0_53_53 = e2
% 20.99/5.42 |
% 20.99/5.42 | Combining equations (419,1254) yields a new equation:
% 20.99/5.42 | (572) e3 = e2
% 20.99/5.42 |
% 20.99/5.42 | Simplifying 572 yields:
% 20.99/5.42 | (573) e3 = e2
% 20.99/5.42 |
% 20.99/5.42 | Equations (573) can reduce 231 to:
% 20.99/5.42 | (301) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (268) ~ (all_0_53_53 = e2)
% 20.99/5.42 | (637) all_0_56_56 = e2
% 20.99/5.42 |
% 20.99/5.42 | Combining equations (523,637) yields a new equation:
% 20.99/5.42 | (553) e4 = e2
% 20.99/5.42 |
% 20.99/5.42 | Simplifying 553 yields:
% 20.99/5.42 | (504) e4 = e2
% 20.99/5.42 |
% 20.99/5.42 | Equations (504) can reduce 42 to:
% 20.99/5.42 | (301) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (730) ~ (all_0_45_45 = e2)
% 20.99/5.42 | (2552) all_0_45_45 = e4 | all_0_45_45 = e3 | all_0_45_45 = e1
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (2552), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (481) all_0_45_45 = e4
% 20.99/5.42 |
% 20.99/5.42 | Equations (481) can reduce 489 to:
% 20.99/5.42 | (301) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (489) ~ (all_0_45_45 = e4)
% 20.99/5.42 | (2556) all_0_45_45 = e3 | all_0_45_45 = e1
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (211), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (784) all_0_45_45 = e1
% 20.99/5.42 |
% 20.99/5.42 | Equations (784) can reduce 477 to:
% 20.99/5.42 | (301) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (477) ~ (all_0_45_45 = e1)
% 20.99/5.42 | (982) all_0_49_49 = e1 | all_0_57_57 = e1
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (2556), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (2016) all_0_45_45 = e3
% 20.99/5.42 |
% 20.99/5.42 | Equations (2016) can reduce 770 to:
% 20.99/5.42 | (301) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (770) ~ (all_0_45_45 = e3)
% 20.99/5.42 | (784) all_0_45_45 = e1
% 20.99/5.42 |
% 20.99/5.42 | Equations (784) can reduce 477 to:
% 20.99/5.42 | (301) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (785) ~ (all_0_42_42 = e1)
% 20.99/5.42 | (724) all_0_54_54 = e1
% 20.99/5.42 |
% 20.99/5.42 | Equations (724) can reduce 181 to:
% 20.99/5.42 | (785) ~ (all_0_42_42 = e1)
% 20.99/5.42 |
% 20.99/5.42 | Equations (724) can reduce 190 to:
% 20.99/5.42 | (2979) ~ (all_0_56_56 = e1)
% 20.99/5.42 |
% 20.99/5.42 | Simplifying 2979 yields:
% 20.99/5.42 | (58) ~ (all_0_56_56 = e1)
% 20.99/5.42 |
% 20.99/5.42 | Equations (724) can reduce 223 to:
% 20.99/5.42 | (725) ~ (all_0_57_57 = e1)
% 20.99/5.42 |
% 20.99/5.42 | Simplifying 725 yields:
% 20.99/5.42 | (726) ~ (all_0_57_57 = e1)
% 20.99/5.42 |
% 20.99/5.42 | Equations (724) can reduce 682 to:
% 20.99/5.42 | (247) ~ (e1 = e0)
% 20.99/5.42 |
% 20.99/5.42 | From (724) and (52) follows:
% 20.99/5.42 | (727) op(e1, e4) = all_0_30_30
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (98), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (294) all_0_38_38 = e4
% 20.99/5.42 |
% 20.99/5.42 | Combining equations (294,315) yields a new equation:
% 20.99/5.42 | (316) e4 = e0
% 20.99/5.42 |
% 20.99/5.42 | Simplifying 316 yields:
% 20.99/5.42 | (317) e4 = e0
% 20.99/5.42 |
% 20.99/5.42 | Equations (317) can reduce 43 to:
% 20.99/5.42 | (301) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (540) ~ (all_0_38_38 = e4)
% 20.99/5.42 | (1618) all_0_42_42 = e4 | all_0_51_51 = e4 | all_0_54_54 = e4
% 20.99/5.42 |
% 20.99/5.42 | Equations (315) can reduce 540 to:
% 20.99/5.42 | (311) ~ (e4 = e0)
% 20.99/5.42 |
% 20.99/5.42 | Simplifying 311 yields:
% 20.99/5.42 | (43) ~ (e4 = e0)
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (28), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (979) all_0_42_42 = e1
% 20.99/5.42 |
% 20.99/5.42 | Equations (979) can reduce 785 to:
% 20.99/5.42 | (301) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (785) ~ (all_0_42_42 = e1)
% 20.99/5.42 | (1997) all_0_43_43 = e1 | all_0_45_45 = e1
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (106), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (717) all_0_54_54 = e4
% 20.99/5.42 |
% 20.99/5.42 | Combining equations (724,717) yields a new equation:
% 20.99/5.42 | (484) e4 = e1
% 20.99/5.42 |
% 20.99/5.42 | Equations (484) can reduce 114 to:
% 20.99/5.42 | (301) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (643) ~ (all_0_54_54 = e4)
% 20.99/5.42 | (1869) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (1869), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (503) all_0_55_55 = e4
% 20.99/5.42 |
% 20.99/5.42 | Combining equations (503,1031) yields a new equation:
% 20.99/5.42 | (508) e4 = e3
% 20.99/5.42 |
% 20.99/5.42 | Simplifying 508 yields:
% 20.99/5.42 | (420) e4 = e3
% 20.99/5.42 |
% 20.99/5.42 | Equations (420) can reduce 199 to:
% 20.99/5.42 | (301) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (375) ~ (all_0_55_55 = e4)
% 20.99/5.42 | (1874) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (1874), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (523) all_0_56_56 = e4
% 20.99/5.42 |
% 20.99/5.42 | Equations (523) can reduce 124 to:
% 20.99/5.42 | (407) ~ (all_0_44_44 = e4)
% 20.99/5.42 |
% 20.99/5.42 | Equations (523) can reduce 243 to:
% 20.99/5.42 | (644) ~ (all_0_57_57 = e4)
% 20.99/5.42 |
% 20.99/5.42 | Simplifying 644 yields:
% 20.99/5.42 | (377) ~ (all_0_57_57 = e4)
% 20.99/5.42 |
% 20.99/5.42 | Equations (523) can reduce 58 to:
% 20.99/5.42 | (114) ~ (e4 = e1)
% 20.99/5.42 |
% 20.99/5.42 | From (523) and (202) follows:
% 20.99/5.42 | (648) op(e4, e2) = all_0_34_34
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (91), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (794) all_0_42_42 = e4
% 20.99/5.42 |
% 20.99/5.42 | Equations (794) can reduce 84 to:
% 20.99/5.42 | (5537) ~ (all_0_44_44 = e4)
% 20.99/5.42 |
% 20.99/5.42 | Simplifying 5537 yields:
% 20.99/5.42 | (407) ~ (all_0_44_44 = e4)
% 20.99/5.42 |
% 20.99/5.42 | Equations (794) can reduce 208 to:
% 20.99/5.42 | (2540) ~ (all_0_45_45 = e4)
% 20.99/5.42 |
% 20.99/5.42 | Simplifying 2540 yields:
% 20.99/5.42 | (489) ~ (all_0_45_45 = e4)
% 20.99/5.42 |
% 20.99/5.42 | Equations (794) can reduce 68 to:
% 20.99/5.42 | (199) ~ (e4 = e3)
% 20.99/5.42 |
% 20.99/5.42 | Equations (794) can reduce 680 to:
% 20.99/5.42 | (43) ~ (e4 = e0)
% 20.99/5.42 |
% 20.99/5.42 | From (794) and (159) follows:
% 20.99/5.42 | (799) op(e4, e4) = all_0_8_8
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (19), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (458) all_0_57_57 = e2
% 20.99/5.42 |
% 20.99/5.42 | Equations (458) can reduce 75 to:
% 20.99/5.42 | (730) ~ (all_0_45_45 = e2)
% 20.99/5.42 |
% 20.99/5.42 | Equations (458) can reduce 377 to:
% 20.99/5.42 | (271) ~ (e4 = e2)
% 20.99/5.42 |
% 20.99/5.42 | Simplifying 271 yields:
% 20.99/5.42 | (42) ~ (e4 = e2)
% 20.99/5.42 |
% 20.99/5.42 | Equations (458) can reduce 425 to:
% 20.99/5.42 | (284) ~ (e3 = e2)
% 20.99/5.42 |
% 20.99/5.42 | Simplifying 284 yields:
% 20.99/5.42 | (231) ~ (e3 = e2)
% 20.99/5.42 |
% 20.99/5.42 | Equations (458) can reduce 189 to:
% 20.99/5.42 | (133) ~ (e2 = e0)
% 20.99/5.42 |
% 20.99/5.42 | From (458) and (73) follows:
% 20.99/5.42 | (735) op(e2, e1) = all_0_36_36
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (121), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (747) all_0_44_44 = e2
% 20.99/5.42 |
% 20.99/5.42 | Combining equations (747,5464) yields a new equation:
% 20.99/5.42 | (3116) all_0_28_28 = e2
% 20.99/5.42 |
% 20.99/5.42 | Equations (747) can reduce 38 to:
% 20.99/5.42 | (2443) ~ (all_0_45_45 = e2)
% 20.99/5.42 |
% 20.99/5.42 | Simplifying 2443 yields:
% 20.99/5.42 | (730) ~ (all_0_45_45 = e2)
% 20.99/5.42 |
% 20.99/5.42 | Equations (747) can reduce 407 to:
% 20.99/5.42 | (271) ~ (e4 = e2)
% 20.99/5.42 |
% 20.99/5.42 | Simplifying 271 yields:
% 20.99/5.42 | (42) ~ (e4 = e2)
% 20.99/5.42 |
% 20.99/5.42 | Equations (747) can reduce 417 to:
% 20.99/5.42 | (284) ~ (e3 = e2)
% 20.99/5.42 |
% 20.99/5.42 | Simplifying 284 yields:
% 20.99/5.42 | (231) ~ (e3 = e2)
% 20.99/5.42 |
% 20.99/5.42 | Equations (747) can reduce 525 to:
% 20.99/5.42 | (133) ~ (e2 = e0)
% 20.99/5.42 |
% 20.99/5.42 | From (747) and (185) follows:
% 20.99/5.42 | (2951) op(e2, e2) = all_0_11_11
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (160), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (752) all_0_45_45 = e2
% 20.99/5.42 |
% 20.99/5.42 | Equations (752) can reduce 730 to:
% 20.99/5.42 | (301) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (730) ~ (all_0_45_45 = e2)
% 20.99/5.42 | (2552) all_0_45_45 = e4 | all_0_45_45 = e3 | all_0_45_45 = e1
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (1997), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (706) all_0_43_43 = e1
% 20.99/5.42 |
% 20.99/5.42 | Combining equations (513,706) yields a new equation:
% 20.99/5.42 | (935) e1 = e0
% 20.99/5.42 |
% 20.99/5.42 | Equations (935) can reduce 247 to:
% 20.99/5.42 | (301) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (710) ~ (all_0_43_43 = e1)
% 20.99/5.42 | (784) all_0_45_45 = e1
% 20.99/5.42 |
% 20.99/5.42 | Combining equations (784,5007) yields a new equation:
% 20.99/5.42 | (810) all_0_4_4 = e1
% 20.99/5.42 |
% 20.99/5.42 | Equations (784) can reduce 489 to:
% 20.99/5.42 | (479) ~ (e4 = e1)
% 20.99/5.42 |
% 20.99/5.42 | Simplifying 479 yields:
% 20.99/5.42 | (114) ~ (e4 = e1)
% 20.99/5.42 |
% 20.99/5.42 | Equations (784) can reduce 770 to:
% 20.99/5.42 | (786) ~ (e3 = e1)
% 20.99/5.42 |
% 20.99/5.42 | Simplifying 786 yields:
% 20.99/5.42 | (234) ~ (e3 = e1)
% 20.99/5.42 |
% 20.99/5.42 | Equations (784) can reduce 730 to:
% 20.99/5.42 | (788) ~ (e2 = e1)
% 20.99/5.42 |
% 20.99/5.42 | Simplifying 788 yields:
% 20.99/5.42 | (122) ~ (e2 = e1)
% 20.99/5.42 |
% 20.99/5.42 | Equations (784) can reduce 163 to:
% 20.99/5.42 | (247) ~ (e1 = e0)
% 20.99/5.42 |
% 20.99/5.42 | From (784) and (44) follows:
% 20.99/5.42 | (792) op(e1, e1) = all_0_13_13
% 20.99/5.42 |
% 20.99/5.42 | Instantiating formula (151) with e4, e4, all_0_8_8, e0 and discharging atoms op(e4, e4) = all_0_8_8, op(e4, e4) = e0, yields:
% 20.99/5.42 | (824) all_0_8_8 = e0
% 20.99/5.42 |
% 20.99/5.42 | Instantiating formula (151) with e4, e2, all_0_34_34, e1 and discharging atoms op(e4, e2) = all_0_34_34, op(e4, e2) = e1, yields:
% 20.99/5.42 | (829) all_0_34_34 = e1
% 20.99/5.42 |
% 20.99/5.42 | Instantiating formula (151) with e2, e2, all_0_11_11, e0 and discharging atoms op(e2, e2) = all_0_11_11, op(e2, e2) = e0, yields:
% 20.99/5.42 | (2998) all_0_11_11 = e0
% 20.99/5.42 |
% 20.99/5.42 | Instantiating formula (151) with e2, e1, all_0_36_36, e4 and discharging atoms op(e2, e1) = all_0_36_36, op(e2, e1) = e4, yields:
% 20.99/5.42 | (813) all_0_36_36 = e4
% 20.99/5.42 |
% 20.99/5.42 | Instantiating formula (151) with e1, e4, all_0_30_30, e2 and discharging atoms op(e1, e4) = all_0_30_30, op(e1, e4) = e2, yields:
% 20.99/5.43 | (816) all_0_30_30 = e2
% 20.99/5.43 |
% 20.99/5.43 | Instantiating formula (151) with e1, e1, all_0_13_13, e0 and discharging atoms op(e1, e1) = all_0_13_13, op(e1, e1) = e0, yields:
% 20.99/5.43 | (819) all_0_13_13 = e0
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (128), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (837) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)) | (all_0_42_42 = e2 & ~ (all_0_44_44 = e4))
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (837), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (838) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1))
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (838), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (839) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56))
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (839), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (840) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55))
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (840), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (841) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54))
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (841), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (842) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53))
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (842), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (843) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52))
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (843), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (844) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51))
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (844), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (845) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56))
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (845), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (846) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53))
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (846), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (847) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47))
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (847), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (848) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55))
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (848), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (849) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52))
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (849), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (850) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47))
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (850), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (851) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42))
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (851), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (852) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54))
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (852), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (853) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51))
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (853), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (854) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)
% 20.99/5.43 |
% 20.99/5.43 | Applying alpha-rule on (854) yields:
% 20.99/5.43 | (855) all_0_2_2 = e4
% 20.99/5.43 | (856) ~ (all_0_1_1 = e3)
% 20.99/5.43 | (857) ~ (all_0_39_39 = all_0_42_42)
% 20.99/5.43 |
% 20.99/5.43 | Combining equations (855,812) yields a new equation:
% 20.99/5.43 | (858) e4 = e1
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 858 yields:
% 20.99/5.43 | (484) e4 = e1
% 20.99/5.43 |
% 20.99/5.43 | Equations (484) can reduce 114 to:
% 20.99/5.43 | (301) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (861) all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)
% 20.99/5.43 |
% 20.99/5.43 | Applying alpha-rule on (861) yields:
% 20.99/5.43 | (862) all_0_4_4 = e4
% 20.99/5.43 | (863) ~ (all_0_3_3 = e1)
% 20.99/5.43 | (864) ~ (all_0_40_40 = all_0_51_51)
% 20.99/5.43 |
% 20.99/5.43 | Combining equations (862,810) yields a new equation:
% 20.99/5.43 | (858) e4 = e1
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 858 yields:
% 20.99/5.43 | (484) e4 = e1
% 20.99/5.43 |
% 20.99/5.43 | Equations (484) can reduce 114 to:
% 20.99/5.43 | (301) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (868) all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)
% 20.99/5.43 |
% 20.99/5.43 | Applying alpha-rule on (868) yields:
% 20.99/5.43 | (869) all_0_6_6 = e4
% 20.99/5.43 | (870) ~ (all_0_5_5 = e0)
% 20.99/5.43 | (871) ~ (all_0_41_41 = all_0_54_54)
% 20.99/5.43 |
% 20.99/5.43 | Equations (802) can reduce 870 to:
% 20.99/5.43 | (301) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (873) all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)
% 20.99/5.43 |
% 20.99/5.43 | Applying alpha-rule on (873) yields:
% 20.99/5.43 | (874) all_0_8_8 = e3
% 20.99/5.43 | (875) ~ (all_0_7_7 = e4)
% 20.99/5.43 | (857) ~ (all_0_39_39 = all_0_42_42)
% 20.99/5.43 |
% 20.99/5.43 | Combining equations (874,824) yields a new equation:
% 20.99/5.43 | (414) e3 = e0
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 414 yields:
% 20.99/5.43 | (415) e3 = e0
% 20.99/5.43 |
% 20.99/5.43 | Equations (415) can reduce 81 to:
% 20.99/5.43 | (301) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (880) all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)
% 20.99/5.43 |
% 20.99/5.43 | Applying alpha-rule on (880) yields:
% 20.99/5.43 | (881) all_0_11_11 = e3
% 20.99/5.43 | (882) ~ (all_0_10_10 = e2)
% 20.99/5.43 | (883) ~ (all_0_44_44 = all_0_47_47)
% 20.99/5.43 |
% 20.99/5.43 | Combining equations (881,2998) yields a new equation:
% 20.99/5.43 | (414) e3 = e0
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 414 yields:
% 20.99/5.43 | (415) e3 = e0
% 20.99/5.43 |
% 20.99/5.43 | Equations (415) can reduce 81 to:
% 20.99/5.43 | (301) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (886) all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)
% 20.99/5.43 |
% 20.99/5.43 | Applying alpha-rule on (886) yields:
% 20.99/5.43 | (887) all_0_13_13 = e3
% 20.99/5.43 | (888) ~ (all_0_12_12 = e1)
% 20.99/5.43 | (889) ~ (all_0_45_45 = all_0_52_52)
% 20.99/5.43 |
% 20.99/5.43 | Combining equations (887,819) yields a new equation:
% 20.99/5.43 | (414) e3 = e0
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 414 yields:
% 20.99/5.43 | (415) e3 = e0
% 20.99/5.43 |
% 20.99/5.43 | Equations (415) can reduce 81 to:
% 20.99/5.43 | (301) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (893) all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)
% 20.99/5.43 |
% 20.99/5.43 | Applying alpha-rule on (893) yields:
% 20.99/5.43 | (894) all_0_15_15 = e3
% 20.99/5.43 | (895) ~ (all_0_14_14 = e0)
% 20.99/5.43 | (896) ~ (all_0_46_46 = all_0_55_55)
% 20.99/5.43 |
% 20.99/5.43 | Equations (570,1031) can reduce 896 to:
% 20.99/5.43 | (301) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (900) all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)
% 20.99/5.43 |
% 20.99/5.43 | Applying alpha-rule on (900) yields:
% 20.99/5.43 | (901) all_0_17_17 = e2
% 20.99/5.43 | (902) ~ (all_0_16_16 = e3)
% 20.99/5.43 | (883) ~ (all_0_44_44 = all_0_47_47)
% 20.99/5.43 |
% 20.99/5.43 | Combining equations (901,827) yields a new equation:
% 20.99/5.43 | (504) e4 = e2
% 20.99/5.43 |
% 20.99/5.43 | Equations (504) can reduce 42 to:
% 20.99/5.43 | (301) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (906) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)
% 20.99/5.43 |
% 20.99/5.43 | Applying alpha-rule on (906) yields:
% 20.99/5.43 | (907) all_0_20_20 = e2
% 20.99/5.43 | (908) ~ (all_0_19_19 = e1)
% 20.99/5.43 | (909) ~ (all_0_49_49 = all_0_53_53)
% 20.99/5.43 |
% 20.99/5.43 | Combining equations (907,808) yields a new equation:
% 20.99/5.43 | (573) e3 = e2
% 20.99/5.43 |
% 20.99/5.43 | Equations (573) can reduce 231 to:
% 20.99/5.43 | (301) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (912) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)
% 20.99/5.43 |
% 20.99/5.43 | Applying alpha-rule on (912) yields:
% 20.99/5.43 | (913) all_0_22_22 = e2
% 20.99/5.43 | (914) ~ (all_0_21_21 = e0)
% 20.99/5.43 | (915) ~ (all_0_50_50 = all_0_56_56)
% 20.99/5.43 |
% 20.99/5.43 | Equations (2824) can reduce 914 to:
% 20.99/5.43 | (301) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (918) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)
% 20.99/5.43 |
% 20.99/5.43 | Applying alpha-rule on (918) yields:
% 20.99/5.43 | (919) all_0_24_24 = e1
% 20.99/5.43 | (920) ~ (all_0_23_23 = e4)
% 20.99/5.43 | (864) ~ (all_0_40_40 = all_0_51_51)
% 20.99/5.43 |
% 20.99/5.43 | Combining equations (919,290) yields a new equation:
% 20.99/5.43 | (708) e3 = e1
% 20.99/5.43 |
% 20.99/5.43 | Equations (708) can reduce 234 to:
% 20.99/5.43 | (301) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (924) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)
% 20.99/5.43 |
% 20.99/5.43 | Applying alpha-rule on (924) yields:
% 20.99/5.43 | (925) all_0_26_26 = e1
% 20.99/5.43 | (926) ~ (all_0_25_25 = e3)
% 20.99/5.43 | (889) ~ (all_0_45_45 = all_0_52_52)
% 20.99/5.43 |
% 20.99/5.43 | Combining equations (925,826) yields a new equation:
% 20.99/5.43 | (928) e2 = e1
% 20.99/5.43 |
% 20.99/5.43 | Equations (928) can reduce 122 to:
% 20.99/5.43 | (301) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (930) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)
% 20.99/5.43 |
% 20.99/5.43 | Applying alpha-rule on (930) yields:
% 20.99/5.43 | (931) all_0_28_28 = e1
% 20.99/5.43 | (932) ~ (all_0_27_27 = e2)
% 20.99/5.43 | (909) ~ (all_0_49_49 = all_0_53_53)
% 20.99/5.43 |
% 20.99/5.43 | Combining equations (931,3116) yields a new equation:
% 20.99/5.43 | (928) e2 = e1
% 20.99/5.43 |
% 20.99/5.43 | Equations (928) can reduce 122 to:
% 20.99/5.43 | (301) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (937) all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)
% 20.99/5.43 |
% 20.99/5.43 | Applying alpha-rule on (937) yields:
% 20.99/5.43 | (938) all_0_30_30 = e0
% 20.99/5.43 | (939) ~ (all_0_29_29 = e4)
% 20.99/5.43 | (871) ~ (all_0_41_41 = all_0_54_54)
% 20.99/5.43 |
% 20.99/5.43 | Combining equations (816,938) yields a new equation:
% 20.99/5.43 | (352) e2 = e0
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 352 yields:
% 20.99/5.43 | (345) e2 = e0
% 20.99/5.43 |
% 20.99/5.43 | Equations (345) can reduce 133 to:
% 20.99/5.43 | (301) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (944) all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)
% 20.99/5.43 |
% 20.99/5.43 | Applying alpha-rule on (944) yields:
% 20.99/5.43 | (945) all_0_32_32 = e0
% 20.99/5.43 | (946) ~ (all_0_31_31 = e3)
% 20.99/5.43 | (896) ~ (all_0_46_46 = all_0_55_55)
% 20.99/5.43 |
% 20.99/5.43 | Equations (570,1031) can reduce 896 to:
% 20.99/5.43 | (301) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (949) all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)
% 20.99/5.43 |
% 20.99/5.43 | Applying alpha-rule on (949) yields:
% 20.99/5.43 | (950) all_0_34_34 = e0
% 20.99/5.44 | (951) ~ (all_0_33_33 = e2)
% 20.99/5.44 | (915) ~ (all_0_50_50 = all_0_56_56)
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (829,950) yields a new equation:
% 20.99/5.44 | (934) e1 = e0
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 934 yields:
% 20.99/5.44 | (935) e1 = e0
% 20.99/5.44 |
% 20.99/5.44 | Equations (935) can reduce 247 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (956) all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)
% 20.99/5.44 |
% 20.99/5.44 | Applying alpha-rule on (956) yields:
% 20.99/5.44 | (957) all_0_36_36 = e0
% 20.99/5.44 | (958) ~ (all_0_35_35 = e1)
% 20.99/5.44 | (726) ~ (all_0_57_57 = e1)
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (813,957) yields a new equation:
% 20.99/5.44 | (316) e4 = e0
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 316 yields:
% 20.99/5.44 | (317) e4 = e0
% 20.99/5.44 |
% 20.99/5.44 | Equations (317) can reduce 43 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (963) all_0_42_42 = e2 & ~ (all_0_44_44 = e4)
% 20.99/5.44 |
% 20.99/5.44 | Applying alpha-rule on (963) yields:
% 20.99/5.44 | (737) all_0_42_42 = e2
% 20.99/5.44 | (407) ~ (all_0_44_44 = e4)
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (794,737) yields a new equation:
% 20.99/5.44 | (553) e4 = e2
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 553 yields:
% 20.99/5.44 | (504) e4 = e2
% 20.99/5.44 |
% 20.99/5.44 | Equations (504) can reduce 42 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (969) all_0_53_53 = e4 & ~ (all_0_51_51 = e2)
% 20.99/5.44 |
% 20.99/5.44 | Applying alpha-rule on (969) yields:
% 20.99/5.44 | (409) all_0_53_53 = e4
% 20.99/5.44 | (971) ~ (all_0_51_51 = e2)
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (419,409) yields a new equation:
% 20.99/5.44 | (420) e4 = e3
% 20.99/5.44 |
% 20.99/5.44 | Equations (420) can reduce 199 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (261) ~ (all_0_44_44 = e2)
% 20.99/5.44 | (3570) all_0_48_48 = e2 | all_0_53_53 = e2 | all_0_56_56 = e2
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (239), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (747) all_0_44_44 = e2
% 20.99/5.44 |
% 20.99/5.44 | Equations (747) can reduce 261 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (261) ~ (all_0_44_44 = e2)
% 20.99/5.44 | (1634) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e0
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (160), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (752) all_0_45_45 = e2
% 20.99/5.44 |
% 20.99/5.44 | Equations (752) can reduce 730 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (730) ~ (all_0_45_45 = e2)
% 20.99/5.44 | (2552) all_0_45_45 = e4 | all_0_45_45 = e3 | all_0_45_45 = e1
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (1997), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (706) all_0_43_43 = e1
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (513,706) yields a new equation:
% 20.99/5.44 | (935) e1 = e0
% 20.99/5.44 |
% 20.99/5.44 | Equations (935) can reduce 247 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (710) ~ (all_0_43_43 = e1)
% 20.99/5.44 | (784) all_0_45_45 = e1
% 20.99/5.44 |
% 20.99/5.44 | Equations (784) can reduce 730 to:
% 20.99/5.44 | (788) ~ (e2 = e1)
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 788 yields:
% 20.99/5.44 | (122) ~ (e2 = e1)
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (66), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (737) all_0_42_42 = e2
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (737,794) yields a new equation:
% 20.99/5.44 | (504) e4 = e2
% 20.99/5.44 |
% 20.99/5.44 | Equations (504) can reduce 42 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (277) ~ (all_0_42_42 = e2)
% 20.99/5.44 | (740) all_0_43_43 = e2 | all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (3570), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (260) all_0_48_48 = e2
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (351,260) yields a new equation:
% 20.99/5.44 | (345) e2 = e0
% 20.99/5.44 |
% 20.99/5.44 | Equations (345) can reduce 133 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (2801) ~ (all_0_48_48 = e2)
% 20.99/5.44 | (3648) all_0_53_53 = e2 | all_0_56_56 = e2
% 20.99/5.44 |
% 20.99/5.44 | Equations (351) can reduce 2801 to:
% 20.99/5.44 | (313) ~ (e2 = e0)
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 313 yields:
% 20.99/5.44 | (133) ~ (e2 = e0)
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (740), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (439) all_0_43_43 = e2
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (513,439) yields a new equation:
% 20.99/5.44 | (345) e2 = e0
% 20.99/5.44 |
% 20.99/5.44 | Equations (345) can reduce 133 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (275) ~ (all_0_43_43 = e2)
% 20.99/5.44 | (746) all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (746), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (747) all_0_44_44 = e2
% 20.99/5.44 |
% 20.99/5.44 | Equations (747) can reduce 261 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (261) ~ (all_0_44_44 = e2)
% 20.99/5.44 | (751) all_0_45_45 = e2 | all_0_46_46 = e2
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (751), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (752) all_0_45_45 = e2
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (784,752) yields a new equation:
% 20.99/5.44 | (928) e2 = e1
% 20.99/5.44 |
% 20.99/5.44 | Equations (928) can reduce 122 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (730) ~ (all_0_45_45 = e2)
% 20.99/5.44 | (571) all_0_46_46 = e2
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (570,571) yields a new equation:
% 20.99/5.44 | (572) e3 = e2
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 572 yields:
% 20.99/5.44 | (573) e3 = e2
% 20.99/5.44 |
% 20.99/5.44 | Equations (573) can reduce 231 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (452) ~ (all_0_57_57 = e2)
% 20.99/5.44 | (461) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e1
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (461), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (469) all_0_57_57 = e4
% 20.99/5.44 |
% 20.99/5.44 | Equations (469) can reduce 377 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (377) ~ (all_0_57_57 = e4)
% 20.99/5.44 | (472) all_0_57_57 = e3 | all_0_57_57 = e1
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (472), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (473) all_0_57_57 = e3
% 20.99/5.44 |
% 20.99/5.44 | Equations (473) can reduce 425 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (425) ~ (all_0_57_57 = e3)
% 20.99/5.44 | (476) all_0_57_57 = e1
% 20.99/5.44 |
% 20.99/5.44 | Equations (476) can reduce 726 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (974) ~ (all_0_42_42 = e4)
% 20.99/5.44 | (3996) all_0_44_44 = e4 | all_0_45_45 = e4 | all_0_46_46 = e4
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (19), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (458) all_0_57_57 = e2
% 20.99/5.44 |
% 20.99/5.44 | Equations (458) can reduce 377 to:
% 20.99/5.44 | (271) ~ (e4 = e2)
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 271 yields:
% 20.99/5.44 | (42) ~ (e4 = e2)
% 20.99/5.44 |
% 20.99/5.44 | Equations (458) can reduce 425 to:
% 20.99/5.44 | (284) ~ (e3 = e2)
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 284 yields:
% 20.99/5.44 | (231) ~ (e3 = e2)
% 20.99/5.44 |
% 20.99/5.44 | Equations (458) can reduce 189 to:
% 20.99/5.44 | (133) ~ (e2 = e0)
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (121), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (747) all_0_44_44 = e2
% 20.99/5.44 |
% 20.99/5.44 | Equations (747) can reduce 84 to:
% 20.99/5.44 | (277) ~ (all_0_42_42 = e2)
% 20.99/5.44 |
% 20.99/5.44 | Equations (747) can reduce 407 to:
% 20.99/5.44 | (271) ~ (e4 = e2)
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 271 yields:
% 20.99/5.44 | (42) ~ (e4 = e2)
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (227), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (737) all_0_42_42 = e2
% 20.99/5.44 |
% 20.99/5.44 | Equations (737) can reduce 277 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (277) ~ (all_0_42_42 = e2)
% 20.99/5.44 | (783) all_0_42_42 = e4 | all_0_42_42 = e1 | all_0_42_42 = e0
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (783), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (794) all_0_42_42 = e4
% 20.99/5.44 |
% 20.99/5.44 | Equations (794) can reduce 974 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (974) ~ (all_0_42_42 = e4)
% 20.99/5.44 | (975) all_0_42_42 = e1 | all_0_42_42 = e0
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (1618), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (794) all_0_42_42 = e4
% 20.99/5.44 |
% 20.99/5.44 | Equations (794) can reduce 974 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (974) ~ (all_0_42_42 = e4)
% 20.99/5.44 | (6039) all_0_51_51 = e4 | all_0_54_54 = e4
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (6039), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (654) all_0_51_51 = e4
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (654,276) yields a new equation:
% 20.99/5.44 | (553) e4 = e2
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 553 yields:
% 20.99/5.44 | (504) e4 = e2
% 20.99/5.44 |
% 20.99/5.44 | Equations (504) can reduce 42 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (657) ~ (all_0_51_51 = e4)
% 20.99/5.44 | (717) all_0_54_54 = e4
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (724,717) yields a new equation:
% 20.99/5.44 | (484) e4 = e1
% 20.99/5.44 |
% 20.99/5.44 | Equations (484) can reduce 114 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (261) ~ (all_0_44_44 = e2)
% 20.99/5.44 | (3570) all_0_48_48 = e2 | all_0_53_53 = e2 | all_0_56_56 = e2
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (3570), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (260) all_0_48_48 = e2
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (351,260) yields a new equation:
% 20.99/5.44 | (345) e2 = e0
% 20.99/5.44 |
% 20.99/5.44 | Equations (345) can reduce 133 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (2801) ~ (all_0_48_48 = e2)
% 20.99/5.44 | (3648) all_0_53_53 = e2 | all_0_56_56 = e2
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (3648), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (1254) all_0_53_53 = e2
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (1254,419) yields a new equation:
% 20.99/5.44 | (573) e3 = e2
% 20.99/5.44 |
% 20.99/5.44 | Equations (573) can reduce 231 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (268) ~ (all_0_53_53 = e2)
% 20.99/5.44 | (637) all_0_56_56 = e2
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (523,637) yields a new equation:
% 20.99/5.44 | (553) e4 = e2
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 553 yields:
% 20.99/5.44 | (504) e4 = e2
% 20.99/5.44 |
% 20.99/5.44 | Equations (504) can reduce 42 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (452) ~ (all_0_57_57 = e2)
% 20.99/5.44 | (461) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e1
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (461), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (469) all_0_57_57 = e4
% 20.99/5.44 |
% 20.99/5.44 | Equations (469) can reduce 377 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (377) ~ (all_0_57_57 = e4)
% 20.99/5.44 | (472) all_0_57_57 = e3 | all_0_57_57 = e1
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (472), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (473) all_0_57_57 = e3
% 20.99/5.44 |
% 20.99/5.44 | Equations (473) can reduce 425 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (425) ~ (all_0_57_57 = e3)
% 20.99/5.44 | (476) all_0_57_57 = e1
% 20.99/5.44 |
% 20.99/5.44 | Equations (476) can reduce 726 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (376) ~ (all_0_56_56 = e4)
% 20.99/5.44 | (1880) all_0_57_57 = e4 | all_0_58_58 = e4
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (1880), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (469) all_0_57_57 = e4
% 20.99/5.44 |
% 20.99/5.44 | Equations (469) can reduce 377 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (377) ~ (all_0_57_57 = e4)
% 20.99/5.44 | (304) all_0_58_58 = e4
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (304,308) yields a new equation:
% 20.99/5.44 | (316) e4 = e0
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 316 yields:
% 20.99/5.44 | (317) e4 = e0
% 20.99/5.44 |
% 20.99/5.44 | Equations (317) can reduce 43 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (1935) ~ (all_0_55_55 = e3)
% 20.99/5.44 | (1936) all_0_56_56 = e3 | all_0_57_57 = e3 | all_0_58_58 = e3
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (123), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (694) all_0_39_39 = e3
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (344,694) yields a new equation:
% 20.99/5.44 | (573) e3 = e2
% 20.99/5.44 |
% 20.99/5.44 | Equations (573) can reduce 231 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (698) ~ (all_0_39_39 = e3)
% 20.99/5.44 | (699) all_0_43_43 = e3 | all_0_52_52 = e3 | all_0_55_55 = e3
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (699), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (700) all_0_43_43 = e3
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (513,700) yields a new equation:
% 20.99/5.44 | (415) e3 = e0
% 20.99/5.44 |
% 20.99/5.44 | Equations (415) can reduce 81 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (1024) ~ (all_0_43_43 = e3)
% 20.99/5.44 | (1025) all_0_52_52 = e3 | all_0_55_55 = e3
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (1025), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (455) all_0_52_52 = e3
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (499,455) yields a new equation:
% 20.99/5.44 | (508) e4 = e3
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 508 yields:
% 20.99/5.44 | (420) e4 = e3
% 20.99/5.44 |
% 20.99/5.44 | Equations (420) can reduce 199 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (506) ~ (all_0_52_52 = e3)
% 20.99/5.44 | (1031) all_0_55_55 = e3
% 20.99/5.44 |
% 20.99/5.44 | Equations (1031) can reduce 1935 to:
% 20.99/5.44 | (301) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (347) ~ (all_0_39_39 = e2)
% 20.99/5.45 | (1211) all_0_40_40 = e2 | all_0_41_41 = e2
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (3733), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (465) all_0_40_40 = e4
% 20.99/5.45 |
% 20.99/5.45 | Equations (465) can reduce 298 to:
% 20.99/5.45 | (301) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (298) ~ (all_0_40_40 = e4)
% 20.99/5.45 | (768) all_0_40_40 = e3
% 20.99/5.45 |
% 20.99/5.45 | Equations (768) can reduce 729 to:
% 20.99/5.45 | (231) ~ (e3 = e2)
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (1211), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (1380) all_0_40_40 = e2
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (768,1380) yields a new equation:
% 20.99/5.45 | (572) e3 = e2
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 572 yields:
% 20.99/5.45 | (573) e3 = e2
% 20.99/5.45 |
% 20.99/5.45 | Equations (573) can reduce 231 to:
% 20.99/5.45 | (301) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (729) ~ (all_0_40_40 = e2)
% 20.99/5.45 | (552) all_0_41_41 = e2
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (545,552) yields a new equation:
% 20.99/5.45 | (553) e4 = e2
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 553 yields:
% 20.99/5.45 | (504) e4 = e2
% 20.99/5.45 |
% 20.99/5.45 | Equations (504) can reduce 42 to:
% 20.99/5.45 | (301) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (486) ~ (all_0_47_47 = e1)
% 20.99/5.45 | (487) all_0_49_49 = e1
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (491,487) yields a new equation:
% 20.99/5.45 | (858) e4 = e1
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 858 yields:
% 20.99/5.45 | (484) e4 = e1
% 20.99/5.45 |
% 20.99/5.45 | Equations (484) can reduce 114 to:
% 20.99/5.45 | (301) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (464) ~ (all_0_49_49 = e4)
% 20.99/5.45 | (335) all_0_50_50 = e4
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (331,335) yields a new equation:
% 20.99/5.45 | (504) e4 = e2
% 20.99/5.45 |
% 20.99/5.45 | Equations (504) can reduce 42 to:
% 20.99/5.45 | (301) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (410) ~ (all_0_52_52 = e4)
% 20.99/5.45 | (455) all_0_52_52 = e3
% 20.99/5.45 |
% 20.99/5.45 | Equations (455) can reduce 506 to:
% 20.99/5.45 | (301) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (384) ~ (all_0_43_43 = e0)
% 20.99/5.45 | (516) all_0_47_47 = e0 | all_0_55_55 = e0
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (516), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (321) all_0_47_47 = e0
% 20.99/5.45 |
% 20.99/5.45 | Equations (321) can reduce 328 to:
% 20.99/5.45 | (301) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (328) ~ (all_0_47_47 = e0)
% 20.99/5.45 | (520) all_0_55_55 = e0
% 20.99/5.45 |
% 20.99/5.45 | Equations (520) can reduce 372 to:
% 20.99/5.45 | (301) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (365) ~ (all_0_58_58 = e0)
% 20.99/5.45 | (366) all_0_58_58 = e3
% 20.99/5.45 |
% 20.99/5.45 | Equations (366) can reduce 293 to:
% 20.99/5.45 | (301) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (583) ~ (all_0_46_46 = e3)
% 20.99/5.45 | (366) all_0_58_58 = e3
% 20.99/5.45 |
% 20.99/5.45 | Equations (366) can reduce 293 to:
% 20.99/5.45 | (301) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (366) all_0_58_58 = e3
% 20.99/5.45 | (520) all_0_55_55 = e0
% 20.99/5.45 |
% 20.99/5.45 | Equations (366) can reduce 224 to:
% 20.99/5.45 | (568) ~ (all_0_41_41 = e3)
% 20.99/5.45 |
% 20.99/5.45 | Equations (520) can reduce 16 to:
% 20.99/5.45 | (384) ~ (all_0_43_43 = e0)
% 20.99/5.45 |
% 20.99/5.45 | Equations (520) can reduce 153 to:
% 20.99/5.45 | (328) ~ (all_0_47_47 = e0)
% 20.99/5.45 |
% 20.99/5.45 | Equations (366) can reduce 156 to:
% 20.99/5.45 | (206) ~ (all_0_54_54 = e3)
% 20.99/5.45 |
% 20.99/5.45 | Equations (520) can reduce 194 to:
% 20.99/5.45 | (373) ~ (all_0_56_56 = e0)
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 373 yields:
% 20.99/5.45 | (374) ~ (all_0_56_56 = e0)
% 20.99/5.45 |
% 20.99/5.45 | Equations (520) can reduce 20 to:
% 20.99/5.45 | (594) ~ (all_0_57_57 = e0)
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 594 yields:
% 20.99/5.45 | (189) ~ (all_0_57_57 = e0)
% 20.99/5.45 |
% 20.99/5.45 | Equations (366) can reduce 274 to:
% 20.99/5.45 | (231) ~ (e3 = e2)
% 20.99/5.45 |
% 20.99/5.45 | From (520) and (188) follows:
% 20.99/5.45 | (598) op(e0, e0) = all_0_31_31
% 20.99/5.45 |
% 20.99/5.45 | From (366) and (225) follows:
% 20.99/5.45 | (599) op(e0, e0) = e3
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (102), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (344) all_0_39_39 = e2
% 20.99/5.45 |
% 20.99/5.45 | Equations (344) can reduce 3 to:
% 20.99/5.45 | (226) ~ (all_0_38_38 = e2)
% 20.99/5.45 |
% 20.99/5.45 | Equations (344) can reduce 11 to:
% 20.99/5.45 | (2060) ~ (all_0_41_41 = e2)
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 2060 yields:
% 20.99/5.45 | (556) ~ (all_0_41_41 = e2)
% 20.99/5.45 |
% 20.99/5.45 | Equations (344) can reduce 155 to:
% 20.99/5.45 | (667) ~ (all_0_43_43 = e2)
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 667 yields:
% 20.99/5.45 | (275) ~ (all_0_43_43 = e2)
% 20.99/5.45 |
% 20.99/5.45 | From (344) and (112) follows:
% 20.99/5.45 | (670) op(e2, e3) = all_0_2_2
% 20.99/5.45 |
% 20.99/5.45 | From (344) and (154) follows:
% 20.99/5.45 | (671) op(e4, e3) = e2
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (138), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (694) all_0_39_39 = e3
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (344,694) yields a new equation:
% 20.99/5.45 | (573) e3 = e2
% 20.99/5.45 |
% 20.99/5.45 | Equations (573) can reduce 231 to:
% 20.99/5.45 | (301) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (698) ~ (all_0_39_39 = e3)
% 20.99/5.45 | (1001) all_0_40_40 = e3 | all_0_41_41 = e3
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (1001), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (768) all_0_40_40 = e3
% 20.99/5.45 |
% 20.99/5.45 | Equations (768) can reduce 187 to:
% 20.99/5.45 | (7) ~ (all_0_38_38 = e3)
% 20.99/5.45 |
% 20.99/5.45 | Equations (768) can reduce 111 to:
% 20.99/5.45 | (6547) ~ (all_0_41_41 = e3)
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 6547 yields:
% 20.99/5.45 | (568) ~ (all_0_41_41 = e3)
% 20.99/5.45 |
% 20.99/5.45 | Equations (768) can reduce 108 to:
% 20.99/5.45 | (769) ~ (all_0_45_45 = e3)
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 769 yields:
% 20.99/5.45 | (770) ~ (all_0_45_45 = e3)
% 20.99/5.45 |
% 20.99/5.45 | Equations (768) can reduce 15 to:
% 20.99/5.45 | (424) ~ (all_0_57_57 = e3)
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 424 yields:
% 20.99/5.45 | (425) ~ (all_0_57_57 = e3)
% 20.99/5.45 |
% 20.99/5.45 | From (768) and (252) follows:
% 20.99/5.45 | (773) op(e3, e1) = all_0_4_4
% 20.99/5.45 |
% 20.99/5.45 | From (768) and (117) follows:
% 20.99/5.45 | (774) op(e4, e1) = e3
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (136), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (710) ~ (all_0_43_43 = e1)
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (204), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (439) all_0_43_43 = e2
% 20.99/5.45 |
% 20.99/5.45 | Equations (439) can reduce 275 to:
% 20.99/5.45 | (301) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (275) ~ (all_0_43_43 = e2)
% 20.99/5.45 | (1227) all_0_43_43 = e3 | all_0_43_43 = e1 | all_0_43_43 = e0
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (220), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (706) all_0_43_43 = e1
% 20.99/5.45 |
% 20.99/5.45 | Equations (706) can reduce 710 to:
% 20.99/5.45 | (301) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (710) ~ (all_0_43_43 = e1)
% 20.99/5.45 | (711) all_0_47_47 = e1 | all_0_55_55 = e1
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (1227), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (513) all_0_43_43 = e0
% 20.99/5.45 |
% 20.99/5.45 | Equations (513) can reduce 384 to:
% 20.99/5.45 | (301) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (384) ~ (all_0_43_43 = e0)
% 20.99/5.45 | (1231) all_0_43_43 = e3 | all_0_43_43 = e1
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (711), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (483) all_0_47_47 = e1
% 20.99/5.45 |
% 20.99/5.45 | Equations (483) can reduce 10 to:
% 20.99/5.45 | (710) ~ (all_0_43_43 = e1)
% 20.99/5.45 |
% 20.99/5.45 | Equations (483) can reduce 93 to:
% 20.99/5.45 | (713) ~ (all_0_49_49 = e1)
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 713 yields:
% 20.99/5.45 | (478) ~ (all_0_49_49 = e1)
% 20.99/5.45 |
% 20.99/5.45 | Equations (483) can reduce 328 to:
% 20.99/5.45 | (247) ~ (e1 = e0)
% 20.99/5.45 |
% 20.99/5.45 | From (483) and (142) follows:
% 20.99/5.45 | (715) op(e1, e3) = all_0_17_17
% 20.99/5.45 |
% 20.99/5.45 | From (483) and (62) follows:
% 20.99/5.45 | (716) op(e2, e3) = e1
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (219), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (764) all_0_49_49 = e2
% 20.99/5.45 |
% 20.99/5.45 | Equations (764) can reduce 264 to:
% 20.99/5.45 | (301) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (264) ~ (all_0_49_49 = e2)
% 20.99/5.45 | (767) all_0_49_49 = e4 | all_0_49_49 = e1
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (767), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (491) all_0_49_49 = e4
% 20.99/5.45 |
% 20.99/5.45 | Equations (491) can reduce 23 to:
% 20.99/5.45 | (489) ~ (all_0_45_45 = e4)
% 20.99/5.45 |
% 20.99/5.45 | Equations (491) can reduce 264 to:
% 20.99/5.45 | (42) ~ (e4 = e2)
% 20.99/5.45 |
% 20.99/5.45 | Equations (491) can reduce 478 to:
% 20.99/5.45 | (114) ~ (e4 = e1)
% 20.99/5.45 |
% 20.99/5.45 | Equations (491) can reduce 241 to:
% 20.99/5.45 | (43) ~ (e4 = e0)
% 20.99/5.45 |
% 20.99/5.45 | From (491) and (127) follows:
% 20.99/5.45 | (777) op(e4, e2) = all_0_19_19
% 20.99/5.45 |
% 20.99/5.45 | From (491) and (162) follows:
% 20.99/5.45 | (778) op(e4, e1) = all_0_20_20
% 20.99/5.45 |
% 20.99/5.45 | From (491) and (193) follows:
% 20.99/5.45 | (779) op(e2, e1) = e4
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (1231), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (700) all_0_43_43 = e3
% 20.99/5.45 |
% 20.99/5.45 | Equations (700) can reduce 8 to:
% 20.99/5.45 | (68) ~ (all_0_42_42 = e3)
% 20.99/5.45 |
% 20.99/5.45 | Equations (700) can reduce 72 to:
% 20.99/5.45 | (769) ~ (all_0_45_45 = e3)
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 769 yields:
% 20.99/5.45 | (770) ~ (all_0_45_45 = e3)
% 20.99/5.45 |
% 20.99/5.45 | Equations (700) can reduce 174 to:
% 20.99/5.45 | (702) ~ (all_0_46_46 = e3)
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 702 yields:
% 20.99/5.45 | (583) ~ (all_0_46_46 = e3)
% 20.99/5.45 |
% 20.99/5.45 | Equations (700) can reduce 240 to:
% 20.99/5.45 | (3066) ~ (all_0_52_52 = e3)
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 3066 yields:
% 20.99/5.45 | (506) ~ (all_0_52_52 = e3)
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (201), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (455) all_0_52_52 = e3
% 20.99/5.45 |
% 20.99/5.45 | Equations (455) can reduce 506 to:
% 20.99/5.45 | (301) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (506) ~ (all_0_52_52 = e3)
% 20.99/5.45 | (419) all_0_53_53 = e3
% 20.99/5.45 |
% 20.99/5.45 | Equations (419) can reduce 109 to:
% 20.99/5.45 | (417) ~ (all_0_44_44 = e3)
% 20.99/5.45 |
% 20.99/5.45 | Equations (419) can reduce 192 to:
% 20.99/5.45 | (3917) ~ (all_0_56_56 = e3)
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 3917 yields:
% 20.99/5.45 | (596) ~ (all_0_56_56 = e3)
% 20.99/5.45 |
% 20.99/5.45 | Equations (419) can reduce 268 to:
% 20.99/5.45 | (231) ~ (e3 = e2)
% 20.99/5.45 |
% 20.99/5.45 | Equations (419) can reduce 22 to:
% 20.99/5.45 | (81) ~ (e3 = e0)
% 20.99/5.45 |
% 20.99/5.45 | From (419) and (118) follows:
% 20.99/5.45 | (675) op(e3, e2) = all_0_28_28
% 20.99/5.45 |
% 20.99/5.45 | From (419) and (90) follows:
% 20.99/5.45 | (1672) op(e3, e1) = all_0_27_27
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (83), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (428) all_0_39_39 = e4
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (344,428) yields a new equation:
% 20.99/5.45 | (504) e4 = e2
% 20.99/5.45 |
% 20.99/5.45 | Equations (504) can reduce 42 to:
% 20.99/5.45 | (301) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (296) ~ (all_0_39_39 = e4)
% 20.99/5.45 | (431) all_0_47_47 = e4 | all_0_52_52 = e4 | all_0_55_55 = e4
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (431), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (462) all_0_47_47 = e4
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (483,462) yields a new equation:
% 20.99/5.45 | (484) e4 = e1
% 20.99/5.45 |
% 20.99/5.45 | Equations (484) can reduce 114 to:
% 20.99/5.45 | (301) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (497) ~ (all_0_47_47 = e4)
% 20.99/5.45 | (498) all_0_52_52 = e4 | all_0_55_55 = e4
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (498), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (499) all_0_52_52 = e4
% 20.99/5.45 |
% 20.99/5.45 | From (499) and (218) follows:
% 20.99/5.45 | (662) op(e4, e3) = all_0_26_26
% 20.99/5.45 |
% 20.99/5.45 | From (499) and (236) follows:
% 20.99/5.45 | (663) op(e4, e1) = all_0_25_25
% 20.99/5.45 |
% 20.99/5.45 | From (499) and (107) follows:
% 20.99/5.45 | (664) op(e1, e3) = e4
% 20.99/5.45 |
% 20.99/5.45 | Instantiating formula (151) with e4, e3, e2, all_0_26_26 and discharging atoms op(e4, e3) = all_0_26_26, op(e4, e3) = e2, yields:
% 20.99/5.45 | (826) all_0_26_26 = e2
% 20.99/5.45 |
% 20.99/5.45 | Instantiating formula (151) with e4, e2, all_0_19_19, e1 and discharging atoms op(e4, e2) = all_0_19_19, op(e4, e2) = e1, yields:
% 20.99/5.45 | (805) all_0_19_19 = e1
% 20.99/5.45 |
% 20.99/5.45 | Instantiating formula (151) with e4, e1, all_0_25_25, all_0_20_20 and discharging atoms op(e4, e1) = all_0_20_20, op(e4, e1) = all_0_25_25, yields:
% 20.99/5.45 | (807) all_0_20_20 = all_0_25_25
% 20.99/5.45 |
% 20.99/5.45 | Instantiating formula (151) with e4, e1, e3, all_0_20_20 and discharging atoms op(e4, e1) = all_0_20_20, op(e4, e1) = e3, yields:
% 20.99/5.45 | (808) all_0_20_20 = e3
% 20.99/5.45 |
% 20.99/5.45 | Instantiating formula (151) with e3, e2, all_0_28_28, all_0_44_44 and discharging atoms op(e3, e2) = all_0_28_28, op(e3, e2) = all_0_44_44, yields:
% 20.99/5.45 | (5464) all_0_28_28 = all_0_44_44
% 20.99/5.45 |
% 20.99/5.45 | Instantiating formula (151) with e3, e1, all_0_4_4, all_0_45_45 and discharging atoms op(e3, e1) = all_0_4_4, op(e3, e1) = all_0_45_45, yields:
% 20.99/5.45 | (5007) all_0_4_4 = all_0_45_45
% 20.99/5.45 |
% 20.99/5.45 | Instantiating formula (151) with e3, e1, all_0_27_27, all_0_4_4 and discharging atoms op(e3, e1) = all_0_4_4, op(e3, e1) = all_0_27_27, yields:
% 20.99/5.45 | (1725) all_0_4_4 = all_0_27_27
% 20.99/5.45 |
% 20.99/5.45 | Instantiating formula (151) with e2, e3, e1, all_0_2_2 and discharging atoms op(e2, e3) = all_0_2_2, op(e2, e3) = e1, yields:
% 20.99/5.45 | (812) all_0_2_2 = e1
% 20.99/5.45 |
% 20.99/5.45 | Instantiating formula (151) with e1, e3, e4, all_0_17_17 and discharging atoms op(e1, e3) = all_0_17_17, op(e1, e3) = e4, yields:
% 20.99/5.45 | (827) all_0_17_17 = e4
% 20.99/5.45 |
% 20.99/5.45 | Instantiating formula (151) with e0, e0, e3, all_0_31_31 and discharging atoms op(e0, e0) = all_0_31_31, op(e0, e0) = e3, yields:
% 20.99/5.45 | (831) all_0_31_31 = e3
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (5007,1725) yields a new equation:
% 20.99/5.45 | (5465) all_0_27_27 = all_0_45_45
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (808,807) yields a new equation:
% 20.99/5.45 | (830) all_0_25_25 = e3
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (830,807) yields a new equation:
% 20.99/5.45 | (808) all_0_20_20 = e3
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (5465,1725) yields a new equation:
% 20.99/5.46 | (5007) all_0_4_4 = all_0_45_45
% 20.99/5.46 |
% 20.99/5.46 | From (805) and (777) follows:
% 20.99/5.46 | (166) op(e4, e2) = e1
% 20.99/5.46 |
% 20.99/5.46 | From (831) and (598) follows:
% 20.99/5.46 | (599) op(e0, e0) = e3
% 20.99/5.46 |
% 20.99/5.46 +-Applying beta-rule and splitting (76), into two cases.
% 20.99/5.46 |-Branch one:
% 20.99/5.46 | (294) all_0_38_38 = e4
% 20.99/5.46 |
% 20.99/5.46 | Equations (294) can reduce 110 to:
% 20.99/5.46 | (1037) ~ (all_0_41_41 = e4)
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 1037 yields:
% 20.99/5.46 | (1038) ~ (all_0_41_41 = e4)
% 20.99/5.46 |
% 20.99/5.46 | Equations (294) can reduce 7 to:
% 20.99/5.46 | (199) ~ (e4 = e3)
% 20.99/5.46 |
% 20.99/5.46 | Equations (294) can reduce 226 to:
% 20.99/5.46 | (42) ~ (e4 = e2)
% 20.99/5.46 |
% 20.99/5.46 +-Applying beta-rule and splitting (221), into two cases.
% 20.99/5.46 |-Branch one:
% 20.99/5.46 | (545) all_0_41_41 = e4
% 20.99/5.46 |
% 20.99/5.46 | Equations (545) can reduce 1038 to:
% 20.99/5.46 | (301) $false
% 20.99/5.46 |
% 20.99/5.46 |-The branch is then unsatisfiable
% 20.99/5.46 |-Branch two:
% 20.99/5.46 | (1038) ~ (all_0_41_41 = e4)
% 20.99/5.46 | (1051) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_58_58 = e4
% 20.99/5.46 |
% 20.99/5.46 +-Applying beta-rule and splitting (1051), into two cases.
% 20.99/5.46 |-Branch one:
% 20.99/5.46 | (1056) all_0_46_46 = e4
% 20.99/5.46 |
% 20.99/5.46 | Equations (1056) can reduce 126 to:
% 20.99/5.46 | (1038) ~ (all_0_41_41 = e4)
% 20.99/5.46 |
% 20.99/5.46 | Equations (1056) can reduce 14 to:
% 20.99/5.46 | (974) ~ (all_0_42_42 = e4)
% 20.99/5.46 |
% 20.99/5.46 | Equations (1056) can reduce 18 to:
% 20.99/5.46 | (407) ~ (all_0_44_44 = e4)
% 20.99/5.46 |
% 20.99/5.46 | Equations (1056) can reduce 34 to:
% 20.99/5.46 | (489) ~ (all_0_45_45 = e4)
% 20.99/5.46 |
% 20.99/5.46 | Equations (1056) can reduce 583 to:
% 20.99/5.46 | (199) ~ (e4 = e3)
% 20.99/5.46 |
% 20.99/5.46 | Equations (1056) can reduce 575 to:
% 20.99/5.46 | (42) ~ (e4 = e2)
% 20.99/5.46 |
% 20.99/5.46 | From (1056) and (183) follows:
% 20.99/5.46 | (6652) op(e4, e0) = all_0_15_15
% 20.99/5.46 |
% 20.99/5.46 +-Applying beta-rule and splitting (21), into two cases.
% 20.99/5.46 |-Branch one:
% 20.99/5.46 | (403) all_0_44_44 = e4
% 20.99/5.46 |
% 20.99/5.46 | Equations (403) can reduce 407 to:
% 20.99/5.46 | (301) $false
% 20.99/5.46 |
% 20.99/5.46 |-The branch is then unsatisfiable
% 20.99/5.46 |-Branch two:
% 20.99/5.46 | (407) ~ (all_0_44_44 = e4)
% 20.99/5.46 | (408) all_0_53_53 = e4 | all_0_56_56 = e4
% 20.99/5.46 |
% 20.99/5.46 +-Applying beta-rule and splitting (408), into two cases.
% 20.99/5.46 |-Branch one:
% 20.99/5.46 | (409) all_0_53_53 = e4
% 20.99/5.46 |
% 20.99/5.46 | Combining equations (419,409) yields a new equation:
% 20.99/5.46 | (420) e4 = e3
% 20.99/5.46 |
% 20.99/5.46 | Equations (420) can reduce 199 to:
% 20.99/5.46 | (301) $false
% 20.99/5.46 |
% 20.99/5.46 |-The branch is then unsatisfiable
% 20.99/5.46 |-Branch two:
% 20.99/5.46 | (522) ~ (all_0_53_53 = e4)
% 20.99/5.46 | (523) all_0_56_56 = e4
% 20.99/5.46 |
% 20.99/5.46 | Equations (523) can reduce 124 to:
% 20.99/5.46 | (407) ~ (all_0_44_44 = e4)
% 20.99/5.46 |
% 20.99/5.46 | Equations (523) can reduce 190 to:
% 20.99/5.46 | (643) ~ (all_0_54_54 = e4)
% 20.99/5.46 |
% 20.99/5.46 | Equations (523) can reduce 243 to:
% 20.99/5.46 | (644) ~ (all_0_57_57 = e4)
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 644 yields:
% 20.99/5.46 | (377) ~ (all_0_57_57 = e4)
% 20.99/5.46 |
% 20.99/5.46 | Equations (523) can reduce 596 to:
% 20.99/5.46 | (199) ~ (e4 = e3)
% 20.99/5.46 |
% 20.99/5.46 | Equations (523) can reduce 374 to:
% 20.99/5.46 | (43) ~ (e4 = e0)
% 20.99/5.46 |
% 20.99/5.46 | From (523) and (202) follows:
% 20.99/5.46 | (648) op(e4, e2) = all_0_34_34
% 20.99/5.46 |
% 20.99/5.46 +-Applying beta-rule and splitting (121), into two cases.
% 20.99/5.46 |-Branch one:
% 20.99/5.46 | (747) all_0_44_44 = e2
% 20.99/5.46 |
% 20.99/5.46 | Combining equations (747,5464) yields a new equation:
% 20.99/5.46 | (3116) all_0_28_28 = e2
% 20.99/5.46 |
% 20.99/5.46 | Equations (747) can reduce 84 to:
% 20.99/5.46 | (277) ~ (all_0_42_42 = e2)
% 20.99/5.46 |
% 20.99/5.46 | Equations (747) can reduce 38 to:
% 20.99/5.46 | (2443) ~ (all_0_45_45 = e2)
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 2443 yields:
% 20.99/5.46 | (730) ~ (all_0_45_45 = e2)
% 20.99/5.46 |
% 20.99/5.46 | Equations (747) can reduce 407 to:
% 20.99/5.46 | (271) ~ (e4 = e2)
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 271 yields:
% 20.99/5.46 | (42) ~ (e4 = e2)
% 20.99/5.46 |
% 20.99/5.46 | Equations (747) can reduce 417 to:
% 20.99/5.46 | (284) ~ (e3 = e2)
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 284 yields:
% 20.99/5.46 | (231) ~ (e3 = e2)
% 20.99/5.46 |
% 20.99/5.46 | From (747) and (185) follows:
% 20.99/5.46 | (2951) op(e2, e2) = all_0_11_11
% 20.99/5.46 |
% 20.99/5.46 +-Applying beta-rule and splitting (169), into two cases.
% 20.99/5.46 |-Branch one:
% 20.99/5.46 | (1380) all_0_40_40 = e2
% 20.99/5.46 |
% 20.99/5.46 | Combining equations (768,1380) yields a new equation:
% 20.99/5.46 | (572) e3 = e2
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 572 yields:
% 20.99/5.46 | (573) e3 = e2
% 20.99/5.46 |
% 20.99/5.46 | Equations (573) can reduce 231 to:
% 20.99/5.46 | (301) $false
% 20.99/5.46 |
% 20.99/5.46 |-The branch is then unsatisfiable
% 20.99/5.46 |-Branch two:
% 20.99/5.46 | (729) ~ (all_0_40_40 = e2)
% 20.99/5.46 | (2741) all_0_45_45 = e2 | all_0_49_49 = e2 | all_0_57_57 = e2
% 20.99/5.46 |
% 20.99/5.46 +-Applying beta-rule and splitting (2741), into two cases.
% 20.99/5.46 |-Branch one:
% 20.99/5.46 | (752) all_0_45_45 = e2
% 20.99/5.46 |
% 20.99/5.46 | Equations (752) can reduce 730 to:
% 20.99/5.46 | (301) $false
% 20.99/5.46 |
% 20.99/5.46 |-The branch is then unsatisfiable
% 20.99/5.46 |-Branch two:
% 20.99/5.46 | (730) ~ (all_0_45_45 = e2)
% 20.99/5.46 | (2747) all_0_49_49 = e2 | all_0_57_57 = e2
% 20.99/5.46 |
% 20.99/5.46 +-Applying beta-rule and splitting (2747), into two cases.
% 20.99/5.46 |-Branch one:
% 20.99/5.46 | (764) all_0_49_49 = e2
% 20.99/5.46 |
% 20.99/5.46 | Combining equations (491,764) yields a new equation:
% 20.99/5.46 | (553) e4 = e2
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 553 yields:
% 20.99/5.46 | (504) e4 = e2
% 20.99/5.46 |
% 20.99/5.46 | Equations (504) can reduce 42 to:
% 20.99/5.46 | (301) $false
% 20.99/5.46 |
% 20.99/5.46 |-The branch is then unsatisfiable
% 20.99/5.46 |-Branch two:
% 20.99/5.46 | (264) ~ (all_0_49_49 = e2)
% 20.99/5.46 | (458) all_0_57_57 = e2
% 20.99/5.46 |
% 20.99/5.46 | Equations (458) can reduce 75 to:
% 20.99/5.46 | (730) ~ (all_0_45_45 = e2)
% 20.99/5.46 |
% 20.99/5.46 | Equations (458) can reduce 377 to:
% 20.99/5.46 | (271) ~ (e4 = e2)
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 271 yields:
% 20.99/5.46 | (42) ~ (e4 = e2)
% 20.99/5.46 |
% 20.99/5.46 | Equations (458) can reduce 425 to:
% 20.99/5.46 | (284) ~ (e3 = e2)
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 284 yields:
% 20.99/5.46 | (231) ~ (e3 = e2)
% 20.99/5.46 |
% 20.99/5.46 | From (458) and (73) follows:
% 20.99/5.46 | (735) op(e2, e1) = all_0_36_36
% 20.99/5.46 |
% 20.99/5.46 +-Applying beta-rule and splitting (160), into two cases.
% 20.99/5.46 |-Branch one:
% 20.99/5.46 | (752) all_0_45_45 = e2
% 20.99/5.46 |
% 20.99/5.46 | Equations (752) can reduce 730 to:
% 20.99/5.46 | (301) $false
% 20.99/5.46 |
% 20.99/5.46 |-The branch is then unsatisfiable
% 20.99/5.46 |-Branch two:
% 20.99/5.46 | (730) ~ (all_0_45_45 = e2)
% 20.99/5.46 | (2552) all_0_45_45 = e4 | all_0_45_45 = e3 | all_0_45_45 = e1
% 20.99/5.46 |
% 20.99/5.46 +-Applying beta-rule and splitting (146), into two cases.
% 20.99/5.46 |-Branch one:
% 20.99/5.46 | (552) all_0_41_41 = e2
% 20.99/5.46 |
% 20.99/5.46 | Equations (552) can reduce 556 to:
% 20.99/5.46 | (301) $false
% 20.99/5.46 |
% 20.99/5.46 |-The branch is then unsatisfiable
% 20.99/5.46 |-Branch two:
% 20.99/5.46 | (556) ~ (all_0_41_41 = e2)
% 20.99/5.46 | (3875) all_0_41_41 = e4 | all_0_41_41 = e3 | all_0_41_41 = e0
% 20.99/5.46 |
% 20.99/5.46 +-Applying beta-rule and splitting (96), into two cases.
% 20.99/5.46 |-Branch one:
% 20.99/5.46 | (326) all_0_41_41 = e0
% 20.99/5.46 |
% 20.99/5.46 | Equations (326) can reduce 1038 to:
% 20.99/5.46 | (311) ~ (e4 = e0)
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 311 yields:
% 20.99/5.46 | (43) ~ (e4 = e0)
% 20.99/5.46 |
% 20.99/5.46 | From (326) and (256) follows:
% 20.99/5.46 | (6712) op(e0, e4) = all_0_5_5
% 20.99/5.46 |
% 20.99/5.46 | From (326) and (37) follows:
% 20.99/5.46 | (6713) op(e0, e0) = all_0_6_6
% 20.99/5.46 |
% 20.99/5.46 | From (326) and (137) follows:
% 20.99/5.46 | (2672) op(e4, e0) = e0
% 20.99/5.46 |
% 20.99/5.46 +-Applying beta-rule and splitting (9), into two cases.
% 20.99/5.46 |-Branch one:
% 20.99/5.46 | (724) all_0_54_54 = e1
% 20.99/5.46 |
% 20.99/5.46 | Equations (724) can reduce 181 to:
% 20.99/5.46 | (785) ~ (all_0_42_42 = e1)
% 20.99/5.46 |
% 20.99/5.46 | Equations (724) can reduce 206 to:
% 20.99/5.46 | (786) ~ (e3 = e1)
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 786 yields:
% 20.99/5.46 | (234) ~ (e3 = e1)
% 20.99/5.46 |
% 20.99/5.46 | From (724) and (52) follows:
% 20.99/5.46 | (727) op(e1, e4) = all_0_30_30
% 20.99/5.46 |
% 20.99/5.46 | From (724) and (258) follows:
% 20.99/5.46 | (2176) op(e0, e4) = e1
% 20.99/5.46 |
% 20.99/5.46 +-Applying beta-rule and splitting (27), into two cases.
% 20.99/5.46 |-Branch one:
% 20.99/5.46 | (315) all_0_38_38 = e0
% 20.99/5.46 |
% 20.99/5.46 | Combining equations (294,315) yields a new equation:
% 20.99/5.46 | (316) e4 = e0
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 316 yields:
% 20.99/5.46 | (317) e4 = e0
% 20.99/5.46 |
% 20.99/5.46 | Equations (317) can reduce 43 to:
% 20.99/5.46 | (301) $false
% 20.99/5.46 |
% 20.99/5.46 |-The branch is then unsatisfiable
% 20.99/5.46 |-Branch two:
% 20.99/5.46 | (319) ~ (all_0_38_38 = e0)
% 20.99/5.46 | (342) all_0_42_42 = e0 | all_0_54_54 = e0
% 20.99/5.46 |
% 20.99/5.46 +-Applying beta-rule and splitting (227), into two cases.
% 20.99/5.46 |-Branch one:
% 20.99/5.46 | (737) all_0_42_42 = e2
% 20.99/5.46 |
% 20.99/5.46 | Equations (737) can reduce 277 to:
% 20.99/5.46 | (301) $false
% 20.99/5.46 |
% 20.99/5.46 |-The branch is then unsatisfiable
% 20.99/5.46 |-Branch two:
% 20.99/5.46 | (277) ~ (all_0_42_42 = e2)
% 20.99/5.46 | (783) all_0_42_42 = e4 | all_0_42_42 = e1 | all_0_42_42 = e0
% 20.99/5.46 |
% 20.99/5.46 +-Applying beta-rule and splitting (28), into two cases.
% 20.99/5.46 |-Branch one:
% 20.99/5.46 | (979) all_0_42_42 = e1
% 20.99/5.46 |
% 20.99/5.46 | Equations (979) can reduce 785 to:
% 20.99/5.46 | (301) $false
% 20.99/5.46 |
% 20.99/5.46 |-The branch is then unsatisfiable
% 20.99/5.46 |-Branch two:
% 20.99/5.46 | (785) ~ (all_0_42_42 = e1)
% 20.99/5.46 | (1997) all_0_43_43 = e1 | all_0_45_45 = e1
% 20.99/5.46 |
% 20.99/5.46 +-Applying beta-rule and splitting (211), into two cases.
% 20.99/5.46 |-Branch one:
% 20.99/5.46 | (784) all_0_45_45 = e1
% 20.99/5.46 |
% 20.99/5.46 | Combining equations (784,5007) yields a new equation:
% 20.99/5.46 | (810) all_0_4_4 = e1
% 20.99/5.46 |
% 20.99/5.46 | Equations (784) can reduce 208 to:
% 20.99/5.46 | (785) ~ (all_0_42_42 = e1)
% 20.99/5.46 |
% 20.99/5.46 | Equations (784) can reduce 489 to:
% 20.99/5.46 | (479) ~ (e4 = e1)
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 479 yields:
% 20.99/5.46 | (114) ~ (e4 = e1)
% 20.99/5.46 |
% 20.99/5.46 | Equations (784) can reduce 770 to:
% 20.99/5.46 | (786) ~ (e3 = e1)
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 786 yields:
% 20.99/5.46 | (234) ~ (e3 = e1)
% 20.99/5.46 |
% 20.99/5.46 | Equations (784) can reduce 730 to:
% 20.99/5.46 | (788) ~ (e2 = e1)
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 788 yields:
% 20.99/5.46 | (122) ~ (e2 = e1)
% 20.99/5.46 |
% 20.99/5.46 | Equations (784) can reduce 163 to:
% 20.99/5.46 | (247) ~ (e1 = e0)
% 20.99/5.46 |
% 20.99/5.46 | From (784) and (44) follows:
% 20.99/5.46 | (792) op(e1, e1) = all_0_13_13
% 20.99/5.46 |
% 20.99/5.46 +-Applying beta-rule and splitting (30), into two cases.
% 20.99/5.46 |-Branch one:
% 20.99/5.46 | (976) all_0_42_42 = e0
% 20.99/5.46 |
% 20.99/5.46 | Equations (976) can reduce 974 to:
% 20.99/5.46 | (311) ~ (e4 = e0)
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 311 yields:
% 20.99/5.46 | (43) ~ (e4 = e0)
% 20.99/5.46 |
% 20.99/5.46 | Equations (976) can reduce 68 to:
% 20.99/5.46 | (392) ~ (e3 = e0)
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 392 yields:
% 20.99/5.46 | (81) ~ (e3 = e0)
% 20.99/5.46 |
% 20.99/5.46 | Equations (976) can reduce 277 to:
% 20.99/5.46 | (313) ~ (e2 = e0)
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 313 yields:
% 20.99/5.46 | (133) ~ (e2 = e0)
% 20.99/5.46 |
% 20.99/5.46 | Equations (976) can reduce 785 to:
% 20.99/5.46 | (685) ~ (e1 = e0)
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 685 yields:
% 20.99/5.46 | (247) ~ (e1 = e0)
% 20.99/5.46 |
% 20.99/5.46 | From (976) and (159) follows:
% 20.99/5.46 | (2108) op(e0, e4) = all_0_8_8
% 20.99/5.46 |
% 20.99/5.46 | Instantiating formula (151) with e4, e2, all_0_34_34, e1 and discharging atoms op(e4, e2) = all_0_34_34, op(e4, e2) = e1, yields:
% 20.99/5.46 | (829) all_0_34_34 = e1
% 20.99/5.46 |
% 20.99/5.46 | Instantiating formula (151) with e4, e0, e0, all_0_15_15 and discharging atoms op(e4, e0) = all_0_15_15, op(e4, e0) = e0, yields:
% 20.99/5.46 | (815) all_0_15_15 = e0
% 20.99/5.46 |
% 20.99/5.46 | Instantiating formula (151) with e2, e2, all_0_11_11, e0 and discharging atoms op(e2, e2) = all_0_11_11, op(e2, e2) = e0, yields:
% 20.99/5.46 | (2998) all_0_11_11 = e0
% 20.99/5.46 |
% 20.99/5.46 | Instantiating formula (151) with e2, e1, all_0_36_36, e4 and discharging atoms op(e2, e1) = all_0_36_36, op(e2, e1) = e4, yields:
% 20.99/5.46 | (813) all_0_36_36 = e4
% 20.99/5.46 |
% 20.99/5.46 | Instantiating formula (151) with e1, e4, all_0_30_30, e2 and discharging atoms op(e1, e4) = all_0_30_30, op(e1, e4) = e2, yields:
% 20.99/5.46 | (816) all_0_30_30 = e2
% 20.99/5.46 |
% 20.99/5.46 | Instantiating formula (151) with e1, e1, all_0_13_13, e0 and discharging atoms op(e1, e1) = all_0_13_13, op(e1, e1) = e0, yields:
% 20.99/5.46 | (819) all_0_13_13 = e0
% 20.99/5.46 |
% 20.99/5.46 | Instantiating formula (151) with e0, e4, all_0_8_8, all_0_5_5 and discharging atoms op(e0, e4) = all_0_5_5, op(e0, e4) = all_0_8_8, yields:
% 20.99/5.46 | (801) all_0_5_5 = all_0_8_8
% 20.99/5.46 |
% 20.99/5.46 | Instantiating formula (151) with e0, e4, e1, all_0_5_5 and discharging atoms op(e0, e4) = all_0_5_5, op(e0, e4) = e1, yields:
% 20.99/5.46 | (6763) all_0_5_5 = e1
% 20.99/5.46 |
% 20.99/5.46 | Instantiating formula (151) with e0, e0, all_0_6_6, e3 and discharging atoms op(e0, e0) = all_0_6_6, op(e0, e0) = e3, yields:
% 20.99/5.46 | (6764) all_0_6_6 = e3
% 20.99/5.46 |
% 20.99/5.46 | Combining equations (801,6763) yields a new equation:
% 20.99/5.46 | (2253) all_0_8_8 = e1
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 2253 yields:
% 20.99/5.46 | (2254) all_0_8_8 = e1
% 20.99/5.46 |
% 20.99/5.46 +-Applying beta-rule and splitting (128), into two cases.
% 20.99/5.46 |-Branch one:
% 20.99/5.46 | (837) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)) | (all_0_42_42 = e2 & ~ (all_0_44_44 = e4))
% 20.99/5.46 |
% 20.99/5.46 +-Applying beta-rule and splitting (837), into two cases.
% 20.99/5.46 |-Branch one:
% 20.99/5.46 | (838) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1))
% 20.99/5.46 |
% 20.99/5.47 +-Applying beta-rule and splitting (838), into two cases.
% 20.99/5.47 |-Branch one:
% 20.99/5.47 | (839) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56))
% 20.99/5.47 |
% 20.99/5.47 +-Applying beta-rule and splitting (839), into two cases.
% 20.99/5.47 |-Branch one:
% 20.99/5.47 | (840) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55))
% 20.99/5.47 |
% 20.99/5.47 +-Applying beta-rule and splitting (840), into two cases.
% 20.99/5.47 |-Branch one:
% 20.99/5.47 | (841) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54))
% 20.99/5.47 |
% 20.99/5.47 +-Applying beta-rule and splitting (841), into two cases.
% 20.99/5.47 |-Branch one:
% 20.99/5.47 | (842) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53))
% 20.99/5.47 |
% 20.99/5.47 +-Applying beta-rule and splitting (842), into two cases.
% 20.99/5.47 |-Branch one:
% 20.99/5.47 | (843) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52))
% 20.99/5.47 |
% 20.99/5.47 +-Applying beta-rule and splitting (843), into two cases.
% 20.99/5.47 |-Branch one:
% 20.99/5.47 | (844) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51))
% 20.99/5.47 |
% 20.99/5.47 +-Applying beta-rule and splitting (844), into two cases.
% 20.99/5.47 |-Branch one:
% 20.99/5.47 | (845) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56))
% 20.99/5.47 |
% 20.99/5.47 +-Applying beta-rule and splitting (845), into two cases.
% 20.99/5.47 |-Branch one:
% 20.99/5.47 | (846) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53))
% 20.99/5.47 |
% 20.99/5.47 +-Applying beta-rule and splitting (846), into two cases.
% 20.99/5.47 |-Branch one:
% 20.99/5.47 | (847) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47))
% 20.99/5.47 |
% 20.99/5.47 +-Applying beta-rule and splitting (847), into two cases.
% 20.99/5.47 |-Branch one:
% 20.99/5.47 | (848) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55))
% 20.99/5.47 |
% 20.99/5.47 +-Applying beta-rule and splitting (848), into two cases.
% 20.99/5.47 |-Branch one:
% 20.99/5.47 | (849) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52))
% 20.99/5.47 |
% 20.99/5.47 +-Applying beta-rule and splitting (849), into two cases.
% 20.99/5.47 |-Branch one:
% 20.99/5.47 | (850) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47))
% 20.99/5.47 |
% 20.99/5.47 +-Applying beta-rule and splitting (850), into two cases.
% 20.99/5.47 |-Branch one:
% 20.99/5.47 | (851) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42))
% 20.99/5.47 |
% 20.99/5.47 +-Applying beta-rule and splitting (851), into two cases.
% 20.99/5.47 |-Branch one:
% 20.99/5.47 | (852) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54))
% 20.99/5.47 |
% 20.99/5.47 +-Applying beta-rule and splitting (852), into two cases.
% 20.99/5.47 |-Branch one:
% 20.99/5.47 | (853) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51))
% 20.99/5.47 |
% 20.99/5.47 +-Applying beta-rule and splitting (853), into two cases.
% 20.99/5.47 |-Branch one:
% 20.99/5.47 | (854) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)
% 20.99/5.47 |
% 20.99/5.47 | Applying alpha-rule on (854) yields:
% 20.99/5.47 | (855) all_0_2_2 = e4
% 20.99/5.47 | (856) ~ (all_0_1_1 = e3)
% 20.99/5.47 | (857) ~ (all_0_39_39 = all_0_42_42)
% 20.99/5.47 |
% 20.99/5.47 | Combining equations (855,812) yields a new equation:
% 20.99/5.47 | (858) e4 = e1
% 20.99/5.47 |
% 20.99/5.47 | Simplifying 858 yields:
% 20.99/5.47 | (484) e4 = e1
% 20.99/5.47 |
% 20.99/5.47 | Equations (484) can reduce 114 to:
% 20.99/5.47 | (301) $false
% 20.99/5.47 |
% 20.99/5.47 |-The branch is then unsatisfiable
% 20.99/5.47 |-Branch two:
% 20.99/5.47 | (861) all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)
% 20.99/5.47 |
% 20.99/5.47 | Applying alpha-rule on (861) yields:
% 20.99/5.47 | (862) all_0_4_4 = e4
% 20.99/5.47 | (863) ~ (all_0_3_3 = e1)
% 20.99/5.47 | (864) ~ (all_0_40_40 = all_0_51_51)
% 20.99/5.47 |
% 20.99/5.47 | Combining equations (862,810) yields a new equation:
% 20.99/5.47 | (858) e4 = e1
% 20.99/5.47 |
% 20.99/5.47 | Simplifying 858 yields:
% 20.99/5.47 | (484) e4 = e1
% 20.99/5.47 |
% 20.99/5.47 | Equations (484) can reduce 114 to:
% 20.99/5.47 | (301) $false
% 20.99/5.47 |
% 20.99/5.47 |-The branch is then unsatisfiable
% 20.99/5.47 |-Branch two:
% 20.99/5.47 | (868) all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)
% 20.99/5.47 |
% 20.99/5.47 | Applying alpha-rule on (868) yields:
% 20.99/5.47 | (869) all_0_6_6 = e4
% 20.99/5.47 | (870) ~ (all_0_5_5 = e0)
% 20.99/5.47 | (871) ~ (all_0_41_41 = all_0_54_54)
% 20.99/5.47 |
% 20.99/5.47 | Combining equations (869,6764) yields a new equation:
% 20.99/5.47 | (508) e4 = e3
% 20.99/5.47 |
% 20.99/5.47 | Simplifying 508 yields:
% 20.99/5.47 | (420) e4 = e3
% 20.99/5.47 |
% 20.99/5.47 | Equations (420) can reduce 199 to:
% 20.99/5.47 | (301) $false
% 20.99/5.47 |
% 20.99/5.47 |-The branch is then unsatisfiable
% 20.99/5.47 |-Branch two:
% 20.99/5.47 | (873) all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)
% 20.99/5.47 |
% 20.99/5.47 | Applying alpha-rule on (873) yields:
% 20.99/5.47 | (874) all_0_8_8 = e3
% 20.99/5.47 | (875) ~ (all_0_7_7 = e4)
% 20.99/5.47 | (857) ~ (all_0_39_39 = all_0_42_42)
% 20.99/5.47 |
% 20.99/5.47 | Combining equations (874,2254) yields a new equation:
% 20.99/5.47 | (707) e3 = e1
% 20.99/5.47 |
% 20.99/5.47 | Simplifying 707 yields:
% 20.99/5.47 | (708) e3 = e1
% 20.99/5.47 |
% 20.99/5.47 | Equations (708) can reduce 234 to:
% 20.99/5.47 | (301) $false
% 20.99/5.47 |
% 20.99/5.47 |-The branch is then unsatisfiable
% 20.99/5.47 |-Branch two:
% 20.99/5.47 | (880) all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)
% 20.99/5.47 |
% 20.99/5.47 | Applying alpha-rule on (880) yields:
% 20.99/5.47 | (881) all_0_11_11 = e3
% 20.99/5.47 | (882) ~ (all_0_10_10 = e2)
% 20.99/5.47 | (883) ~ (all_0_44_44 = all_0_47_47)
% 20.99/5.47 |
% 20.99/5.47 | Combining equations (881,2998) yields a new equation:
% 20.99/5.47 | (414) e3 = e0
% 20.99/5.47 |
% 20.99/5.47 | Simplifying 414 yields:
% 20.99/5.47 | (415) e3 = e0
% 20.99/5.47 |
% 20.99/5.47 | Equations (415) can reduce 81 to:
% 20.99/5.47 | (301) $false
% 20.99/5.47 |
% 20.99/5.47 |-The branch is then unsatisfiable
% 20.99/5.47 |-Branch two:
% 20.99/5.47 | (886) all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)
% 20.99/5.47 |
% 20.99/5.47 | Applying alpha-rule on (886) yields:
% 20.99/5.47 | (887) all_0_13_13 = e3
% 20.99/5.47 | (888) ~ (all_0_12_12 = e1)
% 20.99/5.47 | (889) ~ (all_0_45_45 = all_0_52_52)
% 20.99/5.47 |
% 20.99/5.47 | Combining equations (887,819) yields a new equation:
% 20.99/5.47 | (414) e3 = e0
% 20.99/5.47 |
% 20.99/5.47 | Simplifying 414 yields:
% 20.99/5.47 | (415) e3 = e0
% 20.99/5.47 |
% 20.99/5.47 | Equations (415) can reduce 81 to:
% 20.99/5.47 | (301) $false
% 20.99/5.47 |
% 20.99/5.47 |-The branch is then unsatisfiable
% 20.99/5.47 |-Branch two:
% 20.99/5.47 | (893) all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)
% 20.99/5.47 |
% 20.99/5.47 | Applying alpha-rule on (893) yields:
% 20.99/5.47 | (894) all_0_15_15 = e3
% 20.99/5.47 | (895) ~ (all_0_14_14 = e0)
% 20.99/5.47 | (896) ~ (all_0_46_46 = all_0_55_55)
% 20.99/5.47 |
% 20.99/5.47 | Combining equations (894,815) yields a new equation:
% 20.99/5.47 | (414) e3 = e0
% 20.99/5.47 |
% 20.99/5.47 | Simplifying 414 yields:
% 20.99/5.47 | (415) e3 = e0
% 20.99/5.47 |
% 20.99/5.47 | Equations (415) can reduce 81 to:
% 20.99/5.47 | (301) $false
% 20.99/5.47 |
% 20.99/5.47 |-The branch is then unsatisfiable
% 20.99/5.47 |-Branch two:
% 20.99/5.47 | (900) all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)
% 20.99/5.47 |
% 20.99/5.47 | Applying alpha-rule on (900) yields:
% 20.99/5.47 | (901) all_0_17_17 = e2
% 20.99/5.47 | (902) ~ (all_0_16_16 = e3)
% 20.99/5.47 | (883) ~ (all_0_44_44 = all_0_47_47)
% 20.99/5.47 |
% 20.99/5.47 | Combining equations (901,827) yields a new equation:
% 20.99/5.47 | (504) e4 = e2
% 20.99/5.47 |
% 20.99/5.47 | Equations (504) can reduce 42 to:
% 20.99/5.47 | (301) $false
% 20.99/5.47 |
% 20.99/5.47 |-The branch is then unsatisfiable
% 20.99/5.47 |-Branch two:
% 20.99/5.47 | (906) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)
% 20.99/5.47 |
% 20.99/5.47 | Applying alpha-rule on (906) yields:
% 20.99/5.47 | (907) all_0_20_20 = e2
% 20.99/5.47 | (908) ~ (all_0_19_19 = e1)
% 20.99/5.47 | (909) ~ (all_0_49_49 = all_0_53_53)
% 20.99/5.47 |
% 20.99/5.47 | Combining equations (907,808) yields a new equation:
% 20.99/5.47 | (573) e3 = e2
% 20.99/5.47 |
% 20.99/5.47 | Equations (573) can reduce 231 to:
% 20.99/5.47 | (301) $false
% 20.99/5.47 |
% 20.99/5.47 |-The branch is then unsatisfiable
% 20.99/5.47 |-Branch two:
% 20.99/5.47 | (912) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)
% 20.99/5.47 |
% 20.99/5.47 | Applying alpha-rule on (912) yields:
% 20.99/5.47 | (913) all_0_22_22 = e2
% 20.99/5.47 | (914) ~ (all_0_21_21 = e0)
% 20.99/5.47 | (915) ~ (all_0_50_50 = all_0_56_56)
% 20.99/5.47 |
% 20.99/5.47 | Equations (2824) can reduce 914 to:
% 20.99/5.47 | (301) $false
% 20.99/5.47 |
% 20.99/5.47 |-The branch is then unsatisfiable
% 20.99/5.47 |-Branch two:
% 20.99/5.47 | (918) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)
% 20.99/5.47 |
% 20.99/5.47 | Applying alpha-rule on (918) yields:
% 20.99/5.47 | (919) all_0_24_24 = e1
% 20.99/5.47 | (920) ~ (all_0_23_23 = e4)
% 20.99/5.47 | (864) ~ (all_0_40_40 = all_0_51_51)
% 20.99/5.47 |
% 20.99/5.47 | Combining equations (919,290) yields a new equation:
% 20.99/5.47 | (708) e3 = e1
% 20.99/5.47 |
% 20.99/5.47 | Equations (708) can reduce 234 to:
% 20.99/5.47 | (301) $false
% 20.99/5.47 |
% 20.99/5.47 |-The branch is then unsatisfiable
% 20.99/5.47 |-Branch two:
% 20.99/5.47 | (924) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)
% 20.99/5.47 |
% 20.99/5.47 | Applying alpha-rule on (924) yields:
% 20.99/5.47 | (925) all_0_26_26 = e1
% 20.99/5.47 | (926) ~ (all_0_25_25 = e3)
% 20.99/5.47 | (889) ~ (all_0_45_45 = all_0_52_52)
% 20.99/5.47 |
% 20.99/5.47 | Combining equations (925,826) yields a new equation:
% 20.99/5.47 | (928) e2 = e1
% 20.99/5.47 |
% 20.99/5.47 | Equations (928) can reduce 122 to:
% 20.99/5.47 | (301) $false
% 20.99/5.47 |
% 20.99/5.47 |-The branch is then unsatisfiable
% 20.99/5.47 |-Branch two:
% 20.99/5.47 | (930) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)
% 20.99/5.47 |
% 20.99/5.47 | Applying alpha-rule on (930) yields:
% 20.99/5.47 | (931) all_0_28_28 = e1
% 20.99/5.47 | (932) ~ (all_0_27_27 = e2)
% 20.99/5.47 | (909) ~ (all_0_49_49 = all_0_53_53)
% 20.99/5.47 |
% 20.99/5.47 | Combining equations (931,3116) yields a new equation:
% 20.99/5.47 | (928) e2 = e1
% 20.99/5.47 |
% 20.99/5.47 | Equations (928) can reduce 122 to:
% 20.99/5.47 | (301) $false
% 20.99/5.47 |
% 20.99/5.47 |-The branch is then unsatisfiable
% 20.99/5.47 |-Branch two:
% 20.99/5.47 | (937) all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)
% 20.99/5.47 |
% 20.99/5.47 | Applying alpha-rule on (937) yields:
% 20.99/5.47 | (938) all_0_30_30 = e0
% 20.99/5.47 | (939) ~ (all_0_29_29 = e4)
% 20.99/5.47 | (871) ~ (all_0_41_41 = all_0_54_54)
% 20.99/5.47 |
% 20.99/5.47 | Combining equations (816,938) yields a new equation:
% 20.99/5.47 | (352) e2 = e0
% 20.99/5.47 |
% 20.99/5.47 | Simplifying 352 yields:
% 20.99/5.47 | (345) e2 = e0
% 20.99/5.47 |
% 20.99/5.47 | Equations (345) can reduce 133 to:
% 20.99/5.47 | (301) $false
% 20.99/5.47 |
% 20.99/5.47 |-The branch is then unsatisfiable
% 20.99/5.47 |-Branch two:
% 20.99/5.47 | (944) all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)
% 20.99/5.47 |
% 20.99/5.47 | Applying alpha-rule on (944) yields:
% 20.99/5.47 | (945) all_0_32_32 = e0
% 20.99/5.47 | (946) ~ (all_0_31_31 = e3)
% 20.99/5.47 | (896) ~ (all_0_46_46 = all_0_55_55)
% 20.99/5.47 |
% 20.99/5.47 | Equations (831) can reduce 946 to:
% 20.99/5.47 | (301) $false
% 20.99/5.47 |
% 20.99/5.47 |-The branch is then unsatisfiable
% 20.99/5.47 |-Branch two:
% 20.99/5.47 | (949) all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)
% 20.99/5.47 |
% 20.99/5.47 | Applying alpha-rule on (949) yields:
% 20.99/5.47 | (950) all_0_34_34 = e0
% 20.99/5.47 | (951) ~ (all_0_33_33 = e2)
% 20.99/5.47 | (915) ~ (all_0_50_50 = all_0_56_56)
% 20.99/5.47 |
% 20.99/5.47 | Combining equations (829,950) yields a new equation:
% 20.99/5.47 | (934) e1 = e0
% 20.99/5.47 |
% 20.99/5.47 | Simplifying 934 yields:
% 20.99/5.47 | (935) e1 = e0
% 20.99/5.47 |
% 20.99/5.47 | Equations (935) can reduce 247 to:
% 20.99/5.47 | (301) $false
% 20.99/5.47 |
% 20.99/5.47 |-The branch is then unsatisfiable
% 20.99/5.47 |-Branch two:
% 20.99/5.47 | (956) all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)
% 20.99/5.47 |
% 20.99/5.47 | Applying alpha-rule on (956) yields:
% 20.99/5.47 | (957) all_0_36_36 = e0
% 20.99/5.47 | (958) ~ (all_0_35_35 = e1)
% 20.99/5.47 | (726) ~ (all_0_57_57 = e1)
% 20.99/5.47 |
% 20.99/5.47 | Combining equations (813,957) yields a new equation:
% 20.99/5.47 | (316) e4 = e0
% 20.99/5.47 |
% 20.99/5.47 | Simplifying 316 yields:
% 20.99/5.47 | (317) e4 = e0
% 20.99/5.47 |
% 20.99/5.47 | Equations (317) can reduce 43 to:
% 20.99/5.47 | (301) $false
% 20.99/5.47 |
% 20.99/5.47 |-The branch is then unsatisfiable
% 20.99/5.48 |-Branch two:
% 20.99/5.48 | (963) all_0_42_42 = e2 & ~ (all_0_44_44 = e4)
% 20.99/5.48 |
% 20.99/5.48 | Applying alpha-rule on (963) yields:
% 20.99/5.48 | (737) all_0_42_42 = e2
% 20.99/5.48 | (407) ~ (all_0_44_44 = e4)
% 20.99/5.48 |
% 20.99/5.48 | Combining equations (976,737) yields a new equation:
% 20.99/5.48 | (345) e2 = e0
% 20.99/5.48 |
% 20.99/5.48 | Equations (345) can reduce 133 to:
% 20.99/5.48 | (301) $false
% 20.99/5.48 |
% 20.99/5.48 |-The branch is then unsatisfiable
% 20.99/5.48 |-Branch two:
% 20.99/5.48 | (969) all_0_53_53 = e4 & ~ (all_0_51_51 = e2)
% 20.99/5.48 |
% 20.99/5.48 | Applying alpha-rule on (969) yields:
% 20.99/5.48 | (409) all_0_53_53 = e4
% 20.99/5.48 | (971) ~ (all_0_51_51 = e2)
% 20.99/5.48 |
% 20.99/5.48 | Combining equations (419,409) yields a new equation:
% 20.99/5.48 | (420) e4 = e3
% 20.99/5.48 |
% 20.99/5.48 | Equations (420) can reduce 199 to:
% 20.99/5.48 | (301) $false
% 20.99/5.48 |
% 20.99/5.48 |-The branch is then unsatisfiable
% 20.99/5.48 |-Branch two:
% 20.99/5.48 | (680) ~ (all_0_42_42 = e0)
% 20.99/5.48 | (1978) all_0_43_43 = e0 | all_0_44_44 = e0 | all_0_46_46 = e0
% 20.99/5.48 |
% 20.99/5.48 +-Applying beta-rule and splitting (342), into two cases.
% 20.99/5.48 |-Branch one:
% 20.99/5.48 | (976) all_0_42_42 = e0
% 20.99/5.48 |
% 20.99/5.48 | Equations (976) can reduce 680 to:
% 20.99/5.48 | (301) $false
% 20.99/5.48 |
% 20.99/5.48 |-The branch is then unsatisfiable
% 20.99/5.48 |-Branch two:
% 20.99/5.48 | (680) ~ (all_0_42_42 = e0)
% 20.99/5.48 | (369) all_0_54_54 = e0
% 20.99/5.48 |
% 20.99/5.48 | Combining equations (369,724) yields a new equation:
% 20.99/5.48 | (935) e1 = e0
% 20.99/5.48 |
% 20.99/5.48 | Equations (935) can reduce 247 to:
% 20.99/5.48 | (301) $false
% 20.99/5.48 |
% 20.99/5.48 |-The branch is then unsatisfiable
% 20.99/5.48 |-Branch two:
% 20.99/5.48 | (477) ~ (all_0_45_45 = e1)
% 20.99/5.48 | (982) all_0_49_49 = e1 | all_0_57_57 = e1
% 20.99/5.48 |
% 20.99/5.48 +-Applying beta-rule and splitting (1997), into two cases.
% 20.99/5.48 |-Branch one:
% 20.99/5.48 | (706) all_0_43_43 = e1
% 20.99/5.48 |
% 20.99/5.48 | Combining equations (700,706) yields a new equation:
% 20.99/5.48 | (707) e3 = e1
% 20.99/5.48 |
% 20.99/5.48 | Simplifying 707 yields:
% 20.99/5.48 | (708) e3 = e1
% 20.99/5.48 |
% 20.99/5.48 | Equations (708) can reduce 234 to:
% 20.99/5.48 | (301) $false
% 20.99/5.48 |
% 20.99/5.48 |-The branch is then unsatisfiable
% 20.99/5.48 |-Branch two:
% 20.99/5.48 | (710) ~ (all_0_43_43 = e1)
% 20.99/5.48 | (784) all_0_45_45 = e1
% 20.99/5.48 |
% 20.99/5.48 | Equations (784) can reduce 477 to:
% 20.99/5.48 | (301) $false
% 20.99/5.48 |
% 20.99/5.48 |-The branch is then unsatisfiable
% 20.99/5.48 |-Branch two:
% 20.99/5.48 | (1566) ~ (all_0_54_54 = e1)
% 20.99/5.48 | (1691) all_0_55_55 = e1 | all_0_57_57 = e1
% 20.99/5.48 |
% 20.99/5.48 +-Applying beta-rule and splitting (186), into two cases.
% 20.99/5.48 |-Branch one:
% 20.99/5.48 | (979) all_0_42_42 = e1
% 20.99/5.48 |
% 20.99/5.48 | Equations (979) can reduce 208 to:
% 20.99/5.48 | (3832) ~ (all_0_45_45 = e1)
% 20.99/5.48 |
% 20.99/5.48 | Simplifying 3832 yields:
% 20.99/5.48 | (477) ~ (all_0_45_45 = e1)
% 20.99/5.48 |
% 20.99/5.48 | Equations (979) can reduce 974 to:
% 20.99/5.48 | (479) ~ (e4 = e1)
% 20.99/5.48 |
% 20.99/5.48 | Simplifying 479 yields:
% 20.99/5.48 | (114) ~ (e4 = e1)
% 20.99/5.48 |
% 20.99/5.48 | Equations (979) can reduce 277 to:
% 20.99/5.48 | (788) ~ (e2 = e1)
% 20.99/5.48 |
% 20.99/5.48 | Simplifying 788 yields:
% 20.99/5.48 | (122) ~ (e2 = e1)
% 20.99/5.48 |
% 20.99/5.48 +-Applying beta-rule and splitting (211), into two cases.
% 20.99/5.48 |-Branch one:
% 20.99/5.48 | (784) all_0_45_45 = e1
% 20.99/5.48 |
% 20.99/5.48 | Equations (784) can reduce 477 to:
% 20.99/5.48 | (301) $false
% 20.99/5.48 |
% 20.99/5.48 |-The branch is then unsatisfiable
% 20.99/5.48 |-Branch two:
% 20.99/5.48 | (477) ~ (all_0_45_45 = e1)
% 20.99/5.48 | (982) all_0_49_49 = e1 | all_0_57_57 = e1
% 20.99/5.48 |
% 20.99/5.48 +-Applying beta-rule and splitting (982), into two cases.
% 20.99/5.48 |-Branch one:
% 20.99/5.48 | (487) all_0_49_49 = e1
% 20.99/5.48 |
% 20.99/5.48 | Combining equations (487,491) yields a new equation:
% 20.99/5.48 | (484) e4 = e1
% 20.99/5.48 |
% 20.99/5.48 | Equations (484) can reduce 114 to:
% 20.99/5.48 | (301) $false
% 20.99/5.48 |
% 20.99/5.48 |-The branch is then unsatisfiable
% 20.99/5.48 |-Branch two:
% 20.99/5.48 | (478) ~ (all_0_49_49 = e1)
% 20.99/5.48 | (476) all_0_57_57 = e1
% 20.99/5.48 |
% 20.99/5.48 | Combining equations (458,476) yields a new equation:
% 20.99/5.48 | (1250) e2 = e1
% 20.99/5.48 |
% 20.99/5.48 | Simplifying 1250 yields:
% 20.99/5.48 | (928) e2 = e1
% 20.99/5.48 |
% 20.99/5.48 | Equations (928) can reduce 122 to:
% 20.99/5.48 | (301) $false
% 20.99/5.48 |
% 20.99/5.48 |-The branch is then unsatisfiable
% 20.99/5.48 |-Branch two:
% 20.99/5.48 | (785) ~ (all_0_42_42 = e1)
% 20.99/5.48 | (724) all_0_54_54 = e1
% 20.99/5.48 |
% 20.99/5.48 | Equations (724) can reduce 1566 to:
% 20.99/5.48 | (301) $false
% 20.99/5.48 |
% 20.99/5.48 |-The branch is then unsatisfiable
% 20.99/5.48 |-Branch two:
% 20.99/5.48 | (309) ~ (all_0_41_41 = e0)
% 20.99/5.48 | (1650) all_0_46_46 = e0 | all_0_50_50 = e0 | all_0_58_58 = e0
% 20.99/5.48 |
% 20.99/5.48 +-Applying beta-rule and splitting (3875), into two cases.
% 20.99/5.48 |-Branch one:
% 20.99/5.48 | (545) all_0_41_41 = e4
% 20.99/5.48 |
% 20.99/5.48 | Equations (545) can reduce 1038 to:
% 20.99/5.48 | (301) $false
% 20.99/5.48 |
% 20.99/5.48 |-The branch is then unsatisfiable
% 20.99/5.48 |-Branch two:
% 20.99/5.48 | (1038) ~ (all_0_41_41 = e4)
% 20.99/5.48 | (3879) all_0_41_41 = e3 | all_0_41_41 = e0
% 20.99/5.48 |
% 21.28/5.48 +-Applying beta-rule and splitting (3879), into two cases.
% 21.28/5.48 |-Branch one:
% 21.28/5.48 | (326) all_0_41_41 = e0
% 21.28/5.48 |
% 21.28/5.48 | Equations (326) can reduce 309 to:
% 21.28/5.48 | (301) $false
% 21.28/5.48 |
% 21.28/5.48 |-The branch is then unsatisfiable
% 21.28/5.48 |-Branch two:
% 21.28/5.48 | (309) ~ (all_0_41_41 = e0)
% 21.28/5.48 | (564) all_0_41_41 = e3
% 21.28/5.48 |
% 21.28/5.48 | Equations (564) can reduce 568 to:
% 21.28/5.48 | (301) $false
% 21.28/5.48 |
% 21.28/5.48 |-The branch is then unsatisfiable
% 21.28/5.48 |-Branch two:
% 21.28/5.48 | (261) ~ (all_0_44_44 = e2)
% 21.28/5.48 | (3570) all_0_48_48 = e2 | all_0_53_53 = e2 | all_0_56_56 = e2
% 21.28/5.48 |
% 21.28/5.48 +-Applying beta-rule and splitting (30), into two cases.
% 21.28/5.48 |-Branch one:
% 21.28/5.48 | (976) all_0_42_42 = e0
% 21.28/5.48 |
% 21.28/5.48 | Equations (976) can reduce 181 to:
% 21.28/5.48 | (681) ~ (all_0_54_54 = e0)
% 21.28/5.48 |
% 21.28/5.48 | Simplifying 681 yields:
% 21.28/5.48 | (682) ~ (all_0_54_54 = e0)
% 21.28/5.48 |
% 21.28/5.48 | Equations (976) can reduce 974 to:
% 21.28/5.48 | (311) ~ (e4 = e0)
% 21.28/5.48 |
% 21.28/5.48 | Simplifying 311 yields:
% 21.28/5.48 | (43) ~ (e4 = e0)
% 21.28/5.48 |
% 21.28/5.48 +-Applying beta-rule and splitting (186), into two cases.
% 21.28/5.48 |-Branch one:
% 21.28/5.48 | (979) all_0_42_42 = e1
% 21.28/5.48 |
% 21.28/5.48 | Combining equations (976,979) yields a new equation:
% 21.28/5.48 | (935) e1 = e0
% 21.28/5.48 |
% 21.28/5.48 | Equations (935) can reduce 247 to:
% 21.28/5.48 | (301) $false
% 21.28/5.48 |
% 21.28/5.48 |-The branch is then unsatisfiable
% 21.28/5.48 |-Branch two:
% 21.28/5.48 | (785) ~ (all_0_42_42 = e1)
% 21.28/5.48 | (724) all_0_54_54 = e1
% 21.28/5.48 |
% 21.28/5.48 | Equations (724) can reduce 223 to:
% 21.28/5.48 | (725) ~ (all_0_57_57 = e1)
% 21.28/5.48 |
% 21.28/5.48 | Simplifying 725 yields:
% 21.28/5.48 | (726) ~ (all_0_57_57 = e1)
% 21.28/5.48 |
% 21.28/5.48 | Equations (724) can reduce 643 to:
% 21.28/5.48 | (479) ~ (e4 = e1)
% 21.28/5.48 |
% 21.28/5.48 | Simplifying 479 yields:
% 21.28/5.48 | (114) ~ (e4 = e1)
% 21.28/5.48 |
% 21.28/5.48 | Equations (724) can reduce 206 to:
% 21.28/5.48 | (786) ~ (e3 = e1)
% 21.28/5.48 |
% 21.28/5.48 | Simplifying 786 yields:
% 21.28/5.48 | (234) ~ (e3 = e1)
% 21.28/5.48 |
% 21.28/5.48 | Equations (724) can reduce 283 to:
% 21.28/5.48 | (788) ~ (e2 = e1)
% 21.28/5.48 |
% 21.28/5.48 | Simplifying 788 yields:
% 21.28/5.48 | (122) ~ (e2 = e1)
% 21.28/5.48 |
% 21.28/5.48 | Equations (724) can reduce 682 to:
% 21.28/5.48 | (247) ~ (e1 = e0)
% 21.28/5.48 |
% 21.28/5.48 +-Applying beta-rule and splitting (143), into two cases.
% 21.28/5.48 |-Branch one:
% 21.28/5.48 | (315) all_0_38_38 = e0
% 21.28/5.48 |
% 21.28/5.48 | Combining equations (294,315) yields a new equation:
% 21.28/5.48 | (316) e4 = e0
% 21.28/5.48 |
% 21.28/5.48 | Simplifying 316 yields:
% 21.28/5.48 | (317) e4 = e0
% 21.28/5.48 |
% 21.28/5.48 | Equations (317) can reduce 43 to:
% 21.28/5.48 | (301) $false
% 21.28/5.48 |
% 21.28/5.48 |-The branch is then unsatisfiable
% 21.28/5.48 |-Branch two:
% 21.28/5.48 | (319) ~ (all_0_38_38 = e0)
% 21.28/5.48 | (320) all_0_39_39 = e0 | all_0_41_41 = e0
% 21.28/5.48 |
% 21.28/5.48 +-Applying beta-rule and splitting (19), into two cases.
% 21.28/5.48 |-Branch one:
% 21.28/5.48 | (458) all_0_57_57 = e2
% 21.28/5.48 |
% 21.28/5.48 | Equations (458) can reduce 75 to:
% 21.28/5.48 | (730) ~ (all_0_45_45 = e2)
% 21.28/5.48 |
% 21.28/5.48 | Equations (458) can reduce 377 to:
% 21.28/5.48 | (271) ~ (e4 = e2)
% 21.28/5.48 |
% 21.28/5.48 | Simplifying 271 yields:
% 21.28/5.48 | (42) ~ (e4 = e2)
% 21.28/5.48 |
% 21.28/5.48 | Equations (458) can reduce 425 to:
% 21.28/5.48 | (284) ~ (e3 = e2)
% 21.28/5.48 |
% 21.28/5.48 | Simplifying 284 yields:
% 21.28/5.48 | (231) ~ (e3 = e2)
% 21.28/5.48 |
% 21.28/5.48 | Equations (458) can reduce 189 to:
% 21.28/5.48 | (133) ~ (e2 = e0)
% 21.28/5.48 |
% 21.28/5.48 +-Applying beta-rule and splitting (160), into two cases.
% 21.28/5.48 |-Branch one:
% 21.28/5.48 | (752) all_0_45_45 = e2
% 21.28/5.48 |
% 21.28/5.48 | Equations (752) can reduce 730 to:
% 21.28/5.48 | (301) $false
% 21.28/5.48 |
% 21.28/5.48 |-The branch is then unsatisfiable
% 21.28/5.48 |-Branch two:
% 21.28/5.48 | (730) ~ (all_0_45_45 = e2)
% 21.28/5.48 | (2552) all_0_45_45 = e4 | all_0_45_45 = e3 | all_0_45_45 = e1
% 21.28/5.48 |
% 21.28/5.48 +-Applying beta-rule and splitting (239), into two cases.
% 21.28/5.48 |-Branch one:
% 21.28/5.48 | (747) all_0_44_44 = e2
% 21.28/5.48 |
% 21.28/5.48 | Equations (747) can reduce 261 to:
% 21.28/5.48 | (301) $false
% 21.28/5.48 |
% 21.28/5.48 |-The branch is then unsatisfiable
% 21.28/5.48 |-Branch two:
% 21.28/5.48 | (261) ~ (all_0_44_44 = e2)
% 21.28/5.48 | (1634) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e0
% 21.28/5.48 |
% 21.28/5.48 +-Applying beta-rule and splitting (28), into two cases.
% 21.28/5.48 |-Branch one:
% 21.28/5.48 | (979) all_0_42_42 = e1
% 21.28/5.48 |
% 21.28/5.48 | Combining equations (976,979) yields a new equation:
% 21.28/5.48 | (935) e1 = e0
% 21.28/5.48 |
% 21.28/5.48 | Equations (935) can reduce 247 to:
% 21.28/5.48 | (301) $false
% 21.28/5.48 |
% 21.28/5.48 |-The branch is then unsatisfiable
% 21.28/5.48 |-Branch two:
% 21.28/5.48 | (785) ~ (all_0_42_42 = e1)
% 21.28/5.48 | (1997) all_0_43_43 = e1 | all_0_45_45 = e1
% 21.28/5.48 |
% 21.28/5.48 +-Applying beta-rule and splitting (146), into two cases.
% 21.28/5.48 |-Branch one:
% 21.28/5.48 | (552) all_0_41_41 = e2
% 21.28/5.48 |
% 21.28/5.48 | Equations (552) can reduce 556 to:
% 21.28/5.48 | (301) $false
% 21.28/5.48 |
% 21.28/5.48 |-The branch is then unsatisfiable
% 21.28/5.48 |-Branch two:
% 21.28/5.48 | (556) ~ (all_0_41_41 = e2)
% 21.28/5.48 | (3875) all_0_41_41 = e4 | all_0_41_41 = e3 | all_0_41_41 = e0
% 21.28/5.48 |
% 21.28/5.48 +-Applying beta-rule and splitting (96), into two cases.
% 21.28/5.48 |-Branch one:
% 21.28/5.48 | (326) all_0_41_41 = e0
% 21.28/5.48 |
% 21.28/5.48 | Equations (326) can reduce 556 to:
% 21.28/5.48 | (313) ~ (e2 = e0)
% 21.28/5.48 |
% 21.28/5.48 | Simplifying 313 yields:
% 21.28/5.48 | (133) ~ (e2 = e0)
% 21.28/5.48 |
% 21.28/5.48 +-Applying beta-rule and splitting (1997), into two cases.
% 21.28/5.48 |-Branch one:
% 21.28/5.48 | (706) all_0_43_43 = e1
% 21.28/5.48 |
% 21.28/5.48 | Combining equations (700,706) yields a new equation:
% 21.28/5.48 | (707) e3 = e1
% 21.28/5.48 |
% 21.28/5.48 | Simplifying 707 yields:
% 21.28/5.48 | (708) e3 = e1
% 21.28/5.48 |
% 21.28/5.48 | Equations (708) can reduce 234 to:
% 21.28/5.48 | (301) $false
% 21.28/5.48 |
% 21.28/5.48 |-The branch is then unsatisfiable
% 21.28/5.48 |-Branch two:
% 21.28/5.48 | (710) ~ (all_0_43_43 = e1)
% 21.28/5.48 | (784) all_0_45_45 = e1
% 21.28/5.48 |
% 21.28/5.48 | Equations (784) can reduce 730 to:
% 21.28/5.48 | (788) ~ (e2 = e1)
% 21.28/5.48 |
% 21.28/5.48 | Simplifying 788 yields:
% 21.28/5.48 | (122) ~ (e2 = e1)
% 21.28/5.48 |
% 21.28/5.48 +-Applying beta-rule and splitting (66), into two cases.
% 21.28/5.48 |-Branch one:
% 21.28/5.48 | (737) all_0_42_42 = e2
% 21.28/5.48 |
% 21.28/5.48 | Combining equations (737,976) yields a new equation:
% 21.28/5.48 | (352) e2 = e0
% 21.28/5.48 |
% 21.28/5.48 | Simplifying 352 yields:
% 21.28/5.48 | (345) e2 = e0
% 21.28/5.48 |
% 21.28/5.48 | Equations (345) can reduce 133 to:
% 21.28/5.48 | (301) $false
% 21.28/5.48 |
% 21.28/5.48 |-The branch is then unsatisfiable
% 21.28/5.48 |-Branch two:
% 21.28/5.48 | (277) ~ (all_0_42_42 = e2)
% 21.28/5.48 | (740) all_0_43_43 = e2 | all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2
% 21.28/5.48 |
% 21.28/5.48 +-Applying beta-rule and splitting (740), into two cases.
% 21.28/5.48 |-Branch one:
% 21.28/5.48 | (439) all_0_43_43 = e2
% 21.28/5.48 |
% 21.28/5.48 | Combining equations (700,439) yields a new equation:
% 21.28/5.48 | (572) e3 = e2
% 21.28/5.48 |
% 21.28/5.48 | Simplifying 572 yields:
% 21.28/5.48 | (573) e3 = e2
% 21.28/5.48 |
% 21.28/5.48 | Equations (573) can reduce 231 to:
% 21.28/5.48 | (301) $false
% 21.28/5.48 |
% 21.28/5.48 |-The branch is then unsatisfiable
% 21.28/5.48 |-Branch two:
% 21.28/5.48 | (275) ~ (all_0_43_43 = e2)
% 21.28/5.48 | (746) all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2
% 21.28/5.48 |
% 21.28/5.48 +-Applying beta-rule and splitting (746), into two cases.
% 21.28/5.48 |-Branch one:
% 21.28/5.48 | (747) all_0_44_44 = e2
% 21.28/5.48 |
% 21.28/5.48 | Equations (747) can reduce 261 to:
% 21.28/5.48 | (301) $false
% 21.28/5.48 |
% 21.28/5.48 |-The branch is then unsatisfiable
% 21.28/5.48 |-Branch two:
% 21.28/5.48 | (261) ~ (all_0_44_44 = e2)
% 21.28/5.48 | (751) all_0_45_45 = e2 | all_0_46_46 = e2
% 21.28/5.48 |
% 21.28/5.48 +-Applying beta-rule and splitting (751), into two cases.
% 21.28/5.48 |-Branch one:
% 21.28/5.48 | (752) all_0_45_45 = e2
% 21.28/5.48 |
% 21.28/5.48 | Combining equations (784,752) yields a new equation:
% 21.28/5.48 | (928) e2 = e1
% 21.28/5.48 |
% 21.28/5.48 | Equations (928) can reduce 122 to:
% 21.28/5.48 | (301) $false
% 21.28/5.48 |
% 21.28/5.48 |-The branch is then unsatisfiable
% 21.28/5.48 |-Branch two:
% 21.28/5.48 | (730) ~ (all_0_45_45 = e2)
% 21.28/5.48 | (571) all_0_46_46 = e2
% 21.28/5.48 |
% 21.28/5.48 | Combining equations (1056,571) yields a new equation:
% 21.28/5.48 | (553) e4 = e2
% 21.28/5.48 |
% 21.28/5.48 | Simplifying 553 yields:
% 21.28/5.48 | (504) e4 = e2
% 21.28/5.48 |
% 21.28/5.48 | Equations (504) can reduce 42 to:
% 21.28/5.48 | (301) $false
% 21.28/5.48 |
% 21.28/5.48 |-The branch is then unsatisfiable
% 21.28/5.48 |-Branch two:
% 21.28/5.48 | (309) ~ (all_0_41_41 = e0)
% 21.28/5.48 | (1650) all_0_46_46 = e0 | all_0_50_50 = e0 | all_0_58_58 = e0
% 21.28/5.48 |
% 21.28/5.48 +-Applying beta-rule and splitting (320), into two cases.
% 21.28/5.48 |-Branch one:
% 21.28/5.48 | (323) all_0_39_39 = e0
% 21.28/5.48 |
% 21.28/5.48 | Combining equations (344,323) yields a new equation:
% 21.28/5.48 | (352) e2 = e0
% 21.28/5.48 |
% 21.28/5.48 | Simplifying 352 yields:
% 21.28/5.48 | (345) e2 = e0
% 21.28/5.48 |
% 21.28/5.48 | Equations (345) can reduce 133 to:
% 21.28/5.48 | (301) $false
% 21.28/5.48 |
% 21.28/5.48 |-The branch is then unsatisfiable
% 21.28/5.48 |-Branch two:
% 21.28/5.48 | (322) ~ (all_0_39_39 = e0)
% 21.28/5.48 | (326) all_0_41_41 = e0
% 21.28/5.48 |
% 21.28/5.48 | Equations (326) can reduce 309 to:
% 21.28/5.48 | (301) $false
% 21.28/5.48 |
% 21.28/5.48 |-The branch is then unsatisfiable
% 21.28/5.48 |-Branch two:
% 21.28/5.48 | (452) ~ (all_0_57_57 = e2)
% 21.28/5.48 | (461) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e1
% 21.28/5.48 |
% 21.28/5.48 +-Applying beta-rule and splitting (169), into two cases.
% 21.28/5.48 |-Branch one:
% 21.28/5.48 | (1380) all_0_40_40 = e2
% 21.28/5.48 |
% 21.28/5.48 | Combining equations (768,1380) yields a new equation:
% 21.28/5.48 | (572) e3 = e2
% 21.28/5.48 |
% 21.28/5.48 | Simplifying 572 yields:
% 21.28/5.48 | (573) e3 = e2
% 21.28/5.48 |
% 21.28/5.48 | Equations (573) can reduce 231 to:
% 21.28/5.48 | (301) $false
% 21.28/5.48 |
% 21.28/5.48 |-The branch is then unsatisfiable
% 21.28/5.48 |-Branch two:
% 21.28/5.48 | (729) ~ (all_0_40_40 = e2)
% 21.28/5.48 | (2741) all_0_45_45 = e2 | all_0_49_49 = e2 | all_0_57_57 = e2
% 21.28/5.48 |
% 21.28/5.49 +-Applying beta-rule and splitting (2741), into two cases.
% 21.28/5.49 |-Branch one:
% 21.28/5.49 | (752) all_0_45_45 = e2
% 21.28/5.49 |
% 21.28/5.49 +-Applying beta-rule and splitting (89), into two cases.
% 21.28/5.49 |-Branch one:
% 21.28/5.49 | (600) all_0_54_54 = e2
% 21.28/5.49 |
% 21.28/5.49 | Combining equations (600,724) yields a new equation:
% 21.28/5.49 | (1250) e2 = e1
% 21.28/5.49 |
% 21.28/5.49 | Simplifying 1250 yields:
% 21.28/5.49 | (928) e2 = e1
% 21.28/5.49 |
% 21.28/5.49 | Equations (928) can reduce 122 to:
% 21.28/5.49 | (301) $false
% 21.28/5.49 |
% 21.28/5.49 |-The branch is then unsatisfiable
% 21.28/5.49 |-Branch two:
% 21.28/5.49 | (283) ~ (all_0_54_54 = e2)
% 21.28/5.49 | (603) all_0_55_55 = e2 | all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2
% 21.28/5.49 |
% 21.31/5.49 | Equations (724) can reduce 283 to:
% 21.31/5.49 | (788) ~ (e2 = e1)
% 21.31/5.49 |
% 21.31/5.49 | Simplifying 788 yields:
% 21.31/5.49 | (122) ~ (e2 = e1)
% 21.31/5.49 |
% 21.31/5.49 +-Applying beta-rule and splitting (211), into two cases.
% 21.31/5.49 |-Branch one:
% 21.31/5.49 | (784) all_0_45_45 = e1
% 21.31/5.49 |
% 21.31/5.49 | Combining equations (752,784) yields a new equation:
% 21.31/5.49 | (1250) e2 = e1
% 21.31/5.49 |
% 21.31/5.49 | Simplifying 1250 yields:
% 21.31/5.49 | (928) e2 = e1
% 21.31/5.49 |
% 21.31/5.49 | Equations (928) can reduce 122 to:
% 21.31/5.49 | (301) $false
% 21.31/5.49 |
% 21.31/5.49 |-The branch is then unsatisfiable
% 21.31/5.49 |-Branch two:
% 21.31/5.49 | (477) ~ (all_0_45_45 = e1)
% 21.31/5.49 | (982) all_0_49_49 = e1 | all_0_57_57 = e1
% 21.31/5.49 |
% 21.31/5.49 +-Applying beta-rule and splitting (982), into two cases.
% 21.31/5.49 |-Branch one:
% 21.31/5.49 | (487) all_0_49_49 = e1
% 21.31/5.49 |
% 21.31/5.49 | Combining equations (491,487) yields a new equation:
% 21.31/5.49 | (858) e4 = e1
% 21.31/5.49 |
% 21.31/5.49 | Simplifying 858 yields:
% 21.31/5.49 | (484) e4 = e1
% 21.31/5.49 |
% 21.31/5.49 | Equations (484) can reduce 114 to:
% 21.31/5.49 | (301) $false
% 21.31/5.49 |
% 21.31/5.49 |-The branch is then unsatisfiable
% 21.31/5.49 |-Branch two:
% 21.31/5.49 | (478) ~ (all_0_49_49 = e1)
% 21.31/5.49 | (476) all_0_57_57 = e1
% 21.31/5.49 |
% 21.31/5.49 | Equations (476) can reduce 726 to:
% 21.31/5.49 | (301) $false
% 21.31/5.49 |
% 21.31/5.49 |-The branch is then unsatisfiable
% 21.31/5.49 |-Branch two:
% 21.31/5.49 | (730) ~ (all_0_45_45 = e2)
% 21.31/5.49 | (2747) all_0_49_49 = e2 | all_0_57_57 = e2
% 21.31/5.49 |
% 21.31/5.49 +-Applying beta-rule and splitting (2747), into two cases.
% 21.31/5.49 |-Branch one:
% 21.31/5.49 | (764) all_0_49_49 = e2
% 21.31/5.49 |
% 21.31/5.49 | Combining equations (491,764) yields a new equation:
% 21.31/5.49 | (553) e4 = e2
% 21.31/5.49 |
% 21.31/5.49 | Simplifying 553 yields:
% 21.31/5.49 | (504) e4 = e2
% 21.31/5.49 |
% 21.31/5.49 | Equations (504) can reduce 42 to:
% 21.31/5.49 | (301) $false
% 21.31/5.49 |
% 21.31/5.49 |-The branch is then unsatisfiable
% 21.31/5.49 |-Branch two:
% 21.31/5.49 | (264) ~ (all_0_49_49 = e2)
% 21.31/5.49 | (458) all_0_57_57 = e2
% 21.31/5.49 |
% 21.31/5.49 | Equations (458) can reduce 452 to:
% 21.31/5.49 | (301) $false
% 21.31/5.49 |
% 21.31/5.49 |-The branch is then unsatisfiable
% 21.31/5.49 |-Branch two:
% 21.31/5.49 | (680) ~ (all_0_42_42 = e0)
% 21.31/5.49 | (1978) all_0_43_43 = e0 | all_0_44_44 = e0 | all_0_46_46 = e0
% 21.31/5.49 |
% 21.31/5.49 +-Applying beta-rule and splitting (1978), into two cases.
% 21.31/5.49 |-Branch one:
% 21.31/5.49 | (513) all_0_43_43 = e0
% 21.31/5.49 |
% 21.31/5.49 | Combining equations (700,513) yields a new equation:
% 21.31/5.49 | (414) e3 = e0
% 21.31/5.49 |
% 21.31/5.49 | Simplifying 414 yields:
% 21.31/5.49 | (415) e3 = e0
% 21.31/5.49 |
% 21.31/5.49 | Equations (415) can reduce 81 to:
% 21.31/5.49 | (301) $false
% 21.31/5.49 |
% 21.31/5.49 |-The branch is then unsatisfiable
% 21.31/5.49 |-Branch two:
% 21.31/5.49 | (384) ~ (all_0_43_43 = e0)
% 21.31/5.49 | (1990) all_0_44_44 = e0 | all_0_46_46 = e0
% 21.31/5.49 |
% 21.31/5.49 +-Applying beta-rule and splitting (1990), into two cases.
% 21.31/5.49 |-Branch one:
% 21.31/5.49 | (383) all_0_44_44 = e0
% 21.31/5.49 |
% 21.31/5.49 | Equations (383) can reduce 525 to:
% 21.31/5.49 | (301) $false
% 21.31/5.49 |
% 21.31/5.49 |-The branch is then unsatisfiable
% 21.31/5.49 |-Branch two:
% 21.31/5.49 | (525) ~ (all_0_44_44 = e0)
% 21.31/5.49 | (1651) all_0_46_46 = e0
% 21.31/5.49 |
% 21.31/5.49 | Combining equations (1056,1651) yields a new equation:
% 21.31/5.49 | (316) e4 = e0
% 21.31/5.49 |
% 21.31/5.49 | Simplifying 316 yields:
% 21.31/5.49 | (317) e4 = e0
% 21.31/5.49 |
% 21.31/5.49 | Equations (317) can reduce 43 to:
% 21.31/5.49 | (301) $false
% 21.31/5.49 |
% 21.31/5.49 |-The branch is then unsatisfiable
% 21.31/5.49 |-Branch two:
% 21.31/5.49 | (1083) ~ (all_0_46_46 = e4)
% 21.31/5.49 | (1084) all_0_50_50 = e4 | all_0_58_58 = e4
% 21.31/5.49 |
% 21.31/5.49 +-Applying beta-rule and splitting (1084), into two cases.
% 21.31/5.49 |-Branch one:
% 21.31/5.49 | (335) all_0_50_50 = e4
% 21.31/5.49 |
% 21.31/5.49 | Combining equations (331,335) yields a new equation:
% 21.31/5.49 | (504) e4 = e2
% 21.31/5.49 |
% 21.31/5.49 | Equations (504) can reduce 42 to:
% 21.31/5.49 | (301) $false
% 21.31/5.49 |
% 21.31/5.49 |-The branch is then unsatisfiable
% 21.31/5.49 |-Branch two:
% 21.31/5.49 | (359) ~ (all_0_50_50 = e4)
% 21.31/5.49 | (304) all_0_58_58 = e4
% 21.31/5.49 |
% 21.31/5.49 | Combining equations (366,304) yields a new equation:
% 21.31/5.49 | (420) e4 = e3
% 21.31/5.49 |
% 21.31/5.49 | Equations (420) can reduce 199 to:
% 21.31/5.49 | (301) $false
% 21.31/5.49 |
% 21.31/5.49 |-The branch is then unsatisfiable
% 21.31/5.49 |-Branch two:
% 21.31/5.49 | (540) ~ (all_0_38_38 = e4)
% 21.31/5.49 | (315) all_0_38_38 = e0
% 21.31/5.49 |
% 21.31/5.49 | Equations (315) can reduce 139 to:
% 21.31/5.49 | (679) ~ (all_0_42_42 = e0)
% 21.31/5.49 |
% 21.31/5.49 | Simplifying 679 yields:
% 21.31/5.49 | (680) ~ (all_0_42_42 = e0)
% 21.31/5.49 |
% 21.31/5.49 | Equations (315) can reduce 88 to:
% 21.31/5.49 | (681) ~ (all_0_54_54 = e0)
% 21.31/5.49 |
% 21.31/5.49 | Simplifying 681 yields:
% 21.31/5.49 | (682) ~ (all_0_54_54 = e0)
% 21.31/5.49 |
% 21.31/5.49 | Equations (315) can reduce 7 to:
% 21.31/5.49 | (392) ~ (e3 = e0)
% 21.31/5.49 |
% 21.31/5.49 | Simplifying 392 yields:
% 21.31/5.49 | (81) ~ (e3 = e0)
% 21.31/5.49 |
% 21.31/5.49 | From (315) and (59) follows:
% 21.31/5.49 | (687) op(e4, e4) = e0
% 21.31/5.49 |
% 21.31/5.49 +-Applying beta-rule and splitting (170), into two cases.
% 21.31/5.49 |-Branch one:
% 21.31/5.49 | (319) ~ (all_0_38_38 = e0)
% 21.31/5.49 |
% 21.31/5.49 | Equations (315) can reduce 319 to:
% 21.31/5.49 | (301) $false
% 21.31/5.49 |
% 21.31/5.49 |-The branch is then unsatisfiable
% 21.31/5.49 |-Branch two:
% 21.31/5.49 | (315) all_0_38_38 = e0
% 21.31/5.49 | (545) all_0_41_41 = e4
% 21.31/5.49 |
% 21.31/5.49 | From (545) and (256) follows:
% 21.31/5.49 | (693) op(e4, e4) = all_0_5_5
% 21.31/5.49 |
% 21.31/5.49 +-Applying beta-rule and splitting (30), into two cases.
% 21.31/5.49 |-Branch one:
% 21.31/5.49 | (976) all_0_42_42 = e0
% 21.31/5.49 |
% 21.31/5.49 | Equations (976) can reduce 680 to:
% 21.31/5.49 | (301) $false
% 21.31/5.49 |
% 21.31/5.49 |-The branch is then unsatisfiable
% 21.31/5.49 |-Branch two:
% 21.31/5.49 | (680) ~ (all_0_42_42 = e0)
% 21.31/5.49 | (1978) all_0_43_43 = e0 | all_0_44_44 = e0 | all_0_46_46 = e0
% 21.31/5.49 |
% 21.31/5.49 +-Applying beta-rule and splitting (1978), into two cases.
% 21.31/5.49 |-Branch one:
% 21.31/5.49 | (513) all_0_43_43 = e0
% 21.31/5.49 |
% 21.31/5.49 | Combining equations (700,513) yields a new equation:
% 21.31/5.49 | (414) e3 = e0
% 21.31/5.49 |
% 21.31/5.49 | Simplifying 414 yields:
% 21.31/5.49 | (415) e3 = e0
% 21.31/5.49 |
% 21.31/5.49 | Equations (415) can reduce 81 to:
% 21.31/5.49 | (301) $false
% 21.31/5.49 |
% 21.31/5.49 |-The branch is then unsatisfiable
% 21.31/5.49 |-Branch two:
% 21.31/5.49 | (384) ~ (all_0_43_43 = e0)
% 21.31/5.49 | (1990) all_0_44_44 = e0 | all_0_46_46 = e0
% 21.31/5.49 |
% 21.31/5.49 +-Applying beta-rule and splitting (1990), into two cases.
% 21.31/5.49 |-Branch one:
% 21.31/5.49 | (383) all_0_44_44 = e0
% 21.31/5.49 |
% 21.31/5.49 | Equations (383) can reduce 525 to:
% 21.31/5.49 | (301) $false
% 21.31/5.49 |
% 21.31/5.49 |-The branch is then unsatisfiable
% 21.31/5.49 |-Branch two:
% 21.31/5.49 | (525) ~ (all_0_44_44 = e0)
% 21.31/5.49 | (1651) all_0_46_46 = e0
% 21.31/5.49 |
% 21.31/5.49 | Equations (1651) can reduce 14 to:
% 21.31/5.49 | (680) ~ (all_0_42_42 = e0)
% 21.31/5.49 |
% 21.31/5.49 | Equations (1651) can reduce 18 to:
% 21.31/5.49 | (525) ~ (all_0_44_44 = e0)
% 21.31/5.49 |
% 21.31/5.49 | Equations (1651) can reduce 34 to:
% 21.31/5.49 | (163) ~ (all_0_45_45 = e0)
% 21.31/5.49 |
% 21.31/5.49 | Equations (1651) can reduce 583 to:
% 21.31/5.49 | (392) ~ (e3 = e0)
% 21.31/5.49 |
% 21.31/5.49 | Simplifying 392 yields:
% 21.31/5.49 | (81) ~ (e3 = e0)
% 21.31/5.49 |
% 21.31/5.49 | Instantiating formula (151) with e4, e4, e0, all_0_5_5 and discharging atoms op(e4, e4) = all_0_5_5, op(e4, e4) = e0, yields:
% 21.31/5.49 | (802) all_0_5_5 = e0
% 21.31/5.49 |
% 21.31/5.49 | From (802) and (693) follows:
% 21.31/5.49 | (687) op(e4, e4) = e0
% 21.31/5.49 |
% 21.31/5.49 +-Applying beta-rule and splitting (186), into two cases.
% 21.31/5.49 |-Branch one:
% 21.31/5.49 | (979) all_0_42_42 = e1
% 21.31/5.49 |
% 21.31/5.49 | Equations (979) can reduce 84 to:
% 21.31/5.49 | (3830) ~ (all_0_44_44 = e1)
% 21.31/5.49 |
% 21.31/5.49 | Simplifying 3830 yields:
% 21.31/5.49 | (55) ~ (all_0_44_44 = e1)
% 21.31/5.49 |
% 21.31/5.49 | Equations (979) can reduce 208 to:
% 21.31/5.49 | (3832) ~ (all_0_45_45 = e1)
% 21.31/5.49 |
% 21.31/5.49 | Simplifying 3832 yields:
% 21.31/5.49 | (477) ~ (all_0_45_45 = e1)
% 21.31/5.49 |
% 21.31/5.49 | Equations (979) can reduce 181 to:
% 21.31/5.49 | (1565) ~ (all_0_54_54 = e1)
% 21.31/5.49 |
% 21.31/5.49 | Simplifying 1565 yields:
% 21.31/5.49 | (1566) ~ (all_0_54_54 = e1)
% 21.31/5.49 |
% 21.31/5.49 | Equations (979) can reduce 680 to:
% 21.31/5.49 | (247) ~ (e1 = e0)
% 21.31/5.49 |
% 21.31/5.49 | From (979) and (159) follows:
% 21.31/5.49 | (1567) op(e1, e4) = all_0_8_8
% 21.31/5.49 |
% 21.31/5.49 +-Applying beta-rule and splitting (160), into two cases.
% 21.31/5.49 |-Branch one:
% 21.31/5.49 | (752) all_0_45_45 = e2
% 21.31/5.49 |
% 21.31/5.49 | Combining equations (752,5007) yields a new equation:
% 21.31/5.49 | (1726) all_0_4_4 = e2
% 21.31/5.49 |
% 21.31/5.49 | Equations (752) can reduce 38 to:
% 21.31/5.49 | (261) ~ (all_0_44_44 = e2)
% 21.31/5.49 |
% 21.31/5.49 | Equations (752) can reduce 75 to:
% 21.31/5.49 | (451) ~ (all_0_57_57 = e2)
% 21.31/5.49 |
% 21.31/5.49 | Simplifying 451 yields:
% 21.31/5.49 | (452) ~ (all_0_57_57 = e2)
% 21.31/5.49 |
% 21.31/5.49 | Equations (752) can reduce 770 to:
% 21.31/5.49 | (284) ~ (e3 = e2)
% 21.31/5.49 |
% 21.31/5.49 | Simplifying 284 yields:
% 21.31/5.49 | (231) ~ (e3 = e2)
% 21.31/5.49 |
% 21.31/5.49 | Equations (752) can reduce 477 to:
% 21.31/5.49 | (122) ~ (e2 = e1)
% 21.31/5.49 |
% 21.31/5.49 | Equations (752) can reduce 163 to:
% 21.31/5.49 | (133) ~ (e2 = e0)
% 21.31/5.49 |
% 21.31/5.49 | From (752) and (44) follows:
% 21.31/5.49 | (1557) op(e2, e1) = all_0_13_13
% 21.31/5.49 |
% 21.31/5.49 +-Applying beta-rule and splitting (121), into two cases.
% 21.31/5.49 |-Branch one:
% 21.31/5.49 | (747) all_0_44_44 = e2
% 21.31/5.49 |
% 21.31/5.49 | Equations (747) can reduce 261 to:
% 21.31/5.49 | (301) $false
% 21.31/5.49 |
% 21.31/5.49 |-The branch is then unsatisfiable
% 21.31/5.49 |-Branch two:
% 21.31/5.49 | (261) ~ (all_0_44_44 = e2)
% 21.31/5.49 | (3570) all_0_48_48 = e2 | all_0_53_53 = e2 | all_0_56_56 = e2
% 21.31/5.49 |
% 21.31/5.49 +-Applying beta-rule and splitting (239), into two cases.
% 21.31/5.49 |-Branch one:
% 21.31/5.49 | (747) all_0_44_44 = e2
% 21.31/5.49 |
% 21.31/5.49 | Equations (747) can reduce 261 to:
% 21.31/5.49 | (301) $false
% 21.31/5.49 |
% 21.31/5.49 |-The branch is then unsatisfiable
% 21.31/5.49 |-Branch two:
% 21.31/5.49 | (261) ~ (all_0_44_44 = e2)
% 21.31/5.49 | (1634) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e0
% 21.31/5.49 |
% 21.31/5.49 +-Applying beta-rule and splitting (1634), into two cases.
% 21.31/5.49 |-Branch one:
% 21.31/5.49 | (403) all_0_44_44 = e4
% 21.31/5.49 |
% 21.31/5.49 | Combining equations (403,5464) yields a new equation:
% 21.31/5.49 | (1724) all_0_28_28 = e4
% 21.31/5.49 |
% 21.31/5.49 | Equations (403) can reduce 55 to:
% 21.31/5.49 | (114) ~ (e4 = e1)
% 21.31/5.49 |
% 21.31/5.49 | Equations (403) can reduce 525 to:
% 21.31/5.49 | (43) ~ (e4 = e0)
% 21.31/5.49 |
% 21.31/5.49 | From (403) and (185) follows:
% 21.31/5.49 | (1683) op(e4, e2) = all_0_11_11
% 21.31/5.49 |
% 21.31/5.49 +-Applying beta-rule and splitting (19), into two cases.
% 21.31/5.49 |-Branch one:
% 21.31/5.49 | (458) all_0_57_57 = e2
% 21.31/5.49 |
% 21.31/5.49 | Equations (458) can reduce 452 to:
% 21.31/5.49 | (301) $false
% 21.31/5.49 |
% 21.31/5.49 |-The branch is then unsatisfiable
% 21.31/5.49 |-Branch two:
% 21.31/5.49 | (452) ~ (all_0_57_57 = e2)
% 21.31/5.49 | (461) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e1
% 21.31/5.49 |
% 21.31/5.49 +-Applying beta-rule and splitting (179), into two cases.
% 21.31/5.49 |-Branch one:
% 21.31/5.49 | (637) all_0_56_56 = e2
% 21.31/5.49 |
% 21.31/5.49 | Equations (637) can reduce 190 to:
% 21.31/5.49 | (283) ~ (all_0_54_54 = e2)
% 21.31/5.49 |
% 21.31/5.49 | Equations (637) can reduce 243 to:
% 21.31/5.49 | (451) ~ (all_0_57_57 = e2)
% 21.31/5.49 |
% 21.31/5.49 | Simplifying 451 yields:
% 21.31/5.49 | (452) ~ (all_0_57_57 = e2)
% 21.31/5.49 |
% 21.31/5.49 | Equations (637) can reduce 596 to:
% 21.31/5.49 | (284) ~ (e3 = e2)
% 21.31/5.49 |
% 21.31/5.49 | Simplifying 284 yields:
% 21.31/5.49 | (231) ~ (e3 = e2)
% 21.31/5.49 |
% 21.31/5.49 +-Applying beta-rule and splitting (57), into two cases.
% 21.31/5.49 |-Branch one:
% 21.31/5.49 | (600) all_0_54_54 = e2
% 21.31/5.49 |
% 21.31/5.49 | Equations (600) can reduce 283 to:
% 21.31/5.49 | (301) $false
% 21.31/5.49 |
% 21.31/5.49 |-The branch is then unsatisfiable
% 21.31/5.49 |-Branch two:
% 21.31/5.49 | (283) ~ (all_0_54_54 = e2)
% 21.31/5.49 | (653) all_0_54_54 = e4 | all_0_54_54 = e1 | all_0_54_54 = e0
% 21.31/5.49 |
% 21.31/5.49 +-Applying beta-rule and splitting (9), into two cases.
% 21.31/5.49 |-Branch one:
% 21.31/5.49 | (724) all_0_54_54 = e1
% 21.31/5.49 |
% 21.31/5.49 | Equations (724) can reduce 1566 to:
% 21.31/5.49 | (301) $false
% 21.31/5.49 |
% 21.31/5.49 |-The branch is then unsatisfiable
% 21.31/5.49 |-Branch two:
% 21.31/5.49 | (1566) ~ (all_0_54_54 = e1)
% 21.31/5.49 | (1691) all_0_55_55 = e1 | all_0_57_57 = e1
% 21.31/5.49 |
% 21.31/5.49 +-Applying beta-rule and splitting (1691), into two cases.
% 21.31/5.49 |-Branch one:
% 21.31/5.49 | (1020) all_0_55_55 = e1
% 21.31/5.49 |
% 21.31/5.49 | Combining equations (520,1020) yields a new equation:
% 21.31/5.49 | (935) e1 = e0
% 21.31/5.49 |
% 21.31/5.49 | Equations (935) can reduce 247 to:
% 21.31/5.49 | (301) $false
% 21.31/5.49 |
% 21.31/5.49 |-The branch is then unsatisfiable
% 21.31/5.49 |-Branch two:
% 21.31/5.49 | (1696) ~ (all_0_55_55 = e1)
% 21.31/5.49 | (476) all_0_57_57 = e1
% 21.31/5.49 |
% 21.31/5.49 | Equations (476) can reduce 223 to:
% 21.31/5.49 | (1566) ~ (all_0_54_54 = e1)
% 21.31/5.49 |
% 21.31/5.49 | Equations (476) can reduce 425 to:
% 21.31/5.49 | (786) ~ (e3 = e1)
% 21.31/5.49 |
% 21.31/5.49 | Simplifying 786 yields:
% 21.31/5.49 | (234) ~ (e3 = e1)
% 21.31/5.49 |
% 21.31/5.49 | Equations (476) can reduce 452 to:
% 21.31/5.49 | (788) ~ (e2 = e1)
% 21.31/5.49 |
% 21.31/5.49 | Simplifying 788 yields:
% 21.31/5.49 | (122) ~ (e2 = e1)
% 21.31/5.49 |
% 21.31/5.49 +-Applying beta-rule and splitting (653), into two cases.
% 21.31/5.49 |-Branch one:
% 21.31/5.49 | (717) all_0_54_54 = e4
% 21.31/5.49 |
% 21.31/5.49 | Equations (717) can reduce 206 to:
% 21.31/5.49 | (199) ~ (e4 = e3)
% 21.31/5.49 |
% 21.31/5.49 | Equations (717) can reduce 283 to:
% 21.31/5.49 | (42) ~ (e4 = e2)
% 21.31/5.49 |
% 21.31/5.49 | Equations (717) can reduce 1566 to:
% 21.31/5.49 | (114) ~ (e4 = e1)
% 21.31/5.49 |
% 21.31/5.49 | Instantiating formula (151) with e4, e2, all_0_11_11, e1 and discharging atoms op(e4, e2) = all_0_11_11, op(e4, e2) = e1, yields:
% 21.31/5.49 | (1721) all_0_11_11 = e1
% 21.31/5.49 |
% 21.31/5.49 | Instantiating formula (151) with e2, e1, all_0_13_13, e4 and discharging atoms op(e2, e1) = all_0_13_13, op(e2, e1) = e4, yields:
% 21.31/5.49 | (1729) all_0_13_13 = e4
% 21.31/5.49 |
% 21.31/5.49 | Instantiating formula (151) with e1, e4, all_0_8_8, e2 and discharging atoms op(e1, e4) = all_0_8_8, op(e1, e4) = e2, yields:
% 21.31/5.49 | (1730) all_0_8_8 = e2
% 21.31/5.49 |
% 21.31/5.49 +-Applying beta-rule and splitting (128), into two cases.
% 21.31/5.49 |-Branch one:
% 21.31/5.49 | (837) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)) | (all_0_42_42 = e2 & ~ (all_0_44_44 = e4))
% 21.31/5.50 |
% 21.31/5.50 +-Applying beta-rule and splitting (837), into two cases.
% 21.31/5.50 |-Branch one:
% 21.31/5.50 | (838) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1))
% 21.31/5.50 |
% 21.31/5.50 +-Applying beta-rule and splitting (838), into two cases.
% 21.31/5.50 |-Branch one:
% 21.31/5.50 | (839) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56))
% 21.31/5.50 |
% 21.31/5.50 +-Applying beta-rule and splitting (839), into two cases.
% 21.31/5.50 |-Branch one:
% 21.31/5.50 | (840) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55))
% 21.31/5.50 |
% 21.31/5.50 +-Applying beta-rule and splitting (840), into two cases.
% 21.31/5.50 |-Branch one:
% 21.31/5.50 | (841) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54))
% 21.31/5.50 |
% 21.31/5.50 +-Applying beta-rule and splitting (841), into two cases.
% 21.31/5.50 |-Branch one:
% 21.31/5.50 | (842) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53))
% 21.31/5.50 |
% 21.31/5.50 +-Applying beta-rule and splitting (842), into two cases.
% 21.31/5.50 |-Branch one:
% 21.31/5.50 | (843) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52))
% 21.31/5.50 |
% 21.31/5.50 +-Applying beta-rule and splitting (843), into two cases.
% 21.31/5.50 |-Branch one:
% 21.31/5.50 | (844) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51))
% 21.31/5.50 |
% 21.31/5.50 +-Applying beta-rule and splitting (844), into two cases.
% 21.31/5.50 |-Branch one:
% 21.31/5.50 | (845) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56))
% 21.31/5.50 |
% 21.31/5.50 +-Applying beta-rule and splitting (845), into two cases.
% 21.31/5.50 |-Branch one:
% 21.31/5.50 | (846) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53))
% 21.31/5.50 |
% 21.31/5.50 +-Applying beta-rule and splitting (846), into two cases.
% 21.31/5.50 |-Branch one:
% 21.31/5.50 | (847) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47))
% 21.31/5.50 |
% 21.31/5.50 +-Applying beta-rule and splitting (847), into two cases.
% 21.31/5.50 |-Branch one:
% 21.31/5.50 | (848) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55))
% 21.31/5.50 |
% 21.31/5.50 +-Applying beta-rule and splitting (848), into two cases.
% 21.31/5.50 |-Branch one:
% 21.31/5.50 | (849) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52))
% 21.31/5.50 |
% 21.31/5.50 +-Applying beta-rule and splitting (849), into two cases.
% 21.31/5.50 |-Branch one:
% 21.31/5.50 | (850) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47))
% 21.31/5.50 |
% 21.31/5.50 +-Applying beta-rule and splitting (850), into two cases.
% 21.31/5.50 |-Branch one:
% 21.31/5.50 | (851) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42))
% 21.31/5.50 |
% 21.31/5.50 +-Applying beta-rule and splitting (851), into two cases.
% 21.31/5.50 |-Branch one:
% 21.31/5.50 | (852) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54))
% 21.31/5.50 |
% 21.31/5.50 +-Applying beta-rule and splitting (852), into two cases.
% 21.31/5.50 |-Branch one:
% 21.31/5.50 | (853) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51))
% 21.31/5.50 |
% 21.31/5.50 +-Applying beta-rule and splitting (853), into two cases.
% 21.31/5.50 |-Branch one:
% 21.31/5.50 | (854) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)
% 21.31/5.50 |
% 21.31/5.50 | Applying alpha-rule on (854) yields:
% 21.31/5.50 | (855) all_0_2_2 = e4
% 21.31/5.50 | (856) ~ (all_0_1_1 = e3)
% 21.31/5.50 | (857) ~ (all_0_39_39 = all_0_42_42)
% 21.31/5.50 |
% 21.31/5.50 | Combining equations (855,812) yields a new equation:
% 21.31/5.50 | (858) e4 = e1
% 21.31/5.50 |
% 21.31/5.50 | Simplifying 858 yields:
% 21.31/5.50 | (484) e4 = e1
% 21.31/5.50 |
% 21.31/5.50 | Equations (484) can reduce 114 to:
% 21.31/5.50 | (301) $false
% 21.31/5.50 |
% 21.31/5.50 |-The branch is then unsatisfiable
% 21.31/5.50 |-Branch two:
% 21.31/5.50 | (861) all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)
% 21.31/5.50 |
% 21.31/5.50 | Applying alpha-rule on (861) yields:
% 21.31/5.50 | (862) all_0_4_4 = e4
% 21.31/5.50 | (863) ~ (all_0_3_3 = e1)
% 21.31/5.50 | (864) ~ (all_0_40_40 = all_0_51_51)
% 21.31/5.50 |
% 21.31/5.50 | Combining equations (862,1726) yields a new equation:
% 21.31/5.50 | (553) e4 = e2
% 21.31/5.50 |
% 21.31/5.50 | Simplifying 553 yields:
% 21.31/5.50 | (504) e4 = e2
% 21.31/5.50 |
% 21.31/5.50 | Equations (504) can reduce 42 to:
% 21.31/5.50 | (301) $false
% 21.31/5.50 |
% 21.31/5.50 |-The branch is then unsatisfiable
% 21.31/5.50 |-Branch two:
% 21.31/5.50 | (868) all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)
% 21.31/5.50 |
% 21.31/5.50 | Applying alpha-rule on (868) yields:
% 21.31/5.50 | (869) all_0_6_6 = e4
% 21.31/5.50 | (870) ~ (all_0_5_5 = e0)
% 21.31/5.50 | (871) ~ (all_0_41_41 = all_0_54_54)
% 21.31/5.50 |
% 21.31/5.50 | Equations (545,717) can reduce 871 to:
% 21.31/5.50 | (301) $false
% 21.31/5.50 |
% 21.31/5.50 |-The branch is then unsatisfiable
% 21.31/5.50 |-Branch two:
% 21.31/5.50 | (873) all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)
% 21.31/5.50 |
% 21.31/5.50 | Applying alpha-rule on (873) yields:
% 21.31/5.50 | (874) all_0_8_8 = e3
% 21.31/5.50 | (875) ~ (all_0_7_7 = e4)
% 21.31/5.50 | (857) ~ (all_0_39_39 = all_0_42_42)
% 21.31/5.50 |
% 21.31/5.50 | Combining equations (874,1730) yields a new equation:
% 21.31/5.50 | (572) e3 = e2
% 21.31/5.50 |
% 21.31/5.50 | Simplifying 572 yields:
% 21.31/5.50 | (573) e3 = e2
% 21.31/5.50 |
% 21.31/5.50 | Equations (573) can reduce 231 to:
% 21.31/5.50 | (301) $false
% 21.31/5.50 |
% 21.31/5.50 |-The branch is then unsatisfiable
% 21.31/5.50 |-Branch two:
% 21.31/5.50 | (880) all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)
% 21.31/5.50 |
% 21.31/5.50 | Applying alpha-rule on (880) yields:
% 21.31/5.50 | (881) all_0_11_11 = e3
% 21.31/5.50 | (882) ~ (all_0_10_10 = e2)
% 21.31/5.50 | (883) ~ (all_0_44_44 = all_0_47_47)
% 21.31/5.50 |
% 21.31/5.50 | Combining equations (881,1721) yields a new equation:
% 21.31/5.50 | (707) e3 = e1
% 21.31/5.50 |
% 21.31/5.50 | Simplifying 707 yields:
% 21.31/5.50 | (708) e3 = e1
% 21.31/5.50 |
% 21.31/5.50 | Equations (708) can reduce 234 to:
% 21.31/5.50 | (301) $false
% 21.31/5.50 |
% 21.31/5.50 |-The branch is then unsatisfiable
% 21.31/5.50 |-Branch two:
% 21.31/5.50 | (886) all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)
% 21.31/5.50 |
% 21.31/5.50 | Applying alpha-rule on (886) yields:
% 21.31/5.50 | (887) all_0_13_13 = e3
% 21.31/5.50 | (888) ~ (all_0_12_12 = e1)
% 21.31/5.50 | (889) ~ (all_0_45_45 = all_0_52_52)
% 21.31/5.50 |
% 21.31/5.50 | Combining equations (887,1729) yields a new equation:
% 21.31/5.50 | (420) e4 = e3
% 21.31/5.50 |
% 21.31/5.50 | Equations (420) can reduce 199 to:
% 21.31/5.50 | (301) $false
% 21.31/5.50 |
% 21.31/5.50 |-The branch is then unsatisfiable
% 21.31/5.50 |-Branch two:
% 21.31/5.50 | (893) all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)
% 21.31/5.50 |
% 21.31/5.50 | Applying alpha-rule on (893) yields:
% 21.31/5.50 | (894) all_0_15_15 = e3
% 21.31/5.50 | (895) ~ (all_0_14_14 = e0)
% 21.31/5.50 | (896) ~ (all_0_46_46 = all_0_55_55)
% 21.31/5.50 |
% 21.31/5.50 | Equations (1651,520) can reduce 896 to:
% 21.31/5.50 | (301) $false
% 21.31/5.50 |
% 21.31/5.50 |-The branch is then unsatisfiable
% 21.31/5.50 |-Branch two:
% 21.31/5.50 | (900) all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)
% 21.31/5.50 |
% 21.31/5.50 | Applying alpha-rule on (900) yields:
% 21.31/5.50 | (901) all_0_17_17 = e2
% 21.31/5.50 | (902) ~ (all_0_16_16 = e3)
% 21.31/5.50 | (883) ~ (all_0_44_44 = all_0_47_47)
% 21.31/5.50 |
% 21.31/5.50 | Combining equations (901,827) yields a new equation:
% 21.31/5.50 | (504) e4 = e2
% 21.31/5.50 |
% 21.31/5.50 | Equations (504) can reduce 42 to:
% 21.31/5.50 | (301) $false
% 21.31/5.50 |
% 21.31/5.50 |-The branch is then unsatisfiable
% 21.31/5.50 |-Branch two:
% 21.31/5.50 | (906) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)
% 21.31/5.50 |
% 21.31/5.50 | Applying alpha-rule on (906) yields:
% 21.31/5.50 | (907) all_0_20_20 = e2
% 21.31/5.50 | (908) ~ (all_0_19_19 = e1)
% 21.31/5.50 | (909) ~ (all_0_49_49 = all_0_53_53)
% 21.31/5.50 |
% 21.31/5.50 | Combining equations (907,808) yields a new equation:
% 21.31/5.50 | (573) e3 = e2
% 21.31/5.50 |
% 21.31/5.50 | Equations (573) can reduce 231 to:
% 21.31/5.50 | (301) $false
% 21.31/5.50 |
% 21.31/5.50 |-The branch is then unsatisfiable
% 21.31/5.50 |-Branch two:
% 21.31/5.50 | (912) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)
% 21.31/5.50 |
% 21.31/5.50 | Applying alpha-rule on (912) yields:
% 21.31/5.50 | (913) all_0_22_22 = e2
% 21.31/5.50 | (914) ~ (all_0_21_21 = e0)
% 21.31/5.50 | (915) ~ (all_0_50_50 = all_0_56_56)
% 21.31/5.50 |
% 21.31/5.50 | Equations (331,637) can reduce 915 to:
% 21.31/5.50 | (301) $false
% 21.31/5.50 |
% 21.31/5.50 |-The branch is then unsatisfiable
% 21.31/5.50 |-Branch two:
% 21.31/5.50 | (918) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)
% 21.31/5.50 |
% 21.31/5.50 | Applying alpha-rule on (918) yields:
% 21.31/5.50 | (919) all_0_24_24 = e1
% 21.31/5.50 | (920) ~ (all_0_23_23 = e4)
% 21.31/5.50 | (864) ~ (all_0_40_40 = all_0_51_51)
% 21.31/5.50 |
% 21.31/5.50 | Combining equations (919,290) yields a new equation:
% 21.31/5.50 | (708) e3 = e1
% 21.31/5.50 |
% 21.31/5.50 | Equations (708) can reduce 234 to:
% 21.31/5.50 | (301) $false
% 21.31/5.50 |
% 21.31/5.50 |-The branch is then unsatisfiable
% 21.31/5.50 |-Branch two:
% 21.31/5.50 | (924) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)
% 21.31/5.50 |
% 21.31/5.50 | Applying alpha-rule on (924) yields:
% 21.31/5.50 | (925) all_0_26_26 = e1
% 21.31/5.50 | (926) ~ (all_0_25_25 = e3)
% 21.31/5.50 | (889) ~ (all_0_45_45 = all_0_52_52)
% 21.31/5.50 |
% 21.31/5.50 | Combining equations (925,826) yields a new equation:
% 21.31/5.50 | (928) e2 = e1
% 21.31/5.50 |
% 21.31/5.50 | Equations (928) can reduce 122 to:
% 21.31/5.50 | (301) $false
% 21.31/5.50 |
% 21.31/5.50 |-The branch is then unsatisfiable
% 21.31/5.50 |-Branch two:
% 21.31/5.50 | (930) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)
% 21.31/5.50 |
% 21.31/5.50 | Applying alpha-rule on (930) yields:
% 21.31/5.50 | (931) all_0_28_28 = e1
% 21.31/5.50 | (932) ~ (all_0_27_27 = e2)
% 21.35/5.50 | (909) ~ (all_0_49_49 = all_0_53_53)
% 21.35/5.50 |
% 21.35/5.50 | Combining equations (931,1724) yields a new equation:
% 21.35/5.50 | (484) e4 = e1
% 21.35/5.50 |
% 21.35/5.50 | Equations (484) can reduce 114 to:
% 21.35/5.50 | (301) $false
% 21.35/5.50 |
% 21.35/5.50 |-The branch is then unsatisfiable
% 21.35/5.50 |-Branch two:
% 21.35/5.50 | (937) all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)
% 21.35/5.50 |
% 21.35/5.50 | Applying alpha-rule on (937) yields:
% 21.35/5.50 | (938) all_0_30_30 = e0
% 21.35/5.50 | (939) ~ (all_0_29_29 = e4)
% 21.35/5.50 | (871) ~ (all_0_41_41 = all_0_54_54)
% 21.35/5.50 |
% 21.35/5.50 | Equations (545,717) can reduce 871 to:
% 21.35/5.50 | (301) $false
% 21.35/5.50 |
% 21.35/5.50 |-The branch is then unsatisfiable
% 21.35/5.50 |-Branch two:
% 21.35/5.50 | (944) all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)
% 21.35/5.50 |
% 21.35/5.50 | Applying alpha-rule on (944) yields:
% 21.35/5.50 | (945) all_0_32_32 = e0
% 21.35/5.50 | (946) ~ (all_0_31_31 = e3)
% 21.35/5.50 | (896) ~ (all_0_46_46 = all_0_55_55)
% 21.35/5.50 |
% 21.35/5.50 | Equations (1651,520) can reduce 896 to:
% 21.35/5.50 | (301) $false
% 21.35/5.50 |
% 21.35/5.50 |-The branch is then unsatisfiable
% 21.35/5.50 |-Branch two:
% 21.35/5.50 | (949) all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)
% 21.35/5.50 |
% 21.35/5.50 | Applying alpha-rule on (949) yields:
% 21.35/5.50 | (950) all_0_34_34 = e0
% 21.35/5.50 | (951) ~ (all_0_33_33 = e2)
% 21.35/5.50 | (915) ~ (all_0_50_50 = all_0_56_56)
% 21.35/5.50 |
% 21.35/5.50 | Equations (331,637) can reduce 915 to:
% 21.35/5.50 | (301) $false
% 21.35/5.50 |
% 21.35/5.50 |-The branch is then unsatisfiable
% 21.35/5.50 |-Branch two:
% 21.35/5.50 | (956) all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)
% 21.35/5.50 |
% 21.35/5.50 | Applying alpha-rule on (956) yields:
% 21.35/5.50 | (957) all_0_36_36 = e0
% 21.35/5.50 | (958) ~ (all_0_35_35 = e1)
% 21.35/5.50 | (726) ~ (all_0_57_57 = e1)
% 21.35/5.50 |
% 21.35/5.50 | Equations (476) can reduce 726 to:
% 21.35/5.50 | (301) $false
% 21.35/5.50 |
% 21.35/5.50 |-The branch is then unsatisfiable
% 21.35/5.50 |-Branch two:
% 21.35/5.50 | (963) all_0_42_42 = e2 & ~ (all_0_44_44 = e4)
% 21.35/5.50 |
% 21.35/5.50 | Applying alpha-rule on (963) yields:
% 21.35/5.50 | (737) all_0_42_42 = e2
% 21.35/5.50 | (407) ~ (all_0_44_44 = e4)
% 21.35/5.50 |
% 21.35/5.50 | Combining equations (979,737) yields a new equation:
% 21.35/5.50 | (928) e2 = e1
% 21.35/5.50 |
% 21.35/5.50 | Equations (928) can reduce 122 to:
% 21.35/5.50 | (301) $false
% 21.35/5.50 |
% 21.35/5.50 |-The branch is then unsatisfiable
% 21.35/5.50 |-Branch two:
% 21.35/5.50 | (969) all_0_53_53 = e4 & ~ (all_0_51_51 = e2)
% 21.35/5.51 |
% 21.35/5.51 | Applying alpha-rule on (969) yields:
% 21.35/5.51 | (409) all_0_53_53 = e4
% 21.35/5.51 | (971) ~ (all_0_51_51 = e2)
% 21.35/5.51 |
% 21.35/5.51 | Combining equations (419,409) yields a new equation:
% 21.35/5.51 | (420) e4 = e3
% 21.35/5.51 |
% 21.35/5.51 | Equations (420) can reduce 199 to:
% 21.35/5.51 | (301) $false
% 21.35/5.51 |
% 21.35/5.51 |-The branch is then unsatisfiable
% 21.35/5.51 |-Branch two:
% 21.35/5.51 | (643) ~ (all_0_54_54 = e4)
% 21.35/5.51 | (720) all_0_54_54 = e1 | all_0_54_54 = e0
% 21.35/5.51 |
% 21.35/5.51 +-Applying beta-rule and splitting (720), into two cases.
% 21.35/5.51 |-Branch one:
% 21.35/5.51 | (369) all_0_54_54 = e0
% 21.35/5.51 |
% 21.35/5.51 | Equations (369) can reduce 682 to:
% 21.35/5.51 | (301) $false
% 21.35/5.51 |
% 21.35/5.51 |-The branch is then unsatisfiable
% 21.35/5.51 |-Branch two:
% 21.35/5.51 | (682) ~ (all_0_54_54 = e0)
% 21.35/5.51 | (724) all_0_54_54 = e1
% 21.35/5.51 |
% 21.35/5.51 | Equations (724) can reduce 1566 to:
% 21.35/5.51 | (301) $false
% 21.35/5.51 |
% 21.35/5.51 |-The branch is then unsatisfiable
% 21.35/5.51 |-Branch two:
% 21.35/5.51 | (270) ~ (all_0_56_56 = e2)
% 21.35/5.51 | (640) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0
% 21.35/5.51 |
% 21.35/5.51 +-Applying beta-rule and splitting (98), into two cases.
% 21.35/5.51 |-Branch one:
% 21.35/5.51 | (294) all_0_38_38 = e4
% 21.35/5.51 |
% 21.35/5.51 | Combining equations (315,294) yields a new equation:
% 21.35/5.51 | (317) e4 = e0
% 21.35/5.51 |
% 21.35/5.51 | Equations (317) can reduce 43 to:
% 21.35/5.51 | (301) $false
% 21.35/5.51 |
% 21.35/5.51 |-The branch is then unsatisfiable
% 21.35/5.51 |-Branch two:
% 21.35/5.51 | (540) ~ (all_0_38_38 = e4)
% 21.35/5.51 | (1618) all_0_42_42 = e4 | all_0_51_51 = e4 | all_0_54_54 = e4
% 21.35/5.51 |
% 21.35/5.51 +-Applying beta-rule and splitting (57), into two cases.
% 21.35/5.51 |-Branch one:
% 21.35/5.51 | (600) all_0_54_54 = e2
% 21.35/5.51 |
% 21.35/5.51 | Equations (600) can reduce 283 to:
% 21.35/5.51 | (301) $false
% 21.35/5.51 |
% 21.35/5.51 |-The branch is then unsatisfiable
% 21.35/5.51 |-Branch two:
% 21.35/5.51 | (283) ~ (all_0_54_54 = e2)
% 21.35/5.51 | (653) all_0_54_54 = e4 | all_0_54_54 = e1 | all_0_54_54 = e0
% 21.35/5.51 |
% 21.35/5.51 +-Applying beta-rule and splitting (211), into two cases.
% 21.35/5.51 |-Branch one:
% 21.35/5.51 | (784) all_0_45_45 = e1
% 21.35/5.51 |
% 21.35/5.51 | Combining equations (752,784) yields a new equation:
% 21.35/5.51 | (1250) e2 = e1
% 21.35/5.51 |
% 21.35/5.51 | Simplifying 1250 yields:
% 21.35/5.51 | (928) e2 = e1
% 21.35/5.51 |
% 21.35/5.51 | Equations (928) can reduce 122 to:
% 21.35/5.51 | (301) $false
% 21.35/5.51 |
% 21.35/5.51 |-The branch is then unsatisfiable
% 21.35/5.51 |-Branch two:
% 21.35/5.51 | (477) ~ (all_0_45_45 = e1)
% 21.35/5.51 | (982) all_0_49_49 = e1 | all_0_57_57 = e1
% 21.35/5.51 |
% 21.35/5.51 +-Applying beta-rule and splitting (1618), into two cases.
% 21.35/5.51 |-Branch one:
% 21.35/5.51 | (794) all_0_42_42 = e4
% 21.35/5.51 |
% 21.35/5.51 | Combining equations (979,794) yields a new equation:
% 21.35/5.51 | (484) e4 = e1
% 21.35/5.51 |
% 21.35/5.51 | Equations (484) can reduce 114 to:
% 21.35/5.51 | (301) $false
% 21.35/5.51 |
% 21.35/5.51 |-The branch is then unsatisfiable
% 21.35/5.51 |-Branch two:
% 21.35/5.51 | (974) ~ (all_0_42_42 = e4)
% 21.35/5.51 | (6039) all_0_51_51 = e4 | all_0_54_54 = e4
% 21.35/5.51 |
% 21.35/5.51 | Equations (979) can reduce 974 to:
% 21.35/5.51 | (479) ~ (e4 = e1)
% 21.35/5.51 |
% 21.35/5.51 | Simplifying 479 yields:
% 21.35/5.51 | (114) ~ (e4 = e1)
% 21.35/5.51 |
% 21.35/5.51 +-Applying beta-rule and splitting (89), into two cases.
% 21.35/5.51 |-Branch one:
% 21.35/5.51 | (600) all_0_54_54 = e2
% 21.35/5.51 |
% 21.35/5.51 | Equations (600) can reduce 283 to:
% 21.35/5.51 | (301) $false
% 21.35/5.51 |
% 21.35/5.51 |-The branch is then unsatisfiable
% 21.35/5.51 |-Branch two:
% 21.35/5.51 | (283) ~ (all_0_54_54 = e2)
% 21.35/5.51 | (603) all_0_55_55 = e2 | all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2
% 21.35/5.51 |
% 21.35/5.51 +-Applying beta-rule and splitting (603), into two cases.
% 21.35/5.51 |-Branch one:
% 21.35/5.51 | (450) all_0_55_55 = e2
% 21.35/5.51 |
% 21.35/5.51 | Combining equations (520,450) yields a new equation:
% 21.35/5.51 | (345) e2 = e0
% 21.35/5.51 |
% 21.35/5.51 | Equations (345) can reduce 133 to:
% 21.35/5.51 | (301) $false
% 21.35/5.51 |
% 21.35/5.51 |-The branch is then unsatisfiable
% 21.35/5.51 |-Branch two:
% 21.35/5.51 | (1140) ~ (all_0_55_55 = e2)
% 21.35/5.51 | (1141) all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2
% 21.35/5.51 |
% 21.35/5.51 +-Applying beta-rule and splitting (982), into two cases.
% 21.35/5.51 |-Branch one:
% 21.35/5.51 | (487) all_0_49_49 = e1
% 21.35/5.51 |
% 21.35/5.51 | Combining equations (491,487) yields a new equation:
% 21.35/5.51 | (858) e4 = e1
% 21.35/5.51 |
% 21.35/5.51 | Simplifying 858 yields:
% 21.35/5.51 | (484) e4 = e1
% 21.35/5.51 |
% 21.35/5.51 | Equations (484) can reduce 114 to:
% 21.35/5.51 | (301) $false
% 21.35/5.51 |
% 21.35/5.51 |-The branch is then unsatisfiable
% 21.35/5.51 |-Branch two:
% 21.35/5.51 | (478) ~ (all_0_49_49 = e1)
% 21.35/5.51 | (476) all_0_57_57 = e1
% 21.35/5.51 |
% 21.35/5.51 | Equations (476) can reduce 452 to:
% 21.35/5.51 | (788) ~ (e2 = e1)
% 21.35/5.51 |
% 21.35/5.51 | Simplifying 788 yields:
% 21.35/5.51 | (122) ~ (e2 = e1)
% 21.35/5.51 |
% 21.35/5.51 +-Applying beta-rule and splitting (1141), into two cases.
% 21.35/5.51 |-Branch one:
% 21.35/5.51 | (637) all_0_56_56 = e2
% 21.35/5.51 |
% 21.35/5.51 | Equations (637) can reduce 270 to:
% 21.35/5.51 | (301) $false
% 21.35/5.51 |
% 21.35/5.51 |-The branch is then unsatisfiable
% 21.35/5.51 |-Branch two:
% 21.35/5.51 | (270) ~ (all_0_56_56 = e2)
% 21.35/5.51 | (1449) all_0_57_57 = e2 | all_0_58_58 = e2
% 21.35/5.51 |
% 21.35/5.51 +-Applying beta-rule and splitting (1449), into two cases.
% 21.35/5.51 |-Branch one:
% 21.35/5.51 | (458) all_0_57_57 = e2
% 21.35/5.51 |
% 21.35/5.51 | Combining equations (476,458) yields a new equation:
% 21.35/5.51 | (928) e2 = e1
% 21.35/5.51 |
% 21.35/5.51 | Equations (928) can reduce 122 to:
% 21.35/5.51 | (301) $false
% 21.35/5.51 |
% 21.35/5.51 |-The branch is then unsatisfiable
% 21.35/5.51 |-Branch two:
% 21.35/5.51 | (452) ~ (all_0_57_57 = e2)
% 21.35/5.51 | (300) all_0_58_58 = e2
% 21.35/5.51 |
% 21.35/5.51 | Combining equations (300,366) yields a new equation:
% 21.35/5.51 | (573) e3 = e2
% 21.35/5.51 |
% 21.35/5.51 | Equations (573) can reduce 231 to:
% 21.35/5.51 | (301) $false
% 21.35/5.51 |
% 21.35/5.51 |-The branch is then unsatisfiable
% 21.35/5.51 |-Branch two:
% 21.35/5.51 | (407) ~ (all_0_44_44 = e4)
% 21.35/5.51 | (1920) all_0_44_44 = e3 | all_0_44_44 = e0
% 21.35/5.51 |
% 21.35/5.51 +-Applying beta-rule and splitting (1920), into two cases.
% 21.35/5.51 |-Branch one:
% 21.35/5.51 | (383) all_0_44_44 = e0
% 21.35/5.51 |
% 21.35/5.51 | Equations (383) can reduce 525 to:
% 21.35/5.51 | (301) $false
% 21.35/5.51 |
% 21.35/5.51 |-The branch is then unsatisfiable
% 21.35/5.51 |-Branch two:
% 21.35/5.51 | (525) ~ (all_0_44_44 = e0)
% 21.35/5.51 | (413) all_0_44_44 = e3
% 21.35/5.51 |
% 21.35/5.51 | Equations (413) can reduce 417 to:
% 21.35/5.51 | (301) $false
% 21.35/5.51 |
% 21.35/5.51 |-The branch is then unsatisfiable
% 21.35/5.51 |-Branch two:
% 21.35/5.51 | (730) ~ (all_0_45_45 = e2)
% 21.35/5.51 | (2552) all_0_45_45 = e4 | all_0_45_45 = e3 | all_0_45_45 = e1
% 21.35/5.51 |
% 21.35/5.51 +-Applying beta-rule and splitting (2552), into two cases.
% 21.35/5.51 |-Branch one:
% 21.35/5.51 | (481) all_0_45_45 = e4
% 21.35/5.51 |
% 21.35/5.51 | Equations (481) can reduce 489 to:
% 21.35/5.51 | (301) $false
% 21.35/5.51 |
% 21.35/5.51 |-The branch is then unsatisfiable
% 21.35/5.51 |-Branch two:
% 21.35/5.51 | (489) ~ (all_0_45_45 = e4)
% 21.35/5.51 | (2556) all_0_45_45 = e3 | all_0_45_45 = e1
% 21.35/5.51 |
% 21.35/5.51 +-Applying beta-rule and splitting (2556), into two cases.
% 21.35/5.51 |-Branch one:
% 21.35/5.51 | (2016) all_0_45_45 = e3
% 21.35/5.51 |
% 21.35/5.51 | Equations (2016) can reduce 770 to:
% 21.35/5.51 | (301) $false
% 21.35/5.51 |
% 21.35/5.51 |-The branch is then unsatisfiable
% 21.35/5.51 |-Branch two:
% 21.35/5.51 | (770) ~ (all_0_45_45 = e3)
% 21.35/5.51 | (784) all_0_45_45 = e1
% 21.35/5.51 |
% 21.35/5.51 | Equations (784) can reduce 477 to:
% 21.35/5.51 | (301) $false
% 21.35/5.51 |
% 21.35/5.51 |-The branch is then unsatisfiable
% 21.35/5.51 |-Branch two:
% 21.35/5.51 | (785) ~ (all_0_42_42 = e1)
% 21.35/5.51 | (724) all_0_54_54 = e1
% 21.35/5.51 |
% 21.35/5.51 | Equations (724) can reduce 181 to:
% 21.35/5.51 | (785) ~ (all_0_42_42 = e1)
% 21.35/5.51 |
% 21.35/5.51 | Equations (724) can reduce 190 to:
% 21.35/5.51 | (2979) ~ (all_0_56_56 = e1)
% 21.35/5.51 |
% 21.35/5.51 | Simplifying 2979 yields:
% 21.35/5.51 | (58) ~ (all_0_56_56 = e1)
% 21.35/5.51 |
% 21.35/5.51 | Equations (724) can reduce 223 to:
% 21.35/5.51 | (725) ~ (all_0_57_57 = e1)
% 21.35/5.51 |
% 21.35/5.51 | Simplifying 725 yields:
% 21.35/5.51 | (726) ~ (all_0_57_57 = e1)
% 21.35/5.51 |
% 21.35/5.51 | From (724) and (52) follows:
% 21.35/5.51 | (727) op(e1, e4) = all_0_30_30
% 21.35/5.51 |
% 21.35/5.51 +-Applying beta-rule and splitting (227), into two cases.
% 21.35/5.51 |-Branch one:
% 21.35/5.51 | (737) all_0_42_42 = e2
% 21.35/5.51 |
% 21.35/5.51 | Equations (737) can reduce 277 to:
% 21.35/5.51 | (301) $false
% 21.35/5.51 |
% 21.35/5.51 |-The branch is then unsatisfiable
% 21.35/5.51 |-Branch two:
% 21.35/5.51 | (277) ~ (all_0_42_42 = e2)
% 21.35/5.51 | (783) all_0_42_42 = e4 | all_0_42_42 = e1 | all_0_42_42 = e0
% 21.35/5.51 |
% 21.35/5.51 +-Applying beta-rule and splitting (783), into two cases.
% 21.35/5.51 |-Branch one:
% 21.35/5.51 | (794) all_0_42_42 = e4
% 21.35/5.51 |
% 21.35/5.51 | Equations (794) can reduce 84 to:
% 21.35/5.51 | (5537) ~ (all_0_44_44 = e4)
% 21.35/5.51 |
% 21.35/5.51 | Simplifying 5537 yields:
% 21.35/5.51 | (407) ~ (all_0_44_44 = e4)
% 21.35/5.51 |
% 21.35/5.51 | Equations (794) can reduce 68 to:
% 21.35/5.51 | (199) ~ (e4 = e3)
% 21.35/5.51 |
% 21.35/5.51 | From (794) and (159) follows:
% 21.35/5.51 | (799) op(e4, e4) = all_0_8_8
% 21.35/5.51 |
% 21.35/5.51 +-Applying beta-rule and splitting (21), into two cases.
% 21.35/5.51 |-Branch one:
% 21.35/5.51 | (403) all_0_44_44 = e4
% 21.35/5.51 |
% 21.35/5.51 | Equations (403) can reduce 407 to:
% 21.35/5.51 | (301) $false
% 21.35/5.51 |
% 21.35/5.51 |-The branch is then unsatisfiable
% 21.35/5.51 |-Branch two:
% 21.35/5.51 | (407) ~ (all_0_44_44 = e4)
% 21.35/5.51 | (408) all_0_53_53 = e4 | all_0_56_56 = e4
% 21.35/5.51 |
% 21.35/5.51 +-Applying beta-rule and splitting (239), into two cases.
% 21.35/5.51 |-Branch one:
% 21.35/5.51 | (747) all_0_44_44 = e2
% 21.35/5.51 |
% 21.35/5.51 | Combining equations (747,5464) yields a new equation:
% 21.35/5.51 | (3116) all_0_28_28 = e2
% 21.35/5.51 |
% 21.35/5.51 | Equations (747) can reduce 124 to:
% 21.35/5.51 | (269) ~ (all_0_56_56 = e2)
% 21.35/5.51 |
% 21.35/5.51 | Simplifying 269 yields:
% 21.35/5.51 | (270) ~ (all_0_56_56 = e2)
% 21.35/5.51 |
% 21.35/5.51 | Equations (747) can reduce 417 to:
% 21.35/5.51 | (284) ~ (e3 = e2)
% 21.35/5.51 |
% 21.35/5.51 | Simplifying 284 yields:
% 21.35/5.51 | (231) ~ (e3 = e2)
% 21.35/5.51 |
% 21.35/5.51 | Equations (747) can reduce 55 to:
% 21.35/5.51 | (122) ~ (e2 = e1)
% 21.35/5.51 |
% 21.35/5.51 | Equations (747) can reduce 525 to:
% 21.35/5.51 | (133) ~ (e2 = e0)
% 21.35/5.51 |
% 21.35/5.51 | From (747) and (185) follows:
% 21.35/5.51 | (2951) op(e2, e2) = all_0_11_11
% 21.35/5.51 |
% 21.35/5.51 +-Applying beta-rule and splitting (179), into two cases.
% 21.35/5.51 |-Branch one:
% 21.35/5.51 | (637) all_0_56_56 = e2
% 21.35/5.51 |
% 21.35/5.51 | Equations (637) can reduce 270 to:
% 21.35/5.51 | (301) $false
% 21.35/5.51 |
% 21.35/5.51 |-The branch is then unsatisfiable
% 21.35/5.51 |-Branch two:
% 21.35/5.51 | (270) ~ (all_0_56_56 = e2)
% 21.35/5.51 | (640) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0
% 21.35/5.51 |
% 21.35/5.51 +-Applying beta-rule and splitting (19), into two cases.
% 21.35/5.51 |-Branch one:
% 21.35/5.51 | (458) all_0_57_57 = e2
% 21.35/5.51 |
% 21.35/5.51 | Equations (458) can reduce 75 to:
% 21.35/5.51 | (730) ~ (all_0_45_45 = e2)
% 21.35/5.51 |
% 21.35/5.51 | Equations (458) can reduce 243 to:
% 21.35/5.51 | (270) ~ (all_0_56_56 = e2)
% 21.35/5.51 |
% 21.35/5.51 | Equations (458) can reduce 425 to:
% 21.35/5.51 | (284) ~ (e3 = e2)
% 21.35/5.51 |
% 21.35/5.51 | Simplifying 284 yields:
% 21.35/5.51 | (231) ~ (e3 = e2)
% 21.35/5.51 |
% 21.35/5.51 | Equations (458) can reduce 726 to:
% 21.35/5.51 | (122) ~ (e2 = e1)
% 21.35/5.51 |
% 21.35/5.51 | Equations (458) can reduce 189 to:
% 21.35/5.51 | (133) ~ (e2 = e0)
% 21.35/5.51 |
% 21.35/5.51 | From (458) and (73) follows:
% 21.35/5.51 | (735) op(e2, e1) = all_0_36_36
% 21.35/5.51 |
% 21.35/5.51 +-Applying beta-rule and splitting (211), into two cases.
% 21.35/5.51 |-Branch one:
% 21.35/5.51 | (784) all_0_45_45 = e1
% 21.35/5.51 |
% 21.35/5.51 | Combining equations (784,5007) yields a new equation:
% 21.35/5.51 | (810) all_0_4_4 = e1
% 21.35/5.51 |
% 21.35/5.51 | Equations (784) can reduce 770 to:
% 21.35/5.51 | (786) ~ (e3 = e1)
% 21.35/5.51 |
% 21.35/5.51 | Simplifying 786 yields:
% 21.35/5.51 | (234) ~ (e3 = e1)
% 21.35/5.51 |
% 21.35/5.51 | Equations (784) can reduce 730 to:
% 21.35/5.51 | (788) ~ (e2 = e1)
% 21.35/5.51 |
% 21.35/5.51 | Simplifying 788 yields:
% 21.35/5.51 | (122) ~ (e2 = e1)
% 21.35/5.51 |
% 21.35/5.51 | Equations (784) can reduce 163 to:
% 21.35/5.51 | (247) ~ (e1 = e0)
% 21.35/5.51 |
% 21.35/5.51 | From (784) and (44) follows:
% 21.35/5.51 | (792) op(e1, e1) = all_0_13_13
% 21.35/5.51 |
% 21.35/5.51 +-Applying beta-rule and splitting (640), into two cases.
% 21.35/5.51 |-Branch one:
% 21.35/5.51 | (523) all_0_56_56 = e4
% 21.35/5.51 |
% 21.35/5.51 | Equations (523) can reduce 596 to:
% 21.35/5.51 | (199) ~ (e4 = e3)
% 21.35/5.51 |
% 21.35/5.51 | Equations (523) can reduce 270 to:
% 21.35/5.51 | (42) ~ (e4 = e2)
% 21.35/5.51 |
% 21.35/5.51 | Equations (523) can reduce 58 to:
% 21.35/5.51 | (114) ~ (e4 = e1)
% 21.35/5.51 |
% 21.35/5.51 | Equations (523) can reduce 374 to:
% 21.35/5.51 | (43) ~ (e4 = e0)
% 21.35/5.51 |
% 21.35/5.51 | From (523) and (202) follows:
% 21.35/5.51 | (648) op(e4, e2) = all_0_34_34
% 21.35/5.51 |
% 21.35/5.51 | Instantiating formula (151) with e4, e4, all_0_8_8, e0 and discharging atoms op(e4, e4) = all_0_8_8, op(e4, e4) = e0, yields:
% 21.35/5.51 | (824) all_0_8_8 = e0
% 21.35/5.51 |
% 21.35/5.51 | Instantiating formula (151) with e4, e2, all_0_34_34, e1 and discharging atoms op(e4, e2) = all_0_34_34, op(e4, e2) = e1, yields:
% 21.35/5.51 | (829) all_0_34_34 = e1
% 21.35/5.51 |
% 21.35/5.51 | Instantiating formula (151) with e2, e2, all_0_11_11, e0 and discharging atoms op(e2, e2) = all_0_11_11, op(e2, e2) = e0, yields:
% 21.35/5.51 | (2998) all_0_11_11 = e0
% 21.35/5.51 |
% 21.35/5.51 | Instantiating formula (151) with e2, e1, all_0_36_36, e4 and discharging atoms op(e2, e1) = all_0_36_36, op(e2, e1) = e4, yields:
% 21.35/5.51 | (813) all_0_36_36 = e4
% 21.35/5.51 |
% 21.35/5.51 | Instantiating formula (151) with e1, e4, all_0_30_30, e2 and discharging atoms op(e1, e4) = all_0_30_30, op(e1, e4) = e2, yields:
% 21.35/5.51 | (816) all_0_30_30 = e2
% 21.35/5.51 |
% 21.35/5.51 | Instantiating formula (151) with e1, e1, all_0_13_13, e0 and discharging atoms op(e1, e1) = all_0_13_13, op(e1, e1) = e0, yields:
% 21.35/5.51 | (819) all_0_13_13 = e0
% 21.35/5.51 |
% 21.35/5.51 +-Applying beta-rule and splitting (128), into two cases.
% 21.35/5.51 |-Branch one:
% 21.35/5.51 | (837) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)) | (all_0_42_42 = e2 & ~ (all_0_44_44 = e4))
% 21.35/5.51 |
% 21.35/5.51 +-Applying beta-rule and splitting (837), into two cases.
% 21.35/5.51 |-Branch one:
% 21.35/5.51 | (838) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1))
% 21.35/5.52 |
% 21.35/5.52 +-Applying beta-rule and splitting (838), into two cases.
% 21.35/5.52 |-Branch one:
% 21.35/5.52 | (839) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56))
% 21.35/5.52 |
% 21.35/5.52 +-Applying beta-rule and splitting (839), into two cases.
% 21.35/5.52 |-Branch one:
% 21.35/5.52 | (840) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55))
% 21.35/5.52 |
% 21.35/5.52 +-Applying beta-rule and splitting (840), into two cases.
% 21.35/5.52 |-Branch one:
% 21.35/5.52 | (841) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54))
% 21.35/5.52 |
% 21.35/5.52 +-Applying beta-rule and splitting (841), into two cases.
% 21.35/5.52 |-Branch one:
% 21.35/5.52 | (842) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53))
% 21.35/5.52 |
% 21.35/5.52 +-Applying beta-rule and splitting (842), into two cases.
% 21.35/5.52 |-Branch one:
% 21.35/5.52 | (843) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52))
% 21.35/5.52 |
% 21.35/5.52 +-Applying beta-rule and splitting (843), into two cases.
% 21.35/5.52 |-Branch one:
% 21.35/5.52 | (844) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51))
% 21.35/5.52 |
% 21.35/5.52 +-Applying beta-rule and splitting (844), into two cases.
% 21.35/5.52 |-Branch one:
% 21.35/5.52 | (845) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56))
% 21.35/5.52 |
% 21.35/5.52 +-Applying beta-rule and splitting (845), into two cases.
% 21.35/5.52 |-Branch one:
% 21.35/5.52 | (846) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53))
% 21.35/5.52 |
% 21.35/5.52 +-Applying beta-rule and splitting (846), into two cases.
% 21.35/5.52 |-Branch one:
% 21.35/5.52 | (847) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47))
% 21.35/5.52 |
% 21.35/5.52 +-Applying beta-rule and splitting (847), into two cases.
% 21.35/5.52 |-Branch one:
% 21.35/5.52 | (848) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55))
% 21.35/5.52 |
% 21.35/5.52 +-Applying beta-rule and splitting (848), into two cases.
% 21.35/5.52 |-Branch one:
% 21.35/5.52 | (849) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52))
% 21.35/5.52 |
% 21.35/5.52 +-Applying beta-rule and splitting (849), into two cases.
% 21.35/5.52 |-Branch one:
% 21.35/5.52 | (850) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47))
% 21.35/5.52 |
% 21.35/5.52 +-Applying beta-rule and splitting (850), into two cases.
% 21.35/5.52 |-Branch one:
% 21.35/5.52 | (851) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42))
% 21.35/5.52 |
% 21.35/5.52 +-Applying beta-rule and splitting (851), into two cases.
% 21.35/5.52 |-Branch one:
% 21.35/5.52 | (852) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54))
% 21.35/5.52 |
% 21.35/5.52 +-Applying beta-rule and splitting (852), into two cases.
% 21.35/5.52 |-Branch one:
% 21.35/5.52 | (853) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51))
% 21.35/5.52 |
% 21.35/5.52 +-Applying beta-rule and splitting (853), into two cases.
% 21.35/5.52 |-Branch one:
% 21.35/5.52 | (854) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)
% 21.35/5.52 |
% 21.35/5.52 | Applying alpha-rule on (854) yields:
% 21.35/5.52 | (855) all_0_2_2 = e4
% 21.35/5.52 | (856) ~ (all_0_1_1 = e3)
% 21.35/5.52 | (857) ~ (all_0_39_39 = all_0_42_42)
% 21.35/5.52 |
% 21.35/5.52 | Combining equations (855,812) yields a new equation:
% 21.35/5.52 | (858) e4 = e1
% 21.35/5.52 |
% 21.35/5.52 | Simplifying 858 yields:
% 21.35/5.52 | (484) e4 = e1
% 21.35/5.52 |
% 21.35/5.52 | Equations (484) can reduce 114 to:
% 21.35/5.52 | (301) $false
% 21.35/5.52 |
% 21.35/5.52 |-The branch is then unsatisfiable
% 21.35/5.52 |-Branch two:
% 21.35/5.52 | (861) all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)
% 21.35/5.52 |
% 21.35/5.52 | Applying alpha-rule on (861) yields:
% 21.35/5.52 | (862) all_0_4_4 = e4
% 21.35/5.52 | (863) ~ (all_0_3_3 = e1)
% 21.35/5.52 | (864) ~ (all_0_40_40 = all_0_51_51)
% 21.35/5.52 |
% 21.35/5.52 | Combining equations (862,810) yields a new equation:
% 21.35/5.52 | (858) e4 = e1
% 21.35/5.52 |
% 21.35/5.52 | Simplifying 858 yields:
% 21.35/5.52 | (484) e4 = e1
% 21.35/5.52 |
% 21.35/5.52 | Equations (484) can reduce 114 to:
% 21.35/5.52 | (301) $false
% 21.35/5.52 |
% 21.35/5.52 |-The branch is then unsatisfiable
% 21.35/5.52 |-Branch two:
% 21.35/5.52 | (868) all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)
% 21.35/5.52 |
% 21.35/5.52 | Applying alpha-rule on (868) yields:
% 21.35/5.52 | (869) all_0_6_6 = e4
% 21.35/5.52 | (870) ~ (all_0_5_5 = e0)
% 21.35/5.52 | (871) ~ (all_0_41_41 = all_0_54_54)
% 21.35/5.52 |
% 21.35/5.52 | Equations (802) can reduce 870 to:
% 21.35/5.52 | (301) $false
% 21.35/5.52 |
% 21.35/5.52 |-The branch is then unsatisfiable
% 21.35/5.52 |-Branch two:
% 21.35/5.52 | (873) all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)
% 21.35/5.52 |
% 21.35/5.52 | Applying alpha-rule on (873) yields:
% 21.35/5.52 | (874) all_0_8_8 = e3
% 21.35/5.52 | (875) ~ (all_0_7_7 = e4)
% 21.35/5.52 | (857) ~ (all_0_39_39 = all_0_42_42)
% 21.35/5.52 |
% 21.35/5.52 | Combining equations (874,824) yields a new equation:
% 21.35/5.52 | (414) e3 = e0
% 21.35/5.52 |
% 21.35/5.52 | Simplifying 414 yields:
% 21.35/5.52 | (415) e3 = e0
% 21.35/5.52 |
% 21.35/5.52 | Equations (415) can reduce 81 to:
% 21.35/5.52 | (301) $false
% 21.35/5.52 |
% 21.35/5.52 |-The branch is then unsatisfiable
% 21.35/5.52 |-Branch two:
% 21.35/5.52 | (880) all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)
% 21.35/5.52 |
% 21.35/5.52 | Applying alpha-rule on (880) yields:
% 21.35/5.52 | (881) all_0_11_11 = e3
% 21.35/5.52 | (882) ~ (all_0_10_10 = e2)
% 21.35/5.52 | (883) ~ (all_0_44_44 = all_0_47_47)
% 21.35/5.52 |
% 21.35/5.52 | Combining equations (881,2998) yields a new equation:
% 21.35/5.52 | (414) e3 = e0
% 21.35/5.52 |
% 21.35/5.52 | Simplifying 414 yields:
% 21.35/5.52 | (415) e3 = e0
% 21.35/5.52 |
% 21.35/5.52 | Equations (415) can reduce 81 to:
% 21.35/5.52 | (301) $false
% 21.35/5.52 |
% 21.35/5.52 |-The branch is then unsatisfiable
% 21.35/5.52 |-Branch two:
% 21.35/5.52 | (886) all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)
% 21.35/5.52 |
% 21.35/5.52 | Applying alpha-rule on (886) yields:
% 21.35/5.52 | (887) all_0_13_13 = e3
% 21.35/5.52 | (888) ~ (all_0_12_12 = e1)
% 21.35/5.52 | (889) ~ (all_0_45_45 = all_0_52_52)
% 21.35/5.52 |
% 21.35/5.52 | Combining equations (887,819) yields a new equation:
% 21.35/5.52 | (414) e3 = e0
% 21.35/5.52 |
% 21.35/5.52 | Simplifying 414 yields:
% 21.35/5.52 | (415) e3 = e0
% 21.35/5.52 |
% 21.35/5.52 | Equations (415) can reduce 81 to:
% 21.35/5.52 | (301) $false
% 21.35/5.52 |
% 21.35/5.52 |-The branch is then unsatisfiable
% 21.35/5.52 |-Branch two:
% 21.35/5.52 | (893) all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)
% 21.35/5.52 |
% 21.35/5.52 | Applying alpha-rule on (893) yields:
% 21.35/5.52 | (894) all_0_15_15 = e3
% 21.35/5.52 | (895) ~ (all_0_14_14 = e0)
% 21.35/5.52 | (896) ~ (all_0_46_46 = all_0_55_55)
% 21.35/5.52 |
% 21.35/5.52 | Equations (1651,520) can reduce 896 to:
% 21.35/5.52 | (301) $false
% 21.35/5.52 |
% 21.35/5.52 |-The branch is then unsatisfiable
% 21.35/5.52 |-Branch two:
% 21.35/5.52 | (900) all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)
% 21.35/5.52 |
% 21.35/5.52 | Applying alpha-rule on (900) yields:
% 21.35/5.52 | (901) all_0_17_17 = e2
% 21.35/5.52 | (902) ~ (all_0_16_16 = e3)
% 21.35/5.52 | (883) ~ (all_0_44_44 = all_0_47_47)
% 21.35/5.52 |
% 21.35/5.52 | Combining equations (901,827) yields a new equation:
% 21.35/5.52 | (504) e4 = e2
% 21.35/5.52 |
% 21.35/5.52 | Equations (504) can reduce 42 to:
% 21.35/5.52 | (301) $false
% 21.35/5.52 |
% 21.35/5.52 |-The branch is then unsatisfiable
% 21.35/5.52 |-Branch two:
% 21.35/5.52 | (906) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)
% 21.35/5.52 |
% 21.35/5.52 | Applying alpha-rule on (906) yields:
% 21.35/5.52 | (907) all_0_20_20 = e2
% 21.35/5.52 | (908) ~ (all_0_19_19 = e1)
% 21.35/5.52 | (909) ~ (all_0_49_49 = all_0_53_53)
% 21.35/5.52 |
% 21.35/5.52 | Combining equations (907,808) yields a new equation:
% 21.35/5.52 | (573) e3 = e2
% 21.35/5.52 |
% 21.35/5.52 | Equations (573) can reduce 231 to:
% 21.35/5.52 | (301) $false
% 21.35/5.52 |
% 21.35/5.52 |-The branch is then unsatisfiable
% 21.35/5.52 |-Branch two:
% 21.35/5.52 | (912) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)
% 21.35/5.52 |
% 21.35/5.52 | Applying alpha-rule on (912) yields:
% 21.35/5.52 | (913) all_0_22_22 = e2
% 21.35/5.52 | (914) ~ (all_0_21_21 = e0)
% 21.35/5.52 | (915) ~ (all_0_50_50 = all_0_56_56)
% 21.35/5.52 |
% 21.35/5.52 | Equations (2824) can reduce 914 to:
% 21.35/5.52 | (301) $false
% 21.35/5.52 |
% 21.35/5.52 |-The branch is then unsatisfiable
% 21.35/5.52 |-Branch two:
% 21.35/5.52 | (918) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)
% 21.35/5.52 |
% 21.35/5.52 | Applying alpha-rule on (918) yields:
% 21.35/5.52 | (919) all_0_24_24 = e1
% 21.35/5.52 | (920) ~ (all_0_23_23 = e4)
% 21.35/5.52 | (864) ~ (all_0_40_40 = all_0_51_51)
% 21.35/5.52 |
% 21.35/5.52 | Combining equations (919,290) yields a new equation:
% 21.35/5.52 | (708) e3 = e1
% 21.35/5.52 |
% 21.35/5.52 | Equations (708) can reduce 234 to:
% 21.35/5.52 | (301) $false
% 21.35/5.52 |
% 21.35/5.52 |-The branch is then unsatisfiable
% 21.35/5.52 |-Branch two:
% 21.35/5.52 | (924) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)
% 21.35/5.52 |
% 21.35/5.52 | Applying alpha-rule on (924) yields:
% 21.35/5.52 | (925) all_0_26_26 = e1
% 21.35/5.52 | (926) ~ (all_0_25_25 = e3)
% 21.35/5.52 | (889) ~ (all_0_45_45 = all_0_52_52)
% 21.35/5.52 |
% 21.35/5.52 | Combining equations (925,826) yields a new equation:
% 21.35/5.52 | (928) e2 = e1
% 21.35/5.52 |
% 21.35/5.52 | Equations (928) can reduce 122 to:
% 21.35/5.52 | (301) $false
% 21.35/5.52 |
% 21.35/5.52 |-The branch is then unsatisfiable
% 21.35/5.52 |-Branch two:
% 21.35/5.52 | (930) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)
% 21.35/5.52 |
% 21.35/5.52 | Applying alpha-rule on (930) yields:
% 21.35/5.52 | (931) all_0_28_28 = e1
% 21.35/5.52 | (932) ~ (all_0_27_27 = e2)
% 21.35/5.52 | (909) ~ (all_0_49_49 = all_0_53_53)
% 21.35/5.52 |
% 21.35/5.52 | Combining equations (931,3116) yields a new equation:
% 21.35/5.52 | (928) e2 = e1
% 21.35/5.52 |
% 21.35/5.52 | Equations (928) can reduce 122 to:
% 21.35/5.52 | (301) $false
% 21.35/5.52 |
% 21.35/5.52 |-The branch is then unsatisfiable
% 21.35/5.52 |-Branch two:
% 21.35/5.52 | (937) all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)
% 21.35/5.52 |
% 21.35/5.52 | Applying alpha-rule on (937) yields:
% 21.35/5.52 | (938) all_0_30_30 = e0
% 21.35/5.52 | (939) ~ (all_0_29_29 = e4)
% 21.35/5.52 | (871) ~ (all_0_41_41 = all_0_54_54)
% 21.35/5.52 |
% 21.35/5.52 | Combining equations (816,938) yields a new equation:
% 21.35/5.52 | (352) e2 = e0
% 21.35/5.52 |
% 21.35/5.52 | Simplifying 352 yields:
% 21.35/5.52 | (345) e2 = e0
% 21.35/5.52 |
% 21.35/5.52 | Equations (345) can reduce 133 to:
% 21.35/5.52 | (301) $false
% 21.35/5.52 |
% 21.35/5.52 |-The branch is then unsatisfiable
% 21.35/5.52 |-Branch two:
% 21.35/5.52 | (944) all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)
% 21.35/5.52 |
% 21.35/5.52 | Applying alpha-rule on (944) yields:
% 21.35/5.52 | (945) all_0_32_32 = e0
% 21.35/5.52 | (946) ~ (all_0_31_31 = e3)
% 21.35/5.52 | (896) ~ (all_0_46_46 = all_0_55_55)
% 21.35/5.52 |
% 21.35/5.52 | Equations (1651,520) can reduce 896 to:
% 21.35/5.52 | (301) $false
% 21.35/5.52 |
% 21.35/5.52 |-The branch is then unsatisfiable
% 21.35/5.52 |-Branch two:
% 21.35/5.52 | (949) all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)
% 21.35/5.52 |
% 21.35/5.52 | Applying alpha-rule on (949) yields:
% 21.35/5.52 | (950) all_0_34_34 = e0
% 21.35/5.52 | (951) ~ (all_0_33_33 = e2)
% 21.35/5.52 | (915) ~ (all_0_50_50 = all_0_56_56)
% 21.35/5.52 |
% 21.35/5.52 | Combining equations (829,950) yields a new equation:
% 21.35/5.52 | (934) e1 = e0
% 21.35/5.52 |
% 21.35/5.52 | Simplifying 934 yields:
% 21.35/5.52 | (935) e1 = e0
% 21.35/5.52 |
% 21.35/5.52 | Equations (935) can reduce 247 to:
% 21.35/5.52 | (301) $false
% 21.35/5.52 |
% 21.35/5.52 |-The branch is then unsatisfiable
% 21.35/5.52 |-Branch two:
% 21.35/5.52 | (956) all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)
% 21.35/5.52 |
% 21.35/5.52 | Applying alpha-rule on (956) yields:
% 21.35/5.52 | (957) all_0_36_36 = e0
% 21.35/5.52 | (958) ~ (all_0_35_35 = e1)
% 21.35/5.52 | (726) ~ (all_0_57_57 = e1)
% 21.35/5.52 |
% 21.35/5.52 | Combining equations (813,957) yields a new equation:
% 21.35/5.52 | (316) e4 = e0
% 21.35/5.52 |
% 21.35/5.52 | Simplifying 316 yields:
% 21.35/5.52 | (317) e4 = e0
% 21.35/5.52 |
% 21.35/5.52 | Equations (317) can reduce 43 to:
% 21.35/5.52 | (301) $false
% 21.35/5.52 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (963) all_0_42_42 = e2 & ~ (all_0_44_44 = e4)
% 21.35/5.53 |
% 21.35/5.53 | Applying alpha-rule on (963) yields:
% 21.35/5.53 | (737) all_0_42_42 = e2
% 21.35/5.53 | (407) ~ (all_0_44_44 = e4)
% 21.35/5.53 |
% 21.35/5.53 | Combining equations (794,737) yields a new equation:
% 21.35/5.53 | (553) e4 = e2
% 21.35/5.53 |
% 21.35/5.53 | Simplifying 553 yields:
% 21.35/5.53 | (504) e4 = e2
% 21.35/5.53 |
% 21.35/5.53 | Equations (504) can reduce 42 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (969) all_0_53_53 = e4 & ~ (all_0_51_51 = e2)
% 21.35/5.53 |
% 21.35/5.53 | Applying alpha-rule on (969) yields:
% 21.35/5.53 | (409) all_0_53_53 = e4
% 21.35/5.53 | (971) ~ (all_0_51_51 = e2)
% 21.35/5.53 |
% 21.35/5.53 | Combining equations (419,409) yields a new equation:
% 21.35/5.53 | (420) e4 = e3
% 21.35/5.53 |
% 21.35/5.53 | Equations (420) can reduce 199 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (376) ~ (all_0_56_56 = e4)
% 21.35/5.53 | (1123) all_0_56_56 = e3 | all_0_56_56 = e0
% 21.35/5.53 |
% 21.35/5.53 +-Applying beta-rule and splitting (408), into two cases.
% 21.35/5.53 |-Branch one:
% 21.35/5.53 | (409) all_0_53_53 = e4
% 21.35/5.53 |
% 21.35/5.53 | Combining equations (409,419) yields a new equation:
% 21.35/5.53 | (508) e4 = e3
% 21.35/5.53 |
% 21.35/5.53 | Simplifying 508 yields:
% 21.35/5.53 | (420) e4 = e3
% 21.35/5.53 |
% 21.35/5.53 | Equations (420) can reduce 199 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (522) ~ (all_0_53_53 = e4)
% 21.35/5.53 | (523) all_0_56_56 = e4
% 21.35/5.53 |
% 21.35/5.53 | Equations (523) can reduce 376 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (477) ~ (all_0_45_45 = e1)
% 21.35/5.53 | (982) all_0_49_49 = e1 | all_0_57_57 = e1
% 21.35/5.53 |
% 21.35/5.53 +-Applying beta-rule and splitting (408), into two cases.
% 21.35/5.53 |-Branch one:
% 21.35/5.53 | (409) all_0_53_53 = e4
% 21.35/5.53 |
% 21.35/5.53 | Combining equations (419,409) yields a new equation:
% 21.35/5.53 | (420) e4 = e3
% 21.35/5.53 |
% 21.35/5.53 | Equations (420) can reduce 199 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (522) ~ (all_0_53_53 = e4)
% 21.35/5.53 | (523) all_0_56_56 = e4
% 21.35/5.53 |
% 21.35/5.53 | Equations (523) can reduce 58 to:
% 21.35/5.53 | (114) ~ (e4 = e1)
% 21.35/5.53 |
% 21.35/5.53 +-Applying beta-rule and splitting (28), into two cases.
% 21.35/5.53 |-Branch one:
% 21.35/5.53 | (979) all_0_42_42 = e1
% 21.35/5.53 |
% 21.35/5.53 | Combining equations (979,794) yields a new equation:
% 21.35/5.53 | (484) e4 = e1
% 21.35/5.53 |
% 21.35/5.53 | Equations (484) can reduce 114 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (785) ~ (all_0_42_42 = e1)
% 21.35/5.53 | (1997) all_0_43_43 = e1 | all_0_45_45 = e1
% 21.35/5.53 |
% 21.35/5.53 | Equations (794) can reduce 785 to:
% 21.35/5.53 | (114) ~ (e4 = e1)
% 21.35/5.53 |
% 21.35/5.53 +-Applying beta-rule and splitting (982), into two cases.
% 21.35/5.53 |-Branch one:
% 21.35/5.53 | (487) all_0_49_49 = e1
% 21.35/5.53 |
% 21.35/5.53 | Combining equations (491,487) yields a new equation:
% 21.35/5.53 | (858) e4 = e1
% 21.35/5.53 |
% 21.35/5.53 | Simplifying 858 yields:
% 21.35/5.53 | (484) e4 = e1
% 21.35/5.53 |
% 21.35/5.53 | Equations (484) can reduce 114 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (478) ~ (all_0_49_49 = e1)
% 21.35/5.53 | (476) all_0_57_57 = e1
% 21.35/5.53 |
% 21.35/5.53 | Combining equations (458,476) yields a new equation:
% 21.35/5.53 | (1250) e2 = e1
% 21.35/5.53 |
% 21.35/5.53 | Simplifying 1250 yields:
% 21.35/5.53 | (928) e2 = e1
% 21.35/5.53 |
% 21.35/5.53 | Equations (928) can reduce 122 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (452) ~ (all_0_57_57 = e2)
% 21.35/5.53 | (461) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e1
% 21.35/5.53 |
% 21.35/5.53 +-Applying beta-rule and splitting (169), into two cases.
% 21.35/5.53 |-Branch one:
% 21.35/5.53 | (1380) all_0_40_40 = e2
% 21.35/5.53 |
% 21.35/5.53 | Combining equations (768,1380) yields a new equation:
% 21.35/5.53 | (572) e3 = e2
% 21.35/5.53 |
% 21.35/5.53 | Simplifying 572 yields:
% 21.35/5.53 | (573) e3 = e2
% 21.35/5.53 |
% 21.35/5.53 | Equations (573) can reduce 231 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (729) ~ (all_0_40_40 = e2)
% 21.35/5.53 | (2741) all_0_45_45 = e2 | all_0_49_49 = e2 | all_0_57_57 = e2
% 21.35/5.53 |
% 21.35/5.53 | Equations (768) can reduce 729 to:
% 21.35/5.53 | (231) ~ (e3 = e2)
% 21.35/5.53 |
% 21.35/5.53 +-Applying beta-rule and splitting (89), into two cases.
% 21.35/5.53 |-Branch one:
% 21.35/5.53 | (600) all_0_54_54 = e2
% 21.35/5.53 |
% 21.35/5.53 | Combining equations (724,600) yields a new equation:
% 21.35/5.53 | (928) e2 = e1
% 21.35/5.53 |
% 21.35/5.53 | Equations (928) can reduce 122 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (283) ~ (all_0_54_54 = e2)
% 21.35/5.53 | (603) all_0_55_55 = e2 | all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2
% 21.35/5.53 |
% 21.35/5.53 +-Applying beta-rule and splitting (603), into two cases.
% 21.35/5.53 |-Branch one:
% 21.35/5.53 | (450) all_0_55_55 = e2
% 21.35/5.53 |
% 21.35/5.53 | Combining equations (520,450) yields a new equation:
% 21.35/5.53 | (345) e2 = e0
% 21.35/5.53 |
% 21.35/5.53 | Equations (345) can reduce 133 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (1140) ~ (all_0_55_55 = e2)
% 21.35/5.53 | (1141) all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2
% 21.35/5.53 |
% 21.35/5.53 +-Applying beta-rule and splitting (1141), into two cases.
% 21.35/5.53 |-Branch one:
% 21.35/5.53 | (637) all_0_56_56 = e2
% 21.35/5.53 |
% 21.35/5.53 | Equations (637) can reduce 270 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (270) ~ (all_0_56_56 = e2)
% 21.35/5.53 | (1449) all_0_57_57 = e2 | all_0_58_58 = e2
% 21.35/5.53 |
% 21.35/5.53 +-Applying beta-rule and splitting (1449), into two cases.
% 21.35/5.53 |-Branch one:
% 21.35/5.53 | (458) all_0_57_57 = e2
% 21.35/5.53 |
% 21.35/5.53 | Equations (458) can reduce 452 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (452) ~ (all_0_57_57 = e2)
% 21.35/5.53 | (300) all_0_58_58 = e2
% 21.35/5.53 |
% 21.35/5.53 | Combining equations (300,366) yields a new equation:
% 21.35/5.53 | (573) e3 = e2
% 21.35/5.53 |
% 21.35/5.53 | Equations (573) can reduce 231 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (261) ~ (all_0_44_44 = e2)
% 21.35/5.53 | (1634) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e0
% 21.35/5.53 |
% 21.35/5.53 +-Applying beta-rule and splitting (1634), into two cases.
% 21.35/5.53 |-Branch one:
% 21.35/5.53 | (403) all_0_44_44 = e4
% 21.35/5.53 |
% 21.35/5.53 | Equations (403) can reduce 407 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (407) ~ (all_0_44_44 = e4)
% 21.35/5.53 | (1920) all_0_44_44 = e3 | all_0_44_44 = e0
% 21.35/5.53 |
% 21.35/5.53 +-Applying beta-rule and splitting (1920), into two cases.
% 21.35/5.53 |-Branch one:
% 21.35/5.53 | (383) all_0_44_44 = e0
% 21.35/5.53 |
% 21.35/5.53 | Equations (383) can reduce 525 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (525) ~ (all_0_44_44 = e0)
% 21.35/5.53 | (413) all_0_44_44 = e3
% 21.35/5.53 |
% 21.35/5.53 | Equations (413) can reduce 417 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (974) ~ (all_0_42_42 = e4)
% 21.35/5.53 | (975) all_0_42_42 = e1 | all_0_42_42 = e0
% 21.35/5.53 |
% 21.35/5.53 +-Applying beta-rule and splitting (975), into two cases.
% 21.35/5.53 |-Branch one:
% 21.35/5.53 | (976) all_0_42_42 = e0
% 21.35/5.53 |
% 21.35/5.53 | Equations (976) can reduce 680 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (680) ~ (all_0_42_42 = e0)
% 21.35/5.53 | (979) all_0_42_42 = e1
% 21.35/5.53 |
% 21.35/5.53 | Equations (979) can reduce 785 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (410) ~ (all_0_52_52 = e4)
% 21.35/5.53 | (503) all_0_55_55 = e4
% 21.35/5.53 |
% 21.35/5.53 | Combining equations (520,503) yields a new equation:
% 21.35/5.53 | (317) e4 = e0
% 21.35/5.53 |
% 21.35/5.53 | Equations (317) can reduce 43 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (1024) ~ (all_0_43_43 = e3)
% 21.35/5.53 | (706) all_0_43_43 = e1
% 21.35/5.53 |
% 21.35/5.53 | Equations (706) can reduce 710 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (464) ~ (all_0_49_49 = e4)
% 21.35/5.53 | (487) all_0_49_49 = e1
% 21.35/5.53 |
% 21.35/5.53 | Equations (487) can reduce 478 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (486) ~ (all_0_47_47 = e1)
% 21.35/5.53 | (1020) all_0_55_55 = e1
% 21.35/5.53 |
% 21.35/5.53 | Combining equations (1020,520) yields a new equation:
% 21.35/5.53 | (934) e1 = e0
% 21.35/5.53 |
% 21.35/5.53 | Simplifying 934 yields:
% 21.35/5.53 | (935) e1 = e0
% 21.35/5.53 |
% 21.35/5.53 | Equations (935) can reduce 247 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (706) all_0_43_43 = e1
% 21.35/5.53 | (2016) all_0_45_45 = e3
% 21.35/5.53 |
% 21.35/5.53 | Equations (2016) can reduce 770 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (994) ~ (all_0_40_40 = e3)
% 21.35/5.53 | (564) all_0_41_41 = e3
% 21.35/5.53 |
% 21.35/5.53 | Equations (564) can reduce 568 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (347) ~ (all_0_39_39 = e2)
% 21.35/5.53 | (348) all_0_43_43 = e2 | all_0_47_47 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2
% 21.35/5.53 |
% 21.35/5.53 +-Applying beta-rule and splitting (348), into two cases.
% 21.35/5.53 |-Branch one:
% 21.35/5.53 | (439) all_0_43_43 = e2
% 21.35/5.53 |
% 21.35/5.53 | Equations (439) can reduce 275 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (275) ~ (all_0_43_43 = e2)
% 21.35/5.53 | (442) all_0_47_47 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2
% 21.35/5.53 |
% 21.35/5.53 +-Applying beta-rule and splitting (442), into two cases.
% 21.35/5.53 |-Branch one:
% 21.35/5.53 | (443) all_0_47_47 = e2
% 21.35/5.53 |
% 21.35/5.53 | Equations (443) can reduce 262 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (262) ~ (all_0_47_47 = e2)
% 21.35/5.53 | (446) all_0_52_52 = e2 | all_0_55_55 = e2
% 21.35/5.53 |
% 21.35/5.53 +-Applying beta-rule and splitting (446), into two cases.
% 21.35/5.53 |-Branch one:
% 21.35/5.53 | (447) all_0_52_52 = e2
% 21.35/5.53 |
% 21.35/5.53 | Equations (447) can reduce 279 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (279) ~ (all_0_52_52 = e2)
% 21.35/5.53 | (450) all_0_55_55 = e2
% 21.35/5.53 |
% 21.35/5.53 | Combining equations (520,450) yields a new equation:
% 21.35/5.53 | (345) e2 = e0
% 21.35/5.53 |
% 21.35/5.53 | Equations (345) can reduce 133 to:
% 21.35/5.53 | (301) $false
% 21.35/5.53 |
% 21.35/5.53 |-The branch is then unsatisfiable
% 21.35/5.53 |-Branch two:
% 21.35/5.53 | (439) all_0_43_43 = e2
% 21.35/5.53 | (413) all_0_44_44 = e3
% 21.35/5.53 |
% 21.35/5.53 | Equations (439) can reduce 155 to:
% 21.35/5.53 | (347) ~ (all_0_39_39 = e2)
% 21.40/5.53 |
% 21.40/5.53 | Equations (439) can reduce 8 to:
% 21.40/5.53 | (277) ~ (all_0_42_42 = e2)
% 21.40/5.53 |
% 21.40/5.53 | Equations (413) can reduce 84 to:
% 21.40/5.53 | (68) ~ (all_0_42_42 = e3)
% 21.40/5.53 |
% 21.40/5.53 | Equations (439,413) can reduce 77 to:
% 21.40/5.53 | (284) ~ (e3 = e2)
% 21.40/5.53 |
% 21.40/5.53 | Simplifying 284 yields:
% 21.40/5.53 | (231) ~ (e3 = e2)
% 21.40/5.53 |
% 21.40/5.53 | Equations (439) can reduce 174 to:
% 21.40/5.53 | (1266) ~ (all_0_46_46 = e2)
% 21.40/5.53 |
% 21.40/5.53 | Simplifying 1266 yields:
% 21.40/5.53 | (575) ~ (all_0_46_46 = e2)
% 21.40/5.53 |
% 21.40/5.53 | Equations (439) can reduce 10 to:
% 21.40/5.53 | (2042) ~ (all_0_47_47 = e2)
% 21.40/5.53 |
% 21.40/5.53 | Simplifying 2042 yields:
% 21.40/5.53 | (262) ~ (all_0_47_47 = e2)
% 21.40/5.53 |
% 21.40/5.53 | Equations (439) can reduce 240 to:
% 21.40/5.53 | (278) ~ (all_0_52_52 = e2)
% 21.40/5.53 |
% 21.40/5.53 | Simplifying 278 yields:
% 21.40/5.53 | (279) ~ (all_0_52_52 = e2)
% 21.40/5.53 |
% 21.40/5.53 | Equations (413) can reduce 38 to:
% 21.40/5.53 | (769) ~ (all_0_45_45 = e3)
% 21.40/5.53 |
% 21.40/5.53 | Simplifying 769 yields:
% 21.40/5.53 | (770) ~ (all_0_45_45 = e3)
% 21.40/5.53 |
% 21.40/5.53 | Equations (413) can reduce 109 to:
% 21.40/5.53 | (1274) ~ (all_0_53_53 = e3)
% 21.40/5.53 |
% 21.40/5.53 | Simplifying 1274 yields:
% 21.40/5.53 | (422) ~ (all_0_53_53 = e3)
% 21.40/5.53 |
% 21.40/5.53 | From (413) and (130) follows:
% 21.40/5.53 | (2052) op(e3, e3) = all_0_10_10
% 21.40/5.53 |
% 21.40/5.53 | From (439) and (249) follows:
% 21.40/5.53 | (2053) op(e3, e3) = e2
% 21.40/5.53 |
% 21.40/5.53 +-Applying beta-rule and splitting (56), into two cases.
% 21.40/5.53 |-Branch one:
% 21.40/5.53 | (1254) all_0_53_53 = e2
% 21.40/5.53 |
% 21.40/5.53 | Equations (1254) can reduce 268 to:
% 21.40/5.53 | (301) $false
% 21.40/5.53 |
% 21.40/5.53 |-The branch is then unsatisfiable
% 21.40/5.53 |-Branch two:
% 21.40/5.53 | (268) ~ (all_0_53_53 = e2)
% 21.40/5.53 | (1307) all_0_53_53 = e4 | all_0_53_53 = e3
% 21.40/5.53 |
% 21.40/5.53 +-Applying beta-rule and splitting (1307), into two cases.
% 21.40/5.53 |-Branch one:
% 21.40/5.53 | (409) all_0_53_53 = e4
% 21.40/5.53 |
% 21.40/5.53 | Equations (409) can reduce 60 to:
% 21.40/5.53 | (410) ~ (all_0_52_52 = e4)
% 21.40/5.53 |
% 21.40/5.53 | Equations (409) can reduce 268 to:
% 21.40/5.53 | (42) ~ (e4 = e2)
% 21.40/5.53 |
% 21.40/5.53 | From (409) and (90) follows:
% 21.40/5.53 | (3353) op(e4, e1) = all_0_27_27
% 21.40/5.53 |
% 21.40/5.53 +-Applying beta-rule and splitting (53), into two cases.
% 21.40/5.53 |-Branch one:
% 21.40/5.53 | (344) all_0_39_39 = e2
% 21.40/5.53 |
% 21.40/5.53 | Equations (344) can reduce 347 to:
% 21.40/5.53 | (301) $false
% 21.40/5.53 |
% 21.40/5.53 |-The branch is then unsatisfiable
% 21.40/5.53 |-Branch two:
% 21.40/5.53 | (347) ~ (all_0_39_39 = e2)
% 21.40/5.53 | (1211) all_0_40_40 = e2 | all_0_41_41 = e2
% 21.40/5.53 |
% 21.40/5.53 +-Applying beta-rule and splitting (1211), into two cases.
% 21.40/5.53 |-Branch one:
% 21.40/5.53 | (1380) all_0_40_40 = e2
% 21.40/5.53 |
% 21.40/5.53 | Equations (1380) can reduce 187 to:
% 21.40/5.53 | (226) ~ (all_0_38_38 = e2)
% 21.40/5.53 |
% 21.40/5.53 | Equations (1380) can reduce 31 to:
% 21.40/5.53 | (347) ~ (all_0_39_39 = e2)
% 21.40/5.53 |
% 21.40/5.53 | Equations (1380) can reduce 108 to:
% 21.40/5.53 | (2443) ~ (all_0_45_45 = e2)
% 21.40/5.53 |
% 21.40/5.53 | Simplifying 2443 yields:
% 21.40/5.53 | (730) ~ (all_0_45_45 = e2)
% 21.40/5.53 |
% 21.40/5.53 | Equations (1380) can reduce 195 to:
% 21.40/5.53 | (263) ~ (all_0_49_49 = e2)
% 21.40/5.53 |
% 21.40/5.53 | Simplifying 263 yields:
% 21.40/5.53 | (264) ~ (all_0_49_49 = e2)
% 21.40/5.53 |
% 21.40/5.53 | Equations (1380) can reduce 171 to:
% 21.40/5.53 | (133) ~ (e2 = e0)
% 21.40/5.53 |
% 21.40/5.53 | From (1380) and (252) follows:
% 21.40/5.53 | (2599) op(e2, e1) = all_0_4_4
% 21.40/5.53 |
% 21.40/5.53 | From (1380) and (117) follows:
% 21.40/5.53 | (2906) op(e4, e1) = e2
% 21.40/5.53 |
% 21.40/5.53 +-Applying beta-rule and splitting (121), into two cases.
% 21.40/5.53 |-Branch one:
% 21.40/5.53 | (747) all_0_44_44 = e2
% 21.40/5.53 |
% 21.40/5.53 | Combining equations (413,747) yields a new equation:
% 21.40/5.53 | (572) e3 = e2
% 21.40/5.53 |
% 21.40/5.53 | Simplifying 572 yields:
% 21.40/5.53 | (573) e3 = e2
% 21.40/5.53 |
% 21.40/5.53 | Equations (573) can reduce 231 to:
% 21.40/5.53 | (301) $false
% 21.40/5.53 |
% 21.40/5.53 |-The branch is then unsatisfiable
% 21.40/5.53 |-Branch two:
% 21.40/5.53 | (261) ~ (all_0_44_44 = e2)
% 21.40/5.53 | (3570) all_0_48_48 = e2 | all_0_53_53 = e2 | all_0_56_56 = e2
% 21.40/5.53 |
% 21.40/5.53 +-Applying beta-rule and splitting (168), into two cases.
% 21.40/5.53 |-Branch one:
% 21.40/5.53 | (447) all_0_52_52 = e2
% 21.40/5.53 |
% 21.40/5.53 | Equations (447) can reduce 279 to:
% 21.40/5.53 | (301) $false
% 21.40/5.53 |
% 21.40/5.53 |-The branch is then unsatisfiable
% 21.40/5.53 |-Branch two:
% 21.40/5.53 | (279) ~ (all_0_52_52 = e2)
% 21.40/5.53 | (1680) all_0_52_52 = e4 | all_0_52_52 = e3
% 21.40/5.53 |
% 21.40/5.53 +-Applying beta-rule and splitting (3570), into two cases.
% 21.40/5.53 |-Branch one:
% 21.40/5.53 | (260) all_0_48_48 = e2
% 21.40/5.53 |
% 21.40/5.53 | Combining equations (351,260) yields a new equation:
% 21.40/5.53 | (345) e2 = e0
% 21.40/5.53 |
% 21.40/5.53 | Equations (345) can reduce 133 to:
% 21.40/5.53 | (301) $false
% 21.40/5.53 |
% 21.40/5.53 |-The branch is then unsatisfiable
% 21.40/5.53 |-Branch two:
% 21.40/5.53 | (2801) ~ (all_0_48_48 = e2)
% 21.40/5.53 | (3648) all_0_53_53 = e2 | all_0_56_56 = e2
% 21.40/5.53 |
% 21.40/5.53 +-Applying beta-rule and splitting (3648), into two cases.
% 21.40/5.53 |-Branch one:
% 21.40/5.53 | (1254) all_0_53_53 = e2
% 21.40/5.53 |
% 21.40/5.53 | Combining equations (409,1254) yields a new equation:
% 21.40/5.54 | (553) e4 = e2
% 21.40/5.54 |
% 21.40/5.54 | Simplifying 553 yields:
% 21.40/5.54 | (504) e4 = e2
% 21.40/5.54 |
% 21.40/5.54 | Equations (504) can reduce 42 to:
% 21.40/5.54 | (301) $false
% 21.40/5.54 |
% 21.40/5.54 |-The branch is then unsatisfiable
% 21.40/5.54 |-Branch two:
% 21.40/5.54 | (268) ~ (all_0_53_53 = e2)
% 21.40/5.54 | (637) all_0_56_56 = e2
% 21.40/5.54 |
% 21.40/5.54 | Equations (637) can reduce 190 to:
% 21.40/5.54 | (283) ~ (all_0_54_54 = e2)
% 21.40/5.54 |
% 21.40/5.54 | Equations (637) can reduce 194 to:
% 21.40/5.54 | (1140) ~ (all_0_55_55 = e2)
% 21.40/5.54 |
% 21.40/5.54 | Equations (637) can reduce 243 to:
% 21.40/5.54 | (451) ~ (all_0_57_57 = e2)
% 21.40/5.54 |
% 21.40/5.54 | Simplifying 451 yields:
% 21.40/5.54 | (452) ~ (all_0_57_57 = e2)
% 21.40/5.54 |
% 21.40/5.54 | Equations (637) can reduce 2 to:
% 21.40/5.54 | (1284) ~ (all_0_58_58 = e2)
% 21.40/5.54 |
% 21.40/5.54 | Simplifying 1284 yields:
% 21.40/5.54 | (274) ~ (all_0_58_58 = e2)
% 21.40/5.54 |
% 21.40/5.54 +-Applying beta-rule and splitting (1680), into two cases.
% 21.40/5.54 |-Branch one:
% 21.40/5.54 | (499) all_0_52_52 = e4
% 21.40/5.54 |
% 21.40/5.54 | Equations (499) can reduce 410 to:
% 21.40/5.54 | (301) $false
% 21.40/5.54 |
% 21.40/5.54 |-The branch is then unsatisfiable
% 21.40/5.54 |-Branch two:
% 21.40/5.54 | (410) ~ (all_0_52_52 = e4)
% 21.40/5.54 | (455) all_0_52_52 = e3
% 21.40/5.54 |
% 21.40/5.54 | Equations (455) can reduce 129 to:
% 21.40/5.54 | (698) ~ (all_0_39_39 = e3)
% 21.40/5.54 |
% 21.40/5.54 | Equations (455) can reduce 101 to:
% 21.40/5.54 | (49) ~ (all_0_47_47 = e3)
% 21.40/5.54 |
% 21.40/5.54 | Equations (455) can reduce 410 to:
% 21.40/5.54 | (426) ~ (e4 = e3)
% 21.40/5.54 |
% 21.40/5.54 | Simplifying 426 yields:
% 21.40/5.54 | (199) ~ (e4 = e3)
% 21.40/5.54 |
% 21.40/5.54 | Equations (455) can reduce 279 to:
% 21.40/5.54 | (231) ~ (e3 = e2)
% 21.40/5.54 |
% 21.40/5.54 | From (455) and (218) follows:
% 21.40/5.54 | (2082) op(e3, e3) = all_0_26_26
% 21.40/5.54 |
% 21.40/5.54 | From (455) and (236) follows:
% 21.40/5.54 | (2083) op(e3, e1) = all_0_25_25
% 21.40/5.54 |
% 21.40/5.54 | From (455) and (107) follows:
% 21.40/5.54 | (2084) op(e1, e3) = e3
% 21.40/5.54 |
% 21.40/5.54 +-Applying beta-rule and splitting (138), into two cases.
% 21.40/5.54 |-Branch one:
% 21.40/5.54 | (694) all_0_39_39 = e3
% 21.40/5.54 |
% 21.40/5.54 | Equations (694) can reduce 698 to:
% 21.40/5.54 | (301) $false
% 21.40/5.54 |
% 21.40/5.54 |-The branch is then unsatisfiable
% 21.40/5.54 |-Branch two:
% 21.40/5.54 | (698) ~ (all_0_39_39 = e3)
% 21.40/5.54 | (1001) all_0_40_40 = e3 | all_0_41_41 = e3
% 21.40/5.54 |
% 21.40/5.54 +-Applying beta-rule and splitting (140), into two cases.
% 21.40/5.54 |-Branch one:
% 21.40/5.54 | (768) all_0_40_40 = e3
% 21.40/5.54 |
% 21.40/5.54 | Combining equations (768,1380) yields a new equation:
% 21.40/5.54 | (572) e3 = e2
% 21.40/5.54 |
% 21.40/5.54 | Simplifying 572 yields:
% 21.40/5.54 | (573) e3 = e2
% 21.40/5.54 |
% 21.40/5.54 | Equations (573) can reduce 231 to:
% 21.40/5.54 | (301) $false
% 21.40/5.54 |
% 21.40/5.54 |-The branch is then unsatisfiable
% 21.40/5.54 |-Branch two:
% 21.40/5.54 | (994) ~ (all_0_40_40 = e3)
% 21.40/5.54 | (995) all_0_45_45 = e3 | all_0_57_57 = e3
% 21.40/5.54 |
% 21.40/5.54 | Equations (1380) can reduce 994 to:
% 21.40/5.54 | (284) ~ (e3 = e2)
% 21.40/5.54 |
% 21.40/5.54 | Simplifying 284 yields:
% 21.40/5.54 | (231) ~ (e3 = e2)
% 21.40/5.54 |
% 21.40/5.54 +-Applying beta-rule and splitting (1001), into two cases.
% 21.40/5.54 |-Branch one:
% 21.40/5.54 | (768) all_0_40_40 = e3
% 21.40/5.54 |
% 21.40/5.54 | Combining equations (768,1380) yields a new equation:
% 21.40/5.54 | (572) e3 = e2
% 21.40/5.54 |
% 21.40/5.54 | Simplifying 572 yields:
% 21.40/5.54 | (573) e3 = e2
% 21.40/5.54 |
% 21.40/5.54 | Equations (573) can reduce 231 to:
% 21.40/5.54 | (301) $false
% 21.40/5.54 |
% 21.40/5.54 |-The branch is then unsatisfiable
% 21.40/5.54 |-Branch two:
% 21.40/5.54 | (994) ~ (all_0_40_40 = e3)
% 21.40/5.54 | (564) all_0_41_41 = e3
% 21.40/5.54 |
% 21.40/5.54 | Equations (564) can reduce 110 to:
% 21.40/5.54 | (7) ~ (all_0_38_38 = e3)
% 21.40/5.54 |
% 21.40/5.54 | Equations (564) can reduce 126 to:
% 21.40/5.54 | (702) ~ (all_0_46_46 = e3)
% 21.40/5.54 |
% 21.40/5.54 | Simplifying 702 yields:
% 21.40/5.54 | (583) ~ (all_0_46_46 = e3)
% 21.40/5.54 |
% 21.40/5.54 | From (564) and (256) follows:
% 21.40/5.54 | (2091) op(e3, e4) = all_0_5_5
% 21.40/5.54 |
% 21.40/5.54 | From (564) and (37) follows:
% 21.40/5.54 | (7833) op(e3, e0) = all_0_6_6
% 21.40/5.54 |
% 21.40/5.54 +-Applying beta-rule and splitting (170), into two cases.
% 21.40/5.54 |-Branch one:
% 21.40/5.54 | (319) ~ (all_0_38_38 = e0)
% 21.40/5.54 |
% 21.40/5.54 +-Applying beta-rule and splitting (995), into two cases.
% 21.40/5.54 |-Branch one:
% 21.40/5.54 | (2016) all_0_45_45 = e3
% 21.40/5.54 |
% 21.40/5.54 | Equations (2016) can reduce 770 to:
% 21.40/5.54 | (301) $false
% 21.40/5.54 |
% 21.40/5.54 |-The branch is then unsatisfiable
% 21.40/5.54 |-Branch two:
% 21.40/5.54 | (770) ~ (all_0_45_45 = e3)
% 21.40/5.54 | (473) all_0_57_57 = e3
% 21.40/5.54 |
% 21.40/5.54 | Equations (473) can reduce 75 to:
% 21.40/5.54 | (770) ~ (all_0_45_45 = e3)
% 21.40/5.54 |
% 21.40/5.54 | Equations (473) can reduce 94 to:
% 21.40/5.54 | (191) ~ (all_0_49_49 = e3)
% 21.40/5.54 |
% 21.40/5.54 | Equations (473) can reduce 223 to:
% 21.40/5.54 | (206) ~ (all_0_54_54 = e3)
% 21.40/5.54 |
% 21.40/5.54 | Equations (473) can reduce 20 to:
% 21.40/5.54 | (1935) ~ (all_0_55_55 = e3)
% 21.40/5.54 |
% 21.40/5.54 | Equations (473) can reduce 5 to:
% 21.40/5.54 | (2875) ~ (all_0_58_58 = e3)
% 21.40/5.54 |
% 21.40/5.54 | Simplifying 2875 yields:
% 21.40/5.54 | (293) ~ (all_0_58_58 = e3)
% 21.40/5.54 |
% 21.40/5.54 | Equations (473) can reduce 452 to:
% 21.40/5.54 | (231) ~ (e3 = e2)
% 21.40/5.54 |
% 21.40/5.54 | Equations (473) can reduce 189 to:
% 21.40/5.54 | (81) ~ (e3 = e0)
% 21.40/5.54 |
% 21.40/5.54 | From (473) and (73) follows:
% 21.40/5.54 | (2161) op(e3, e1) = all_0_36_36
% 21.40/5.54 |
% 21.40/5.54 +-Applying beta-rule and splitting (76), into two cases.
% 21.40/5.54 |-Branch one:
% 21.40/5.54 | (294) all_0_38_38 = e4
% 21.40/5.54 |
% 21.40/5.54 | Equations (294) can reduce 139 to:
% 21.40/5.54 | (2853) ~ (all_0_42_42 = e4)
% 21.40/5.54 |
% 21.40/5.54 | Simplifying 2853 yields:
% 21.40/5.54 | (974) ~ (all_0_42_42 = e4)
% 21.40/5.54 |
% 21.40/5.54 | Equations (294) can reduce 88 to:
% 21.40/5.54 | (2094) ~ (all_0_54_54 = e4)
% 21.40/5.54 |
% 21.40/5.54 | Simplifying 2094 yields:
% 21.40/5.54 | (643) ~ (all_0_54_54 = e4)
% 21.40/5.54 |
% 21.40/5.54 | Equations (294) can reduce 7 to:
% 21.40/5.54 | (199) ~ (e4 = e3)
% 21.40/5.54 |
% 21.40/5.54 | Equations (294) can reduce 226 to:
% 21.40/5.54 | (42) ~ (e4 = e2)
% 21.40/5.54 |
% 21.40/5.54 | Equations (294) can reduce 319 to:
% 21.40/5.54 | (43) ~ (e4 = e0)
% 21.40/5.54 |
% 21.40/5.54 +-Applying beta-rule and splitting (143), into two cases.
% 21.40/5.54 |-Branch one:
% 21.40/5.54 | (315) all_0_38_38 = e0
% 21.40/5.54 |
% 21.40/5.54 | Combining equations (294,315) yields a new equation:
% 21.40/5.54 | (316) e4 = e0
% 21.40/5.54 |
% 21.40/5.54 | Simplifying 316 yields:
% 21.40/5.54 | (317) e4 = e0
% 21.40/5.54 |
% 21.40/5.54 | Equations (317) can reduce 43 to:
% 21.40/5.54 | (301) $false
% 21.40/5.54 |
% 21.40/5.54 |-The branch is then unsatisfiable
% 21.40/5.54 |-Branch two:
% 21.40/5.54 | (319) ~ (all_0_38_38 = e0)
% 21.40/5.54 | (320) all_0_39_39 = e0 | all_0_41_41 = e0
% 21.40/5.54 |
% 21.40/5.54 +-Applying beta-rule and splitting (320), into two cases.
% 21.40/5.54 |-Branch one:
% 21.40/5.54 | (323) all_0_39_39 = e0
% 21.40/5.54 |
% 21.40/5.54 | Equations (323) can reduce 157 to:
% 21.40/5.54 | (1320) ~ (all_0_47_47 = e0)
% 21.40/5.54 |
% 21.40/5.54 | Simplifying 1320 yields:
% 21.40/5.54 | (328) ~ (all_0_47_47 = e0)
% 21.40/5.54 |
% 21.40/5.54 | Equations (323) can reduce 347 to:
% 21.40/5.54 | (313) ~ (e2 = e0)
% 21.40/5.54 |
% 21.40/5.54 | Simplifying 313 yields:
% 21.40/5.54 | (133) ~ (e2 = e0)
% 21.40/5.54 |
% 21.40/5.54 | Equations (323) can reduce 67 to:
% 21.40/5.54 | (685) ~ (e1 = e0)
% 21.40/5.54 |
% 21.40/5.54 | Simplifying 685 yields:
% 21.40/5.54 | (247) ~ (e1 = e0)
% 21.40/5.54 |
% 21.40/5.54 | From (323) and (82) follows:
% 21.40/5.54 | (2191) op(e0, e4) = all_0_1_1
% 21.40/5.54 |
% 21.40/5.54 | From (323) and (112) follows:
% 21.40/5.54 | (2896) op(e0, e3) = all_0_2_2
% 21.40/5.54 |
% 21.40/5.54 | From (323) and (154) follows:
% 21.40/5.54 | (2897) op(e4, e3) = e0
% 21.40/5.54 |
% 21.40/5.54 | Instantiating formula (151) with e4, e1, e2, all_0_27_27 and discharging atoms op(e4, e1) = all_0_27_27, op(e4, e1) = e2, yields:
% 21.40/5.54 | (1734) all_0_27_27 = e2
% 21.40/5.54 |
% 21.40/5.54 | Instantiating formula (151) with e3, e4, all_0_5_5, all_0_42_42 and discharging atoms op(e3, e4) = all_0_5_5, op(e3, e4) = all_0_42_42, yields:
% 21.40/5.54 | (7873) all_0_5_5 = all_0_42_42
% 21.40/5.54 |
% 21.40/5.54 | Instantiating formula (151) with e3, e3, all_0_26_26, all_0_10_10 and discharging atoms op(e3, e3) = all_0_10_10, op(e3, e3) = all_0_26_26, yields:
% 21.40/5.54 | (1719) all_0_10_10 = all_0_26_26
% 21.40/5.54 |
% 21.40/5.54 | Instantiating formula (151) with e3, e3, e2, all_0_10_10 and discharging atoms op(e3, e3) = all_0_10_10, op(e3, e3) = e2, yields:
% 21.40/5.54 | (1720) all_0_10_10 = e2
% 21.40/5.54 |
% 21.40/5.54 | Instantiating formula (151) with e3, e1, all_0_25_25, all_0_45_45 and discharging atoms op(e3, e1) = all_0_25_25, op(e3, e1) = all_0_45_45, yields:
% 21.40/5.54 | (7876) all_0_25_25 = all_0_45_45
% 21.40/5.54 |
% 21.40/5.54 | Instantiating formula (151) with e3, e1, all_0_36_36, all_0_25_25 and discharging atoms op(e3, e1) = all_0_25_25, op(e3, e1) = all_0_36_36, yields:
% 21.40/5.54 | (2245) all_0_25_25 = all_0_36_36
% 21.40/5.54 |
% 21.40/5.54 | Instantiating formula (151) with e3, e0, all_0_6_6, all_0_46_46 and discharging atoms op(e3, e0) = all_0_6_6, op(e3, e0) = all_0_46_46, yields:
% 21.40/5.54 | (7878) all_0_6_6 = all_0_46_46
% 21.40/5.54 |
% 21.40/5.54 | Instantiating formula (151) with e2, e1, all_0_4_4, all_0_49_49 and discharging atoms op(e2, e1) = all_0_4_4, op(e2, e1) = all_0_49_49, yields:
% 21.40/5.54 | (2999) all_0_4_4 = all_0_49_49
% 21.40/5.54 |
% 21.40/5.54 | Instantiating formula (151) with e0, e4, all_0_1_1, all_0_54_54 and discharging atoms op(e0, e4) = all_0_1_1, op(e0, e4) = all_0_54_54, yields:
% 21.40/5.54 | (7880) all_0_1_1 = all_0_54_54
% 21.40/5.54 |
% 21.40/5.54 | Instantiating formula (151) with e0, e3, all_0_2_2, all_0_55_55 and discharging atoms op(e0, e3) = all_0_2_2, op(e0, e3) = all_0_55_55, yields:
% 21.40/5.54 | (7881) all_0_2_2 = all_0_55_55
% 21.40/5.54 |
% 21.40/5.54 | Combining equations (1720,1719) yields a new equation:
% 21.40/5.54 | (826) all_0_26_26 = e2
% 21.40/5.54 |
% 21.40/5.54 | Combining equations (7876,2245) yields a new equation:
% 21.40/5.54 | (7883) all_0_36_36 = all_0_45_45
% 21.40/5.54 |
% 21.40/5.54 | Combining equations (826,1719) yields a new equation:
% 21.40/5.54 | (1720) all_0_10_10 = e2
% 21.40/5.54 |
% 21.40/5.54 | From (1734) and (3353) follows:
% 21.40/5.54 | (2906) op(e4, e1) = e2
% 21.40/5.54 |
% 21.40/5.54 | From (7880) and (2191) follows:
% 21.40/5.54 | (258) op(e0, e4) = all_0_54_54
% 21.40/5.54 |
% 21.40/5.54 +-Applying beta-rule and splitting (248), into two cases.
% 21.40/5.54 |-Branch one:
% 21.40/5.54 | (299) ~ (all_0_58_58 = e4)
% 21.40/5.54 |
% 21.40/5.54 +-Applying beta-rule and splitting (221), into two cases.
% 21.40/5.54 |-Branch one:
% 21.40/5.54 | (545) all_0_41_41 = e4
% 21.40/5.54 |
% 21.40/5.54 | Combining equations (564,545) yields a new equation:
% 21.40/5.54 | (420) e4 = e3
% 21.40/5.54 |
% 21.40/5.54 | Equations (420) can reduce 199 to:
% 21.40/5.54 | (301) $false
% 21.40/5.54 |
% 21.40/5.54 |-The branch is then unsatisfiable
% 21.40/5.54 |-Branch two:
% 21.40/5.54 | (1038) ~ (all_0_41_41 = e4)
% 21.40/5.54 | (1051) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_58_58 = e4
% 21.40/5.54 |
% 21.40/5.54 | Equations (564) can reduce 1038 to:
% 21.40/5.54 | (426) ~ (e4 = e3)
% 21.40/5.54 |
% 21.40/5.54 | Simplifying 426 yields:
% 21.40/5.54 | (199) ~ (e4 = e3)
% 21.40/5.54 |
% 21.40/5.54 +-Applying beta-rule and splitting (106), into two cases.
% 21.40/5.54 |-Branch one:
% 21.40/5.54 | (717) all_0_54_54 = e4
% 21.40/5.54 |
% 21.40/5.54 | Equations (717) can reduce 643 to:
% 21.40/5.54 | (301) $false
% 21.40/5.54 |
% 21.40/5.54 |-The branch is then unsatisfiable
% 21.40/5.54 |-Branch two:
% 21.40/5.54 | (643) ~ (all_0_54_54 = e4)
% 21.40/5.54 | (1869) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4
% 21.40/5.54 |
% 21.40/5.54 +-Applying beta-rule and splitting (1869), into two cases.
% 21.40/5.54 |-Branch one:
% 21.40/5.54 | (503) all_0_55_55 = e4
% 21.40/5.54 |
% 21.40/5.54 | Equations (503) can reduce 153 to:
% 21.40/5.54 | (497) ~ (all_0_47_47 = e4)
% 21.40/5.54 |
% 21.40/5.54 | Equations (503) can reduce 144 to:
% 21.40/5.54 | (643) ~ (all_0_54_54 = e4)
% 21.40/5.54 |
% 21.40/5.54 | Equations (503) can reduce 1140 to:
% 21.40/5.54 | (42) ~ (e4 = e2)
% 21.40/5.54 |
% 21.40/5.54 +-Applying beta-rule and splitting (176), into two cases.
% 21.40/5.54 |-Branch one:
% 21.40/5.54 | (462) all_0_47_47 = e4
% 21.40/5.54 |
% 21.40/5.54 | Equations (462) can reduce 497 to:
% 21.40/5.54 | (301) $false
% 21.40/5.54 |
% 21.40/5.54 |-The branch is then unsatisfiable
% 21.40/5.54 |-Branch two:
% 21.40/5.54 | (497) ~ (all_0_47_47 = e4)
% 21.40/5.54 | (3048) all_0_49_49 = e4 | all_0_50_50 = e4
% 21.40/5.54 |
% 21.40/5.54 +-Applying beta-rule and splitting (164), into two cases.
% 21.40/5.54 |-Branch one:
% 21.40/5.54 | (300) all_0_58_58 = e2
% 21.40/5.54 |
% 21.40/5.54 | Equations (300) can reduce 274 to:
% 21.40/5.54 | (301) $false
% 21.40/5.54 |
% 21.40/5.54 |-The branch is then unsatisfiable
% 21.40/5.54 |-Branch two:
% 21.40/5.54 | (274) ~ (all_0_58_58 = e2)
% 21.40/5.54 | (303) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e0
% 21.40/5.54 |
% 21.40/5.54 +-Applying beta-rule and splitting (9), into two cases.
% 21.40/5.54 |-Branch one:
% 21.40/5.54 | (724) all_0_54_54 = e1
% 21.40/5.54 |
% 21.40/5.54 | Equations (724) can reduce 156 to:
% 21.40/5.54 | (7912) ~ (all_0_58_58 = e1)
% 21.40/5.54 |
% 21.40/5.54 | Simplifying 7912 yields:
% 21.40/5.54 | (149) ~ (all_0_58_58 = e1)
% 21.40/5.54 |
% 21.40/5.54 | Equations (724) can reduce 643 to:
% 21.40/5.54 | (479) ~ (e4 = e1)
% 21.40/5.54 |
% 21.40/5.54 | Simplifying 479 yields:
% 21.40/5.54 | (114) ~ (e4 = e1)
% 21.40/5.54 |
% 21.40/5.54 | From (724) and (52) follows:
% 21.40/5.54 | (727) op(e1, e4) = all_0_30_30
% 21.40/5.54 |
% 21.40/5.54 | From (724) and (258) follows:
% 21.40/5.54 | (2176) op(e0, e4) = e1
% 21.40/5.54 |
% 21.40/5.54 +-Applying beta-rule and splitting (227), into two cases.
% 21.40/5.54 |-Branch one:
% 21.40/5.54 | (737) all_0_42_42 = e2
% 21.40/5.54 |
% 21.40/5.54 | Equations (737) can reduce 277 to:
% 21.40/5.54 | (301) $false
% 21.40/5.54 |
% 21.40/5.54 |-The branch is then unsatisfiable
% 21.40/5.54 |-Branch two:
% 21.40/5.54 | (277) ~ (all_0_42_42 = e2)
% 21.40/5.54 | (783) all_0_42_42 = e4 | all_0_42_42 = e1 | all_0_42_42 = e0
% 21.40/5.54 |
% 21.40/5.54 +-Applying beta-rule and splitting (3048), into two cases.
% 21.40/5.54 |-Branch one:
% 21.40/5.54 | (491) all_0_49_49 = e4
% 21.40/5.54 |
% 21.40/5.54 | Equations (491) can reduce 264 to:
% 21.40/5.54 | (42) ~ (e4 = e2)
% 21.40/5.55 |
% 21.40/5.55 | Equations (491) can reduce 241 to:
% 21.40/5.55 | (43) ~ (e4 = e0)
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (209), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (483) all_0_47_47 = e1
% 21.40/5.55 |
% 21.40/5.55 | Equations (483) can reduce 49 to:
% 21.40/5.55 | (786) ~ (e3 = e1)
% 21.40/5.55 |
% 21.40/5.55 | Simplifying 786 yields:
% 21.40/5.55 | (234) ~ (e3 = e1)
% 21.40/5.55 |
% 21.40/5.55 | Equations (483) can reduce 328 to:
% 21.40/5.55 | (247) ~ (e1 = e0)
% 21.40/5.55 |
% 21.40/5.55 | From (483) and (142) follows:
% 21.40/5.55 | (715) op(e1, e3) = all_0_17_17
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (27), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (315) all_0_38_38 = e0
% 21.40/5.55 |
% 21.40/5.55 | Combining equations (294,315) yields a new equation:
% 21.40/5.55 | (316) e4 = e0
% 21.40/5.55 |
% 21.40/5.55 | Simplifying 316 yields:
% 21.40/5.55 | (317) e4 = e0
% 21.40/5.55 |
% 21.40/5.55 | Equations (317) can reduce 43 to:
% 21.40/5.55 | (301) $false
% 21.40/5.55 |
% 21.40/5.55 |-The branch is then unsatisfiable
% 21.40/5.55 |-Branch two:
% 21.40/5.55 | (319) ~ (all_0_38_38 = e0)
% 21.40/5.55 | (342) all_0_42_42 = e0 | all_0_54_54 = e0
% 21.40/5.55 |
% 21.40/5.55 | Equations (294) can reduce 319 to:
% 21.40/5.55 | (43) ~ (e4 = e0)
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (245), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (369) all_0_54_54 = e0
% 21.40/5.55 |
% 21.40/5.55 | Combining equations (369,724) yields a new equation:
% 21.40/5.55 | (935) e1 = e0
% 21.40/5.55 |
% 21.40/5.55 | Equations (935) can reduce 247 to:
% 21.40/5.55 | (301) $false
% 21.40/5.55 |
% 21.40/5.55 |-The branch is then unsatisfiable
% 21.40/5.55 |-Branch two:
% 21.40/5.55 | (682) ~ (all_0_54_54 = e0)
% 21.40/5.55 | (7941) all_0_55_55 = e0 | all_0_56_56 = e0 | all_0_58_58 = e0
% 21.40/5.55 |
% 21.40/5.55 | Equations (724) can reduce 682 to:
% 21.40/5.55 | (247) ~ (e1 = e0)
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (1051), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (1056) all_0_46_46 = e4
% 21.40/5.55 |
% 21.40/5.55 | Equations (1056) can reduce 14 to:
% 21.40/5.55 | (974) ~ (all_0_42_42 = e4)
% 21.40/5.55 |
% 21.40/5.55 | Equations (1056) can reduce 113 to:
% 21.40/5.55 | (114) ~ (e4 = e1)
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (30), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (976) all_0_42_42 = e0
% 21.40/5.55 |
% 21.40/5.55 | Combining equations (976,7873) yields a new equation:
% 21.40/5.55 | (802) all_0_5_5 = e0
% 21.40/5.55 |
% 21.40/5.55 | Equations (976) can reduce 974 to:
% 21.40/5.55 | (311) ~ (e4 = e0)
% 21.40/5.55 |
% 21.40/5.55 | Simplifying 311 yields:
% 21.40/5.55 | (43) ~ (e4 = e0)
% 21.40/5.55 |
% 21.40/5.55 | Equations (976) can reduce 277 to:
% 21.40/5.55 | (313) ~ (e2 = e0)
% 21.40/5.55 |
% 21.40/5.55 | Simplifying 313 yields:
% 21.40/5.55 | (133) ~ (e2 = e0)
% 21.40/5.55 |
% 21.40/5.55 | From (976) and (159) follows:
% 21.40/5.55 | (2108) op(e0, e4) = all_0_8_8
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (7941), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (520) all_0_55_55 = e0
% 21.40/5.55 |
% 21.40/5.55 | Combining equations (503,520) yields a new equation:
% 21.40/5.55 | (316) e4 = e0
% 21.40/5.55 |
% 21.40/5.55 | Simplifying 316 yields:
% 21.40/5.55 | (317) e4 = e0
% 21.40/5.55 |
% 21.40/5.55 | Equations (317) can reduce 43 to:
% 21.40/5.55 | (301) $false
% 21.40/5.55 |
% 21.40/5.55 |-The branch is then unsatisfiable
% 21.40/5.55 |-Branch two:
% 21.40/5.55 | (372) ~ (all_0_55_55 = e0)
% 21.40/5.55 | (7958) all_0_56_56 = e0 | all_0_58_58 = e0
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (211), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (784) all_0_45_45 = e1
% 21.40/5.55 |
% 21.40/5.55 | Combining equations (784,7883) yields a new equation:
% 21.40/5.55 | (2257) all_0_36_36 = e1
% 21.40/5.55 |
% 21.40/5.55 | Equations (784) can reduce 770 to:
% 21.40/5.55 | (786) ~ (e3 = e1)
% 21.40/5.55 |
% 21.40/5.55 | Simplifying 786 yields:
% 21.40/5.55 | (234) ~ (e3 = e1)
% 21.40/5.55 |
% 21.40/5.55 | Equations (784) can reduce 730 to:
% 21.40/5.55 | (788) ~ (e2 = e1)
% 21.40/5.55 |
% 21.40/5.55 | Simplifying 788 yields:
% 21.40/5.55 | (122) ~ (e2 = e1)
% 21.40/5.55 |
% 21.40/5.55 | From (784) and (50) follows:
% 21.40/5.55 | (791) op(e1, e3) = all_0_12_12
% 21.40/5.55 |
% 21.40/5.55 | From (784) and (44) follows:
% 21.40/5.55 | (792) op(e1, e1) = all_0_13_13
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (7958), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (538) all_0_56_56 = e0
% 21.40/5.55 |
% 21.40/5.55 | Combining equations (538,637) yields a new equation:
% 21.40/5.55 | (345) e2 = e0
% 21.40/5.55 |
% 21.40/5.55 | Equations (345) can reduce 133 to:
% 21.40/5.55 | (301) $false
% 21.40/5.55 |
% 21.40/5.55 |-The branch is then unsatisfiable
% 21.40/5.55 |-Branch two:
% 21.40/5.55 | (374) ~ (all_0_56_56 = e0)
% 21.40/5.55 | (308) all_0_58_58 = e0
% 21.40/5.55 |
% 21.40/5.55 | Equations (308) can reduce 293 to:
% 21.40/5.55 | (392) ~ (e3 = e0)
% 21.40/5.55 |
% 21.40/5.55 | Simplifying 392 yields:
% 21.40/5.55 | (81) ~ (e3 = e0)
% 21.40/5.55 |
% 21.40/5.55 | Equations (308) can reduce 274 to:
% 21.40/5.55 | (313) ~ (e2 = e0)
% 21.40/5.55 |
% 21.40/5.55 | Simplifying 313 yields:
% 21.40/5.55 | (133) ~ (e2 = e0)
% 21.40/5.55 |
% 21.40/5.55 | Equations (308) can reduce 149 to:
% 21.40/5.55 | (685) ~ (e1 = e0)
% 21.40/5.55 |
% 21.40/5.55 | Simplifying 685 yields:
% 21.40/5.55 | (247) ~ (e1 = e0)
% 21.40/5.55 |
% 21.40/5.55 | Instantiating formula (151) with e1, e4, all_0_30_30, e2 and discharging atoms op(e1, e4) = all_0_30_30, op(e1, e4) = e2, yields:
% 21.40/5.55 | (816) all_0_30_30 = e2
% 21.40/5.55 |
% 21.40/5.55 | Instantiating formula (151) with e1, e3, all_0_12_12, e3 and discharging atoms op(e1, e3) = all_0_12_12, op(e1, e3) = e3, yields:
% 21.40/5.55 | (2249) all_0_12_12 = e3
% 21.40/5.55 |
% 21.40/5.55 | Instantiating formula (151) with e1, e3, all_0_17_17, all_0_12_12 and discharging atoms op(e1, e3) = all_0_12_12, op(e1, e3) = all_0_17_17, yields:
% 21.40/5.55 | (817) all_0_12_12 = all_0_17_17
% 21.40/5.55 |
% 21.40/5.55 | Instantiating formula (151) with e1, e1, all_0_13_13, e0 and discharging atoms op(e1, e1) = all_0_13_13, op(e1, e1) = e0, yields:
% 21.40/5.55 | (819) all_0_13_13 = e0
% 21.40/5.55 |
% 21.40/5.55 | Instantiating formula (151) with e0, e4, e1, all_0_8_8 and discharging atoms op(e0, e4) = all_0_8_8, op(e0, e4) = e1, yields:
% 21.40/5.55 | (2254) all_0_8_8 = e1
% 21.40/5.55 |
% 21.40/5.55 | Combining equations (2249,817) yields a new equation:
% 21.40/5.55 | (2256) all_0_17_17 = e3
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (128), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (837) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)) | (all_0_42_42 = e2 & ~ (all_0_44_44 = e4))
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (837), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (838) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1))
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (838), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (839) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56))
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (839), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (840) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55))
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (840), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (841) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54))
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (841), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (842) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53))
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (842), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (843) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52))
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (843), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (844) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51))
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (844), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (845) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56))
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (845), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (846) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53))
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (846), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (847) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47))
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (847), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (848) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55))
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (848), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (849) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52))
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (849), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (850) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47))
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (850), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (851) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42))
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (851), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (852) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54))
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (852), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (853) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51))
% 21.40/5.55 |
% 21.40/5.55 +-Applying beta-rule and splitting (853), into two cases.
% 21.40/5.55 |-Branch one:
% 21.40/5.55 | (854) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)
% 21.40/5.55 |
% 21.40/5.55 | Applying alpha-rule on (854) yields:
% 21.40/5.55 | (855) all_0_2_2 = e4
% 21.40/5.55 | (856) ~ (all_0_1_1 = e3)
% 21.40/5.55 | (857) ~ (all_0_39_39 = all_0_42_42)
% 21.40/5.55 |
% 21.40/5.55 | Equations (323,976) can reduce 857 to:
% 21.40/5.55 | (301) $false
% 21.40/5.55 |
% 21.40/5.55 |-The branch is then unsatisfiable
% 21.40/5.55 |-Branch two:
% 21.40/5.55 | (861) all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)
% 21.40/5.55 |
% 21.40/5.55 | Applying alpha-rule on (861) yields:
% 21.40/5.55 | (862) all_0_4_4 = e4
% 21.40/5.55 | (863) ~ (all_0_3_3 = e1)
% 21.40/5.55 | (864) ~ (all_0_40_40 = all_0_51_51)
% 21.40/5.55 |
% 21.40/5.55 | Equations (1380,276) can reduce 864 to:
% 21.40/5.55 | (301) $false
% 21.40/5.55 |
% 21.40/5.55 |-The branch is then unsatisfiable
% 21.40/5.55 |-Branch two:
% 21.40/5.55 | (868) all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)
% 21.40/5.55 |
% 21.40/5.55 | Applying alpha-rule on (868) yields:
% 21.40/5.55 | (869) all_0_6_6 = e4
% 21.40/5.55 | (870) ~ (all_0_5_5 = e0)
% 21.40/5.55 | (871) ~ (all_0_41_41 = all_0_54_54)
% 21.40/5.55 |
% 21.40/5.55 | Equations (802) can reduce 870 to:
% 21.40/5.55 | (301) $false
% 21.40/5.55 |
% 21.40/5.55 |-The branch is then unsatisfiable
% 21.40/5.55 |-Branch two:
% 21.40/5.55 | (873) all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)
% 21.40/5.55 |
% 21.40/5.55 | Applying alpha-rule on (873) yields:
% 21.40/5.55 | (874) all_0_8_8 = e3
% 21.40/5.55 | (875) ~ (all_0_7_7 = e4)
% 21.40/5.55 | (857) ~ (all_0_39_39 = all_0_42_42)
% 21.40/5.55 |
% 21.40/5.55 | Combining equations (874,2254) yields a new equation:
% 21.40/5.55 | (707) e3 = e1
% 21.40/5.55 |
% 21.40/5.55 | Simplifying 707 yields:
% 21.40/5.55 | (708) e3 = e1
% 21.40/5.55 |
% 21.40/5.55 | Equations (708) can reduce 234 to:
% 21.40/5.55 | (301) $false
% 21.40/5.55 |
% 21.40/5.55 |-The branch is then unsatisfiable
% 21.40/5.55 |-Branch two:
% 21.40/5.55 | (880) all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)
% 21.40/5.55 |
% 21.40/5.55 | Applying alpha-rule on (880) yields:
% 21.40/5.55 | (881) all_0_11_11 = e3
% 21.40/5.55 | (882) ~ (all_0_10_10 = e2)
% 21.40/5.55 | (883) ~ (all_0_44_44 = all_0_47_47)
% 21.40/5.55 |
% 21.40/5.55 | Equations (1720) can reduce 882 to:
% 21.40/5.55 | (301) $false
% 21.40/5.55 |
% 21.40/5.55 |-The branch is then unsatisfiable
% 21.40/5.55 |-Branch two:
% 21.40/5.55 | (886) all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)
% 21.40/5.55 |
% 21.40/5.55 | Applying alpha-rule on (886) yields:
% 21.40/5.55 | (887) all_0_13_13 = e3
% 21.40/5.55 | (888) ~ (all_0_12_12 = e1)
% 21.40/5.55 | (889) ~ (all_0_45_45 = all_0_52_52)
% 21.40/5.55 |
% 21.40/5.55 | Combining equations (887,819) yields a new equation:
% 21.40/5.55 | (414) e3 = e0
% 21.40/5.55 |
% 21.40/5.55 | Simplifying 414 yields:
% 21.40/5.55 | (415) e3 = e0
% 21.40/5.55 |
% 21.40/5.55 | Equations (415) can reduce 81 to:
% 21.40/5.55 | (301) $false
% 21.40/5.55 |
% 21.40/5.55 |-The branch is then unsatisfiable
% 21.40/5.55 |-Branch two:
% 21.40/5.55 | (893) all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)
% 21.40/5.55 |
% 21.40/5.55 | Applying alpha-rule on (893) yields:
% 21.40/5.55 | (894) all_0_15_15 = e3
% 21.40/5.55 | (895) ~ (all_0_14_14 = e0)
% 21.40/5.55 | (896) ~ (all_0_46_46 = all_0_55_55)
% 21.40/5.55 |
% 21.40/5.55 | Equations (1056,503) can reduce 896 to:
% 21.40/5.55 | (301) $false
% 21.40/5.55 |
% 21.40/5.55 |-The branch is then unsatisfiable
% 21.40/5.55 |-Branch two:
% 21.40/5.55 | (900) all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)
% 21.40/5.55 |
% 21.40/5.55 | Applying alpha-rule on (900) yields:
% 21.40/5.55 | (901) all_0_17_17 = e2
% 21.40/5.55 | (902) ~ (all_0_16_16 = e3)
% 21.40/5.55 | (883) ~ (all_0_44_44 = all_0_47_47)
% 21.40/5.55 |
% 21.40/5.56 | Combining equations (901,2256) yields a new equation:
% 21.40/5.56 | (573) e3 = e2
% 21.40/5.56 |
% 21.40/5.56 | Equations (573) can reduce 231 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (906) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)
% 21.40/5.56 |
% 21.40/5.56 | Applying alpha-rule on (906) yields:
% 21.40/5.56 | (907) all_0_20_20 = e2
% 21.40/5.56 | (908) ~ (all_0_19_19 = e1)
% 21.40/5.56 | (909) ~ (all_0_49_49 = all_0_53_53)
% 21.40/5.56 |
% 21.40/5.56 | Equations (491,409) can reduce 909 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (912) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)
% 21.40/5.56 |
% 21.40/5.56 | Applying alpha-rule on (912) yields:
% 21.40/5.56 | (913) all_0_22_22 = e2
% 21.40/5.56 | (914) ~ (all_0_21_21 = e0)
% 21.40/5.56 | (915) ~ (all_0_50_50 = all_0_56_56)
% 21.40/5.56 |
% 21.40/5.56 | Equations (331,637) can reduce 915 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (918) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)
% 21.40/5.56 |
% 21.40/5.56 | Applying alpha-rule on (918) yields:
% 21.40/5.56 | (919) all_0_24_24 = e1
% 21.40/5.56 | (920) ~ (all_0_23_23 = e4)
% 21.40/5.56 | (864) ~ (all_0_40_40 = all_0_51_51)
% 21.40/5.56 |
% 21.40/5.56 | Combining equations (919,290) yields a new equation:
% 21.40/5.56 | (708) e3 = e1
% 21.40/5.56 |
% 21.40/5.56 | Equations (708) can reduce 234 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (924) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)
% 21.40/5.56 |
% 21.40/5.56 | Applying alpha-rule on (924) yields:
% 21.40/5.56 | (925) all_0_26_26 = e1
% 21.40/5.56 | (926) ~ (all_0_25_25 = e3)
% 21.40/5.56 | (889) ~ (all_0_45_45 = all_0_52_52)
% 21.40/5.56 |
% 21.40/5.56 | Combining equations (925,826) yields a new equation:
% 21.40/5.56 | (928) e2 = e1
% 21.40/5.56 |
% 21.40/5.56 | Equations (928) can reduce 122 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (930) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)
% 21.40/5.56 |
% 21.40/5.56 | Applying alpha-rule on (930) yields:
% 21.40/5.56 | (931) all_0_28_28 = e1
% 21.40/5.56 | (932) ~ (all_0_27_27 = e2)
% 21.40/5.56 | (909) ~ (all_0_49_49 = all_0_53_53)
% 21.40/5.56 |
% 21.40/5.56 | Equations (491,409) can reduce 909 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (937) all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)
% 21.40/5.56 |
% 21.40/5.56 | Applying alpha-rule on (937) yields:
% 21.40/5.56 | (938) all_0_30_30 = e0
% 21.40/5.56 | (939) ~ (all_0_29_29 = e4)
% 21.40/5.56 | (871) ~ (all_0_41_41 = all_0_54_54)
% 21.40/5.56 |
% 21.40/5.56 | Combining equations (816,938) yields a new equation:
% 21.40/5.56 | (352) e2 = e0
% 21.40/5.56 |
% 21.40/5.56 | Simplifying 352 yields:
% 21.40/5.56 | (345) e2 = e0
% 21.40/5.56 |
% 21.40/5.56 | Equations (345) can reduce 133 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (944) all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)
% 21.40/5.56 |
% 21.40/5.56 | Applying alpha-rule on (944) yields:
% 21.40/5.56 | (945) all_0_32_32 = e0
% 21.40/5.56 | (946) ~ (all_0_31_31 = e3)
% 21.40/5.56 | (896) ~ (all_0_46_46 = all_0_55_55)
% 21.40/5.56 |
% 21.40/5.56 | Equations (1056,503) can reduce 896 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (949) all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)
% 21.40/5.56 |
% 21.40/5.56 | Applying alpha-rule on (949) yields:
% 21.40/5.56 | (950) all_0_34_34 = e0
% 21.40/5.56 | (951) ~ (all_0_33_33 = e2)
% 21.40/5.56 | (915) ~ (all_0_50_50 = all_0_56_56)
% 21.40/5.56 |
% 21.40/5.56 | Equations (331,637) can reduce 915 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (956) all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)
% 21.40/5.56 |
% 21.40/5.56 | Applying alpha-rule on (956) yields:
% 21.40/5.56 | (957) all_0_36_36 = e0
% 21.40/5.56 | (958) ~ (all_0_35_35 = e1)
% 21.40/5.56 | (726) ~ (all_0_57_57 = e1)
% 21.40/5.56 |
% 21.40/5.56 | Combining equations (2257,957) yields a new equation:
% 21.40/5.56 | (934) e1 = e0
% 21.40/5.56 |
% 21.40/5.56 | Simplifying 934 yields:
% 21.40/5.56 | (935) e1 = e0
% 21.40/5.56 |
% 21.40/5.56 | Equations (935) can reduce 247 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (963) all_0_42_42 = e2 & ~ (all_0_44_44 = e4)
% 21.40/5.56 |
% 21.40/5.56 | Applying alpha-rule on (963) yields:
% 21.40/5.56 | (737) all_0_42_42 = e2
% 21.40/5.56 | (407) ~ (all_0_44_44 = e4)
% 21.40/5.56 |
% 21.40/5.56 | Combining equations (737,976) yields a new equation:
% 21.40/5.56 | (352) e2 = e0
% 21.40/5.56 |
% 21.40/5.56 | Simplifying 352 yields:
% 21.40/5.56 | (345) e2 = e0
% 21.40/5.56 |
% 21.40/5.56 | Equations (345) can reduce 133 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (969) all_0_53_53 = e4 & ~ (all_0_51_51 = e2)
% 21.40/5.56 |
% 21.40/5.56 | Applying alpha-rule on (969) yields:
% 21.40/5.56 | (409) all_0_53_53 = e4
% 21.40/5.56 | (971) ~ (all_0_51_51 = e2)
% 21.40/5.56 |
% 21.40/5.56 | Equations (276) can reduce 971 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (477) ~ (all_0_45_45 = e1)
% 21.40/5.56 | (982) all_0_49_49 = e1 | all_0_57_57 = e1
% 21.40/5.56 |
% 21.40/5.56 +-Applying beta-rule and splitting (982), into two cases.
% 21.40/5.56 |-Branch one:
% 21.40/5.56 | (487) all_0_49_49 = e1
% 21.40/5.56 |
% 21.40/5.56 | Combining equations (487,491) yields a new equation:
% 21.40/5.56 | (484) e4 = e1
% 21.40/5.56 |
% 21.40/5.56 | Equations (484) can reduce 114 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (478) ~ (all_0_49_49 = e1)
% 21.40/5.56 | (476) all_0_57_57 = e1
% 21.40/5.56 |
% 21.40/5.56 | Combining equations (476,473) yields a new equation:
% 21.40/5.56 | (708) e3 = e1
% 21.40/5.56 |
% 21.40/5.56 | Equations (708) can reduce 234 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (680) ~ (all_0_42_42 = e0)
% 21.40/5.56 | (1978) all_0_43_43 = e0 | all_0_44_44 = e0 | all_0_46_46 = e0
% 21.40/5.56 |
% 21.40/5.56 +-Applying beta-rule and splitting (342), into two cases.
% 21.40/5.56 |-Branch one:
% 21.40/5.56 | (976) all_0_42_42 = e0
% 21.40/5.56 |
% 21.40/5.56 | Equations (976) can reduce 680 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (680) ~ (all_0_42_42 = e0)
% 21.40/5.56 | (369) all_0_54_54 = e0
% 21.40/5.56 |
% 21.40/5.56 | Combining equations (724,369) yields a new equation:
% 21.40/5.56 | (934) e1 = e0
% 21.40/5.56 |
% 21.40/5.56 | Simplifying 934 yields:
% 21.40/5.56 | (935) e1 = e0
% 21.40/5.56 |
% 21.40/5.56 | Equations (935) can reduce 247 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (1083) ~ (all_0_46_46 = e4)
% 21.40/5.56 | (1084) all_0_50_50 = e4 | all_0_58_58 = e4
% 21.40/5.56 |
% 21.40/5.56 +-Applying beta-rule and splitting (91), into two cases.
% 21.40/5.56 |-Branch one:
% 21.40/5.56 | (794) all_0_42_42 = e4
% 21.40/5.56 |
% 21.40/5.56 | Equations (794) can reduce 974 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (974) ~ (all_0_42_42 = e4)
% 21.40/5.56 | (3996) all_0_44_44 = e4 | all_0_45_45 = e4 | all_0_46_46 = e4
% 21.40/5.56 |
% 21.40/5.56 +-Applying beta-rule and splitting (7941), into two cases.
% 21.40/5.56 |-Branch one:
% 21.40/5.56 | (520) all_0_55_55 = e0
% 21.40/5.56 |
% 21.40/5.56 | Combining equations (503,520) yields a new equation:
% 21.40/5.56 | (316) e4 = e0
% 21.40/5.56 |
% 21.40/5.56 | Simplifying 316 yields:
% 21.40/5.56 | (317) e4 = e0
% 21.40/5.56 |
% 21.40/5.56 | Equations (317) can reduce 43 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (372) ~ (all_0_55_55 = e0)
% 21.40/5.56 | (7958) all_0_56_56 = e0 | all_0_58_58 = e0
% 21.40/5.56 |
% 21.40/5.56 +-Applying beta-rule and splitting (7958), into two cases.
% 21.40/5.56 |-Branch one:
% 21.40/5.56 | (538) all_0_56_56 = e0
% 21.40/5.56 |
% 21.40/5.56 | Combining equations (637,538) yields a new equation:
% 21.40/5.56 | (352) e2 = e0
% 21.40/5.56 |
% 21.40/5.56 | Simplifying 352 yields:
% 21.40/5.56 | (345) e2 = e0
% 21.40/5.56 |
% 21.40/5.56 | Equations (345) can reduce 133 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (374) ~ (all_0_56_56 = e0)
% 21.40/5.56 | (308) all_0_58_58 = e0
% 21.40/5.56 |
% 21.40/5.56 | Equations (308) can reduce 149 to:
% 21.40/5.56 | (685) ~ (e1 = e0)
% 21.40/5.56 |
% 21.40/5.56 | Simplifying 685 yields:
% 21.40/5.56 | (247) ~ (e1 = e0)
% 21.40/5.56 |
% 21.40/5.56 +-Applying beta-rule and splitting (30), into two cases.
% 21.40/5.56 |-Branch one:
% 21.40/5.56 | (976) all_0_42_42 = e0
% 21.40/5.56 |
% 21.40/5.56 | Equations (976) can reduce 974 to:
% 21.40/5.56 | (311) ~ (e4 = e0)
% 21.40/5.56 |
% 21.40/5.56 | Simplifying 311 yields:
% 21.40/5.56 | (43) ~ (e4 = e0)
% 21.40/5.56 |
% 21.40/5.56 +-Applying beta-rule and splitting (1084), into two cases.
% 21.40/5.56 |-Branch one:
% 21.40/5.56 | (335) all_0_50_50 = e4
% 21.40/5.56 |
% 21.40/5.56 | Combining equations (335,331) yields a new equation:
% 21.40/5.56 | (553) e4 = e2
% 21.40/5.56 |
% 21.40/5.56 | Simplifying 553 yields:
% 21.40/5.56 | (504) e4 = e2
% 21.40/5.56 |
% 21.40/5.56 | Equations (504) can reduce 42 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (359) ~ (all_0_50_50 = e4)
% 21.40/5.56 | (304) all_0_58_58 = e4
% 21.40/5.56 |
% 21.40/5.56 | Combining equations (304,308) yields a new equation:
% 21.40/5.56 | (316) e4 = e0
% 21.40/5.56 |
% 21.40/5.56 | Simplifying 316 yields:
% 21.40/5.56 | (317) e4 = e0
% 21.40/5.56 |
% 21.40/5.56 | Equations (317) can reduce 43 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (680) ~ (all_0_42_42 = e0)
% 21.40/5.56 | (1978) all_0_43_43 = e0 | all_0_44_44 = e0 | all_0_46_46 = e0
% 21.40/5.56 |
% 21.40/5.56 +-Applying beta-rule and splitting (342), into two cases.
% 21.40/5.56 |-Branch one:
% 21.40/5.56 | (976) all_0_42_42 = e0
% 21.40/5.56 |
% 21.40/5.56 | Equations (976) can reduce 680 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (680) ~ (all_0_42_42 = e0)
% 21.40/5.56 | (369) all_0_54_54 = e0
% 21.40/5.56 |
% 21.40/5.56 | Combining equations (724,369) yields a new equation:
% 21.40/5.56 | (934) e1 = e0
% 21.40/5.56 |
% 21.40/5.56 | Simplifying 934 yields:
% 21.40/5.56 | (935) e1 = e0
% 21.40/5.56 |
% 21.40/5.56 | Equations (935) can reduce 247 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (486) ~ (all_0_47_47 = e1)
% 21.40/5.56 | (487) all_0_49_49 = e1
% 21.40/5.56 |
% 21.40/5.56 | Combining equations (487,491) yields a new equation:
% 21.40/5.56 | (484) e4 = e1
% 21.40/5.56 |
% 21.40/5.56 | Equations (484) can reduce 114 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (464) ~ (all_0_49_49 = e4)
% 21.40/5.56 | (335) all_0_50_50 = e4
% 21.40/5.56 |
% 21.40/5.56 | Combining equations (331,335) yields a new equation:
% 21.40/5.56 | (504) e4 = e2
% 21.40/5.56 |
% 21.40/5.56 | Equations (504) can reduce 42 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (1566) ~ (all_0_54_54 = e1)
% 21.40/5.56 | (1691) all_0_55_55 = e1 | all_0_57_57 = e1
% 21.40/5.56 |
% 21.40/5.56 +-Applying beta-rule and splitting (186), into two cases.
% 21.40/5.56 |-Branch one:
% 21.40/5.56 | (979) all_0_42_42 = e1
% 21.40/5.56 |
% 21.40/5.56 | Equations (979) can reduce 208 to:
% 21.40/5.56 | (3832) ~ (all_0_45_45 = e1)
% 21.40/5.56 |
% 21.40/5.56 | Simplifying 3832 yields:
% 21.40/5.56 | (477) ~ (all_0_45_45 = e1)
% 21.40/5.56 |
% 21.40/5.56 | Equations (979) can reduce 974 to:
% 21.40/5.56 | (479) ~ (e4 = e1)
% 21.40/5.56 |
% 21.40/5.56 | Simplifying 479 yields:
% 21.40/5.56 | (114) ~ (e4 = e1)
% 21.40/5.56 |
% 21.40/5.56 | Equations (979) can reduce 68 to:
% 21.40/5.56 | (786) ~ (e3 = e1)
% 21.40/5.56 |
% 21.40/5.56 | Simplifying 786 yields:
% 21.40/5.56 | (234) ~ (e3 = e1)
% 21.40/5.56 |
% 21.40/5.56 +-Applying beta-rule and splitting (211), into two cases.
% 21.40/5.56 |-Branch one:
% 21.40/5.56 | (784) all_0_45_45 = e1
% 21.40/5.56 |
% 21.40/5.56 | Equations (784) can reduce 477 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (477) ~ (all_0_45_45 = e1)
% 21.40/5.56 | (982) all_0_49_49 = e1 | all_0_57_57 = e1
% 21.40/5.56 |
% 21.40/5.56 +-Applying beta-rule and splitting (982), into two cases.
% 21.40/5.56 |-Branch one:
% 21.40/5.56 | (487) all_0_49_49 = e1
% 21.40/5.56 |
% 21.40/5.56 | Equations (487) can reduce 191 to:
% 21.40/5.56 | (786) ~ (e3 = e1)
% 21.40/5.56 |
% 21.40/5.56 | Simplifying 786 yields:
% 21.40/5.56 | (234) ~ (e3 = e1)
% 21.40/5.56 |
% 21.40/5.56 +-Applying beta-rule and splitting (1691), into two cases.
% 21.40/5.56 |-Branch one:
% 21.40/5.56 | (1020) all_0_55_55 = e1
% 21.40/5.56 |
% 21.40/5.56 | Combining equations (503,1020) yields a new equation:
% 21.40/5.56 | (858) e4 = e1
% 21.40/5.56 |
% 21.40/5.56 | Simplifying 858 yields:
% 21.40/5.56 | (484) e4 = e1
% 21.40/5.56 |
% 21.40/5.56 | Equations (484) can reduce 114 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (1696) ~ (all_0_55_55 = e1)
% 21.40/5.56 | (476) all_0_57_57 = e1
% 21.40/5.56 |
% 21.40/5.56 | Combining equations (476,473) yields a new equation:
% 21.40/5.56 | (708) e3 = e1
% 21.40/5.56 |
% 21.40/5.56 | Equations (708) can reduce 234 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (478) ~ (all_0_49_49 = e1)
% 21.40/5.56 | (476) all_0_57_57 = e1
% 21.40/5.56 |
% 21.40/5.56 | Combining equations (473,476) yields a new equation:
% 21.40/5.56 | (707) e3 = e1
% 21.40/5.56 |
% 21.40/5.56 | Simplifying 707 yields:
% 21.40/5.56 | (708) e3 = e1
% 21.40/5.56 |
% 21.40/5.56 | Equations (708) can reduce 234 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (785) ~ (all_0_42_42 = e1)
% 21.40/5.56 | (724) all_0_54_54 = e1
% 21.40/5.56 |
% 21.40/5.56 | Equations (724) can reduce 1566 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (375) ~ (all_0_55_55 = e4)
% 21.40/5.56 | (1874) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4
% 21.40/5.56 |
% 21.40/5.56 +-Applying beta-rule and splitting (1874), into two cases.
% 21.40/5.56 |-Branch one:
% 21.40/5.56 | (523) all_0_56_56 = e4
% 21.40/5.56 |
% 21.40/5.56 | Combining equations (637,523) yields a new equation:
% 21.40/5.56 | (504) e4 = e2
% 21.40/5.56 |
% 21.40/5.56 | Equations (504) can reduce 42 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (376) ~ (all_0_56_56 = e4)
% 21.40/5.56 | (1880) all_0_57_57 = e4 | all_0_58_58 = e4
% 21.40/5.56 |
% 21.40/5.56 +-Applying beta-rule and splitting (1880), into two cases.
% 21.40/5.56 |-Branch one:
% 21.40/5.56 | (469) all_0_57_57 = e4
% 21.40/5.56 |
% 21.40/5.56 | Combining equations (473,469) yields a new equation:
% 21.40/5.56 | (420) e4 = e3
% 21.40/5.56 |
% 21.40/5.56 | Equations (420) can reduce 199 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (377) ~ (all_0_57_57 = e4)
% 21.40/5.56 | (304) all_0_58_58 = e4
% 21.40/5.56 |
% 21.40/5.56 | Equations (304) can reduce 299 to:
% 21.40/5.56 | (301) $false
% 21.40/5.56 |
% 21.40/5.56 |-The branch is then unsatisfiable
% 21.40/5.56 |-Branch two:
% 21.40/5.56 | (304) all_0_58_58 = e4
% 21.40/5.56 | (369) all_0_54_54 = e0
% 21.40/5.56 |
% 21.40/5.56 | Equations (369) can reduce 206 to:
% 21.40/5.56 | (392) ~ (e3 = e0)
% 21.40/5.56 |
% 21.40/5.56 | Simplifying 392 yields:
% 21.40/5.56 | (81) ~ (e3 = e0)
% 21.40/5.56 |
% 21.40/5.56 | Equations (369) can reduce 283 to:
% 21.40/5.56 | (313) ~ (e2 = e0)
% 21.40/5.56 |
% 21.40/5.56 | Simplifying 313 yields:
% 21.40/5.56 | (133) ~ (e2 = e0)
% 21.40/5.56 |
% 21.40/5.56 | From (369) and (147) follows:
% 21.40/5.57 | (8225) op(e0, e0) = all_0_29_29
% 21.40/5.57 |
% 21.40/5.57 | From (304) and (225) follows:
% 21.40/5.57 | (8226) op(e0, e0) = e4
% 21.40/5.57 |
% 21.40/5.57 +-Applying beta-rule and splitting (96), into two cases.
% 21.40/5.57 |-Branch one:
% 21.40/5.57 | (326) all_0_41_41 = e0
% 21.40/5.57 |
% 21.40/5.57 | Combining equations (564,326) yields a new equation:
% 21.40/5.57 | (414) e3 = e0
% 21.40/5.57 |
% 21.40/5.57 | Simplifying 414 yields:
% 21.40/5.57 | (415) e3 = e0
% 21.40/5.57 |
% 21.40/5.57 | Equations (415) can reduce 81 to:
% 21.40/5.57 | (301) $false
% 21.40/5.57 |
% 21.40/5.57 |-The branch is then unsatisfiable
% 21.40/5.57 |-Branch two:
% 21.40/5.57 | (309) ~ (all_0_41_41 = e0)
% 21.40/5.57 | (1650) all_0_46_46 = e0 | all_0_50_50 = e0 | all_0_58_58 = e0
% 21.40/5.57 |
% 21.40/5.57 +-Applying beta-rule and splitting (186), into two cases.
% 21.40/5.57 |-Branch one:
% 21.40/5.57 | (979) all_0_42_42 = e1
% 21.40/5.57 |
% 21.40/5.57 | Equations (979) can reduce 208 to:
% 21.40/5.57 | (3832) ~ (all_0_45_45 = e1)
% 21.40/5.57 |
% 21.40/5.57 | Simplifying 3832 yields:
% 21.40/5.57 | (477) ~ (all_0_45_45 = e1)
% 21.40/5.57 |
% 21.40/5.57 | Equations (979) can reduce 68 to:
% 21.40/5.57 | (786) ~ (e3 = e1)
% 21.40/5.57 |
% 21.40/5.57 | Simplifying 786 yields:
% 21.40/5.57 | (234) ~ (e3 = e1)
% 21.40/5.57 |
% 21.40/5.57 | From (979) and (159) follows:
% 21.40/5.57 | (1567) op(e1, e4) = all_0_8_8
% 21.40/5.57 |
% 21.40/5.57 | From (979) and (105) follows:
% 21.40/5.57 | (1568) op(e1, e3) = all_0_7_7
% 21.40/5.57 |
% 21.40/5.57 +-Applying beta-rule and splitting (211), into two cases.
% 21.40/5.57 |-Branch one:
% 21.40/5.57 | (784) all_0_45_45 = e1
% 21.40/5.57 |
% 21.40/5.57 | Equations (784) can reduce 477 to:
% 21.40/5.57 | (301) $false
% 21.40/5.57 |
% 21.40/5.57 |-The branch is then unsatisfiable
% 21.40/5.57 |-Branch two:
% 21.40/5.57 | (477) ~ (all_0_45_45 = e1)
% 21.40/5.57 | (982) all_0_49_49 = e1 | all_0_57_57 = e1
% 21.40/5.57 |
% 21.40/5.57 +-Applying beta-rule and splitting (982), into two cases.
% 21.40/5.57 |-Branch one:
% 21.40/5.57 | (487) all_0_49_49 = e1
% 21.40/5.57 |
% 21.40/5.57 | Combining equations (487,2999) yields a new equation:
% 21.40/5.57 | (810) all_0_4_4 = e1
% 21.40/5.57 |
% 21.40/5.57 | Equations (487) can reduce 23 to:
% 21.40/5.57 | (477) ~ (all_0_45_45 = e1)
% 21.40/5.57 |
% 21.40/5.57 | Equations (487) can reduce 93 to:
% 21.40/5.57 | (486) ~ (all_0_47_47 = e1)
% 21.40/5.57 |
% 21.40/5.57 | Equations (487) can reduce 264 to:
% 21.40/5.57 | (788) ~ (e2 = e1)
% 21.40/5.57 |
% 21.40/5.57 | Simplifying 788 yields:
% 21.40/5.57 | (122) ~ (e2 = e1)
% 21.40/5.57 |
% 21.40/5.57 | From (487) and (162) follows:
% 21.40/5.57 | (3316) op(e1, e1) = all_0_20_20
% 21.40/5.57 |
% 21.40/5.57 +-Applying beta-rule and splitting (176), into two cases.
% 21.40/5.57 |-Branch one:
% 21.40/5.57 | (462) all_0_47_47 = e4
% 21.40/5.57 |
% 21.40/5.57 | Equations (462) can reduce 153 to:
% 21.40/5.57 | (4449) ~ (all_0_55_55 = e4)
% 21.40/5.57 |
% 21.40/5.57 | Simplifying 4449 yields:
% 21.40/5.57 | (375) ~ (all_0_55_55 = e4)
% 21.40/5.57 |
% 21.40/5.57 | From (462) and (142) follows:
% 21.40/5.57 | (3346) op(e4, e3) = all_0_17_17
% 21.40/5.57 |
% 21.40/5.57 +-Applying beta-rule and splitting (160), into two cases.
% 21.40/5.57 |-Branch one:
% 21.40/5.57 | (752) all_0_45_45 = e2
% 21.40/5.57 |
% 21.40/5.57 | Equations (752) can reduce 730 to:
% 21.40/5.57 | (301) $false
% 21.40/5.57 |
% 21.40/5.57 |-The branch is then unsatisfiable
% 21.40/5.57 |-Branch two:
% 21.40/5.57 | (730) ~ (all_0_45_45 = e2)
% 21.40/5.57 | (2552) all_0_45_45 = e4 | all_0_45_45 = e3 | all_0_45_45 = e1
% 21.40/5.57 |
% 21.40/5.57 +-Applying beta-rule and splitting (2552), into two cases.
% 21.40/5.57 |-Branch one:
% 21.40/5.57 | (481) all_0_45_45 = e4
% 21.40/5.57 |
% 21.40/5.57 | Combining equations (481,7883) yields a new equation:
% 21.40/5.57 | (813) all_0_36_36 = e4
% 21.40/5.57 |
% 21.40/5.57 | Equations (481) can reduce 34 to:
% 21.40/5.57 | (1175) ~ (all_0_46_46 = e4)
% 21.40/5.57 |
% 21.40/5.57 | Simplifying 1175 yields:
% 21.40/5.57 | (1083) ~ (all_0_46_46 = e4)
% 21.40/5.57 |
% 21.40/5.57 | Equations (481) can reduce 770 to:
% 21.40/5.57 | (199) ~ (e4 = e3)
% 21.40/5.57 |
% 21.40/5.57 | Equations (481) can reduce 477 to:
% 21.40/5.57 | (114) ~ (e4 = e1)
% 21.40/5.57 |
% 21.40/5.57 | Equations (481) can reduce 163 to:
% 21.40/5.57 | (43) ~ (e4 = e0)
% 21.40/5.57 |
% 21.40/5.57 | From (481) and (50) follows:
% 21.40/5.57 | (8266) op(e4, e3) = all_0_12_12
% 21.40/5.57 |
% 21.40/5.57 | From (481) and (44) follows:
% 21.40/5.57 | (8267) op(e4, e1) = all_0_13_13
% 21.40/5.57 |
% 21.40/5.57 +-Applying beta-rule and splitting (220), into two cases.
% 21.40/5.57 |-Branch one:
% 21.40/5.57 | (706) all_0_43_43 = e1
% 21.40/5.57 |
% 21.40/5.57 | Combining equations (439,706) yields a new equation:
% 21.40/5.57 | (1250) e2 = e1
% 21.40/5.57 |
% 21.40/5.57 | Simplifying 1250 yields:
% 21.40/5.57 | (928) e2 = e1
% 21.40/5.57 |
% 21.40/5.57 | Equations (928) can reduce 122 to:
% 21.40/5.57 | (301) $false
% 21.40/5.57 |
% 21.40/5.57 |-The branch is then unsatisfiable
% 21.40/5.57 |-Branch two:
% 21.40/5.57 | (710) ~ (all_0_43_43 = e1)
% 21.40/5.57 | (711) all_0_47_47 = e1 | all_0_55_55 = e1
% 21.40/5.57 |
% 21.40/5.57 +-Applying beta-rule and splitting (100), into two cases.
% 21.40/5.57 |-Branch one:
% 21.40/5.57 | (571) all_0_46_46 = e2
% 21.40/5.57 |
% 21.40/5.57 | Equations (571) can reduce 575 to:
% 21.40/5.57 | (301) $false
% 21.40/5.57 |
% 21.40/5.57 |-The branch is then unsatisfiable
% 21.40/5.57 |-Branch two:
% 21.40/5.57 | (575) ~ (all_0_46_46 = e2)
% 21.40/5.57 | (2113) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e0
% 21.40/5.57 |
% 21.40/5.57 +-Applying beta-rule and splitting (711), into two cases.
% 21.40/5.57 |-Branch one:
% 21.40/5.57 | (483) all_0_47_47 = e1
% 21.40/5.57 |
% 21.40/5.57 | Combining equations (462,483) yields a new equation:
% 21.40/5.57 | (858) e4 = e1
% 21.40/5.57 |
% 21.40/5.57 | Simplifying 858 yields:
% 21.40/5.57 | (484) e4 = e1
% 21.40/5.57 |
% 21.40/5.57 | Equations (484) can reduce 114 to:
% 21.40/5.57 | (301) $false
% 21.40/5.57 |
% 21.40/5.57 |-The branch is then unsatisfiable
% 21.40/5.57 |-Branch two:
% 21.40/5.57 | (486) ~ (all_0_47_47 = e1)
% 21.40/5.57 | (1020) all_0_55_55 = e1
% 21.40/5.57 |
% 21.40/5.57 | Combining equations (1020,7881) yields a new equation:
% 21.40/5.57 | (812) all_0_2_2 = e1
% 21.40/5.57 |
% 21.40/5.57 | Equations (1020) can reduce 375 to:
% 21.40/5.57 | (479) ~ (e4 = e1)
% 21.40/5.57 |
% 21.40/5.57 | Simplifying 479 yields:
% 21.40/5.57 | (114) ~ (e4 = e1)
% 21.40/5.57 |
% 21.40/5.57 | Equations (1020) can reduce 1935 to:
% 21.40/5.57 | (786) ~ (e3 = e1)
% 21.40/5.57 |
% 21.40/5.57 | Simplifying 786 yields:
% 21.40/5.57 | (234) ~ (e3 = e1)
% 21.40/5.57 |
% 21.40/5.57 | Equations (1020) can reduce 1140 to:
% 21.40/5.57 | (788) ~ (e2 = e1)
% 21.40/5.57 |
% 21.40/5.57 | Simplifying 788 yields:
% 21.40/5.57 | (122) ~ (e2 = e1)
% 21.40/5.57 |
% 21.40/5.57 | From (1020) and (97) follows:
% 21.40/5.57 | (4196) op(e1, e3) = all_0_32_32
% 21.40/5.57 |
% 21.40/5.57 +-Applying beta-rule and splitting (1650), into two cases.
% 21.40/5.57 |-Branch one:
% 21.40/5.57 | (1651) all_0_46_46 = e0
% 21.40/5.57 |
% 21.40/5.57 | Combining equations (1651,7878) yields a new equation:
% 21.40/5.57 | (8293) all_0_6_6 = e0
% 21.40/5.57 |
% 21.40/5.57 | Equations (1651) can reduce 1083 to:
% 21.40/5.57 | (311) ~ (e4 = e0)
% 21.40/5.57 |
% 21.40/5.57 | Simplifying 311 yields:
% 21.40/5.57 | (43) ~ (e4 = e0)
% 21.40/5.57 |
% 21.40/5.57 | Equations (1651) can reduce 583 to:
% 21.40/5.57 | (392) ~ (e3 = e0)
% 21.40/5.57 |
% 21.40/5.57 | Simplifying 392 yields:
% 21.40/5.57 | (81) ~ (e3 = e0)
% 21.40/5.57 |
% 21.40/5.57 | Equations (1651) can reduce 575 to:
% 21.40/5.57 | (313) ~ (e2 = e0)
% 21.40/5.57 |
% 21.40/5.57 | Simplifying 313 yields:
% 21.40/5.57 | (133) ~ (e2 = e0)
% 21.40/5.57 |
% 21.40/5.57 | From (1651) and (183) follows:
% 21.40/5.57 | (8300) op(e0, e0) = all_0_15_15
% 21.40/5.57 |
% 21.40/5.57 | Instantiating formula (151) with e4, e3, all_0_12_12, e0 and discharging atoms op(e4, e3) = all_0_12_12, op(e4, e3) = e0, yields:
% 21.40/5.57 | (8301) all_0_12_12 = e0
% 21.40/5.57 |
% 21.40/5.57 | Instantiating formula (151) with e4, e3, all_0_17_17, all_0_12_12 and discharging atoms op(e4, e3) = all_0_12_12, op(e4, e3) = all_0_17_17, yields:
% 21.40/5.57 | (817) all_0_12_12 = all_0_17_17
% 21.40/5.57 |
% 21.40/5.57 | Instantiating formula (151) with e4, e1, all_0_13_13, e2 and discharging atoms op(e4, e1) = all_0_13_13, op(e4, e1) = e2, yields:
% 21.40/5.57 | (8303) all_0_13_13 = e2
% 21.40/5.57 |
% 21.40/5.57 | Instantiating formula (151) with e1, e4, all_0_8_8, e2 and discharging atoms op(e1, e4) = all_0_8_8, op(e1, e4) = e2, yields:
% 21.40/5.57 | (1730) all_0_8_8 = e2
% 21.40/5.57 |
% 21.40/5.57 | Instantiating formula (151) with e1, e3, all_0_7_7, e3 and discharging atoms op(e1, e3) = all_0_7_7, op(e1, e3) = e3, yields:
% 21.40/5.57 | (5311) all_0_7_7 = e3
% 21.40/5.57 |
% 21.40/5.57 | Instantiating formula (151) with e1, e3, all_0_32_32, all_0_7_7 and discharging atoms op(e1, e3) = all_0_7_7, op(e1, e3) = all_0_32_32, yields:
% 21.40/5.57 | (5093) all_0_7_7 = all_0_32_32
% 21.40/5.57 |
% 21.40/5.57 | Instantiating formula (151) with e1, e1, all_0_20_20, e0 and discharging atoms op(e1, e1) = all_0_20_20, op(e1, e1) = e0, yields:
% 21.40/5.57 | (3372) all_0_20_20 = e0
% 21.40/5.57 |
% 21.40/5.57 | Instantiating formula (151) with e0, e0, all_0_29_29, all_0_15_15 and discharging atoms op(e0, e0) = all_0_15_15, op(e0, e0) = all_0_29_29, yields:
% 21.40/5.57 | (8308) all_0_15_15 = all_0_29_29
% 21.40/5.57 |
% 21.40/5.57 | Instantiating formula (151) with e0, e0, e4, all_0_15_15 and discharging atoms op(e0, e0) = all_0_15_15, op(e0, e0) = e4, yields:
% 21.40/5.57 | (8309) all_0_15_15 = e4
% 21.40/5.57 |
% 21.40/5.57 | Combining equations (5093,5311) yields a new equation:
% 21.40/5.57 | (8310) all_0_32_32 = e3
% 21.40/5.57 |
% 21.40/5.57 | Simplifying 8310 yields:
% 21.40/5.57 | (4235) all_0_32_32 = e3
% 21.40/5.57 |
% 21.40/5.57 | Combining equations (817,8301) yields a new equation:
% 21.40/5.57 | (8312) all_0_17_17 = e0
% 21.40/5.57 |
% 21.40/5.58 | Simplifying 8312 yields:
% 21.40/5.58 | (3368) all_0_17_17 = e0
% 21.40/5.58 |
% 21.40/5.58 | Combining equations (8308,8309) yields a new equation:
% 21.40/5.58 | (8314) all_0_29_29 = e4
% 21.40/5.58 |
% 21.40/5.58 | Simplifying 8314 yields:
% 21.40/5.58 | (8315) all_0_29_29 = e4
% 21.40/5.58 |
% 21.40/5.58 +-Applying beta-rule and splitting (128), into two cases.
% 21.40/5.58 |-Branch one:
% 21.40/5.58 | (837) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)) | (all_0_42_42 = e2 & ~ (all_0_44_44 = e4))
% 21.40/5.58 |
% 21.40/5.58 +-Applying beta-rule and splitting (837), into two cases.
% 21.40/5.58 |-Branch one:
% 21.40/5.58 | (838) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1))
% 21.40/5.58 |
% 21.40/5.58 +-Applying beta-rule and splitting (838), into two cases.
% 21.40/5.58 |-Branch one:
% 21.40/5.58 | (839) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56))
% 21.40/5.58 |
% 21.40/5.58 +-Applying beta-rule and splitting (839), into two cases.
% 21.40/5.58 |-Branch one:
% 21.40/5.58 | (840) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55))
% 21.40/5.58 |
% 21.40/5.58 +-Applying beta-rule and splitting (840), into two cases.
% 21.40/5.58 |-Branch one:
% 21.40/5.58 | (841) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54))
% 21.40/5.58 |
% 21.40/5.58 +-Applying beta-rule and splitting (841), into two cases.
% 21.40/5.58 |-Branch one:
% 21.40/5.58 | (842) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53))
% 21.40/5.58 |
% 21.40/5.58 +-Applying beta-rule and splitting (842), into two cases.
% 21.40/5.58 |-Branch one:
% 21.40/5.58 | (843) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52))
% 21.40/5.58 |
% 21.40/5.58 +-Applying beta-rule and splitting (843), into two cases.
% 21.40/5.58 |-Branch one:
% 21.40/5.58 | (844) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51))
% 21.40/5.58 |
% 21.40/5.58 +-Applying beta-rule and splitting (844), into two cases.
% 21.40/5.58 |-Branch one:
% 21.40/5.58 | (845) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56))
% 21.40/5.58 |
% 21.40/5.58 +-Applying beta-rule and splitting (845), into two cases.
% 21.40/5.58 |-Branch one:
% 21.40/5.58 | (846) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53))
% 21.40/5.58 |
% 21.40/5.58 +-Applying beta-rule and splitting (846), into two cases.
% 21.40/5.58 |-Branch one:
% 21.40/5.58 | (847) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47))
% 21.40/5.58 |
% 21.40/5.58 +-Applying beta-rule and splitting (847), into two cases.
% 21.40/5.58 |-Branch one:
% 21.40/5.58 | (848) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55))
% 21.40/5.58 |
% 21.40/5.58 +-Applying beta-rule and splitting (848), into two cases.
% 21.40/5.58 |-Branch one:
% 21.40/5.58 | (849) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52))
% 21.40/5.58 |
% 21.40/5.58 +-Applying beta-rule and splitting (849), into two cases.
% 21.40/5.58 |-Branch one:
% 21.40/5.58 | (850) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47))
% 21.40/5.58 |
% 21.40/5.58 +-Applying beta-rule and splitting (850), into two cases.
% 21.40/5.58 |-Branch one:
% 21.40/5.58 | (851) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42))
% 21.40/5.58 |
% 21.40/5.58 +-Applying beta-rule and splitting (851), into two cases.
% 21.40/5.58 |-Branch one:
% 21.40/5.58 | (852) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54))
% 21.40/5.58 |
% 21.40/5.58 +-Applying beta-rule and splitting (852), into two cases.
% 21.40/5.58 |-Branch one:
% 21.40/5.58 | (853) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51))
% 21.40/5.58 |
% 21.40/5.58 +-Applying beta-rule and splitting (853), into two cases.
% 21.40/5.58 |-Branch one:
% 21.40/5.58 | (854) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)
% 21.40/5.58 |
% 21.40/5.58 | Applying alpha-rule on (854) yields:
% 21.40/5.58 | (855) all_0_2_2 = e4
% 21.40/5.58 | (856) ~ (all_0_1_1 = e3)
% 21.40/5.58 | (857) ~ (all_0_39_39 = all_0_42_42)
% 21.40/5.58 |
% 21.40/5.58 | Combining equations (855,812) yields a new equation:
% 21.40/5.58 | (858) e4 = e1
% 21.40/5.58 |
% 21.40/5.58 | Simplifying 858 yields:
% 21.40/5.58 | (484) e4 = e1
% 21.40/5.58 |
% 21.40/5.58 | Equations (484) can reduce 114 to:
% 21.40/5.58 | (301) $false
% 21.40/5.58 |
% 21.40/5.58 |-The branch is then unsatisfiable
% 21.40/5.58 |-Branch two:
% 21.40/5.58 | (861) all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)
% 21.40/5.58 |
% 21.40/5.58 | Applying alpha-rule on (861) yields:
% 21.40/5.58 | (862) all_0_4_4 = e4
% 21.40/5.58 | (863) ~ (all_0_3_3 = e1)
% 21.40/5.58 | (864) ~ (all_0_40_40 = all_0_51_51)
% 21.40/5.58 |
% 21.40/5.58 | Combining equations (862,810) yields a new equation:
% 21.40/5.58 | (858) e4 = e1
% 21.40/5.58 |
% 21.40/5.58 | Simplifying 858 yields:
% 21.40/5.58 | (484) e4 = e1
% 21.40/5.58 |
% 21.40/5.58 | Equations (484) can reduce 114 to:
% 21.40/5.58 | (301) $false
% 21.40/5.58 |
% 21.40/5.58 |-The branch is then unsatisfiable
% 21.40/5.58 |-Branch two:
% 21.40/5.58 | (868) all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)
% 21.40/5.58 |
% 21.40/5.58 | Applying alpha-rule on (868) yields:
% 21.40/5.58 | (869) all_0_6_6 = e4
% 21.40/5.58 | (870) ~ (all_0_5_5 = e0)
% 21.40/5.58 | (871) ~ (all_0_41_41 = all_0_54_54)
% 21.40/5.58 |
% 21.40/5.58 | Combining equations (869,8293) yields a new equation:
% 21.40/5.58 | (316) e4 = e0
% 21.40/5.58 |
% 21.40/5.58 | Simplifying 316 yields:
% 21.40/5.58 | (317) e4 = e0
% 21.40/5.58 |
% 21.40/5.58 | Equations (317) can reduce 43 to:
% 21.40/5.58 | (301) $false
% 21.40/5.58 |
% 21.40/5.58 |-The branch is then unsatisfiable
% 21.40/5.58 |-Branch two:
% 21.40/5.58 | (873) all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)
% 21.40/5.58 |
% 21.40/5.58 | Applying alpha-rule on (873) yields:
% 21.40/5.58 | (874) all_0_8_8 = e3
% 21.40/5.58 | (875) ~ (all_0_7_7 = e4)
% 21.40/5.58 | (857) ~ (all_0_39_39 = all_0_42_42)
% 21.40/5.58 |
% 21.40/5.58 | Combining equations (874,1730) yields a new equation:
% 21.40/5.58 | (572) e3 = e2
% 21.40/5.58 |
% 21.40/5.58 | Simplifying 572 yields:
% 21.40/5.58 | (573) e3 = e2
% 21.40/5.58 |
% 21.40/5.58 | Equations (573) can reduce 231 to:
% 21.40/5.58 | (301) $false
% 21.40/5.58 |
% 21.40/5.58 |-The branch is then unsatisfiable
% 21.40/5.58 |-Branch two:
% 21.40/5.58 | (880) all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)
% 21.40/5.58 |
% 21.40/5.58 | Applying alpha-rule on (880) yields:
% 21.40/5.58 | (881) all_0_11_11 = e3
% 21.40/5.58 | (882) ~ (all_0_10_10 = e2)
% 21.40/5.58 | (883) ~ (all_0_44_44 = all_0_47_47)
% 21.40/5.58 |
% 21.40/5.58 | Equations (1720) can reduce 882 to:
% 21.40/5.58 | (301) $false
% 21.40/5.58 |
% 21.40/5.58 |-The branch is then unsatisfiable
% 21.40/5.58 |-Branch two:
% 21.40/5.58 | (886) all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)
% 21.40/5.58 |
% 21.40/5.58 | Applying alpha-rule on (886) yields:
% 21.40/5.58 | (887) all_0_13_13 = e3
% 21.40/5.58 | (888) ~ (all_0_12_12 = e1)
% 21.40/5.58 | (889) ~ (all_0_45_45 = all_0_52_52)
% 21.40/5.58 |
% 21.40/5.58 | Combining equations (887,8303) yields a new equation:
% 21.40/5.58 | (572) e3 = e2
% 21.40/5.58 |
% 21.40/5.58 | Simplifying 572 yields:
% 21.40/5.58 | (573) e3 = e2
% 21.40/5.58 |
% 21.40/5.58 | Equations (573) can reduce 231 to:
% 21.40/5.58 | (301) $false
% 21.40/5.58 |
% 21.40/5.58 |-The branch is then unsatisfiable
% 21.40/5.58 |-Branch two:
% 21.40/5.58 | (893) all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)
% 21.40/5.58 |
% 21.40/5.58 | Applying alpha-rule on (893) yields:
% 21.40/5.58 | (894) all_0_15_15 = e3
% 21.40/5.58 | (895) ~ (all_0_14_14 = e0)
% 21.40/5.58 | (896) ~ (all_0_46_46 = all_0_55_55)
% 21.40/5.58 |
% 21.40/5.58 | Combining equations (8309,894) yields a new equation:
% 21.40/5.58 | (508) e4 = e3
% 21.40/5.58 |
% 21.40/5.58 | Simplifying 508 yields:
% 21.40/5.58 | (420) e4 = e3
% 21.40/5.58 |
% 21.40/5.58 | Equations (420) can reduce 199 to:
% 21.40/5.58 | (301) $false
% 21.40/5.58 |
% 21.40/5.58 |-The branch is then unsatisfiable
% 21.40/5.58 |-Branch two:
% 21.40/5.58 | (900) all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)
% 21.40/5.58 |
% 21.40/5.58 | Applying alpha-rule on (900) yields:
% 21.40/5.58 | (901) all_0_17_17 = e2
% 21.40/5.58 | (902) ~ (all_0_16_16 = e3)
% 21.40/5.58 | (883) ~ (all_0_44_44 = all_0_47_47)
% 21.40/5.58 |
% 21.40/5.58 | Combining equations (901,3368) yields a new equation:
% 21.40/5.58 | (352) e2 = e0
% 21.40/5.58 |
% 21.40/5.58 | Simplifying 352 yields:
% 21.40/5.58 | (345) e2 = e0
% 21.40/5.58 |
% 21.40/5.58 | Equations (345) can reduce 133 to:
% 21.40/5.58 | (301) $false
% 21.40/5.58 |
% 21.40/5.58 |-The branch is then unsatisfiable
% 21.40/5.58 |-Branch two:
% 21.40/5.58 | (906) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)
% 21.40/5.58 |
% 21.40/5.58 | Applying alpha-rule on (906) yields:
% 21.40/5.58 | (907) all_0_20_20 = e2
% 21.40/5.58 | (908) ~ (all_0_19_19 = e1)
% 21.40/5.58 | (909) ~ (all_0_49_49 = all_0_53_53)
% 21.40/5.58 |
% 21.40/5.58 | Combining equations (907,3372) yields a new equation:
% 21.40/5.58 | (352) e2 = e0
% 21.40/5.58 |
% 21.40/5.58 | Simplifying 352 yields:
% 21.40/5.58 | (345) e2 = e0
% 21.40/5.58 |
% 21.40/5.58 | Equations (345) can reduce 133 to:
% 21.40/5.58 | (301) $false
% 21.40/5.58 |
% 21.40/5.58 |-The branch is then unsatisfiable
% 21.40/5.58 |-Branch two:
% 21.40/5.58 | (912) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)
% 21.40/5.58 |
% 21.40/5.58 | Applying alpha-rule on (912) yields:
% 21.40/5.58 | (913) all_0_22_22 = e2
% 21.40/5.58 | (914) ~ (all_0_21_21 = e0)
% 21.40/5.58 | (915) ~ (all_0_50_50 = all_0_56_56)
% 21.40/5.58 |
% 21.40/5.58 | Equations (331,637) can reduce 915 to:
% 21.40/5.58 | (301) $false
% 21.40/5.58 |
% 21.40/5.58 |-The branch is then unsatisfiable
% 21.40/5.58 |-Branch two:
% 21.40/5.58 | (918) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)
% 21.40/5.58 |
% 21.40/5.58 | Applying alpha-rule on (918) yields:
% 21.40/5.58 | (919) all_0_24_24 = e1
% 21.40/5.58 | (920) ~ (all_0_23_23 = e4)
% 21.40/5.58 | (864) ~ (all_0_40_40 = all_0_51_51)
% 21.40/5.58 |
% 21.40/5.58 | Combining equations (919,290) yields a new equation:
% 21.40/5.58 | (708) e3 = e1
% 21.40/5.58 |
% 21.40/5.58 | Equations (708) can reduce 234 to:
% 21.40/5.58 | (301) $false
% 21.40/5.58 |
% 21.40/5.58 |-The branch is then unsatisfiable
% 21.40/5.58 |-Branch two:
% 21.40/5.58 | (924) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)
% 21.40/5.58 |
% 21.40/5.58 | Applying alpha-rule on (924) yields:
% 21.40/5.58 | (925) all_0_26_26 = e1
% 21.40/5.58 | (926) ~ (all_0_25_25 = e3)
% 21.40/5.58 | (889) ~ (all_0_45_45 = all_0_52_52)
% 21.40/5.58 |
% 21.40/5.58 | Combining equations (925,826) yields a new equation:
% 21.40/5.58 | (928) e2 = e1
% 21.40/5.58 |
% 21.40/5.58 | Equations (928) can reduce 122 to:
% 21.40/5.58 | (301) $false
% 21.40/5.58 |
% 21.40/5.58 |-The branch is then unsatisfiable
% 21.40/5.58 |-Branch two:
% 21.40/5.58 | (930) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)
% 21.40/5.58 |
% 21.40/5.58 | Applying alpha-rule on (930) yields:
% 21.40/5.58 | (931) all_0_28_28 = e1
% 21.40/5.58 | (932) ~ (all_0_27_27 = e2)
% 21.40/5.58 | (909) ~ (all_0_49_49 = all_0_53_53)
% 21.40/5.58 |
% 21.40/5.58 | Equations (1734) can reduce 932 to:
% 21.40/5.58 | (301) $false
% 21.40/5.58 |
% 21.40/5.58 |-The branch is then unsatisfiable
% 21.40/5.58 |-Branch two:
% 21.40/5.58 | (937) all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)
% 21.40/5.58 |
% 21.40/5.58 | Applying alpha-rule on (937) yields:
% 21.40/5.58 | (938) all_0_30_30 = e0
% 21.40/5.58 | (939) ~ (all_0_29_29 = e4)
% 21.40/5.58 | (871) ~ (all_0_41_41 = all_0_54_54)
% 21.40/5.58 |
% 21.40/5.59 | Equations (8315) can reduce 939 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (944) all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)
% 21.40/5.59 |
% 21.40/5.59 | Applying alpha-rule on (944) yields:
% 21.40/5.59 | (945) all_0_32_32 = e0
% 21.40/5.59 | (946) ~ (all_0_31_31 = e3)
% 21.40/5.59 | (896) ~ (all_0_46_46 = all_0_55_55)
% 21.40/5.59 |
% 21.40/5.59 | Combining equations (4235,945) yields a new equation:
% 21.40/5.59 | (414) e3 = e0
% 21.40/5.59 |
% 21.40/5.59 | Simplifying 414 yields:
% 21.40/5.59 | (415) e3 = e0
% 21.40/5.59 |
% 21.40/5.59 | Equations (415) can reduce 81 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (949) all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)
% 21.40/5.59 |
% 21.40/5.59 | Applying alpha-rule on (949) yields:
% 21.40/5.59 | (950) all_0_34_34 = e0
% 21.40/5.59 | (951) ~ (all_0_33_33 = e2)
% 21.40/5.59 | (915) ~ (all_0_50_50 = all_0_56_56)
% 21.40/5.59 |
% 21.40/5.59 | Equations (331,637) can reduce 915 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (956) all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)
% 21.40/5.59 |
% 21.40/5.59 | Applying alpha-rule on (956) yields:
% 21.40/5.59 | (957) all_0_36_36 = e0
% 21.40/5.59 | (958) ~ (all_0_35_35 = e1)
% 21.40/5.59 | (726) ~ (all_0_57_57 = e1)
% 21.40/5.59 |
% 21.40/5.59 | Combining equations (813,957) yields a new equation:
% 21.40/5.59 | (316) e4 = e0
% 21.40/5.59 |
% 21.40/5.59 | Simplifying 316 yields:
% 21.40/5.59 | (317) e4 = e0
% 21.40/5.59 |
% 21.40/5.59 | Equations (317) can reduce 43 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (963) all_0_42_42 = e2 & ~ (all_0_44_44 = e4)
% 21.40/5.59 |
% 21.40/5.59 | Applying alpha-rule on (963) yields:
% 21.40/5.59 | (737) all_0_42_42 = e2
% 21.40/5.59 | (407) ~ (all_0_44_44 = e4)
% 21.40/5.59 |
% 21.40/5.59 | Combining equations (737,979) yields a new equation:
% 21.40/5.59 | (1250) e2 = e1
% 21.40/5.59 |
% 21.40/5.59 | Simplifying 1250 yields:
% 21.40/5.59 | (928) e2 = e1
% 21.40/5.59 |
% 21.40/5.59 | Equations (928) can reduce 122 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (969) all_0_53_53 = e4 & ~ (all_0_51_51 = e2)
% 21.40/5.59 |
% 21.40/5.59 | Applying alpha-rule on (969) yields:
% 21.40/5.59 | (409) all_0_53_53 = e4
% 21.40/5.59 | (971) ~ (all_0_51_51 = e2)
% 21.40/5.59 |
% 21.40/5.59 | Equations (276) can reduce 971 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (625) ~ (all_0_46_46 = e0)
% 21.40/5.59 | (1656) all_0_50_50 = e0 | all_0_58_58 = e0
% 21.40/5.59 |
% 21.40/5.59 +-Applying beta-rule and splitting (1656), into two cases.
% 21.40/5.59 |-Branch one:
% 21.40/5.59 | (356) all_0_50_50 = e0
% 21.40/5.59 |
% 21.40/5.59 | Combining equations (356,331) yields a new equation:
% 21.40/5.59 | (345) e2 = e0
% 21.40/5.59 |
% 21.40/5.59 | Equations (345) can reduce 133 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (310) ~ (all_0_50_50 = e0)
% 21.40/5.59 | (308) all_0_58_58 = e0
% 21.40/5.59 |
% 21.40/5.59 | Combining equations (308,304) yields a new equation:
% 21.40/5.59 | (317) e4 = e0
% 21.40/5.59 |
% 21.40/5.59 | Equations (317) can reduce 43 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (489) ~ (all_0_45_45 = e4)
% 21.40/5.59 | (2556) all_0_45_45 = e3 | all_0_45_45 = e1
% 21.40/5.59 |
% 21.40/5.59 +-Applying beta-rule and splitting (2556), into two cases.
% 21.40/5.59 |-Branch one:
% 21.40/5.59 | (2016) all_0_45_45 = e3
% 21.40/5.59 |
% 21.40/5.59 | Equations (2016) can reduce 770 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (770) ~ (all_0_45_45 = e3)
% 21.40/5.59 | (784) all_0_45_45 = e1
% 21.40/5.59 |
% 21.40/5.59 | Equations (784) can reduce 477 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (497) ~ (all_0_47_47 = e4)
% 21.40/5.59 | (3048) all_0_49_49 = e4 | all_0_50_50 = e4
% 21.40/5.59 |
% 21.40/5.59 +-Applying beta-rule and splitting (220), into two cases.
% 21.40/5.59 |-Branch one:
% 21.40/5.59 | (706) all_0_43_43 = e1
% 21.40/5.59 |
% 21.40/5.59 | Combining equations (439,706) yields a new equation:
% 21.40/5.59 | (1250) e2 = e1
% 21.40/5.59 |
% 21.40/5.59 | Simplifying 1250 yields:
% 21.40/5.59 | (928) e2 = e1
% 21.40/5.59 |
% 21.40/5.59 | Equations (928) can reduce 122 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (710) ~ (all_0_43_43 = e1)
% 21.40/5.59 | (711) all_0_47_47 = e1 | all_0_55_55 = e1
% 21.40/5.59 |
% 21.40/5.59 +-Applying beta-rule and splitting (711), into two cases.
% 21.40/5.59 |-Branch one:
% 21.40/5.59 | (483) all_0_47_47 = e1
% 21.40/5.59 |
% 21.40/5.59 | Equations (483) can reduce 486 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (486) ~ (all_0_47_47 = e1)
% 21.40/5.59 | (1020) all_0_55_55 = e1
% 21.40/5.59 |
% 21.40/5.59 | Equations (1020) can reduce 153 to:
% 21.40/5.59 | (486) ~ (all_0_47_47 = e1)
% 21.40/5.59 |
% 21.40/5.59 +-Applying beta-rule and splitting (205), into two cases.
% 21.40/5.59 |-Branch one:
% 21.40/5.59 | (443) all_0_47_47 = e2
% 21.40/5.59 |
% 21.40/5.59 | Equations (443) can reduce 262 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (262) ~ (all_0_47_47 = e2)
% 21.40/5.59 | (3338) all_0_47_47 = e4 | all_0_47_47 = e1 | all_0_47_47 = e0
% 21.40/5.59 |
% 21.40/5.59 +-Applying beta-rule and splitting (3338), into two cases.
% 21.40/5.59 |-Branch one:
% 21.40/5.59 | (462) all_0_47_47 = e4
% 21.40/5.59 |
% 21.40/5.59 | Equations (462) can reduce 497 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (497) ~ (all_0_47_47 = e4)
% 21.40/5.59 | (3530) all_0_47_47 = e1 | all_0_47_47 = e0
% 21.40/5.59 |
% 21.40/5.59 +-Applying beta-rule and splitting (3530), into two cases.
% 21.40/5.59 |-Branch one:
% 21.40/5.59 | (321) all_0_47_47 = e0
% 21.40/5.59 |
% 21.40/5.59 | Equations (321) can reduce 328 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (328) ~ (all_0_47_47 = e0)
% 21.40/5.59 | (483) all_0_47_47 = e1
% 21.40/5.59 |
% 21.40/5.59 | Equations (483) can reduce 486 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (478) ~ (all_0_49_49 = e1)
% 21.40/5.59 | (476) all_0_57_57 = e1
% 21.40/5.59 |
% 21.40/5.59 | Combining equations (476,473) yields a new equation:
% 21.40/5.59 | (708) e3 = e1
% 21.40/5.59 |
% 21.40/5.59 | Equations (708) can reduce 234 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (785) ~ (all_0_42_42 = e1)
% 21.40/5.59 | (724) all_0_54_54 = e1
% 21.40/5.59 |
% 21.40/5.59 | Combining equations (369,724) yields a new equation:
% 21.40/5.59 | (935) e1 = e0
% 21.40/5.59 |
% 21.40/5.59 | Equations (935) can reduce 247 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (322) ~ (all_0_39_39 = e0)
% 21.40/5.59 | (326) all_0_41_41 = e0
% 21.40/5.59 |
% 21.40/5.59 | Combining equations (564,326) yields a new equation:
% 21.40/5.59 | (414) e3 = e0
% 21.40/5.59 |
% 21.40/5.59 | Simplifying 414 yields:
% 21.40/5.59 | (415) e3 = e0
% 21.40/5.59 |
% 21.40/5.59 | Equations (415) can reduce 81 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (540) ~ (all_0_38_38 = e4)
% 21.40/5.59 | (315) all_0_38_38 = e0
% 21.40/5.59 |
% 21.40/5.59 | Equations (315) can reduce 319 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (315) all_0_38_38 = e0
% 21.40/5.59 | (545) all_0_41_41 = e4
% 21.40/5.59 |
% 21.40/5.59 | Combining equations (564,545) yields a new equation:
% 21.40/5.59 | (420) e4 = e3
% 21.40/5.59 |
% 21.40/5.59 | Equations (420) can reduce 199 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (729) ~ (all_0_40_40 = e2)
% 21.40/5.59 | (552) all_0_41_41 = e2
% 21.40/5.59 |
% 21.40/5.59 | Equations (552) can reduce 556 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (522) ~ (all_0_53_53 = e4)
% 21.40/5.59 | (419) all_0_53_53 = e3
% 21.40/5.59 |
% 21.40/5.59 | Equations (419) can reduce 422 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (971) ~ (all_0_51_51 = e2)
% 21.40/5.59 | (654) all_0_51_51 = e4
% 21.40/5.59 |
% 21.40/5.59 | Equations (654) can reduce 232 to:
% 21.40/5.59 | (540) ~ (all_0_38_38 = e4)
% 21.40/5.59 |
% 21.40/5.59 | Equations (654) can reduce 36 to:
% 21.40/5.59 | (974) ~ (all_0_42_42 = e4)
% 21.40/5.59 |
% 21.40/5.59 | Equations (654) can reduce 85 to:
% 21.40/5.59 | (8522) ~ (all_0_52_52 = e4)
% 21.40/5.59 |
% 21.40/5.59 | Simplifying 8522 yields:
% 21.40/5.59 | (410) ~ (all_0_52_52 = e4)
% 21.40/5.59 |
% 21.40/5.59 | Equations (654) can reduce 216 to:
% 21.40/5.59 | (2435) ~ (all_0_53_53 = e4)
% 21.40/5.59 |
% 21.40/5.59 | Simplifying 2435 yields:
% 21.40/5.59 | (522) ~ (all_0_53_53 = e4)
% 21.40/5.59 |
% 21.40/5.59 | Equations (654) can reduce 207 to:
% 21.40/5.59 | (2094) ~ (all_0_54_54 = e4)
% 21.40/5.59 |
% 21.40/5.59 | Simplifying 2094 yields:
% 21.40/5.59 | (643) ~ (all_0_54_54 = e4)
% 21.40/5.59 |
% 21.40/5.59 | Equations (654) can reduce 158 to:
% 21.40/5.59 | (199) ~ (e4 = e3)
% 21.40/5.59 |
% 21.40/5.59 | From (654) and (95) follows:
% 21.40/5.59 | (8529) op(e4, e4) = all_0_24_24
% 21.40/5.59 |
% 21.40/5.59 | From (654) and (175) follows:
% 21.40/5.59 | (8530) op(e4, e1) = all_0_23_23
% 21.40/5.59 |
% 21.40/5.59 | From (654) and (65) follows:
% 21.40/5.59 | (2441) op(e1, e4) = e4
% 21.40/5.59 |
% 21.40/5.59 +-Applying beta-rule and splitting (76), into two cases.
% 21.40/5.59 |-Branch one:
% 21.40/5.59 | (294) all_0_38_38 = e4
% 21.40/5.59 |
% 21.40/5.59 | Equations (294) can reduce 540 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (540) ~ (all_0_38_38 = e4)
% 21.40/5.59 | (315) all_0_38_38 = e0
% 21.40/5.59 |
% 21.40/5.59 | Equations (315) can reduce 3 to:
% 21.40/5.59 | (1168) ~ (all_0_39_39 = e0)
% 21.40/5.59 |
% 21.40/5.59 | Simplifying 1168 yields:
% 21.40/5.59 | (322) ~ (all_0_39_39 = e0)
% 21.40/5.59 |
% 21.40/5.59 | Equations (315) can reduce 187 to:
% 21.40/5.59 | (677) ~ (all_0_40_40 = e0)
% 21.40/5.59 |
% 21.40/5.59 | Simplifying 677 yields:
% 21.40/5.59 | (171) ~ (all_0_40_40 = e0)
% 21.40/5.59 |
% 21.40/5.59 | Equations (315) can reduce 110 to:
% 21.40/5.59 | (1572) ~ (all_0_41_41 = e0)
% 21.40/5.59 |
% 21.40/5.59 | Simplifying 1572 yields:
% 21.40/5.59 | (309) ~ (all_0_41_41 = e0)
% 21.40/5.59 |
% 21.40/5.59 | Equations (315) can reduce 139 to:
% 21.40/5.59 | (679) ~ (all_0_42_42 = e0)
% 21.40/5.59 |
% 21.40/5.59 | Simplifying 679 yields:
% 21.40/5.59 | (680) ~ (all_0_42_42 = e0)
% 21.40/5.59 |
% 21.40/5.59 | Equations (315) can reduce 226 to:
% 21.40/5.59 | (313) ~ (e2 = e0)
% 21.40/5.59 |
% 21.40/5.59 | Simplifying 313 yields:
% 21.40/5.59 | (133) ~ (e2 = e0)
% 21.40/5.59 |
% 21.40/5.59 | From (315) and (59) follows:
% 21.40/5.59 | (687) op(e4, e4) = e0
% 21.40/5.59 |
% 21.40/5.59 +-Applying beta-rule and splitting (170), into two cases.
% 21.40/5.59 |-Branch one:
% 21.40/5.59 | (319) ~ (all_0_38_38 = e0)
% 21.40/5.59 |
% 21.40/5.59 | Equations (315) can reduce 319 to:
% 21.40/5.59 | (301) $false
% 21.40/5.59 |
% 21.40/5.59 |-The branch is then unsatisfiable
% 21.40/5.59 |-Branch two:
% 21.40/5.59 | (315) all_0_38_38 = e0
% 21.40/5.59 | (545) all_0_41_41 = e4
% 21.40/5.59 |
% 21.40/5.59 | Equations (545) can reduce 11 to:
% 21.40/5.59 | (296) ~ (all_0_39_39 = e4)
% 21.40/5.59 |
% 21.40/5.59 | Equations (545) can reduce 111 to:
% 21.40/5.59 | (298) ~ (all_0_40_40 = e4)
% 21.40/5.59 |
% 21.40/5.59 | Equations (545) can reduce 126 to:
% 21.40/5.59 | (1175) ~ (all_0_46_46 = e4)
% 21.40/5.59 |
% 21.40/5.59 | Simplifying 1175 yields:
% 21.40/5.59 | (1083) ~ (all_0_46_46 = e4)
% 21.40/5.59 |
% 21.40/5.59 | Equations (545) can reduce 224 to:
% 21.40/5.59 | (2869) ~ (all_0_58_58 = e4)
% 21.40/5.59 |
% 21.40/5.59 | Simplifying 2869 yields:
% 21.40/5.59 | (299) ~ (all_0_58_58 = e4)
% 21.40/5.59 |
% 21.40/5.59 | Equations (545) can reduce 556 to:
% 21.40/5.59 | (42) ~ (e4 = e2)
% 21.40/5.59 |
% 21.40/5.59 | Equations (545) can reduce 69 to:
% 21.40/5.59 | (114) ~ (e4 = e1)
% 21.40/5.59 |
% 21.40/5.59 | Equations (545) can reduce 309 to:
% 21.40/5.59 | (43) ~ (e4 = e0)
% 21.40/5.59 |
% 21.40/5.59 | From (545) and (256) follows:
% 21.40/5.59 | (693) op(e4, e4) = all_0_5_5
% 21.40/5.59 |
% 21.40/5.59 | From (545) and (37) follows:
% 21.40/5.59 | (2484) op(e4, e0) = all_0_6_6
% 21.40/5.59 |
% 21.40/5.59 | From (545) and (137) follows:
% 21.40/5.59 | (2485) op(e4, e0) = e4
% 21.40/5.59 |
% 21.40/5.59 | Instantiating formula (151) with e4, e4, all_0_24_24, all_0_5_5 and discharging atoms op(e4, e4) = all_0_5_5, op(e4, e4) = all_0_24_24, yields:
% 21.40/5.59 | (8563) all_0_5_5 = all_0_24_24
% 21.40/5.59 |
% 21.40/5.59 | Instantiating formula (151) with e4, e4, e0, all_0_5_5 and discharging atoms op(e4, e4) = all_0_5_5, op(e4, e4) = e0, yields:
% 21.40/5.59 | (802) all_0_5_5 = e0
% 21.40/5.59 |
% 21.40/5.59 | Instantiating formula (151) with e4, e1, all_0_23_23, all_0_40_40 and discharging atoms op(e4, e1) = all_0_23_23, op(e4, e1) = all_0_40_40, yields:
% 21.40/5.59 | (8565) all_0_23_23 = all_0_40_40
% 21.40/5.59 |
% 21.40/5.59 | Instantiating formula (151) with e4, e0, e4, all_0_6_6 and discharging atoms op(e4, e0) = all_0_6_6, op(e4, e0) = e4, yields:
% 21.40/5.59 | (869) all_0_6_6 = e4
% 21.40/5.59 |
% 21.40/5.60 | Combining equations (8563,802) yields a new equation:
% 21.40/5.60 | (8567) all_0_24_24 = e0
% 21.40/5.60 |
% 21.40/5.60 | Simplifying 8567 yields:
% 21.40/5.60 | (8568) all_0_24_24 = e0
% 21.40/5.60 |
% 21.40/5.60 | From (8565) and (8530) follows:
% 21.40/5.60 | (117) op(e4, e1) = all_0_40_40
% 21.40/5.60 |
% 21.40/5.60 | From (869) and (2484) follows:
% 21.40/5.60 | (2485) op(e4, e0) = e4
% 21.40/5.60 |
% 21.40/5.60 +-Applying beta-rule and splitting (35), into two cases.
% 21.40/5.60 |-Branch one:
% 21.40/5.60 | (293) ~ (all_0_58_58 = e3)
% 21.40/5.60 |
% 21.40/5.60 +-Applying beta-rule and splitting (164), into two cases.
% 21.40/5.60 |-Branch one:
% 21.40/5.60 | (300) all_0_58_58 = e2
% 21.40/5.60 |
% 21.40/5.60 | Equations (300) can reduce 274 to:
% 21.40/5.60 | (301) $false
% 21.40/5.60 |
% 21.40/5.60 |-The branch is then unsatisfiable
% 21.40/5.60 |-Branch two:
% 21.40/5.60 | (274) ~ (all_0_58_58 = e2)
% 21.40/5.60 | (303) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e0
% 21.40/5.60 |
% 21.40/5.60 +-Applying beta-rule and splitting (214), into two cases.
% 21.40/5.60 |-Branch one:
% 21.40/5.60 | (564) all_0_41_41 = e3
% 21.40/5.60 |
% 21.40/5.60 | Combining equations (545,564) yields a new equation:
% 21.40/5.60 | (508) e4 = e3
% 21.40/5.60 |
% 21.40/5.60 | Simplifying 508 yields:
% 21.40/5.60 | (420) e4 = e3
% 21.40/5.60 |
% 21.40/5.60 | Equations (420) can reduce 199 to:
% 21.40/5.60 | (301) $false
% 21.40/5.60 |
% 21.40/5.60 |-The branch is then unsatisfiable
% 21.40/5.60 |-Branch two:
% 21.40/5.60 | (568) ~ (all_0_41_41 = e3)
% 21.40/5.60 | (569) all_0_46_46 = e3 | all_0_58_58 = e3
% 21.40/5.60 |
% 21.40/5.60 +-Applying beta-rule and splitting (569), into two cases.
% 21.40/5.60 |-Branch one:
% 21.40/5.60 | (570) all_0_46_46 = e3
% 21.40/5.60 |
% 21.40/5.60 | Equations (570) can reduce 14 to:
% 21.40/5.60 | (68) ~ (all_0_42_42 = e3)
% 21.40/5.60 |
% 21.40/5.60 | Equations (570) can reduce 184 to:
% 21.40/5.60 | (2875) ~ (all_0_58_58 = e3)
% 21.40/5.60 |
% 21.40/5.60 | Simplifying 2875 yields:
% 21.40/5.60 | (293) ~ (all_0_58_58 = e3)
% 21.40/5.60 |
% 21.40/5.60 | Equations (570) can reduce 575 to:
% 21.40/5.60 | (231) ~ (e3 = e2)
% 21.40/5.60 |
% 21.40/5.60 | From (570) and (39) follows:
% 21.40/5.60 | (4870) op(e3, e3) = all_0_14_14
% 21.40/5.60 |
% 21.40/5.60 +-Applying beta-rule and splitting (303), into two cases.
% 21.40/5.60 |-Branch one:
% 21.40/5.60 | (304) all_0_58_58 = e4
% 21.40/5.60 |
% 21.40/5.60 | Equations (304) can reduce 299 to:
% 21.40/5.60 | (301) $false
% 21.40/5.60 |
% 21.40/5.60 |-The branch is then unsatisfiable
% 21.40/5.60 |-Branch two:
% 21.40/5.60 | (299) ~ (all_0_58_58 = e4)
% 21.40/5.60 | (307) all_0_58_58 = e3 | all_0_58_58 = e0
% 21.40/5.60 |
% 21.40/5.60 +-Applying beta-rule and splitting (307), into two cases.
% 21.40/5.60 |-Branch one:
% 21.40/5.60 | (308) all_0_58_58 = e0
% 21.40/5.60 |
% 21.40/5.60 | Equations (308) can reduce 156 to:
% 21.40/5.60 | (682) ~ (all_0_54_54 = e0)
% 21.40/5.60 |
% 21.40/5.60 | Equations (308) can reduce 116 to:
% 21.40/5.60 | (372) ~ (all_0_55_55 = e0)
% 21.40/5.60 |
% 21.40/5.60 | Equations (308) can reduce 2 to:
% 21.40/5.60 | (374) ~ (all_0_56_56 = e0)
% 21.40/5.60 |
% 21.40/5.60 | Equations (308) can reduce 5 to:
% 21.40/5.60 | (189) ~ (all_0_57_57 = e0)
% 21.40/5.60 |
% 21.40/5.60 +-Applying beta-rule and splitting (6), into two cases.
% 21.40/5.60 |-Branch one:
% 21.40/5.60 | (323) all_0_39_39 = e0
% 21.40/5.60 |
% 21.40/5.60 | Equations (323) can reduce 322 to:
% 21.40/5.60 | (301) $false
% 21.40/5.60 |
% 21.40/5.60 |-The branch is then unsatisfiable
% 21.40/5.60 |-Branch two:
% 21.40/5.60 | (322) ~ (all_0_39_39 = e0)
% 21.40/5.60 | (512) all_0_43_43 = e0 | all_0_47_47 = e0 | all_0_55_55 = e0
% 21.40/5.60 |
% 21.40/5.60 +-Applying beta-rule and splitting (512), into two cases.
% 21.40/5.60 |-Branch one:
% 21.40/5.60 | (513) all_0_43_43 = e0
% 21.40/5.60 |
% 21.40/5.60 | Equations (513) can reduce 155 to:
% 21.40/5.60 | (322) ~ (all_0_39_39 = e0)
% 21.40/5.60 |
% 21.40/5.60 | Equations (513) can reduce 8 to:
% 21.40/5.60 | (680) ~ (all_0_42_42 = e0)
% 21.40/5.60 |
% 21.40/5.60 | Equations (513) can reduce 77 to:
% 21.40/5.60 | (4084) ~ (all_0_44_44 = e0)
% 21.40/5.60 |
% 21.40/5.60 | Simplifying 4084 yields:
% 21.40/5.60 | (525) ~ (all_0_44_44 = e0)
% 21.40/5.60 |
% 21.40/5.60 | Equations (513) can reduce 72 to:
% 21.40/5.60 | (622) ~ (all_0_45_45 = e0)
% 21.40/5.60 |
% 21.40/5.60 | Simplifying 622 yields:
% 21.40/5.60 | (163) ~ (all_0_45_45 = e0)
% 21.40/5.60 |
% 21.40/5.60 | Equations (513) can reduce 10 to:
% 21.40/5.60 | (1320) ~ (all_0_47_47 = e0)
% 21.40/5.60 |
% 21.40/5.60 | Simplifying 1320 yields:
% 21.40/5.60 | (328) ~ (all_0_47_47 = e0)
% 21.40/5.60 |
% 21.40/5.60 | Equations (513) can reduce 16 to:
% 21.40/5.60 | (371) ~ (all_0_55_55 = e0)
% 21.40/5.60 |
% 21.40/5.60 | Simplifying 371 yields:
% 21.40/5.60 | (372) ~ (all_0_55_55 = e0)
% 21.40/5.60 |
% 21.40/5.60 | From (513) and (249) follows:
% 21.40/5.60 | (4893) op(e3, e3) = e0
% 21.40/5.60 |
% 21.40/5.60 | Instantiating formula (151) with e3, e3, e0, all_0_14_14 and discharging atoms op(e3, e3) = all_0_14_14, op(e3, e3) = e0, yields:
% 21.40/5.60 | (2994) all_0_14_14 = e0
% 21.40/5.60 |
% 21.40/5.60 | From (2994) and (4870) follows:
% 21.40/5.60 | (4893) op(e3, e3) = e0
% 21.40/5.60 |
% 21.40/5.60 +-Applying beta-rule and splitting (201), into two cases.
% 21.40/5.60 |-Branch one:
% 21.40/5.60 | (455) all_0_52_52 = e3
% 21.40/5.60 |
% 21.40/5.60 | Equations (455) can reduce 129 to:
% 21.40/5.60 | (698) ~ (all_0_39_39 = e3)
% 21.40/5.60 |
% 21.40/5.60 | Equations (455) can reduce 235 to:
% 21.40/5.60 | (3910) ~ (all_0_55_55 = e3)
% 21.40/5.60 |
% 21.40/5.60 | Simplifying 3910 yields:
% 21.40/5.60 | (1935) ~ (all_0_55_55 = e3)
% 21.40/5.60 |
% 21.40/5.60 | Equations (455) can reduce 410 to:
% 21.40/5.60 | (426) ~ (e4 = e3)
% 21.40/5.60 |
% 21.40/5.60 | Simplifying 426 yields:
% 21.40/5.60 | (199) ~ (e4 = e3)
% 21.40/5.60 |
% 21.40/5.60 | From (455) and (218) follows:
% 21.40/5.60 | (2082) op(e3, e3) = all_0_26_26
% 21.40/5.60 |
% 21.40/5.60 | From (455) and (107) follows:
% 21.40/5.60 | (2084) op(e1, e3) = e3
% 21.40/5.60 |
% 21.40/5.60 +-Applying beta-rule and splitting (138), into two cases.
% 21.40/5.60 |-Branch one:
% 21.40/5.60 | (694) all_0_39_39 = e3
% 21.40/5.60 |
% 21.40/5.60 | Equations (694) can reduce 698 to:
% 21.40/5.60 | (301) $false
% 21.40/5.60 |
% 21.40/5.60 |-The branch is then unsatisfiable
% 21.40/5.60 |-Branch two:
% 21.40/5.60 | (698) ~ (all_0_39_39 = e3)
% 21.40/5.60 | (1001) all_0_40_40 = e3 | all_0_41_41 = e3
% 21.40/5.60 |
% 21.40/5.60 +-Applying beta-rule and splitting (56), into two cases.
% 21.40/5.60 |-Branch one:
% 21.40/5.60 | (1254) all_0_53_53 = e2
% 21.40/5.60 |
% 21.40/5.60 | Equations (1254) can reduce 109 to:
% 21.40/5.60 | (261) ~ (all_0_44_44 = e2)
% 21.40/5.60 |
% 21.40/5.60 | From (1254) and (118) follows:
% 21.40/5.60 | (8629) op(e2, e2) = all_0_28_28
% 21.40/5.60 |
% 21.40/5.60 | From (1254) and (90) follows:
% 21.40/5.60 | (8630) op(e2, e1) = all_0_27_27
% 21.40/5.60 |
% 21.40/5.60 +-Applying beta-rule and splitting (244), into two cases.
% 21.40/5.60 |-Branch one:
% 21.40/5.60 | (344) all_0_39_39 = e2
% 21.40/5.60 |
% 21.40/5.60 | Equations (344) can reduce 157 to:
% 21.40/5.60 | (2042) ~ (all_0_47_47 = e2)
% 21.40/5.60 |
% 21.40/5.60 | Simplifying 2042 yields:
% 21.40/5.60 | (262) ~ (all_0_47_47 = e2)
% 21.40/5.60 |
% 21.40/5.60 | Equations (344) can reduce 250 to:
% 21.40/5.60 | (1270) ~ (all_0_55_55 = e2)
% 21.40/5.60 |
% 21.40/5.60 | Simplifying 1270 yields:
% 21.40/5.60 | (1140) ~ (all_0_55_55 = e2)
% 21.40/5.60 |
% 21.40/5.60 | From (344) and (82) follows:
% 21.40/5.60 | (4204) op(e2, e4) = all_0_1_1
% 21.40/5.60 |
% 21.40/5.60 | From (344) and (112) follows:
% 21.40/5.60 | (670) op(e2, e3) = all_0_2_2
% 21.40/5.60 |
% 21.40/5.60 | From (344) and (154) follows:
% 21.40/5.60 | (671) op(e4, e3) = e2
% 21.40/5.60 |
% 21.40/5.60 +-Applying beta-rule and splitting (239), into two cases.
% 21.40/5.60 |-Branch one:
% 21.40/5.60 | (747) all_0_44_44 = e2
% 21.40/5.60 |
% 21.40/5.60 | Equations (747) can reduce 261 to:
% 21.40/5.60 | (301) $false
% 21.40/5.60 |
% 21.40/5.60 |-The branch is then unsatisfiable
% 21.40/5.60 |-Branch two:
% 21.40/5.60 | (261) ~ (all_0_44_44 = e2)
% 21.40/5.60 | (1634) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e0
% 21.40/5.60 |
% 21.40/5.60 +-Applying beta-rule and splitting (1001), into two cases.
% 21.40/5.60 |-Branch one:
% 21.40/5.60 | (768) all_0_40_40 = e3
% 21.40/5.60 |
% 21.40/5.60 | Equations (768) can reduce 108 to:
% 21.40/5.60 | (769) ~ (all_0_45_45 = e3)
% 21.40/5.60 |
% 21.40/5.60 | Simplifying 769 yields:
% 21.40/5.60 | (770) ~ (all_0_45_45 = e3)
% 21.40/5.60 |
% 21.40/5.60 | Equations (768) can reduce 15 to:
% 21.40/5.60 | (424) ~ (all_0_57_57 = e3)
% 21.40/5.60 |
% 21.40/5.60 | Simplifying 424 yields:
% 21.40/5.60 | (425) ~ (all_0_57_57 = e3)
% 21.40/5.60 |
% 21.40/5.60 | Equations (768) can reduce 171 to:
% 21.40/5.60 | (81) ~ (e3 = e0)
% 21.40/5.60 |
% 21.40/5.60 | From (768) and (252) follows:
% 21.40/5.60 | (773) op(e3, e1) = all_0_4_4
% 21.40/5.60 |
% 21.40/5.60 | From (768) and (117) follows:
% 21.40/5.60 | (774) op(e4, e1) = e3
% 21.40/5.60 |
% 21.40/5.60 +-Applying beta-rule and splitting (132), into two cases.
% 21.40/5.60 |-Branch one:
% 21.40/5.60 | (1031) all_0_55_55 = e3
% 21.40/5.60 |
% 21.40/5.60 | Equations (1031) can reduce 1935 to:
% 21.40/5.60 | (301) $false
% 21.40/5.60 |
% 21.40/5.60 |-The branch is then unsatisfiable
% 21.40/5.60 |-Branch two:
% 21.40/5.60 | (1935) ~ (all_0_55_55 = e3)
% 21.40/5.60 | (1936) all_0_56_56 = e3 | all_0_57_57 = e3 | all_0_58_58 = e3
% 21.40/5.60 |
% 21.40/5.60 +-Applying beta-rule and splitting (1936), into two cases.
% 21.40/5.60 |-Branch one:
% 21.40/5.60 | (423) all_0_56_56 = e3
% 21.40/5.60 |
% 21.40/5.60 | Equations (423) can reduce 124 to:
% 21.40/5.60 | (417) ~ (all_0_44_44 = e3)
% 21.40/5.60 |
% 21.40/5.60 | Equations (423) can reduce 190 to:
% 21.40/5.60 | (206) ~ (all_0_54_54 = e3)
% 21.40/5.60 |
% 21.40/5.60 | Equations (423) can reduce 194 to:
% 21.40/5.60 | (1935) ~ (all_0_55_55 = e3)
% 21.40/5.60 |
% 21.40/5.60 | Equations (423) can reduce 243 to:
% 21.40/5.60 | (424) ~ (all_0_57_57 = e3)
% 21.40/5.60 |
% 21.40/5.60 | Simplifying 424 yields:
% 21.40/5.60 | (425) ~ (all_0_57_57 = e3)
% 21.40/5.60 |
% 21.40/5.60 | Equations (423) can reduce 374 to:
% 21.40/5.60 | (81) ~ (e3 = e0)
% 21.40/5.60 |
% 21.40/5.60 | From (423) and (202) follows:
% 21.40/5.60 | (3367) op(e3, e2) = all_0_34_34
% 21.40/5.60 |
% 21.40/5.60 +-Applying beta-rule and splitting (21), into two cases.
% 21.40/5.60 |-Branch one:
% 21.40/5.60 | (403) all_0_44_44 = e4
% 21.40/5.60 |
% 21.40/5.60 | Equations (403) can reduce 84 to:
% 21.40/5.60 | (974) ~ (all_0_42_42 = e4)
% 21.40/5.60 |
% 21.40/5.60 | Equations (403) can reduce 38 to:
% 21.40/5.60 | (2540) ~ (all_0_45_45 = e4)
% 21.40/5.60 |
% 21.40/5.60 | Simplifying 2540 yields:
% 21.40/5.60 | (489) ~ (all_0_45_45 = e4)
% 21.40/5.60 |
% 21.40/5.60 | Equations (403) can reduce 417 to:
% 21.40/5.60 | (199) ~ (e4 = e3)
% 21.40/5.60 |
% 21.40/5.60 | Equations (403) can reduce 261 to:
% 21.40/5.60 | (42) ~ (e4 = e2)
% 21.40/5.60 |
% 21.40/5.60 | Equations (403) can reduce 55 to:
% 21.40/5.60 | (114) ~ (e4 = e1)
% 21.40/5.60 |
% 21.40/5.60 | From (403) and (130) follows:
% 21.40/5.60 | (1682) op(e4, e3) = all_0_10_10
% 21.40/5.60 |
% 21.40/5.60 | From (403) and (185) follows:
% 21.40/5.60 | (1683) op(e4, e2) = all_0_11_11
% 21.40/5.60 |
% 21.40/5.60 | From (403) and (165) follows:
% 21.40/5.60 | (1684) op(e3, e2) = e4
% 21.40/5.60 |
% 21.40/5.60 | Instantiating formula (151) with e4, e3, e2, all_0_10_10 and discharging atoms op(e4, e3) = all_0_10_10, op(e4, e3) = e2, yields:
% 21.40/5.60 | (1720) all_0_10_10 = e2
% 21.40/5.60 |
% 21.40/5.60 | Instantiating formula (151) with e4, e2, all_0_11_11, e1 and discharging atoms op(e4, e2) = all_0_11_11, op(e4, e2) = e1, yields:
% 21.40/5.60 | (1721) all_0_11_11 = e1
% 21.40/5.60 |
% 21.40/5.60 | Instantiating formula (151) with e3, e3, all_0_26_26, e0 and discharging atoms op(e3, e3) = all_0_26_26, op(e3, e3) = e0, yields:
% 21.40/5.60 | (3113) all_0_26_26 = e0
% 21.40/5.60 |
% 21.40/5.60 | Instantiating formula (151) with e3, e2, e4, all_0_34_34 and discharging atoms op(e3, e2) = all_0_34_34, op(e3, e2) = e4, yields:
% 21.40/5.60 | (8676) all_0_34_34 = e4
% 21.40/5.60 |
% 21.40/5.60 | Instantiating formula (151) with e3, e1, all_0_4_4, all_0_45_45 and discharging atoms op(e3, e1) = all_0_4_4, op(e3, e1) = all_0_45_45, yields:
% 21.40/5.60 | (5007) all_0_4_4 = all_0_45_45
% 21.40/5.60 |
% 21.40/5.60 | Instantiating formula (151) with e2, e4, all_0_1_1, e3 and discharging atoms op(e2, e4) = all_0_1_1, op(e2, e4) = e3, yields:
% 21.40/5.60 | (4231) all_0_1_1 = e3
% 21.40/5.60 |
% 21.40/5.60 | Instantiating formula (151) with e2, e3, all_0_2_2, all_0_47_47 and discharging atoms op(e2, e3) = all_0_2_2, op(e2, e3) = all_0_47_47, yields:
% 21.40/5.60 | (5010) all_0_2_2 = all_0_47_47
% 21.40/5.60 |
% 21.40/5.60 | Instantiating formula (151) with e2, e2, all_0_28_28, e0 and discharging atoms op(e2, e2) = all_0_28_28, op(e2, e2) = e0, yields:
% 21.40/5.60 | (809) all_0_28_28 = e0
% 21.40/5.60 |
% 21.40/5.60 | Instantiating formula (151) with e2, e1, all_0_27_27, all_0_49_49 and discharging atoms op(e2, e1) = all_0_27_27, op(e2, e1) = all_0_49_49, yields:
% 21.40/5.60 | (8681) all_0_27_27 = all_0_49_49
% 21.40/5.60 |
% 21.40/5.60 | From (1720) and (1682) follows:
% 21.40/5.60 | (671) op(e4, e3) = e2
% 21.40/5.60 |
% 21.40/5.60 | From (4231) and (4204) follows:
% 21.40/5.60 | (215) op(e2, e4) = e3
% 21.40/5.60 |
% 21.40/5.60 | From (8681) and (8630) follows:
% 21.40/5.61 | (193) op(e2, e1) = all_0_49_49
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (209), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (483) all_0_47_47 = e1
% 21.40/5.61 |
% 21.40/5.61 | Combining equations (483,5010) yields a new equation:
% 21.40/5.61 | (812) all_0_2_2 = e1
% 21.40/5.61 |
% 21.40/5.61 | Equations (483) can reduce 153 to:
% 21.40/5.61 | (2474) ~ (all_0_55_55 = e1)
% 21.40/5.61 |
% 21.40/5.61 | Simplifying 2474 yields:
% 21.40/5.61 | (1696) ~ (all_0_55_55 = e1)
% 21.40/5.61 |
% 21.40/5.61 | Equations (483) can reduce 262 to:
% 21.40/5.61 | (788) ~ (e2 = e1)
% 21.40/5.61 |
% 21.40/5.61 | Simplifying 788 yields:
% 21.40/5.61 | (122) ~ (e2 = e1)
% 21.40/5.61 |
% 21.40/5.61 | From (483) and (142) follows:
% 21.40/5.61 | (715) op(e1, e3) = all_0_17_17
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (176), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (462) all_0_47_47 = e4
% 21.40/5.61 |
% 21.40/5.61 | Combining equations (483,462) yields a new equation:
% 21.40/5.61 | (484) e4 = e1
% 21.40/5.61 |
% 21.40/5.61 | Equations (484) can reduce 114 to:
% 21.40/5.61 | (301) $false
% 21.40/5.61 |
% 21.40/5.61 |-The branch is then unsatisfiable
% 21.40/5.61 |-Branch two:
% 21.40/5.61 | (497) ~ (all_0_47_47 = e4)
% 21.40/5.61 | (3048) all_0_49_49 = e4 | all_0_50_50 = e4
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (178), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (450) all_0_55_55 = e2
% 21.40/5.61 |
% 21.40/5.61 | Equations (450) can reduce 1140 to:
% 21.40/5.61 | (301) $false
% 21.40/5.61 |
% 21.40/5.61 |-The branch is then unsatisfiable
% 21.40/5.61 |-Branch two:
% 21.40/5.61 | (1140) ~ (all_0_55_55 = e2)
% 21.40/5.61 | (4354) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (83), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (428) all_0_39_39 = e4
% 21.40/5.61 |
% 21.40/5.61 | Combining equations (344,428) yields a new equation:
% 21.40/5.61 | (504) e4 = e2
% 21.40/5.61 |
% 21.40/5.61 | Equations (504) can reduce 42 to:
% 21.40/5.61 | (301) $false
% 21.40/5.61 |
% 21.40/5.61 |-The branch is then unsatisfiable
% 21.40/5.61 |-Branch two:
% 21.40/5.61 | (296) ~ (all_0_39_39 = e4)
% 21.40/5.61 | (431) all_0_47_47 = e4 | all_0_52_52 = e4 | all_0_55_55 = e4
% 21.40/5.61 |
% 21.40/5.61 | Equations (344) can reduce 296 to:
% 21.40/5.61 | (271) ~ (e4 = e2)
% 21.40/5.61 |
% 21.40/5.61 | Simplifying 271 yields:
% 21.40/5.61 | (42) ~ (e4 = e2)
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (3048), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (491) all_0_49_49 = e4
% 21.40/5.61 |
% 21.40/5.61 | Equations (491) can reduce 23 to:
% 21.40/5.61 | (489) ~ (all_0_45_45 = e4)
% 21.40/5.61 |
% 21.40/5.61 | From (491) and (162) follows:
% 21.40/5.61 | (778) op(e4, e1) = all_0_20_20
% 21.40/5.61 |
% 21.40/5.61 | From (491) and (193) follows:
% 21.40/5.61 | (779) op(e2, e1) = e4
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (4354), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (503) all_0_55_55 = e4
% 21.40/5.61 |
% 21.40/5.61 | Equations (503) can reduce 144 to:
% 21.40/5.61 | (643) ~ (all_0_54_54 = e4)
% 21.40/5.61 |
% 21.40/5.61 | Equations (503) can reduce 20 to:
% 21.40/5.61 | (644) ~ (all_0_57_57 = e4)
% 21.40/5.61 |
% 21.40/5.61 | Simplifying 644 yields:
% 21.40/5.61 | (377) ~ (all_0_57_57 = e4)
% 21.40/5.61 |
% 21.40/5.61 | Equations (503) can reduce 1935 to:
% 21.40/5.61 | (199) ~ (e4 = e3)
% 21.40/5.61 |
% 21.40/5.61 | Equations (503) can reduce 1140 to:
% 21.40/5.61 | (42) ~ (e4 = e2)
% 21.40/5.61 |
% 21.40/5.61 | Equations (503) can reduce 372 to:
% 21.40/5.61 | (43) ~ (e4 = e0)
% 21.40/5.61 |
% 21.40/5.61 | From (503) and (97) follows:
% 21.40/5.61 | (5090) op(e4, e3) = all_0_32_32
% 21.40/5.61 |
% 21.40/5.61 | Instantiating formula (151) with e4, e3, all_0_32_32, e2 and discharging atoms op(e4, e3) = all_0_32_32, op(e4, e3) = e2, yields:
% 21.40/5.61 | (5099) all_0_32_32 = e2
% 21.40/5.61 |
% 21.40/5.61 | Instantiating formula (151) with e4, e1, all_0_20_20, e3 and discharging atoms op(e4, e1) = all_0_20_20, op(e4, e1) = e3, yields:
% 21.40/5.61 | (808) all_0_20_20 = e3
% 21.40/5.61 |
% 21.40/5.61 | Instantiating formula (151) with e1, e3, all_0_17_17, e3 and discharging atoms op(e1, e3) = all_0_17_17, op(e1, e3) = e3, yields:
% 21.40/5.61 | (2256) all_0_17_17 = e3
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (145), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (737) all_0_42_42 = e2
% 21.40/5.61 |
% 21.40/5.61 | Equations (737) can reduce 208 to:
% 21.40/5.61 | (2443) ~ (all_0_45_45 = e2)
% 21.40/5.61 |
% 21.40/5.61 | Simplifying 2443 yields:
% 21.40/5.61 | (730) ~ (all_0_45_45 = e2)
% 21.40/5.61 |
% 21.40/5.61 | Equations (737) can reduce 181 to:
% 21.40/5.61 | (282) ~ (all_0_54_54 = e2)
% 21.40/5.61 |
% 21.40/5.61 | Simplifying 282 yields:
% 21.40/5.61 | (283) ~ (all_0_54_54 = e2)
% 21.40/5.61 |
% 21.40/5.61 | Equations (737) can reduce 974 to:
% 21.40/5.61 | (271) ~ (e4 = e2)
% 21.40/5.61 |
% 21.40/5.61 | Simplifying 271 yields:
% 21.40/5.61 | (42) ~ (e4 = e2)
% 21.40/5.61 |
% 21.40/5.61 | Equations (737) can reduce 68 to:
% 21.40/5.61 | (284) ~ (e3 = e2)
% 21.40/5.61 |
% 21.40/5.61 | Simplifying 284 yields:
% 21.40/5.61 | (231) ~ (e3 = e2)
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (186), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (979) all_0_42_42 = e1
% 21.40/5.61 |
% 21.40/5.61 | Combining equations (737,979) yields a new equation:
% 21.40/5.61 | (1250) e2 = e1
% 21.40/5.61 |
% 21.40/5.61 | Simplifying 1250 yields:
% 21.40/5.61 | (928) e2 = e1
% 21.40/5.61 |
% 21.40/5.61 | Equations (928) can reduce 122 to:
% 21.40/5.61 | (301) $false
% 21.40/5.61 |
% 21.40/5.61 |-The branch is then unsatisfiable
% 21.40/5.61 |-Branch two:
% 21.40/5.61 | (785) ~ (all_0_42_42 = e1)
% 21.40/5.61 | (724) all_0_54_54 = e1
% 21.40/5.61 |
% 21.40/5.61 | Equations (724) can reduce 223 to:
% 21.40/5.61 | (725) ~ (all_0_57_57 = e1)
% 21.40/5.61 |
% 21.40/5.61 | Simplifying 725 yields:
% 21.40/5.61 | (726) ~ (all_0_57_57 = e1)
% 21.40/5.61 |
% 21.40/5.61 | Equations (724) can reduce 643 to:
% 21.40/5.61 | (479) ~ (e4 = e1)
% 21.40/5.61 |
% 21.40/5.61 | Simplifying 479 yields:
% 21.40/5.61 | (114) ~ (e4 = e1)
% 21.40/5.61 |
% 21.40/5.61 | Equations (724) can reduce 283 to:
% 21.40/5.61 | (788) ~ (e2 = e1)
% 21.40/5.61 |
% 21.40/5.61 | Simplifying 788 yields:
% 21.40/5.61 | (122) ~ (e2 = e1)
% 21.40/5.61 |
% 21.40/5.61 | From (724) and (52) follows:
% 21.40/5.61 | (727) op(e1, e4) = all_0_30_30
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (169), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (1380) all_0_40_40 = e2
% 21.40/5.61 |
% 21.40/5.61 | Combining equations (768,1380) yields a new equation:
% 21.40/5.61 | (572) e3 = e2
% 21.40/5.61 |
% 21.40/5.61 | Simplifying 572 yields:
% 21.40/5.61 | (573) e3 = e2
% 21.40/5.61 |
% 21.40/5.61 | Equations (573) can reduce 231 to:
% 21.40/5.61 | (301) $false
% 21.40/5.61 |
% 21.40/5.61 |-The branch is then unsatisfiable
% 21.40/5.61 |-Branch two:
% 21.40/5.61 | (729) ~ (all_0_40_40 = e2)
% 21.40/5.61 | (2741) all_0_45_45 = e2 | all_0_49_49 = e2 | all_0_57_57 = e2
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (19), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (458) all_0_57_57 = e2
% 21.40/5.61 |
% 21.40/5.61 | Equations (458) can reduce 377 to:
% 21.40/5.61 | (271) ~ (e4 = e2)
% 21.40/5.61 |
% 21.40/5.61 | Simplifying 271 yields:
% 21.40/5.61 | (42) ~ (e4 = e2)
% 21.40/5.61 |
% 21.40/5.61 | Equations (458) can reduce 425 to:
% 21.40/5.61 | (284) ~ (e3 = e2)
% 21.40/5.61 |
% 21.40/5.61 | Simplifying 284 yields:
% 21.40/5.61 | (231) ~ (e3 = e2)
% 21.40/5.61 |
% 21.40/5.61 | Equations (458) can reduce 726 to:
% 21.40/5.61 | (122) ~ (e2 = e1)
% 21.40/5.61 |
% 21.40/5.61 | Equations (458) can reduce 189 to:
% 21.40/5.61 | (133) ~ (e2 = e0)
% 21.40/5.61 |
% 21.40/5.61 | From (458) and (73) follows:
% 21.40/5.61 | (735) op(e2, e1) = all_0_36_36
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (211), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (784) all_0_45_45 = e1
% 21.40/5.61 |
% 21.40/5.61 | Combining equations (784,5007) yields a new equation:
% 21.40/5.61 | (810) all_0_4_4 = e1
% 21.40/5.61 |
% 21.40/5.61 | Equations (784) can reduce 489 to:
% 21.40/5.61 | (479) ~ (e4 = e1)
% 21.40/5.61 |
% 21.40/5.61 | Simplifying 479 yields:
% 21.40/5.61 | (114) ~ (e4 = e1)
% 21.40/5.61 |
% 21.40/5.61 | Equations (784) can reduce 770 to:
% 21.40/5.61 | (786) ~ (e3 = e1)
% 21.40/5.61 |
% 21.40/5.61 | Simplifying 786 yields:
% 21.40/5.61 | (234) ~ (e3 = e1)
% 21.40/5.61 |
% 21.40/5.61 | Equations (784) can reduce 163 to:
% 21.40/5.61 | (247) ~ (e1 = e0)
% 21.40/5.61 |
% 21.40/5.61 | From (784) and (44) follows:
% 21.40/5.61 | (792) op(e1, e1) = all_0_13_13
% 21.40/5.61 |
% 21.40/5.61 | Instantiating formula (151) with e2, e1, all_0_36_36, e4 and discharging atoms op(e2, e1) = all_0_36_36, op(e2, e1) = e4, yields:
% 21.40/5.61 | (813) all_0_36_36 = e4
% 21.40/5.61 |
% 21.40/5.61 | Instantiating formula (151) with e1, e4, all_0_30_30, e4 and discharging atoms op(e1, e4) = all_0_30_30, op(e1, e4) = e4, yields:
% 21.40/5.61 | (2642) all_0_30_30 = e4
% 21.40/5.61 |
% 21.40/5.61 | Instantiating formula (151) with e1, e1, all_0_13_13, e0 and discharging atoms op(e1, e1) = all_0_13_13, op(e1, e1) = e0, yields:
% 21.40/5.61 | (819) all_0_13_13 = e0
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (128), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (837) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)) | (all_0_42_42 = e2 & ~ (all_0_44_44 = e4))
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (837), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (838) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1))
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (838), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (839) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56))
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (839), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (840) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55))
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (840), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (841) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54))
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (841), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (842) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53))
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (842), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (843) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52))
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (843), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (844) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51))
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (844), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (845) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56))
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (845), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (846) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53))
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (846), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (847) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47))
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (847), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (848) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55))
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (848), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (849) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52))
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (849), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (850) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47))
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (850), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (851) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42))
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (851), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (852) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54))
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (852), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (853) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51))
% 21.40/5.61 |
% 21.40/5.61 +-Applying beta-rule and splitting (853), into two cases.
% 21.40/5.61 |-Branch one:
% 21.40/5.61 | (854) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)
% 21.40/5.61 |
% 21.40/5.61 | Applying alpha-rule on (854) yields:
% 21.40/5.61 | (855) all_0_2_2 = e4
% 21.40/5.61 | (856) ~ (all_0_1_1 = e3)
% 21.40/5.61 | (857) ~ (all_0_39_39 = all_0_42_42)
% 21.40/5.61 |
% 21.40/5.61 | Combining equations (855,812) yields a new equation:
% 21.40/5.61 | (858) e4 = e1
% 21.40/5.61 |
% 21.40/5.61 | Simplifying 858 yields:
% 21.40/5.61 | (484) e4 = e1
% 21.40/5.61 |
% 21.40/5.61 | Equations (484) can reduce 114 to:
% 21.40/5.61 | (301) $false
% 21.40/5.61 |
% 21.40/5.61 |-The branch is then unsatisfiable
% 21.40/5.61 |-Branch two:
% 21.40/5.61 | (861) all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)
% 21.40/5.61 |
% 21.40/5.61 | Applying alpha-rule on (861) yields:
% 21.40/5.61 | (862) all_0_4_4 = e4
% 21.40/5.61 | (863) ~ (all_0_3_3 = e1)
% 21.40/5.61 | (864) ~ (all_0_40_40 = all_0_51_51)
% 21.40/5.61 |
% 21.40/5.61 | Combining equations (862,810) yields a new equation:
% 21.40/5.61 | (858) e4 = e1
% 21.40/5.61 |
% 21.40/5.62 | Simplifying 858 yields:
% 21.40/5.62 | (484) e4 = e1
% 21.40/5.62 |
% 21.40/5.62 | Equations (484) can reduce 114 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (868) all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)
% 21.40/5.62 |
% 21.40/5.62 | Applying alpha-rule on (868) yields:
% 21.40/5.62 | (869) all_0_6_6 = e4
% 21.40/5.62 | (870) ~ (all_0_5_5 = e0)
% 21.40/5.62 | (871) ~ (all_0_41_41 = all_0_54_54)
% 21.40/5.62 |
% 21.40/5.62 | Equations (802) can reduce 870 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (873) all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)
% 21.40/5.62 |
% 21.40/5.62 | Applying alpha-rule on (873) yields:
% 21.40/5.62 | (874) all_0_8_8 = e3
% 21.40/5.62 | (875) ~ (all_0_7_7 = e4)
% 21.40/5.62 | (857) ~ (all_0_39_39 = all_0_42_42)
% 21.40/5.62 |
% 21.40/5.62 | Equations (344,737) can reduce 857 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (880) all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)
% 21.40/5.62 |
% 21.40/5.62 | Applying alpha-rule on (880) yields:
% 21.40/5.62 | (881) all_0_11_11 = e3
% 21.40/5.62 | (882) ~ (all_0_10_10 = e2)
% 21.40/5.62 | (883) ~ (all_0_44_44 = all_0_47_47)
% 21.40/5.62 |
% 21.40/5.62 | Combining equations (881,1721) yields a new equation:
% 21.40/5.62 | (707) e3 = e1
% 21.40/5.62 |
% 21.40/5.62 | Simplifying 707 yields:
% 21.40/5.62 | (708) e3 = e1
% 21.40/5.62 |
% 21.40/5.62 | Equations (708) can reduce 234 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (886) all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)
% 21.40/5.62 |
% 21.40/5.62 | Applying alpha-rule on (886) yields:
% 21.40/5.62 | (887) all_0_13_13 = e3
% 21.40/5.62 | (888) ~ (all_0_12_12 = e1)
% 21.40/5.62 | (889) ~ (all_0_45_45 = all_0_52_52)
% 21.40/5.62 |
% 21.40/5.62 | Combining equations (887,819) yields a new equation:
% 21.40/5.62 | (414) e3 = e0
% 21.40/5.62 |
% 21.40/5.62 | Simplifying 414 yields:
% 21.40/5.62 | (415) e3 = e0
% 21.40/5.62 |
% 21.40/5.62 | Equations (415) can reduce 81 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (893) all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)
% 21.40/5.62 |
% 21.40/5.62 | Applying alpha-rule on (893) yields:
% 21.40/5.62 | (894) all_0_15_15 = e3
% 21.40/5.62 | (895) ~ (all_0_14_14 = e0)
% 21.40/5.62 | (896) ~ (all_0_46_46 = all_0_55_55)
% 21.40/5.62 |
% 21.40/5.62 | Equations (2994) can reduce 895 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (900) all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)
% 21.40/5.62 |
% 21.40/5.62 | Applying alpha-rule on (900) yields:
% 21.40/5.62 | (901) all_0_17_17 = e2
% 21.40/5.62 | (902) ~ (all_0_16_16 = e3)
% 21.40/5.62 | (883) ~ (all_0_44_44 = all_0_47_47)
% 21.40/5.62 |
% 21.40/5.62 | Combining equations (901,2256) yields a new equation:
% 21.40/5.62 | (573) e3 = e2
% 21.40/5.62 |
% 21.40/5.62 | Equations (573) can reduce 231 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (906) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)
% 21.40/5.62 |
% 21.40/5.62 | Applying alpha-rule on (906) yields:
% 21.40/5.62 | (907) all_0_20_20 = e2
% 21.40/5.62 | (908) ~ (all_0_19_19 = e1)
% 21.40/5.62 | (909) ~ (all_0_49_49 = all_0_53_53)
% 21.40/5.62 |
% 21.40/5.62 | Combining equations (907,808) yields a new equation:
% 21.40/5.62 | (573) e3 = e2
% 21.40/5.62 |
% 21.40/5.62 | Equations (573) can reduce 231 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (912) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)
% 21.40/5.62 |
% 21.40/5.62 | Applying alpha-rule on (912) yields:
% 21.40/5.62 | (913) all_0_22_22 = e2
% 21.40/5.62 | (914) ~ (all_0_21_21 = e0)
% 21.40/5.62 | (915) ~ (all_0_50_50 = all_0_56_56)
% 21.40/5.62 |
% 21.40/5.62 | Equations (2824) can reduce 914 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (918) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)
% 21.40/5.62 |
% 21.40/5.62 | Applying alpha-rule on (918) yields:
% 21.40/5.62 | (919) all_0_24_24 = e1
% 21.40/5.62 | (920) ~ (all_0_23_23 = e4)
% 21.40/5.62 | (864) ~ (all_0_40_40 = all_0_51_51)
% 21.40/5.62 |
% 21.40/5.62 | Combining equations (919,8568) yields a new equation:
% 21.40/5.62 | (934) e1 = e0
% 21.40/5.62 |
% 21.40/5.62 | Simplifying 934 yields:
% 21.40/5.62 | (935) e1 = e0
% 21.40/5.62 |
% 21.40/5.62 | Equations (935) can reduce 247 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (924) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)
% 21.40/5.62 |
% 21.40/5.62 | Applying alpha-rule on (924) yields:
% 21.40/5.62 | (925) all_0_26_26 = e1
% 21.40/5.62 | (926) ~ (all_0_25_25 = e3)
% 21.40/5.62 | (889) ~ (all_0_45_45 = all_0_52_52)
% 21.40/5.62 |
% 21.40/5.62 | Combining equations (925,3113) yields a new equation:
% 21.40/5.62 | (934) e1 = e0
% 21.40/5.62 |
% 21.40/5.62 | Simplifying 934 yields:
% 21.40/5.62 | (935) e1 = e0
% 21.40/5.62 |
% 21.40/5.62 | Equations (935) can reduce 247 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (930) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)
% 21.40/5.62 |
% 21.40/5.62 | Applying alpha-rule on (930) yields:
% 21.40/5.62 | (931) all_0_28_28 = e1
% 21.40/5.62 | (932) ~ (all_0_27_27 = e2)
% 21.40/5.62 | (909) ~ (all_0_49_49 = all_0_53_53)
% 21.40/5.62 |
% 21.40/5.62 | Combining equations (931,809) yields a new equation:
% 21.40/5.62 | (934) e1 = e0
% 21.40/5.62 |
% 21.40/5.62 | Simplifying 934 yields:
% 21.40/5.62 | (935) e1 = e0
% 21.40/5.62 |
% 21.40/5.62 | Equations (935) can reduce 247 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (937) all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)
% 21.40/5.62 |
% 21.40/5.62 | Applying alpha-rule on (937) yields:
% 21.40/5.62 | (938) all_0_30_30 = e0
% 21.40/5.62 | (939) ~ (all_0_29_29 = e4)
% 21.40/5.62 | (871) ~ (all_0_41_41 = all_0_54_54)
% 21.40/5.62 |
% 21.40/5.62 | Combining equations (2642,938) yields a new equation:
% 21.40/5.62 | (316) e4 = e0
% 21.40/5.62 |
% 21.40/5.62 | Simplifying 316 yields:
% 21.40/5.62 | (317) e4 = e0
% 21.40/5.62 |
% 21.40/5.62 | Equations (317) can reduce 43 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (944) all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)
% 21.40/5.62 |
% 21.40/5.62 | Applying alpha-rule on (944) yields:
% 21.40/5.62 | (945) all_0_32_32 = e0
% 21.40/5.62 | (946) ~ (all_0_31_31 = e3)
% 21.40/5.62 | (896) ~ (all_0_46_46 = all_0_55_55)
% 21.40/5.62 |
% 21.40/5.62 | Combining equations (5099,945) yields a new equation:
% 21.40/5.62 | (352) e2 = e0
% 21.40/5.62 |
% 21.40/5.62 | Simplifying 352 yields:
% 21.40/5.62 | (345) e2 = e0
% 21.40/5.62 |
% 21.40/5.62 | Equations (345) can reduce 133 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (949) all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)
% 21.40/5.62 |
% 21.40/5.62 | Applying alpha-rule on (949) yields:
% 21.40/5.62 | (950) all_0_34_34 = e0
% 21.40/5.62 | (951) ~ (all_0_33_33 = e2)
% 21.40/5.62 | (915) ~ (all_0_50_50 = all_0_56_56)
% 21.40/5.62 |
% 21.40/5.62 | Combining equations (8676,950) yields a new equation:
% 21.40/5.62 | (316) e4 = e0
% 21.40/5.62 |
% 21.40/5.62 | Simplifying 316 yields:
% 21.40/5.62 | (317) e4 = e0
% 21.40/5.62 |
% 21.40/5.62 | Equations (317) can reduce 43 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (956) all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)
% 21.40/5.62 |
% 21.40/5.62 | Applying alpha-rule on (956) yields:
% 21.40/5.62 | (957) all_0_36_36 = e0
% 21.40/5.62 | (958) ~ (all_0_35_35 = e1)
% 21.40/5.62 | (726) ~ (all_0_57_57 = e1)
% 21.40/5.62 |
% 21.40/5.62 | Combining equations (813,957) yields a new equation:
% 21.40/5.62 | (316) e4 = e0
% 21.40/5.62 |
% 21.40/5.62 | Simplifying 316 yields:
% 21.40/5.62 | (317) e4 = e0
% 21.40/5.62 |
% 21.40/5.62 | Equations (317) can reduce 43 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (963) all_0_42_42 = e2 & ~ (all_0_44_44 = e4)
% 21.40/5.62 |
% 21.40/5.62 | Applying alpha-rule on (963) yields:
% 21.40/5.62 | (737) all_0_42_42 = e2
% 21.40/5.62 | (407) ~ (all_0_44_44 = e4)
% 21.40/5.62 |
% 21.40/5.62 | Equations (403) can reduce 407 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (969) all_0_53_53 = e4 & ~ (all_0_51_51 = e2)
% 21.40/5.62 |
% 21.40/5.62 | Applying alpha-rule on (969) yields:
% 21.40/5.62 | (409) all_0_53_53 = e4
% 21.40/5.62 | (971) ~ (all_0_51_51 = e2)
% 21.40/5.62 |
% 21.40/5.62 | Combining equations (409,1254) yields a new equation:
% 21.40/5.62 | (553) e4 = e2
% 21.40/5.62 |
% 21.40/5.62 | Simplifying 553 yields:
% 21.40/5.62 | (504) e4 = e2
% 21.40/5.62 |
% 21.40/5.62 | Equations (504) can reduce 42 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (477) ~ (all_0_45_45 = e1)
% 21.40/5.62 | (982) all_0_49_49 = e1 | all_0_57_57 = e1
% 21.40/5.62 |
% 21.40/5.62 +-Applying beta-rule and splitting (28), into two cases.
% 21.40/5.62 |-Branch one:
% 21.40/5.62 | (979) all_0_42_42 = e1
% 21.40/5.62 |
% 21.40/5.62 | Combining equations (737,979) yields a new equation:
% 21.40/5.62 | (1250) e2 = e1
% 21.40/5.62 |
% 21.40/5.62 | Simplifying 1250 yields:
% 21.40/5.62 | (928) e2 = e1
% 21.40/5.62 |
% 21.40/5.62 | Equations (928) can reduce 122 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (785) ~ (all_0_42_42 = e1)
% 21.40/5.62 | (1997) all_0_43_43 = e1 | all_0_45_45 = e1
% 21.40/5.62 |
% 21.40/5.62 | Equations (737) can reduce 785 to:
% 21.40/5.62 | (122) ~ (e2 = e1)
% 21.40/5.62 |
% 21.40/5.62 +-Applying beta-rule and splitting (982), into two cases.
% 21.40/5.62 |-Branch one:
% 21.40/5.62 | (487) all_0_49_49 = e1
% 21.40/5.62 |
% 21.40/5.62 | Combining equations (487,491) yields a new equation:
% 21.40/5.62 | (484) e4 = e1
% 21.40/5.62 |
% 21.40/5.62 | Equations (484) can reduce 114 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (478) ~ (all_0_49_49 = e1)
% 21.40/5.62 | (476) all_0_57_57 = e1
% 21.40/5.62 |
% 21.40/5.62 | Combining equations (458,476) yields a new equation:
% 21.40/5.62 | (1250) e2 = e1
% 21.40/5.62 |
% 21.40/5.62 | Simplifying 1250 yields:
% 21.40/5.62 | (928) e2 = e1
% 21.40/5.62 |
% 21.40/5.62 | Equations (928) can reduce 122 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (452) ~ (all_0_57_57 = e2)
% 21.40/5.62 | (461) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e1
% 21.40/5.62 |
% 21.40/5.62 +-Applying beta-rule and splitting (160), into two cases.
% 21.40/5.62 |-Branch one:
% 21.40/5.62 | (752) all_0_45_45 = e2
% 21.40/5.62 |
% 21.40/5.62 | Equations (752) can reduce 730 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (730) ~ (all_0_45_45 = e2)
% 21.40/5.62 | (2552) all_0_45_45 = e4 | all_0_45_45 = e3 | all_0_45_45 = e1
% 21.40/5.62 |
% 21.40/5.62 +-Applying beta-rule and splitting (89), into two cases.
% 21.40/5.62 |-Branch one:
% 21.40/5.62 | (600) all_0_54_54 = e2
% 21.40/5.62 |
% 21.40/5.62 | Combining equations (600,724) yields a new equation:
% 21.40/5.62 | (1250) e2 = e1
% 21.40/5.62 |
% 21.40/5.62 | Simplifying 1250 yields:
% 21.40/5.62 | (928) e2 = e1
% 21.40/5.62 |
% 21.40/5.62 | Equations (928) can reduce 122 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (283) ~ (all_0_54_54 = e2)
% 21.40/5.62 | (603) all_0_55_55 = e2 | all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2
% 21.40/5.62 |
% 21.40/5.62 +-Applying beta-rule and splitting (211), into two cases.
% 21.40/5.62 |-Branch one:
% 21.40/5.62 | (784) all_0_45_45 = e1
% 21.40/5.62 |
% 21.40/5.62 | Equations (784) can reduce 730 to:
% 21.40/5.62 | (788) ~ (e2 = e1)
% 21.40/5.62 |
% 21.40/5.62 | Simplifying 788 yields:
% 21.40/5.62 | (122) ~ (e2 = e1)
% 21.40/5.62 |
% 21.40/5.62 +-Applying beta-rule and splitting (2741), into two cases.
% 21.40/5.62 |-Branch one:
% 21.40/5.62 | (752) all_0_45_45 = e2
% 21.40/5.62 |
% 21.40/5.62 | Combining equations (784,752) yields a new equation:
% 21.40/5.62 | (928) e2 = e1
% 21.40/5.62 |
% 21.40/5.62 | Equations (928) can reduce 122 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (730) ~ (all_0_45_45 = e2)
% 21.40/5.62 | (2747) all_0_49_49 = e2 | all_0_57_57 = e2
% 21.40/5.62 |
% 21.40/5.62 +-Applying beta-rule and splitting (603), into two cases.
% 21.40/5.62 |-Branch one:
% 21.40/5.62 | (450) all_0_55_55 = e2
% 21.40/5.62 |
% 21.40/5.62 | Combining equations (450,503) yields a new equation:
% 21.40/5.62 | (504) e4 = e2
% 21.40/5.62 |
% 21.40/5.62 | Equations (504) can reduce 42 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (1140) ~ (all_0_55_55 = e2)
% 21.40/5.62 | (1141) all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2
% 21.40/5.62 |
% 21.40/5.62 | Equations (503) can reduce 1140 to:
% 21.40/5.62 | (42) ~ (e4 = e2)
% 21.40/5.62 |
% 21.40/5.62 +-Applying beta-rule and splitting (2747), into two cases.
% 21.40/5.62 |-Branch one:
% 21.40/5.62 | (764) all_0_49_49 = e2
% 21.40/5.62 |
% 21.40/5.62 | Combining equations (764,491) yields a new equation:
% 21.40/5.62 | (504) e4 = e2
% 21.40/5.62 |
% 21.40/5.62 | Equations (504) can reduce 42 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (264) ~ (all_0_49_49 = e2)
% 21.40/5.62 | (458) all_0_57_57 = e2
% 21.40/5.62 |
% 21.40/5.62 | Equations (458) can reduce 452 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (477) ~ (all_0_45_45 = e1)
% 21.40/5.62 | (982) all_0_49_49 = e1 | all_0_57_57 = e1
% 21.40/5.62 |
% 21.40/5.62 +-Applying beta-rule and splitting (2552), into two cases.
% 21.40/5.62 |-Branch one:
% 21.40/5.62 | (481) all_0_45_45 = e4
% 21.40/5.62 |
% 21.40/5.62 | Equations (481) can reduce 489 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (489) ~ (all_0_45_45 = e4)
% 21.40/5.62 | (2556) all_0_45_45 = e3 | all_0_45_45 = e1
% 21.40/5.62 |
% 21.40/5.62 +-Applying beta-rule and splitting (2556), into two cases.
% 21.40/5.62 |-Branch one:
% 21.40/5.62 | (2016) all_0_45_45 = e3
% 21.40/5.62 |
% 21.40/5.62 | Equations (2016) can reduce 770 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.40/5.62 |-Branch two:
% 21.40/5.62 | (770) ~ (all_0_45_45 = e3)
% 21.40/5.62 | (784) all_0_45_45 = e1
% 21.40/5.62 |
% 21.40/5.62 | Equations (784) can reduce 477 to:
% 21.40/5.62 | (301) $false
% 21.40/5.62 |
% 21.40/5.62 |-The branch is then unsatisfiable
% 21.51/5.63 |-Branch two:
% 21.51/5.63 | (277) ~ (all_0_42_42 = e2)
% 21.51/5.63 | (1196) all_0_51_51 = e2 | all_0_54_54 = e2
% 21.51/5.63 |
% 21.51/5.63 +-Applying beta-rule and splitting (1196), into two cases.
% 21.51/5.63 |-Branch one:
% 21.51/5.63 | (276) all_0_51_51 = e2
% 21.51/5.63 |
% 21.51/5.63 | Combining equations (276,654) yields a new equation:
% 21.51/5.63 | (504) e4 = e2
% 21.51/5.63 |
% 21.51/5.63 | Equations (504) can reduce 42 to:
% 21.51/5.63 | (301) $false
% 21.51/5.63 |
% 21.51/5.63 |-The branch is then unsatisfiable
% 21.51/5.63 |-Branch two:
% 21.51/5.63 | (971) ~ (all_0_51_51 = e2)
% 21.51/5.63 | (600) all_0_54_54 = e2
% 21.51/5.63 |
% 21.51/5.63 | Equations (600) can reduce 223 to:
% 21.51/5.63 | (451) ~ (all_0_57_57 = e2)
% 21.51/5.63 |
% 21.51/5.63 | Simplifying 451 yields:
% 21.51/5.63 | (452) ~ (all_0_57_57 = e2)
% 21.51/5.63 |
% 21.51/5.63 | Equations (600) can reduce 643 to:
% 21.51/5.63 | (271) ~ (e4 = e2)
% 21.51/5.63 |
% 21.51/5.63 | Simplifying 271 yields:
% 21.51/5.63 | (42) ~ (e4 = e2)
% 21.51/5.63 |
% 21.51/5.63 | Equations (600) can reduce 206 to:
% 21.51/5.63 | (284) ~ (e3 = e2)
% 21.51/5.63 |
% 21.51/5.63 | Simplifying 284 yields:
% 21.51/5.63 | (231) ~ (e3 = e2)
% 21.51/5.63 |
% 21.51/5.63 | From (600) and (52) follows:
% 21.51/5.63 | (8979) op(e2, e4) = all_0_30_30
% 21.51/5.63 |
% 21.51/5.63 +-Applying beta-rule and splitting (186), into two cases.
% 21.51/5.63 |-Branch one:
% 21.51/5.63 | (979) all_0_42_42 = e1
% 21.51/5.63 |
% 21.51/5.63 | Equations (979) can reduce 208 to:
% 21.51/5.63 | (3832) ~ (all_0_45_45 = e1)
% 21.51/5.63 |
% 21.51/5.63 | Simplifying 3832 yields:
% 21.51/5.63 | (477) ~ (all_0_45_45 = e1)
% 21.51/5.63 |
% 21.51/5.63 | Equations (979) can reduce 974 to:
% 21.51/5.63 | (479) ~ (e4 = e1)
% 21.51/5.63 |
% 21.51/5.63 | Simplifying 479 yields:
% 21.51/5.63 | (114) ~ (e4 = e1)
% 21.51/5.63 |
% 21.51/5.63 | From (979) and (159) follows:
% 21.51/5.63 | (1567) op(e1, e4) = all_0_8_8
% 21.51/5.63 |
% 21.51/5.63 +-Applying beta-rule and splitting (160), into two cases.
% 21.51/5.63 |-Branch one:
% 21.51/5.63 | (752) all_0_45_45 = e2
% 21.51/5.63 |
% 21.51/5.63 | Combining equations (752,5007) yields a new equation:
% 21.51/5.63 | (1726) all_0_4_4 = e2
% 21.51/5.63 |
% 21.51/5.63 | Equations (752) can reduce 75 to:
% 21.51/5.63 | (451) ~ (all_0_57_57 = e2)
% 21.51/5.63 |
% 21.51/5.63 | Simplifying 451 yields:
% 21.51/5.63 | (452) ~ (all_0_57_57 = e2)
% 21.51/5.63 |
% 21.51/5.63 | Equations (752) can reduce 489 to:
% 21.51/5.63 | (271) ~ (e4 = e2)
% 21.51/5.63 |
% 21.51/5.63 | Simplifying 271 yields:
% 21.51/5.63 | (42) ~ (e4 = e2)
% 21.51/5.63 |
% 21.51/5.63 | Equations (752) can reduce 770 to:
% 21.51/5.63 | (284) ~ (e3 = e2)
% 21.51/5.63 |
% 21.51/5.63 | Simplifying 284 yields:
% 21.51/5.63 | (231) ~ (e3 = e2)
% 21.51/5.63 |
% 21.51/5.63 | Equations (752) can reduce 477 to:
% 21.51/5.63 | (122) ~ (e2 = e1)
% 21.51/5.63 |
% 21.51/5.63 | Equations (752) can reduce 163 to:
% 21.51/5.63 | (133) ~ (e2 = e0)
% 21.51/5.63 |
% 21.51/5.63 | From (752) and (44) follows:
% 21.51/5.63 | (1557) op(e2, e1) = all_0_13_13
% 21.51/5.63 |
% 21.51/5.63 +-Applying beta-rule and splitting (19), into two cases.
% 21.51/5.63 |-Branch one:
% 21.51/5.63 | (458) all_0_57_57 = e2
% 21.51/5.63 |
% 21.51/5.63 | Equations (458) can reduce 452 to:
% 21.51/5.63 | (301) $false
% 21.51/5.63 |
% 21.51/5.63 |-The branch is then unsatisfiable
% 21.51/5.63 |-Branch two:
% 21.51/5.63 | (452) ~ (all_0_57_57 = e2)
% 21.51/5.63 | (461) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e1
% 21.51/5.63 |
% 21.51/5.63 +-Applying beta-rule and splitting (9), into two cases.
% 21.51/5.63 |-Branch one:
% 21.51/5.63 | (724) all_0_54_54 = e1
% 21.51/5.63 |
% 21.51/5.63 | Combining equations (724,600) yields a new equation:
% 21.51/5.63 | (928) e2 = e1
% 21.51/5.63 |
% 21.51/5.63 | Equations (928) can reduce 122 to:
% 21.51/5.63 | (301) $false
% 21.51/5.63 |
% 21.51/5.63 |-The branch is then unsatisfiable
% 21.51/5.63 |-Branch two:
% 21.51/5.63 | (1566) ~ (all_0_54_54 = e1)
% 21.51/5.63 | (1691) all_0_55_55 = e1 | all_0_57_57 = e1
% 21.51/5.63 |
% 21.51/5.63 +-Applying beta-rule and splitting (1691), into two cases.
% 21.51/5.63 |-Branch one:
% 21.51/5.63 | (1020) all_0_55_55 = e1
% 21.51/5.63 |
% 21.51/5.63 | Combining equations (1020,503) yields a new equation:
% 21.51/5.63 | (484) e4 = e1
% 21.51/5.63 |
% 21.51/5.63 | Equations (484) can reduce 114 to:
% 21.51/5.63 | (301) $false
% 21.51/5.63 |
% 21.51/5.63 |-The branch is then unsatisfiable
% 21.51/5.63 |-Branch two:
% 21.51/5.63 | (1696) ~ (all_0_55_55 = e1)
% 21.51/5.63 | (476) all_0_57_57 = e1
% 21.51/5.63 |
% 21.51/5.63 | Equations (476) can reduce 377 to:
% 21.51/5.63 | (479) ~ (e4 = e1)
% 21.51/5.63 |
% 21.51/5.63 | Simplifying 479 yields:
% 21.51/5.63 | (114) ~ (e4 = e1)
% 21.51/5.63 |
% 21.51/5.63 | Equations (476) can reduce 425 to:
% 21.51/5.63 | (786) ~ (e3 = e1)
% 21.51/5.63 |
% 21.51/5.63 | Simplifying 786 yields:
% 21.51/5.63 | (234) ~ (e3 = e1)
% 21.51/5.63 |
% 21.51/5.63 | Equations (476) can reduce 452 to:
% 21.51/5.63 | (788) ~ (e2 = e1)
% 21.51/5.63 |
% 21.51/5.63 | Simplifying 788 yields:
% 21.51/5.63 | (122) ~ (e2 = e1)
% 21.51/5.63 |
% 21.51/5.63 | Equations (476) can reduce 189 to:
% 21.51/5.63 | (247) ~ (e1 = e0)
% 21.51/5.63 |
% 21.51/5.63 | Instantiating formula (151) with e2, e4, all_0_30_30, e3 and discharging atoms op(e2, e4) = all_0_30_30, op(e2, e4) = e3, yields:
% 21.51/5.63 | (9018) all_0_30_30 = e3
% 21.51/5.63 |
% 21.51/5.63 | Instantiating formula (151) with e2, e1, all_0_13_13, e4 and discharging atoms op(e2, e1) = all_0_13_13, op(e2, e1) = e4, yields:
% 21.51/5.63 | (1729) all_0_13_13 = e4
% 21.51/5.63 |
% 21.51/5.63 | Instantiating formula (151) with e1, e4, all_0_8_8, e4 and discharging atoms op(e1, e4) = all_0_8_8, op(e1, e4) = e4, yields:
% 21.51/5.63 | (9020) all_0_8_8 = e4
% 21.51/5.63 |
% 21.51/5.63 +-Applying beta-rule and splitting (128), into two cases.
% 21.51/5.63 |-Branch one:
% 21.51/5.63 | (837) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)) | (all_0_42_42 = e2 & ~ (all_0_44_44 = e4))
% 21.51/5.63 |
% 21.51/5.63 +-Applying beta-rule and splitting (837), into two cases.
% 21.51/5.63 |-Branch one:
% 21.51/5.63 | (838) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1))
% 21.51/5.63 |
% 21.51/5.63 +-Applying beta-rule and splitting (838), into two cases.
% 21.51/5.63 |-Branch one:
% 21.51/5.63 | (839) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56))
% 21.51/5.63 |
% 21.51/5.63 +-Applying beta-rule and splitting (839), into two cases.
% 21.51/5.63 |-Branch one:
% 21.51/5.63 | (840) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55))
% 21.51/5.63 |
% 21.51/5.63 +-Applying beta-rule and splitting (840), into two cases.
% 21.51/5.63 |-Branch one:
% 21.51/5.63 | (841) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54))
% 21.51/5.63 |
% 21.51/5.63 +-Applying beta-rule and splitting (841), into two cases.
% 21.51/5.63 |-Branch one:
% 21.51/5.63 | (842) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53))
% 21.51/5.63 |
% 21.51/5.63 +-Applying beta-rule and splitting (842), into two cases.
% 21.51/5.63 |-Branch one:
% 21.51/5.63 | (843) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52))
% 21.51/5.63 |
% 21.51/5.63 +-Applying beta-rule and splitting (843), into two cases.
% 21.51/5.63 |-Branch one:
% 21.51/5.63 | (844) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51))
% 21.51/5.63 |
% 21.51/5.63 +-Applying beta-rule and splitting (844), into two cases.
% 21.51/5.63 |-Branch one:
% 21.51/5.63 | (845) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56))
% 21.51/5.63 |
% 21.51/5.63 +-Applying beta-rule and splitting (845), into two cases.
% 21.51/5.63 |-Branch one:
% 21.51/5.63 | (846) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53))
% 21.51/5.63 |
% 21.51/5.63 +-Applying beta-rule and splitting (846), into two cases.
% 21.51/5.63 |-Branch one:
% 21.51/5.63 | (847) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47))
% 21.51/5.63 |
% 21.51/5.63 +-Applying beta-rule and splitting (847), into two cases.
% 21.51/5.63 |-Branch one:
% 21.51/5.63 | (848) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55))
% 21.51/5.63 |
% 21.51/5.63 +-Applying beta-rule and splitting (848), into two cases.
% 21.51/5.63 |-Branch one:
% 21.51/5.63 | (849) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52))
% 21.51/5.63 |
% 21.51/5.63 +-Applying beta-rule and splitting (849), into two cases.
% 21.51/5.63 |-Branch one:
% 21.51/5.63 | (850) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47))
% 21.51/5.63 |
% 21.51/5.63 +-Applying beta-rule and splitting (850), into two cases.
% 21.51/5.63 |-Branch one:
% 21.51/5.63 | (851) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42))
% 21.51/5.63 |
% 21.51/5.63 +-Applying beta-rule and splitting (851), into two cases.
% 21.51/5.63 |-Branch one:
% 21.51/5.63 | (852) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54))
% 21.51/5.63 |
% 21.51/5.63 +-Applying beta-rule and splitting (852), into two cases.
% 21.51/5.63 |-Branch one:
% 21.51/5.63 | (853) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51))
% 21.51/5.63 |
% 21.51/5.63 +-Applying beta-rule and splitting (853), into two cases.
% 21.51/5.63 |-Branch one:
% 21.51/5.63 | (854) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)
% 21.51/5.63 |
% 21.51/5.63 | Applying alpha-rule on (854) yields:
% 21.51/5.63 | (855) all_0_2_2 = e4
% 21.51/5.63 | (856) ~ (all_0_1_1 = e3)
% 21.51/5.63 | (857) ~ (all_0_39_39 = all_0_42_42)
% 21.51/5.63 |
% 21.51/5.63 | Combining equations (855,812) yields a new equation:
% 21.51/5.63 | (858) e4 = e1
% 21.51/5.63 |
% 21.51/5.63 | Simplifying 858 yields:
% 21.51/5.63 | (484) e4 = e1
% 21.51/5.63 |
% 21.51/5.63 | Equations (484) can reduce 114 to:
% 21.51/5.63 | (301) $false
% 21.51/5.63 |
% 21.51/5.63 |-The branch is then unsatisfiable
% 21.51/5.63 |-Branch two:
% 21.51/5.63 | (861) all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)
% 21.51/5.63 |
% 21.51/5.63 | Applying alpha-rule on (861) yields:
% 21.51/5.63 | (862) all_0_4_4 = e4
% 21.51/5.63 | (863) ~ (all_0_3_3 = e1)
% 21.51/5.63 | (864) ~ (all_0_40_40 = all_0_51_51)
% 21.51/5.63 |
% 21.51/5.63 | Combining equations (862,1726) yields a new equation:
% 21.51/5.63 | (553) e4 = e2
% 21.51/5.63 |
% 21.51/5.63 | Simplifying 553 yields:
% 21.51/5.63 | (504) e4 = e2
% 21.51/5.63 |
% 21.51/5.63 | Equations (504) can reduce 42 to:
% 21.51/5.63 | (301) $false
% 21.51/5.63 |
% 21.51/5.63 |-The branch is then unsatisfiable
% 21.51/5.63 |-Branch two:
% 21.51/5.63 | (868) all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)
% 21.51/5.63 |
% 21.51/5.63 | Applying alpha-rule on (868) yields:
% 21.51/5.63 | (869) all_0_6_6 = e4
% 21.51/5.63 | (870) ~ (all_0_5_5 = e0)
% 21.51/5.63 | (871) ~ (all_0_41_41 = all_0_54_54)
% 21.51/5.63 |
% 21.51/5.63 | Equations (802) can reduce 870 to:
% 21.51/5.63 | (301) $false
% 21.51/5.63 |
% 21.51/5.63 |-The branch is then unsatisfiable
% 21.51/5.63 |-Branch two:
% 21.51/5.63 | (873) all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)
% 21.51/5.63 |
% 21.51/5.63 | Applying alpha-rule on (873) yields:
% 21.51/5.63 | (874) all_0_8_8 = e3
% 21.51/5.63 | (875) ~ (all_0_7_7 = e4)
% 21.51/5.63 | (857) ~ (all_0_39_39 = all_0_42_42)
% 21.51/5.63 |
% 21.51/5.63 | Combining equations (874,9020) yields a new equation:
% 21.51/5.63 | (420) e4 = e3
% 21.51/5.63 |
% 21.51/5.63 | Equations (420) can reduce 199 to:
% 21.51/5.63 | (301) $false
% 21.51/5.63 |
% 21.51/5.63 |-The branch is then unsatisfiable
% 21.51/5.63 |-Branch two:
% 21.51/5.63 | (880) all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)
% 21.51/5.63 |
% 21.51/5.63 | Applying alpha-rule on (880) yields:
% 21.51/5.63 | (881) all_0_11_11 = e3
% 21.51/5.63 | (882) ~ (all_0_10_10 = e2)
% 21.51/5.63 | (883) ~ (all_0_44_44 = all_0_47_47)
% 21.51/5.63 |
% 21.51/5.63 | Combining equations (881,1721) yields a new equation:
% 21.51/5.63 | (707) e3 = e1
% 21.51/5.63 |
% 21.51/5.63 | Simplifying 707 yields:
% 21.51/5.63 | (708) e3 = e1
% 21.51/5.63 |
% 21.51/5.63 | Equations (708) can reduce 234 to:
% 21.51/5.63 | (301) $false
% 21.51/5.63 |
% 21.51/5.63 |-The branch is then unsatisfiable
% 21.51/5.63 |-Branch two:
% 21.51/5.63 | (886) all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)
% 21.51/5.63 |
% 21.51/5.63 | Applying alpha-rule on (886) yields:
% 21.51/5.63 | (887) all_0_13_13 = e3
% 21.51/5.63 | (888) ~ (all_0_12_12 = e1)
% 21.51/5.63 | (889) ~ (all_0_45_45 = all_0_52_52)
% 21.51/5.63 |
% 21.51/5.63 | Combining equations (887,1729) yields a new equation:
% 21.51/5.63 | (420) e4 = e3
% 21.51/5.63 |
% 21.51/5.63 | Equations (420) can reduce 199 to:
% 21.51/5.63 | (301) $false
% 21.51/5.63 |
% 21.51/5.63 |-The branch is then unsatisfiable
% 21.51/5.63 |-Branch two:
% 21.51/5.63 | (893) all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)
% 21.51/5.63 |
% 21.51/5.63 | Applying alpha-rule on (893) yields:
% 21.51/5.63 | (894) all_0_15_15 = e3
% 21.51/5.63 | (895) ~ (all_0_14_14 = e0)
% 21.51/5.63 | (896) ~ (all_0_46_46 = all_0_55_55)
% 21.51/5.63 |
% 21.51/5.63 | Equations (2994) can reduce 895 to:
% 21.51/5.63 | (301) $false
% 21.51/5.63 |
% 21.51/5.63 |-The branch is then unsatisfiable
% 21.51/5.63 |-Branch two:
% 21.51/5.63 | (900) all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)
% 21.51/5.63 |
% 21.51/5.63 | Applying alpha-rule on (900) yields:
% 21.51/5.63 | (901) all_0_17_17 = e2
% 21.51/5.64 | (902) ~ (all_0_16_16 = e3)
% 21.51/5.64 | (883) ~ (all_0_44_44 = all_0_47_47)
% 21.51/5.64 |
% 21.51/5.64 | Combining equations (901,2256) yields a new equation:
% 21.51/5.64 | (573) e3 = e2
% 21.51/5.64 |
% 21.51/5.64 | Equations (573) can reduce 231 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (906) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)
% 21.51/5.64 |
% 21.51/5.64 | Applying alpha-rule on (906) yields:
% 21.51/5.64 | (907) all_0_20_20 = e2
% 21.51/5.64 | (908) ~ (all_0_19_19 = e1)
% 21.51/5.64 | (909) ~ (all_0_49_49 = all_0_53_53)
% 21.51/5.64 |
% 21.51/5.64 | Combining equations (907,808) yields a new equation:
% 21.51/5.64 | (573) e3 = e2
% 21.51/5.64 |
% 21.51/5.64 | Equations (573) can reduce 231 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (912) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)
% 21.51/5.64 |
% 21.51/5.64 | Applying alpha-rule on (912) yields:
% 21.51/5.64 | (913) all_0_22_22 = e2
% 21.51/5.64 | (914) ~ (all_0_21_21 = e0)
% 21.51/5.64 | (915) ~ (all_0_50_50 = all_0_56_56)
% 21.51/5.64 |
% 21.51/5.64 | Equations (2824) can reduce 914 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (918) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)
% 21.51/5.64 |
% 21.51/5.64 | Applying alpha-rule on (918) yields:
% 21.51/5.64 | (919) all_0_24_24 = e1
% 21.51/5.64 | (920) ~ (all_0_23_23 = e4)
% 21.51/5.64 | (864) ~ (all_0_40_40 = all_0_51_51)
% 21.51/5.64 |
% 21.51/5.64 | Combining equations (919,8568) yields a new equation:
% 21.51/5.64 | (934) e1 = e0
% 21.51/5.64 |
% 21.51/5.64 | Simplifying 934 yields:
% 21.51/5.64 | (935) e1 = e0
% 21.51/5.64 |
% 21.51/5.64 | Equations (935) can reduce 247 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (924) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)
% 21.51/5.64 |
% 21.51/5.64 | Applying alpha-rule on (924) yields:
% 21.51/5.64 | (925) all_0_26_26 = e1
% 21.51/5.64 | (926) ~ (all_0_25_25 = e3)
% 21.51/5.64 | (889) ~ (all_0_45_45 = all_0_52_52)
% 21.51/5.64 |
% 21.51/5.64 | Combining equations (925,3113) yields a new equation:
% 21.51/5.64 | (934) e1 = e0
% 21.51/5.64 |
% 21.51/5.64 | Simplifying 934 yields:
% 21.51/5.64 | (935) e1 = e0
% 21.51/5.64 |
% 21.51/5.64 | Equations (935) can reduce 247 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (930) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)
% 21.51/5.64 |
% 21.51/5.64 | Applying alpha-rule on (930) yields:
% 21.51/5.64 | (931) all_0_28_28 = e1
% 21.51/5.64 | (932) ~ (all_0_27_27 = e2)
% 21.51/5.64 | (909) ~ (all_0_49_49 = all_0_53_53)
% 21.51/5.64 |
% 21.51/5.64 | Combining equations (931,809) yields a new equation:
% 21.51/5.64 | (934) e1 = e0
% 21.51/5.64 |
% 21.51/5.64 | Simplifying 934 yields:
% 21.51/5.64 | (935) e1 = e0
% 21.51/5.64 |
% 21.51/5.64 | Equations (935) can reduce 247 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (937) all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)
% 21.51/5.64 |
% 21.51/5.64 | Applying alpha-rule on (937) yields:
% 21.51/5.64 | (938) all_0_30_30 = e0
% 21.51/5.64 | (939) ~ (all_0_29_29 = e4)
% 21.51/5.64 | (871) ~ (all_0_41_41 = all_0_54_54)
% 21.51/5.64 |
% 21.51/5.64 | Combining equations (9018,938) yields a new equation:
% 21.51/5.64 | (414) e3 = e0
% 21.51/5.64 |
% 21.51/5.64 | Simplifying 414 yields:
% 21.51/5.64 | (415) e3 = e0
% 21.51/5.64 |
% 21.51/5.64 | Equations (415) can reduce 81 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (944) all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)
% 21.51/5.64 |
% 21.51/5.64 | Applying alpha-rule on (944) yields:
% 21.51/5.64 | (945) all_0_32_32 = e0
% 21.51/5.64 | (946) ~ (all_0_31_31 = e3)
% 21.51/5.64 | (896) ~ (all_0_46_46 = all_0_55_55)
% 21.51/5.64 |
% 21.51/5.64 | Combining equations (5099,945) yields a new equation:
% 21.51/5.64 | (352) e2 = e0
% 21.51/5.64 |
% 21.51/5.64 | Simplifying 352 yields:
% 21.51/5.64 | (345) e2 = e0
% 21.51/5.64 |
% 21.51/5.64 | Equations (345) can reduce 133 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (949) all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)
% 21.51/5.64 |
% 21.51/5.64 | Applying alpha-rule on (949) yields:
% 21.51/5.64 | (950) all_0_34_34 = e0
% 21.51/5.64 | (951) ~ (all_0_33_33 = e2)
% 21.51/5.64 | (915) ~ (all_0_50_50 = all_0_56_56)
% 21.51/5.64 |
% 21.51/5.64 | Combining equations (8676,950) yields a new equation:
% 21.51/5.64 | (316) e4 = e0
% 21.51/5.64 |
% 21.51/5.64 | Simplifying 316 yields:
% 21.51/5.64 | (317) e4 = e0
% 21.51/5.64 |
% 21.51/5.64 | Equations (317) can reduce 43 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (956) all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)
% 21.51/5.64 |
% 21.51/5.64 | Applying alpha-rule on (956) yields:
% 21.51/5.64 | (957) all_0_36_36 = e0
% 21.51/5.64 | (958) ~ (all_0_35_35 = e1)
% 21.51/5.64 | (726) ~ (all_0_57_57 = e1)
% 21.51/5.64 |
% 21.51/5.64 | Equations (476) can reduce 726 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (963) all_0_42_42 = e2 & ~ (all_0_44_44 = e4)
% 21.51/5.64 |
% 21.51/5.64 | Applying alpha-rule on (963) yields:
% 21.51/5.64 | (737) all_0_42_42 = e2
% 21.51/5.64 | (407) ~ (all_0_44_44 = e4)
% 21.51/5.64 |
% 21.51/5.64 | Combining equations (979,737) yields a new equation:
% 21.51/5.64 | (928) e2 = e1
% 21.51/5.64 |
% 21.51/5.64 | Equations (928) can reduce 122 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (969) all_0_53_53 = e4 & ~ (all_0_51_51 = e2)
% 21.51/5.64 |
% 21.51/5.64 | Applying alpha-rule on (969) yields:
% 21.51/5.64 | (409) all_0_53_53 = e4
% 21.51/5.64 | (971) ~ (all_0_51_51 = e2)
% 21.51/5.64 |
% 21.51/5.64 | Combining equations (409,1254) yields a new equation:
% 21.51/5.64 | (553) e4 = e2
% 21.51/5.64 |
% 21.51/5.64 | Simplifying 553 yields:
% 21.51/5.64 | (504) e4 = e2
% 21.51/5.64 |
% 21.51/5.64 | Equations (504) can reduce 42 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (730) ~ (all_0_45_45 = e2)
% 21.51/5.64 | (2552) all_0_45_45 = e4 | all_0_45_45 = e3 | all_0_45_45 = e1
% 21.51/5.64 |
% 21.51/5.64 +-Applying beta-rule and splitting (19), into two cases.
% 21.51/5.64 |-Branch one:
% 21.51/5.64 | (458) all_0_57_57 = e2
% 21.51/5.64 |
% 21.51/5.64 | Equations (458) can reduce 452 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (452) ~ (all_0_57_57 = e2)
% 21.51/5.64 | (461) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e1
% 21.51/5.64 |
% 21.51/5.64 +-Applying beta-rule and splitting (169), into two cases.
% 21.51/5.64 |-Branch one:
% 21.51/5.64 | (1380) all_0_40_40 = e2
% 21.51/5.64 |
% 21.51/5.64 | Combining equations (768,1380) yields a new equation:
% 21.51/5.64 | (572) e3 = e2
% 21.51/5.64 |
% 21.51/5.64 | Simplifying 572 yields:
% 21.51/5.64 | (573) e3 = e2
% 21.51/5.64 |
% 21.51/5.64 | Equations (573) can reduce 231 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (729) ~ (all_0_40_40 = e2)
% 21.51/5.64 | (2741) all_0_45_45 = e2 | all_0_49_49 = e2 | all_0_57_57 = e2
% 21.51/5.64 |
% 21.51/5.64 +-Applying beta-rule and splitting (2741), into two cases.
% 21.51/5.64 |-Branch one:
% 21.51/5.64 | (752) all_0_45_45 = e2
% 21.51/5.64 |
% 21.51/5.64 | Equations (752) can reduce 730 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (730) ~ (all_0_45_45 = e2)
% 21.51/5.64 | (2747) all_0_49_49 = e2 | all_0_57_57 = e2
% 21.51/5.64 |
% 21.51/5.64 +-Applying beta-rule and splitting (2747), into two cases.
% 21.51/5.64 |-Branch one:
% 21.51/5.64 | (764) all_0_49_49 = e2
% 21.51/5.64 |
% 21.51/5.64 | Combining equations (491,764) yields a new equation:
% 21.51/5.64 | (553) e4 = e2
% 21.51/5.64 |
% 21.51/5.64 | Simplifying 553 yields:
% 21.51/5.64 | (504) e4 = e2
% 21.51/5.64 |
% 21.51/5.64 | Equations (504) can reduce 42 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (264) ~ (all_0_49_49 = e2)
% 21.51/5.64 | (458) all_0_57_57 = e2
% 21.51/5.64 |
% 21.51/5.64 | Equations (458) can reduce 452 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (785) ~ (all_0_42_42 = e1)
% 21.51/5.64 | (724) all_0_54_54 = e1
% 21.51/5.64 |
% 21.51/5.64 | Combining equations (724,600) yields a new equation:
% 21.51/5.64 | (928) e2 = e1
% 21.51/5.64 |
% 21.51/5.64 | Equations (928) can reduce 122 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (375) ~ (all_0_55_55 = e4)
% 21.51/5.64 | (4389) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0
% 21.51/5.64 |
% 21.51/5.64 +-Applying beta-rule and splitting (4389), into two cases.
% 21.51/5.64 |-Branch one:
% 21.51/5.64 | (520) all_0_55_55 = e0
% 21.51/5.64 |
% 21.51/5.64 | Equations (520) can reduce 372 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (372) ~ (all_0_55_55 = e0)
% 21.51/5.64 | (5747) all_0_55_55 = e3 | all_0_55_55 = e1
% 21.51/5.64 |
% 21.51/5.64 +-Applying beta-rule and splitting (5747), into two cases.
% 21.51/5.64 |-Branch one:
% 21.51/5.64 | (1031) all_0_55_55 = e3
% 21.51/5.64 |
% 21.51/5.64 | Equations (1031) can reduce 1935 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (1935) ~ (all_0_55_55 = e3)
% 21.51/5.64 | (1020) all_0_55_55 = e1
% 21.51/5.64 |
% 21.51/5.64 | Equations (1020) can reduce 1696 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (464) ~ (all_0_49_49 = e4)
% 21.51/5.64 | (335) all_0_50_50 = e4
% 21.51/5.64 |
% 21.51/5.64 | Combining equations (335,331) yields a new equation:
% 21.51/5.64 | (553) e4 = e2
% 21.51/5.64 |
% 21.51/5.64 | Simplifying 553 yields:
% 21.51/5.64 | (504) e4 = e2
% 21.51/5.64 |
% 21.51/5.64 | Equations (504) can reduce 42 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (486) ~ (all_0_47_47 = e1)
% 21.51/5.64 | (487) all_0_49_49 = e1
% 21.51/5.64 |
% 21.51/5.64 | Equations (487) can reduce 23 to:
% 21.51/5.64 | (477) ~ (all_0_45_45 = e1)
% 21.51/5.64 |
% 21.51/5.64 | Equations (487) can reduce 93 to:
% 21.51/5.64 | (486) ~ (all_0_47_47 = e1)
% 21.51/5.64 |
% 21.51/5.64 | Equations (487) can reduce 94 to:
% 21.51/5.64 | (725) ~ (all_0_57_57 = e1)
% 21.51/5.64 |
% 21.51/5.64 | Simplifying 725 yields:
% 21.51/5.64 | (726) ~ (all_0_57_57 = e1)
% 21.51/5.64 |
% 21.51/5.64 | From (487) and (162) follows:
% 21.51/5.64 | (3316) op(e1, e1) = all_0_20_20
% 21.51/5.64 |
% 21.51/5.64 | From (487) and (193) follows:
% 21.51/5.64 | (2664) op(e2, e1) = e1
% 21.51/5.64 |
% 21.51/5.64 +-Applying beta-rule and splitting (233), into two cases.
% 21.51/5.64 |-Branch one:
% 21.51/5.64 | (465) all_0_40_40 = e4
% 21.51/5.64 |
% 21.51/5.64 | Combining equations (768,465) yields a new equation:
% 21.51/5.64 | (420) e4 = e3
% 21.51/5.64 |
% 21.51/5.64 | Equations (420) can reduce 199 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (298) ~ (all_0_40_40 = e4)
% 21.51/5.64 | (468) all_0_45_45 = e4 | all_0_49_49 = e4 | all_0_57_57 = e4
% 21.51/5.64 |
% 21.51/5.64 +-Applying beta-rule and splitting (176), into two cases.
% 21.51/5.64 |-Branch one:
% 21.51/5.64 | (462) all_0_47_47 = e4
% 21.51/5.64 |
% 21.51/5.64 | Equations (462) can reduce 153 to:
% 21.51/5.64 | (4449) ~ (all_0_55_55 = e4)
% 21.51/5.64 |
% 21.51/5.64 | Simplifying 4449 yields:
% 21.51/5.64 | (375) ~ (all_0_55_55 = e4)
% 21.51/5.64 |
% 21.51/5.64 +-Applying beta-rule and splitting (160), into two cases.
% 21.51/5.64 |-Branch one:
% 21.51/5.64 | (752) all_0_45_45 = e2
% 21.51/5.64 |
% 21.51/5.64 | Combining equations (752,5007) yields a new equation:
% 21.51/5.64 | (1726) all_0_4_4 = e2
% 21.51/5.64 |
% 21.51/5.64 | Equations (752) can reduce 208 to:
% 21.51/5.64 | (277) ~ (all_0_42_42 = e2)
% 21.51/5.64 |
% 21.51/5.64 | Equations (752) can reduce 489 to:
% 21.51/5.64 | (271) ~ (e4 = e2)
% 21.51/5.64 |
% 21.51/5.64 | Simplifying 271 yields:
% 21.51/5.64 | (42) ~ (e4 = e2)
% 21.51/5.64 |
% 21.51/5.64 | Equations (752) can reduce 477 to:
% 21.51/5.64 | (122) ~ (e2 = e1)
% 21.51/5.64 |
% 21.51/5.64 | From (752) and (44) follows:
% 21.51/5.64 | (1557) op(e2, e1) = all_0_13_13
% 21.51/5.64 |
% 21.51/5.64 +-Applying beta-rule and splitting (145), into two cases.
% 21.51/5.64 |-Branch one:
% 21.51/5.64 | (737) all_0_42_42 = e2
% 21.51/5.64 |
% 21.51/5.64 | Equations (737) can reduce 277 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (277) ~ (all_0_42_42 = e2)
% 21.51/5.64 | (1196) all_0_51_51 = e2 | all_0_54_54 = e2
% 21.51/5.64 |
% 21.51/5.64 +-Applying beta-rule and splitting (1196), into two cases.
% 21.51/5.64 |-Branch one:
% 21.51/5.64 | (276) all_0_51_51 = e2
% 21.51/5.64 |
% 21.51/5.64 | Combining equations (654,276) yields a new equation:
% 21.51/5.64 | (553) e4 = e2
% 21.51/5.64 |
% 21.51/5.64 | Simplifying 553 yields:
% 21.51/5.64 | (504) e4 = e2
% 21.51/5.64 |
% 21.51/5.64 | Equations (504) can reduce 42 to:
% 21.51/5.64 | (301) $false
% 21.51/5.64 |
% 21.51/5.64 |-The branch is then unsatisfiable
% 21.51/5.64 |-Branch two:
% 21.51/5.64 | (971) ~ (all_0_51_51 = e2)
% 21.51/5.64 | (600) all_0_54_54 = e2
% 21.51/5.64 |
% 21.51/5.64 | Equations (600) can reduce 181 to:
% 21.51/5.64 | (277) ~ (all_0_42_42 = e2)
% 21.51/5.64 |
% 21.51/5.64 | Equations (600) can reduce 144 to:
% 21.51/5.64 | (1270) ~ (all_0_55_55 = e2)
% 21.51/5.64 |
% 21.51/5.64 | Simplifying 1270 yields:
% 21.51/5.64 | (1140) ~ (all_0_55_55 = e2)
% 21.51/5.64 |
% 21.51/5.64 | Equations (600) can reduce 223 to:
% 21.51/5.64 | (451) ~ (all_0_57_57 = e2)
% 21.51/5.64 |
% 21.51/5.64 | Simplifying 451 yields:
% 21.51/5.64 | (452) ~ (all_0_57_57 = e2)
% 21.51/5.64 |
% 21.51/5.64 | Equations (600) can reduce 643 to:
% 21.51/5.64 | (271) ~ (e4 = e2)
% 21.51/5.64 |
% 21.51/5.64 | Simplifying 271 yields:
% 21.51/5.64 | (42) ~ (e4 = e2)
% 21.51/5.64 |
% 21.51/5.64 | Equations (600) can reduce 682 to:
% 21.51/5.64 | (133) ~ (e2 = e0)
% 21.51/5.64 |
% 21.51/5.64 | From (600) and (52) follows:
% 21.51/5.64 | (8979) op(e2, e4) = all_0_30_30
% 21.51/5.64 |
% 21.51/5.64 +-Applying beta-rule and splitting (186), into two cases.
% 21.51/5.64 |-Branch one:
% 21.51/5.64 | (979) all_0_42_42 = e1
% 21.51/5.64 |
% 21.51/5.65 | Equations (979) can reduce 277 to:
% 21.51/5.65 | (788) ~ (e2 = e1)
% 21.51/5.65 |
% 21.51/5.65 | Simplifying 788 yields:
% 21.51/5.65 | (122) ~ (e2 = e1)
% 21.51/5.65 |
% 21.51/5.65 | From (979) and (159) follows:
% 21.51/5.65 | (1567) op(e1, e4) = all_0_8_8
% 21.51/5.65 |
% 21.51/5.65 | From (979) and (105) follows:
% 21.51/5.65 | (1568) op(e1, e3) = all_0_7_7
% 21.51/5.65 |
% 21.51/5.65 +-Applying beta-rule and splitting (19), into two cases.
% 21.51/5.65 |-Branch one:
% 21.51/5.65 | (458) all_0_57_57 = e2
% 21.51/5.65 |
% 21.51/5.65 | Equations (458) can reduce 452 to:
% 21.51/5.65 | (301) $false
% 21.51/5.65 |
% 21.51/5.65 |-The branch is then unsatisfiable
% 21.51/5.65 |-Branch two:
% 21.51/5.65 | (452) ~ (all_0_57_57 = e2)
% 21.51/5.65 | (461) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e1
% 21.51/5.65 |
% 21.51/5.65 +-Applying beta-rule and splitting (9), into two cases.
% 21.51/5.65 |-Branch one:
% 21.51/5.65 | (724) all_0_54_54 = e1
% 21.51/5.65 |
% 21.51/5.65 | Combining equations (600,724) yields a new equation:
% 21.51/5.65 | (1250) e2 = e1
% 21.51/5.65 |
% 21.51/5.65 | Simplifying 1250 yields:
% 21.51/5.65 | (928) e2 = e1
% 21.51/5.65 |
% 21.51/5.65 | Equations (928) can reduce 122 to:
% 21.51/5.65 | (301) $false
% 21.51/5.65 |
% 21.51/5.65 |-The branch is then unsatisfiable
% 21.51/5.65 |-Branch two:
% 21.51/5.65 | (1566) ~ (all_0_54_54 = e1)
% 21.51/5.65 | (1691) all_0_55_55 = e1 | all_0_57_57 = e1
% 21.51/5.65 |
% 21.51/5.65 +-Applying beta-rule and splitting (461), into two cases.
% 21.51/5.65 |-Branch one:
% 21.51/5.65 | (469) all_0_57_57 = e4
% 21.51/5.65 |
% 21.51/5.65 | Equations (469) can reduce 425 to:
% 21.51/5.65 | (199) ~ (e4 = e3)
% 21.51/5.65 |
% 21.51/5.65 | Equations (469) can reduce 452 to:
% 21.51/5.65 | (42) ~ (e4 = e2)
% 21.51/5.65 |
% 21.51/5.65 | Equations (469) can reduce 726 to:
% 21.51/5.65 | (114) ~ (e4 = e1)
% 21.51/5.65 |
% 21.51/5.65 | Equations (469) can reduce 189 to:
% 21.51/5.65 | (43) ~ (e4 = e0)
% 21.51/5.65 |
% 21.51/5.65 | From (469) and (73) follows:
% 21.51/5.65 | (3359) op(e4, e1) = all_0_36_36
% 21.51/5.65 |
% 21.51/5.65 +-Applying beta-rule and splitting (178), into two cases.
% 21.51/5.65 |-Branch one:
% 21.51/5.65 | (450) all_0_55_55 = e2
% 21.51/5.65 |
% 21.51/5.65 | Equations (450) can reduce 1140 to:
% 21.51/5.65 | (301) $false
% 21.51/5.65 |
% 21.51/5.65 |-The branch is then unsatisfiable
% 21.51/5.65 |-Branch two:
% 21.51/5.65 | (1140) ~ (all_0_55_55 = e2)
% 21.51/5.65 | (4354) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0
% 21.51/5.65 |
% 21.51/5.65 +-Applying beta-rule and splitting (1691), into two cases.
% 21.51/5.65 |-Branch one:
% 21.51/5.65 | (1020) all_0_55_55 = e1
% 21.51/5.65 |
% 21.51/5.65 | Equations (1020) can reduce 1935 to:
% 21.51/5.65 | (786) ~ (e3 = e1)
% 21.51/5.65 |
% 21.51/5.65 | Simplifying 786 yields:
% 21.51/5.65 | (234) ~ (e3 = e1)
% 21.51/5.65 |
% 21.51/5.65 | Equations (1020) can reduce 1140 to:
% 21.51/5.65 | (788) ~ (e2 = e1)
% 21.51/5.65 |
% 21.51/5.65 | Simplifying 788 yields:
% 21.51/5.65 | (122) ~ (e2 = e1)
% 21.51/5.65 |
% 21.51/5.65 | Equations (1020) can reduce 372 to:
% 21.51/5.65 | (247) ~ (e1 = e0)
% 21.51/5.65 |
% 21.51/5.65 | From (1020) and (97) follows:
% 21.51/5.65 | (4196) op(e1, e3) = all_0_32_32
% 21.51/5.65 |
% 21.51/5.65 | Instantiating formula (151) with e4, e1, all_0_36_36, e3 and discharging atoms op(e4, e1) = all_0_36_36, op(e4, e1) = e3, yields:
% 21.51/5.65 | (9273) all_0_36_36 = e3
% 21.51/5.65 |
% 21.51/5.65 | Instantiating formula (151) with e2, e4, all_0_30_30, e3 and discharging atoms op(e2, e4) = all_0_30_30, op(e2, e4) = e3, yields:
% 21.51/5.65 | (9018) all_0_30_30 = e3
% 21.51/5.65 |
% 21.51/5.65 | Instantiating formula (151) with e2, e1, e1, all_0_13_13 and discharging atoms op(e2, e1) = all_0_13_13, op(e2, e1) = e1, yields:
% 21.51/5.65 | (9275) all_0_13_13 = e1
% 21.51/5.65 |
% 21.51/5.65 | Instantiating formula (151) with e1, e4, all_0_8_8, e4 and discharging atoms op(e1, e4) = all_0_8_8, op(e1, e4) = e4, yields:
% 21.51/5.65 | (9020) all_0_8_8 = e4
% 21.51/5.65 |
% 21.51/5.65 | Instantiating formula (151) with e1, e3, all_0_7_7, e3 and discharging atoms op(e1, e3) = all_0_7_7, op(e1, e3) = e3, yields:
% 21.51/5.65 | (5311) all_0_7_7 = e3
% 21.51/5.65 |
% 21.51/5.65 | Instantiating formula (151) with e1, e3, all_0_32_32, all_0_7_7 and discharging atoms op(e1, e3) = all_0_7_7, op(e1, e3) = all_0_32_32, yields:
% 21.51/5.65 | (5093) all_0_7_7 = all_0_32_32
% 21.51/5.65 |
% 21.51/5.65 | Instantiating formula (151) with e1, e1, all_0_20_20, e0 and discharging atoms op(e1, e1) = all_0_20_20, op(e1, e1) = e0, yields:
% 21.51/5.65 | (3372) all_0_20_20 = e0
% 21.51/5.65 |
% 21.51/5.65 | Combining equations (5311,5093) yields a new equation:
% 21.51/5.65 | (4235) all_0_32_32 = e3
% 21.51/5.65 |
% 21.51/5.65 +-Applying beta-rule and splitting (128), into two cases.
% 21.51/5.65 |-Branch one:
% 21.51/5.65 | (837) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)) | (all_0_42_42 = e2 & ~ (all_0_44_44 = e4))
% 21.51/5.65 |
% 21.51/5.65 +-Applying beta-rule and splitting (837), into two cases.
% 21.51/5.65 |-Branch one:
% 21.51/5.65 | (838) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1))
% 21.51/5.65 |
% 21.51/5.65 +-Applying beta-rule and splitting (838), into two cases.
% 21.51/5.65 |-Branch one:
% 21.51/5.65 | (839) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56))
% 21.51/5.65 |
% 21.51/5.65 +-Applying beta-rule and splitting (839), into two cases.
% 21.51/5.65 |-Branch one:
% 21.51/5.65 | (840) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55))
% 21.51/5.65 |
% 21.51/5.65 +-Applying beta-rule and splitting (840), into two cases.
% 21.51/5.65 |-Branch one:
% 21.51/5.65 | (841) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54))
% 21.51/5.65 |
% 21.51/5.65 +-Applying beta-rule and splitting (841), into two cases.
% 21.51/5.65 |-Branch one:
% 21.51/5.65 | (842) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53))
% 21.51/5.65 |
% 21.51/5.65 +-Applying beta-rule and splitting (842), into two cases.
% 21.51/5.65 |-Branch one:
% 21.51/5.65 | (843) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52))
% 21.51/5.65 |
% 21.51/5.65 +-Applying beta-rule and splitting (843), into two cases.
% 21.51/5.65 |-Branch one:
% 21.51/5.65 | (844) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51))
% 21.51/5.65 |
% 21.51/5.65 +-Applying beta-rule and splitting (844), into two cases.
% 21.51/5.65 |-Branch one:
% 21.51/5.65 | (845) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56))
% 21.51/5.65 |
% 21.51/5.65 +-Applying beta-rule and splitting (845), into two cases.
% 21.51/5.65 |-Branch one:
% 21.51/5.65 | (846) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53))
% 21.51/5.65 |
% 21.51/5.65 +-Applying beta-rule and splitting (846), into two cases.
% 21.51/5.65 |-Branch one:
% 21.51/5.65 | (847) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47))
% 21.51/5.65 |
% 21.51/5.65 +-Applying beta-rule and splitting (847), into two cases.
% 21.51/5.65 |-Branch one:
% 21.51/5.65 | (848) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55))
% 21.51/5.65 |
% 21.51/5.65 +-Applying beta-rule and splitting (848), into two cases.
% 21.51/5.65 |-Branch one:
% 21.51/5.65 | (849) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52))
% 21.51/5.65 |
% 21.51/5.65 +-Applying beta-rule and splitting (849), into two cases.
% 21.51/5.65 |-Branch one:
% 21.51/5.65 | (850) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47))
% 21.51/5.65 |
% 21.51/5.65 +-Applying beta-rule and splitting (850), into two cases.
% 21.51/5.65 |-Branch one:
% 21.51/5.65 | (851) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42))
% 21.51/5.65 |
% 21.51/5.65 +-Applying beta-rule and splitting (851), into two cases.
% 21.51/5.65 |-Branch one:
% 21.51/5.65 | (852) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54))
% 21.51/5.65 |
% 21.51/5.65 +-Applying beta-rule and splitting (852), into two cases.
% 21.51/5.65 |-Branch one:
% 21.51/5.65 | (853) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51))
% 21.51/5.65 |
% 21.51/5.65 +-Applying beta-rule and splitting (853), into two cases.
% 21.51/5.65 |-Branch one:
% 21.51/5.65 | (854) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)
% 21.51/5.65 |
% 21.51/5.65 | Applying alpha-rule on (854) yields:
% 21.51/5.65 | (855) all_0_2_2 = e4
% 21.51/5.65 | (856) ~ (all_0_1_1 = e3)
% 21.51/5.65 | (857) ~ (all_0_39_39 = all_0_42_42)
% 21.51/5.65 |
% 21.51/5.65 | Equations (4231) can reduce 856 to:
% 21.51/5.65 | (301) $false
% 21.51/5.65 |
% 21.51/5.65 |-The branch is then unsatisfiable
% 21.51/5.65 |-Branch two:
% 21.51/5.65 | (861) all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)
% 21.51/5.65 |
% 21.51/5.65 | Applying alpha-rule on (861) yields:
% 21.51/5.65 | (862) all_0_4_4 = e4
% 21.51/5.65 | (863) ~ (all_0_3_3 = e1)
% 21.51/5.65 | (864) ~ (all_0_40_40 = all_0_51_51)
% 21.51/5.65 |
% 21.51/5.65 | Combining equations (862,1726) yields a new equation:
% 21.51/5.65 | (553) e4 = e2
% 21.51/5.65 |
% 21.51/5.65 | Simplifying 553 yields:
% 21.51/5.65 | (504) e4 = e2
% 21.51/5.65 |
% 21.51/5.65 | Equations (504) can reduce 42 to:
% 21.51/5.65 | (301) $false
% 21.51/5.65 |
% 21.51/5.65 |-The branch is then unsatisfiable
% 21.51/5.65 |-Branch two:
% 21.51/5.65 | (868) all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)
% 21.51/5.65 |
% 21.51/5.65 | Applying alpha-rule on (868) yields:
% 21.51/5.65 | (869) all_0_6_6 = e4
% 21.51/5.65 | (870) ~ (all_0_5_5 = e0)
% 21.51/5.65 | (871) ~ (all_0_41_41 = all_0_54_54)
% 21.51/5.65 |
% 21.51/5.65 | Equations (802) can reduce 870 to:
% 21.51/5.65 | (301) $false
% 21.51/5.65 |
% 21.51/5.65 |-The branch is then unsatisfiable
% 21.51/5.65 |-Branch two:
% 21.51/5.65 | (873) all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)
% 21.51/5.65 |
% 21.51/5.65 | Applying alpha-rule on (873) yields:
% 21.51/5.65 | (874) all_0_8_8 = e3
% 21.51/5.65 | (875) ~ (all_0_7_7 = e4)
% 21.51/5.65 | (857) ~ (all_0_39_39 = all_0_42_42)
% 21.51/5.65 |
% 21.51/5.65 | Combining equations (874,9020) yields a new equation:
% 21.51/5.65 | (420) e4 = e3
% 21.51/5.65 |
% 21.51/5.65 | Equations (420) can reduce 199 to:
% 21.51/5.65 | (301) $false
% 21.51/5.65 |
% 21.51/5.65 |-The branch is then unsatisfiable
% 21.51/5.65 |-Branch two:
% 21.51/5.65 | (880) all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)
% 21.51/5.65 |
% 21.51/5.65 | Applying alpha-rule on (880) yields:
% 21.51/5.65 | (881) all_0_11_11 = e3
% 21.51/5.66 | (882) ~ (all_0_10_10 = e2)
% 21.51/5.66 | (883) ~ (all_0_44_44 = all_0_47_47)
% 21.51/5.66 |
% 21.51/5.66 | Combining equations (881,1721) yields a new equation:
% 21.51/5.66 | (707) e3 = e1
% 21.51/5.66 |
% 21.51/5.66 | Simplifying 707 yields:
% 21.51/5.66 | (708) e3 = e1
% 21.51/5.66 |
% 21.51/5.66 | Equations (708) can reduce 234 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (886) all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)
% 21.51/5.66 |
% 21.51/5.66 | Applying alpha-rule on (886) yields:
% 21.51/5.66 | (887) all_0_13_13 = e3
% 21.51/5.66 | (888) ~ (all_0_12_12 = e1)
% 21.51/5.66 | (889) ~ (all_0_45_45 = all_0_52_52)
% 21.51/5.66 |
% 21.51/5.66 | Combining equations (887,9275) yields a new equation:
% 21.51/5.66 | (707) e3 = e1
% 21.51/5.66 |
% 21.51/5.66 | Simplifying 707 yields:
% 21.51/5.66 | (708) e3 = e1
% 21.51/5.66 |
% 21.51/5.66 | Equations (708) can reduce 234 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (893) all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)
% 21.51/5.66 |
% 21.51/5.66 | Applying alpha-rule on (893) yields:
% 21.51/5.66 | (894) all_0_15_15 = e3
% 21.51/5.66 | (895) ~ (all_0_14_14 = e0)
% 21.51/5.66 | (896) ~ (all_0_46_46 = all_0_55_55)
% 21.51/5.66 |
% 21.51/5.66 | Equations (2994) can reduce 895 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (900) all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)
% 21.51/5.66 |
% 21.51/5.66 | Applying alpha-rule on (900) yields:
% 21.51/5.66 | (901) all_0_17_17 = e2
% 21.51/5.66 | (902) ~ (all_0_16_16 = e3)
% 21.51/5.66 | (883) ~ (all_0_44_44 = all_0_47_47)
% 21.51/5.66 |
% 21.51/5.66 | Equations (403,462) can reduce 883 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (906) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)
% 21.51/5.66 |
% 21.51/5.66 | Applying alpha-rule on (906) yields:
% 21.51/5.66 | (907) all_0_20_20 = e2
% 21.51/5.66 | (908) ~ (all_0_19_19 = e1)
% 21.51/5.66 | (909) ~ (all_0_49_49 = all_0_53_53)
% 21.51/5.66 |
% 21.51/5.66 | Combining equations (907,3372) yields a new equation:
% 21.51/5.66 | (352) e2 = e0
% 21.51/5.66 |
% 21.51/5.66 | Simplifying 352 yields:
% 21.51/5.66 | (345) e2 = e0
% 21.51/5.66 |
% 21.51/5.66 | Equations (345) can reduce 133 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (912) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)
% 21.51/5.66 |
% 21.51/5.66 | Applying alpha-rule on (912) yields:
% 21.51/5.66 | (913) all_0_22_22 = e2
% 21.51/5.66 | (914) ~ (all_0_21_21 = e0)
% 21.51/5.66 | (915) ~ (all_0_50_50 = all_0_56_56)
% 21.51/5.66 |
% 21.51/5.66 | Equations (2824) can reduce 914 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (918) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)
% 21.51/5.66 |
% 21.51/5.66 | Applying alpha-rule on (918) yields:
% 21.51/5.66 | (919) all_0_24_24 = e1
% 21.51/5.66 | (920) ~ (all_0_23_23 = e4)
% 21.51/5.66 | (864) ~ (all_0_40_40 = all_0_51_51)
% 21.51/5.66 |
% 21.51/5.66 | Combining equations (919,8568) yields a new equation:
% 21.51/5.66 | (934) e1 = e0
% 21.51/5.66 |
% 21.51/5.66 | Simplifying 934 yields:
% 21.51/5.66 | (935) e1 = e0
% 21.51/5.66 |
% 21.51/5.66 | Equations (935) can reduce 247 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (924) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)
% 21.51/5.66 |
% 21.51/5.66 | Applying alpha-rule on (924) yields:
% 21.51/5.66 | (925) all_0_26_26 = e1
% 21.51/5.66 | (926) ~ (all_0_25_25 = e3)
% 21.51/5.66 | (889) ~ (all_0_45_45 = all_0_52_52)
% 21.51/5.66 |
% 21.51/5.66 | Combining equations (925,3113) yields a new equation:
% 21.51/5.66 | (934) e1 = e0
% 21.51/5.66 |
% 21.51/5.66 | Simplifying 934 yields:
% 21.51/5.66 | (935) e1 = e0
% 21.51/5.66 |
% 21.51/5.66 | Equations (935) can reduce 247 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (930) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)
% 21.51/5.66 |
% 21.51/5.66 | Applying alpha-rule on (930) yields:
% 21.51/5.66 | (931) all_0_28_28 = e1
% 21.51/5.66 | (932) ~ (all_0_27_27 = e2)
% 21.51/5.66 | (909) ~ (all_0_49_49 = all_0_53_53)
% 21.51/5.66 |
% 21.51/5.66 | Combining equations (931,809) yields a new equation:
% 21.51/5.66 | (934) e1 = e0
% 21.51/5.66 |
% 21.51/5.66 | Simplifying 934 yields:
% 21.51/5.66 | (935) e1 = e0
% 21.51/5.66 |
% 21.51/5.66 | Equations (935) can reduce 247 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (937) all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)
% 21.51/5.66 |
% 21.51/5.66 | Applying alpha-rule on (937) yields:
% 21.51/5.66 | (938) all_0_30_30 = e0
% 21.51/5.66 | (939) ~ (all_0_29_29 = e4)
% 21.51/5.66 | (871) ~ (all_0_41_41 = all_0_54_54)
% 21.51/5.66 |
% 21.51/5.66 | Combining equations (9018,938) yields a new equation:
% 21.51/5.66 | (414) e3 = e0
% 21.51/5.66 |
% 21.51/5.66 | Simplifying 414 yields:
% 21.51/5.66 | (415) e3 = e0
% 21.51/5.66 |
% 21.51/5.66 | Equations (415) can reduce 81 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (944) all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)
% 21.51/5.66 |
% 21.51/5.66 | Applying alpha-rule on (944) yields:
% 21.51/5.66 | (945) all_0_32_32 = e0
% 21.51/5.66 | (946) ~ (all_0_31_31 = e3)
% 21.51/5.66 | (896) ~ (all_0_46_46 = all_0_55_55)
% 21.51/5.66 |
% 21.51/5.66 | Combining equations (4235,945) yields a new equation:
% 21.51/5.66 | (414) e3 = e0
% 21.51/5.66 |
% 21.51/5.66 | Simplifying 414 yields:
% 21.51/5.66 | (415) e3 = e0
% 21.51/5.66 |
% 21.51/5.66 | Equations (415) can reduce 81 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (949) all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)
% 21.51/5.66 |
% 21.51/5.66 | Applying alpha-rule on (949) yields:
% 21.51/5.66 | (950) all_0_34_34 = e0
% 21.51/5.66 | (951) ~ (all_0_33_33 = e2)
% 21.51/5.66 | (915) ~ (all_0_50_50 = all_0_56_56)
% 21.51/5.66 |
% 21.51/5.66 | Combining equations (8676,950) yields a new equation:
% 21.51/5.66 | (316) e4 = e0
% 21.51/5.66 |
% 21.51/5.66 | Simplifying 316 yields:
% 21.51/5.66 | (317) e4 = e0
% 21.51/5.66 |
% 21.51/5.66 | Equations (317) can reduce 43 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (956) all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)
% 21.51/5.66 |
% 21.51/5.66 | Applying alpha-rule on (956) yields:
% 21.51/5.66 | (957) all_0_36_36 = e0
% 21.51/5.66 | (958) ~ (all_0_35_35 = e1)
% 21.51/5.66 | (726) ~ (all_0_57_57 = e1)
% 21.51/5.66 |
% 21.51/5.66 | Combining equations (9273,957) yields a new equation:
% 21.51/5.66 | (414) e3 = e0
% 21.51/5.66 |
% 21.51/5.66 | Simplifying 414 yields:
% 21.51/5.66 | (415) e3 = e0
% 21.51/5.66 |
% 21.51/5.66 | Equations (415) can reduce 81 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (963) all_0_42_42 = e2 & ~ (all_0_44_44 = e4)
% 21.51/5.66 |
% 21.51/5.66 | Applying alpha-rule on (963) yields:
% 21.51/5.66 | (737) all_0_42_42 = e2
% 21.51/5.66 | (407) ~ (all_0_44_44 = e4)
% 21.51/5.66 |
% 21.51/5.66 | Combining equations (979,737) yields a new equation:
% 21.51/5.66 | (928) e2 = e1
% 21.51/5.66 |
% 21.51/5.66 | Equations (928) can reduce 122 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (969) all_0_53_53 = e4 & ~ (all_0_51_51 = e2)
% 21.51/5.66 |
% 21.51/5.66 | Applying alpha-rule on (969) yields:
% 21.51/5.66 | (409) all_0_53_53 = e4
% 21.51/5.66 | (971) ~ (all_0_51_51 = e2)
% 21.51/5.66 |
% 21.51/5.66 | Combining equations (409,1254) yields a new equation:
% 21.51/5.66 | (553) e4 = e2
% 21.51/5.66 |
% 21.51/5.66 | Simplifying 553 yields:
% 21.51/5.66 | (504) e4 = e2
% 21.51/5.66 |
% 21.51/5.66 | Equations (504) can reduce 42 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (1696) ~ (all_0_55_55 = e1)
% 21.51/5.66 | (476) all_0_57_57 = e1
% 21.51/5.66 |
% 21.51/5.66 | Combining equations (476,469) yields a new equation:
% 21.51/5.66 | (484) e4 = e1
% 21.51/5.66 |
% 21.51/5.66 | Equations (484) can reduce 114 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (377) ~ (all_0_57_57 = e4)
% 21.51/5.66 | (472) all_0_57_57 = e3 | all_0_57_57 = e1
% 21.51/5.66 |
% 21.51/5.66 +-Applying beta-rule and splitting (1691), into two cases.
% 21.51/5.66 |-Branch one:
% 21.51/5.66 | (1020) all_0_55_55 = e1
% 21.51/5.66 |
% 21.51/5.66 | Equations (1020) can reduce 375 to:
% 21.51/5.66 | (479) ~ (e4 = e1)
% 21.51/5.66 |
% 21.51/5.66 | Simplifying 479 yields:
% 21.51/5.66 | (114) ~ (e4 = e1)
% 21.51/5.66 |
% 21.51/5.66 +-Applying beta-rule and splitting (106), into two cases.
% 21.51/5.66 |-Branch one:
% 21.51/5.66 | (717) all_0_54_54 = e4
% 21.51/5.66 |
% 21.51/5.66 | Combining equations (600,717) yields a new equation:
% 21.51/5.66 | (504) e4 = e2
% 21.51/5.66 |
% 21.51/5.66 | Equations (504) can reduce 42 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (643) ~ (all_0_54_54 = e4)
% 21.51/5.66 | (1869) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4
% 21.51/5.66 |
% 21.51/5.66 | Equations (600) can reduce 643 to:
% 21.51/5.66 | (271) ~ (e4 = e2)
% 21.51/5.66 |
% 21.51/5.66 | Simplifying 271 yields:
% 21.51/5.66 | (42) ~ (e4 = e2)
% 21.51/5.66 |
% 21.51/5.66 +-Applying beta-rule and splitting (468), into two cases.
% 21.51/5.66 |-Branch one:
% 21.51/5.66 | (481) all_0_45_45 = e4
% 21.51/5.66 |
% 21.51/5.66 | Combining equations (752,481) yields a new equation:
% 21.51/5.66 | (504) e4 = e2
% 21.51/5.66 |
% 21.51/5.66 | Equations (504) can reduce 42 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (489) ~ (all_0_45_45 = e4)
% 21.51/5.66 | (490) all_0_49_49 = e4 | all_0_57_57 = e4
% 21.51/5.66 |
% 21.51/5.66 +-Applying beta-rule and splitting (490), into two cases.
% 21.51/5.66 |-Branch one:
% 21.51/5.66 | (491) all_0_49_49 = e4
% 21.51/5.66 |
% 21.51/5.66 | Combining equations (491,487) yields a new equation:
% 21.51/5.66 | (858) e4 = e1
% 21.51/5.66 |
% 21.51/5.66 | Simplifying 858 yields:
% 21.51/5.66 | (484) e4 = e1
% 21.51/5.66 |
% 21.51/5.66 | Equations (484) can reduce 114 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (464) ~ (all_0_49_49 = e4)
% 21.51/5.66 | (469) all_0_57_57 = e4
% 21.51/5.66 |
% 21.51/5.66 | Equations (469) can reduce 377 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (1696) ~ (all_0_55_55 = e1)
% 21.51/5.66 | (476) all_0_57_57 = e1
% 21.51/5.66 |
% 21.51/5.66 | Equations (476) can reduce 726 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (785) ~ (all_0_42_42 = e1)
% 21.51/5.66 | (724) all_0_54_54 = e1
% 21.51/5.66 |
% 21.51/5.66 | Combining equations (600,724) yields a new equation:
% 21.51/5.66 | (1250) e2 = e1
% 21.51/5.66 |
% 21.51/5.66 | Simplifying 1250 yields:
% 21.51/5.66 | (928) e2 = e1
% 21.51/5.66 |
% 21.51/5.66 | Equations (928) can reduce 122 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (730) ~ (all_0_45_45 = e2)
% 21.51/5.66 | (2552) all_0_45_45 = e4 | all_0_45_45 = e3 | all_0_45_45 = e1
% 21.51/5.66 |
% 21.51/5.66 +-Applying beta-rule and splitting (178), into two cases.
% 21.51/5.66 |-Branch one:
% 21.51/5.66 | (450) all_0_55_55 = e2
% 21.51/5.66 |
% 21.51/5.66 | Equations (450) can reduce 1140 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (1140) ~ (all_0_55_55 = e2)
% 21.51/5.66 | (4354) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0
% 21.51/5.66 |
% 21.51/5.66 +-Applying beta-rule and splitting (4354), into two cases.
% 21.51/5.66 |-Branch one:
% 21.51/5.66 | (503) all_0_55_55 = e4
% 21.51/5.66 |
% 21.51/5.66 | Equations (503) can reduce 375 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (375) ~ (all_0_55_55 = e4)
% 21.51/5.66 | (4389) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0
% 21.51/5.66 |
% 21.51/5.66 +-Applying beta-rule and splitting (4389), into two cases.
% 21.51/5.66 |-Branch one:
% 21.51/5.66 | (520) all_0_55_55 = e0
% 21.51/5.66 |
% 21.51/5.66 | Equations (520) can reduce 372 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (372) ~ (all_0_55_55 = e0)
% 21.51/5.66 | (5747) all_0_55_55 = e3 | all_0_55_55 = e1
% 21.51/5.66 |
% 21.51/5.66 +-Applying beta-rule and splitting (5747), into two cases.
% 21.51/5.66 |-Branch one:
% 21.51/5.66 | (1031) all_0_55_55 = e3
% 21.51/5.66 |
% 21.51/5.66 | Equations (1031) can reduce 1935 to:
% 21.51/5.66 | (301) $false
% 21.51/5.66 |
% 21.51/5.66 |-The branch is then unsatisfiable
% 21.51/5.66 |-Branch two:
% 21.51/5.66 | (1935) ~ (all_0_55_55 = e3)
% 21.51/5.66 | (1020) all_0_55_55 = e1
% 21.51/5.66 |
% 21.51/5.66 | Equations (1020) can reduce 144 to:
% 21.51/5.66 | (1566) ~ (all_0_54_54 = e1)
% 21.51/5.66 |
% 21.51/5.66 +-Applying beta-rule and splitting (186), into two cases.
% 21.51/5.66 |-Branch one:
% 21.51/5.66 | (979) all_0_42_42 = e1
% 21.51/5.66 |
% 21.51/5.66 | Equations (979) can reduce 208 to:
% 21.51/5.66 | (3832) ~ (all_0_45_45 = e1)
% 21.51/5.66 |
% 21.51/5.66 | Simplifying 3832 yields:
% 21.51/5.67 | (477) ~ (all_0_45_45 = e1)
% 21.51/5.67 |
% 21.51/5.67 +-Applying beta-rule and splitting (2552), into two cases.
% 21.51/5.67 |-Branch one:
% 21.51/5.67 | (481) all_0_45_45 = e4
% 21.51/5.67 |
% 21.51/5.67 | Equations (481) can reduce 489 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (489) ~ (all_0_45_45 = e4)
% 21.51/5.67 | (2556) all_0_45_45 = e3 | all_0_45_45 = e1
% 21.51/5.67 |
% 21.51/5.67 +-Applying beta-rule and splitting (2556), into two cases.
% 21.51/5.67 |-Branch one:
% 21.51/5.67 | (2016) all_0_45_45 = e3
% 21.51/5.67 |
% 21.51/5.67 | Equations (2016) can reduce 770 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (770) ~ (all_0_45_45 = e3)
% 21.51/5.67 | (784) all_0_45_45 = e1
% 21.51/5.67 |
% 21.51/5.67 | Equations (784) can reduce 477 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (785) ~ (all_0_42_42 = e1)
% 21.51/5.67 | (724) all_0_54_54 = e1
% 21.51/5.67 |
% 21.51/5.67 | Equations (724) can reduce 1566 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (497) ~ (all_0_47_47 = e4)
% 21.51/5.67 | (3048) all_0_49_49 = e4 | all_0_50_50 = e4
% 21.51/5.67 |
% 21.51/5.67 +-Applying beta-rule and splitting (205), into two cases.
% 21.51/5.67 |-Branch one:
% 21.51/5.67 | (443) all_0_47_47 = e2
% 21.51/5.67 |
% 21.51/5.67 | Equations (443) can reduce 262 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (262) ~ (all_0_47_47 = e2)
% 21.51/5.67 | (3338) all_0_47_47 = e4 | all_0_47_47 = e1 | all_0_47_47 = e0
% 21.51/5.67 |
% 21.51/5.67 +-Applying beta-rule and splitting (3338), into two cases.
% 21.51/5.67 |-Branch one:
% 21.51/5.67 | (462) all_0_47_47 = e4
% 21.51/5.67 |
% 21.51/5.67 | Equations (462) can reduce 497 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (497) ~ (all_0_47_47 = e4)
% 21.51/5.67 | (3530) all_0_47_47 = e1 | all_0_47_47 = e0
% 21.51/5.67 |
% 21.51/5.67 +-Applying beta-rule and splitting (3530), into two cases.
% 21.51/5.67 |-Branch one:
% 21.51/5.67 | (321) all_0_47_47 = e0
% 21.51/5.67 |
% 21.51/5.67 | Equations (321) can reduce 328 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (328) ~ (all_0_47_47 = e0)
% 21.51/5.67 | (483) all_0_47_47 = e1
% 21.51/5.67 |
% 21.51/5.67 | Equations (483) can reduce 486 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (407) ~ (all_0_44_44 = e4)
% 21.51/5.67 | (408) all_0_53_53 = e4 | all_0_56_56 = e4
% 21.51/5.67 |
% 21.51/5.67 +-Applying beta-rule and splitting (1634), into two cases.
% 21.51/5.67 |-Branch one:
% 21.51/5.67 | (403) all_0_44_44 = e4
% 21.51/5.67 |
% 21.51/5.67 | Equations (403) can reduce 407 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (407) ~ (all_0_44_44 = e4)
% 21.51/5.67 | (1920) all_0_44_44 = e3 | all_0_44_44 = e0
% 21.51/5.67 |
% 21.51/5.67 +-Applying beta-rule and splitting (1920), into two cases.
% 21.51/5.67 |-Branch one:
% 21.51/5.67 | (383) all_0_44_44 = e0
% 21.51/5.67 |
% 21.51/5.67 | Equations (383) can reduce 525 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (525) ~ (all_0_44_44 = e0)
% 21.51/5.67 | (413) all_0_44_44 = e3
% 21.51/5.67 |
% 21.51/5.67 | Equations (413) can reduce 417 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (596) ~ (all_0_56_56 = e3)
% 21.51/5.67 | (1941) all_0_57_57 = e3 | all_0_58_58 = e3
% 21.51/5.67 |
% 21.51/5.67 +-Applying beta-rule and splitting (1941), into two cases.
% 21.51/5.67 |-Branch one:
% 21.51/5.67 | (473) all_0_57_57 = e3
% 21.51/5.67 |
% 21.51/5.67 | Equations (473) can reduce 425 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (425) ~ (all_0_57_57 = e3)
% 21.51/5.67 | (366) all_0_58_58 = e3
% 21.51/5.67 |
% 21.51/5.67 | Combining equations (366,308) yields a new equation:
% 21.51/5.67 | (414) e3 = e0
% 21.51/5.67 |
% 21.51/5.67 | Simplifying 414 yields:
% 21.51/5.67 | (415) e3 = e0
% 21.51/5.67 |
% 21.51/5.67 | Equations (415) can reduce 81 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (994) ~ (all_0_40_40 = e3)
% 21.51/5.67 | (564) all_0_41_41 = e3
% 21.51/5.67 |
% 21.51/5.67 | Combining equations (545,564) yields a new equation:
% 21.51/5.67 | (508) e4 = e3
% 21.51/5.67 |
% 21.51/5.67 | Simplifying 508 yields:
% 21.51/5.67 | (420) e4 = e3
% 21.51/5.67 |
% 21.51/5.67 | Equations (420) can reduce 199 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (347) ~ (all_0_39_39 = e2)
% 21.51/5.67 | (1218) all_0_39_39 = e4 | all_0_39_39 = e3 | all_0_39_39 = e0
% 21.51/5.67 |
% 21.51/5.67 +-Applying beta-rule and splitting (1218), into two cases.
% 21.51/5.67 |-Branch one:
% 21.51/5.67 | (428) all_0_39_39 = e4
% 21.51/5.67 |
% 21.51/5.67 | Equations (428) can reduce 296 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (296) ~ (all_0_39_39 = e4)
% 21.51/5.67 | (1222) all_0_39_39 = e3 | all_0_39_39 = e0
% 21.51/5.67 |
% 21.51/5.67 +-Applying beta-rule and splitting (1222), into two cases.
% 21.51/5.67 |-Branch one:
% 21.51/5.67 | (323) all_0_39_39 = e0
% 21.51/5.67 |
% 21.51/5.67 | Equations (323) can reduce 322 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (322) ~ (all_0_39_39 = e0)
% 21.51/5.67 | (694) all_0_39_39 = e3
% 21.51/5.67 |
% 21.51/5.67 | Equations (694) can reduce 698 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (268) ~ (all_0_53_53 = e2)
% 21.51/5.67 | (1307) all_0_53_53 = e4 | all_0_53_53 = e3
% 21.51/5.67 |
% 21.51/5.67 +-Applying beta-rule and splitting (1001), into two cases.
% 21.51/5.67 |-Branch one:
% 21.51/5.67 | (768) all_0_40_40 = e3
% 21.51/5.67 |
% 21.51/5.67 | Equations (768) can reduce 15 to:
% 21.51/5.67 | (424) ~ (all_0_57_57 = e3)
% 21.51/5.67 |
% 21.51/5.67 | Simplifying 424 yields:
% 21.51/5.67 | (425) ~ (all_0_57_57 = e3)
% 21.51/5.67 |
% 21.51/5.67 | Equations (768) can reduce 171 to:
% 21.51/5.67 | (81) ~ (e3 = e0)
% 21.51/5.67 |
% 21.51/5.67 +-Applying beta-rule and splitting (132), into two cases.
% 21.51/5.67 |-Branch one:
% 21.51/5.67 | (1031) all_0_55_55 = e3
% 21.51/5.67 |
% 21.51/5.67 | Equations (1031) can reduce 1935 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (1935) ~ (all_0_55_55 = e3)
% 21.51/5.67 | (1936) all_0_56_56 = e3 | all_0_57_57 = e3 | all_0_58_58 = e3
% 21.51/5.67 |
% 21.51/5.67 +-Applying beta-rule and splitting (1936), into two cases.
% 21.51/5.67 |-Branch one:
% 21.51/5.67 | (423) all_0_56_56 = e3
% 21.51/5.67 |
% 21.51/5.67 | Equations (423) can reduce 192 to:
% 21.51/5.67 | (422) ~ (all_0_53_53 = e3)
% 21.51/5.67 |
% 21.51/5.67 +-Applying beta-rule and splitting (1307), into two cases.
% 21.51/5.67 |-Branch one:
% 21.51/5.67 | (409) all_0_53_53 = e4
% 21.51/5.67 |
% 21.51/5.67 | Equations (409) can reduce 522 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (522) ~ (all_0_53_53 = e4)
% 21.51/5.67 | (419) all_0_53_53 = e3
% 21.51/5.67 |
% 21.51/5.67 | Equations (419) can reduce 422 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (596) ~ (all_0_56_56 = e3)
% 21.51/5.67 | (1941) all_0_57_57 = e3 | all_0_58_58 = e3
% 21.51/5.67 |
% 21.51/5.67 +-Applying beta-rule and splitting (1941), into two cases.
% 21.51/5.67 |-Branch one:
% 21.51/5.67 | (473) all_0_57_57 = e3
% 21.51/5.67 |
% 21.51/5.67 | Equations (473) can reduce 425 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (425) ~ (all_0_57_57 = e3)
% 21.51/5.67 | (366) all_0_58_58 = e3
% 21.51/5.67 |
% 21.51/5.67 | Combining equations (366,308) yields a new equation:
% 21.51/5.67 | (414) e3 = e0
% 21.51/5.67 |
% 21.51/5.67 | Simplifying 414 yields:
% 21.51/5.67 | (415) e3 = e0
% 21.51/5.67 |
% 21.51/5.67 | Equations (415) can reduce 81 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (994) ~ (all_0_40_40 = e3)
% 21.51/5.67 | (564) all_0_41_41 = e3
% 21.51/5.67 |
% 21.51/5.67 | Combining equations (545,564) yields a new equation:
% 21.51/5.67 | (508) e4 = e3
% 21.51/5.67 |
% 21.51/5.67 | Simplifying 508 yields:
% 21.51/5.67 | (420) e4 = e3
% 21.51/5.67 |
% 21.51/5.67 | Equations (420) can reduce 199 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (506) ~ (all_0_52_52 = e3)
% 21.51/5.67 | (419) all_0_53_53 = e3
% 21.51/5.67 |
% 21.51/5.67 | Equations (419) can reduce 109 to:
% 21.51/5.67 | (417) ~ (all_0_44_44 = e3)
% 21.51/5.67 |
% 21.51/5.67 | Equations (419) can reduce 192 to:
% 21.51/5.67 | (3917) ~ (all_0_56_56 = e3)
% 21.51/5.67 |
% 21.51/5.67 | Simplifying 3917 yields:
% 21.51/5.67 | (596) ~ (all_0_56_56 = e3)
% 21.51/5.67 |
% 21.51/5.67 | From (419) and (118) follows:
% 21.51/5.67 | (675) op(e3, e2) = all_0_28_28
% 21.51/5.67 |
% 21.51/5.67 | From (419) and (90) follows:
% 21.51/5.67 | (1672) op(e3, e1) = all_0_27_27
% 21.51/5.67 |
% 21.51/5.67 +-Applying beta-rule and splitting (92), into two cases.
% 21.51/5.67 |-Branch one:
% 21.51/5.67 | (276) all_0_51_51 = e2
% 21.51/5.67 |
% 21.51/5.67 | Combining equations (654,276) yields a new equation:
% 21.51/5.67 | (553) e4 = e2
% 21.51/5.67 |
% 21.51/5.67 | Simplifying 553 yields:
% 21.51/5.67 | (504) e4 = e2
% 21.51/5.67 |
% 21.51/5.67 | Equations (504) can reduce 42 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (971) ~ (all_0_51_51 = e2)
% 21.51/5.67 | (1191) all_0_52_52 = e2 | all_0_53_53 = e2
% 21.51/5.67 |
% 21.51/5.67 +-Applying beta-rule and splitting (168), into two cases.
% 21.51/5.67 |-Branch one:
% 21.51/5.67 | (447) all_0_52_52 = e2
% 21.51/5.67 |
% 21.51/5.67 | Equations (447) can reduce 129 to:
% 21.51/5.67 | (347) ~ (all_0_39_39 = e2)
% 21.51/5.67 |
% 21.51/5.67 | Equations (447) can reduce 101 to:
% 21.51/5.67 | (262) ~ (all_0_47_47 = e2)
% 21.51/5.67 |
% 21.51/5.67 | Equations (447) can reduce 235 to:
% 21.51/5.67 | (1270) ~ (all_0_55_55 = e2)
% 21.51/5.67 |
% 21.51/5.67 | Simplifying 1270 yields:
% 21.51/5.67 | (1140) ~ (all_0_55_55 = e2)
% 21.51/5.67 |
% 21.51/5.67 | Equations (447) can reduce 410 to:
% 21.51/5.67 | (271) ~ (e4 = e2)
% 21.51/5.67 |
% 21.51/5.67 | Simplifying 271 yields:
% 21.51/5.67 | (42) ~ (e4 = e2)
% 21.51/5.67 |
% 21.51/5.67 | From (447) and (218) follows:
% 21.51/5.67 | (9589) op(e2, e3) = all_0_26_26
% 21.51/5.67 |
% 21.51/5.67 | From (447) and (107) follows:
% 21.51/5.67 | (2507) op(e1, e3) = e2
% 21.51/5.67 |
% 21.51/5.67 +-Applying beta-rule and splitting (53), into two cases.
% 21.51/5.67 |-Branch one:
% 21.51/5.67 | (344) all_0_39_39 = e2
% 21.51/5.67 |
% 21.51/5.67 | Equations (344) can reduce 347 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (347) ~ (all_0_39_39 = e2)
% 21.51/5.67 | (1211) all_0_40_40 = e2 | all_0_41_41 = e2
% 21.51/5.67 |
% 21.51/5.67 +-Applying beta-rule and splitting (244), into two cases.
% 21.51/5.67 |-Branch one:
% 21.51/5.67 | (344) all_0_39_39 = e2
% 21.51/5.67 |
% 21.51/5.67 | Equations (344) can reduce 347 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (347) ~ (all_0_39_39 = e2)
% 21.51/5.67 | (1218) all_0_39_39 = e4 | all_0_39_39 = e3 | all_0_39_39 = e0
% 21.51/5.67 |
% 21.51/5.67 +-Applying beta-rule and splitting (1211), into two cases.
% 21.51/5.67 |-Branch one:
% 21.51/5.67 | (1380) all_0_40_40 = e2
% 21.51/5.67 |
% 21.51/5.67 | Equations (1380) can reduce 108 to:
% 21.51/5.67 | (2443) ~ (all_0_45_45 = e2)
% 21.51/5.67 |
% 21.51/5.67 | Simplifying 2443 yields:
% 21.51/5.67 | (730) ~ (all_0_45_45 = e2)
% 21.51/5.67 |
% 21.51/5.67 | Equations (1380) can reduce 195 to:
% 21.51/5.67 | (263) ~ (all_0_49_49 = e2)
% 21.51/5.67 |
% 21.51/5.67 | Simplifying 263 yields:
% 21.51/5.67 | (264) ~ (all_0_49_49 = e2)
% 21.51/5.67 |
% 21.51/5.67 | Equations (1380) can reduce 298 to:
% 21.51/5.67 | (271) ~ (e4 = e2)
% 21.51/5.67 |
% 21.51/5.67 | Simplifying 271 yields:
% 21.51/5.67 | (42) ~ (e4 = e2)
% 21.51/5.67 |
% 21.51/5.67 | From (1380) and (54) follows:
% 21.51/5.67 | (2598) op(e2, e4) = all_0_3_3
% 21.51/5.67 |
% 21.51/5.67 | From (1380) and (252) follows:
% 21.51/5.67 | (2599) op(e2, e1) = all_0_4_4
% 21.51/5.67 |
% 21.51/5.67 | From (1380) and (117) follows:
% 21.51/5.67 | (2906) op(e4, e1) = e2
% 21.51/5.67 |
% 21.51/5.67 +-Applying beta-rule and splitting (1218), into two cases.
% 21.51/5.67 |-Branch one:
% 21.51/5.67 | (428) all_0_39_39 = e4
% 21.51/5.67 |
% 21.51/5.67 | Equations (428) can reduce 296 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (296) ~ (all_0_39_39 = e4)
% 21.51/5.67 | (1222) all_0_39_39 = e3 | all_0_39_39 = e0
% 21.51/5.67 |
% 21.51/5.67 +-Applying beta-rule and splitting (1222), into two cases.
% 21.51/5.67 |-Branch one:
% 21.51/5.67 | (323) all_0_39_39 = e0
% 21.51/5.67 |
% 21.51/5.67 | Equations (323) can reduce 322 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (322) ~ (all_0_39_39 = e0)
% 21.51/5.67 | (694) all_0_39_39 = e3
% 21.51/5.67 |
% 21.51/5.67 | Equations (694) can reduce 250 to:
% 21.51/5.67 | (3910) ~ (all_0_55_55 = e3)
% 21.51/5.67 |
% 21.51/5.67 | Simplifying 3910 yields:
% 21.51/5.67 | (1935) ~ (all_0_55_55 = e3)
% 21.51/5.67 |
% 21.51/5.67 | Equations (694) can reduce 322 to:
% 21.51/5.67 | (81) ~ (e3 = e0)
% 21.51/5.67 |
% 21.51/5.67 | From (694) and (112) follows:
% 21.51/5.67 | (5478) op(e3, e3) = all_0_2_2
% 21.51/5.67 |
% 21.51/5.67 | From (694) and (154) follows:
% 21.51/5.67 | (9621) op(e4, e3) = e3
% 21.51/5.67 |
% 21.51/5.67 +-Applying beta-rule and splitting (132), into two cases.
% 21.51/5.67 |-Branch one:
% 21.51/5.67 | (1031) all_0_55_55 = e3
% 21.51/5.67 |
% 21.51/5.67 | Equations (1031) can reduce 1935 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.67 | (1935) ~ (all_0_55_55 = e3)
% 21.51/5.67 | (1936) all_0_56_56 = e3 | all_0_57_57 = e3 | all_0_58_58 = e3
% 21.51/5.67 |
% 21.51/5.67 +-Applying beta-rule and splitting (1936), into two cases.
% 21.51/5.67 |-Branch one:
% 21.51/5.67 | (423) all_0_56_56 = e3
% 21.51/5.67 |
% 21.51/5.67 | Equations (423) can reduce 596 to:
% 21.51/5.67 | (301) $false
% 21.51/5.67 |
% 21.51/5.67 |-The branch is then unsatisfiable
% 21.51/5.67 |-Branch two:
% 21.51/5.68 | (596) ~ (all_0_56_56 = e3)
% 21.51/5.68 | (1941) all_0_57_57 = e3 | all_0_58_58 = e3
% 21.51/5.68 |
% 21.51/5.68 +-Applying beta-rule and splitting (1941), into two cases.
% 21.51/5.68 |-Branch one:
% 21.51/5.68 | (473) all_0_57_57 = e3
% 21.51/5.68 |
% 21.51/5.68 | Equations (473) can reduce 75 to:
% 21.51/5.68 | (770) ~ (all_0_45_45 = e3)
% 21.51/5.68 |
% 21.51/5.68 | Equations (473) can reduce 94 to:
% 21.51/5.68 | (191) ~ (all_0_49_49 = e3)
% 21.51/5.68 |
% 21.51/5.68 | Equations (473) can reduce 223 to:
% 21.51/5.68 | (206) ~ (all_0_54_54 = e3)
% 21.51/5.68 |
% 21.51/5.68 | Equations (473) can reduce 243 to:
% 21.51/5.68 | (596) ~ (all_0_56_56 = e3)
% 21.51/5.68 |
% 21.51/5.68 | Equations (473) can reduce 189 to:
% 21.51/5.68 | (81) ~ (e3 = e0)
% 21.51/5.68 |
% 21.51/5.68 | From (473) and (73) follows:
% 21.51/5.68 | (2161) op(e3, e1) = all_0_36_36
% 21.51/5.68 |
% 21.51/5.68 | From (473) and (172) follows:
% 21.51/5.68 | (2632) op(e0, e1) = e3
% 21.51/5.68 |
% 21.51/5.68 | Instantiating formula (151) with e3, e3, all_0_2_2, e0 and discharging atoms op(e3, e3) = all_0_2_2, op(e3, e3) = e0, yields:
% 21.51/5.68 | (5564) all_0_2_2 = e0
% 21.51/5.68 |
% 21.51/5.68 | Instantiating formula (151) with e3, e2, all_0_28_28, all_0_44_44 and discharging atoms op(e3, e2) = all_0_28_28, op(e3, e2) = all_0_44_44, yields:
% 21.51/5.68 | (5464) all_0_28_28 = all_0_44_44
% 21.51/5.68 |
% 21.51/5.68 | Instantiating formula (151) with e3, e1, all_0_27_27, all_0_45_45 and discharging atoms op(e3, e1) = all_0_27_27, op(e3, e1) = all_0_45_45, yields:
% 21.51/5.68 | (5465) all_0_27_27 = all_0_45_45
% 21.51/5.68 |
% 21.51/5.68 | Instantiating formula (151) with e3, e1, all_0_36_36, all_0_27_27 and discharging atoms op(e3, e1) = all_0_27_27, op(e3, e1) = all_0_36_36, yields:
% 21.51/5.68 | (2636) all_0_27_27 = all_0_36_36
% 21.51/5.68 |
% 21.51/5.68 | Instantiating formula (151) with e2, e4, all_0_3_3, e3 and discharging atoms op(e2, e4) = all_0_3_3, op(e2, e4) = e3, yields:
% 21.51/5.68 | (2638) all_0_3_3 = e3
% 21.51/5.68 |
% 21.51/5.68 | Instantiating formula (151) with e2, e3, all_0_26_26, all_0_47_47 and discharging atoms op(e2, e3) = all_0_26_26, op(e2, e3) = all_0_47_47, yields:
% 21.51/5.68 | (9643) all_0_26_26 = all_0_47_47
% 21.51/5.68 |
% 21.51/5.68 | Instantiating formula (151) with e2, e1, all_0_4_4, all_0_49_49 and discharging atoms op(e2, e1) = all_0_4_4, op(e2, e1) = all_0_49_49, yields:
% 21.51/5.68 | (2999) all_0_4_4 = all_0_49_49
% 21.51/5.68 |
% 21.51/5.68 | Combining equations (2636,5465) yields a new equation:
% 21.51/5.68 | (9645) all_0_36_36 = all_0_45_45
% 21.51/5.68 |
% 21.51/5.68 | Simplifying 9645 yields:
% 21.51/5.68 | (7883) all_0_36_36 = all_0_45_45
% 21.51/5.68 |
% 21.51/5.68 | From (5464) and (675) follows:
% 21.51/5.68 | (165) op(e3, e2) = all_0_44_44
% 21.51/5.68 |
% 21.51/5.68 | From (7883) and (2161) follows:
% 21.51/5.68 | (196) op(e3, e1) = all_0_45_45
% 21.51/5.68 |
% 21.51/5.68 | From (2638) and (2598) follows:
% 21.51/5.68 | (215) op(e2, e4) = e3
% 21.51/5.68 |
% 21.51/5.68 +-Applying beta-rule and splitting (209), into two cases.
% 21.51/5.68 |-Branch one:
% 21.51/5.68 | (483) all_0_47_47 = e1
% 21.51/5.68 |
% 21.51/5.68 | Equations (483) can reduce 93 to:
% 21.51/5.68 | (713) ~ (all_0_49_49 = e1)
% 21.51/5.68 |
% 21.51/5.68 | Simplifying 713 yields:
% 21.51/5.68 | (478) ~ (all_0_49_49 = e1)
% 21.51/5.68 |
% 21.51/5.68 | Equations (483) can reduce 262 to:
% 21.51/5.68 | (788) ~ (e2 = e1)
% 21.51/5.68 |
% 21.51/5.68 | Simplifying 788 yields:
% 21.51/5.68 | (122) ~ (e2 = e1)
% 21.51/5.68 |
% 21.51/5.68 | From (483) and (142) follows:
% 21.51/5.68 | (715) op(e1, e3) = all_0_17_17
% 21.51/5.68 |
% 21.51/5.68 +-Applying beta-rule and splitting (176), into two cases.
% 21.51/5.68 |-Branch one:
% 21.51/5.68 | (462) all_0_47_47 = e4
% 21.51/5.68 |
% 21.51/5.68 | Combining equations (483,462) yields a new equation:
% 21.51/5.68 | (484) e4 = e1
% 21.51/5.68 |
% 21.51/5.68 | Equations (484) can reduce 114 to:
% 21.51/5.68 | (301) $false
% 21.51/5.68 |
% 21.51/5.68 |-The branch is then unsatisfiable
% 21.51/5.68 |-Branch two:
% 21.51/5.68 | (497) ~ (all_0_47_47 = e4)
% 21.51/5.68 | (3048) all_0_49_49 = e4 | all_0_50_50 = e4
% 21.51/5.68 |
% 21.51/5.68 +-Applying beta-rule and splitting (219), into two cases.
% 21.51/5.68 |-Branch one:
% 21.51/5.68 | (764) all_0_49_49 = e2
% 21.51/5.68 |
% 21.51/5.68 | Equations (764) can reduce 264 to:
% 21.51/5.68 | (301) $false
% 21.51/5.68 |
% 21.51/5.68 |-The branch is then unsatisfiable
% 21.51/5.68 |-Branch two:
% 21.51/5.68 | (264) ~ (all_0_49_49 = e2)
% 21.51/5.68 | (767) all_0_49_49 = e4 | all_0_49_49 = e1
% 21.51/5.68 |
% 21.51/5.68 +-Applying beta-rule and splitting (178), into two cases.
% 21.51/5.68 |-Branch one:
% 21.51/5.68 | (450) all_0_55_55 = e2
% 21.51/5.68 |
% 21.51/5.68 | Equations (450) can reduce 1140 to:
% 21.51/5.68 | (301) $false
% 21.51/5.68 |
% 21.51/5.68 |-The branch is then unsatisfiable
% 21.51/5.68 |-Branch two:
% 21.51/5.68 | (1140) ~ (all_0_55_55 = e2)
% 21.51/5.68 | (4354) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0
% 21.51/5.68 |
% 21.51/5.68 +-Applying beta-rule and splitting (9), into two cases.
% 21.51/5.68 |-Branch one:
% 21.51/5.68 | (724) all_0_54_54 = e1
% 21.51/5.68 |
% 21.51/5.68 | Equations (724) can reduce 206 to:
% 21.51/5.68 | (786) ~ (e3 = e1)
% 21.51/5.68 |
% 21.51/5.68 | Simplifying 786 yields:
% 21.51/5.68 | (234) ~ (e3 = e1)
% 21.51/5.68 |
% 21.51/5.68 | From (724) and (52) follows:
% 21.51/5.68 | (727) op(e1, e4) = all_0_30_30
% 21.51/5.68 |
% 21.51/5.68 | From (724) and (258) follows:
% 21.51/5.68 | (2176) op(e0, e4) = e1
% 21.51/5.68 |
% 21.51/5.68 +-Applying beta-rule and splitting (145), into two cases.
% 21.51/5.68 |-Branch one:
% 21.51/5.68 | (737) all_0_42_42 = e2
% 21.51/5.68 |
% 21.51/5.68 | Equations (737) can reduce 84 to:
% 21.51/5.68 | (9675) ~ (all_0_44_44 = e2)
% 21.51/5.68 |
% 21.51/5.68 | Simplifying 9675 yields:
% 21.51/5.68 | (261) ~ (all_0_44_44 = e2)
% 21.51/5.68 |
% 21.51/5.68 | Equations (737) can reduce 68 to:
% 21.51/5.68 | (284) ~ (e3 = e2)
% 21.51/5.68 |
% 21.51/5.68 | Simplifying 284 yields:
% 21.51/5.68 | (231) ~ (e3 = e2)
% 21.51/5.68 |
% 21.51/5.68 | Equations (737) can reduce 680 to:
% 21.51/5.68 | (133) ~ (e2 = e0)
% 21.51/5.68 |
% 21.51/5.68 +-Applying beta-rule and splitting (121), into two cases.
% 21.51/5.68 |-Branch one:
% 21.51/5.68 | (747) all_0_44_44 = e2
% 21.51/5.68 |
% 21.51/5.68 | Equations (747) can reduce 261 to:
% 21.51/5.68 | (301) $false
% 21.51/5.68 |
% 21.51/5.68 |-The branch is then unsatisfiable
% 21.51/5.68 |-Branch two:
% 21.51/5.68 | (261) ~ (all_0_44_44 = e2)
% 21.51/5.68 | (3570) all_0_48_48 = e2 | all_0_53_53 = e2 | all_0_56_56 = e2
% 21.51/5.68 |
% 21.51/5.68 +-Applying beta-rule and splitting (239), into two cases.
% 21.51/5.68 |-Branch one:
% 21.51/5.68 | (747) all_0_44_44 = e2
% 21.51/5.68 |
% 21.51/5.68 | Equations (747) can reduce 261 to:
% 21.51/5.68 | (301) $false
% 21.51/5.68 |
% 21.51/5.68 |-The branch is then unsatisfiable
% 21.51/5.68 |-Branch two:
% 21.51/5.68 | (261) ~ (all_0_44_44 = e2)
% 21.51/5.68 | (1634) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e0
% 21.51/5.68 |
% 21.51/5.68 +-Applying beta-rule and splitting (1634), into two cases.
% 21.51/5.68 |-Branch one:
% 21.51/5.68 | (403) all_0_44_44 = e4
% 21.51/5.68 |
% 21.51/5.68 | Equations (403) can reduce 124 to:
% 21.51/5.68 | (411) ~ (all_0_56_56 = e4)
% 21.51/5.68 |
% 21.51/5.68 | Simplifying 411 yields:
% 21.51/5.68 | (376) ~ (all_0_56_56 = e4)
% 21.51/5.68 |
% 21.51/5.68 | From (403) and (165) follows:
% 21.51/5.68 | (1684) op(e3, e2) = e4
% 21.51/5.68 |
% 21.51/5.68 +-Applying beta-rule and splitting (179), into two cases.
% 21.51/5.68 |-Branch one:
% 21.51/5.68 | (637) all_0_56_56 = e2
% 21.51/5.68 |
% 21.51/5.68 | Equations (637) can reduce 376 to:
% 21.51/5.68 | (271) ~ (e4 = e2)
% 21.51/5.68 |
% 21.51/5.68 | Simplifying 271 yields:
% 21.51/5.68 | (42) ~ (e4 = e2)
% 21.51/5.68 |
% 21.51/5.68 | Equations (637) can reduce 374 to:
% 21.51/5.68 | (133) ~ (e2 = e0)
% 21.51/5.68 |
% 21.51/5.68 | From (637) and (182) follows:
% 21.51/5.68 | (4276) op(e0, e2) = e2
% 21.51/5.68 |
% 21.51/5.68 +-Applying beta-rule and splitting (233), into two cases.
% 21.51/5.68 |-Branch one:
% 21.51/5.68 | (465) all_0_40_40 = e4
% 21.51/5.68 |
% 21.51/5.68 | Combining equations (1380,465) yields a new equation:
% 21.51/5.68 | (504) e4 = e2
% 21.51/5.68 |
% 21.51/5.68 | Equations (504) can reduce 42 to:
% 21.51/5.68 | (301) $false
% 21.51/5.68 |
% 21.51/5.68 |-The branch is then unsatisfiable
% 21.51/5.68 |-Branch two:
% 21.51/5.68 | (298) ~ (all_0_40_40 = e4)
% 21.51/5.68 | (468) all_0_45_45 = e4 | all_0_49_49 = e4 | all_0_57_57 = e4
% 21.51/5.68 |
% 21.51/5.68 | Equations (1380) can reduce 298 to:
% 21.51/5.68 | (271) ~ (e4 = e2)
% 21.51/5.68 |
% 21.51/5.68 | Simplifying 271 yields:
% 21.51/5.68 | (42) ~ (e4 = e2)
% 21.51/5.68 |
% 21.51/5.68 +-Applying beta-rule and splitting (211), into two cases.
% 21.51/5.68 |-Branch one:
% 21.51/5.68 | (784) all_0_45_45 = e1
% 21.51/5.68 |
% 21.51/5.68 | Equations (784) can reduce 23 to:
% 21.51/5.68 | (713) ~ (all_0_49_49 = e1)
% 21.51/5.68 |
% 21.51/5.68 | Simplifying 713 yields:
% 21.51/5.68 | (478) ~ (all_0_49_49 = e1)
% 21.51/5.68 |
% 21.51/5.68 | Equations (784) can reduce 770 to:
% 21.51/5.68 | (786) ~ (e3 = e1)
% 21.51/5.68 |
% 21.51/5.68 | Simplifying 786 yields:
% 21.51/5.68 | (234) ~ (e3 = e1)
% 21.51/5.68 |
% 21.51/5.68 | Equations (784) can reduce 163 to:
% 21.51/5.68 | (247) ~ (e1 = e0)
% 21.51/5.68 |
% 21.51/5.68 | From (784) and (50) follows:
% 21.51/5.68 | (791) op(e1, e3) = all_0_12_12
% 21.51/5.68 |
% 21.51/5.68 | From (784) and (196) follows:
% 21.51/5.68 | (793) op(e3, e1) = e1
% 21.51/5.68 |
% 21.51/5.68 +-Applying beta-rule and splitting (3048), into two cases.
% 21.51/5.68 |-Branch one:
% 21.51/5.68 | (491) all_0_49_49 = e4
% 21.51/5.68 |
% 21.51/5.68 | Equations (491) can reduce 191 to:
% 21.51/5.68 | (199) ~ (e4 = e3)
% 21.51/5.68 |
% 21.51/5.68 | Equations (491) can reduce 264 to:
% 21.51/5.68 | (42) ~ (e4 = e2)
% 21.51/5.68 |
% 21.51/5.68 | Equations (491) can reduce 478 to:
% 21.51/5.68 | (114) ~ (e4 = e1)
% 21.51/5.68 |
% 21.51/5.68 | Equations (491) can reduce 241 to:
% 21.51/5.68 | (43) ~ (e4 = e0)
% 21.51/5.68 |
% 21.51/5.68 +-Applying beta-rule and splitting (106), into two cases.
% 21.51/5.68 |-Branch one:
% 21.51/5.68 | (717) all_0_54_54 = e4
% 21.51/5.68 |
% 21.51/5.68 | Combining equations (724,717) yields a new equation:
% 21.51/5.68 | (484) e4 = e1
% 21.51/5.68 |
% 21.51/5.68 | Equations (484) can reduce 114 to:
% 21.51/5.68 | (301) $false
% 21.51/5.68 |
% 21.51/5.68 |-The branch is then unsatisfiable
% 21.51/5.68 |-Branch two:
% 21.51/5.68 | (643) ~ (all_0_54_54 = e4)
% 21.51/5.68 | (1869) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4
% 21.51/5.68 |
% 21.51/5.68 +-Applying beta-rule and splitting (4354), into two cases.
% 21.51/5.68 |-Branch one:
% 21.51/5.68 | (503) all_0_55_55 = e4
% 21.51/5.68 |
% 21.51/5.68 | From (503) and (188) follows:
% 21.51/5.68 | (2591) op(e4, e0) = all_0_31_31
% 21.51/5.68 |
% 21.51/5.68 | From (503) and (41) follows:
% 21.51/5.68 | (2592) op(e0, e3) = e4
% 21.51/5.68 |
% 21.51/5.68 | Instantiating formula (151) with e4, e0, all_0_31_31, e4 and discharging atoms op(e4, e0) = all_0_31_31, op(e4, e0) = e4, yields:
% 21.51/5.68 | (2650) all_0_31_31 = e4
% 21.51/5.68 |
% 21.51/5.68 | Instantiating formula (151) with e1, e4, all_0_30_30, e4 and discharging atoms op(e1, e4) = all_0_30_30, op(e1, e4) = e4, yields:
% 21.51/5.68 | (2642) all_0_30_30 = e4
% 21.51/5.68 |
% 21.51/5.68 | Instantiating formula (151) with e1, e3, all_0_12_12, e2 and discharging atoms op(e1, e3) = all_0_12_12, op(e1, e3) = e2, yields:
% 21.51/5.68 | (2644) all_0_12_12 = e2
% 21.51/5.68 |
% 21.51/5.68 | Instantiating formula (151) with e1, e3, all_0_17_17, all_0_12_12 and discharging atoms op(e1, e3) = all_0_12_12, op(e1, e3) = all_0_17_17, yields:
% 21.51/5.68 | (817) all_0_12_12 = all_0_17_17
% 21.51/5.68 |
% 21.51/5.68 | Combining equations (817,2644) yields a new equation:
% 21.51/5.68 | (2651) all_0_17_17 = e2
% 21.51/5.68 |
% 21.51/5.68 | Simplifying 2651 yields:
% 21.51/5.68 | (901) all_0_17_17 = e2
% 21.51/5.68 |
% 21.51/5.68 | From (2650) and (2591) follows:
% 21.51/5.68 | (2485) op(e4, e0) = e4
% 21.51/5.68 |
% 21.51/5.68 | From (2642) and (727) follows:
% 21.51/5.68 | (2441) op(e1, e4) = e4
% 21.51/5.68 |
% 21.51/5.68 | From (901) and (715) follows:
% 21.51/5.68 | (2507) op(e1, e3) = e2
% 21.51/5.68 |
% 21.51/5.68 +-Applying beta-rule and splitting (51), into two cases.
% 21.51/5.68 |-Branch one:
% 21.51/5.68 | (2662) unit = e2
% 21.51/5.68 |
% 21.51/5.68 | From (2662) and (125) follows:
% 21.51/5.68 | (4250) op(e0, e2) = e0
% 21.51/5.68 |
% 21.51/5.68 | Instantiating formula (151) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields:
% 21.51/5.68 | (345) e2 = e0
% 21.51/5.68 |
% 21.51/5.68 | Equations (345) can reduce 133 to:
% 21.51/5.68 | (301) $false
% 21.51/5.68 |
% 21.51/5.68 |-The branch is then unsatisfiable
% 21.51/5.68 |-Branch two:
% 21.51/5.69 | (2669) ~ (unit = e2)
% 21.51/5.69 | (2670) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 21.51/5.69 |
% 21.51/5.69 +-Applying beta-rule and splitting (2670), into two cases.
% 21.51/5.69 |-Branch one:
% 21.51/5.69 | (2671) unit = e4
% 21.51/5.69 |
% 21.51/5.69 | From (2671) and (200) follows:
% 21.51/5.69 | (2672) op(e4, e0) = e0
% 21.51/5.69 |
% 21.51/5.69 | From (2671) and (229) follows:
% 21.51/5.69 | (2673) op(e1, e4) = e1
% 21.51/5.69 |
% 21.51/5.69 | Instantiating formula (151) with e4, e0, e0, e4 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields:
% 21.51/5.69 | (317) e4 = e0
% 21.51/5.69 |
% 21.51/5.69 | Instantiating formula (151) with e1, e4, e1, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields:
% 21.51/5.69 | (484) e4 = e1
% 21.51/5.69 |
% 21.51/5.69 | Combining equations (484,317) yields a new equation:
% 21.51/5.69 | (934) e1 = e0
% 21.51/5.69 |
% 21.51/5.69 | Simplifying 934 yields:
% 21.51/5.69 | (935) e1 = e0
% 21.51/5.69 |
% 21.51/5.69 | Equations (935) can reduce 247 to:
% 21.51/5.69 | (301) $false
% 21.51/5.69 |
% 21.51/5.69 |-The branch is then unsatisfiable
% 21.51/5.69 |-Branch two:
% 21.51/5.69 | (2679) ~ (unit = e4)
% 21.51/5.69 | (2680) unit = e3 | unit = e1 | unit = e0
% 21.51/5.69 |
% 21.51/5.69 +-Applying beta-rule and splitting (2680), into two cases.
% 21.51/5.69 |-Branch one:
% 21.51/5.69 | (2681) unit = e0
% 21.51/5.69 |
% 21.51/5.69 | From (2681) and (150) follows:
% 21.51/5.69 | (9751) op(e0, e4) = e4
% 21.51/5.69 |
% 21.51/5.69 | From (2681) and (237) follows:
% 21.51/5.69 | (4275) op(e0, e3) = e3
% 21.51/5.69 |
% 21.51/5.69 | Instantiating formula (151) with e0, e4, e4, e1 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e1, yields:
% 21.51/5.69 | (484) e4 = e1
% 21.51/5.69 |
% 21.51/5.69 | Instantiating formula (151) with e0, e3, e3, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e3, yields:
% 21.51/5.69 | (420) e4 = e3
% 21.51/5.69 |
% 21.51/5.69 | Combining equations (484,420) yields a new equation:
% 21.51/5.69 | (708) e3 = e1
% 21.51/5.69 |
% 21.51/5.69 | Equations (708) can reduce 234 to:
% 21.51/5.69 | (301) $false
% 21.51/5.69 |
% 21.51/5.69 |-The branch is then unsatisfiable
% 21.51/5.69 |-Branch two:
% 21.51/5.69 | (2687) ~ (unit = e0)
% 21.51/5.69 | (2688) unit = e3 | unit = e1
% 21.51/5.69 |
% 21.51/5.69 +-Applying beta-rule and splitting (2688), into two cases.
% 21.51/5.69 |-Branch one:
% 21.51/5.69 | (2689) unit = e3
% 21.51/5.69 |
% 21.51/5.69 | From (2689) and (63) follows:
% 21.51/5.69 | (2690) op(e3, e2) = e2
% 21.51/5.69 |
% 21.51/5.69 | From (2689) and (229) follows:
% 21.51/5.69 | (2691) op(e1, e3) = e1
% 21.51/5.69 |
% 21.51/5.69 | From (2689) and (125) follows:
% 21.51/5.69 | (2692) op(e0, e3) = e0
% 21.51/5.69 |
% 21.51/5.69 | Instantiating formula (151) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields:
% 21.51/5.69 | (504) e4 = e2
% 21.51/5.69 |
% 21.51/5.69 | Instantiating formula (151) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields:
% 21.51/5.69 | (928) e2 = e1
% 21.51/5.69 |
% 21.51/5.69 | Instantiating formula (151) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields:
% 21.51/5.69 | (317) e4 = e0
% 21.51/5.69 |
% 21.51/5.69 | Combining equations (504,317) yields a new equation:
% 21.51/5.69 | (352) e2 = e0
% 21.51/5.69 |
% 21.51/5.69 | Simplifying 352 yields:
% 21.51/5.69 | (345) e2 = e0
% 21.51/5.69 |
% 21.51/5.69 | Combining equations (928,345) yields a new equation:
% 21.51/5.69 | (934) e1 = e0
% 21.51/5.69 |
% 21.51/5.69 | Simplifying 934 yields:
% 21.51/5.69 | (935) e1 = e0
% 21.51/5.69 |
% 21.51/5.69 | Equations (935) can reduce 247 to:
% 21.51/5.69 | (301) $false
% 21.51/5.69 |
% 21.51/5.69 |-The branch is then unsatisfiable
% 21.51/5.69 |-Branch two:
% 21.51/5.69 | (2701) ~ (unit = e3)
% 21.51/5.69 | (2702) unit = e1
% 21.51/5.69 |
% 21.51/5.69 | Equations (2702) can reduce 2687 to:
% 21.51/5.69 | (247) ~ (e1 = e0)
% 21.51/5.69 |
% 21.51/5.69 | From (2702) and (135) follows:
% 21.51/5.69 | (2704) op(e3, e1) = e3
% 21.51/5.69 |
% 21.51/5.69 | From (2702) and (125) follows:
% 21.51/5.69 | (2705) op(e0, e1) = e0
% 21.51/5.69 |
% 21.51/5.69 | Instantiating formula (151) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields:
% 21.51/5.69 | (708) e3 = e1
% 21.51/5.69 |
% 21.51/5.69 | Instantiating formula (151) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields:
% 21.51/5.69 | (415) e3 = e0
% 21.51/5.69 |
% 21.51/5.69 | Combining equations (708,415) yields a new equation:
% 21.51/5.69 | (934) e1 = e0
% 21.51/5.69 |
% 21.51/5.69 | Simplifying 934 yields:
% 21.51/5.69 | (935) e1 = e0
% 21.51/5.69 |
% 21.51/5.69 | Equations (935) can reduce 247 to:
% 21.51/5.69 | (301) $false
% 21.51/5.69 |
% 21.51/5.69 |-The branch is then unsatisfiable
% 21.51/5.69 |-Branch two:
% 21.51/5.69 | (375) ~ (all_0_55_55 = e4)
% 21.51/5.69 | (4389) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0
% 21.51/5.69 |
% 21.51/5.69 +-Applying beta-rule and splitting (1869), into two cases.
% 21.51/5.69 |-Branch one:
% 21.51/5.69 | (503) all_0_55_55 = e4
% 21.51/5.69 |
% 21.51/5.69 | Equations (503) can reduce 375 to:
% 21.51/5.69 | (301) $false
% 21.51/5.69 |
% 21.51/5.69 |-The branch is then unsatisfiable
% 21.51/5.69 |-Branch two:
% 21.51/5.69 | (375) ~ (all_0_55_55 = e4)
% 21.51/5.69 | (1874) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4
% 21.51/5.69 |
% 21.51/5.69 +-Applying beta-rule and splitting (1874), into two cases.
% 21.51/5.69 |-Branch one:
% 21.51/5.69 | (523) all_0_56_56 = e4
% 21.51/5.69 |
% 21.51/5.69 | Combining equations (637,523) yields a new equation:
% 21.51/5.69 | (504) e4 = e2
% 21.51/5.69 |
% 21.51/5.69 | Equations (504) can reduce 42 to:
% 21.51/5.69 | (301) $false
% 21.51/5.69 |
% 21.51/5.69 |-The branch is then unsatisfiable
% 21.51/5.69 |-Branch two:
% 21.51/5.69 | (376) ~ (all_0_56_56 = e4)
% 21.51/5.69 | (1880) all_0_57_57 = e4 | all_0_58_58 = e4
% 21.51/5.69 |
% 21.51/5.69 +-Applying beta-rule and splitting (1880), into two cases.
% 21.51/5.69 |-Branch one:
% 21.51/5.69 | (469) all_0_57_57 = e4
% 21.51/5.69 |
% 21.51/5.69 | Combining equations (473,469) yields a new equation:
% 21.51/5.69 | (420) e4 = e3
% 21.51/5.69 |
% 21.51/5.69 | Equations (420) can reduce 199 to:
% 21.51/5.69 | (301) $false
% 21.51/5.69 |
% 21.51/5.69 |-The branch is then unsatisfiable
% 21.51/5.69 |-Branch two:
% 21.51/5.69 | (377) ~ (all_0_57_57 = e4)
% 21.51/5.69 | (304) all_0_58_58 = e4
% 21.51/5.69 |
% 21.51/5.69 | Combining equations (304,308) yields a new equation:
% 21.51/5.69 | (316) e4 = e0
% 21.51/5.69 |
% 21.51/5.69 | Simplifying 316 yields:
% 21.51/5.69 | (317) e4 = e0
% 21.51/5.69 |
% 21.51/5.69 | Equations (317) can reduce 43 to:
% 21.51/5.69 | (301) $false
% 21.51/5.69 |
% 21.51/5.69 |-The branch is then unsatisfiable
% 21.51/5.69 |-Branch two:
% 21.51/5.69 | (464) ~ (all_0_49_49 = e4)
% 21.51/5.69 | (335) all_0_50_50 = e4
% 21.51/5.69 |
% 21.51/5.69 | Combining equations (331,335) yields a new equation:
% 21.51/5.69 | (504) e4 = e2
% 21.51/5.69 |
% 21.51/5.69 | Equations (504) can reduce 42 to:
% 21.51/5.69 | (301) $false
% 21.51/5.69 |
% 21.51/5.69 |-The branch is then unsatisfiable
% 21.51/5.69 |-Branch two:
% 21.51/5.69 | (477) ~ (all_0_45_45 = e1)
% 21.51/5.69 | (982) all_0_49_49 = e1 | all_0_57_57 = e1
% 21.51/5.69 |
% 21.51/5.69 +-Applying beta-rule and splitting (982), into two cases.
% 21.51/5.69 |-Branch one:
% 21.51/5.69 | (487) all_0_49_49 = e1
% 21.51/5.69 |
% 21.51/5.69 | Equations (487) can reduce 478 to:
% 21.51/5.69 | (301) $false
% 21.51/5.69 |
% 21.51/5.69 |-The branch is then unsatisfiable
% 21.51/5.69 |-Branch two:
% 21.51/5.69 | (478) ~ (all_0_49_49 = e1)
% 21.51/5.69 | (476) all_0_57_57 = e1
% 21.51/5.69 |
% 21.51/5.69 | Combining equations (476,473) yields a new equation:
% 21.51/5.69 | (708) e3 = e1
% 21.51/5.69 |
% 21.51/5.69 | Equations (708) can reduce 234 to:
% 21.51/5.69 | (301) $false
% 21.51/5.69 |
% 21.51/5.69 |-The branch is then unsatisfiable
% 21.51/5.69 |-Branch two:
% 21.51/5.69 | (270) ~ (all_0_56_56 = e2)
% 21.51/5.69 | (640) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0
% 21.51/5.69 |
% 21.51/5.69 +-Applying beta-rule and splitting (3570), into two cases.
% 21.51/5.69 |-Branch one:
% 21.51/5.69 | (260) all_0_48_48 = e2
% 21.51/5.69 |
% 21.51/5.69 | Combining equations (351,260) yields a new equation:
% 21.51/5.69 | (345) e2 = e0
% 21.51/5.69 |
% 21.51/5.69 | Equations (345) can reduce 133 to:
% 21.51/5.69 | (301) $false
% 21.51/5.69 |
% 21.51/5.69 |-The branch is then unsatisfiable
% 21.51/5.69 |-Branch two:
% 21.51/5.69 | (2801) ~ (all_0_48_48 = e2)
% 21.51/5.69 | (3648) all_0_53_53 = e2 | all_0_56_56 = e2
% 21.51/5.69 |
% 21.51/5.69 +-Applying beta-rule and splitting (3648), into two cases.
% 21.51/5.69 |-Branch one:
% 21.51/5.69 | (1254) all_0_53_53 = e2
% 21.51/5.69 |
% 21.51/5.69 | Combining equations (419,1254) yields a new equation:
% 21.51/5.69 | (572) e3 = e2
% 21.51/5.69 |
% 21.51/5.69 | Simplifying 572 yields:
% 21.51/5.69 | (573) e3 = e2
% 21.51/5.69 |
% 21.51/5.69 | Equations (573) can reduce 231 to:
% 21.51/5.69 | (301) $false
% 21.51/5.69 |
% 21.51/5.69 |-The branch is then unsatisfiable
% 21.51/5.69 |-Branch two:
% 21.51/5.69 | (268) ~ (all_0_53_53 = e2)
% 21.51/5.69 | (637) all_0_56_56 = e2
% 21.51/5.69 |
% 21.51/5.69 | Equations (637) can reduce 270 to:
% 21.51/5.69 | (301) $false
% 21.51/5.69 |
% 21.51/5.69 |-The branch is then unsatisfiable
% 21.51/5.69 |-Branch two:
% 21.51/5.69 | (407) ~ (all_0_44_44 = e4)
% 21.51/5.69 | (1920) all_0_44_44 = e3 | all_0_44_44 = e0
% 21.51/5.69 |
% 21.51/5.69 +-Applying beta-rule and splitting (1920), into two cases.
% 21.51/5.69 |-Branch one:
% 21.51/5.69 | (383) all_0_44_44 = e0
% 21.51/5.69 |
% 21.51/5.69 | Equations (383) can reduce 525 to:
% 21.51/5.69 | (301) $false
% 21.51/5.69 |
% 21.51/5.69 |-The branch is then unsatisfiable
% 21.51/5.69 |-Branch two:
% 21.51/5.69 | (525) ~ (all_0_44_44 = e0)
% 21.51/5.69 | (413) all_0_44_44 = e3
% 21.51/5.69 |
% 21.51/5.69 | Equations (413) can reduce 417 to:
% 21.51/5.69 | (301) $false
% 21.51/5.69 |
% 21.51/5.69 |-The branch is then unsatisfiable
% 21.51/5.69 |-Branch two:
% 21.51/5.69 | (277) ~ (all_0_42_42 = e2)
% 21.51/5.69 | (1196) all_0_51_51 = e2 | all_0_54_54 = e2
% 21.51/5.69 |
% 21.51/5.69 +-Applying beta-rule and splitting (1196), into two cases.
% 21.51/5.69 |-Branch one:
% 21.51/5.69 | (276) all_0_51_51 = e2
% 21.51/5.69 |
% 21.51/5.69 | Combining equations (276,654) yields a new equation:
% 21.51/5.69 | (504) e4 = e2
% 21.51/5.69 |
% 21.51/5.69 | Equations (504) can reduce 42 to:
% 21.51/5.69 | (301) $false
% 21.51/5.69 |
% 21.51/5.69 |-The branch is then unsatisfiable
% 21.51/5.69 |-Branch two:
% 21.51/5.69 | (971) ~ (all_0_51_51 = e2)
% 21.51/5.69 | (600) all_0_54_54 = e2
% 21.51/5.69 |
% 21.51/5.69 | Combining equations (724,600) yields a new equation:
% 21.51/5.69 | (928) e2 = e1
% 21.51/5.69 |
% 21.51/5.69 | Equations (928) can reduce 122 to:
% 21.51/5.69 | (301) $false
% 21.51/5.69 |
% 21.51/5.69 |-The branch is then unsatisfiable
% 21.51/5.69 |-Branch two:
% 21.51/5.69 | (1566) ~ (all_0_54_54 = e1)
% 21.51/5.69 | (1691) all_0_55_55 = e1 | all_0_57_57 = e1
% 21.51/5.69 |
% 21.51/5.69 +-Applying beta-rule and splitting (186), into two cases.
% 21.51/5.69 |-Branch one:
% 21.51/5.69 | (979) all_0_42_42 = e1
% 21.51/5.69 |
% 21.51/5.69 | Equations (979) can reduce 208 to:
% 21.51/5.69 | (3832) ~ (all_0_45_45 = e1)
% 21.51/5.69 |
% 21.51/5.69 | Simplifying 3832 yields:
% 21.51/5.69 | (477) ~ (all_0_45_45 = e1)
% 21.51/5.69 |
% 21.51/5.69 +-Applying beta-rule and splitting (211), into two cases.
% 21.51/5.69 |-Branch one:
% 21.51/5.69 | (784) all_0_45_45 = e1
% 21.51/5.69 |
% 21.51/5.69 | Equations (784) can reduce 477 to:
% 21.51/5.69 | (301) $false
% 21.51/5.69 |
% 21.51/5.69 |-The branch is then unsatisfiable
% 21.51/5.69 |-Branch two:
% 21.51/5.69 | (477) ~ (all_0_45_45 = e1)
% 21.51/5.69 | (982) all_0_49_49 = e1 | all_0_57_57 = e1
% 21.51/5.69 |
% 21.51/5.69 +-Applying beta-rule and splitting (160), into two cases.
% 21.51/5.69 |-Branch one:
% 21.51/5.69 | (752) all_0_45_45 = e2
% 21.51/5.69 |
% 21.51/5.69 | Equations (752) can reduce 730 to:
% 21.51/5.69 | (301) $false
% 21.51/5.69 |
% 21.51/5.69 |-The branch is then unsatisfiable
% 21.51/5.69 |-Branch two:
% 21.51/5.69 | (730) ~ (all_0_45_45 = e2)
% 21.51/5.69 | (2552) all_0_45_45 = e4 | all_0_45_45 = e3 | all_0_45_45 = e1
% 21.51/5.69 |
% 21.51/5.69 +-Applying beta-rule and splitting (3048), into two cases.
% 21.51/5.69 |-Branch one:
% 21.51/5.69 | (491) all_0_49_49 = e4
% 21.51/5.69 |
% 21.51/5.69 | Equations (491) can reduce 23 to:
% 21.51/5.69 | (489) ~ (all_0_45_45 = e4)
% 21.51/5.69 |
% 21.51/5.69 +-Applying beta-rule and splitting (2552), into two cases.
% 21.51/5.69 |-Branch one:
% 21.51/5.69 | (481) all_0_45_45 = e4
% 21.51/5.69 |
% 21.51/5.69 | Equations (481) can reduce 489 to:
% 21.51/5.69 | (301) $false
% 21.51/5.69 |
% 21.51/5.69 |-The branch is then unsatisfiable
% 21.51/5.69 |-Branch two:
% 21.51/5.69 | (489) ~ (all_0_45_45 = e4)
% 21.51/5.69 | (2556) all_0_45_45 = e3 | all_0_45_45 = e1
% 21.51/5.69 |
% 21.51/5.69 +-Applying beta-rule and splitting (2556), into two cases.
% 21.51/5.69 |-Branch one:
% 21.51/5.69 | (2016) all_0_45_45 = e3
% 21.51/5.69 |
% 21.51/5.69 | Equations (2016) can reduce 770 to:
% 21.51/5.69 | (301) $false
% 21.51/5.69 |
% 21.51/5.70 |-The branch is then unsatisfiable
% 21.51/5.70 |-Branch two:
% 21.51/5.70 | (770) ~ (all_0_45_45 = e3)
% 21.51/5.70 | (784) all_0_45_45 = e1
% 21.51/5.70 |
% 21.51/5.70 | Equations (784) can reduce 477 to:
% 21.51/5.70 | (301) $false
% 21.51/5.70 |
% 21.51/5.70 |-The branch is then unsatisfiable
% 21.51/5.70 |-Branch two:
% 21.51/5.70 | (464) ~ (all_0_49_49 = e4)
% 21.51/5.70 | (335) all_0_50_50 = e4
% 21.51/5.70 |
% 21.51/5.70 | Combining equations (335,331) yields a new equation:
% 21.51/5.70 | (553) e4 = e2
% 21.51/5.70 |
% 21.51/5.70 | Simplifying 553 yields:
% 21.51/5.70 | (504) e4 = e2
% 21.51/5.70 |
% 21.51/5.70 | Equations (504) can reduce 42 to:
% 21.51/5.70 | (301) $false
% 21.51/5.70 |
% 21.51/5.70 |-The branch is then unsatisfiable
% 21.51/5.70 |-Branch two:
% 21.51/5.70 | (785) ~ (all_0_42_42 = e1)
% 21.51/5.70 | (724) all_0_54_54 = e1
% 21.51/5.70 |
% 21.51/5.70 | Equations (724) can reduce 1566 to:
% 21.51/5.70 | (301) $false
% 21.51/5.70 |
% 21.51/5.70 |-The branch is then unsatisfiable
% 21.51/5.70 |-Branch two:
% 21.51/5.70 | (486) ~ (all_0_47_47 = e1)
% 21.51/5.70 | (487) all_0_49_49 = e1
% 21.51/5.70 |
% 21.51/5.70 | Combining equations (487,2999) yields a new equation:
% 21.51/5.70 | (810) all_0_4_4 = e1
% 21.51/5.70 |
% 21.51/5.70 | Equations (487) can reduce 23 to:
% 21.51/5.70 | (477) ~ (all_0_45_45 = e1)
% 21.51/5.70 |
% 21.51/5.70 | Equations (487) can reduce 264 to:
% 21.51/5.70 | (788) ~ (e2 = e1)
% 21.51/5.70 |
% 21.51/5.70 | Simplifying 788 yields:
% 21.51/5.70 | (122) ~ (e2 = e1)
% 21.51/5.70 |
% 21.51/5.70 | Equations (487) can reduce 241 to:
% 21.51/5.70 | (247) ~ (e1 = e0)
% 21.51/5.70 |
% 21.51/5.70 | From (487) and (162) follows:
% 21.51/5.70 | (3316) op(e1, e1) = all_0_20_20
% 21.51/5.70 |
% 21.51/5.70 +-Applying beta-rule and splitting (176), into two cases.
% 21.51/5.70 |-Branch one:
% 21.51/5.70 | (462) all_0_47_47 = e4
% 21.51/5.70 |
% 21.51/5.70 | Combining equations (462,9643) yields a new equation:
% 21.51/5.70 | (9883) all_0_26_26 = e4
% 21.51/5.70 |
% 21.51/5.70 | Equations (462) can reduce 262 to:
% 21.51/5.70 | (42) ~ (e4 = e2)
% 21.51/5.70 |
% 21.51/5.70 | From (462) and (142) follows:
% 21.51/5.70 | (3346) op(e4, e3) = all_0_17_17
% 21.51/5.70 |
% 21.51/5.70 | From (462) and (25) follows:
% 21.51/5.70 | (9886) op(e4, e2) = all_0_16_16
% 21.51/5.70 |
% 21.51/5.70 +-Applying beta-rule and splitting (220), into two cases.
% 21.51/5.70 |-Branch one:
% 21.51/5.70 | (706) all_0_43_43 = e1
% 21.51/5.70 |
% 21.51/5.70 | Combining equations (513,706) yields a new equation:
% 21.51/5.70 | (935) e1 = e0
% 21.51/5.70 |
% 21.51/5.70 | Equations (935) can reduce 247 to:
% 21.51/5.70 | (301) $false
% 21.51/5.70 |
% 21.51/5.70 |-The branch is then unsatisfiable
% 21.51/5.70 |-Branch two:
% 21.51/5.70 | (710) ~ (all_0_43_43 = e1)
% 21.51/5.70 | (711) all_0_47_47 = e1 | all_0_55_55 = e1
% 21.51/5.70 |
% 21.51/5.70 +-Applying beta-rule and splitting (160), into two cases.
% 21.51/5.70 |-Branch one:
% 21.51/5.70 | (752) all_0_45_45 = e2
% 21.51/5.70 |
% 21.51/5.70 | Equations (752) can reduce 730 to:
% 21.51/5.70 | (301) $false
% 21.51/5.70 |
% 21.51/5.70 |-The branch is then unsatisfiable
% 21.51/5.70 |-Branch two:
% 21.51/5.70 | (730) ~ (all_0_45_45 = e2)
% 21.51/5.70 | (2552) all_0_45_45 = e4 | all_0_45_45 = e3 | all_0_45_45 = e1
% 21.51/5.70 |
% 21.51/5.70 +-Applying beta-rule and splitting (233), into two cases.
% 21.51/5.70 |-Branch one:
% 21.51/5.70 | (465) all_0_40_40 = e4
% 21.51/5.70 |
% 21.51/5.70 | Combining equations (1380,465) yields a new equation:
% 21.51/5.70 | (504) e4 = e2
% 21.51/5.70 |
% 21.51/5.70 | Equations (504) can reduce 42 to:
% 21.51/5.70 | (301) $false
% 21.51/5.70 |
% 21.51/5.70 |-The branch is then unsatisfiable
% 21.51/5.70 |-Branch two:
% 21.51/5.70 | (298) ~ (all_0_40_40 = e4)
% 21.51/5.70 | (468) all_0_45_45 = e4 | all_0_49_49 = e4 | all_0_57_57 = e4
% 21.51/5.70 |
% 21.51/5.70 +-Applying beta-rule and splitting (468), into two cases.
% 21.51/5.70 |-Branch one:
% 21.51/5.70 | (481) all_0_45_45 = e4
% 21.51/5.70 |
% 21.51/5.70 | Combining equations (481,7883) yields a new equation:
% 21.51/5.70 | (813) all_0_36_36 = e4
% 21.51/5.70 |
% 21.51/5.70 | Equations (481) can reduce 208 to:
% 21.51/5.70 | (974) ~ (all_0_42_42 = e4)
% 21.51/5.70 |
% 21.51/5.70 | Equations (481) can reduce 38 to:
% 21.51/5.70 | (407) ~ (all_0_44_44 = e4)
% 21.51/5.70 |
% 21.51/5.70 | Equations (481) can reduce 770 to:
% 21.51/5.70 | (199) ~ (e4 = e3)
% 21.51/5.70 |
% 21.51/5.70 | Equations (481) can reduce 730 to:
% 21.51/5.70 | (42) ~ (e4 = e2)
% 21.51/5.70 |
% 21.51/5.70 | From (481) and (50) follows:
% 21.51/5.70 | (8266) op(e4, e3) = all_0_12_12
% 21.51/5.70 |
% 21.51/5.70 | From (481) and (44) follows:
% 21.51/5.70 | (8267) op(e4, e1) = all_0_13_13
% 21.51/5.70 |
% 21.51/5.70 +-Applying beta-rule and splitting (21), into two cases.
% 21.51/5.70 |-Branch one:
% 21.51/5.70 | (403) all_0_44_44 = e4
% 21.51/5.70 |
% 21.51/5.70 | Equations (403) can reduce 407 to:
% 21.51/5.70 | (301) $false
% 21.51/5.70 |
% 21.51/5.70 |-The branch is then unsatisfiable
% 21.51/5.70 |-Branch two:
% 21.51/5.70 | (407) ~ (all_0_44_44 = e4)
% 21.51/5.70 | (408) all_0_53_53 = e4 | all_0_56_56 = e4
% 21.51/5.70 |
% 21.51/5.70 +-Applying beta-rule and splitting (239), into two cases.
% 21.51/5.70 |-Branch one:
% 21.51/5.70 | (747) all_0_44_44 = e2
% 21.51/5.70 |
% 21.51/5.70 | Combining equations (747,5464) yields a new equation:
% 21.51/5.70 | (3116) all_0_28_28 = e2
% 21.51/5.70 |
% 21.51/5.70 | Equations (747) can reduce 84 to:
% 21.51/5.70 | (277) ~ (all_0_42_42 = e2)
% 21.51/5.70 |
% 21.51/5.70 | Equations (747) can reduce 124 to:
% 21.51/5.70 | (269) ~ (all_0_56_56 = e2)
% 21.51/5.70 |
% 21.51/5.70 | Simplifying 269 yields:
% 21.51/5.70 | (270) ~ (all_0_56_56 = e2)
% 21.51/5.70 |
% 21.51/5.70 | Equations (747) can reduce 407 to:
% 21.51/5.70 | (271) ~ (e4 = e2)
% 21.51/5.70 |
% 21.51/5.70 | Simplifying 271 yields:
% 21.51/5.70 | (42) ~ (e4 = e2)
% 21.51/5.70 |
% 21.51/5.70 | Equations (747) can reduce 55 to:
% 21.51/5.70 | (122) ~ (e2 = e1)
% 21.51/5.70 |
% 21.51/5.70 | From (747) and (185) follows:
% 21.51/5.70 | (2951) op(e2, e2) = all_0_11_11
% 21.51/5.70 |
% 21.51/5.70 +-Applying beta-rule and splitting (145), into two cases.
% 21.51/5.70 |-Branch one:
% 21.51/5.70 | (737) all_0_42_42 = e2
% 21.51/5.70 |
% 21.51/5.70 | Equations (737) can reduce 277 to:
% 21.51/5.70 | (301) $false
% 21.51/5.70 |
% 21.51/5.70 |-The branch is then unsatisfiable
% 21.51/5.70 |-Branch two:
% 21.51/5.70 | (277) ~ (all_0_42_42 = e2)
% 21.51/5.70 | (1196) all_0_51_51 = e2 | all_0_54_54 = e2
% 21.51/5.70 |
% 21.51/5.70 +-Applying beta-rule and splitting (179), into two cases.
% 21.51/5.70 |-Branch one:
% 21.51/5.70 | (637) all_0_56_56 = e2
% 21.51/5.70 |
% 21.51/5.70 | Equations (637) can reduce 270 to:
% 21.51/5.70 | (301) $false
% 21.51/5.70 |
% 21.51/5.70 |-The branch is then unsatisfiable
% 21.51/5.70 |-Branch two:
% 21.51/5.70 | (270) ~ (all_0_56_56 = e2)
% 21.51/5.70 | (640) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0
% 21.51/5.70 |
% 21.51/5.70 +-Applying beta-rule and splitting (28), into two cases.
% 21.51/5.70 |-Branch one:
% 21.51/5.70 | (979) all_0_42_42 = e1
% 21.51/5.70 |
% 21.51/5.70 | Equations (979) can reduce 181 to:
% 21.51/5.70 | (1565) ~ (all_0_54_54 = e1)
% 21.51/5.70 |
% 21.51/5.70 | Simplifying 1565 yields:
% 21.51/5.70 | (1566) ~ (all_0_54_54 = e1)
% 21.51/5.70 |
% 21.51/5.70 | Equations (979) can reduce 974 to:
% 21.51/5.70 | (479) ~ (e4 = e1)
% 21.51/5.70 |
% 21.51/5.70 | Simplifying 479 yields:
% 21.51/5.70 | (114) ~ (e4 = e1)
% 21.51/5.70 |
% 21.51/5.70 | Equations (979) can reduce 68 to:
% 21.51/5.70 | (786) ~ (e3 = e1)
% 21.51/5.70 |
% 21.51/5.70 | Simplifying 786 yields:
% 21.51/5.70 | (234) ~ (e3 = e1)
% 21.51/5.70 |
% 21.51/5.70 | From (979) and (159) follows:
% 21.51/5.70 | (1567) op(e1, e4) = all_0_8_8
% 21.51/5.70 |
% 21.51/5.70 | From (979) and (105) follows:
% 21.51/5.70 | (1568) op(e1, e3) = all_0_7_7
% 21.51/5.70 |
% 21.51/5.70 +-Applying beta-rule and splitting (57), into two cases.
% 21.51/5.70 |-Branch one:
% 21.51/5.70 | (600) all_0_54_54 = e2
% 21.51/5.70 |
% 21.51/5.70 | Equations (600) can reduce 144 to:
% 21.51/5.70 | (1270) ~ (all_0_55_55 = e2)
% 21.51/5.70 |
% 21.51/5.70 | Simplifying 1270 yields:
% 21.51/5.70 | (1140) ~ (all_0_55_55 = e2)
% 21.51/5.70 |
% 21.51/5.70 | Equations (600) can reduce 206 to:
% 21.51/5.70 | (284) ~ (e3 = e2)
% 21.51/5.70 |
% 21.51/5.70 | Simplifying 284 yields:
% 21.51/5.70 | (231) ~ (e3 = e2)
% 21.51/5.70 |
% 21.51/5.70 | Equations (600) can reduce 1566 to:
% 21.51/5.70 | (122) ~ (e2 = e1)
% 21.51/5.70 |
% 21.51/5.70 | Equations (600) can reduce 682 to:
% 21.51/5.70 | (133) ~ (e2 = e0)
% 21.51/5.70 |
% 21.51/5.70 | From (600) and (52) follows:
% 21.51/5.70 | (8979) op(e2, e4) = all_0_30_30
% 21.51/5.70 |
% 21.51/5.70 +-Applying beta-rule and splitting (9), into two cases.
% 21.51/5.70 |-Branch one:
% 21.51/5.70 | (724) all_0_54_54 = e1
% 21.51/5.70 |
% 21.51/5.70 | Combining equations (600,724) yields a new equation:
% 21.51/5.70 | (1250) e2 = e1
% 21.51/5.70 |
% 21.51/5.70 | Simplifying 1250 yields:
% 21.51/5.70 | (928) e2 = e1
% 21.51/5.70 |
% 21.51/5.70 | Equations (928) can reduce 122 to:
% 21.51/5.70 | (301) $false
% 21.51/5.70 |
% 21.51/5.70 |-The branch is then unsatisfiable
% 21.51/5.70 |-Branch two:
% 21.51/5.70 | (1566) ~ (all_0_54_54 = e1)
% 21.51/5.70 | (1691) all_0_55_55 = e1 | all_0_57_57 = e1
% 21.51/5.70 |
% 21.51/5.70 +-Applying beta-rule and splitting (1691), into two cases.
% 21.51/5.70 |-Branch one:
% 21.51/5.70 | (1020) all_0_55_55 = e1
% 21.51/5.70 |
% 21.51/5.70 | Equations (1020) can reduce 194 to:
% 21.51/5.70 | (2979) ~ (all_0_56_56 = e1)
% 21.51/5.70 |
% 21.51/5.70 | Simplifying 2979 yields:
% 21.51/5.70 | (58) ~ (all_0_56_56 = e1)
% 21.51/5.70 |
% 21.51/5.70 | Equations (1020) can reduce 1140 to:
% 21.51/5.70 | (788) ~ (e2 = e1)
% 21.51/5.70 |
% 21.51/5.70 | Simplifying 788 yields:
% 21.51/5.70 | (122) ~ (e2 = e1)
% 21.51/5.70 |
% 21.51/5.70 | Equations (1020) can reduce 372 to:
% 21.51/5.70 | (247) ~ (e1 = e0)
% 21.51/5.70 |
% 21.51/5.70 | From (1020) and (97) follows:
% 21.51/5.70 | (4196) op(e1, e3) = all_0_32_32
% 21.51/5.70 |
% 21.51/5.70 +-Applying beta-rule and splitting (640), into two cases.
% 21.51/5.70 |-Branch one:
% 21.51/5.70 | (523) all_0_56_56 = e4
% 21.51/5.70 |
% 21.51/5.70 | Equations (523) can reduce 596 to:
% 21.51/5.70 | (199) ~ (e4 = e3)
% 21.51/5.70 |
% 21.51/5.70 | Equations (523) can reduce 58 to:
% 21.51/5.70 | (114) ~ (e4 = e1)
% 21.51/5.70 |
% 21.51/5.70 | Equations (523) can reduce 374 to:
% 21.51/5.70 | (43) ~ (e4 = e0)
% 21.51/5.70 |
% 21.51/5.70 | From (523) and (202) follows:
% 21.51/5.70 | (648) op(e4, e2) = all_0_34_34
% 21.51/5.70 |
% 21.51/5.70 | Instantiating formula (151) with e4, e3, all_0_12_12, e3 and discharging atoms op(e4, e3) = all_0_12_12, op(e4, e3) = e3, yields:
% 21.51/5.70 | (2249) all_0_12_12 = e3
% 21.51/5.70 |
% 21.51/5.70 | Instantiating formula (151) with e4, e3, all_0_17_17, all_0_12_12 and discharging atoms op(e4, e3) = all_0_12_12, op(e4, e3) = all_0_17_17, yields:
% 21.51/5.70 | (817) all_0_12_12 = all_0_17_17
% 21.51/5.70 |
% 21.51/5.70 | Instantiating formula (151) with e4, e2, all_0_16_16, e1 and discharging atoms op(e4, e2) = all_0_16_16, op(e4, e2) = e1, yields:
% 21.51/5.70 | (9967) all_0_16_16 = e1
% 21.51/5.70 |
% 21.51/5.70 | Instantiating formula (151) with e4, e2, all_0_34_34, all_0_16_16 and discharging atoms op(e4, e2) = all_0_16_16, op(e4, e2) = all_0_34_34, yields:
% 21.51/5.70 | (9968) all_0_16_16 = all_0_34_34
% 21.51/5.70 |
% 21.51/5.70 | Instantiating formula (151) with e4, e1, all_0_13_13, e2 and discharging atoms op(e4, e1) = all_0_13_13, op(e4, e1) = e2, yields:
% 21.51/5.70 | (8303) all_0_13_13 = e2
% 21.51/5.70 |
% 21.51/5.70 | Instantiating formula (151) with e2, e4, all_0_30_30, e3 and discharging atoms op(e2, e4) = all_0_30_30, op(e2, e4) = e3, yields:
% 21.51/5.70 | (9018) all_0_30_30 = e3
% 21.51/5.70 |
% 21.51/5.70 | Instantiating formula (151) with e2, e2, all_0_11_11, e0 and discharging atoms op(e2, e2) = all_0_11_11, op(e2, e2) = e0, yields:
% 21.51/5.70 | (2998) all_0_11_11 = e0
% 21.51/5.70 |
% 21.51/5.70 | Instantiating formula (151) with e1, e4, all_0_8_8, e4 and discharging atoms op(e1, e4) = all_0_8_8, op(e1, e4) = e4, yields:
% 21.51/5.70 | (9020) all_0_8_8 = e4
% 21.51/5.70 |
% 21.51/5.70 | Instantiating formula (151) with e1, e3, all_0_7_7, e2 and discharging atoms op(e1, e3) = all_0_7_7, op(e1, e3) = e2, yields:
% 21.51/5.71 | (804) all_0_7_7 = e2
% 21.51/5.71 |
% 21.51/5.71 | Instantiating formula (151) with e1, e3, all_0_32_32, all_0_7_7 and discharging atoms op(e1, e3) = all_0_7_7, op(e1, e3) = all_0_32_32, yields:
% 21.51/5.71 | (5093) all_0_7_7 = all_0_32_32
% 21.51/5.71 |
% 21.51/5.71 | Instantiating formula (151) with e1, e1, all_0_20_20, e0 and discharging atoms op(e1, e1) = all_0_20_20, op(e1, e1) = e0, yields:
% 21.51/5.71 | (3372) all_0_20_20 = e0
% 21.51/5.71 |
% 21.51/5.71 | Combining equations (804,5093) yields a new equation:
% 21.51/5.71 | (5099) all_0_32_32 = e2
% 21.51/5.71 |
% 21.51/5.71 | Combining equations (817,2249) yields a new equation:
% 21.51/5.71 | (9977) all_0_17_17 = e3
% 21.51/5.71 |
% 21.51/5.71 | Simplifying 9977 yields:
% 21.51/5.71 | (2256) all_0_17_17 = e3
% 21.51/5.71 |
% 21.51/5.71 | Combining equations (9968,9967) yields a new equation:
% 21.71/5.71 | (9979) all_0_34_34 = e1
% 21.71/5.71 |
% 21.71/5.71 | Simplifying 9979 yields:
% 21.71/5.71 | (829) all_0_34_34 = e1
% 21.71/5.71 |
% 21.71/5.71 +-Applying beta-rule and splitting (128), into two cases.
% 21.71/5.71 |-Branch one:
% 21.71/5.71 | (837) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)) | (all_0_42_42 = e2 & ~ (all_0_44_44 = e4))
% 21.71/5.71 |
% 21.71/5.71 +-Applying beta-rule and splitting (837), into two cases.
% 21.71/5.71 |-Branch one:
% 21.71/5.71 | (838) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1))
% 21.71/5.71 |
% 21.71/5.71 +-Applying beta-rule and splitting (838), into two cases.
% 21.71/5.71 |-Branch one:
% 21.71/5.71 | (839) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56))
% 21.71/5.71 |
% 21.71/5.71 +-Applying beta-rule and splitting (839), into two cases.
% 21.71/5.71 |-Branch one:
% 21.71/5.71 | (840) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55))
% 21.71/5.71 |
% 21.71/5.71 +-Applying beta-rule and splitting (840), into two cases.
% 21.71/5.71 |-Branch one:
% 21.71/5.71 | (841) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54))
% 21.71/5.71 |
% 21.71/5.71 +-Applying beta-rule and splitting (841), into two cases.
% 21.71/5.71 |-Branch one:
% 21.71/5.71 | (842) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53))
% 21.71/5.71 |
% 21.71/5.71 +-Applying beta-rule and splitting (842), into two cases.
% 21.71/5.71 |-Branch one:
% 21.71/5.71 | (843) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52))
% 21.71/5.71 |
% 21.71/5.71 +-Applying beta-rule and splitting (843), into two cases.
% 21.71/5.71 |-Branch one:
% 21.71/5.71 | (844) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51))
% 21.71/5.71 |
% 21.71/5.71 +-Applying beta-rule and splitting (844), into two cases.
% 21.71/5.71 |-Branch one:
% 21.71/5.71 | (845) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56))
% 21.71/5.71 |
% 21.71/5.71 +-Applying beta-rule and splitting (845), into two cases.
% 21.71/5.71 |-Branch one:
% 21.71/5.71 | (846) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53))
% 21.71/5.71 |
% 21.71/5.71 +-Applying beta-rule and splitting (846), into two cases.
% 21.71/5.71 |-Branch one:
% 21.71/5.71 | (847) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47))
% 21.71/5.71 |
% 21.71/5.71 +-Applying beta-rule and splitting (847), into two cases.
% 21.71/5.71 |-Branch one:
% 21.71/5.71 | (848) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55))
% 21.71/5.71 |
% 21.71/5.71 +-Applying beta-rule and splitting (848), into two cases.
% 21.71/5.71 |-Branch one:
% 21.71/5.71 | (849) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52))
% 21.71/5.71 |
% 21.71/5.71 +-Applying beta-rule and splitting (849), into two cases.
% 21.71/5.71 |-Branch one:
% 21.71/5.71 | (850) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47))
% 21.71/5.71 |
% 21.71/5.71 +-Applying beta-rule and splitting (850), into two cases.
% 21.71/5.71 |-Branch one:
% 21.71/5.71 | (851) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42))
% 21.71/5.71 |
% 21.71/5.71 +-Applying beta-rule and splitting (851), into two cases.
% 21.71/5.71 |-Branch one:
% 21.71/5.71 | (852) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54))
% 21.71/5.71 |
% 21.71/5.71 +-Applying beta-rule and splitting (852), into two cases.
% 21.71/5.71 |-Branch one:
% 21.71/5.71 | (853) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51))
% 21.71/5.71 |
% 21.71/5.71 +-Applying beta-rule and splitting (853), into two cases.
% 21.71/5.71 |-Branch one:
% 21.71/5.71 | (854) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)
% 21.71/5.71 |
% 21.71/5.71 | Applying alpha-rule on (854) yields:
% 21.71/5.71 | (855) all_0_2_2 = e4
% 21.71/5.71 | (856) ~ (all_0_1_1 = e3)
% 21.71/5.71 | (857) ~ (all_0_39_39 = all_0_42_42)
% 21.71/5.71 |
% 21.71/5.71 | Combining equations (855,5564) yields a new equation:
% 21.71/5.71 | (316) e4 = e0
% 21.71/5.71 |
% 21.71/5.71 | Simplifying 316 yields:
% 21.71/5.71 | (317) e4 = e0
% 21.71/5.71 |
% 21.71/5.71 | Equations (317) can reduce 43 to:
% 21.71/5.71 | (301) $false
% 21.71/5.71 |
% 21.71/5.71 |-The branch is then unsatisfiable
% 21.71/5.71 |-Branch two:
% 21.71/5.71 | (861) all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)
% 21.71/5.71 |
% 21.71/5.71 | Applying alpha-rule on (861) yields:
% 21.71/5.71 | (862) all_0_4_4 = e4
% 21.71/5.71 | (863) ~ (all_0_3_3 = e1)
% 21.71/5.71 | (864) ~ (all_0_40_40 = all_0_51_51)
% 21.71/5.71 |
% 21.71/5.71 | Combining equations (862,810) yields a new equation:
% 21.71/5.71 | (858) e4 = e1
% 21.71/5.71 |
% 21.71/5.71 | Simplifying 858 yields:
% 21.71/5.71 | (484) e4 = e1
% 21.71/5.71 |
% 21.71/5.71 | Equations (484) can reduce 114 to:
% 21.71/5.71 | (301) $false
% 21.71/5.71 |
% 21.71/5.71 |-The branch is then unsatisfiable
% 21.71/5.71 |-Branch two:
% 21.71/5.71 | (868) all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)
% 21.71/5.71 |
% 21.71/5.71 | Applying alpha-rule on (868) yields:
% 21.71/5.71 | (869) all_0_6_6 = e4
% 21.71/5.71 | (870) ~ (all_0_5_5 = e0)
% 21.71/5.71 | (871) ~ (all_0_41_41 = all_0_54_54)
% 21.71/5.71 |
% 21.71/5.71 | Equations (802) can reduce 870 to:
% 21.71/5.71 | (301) $false
% 21.71/5.71 |
% 21.71/5.71 |-The branch is then unsatisfiable
% 21.71/5.71 |-Branch two:
% 21.71/5.71 | (873) all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)
% 21.71/5.71 |
% 21.71/5.71 | Applying alpha-rule on (873) yields:
% 21.71/5.71 | (874) all_0_8_8 = e3
% 21.71/5.71 | (875) ~ (all_0_7_7 = e4)
% 21.71/5.71 | (857) ~ (all_0_39_39 = all_0_42_42)
% 21.71/5.71 |
% 21.71/5.71 | Combining equations (874,9020) yields a new equation:
% 21.71/5.71 | (420) e4 = e3
% 21.71/5.71 |
% 21.71/5.71 | Equations (420) can reduce 199 to:
% 21.71/5.71 | (301) $false
% 21.71/5.71 |
% 21.71/5.71 |-The branch is then unsatisfiable
% 21.71/5.71 |-Branch two:
% 21.71/5.71 | (880) all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)
% 21.71/5.71 |
% 21.71/5.71 | Applying alpha-rule on (880) yields:
% 21.71/5.71 | (881) all_0_11_11 = e3
% 21.71/5.71 | (882) ~ (all_0_10_10 = e2)
% 21.71/5.71 | (883) ~ (all_0_44_44 = all_0_47_47)
% 21.71/5.71 |
% 21.71/5.71 | Combining equations (881,2998) yields a new equation:
% 21.71/5.71 | (414) e3 = e0
% 21.71/5.71 |
% 21.71/5.71 | Simplifying 414 yields:
% 21.71/5.71 | (415) e3 = e0
% 21.71/5.71 |
% 21.71/5.71 | Equations (415) can reduce 81 to:
% 21.71/5.71 | (301) $false
% 21.71/5.71 |
% 21.71/5.71 |-The branch is then unsatisfiable
% 21.71/5.71 |-Branch two:
% 21.71/5.71 | (886) all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)
% 21.71/5.71 |
% 21.71/5.71 | Applying alpha-rule on (886) yields:
% 21.71/5.71 | (887) all_0_13_13 = e3
% 21.71/5.71 | (888) ~ (all_0_12_12 = e1)
% 21.71/5.71 | (889) ~ (all_0_45_45 = all_0_52_52)
% 21.71/5.71 |
% 21.71/5.71 | Combining equations (887,8303) yields a new equation:
% 21.71/5.71 | (572) e3 = e2
% 21.71/5.71 |
% 21.71/5.71 | Simplifying 572 yields:
% 21.71/5.71 | (573) e3 = e2
% 21.71/5.71 |
% 21.71/5.71 | Equations (573) can reduce 231 to:
% 21.71/5.71 | (301) $false
% 21.71/5.71 |
% 21.71/5.71 |-The branch is then unsatisfiable
% 21.71/5.71 |-Branch two:
% 21.71/5.71 | (893) all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)
% 21.71/5.71 |
% 21.71/5.71 | Applying alpha-rule on (893) yields:
% 21.71/5.71 | (894) all_0_15_15 = e3
% 21.71/5.71 | (895) ~ (all_0_14_14 = e0)
% 21.71/5.71 | (896) ~ (all_0_46_46 = all_0_55_55)
% 21.71/5.71 |
% 21.71/5.71 | Equations (2994) can reduce 895 to:
% 21.71/5.71 | (301) $false
% 21.71/5.71 |
% 21.71/5.71 |-The branch is then unsatisfiable
% 21.71/5.71 |-Branch two:
% 21.71/5.71 | (900) all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)
% 21.71/5.71 |
% 21.71/5.71 | Applying alpha-rule on (900) yields:
% 21.71/5.71 | (901) all_0_17_17 = e2
% 21.71/5.71 | (902) ~ (all_0_16_16 = e3)
% 21.71/5.71 | (883) ~ (all_0_44_44 = all_0_47_47)
% 21.71/5.71 |
% 21.71/5.71 | Combining equations (901,2256) yields a new equation:
% 21.71/5.71 | (573) e3 = e2
% 21.71/5.71 |
% 21.71/5.72 | Equations (573) can reduce 231 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (906) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)
% 21.71/5.72 |
% 21.71/5.72 | Applying alpha-rule on (906) yields:
% 21.71/5.72 | (907) all_0_20_20 = e2
% 21.71/5.72 | (908) ~ (all_0_19_19 = e1)
% 21.71/5.72 | (909) ~ (all_0_49_49 = all_0_53_53)
% 21.71/5.72 |
% 21.71/5.72 | Combining equations (907,3372) yields a new equation:
% 21.71/5.72 | (352) e2 = e0
% 21.71/5.72 |
% 21.71/5.72 | Simplifying 352 yields:
% 21.71/5.72 | (345) e2 = e0
% 21.71/5.72 |
% 21.71/5.72 | Equations (345) can reduce 133 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (912) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)
% 21.71/5.72 |
% 21.71/5.72 | Applying alpha-rule on (912) yields:
% 21.71/5.72 | (913) all_0_22_22 = e2
% 21.71/5.72 | (914) ~ (all_0_21_21 = e0)
% 21.71/5.72 | (915) ~ (all_0_50_50 = all_0_56_56)
% 21.71/5.72 |
% 21.71/5.72 | Equations (2824) can reduce 914 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (918) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)
% 21.71/5.72 |
% 21.71/5.72 | Applying alpha-rule on (918) yields:
% 21.71/5.72 | (919) all_0_24_24 = e1
% 21.71/5.72 | (920) ~ (all_0_23_23 = e4)
% 21.71/5.72 | (864) ~ (all_0_40_40 = all_0_51_51)
% 21.71/5.72 |
% 21.71/5.72 | Combining equations (919,8568) yields a new equation:
% 21.71/5.72 | (934) e1 = e0
% 21.71/5.72 |
% 21.71/5.72 | Simplifying 934 yields:
% 21.71/5.72 | (935) e1 = e0
% 21.71/5.72 |
% 21.71/5.72 | Equations (935) can reduce 247 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (924) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)
% 21.71/5.72 |
% 21.71/5.72 | Applying alpha-rule on (924) yields:
% 21.71/5.72 | (925) all_0_26_26 = e1
% 21.71/5.72 | (926) ~ (all_0_25_25 = e3)
% 21.71/5.72 | (889) ~ (all_0_45_45 = all_0_52_52)
% 21.71/5.72 |
% 21.71/5.72 | Combining equations (925,9883) yields a new equation:
% 21.71/5.72 | (484) e4 = e1
% 21.71/5.72 |
% 21.71/5.72 | Equations (484) can reduce 114 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (930) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)
% 21.71/5.72 |
% 21.71/5.72 | Applying alpha-rule on (930) yields:
% 21.71/5.72 | (931) all_0_28_28 = e1
% 21.71/5.72 | (932) ~ (all_0_27_27 = e2)
% 21.71/5.72 | (909) ~ (all_0_49_49 = all_0_53_53)
% 21.71/5.72 |
% 21.71/5.72 | Combining equations (931,3116) yields a new equation:
% 21.71/5.72 | (928) e2 = e1
% 21.71/5.72 |
% 21.71/5.72 | Equations (928) can reduce 122 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (937) all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)
% 21.71/5.72 |
% 21.71/5.72 | Applying alpha-rule on (937) yields:
% 21.71/5.72 | (938) all_0_30_30 = e0
% 21.71/5.72 | (939) ~ (all_0_29_29 = e4)
% 21.71/5.72 | (871) ~ (all_0_41_41 = all_0_54_54)
% 21.71/5.72 |
% 21.71/5.72 | Combining equations (9018,938) yields a new equation:
% 21.71/5.72 | (414) e3 = e0
% 21.71/5.72 |
% 21.71/5.72 | Simplifying 414 yields:
% 21.71/5.72 | (415) e3 = e0
% 21.71/5.72 |
% 21.71/5.72 | Equations (415) can reduce 81 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (944) all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)
% 21.71/5.72 |
% 21.71/5.72 | Applying alpha-rule on (944) yields:
% 21.71/5.72 | (945) all_0_32_32 = e0
% 21.71/5.72 | (946) ~ (all_0_31_31 = e3)
% 21.71/5.72 | (896) ~ (all_0_46_46 = all_0_55_55)
% 21.71/5.72 |
% 21.71/5.72 | Combining equations (5099,945) yields a new equation:
% 21.71/5.72 | (352) e2 = e0
% 21.71/5.72 |
% 21.71/5.72 | Simplifying 352 yields:
% 21.71/5.72 | (345) e2 = e0
% 21.71/5.72 |
% 21.71/5.72 | Equations (345) can reduce 133 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (949) all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)
% 21.71/5.72 |
% 21.71/5.72 | Applying alpha-rule on (949) yields:
% 21.71/5.72 | (950) all_0_34_34 = e0
% 21.71/5.72 | (951) ~ (all_0_33_33 = e2)
% 21.71/5.72 | (915) ~ (all_0_50_50 = all_0_56_56)
% 21.71/5.72 |
% 21.71/5.72 | Combining equations (829,950) yields a new equation:
% 21.71/5.72 | (934) e1 = e0
% 21.71/5.72 |
% 21.71/5.72 | Simplifying 934 yields:
% 21.71/5.72 | (935) e1 = e0
% 21.71/5.72 |
% 21.71/5.72 | Equations (935) can reduce 247 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (956) all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)
% 21.71/5.72 |
% 21.71/5.72 | Applying alpha-rule on (956) yields:
% 21.71/5.72 | (957) all_0_36_36 = e0
% 21.71/5.72 | (958) ~ (all_0_35_35 = e1)
% 21.71/5.72 | (726) ~ (all_0_57_57 = e1)
% 21.71/5.72 |
% 21.71/5.72 | Combining equations (813,957) yields a new equation:
% 21.71/5.72 | (316) e4 = e0
% 21.71/5.72 |
% 21.71/5.72 | Simplifying 316 yields:
% 21.71/5.72 | (317) e4 = e0
% 21.71/5.72 |
% 21.71/5.72 | Equations (317) can reduce 43 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (963) all_0_42_42 = e2 & ~ (all_0_44_44 = e4)
% 21.71/5.72 |
% 21.71/5.72 | Applying alpha-rule on (963) yields:
% 21.71/5.72 | (737) all_0_42_42 = e2
% 21.71/5.72 | (407) ~ (all_0_44_44 = e4)
% 21.71/5.72 |
% 21.71/5.72 | Combining equations (979,737) yields a new equation:
% 21.71/5.72 | (928) e2 = e1
% 21.71/5.72 |
% 21.71/5.72 | Equations (928) can reduce 122 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (969) all_0_53_53 = e4 & ~ (all_0_51_51 = e2)
% 21.71/5.72 |
% 21.71/5.72 | Applying alpha-rule on (969) yields:
% 21.71/5.72 | (409) all_0_53_53 = e4
% 21.71/5.72 | (971) ~ (all_0_51_51 = e2)
% 21.71/5.72 |
% 21.71/5.72 | Combining equations (419,409) yields a new equation:
% 21.71/5.72 | (420) e4 = e3
% 21.71/5.72 |
% 21.71/5.72 | Equations (420) can reduce 199 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (376) ~ (all_0_56_56 = e4)
% 21.71/5.72 | (1123) all_0_56_56 = e3 | all_0_56_56 = e0
% 21.71/5.72 |
% 21.71/5.72 +-Applying beta-rule and splitting (408), into two cases.
% 21.71/5.72 |-Branch one:
% 21.71/5.72 | (409) all_0_53_53 = e4
% 21.71/5.72 |
% 21.71/5.72 | Combining equations (419,409) yields a new equation:
% 21.71/5.72 | (420) e4 = e3
% 21.71/5.72 |
% 21.71/5.72 | Equations (420) can reduce 199 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (522) ~ (all_0_53_53 = e4)
% 21.71/5.72 | (523) all_0_56_56 = e4
% 21.71/5.72 |
% 21.71/5.72 | Equations (523) can reduce 376 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (1696) ~ (all_0_55_55 = e1)
% 21.71/5.72 | (476) all_0_57_57 = e1
% 21.71/5.72 |
% 21.71/5.72 | Combining equations (473,476) yields a new equation:
% 21.71/5.72 | (707) e3 = e1
% 21.71/5.72 |
% 21.71/5.72 | Simplifying 707 yields:
% 21.71/5.72 | (708) e3 = e1
% 21.71/5.72 |
% 21.71/5.72 | Equations (708) can reduce 234 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (283) ~ (all_0_54_54 = e2)
% 21.71/5.72 | (653) all_0_54_54 = e4 | all_0_54_54 = e1 | all_0_54_54 = e0
% 21.71/5.72 |
% 21.71/5.72 +-Applying beta-rule and splitting (711), into two cases.
% 21.71/5.72 |-Branch one:
% 21.71/5.72 | (483) all_0_47_47 = e1
% 21.71/5.72 |
% 21.71/5.72 | Combining equations (483,462) yields a new equation:
% 21.71/5.72 | (484) e4 = e1
% 21.71/5.72 |
% 21.71/5.72 | Equations (484) can reduce 114 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (486) ~ (all_0_47_47 = e1)
% 21.71/5.72 | (1020) all_0_55_55 = e1
% 21.71/5.72 |
% 21.71/5.72 | Equations (1020) can reduce 144 to:
% 21.71/5.72 | (1566) ~ (all_0_54_54 = e1)
% 21.71/5.72 |
% 21.71/5.72 +-Applying beta-rule and splitting (640), into two cases.
% 21.71/5.72 |-Branch one:
% 21.71/5.72 | (523) all_0_56_56 = e4
% 21.71/5.72 |
% 21.71/5.72 | Equations (523) can reduce 190 to:
% 21.71/5.72 | (643) ~ (all_0_54_54 = e4)
% 21.71/5.72 |
% 21.71/5.72 +-Applying beta-rule and splitting (653), into two cases.
% 21.71/5.72 |-Branch one:
% 21.71/5.72 | (717) all_0_54_54 = e4
% 21.71/5.72 |
% 21.71/5.72 | Equations (717) can reduce 643 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (643) ~ (all_0_54_54 = e4)
% 21.71/5.72 | (720) all_0_54_54 = e1 | all_0_54_54 = e0
% 21.71/5.72 |
% 21.71/5.72 +-Applying beta-rule and splitting (720), into two cases.
% 21.71/5.72 |-Branch one:
% 21.71/5.72 | (369) all_0_54_54 = e0
% 21.71/5.72 |
% 21.71/5.72 | Equations (369) can reduce 682 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (682) ~ (all_0_54_54 = e0)
% 21.71/5.72 | (724) all_0_54_54 = e1
% 21.71/5.72 |
% 21.71/5.72 | Equations (724) can reduce 1566 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (376) ~ (all_0_56_56 = e4)
% 21.71/5.72 | (1123) all_0_56_56 = e3 | all_0_56_56 = e0
% 21.71/5.72 |
% 21.71/5.72 +-Applying beta-rule and splitting (1123), into two cases.
% 21.71/5.72 |-Branch one:
% 21.71/5.72 | (538) all_0_56_56 = e0
% 21.71/5.72 |
% 21.71/5.72 | Equations (538) can reduce 374 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (374) ~ (all_0_56_56 = e0)
% 21.71/5.72 | (423) all_0_56_56 = e3
% 21.71/5.72 |
% 21.71/5.72 | Equations (423) can reduce 596 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (785) ~ (all_0_42_42 = e1)
% 21.71/5.72 | (1997) all_0_43_43 = e1 | all_0_45_45 = e1
% 21.71/5.72 |
% 21.71/5.72 +-Applying beta-rule and splitting (186), into two cases.
% 21.71/5.72 |-Branch one:
% 21.71/5.72 | (979) all_0_42_42 = e1
% 21.71/5.72 |
% 21.71/5.72 | Equations (979) can reduce 785 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (785) ~ (all_0_42_42 = e1)
% 21.71/5.72 | (724) all_0_54_54 = e1
% 21.71/5.72 |
% 21.71/5.72 +-Applying beta-rule and splitting (1196), into two cases.
% 21.71/5.72 |-Branch one:
% 21.71/5.72 | (276) all_0_51_51 = e2
% 21.71/5.72 |
% 21.71/5.72 | Combining equations (654,276) yields a new equation:
% 21.71/5.72 | (553) e4 = e2
% 21.71/5.72 |
% 21.71/5.72 | Simplifying 553 yields:
% 21.71/5.72 | (504) e4 = e2
% 21.71/5.72 |
% 21.71/5.72 | Equations (504) can reduce 42 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (971) ~ (all_0_51_51 = e2)
% 21.71/5.72 | (600) all_0_54_54 = e2
% 21.71/5.72 |
% 21.71/5.72 | Combining equations (724,600) yields a new equation:
% 21.71/5.72 | (928) e2 = e1
% 21.71/5.72 |
% 21.71/5.72 | Equations (928) can reduce 122 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (261) ~ (all_0_44_44 = e2)
% 21.71/5.72 | (1634) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e0
% 21.71/5.72 |
% 21.71/5.72 +-Applying beta-rule and splitting (66), into two cases.
% 21.71/5.72 |-Branch one:
% 21.71/5.72 | (737) all_0_42_42 = e2
% 21.71/5.72 |
% 21.71/5.72 +-Applying beta-rule and splitting (186), into two cases.
% 21.71/5.72 |-Branch one:
% 21.71/5.72 | (979) all_0_42_42 = e1
% 21.71/5.72 |
% 21.71/5.72 | Combining equations (737,979) yields a new equation:
% 21.71/5.72 | (1250) e2 = e1
% 21.71/5.72 |
% 21.71/5.72 | Simplifying 1250 yields:
% 21.71/5.72 | (928) e2 = e1
% 21.71/5.72 |
% 21.71/5.72 | Equations (928) can reduce 122 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (785) ~ (all_0_42_42 = e1)
% 21.71/5.72 | (724) all_0_54_54 = e1
% 21.71/5.72 |
% 21.71/5.72 | Equations (724) can reduce 144 to:
% 21.71/5.72 | (2474) ~ (all_0_55_55 = e1)
% 21.71/5.72 |
% 21.71/5.72 | Simplifying 2474 yields:
% 21.71/5.72 | (1696) ~ (all_0_55_55 = e1)
% 21.71/5.72 |
% 21.71/5.72 | Equations (724) can reduce 190 to:
% 21.71/5.72 | (2979) ~ (all_0_56_56 = e1)
% 21.71/5.72 |
% 21.71/5.72 | Simplifying 2979 yields:
% 21.71/5.72 | (58) ~ (all_0_56_56 = e1)
% 21.71/5.72 |
% 21.71/5.72 +-Applying beta-rule and splitting (408), into two cases.
% 21.71/5.72 |-Branch one:
% 21.71/5.72 | (409) all_0_53_53 = e4
% 21.71/5.72 |
% 21.71/5.72 | Combining equations (419,409) yields a new equation:
% 21.71/5.72 | (420) e4 = e3
% 21.71/5.72 |
% 21.71/5.72 | Equations (420) can reduce 199 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (522) ~ (all_0_53_53 = e4)
% 21.71/5.72 | (523) all_0_56_56 = e4
% 21.71/5.72 |
% 21.71/5.72 | Equations (523) can reduce 58 to:
% 21.71/5.72 | (114) ~ (e4 = e1)
% 21.71/5.72 |
% 21.71/5.72 +-Applying beta-rule and splitting (711), into two cases.
% 21.71/5.72 |-Branch one:
% 21.71/5.72 | (483) all_0_47_47 = e1
% 21.71/5.72 |
% 21.71/5.72 | Combining equations (462,483) yields a new equation:
% 21.71/5.72 | (858) e4 = e1
% 21.71/5.72 |
% 21.71/5.72 | Simplifying 858 yields:
% 21.71/5.72 | (484) e4 = e1
% 21.71/5.72 |
% 21.71/5.72 | Equations (484) can reduce 114 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (486) ~ (all_0_47_47 = e1)
% 21.71/5.72 | (1020) all_0_55_55 = e1
% 21.71/5.72 |
% 21.71/5.72 | Equations (1020) can reduce 1696 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (277) ~ (all_0_42_42 = e2)
% 21.71/5.72 | (740) all_0_43_43 = e2 | all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2
% 21.71/5.72 |
% 21.71/5.72 +-Applying beta-rule and splitting (145), into two cases.
% 21.71/5.72 |-Branch one:
% 21.71/5.72 | (737) all_0_42_42 = e2
% 21.71/5.72 |
% 21.71/5.72 | Equations (737) can reduce 277 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (277) ~ (all_0_42_42 = e2)
% 21.71/5.72 | (1196) all_0_51_51 = e2 | all_0_54_54 = e2
% 21.71/5.72 |
% 21.71/5.72 +-Applying beta-rule and splitting (1196), into two cases.
% 21.71/5.72 |-Branch one:
% 21.71/5.72 | (276) all_0_51_51 = e2
% 21.71/5.72 |
% 21.71/5.72 | Combining equations (654,276) yields a new equation:
% 21.71/5.72 | (553) e4 = e2
% 21.71/5.72 |
% 21.71/5.72 | Simplifying 553 yields:
% 21.71/5.72 | (504) e4 = e2
% 21.71/5.72 |
% 21.71/5.72 | Equations (504) can reduce 42 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (971) ~ (all_0_51_51 = e2)
% 21.71/5.72 | (600) all_0_54_54 = e2
% 21.71/5.72 |
% 21.71/5.72 | Equations (600) can reduce 190 to:
% 21.71/5.72 | (269) ~ (all_0_56_56 = e2)
% 21.71/5.72 |
% 21.71/5.72 | Simplifying 269 yields:
% 21.71/5.72 | (270) ~ (all_0_56_56 = e2)
% 21.71/5.72 |
% 21.71/5.72 | Equations (600) can reduce 206 to:
% 21.71/5.72 | (284) ~ (e3 = e2)
% 21.71/5.72 |
% 21.71/5.72 | Simplifying 284 yields:
% 21.71/5.72 | (231) ~ (e3 = e2)
% 21.71/5.72 |
% 21.71/5.72 | Equations (600) can reduce 682 to:
% 21.71/5.72 | (133) ~ (e2 = e0)
% 21.71/5.72 |
% 21.71/5.72 +-Applying beta-rule and splitting (408), into two cases.
% 21.71/5.72 |-Branch one:
% 21.71/5.72 | (409) all_0_53_53 = e4
% 21.71/5.72 |
% 21.71/5.72 | Combining equations (419,409) yields a new equation:
% 21.71/5.72 | (420) e4 = e3
% 21.71/5.72 |
% 21.71/5.72 | Equations (420) can reduce 199 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (522) ~ (all_0_53_53 = e4)
% 21.71/5.72 | (523) all_0_56_56 = e4
% 21.71/5.72 |
% 21.71/5.72 | Equations (523) can reduce 270 to:
% 21.71/5.72 | (42) ~ (e4 = e2)
% 21.71/5.72 |
% 21.71/5.72 +-Applying beta-rule and splitting (121), into two cases.
% 21.71/5.72 |-Branch one:
% 21.71/5.72 | (747) all_0_44_44 = e2
% 21.71/5.72 |
% 21.71/5.72 | Equations (747) can reduce 261 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (261) ~ (all_0_44_44 = e2)
% 21.71/5.72 | (3570) all_0_48_48 = e2 | all_0_53_53 = e2 | all_0_56_56 = e2
% 21.71/5.72 |
% 21.71/5.72 +-Applying beta-rule and splitting (740), into two cases.
% 21.71/5.72 |-Branch one:
% 21.71/5.72 | (439) all_0_43_43 = e2
% 21.71/5.72 |
% 21.71/5.72 | Combining equations (513,439) yields a new equation:
% 21.71/5.72 | (345) e2 = e0
% 21.71/5.72 |
% 21.71/5.72 | Equations (345) can reduce 133 to:
% 21.71/5.72 | (301) $false
% 21.71/5.72 |
% 21.71/5.72 |-The branch is then unsatisfiable
% 21.71/5.72 |-Branch two:
% 21.71/5.72 | (275) ~ (all_0_43_43 = e2)
% 21.71/5.72 | (746) all_0_44_44 = e2 | all_0_45_45 = e2 | all_0_46_46 = e2
% 21.71/5.72 |
% 21.71/5.73 +-Applying beta-rule and splitting (746), into two cases.
% 21.71/5.73 |-Branch one:
% 21.71/5.73 | (747) all_0_44_44 = e2
% 21.71/5.73 |
% 21.71/5.73 | Equations (747) can reduce 261 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (261) ~ (all_0_44_44 = e2)
% 21.71/5.73 | (751) all_0_45_45 = e2 | all_0_46_46 = e2
% 21.71/5.73 |
% 21.71/5.73 +-Applying beta-rule and splitting (751), into two cases.
% 21.71/5.73 |-Branch one:
% 21.71/5.73 | (752) all_0_45_45 = e2
% 21.71/5.73 |
% 21.71/5.73 | Combining equations (481,752) yields a new equation:
% 21.71/5.73 | (553) e4 = e2
% 21.71/5.73 |
% 21.71/5.73 | Simplifying 553 yields:
% 21.71/5.73 | (504) e4 = e2
% 21.71/5.73 |
% 21.71/5.73 | Equations (504) can reduce 42 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (730) ~ (all_0_45_45 = e2)
% 21.71/5.73 | (571) all_0_46_46 = e2
% 21.71/5.73 |
% 21.71/5.73 | Combining equations (570,571) yields a new equation:
% 21.71/5.73 | (572) e3 = e2
% 21.71/5.73 |
% 21.71/5.73 | Simplifying 572 yields:
% 21.71/5.73 | (573) e3 = e2
% 21.71/5.73 |
% 21.71/5.73 | Equations (573) can reduce 231 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (489) ~ (all_0_45_45 = e4)
% 21.71/5.73 | (490) all_0_49_49 = e4 | all_0_57_57 = e4
% 21.71/5.73 |
% 21.71/5.73 +-Applying beta-rule and splitting (28), into two cases.
% 21.71/5.73 |-Branch one:
% 21.71/5.73 | (979) all_0_42_42 = e1
% 21.71/5.73 |
% 21.71/5.73 | Equations (979) can reduce 208 to:
% 21.71/5.73 | (3832) ~ (all_0_45_45 = e1)
% 21.71/5.73 |
% 21.71/5.73 | Simplifying 3832 yields:
% 21.71/5.73 | (477) ~ (all_0_45_45 = e1)
% 21.71/5.73 |
% 21.71/5.73 +-Applying beta-rule and splitting (2552), into two cases.
% 21.71/5.73 |-Branch one:
% 21.71/5.73 | (481) all_0_45_45 = e4
% 21.71/5.73 |
% 21.71/5.73 | Equations (481) can reduce 489 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (489) ~ (all_0_45_45 = e4)
% 21.71/5.73 | (2556) all_0_45_45 = e3 | all_0_45_45 = e1
% 21.71/5.73 |
% 21.71/5.73 +-Applying beta-rule and splitting (2556), into two cases.
% 21.71/5.73 |-Branch one:
% 21.71/5.73 | (2016) all_0_45_45 = e3
% 21.71/5.73 |
% 21.71/5.73 | Equations (2016) can reduce 770 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (770) ~ (all_0_45_45 = e3)
% 21.71/5.73 | (784) all_0_45_45 = e1
% 21.71/5.73 |
% 21.71/5.73 | Equations (784) can reduce 477 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (785) ~ (all_0_42_42 = e1)
% 21.71/5.73 | (1997) all_0_43_43 = e1 | all_0_45_45 = e1
% 21.71/5.73 |
% 21.71/5.73 +-Applying beta-rule and splitting (186), into two cases.
% 21.71/5.73 |-Branch one:
% 21.71/5.73 | (979) all_0_42_42 = e1
% 21.71/5.73 |
% 21.71/5.73 | Equations (979) can reduce 785 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (785) ~ (all_0_42_42 = e1)
% 21.71/5.73 | (724) all_0_54_54 = e1
% 21.71/5.73 |
% 21.71/5.73 | Equations (724) can reduce 682 to:
% 21.71/5.73 | (247) ~ (e1 = e0)
% 21.71/5.73 |
% 21.71/5.73 +-Applying beta-rule and splitting (1997), into two cases.
% 21.71/5.73 |-Branch one:
% 21.71/5.73 | (706) all_0_43_43 = e1
% 21.71/5.73 |
% 21.71/5.73 | Combining equations (513,706) yields a new equation:
% 21.71/5.73 | (935) e1 = e0
% 21.71/5.73 |
% 21.71/5.73 | Equations (935) can reduce 247 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (710) ~ (all_0_43_43 = e1)
% 21.71/5.73 | (784) all_0_45_45 = e1
% 21.71/5.73 |
% 21.71/5.73 | Equations (784) can reduce 477 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (497) ~ (all_0_47_47 = e4)
% 21.71/5.73 | (3048) all_0_49_49 = e4 | all_0_50_50 = e4
% 21.71/5.73 |
% 21.71/5.73 +-Applying beta-rule and splitting (3048), into two cases.
% 21.71/5.73 |-Branch one:
% 21.71/5.73 | (491) all_0_49_49 = e4
% 21.71/5.73 |
% 21.71/5.73 | Combining equations (487,491) yields a new equation:
% 21.71/5.73 | (484) e4 = e1
% 21.71/5.73 |
% 21.71/5.73 | Equations (484) can reduce 114 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (464) ~ (all_0_49_49 = e4)
% 21.71/5.73 | (335) all_0_50_50 = e4
% 21.71/5.73 |
% 21.71/5.73 | Combining equations (331,335) yields a new equation:
% 21.71/5.73 | (504) e4 = e2
% 21.71/5.73 |
% 21.71/5.73 | Equations (504) can reduce 42 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (425) ~ (all_0_57_57 = e3)
% 21.71/5.73 | (366) all_0_58_58 = e3
% 21.71/5.73 |
% 21.71/5.73 | Combining equations (366,308) yields a new equation:
% 21.71/5.73 | (414) e3 = e0
% 21.71/5.73 |
% 21.71/5.73 | Simplifying 414 yields:
% 21.71/5.73 | (415) e3 = e0
% 21.71/5.73 |
% 21.71/5.73 | Equations (415) can reduce 81 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (729) ~ (all_0_40_40 = e2)
% 21.71/5.73 | (552) all_0_41_41 = e2
% 21.71/5.73 |
% 21.71/5.73 | Combining equations (545,552) yields a new equation:
% 21.71/5.73 | (553) e4 = e2
% 21.71/5.73 |
% 21.71/5.73 | Simplifying 553 yields:
% 21.71/5.73 | (504) e4 = e2
% 21.71/5.73 |
% 21.71/5.73 | Equations (504) can reduce 42 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (279) ~ (all_0_52_52 = e2)
% 21.71/5.73 | (1680) all_0_52_52 = e4 | all_0_52_52 = e3
% 21.71/5.73 |
% 21.71/5.73 +-Applying beta-rule and splitting (1191), into two cases.
% 21.71/5.73 |-Branch one:
% 21.71/5.73 | (447) all_0_52_52 = e2
% 21.71/5.73 |
% 21.71/5.73 | Equations (447) can reduce 279 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (279) ~ (all_0_52_52 = e2)
% 21.71/5.73 | (1254) all_0_53_53 = e2
% 21.71/5.73 |
% 21.71/5.73 | Combining equations (419,1254) yields a new equation:
% 21.71/5.73 | (572) e3 = e2
% 21.71/5.73 |
% 21.71/5.73 | Simplifying 572 yields:
% 21.71/5.73 | (573) e3 = e2
% 21.71/5.73 |
% 21.71/5.73 | Equations (573) can reduce 231 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (384) ~ (all_0_43_43 = e0)
% 21.71/5.73 | (516) all_0_47_47 = e0 | all_0_55_55 = e0
% 21.71/5.73 |
% 21.71/5.73 +-Applying beta-rule and splitting (516), into two cases.
% 21.71/5.73 |-Branch one:
% 21.71/5.73 | (321) all_0_47_47 = e0
% 21.71/5.73 |
% 21.71/5.73 | Equations (321) can reduce 328 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (328) ~ (all_0_47_47 = e0)
% 21.71/5.73 | (520) all_0_55_55 = e0
% 21.71/5.73 |
% 21.71/5.73 | Equations (520) can reduce 372 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (365) ~ (all_0_58_58 = e0)
% 21.71/5.73 | (366) all_0_58_58 = e3
% 21.71/5.73 |
% 21.71/5.73 | Equations (366) can reduce 293 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (583) ~ (all_0_46_46 = e3)
% 21.71/5.73 | (366) all_0_58_58 = e3
% 21.71/5.73 |
% 21.71/5.73 | Equations (366) can reduce 293 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (366) all_0_58_58 = e3
% 21.71/5.73 | (520) all_0_55_55 = e0
% 21.71/5.73 |
% 21.71/5.73 | Equations (520) can reduce 250 to:
% 21.71/5.73 | (322) ~ (all_0_39_39 = e0)
% 21.71/5.73 |
% 21.71/5.73 | Equations (366) can reduce 184 to:
% 21.71/5.73 | (583) ~ (all_0_46_46 = e3)
% 21.71/5.73 |
% 21.71/5.73 | Equations (520) can reduce 144 to:
% 21.71/5.73 | (682) ~ (all_0_54_54 = e0)
% 21.71/5.73 |
% 21.71/5.73 | Equations (520) can reduce 194 to:
% 21.71/5.73 | (373) ~ (all_0_56_56 = e0)
% 21.71/5.73 |
% 21.71/5.73 | Simplifying 373 yields:
% 21.71/5.73 | (374) ~ (all_0_56_56 = e0)
% 21.71/5.73 |
% 21.71/5.73 | Equations (520,366) can reduce 116 to:
% 21.71/5.73 | (392) ~ (e3 = e0)
% 21.71/5.73 |
% 21.71/5.73 | Simplifying 392 yields:
% 21.71/5.73 | (81) ~ (e3 = e0)
% 21.71/5.73 |
% 21.71/5.73 | Equations (366) can reduce 2 to:
% 21.71/5.73 | (596) ~ (all_0_56_56 = e3)
% 21.71/5.73 |
% 21.71/5.73 +-Applying beta-rule and splitting (30), into two cases.
% 21.71/5.73 |-Branch one:
% 21.71/5.73 | (976) all_0_42_42 = e0
% 21.71/5.73 |
% 21.71/5.73 | Equations (976) can reduce 680 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (680) ~ (all_0_42_42 = e0)
% 21.71/5.73 | (1978) all_0_43_43 = e0 | all_0_44_44 = e0 | all_0_46_46 = e0
% 21.71/5.73 |
% 21.71/5.73 +-Applying beta-rule and splitting (96), into two cases.
% 21.71/5.73 |-Branch one:
% 21.71/5.73 | (326) all_0_41_41 = e0
% 21.71/5.73 |
% 21.71/5.73 | Combining equations (545,326) yields a new equation:
% 21.71/5.73 | (316) e4 = e0
% 21.71/5.73 |
% 21.71/5.73 | Simplifying 316 yields:
% 21.71/5.73 | (317) e4 = e0
% 21.71/5.73 |
% 21.71/5.73 | Equations (317) can reduce 43 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (309) ~ (all_0_41_41 = e0)
% 21.71/5.73 | (1650) all_0_46_46 = e0 | all_0_50_50 = e0 | all_0_58_58 = e0
% 21.71/5.73 |
% 21.71/5.73 +-Applying beta-rule and splitting (83), into two cases.
% 21.71/5.73 |-Branch one:
% 21.71/5.73 | (428) all_0_39_39 = e4
% 21.71/5.73 |
% 21.71/5.73 | Equations (428) can reduce 296 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (296) ~ (all_0_39_39 = e4)
% 21.71/5.73 | (431) all_0_47_47 = e4 | all_0_52_52 = e4 | all_0_55_55 = e4
% 21.71/5.73 |
% 21.71/5.73 +-Applying beta-rule and splitting (431), into two cases.
% 21.71/5.73 |-Branch one:
% 21.71/5.73 | (462) all_0_47_47 = e4
% 21.71/5.73 |
% 21.71/5.73 | Equations (462) can reduce 157 to:
% 21.71/5.73 | (296) ~ (all_0_39_39 = e4)
% 21.71/5.73 |
% 21.71/5.73 | Equations (462) can reduce 93 to:
% 21.71/5.73 | (463) ~ (all_0_49_49 = e4)
% 21.71/5.73 |
% 21.71/5.73 | Simplifying 463 yields:
% 21.71/5.73 | (464) ~ (all_0_49_49 = e4)
% 21.71/5.73 |
% 21.71/5.73 | Equations (462) can reduce 101 to:
% 21.71/5.73 | (8522) ~ (all_0_52_52 = e4)
% 21.71/5.73 |
% 21.71/5.73 | Simplifying 8522 yields:
% 21.71/5.73 | (410) ~ (all_0_52_52 = e4)
% 21.71/5.73 |
% 21.71/5.73 | Equations (462) can reduce 49 to:
% 21.71/5.73 | (199) ~ (e4 = e3)
% 21.71/5.73 |
% 21.71/5.73 | From (462) and (142) follows:
% 21.71/5.73 | (3346) op(e4, e3) = all_0_17_17
% 21.71/5.73 |
% 21.71/5.73 | From (462) and (62) follows:
% 21.71/5.73 | (4152) op(e2, e3) = e4
% 21.71/5.73 |
% 21.71/5.73 +-Applying beta-rule and splitting (100), into two cases.
% 21.71/5.73 |-Branch one:
% 21.71/5.73 | (571) all_0_46_46 = e2
% 21.71/5.73 |
% 21.71/5.73 | Equations (571) can reduce 575 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (575) ~ (all_0_46_46 = e2)
% 21.71/5.73 | (2113) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e0
% 21.71/5.73 |
% 21.71/5.73 +-Applying beta-rule and splitting (2113), into two cases.
% 21.71/5.73 |-Branch one:
% 21.71/5.73 | (1056) all_0_46_46 = e4
% 21.71/5.73 |
% 21.71/5.73 | Equations (1056) can reduce 1083 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (1083) ~ (all_0_46_46 = e4)
% 21.71/5.73 | (2395) all_0_46_46 = e3 | all_0_46_46 = e0
% 21.71/5.73 |
% 21.71/5.73 +-Applying beta-rule and splitting (220), into two cases.
% 21.71/5.73 |-Branch one:
% 21.71/5.73 | (706) all_0_43_43 = e1
% 21.71/5.73 |
% 21.71/5.73 | Equations (706) can reduce 8 to:
% 21.71/5.73 | (785) ~ (all_0_42_42 = e1)
% 21.71/5.73 |
% 21.71/5.73 | Equations (706) can reduce 77 to:
% 21.71/5.73 | (3830) ~ (all_0_44_44 = e1)
% 21.71/5.73 |
% 21.71/5.73 | Simplifying 3830 yields:
% 21.71/5.73 | (55) ~ (all_0_44_44 = e1)
% 21.71/5.73 |
% 21.71/5.73 | From (706) and (249) follows:
% 21.71/5.73 | (10354) op(e3, e3) = e1
% 21.71/5.73 |
% 21.71/5.73 +-Applying beta-rule and splitting (136), into two cases.
% 21.71/5.73 |-Branch one:
% 21.71/5.73 | (710) ~ (all_0_43_43 = e1)
% 21.71/5.73 |
% 21.71/5.73 | Equations (706) can reduce 710 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (706) all_0_43_43 = e1
% 21.71/5.73 | (2016) all_0_45_45 = e3
% 21.71/5.73 |
% 21.71/5.73 | Equations (2016) can reduce 108 to:
% 21.71/5.73 | (994) ~ (all_0_40_40 = e3)
% 21.71/5.73 |
% 21.71/5.73 | Equations (2016) can reduce 23 to:
% 21.71/5.73 | (3300) ~ (all_0_49_49 = e3)
% 21.71/5.73 |
% 21.71/5.73 | Simplifying 3300 yields:
% 21.71/5.73 | (191) ~ (all_0_49_49 = e3)
% 21.71/5.73 |
% 21.71/5.73 | Equations (2016) can reduce 163 to:
% 21.71/5.73 | (81) ~ (e3 = e0)
% 21.71/5.73 |
% 21.71/5.73 | From (2016) and (50) follows:
% 21.71/5.73 | (10363) op(e3, e3) = all_0_12_12
% 21.71/5.73 |
% 21.71/5.73 +-Applying beta-rule and splitting (186), into two cases.
% 21.71/5.73 |-Branch one:
% 21.71/5.73 | (979) all_0_42_42 = e1
% 21.71/5.73 |
% 21.71/5.73 | Equations (979) can reduce 785 to:
% 21.71/5.73 | (301) $false
% 21.71/5.73 |
% 21.71/5.73 |-The branch is then unsatisfiable
% 21.71/5.73 |-Branch two:
% 21.71/5.73 | (785) ~ (all_0_42_42 = e1)
% 21.71/5.73 | (724) all_0_54_54 = e1
% 21.71/5.73 |
% 21.71/5.73 | Equations (724) can reduce 181 to:
% 21.71/5.73 | (785) ~ (all_0_42_42 = e1)
% 21.71/5.73 |
% 21.71/5.73 | Equations (724) can reduce 682 to:
% 21.71/5.73 | (247) ~ (e1 = e0)
% 21.71/5.73 |
% 21.71/5.73 | From (724) and (52) follows:
% 21.71/5.73 | (727) op(e1, e4) = all_0_30_30
% 21.71/5.73 |
% 21.71/5.73 +-Applying beta-rule and splitting (145), into two cases.
% 21.71/5.73 |-Branch one:
% 21.71/5.73 | (737) all_0_42_42 = e2
% 21.71/5.73 |
% 21.71/5.73 | From (737) and (105) follows:
% 21.71/5.73 | (10372) op(e2, e3) = all_0_7_7
% 21.71/5.73 |
% 21.71/5.73 +-Applying beta-rule and splitting (1978), into two cases.
% 21.71/5.73 |-Branch one:
% 21.71/5.74 | (513) all_0_43_43 = e0
% 21.71/5.74 |
% 21.71/5.74 | Combining equations (706,513) yields a new equation:
% 21.71/5.74 | (934) e1 = e0
% 21.71/5.74 |
% 21.71/5.74 | Simplifying 934 yields:
% 21.71/5.74 | (935) e1 = e0
% 21.71/5.74 |
% 21.71/5.74 | Equations (935) can reduce 247 to:
% 21.71/5.74 | (301) $false
% 21.71/5.74 |
% 21.71/5.74 |-The branch is then unsatisfiable
% 21.71/5.74 |-Branch two:
% 21.71/5.74 | (384) ~ (all_0_43_43 = e0)
% 21.71/5.74 | (1990) all_0_44_44 = e0 | all_0_46_46 = e0
% 21.71/5.74 |
% 21.71/5.74 +-Applying beta-rule and splitting (1990), into two cases.
% 21.71/5.74 |-Branch one:
% 21.71/5.74 | (383) all_0_44_44 = e0
% 21.71/5.74 |
% 21.71/5.74 | Equations (383) can reduce 525 to:
% 21.71/5.74 | (301) $false
% 21.71/5.74 |
% 21.71/5.74 |-The branch is then unsatisfiable
% 21.71/5.74 |-Branch two:
% 21.71/5.74 | (525) ~ (all_0_44_44 = e0)
% 21.71/5.74 | (1651) all_0_46_46 = e0
% 21.71/5.74 |
% 21.71/5.74 | Equations (1651) can reduce 18 to:
% 21.71/5.74 | (525) ~ (all_0_44_44 = e0)
% 21.71/5.74 |
% 21.71/5.74 +-Applying beta-rule and splitting (233), into two cases.
% 21.71/5.74 |-Branch one:
% 21.71/5.74 | (465) all_0_40_40 = e4
% 21.71/5.74 |
% 21.71/5.74 | Equations (465) can reduce 298 to:
% 21.71/5.74 | (301) $false
% 21.71/5.74 |
% 21.71/5.74 |-The branch is then unsatisfiable
% 21.71/5.74 |-Branch two:
% 21.71/5.74 | (298) ~ (all_0_40_40 = e4)
% 21.71/5.74 | (468) all_0_45_45 = e4 | all_0_49_49 = e4 | all_0_57_57 = e4
% 21.71/5.74 |
% 21.71/5.74 +-Applying beta-rule and splitting (468), into two cases.
% 21.71/5.74 |-Branch one:
% 21.71/5.74 | (481) all_0_45_45 = e4
% 21.71/5.74 |
% 21.71/5.74 | Combining equations (2016,481) yields a new equation:
% 21.71/5.74 | (420) e4 = e3
% 21.71/5.74 |
% 21.71/5.74 | Equations (420) can reduce 199 to:
% 21.71/5.74 | (301) $false
% 21.71/5.74 |
% 21.71/5.74 |-The branch is then unsatisfiable
% 21.71/5.74 |-Branch two:
% 21.71/5.74 | (489) ~ (all_0_45_45 = e4)
% 21.71/5.74 | (490) all_0_49_49 = e4 | all_0_57_57 = e4
% 21.71/5.74 |
% 21.71/5.74 +-Applying beta-rule and splitting (490), into two cases.
% 21.71/5.74 |-Branch one:
% 21.71/5.74 | (491) all_0_49_49 = e4
% 21.71/5.74 |
% 21.71/5.74 | Equations (491) can reduce 464 to:
% 21.71/5.74 | (301) $false
% 21.71/5.74 |
% 21.71/5.74 |-The branch is then unsatisfiable
% 21.71/5.74 |-Branch two:
% 21.71/5.74 | (464) ~ (all_0_49_49 = e4)
% 21.71/5.74 | (469) all_0_57_57 = e4
% 21.71/5.74 |
% 21.71/5.74 | Equations (469) can reduce 94 to:
% 21.71/5.74 | (464) ~ (all_0_49_49 = e4)
% 21.71/5.74 |
% 21.71/5.74 | Equations (469) can reduce 243 to:
% 21.71/5.74 | (376) ~ (all_0_56_56 = e4)
% 21.71/5.74 |
% 21.71/5.74 | From (469) and (73) follows:
% 21.71/5.74 | (3359) op(e4, e1) = all_0_36_36
% 21.71/5.74 |
% 21.71/5.74 +-Applying beta-rule and splitting (179), into two cases.
% 21.71/5.74 |-Branch one:
% 21.71/5.74 | (637) all_0_56_56 = e2
% 21.71/5.74 |
% 21.71/5.74 | Equations (637) can reduce 192 to:
% 21.71/5.74 | (268) ~ (all_0_53_53 = e2)
% 21.71/5.74 |
% 21.71/5.74 | Equations (637) can reduce 376 to:
% 21.71/5.74 | (271) ~ (e4 = e2)
% 21.71/5.74 |
% 21.71/5.74 | Simplifying 271 yields:
% 21.71/5.74 | (42) ~ (e4 = e2)
% 21.71/5.74 |
% 21.71/5.74 +-Applying beta-rule and splitting (56), into two cases.
% 21.71/5.74 |-Branch one:
% 21.71/5.74 | (1254) all_0_53_53 = e2
% 21.71/5.74 |
% 21.71/5.74 | Equations (1254) can reduce 268 to:
% 21.71/5.74 | (301) $false
% 21.71/5.74 |
% 21.71/5.74 |-The branch is then unsatisfiable
% 21.71/5.74 |-Branch two:
% 21.71/5.74 | (268) ~ (all_0_53_53 = e2)
% 21.71/5.74 | (1307) all_0_53_53 = e4 | all_0_53_53 = e3
% 21.71/5.74 |
% 21.71/5.74 +-Applying beta-rule and splitting (1307), into two cases.
% 21.71/5.74 |-Branch one:
% 21.71/5.74 | (409) all_0_53_53 = e4
% 21.71/5.74 |
% 21.71/5.74 | Equations (409) can reduce 522 to:
% 21.71/5.74 | (301) $false
% 21.71/5.74 |
% 21.71/5.74 |-The branch is then unsatisfiable
% 21.71/5.74 |-Branch two:
% 21.71/5.74 | (522) ~ (all_0_53_53 = e4)
% 21.71/5.74 | (419) all_0_53_53 = e3
% 21.71/5.74 |
% 21.71/5.74 | Equations (419) can reduce 522 to:
% 21.71/5.74 | (426) ~ (e4 = e3)
% 21.71/5.74 |
% 21.71/5.74 | Simplifying 426 yields:
% 21.71/5.74 | (199) ~ (e4 = e3)
% 21.71/5.74 |
% 21.71/5.74 | Equations (419) can reduce 268 to:
% 21.71/5.74 | (231) ~ (e3 = e2)
% 21.71/5.74 |
% 21.71/5.74 | From (419) and (118) follows:
% 21.71/5.74 | (675) op(e3, e2) = all_0_28_28
% 21.71/5.74 |
% 21.71/5.74 +-Applying beta-rule and splitting (92), into two cases.
% 21.71/5.74 |-Branch one:
% 21.71/5.74 | (276) all_0_51_51 = e2
% 21.71/5.74 |
% 21.71/5.74 | Combining equations (654,276) yields a new equation:
% 21.71/5.74 | (553) e4 = e2
% 21.71/5.74 |
% 21.71/5.74 | Simplifying 553 yields:
% 21.71/5.74 | (504) e4 = e2
% 21.71/5.74 |
% 21.71/5.74 | Equations (504) can reduce 42 to:
% 21.71/5.74 | (301) $false
% 21.71/5.74 |
% 21.71/5.74 |-The branch is then unsatisfiable
% 21.71/5.74 |-Branch two:
% 21.71/5.74 | (971) ~ (all_0_51_51 = e2)
% 21.71/5.74 | (1191) all_0_52_52 = e2 | all_0_53_53 = e2
% 21.71/5.74 |
% 21.71/5.74 +-Applying beta-rule and splitting (21), into two cases.
% 21.71/5.74 |-Branch one:
% 21.71/5.74 | (403) all_0_44_44 = e4
% 21.71/5.74 |
% 21.71/5.74 | Equations (403) can reduce 55 to:
% 21.71/5.74 | (114) ~ (e4 = e1)
% 21.71/5.74 |
% 21.71/5.74 | Equations (403) can reduce 525 to:
% 21.71/5.74 | (43) ~ (e4 = e0)
% 21.71/5.74 |
% 21.71/5.74 | From (403) and (130) follows:
% 21.71/5.74 | (1682) op(e4, e3) = all_0_10_10
% 21.71/5.74 |
% 21.71/5.74 | From (403) and (185) follows:
% 21.71/5.74 | (1683) op(e4, e2) = all_0_11_11
% 21.71/5.74 |
% 21.71/5.74 | From (403) and (165) follows:
% 21.71/5.74 | (1684) op(e3, e2) = e4
% 21.71/5.74 |
% 21.71/5.74 +-Applying beta-rule and splitting (1191), into two cases.
% 21.71/5.74 |-Branch one:
% 21.71/5.74 | (447) all_0_52_52 = e2
% 21.71/5.74 |
% 21.71/5.74 | Equations (447) can reduce 129 to:
% 21.71/5.74 | (347) ~ (all_0_39_39 = e2)
% 21.71/5.74 |
% 21.71/5.74 | Equations (447) can reduce 410 to:
% 21.71/5.74 | (271) ~ (e4 = e2)
% 21.71/5.74 |
% 21.71/5.74 | Simplifying 271 yields:
% 21.71/5.74 | (42) ~ (e4 = e2)
% 21.71/5.74 |
% 21.71/5.74 | From (447) and (218) follows:
% 21.71/5.74 | (9589) op(e2, e3) = all_0_26_26
% 21.71/5.74 |
% 21.71/5.74 +-Applying beta-rule and splitting (254), into two cases.
% 21.71/5.74 |-Branch one:
% 21.71/5.74 | (1380) all_0_40_40 = e2
% 21.71/5.74 |
% 21.71/5.74 | Equations (1380) can reduce 31 to:
% 21.71/5.74 | (347) ~ (all_0_39_39 = e2)
% 21.71/5.74 |
% 21.71/5.74 | Equations (1380) can reduce 171 to:
% 21.71/5.74 | (133) ~ (e2 = e0)
% 21.71/5.74 |
% 21.71/5.74 | From (1380) and (252) follows:
% 21.71/5.74 | (2599) op(e2, e1) = all_0_4_4
% 21.71/5.74 |
% 21.71/5.74 | From (1380) and (117) follows:
% 21.71/5.74 | (2906) op(e4, e1) = e2
% 21.71/5.74 |
% 21.71/5.74 +-Applying beta-rule and splitting (123), into two cases.
% 21.71/5.74 |-Branch one:
% 21.71/5.74 | (694) all_0_39_39 = e3
% 21.71/5.74 |
% 21.71/5.74 | Equations (694) can reduce 296 to:
% 21.71/5.74 | (426) ~ (e4 = e3)
% 21.71/5.74 |
% 21.71/5.74 | Simplifying 426 yields:
% 21.71/5.74 | (199) ~ (e4 = e3)
% 21.71/5.74 |
% 21.71/5.74 | Equations (694) can reduce 347 to:
% 21.71/5.74 | (231) ~ (e3 = e2)
% 21.71/5.74 |
% 21.71/5.74 | From (694) and (112) follows:
% 21.71/5.74 | (5478) op(e3, e3) = all_0_2_2
% 21.71/5.74 |
% 21.71/5.74 | From (694) and (154) follows:
% 21.71/5.74 | (9621) op(e4, e3) = e3
% 21.71/5.74 |
% 21.71/5.74 +-Applying beta-rule and splitting (209), into two cases.
% 21.71/5.74 |-Branch one:
% 21.71/5.74 | (483) all_0_47_47 = e1
% 21.71/5.74 |
% 21.71/5.74 | Combining equations (462,483) yields a new equation:
% 21.71/5.74 | (858) e4 = e1
% 21.71/5.74 |
% 21.71/5.74 | Simplifying 858 yields:
% 21.71/5.74 | (484) e4 = e1
% 21.71/5.74 |
% 21.71/5.74 | Equations (484) can reduce 114 to:
% 21.71/5.74 | (301) $false
% 21.71/5.74 |
% 21.71/5.74 |-The branch is then unsatisfiable
% 21.71/5.74 |-Branch two:
% 21.71/5.74 | (486) ~ (all_0_47_47 = e1)
% 21.71/5.74 | (487) all_0_49_49 = e1
% 21.71/5.74 |
% 21.71/5.74 | Equations (487) can reduce 464 to:
% 21.71/5.74 | (479) ~ (e4 = e1)
% 21.71/5.74 |
% 21.71/5.74 | Simplifying 479 yields:
% 21.71/5.74 | (114) ~ (e4 = e1)
% 21.71/5.74 |
% 21.71/5.74 | Equations (487) can reduce 191 to:
% 21.71/5.74 | (786) ~ (e3 = e1)
% 21.71/5.74 |
% 21.71/5.74 | Simplifying 786 yields:
% 21.71/5.74 | (234) ~ (e3 = e1)
% 21.71/5.74 |
% 21.71/5.74 | Equations (487) can reduce 241 to:
% 21.71/5.74 | (247) ~ (e1 = e0)
% 21.71/5.74 |
% 21.71/5.74 | From (487) and (162) follows:
% 21.71/5.74 | (3316) op(e1, e1) = all_0_20_20
% 21.71/5.74 |
% 21.71/5.74 | From (487) and (193) follows:
% 21.71/5.74 | (2664) op(e2, e1) = e1
% 21.71/5.74 |
% 21.71/5.74 | Instantiating formula (151) with e4, e3, all_0_17_17, all_0_10_10 and discharging atoms op(e4, e3) = all_0_10_10, op(e4, e3) = all_0_17_17, yields:
% 21.71/5.74 | (10457) all_0_10_10 = all_0_17_17
% 21.71/5.74 |
% 21.71/5.74 | Instantiating formula (151) with e4, e3, e3, all_0_10_10 and discharging atoms op(e4, e3) = all_0_10_10, op(e4, e3) = e3, yields:
% 21.71/5.74 | (10458) all_0_10_10 = e3
% 21.71/5.74 |
% 21.71/5.74 | Instantiating formula (151) with e4, e2, all_0_11_11, e1 and discharging atoms op(e4, e2) = all_0_11_11, op(e4, e2) = e1, yields:
% 21.71/5.74 | (1721) all_0_11_11 = e1
% 21.71/5.74 |
% 21.71/5.74 | Instantiating formula (151) with e4, e1, e2, all_0_36_36 and discharging atoms op(e4, e1) = all_0_36_36, op(e4, e1) = e2, yields:
% 21.71/5.74 | (3373) all_0_36_36 = e2
% 21.71/5.74 |
% 21.71/5.74 | Instantiating formula (151) with e3, e3, all_0_12_12, all_0_2_2 and discharging atoms op(e3, e3) = all_0_2_2, op(e3, e3) = all_0_12_12, yields:
% 21.71/5.74 | (1727) all_0_2_2 = all_0_12_12
% 21.71/5.74 |
% 21.71/5.74 | Instantiating formula (151) with e3, e3, e1, all_0_2_2 and discharging atoms op(e3, e3) = all_0_2_2, op(e3, e3) = e1, yields:
% 21.71/5.74 | (812) all_0_2_2 = e1
% 21.71/5.74 |
% 21.71/5.74 | Instantiating formula (151) with e3, e2, e4, all_0_28_28 and discharging atoms op(e3, e2) = all_0_28_28, op(e3, e2) = e4, yields:
% 21.71/5.74 | (1724) all_0_28_28 = e4
% 21.71/5.74 |
% 21.71/5.74 | Instantiating formula (151) with e2, e3, all_0_26_26, all_0_7_7 and discharging atoms op(e2, e3) = all_0_7_7, op(e2, e3) = all_0_26_26, yields:
% 21.71/5.74 | (803) all_0_7_7 = all_0_26_26
% 21.71/5.74 |
% 21.71/5.74 | Instantiating formula (151) with e2, e3, e4, all_0_7_7 and discharging atoms op(e2, e3) = all_0_7_7, op(e2, e3) = e4, yields:
% 21.71/5.74 | (1732) all_0_7_7 = e4
% 21.71/5.74 |
% 21.71/5.74 | Instantiating formula (151) with e2, e1, e1, all_0_4_4 and discharging atoms op(e2, e1) = all_0_4_4, op(e2, e1) = e1, yields:
% 21.71/5.74 | (810) all_0_4_4 = e1
% 21.71/5.74 |
% 21.71/5.74 | Instantiating formula (151) with e1, e4, all_0_30_30, e4 and discharging atoms op(e1, e4) = all_0_30_30, op(e1, e4) = e4, yields:
% 21.71/5.74 | (2642) all_0_30_30 = e4
% 21.71/5.74 |
% 21.71/5.74 | Instantiating formula (151) with e1, e1, all_0_20_20, e0 and discharging atoms op(e1, e1) = all_0_20_20, op(e1, e1) = e0, yields:
% 21.71/5.74 | (3372) all_0_20_20 = e0
% 21.71/5.74 |
% 21.71/5.74 | Combining equations (1727,812) yields a new equation:
% 21.71/5.74 | (10469) all_0_12_12 = e1
% 21.71/5.74 |
% 21.71/5.74 | Simplifying 10469 yields:
% 21.71/5.74 | (1733) all_0_12_12 = e1
% 21.71/5.74 |
% 21.71/5.74 | Combining equations (803,1732) yields a new equation:
% 21.71/5.74 | (10471) all_0_26_26 = e4
% 21.71/5.74 |
% 21.71/5.74 | Simplifying 10471 yields:
% 21.71/5.74 | (9883) all_0_26_26 = e4
% 21.71/5.74 |
% 21.71/5.74 | Combining equations (10458,10457) yields a new equation:
% 21.71/5.74 | (2256) all_0_17_17 = e3
% 21.71/5.74 |
% 21.71/5.74 +-Applying beta-rule and splitting (128), into two cases.
% 21.71/5.74 |-Branch one:
% 21.71/5.74 | (837) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)) | (all_0_42_42 = e2 & ~ (all_0_44_44 = e4))
% 21.71/5.74 |
% 21.71/5.74 +-Applying beta-rule and splitting (837), into two cases.
% 21.71/5.74 |-Branch one:
% 21.71/5.74 | (838) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1))
% 21.71/5.74 |
% 21.71/5.74 +-Applying beta-rule and splitting (838), into two cases.
% 21.71/5.74 |-Branch one:
% 21.71/5.74 | (839) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56))
% 21.71/5.75 |
% 21.71/5.75 +-Applying beta-rule and splitting (839), into two cases.
% 21.71/5.75 |-Branch one:
% 21.71/5.75 | (840) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55))
% 21.71/5.75 |
% 21.71/5.75 +-Applying beta-rule and splitting (840), into two cases.
% 21.71/5.75 |-Branch one:
% 21.71/5.75 | (841) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54))
% 21.71/5.75 |
% 21.71/5.75 +-Applying beta-rule and splitting (841), into two cases.
% 21.71/5.75 |-Branch one:
% 21.71/5.75 | (842) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53))
% 21.71/5.75 |
% 21.71/5.75 +-Applying beta-rule and splitting (842), into two cases.
% 21.71/5.75 |-Branch one:
% 21.71/5.75 | (843) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52))
% 21.71/5.75 |
% 21.71/5.75 +-Applying beta-rule and splitting (843), into two cases.
% 21.71/5.75 |-Branch one:
% 21.71/5.75 | (844) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)) | (all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51))
% 21.71/5.75 |
% 21.71/5.75 +-Applying beta-rule and splitting (844), into two cases.
% 21.71/5.75 |-Branch one:
% 21.71/5.75 | (845) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56))
% 21.71/5.75 |
% 21.71/5.75 +-Applying beta-rule and splitting (845), into two cases.
% 21.71/5.75 |-Branch one:
% 21.71/5.75 | (846) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53))
% 21.71/5.75 |
% 21.71/5.75 +-Applying beta-rule and splitting (846), into two cases.
% 21.71/5.75 |-Branch one:
% 21.71/5.75 | (847) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)) | (all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47))
% 21.71/5.75 |
% 21.71/5.75 +-Applying beta-rule and splitting (847), into two cases.
% 21.71/5.75 |-Branch one:
% 21.71/5.75 | (848) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)) | (all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55))
% 21.71/5.75 |
% 21.71/5.75 +-Applying beta-rule and splitting (848), into two cases.
% 21.71/5.75 |-Branch one:
% 21.71/5.75 | (849) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)) | (all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52))
% 21.71/5.75 |
% 21.71/5.75 +-Applying beta-rule and splitting (849), into two cases.
% 21.71/5.75 |-Branch one:
% 21.71/5.75 | (850) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47))
% 21.71/5.75 |
% 21.71/5.75 +-Applying beta-rule and splitting (850), into two cases.
% 21.71/5.75 |-Branch one:
% 21.71/5.75 | (851) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42))
% 21.71/5.75 |
% 21.71/5.75 +-Applying beta-rule and splitting (851), into two cases.
% 21.71/5.75 |-Branch one:
% 21.71/5.75 | (852) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)) | (all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54))
% 21.71/5.75 |
% 21.71/5.75 +-Applying beta-rule and splitting (852), into two cases.
% 21.71/5.75 |-Branch one:
% 21.71/5.75 | (853) (all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)) | (all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51))
% 21.71/5.75 |
% 21.71/5.75 +-Applying beta-rule and splitting (853), into two cases.
% 21.71/5.75 |-Branch one:
% 21.71/5.75 | (854) all_0_2_2 = e4 & ~ (all_0_1_1 = e3) & ~ (all_0_39_39 = all_0_42_42)
% 21.71/5.75 |
% 21.71/5.75 | Applying alpha-rule on (854) yields:
% 21.71/5.75 | (855) all_0_2_2 = e4
% 21.71/5.75 | (856) ~ (all_0_1_1 = e3)
% 21.71/5.75 | (857) ~ (all_0_39_39 = all_0_42_42)
% 21.71/5.75 |
% 21.71/5.75 | Combining equations (855,812) yields a new equation:
% 21.71/5.75 | (858) e4 = e1
% 21.71/5.75 |
% 21.71/5.75 | Simplifying 858 yields:
% 21.71/5.75 | (484) e4 = e1
% 21.71/5.75 |
% 21.71/5.75 | Equations (484) can reduce 114 to:
% 21.71/5.75 | (301) $false
% 21.71/5.75 |
% 21.71/5.75 |-The branch is then unsatisfiable
% 21.71/5.75 |-Branch two:
% 21.71/5.75 | (861) all_0_4_4 = e4 & ~ (all_0_3_3 = e1) & ~ (all_0_40_40 = all_0_51_51)
% 21.71/5.75 |
% 21.71/5.75 | Applying alpha-rule on (861) yields:
% 21.71/5.75 | (862) all_0_4_4 = e4
% 21.71/5.75 | (863) ~ (all_0_3_3 = e1)
% 21.71/5.75 | (864) ~ (all_0_40_40 = all_0_51_51)
% 21.71/5.75 |
% 21.71/5.75 | Combining equations (862,810) yields a new equation:
% 21.71/5.75 | (858) e4 = e1
% 21.71/5.75 |
% 21.71/5.75 | Simplifying 858 yields:
% 21.71/5.75 | (484) e4 = e1
% 21.71/5.75 |
% 21.71/5.75 | Equations (484) can reduce 114 to:
% 21.71/5.75 | (301) $false
% 21.71/5.75 |
% 21.71/5.75 |-The branch is then unsatisfiable
% 21.71/5.75 |-Branch two:
% 21.71/5.75 | (868) all_0_6_6 = e4 & ~ (all_0_5_5 = e0) & ~ (all_0_41_41 = all_0_54_54)
% 21.71/5.75 |
% 21.71/5.75 | Applying alpha-rule on (868) yields:
% 21.71/5.75 | (869) all_0_6_6 = e4
% 21.71/5.75 | (870) ~ (all_0_5_5 = e0)
% 21.71/5.75 | (871) ~ (all_0_41_41 = all_0_54_54)
% 21.71/5.75 |
% 21.71/5.75 | Equations (802) can reduce 870 to:
% 21.71/5.75 | (301) $false
% 21.71/5.75 |
% 21.71/5.75 |-The branch is then unsatisfiable
% 21.71/5.75 |-Branch two:
% 21.71/5.75 | (873) all_0_8_8 = e3 & ~ (all_0_7_7 = e4) & ~ (all_0_39_39 = all_0_42_42)
% 21.71/5.75 |
% 21.71/5.75 | Applying alpha-rule on (873) yields:
% 21.71/5.75 | (874) all_0_8_8 = e3
% 21.71/5.75 | (875) ~ (all_0_7_7 = e4)
% 21.71/5.75 | (857) ~ (all_0_39_39 = all_0_42_42)
% 21.71/5.75 |
% 21.71/5.75 | Equations (1732) can reduce 875 to:
% 21.71/5.75 | (301) $false
% 21.71/5.75 |
% 21.71/5.75 |-The branch is then unsatisfiable
% 21.71/5.75 |-Branch two:
% 21.71/5.75 | (880) all_0_11_11 = e3 & ~ (all_0_10_10 = e2) & ~ (all_0_44_44 = all_0_47_47)
% 21.71/5.75 |
% 21.71/5.75 | Applying alpha-rule on (880) yields:
% 21.71/5.75 | (881) all_0_11_11 = e3
% 21.71/5.75 | (882) ~ (all_0_10_10 = e2)
% 21.71/5.75 | (883) ~ (all_0_44_44 = all_0_47_47)
% 21.71/5.75 |
% 21.71/5.75 | Combining equations (881,1721) yields a new equation:
% 21.71/5.75 | (707) e3 = e1
% 21.71/5.75 |
% 21.71/5.75 | Simplifying 707 yields:
% 21.71/5.75 | (708) e3 = e1
% 21.71/5.75 |
% 21.71/5.75 | Equations (708) can reduce 234 to:
% 21.71/5.75 | (301) $false
% 21.71/5.75 |
% 21.71/5.75 |-The branch is then unsatisfiable
% 21.71/5.75 |-Branch two:
% 21.71/5.75 | (886) all_0_13_13 = e3 & ~ (all_0_12_12 = e1) & ~ (all_0_45_45 = all_0_52_52)
% 21.71/5.75 |
% 21.71/5.75 | Applying alpha-rule on (886) yields:
% 21.71/5.75 | (887) all_0_13_13 = e3
% 21.71/5.75 | (888) ~ (all_0_12_12 = e1)
% 21.71/5.75 | (889) ~ (all_0_45_45 = all_0_52_52)
% 21.71/5.75 |
% 21.71/5.75 | Equations (1733) can reduce 888 to:
% 21.71/5.75 | (301) $false
% 21.71/5.75 |
% 21.71/5.75 |-The branch is then unsatisfiable
% 21.71/5.75 |-Branch two:
% 21.71/5.75 | (893) all_0_15_15 = e3 & ~ (all_0_14_14 = e0) & ~ (all_0_46_46 = all_0_55_55)
% 21.71/5.75 |
% 21.71/5.75 | Applying alpha-rule on (893) yields:
% 21.71/5.75 | (894) all_0_15_15 = e3
% 21.71/5.75 | (895) ~ (all_0_14_14 = e0)
% 21.71/5.75 | (896) ~ (all_0_46_46 = all_0_55_55)
% 21.71/5.75 |
% 21.71/5.75 | Equations (1651,520) can reduce 896 to:
% 21.71/5.75 | (301) $false
% 21.71/5.75 |
% 21.71/5.75 |-The branch is then unsatisfiable
% 21.71/5.75 |-Branch two:
% 21.71/5.75 | (900) all_0_17_17 = e2 & ~ (all_0_16_16 = e3) & ~ (all_0_44_44 = all_0_47_47)
% 21.71/5.75 |
% 21.71/5.75 | Applying alpha-rule on (900) yields:
% 21.71/5.75 | (901) all_0_17_17 = e2
% 21.71/5.75 | (902) ~ (all_0_16_16 = e3)
% 21.71/5.75 | (883) ~ (all_0_44_44 = all_0_47_47)
% 21.71/5.75 |
% 21.71/5.75 | Combining equations (901,2256) yields a new equation:
% 21.71/5.75 | (573) e3 = e2
% 21.71/5.75 |
% 21.71/5.75 | Equations (573) can reduce 231 to:
% 21.71/5.75 | (301) $false
% 21.71/5.75 |
% 21.71/5.75 |-The branch is then unsatisfiable
% 21.71/5.75 |-Branch two:
% 21.71/5.75 | (906) all_0_20_20 = e2 & ~ (all_0_19_19 = e1) & ~ (all_0_49_49 = all_0_53_53)
% 21.71/5.75 |
% 21.71/5.75 | Applying alpha-rule on (906) yields:
% 21.71/5.75 | (907) all_0_20_20 = e2
% 21.71/5.75 | (908) ~ (all_0_19_19 = e1)
% 21.71/5.75 | (909) ~ (all_0_49_49 = all_0_53_53)
% 21.71/5.75 |
% 21.71/5.75 | Combining equations (907,3372) yields a new equation:
% 21.71/5.75 | (352) e2 = e0
% 21.71/5.75 |
% 21.71/5.75 | Simplifying 352 yields:
% 21.71/5.75 | (345) e2 = e0
% 21.71/5.75 |
% 21.71/5.75 | Equations (345) can reduce 133 to:
% 21.71/5.75 | (301) $false
% 21.71/5.75 |
% 21.71/5.75 |-The branch is then unsatisfiable
% 21.71/5.75 |-Branch two:
% 21.71/5.75 | (912) all_0_22_22 = e2 & ~ (all_0_21_21 = e0) & ~ (all_0_50_50 = all_0_56_56)
% 21.71/5.75 |
% 21.71/5.75 | Applying alpha-rule on (912) yields:
% 21.71/5.75 | (913) all_0_22_22 = e2
% 21.71/5.75 | (914) ~ (all_0_21_21 = e0)
% 21.71/5.75 | (915) ~ (all_0_50_50 = all_0_56_56)
% 21.71/5.75 |
% 21.71/5.75 | Equations (331,637) can reduce 915 to:
% 21.71/5.75 | (301) $false
% 21.71/5.75 |
% 21.71/5.75 |-The branch is then unsatisfiable
% 21.71/5.75 |-Branch two:
% 21.71/5.75 | (918) all_0_24_24 = e1 & ~ (all_0_23_23 = e4) & ~ (all_0_40_40 = all_0_51_51)
% 21.71/5.75 |
% 21.71/5.75 | Applying alpha-rule on (918) yields:
% 21.71/5.75 | (919) all_0_24_24 = e1
% 21.71/5.75 | (920) ~ (all_0_23_23 = e4)
% 21.71/5.75 | (864) ~ (all_0_40_40 = all_0_51_51)
% 21.71/5.75 |
% 21.71/5.75 | Combining equations (919,8568) yields a new equation:
% 21.71/5.75 | (934) e1 = e0
% 21.71/5.75 |
% 21.71/5.75 | Simplifying 934 yields:
% 21.71/5.75 | (935) e1 = e0
% 21.71/5.75 |
% 21.71/5.75 | Equations (935) can reduce 247 to:
% 21.71/5.75 | (301) $false
% 21.71/5.75 |
% 21.71/5.75 |-The branch is then unsatisfiable
% 21.71/5.75 |-Branch two:
% 21.71/5.75 | (924) all_0_26_26 = e1 & ~ (all_0_25_25 = e3) & ~ (all_0_45_45 = all_0_52_52)
% 21.71/5.75 |
% 21.71/5.75 | Applying alpha-rule on (924) yields:
% 21.71/5.75 | (925) all_0_26_26 = e1
% 21.71/5.75 | (926) ~ (all_0_25_25 = e3)
% 21.71/5.75 | (889) ~ (all_0_45_45 = all_0_52_52)
% 21.71/5.75 |
% 21.71/5.75 | Combining equations (925,9883) yields a new equation:
% 21.71/5.75 | (484) e4 = e1
% 21.71/5.75 |
% 21.71/5.75 | Equations (484) can reduce 114 to:
% 21.71/5.75 | (301) $false
% 21.71/5.75 |
% 21.71/5.75 |-The branch is then unsatisfiable
% 21.71/5.75 |-Branch two:
% 21.71/5.75 | (930) all_0_28_28 = e1 & ~ (all_0_27_27 = e2) & ~ (all_0_49_49 = all_0_53_53)
% 21.71/5.75 |
% 21.71/5.75 | Applying alpha-rule on (930) yields:
% 21.71/5.75 | (931) all_0_28_28 = e1
% 21.71/5.75 | (932) ~ (all_0_27_27 = e2)
% 21.71/5.75 | (909) ~ (all_0_49_49 = all_0_53_53)
% 21.71/5.75 |
% 21.71/5.75 | Combining equations (931,1724) yields a new equation:
% 21.71/5.75 | (484) e4 = e1
% 21.71/5.75 |
% 21.71/5.75 | Equations (484) can reduce 114 to:
% 21.71/5.75 | (301) $false
% 21.71/5.75 |
% 21.71/5.75 |-The branch is then unsatisfiable
% 21.71/5.75 |-Branch two:
% 21.71/5.75 | (937) all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_41_41 = all_0_54_54)
% 21.71/5.75 |
% 21.71/5.75 | Applying alpha-rule on (937) yields:
% 21.71/5.75 | (938) all_0_30_30 = e0
% 21.71/5.75 | (939) ~ (all_0_29_29 = e4)
% 21.71/5.75 | (871) ~ (all_0_41_41 = all_0_54_54)
% 21.71/5.75 |
% 21.71/5.75 | Combining equations (2642,938) yields a new equation:
% 21.71/5.75 | (316) e4 = e0
% 21.71/5.75 |
% 21.71/5.75 | Simplifying 316 yields:
% 21.71/5.75 | (317) e4 = e0
% 21.71/5.75 |
% 21.71/5.75 | Equations (317) can reduce 43 to:
% 21.71/5.75 | (301) $false
% 21.71/5.75 |
% 21.71/5.75 |-The branch is then unsatisfiable
% 21.71/5.75 |-Branch two:
% 21.71/5.75 | (944) all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_46_46 = all_0_55_55)
% 21.71/5.75 |
% 21.71/5.75 | Applying alpha-rule on (944) yields:
% 21.71/5.75 | (945) all_0_32_32 = e0
% 21.71/5.75 | (946) ~ (all_0_31_31 = e3)
% 21.71/5.75 | (896) ~ (all_0_46_46 = all_0_55_55)
% 21.71/5.75 |
% 21.71/5.75 | Equations (1651,520) can reduce 896 to:
% 21.71/5.75 | (301) $false
% 21.71/5.75 |
% 21.71/5.75 |-The branch is then unsatisfiable
% 21.71/5.75 |-Branch two:
% 21.71/5.75 | (949) all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_50_50 = all_0_56_56)
% 21.71/5.75 |
% 21.71/5.75 | Applying alpha-rule on (949) yields:
% 21.71/5.75 | (950) all_0_34_34 = e0
% 21.71/5.76 | (951) ~ (all_0_33_33 = e2)
% 21.71/5.76 | (915) ~ (all_0_50_50 = all_0_56_56)
% 21.71/5.76 |
% 21.71/5.76 | Equations (331,637) can reduce 915 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (956) all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_57_57 = e1)
% 21.71/5.76 |
% 21.71/5.76 | Applying alpha-rule on (956) yields:
% 21.71/5.76 | (957) all_0_36_36 = e0
% 21.71/5.76 | (958) ~ (all_0_35_35 = e1)
% 21.71/5.76 | (726) ~ (all_0_57_57 = e1)
% 21.71/5.76 |
% 21.71/5.76 | Combining equations (3373,957) yields a new equation:
% 21.71/5.76 | (352) e2 = e0
% 21.71/5.76 |
% 21.71/5.76 | Simplifying 352 yields:
% 21.71/5.76 | (345) e2 = e0
% 21.71/5.76 |
% 21.71/5.76 | Equations (345) can reduce 133 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (963) all_0_42_42 = e2 & ~ (all_0_44_44 = e4)
% 21.71/5.76 |
% 21.71/5.76 | Applying alpha-rule on (963) yields:
% 21.71/5.76 | (737) all_0_42_42 = e2
% 21.71/5.76 | (407) ~ (all_0_44_44 = e4)
% 21.71/5.76 |
% 21.71/5.76 | Equations (403) can reduce 407 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (969) all_0_53_53 = e4 & ~ (all_0_51_51 = e2)
% 21.71/5.76 |
% 21.71/5.76 | Applying alpha-rule on (969) yields:
% 21.71/5.76 | (409) all_0_53_53 = e4
% 21.71/5.76 | (971) ~ (all_0_51_51 = e2)
% 21.71/5.76 |
% 21.71/5.76 | Combining equations (419,409) yields a new equation:
% 21.71/5.76 | (420) e4 = e3
% 21.71/5.76 |
% 21.71/5.76 | Equations (420) can reduce 199 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (698) ~ (all_0_39_39 = e3)
% 21.71/5.76 | (699) all_0_43_43 = e3 | all_0_52_52 = e3 | all_0_55_55 = e3
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (244), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (344) all_0_39_39 = e2
% 21.71/5.76 |
% 21.71/5.76 | Equations (344) can reduce 347 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (347) ~ (all_0_39_39 = e2)
% 21.71/5.76 | (1218) all_0_39_39 = e4 | all_0_39_39 = e3 | all_0_39_39 = e0
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (1218), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (428) all_0_39_39 = e4
% 21.71/5.76 |
% 21.71/5.76 | Equations (428) can reduce 296 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (296) ~ (all_0_39_39 = e4)
% 21.71/5.76 | (1222) all_0_39_39 = e3 | all_0_39_39 = e0
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (1222), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (323) all_0_39_39 = e0
% 21.71/5.76 |
% 21.71/5.76 | Equations (323) can reduce 322 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (322) ~ (all_0_39_39 = e0)
% 21.71/5.76 | (694) all_0_39_39 = e3
% 21.71/5.76 |
% 21.71/5.76 | Equations (694) can reduce 698 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (729) ~ (all_0_40_40 = e2)
% 21.71/5.76 | (3733) all_0_40_40 = e4 | all_0_40_40 = e3
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (244), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (344) all_0_39_39 = e2
% 21.71/5.76 |
% 21.71/5.76 | Equations (344) can reduce 347 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (347) ~ (all_0_39_39 = e2)
% 21.71/5.76 | (1218) all_0_39_39 = e4 | all_0_39_39 = e3 | all_0_39_39 = e0
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (53), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (344) all_0_39_39 = e2
% 21.71/5.76 |
% 21.71/5.76 | Equations (344) can reduce 347 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (347) ~ (all_0_39_39 = e2)
% 21.71/5.76 | (1211) all_0_40_40 = e2 | all_0_41_41 = e2
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (1211), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (1380) all_0_40_40 = e2
% 21.71/5.76 |
% 21.71/5.76 | Equations (1380) can reduce 729 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (729) ~ (all_0_40_40 = e2)
% 21.71/5.76 | (552) all_0_41_41 = e2
% 21.71/5.76 |
% 21.71/5.76 | Combining equations (552,545) yields a new equation:
% 21.71/5.76 | (504) e4 = e2
% 21.71/5.76 |
% 21.71/5.76 | Equations (504) can reduce 42 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (279) ~ (all_0_52_52 = e2)
% 21.71/5.76 | (1254) all_0_53_53 = e2
% 21.71/5.76 |
% 21.71/5.76 | Combining equations (1254,419) yields a new equation:
% 21.71/5.76 | (573) e3 = e2
% 21.71/5.76 |
% 21.71/5.76 | Equations (573) can reduce 231 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (407) ~ (all_0_44_44 = e4)
% 21.71/5.76 | (408) all_0_53_53 = e4 | all_0_56_56 = e4
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (1191), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (447) all_0_52_52 = e2
% 21.71/5.76 |
% 21.71/5.76 | Equations (447) can reduce 410 to:
% 21.71/5.76 | (271) ~ (e4 = e2)
% 21.71/5.76 |
% 21.71/5.76 | Simplifying 271 yields:
% 21.71/5.76 | (42) ~ (e4 = e2)
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (408), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (409) all_0_53_53 = e4
% 21.71/5.76 |
% 21.71/5.76 | Combining equations (409,419) yields a new equation:
% 21.71/5.76 | (508) e4 = e3
% 21.71/5.76 |
% 21.71/5.76 | Simplifying 508 yields:
% 21.71/5.76 | (420) e4 = e3
% 21.71/5.76 |
% 21.71/5.76 | Equations (420) can reduce 199 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (522) ~ (all_0_53_53 = e4)
% 21.71/5.76 | (523) all_0_56_56 = e4
% 21.71/5.76 |
% 21.71/5.76 | Combining equations (523,637) yields a new equation:
% 21.71/5.76 | (553) e4 = e2
% 21.71/5.76 |
% 21.71/5.76 | Simplifying 553 yields:
% 21.71/5.76 | (504) e4 = e2
% 21.71/5.76 |
% 21.71/5.76 | Equations (504) can reduce 42 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (279) ~ (all_0_52_52 = e2)
% 21.71/5.76 | (1254) all_0_53_53 = e2
% 21.71/5.76 |
% 21.71/5.76 | Combining equations (1254,419) yields a new equation:
% 21.71/5.76 | (573) e3 = e2
% 21.71/5.76 |
% 21.71/5.76 | Equations (573) can reduce 231 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (270) ~ (all_0_56_56 = e2)
% 21.71/5.76 | (640) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (640), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (523) all_0_56_56 = e4
% 21.71/5.76 |
% 21.71/5.76 | Equations (523) can reduce 376 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (376) ~ (all_0_56_56 = e4)
% 21.71/5.76 | (1123) all_0_56_56 = e3 | all_0_56_56 = e0
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (1123), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (538) all_0_56_56 = e0
% 21.71/5.76 |
% 21.71/5.76 | Equations (538) can reduce 374 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (374) ~ (all_0_56_56 = e0)
% 21.71/5.76 | (423) all_0_56_56 = e3
% 21.71/5.76 |
% 21.71/5.76 | Equations (423) can reduce 596 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (277) ~ (all_0_42_42 = e2)
% 21.71/5.76 | (1196) all_0_51_51 = e2 | all_0_54_54 = e2
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (227), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (737) all_0_42_42 = e2
% 21.71/5.76 |
% 21.71/5.76 | Equations (737) can reduce 277 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (277) ~ (all_0_42_42 = e2)
% 21.71/5.76 | (783) all_0_42_42 = e4 | all_0_42_42 = e1 | all_0_42_42 = e0
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (91), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (794) all_0_42_42 = e4
% 21.71/5.76 |
% 21.71/5.76 | Equations (794) can reduce 974 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (974) ~ (all_0_42_42 = e4)
% 21.71/5.76 | (3996) all_0_44_44 = e4 | all_0_45_45 = e4 | all_0_46_46 = e4
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (3996), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (403) all_0_44_44 = e4
% 21.71/5.76 |
% 21.71/5.76 | Equations (403) can reduce 84 to:
% 21.71/5.76 | (974) ~ (all_0_42_42 = e4)
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (254), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (1380) all_0_40_40 = e2
% 21.71/5.76 |
% 21.71/5.76 | Equations (1380) can reduce 171 to:
% 21.71/5.76 | (133) ~ (e2 = e0)
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (1650), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (1651) all_0_46_46 = e0
% 21.71/5.76 |
% 21.71/5.76 | Equations (1651) can reduce 14 to:
% 21.71/5.76 | (680) ~ (all_0_42_42 = e0)
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (783), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (794) all_0_42_42 = e4
% 21.71/5.76 |
% 21.71/5.76 | Equations (794) can reduce 974 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (974) ~ (all_0_42_42 = e4)
% 21.71/5.76 | (975) all_0_42_42 = e1 | all_0_42_42 = e0
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (975), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (976) all_0_42_42 = e0
% 21.71/5.76 |
% 21.71/5.76 | Equations (976) can reduce 680 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (680) ~ (all_0_42_42 = e0)
% 21.71/5.76 | (979) all_0_42_42 = e1
% 21.71/5.76 |
% 21.71/5.76 | Equations (979) can reduce 785 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (625) ~ (all_0_46_46 = e0)
% 21.71/5.76 | (1656) all_0_50_50 = e0 | all_0_58_58 = e0
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (1656), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (356) all_0_50_50 = e0
% 21.71/5.76 |
% 21.71/5.76 | Combining equations (331,356) yields a new equation:
% 21.71/5.76 | (352) e2 = e0
% 21.71/5.76 |
% 21.71/5.76 | Simplifying 352 yields:
% 21.71/5.76 | (345) e2 = e0
% 21.71/5.76 |
% 21.71/5.76 | Equations (345) can reduce 133 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (310) ~ (all_0_50_50 = e0)
% 21.71/5.76 | (308) all_0_58_58 = e0
% 21.71/5.76 |
% 21.71/5.76 | Combining equations (308,366) yields a new equation:
% 21.71/5.76 | (415) e3 = e0
% 21.71/5.76 |
% 21.71/5.76 | Equations (415) can reduce 81 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (729) ~ (all_0_40_40 = e2)
% 21.71/5.76 | (3733) all_0_40_40 = e4 | all_0_40_40 = e3
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (3733), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (465) all_0_40_40 = e4
% 21.71/5.76 |
% 21.71/5.76 | Equations (465) can reduce 298 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (298) ~ (all_0_40_40 = e4)
% 21.71/5.76 | (768) all_0_40_40 = e3
% 21.71/5.76 |
% 21.71/5.76 | Equations (768) can reduce 994 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (407) ~ (all_0_44_44 = e4)
% 21.71/5.76 | (4006) all_0_45_45 = e4 | all_0_46_46 = e4
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (4006), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (481) all_0_45_45 = e4
% 21.71/5.76 |
% 21.71/5.76 | Combining equations (2016,481) yields a new equation:
% 21.71/5.76 | (420) e4 = e3
% 21.71/5.76 |
% 21.71/5.76 | Equations (420) can reduce 199 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (489) ~ (all_0_45_45 = e4)
% 21.71/5.76 | (1056) all_0_46_46 = e4
% 21.71/5.76 |
% 21.71/5.76 | Equations (1056) can reduce 1083 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (710) ~ (all_0_43_43 = e1)
% 21.71/5.76 | (711) all_0_47_47 = e1 | all_0_55_55 = e1
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (2395), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (1651) all_0_46_46 = e0
% 21.71/5.76 |
% 21.71/5.76 | Equations (1651) can reduce 14 to:
% 21.71/5.76 | (680) ~ (all_0_42_42 = e0)
% 21.71/5.76 |
% 21.71/5.76 | Equations (1651) can reduce 174 to:
% 21.71/5.76 | (384) ~ (all_0_43_43 = e0)
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (209), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (483) all_0_47_47 = e1
% 21.71/5.76 |
% 21.71/5.76 | Combining equations (483,462) yields a new equation:
% 21.71/5.76 | (484) e4 = e1
% 21.71/5.76 |
% 21.71/5.76 | Equations (484) can reduce 114 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (486) ~ (all_0_47_47 = e1)
% 21.71/5.76 | (487) all_0_49_49 = e1
% 21.71/5.76 |
% 21.71/5.76 | Equations (487) can reduce 23 to:
% 21.71/5.76 | (477) ~ (all_0_45_45 = e1)
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (28), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (979) all_0_42_42 = e1
% 21.71/5.76 |
% 21.71/5.76 | Equations (979) can reduce 974 to:
% 21.71/5.76 | (479) ~ (e4 = e1)
% 21.71/5.76 |
% 21.71/5.76 | Simplifying 479 yields:
% 21.71/5.76 | (114) ~ (e4 = e1)
% 21.71/5.76 |
% 21.71/5.76 | Equations (979) can reduce 680 to:
% 21.71/5.76 | (247) ~ (e1 = e0)
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (711), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (483) all_0_47_47 = e1
% 21.71/5.76 |
% 21.71/5.76 | Combining equations (462,483) yields a new equation:
% 21.71/5.76 | (858) e4 = e1
% 21.71/5.76 |
% 21.71/5.76 | Simplifying 858 yields:
% 21.71/5.76 | (484) e4 = e1
% 21.71/5.76 |
% 21.71/5.76 | Equations (484) can reduce 114 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (486) ~ (all_0_47_47 = e1)
% 21.71/5.76 | (1020) all_0_55_55 = e1
% 21.71/5.76 |
% 21.71/5.76 | Combining equations (520,1020) yields a new equation:
% 21.71/5.76 | (935) e1 = e0
% 21.71/5.76 |
% 21.71/5.76 | Equations (935) can reduce 247 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (785) ~ (all_0_42_42 = e1)
% 21.71/5.76 | (1997) all_0_43_43 = e1 | all_0_45_45 = e1
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (227), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (737) all_0_42_42 = e2
% 21.71/5.76 |
% 21.71/5.76 | Equations (737) can reduce 8 to:
% 21.71/5.76 | (667) ~ (all_0_43_43 = e2)
% 21.71/5.76 |
% 21.71/5.76 | Simplifying 667 yields:
% 21.71/5.76 | (275) ~ (all_0_43_43 = e2)
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (204), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (439) all_0_43_43 = e2
% 21.71/5.76 |
% 21.71/5.76 | Equations (439) can reduce 275 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.76 | (275) ~ (all_0_43_43 = e2)
% 21.71/5.76 | (1227) all_0_43_43 = e3 | all_0_43_43 = e1 | all_0_43_43 = e0
% 21.71/5.76 |
% 21.71/5.76 +-Applying beta-rule and splitting (1227), into two cases.
% 21.71/5.76 |-Branch one:
% 21.71/5.76 | (513) all_0_43_43 = e0
% 21.71/5.76 |
% 21.71/5.76 | Equations (513) can reduce 384 to:
% 21.71/5.76 | (301) $false
% 21.71/5.76 |
% 21.71/5.76 |-The branch is then unsatisfiable
% 21.71/5.76 |-Branch two:
% 21.71/5.77 | (384) ~ (all_0_43_43 = e0)
% 21.71/5.77 | (1231) all_0_43_43 = e3 | all_0_43_43 = e1
% 21.71/5.77 |
% 21.71/5.77 +-Applying beta-rule and splitting (1231), into two cases.
% 21.71/5.77 |-Branch one:
% 21.71/5.77 | (700) all_0_43_43 = e3
% 21.71/5.77 |
% 21.71/5.77 | Equations (700) can reduce 240 to:
% 21.71/5.77 | (3066) ~ (all_0_52_52 = e3)
% 21.71/5.77 |
% 21.71/5.77 | Simplifying 3066 yields:
% 21.71/5.77 | (506) ~ (all_0_52_52 = e3)
% 21.71/5.77 |
% 21.71/5.77 +-Applying beta-rule and splitting (201), into two cases.
% 21.71/5.77 |-Branch one:
% 21.71/5.77 | (455) all_0_52_52 = e3
% 21.71/5.77 |
% 21.71/5.77 | Equations (455) can reduce 506 to:
% 21.71/5.77 | (301) $false
% 21.71/5.77 |
% 21.71/5.77 |-The branch is then unsatisfiable
% 21.71/5.77 |-Branch two:
% 21.71/5.77 | (506) ~ (all_0_52_52 = e3)
% 21.71/5.77 | (419) all_0_53_53 = e3
% 21.71/5.77 |
% 21.71/5.77 | Equations (419) can reduce 104 to:
% 21.71/5.77 | (234) ~ (e3 = e1)
% 21.71/5.77 |
% 21.71/5.77 +-Applying beta-rule and splitting (1997), into two cases.
% 21.71/5.77 |-Branch one:
% 21.71/5.77 | (706) all_0_43_43 = e1
% 21.71/5.77 |
% 21.71/5.77 | Combining equations (706,700) yields a new equation:
% 21.71/5.77 | (708) e3 = e1
% 21.71/5.77 |
% 21.71/5.77 | Equations (708) can reduce 234 to:
% 21.71/5.77 | (301) $false
% 21.71/5.77 |
% 21.71/5.77 |-The branch is then unsatisfiable
% 21.71/5.77 |-Branch two:
% 21.71/5.77 | (710) ~ (all_0_43_43 = e1)
% 21.71/5.77 | (784) all_0_45_45 = e1
% 21.71/5.77 |
% 21.71/5.77 | Equations (784) can reduce 477 to:
% 21.71/5.77 | (301) $false
% 21.71/5.77 |
% 21.71/5.77 |-The branch is then unsatisfiable
% 21.71/5.77 |-Branch two:
% 21.71/5.77 | (1024) ~ (all_0_43_43 = e3)
% 21.71/5.77 | (706) all_0_43_43 = e1
% 21.71/5.77 |
% 21.71/5.77 | Equations (706) can reduce 710 to:
% 21.71/5.77 | (301) $false
% 21.71/5.77 |
% 21.71/5.77 |-The branch is then unsatisfiable
% 21.71/5.77 |-Branch two:
% 21.71/5.77 | (277) ~ (all_0_42_42 = e2)
% 21.71/5.77 | (783) all_0_42_42 = e4 | all_0_42_42 = e1 | all_0_42_42 = e0
% 21.71/5.77 |
% 21.71/5.77 +-Applying beta-rule and splitting (783), into two cases.
% 21.71/5.77 |-Branch one:
% 21.71/5.77 | (794) all_0_42_42 = e4
% 21.71/5.77 |
% 21.71/5.77 | Equations (794) can reduce 974 to:
% 21.71/5.77 | (301) $false
% 21.71/5.77 |
% 21.71/5.77 |-The branch is then unsatisfiable
% 21.71/5.77 |-Branch two:
% 21.71/5.77 | (974) ~ (all_0_42_42 = e4)
% 21.71/5.77 | (975) all_0_42_42 = e1 | all_0_42_42 = e0
% 21.71/5.77 |
% 21.71/5.77 +-Applying beta-rule and splitting (975), into two cases.
% 21.71/5.77 |-Branch one:
% 21.71/5.77 | (976) all_0_42_42 = e0
% 21.71/5.77 |
% 21.71/5.77 | Equations (976) can reduce 680 to:
% 21.71/5.77 | (301) $false
% 21.71/5.77 |
% 21.71/5.77 |-The branch is then unsatisfiable
% 21.71/5.77 |-Branch two:
% 21.71/5.77 | (680) ~ (all_0_42_42 = e0)
% 21.71/5.77 | (979) all_0_42_42 = e1
% 21.71/5.77 |
% 21.71/5.77 | Equations (979) can reduce 785 to:
% 21.71/5.77 | (301) $false
% 21.71/5.77 |
% 21.71/5.77 |-The branch is then unsatisfiable
% 21.71/5.77 |-Branch two:
% 21.71/5.77 | (625) ~ (all_0_46_46 = e0)
% 21.71/5.77 | (570) all_0_46_46 = e3
% 21.71/5.77 |
% 21.71/5.77 | Equations (570) can reduce 583 to:
% 21.71/5.77 | (301) $false
% 21.71/5.77 |
% 21.71/5.77 |-The branch is then unsatisfiable
% 21.71/5.77 |-Branch two:
% 21.71/5.77 | (497) ~ (all_0_47_47 = e4)
% 21.71/5.77 | (498) all_0_52_52 = e4 | all_0_55_55 = e4
% 21.71/5.77 |
% 21.71/5.77 +-Applying beta-rule and splitting (1650), into two cases.
% 21.71/5.77 |-Branch one:
% 21.71/5.77 | (1651) all_0_46_46 = e0
% 21.71/5.77 |
% 21.71/5.77 | Equations (1651) can reduce 1083 to:
% 21.71/5.77 | (311) ~ (e4 = e0)
% 21.71/5.77 |
% 21.71/5.77 | Simplifying 311 yields:
% 21.71/5.77 | (43) ~ (e4 = e0)
% 21.71/5.77 |
% 21.71/5.77 +-Applying beta-rule and splitting (498), into two cases.
% 21.71/5.77 |-Branch one:
% 21.71/5.77 | (499) all_0_52_52 = e4
% 21.71/5.77 |
% 21.71/5.77 | Equations (499) can reduce 410 to:
% 21.71/5.77 | (301) $false
% 21.71/5.77 |
% 21.71/5.77 |-The branch is then unsatisfiable
% 21.71/5.77 |-Branch two:
% 21.71/5.77 | (410) ~ (all_0_52_52 = e4)
% 21.71/5.77 | (503) all_0_55_55 = e4
% 21.71/5.77 |
% 21.71/5.77 | Combining equations (520,503) yields a new equation:
% 21.71/5.77 | (317) e4 = e0
% 21.71/5.77 |
% 21.71/5.77 | Equations (317) can reduce 43 to:
% 21.71/5.77 | (301) $false
% 21.71/5.77 |
% 21.71/5.77 |-The branch is then unsatisfiable
% 21.71/5.77 |-Branch two:
% 21.71/5.77 | (625) ~ (all_0_46_46 = e0)
% 21.71/5.77 | (1656) all_0_50_50 = e0 | all_0_58_58 = e0
% 21.71/5.77 |
% 21.71/5.77 +-Applying beta-rule and splitting (1656), into two cases.
% 21.71/5.77 |-Branch one:
% 21.71/5.77 | (356) all_0_50_50 = e0
% 21.71/5.77 |
% 21.71/5.77 | Combining equations (331,356) yields a new equation:
% 21.71/5.77 | (352) e2 = e0
% 21.71/5.77 |
% 21.71/5.77 | Simplifying 352 yields:
% 21.71/5.77 | (345) e2 = e0
% 21.71/5.77 |
% 21.71/5.77 | Equations (345) can reduce 133 to:
% 21.71/5.77 | (301) $false
% 21.71/5.77 |
% 21.71/5.77 |-The branch is then unsatisfiable
% 21.71/5.77 |-Branch two:
% 21.71/5.77 | (310) ~ (all_0_50_50 = e0)
% 21.71/5.77 | (308) all_0_58_58 = e0
% 21.71/5.77 |
% 21.71/5.77 | Combining equations (366,308) yields a new equation:
% 21.71/5.77 | (414) e3 = e0
% 21.71/5.77 |
% 21.71/5.77 | Simplifying 414 yields:
% 21.71/5.77 | (415) e3 = e0
% 21.71/5.77 |
% 21.71/5.77 | Equations (415) can reduce 81 to:
% 21.71/5.77 | (301) $false
% 21.71/5.77 |
% 21.71/5.77 |-The branch is then unsatisfiable
% 21.71/5.77 % SZS output end Proof for theBenchmark
% 21.71/5.77
% 21.71/5.77 5196ms
%------------------------------------------------------------------------------